{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m863-p1728","name":"Fibonacci M863P1728","modulus":863,"pisano_period":1728,"conventions":{"index_origin":0,"clock_labels":[1728,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727],"orientation":"clockwise from north","zero_display":863,"alpha_circle_positions":1728,"beta_circle_positions":863,"node_rule":"Native residues divisible by 3, including zero; preserves the approved M6/M9/M12 reference selection. Additional regular formations of all native values are catalogued separately.","m1_convention":"Modulo 1 has period 1 and residue 0."},"alpha":{"residues":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,124,734,858,729,724,590,451,178,629,807,573,517,227,744,108,852,97,86,183,269,452,721,310,168,478,646,261,44,305,349,654,140,794,71,2,73,75,148,223,371,594,102,696,798,631,566,334,37,371,408,779,324,240,564,804,505,446,88,534,622,293,52,345,397,742,276,155,431,586,154,740,31,771,802,710,649,496,282,778,197,112,309,421,730,288,155,443,598,178,776,91,4,95,99,194,293,487,780,404,321,725,183,45,228,273,501,774,412,323,735,195,67,262,329,591,57,648,705,490,332,822,291,250,541,791,469,397,3,400,403,803,343,283,626,46,672,718,527,382,46,428,474,39,513,552,202,754,93,847,77,61,138,199,337,536,10,546,556,239,795,171,103,274,377,651,165,816,118,71,189,260,449,709,295,141,436,577,150,727,14,741,755,633,525,295,820,252,209,461,670,268,75,343,418,761,316,214,530,744,411,292,703,132,835,104,76,180,256,436,692,265,94,359,453,812,402,351,753,241,131,372,503,12,515,527,179,706,22,728,750,615,502,254,756,147,40,187,227,414,641,192,833,162,132,294,426,720,283,140,423,563,123,686,809,632,578,347,62,409,471,17,488,505,130,635,765,537,439,113,552,665,354,156,510,666,313,116,429,545,111,656,767,560,464,161,625,786,548,471,156,627,783,547,467,151,618,769,524,430,91,521,612,270,19,289,308,597,42,639,681,457,275,732,144,13,157,170,327,497,824,458,419,14,433,447,17,464,481,82,563,645,345,127,472,599,208,807,152,96,248,344,592,73,665,738,540,415,92,507,599,243,842,222,201,423,624,184,808,129,74,203,277,480,757,374,268,642,47,689,736,562,435,134,569,703,409,249,658,44,702,746,585,468,190,658,848,643,628,408,173,581,754,472,363,835,335,307,642,86,728,814,679,630,446,213,659,9,668,677,482,296,778,211,126,337,463,800,400,337,737,211,85,296,381,677,195,9,204,213,417,630,184,814,135,86,221,307,528,835,500,472,109,581,690,408,235,643,15,658,673,468,278,746,161,44,205,249,454,703,294,134,428,562,127,689,816,642,595,374,106,480,586,203,789,129,55,184,239,423,662,222,21,243,264,507,771,415,323,738,198,73,271,344,615,96,711,807,655,599,391,127,518,645,300,82,382,464,846,447,430,14,444,458,39,497,536,170,706,13,719,732,588,457,182,639,821,597,555,289,844,270,251,521,772,430,339,769,245,151,396,547,80,627,707,471,315,786,238,161,399,560,96,656,752,545,434,116,550,666,353,156,509,665,311,113,424,537,98,635,733,505,375,17,392,409,801,347,285,632,54,686,740,563,440,140,580,720,437,294,731,162,30,192,222,414,636,187,823,147,107,254,361,615,113,728,841,706,684,527,348,12,360,372,732,241,110,351,461,812,410,359,769,265,171,436,607,180,787,104,28,132,160,292,452,744,333,214,547,761,445,343,788,268,193,461,654,252,43,295,338,633,108,741,849,727,713,577,427,141,568,709,414,260,674,71,745,816,698,651,486,274,760,171,68,239,307,546,853,536,526,199,725,61,786,847,770,754,661,552,350,39,389,428,817,382,336,718,191,46,237,283,520,803,460,400,860,397,394,791,322,250,572,822,531,490,158,648,806,591,534,262,796,195,128,323,451,774,362,273,635,45,680,725,542,404,83,487,570,194,764,95,859,91,87,178,265,443,708,288,133,421,554,112,666,778,581,496,214,710,61,771,832,740,709,586,432,155,587,742,466,345,811,293,241,534,775,446,358,804,299,240,539,779,455,371,826,334,297,631,65,696,761,594,492,223,715,75,790,2,792,794,723,654,514,305,819,261,217,478,695,310,142,452,594,183,777,97,11,108,119,227,346,573,56,629,685,451,273,724,134,858,129,124,253,377,630,144,774,55,829,21,850,8,858,3,861,1,862,0,862,862,861,860,858,855,850,842,829,808,774,719,630,486,253,739,129,5,134,139,273,412,685,234,56,290,346,636,119,755,11,766,777,680,594,411,142,553,695,385,217,602,819,558,514,209,723,69,792,861,790,788,715,640,492,269,761,167,65,232,297,529,826,492,455,84,539,623,299,59,358,417,775,329,241,570,811,518,466,121,587,708,432,277,709,123,832,92,61,153,214,367,581,85,666,751,554,442,133,575,708,420,265,685,87,772,859,768,764,669,570,376,83,459,542,138,680,818,635,590,362,89,451,540,128,668,796,601,534,272,806,215,158,373,531,41,572,613,322,72,394,466,860,463,460,60,520,580,237,817,191,145,336,481,817,435,389,824,350,311,661,109,770,16,786,802,725,664,526,327,853,317,307,624,68,692,760,589,486,212,698,47,745,792,674,603,414,154,568,722,427,286,713,136,849,122,108,230,338,568,43,611,654,402,193,595,788,520,445,102,547,649,333,119,452,571,160,731,28,759,787,683,607,427,171,598,769,504,410,51,461,512,110,622,732,491,360,851,348,336,684,157,841,135,113,248,361,609,107,716,823,676,636,449,222,671,30,701,731,569,437,143,580,723,440,300,740,177,54,231,285,516,801,454,392,846,375,358,733,228,98,326,424,750,311,198,509,707,353,197,550,747,434,318,752,207,96,303,399,702,238,77,315,392,707,236,80,316,396,712,245,94,339,433,772,342,251,593,844,574,555,266,821,224,182,406,588,131,719,850,706,693,536,366,39,405,444,849,430,416,846,399,382,781,300,218,518,736,391,264,655,56,711,767,615,519,271,790,198,125,323,448,771,356,264,620,21,641,662,440,239,679,55,734,789,660,586,383,106,489,595,221,816,174,127,301,428,729,294,160,454,614,205,819,161,117,278,395,673,205,15,220,235,455,690,282,109,391,500,28,528,556,221,777,135,49,184,233,417,650,204,854,195,186,381,567,85,652,737,526,400,63,463,526,126,652,778,567,482,186,668,854,659,650,446,233,679,49,728,777,642,556,335,28,363,391,754,282,173,455,628,220,848,205,190,395,585,117,702,819,658,614,409,160,569,729,435,301,736,174,47,221,268,489,757,383,277,660,74,734,808,679,624,440,201,641,842,620,599,356,92,448,540,125,665,790,592,519,248,767,152,56,208,264,472,736,345,218,563,781,481,399,17,416,433,849,419,405,824,366,327,693,157,850,144,131,275,406,681,224,42,266,308,574,19,593,612,342,91,433,524,94,618,712,467,316,783,236,156,392,548,77,625,702,464,303,767,207,111,318,429,747,313,197,510,707,354,198,552,750,439,326,765,228,130,358,488,846,471,454,62,516,578,231,809,177,123,300,423,723,283,143,426,569,132,701,833,671,641,449,227,676,40,716,756,609,502,248,750,135,22,157,179,336,515,851,503,491,131,622,753,512,402,51,453,504,94,598,692,427,256,683,76,759,835,731,703,571,411,119,530,649,316,102,418,520,75,595,670,402,209,611,820,568,525,230,755,122,14,136,150,286,436,722,295,154,449,603,189,792,118,47,165,212,377,589,103,692,795,624,556,317,10,327,337,664,138,802,77,16,93,109,202,311,513,824,474,435,46,481,527,145,672,817,626,580,343,60,403,463,3,466,469,72,541,613,291,41,332,373,705,215,57,272,329,601,67,668,735,540,412,89,501,590,228,818,183,138,321,459,780,376,293,669,99,768,4,772,776,685,598,420,155,575,730,442,309,751,197,85,282,367,649,153,802,92,31,123,154,277,431,708,276,121,397,518,52,570,622,329,88,417,505,59,564,623,324,84,408,492,37,529,566,232,798,167,102,269,371,640,148,788,73,861,71,69,140,209,349,558,44,602,646,385,168,553,721,411,269,680,86,766,852,755,744,636,517,290,807,234,178,412,590,139,729,5,734,739,610,486,233,719,89,808,34,842,13,855,5,860,2,862,1],"display_values":[863,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,124,734,858,729,724,590,451,178,629,807,573,517,227,744,108,852,97,86,183,269,452,721,310,168,478,646,261,44,305,349,654,140,794,71,2,73,75,148,223,371,594,102,696,798,631,566,334,37,371,408,779,324,240,564,804,505,446,88,534,622,293,52,345,397,742,276,155,431,586,154,740,31,771,802,710,649,496,282,778,197,112,309,421,730,288,155,443,598,178,776,91,4,95,99,194,293,487,780,404,321,725,183,45,228,273,501,774,412,323,735,195,67,262,329,591,57,648,705,490,332,822,291,250,541,791,469,397,3,400,403,803,343,283,626,46,672,718,527,382,46,428,474,39,513,552,202,754,93,847,77,61,138,199,337,536,10,546,556,239,795,171,103,274,377,651,165,816,118,71,189,260,449,709,295,141,436,577,150,727,14,741,755,633,525,295,820,252,209,461,670,268,75,343,418,761,316,214,530,744,411,292,703,132,835,104,76,180,256,436,692,265,94,359,453,812,402,351,753,241,131,372,503,12,515,527,179,706,22,728,750,615,502,254,756,147,40,187,227,414,641,192,833,162,132,294,426,720,283,140,423,563,123,686,809,632,578,347,62,409,471,17,488,505,130,635,765,537,439,113,552,665,354,156,510,666,313,116,429,545,111,656,767,560,464,161,625,786,548,471,156,627,783,547,467,151,618,769,524,430,91,521,612,270,19,289,308,597,42,639,681,457,275,732,144,13,157,170,327,497,824,458,419,14,433,447,17,464,481,82,563,645,345,127,472,599,208,807,152,96,248,344,592,73,665,738,540,415,92,507,599,243,842,222,201,423,624,184,808,129,74,203,277,480,757,374,268,642,47,689,736,562,435,134,569,703,409,249,658,44,702,746,585,468,190,658,848,643,628,408,173,581,754,472,363,835,335,307,642,86,728,814,679,630,446,213,659,9,668,677,482,296,778,211,126,337,463,800,400,337,737,211,85,296,381,677,195,9,204,213,417,630,184,814,135,86,221,307,528,835,500,472,109,581,690,408,235,643,15,658,673,468,278,746,161,44,205,249,454,703,294,134,428,562,127,689,816,642,595,374,106,480,586,203,789,129,55,184,239,423,662,222,21,243,264,507,771,415,323,738,198,73,271,344,615,96,711,807,655,599,391,127,518,645,300,82,382,464,846,447,430,14,444,458,39,497,536,170,706,13,719,732,588,457,182,639,821,597,555,289,844,270,251,521,772,430,339,769,245,151,396,547,80,627,707,471,315,786,238,161,399,560,96,656,752,545,434,116,550,666,353,156,509,665,311,113,424,537,98,635,733,505,375,17,392,409,801,347,285,632,54,686,740,563,440,140,580,720,437,294,731,162,30,192,222,414,636,187,823,147,107,254,361,615,113,728,841,706,684,527,348,12,360,372,732,241,110,351,461,812,410,359,769,265,171,436,607,180,787,104,28,132,160,292,452,744,333,214,547,761,445,343,788,268,193,461,654,252,43,295,338,633,108,741,849,727,713,577,427,141,568,709,414,260,674,71,745,816,698,651,486,274,760,171,68,239,307,546,853,536,526,199,725,61,786,847,770,754,661,552,350,39,389,428,817,382,336,718,191,46,237,283,520,803,460,400,860,397,394,791,322,250,572,822,531,490,158,648,806,591,534,262,796,195,128,323,451,774,362,273,635,45,680,725,542,404,83,487,570,194,764,95,859,91,87,178,265,443,708,288,133,421,554,112,666,778,581,496,214,710,61,771,832,740,709,586,432,155,587,742,466,345,811,293,241,534,775,446,358,804,299,240,539,779,455,371,826,334,297,631,65,696,761,594,492,223,715,75,790,2,792,794,723,654,514,305,819,261,217,478,695,310,142,452,594,183,777,97,11,108,119,227,346,573,56,629,685,451,273,724,134,858,129,124,253,377,630,144,774,55,829,21,850,8,858,3,861,1,862,863,862,862,861,860,858,855,850,842,829,808,774,719,630,486,253,739,129,5,134,139,273,412,685,234,56,290,346,636,119,755,11,766,777,680,594,411,142,553,695,385,217,602,819,558,514,209,723,69,792,861,790,788,715,640,492,269,761,167,65,232,297,529,826,492,455,84,539,623,299,59,358,417,775,329,241,570,811,518,466,121,587,708,432,277,709,123,832,92,61,153,214,367,581,85,666,751,554,442,133,575,708,420,265,685,87,772,859,768,764,669,570,376,83,459,542,138,680,818,635,590,362,89,451,540,128,668,796,601,534,272,806,215,158,373,531,41,572,613,322,72,394,466,860,463,460,60,520,580,237,817,191,145,336,481,817,435,389,824,350,311,661,109,770,16,786,802,725,664,526,327,853,317,307,624,68,692,760,589,486,212,698,47,745,792,674,603,414,154,568,722,427,286,713,136,849,122,108,230,338,568,43,611,654,402,193,595,788,520,445,102,547,649,333,119,452,571,160,731,28,759,787,683,607,427,171,598,769,504,410,51,461,512,110,622,732,491,360,851,348,336,684,157,841,135,113,248,361,609,107,716,823,676,636,449,222,671,30,701,731,569,437,143,580,723,440,300,740,177,54,231,285,516,801,454,392,846,375,358,733,228,98,326,424,750,311,198,509,707,353,197,550,747,434,318,752,207,96,303,399,702,238,77,315,392,707,236,80,316,396,712,245,94,339,433,772,342,251,593,844,574,555,266,821,224,182,406,588,131,719,850,706,693,536,366,39,405,444,849,430,416,846,399,382,781,300,218,518,736,391,264,655,56,711,767,615,519,271,790,198,125,323,448,771,356,264,620,21,641,662,440,239,679,55,734,789,660,586,383,106,489,595,221,816,174,127,301,428,729,294,160,454,614,205,819,161,117,278,395,673,205,15,220,235,455,690,282,109,391,500,28,528,556,221,777,135,49,184,233,417,650,204,854,195,186,381,567,85,652,737,526,400,63,463,526,126,652,778,567,482,186,668,854,659,650,446,233,679,49,728,777,642,556,335,28,363,391,754,282,173,455,628,220,848,205,190,395,585,117,702,819,658,614,409,160,569,729,435,301,736,174,47,221,268,489,757,383,277,660,74,734,808,679,624,440,201,641,842,620,599,356,92,448,540,125,665,790,592,519,248,767,152,56,208,264,472,736,345,218,563,781,481,399,17,416,433,849,419,405,824,366,327,693,157,850,144,131,275,406,681,224,42,266,308,574,19,593,612,342,91,433,524,94,618,712,467,316,783,236,156,392,548,77,625,702,464,303,767,207,111,318,429,747,313,197,510,707,354,198,552,750,439,326,765,228,130,358,488,846,471,454,62,516,578,231,809,177,123,300,423,723,283,143,426,569,132,701,833,671,641,449,227,676,40,716,756,609,502,248,750,135,22,157,179,336,515,851,503,491,131,622,753,512,402,51,453,504,94,598,692,427,256,683,76,759,835,731,703,571,411,119,530,649,316,102,418,520,75,595,670,402,209,611,820,568,525,230,755,122,14,136,150,286,436,722,295,154,449,603,189,792,118,47,165,212,377,589,103,692,795,624,556,317,10,327,337,664,138,802,77,16,93,109,202,311,513,824,474,435,46,481,527,145,672,817,626,580,343,60,403,463,3,466,469,72,541,613,291,41,332,373,705,215,57,272,329,601,67,668,735,540,412,89,501,590,228,818,183,138,321,459,780,376,293,669,99,768,4,772,776,685,598,420,155,575,730,442,309,751,197,85,282,367,649,153,802,92,31,123,154,277,431,708,276,121,397,518,52,570,622,329,88,417,505,59,564,623,324,84,408,492,37,529,566,232,798,167,102,269,371,640,148,788,73,861,71,69,140,209,349,558,44,602,646,385,168,553,721,411,269,680,86,766,852,755,744,636,517,290,807,234,178,412,590,139,729,5,734,739,610,486,233,719,89,808,34,842,13,855,5,860,2,862,1]},"gamma":{"alpha_indices":[0,4,8,12,18,19,25,26,29,30,31,34,39,42,46,52,56,57,58,59,65,67,68,69,70,74,78,81,88,93,97,100,109,113,115,117,118,119,120,121,122,125,126,130,131,132,133,136,137,143,151,157,158,159,160,163,167,172,175,176,180,181,182,185,190,193,196,198,199,202,207,214,215,218,222,229,231,232,233,236,238,245,246,249,250,254,256,258,259,260,261,262,265,267,275,281,282,285,287,288,289,290,293,295,302,304,305,306,307,311,317,318,322,323,324,325,328,329,333,340,346,347,352,354,360,361,364,366,368,369,370,371,374,378,382,387,392,395,397,398,404,409,413,418,420,422,429,439,441,442,443,444,445,446,449,453,459,460,463,466,472,475,481,482,486,489,490,494,496,497,498,499,500,501,504,505,509,510,511,512,518,519,523,524,527,529,536,537,540,542,543,546,551,555,558,560,561,562,565,567,574,576,582,587,591,593,595,602,604,606,607,608,609,610,611,614,618,623,625,626,627,628,629,632,639,642,646,650,651,661,662,666,667,668,669,674,677,682,684,685,688,692,699,704,706,711,715,728,729,732,734,735,738,742,744,746,753,759,763,764,769,776,781,786,790,794,796,803,806,808,809,812,815,817,818,821,822,829,830,831,834,838,843,846,847,851,852,853,856,859,860,861,864,867,869,870,875,877,878,881,885,888,892,897,899,900,907,908,911,912,913,914,919,925,928,930,936,940,946,947,950,954,959,965,966,969,972,974,975,978,980,988,993,999,1004,1010,1013,1017,1020,1029,1034,1038,1043,1048,1050,1051,1059,1061,1067,1068,1074,1077,1084,1089,1092,1094,1099,1101,1103,1104,1105,1108,1112,1117,1119,1121,1128,1130,1132,1133,1134,1135,1136,1137,1140,1141,1144,1148,1150,1156,1158,1160,1161,1162,1163,1164,1167,1173,1177,1180,1185,1191,1196,1198,1199,1200,1201,1202,1205,1206,1209,1214,1217,1219,1220,1223,1227,1229,1231,1239,1240,1244,1247,1248,1252,1253,1258,1260,1265,1269,1270,1275,1278,1279,1283,1285,1287,1288,1289,1290,1296,1299,1302,1304,1314,1315,1319,1322,1331,1332,1333,1334,1340,1341,1344,1348,1352,1357,1359,1367,1372,1378,1381,1386,1390,1392,1394,1395,1396,1399,1403,1405,1411,1412,1417,1421,1423,1428,1430,1432,1433,1434,1435,1436,1439,1441,1442,1443,1444,1447,1448,1452,1453,1456,1458,1460,1461,1462,1463,1464,1467,1469,1479,1480,1483,1484,1488,1495,1497,1498,1499,1500,1508,1513,1518,1521,1524,1529,1535,1542,1543,1544,1547,1553,1554,1558,1561,1565,1569,1571,1572,1577,1582,1585,1588,1591,1595,1597,1603,1604,1607,1609,1611,1612,1613,1614,1615,1618,1619,1620,1626,1631,1635,1638,1642,1646,1647,1652,1656,1659,1661,1662,1663,1664,1669,1671,1678,1680,1684,1689,1692,1697,1699,1700,1703,1704,1709,1714,1722],"clock_positions":[1728,4,8,12,18,19,25,26,29,30,31,34,39,42,46,52,56,57,58,59,65,67,68,69,70,74,78,81,88,93,97,100,109,113,115,117,118,119,120,121,122,125,126,130,131,132,133,136,137,143,151,157,158,159,160,163,167,172,175,176,180,181,182,185,190,193,196,198,199,202,207,214,215,218,222,229,231,232,233,236,238,245,246,249,250,254,256,258,259,260,261,262,265,267,275,281,282,285,287,288,289,290,293,295,302,304,305,306,307,311,317,318,322,323,324,325,328,329,333,340,346,347,352,354,360,361,364,366,368,369,370,371,374,378,382,387,392,395,397,398,404,409,413,418,420,422,429,439,441,442,443,444,445,446,449,453,459,460,463,466,472,475,481,482,486,489,490,494,496,497,498,499,500,501,504,505,509,510,511,512,518,519,523,524,527,529,536,537,540,542,543,546,551,555,558,560,561,562,565,567,574,576,582,587,591,593,595,602,604,606,607,608,609,610,611,614,618,623,625,626,627,628,629,632,639,642,646,650,651,661,662,666,667,668,669,674,677,682,684,685,688,692,699,704,706,711,715,728,729,732,734,735,738,742,744,746,753,759,763,764,769,776,781,786,790,794,796,803,806,808,809,812,815,817,818,821,822,829,830,831,834,838,843,846,847,851,852,853,856,859,860,861,864,867,869,870,875,877,878,881,885,888,892,897,899,900,907,908,911,912,913,914,919,925,928,930,936,940,946,947,950,954,959,965,966,969,972,974,975,978,980,988,993,999,1004,1010,1013,1017,1020,1029,1034,1038,1043,1048,1050,1051,1059,1061,1067,1068,1074,1077,1084,1089,1092,1094,1099,1101,1103,1104,1105,1108,1112,1117,1119,1121,1128,1130,1132,1133,1134,1135,1136,1137,1140,1141,1144,1148,1150,1156,1158,1160,1161,1162,1163,1164,1167,1173,1177,1180,1185,1191,1196,1198,1199,1200,1201,1202,1205,1206,1209,1214,1217,1219,1220,1223,1227,1229,1231,1239,1240,1244,1247,1248,1252,1253,1258,1260,1265,1269,1270,1275,1278,1279,1283,1285,1287,1288,1289,1290,1296,1299,1302,1304,1314,1315,1319,1322,1331,1332,1333,1334,1340,1341,1344,1348,1352,1357,1359,1367,1372,1378,1381,1386,1390,1392,1394,1395,1396,1399,1403,1405,1411,1412,1417,1421,1423,1428,1430,1432,1433,1434,1435,1436,1439,1441,1442,1443,1444,1447,1448,1452,1453,1456,1458,1460,1461,1462,1463,1464,1467,1469,1479,1480,1483,1484,1488,1495,1497,1498,1499,1500,1508,1513,1518,1521,1524,1529,1535,1542,1543,1544,1547,1553,1554,1558,1561,1565,1569,1571,1572,1577,1582,1585,1588,1591,1595,1597,1603,1604,1607,1609,1611,1612,1613,1614,1615,1618,1619,1620,1626,1631,1635,1638,1642,1646,1647,1652,1656,1659,1661,1662,1663,1664,1669,1671,1678,1680,1684,1689,1692,1697,1699,1700,1703,1704,1709,1714,1722],"clockwise_values":[863,3,21,144,858,729,807,573,744,108,852,183,168,261,654,75,594,102,696,798,408,324,240,564,804,534,345,276,771,282,309,288,99,780,321,183,45,228,273,501,774,735,195,591,57,648,705,822,291,3,672,474,39,513,552,93,138,546,795,171,651,165,816,189,141,150,741,633,525,252,75,744,411,132,180,453,402,351,753,372,12,750,615,756,147,414,192,162,132,294,426,720,423,123,471,765,537,552,354,156,510,666,429,111,786,471,156,627,783,618,612,270,597,42,639,681,732,144,327,447,645,345,807,96,738,540,507,243,222,201,423,624,129,480,642,435,249,702,585,468,408,363,642,630,213,9,126,381,195,9,204,213,417,630,135,528,690,408,15,468,249,294,816,642,480,789,129,423,222,21,243,264,507,771,738,198,615,96,711,807,645,300,846,447,444,39,732,588,639,597,555,270,339,396,627,471,315,786,399,96,666,156,537,375,801,285,54,720,294,162,30,192,222,414,636,147,615,684,348,12,360,372,732,351,171,180,132,744,333,654,252,633,108,741,849,141,414,816,651,486,171,546,786,552,39,336,237,822,531,648,591,534,195,774,273,45,570,87,708,288,666,771,432,345,534,804,240,297,696,594,492,75,792,723,654,819,261,594,183,777,108,573,273,858,129,630,144,774,21,858,3,861,863,861,858,855,774,630,486,129,273,234,636,777,594,411,819,558,723,69,792,861,492,297,492,84,417,570,708,432,123,153,666,708,420,87,768,669,570,459,138,540,534,531,72,60,237,336,435,786,327,624,486,792,603,414,849,108,654,402,102,333,759,171,504,51,732,360,348,336,684,135,609,636,222,30,723,300,177,54,231,285,516,801,846,375,228,750,198,747,318,207,96,303,399,702,315,396,339,342,555,588,693,366,39,405,444,849,846,399,300,264,711,615,519,198,771,264,21,789,660,489,816,174,729,294,819,117,15,690,282,528,777,135,417,204,195,186,381,567,63,126,567,186,777,642,363,282,585,117,702,819,729,435,174,489,660,624,201,540,519,264,345,399,849,405,366,327,693,144,681,42,612,342,618,783,156,702,303,207,111,318,429,747,510,354,198,552,750,765,228,846,471,516,231,177,123,300,423,723,426,132,756,609,750,135,336,753,402,51,453,504,759,411,102,75,402,525,150,603,189,792,165,795,624,327,138,93,513,474,435,672,60,3,72,291,705,57,735,540,501,228,183,138,321,459,780,669,99,768,420,309,282,153,123,708,276,570,417,564,324,84,408,492,798,102,861,69,558,168,411,852,744,636,807,234,729,486,855],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,2078,0,2572,0,744,0,0,183,1752,1124,698,1080,742,0,0,0,1939,779,0,0,0,1039,967,1139,2097,2657,1087,1151,2340,974,404,725,0,0,0,0,0,735,0,658,0,0,0,822,0,2448,2904,2101,0,0,0,956,985,1082,795,0,754,0,0,189,1713,1013,741,755,0,1115,1608,2582,0,995,1015,2102,812,0,0,372,503,2677,0,756,0,454,641,833,0,0,0,0,423,563,3523,1775,0,552,665,0,0,0,429,545,3233,548,0,0,0,1165,2335,0,616,0,0,0,732,0,340,2645,1607,0,1406,152,1922,0,507,599,842,0,0,0,992,554,1399,2034,1815,702,746,0,2967,1980,1477,2307,446,659,3112,3666,677,0,0,0,0,0,998,614,2497,0,878,1331,1434,1157,1940,0,1075,789,0,478,662,0,0,0,0,0,738,0,688,0,0,0,2290,0,928,0,444,458,2641,0,639,821,0,1133,1974,1165,627,707,0,0,399,560,3053,353,2022,1971,818,347,632,3149,437,731,0,0,0,0,0,1010,722,2388,527,0,0,0,0,351,3076,1043,919,904,0,4020,0,676,0,0,0,2444,1277,1750,698,0,1034,614,2900,3032,350,2016,955,6052,0,648,806,0,1058,902,362,635,2921,2003,886,0,1220,2840,2867,1950,1345,1579,299,3304,696,761,0,938,792,794,0,819,0,2294,0,0,108,692,1821,858,0,754,0,0,884,858,0,0,863,1724,860,0,3329,719,0,992,278,1097,692,1651,680,0,2594,0,723,0,0,0,2933,1494,1355,455,1878,1345,2503,0,986,985,1247,2455,0,950,1631,764,0,459,542,3625,2193,1824,1548,2643,1100,1153,1298,3430,2717,1477,2109,1702,674,0,3006,122,1790,0,2541,1196,2061,2504,1367,410,1705,491,851,0,0,998,722,2322,449,671,3161,440,740,0,0,0,0,0,846,0,1091,848,311,2316,434,752,0,0,0,0,315,1731,1051,1205,2262,1899,2406,536,0,0,0,0,846,0,1163,1863,711,767,0,1061,896,356,620,3450,0,1075,816,0,856,0,1433,161,1551,910,0,1028,777,0,466,650,854,0,0,0,2400,989,1430,482,4966,0,919,1145,3114,0,0,0,2410,0,1037,536,1417,2295,440,3598,2172,1431,1208,2043,866,419,824,0,0,1007,812,224,1760,0,1142,1495,236,1642,464,767,0,0,0,0,510,707,0,0,0,765,0,976,0,516,578,809,0,0,0,0,426,569,4954,0,750,0,358,3113,512,0,0,0,2826,2840,1614,938,1265,2208,1257,2342,0,0,165,1973,0,883,1001,895,622,824,0,1199,2366,866,935,1154,746,215,1937,0,501,590,818,0,0,0,0,669,0,0,2835,1902,1033,1016,925,862,0,1088,1039,564,623,0,0,0,1364,167,2289,71,698,1677,1274,1801,755,0,807,0,1319,2088,2738,1730],"interval_residues":[4,26,178,352,0,846,0,744,0,0,183,26,261,698,217,742,0,0,0,213,779,0,0,0,176,104,276,371,68,224,288,614,111,404,725,0,0,0,0,0,735,0,658,0,0,0,822,0,722,315,375,0,0,0,93,122,219,795,0,754,0,0,189,850,150,741,755,0,252,745,856,0,132,152,376,812,0,0,372,503,88,0,756,0,454,641,833,0,0,0,0,423,563,71,49,0,552,665,0,0,0,429,545,644,548,0,0,0,302,609,0,616,0,0,0,732,0,340,56,744,0,543,152,196,0,507,599,842,0,0,0,129,554,536,308,89,702,746,0,378,254,614,581,446,659,523,214,677,0,0,0,0,0,135,614,771,0,15,468,571,294,214,0,212,789,0,478,662,0,0,0,0,0,738,0,688,0,0,0,564,0,65,0,444,458,52,0,639,821,0,270,248,302,627,707,0,0,399,560,464,353,296,245,818,347,632,560,437,731,0,0,0,0,0,147,722,662,527,0,0,0,0,351,487,180,56,41,0,568,0,676,0,0,0,718,414,24,698,0,171,614,311,443,350,290,92,11,0,648,806,0,195,39,362,635,332,277,23,0,357,251,278,224,482,716,299,715,696,761,0,75,792,794,0,819,0,568,0,0,108,692,95,858,0,754,0,0,21,858,0,0,0,861,860,0,740,719,0,129,278,234,692,788,680,0,5,0,723,0,0,0,344,631,492,455,152,482,777,0,123,122,384,729,0,87,768,764,0,459,542,173,467,98,685,54,237,290,435,841,128,614,383,839,674,0,417,122,64,0,815,333,335,778,504,410,842,491,851,0,0,135,722,596,449,671,572,440,740,0,0,0,0,0,846,0,228,848,311,590,434,752,0,0,0,0,315,5,188,342,536,173,680,536,0,0,0,0,846,0,300,137,711,767,0,198,33,356,620,861,0,212,816,0,856,0,570,161,688,47,0,165,777,0,466,650,854,0,0,0,674,126,567,482,651,0,56,282,525,0,0,0,684,0,174,536,554,569,440,146,446,568,345,317,3,419,824,0,0,144,812,224,34,0,279,632,236,779,464,767,0,0,0,0,510,707,0,0,0,765,0,113,0,516,578,809,0,0,0,0,426,569,639,0,750,0,358,524,512,0,0,0,237,251,751,75,402,482,394,616,0,0,165,247,0,20,138,32,622,824,0,336,640,3,72,291,746,215,211,0,501,590,818,0,0,0,0,669,0,0,246,176,170,153,62,862,0,225,176,564,623,0,0,0,501,167,563,71,698,814,411,75,755,0,807,0,456,362,149,4],"display_cycle":[4,26,178,352,863,846,863,744,863,863,183,26,261,698,217,742,863,863,863,213,779,863,863,863,176,104,276,371,68,224,288,614,111,404,725,863,863,863,863,863,735,863,658,863,863,863,822,863,722,315,375,863,863,863,93,122,219,795,863,754,863,863,189,850,150,741,755,863,252,745,856,863,132,152,376,812,863,863,372,503,88,863,756,863,454,641,833,863,863,863,863,423,563,71,49,863,552,665,863,863,863,429,545,644,548,863,863,863,302,609,863,616,863,863,863,732,863,340,56,744,863,543,152,196,863,507,599,842,863,863,863,129,554,536,308,89,702,746,863,378,254,614,581,446,659,523,214,677,863,863,863,863,863,135,614,771,863,15,468,571,294,214,863,212,789,863,478,662,863,863,863,863,863,738,863,688,863,863,863,564,863,65,863,444,458,52,863,639,821,863,270,248,302,627,707,863,863,399,560,464,353,296,245,818,347,632,560,437,731,863,863,863,863,863,147,722,662,527,863,863,863,863,351,487,180,56,41,863,568,863,676,863,863,863,718,414,24,698,863,171,614,311,443,350,290,92,11,863,648,806,863,195,39,362,635,332,277,23,863,357,251,278,224,482,716,299,715,696,761,863,75,792,794,863,819,863,568,863,863,108,692,95,858,863,754,863,863,21,858,863,863,863,861,860,863,740,719,863,129,278,234,692,788,680,863,5,863,723,863,863,863,344,631,492,455,152,482,777,863,123,122,384,729,863,87,768,764,863,459,542,173,467,98,685,54,237,290,435,841,128,614,383,839,674,863,417,122,64,863,815,333,335,778,504,410,842,491,851,863,863,135,722,596,449,671,572,440,740,863,863,863,863,863,846,863,228,848,311,590,434,752,863,863,863,863,315,5,188,342,536,173,680,536,863,863,863,863,846,863,300,137,711,767,863,198,33,356,620,861,863,212,816,863,856,863,570,161,688,47,863,165,777,863,466,650,854,863,863,863,674,126,567,482,651,863,56,282,525,863,863,863,684,863,174,536,554,569,440,146,446,568,345,317,3,419,824,863,863,144,812,224,34,863,279,632,236,779,464,767,863,863,863,863,510,707,863,863,863,765,863,113,863,516,578,809,863,863,863,863,426,569,639,863,750,863,358,524,512,863,863,863,237,251,751,75,402,482,394,616,863,863,165,247,863,20,138,32,622,824,863,336,640,3,72,291,746,215,211,863,501,590,818,863,863,863,863,669,863,863,246,176,170,153,62,862,863,225,176,564,623,863,863,863,501,167,563,71,698,814,411,75,755,863,807,863,456,362,149,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":18,"interior_indices":[13,14,15,16,17],"interior_values":[233,377,610,124,734],"sum":2078,"residue":352},{"from_index":18,"to_index":19,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":19,"to_index":25,"interior_indices":[20,21,22,23,24],"interior_values":[724,590,451,178,629],"sum":2572,"residue":846},{"from_index":25,"to_index":26,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":26,"to_index":29,"interior_indices":[27,28],"interior_values":[517,227],"sum":744,"residue":744},{"from_index":29,"to_index":30,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":30,"to_index":31,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":31,"to_index":34,"interior_indices":[32,33],"interior_values":[97,86],"sum":183,"residue":183},{"from_index":34,"to_index":39,"interior_indices":[35,36,37,38],"interior_values":[269,452,721,310],"sum":1752,"residue":26},{"from_index":39,"to_index":42,"interior_indices":[40,41],"interior_values":[478,646],"sum":1124,"residue":261},{"from_index":42,"to_index":46,"interior_indices":[43,44,45],"interior_values":[44,305,349],"sum":698,"residue":698},{"from_index":46,"to_index":52,"interior_indices":[47,48,49,50,51],"interior_values":[140,794,71,2,73],"sum":1080,"residue":217},{"from_index":52,"to_index":56,"interior_indices":[53,54,55],"interior_values":[148,223,371],"sum":742,"residue":742},{"from_index":56,"to_index":57,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":57,"to_index":58,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":58,"to_index":59,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":59,"to_index":65,"interior_indices":[60,61,62,63,64],"interior_values":[631,566,334,37,371],"sum":1939,"residue":213},{"from_index":65,"to_index":67,"interior_indices":[66],"interior_values":[779],"sum":779,"residue":779},{"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":70,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":70,"to_index":74,"interior_indices":[71,72,73],"interior_values":[505,446,88],"sum":1039,"residue":176},{"from_index":74,"to_index":78,"interior_indices":[75,76,77],"interior_values":[622,293,52],"sum":967,"residue":104},{"from_index":78,"to_index":81,"interior_indices":[79,80],"interior_values":[397,742],"sum":1139,"residue":276},{"from_index":81,"to_index":88,"interior_indices":[82,83,84,85,86,87],"interior_values":[155,431,586,154,740,31],"sum":2097,"residue":371},{"from_index":88,"to_index":93,"interior_indices":[89,90,91,92],"interior_values":[802,710,649,496],"sum":2657,"residue":68},{"from_index":93,"to_index":97,"interior_indices":[94,95,96],"interior_values":[778,197,112],"sum":1087,"residue":224},{"from_index":97,"to_index":100,"interior_indices":[98,99],"interior_values":[421,730],"sum":1151,"residue":288},{"from_index":100,"to_index":109,"interior_indices":[101,102,103,104,105,106,107,108],"interior_values":[155,443,598,178,776,91,4,95],"sum":2340,"residue":614},{"from_index":109,"to_index":113,"interior_indices":[110,111,112],"interior_values":[194,293,487],"sum":974,"residue":111},{"from_index":113,"to_index":115,"interior_indices":[114],"interior_values":[404],"sum":404,"residue":404},{"from_index":115,"to_index":117,"interior_indices":[116],"interior_values":[725],"sum":725,"residue":725},{"from_index":117,"to_index":118,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":118,"to_index":119,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":119,"to_index":120,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":120,"to_index":121,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":121,"to_index":122,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":122,"to_index":125,"interior_indices":[123,124],"interior_values":[412,323],"sum":735,"residue":735},{"from_index":125,"to_index":126,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":126,"to_index":130,"interior_indices":[127,128,129],"interior_values":[67,262,329],"sum":658,"residue":658},{"from_index":130,"to_index":131,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":131,"to_index":132,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":132,"to_index":133,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":133,"to_index":136,"interior_indices":[134,135],"interior_values":[490,332],"sum":822,"residue":822},{"from_index":136,"to_index":137,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":137,"to_index":143,"interior_indices":[138,139,140,141,142],"interior_values":[250,541,791,469,397],"sum":2448,"residue":722},{"from_index":143,"to_index":151,"interior_indices":[144,145,146,147,148,149,150],"interior_values":[400,403,803,343,283,626,46],"sum":2904,"residue":315},{"from_index":151,"to_index":157,"interior_indices":[152,153,154,155,156],"interior_values":[718,527,382,46,428],"sum":2101,"residue":375},{"from_index":157,"to_index":158,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":158,"to_index":159,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":159,"to_index":160,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":160,"to_index":163,"interior_indices":[161,162],"interior_values":[202,754],"sum":956,"residue":93},{"from_index":163,"to_index":167,"interior_indices":[164,165,166],"interior_values":[847,77,61],"sum":985,"residue":122},{"from_index":167,"to_index":172,"interior_indices":[168,169,170,171],"interior_values":[199,337,536,10],"sum":1082,"residue":219},{"from_index":172,"to_index":175,"interior_indices":[173,174],"interior_values":[556,239],"sum":795,"residue":795},{"from_index":175,"to_index":176,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":176,"to_index":180,"interior_indices":[177,178,179],"interior_values":[103,274,377],"sum":754,"residue":754},{"from_index":180,"to_index":181,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":181,"to_index":182,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":182,"to_index":185,"interior_indices":[183,184],"interior_values":[118,71],"sum":189,"residue":189},{"from_index":185,"to_index":190,"interior_indices":[186,187,188,189],"interior_values":[260,449,709,295],"sum":1713,"residue":850},{"from_index":190,"to_index":193,"interior_indices":[191,192],"interior_values":[436,577],"sum":1013,"residue":150},{"from_index":193,"to_index":196,"interior_indices":[194,195],"interior_values":[727,14],"sum":741,"residue":741},{"from_index":196,"to_index":198,"interior_indices":[197],"interior_values":[755],"sum":755,"residue":755},{"from_index":198,"to_index":199,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":199,"to_index":202,"interior_indices":[200,201],"interior_values":[295,820],"sum":1115,"residue":252},{"from_index":202,"to_index":207,"interior_indices":[203,204,205,206],"interior_values":[209,461,670,268],"sum":1608,"residue":745},{"from_index":207,"to_index":214,"interior_indices":[208,209,210,211,212,213],"interior_values":[343,418,761,316,214,530],"sum":2582,"residue":856},{"from_index":214,"to_index":215,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":215,"to_index":218,"interior_indices":[216,217],"interior_values":[292,703],"sum":995,"residue":132},{"from_index":218,"to_index":222,"interior_indices":[219,220,221],"interior_values":[835,104,76],"sum":1015,"residue":152},{"from_index":222,"to_index":229,"interior_indices":[223,224,225,226,227,228],"interior_values":[256,436,692,265,94,359],"sum":2102,"residue":376},{"from_index":229,"to_index":231,"interior_indices":[230],"interior_values":[812],"sum":812,"residue":812},{"from_index":231,"to_index":232,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":232,"to_index":233,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":233,"to_index":236,"interior_indices":[234,235],"interior_values":[241,131],"sum":372,"residue":372},{"from_index":236,"to_index":238,"interior_indices":[237],"interior_values":[503],"sum":503,"residue":503},{"from_index":238,"to_index":245,"interior_indices":[239,240,241,242,243,244],"interior_values":[515,527,179,706,22,728],"sum":2677,"residue":88},{"from_index":245,"to_index":246,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":246,"to_index":249,"interior_indices":[247,248],"interior_values":[502,254],"sum":756,"residue":756},{"from_index":249,"to_index":250,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":250,"to_index":254,"interior_indices":[251,252,253],"interior_values":[40,187,227],"sum":454,"residue":454},{"from_index":254,"to_index":256,"interior_indices":[255],"interior_values":[641],"sum":641,"residue":641},{"from_index":256,"to_index":258,"interior_indices":[257],"interior_values":[833],"sum":833,"residue":833},{"from_index":258,"to_index":259,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":259,"to_index":260,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":260,"to_index":261,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":261,"to_index":262,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":262,"to_index":265,"interior_indices":[263,264],"interior_values":[283,140],"sum":423,"residue":423},{"from_index":265,"to_index":267,"interior_indices":[266],"interior_values":[563],"sum":563,"residue":563},{"from_index":267,"to_index":275,"interior_indices":[268,269,270,271,272,273,274],"interior_values":[686,809,632,578,347,62,409],"sum":3523,"residue":71},{"from_index":275,"to_index":281,"interior_indices":[276,277,278,279,280],"interior_values":[17,488,505,130,635],"sum":1775,"residue":49},{"from_index":281,"to_index":282,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":282,"to_index":285,"interior_indices":[283,284],"interior_values":[439,113],"sum":552,"residue":552},{"from_index":285,"to_index":287,"interior_indices":[286],"interior_values":[665],"sum":665,"residue":665},{"from_index":287,"to_index":288,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":288,"to_index":289,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":289,"to_index":290,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":290,"to_index":293,"interior_indices":[291,292],"interior_values":[313,116],"sum":429,"residue":429},{"from_index":293,"to_index":295,"interior_indices":[294],"interior_values":[545],"sum":545,"residue":545},{"from_index":295,"to_index":302,"interior_indices":[296,297,298,299,300,301],"interior_values":[656,767,560,464,161,625],"sum":3233,"residue":644},{"from_index":302,"to_index":304,"interior_indices":[303],"interior_values":[548],"sum":548,"residue":548},{"from_index":304,"to_index":305,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":305,"to_index":306,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":306,"to_index":307,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":307,"to_index":311,"interior_indices":[308,309,310],"interior_values":[547,467,151],"sum":1165,"residue":302},{"from_index":311,"to_index":317,"interior_indices":[312,313,314,315,316],"interior_values":[769,524,430,91,521],"sum":2335,"residue":609},{"from_index":317,"to_index":318,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":318,"to_index":322,"interior_indices":[319,320,321],"interior_values":[19,289,308],"sum":616,"residue":616},{"from_index":322,"to_index":323,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":323,"to_index":324,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":324,"to_index":325,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":325,"to_index":328,"interior_indices":[326,327],"interior_values":[457,275],"sum":732,"residue":732},{"from_index":328,"to_index":329,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":329,"to_index":333,"interior_indices":[330,331,332],"interior_values":[13,157,170],"sum":340,"residue":340},{"from_index":333,"to_index":340,"interior_indices":[334,335,336,337,338,339],"interior_values":[497,824,458,419,14,433],"sum":2645,"residue":56},{"from_index":340,"to_index":346,"interior_indices":[341,342,343,344,345],"interior_values":[17,464,481,82,563],"sum":1607,"residue":744},{"from_index":346,"to_index":347,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":347,"to_index":352,"interior_indices":[348,349,350,351],"interior_values":[127,472,599,208],"sum":1406,"residue":543},{"from_index":352,"to_index":354,"interior_indices":[353],"interior_values":[152],"sum":152,"residue":152},{"from_index":354,"to_index":360,"interior_indices":[355,356,357,358,359],"interior_values":[248,344,592,73,665],"sum":1922,"residue":196},{"from_index":360,"to_index":361,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":361,"to_index":364,"interior_indices":[362,363],"interior_values":[415,92],"sum":507,"residue":507},{"from_index":364,"to_index":366,"interior_indices":[365],"interior_values":[599],"sum":599,"residue":599},{"from_index":366,"to_index":368,"interior_indices":[367],"interior_values":[842],"sum":842,"residue":842},{"from_index":368,"to_index":369,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":369,"to_index":370,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":370,"to_index":371,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":371,"to_index":374,"interior_indices":[372,373],"interior_values":[184,808],"sum":992,"residue":129},{"from_index":374,"to_index":378,"interior_indices":[375,376,377],"interior_values":[74,203,277],"sum":554,"residue":554},{"from_index":378,"to_index":382,"interior_indices":[379,380,381],"interior_values":[757,374,268],"sum":1399,"residue":536},{"from_index":382,"to_index":387,"interior_indices":[383,384,385,386],"interior_values":[47,689,736,562],"sum":2034,"residue":308},{"from_index":387,"to_index":392,"interior_indices":[388,389,390,391],"interior_values":[134,569,703,409],"sum":1815,"residue":89},{"from_index":392,"to_index":395,"interior_indices":[393,394],"interior_values":[658,44],"sum":702,"residue":702},{"from_index":395,"to_index":397,"interior_indices":[396],"interior_values":[746],"sum":746,"residue":746},{"from_index":397,"to_index":398,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":398,"to_index":404,"interior_indices":[399,400,401,402,403],"interior_values":[190,658,848,643,628],"sum":2967,"residue":378},{"from_index":404,"to_index":409,"interior_indices":[405,406,407,408],"interior_values":[173,581,754,472],"sum":1980,"residue":254},{"from_index":409,"to_index":413,"interior_indices":[410,411,412],"interior_values":[835,335,307],"sum":1477,"residue":614},{"from_index":413,"to_index":418,"interior_indices":[414,415,416,417],"interior_values":[86,728,814,679],"sum":2307,"residue":581},{"from_index":418,"to_index":420,"interior_indices":[419],"interior_values":[446],"sum":446,"residue":446},{"from_index":420,"to_index":422,"interior_indices":[421],"interior_values":[659],"sum":659,"residue":659},{"from_index":422,"to_index":429,"interior_indices":[423,424,425,426,427,428],"interior_values":[668,677,482,296,778,211],"sum":3112,"residue":523},{"from_index":429,"to_index":439,"interior_indices":[430,431,432,433,434,435,436,437,438],"interior_values":[337,463,800,400,337,737,211,85,296],"sum":3666,"residue":214},{"from_index":439,"to_index":441,"interior_indices":[440],"interior_values":[677],"sum":677,"residue":677},{"from_index":441,"to_index":442,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":442,"to_index":443,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":443,"to_index":444,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":444,"to_index":445,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":445,"to_index":446,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":446,"to_index":449,"interior_indices":[447,448],"interior_values":[184,814],"sum":998,"residue":135},{"from_index":449,"to_index":453,"interior_indices":[450,451,452],"interior_values":[86,221,307],"sum":614,"residue":614},{"from_index":453,"to_index":459,"interior_indices":[454,455,456,457,458],"interior_values":[835,500,472,109,581],"sum":2497,"residue":771},{"from_index":459,"to_index":460,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":460,"to_index":463,"interior_indices":[461,462],"interior_values":[235,643],"sum":878,"residue":15},{"from_index":463,"to_index":466,"interior_indices":[464,465],"interior_values":[658,673],"sum":1331,"residue":468},{"from_index":466,"to_index":472,"interior_indices":[467,468,469,470,471],"interior_values":[278,746,161,44,205],"sum":1434,"residue":571},{"from_index":472,"to_index":475,"interior_indices":[473,474],"interior_values":[454,703],"sum":1157,"residue":294},{"from_index":475,"to_index":481,"interior_indices":[476,477,478,479,480],"interior_values":[134,428,562,127,689],"sum":1940,"residue":214},{"from_index":481,"to_index":482,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":482,"to_index":486,"interior_indices":[483,484,485],"interior_values":[595,374,106],"sum":1075,"residue":212},{"from_index":486,"to_index":489,"interior_indices":[487,488],"interior_values":[586,203],"sum":789,"residue":789},{"from_index":489,"to_index":490,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":490,"to_index":494,"interior_indices":[491,492,493],"interior_values":[55,184,239],"sum":478,"residue":478},{"from_index":494,"to_index":496,"interior_indices":[495],"interior_values":[662],"sum":662,"residue":662},{"from_index":496,"to_index":497,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":497,"to_index":498,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":498,"to_index":499,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":499,"to_index":500,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":500,"to_index":501,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":501,"to_index":504,"interior_indices":[502,503],"interior_values":[415,323],"sum":738,"residue":738},{"from_index":504,"to_index":505,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":505,"to_index":509,"interior_indices":[506,507,508],"interior_values":[73,271,344],"sum":688,"residue":688},{"from_index":509,"to_index":510,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":510,"to_index":511,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":511,"to_index":512,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":512,"to_index":518,"interior_indices":[513,514,515,516,517],"interior_values":[655,599,391,127,518],"sum":2290,"residue":564},{"from_index":518,"to_index":519,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":519,"to_index":523,"interior_indices":[520,521,522],"interior_values":[82,382,464],"sum":928,"residue":65},{"from_index":523,"to_index":524,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":524,"to_index":527,"interior_indices":[525,526],"interior_values":[430,14],"sum":444,"residue":444},{"from_index":527,"to_index":529,"interior_indices":[528],"interior_values":[458],"sum":458,"residue":458},{"from_index":529,"to_index":536,"interior_indices":[530,531,532,533,534,535],"interior_values":[497,536,170,706,13,719],"sum":2641,"residue":52},{"from_index":536,"to_index":537,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":537,"to_index":540,"interior_indices":[538,539],"interior_values":[457,182],"sum":639,"residue":639},{"from_index":540,"to_index":542,"interior_indices":[541],"interior_values":[821],"sum":821,"residue":821},{"from_index":542,"to_index":543,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":543,"to_index":546,"interior_indices":[544,545],"interior_values":[289,844],"sum":1133,"residue":270},{"from_index":546,"to_index":551,"interior_indices":[547,548,549,550],"interior_values":[251,521,772,430],"sum":1974,"residue":248},{"from_index":551,"to_index":555,"interior_indices":[552,553,554],"interior_values":[769,245,151],"sum":1165,"residue":302},{"from_index":555,"to_index":558,"interior_indices":[556,557],"interior_values":[547,80],"sum":627,"residue":627},{"from_index":558,"to_index":560,"interior_indices":[559],"interior_values":[707],"sum":707,"residue":707},{"from_index":560,"to_index":561,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":561,"to_index":562,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":562,"to_index":565,"interior_indices":[563,564],"interior_values":[238,161],"sum":399,"residue":399},{"from_index":565,"to_index":567,"interior_indices":[566],"interior_values":[560],"sum":560,"residue":560},{"from_index":567,"to_index":574,"interior_indices":[568,569,570,571,572,573],"interior_values":[656,752,545,434,116,550],"sum":3053,"residue":464},{"from_index":574,"to_index":576,"interior_indices":[575],"interior_values":[353],"sum":353,"residue":353},{"from_index":576,"to_index":582,"interior_indices":[577,578,579,580,581],"interior_values":[509,665,311,113,424],"sum":2022,"residue":296},{"from_index":582,"to_index":587,"interior_indices":[583,584,585,586],"interior_values":[98,635,733,505],"sum":1971,"residue":245},{"from_index":587,"to_index":591,"interior_indices":[588,589,590],"interior_values":[17,392,409],"sum":818,"residue":818},{"from_index":591,"to_index":593,"interior_indices":[592],"interior_values":[347],"sum":347,"residue":347},{"from_index":593,"to_index":595,"interior_indices":[594],"interior_values":[632],"sum":632,"residue":632},{"from_index":595,"to_index":602,"interior_indices":[596,597,598,599,600,601],"interior_values":[686,740,563,440,140,580],"sum":3149,"residue":560},{"from_index":602,"to_index":604,"interior_indices":[603],"interior_values":[437],"sum":437,"residue":437},{"from_index":604,"to_index":606,"interior_indices":[605],"interior_values":[731],"sum":731,"residue":731},{"from_index":606,"to_index":607,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":607,"to_index":608,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":608,"to_index":609,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":609,"to_index":610,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":610,"to_index":611,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":611,"to_index":614,"interior_indices":[612,613],"interior_values":[187,823],"sum":1010,"residue":147},{"from_index":614,"to_index":618,"interior_indices":[615,616,617],"interior_values":[107,254,361],"sum":722,"residue":722},{"from_index":618,"to_index":623,"interior_indices":[619,620,621,622],"interior_values":[113,728,841,706],"sum":2388,"residue":662},{"from_index":623,"to_index":625,"interior_indices":[624],"interior_values":[527],"sum":527,"residue":527},{"from_index":625,"to_index":626,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":626,"to_index":627,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":627,"to_index":628,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":628,"to_index":629,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":629,"to_index":632,"interior_indices":[630,631],"interior_values":[241,110],"sum":351,"residue":351},{"from_index":632,"to_index":639,"interior_indices":[633,634,635,636,637,638],"interior_values":[461,812,410,359,769,265],"sum":3076,"residue":487},{"from_index":639,"to_index":642,"interior_indices":[640,641],"interior_values":[436,607],"sum":1043,"residue":180},{"from_index":642,"to_index":646,"interior_indices":[643,644,645],"interior_values":[787,104,28],"sum":919,"residue":56},{"from_index":646,"to_index":650,"interior_indices":[647,648,649],"interior_values":[160,292,452],"sum":904,"residue":41},{"from_index":650,"to_index":651,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":651,"to_index":661,"interior_indices":[652,653,654,655,656,657,658,659,660],"interior_values":[214,547,761,445,343,788,268,193,461],"sum":4020,"residue":568},{"from_index":661,"to_index":662,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":662,"to_index":666,"interior_indices":[663,664,665],"interior_values":[43,295,338],"sum":676,"residue":676},{"from_index":666,"to_index":667,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":667,"to_index":668,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":668,"to_index":669,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":669,"to_index":674,"interior_indices":[670,671,672,673],"interior_values":[727,713,577,427],"sum":2444,"residue":718},{"from_index":674,"to_index":677,"interior_indices":[675,676],"interior_values":[568,709],"sum":1277,"residue":414},{"from_index":677,"to_index":682,"interior_indices":[678,679,680,681],"interior_values":[260,674,71,745],"sum":1750,"residue":24},{"from_index":682,"to_index":684,"interior_indices":[683],"interior_values":[698],"sum":698,"residue":698},{"from_index":684,"to_index":685,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":685,"to_index":688,"interior_indices":[686,687],"interior_values":[274,760],"sum":1034,"residue":171},{"from_index":688,"to_index":692,"interior_indices":[689,690,691],"interior_values":[68,239,307],"sum":614,"residue":614},{"from_index":692,"to_index":699,"interior_indices":[693,694,695,696,697,698],"interior_values":[853,536,526,199,725,61],"sum":2900,"residue":311},{"from_index":699,"to_index":704,"interior_indices":[700,701,702,703],"interior_values":[847,770,754,661],"sum":3032,"residue":443},{"from_index":704,"to_index":706,"interior_indices":[705],"interior_values":[350],"sum":350,"residue":350},{"from_index":706,"to_index":711,"interior_indices":[707,708,709,710],"interior_values":[389,428,817,382],"sum":2016,"residue":290},{"from_index":711,"to_index":715,"interior_indices":[712,713,714],"interior_values":[718,191,46],"sum":955,"residue":92},{"from_index":715,"to_index":728,"interior_indices":[716,717,718,719,720,721,722,723,724,725,726,727],"interior_values":[283,520,803,460,400,860,397,394,791,322,250,572],"sum":6052,"residue":11},{"from_index":728,"to_index":729,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":729,"to_index":732,"interior_indices":[730,731],"interior_values":[490,158],"sum":648,"residue":648},{"from_index":732,"to_index":734,"interior_indices":[733],"interior_values":[806],"sum":806,"residue":806},{"from_index":734,"to_index":735,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":735,"to_index":738,"interior_indices":[736,737],"interior_values":[262,796],"sum":1058,"residue":195},{"from_index":738,"to_index":742,"interior_indices":[739,740,741],"interior_values":[128,323,451],"sum":902,"residue":39},{"from_index":742,"to_index":744,"interior_indices":[743],"interior_values":[362],"sum":362,"residue":362},{"from_index":744,"to_index":746,"interior_indices":[745],"interior_values":[635],"sum":635,"residue":635},{"from_index":746,"to_index":753,"interior_indices":[747,748,749,750,751,752],"interior_values":[680,725,542,404,83,487],"sum":2921,"residue":332},{"from_index":753,"to_index":759,"interior_indices":[754,755,756,757,758],"interior_values":[194,764,95,859,91],"sum":2003,"residue":277},{"from_index":759,"to_index":763,"interior_indices":[760,761,762],"interior_values":[178,265,443],"sum":886,"residue":23},{"from_index":763,"to_index":764,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":764,"to_index":769,"interior_indices":[765,766,767,768],"interior_values":[133,421,554,112],"sum":1220,"residue":357},{"from_index":769,"to_index":776,"interior_indices":[770,771,772,773,774,775],"interior_values":[778,581,496,214,710,61],"sum":2840,"residue":251},{"from_index":776,"to_index":781,"interior_indices":[777,778,779,780],"interior_values":[832,740,709,586],"sum":2867,"residue":278},{"from_index":781,"to_index":786,"interior_indices":[782,783,784,785],"interior_values":[155,587,742,466],"sum":1950,"residue":224},{"from_index":786,"to_index":790,"interior_indices":[787,788,789],"interior_values":[811,293,241],"sum":1345,"residue":482},{"from_index":790,"to_index":794,"interior_indices":[791,792,793],"interior_values":[775,446,358],"sum":1579,"residue":716},{"from_index":794,"to_index":796,"interior_indices":[795],"interior_values":[299],"sum":299,"residue":299},{"from_index":796,"to_index":803,"interior_indices":[797,798,799,800,801,802],"interior_values":[539,779,455,371,826,334],"sum":3304,"residue":715},{"from_index":803,"to_index":806,"interior_indices":[804,805],"interior_values":[631,65],"sum":696,"residue":696},{"from_index":806,"to_index":808,"interior_indices":[807],"interior_values":[761],"sum":761,"residue":761},{"from_index":808,"to_index":809,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":809,"to_index":812,"interior_indices":[810,811],"interior_values":[223,715],"sum":938,"residue":75},{"from_index":812,"to_index":815,"interior_indices":[813,814],"interior_values":[790,2],"sum":792,"residue":792},{"from_index":815,"to_index":817,"interior_indices":[816],"interior_values":[794],"sum":794,"residue":794},{"from_index":817,"to_index":818,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":818,"to_index":821,"interior_indices":[819,820],"interior_values":[514,305],"sum":819,"residue":819},{"from_index":821,"to_index":822,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":822,"to_index":829,"interior_indices":[823,824,825,826,827,828],"interior_values":[217,478,695,310,142,452],"sum":2294,"residue":568},{"from_index":829,"to_index":830,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":830,"to_index":831,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":831,"to_index":834,"interior_indices":[832,833],"interior_values":[97,11],"sum":108,"residue":108},{"from_index":834,"to_index":838,"interior_indices":[835,836,837],"interior_values":[119,227,346],"sum":692,"residue":692},{"from_index":838,"to_index":843,"interior_indices":[839,840,841,842],"interior_values":[56,629,685,451],"sum":1821,"residue":95},{"from_index":843,"to_index":846,"interior_indices":[844,845],"interior_values":[724,134],"sum":858,"residue":858},{"from_index":846,"to_index":847,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":847,"to_index":851,"interior_indices":[848,849,850],"interior_values":[124,253,377],"sum":754,"residue":754},{"from_index":851,"to_index":852,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":852,"to_index":853,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":853,"to_index":856,"interior_indices":[854,855],"interior_values":[55,829],"sum":884,"residue":21},{"from_index":856,"to_index":859,"interior_indices":[857,858],"interior_values":[850,8],"sum":858,"residue":858},{"from_index":859,"to_index":860,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":860,"to_index":861,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":861,"to_index":864,"interior_indices":[862,863],"interior_values":[1,862],"sum":863,"residue":0},{"from_index":864,"to_index":867,"interior_indices":[865,866],"interior_values":[862,862],"sum":1724,"residue":861},{"from_index":867,"to_index":869,"interior_indices":[868],"interior_values":[860],"sum":860,"residue":860},{"from_index":869,"to_index":870,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":870,"to_index":875,"interior_indices":[871,872,873,874],"interior_values":[850,842,829,808],"sum":3329,"residue":740},{"from_index":875,"to_index":877,"interior_indices":[876],"interior_values":[719],"sum":719,"residue":719},{"from_index":877,"to_index":878,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":878,"to_index":881,"interior_indices":[879,880],"interior_values":[253,739],"sum":992,"residue":129},{"from_index":881,"to_index":885,"interior_indices":[882,883,884],"interior_values":[5,134,139],"sum":278,"residue":278},{"from_index":885,"to_index":888,"interior_indices":[886,887],"interior_values":[412,685],"sum":1097,"residue":234},{"from_index":888,"to_index":892,"interior_indices":[889,890,891],"interior_values":[56,290,346],"sum":692,"residue":692},{"from_index":892,"to_index":897,"interior_indices":[893,894,895,896],"interior_values":[119,755,11,766],"sum":1651,"residue":788},{"from_index":897,"to_index":899,"interior_indices":[898],"interior_values":[680],"sum":680,"residue":680},{"from_index":899,"to_index":900,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":900,"to_index":907,"interior_indices":[901,902,903,904,905,906],"interior_values":[142,553,695,385,217,602],"sum":2594,"residue":5},{"from_index":907,"to_index":908,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":908,"to_index":911,"interior_indices":[909,910],"interior_values":[514,209],"sum":723,"residue":723},{"from_index":911,"to_index":912,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":912,"to_index":913,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":913,"to_index":914,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":914,"to_index":919,"interior_indices":[915,916,917,918],"interior_values":[790,788,715,640],"sum":2933,"residue":344},{"from_index":919,"to_index":925,"interior_indices":[920,921,922,923,924],"interior_values":[269,761,167,65,232],"sum":1494,"residue":631},{"from_index":925,"to_index":928,"interior_indices":[926,927],"interior_values":[529,826],"sum":1355,"residue":492},{"from_index":928,"to_index":930,"interior_indices":[929],"interior_values":[455],"sum":455,"residue":455},{"from_index":930,"to_index":936,"interior_indices":[931,932,933,934,935],"interior_values":[539,623,299,59,358],"sum":1878,"residue":152},{"from_index":936,"to_index":940,"interior_indices":[937,938,939],"interior_values":[775,329,241],"sum":1345,"residue":482},{"from_index":940,"to_index":946,"interior_indices":[941,942,943,944,945],"interior_values":[811,518,466,121,587],"sum":2503,"residue":777},{"from_index":946,"to_index":947,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":947,"to_index":950,"interior_indices":[948,949],"interior_values":[277,709],"sum":986,"residue":123},{"from_index":950,"to_index":954,"interior_indices":[951,952,953],"interior_values":[832,92,61],"sum":985,"residue":122},{"from_index":954,"to_index":959,"interior_indices":[955,956,957,958],"interior_values":[214,367,581,85],"sum":1247,"residue":384},{"from_index":959,"to_index":965,"interior_indices":[960,961,962,963,964],"interior_values":[751,554,442,133,575],"sum":2455,"residue":729},{"from_index":965,"to_index":966,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":966,"to_index":969,"interior_indices":[967,968],"interior_values":[265,685],"sum":950,"residue":87},{"from_index":969,"to_index":972,"interior_indices":[970,971],"interior_values":[772,859],"sum":1631,"residue":768},{"from_index":972,"to_index":974,"interior_indices":[973],"interior_values":[764],"sum":764,"residue":764},{"from_index":974,"to_index":975,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":975,"to_index":978,"interior_indices":[976,977],"interior_values":[376,83],"sum":459,"residue":459},{"from_index":978,"to_index":980,"interior_indices":[979],"interior_values":[542],"sum":542,"residue":542},{"from_index":980,"to_index":988,"interior_indices":[981,982,983,984,985,986,987],"interior_values":[680,818,635,590,362,89,451],"sum":3625,"residue":173},{"from_index":988,"to_index":993,"interior_indices":[989,990,991,992],"interior_values":[128,668,796,601],"sum":2193,"residue":467},{"from_index":993,"to_index":999,"interior_indices":[994,995,996,997,998],"interior_values":[272,806,215,158,373],"sum":1824,"residue":98},{"from_index":999,"to_index":1004,"interior_indices":[1000,1001,1002,1003],"interior_values":[41,572,613,322],"sum":1548,"residue":685},{"from_index":1004,"to_index":1010,"interior_indices":[1005,1006,1007,1008,1009],"interior_values":[394,466,860,463,460],"sum":2643,"residue":54},{"from_index":1010,"to_index":1013,"interior_indices":[1011,1012],"interior_values":[520,580],"sum":1100,"residue":237},{"from_index":1013,"to_index":1017,"interior_indices":[1014,1015,1016],"interior_values":[817,191,145],"sum":1153,"residue":290},{"from_index":1017,"to_index":1020,"interior_indices":[1018,1019],"interior_values":[481,817],"sum":1298,"residue":435},{"from_index":1020,"to_index":1029,"interior_indices":[1021,1022,1023,1024,1025,1026,1027,1028],"interior_values":[389,824,350,311,661,109,770,16],"sum":3430,"residue":841},{"from_index":1029,"to_index":1034,"interior_indices":[1030,1031,1032,1033],"interior_values":[802,725,664,526],"sum":2717,"residue":128},{"from_index":1034,"to_index":1038,"interior_indices":[1035,1036,1037],"interior_values":[853,317,307],"sum":1477,"residue":614},{"from_index":1038,"to_index":1043,"interior_indices":[1039,1040,1041,1042],"interior_values":[68,692,760,589],"sum":2109,"residue":383},{"from_index":1043,"to_index":1048,"interior_indices":[1044,1045,1046,1047],"interior_values":[212,698,47,745],"sum":1702,"residue":839},{"from_index":1048,"to_index":1050,"interior_indices":[1049],"interior_values":[674],"sum":674,"residue":674},{"from_index":1050,"to_index":1051,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1051,"to_index":1059,"interior_indices":[1052,1053,1054,1055,1056,1057,1058],"interior_values":[154,568,722,427,286,713,136],"sum":3006,"residue":417},{"from_index":1059,"to_index":1061,"interior_indices":[1060],"interior_values":[122],"sum":122,"residue":122},{"from_index":1061,"to_index":1067,"interior_indices":[1062,1063,1064,1065,1066],"interior_values":[230,338,568,43,611],"sum":1790,"residue":64},{"from_index":1067,"to_index":1068,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1068,"to_index":1074,"interior_indices":[1069,1070,1071,1072,1073],"interior_values":[193,595,788,520,445],"sum":2541,"residue":815},{"from_index":1074,"to_index":1077,"interior_indices":[1075,1076],"interior_values":[547,649],"sum":1196,"residue":333},{"from_index":1077,"to_index":1084,"interior_indices":[1078,1079,1080,1081,1082,1083],"interior_values":[119,452,571,160,731,28],"sum":2061,"residue":335},{"from_index":1084,"to_index":1089,"interior_indices":[1085,1086,1087,1088],"interior_values":[787,683,607,427],"sum":2504,"residue":778},{"from_index":1089,"to_index":1092,"interior_indices":[1090,1091],"interior_values":[598,769],"sum":1367,"residue":504},{"from_index":1092,"to_index":1094,"interior_indices":[1093],"interior_values":[410],"sum":410,"residue":410},{"from_index":1094,"to_index":1099,"interior_indices":[1095,1096,1097,1098],"interior_values":[461,512,110,622],"sum":1705,"residue":842},{"from_index":1099,"to_index":1101,"interior_indices":[1100],"interior_values":[491],"sum":491,"residue":491},{"from_index":1101,"to_index":1103,"interior_indices":[1102],"interior_values":[851],"sum":851,"residue":851},{"from_index":1103,"to_index":1104,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1104,"to_index":1105,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1105,"to_index":1108,"interior_indices":[1106,1107],"interior_values":[157,841],"sum":998,"residue":135},{"from_index":1108,"to_index":1112,"interior_indices":[1109,1110,1111],"interior_values":[113,248,361],"sum":722,"residue":722},{"from_index":1112,"to_index":1117,"interior_indices":[1113,1114,1115,1116],"interior_values":[107,716,823,676],"sum":2322,"residue":596},{"from_index":1117,"to_index":1119,"interior_indices":[1118],"interior_values":[449],"sum":449,"residue":449},{"from_index":1119,"to_index":1121,"interior_indices":[1120],"interior_values":[671],"sum":671,"residue":671},{"from_index":1121,"to_index":1128,"interior_indices":[1122,1123,1124,1125,1126,1127],"interior_values":[701,731,569,437,143,580],"sum":3161,"residue":572},{"from_index":1128,"to_index":1130,"interior_indices":[1129],"interior_values":[440],"sum":440,"residue":440},{"from_index":1130,"to_index":1132,"interior_indices":[1131],"interior_values":[740],"sum":740,"residue":740},{"from_index":1132,"to_index":1133,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1133,"to_index":1134,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1134,"to_index":1135,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1135,"to_index":1136,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1136,"to_index":1137,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1137,"to_index":1140,"interior_indices":[1138,1139],"interior_values":[454,392],"sum":846,"residue":846},{"from_index":1140,"to_index":1141,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1141,"to_index":1144,"interior_indices":[1142,1143],"interior_values":[358,733],"sum":1091,"residue":228},{"from_index":1144,"to_index":1148,"interior_indices":[1145,1146,1147],"interior_values":[98,326,424],"sum":848,"residue":848},{"from_index":1148,"to_index":1150,"interior_indices":[1149],"interior_values":[311],"sum":311,"residue":311},{"from_index":1150,"to_index":1156,"interior_indices":[1151,1152,1153,1154,1155],"interior_values":[509,707,353,197,550],"sum":2316,"residue":590},{"from_index":1156,"to_index":1158,"interior_indices":[1157],"interior_values":[434],"sum":434,"residue":434},{"from_index":1158,"to_index":1160,"interior_indices":[1159],"interior_values":[752],"sum":752,"residue":752},{"from_index":1160,"to_index":1161,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1161,"to_index":1162,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1162,"to_index":1163,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1163,"to_index":1164,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1164,"to_index":1167,"interior_indices":[1165,1166],"interior_values":[238,77],"sum":315,"residue":315},{"from_index":1167,"to_index":1173,"interior_indices":[1168,1169,1170,1171,1172],"interior_values":[392,707,236,80,316],"sum":1731,"residue":5},{"from_index":1173,"to_index":1177,"interior_indices":[1174,1175,1176],"interior_values":[712,245,94],"sum":1051,"residue":188},{"from_index":1177,"to_index":1180,"interior_indices":[1178,1179],"interior_values":[433,772],"sum":1205,"residue":342},{"from_index":1180,"to_index":1185,"interior_indices":[1181,1182,1183,1184],"interior_values":[251,593,844,574],"sum":2262,"residue":536},{"from_index":1185,"to_index":1191,"interior_indices":[1186,1187,1188,1189,1190],"interior_values":[266,821,224,182,406],"sum":1899,"residue":173},{"from_index":1191,"to_index":1196,"interior_indices":[1192,1193,1194,1195],"interior_values":[131,719,850,706],"sum":2406,"residue":680},{"from_index":1196,"to_index":1198,"interior_indices":[1197],"interior_values":[536],"sum":536,"residue":536},{"from_index":1198,"to_index":1199,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1199,"to_index":1200,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1200,"to_index":1201,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1201,"to_index":1202,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1202,"to_index":1205,"interior_indices":[1203,1204],"interior_values":[430,416],"sum":846,"residue":846},{"from_index":1205,"to_index":1206,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1206,"to_index":1209,"interior_indices":[1207,1208],"interior_values":[382,781],"sum":1163,"residue":300},{"from_index":1209,"to_index":1214,"interior_indices":[1210,1211,1212,1213],"interior_values":[218,518,736,391],"sum":1863,"residue":137},{"from_index":1214,"to_index":1217,"interior_indices":[1215,1216],"interior_values":[655,56],"sum":711,"residue":711},{"from_index":1217,"to_index":1219,"interior_indices":[1218],"interior_values":[767],"sum":767,"residue":767},{"from_index":1219,"to_index":1220,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1220,"to_index":1223,"interior_indices":[1221,1222],"interior_values":[271,790],"sum":1061,"residue":198},{"from_index":1223,"to_index":1227,"interior_indices":[1224,1225,1226],"interior_values":[125,323,448],"sum":896,"residue":33},{"from_index":1227,"to_index":1229,"interior_indices":[1228],"interior_values":[356],"sum":356,"residue":356},{"from_index":1229,"to_index":1231,"interior_indices":[1230],"interior_values":[620],"sum":620,"residue":620},{"from_index":1231,"to_index":1239,"interior_indices":[1232,1233,1234,1235,1236,1237,1238],"interior_values":[641,662,440,239,679,55,734],"sum":3450,"residue":861},{"from_index":1239,"to_index":1240,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1240,"to_index":1244,"interior_indices":[1241,1242,1243],"interior_values":[586,383,106],"sum":1075,"residue":212},{"from_index":1244,"to_index":1247,"interior_indices":[1245,1246],"interior_values":[595,221],"sum":816,"residue":816},{"from_index":1247,"to_index":1248,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1248,"to_index":1252,"interior_indices":[1249,1250,1251],"interior_values":[127,301,428],"sum":856,"residue":856},{"from_index":1252,"to_index":1253,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1253,"to_index":1258,"interior_indices":[1254,1255,1256,1257],"interior_values":[160,454,614,205],"sum":1433,"residue":570},{"from_index":1258,"to_index":1260,"interior_indices":[1259],"interior_values":[161],"sum":161,"residue":161},{"from_index":1260,"to_index":1265,"interior_indices":[1261,1262,1263,1264],"interior_values":[278,395,673,205],"sum":1551,"residue":688},{"from_index":1265,"to_index":1269,"interior_indices":[1266,1267,1268],"interior_values":[220,235,455],"sum":910,"residue":47},{"from_index":1269,"to_index":1270,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1270,"to_index":1275,"interior_indices":[1271,1272,1273,1274],"interior_values":[109,391,500,28],"sum":1028,"residue":165},{"from_index":1275,"to_index":1278,"interior_indices":[1276,1277],"interior_values":[556,221],"sum":777,"residue":777},{"from_index":1278,"to_index":1279,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1279,"to_index":1283,"interior_indices":[1280,1281,1282],"interior_values":[49,184,233],"sum":466,"residue":466},{"from_index":1283,"to_index":1285,"interior_indices":[1284],"interior_values":[650],"sum":650,"residue":650},{"from_index":1285,"to_index":1287,"interior_indices":[1286],"interior_values":[854],"sum":854,"residue":854},{"from_index":1287,"to_index":1288,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1288,"to_index":1289,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1289,"to_index":1290,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1290,"to_index":1296,"interior_indices":[1291,1292,1293,1294,1295],"interior_values":[85,652,737,526,400],"sum":2400,"residue":674},{"from_index":1296,"to_index":1299,"interior_indices":[1297,1298],"interior_values":[463,526],"sum":989,"residue":126},{"from_index":1299,"to_index":1302,"interior_indices":[1300,1301],"interior_values":[652,778],"sum":1430,"residue":567},{"from_index":1302,"to_index":1304,"interior_indices":[1303],"interior_values":[482],"sum":482,"residue":482},{"from_index":1304,"to_index":1314,"interior_indices":[1305,1306,1307,1308,1309,1310,1311,1312,1313],"interior_values":[668,854,659,650,446,233,679,49,728],"sum":4966,"residue":651},{"from_index":1314,"to_index":1315,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1315,"to_index":1319,"interior_indices":[1316,1317,1318],"interior_values":[556,335,28],"sum":919,"residue":56},{"from_index":1319,"to_index":1322,"interior_indices":[1320,1321],"interior_values":[391,754],"sum":1145,"residue":282},{"from_index":1322,"to_index":1331,"interior_indices":[1323,1324,1325,1326,1327,1328,1329,1330],"interior_values":[173,455,628,220,848,205,190,395],"sum":3114,"residue":525},{"from_index":1331,"to_index":1332,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1332,"to_index":1333,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1333,"to_index":1334,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1334,"to_index":1340,"interior_indices":[1335,1336,1337,1338,1339],"interior_values":[658,614,409,160,569],"sum":2410,"residue":684},{"from_index":1340,"to_index":1341,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1341,"to_index":1344,"interior_indices":[1342,1343],"interior_values":[301,736],"sum":1037,"residue":174},{"from_index":1344,"to_index":1348,"interior_indices":[1345,1346,1347],"interior_values":[47,221,268],"sum":536,"residue":536},{"from_index":1348,"to_index":1352,"interior_indices":[1349,1350,1351],"interior_values":[757,383,277],"sum":1417,"residue":554},{"from_index":1352,"to_index":1357,"interior_indices":[1353,1354,1355,1356],"interior_values":[74,734,808,679],"sum":2295,"residue":569},{"from_index":1357,"to_index":1359,"interior_indices":[1358],"interior_values":[440],"sum":440,"residue":440},{"from_index":1359,"to_index":1367,"interior_indices":[1360,1361,1362,1363,1364,1365,1366],"interior_values":[641,842,620,599,356,92,448],"sum":3598,"residue":146},{"from_index":1367,"to_index":1372,"interior_indices":[1368,1369,1370,1371],"interior_values":[125,665,790,592],"sum":2172,"residue":446},{"from_index":1372,"to_index":1378,"interior_indices":[1373,1374,1375,1376,1377],"interior_values":[248,767,152,56,208],"sum":1431,"residue":568},{"from_index":1378,"to_index":1381,"interior_indices":[1379,1380],"interior_values":[472,736],"sum":1208,"residue":345},{"from_index":1381,"to_index":1386,"interior_indices":[1382,1383,1384,1385],"interior_values":[218,563,781,481],"sum":2043,"residue":317},{"from_index":1386,"to_index":1390,"interior_indices":[1387,1388,1389],"interior_values":[17,416,433],"sum":866,"residue":3},{"from_index":1390,"to_index":1392,"interior_indices":[1391],"interior_values":[419],"sum":419,"residue":419},{"from_index":1392,"to_index":1394,"interior_indices":[1393],"interior_values":[824],"sum":824,"residue":824},{"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":1399,"interior_indices":[1397,1398],"interior_values":[157,850],"sum":1007,"residue":144},{"from_index":1399,"to_index":1403,"interior_indices":[1400,1401,1402],"interior_values":[131,275,406],"sum":812,"residue":812},{"from_index":1403,"to_index":1405,"interior_indices":[1404],"interior_values":[224],"sum":224,"residue":224},{"from_index":1405,"to_index":1411,"interior_indices":[1406,1407,1408,1409,1410],"interior_values":[266,308,574,19,593],"sum":1760,"residue":34},{"from_index":1411,"to_index":1412,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1412,"to_index":1417,"interior_indices":[1413,1414,1415,1416],"interior_values":[91,433,524,94],"sum":1142,"residue":279},{"from_index":1417,"to_index":1421,"interior_indices":[1418,1419,1420],"interior_values":[712,467,316],"sum":1495,"residue":632},{"from_index":1421,"to_index":1423,"interior_indices":[1422],"interior_values":[236],"sum":236,"residue":236},{"from_index":1423,"to_index":1428,"interior_indices":[1424,1425,1426,1427],"interior_values":[392,548,77,625],"sum":1642,"residue":779},{"from_index":1428,"to_index":1430,"interior_indices":[1429],"interior_values":[464],"sum":464,"residue":464},{"from_index":1430,"to_index":1432,"interior_indices":[1431],"interior_values":[767],"sum":767,"residue":767},{"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":[313,197],"sum":510,"residue":510},{"from_index":1439,"to_index":1441,"interior_indices":[1440],"interior_values":[707],"sum":707,"residue":707},{"from_index":1441,"to_index":1442,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1442,"to_index":1443,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1443,"to_index":1444,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1444,"to_index":1447,"interior_indices":[1445,1446],"interior_values":[439,326],"sum":765,"residue":765},{"from_index":1447,"to_index":1448,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1448,"to_index":1452,"interior_indices":[1449,1450,1451],"interior_values":[130,358,488],"sum":976,"residue":113},{"from_index":1452,"to_index":1453,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1453,"to_index":1456,"interior_indices":[1454,1455],"interior_values":[454,62],"sum":516,"residue":516},{"from_index":1456,"to_index":1458,"interior_indices":[1457],"interior_values":[578],"sum":578,"residue":578},{"from_index":1458,"to_index":1460,"interior_indices":[1459],"interior_values":[809],"sum":809,"residue":809},{"from_index":1460,"to_index":1461,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1461,"to_index":1462,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1462,"to_index":1463,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1463,"to_index":1464,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1464,"to_index":1467,"interior_indices":[1465,1466],"interior_values":[283,143],"sum":426,"residue":426},{"from_index":1467,"to_index":1469,"interior_indices":[1468],"interior_values":[569],"sum":569,"residue":569},{"from_index":1469,"to_index":1479,"interior_indices":[1470,1471,1472,1473,1474,1475,1476,1477,1478],"interior_values":[701,833,671,641,449,227,676,40,716],"sum":4954,"residue":639},{"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":[502,248],"sum":750,"residue":750},{"from_index":1483,"to_index":1484,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1484,"to_index":1488,"interior_indices":[1485,1486,1487],"interior_values":[22,157,179],"sum":358,"residue":358},{"from_index":1488,"to_index":1495,"interior_indices":[1489,1490,1491,1492,1493,1494],"interior_values":[515,851,503,491,131,622],"sum":3113,"residue":524},{"from_index":1495,"to_index":1497,"interior_indices":[1496],"interior_values":[512],"sum":512,"residue":512},{"from_index":1497,"to_index":1498,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1498,"to_index":1499,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1499,"to_index":1500,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1500,"to_index":1508,"interior_indices":[1501,1502,1503,1504,1505,1506,1507],"interior_values":[94,598,692,427,256,683,76],"sum":2826,"residue":237},{"from_index":1508,"to_index":1513,"interior_indices":[1509,1510,1511,1512],"interior_values":[835,731,703,571],"sum":2840,"residue":251},{"from_index":1513,"to_index":1518,"interior_indices":[1514,1515,1516,1517],"interior_values":[119,530,649,316],"sum":1614,"residue":751},{"from_index":1518,"to_index":1521,"interior_indices":[1519,1520],"interior_values":[418,520],"sum":938,"residue":75},{"from_index":1521,"to_index":1524,"interior_indices":[1522,1523],"interior_values":[595,670],"sum":1265,"residue":402},{"from_index":1524,"to_index":1529,"interior_indices":[1525,1526,1527,1528],"interior_values":[209,611,820,568],"sum":2208,"residue":482},{"from_index":1529,"to_index":1535,"interior_indices":[1530,1531,1532,1533,1534],"interior_values":[230,755,122,14,136],"sum":1257,"residue":394},{"from_index":1535,"to_index":1542,"interior_indices":[1536,1537,1538,1539,1540,1541],"interior_values":[286,436,722,295,154,449],"sum":2342,"residue":616},{"from_index":1542,"to_index":1543,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1543,"to_index":1544,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1544,"to_index":1547,"interior_indices":[1545,1546],"interior_values":[118,47],"sum":165,"residue":165},{"from_index":1547,"to_index":1553,"interior_indices":[1548,1549,1550,1551,1552],"interior_values":[212,377,589,103,692],"sum":1973,"residue":247},{"from_index":1553,"to_index":1554,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1554,"to_index":1558,"interior_indices":[1555,1556,1557],"interior_values":[556,317,10],"sum":883,"residue":20},{"from_index":1558,"to_index":1561,"interior_indices":[1559,1560],"interior_values":[337,664],"sum":1001,"residue":138},{"from_index":1561,"to_index":1565,"interior_indices":[1562,1563,1564],"interior_values":[802,77,16],"sum":895,"residue":32},{"from_index":1565,"to_index":1569,"interior_indices":[1566,1567,1568],"interior_values":[109,202,311],"sum":622,"residue":622},{"from_index":1569,"to_index":1571,"interior_indices":[1570],"interior_values":[824],"sum":824,"residue":824},{"from_index":1571,"to_index":1572,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1572,"to_index":1577,"interior_indices":[1573,1574,1575,1576],"interior_values":[46,481,527,145],"sum":1199,"residue":336},{"from_index":1577,"to_index":1582,"interior_indices":[1578,1579,1580,1581],"interior_values":[817,626,580,343],"sum":2366,"residue":640},{"from_index":1582,"to_index":1585,"interior_indices":[1583,1584],"interior_values":[403,463],"sum":866,"residue":3},{"from_index":1585,"to_index":1588,"interior_indices":[1586,1587],"interior_values":[466,469],"sum":935,"residue":72},{"from_index":1588,"to_index":1591,"interior_indices":[1589,1590],"interior_values":[541,613],"sum":1154,"residue":291},{"from_index":1591,"to_index":1595,"interior_indices":[1592,1593,1594],"interior_values":[41,332,373],"sum":746,"residue":746},{"from_index":1595,"to_index":1597,"interior_indices":[1596],"interior_values":[215],"sum":215,"residue":215},{"from_index":1597,"to_index":1603,"interior_indices":[1598,1599,1600,1601,1602],"interior_values":[272,329,601,67,668],"sum":1937,"residue":211},{"from_index":1603,"to_index":1604,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1604,"to_index":1607,"interior_indices":[1605,1606],"interior_values":[412,89],"sum":501,"residue":501},{"from_index":1607,"to_index":1609,"interior_indices":[1608],"interior_values":[590],"sum":590,"residue":590},{"from_index":1609,"to_index":1611,"interior_indices":[1610],"interior_values":[818],"sum":818,"residue":818},{"from_index":1611,"to_index":1612,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1612,"to_index":1613,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1613,"to_index":1614,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1614,"to_index":1615,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1615,"to_index":1618,"interior_indices":[1616,1617],"interior_values":[376,293],"sum":669,"residue":669},{"from_index":1618,"to_index":1619,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1619,"to_index":1620,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1620,"to_index":1626,"interior_indices":[1621,1622,1623,1624,1625],"interior_values":[4,772,776,685,598],"sum":2835,"residue":246},{"from_index":1626,"to_index":1631,"interior_indices":[1627,1628,1629,1630],"interior_values":[155,575,730,442],"sum":1902,"residue":176},{"from_index":1631,"to_index":1635,"interior_indices":[1632,1633,1634],"interior_values":[751,197,85],"sum":1033,"residue":170},{"from_index":1635,"to_index":1638,"interior_indices":[1636,1637],"interior_values":[367,649],"sum":1016,"residue":153},{"from_index":1638,"to_index":1642,"interior_indices":[1639,1640,1641],"interior_values":[802,92,31],"sum":925,"residue":62},{"from_index":1642,"to_index":1646,"interior_indices":[1643,1644,1645],"interior_values":[154,277,431],"sum":862,"residue":862},{"from_index":1646,"to_index":1647,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1647,"to_index":1652,"interior_indices":[1648,1649,1650,1651],"interior_values":[121,397,518,52],"sum":1088,"residue":225},{"from_index":1652,"to_index":1656,"interior_indices":[1653,1654,1655],"interior_values":[622,329,88],"sum":1039,"residue":176},{"from_index":1656,"to_index":1659,"interior_indices":[1657,1658],"interior_values":[505,59],"sum":564,"residue":564},{"from_index":1659,"to_index":1661,"interior_indices":[1660],"interior_values":[623],"sum":623,"residue":623},{"from_index":1661,"to_index":1662,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1662,"to_index":1663,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1663,"to_index":1664,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1664,"to_index":1669,"interior_indices":[1665,1666,1667,1668],"interior_values":[37,529,566,232],"sum":1364,"residue":501},{"from_index":1669,"to_index":1671,"interior_indices":[1670],"interior_values":[167],"sum":167,"residue":167},{"from_index":1671,"to_index":1678,"interior_indices":[1672,1673,1674,1675,1676,1677],"interior_values":[269,371,640,148,788,73],"sum":2289,"residue":563},{"from_index":1678,"to_index":1680,"interior_indices":[1679],"interior_values":[71],"sum":71,"residue":71},{"from_index":1680,"to_index":1684,"interior_indices":[1681,1682,1683],"interior_values":[140,209,349],"sum":698,"residue":698},{"from_index":1684,"to_index":1689,"interior_indices":[1685,1686,1687,1688],"interior_values":[44,602,646,385],"sum":1677,"residue":814},{"from_index":1689,"to_index":1692,"interior_indices":[1690,1691],"interior_values":[553,721],"sum":1274,"residue":411},{"from_index":1692,"to_index":1697,"interior_indices":[1693,1694,1695,1696],"interior_values":[269,680,86,766],"sum":1801,"residue":75},{"from_index":1697,"to_index":1699,"interior_indices":[1698],"interior_values":[755],"sum":755,"residue":755},{"from_index":1699,"to_index":1700,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1700,"to_index":1703,"interior_indices":[1701,1702],"interior_values":[517,290],"sum":807,"residue":807},{"from_index":1703,"to_index":1704,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1704,"to_index":1709,"interior_indices":[1705,1706,1707,1708],"interior_values":[178,412,590,139],"sum":1319,"residue":456},{"from_index":1709,"to_index":1714,"interior_indices":[1710,1711,1712,1713],"interior_values":[5,734,739,610],"sum":2088,"residue":362},{"from_index":1714,"to_index":1722,"interior_indices":[1715,1716,1717,1718,1719,1720,1721],"interior_values":[233,719,89,808,34,842,13],"sum":2738,"residue":149},{"from_index":1722,"to_index":0,"interior_indices":[1723,1724,1725,1726,1727],"interior_values":[5,860,2,862,1],"sum":1730,"residue":4}],"minimal_cycle":[4,26,178,352,0,846,0,744,0,0,183,26,261,698,217,742,0,0,0,213,779,0,0,0,176,104,276,371,68,224,288,614,111,404,725,0,0,0,0,0,735,0,658,0,0,0,822,0,722,315,375,0,0,0,93,122,219,795,0,754,0,0,189,850,150,741,755,0,252,745,856,0,132,152,376,812,0,0,372,503,88,0,756,0,454,641,833,0,0,0,0,423,563,71,49,0,552,665,0,0,0,429,545,644,548,0,0,0,302,609,0,616,0,0,0,732,0,340,56,744,0,543,152,196,0,507,599,842,0,0,0,129,554,536,308,89,702,746,0,378,254,614,581,446,659,523,214,677,0,0,0,0,0,135,614,771,0,15,468,571,294,214,0,212,789,0,478,662,0,0,0,0,0,738,0,688,0,0,0,564,0,65,0,444,458,52,0,639,821,0,270,248,302,627,707,0,0,399,560,464,353,296,245,818,347,632,560,437,731,0,0,0,0,0,147,722,662,527,0,0,0,0,351,487,180,56,41,0,568,0,676,0,0,0,718,414,24,698,0,171,614,311,443,350,290,92,11,0,648,806,0,195,39,362,635,332,277,23,0,357,251,278,224,482,716,299,715,696,761,0,75,792,794,0,819,0,568,0,0,108,692,95,858,0,754,0,0,21,858,0,0,0,861,860,0,740,719,0,129,278,234,692,788,680,0,5,0,723,0,0,0,344,631,492,455,152,482,777,0,123,122,384,729,0,87,768,764,0,459,542,173,467,98,685,54,237,290,435,841,128,614,383,839,674,0,417,122,64,0,815,333,335,778,504,410,842,491,851,0,0,135,722,596,449,671,572,440,740,0,0,0,0,0,846,0,228,848,311,590,434,752,0,0,0,0,315,5,188,342,536,173,680,536,0,0,0,0,846,0,300,137,711,767,0,198,33,356,620,861,0,212,816,0,856,0,570,161,688,47,0,165,777,0,466,650,854,0,0,0,674,126,567,482,651,0,56,282,525,0,0,0,684,0,174,536,554,569,440,146,446,568,345,317,3,419,824,0,0,144,812,224,34,0,279,632,236,779,464,767,0,0,0,0,510,707,0,0,0,765,0,113,0,516,578,809,0,0,0,0,426,569,639,0,750,0,358,524,512,0,0,0,237,251,751,75,402,482,394,616,0,0,165,247,0,20,138,32,622,824,0,336,640,3,72,291,746,215,211,0,501,590,818,0,0,0,0,669,0,0,246,176,170,153,62,862,0,225,176,564,623,0,0,0,501,167,563,71,698,814,411,75,755,0,807,0,456,362,149,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1728,4],"start_interval_values":[1,1,2],"circle_positions":863,"cycle_length":569,"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":[0,576,1152],"clock_positions":[1728,576,1152],"native_values":[863,156,707],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[863,156,707],"beta":{"interval_sums":[235244,264629,244033],"interval_residues":[508,551,667],"display_cycle":[508,551,667],"intervals":[{"from_index":0,"to_index":576,"sum":235244,"residue":508},{"from_index":576,"to_index":1152,"sum":264629,"residue":551},{"from_index":1152,"to_index":0,"sum":244033,"residue":667}],"minimal_cycle":[508,551,667],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[1728,576],"circle_positions":863,"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":[1,577,1153],"clock_positions":[1,577,1153],"native_values":[1,509,353],"rotation_degrees":0.20833333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,509,353],"beta":{"interval_sums":[235399,264827,243680],"interval_residues":[663,749,314],"display_cycle":[663,749,314],"intervals":[{"from_index":1,"to_index":577,"sum":235399,"residue":663},{"from_index":577,"to_index":1153,"sum":264827,"residue":749},{"from_index":1153,"to_index":1,"sum":243680,"residue":314}],"minimal_cycle":[663,749,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":663,"start_interval_clock_positions":[1,577],"circle_positions":863,"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":[2,578,1154],"clock_positions":[2,578,1154],"native_values":[1,665,197],"rotation_degrees":0.4166666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,665,197],"beta":{"interval_sums":[235907,264515,243484],"interval_residues":[308,437,118],"display_cycle":[308,437,118],"intervals":[{"from_index":2,"to_index":578,"sum":235907,"residue":308},{"from_index":578,"to_index":1154,"sum":264515,"residue":437},{"from_index":1154,"to_index":2,"sum":243484,"residue":118}],"minimal_cycle":[308,437,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[2,578],"circle_positions":863,"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":[3,579,1155],"clock_positions":[3,579,1155],"native_values":[2,311,550],"rotation_degrees":0.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,311,550],"beta":{"interval_sums":[236570,264401,242935],"interval_residues":[108,323,432],"display_cycle":[108,323,432],"intervals":[{"from_index":3,"to_index":579,"sum":236570,"residue":108},{"from_index":579,"to_index":1155,"sum":264401,"residue":323},{"from_index":1155,"to_index":3,"sum":242935,"residue":432}],"minimal_cycle":[108,323,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[3,579],"circle_positions":863,"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":[4,580,1156],"clock_positions":[4,580,1156],"native_values":[3,113,747],"rotation_degrees":0.8333333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,113,747],"beta":{"interval_sums":[236878,264838,242190],"interval_residues":[416,760,550],"display_cycle":[416,760,550],"intervals":[{"from_index":4,"to_index":580,"sum":236878,"residue":416},{"from_index":580,"to_index":1156,"sum":264838,"residue":760},{"from_index":1156,"to_index":4,"sum":242190,"residue":550}],"minimal_cycle":[416,760,550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[4,580],"circle_positions":863,"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":[5,581,1157],"clock_positions":[5,581,1157],"native_values":[5,424,434],"rotation_degrees":1.0416666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,424,434],"beta":{"interval_sums":[236986,265161,241759],"interval_residues":[524,220,119],"display_cycle":[524,220,119],"intervals":[{"from_index":5,"to_index":581,"sum":236986,"residue":524},{"from_index":581,"to_index":1157,"sum":265161,"residue":220},{"from_index":1157,"to_index":5,"sum":241759,"residue":119}],"minimal_cycle":[524,220,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[5,581],"circle_positions":863,"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":[6,582,1158],"clock_positions":[6,582,1158],"native_values":[8,537,318],"rotation_degrees":1.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,537,318],"beta":{"interval_sums":[237402,265058,241446],"interval_residues":[77,117,669],"display_cycle":[77,117,669],"intervals":[{"from_index":6,"to_index":582,"sum":237402,"residue":77},{"from_index":582,"to_index":1158,"sum":265058,"residue":117},{"from_index":1158,"to_index":6,"sum":241446,"residue":669}],"minimal_cycle":[77,117,669],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[6,582],"circle_positions":863,"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":[7,583,1159],"clock_positions":[7,583,1159],"native_values":[13,98,752],"rotation_degrees":1.4583333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,98,752],"beta":{"interval_sums":[237926,265278,240702],"interval_residues":[601,337,788],"display_cycle":[601,337,788],"intervals":[{"from_index":7,"to_index":583,"sum":237926,"residue":601},{"from_index":583,"to_index":1159,"sum":265278,"residue":337},{"from_index":1159,"to_index":7,"sum":240702,"residue":788}],"minimal_cycle":[601,337,788],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[7,583],"circle_positions":863,"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":[8,584,1160],"clock_positions":[8,584,1160],"native_values":[21,635,207],"rotation_degrees":1.6666666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,635,207],"beta":{"interval_sums":[238003,265395,240508],"interval_residues":[678,454,594],"display_cycle":[678,454,594],"intervals":[{"from_index":8,"to_index":584,"sum":238003,"residue":678},{"from_index":584,"to_index":1160,"sum":265395,"residue":454},{"from_index":1160,"to_index":8,"sum":240508,"residue":594}],"minimal_cycle":[678,454,594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[8,584],"circle_positions":863,"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":[9,585,1161],"clock_positions":[9,585,1161],"native_values":[34,733,96],"rotation_degrees":1.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,733,96],"beta":{"interval_sums":[238604,264869,240433],"interval_residues":[416,791,519],"display_cycle":[416,791,519],"intervals":[{"from_index":9,"to_index":585,"sum":238604,"residue":416},{"from_index":585,"to_index":1161,"sum":264869,"residue":791},{"from_index":1161,"to_index":9,"sum":240433,"residue":519}],"minimal_cycle":[416,791,519],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[9,585],"circle_positions":863,"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":[10,586,1162],"clock_positions":[10,586,1162],"native_values":[55,505,303],"rotation_degrees":2.0833333333333335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,505,303],"beta":{"interval_sums":[239282,264460,240164],"interval_residues":[231,382,250],"display_cycle":[231,382,250],"intervals":[{"from_index":10,"to_index":586,"sum":239282,"residue":231},{"from_index":586,"to_index":1162,"sum":264460,"residue":382},{"from_index":1162,"to_index":10,"sum":240164,"residue":250}],"minimal_cycle":[231,382,250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":231,"start_interval_clock_positions":[10,586],"circle_positions":863,"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":[11,587,1163],"clock_positions":[11,587,1163],"native_values":[89,375,399],"rotation_degrees":2.2916666666666665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,375,399],"beta":{"interval_sums":[239698,264388,239820],"interval_residues":[647,310,769],"display_cycle":[647,310,769],"intervals":[{"from_index":11,"to_index":587,"sum":239698,"residue":647},{"from_index":587,"to_index":1163,"sum":264388,"residue":310},{"from_index":1163,"to_index":11,"sum":239820,"residue":769}],"minimal_cycle":[647,310,769],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":647,"start_interval_clock_positions":[11,587],"circle_positions":863,"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":[12,588,1164],"clock_positions":[12,588,1164],"native_values":[144,17,702],"rotation_degrees":2.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,17,702],"beta":{"interval_sums":[239929,264770,239207],"interval_residues":[15,692,156],"display_cycle":[15,692,156],"intervals":[{"from_index":12,"to_index":588,"sum":239929,"residue":15},{"from_index":588,"to_index":1164,"sum":264770,"residue":692},{"from_index":1164,"to_index":12,"sum":239207,"residue":156}],"minimal_cycle":[15,692,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[12,588],"circle_positions":863,"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":[13,589,1165],"clock_positions":[13,589,1165],"native_values":[233,392,238],"rotation_degrees":2.7083333333333335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,392,238],"beta":{"interval_sums":[239713,265080,239113],"interval_residues":[662,139,62],"display_cycle":[662,139,62],"intervals":[{"from_index":13,"to_index":589,"sum":239713,"residue":662},{"from_index":589,"to_index":1165,"sum":265080,"residue":139},{"from_index":1165,"to_index":13,"sum":239113,"residue":62}],"minimal_cycle":[662,139,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[13,589],"circle_positions":863,"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":[14,590,1166],"clock_positions":[14,590,1166],"native_values":[377,409,77],"rotation_degrees":2.9166666666666665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,409,77],"beta":{"interval_sums":[239728,264909,239269],"interval_residues":[677,831,218],"display_cycle":[677,831,218],"intervals":[{"from_index":14,"to_index":590,"sum":239728,"residue":677},{"from_index":590,"to_index":1166,"sum":264909,"residue":831},{"from_index":1166,"to_index":14,"sum":239269,"residue":218}],"minimal_cycle":[677,831,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[14,590],"circle_positions":863,"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":[15,591,1167],"clock_positions":[15,591,1167],"native_values":[610,801,315],"rotation_degrees":3.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,801,315],"beta":{"interval_sums":[239527,264185,239331],"interval_residues":[476,107,280],"display_cycle":[476,107,280],"intervals":[{"from_index":15,"to_index":591,"sum":239527,"residue":476},{"from_index":591,"to_index":1167,"sum":264185,"residue":107},{"from_index":1167,"to_index":15,"sum":239331,"residue":280}],"minimal_cycle":[476,107,280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[15,591],"circle_positions":863,"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":[16,592,1168],"clock_positions":[16,592,1168],"native_values":[124,347,392],"rotation_degrees":3.3333333333333335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,347,392],"beta":{"interval_sums":[240204,264153,239549],"interval_residues":[290,75,498],"display_cycle":[290,75,498],"intervals":[{"from_index":16,"to_index":592,"sum":240204,"residue":290},{"from_index":592,"to_index":1168,"sum":264153,"residue":75},{"from_index":1168,"to_index":16,"sum":239549,"residue":498}],"minimal_cycle":[290,75,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[16,592],"circle_positions":863,"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":[17,593,1169],"clock_positions":[17,593,1169],"native_values":[734,285,707],"rotation_degrees":3.5416666666666665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,285,707],"beta":{"interval_sums":[239817,264260,238966],"interval_residues":[766,182,778],"display_cycle":[766,182,778],"intervals":[{"from_index":17,"to_index":593,"sum":239817,"residue":766},{"from_index":593,"to_index":1169,"sum":264260,"residue":182},{"from_index":1169,"to_index":17,"sum":238966,"residue":778}],"minimal_cycle":[766,182,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":766,"start_interval_clock_positions":[17,593],"circle_positions":863,"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":[18,594,1170],"clock_positions":[18,594,1170],"native_values":[858,632,236],"rotation_degrees":3.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[858,632,236],"beta":{"interval_sums":[239244,264335,239464],"interval_residues":[193,257,413],"display_cycle":[193,257,413],"intervals":[{"from_index":18,"to_index":594,"sum":239244,"residue":193},{"from_index":594,"to_index":1170,"sum":264335,"residue":257},{"from_index":1170,"to_index":18,"sum":239464,"residue":413}],"minimal_cycle":[193,257,413],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[18,594],"circle_positions":863,"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":[19,595,1171],"clock_positions":[19,595,1171],"native_values":[729,54,80],"rotation_degrees":3.9583333333333335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,54,80],"beta":{"interval_sums":[239147,264517,240242],"interval_residues":[96,439,328],"display_cycle":[96,439,328],"intervals":[{"from_index":19,"to_index":595,"sum":239147,"residue":96},{"from_index":595,"to_index":1171,"sum":264517,"residue":439},{"from_index":1171,"to_index":19,"sum":240242,"residue":328}],"minimal_cycle":[96,439,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[19,595],"circle_positions":863,"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":[20,596,1172],"clock_positions":[20,596,1172],"native_values":[724,686,316],"rotation_degrees":4.166666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[724,686,316],"beta":{"interval_sums":[238477,263911,240655],"interval_residues":[289,696,741],"display_cycle":[289,696,741],"intervals":[{"from_index":20,"to_index":596,"sum":238477,"residue":289},{"from_index":596,"to_index":1172,"sum":263911,"residue":696},{"from_index":1172,"to_index":20,"sum":240655,"residue":741}],"minimal_cycle":[289,696,741],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[20,596],"circle_positions":863,"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":[21,597,1173],"clock_positions":[21,597,1173],"native_values":[590,740,396],"rotation_degrees":4.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,740,396],"beta":{"interval_sums":[238573,263487,240983],"interval_residues":[385,272,206],"display_cycle":[385,272,206],"intervals":[{"from_index":21,"to_index":597,"sum":238573,"residue":385},{"from_index":597,"to_index":1173,"sum":263487,"residue":272},{"from_index":1173,"to_index":21,"sum":240983,"residue":206}],"minimal_cycle":[385,272,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[21,597],"circle_positions":863,"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":[22,598,1174],"clock_positions":[22,598,1174],"native_values":[451,563,712],"rotation_degrees":4.583333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,563,712],"beta":{"interval_sums":[238862,263320,240861],"interval_residues":[674,105,84],"display_cycle":[674,105,84],"intervals":[{"from_index":22,"to_index":598,"sum":238862,"residue":674},{"from_index":598,"to_index":1174,"sum":263320,"residue":105},{"from_index":1174,"to_index":22,"sum":240861,"residue":84}],"minimal_cycle":[674,105,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[22,598],"circle_positions":863,"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":[23,599,1175],"clock_positions":[23,599,1175],"native_values":[178,440,245],"rotation_degrees":4.791666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,440,245],"beta":{"interval_sums":[239247,263592,241067],"interval_residues":[196,377,290],"display_cycle":[196,377,290],"intervals":[{"from_index":23,"to_index":599,"sum":239247,"residue":196},{"from_index":599,"to_index":1175,"sum":263592,"residue":377},{"from_index":1175,"to_index":23,"sum":241067,"residue":290}],"minimal_cycle":[196,377,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[23,599],"circle_positions":863,"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":[24,600,1176],"clock_positions":[24,600,1176],"native_values":[629,140,94],"rotation_degrees":5.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,140,94],"beta":{"interval_sums":[239058,263697,241151],"interval_residues":[7,482,374],"display_cycle":[7,482,374],"intervals":[{"from_index":24,"to_index":600,"sum":239058,"residue":7},{"from_index":600,"to_index":1176,"sum":263697,"residue":482},{"from_index":1176,"to_index":24,"sum":241151,"residue":374}],"minimal_cycle":[7,482,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":7,"start_interval_clock_positions":[24,600],"circle_positions":863,"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":[25,601,1177],"clock_positions":[25,601,1177],"native_values":[807,580,339],"rotation_degrees":5.208333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,580,339],"beta":{"interval_sums":[238391,263211,241441],"interval_residues":[203,859,664],"display_cycle":[203,859,664],"intervals":[{"from_index":25,"to_index":601,"sum":238391,"residue":203},{"from_index":601,"to_index":1177,"sum":263211,"residue":859},{"from_index":1177,"to_index":25,"sum":241441,"residue":664}],"minimal_cycle":[203,859,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[25,601],"circle_positions":863,"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":[26,602,1178],"clock_positions":[26,602,1178],"native_values":[573,720,433],"rotation_degrees":5.416666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,720,433],"beta":{"interval_sums":[238398,262830,241815],"interval_residues":[210,478,175],"display_cycle":[210,478,175],"intervals":[{"from_index":26,"to_index":602,"sum":238398,"residue":210},{"from_index":602,"to_index":1178,"sum":262830,"residue":478},{"from_index":1178,"to_index":26,"sum":241815,"residue":175}],"minimal_cycle":[210,478,175],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[26,602],"circle_positions":863,"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":[27,603,1179],"clock_positions":[27,603,1179],"native_values":[517,437,772],"rotation_degrees":5.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[517,437,772],"beta":{"interval_sums":[238601,262826,241616],"interval_residues":[413,474,839],"display_cycle":[413,474,839],"intervals":[{"from_index":27,"to_index":603,"sum":238601,"residue":413},{"from_index":603,"to_index":1179,"sum":262826,"residue":474},{"from_index":1179,"to_index":27,"sum":241616,"residue":839}],"minimal_cycle":[413,474,839],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[27,603],"circle_positions":863,"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":[28,604,1180],"clock_positions":[28,604,1180],"native_values":[227,294,342],"rotation_degrees":5.833333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,294,342],"beta":{"interval_sums":[238811,263304,241791],"interval_residues":[623,89,151],"display_cycle":[623,89,151],"intervals":[{"from_index":28,"to_index":604,"sum":238811,"residue":623},{"from_index":604,"to_index":1180,"sum":263304,"residue":89},{"from_index":1180,"to_index":28,"sum":241791,"residue":151}],"minimal_cycle":[623,89,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[28,604],"circle_positions":863,"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":[29,605,1181],"clock_positions":[29,605,1181],"native_values":[744,731,251],"rotation_degrees":6.041666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,731,251],"beta":{"interval_sums":[238361,262915,241767],"interval_residues":[173,563,127],"display_cycle":[173,563,127],"intervals":[{"from_index":29,"to_index":605,"sum":238361,"residue":173},{"from_index":605,"to_index":1181,"sum":262915,"residue":563},{"from_index":1181,"to_index":29,"sum":241767,"residue":127}],"minimal_cycle":[173,563,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[29,605],"circle_positions":863,"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":[30,606,1182],"clock_positions":[30,606,1182],"native_values":[108,162,593],"rotation_degrees":6.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,162,593],"beta":{"interval_sums":[238984,263004,241918],"interval_residues":[796,652,278],"display_cycle":[796,652,278],"intervals":[{"from_index":30,"to_index":606,"sum":238984,"residue":796},{"from_index":606,"to_index":1182,"sum":263004,"residue":652},{"from_index":1182,"to_index":30,"sum":241918,"residue":278}],"minimal_cycle":[796,652,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[30,606],"circle_positions":863,"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":[31,607,1183],"clock_positions":[31,607,1183],"native_values":[852,30,844],"rotation_degrees":6.458333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[852,30,844],"beta":{"interval_sums":[238294,263567,241182],"interval_residues":[106,352,405],"display_cycle":[106,352,405],"intervals":[{"from_index":31,"to_index":607,"sum":238294,"residue":106},{"from_index":607,"to_index":1183,"sum":263567,"residue":352},{"from_index":1183,"to_index":31,"sum":241182,"residue":405}],"minimal_cycle":[106,352,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[31,607],"circle_positions":863,"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":[32,608,1184],"clock_positions":[32,608,1184],"native_values":[97,192,574],"rotation_degrees":6.666666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,192,574],"beta":{"interval_sums":[238227,264219,241460],"interval_residues":[39,141,683],"display_cycle":[39,141,683],"intervals":[{"from_index":32,"to_index":608,"sum":238227,"residue":39},{"from_index":608,"to_index":1184,"sum":264219,"residue":141},{"from_index":1184,"to_index":32,"sum":241460,"residue":683}],"minimal_cycle":[39,141,683],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[32,608],"circle_positions":863,"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":[33,609,1185],"clock_positions":[33,609,1185],"native_values":[86,222,555],"rotation_degrees":6.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[86,222,555],"beta":{"interval_sums":[238333,264571,241002],"interval_residues":[145,493,225],"display_cycle":[145,493,225],"intervals":[{"from_index":33,"to_index":609,"sum":238333,"residue":145},{"from_index":609,"to_index":1185,"sum":264571,"residue":493},{"from_index":1185,"to_index":33,"sum":241002,"residue":225}],"minimal_cycle":[145,493,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[33,609],"circle_positions":863,"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":[34,610,1186],"clock_positions":[34,610,1186],"native_values":[183,414,266],"rotation_degrees":7.083333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,414,266],"beta":{"interval_sums":[238372,264712,240822],"interval_residues":[184,634,45],"display_cycle":[184,634,45],"intervals":[{"from_index":34,"to_index":610,"sum":238372,"residue":184},{"from_index":610,"to_index":1186,"sum":264712,"residue":634},{"from_index":1186,"to_index":34,"sum":240822,"residue":45}],"minimal_cycle":[184,634,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[34,610],"circle_positions":863,"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":[35,611,1187],"clock_positions":[35,611,1187],"native_values":[269,636,821],"rotation_degrees":7.291666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,636,821],"beta":{"interval_sums":[238517,264342,240184],"interval_residues":[329,264,270],"display_cycle":[329,264,270],"intervals":[{"from_index":35,"to_index":611,"sum":238517,"residue":329},{"from_index":611,"to_index":1187,"sum":264342,"residue":264},{"from_index":1187,"to_index":35,"sum":240184,"residue":270}],"minimal_cycle":[329,264,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":329,"start_interval_clock_positions":[35,611],"circle_positions":863,"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":[36,612,1188],"clock_positions":[36,612,1188],"native_values":[452,187,224],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,187,224],"beta":{"interval_sums":[238701,264976,240229],"interval_residues":[513,35,315],"display_cycle":[513,35,315],"intervals":[{"from_index":36,"to_index":612,"sum":238701,"residue":513},{"from_index":612,"to_index":1188,"sum":264976,"residue":35},{"from_index":1188,"to_index":36,"sum":240229,"residue":315}],"minimal_cycle":[513,35,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[36,612],"circle_positions":863,"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":[37,613,1189],"clock_positions":[37,613,1189],"native_values":[721,823,182],"rotation_degrees":7.708333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,823,182],"beta":{"interval_sums":[238167,264377,240499],"interval_residues":[842,299,585],"display_cycle":[842,299,585],"intervals":[{"from_index":37,"to_index":613,"sum":238167,"residue":842},{"from_index":613,"to_index":1189,"sum":264377,"residue":299},{"from_index":1189,"to_index":37,"sum":240499,"residue":585}],"minimal_cycle":[842,299,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":842,"start_interval_clock_positions":[37,613],"circle_positions":863,"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":[38,614,1190],"clock_positions":[38,614,1190],"native_values":[310,147,406],"rotation_degrees":7.916666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,147,406],"beta":{"interval_sums":[238680,264412,240814],"interval_residues":[492,334,37],"display_cycle":[492,334,37],"intervals":[{"from_index":38,"to_index":614,"sum":238680,"residue":492},{"from_index":614,"to_index":1190,"sum":264412,"residue":334},{"from_index":1190,"to_index":38,"sum":240814,"residue":37}],"minimal_cycle":[492,334,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[38,614],"circle_positions":863,"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":[39,615,1191],"clock_positions":[39,615,1191],"native_values":[168,107,588],"rotation_degrees":8.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,107,588],"beta":{"interval_sums":[238659,264711,240536],"interval_residues":[471,633,622],"display_cycle":[471,633,622],"intervals":[{"from_index":39,"to_index":615,"sum":238659,"residue":471},{"from_index":615,"to_index":1191,"sum":264711,"residue":633},{"from_index":1191,"to_index":39,"sum":240536,"residue":622}],"minimal_cycle":[471,633,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[39,615],"circle_positions":863,"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":[40,616,1192],"clock_positions":[40,616,1192],"native_values":[478,254,131],"rotation_degrees":8.333333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[478,254,131],"beta":{"interval_sums":[238288,265045,240573],"interval_residues":[100,104,659],"display_cycle":[100,104,659],"intervals":[{"from_index":40,"to_index":616,"sum":238288,"residue":100},{"from_index":616,"to_index":1192,"sum":265045,"residue":104},{"from_index":1192,"to_index":40,"sum":240573,"residue":659}],"minimal_cycle":[100,104,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[40,616],"circle_positions":863,"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":[41,617,1193],"clock_positions":[41,617,1193],"native_values":[646,361,719],"rotation_degrees":8.541666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,361,719],"beta":{"interval_sums":[237896,264815,240332],"interval_residues":[571,737,418],"display_cycle":[571,737,418],"intervals":[{"from_index":41,"to_index":617,"sum":237896,"residue":571},{"from_index":617,"to_index":1193,"sum":264815,"residue":737},{"from_index":1193,"to_index":41,"sum":240332,"residue":418}],"minimal_cycle":[571,737,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[41,617],"circle_positions":863,"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":[42,618,1194],"clock_positions":[42,618,1194],"native_values":[261,615,850],"rotation_degrees":8.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,615,850],"beta":{"interval_sums":[237996,264919,240128],"interval_residues":[671,841,214],"display_cycle":[671,841,214],"intervals":[{"from_index":42,"to_index":618,"sum":237996,"residue":671},{"from_index":618,"to_index":1194,"sum":264919,"residue":841},{"from_index":1194,"to_index":42,"sum":240128,"residue":214}],"minimal_cycle":[671,841,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[42,618],"circle_positions":863,"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":[43,619,1195],"clock_positions":[43,619,1195],"native_values":[44,113,706],"rotation_degrees":8.958333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,113,706],"beta":{"interval_sums":[238567,265656,239683],"interval_residues":[379,715,632],"display_cycle":[379,715,632],"intervals":[{"from_index":43,"to_index":619,"sum":238567,"residue":379},{"from_index":619,"to_index":1195,"sum":265656,"residue":715},{"from_index":1195,"to_index":43,"sum":239683,"residue":632}],"minimal_cycle":[379,715,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[43,619],"circle_positions":863,"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":[44,620,1196],"clock_positions":[44,620,1196],"native_values":[305,728,693],"rotation_degrees":9.166666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,728,693],"beta":{"interval_sums":[238375,265634,239034],"interval_residues":[187,693,846],"display_cycle":[187,693,846],"intervals":[{"from_index":44,"to_index":620,"sum":238375,"residue":187},{"from_index":620,"to_index":1196,"sum":265634,"residue":693},{"from_index":1196,"to_index":44,"sum":239034,"residue":846}],"minimal_cycle":[187,693,846],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[44,620],"circle_positions":863,"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":[45,621,1197],"clock_positions":[45,621,1197],"native_values":[349,841,536],"rotation_degrees":9.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,841,536],"beta":{"interval_sums":[238754,265486,238803],"interval_residues":[566,545,615],"display_cycle":[566,545,615],"intervals":[{"from_index":45,"to_index":621,"sum":238754,"residue":566},{"from_index":621,"to_index":1197,"sum":265486,"residue":545},{"from_index":1197,"to_index":45,"sum":238803,"residue":615}],"minimal_cycle":[566,545,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[45,621],"circle_positions":863,"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":[46,622,1198],"clock_positions":[46,622,1198],"native_values":[654,706,366],"rotation_degrees":9.583333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[654,706,366],"beta":{"interval_sums":[238941,265316,238786],"interval_residues":[753,375,598],"display_cycle":[753,375,598],"intervals":[{"from_index":46,"to_index":622,"sum":238941,"residue":753},{"from_index":622,"to_index":1198,"sum":265316,"residue":375},{"from_index":1198,"to_index":46,"sum":238786,"residue":598}],"minimal_cycle":[753,375,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":753,"start_interval_clock_positions":[46,622],"circle_positions":863,"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":[47,623,1199],"clock_positions":[47,623,1199],"native_values":[140,684,39],"rotation_degrees":9.791666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,684,39],"beta":{"interval_sums":[239507,264998,239401],"interval_residues":[456,57,350],"display_cycle":[456,57,350],"intervals":[{"from_index":47,"to_index":623,"sum":239507,"residue":456},{"from_index":623,"to_index":1199,"sum":264998,"residue":57},{"from_index":1199,"to_index":47,"sum":239401,"residue":350}],"minimal_cycle":[456,57,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[47,623],"circle_positions":863,"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":[48,624,1200],"clock_positions":[48,624,1200],"native_values":[794,527,405],"rotation_degrees":10.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[794,527,405],"beta":{"interval_sums":[239397,264510,239136],"interval_residues":[346,432,85],"display_cycle":[346,432,85],"intervals":[{"from_index":48,"to_index":624,"sum":239397,"residue":346},{"from_index":624,"to_index":1200,"sum":264510,"residue":432},{"from_index":1200,"to_index":48,"sum":239136,"residue":85}],"minimal_cycle":[346,432,85],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[48,624],"circle_positions":863,"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":[49,625,1201],"clock_positions":[49,625,1201],"native_values":[71,348,444],"rotation_degrees":10.208333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,348,444],"beta":{"interval_sums":[239853,264567,239486],"interval_residues":[802,489,435],"display_cycle":[802,489,435],"intervals":[{"from_index":49,"to_index":625,"sum":239853,"residue":802},{"from_index":625,"to_index":1201,"sum":264567,"residue":489},{"from_index":1201,"to_index":49,"sum":239486,"residue":435}],"minimal_cycle":[802,489,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":802,"start_interval_clock_positions":[49,625],"circle_positions":863,"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":[50,626,1202],"clock_positions":[50,626,1202],"native_values":[2,12,849],"rotation_degrees":10.416666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,12,849],"beta":{"interval_sums":[240199,264999,238708],"interval_residues":[285,58,520],"display_cycle":[285,58,520],"intervals":[{"from_index":50,"to_index":626,"sum":240199,"residue":285},{"from_index":626,"to_index":1202,"sum":264999,"residue":58},{"from_index":1202,"to_index":50,"sum":238708,"residue":520}],"minimal_cycle":[285,58,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[50,626],"circle_positions":863,"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":[51,627,1203],"clock_positions":[51,627,1203],"native_values":[73,360,430],"rotation_degrees":10.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,360,430],"beta":{"interval_sums":[240138,265488,238280],"interval_residues":[224,547,92],"display_cycle":[224,547,92],"intervals":[{"from_index":51,"to_index":627,"sum":240138,"residue":224},{"from_index":627,"to_index":1203,"sum":265488,"residue":547},{"from_index":1203,"to_index":51,"sum":238280,"residue":92}],"minimal_cycle":[224,547,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[51,627],"circle_positions":863,"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":[52,628,1204],"clock_positions":[52,628,1204],"native_values":[75,372,416],"rotation_degrees":10.833333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,372,416],"beta":{"interval_sums":[240423,265546,237937],"interval_residues":[509,605,612],"display_cycle":[509,605,612],"intervals":[{"from_index":52,"to_index":628,"sum":240423,"residue":509},{"from_index":628,"to_index":1204,"sum":265546,"residue":605},{"from_index":1204,"to_index":52,"sum":237937,"residue":612}],"minimal_cycle":[509,605,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[52,628],"circle_positions":863,"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":[53,629,1205],"clock_positions":[53,629,1205],"native_values":[148,732,846],"rotation_degrees":11.041666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,732,846],"beta":{"interval_sums":[240647,265230,237166],"interval_residues":[733,289,704],"display_cycle":[733,289,704],"intervals":[{"from_index":53,"to_index":629,"sum":240647,"residue":733},{"from_index":629,"to_index":1205,"sum":265230,"residue":289},{"from_index":1205,"to_index":53,"sum":237166,"residue":704}],"minimal_cycle":[733,289,704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[53,629],"circle_positions":863,"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":[54,630,1206],"clock_positions":[54,630,1206],"native_values":[223,241,399],"rotation_degrees":11.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,241,399],"beta":{"interval_sums":[241156,265835,236915],"interval_residues":[379,31,453],"display_cycle":[379,31,453],"intervals":[{"from_index":54,"to_index":630,"sum":241156,"residue":379},{"from_index":630,"to_index":1206,"sum":265835,"residue":31},{"from_index":1206,"to_index":54,"sum":236915,"residue":453}],"minimal_cycle":[379,31,453],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[54,630],"circle_positions":863,"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":[55,631,1207],"clock_positions":[55,631,1207],"native_values":[371,110,382],"rotation_degrees":11.458333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,110,382],"beta":{"interval_sums":[241026,266124,236756],"interval_residues":[249,320,294],"display_cycle":[249,320,294],"intervals":[{"from_index":55,"to_index":631,"sum":241026,"residue":249},{"from_index":631,"to_index":1207,"sum":266124,"residue":320},{"from_index":1207,"to_index":55,"sum":236756,"residue":294}],"minimal_cycle":[249,320,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[55,631],"circle_positions":863,"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":[56,632,1208],"clock_positions":[56,632,1208],"native_values":[594,351,781],"rotation_degrees":11.666666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,351,781],"beta":{"interval_sums":[240542,266155,236346],"interval_residues":[628,351,747],"display_cycle":[628,351,747],"intervals":[{"from_index":56,"to_index":632,"sum":240542,"residue":628},{"from_index":632,"to_index":1208,"sum":266155,"residue":351},{"from_index":1208,"to_index":56,"sum":236346,"residue":747}],"minimal_cycle":[628,351,747],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[56,632],"circle_positions":863,"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":[57,633,1209],"clock_positions":[57,633,1209],"native_values":[102,461,300],"rotation_degrees":11.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,461,300],"beta":{"interval_sums":[240791,266475,236640],"interval_residues":[14,671,178],"display_cycle":[14,671,178],"intervals":[{"from_index":57,"to_index":633,"sum":240791,"residue":14},{"from_index":633,"to_index":1209,"sum":266475,"residue":671},{"from_index":1209,"to_index":57,"sum":236640,"residue":178}],"minimal_cycle":[14,671,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[57,633],"circle_positions":863,"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":[58,634,1210],"clock_positions":[58,634,1210],"native_values":[696,812,218],"rotation_degrees":12.083333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[696,812,218],"beta":{"interval_sums":[240556,265963,236524],"interval_residues":[642,159,62],"display_cycle":[642,159,62],"intervals":[{"from_index":58,"to_index":634,"sum":240556,"residue":642},{"from_index":634,"to_index":1210,"sum":265963,"residue":159},{"from_index":1210,"to_index":58,"sum":236524,"residue":62}],"minimal_cycle":[642,159,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[58,634],"circle_positions":863,"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":[59,635,1211],"clock_positions":[59,635,1211],"native_values":[798,410,518],"rotation_degrees":12.291666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[798,410,518],"beta":{"interval_sums":[240570,265771,236702],"interval_residues":[656,830,240],"display_cycle":[656,830,240],"intervals":[{"from_index":59,"to_index":635,"sum":240570,"residue":656},{"from_index":635,"to_index":1211,"sum":265771,"residue":830},{"from_index":1211,"to_index":59,"sum":236702,"residue":240}],"minimal_cycle":[656,830,240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[59,635],"circle_positions":863,"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":[60,636,1212],"clock_positions":[60,636,1212],"native_values":[631,359,736],"rotation_degrees":12.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,359,736],"beta":{"interval_sums":[240349,265930,236764],"interval_residues":[435,126,302],"display_cycle":[435,126,302],"intervals":[{"from_index":60,"to_index":636,"sum":240349,"residue":435},{"from_index":636,"to_index":1212,"sum":265930,"residue":126},{"from_index":1212,"to_index":60,"sum":236764,"residue":302}],"minimal_cycle":[435,126,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[60,636],"circle_positions":863,"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":[61,637,1213],"clock_positions":[61,637,1213],"native_values":[566,769,391],"rotation_degrees":12.708333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,769,391],"beta":{"interval_sums":[240142,265897,237004],"interval_residues":[228,93,542],"display_cycle":[228,93,542],"intervals":[{"from_index":61,"to_index":637,"sum":240142,"residue":228},{"from_index":637,"to_index":1213,"sum":265897,"residue":93},{"from_index":1213,"to_index":61,"sum":237004,"residue":542}],"minimal_cycle":[228,93,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[61,637],"circle_positions":863,"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":[62,638,1214],"clock_positions":[62,638,1214],"native_values":[334,265,264],"rotation_degrees":12.916666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,265,264],"beta":{"interval_sums":[240577,266023,237306],"interval_residues":[663,219,844],"display_cycle":[663,219,844],"intervals":[{"from_index":62,"to_index":638,"sum":240577,"residue":663},{"from_index":638,"to_index":1214,"sum":266023,"residue":219},{"from_index":1214,"to_index":62,"sum":237306,"residue":844}],"minimal_cycle":[663,219,844],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":663,"start_interval_clock_positions":[62,638],"circle_positions":863,"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":[63,639,1215],"clock_positions":[63,639,1215],"native_values":[37,171,655],"rotation_degrees":13.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,171,655],"beta":{"interval_sums":[240805,266116,236985],"interval_residues":[28,312,523],"display_cycle":[28,312,523],"intervals":[{"from_index":63,"to_index":639,"sum":240805,"residue":28},{"from_index":639,"to_index":1215,"sum":266116,"residue":312},{"from_index":1215,"to_index":63,"sum":236985,"residue":523}],"minimal_cycle":[28,312,523],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[63,639],"circle_positions":863,"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":[64,640,1216],"clock_positions":[64,640,1216],"native_values":[371,436,56],"rotation_degrees":13.333333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,436,56],"beta":{"interval_sums":[240605,266335,236966],"interval_residues":[691,531,504],"display_cycle":[691,531,504],"intervals":[{"from_index":64,"to_index":640,"sum":240605,"residue":691},{"from_index":640,"to_index":1216,"sum":266335,"residue":531},{"from_index":1216,"to_index":64,"sum":236966,"residue":504}],"minimal_cycle":[691,531,504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":691,"start_interval_clock_positions":[64,640],"circle_positions":863,"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":[65,641,1217],"clock_positions":[65,641,1217],"native_values":[408,607,711],"rotation_degrees":13.541666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,607,711],"beta":{"interval_sums":[240633,265784,236626],"interval_residues":[719,843,164],"display_cycle":[719,843,164],"intervals":[{"from_index":65,"to_index":641,"sum":240633,"residue":719},{"from_index":641,"to_index":1217,"sum":265784,"residue":843},{"from_index":1217,"to_index":65,"sum":236626,"residue":164}],"minimal_cycle":[719,843,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":719,"start_interval_clock_positions":[65,641],"circle_positions":863,"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":[66,642,1218],"clock_positions":[66,642,1218],"native_values":[779,180,767],"rotation_degrees":13.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[779,180,767],"beta":{"interval_sums":[240461,266315,236267],"interval_residues":[547,511,668],"display_cycle":[547,511,668],"intervals":[{"from_index":66,"to_index":642,"sum":240461,"residue":547},{"from_index":642,"to_index":1218,"sum":266315,"residue":511},{"from_index":1218,"to_index":66,"sum":236267,"residue":668}],"minimal_cycle":[547,511,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":547,"start_interval_clock_positions":[66,642],"circle_positions":863,"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":[67,643,1219],"clock_positions":[67,643,1219],"native_values":[324,787,615],"rotation_degrees":13.958333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,787,615],"beta":{"interval_sums":[240317,266295,236431],"interval_residues":[403,491,832],"display_cycle":[403,491,832],"intervals":[{"from_index":67,"to_index":643,"sum":240317,"residue":403},{"from_index":643,"to_index":1219,"sum":266295,"residue":491},{"from_index":1219,"to_index":67,"sum":236431,"residue":832}],"minimal_cycle":[403,491,832],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[67,643],"circle_positions":863,"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":[68,644,1220],"clock_positions":[68,644,1220],"native_values":[240,104,519],"rotation_degrees":14.166666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,104,519],"beta":{"interval_sums":[240864,266806,236236],"interval_residues":[87,139,637],"display_cycle":[87,139,637],"intervals":[{"from_index":68,"to_index":644,"sum":240864,"residue":87},{"from_index":644,"to_index":1220,"sum":266806,"residue":139},{"from_index":1220,"to_index":68,"sum":236236,"residue":637}],"minimal_cycle":[87,139,637],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[68,644],"circle_positions":863,"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":[69,645,1221],"clock_positions":[69,645,1221],"native_values":[564,28,271],"rotation_degrees":14.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,28,271],"beta":{"interval_sums":[240404,267297,236205],"interval_residues":[490,630,606],"display_cycle":[490,630,606],"intervals":[{"from_index":69,"to_index":645,"sum":240404,"residue":490},{"from_index":645,"to_index":1221,"sum":267297,"residue":630},{"from_index":1221,"to_index":69,"sum":236205,"residue":606}],"minimal_cycle":[490,630,606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[69,645],"circle_positions":863,"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":[70,646,1222],"clock_positions":[70,646,1222],"native_values":[804,132,790],"rotation_degrees":14.583333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[804,132,790],"beta":{"interval_sums":[239628,267436,235979],"interval_residues":[577,769,380],"display_cycle":[577,769,380],"intervals":[{"from_index":70,"to_index":646,"sum":239628,"residue":577},{"from_index":646,"to_index":1222,"sum":267436,"residue":769},{"from_index":1222,"to_index":70,"sum":235979,"residue":380}],"minimal_cycle":[577,769,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[70,646],"circle_positions":863,"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":[71,647,1223],"clock_positions":[71,647,1223],"native_values":[505,160,198],"rotation_degrees":14.791666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,160,198],"beta":{"interval_sums":[239255,268066,236585],"interval_residues":[204,536,123],"display_cycle":[204,536,123],"intervals":[{"from_index":71,"to_index":647,"sum":239255,"residue":204},{"from_index":647,"to_index":1223,"sum":268066,"residue":536},{"from_index":1223,"to_index":71,"sum":236585,"residue":123}],"minimal_cycle":[204,536,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[71,647],"circle_positions":863,"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":[72,648,1224],"clock_positions":[72,648,1224],"native_values":[446,292,125],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,292,125],"beta":{"interval_sums":[238969,267972,236965],"interval_residues":[781,442,503],"display_cycle":[781,442,503],"intervals":[{"from_index":72,"to_index":648,"sum":238969,"residue":781},{"from_index":648,"to_index":1224,"sum":267972,"residue":442},{"from_index":1224,"to_index":72,"sum":236965,"residue":503}],"minimal_cycle":[781,442,503],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":781,"start_interval_clock_positions":[72,648],"circle_positions":863,"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":[73,649,1225],"clock_positions":[73,649,1225],"native_values":[88,452,323],"rotation_degrees":15.208333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,452,323],"beta":{"interval_sums":[239173,267645,237088],"interval_residues":[122,115,626],"display_cycle":[122,115,626],"intervals":[{"from_index":73,"to_index":649,"sum":239173,"residue":122},{"from_index":649,"to_index":1225,"sum":267645,"residue":115},{"from_index":1225,"to_index":73,"sum":237088,"residue":626}],"minimal_cycle":[122,115,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[73,649],"circle_positions":863,"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":[74,650,1226],"clock_positions":[74,650,1226],"native_values":[534,744,448],"rotation_degrees":15.416666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[534,744,448],"beta":{"interval_sums":[239091,267224,236728],"interval_residues":[40,557,266],"display_cycle":[40,557,266],"intervals":[{"from_index":74,"to_index":650,"sum":239091,"residue":40},{"from_index":650,"to_index":1226,"sum":267224,"residue":557},{"from_index":1226,"to_index":74,"sum":236728,"residue":266}],"minimal_cycle":[40,557,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[74,650],"circle_positions":863,"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":[75,651,1227],"clock_positions":[75,651,1227],"native_values":[622,333,771],"rotation_degrees":15.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,333,771],"beta":{"interval_sums":[239213,267339,236491],"interval_residues":[162,672,29],"display_cycle":[162,672,29],"intervals":[{"from_index":75,"to_index":651,"sum":239213,"residue":162},{"from_index":651,"to_index":1227,"sum":267339,"residue":672},{"from_index":1227,"to_index":75,"sum":236491,"residue":29}],"minimal_cycle":[162,672,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[75,651],"circle_positions":863,"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":[76,652,1228],"clock_positions":[76,652,1228],"native_values":[293,214,356],"rotation_degrees":15.833333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,214,356],"beta":{"interval_sums":[239253,267896,236757],"interval_residues":[202,366,295],"display_cycle":[202,366,295],"intervals":[{"from_index":76,"to_index":652,"sum":239253,"residue":202},{"from_index":652,"to_index":1228,"sum":267896,"residue":366},{"from_index":1228,"to_index":76,"sum":236757,"residue":295}],"minimal_cycle":[202,366,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[76,652],"circle_positions":863,"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":[77,653,1229],"clock_positions":[77,653,1229],"native_values":[52,547,264],"rotation_degrees":16.041666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,547,264],"beta":{"interval_sums":[239415,267705,236786],"interval_residues":[364,175,324],"display_cycle":[364,175,324],"intervals":[{"from_index":77,"to_index":653,"sum":239415,"residue":364},{"from_index":653,"to_index":1229,"sum":267705,"residue":175},{"from_index":1229,"to_index":77,"sum":236786,"residue":324}],"minimal_cycle":[364,175,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[77,653],"circle_positions":863,"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":[78,654,1230],"clock_positions":[78,654,1230],"native_values":[345,761,620],"rotation_degrees":16.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,761,620],"beta":{"interval_sums":[239617,267208,236218],"interval_residues":[566,541,619],"display_cycle":[566,541,619],"intervals":[{"from_index":78,"to_index":654,"sum":239617,"residue":566},{"from_index":654,"to_index":1230,"sum":267208,"residue":541},{"from_index":1230,"to_index":78,"sum":236218,"residue":619}],"minimal_cycle":[566,541,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[78,654],"circle_positions":863,"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":[79,655,1231],"clock_positions":[79,655,1231],"native_values":[397,445,21],"rotation_degrees":16.458333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,445,21],"beta":{"interval_sums":[239981,267383,236542],"interval_residues":[67,716,80],"display_cycle":[67,716,80],"intervals":[{"from_index":79,"to_index":655,"sum":239981,"residue":67},{"from_index":655,"to_index":1231,"sum":267383,"residue":716},{"from_index":1231,"to_index":79,"sum":236542,"residue":80}],"minimal_cycle":[67,716,80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[79,655],"circle_positions":863,"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":[80,656,1232],"clock_positions":[80,656,1232],"native_values":[742,343,641],"rotation_degrees":16.666666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[742,343,641],"beta":{"interval_sums":[239684,267061,236298],"interval_residues":[633,394,699],"display_cycle":[633,394,699],"intervals":[{"from_index":80,"to_index":656,"sum":239684,"residue":633},{"from_index":656,"to_index":1232,"sum":267061,"residue":394},{"from_index":1232,"to_index":80,"sum":236298,"residue":699}],"minimal_cycle":[633,394,699],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":633,"start_interval_clock_positions":[80,656],"circle_positions":863,"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":[81,657,1233],"clock_positions":[81,657,1233],"native_values":[276,788,662],"rotation_degrees":16.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,788,662],"beta":{"interval_sums":[239751,266914,236378],"interval_residues":[700,247,779],"display_cycle":[700,247,779],"intervals":[{"from_index":81,"to_index":657,"sum":239751,"residue":700},{"from_index":657,"to_index":1233,"sum":266914,"residue":247},{"from_index":1233,"to_index":81,"sum":236378,"residue":779}],"minimal_cycle":[700,247,779],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[81,657],"circle_positions":863,"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":[82,658,1234],"clock_positions":[82,658,1234],"native_values":[155,268,440],"rotation_degrees":17.083333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,268,440],"beta":{"interval_sums":[240384,267308,236214],"interval_residues":[470,641,615],"display_cycle":[470,641,615],"intervals":[{"from_index":82,"to_index":658,"sum":240384,"residue":470},{"from_index":658,"to_index":1234,"sum":267308,"residue":641},{"from_index":1234,"to_index":82,"sum":236214,"residue":615}],"minimal_cycle":[470,641,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[82,658],"circle_positions":863,"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":[83,659,1235],"clock_positions":[83,659,1235],"native_values":[431,193,239],"rotation_degrees":17.291666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,193,239],"beta":{"interval_sums":[240221,267555,236130],"interval_residues":[307,25,531],"display_cycle":[307,25,531],"intervals":[{"from_index":83,"to_index":659,"sum":240221,"residue":307},{"from_index":659,"to_index":1235,"sum":267555,"residue":25},{"from_index":1235,"to_index":83,"sum":236130,"residue":531}],"minimal_cycle":[307,25,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[83,659],"circle_positions":863,"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":[84,660,1236],"clock_positions":[84,660,1236],"native_values":[586,461,679],"rotation_degrees":17.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,461,679],"beta":{"interval_sums":[239828,267333,235882],"interval_residues":[777,666,283],"display_cycle":[777,666,283],"intervals":[{"from_index":84,"to_index":660,"sum":239828,"residue":777},{"from_index":660,"to_index":1236,"sum":267333,"residue":666},{"from_index":1236,"to_index":84,"sum":235882,"residue":283}],"minimal_cycle":[777,666,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":777,"start_interval_clock_positions":[84,660],"circle_positions":863,"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":[85,661,1237],"clock_positions":[85,661,1237],"native_values":[154,654,55],"rotation_degrees":17.708333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[154,654,55],"beta":{"interval_sums":[240135,267358,236413],"interval_residues":[221,691,814],"display_cycle":[221,691,814],"intervals":[{"from_index":85,"to_index":661,"sum":240135,"residue":221},{"from_index":661,"to_index":1237,"sum":267358,"residue":691},{"from_index":1237,"to_index":85,"sum":236413,"residue":814}],"minimal_cycle":[221,691,814],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[85,661],"circle_positions":863,"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":[86,662,1238],"clock_positions":[86,662,1238],"native_values":[740,252,734],"rotation_degrees":17.916666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[740,252,734],"beta":{"interval_sums":[240049,267161,235833],"interval_residues":[135,494,234],"display_cycle":[135,494,234],"intervals":[{"from_index":86,"to_index":662,"sum":240049,"residue":135},{"from_index":662,"to_index":1238,"sum":267161,"residue":494},{"from_index":1238,"to_index":86,"sum":235833,"residue":234}],"minimal_cycle":[135,494,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[86,662],"circle_positions":863,"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":[87,663,1239],"clock_positions":[87,663,1239],"native_values":[31,43,789],"rotation_degrees":18.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,43,789],"beta":{"interval_sums":[240270,267852,235784],"interval_residues":[356,322,185],"display_cycle":[356,322,185],"intervals":[{"from_index":87,"to_index":663,"sum":240270,"residue":356},{"from_index":663,"to_index":1239,"sum":267852,"residue":322},{"from_index":1239,"to_index":87,"sum":235784,"residue":185}],"minimal_cycle":[356,322,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[87,663],"circle_positions":863,"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":[88,664,1240],"clock_positions":[88,664,1240],"native_values":[771,295,660],"rotation_degrees":18.333333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,295,660],"beta":{"interval_sums":[239542,268346,235155],"interval_residues":[491,816,419],"display_cycle":[491,816,419],"intervals":[{"from_index":88,"to_index":664,"sum":239542,"residue":491},{"from_index":664,"to_index":1240,"sum":268346,"residue":816},{"from_index":1240,"to_index":88,"sum":235155,"residue":419}],"minimal_cycle":[491,816,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[88,664],"circle_positions":863,"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":[89,665,1241],"clock_positions":[89,665,1241],"native_values":[802,338,586],"rotation_degrees":18.541666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[802,338,586],"beta":{"interval_sums":[239035,268668,235340],"interval_residues":[847,275,604],"display_cycle":[847,275,604],"intervals":[{"from_index":89,"to_index":665,"sum":239035,"residue":847},{"from_index":665,"to_index":1241,"sum":268668,"residue":275},{"from_index":1241,"to_index":89,"sum":235340,"residue":604}],"minimal_cycle":[847,275,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":847,"start_interval_clock_positions":[89,665],"circle_positions":863,"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":[90,666,1242],"clock_positions":[90,666,1242],"native_values":[710,633,383],"rotation_degrees":18.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,633,383],"beta":{"interval_sums":[238663,268621,235759],"interval_residues":[475,228,160],"display_cycle":[475,228,160],"intervals":[{"from_index":90,"to_index":666,"sum":238663,"residue":475},{"from_index":666,"to_index":1242,"sum":268621,"residue":228},{"from_index":1242,"to_index":90,"sum":235759,"residue":160}],"minimal_cycle":[475,228,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[90,666],"circle_positions":863,"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":[91,667,1243],"clock_positions":[91,667,1243],"native_values":[649,108,106],"rotation_degrees":18.958333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[649,108,106],"beta":{"interval_sums":[238647,268896,236363],"interval_residues":[459,503,764],"display_cycle":[459,503,764],"intervals":[{"from_index":91,"to_index":667,"sum":238647,"residue":459},{"from_index":667,"to_index":1243,"sum":268896,"residue":503},{"from_index":1243,"to_index":91,"sum":236363,"residue":764}],"minimal_cycle":[459,503,764],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":459,"start_interval_clock_positions":[91,667],"circle_positions":863,"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":[92,668,1244],"clock_positions":[92,668,1244],"native_values":[496,741,489],"rotation_degrees":19.166666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,741,489],"beta":{"interval_sums":[238259,268261,236523],"interval_residues":[71,731,61],"display_cycle":[71,731,61],"intervals":[{"from_index":92,"to_index":668,"sum":238259,"residue":71},{"from_index":668,"to_index":1244,"sum":268261,"residue":731},{"from_index":1244,"to_index":92,"sum":236523,"residue":61}],"minimal_cycle":[71,731,61],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[92,668],"circle_positions":863,"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":[93,669,1245],"clock_positions":[93,669,1245],"native_values":[282,849,595],"rotation_degrees":19.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,849,595],"beta":{"interval_sums":[238718,267901,236424],"interval_residues":[530,371,825],"display_cycle":[530,371,825],"intervals":[{"from_index":93,"to_index":669,"sum":238718,"residue":530},{"from_index":669,"to_index":1245,"sum":267901,"residue":371},{"from_index":1245,"to_index":93,"sum":236424,"residue":825}],"minimal_cycle":[530,371,825],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[93,669],"circle_positions":863,"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":[94,670,1246],"clock_positions":[94,670,1246],"native_values":[778,727,221],"rotation_degrees":19.583333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[778,727,221],"beta":{"interval_sums":[238789,267769,236485],"interval_residues":[601,239,23],"display_cycle":[601,239,23],"intervals":[{"from_index":94,"to_index":670,"sum":238789,"residue":601},{"from_index":670,"to_index":1246,"sum":267769,"residue":239},{"from_index":1246,"to_index":94,"sum":236485,"residue":23}],"minimal_cycle":[601,239,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[94,670],"circle_positions":863,"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":[95,671,1247],"clock_positions":[95,671,1247],"native_values":[197,713,816],"rotation_degrees":19.791666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,713,816],"beta":{"interval_sums":[239319,267277,236447],"interval_residues":[268,610,848],"display_cycle":[268,610,848],"intervals":[{"from_index":95,"to_index":671,"sum":239319,"residue":268},{"from_index":671,"to_index":1247,"sum":267277,"residue":610},{"from_index":1247,"to_index":95,"sum":236447,"residue":848}],"minimal_cycle":[268,610,848],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[95,671],"circle_positions":863,"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":[96,672,1248],"clock_positions":[96,672,1248],"native_values":[112,577,174],"rotation_degrees":20.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,577,174],"beta":{"interval_sums":[239920,267516,236470],"interval_residues":[6,849,8],"display_cycle":[6,849,8],"intervals":[{"from_index":96,"to_index":672,"sum":239920,"residue":6},{"from_index":672,"to_index":1248,"sum":267516,"residue":849},{"from_index":1248,"to_index":96,"sum":236470,"residue":8}],"minimal_cycle":[6,849,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[96,672],"circle_positions":863,"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":[97,673,1249],"clock_positions":[97,673,1249],"native_values":[309,427,127],"rotation_degrees":20.208333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,427,127],"beta":{"interval_sums":[240188,267263,236455],"interval_residues":[274,596,856],"display_cycle":[274,596,856],"intervals":[{"from_index":97,"to_index":673,"sum":240188,"residue":274},{"from_index":673,"to_index":1249,"sum":267263,"residue":596},{"from_index":1249,"to_index":97,"sum":236455,"residue":856}],"minimal_cycle":[274,596,856],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[97,673],"circle_positions":863,"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":[98,674,1250],"clock_positions":[98,674,1250],"native_values":[421,141,301],"rotation_degrees":20.416666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,141,301],"beta":{"interval_sums":[240194,267249,236463],"interval_residues":[280,582,1],"display_cycle":[280,582,1],"intervals":[{"from_index":98,"to_index":674,"sum":240194,"residue":280},{"from_index":674,"to_index":1250,"sum":267249,"residue":582},{"from_index":1250,"to_index":98,"sum":236463,"residue":1}],"minimal_cycle":[280,582,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[98,674],"circle_positions":863,"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":[99,675,1251],"clock_positions":[99,675,1251],"native_values":[730,568,428],"rotation_degrees":20.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,568,428],"beta":{"interval_sums":[239605,266982,236456],"interval_residues":[554,315,857],"display_cycle":[554,315,857],"intervals":[{"from_index":99,"to_index":675,"sum":239605,"residue":554},{"from_index":675,"to_index":1251,"sum":266982,"residue":315},{"from_index":1251,"to_index":99,"sum":236456,"residue":857}],"minimal_cycle":[554,315,857],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[99,675],"circle_positions":863,"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":[100,676,1252],"clock_positions":[100,676,1252],"native_values":[288,709,729],"rotation_degrees":20.833333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,709,729],"beta":{"interval_sums":[239885,266701,236457],"interval_residues":[834,34,858],"display_cycle":[834,34,858],"intervals":[{"from_index":100,"to_index":676,"sum":239885,"residue":834},{"from_index":676,"to_index":1252,"sum":266701,"residue":34},{"from_index":1252,"to_index":100,"sum":236457,"residue":858}],"minimal_cycle":[834,34,858],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":834,"start_interval_clock_positions":[100,676],"circle_positions":863,"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":[101,677,1253],"clock_positions":[101,677,1253],"native_values":[155,414,294],"rotation_degrees":21.041666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,414,294],"beta":{"interval_sums":[240439,267016,236451],"interval_residues":[525,349,852],"display_cycle":[525,349,852],"intervals":[{"from_index":101,"to_index":677,"sum":240439,"residue":525},{"from_index":677,"to_index":1253,"sum":267016,"residue":349},{"from_index":1253,"to_index":101,"sum":236451,"residue":852}],"minimal_cycle":[525,349,852],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[101,677],"circle_positions":863,"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":[102,678,1254],"clock_positions":[102,678,1254],"native_values":[443,260,160],"rotation_degrees":21.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,260,160],"beta":{"interval_sums":[240410,267050,236446],"interval_residues":[496,383,847],"display_cycle":[496,383,847],"intervals":[{"from_index":102,"to_index":678,"sum":240410,"residue":496},{"from_index":678,"to_index":1254,"sum":267050,"residue":383},{"from_index":1254,"to_index":102,"sum":236446,"residue":847}],"minimal_cycle":[496,383,847],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[102,678],"circle_positions":863,"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":[103,679,1255],"clock_positions":[103,679,1255],"native_values":[598,674,454],"rotation_degrees":21.458333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,674,454],"beta":{"interval_sums":[240072,266536,236435],"interval_residues":[158,732,836],"display_cycle":[158,732,836],"intervals":[{"from_index":103,"to_index":679,"sum":240072,"residue":158},{"from_index":679,"to_index":1255,"sum":266536,"residue":732},{"from_index":1255,"to_index":103,"sum":236435,"residue":836}],"minimal_cycle":[158,732,836],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[103,679],"circle_positions":863,"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":[104,680,1256],"clock_positions":[104,680,1256],"native_values":[178,71,614],"rotation_degrees":21.666666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,71,614],"beta":{"interval_sums":[240568,266919,236419],"interval_residues":[654,252,820],"display_cycle":[654,252,820],"intervals":[{"from_index":104,"to_index":680,"sum":240568,"residue":654},{"from_index":680,"to_index":1256,"sum":266919,"residue":252},{"from_index":1256,"to_index":104,"sum":236419,"residue":820}],"minimal_cycle":[654,252,820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[104,680],"circle_positions":863,"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":[105,681,1257],"clock_positions":[105,681,1257],"native_values":[776,745,205],"rotation_degrees":21.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[776,745,205],"beta":{"interval_sums":[239863,266788,236392],"interval_residues":[812,121,793],"display_cycle":[812,121,793],"intervals":[{"from_index":105,"to_index":681,"sum":239863,"residue":812},{"from_index":681,"to_index":1257,"sum":266788,"residue":121},{"from_index":1257,"to_index":105,"sum":236392,"residue":793}],"minimal_cycle":[812,121,793],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":812,"start_interval_clock_positions":[105,681],"circle_positions":863,"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":[106,682,1258],"clock_positions":[106,682,1258],"native_values":[91,816,819],"rotation_degrees":22.083333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,816,819],"beta":{"interval_sums":[240517,266177,236349],"interval_residues":[603,373,750],"display_cycle":[603,373,750],"intervals":[{"from_index":106,"to_index":682,"sum":240517,"residue":603},{"from_index":682,"to_index":1258,"sum":266177,"residue":373},{"from_index":1258,"to_index":106,"sum":236349,"residue":750}],"minimal_cycle":[603,373,750],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[106,682],"circle_positions":863,"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":[107,683,1259],"clock_positions":[107,683,1259],"native_values":[4,698,161],"rotation_degrees":22.291666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,698,161],"beta":{"interval_sums":[241329,266298,236279],"interval_residues":[552,494,680],"display_cycle":[552,494,680],"intervals":[{"from_index":107,"to_index":683,"sum":241329,"residue":552},{"from_index":683,"to_index":1259,"sum":266298,"residue":494},{"from_index":1259,"to_index":107,"sum":236279,"residue":680}],"minimal_cycle":[552,494,680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[107,683],"circle_positions":863,"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":[108,684,1260],"clock_positions":[108,684,1260],"native_values":[95,651,117],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,651,117],"beta":{"interval_sums":[241932,265808,236166],"interval_residues":[292,4,567],"display_cycle":[292,4,567],"intervals":[{"from_index":108,"to_index":684,"sum":241932,"residue":292},{"from_index":684,"to_index":1260,"sum":265808,"residue":4},{"from_index":1260,"to_index":108,"sum":236166,"residue":567}],"minimal_cycle":[292,4,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[108,684],"circle_positions":863,"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":[109,685,1261],"clock_positions":[109,685,1261],"native_values":[99,486,278],"rotation_degrees":22.708333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,486,278],"beta":{"interval_sums":[242484,265439,235983],"interval_residues":[844,498,384],"display_cycle":[844,498,384],"intervals":[{"from_index":109,"to_index":685,"sum":242484,"residue":844},{"from_index":685,"to_index":1261,"sum":265439,"residue":498},{"from_index":1261,"to_index":109,"sum":235983,"residue":384}],"minimal_cycle":[844,498,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":844,"start_interval_clock_positions":[109,685],"circle_positions":863,"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":[110,686,1262],"clock_positions":[110,686,1262],"native_values":[194,274,395],"rotation_degrees":22.916666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,274,395],"beta":{"interval_sums":[242776,265443,235687],"interval_residues":[273,502,88],"display_cycle":[273,502,88],"intervals":[{"from_index":110,"to_index":686,"sum":242776,"residue":273},{"from_index":686,"to_index":1262,"sum":265443,"residue":502},{"from_index":1262,"to_index":110,"sum":235687,"residue":88}],"minimal_cycle":[273,502,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[110,686],"circle_positions":863,"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":[111,687,1263],"clock_positions":[111,687,1263],"native_values":[293,760,673],"rotation_degrees":23.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,760,673],"beta":{"interval_sums":[242757,265078,235208],"interval_residues":[254,137,472],"display_cycle":[254,137,472],"intervals":[{"from_index":111,"to_index":687,"sum":242757,"residue":254},{"from_index":687,"to_index":1263,"sum":265078,"residue":137},{"from_index":1263,"to_index":111,"sum":235208,"residue":472}],"minimal_cycle":[254,137,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[111,687],"circle_positions":863,"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":[112,688,1264],"clock_positions":[112,688,1264],"native_values":[487,171,205],"rotation_degrees":23.333333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,171,205],"beta":{"interval_sums":[243030,265580,235296],"interval_residues":[527,639,560],"display_cycle":[527,639,560],"intervals":[{"from_index":112,"to_index":688,"sum":243030,"residue":527},{"from_index":688,"to_index":1264,"sum":265580,"residue":639},{"from_index":1264,"to_index":112,"sum":235296,"residue":560}],"minimal_cycle":[527,639,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":527,"start_interval_clock_positions":[112,688],"circle_positions":863,"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":[113,689,1265],"clock_positions":[113,689,1265],"native_values":[780,68,15],"rotation_degrees":23.541666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[780,68,15],"beta":{"interval_sums":[242421,265717,235768],"interval_residues":[781,776,169],"display_cycle":[781,776,169],"intervals":[{"from_index":113,"to_index":689,"sum":242421,"residue":781},{"from_index":689,"to_index":1265,"sum":265717,"residue":776},{"from_index":1265,"to_index":113,"sum":235768,"residue":169}],"minimal_cycle":[781,776,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":781,"start_interval_clock_positions":[113,689],"circle_positions":863,"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":[114,690,1266],"clock_positions":[114,690,1266],"native_values":[404,239,220],"rotation_degrees":23.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,239,220],"beta":{"interval_sums":[242085,265493,236328],"interval_residues":[445,552,729],"display_cycle":[445,552,729],"intervals":[{"from_index":114,"to_index":690,"sum":242085,"residue":445},{"from_index":690,"to_index":1266,"sum":265493,"residue":552},{"from_index":1266,"to_index":114,"sum":236328,"residue":729}],"minimal_cycle":[445,552,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":445,"start_interval_clock_positions":[114,690],"circle_positions":863,"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":[115,691,1267],"clock_positions":[115,691,1267],"native_values":[321,307,235],"rotation_degrees":23.958333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,307,235],"beta":{"interval_sums":[242003,265406,236497],"interval_residues":[363,465,35],"display_cycle":[363,465,35],"intervals":[{"from_index":115,"to_index":691,"sum":242003,"residue":363},{"from_index":691,"to_index":1267,"sum":265406,"residue":465},{"from_index":1267,"to_index":115,"sum":236497,"residue":35}],"minimal_cycle":[363,465,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[115,691],"circle_positions":863,"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":[116,692,1268],"clock_positions":[116,692,1268],"native_values":[725,546,455],"rotation_degrees":24.166666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,546,455],"beta":{"interval_sums":[241585,265095,236363],"interval_residues":[808,154,764],"display_cycle":[808,154,764],"intervals":[{"from_index":116,"to_index":692,"sum":241585,"residue":808},{"from_index":692,"to_index":1268,"sum":265095,"residue":154},{"from_index":1268,"to_index":116,"sum":236363,"residue":764}],"minimal_cycle":[808,154,764],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":808,"start_interval_clock_positions":[116,692],"circle_positions":863,"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":[117,693,1269],"clock_positions":[117,693,1269],"native_values":[183,853,690],"rotation_degrees":24.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,853,690],"beta":{"interval_sums":[241948,264697,236398],"interval_residues":[308,619,799],"display_cycle":[308,619,799],"intervals":[{"from_index":117,"to_index":693,"sum":241948,"residue":308},{"from_index":693,"to_index":1269,"sum":264697,"residue":619},{"from_index":1269,"to_index":117,"sum":236398,"residue":799}],"minimal_cycle":[308,619,799],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[117,693],"circle_positions":863,"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":[118,694,1270],"clock_positions":[118,694,1270],"native_values":[45,536,282],"rotation_degrees":24.583333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,536,282],"beta":{"interval_sums":[242756,264851,236299],"interval_residues":[253,773,700],"display_cycle":[253,773,700],"intervals":[{"from_index":118,"to_index":694,"sum":242756,"residue":253},{"from_index":694,"to_index":1270,"sum":264851,"residue":773},{"from_index":1270,"to_index":118,"sum":236299,"residue":700}],"minimal_cycle":[253,773,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[118,694],"circle_positions":863,"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":[119,695,1271],"clock_positions":[119,695,1271],"native_values":[228,526,109],"rotation_degrees":24.791666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[228,526,109],"beta":{"interval_sums":[243064,264607,236235],"interval_residues":[561,529,636],"display_cycle":[561,529,636],"intervals":[{"from_index":119,"to_index":695,"sum":243064,"residue":561},{"from_index":695,"to_index":1271,"sum":264607,"residue":529},{"from_index":1271,"to_index":119,"sum":236235,"residue":636}],"minimal_cycle":[561,529,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[119,695],"circle_positions":863,"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":[120,696,1272],"clock_positions":[120,696,1272],"native_values":[273,199,391],"rotation_degrees":25.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,199,391],"beta":{"interval_sums":[243317,264517,236072],"interval_residues":[814,439,473],"display_cycle":[814,439,473],"intervals":[{"from_index":120,"to_index":696,"sum":243317,"residue":814},{"from_index":696,"to_index":1272,"sum":264517,"residue":439},{"from_index":1272,"to_index":120,"sum":236072,"residue":473}],"minimal_cycle":[814,439,473],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[120,696],"circle_positions":863,"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":[121,697,1273],"clock_positions":[121,697,1273],"native_values":[501,725,500],"rotation_degrees":25.208333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,725,500],"beta":{"interval_sums":[243015,264183,235845],"interval_residues":[512,105,246],"display_cycle":[512,105,246],"intervals":[{"from_index":121,"to_index":697,"sum":243015,"residue":512},{"from_index":697,"to_index":1273,"sum":264183,"residue":105},{"from_index":1273,"to_index":121,"sum":235845,"residue":246}],"minimal_cycle":[512,105,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[121,697],"circle_positions":863,"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":[122,698,1274],"clock_positions":[122,698,1274],"native_values":[774,61,28],"rotation_degrees":25.416666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[774,61,28],"beta":{"interval_sums":[242966,264622,236318],"interval_residues":[463,544,719],"display_cycle":[463,544,719],"intervals":[{"from_index":122,"to_index":698,"sum":242966,"residue":463},{"from_index":698,"to_index":1274,"sum":264622,"residue":544},{"from_index":1274,"to_index":122,"sum":236318,"residue":719}],"minimal_cycle":[463,544,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":463,"start_interval_clock_positions":[122,698],"circle_positions":863,"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":[123,699,1275],"clock_positions":[123,699,1275],"native_values":[412,786,528],"rotation_degrees":25.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,786,528],"beta":{"interval_sums":[242615,263864,236564],"interval_residues":[112,649,102],"display_cycle":[112,649,102],"intervals":[{"from_index":123,"to_index":699,"sum":242615,"residue":112},{"from_index":699,"to_index":1275,"sum":263864,"residue":649},{"from_index":1275,"to_index":123,"sum":236564,"residue":102}],"minimal_cycle":[112,649,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[123,699],"circle_positions":863,"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":[124,700,1276],"clock_positions":[124,700,1276],"native_values":[323,847,556],"rotation_degrees":25.833333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,847,556],"beta":{"interval_sums":[243078,263545,236420],"interval_residues":[575,330,821],"display_cycle":[575,330,821],"intervals":[{"from_index":124,"to_index":700,"sum":243078,"residue":575},{"from_index":700,"to_index":1276,"sum":263545,"residue":330},{"from_index":1276,"to_index":124,"sum":236420,"residue":821}],"minimal_cycle":[575,330,821],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[124,700],"circle_positions":863,"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":[125,701,1277],"clock_positions":[125,701,1277],"native_values":[735,770,221],"rotation_degrees":26.041666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[735,770,221],"beta":{"interval_sums":[243190,263331,236522],"interval_residues":[687,116,60],"display_cycle":[687,116,60],"intervals":[{"from_index":125,"to_index":701,"sum":243190,"residue":687},{"from_index":701,"to_index":1277,"sum":263331,"residue":116},{"from_index":1277,"to_index":125,"sum":236522,"residue":60}],"minimal_cycle":[687,116,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":687,"start_interval_clock_positions":[125,701],"circle_positions":863,"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":[126,702,1278],"clock_positions":[126,702,1278],"native_values":[195,754,777],"rotation_degrees":26.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,754,777],"beta":{"interval_sums":[243765,262798,236480],"interval_residues":[399,446,18],"display_cycle":[399,446,18],"intervals":[{"from_index":126,"to_index":702,"sum":243765,"residue":399},{"from_index":702,"to_index":1278,"sum":262798,"residue":446},{"from_index":1278,"to_index":126,"sum":236480,"residue":18}],"minimal_cycle":[399,446,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":399,"start_interval_clock_positions":[126,702],"circle_positions":863,"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":[127,703,1279],"clock_positions":[127,703,1279],"native_values":[67,661,135],"rotation_degrees":26.458333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,661,135],"beta":{"interval_sums":[244452,262914,236540],"interval_residues":[223,562,78],"display_cycle":[223,562,78],"intervals":[{"from_index":127,"to_index":703,"sum":244452,"residue":223},{"from_index":703,"to_index":1279,"sum":262914,"residue":562},{"from_index":1279,"to_index":127,"sum":236540,"residue":78}],"minimal_cycle":[223,562,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[127,703],"circle_positions":863,"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":[128,704,1280],"clock_positions":[128,704,1280],"native_values":[262,552,49],"rotation_degrees":26.666666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,552,49],"beta":{"interval_sums":[244851,262497,236558],"interval_residues":[622,145,96],"display_cycle":[622,145,96],"intervals":[{"from_index":128,"to_index":704,"sum":244851,"residue":622},{"from_index":704,"to_index":1280,"sum":262497,"residue":145},{"from_index":1280,"to_index":128,"sum":236558,"residue":96}],"minimal_cycle":[622,145,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[128,704],"circle_positions":863,"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":[129,705,1281],"clock_positions":[129,705,1281],"native_values":[329,350,184],"rotation_degrees":26.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,350,184],"beta":{"interval_sums":[245074,262196,236636],"interval_residues":[845,707,174],"display_cycle":[845,707,174],"intervals":[{"from_index":129,"to_index":705,"sum":245074,"residue":845},{"from_index":705,"to_index":1281,"sum":262196,"residue":707},{"from_index":1281,"to_index":129,"sum":236636,"residue":174}],"minimal_cycle":[845,707,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":845,"start_interval_clock_positions":[129,705],"circle_positions":863,"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":[130,706,1282],"clock_positions":[130,706,1282],"native_values":[591,39,233],"rotation_degrees":27.083333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,39,233],"beta":{"interval_sums":[244833,262341,236732],"interval_residues":[604,852,270],"display_cycle":[604,852,270],"intervals":[{"from_index":130,"to_index":706,"sum":244833,"residue":604},{"from_index":706,"to_index":1282,"sum":262341,"residue":852},{"from_index":1282,"to_index":130,"sum":236732,"residue":270}],"minimal_cycle":[604,852,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[130,706],"circle_positions":863,"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":[131,707,1283],"clock_positions":[131,707,1283],"native_values":[57,389,417],"rotation_degrees":27.291666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,389,417],"beta":{"interval_sums":[244815,262185,236906],"interval_residues":[586,696,444],"display_cycle":[586,696,444],"intervals":[{"from_index":131,"to_index":707,"sum":244815,"residue":586},{"from_index":707,"to_index":1283,"sum":262185,"residue":696},{"from_index":1283,"to_index":131,"sum":236906,"residue":444}],"minimal_cycle":[586,696,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[131,707],"circle_positions":863,"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":[132,708,1284],"clock_positions":[132,708,1284],"native_values":[648,428,650],"rotation_degrees":27.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[648,428,650],"beta":{"interval_sums":[244556,262174,236313],"interval_residues":[327,685,714],"display_cycle":[327,685,714],"intervals":[{"from_index":132,"to_index":708,"sum":244556,"residue":327},{"from_index":708,"to_index":1284,"sum":262174,"residue":685},{"from_index":1284,"to_index":132,"sum":236313,"residue":714}],"minimal_cycle":[327,685,714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[132,708],"circle_positions":863,"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":[133,709,1285],"clock_positions":[133,709,1285],"native_values":[705,817,204],"rotation_degrees":27.708333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,817,204],"beta":{"interval_sums":[244279,262007,236757],"interval_residues":[50,518,295],"display_cycle":[50,518,295],"intervals":[{"from_index":133,"to_index":709,"sum":244279,"residue":50},{"from_index":709,"to_index":1285,"sum":262007,"residue":518},{"from_index":1285,"to_index":133,"sum":236757,"residue":295}],"minimal_cycle":[50,518,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[133,709],"circle_positions":863,"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":[134,710,1286],"clock_positions":[134,710,1286],"native_values":[490,382,854],"rotation_degrees":27.916666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[490,382,854],"beta":{"interval_sums":[244606,261829,236608],"interval_residues":[377,340,146],"display_cycle":[377,340,146],"intervals":[{"from_index":134,"to_index":710,"sum":244606,"residue":377},{"from_index":710,"to_index":1286,"sum":261829,"residue":340},{"from_index":1286,"to_index":134,"sum":236608,"residue":146}],"minimal_cycle":[377,340,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[134,710],"circle_positions":863,"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":[135,711,1287],"clock_positions":[135,711,1287],"native_values":[332,336,195],"rotation_degrees":28.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,336,195],"beta":{"interval_sums":[244656,262347,236903],"interval_residues":[427,858,441],"display_cycle":[427,858,441],"intervals":[{"from_index":135,"to_index":711,"sum":244656,"residue":427},{"from_index":711,"to_index":1287,"sum":262347,"residue":858},{"from_index":1287,"to_index":135,"sum":236903,"residue":441}],"minimal_cycle":[427,858,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[135,711],"circle_positions":863,"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":[136,712,1288],"clock_positions":[136,712,1288],"native_values":[822,718,186],"rotation_degrees":28.333333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[822,718,186],"beta":{"interval_sums":[244170,261824,237049],"interval_residues":[804,335,587],"display_cycle":[804,335,587],"intervals":[{"from_index":136,"to_index":712,"sum":244170,"residue":804},{"from_index":712,"to_index":1288,"sum":261824,"residue":335},{"from_index":1288,"to_index":136,"sum":237049,"residue":587}],"minimal_cycle":[804,335,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[136,712],"circle_positions":863,"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":[137,713,1289],"clock_positions":[137,713,1289],"native_values":[291,191,381],"rotation_degrees":28.541666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,191,381],"beta":{"interval_sums":[244597,261819,237490],"interval_residues":[368,330,165],"display_cycle":[368,330,165],"intervals":[{"from_index":137,"to_index":713,"sum":244597,"residue":368},{"from_index":713,"to_index":1289,"sum":261819,"residue":330},{"from_index":1289,"to_index":137,"sum":237490,"residue":165}],"minimal_cycle":[368,330,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[137,713],"circle_positions":863,"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":[138,714,1290],"clock_positions":[138,714,1290],"native_values":[250,46,567],"rotation_degrees":28.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[250,46,567],"beta":{"interval_sums":[244538,262154,237214],"interval_residues":[309,665,752],"display_cycle":[309,665,752],"intervals":[{"from_index":138,"to_index":714,"sum":244538,"residue":309},{"from_index":714,"to_index":1290,"sum":262154,"residue":665},{"from_index":1290,"to_index":138,"sum":237214,"residue":752}],"minimal_cycle":[309,665,752],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[138,714],"circle_positions":863,"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":[139,715,1291],"clock_positions":[139,715,1291],"native_values":[541,237,85],"rotation_degrees":28.958333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[541,237,85],"beta":{"interval_sums":[244043,262484,237379],"interval_residues":[677,132,54],"display_cycle":[677,132,54],"intervals":[{"from_index":139,"to_index":715,"sum":244043,"residue":677},{"from_index":715,"to_index":1291,"sum":262484,"residue":132},{"from_index":1291,"to_index":139,"sum":237379,"residue":54}],"minimal_cycle":[677,132,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[139,715],"circle_positions":863,"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":[140,716,1292],"clock_positions":[140,716,1292],"native_values":[791,283,652],"rotation_degrees":29.166666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[791,283,652],"beta":{"interval_sums":[243489,262286,237268],"interval_residues":[123,797,806],"display_cycle":[123,797,806],"intervals":[{"from_index":140,"to_index":716,"sum":243489,"residue":123},{"from_index":716,"to_index":1292,"sum":262286,"residue":797},{"from_index":1292,"to_index":140,"sum":237268,"residue":806}],"minimal_cycle":[123,797,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[140,716],"circle_positions":863,"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":[141,717,1293],"clock_positions":[141,717,1293],"native_values":[469,520,737],"rotation_degrees":29.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,520,737],"beta":{"interval_sums":[243303,262418,237322],"interval_residues":[800,66,860],"display_cycle":[800,66,860],"intervals":[{"from_index":141,"to_index":717,"sum":243303,"residue":800},{"from_index":717,"to_index":1293,"sum":262418,"residue":66},{"from_index":1293,"to_index":141,"sum":237322,"residue":860}],"minimal_cycle":[800,66,860],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":800,"start_interval_clock_positions":[141,717],"circle_positions":863,"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":[142,718,1294],"clock_positions":[142,718,1294],"native_values":[397,803,526],"rotation_degrees":29.583333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,803,526],"beta":{"interval_sums":[243426,262352,237265],"interval_residues":[60,0,803],"display_cycle":[60,863,803],"intervals":[{"from_index":142,"to_index":718,"sum":243426,"residue":60},{"from_index":718,"to_index":1294,"sum":262352,"residue":0},{"from_index":1294,"to_index":142,"sum":237265,"residue":803}],"minimal_cycle":[60,0,803],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[142,718],"circle_positions":863,"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":[143,719,1295],"clock_positions":[143,719,1295],"native_values":[3,460,400],"rotation_degrees":29.791666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,460,400],"beta":{"interval_sums":[244226,262418,237262],"interval_residues":[860,66,800],"display_cycle":[860,66,800],"intervals":[{"from_index":143,"to_index":719,"sum":244226,"residue":860},{"from_index":719,"to_index":1295,"sum":262418,"residue":66},{"from_index":1295,"to_index":143,"sum":237262,"residue":800}],"minimal_cycle":[860,66,800],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":860,"start_interval_clock_positions":[143,719],"circle_positions":863,"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":[144,720,1296],"clock_positions":[144,720,1296],"native_values":[400,400,63],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,400,63],"beta":{"interval_sums":[244286,262418,237202],"interval_residues":[57,66,740],"display_cycle":[57,66,740],"intervals":[{"from_index":144,"to_index":720,"sum":244286,"residue":57},{"from_index":720,"to_index":1296,"sum":262418,"residue":66},{"from_index":1296,"to_index":144,"sum":237202,"residue":740}],"minimal_cycle":[57,66,740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[144,720],"circle_positions":863,"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":[145,721,1297],"clock_positions":[145,721,1297],"native_values":[403,860,463],"rotation_degrees":30.208333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,860,463],"beta":{"interval_sums":[244283,261621,237139],"interval_residues":[54,132,677],"display_cycle":[54,132,677],"intervals":[{"from_index":145,"to_index":721,"sum":244283,"residue":54},{"from_index":721,"to_index":1297,"sum":261621,"residue":132},{"from_index":1297,"to_index":145,"sum":237139,"residue":677}],"minimal_cycle":[54,132,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[145,721],"circle_positions":863,"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":[146,722,1298],"clock_positions":[146,722,1298],"native_values":[803,397,526],"rotation_degrees":30.416666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,397,526],"beta":{"interval_sums":[244340,261687,237016],"interval_residues":[111,198,554],"display_cycle":[111,198,554],"intervals":[{"from_index":146,"to_index":722,"sum":244340,"residue":111},{"from_index":722,"to_index":1298,"sum":261687,"residue":198},{"from_index":1298,"to_index":146,"sum":237016,"residue":554}],"minimal_cycle":[111,198,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[146,722],"circle_positions":863,"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":[147,723,1299],"clock_positions":[147,723,1299],"native_values":[343,394,126],"rotation_degrees":30.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,394,126],"beta":{"interval_sums":[244394,261819,237693],"interval_residues":[165,330,368],"display_cycle":[165,330,368],"intervals":[{"from_index":147,"to_index":723,"sum":244394,"residue":165},{"from_index":723,"to_index":1299,"sum":261819,"residue":330},{"from_index":1299,"to_index":147,"sum":237693,"residue":368}],"minimal_cycle":[165,330,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[147,723],"circle_positions":863,"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":[148,724,1300],"clock_positions":[148,724,1300],"native_values":[283,791,652],"rotation_degrees":30.833333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,791,652],"beta":{"interval_sums":[244505,261154,237384],"interval_residues":[276,528,59],"display_cycle":[276,528,59],"intervals":[{"from_index":148,"to_index":724,"sum":244505,"residue":276},{"from_index":724,"to_index":1300,"sum":261154,"residue":528},{"from_index":1300,"to_index":148,"sum":237384,"residue":59}],"minimal_cycle":[276,528,59],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[148,724],"circle_positions":863,"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":[149,725,1301],"clock_positions":[149,725,1301],"native_values":[626,322,778],"rotation_degrees":31.041666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,322,778],"beta":{"interval_sums":[244670,261484,236889],"interval_residues":[441,858,427],"display_cycle":[441,858,427],"intervals":[{"from_index":149,"to_index":725,"sum":244670,"residue":441},{"from_index":725,"to_index":1301,"sum":261484,"residue":858},{"from_index":1301,"to_index":149,"sum":236889,"residue":427}],"minimal_cycle":[441,858,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[149,725],"circle_positions":863,"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":[150,726,1302],"clock_positions":[150,726,1302],"native_values":[46,250,567],"rotation_degrees":31.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,250,567],"beta":{"interval_sums":[244946,262012,236948],"interval_residues":[717,523,486],"display_cycle":[717,523,486],"intervals":[{"from_index":150,"to_index":726,"sum":244946,"residue":717},{"from_index":726,"to_index":1302,"sum":262012,"residue":523},{"from_index":1302,"to_index":150,"sum":236948,"residue":486}],"minimal_cycle":[717,523,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[150,726],"circle_positions":863,"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":[151,727,1303],"clock_positions":[151,727,1303],"native_values":[672,572,482],"rotation_degrees":31.458333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,572,482],"beta":{"interval_sums":[244524,262007,236512],"interval_residues":[295,518,50],"display_cycle":[295,518,50],"intervals":[{"from_index":151,"to_index":727,"sum":244524,"residue":295},{"from_index":727,"to_index":1303,"sum":262007,"residue":518},{"from_index":1303,"to_index":151,"sum":236512,"residue":50}],"minimal_cycle":[295,518,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[151,727],"circle_positions":863,"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":[152,728,1304],"clock_positions":[152,728,1304],"native_values":[718,822,186],"rotation_degrees":31.666666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,822,186],"beta":{"interval_sums":[244378,261667,236998],"interval_residues":[149,178,536],"display_cycle":[149,178,536],"intervals":[{"from_index":152,"to_index":728,"sum":244378,"residue":149},{"from_index":728,"to_index":1304,"sum":261667,"residue":178},{"from_index":1304,"to_index":152,"sum":236998,"residue":536}],"minimal_cycle":[149,178,536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[152,728],"circle_positions":863,"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":[153,729,1305],"clock_positions":[153,729,1305],"native_values":[527,531,668],"rotation_degrees":31.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,531,668],"beta":{"interval_sums":[244673,261322,237048],"interval_residues":[444,696,586],"display_cycle":[444,696,586],"intervals":[{"from_index":153,"to_index":729,"sum":244673,"residue":444},{"from_index":729,"to_index":1305,"sum":261322,"residue":696},{"from_index":1305,"to_index":153,"sum":237048,"residue":586}],"minimal_cycle":[444,696,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[153,729],"circle_positions":863,"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":[154,730,1306],"clock_positions":[154,730,1306],"native_values":[382,490,854],"rotation_degrees":32.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,490,854],"beta":{"interval_sums":[244822,261500,236721],"interval_residues":[593,11,259],"display_cycle":[593,11,259],"intervals":[{"from_index":154,"to_index":730,"sum":244822,"residue":593},{"from_index":730,"to_index":1306,"sum":261500,"residue":11},{"from_index":1306,"to_index":154,"sum":236721,"residue":259}],"minimal_cycle":[593,11,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[154,730],"circle_positions":863,"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":[155,731,1307],"clock_positions":[155,731,1307],"native_values":[46,158,659],"rotation_degrees":32.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,158,659],"beta":{"interval_sums":[245266,262196,236444],"interval_residues":[174,707,845],"display_cycle":[174,707,845],"intervals":[{"from_index":155,"to_index":731,"sum":245266,"residue":174},{"from_index":731,"to_index":1307,"sum":262196,"residue":707},{"from_index":1307,"to_index":155,"sum":236444,"residue":845}],"minimal_cycle":[174,707,845],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[155,731],"circle_positions":863,"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":[156,732,1308],"clock_positions":[156,732,1308],"native_values":[428,648,650],"rotation_degrees":32.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,648,650],"beta":{"interval_sums":[244996,262207,235840],"interval_residues":[767,718,241],"display_cycle":[767,718,241],"intervals":[{"from_index":156,"to_index":732,"sum":244996,"residue":767},{"from_index":732,"to_index":1308,"sum":262207,"residue":718},{"from_index":1308,"to_index":156,"sum":235840,"residue":241}],"minimal_cycle":[767,718,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":767,"start_interval_clock_positions":[156,732],"circle_positions":863,"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":[157,733,1309],"clock_positions":[157,733,1309],"native_values":[474,806,446],"rotation_degrees":32.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,806,446],"beta":{"interval_sums":[245170,262051,235822],"interval_residues":[78,562,223],"display_cycle":[78,562,223],"intervals":[{"from_index":157,"to_index":733,"sum":245170,"residue":78},{"from_index":733,"to_index":1309,"sum":262051,"residue":562},{"from_index":1309,"to_index":157,"sum":235822,"residue":223}],"minimal_cycle":[78,562,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[157,733],"circle_positions":863,"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":[158,734,1310],"clock_positions":[158,734,1310],"native_values":[39,591,233],"rotation_degrees":32.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,591,233],"beta":{"interval_sums":[245937,261906,236063],"interval_residues":[845,417,464],"display_cycle":[845,417,464],"intervals":[{"from_index":158,"to_index":734,"sum":245937,"residue":845},{"from_index":734,"to_index":1310,"sum":261906,"residue":417},{"from_index":1310,"to_index":158,"sum":236063,"residue":464}],"minimal_cycle":[845,417,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":845,"start_interval_clock_positions":[158,734],"circle_positions":863,"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":[159,735,1311],"clock_positions":[159,735,1311],"native_values":[513,534,679],"rotation_degrees":33.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,534,679],"beta":{"interval_sums":[246015,261605,235423],"interval_residues":[60,116,687],"display_cycle":[60,116,687],"intervals":[{"from_index":159,"to_index":735,"sum":246015,"residue":60},{"from_index":735,"to_index":1311,"sum":261605,"residue":116},{"from_index":1311,"to_index":159,"sum":235423,"residue":687}],"minimal_cycle":[60,116,687],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[159,735],"circle_positions":863,"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":[160,736,1312],"clock_positions":[160,736,1312],"native_values":[552,262,49],"rotation_degrees":33.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,262,49],"beta":{"interval_sums":[245997,262022,235887],"interval_residues":[42,533,288],"display_cycle":[42,533,288],"intervals":[{"from_index":160,"to_index":736,"sum":245997,"residue":42},{"from_index":736,"to_index":1312,"sum":262022,"residue":533},{"from_index":1312,"to_index":160,"sum":235887,"residue":288}],"minimal_cycle":[42,533,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[160,736],"circle_positions":863,"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":[161,737,1313],"clock_positions":[161,737,1313],"native_values":[202,796,728],"rotation_degrees":33.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[202,796,728],"beta":{"interval_sums":[246057,261275,235711],"interval_residues":[102,649,112],"display_cycle":[102,649,112],"intervals":[{"from_index":161,"to_index":737,"sum":246057,"residue":102},{"from_index":737,"to_index":1313,"sum":261275,"residue":649},{"from_index":1313,"to_index":161,"sum":235711,"residue":112}],"minimal_cycle":[102,649,112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[161,737],"circle_positions":863,"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":[162,738,1314],"clock_positions":[162,738,1314],"native_values":[754,195,777],"rotation_degrees":33.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[754,195,777],"beta":{"interval_sums":[246099,261808,235136],"interval_residues":[144,319,400],"display_cycle":[144,319,400],"intervals":[{"from_index":162,"to_index":738,"sum":246099,"residue":144},{"from_index":738,"to_index":1314,"sum":261808,"residue":319},{"from_index":1314,"to_index":162,"sum":235136,"residue":400}],"minimal_cycle":[144,319,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[162,738],"circle_positions":863,"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":[163,739,1315],"clock_positions":[163,739,1315],"native_values":[93,128,642],"rotation_degrees":33.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,128,642],"beta":{"interval_sums":[246201,262457,235248],"interval_residues":[246,105,512],"display_cycle":[246,105,512],"intervals":[{"from_index":163,"to_index":739,"sum":246201,"residue":246},{"from_index":739,"to_index":1315,"sum":262457,"residue":105},{"from_index":1315,"to_index":163,"sum":235248,"residue":512}],"minimal_cycle":[246,105,512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[163,739],"circle_positions":863,"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":[164,740,1316],"clock_positions":[164,740,1316],"native_values":[847,323,556],"rotation_degrees":34.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[847,323,556],"beta":{"interval_sums":[245482,262776,234785],"interval_residues":[390,424,49],"display_cycle":[390,424,49],"intervals":[{"from_index":164,"to_index":740,"sum":245482,"residue":390},{"from_index":740,"to_index":1316,"sum":262776,"residue":424},{"from_index":1316,"to_index":164,"sum":234785,"residue":49}],"minimal_cycle":[390,424,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[164,740],"circle_positions":863,"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":[165,741,1317],"clock_positions":[165,741,1317],"native_values":[77,451,335],"rotation_degrees":34.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,451,335],"beta":{"interval_sums":[245728,262881,235297],"interval_residues":[636,529,561],"display_cycle":[636,529,561],"intervals":[{"from_index":165,"to_index":741,"sum":245728,"residue":636},{"from_index":741,"to_index":1317,"sum":262881,"residue":529},{"from_index":1317,"to_index":165,"sum":235297,"residue":561}],"minimal_cycle":[636,529,561],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[165,741],"circle_positions":863,"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":[166,742,1318],"clock_positions":[166,742,1318],"native_values":[61,774,28],"rotation_degrees":34.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,774,28],"beta":{"interval_sums":[246118,262442,235346],"interval_residues":[163,90,610],"display_cycle":[163,90,610],"intervals":[{"from_index":166,"to_index":742,"sum":246118,"residue":163},{"from_index":742,"to_index":1318,"sum":262442,"residue":90},{"from_index":1318,"to_index":166,"sum":235346,"residue":610}],"minimal_cycle":[163,90,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[166,742],"circle_positions":863,"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":[167,743,1319],"clock_positions":[167,743,1319],"native_values":[138,362,363],"rotation_degrees":34.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,362,363],"beta":{"interval_sums":[246754,262108,235044],"interval_residues":[799,619,308],"display_cycle":[799,619,308],"intervals":[{"from_index":167,"to_index":743,"sum":246754,"residue":799},{"from_index":743,"to_index":1319,"sum":262108,"residue":619},{"from_index":1319,"to_index":167,"sum":235044,"residue":308}],"minimal_cycle":[799,619,308],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":799,"start_interval_clock_positions":[167,743],"circle_positions":863,"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":[168,744,1320],"clock_positions":[168,744,1320],"native_values":[199,273,391],"rotation_degrees":35.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,273,391],"beta":{"interval_sums":[246917,262198,234791],"interval_residues":[99,709,55],"display_cycle":[99,709,55],"intervals":[{"from_index":168,"to_index":744,"sum":246917,"residue":99},{"from_index":744,"to_index":1320,"sum":262198,"residue":709},{"from_index":1320,"to_index":168,"sum":234791,"residue":55}],"minimal_cycle":[99,709,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[168,744],"circle_positions":863,"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":[169,745,1321],"clock_positions":[169,745,1321],"native_values":[337,635,754],"rotation_degrees":35.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,635,754],"beta":{"interval_sums":[246853,261954,234236],"interval_residues":[35,465,363],"display_cycle":[35,465,363],"intervals":[{"from_index":169,"to_index":745,"sum":246853,"residue":35},{"from_index":745,"to_index":1321,"sum":261954,"residue":465},{"from_index":1321,"to_index":169,"sum":234236,"residue":363}],"minimal_cycle":[35,465,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[169,745],"circle_positions":863,"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":[170,746,1322],"clock_positions":[170,746,1322],"native_values":[536,45,282],"rotation_degrees":35.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,45,282],"beta":{"interval_sums":[246952,262663,234291],"interval_residues":[134,311,418],"display_cycle":[134,311,418],"intervals":[{"from_index":170,"to_index":746,"sum":246952,"residue":134},{"from_index":746,"to_index":1322,"sum":262663,"residue":311},{"from_index":1322,"to_index":170,"sum":234291,"residue":418}],"minimal_cycle":[134,311,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[170,746],"circle_positions":863,"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":[171,747,1323],"clock_positions":[171,747,1323],"native_values":[10,680,173],"rotation_degrees":35.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,680,173],"beta":{"interval_sums":[246987,262265,234654],"interval_residues":[169,776,781],"display_cycle":[169,776,781],"intervals":[{"from_index":171,"to_index":747,"sum":246987,"residue":169},{"from_index":747,"to_index":1323,"sum":262265,"residue":776},{"from_index":1323,"to_index":171,"sum":234654,"residue":781}],"minimal_cycle":[169,776,781],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[171,747],"circle_positions":863,"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":[172,748,1324],"clock_positions":[172,748,1324],"native_values":[546,725,455],"rotation_degrees":35.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,725,455],"beta":{"interval_sums":[247121,261713,234209],"interval_residues":[303,224,336],"display_cycle":[303,224,336],"intervals":[{"from_index":172,"to_index":748,"sum":247121,"residue":303},{"from_index":748,"to_index":1324,"sum":261713,"residue":224},{"from_index":1324,"to_index":172,"sum":234209,"residue":336}],"minimal_cycle":[303,224,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[172,748],"circle_positions":863,"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":[173,749,1325],"clock_positions":[173,749,1325],"native_values":[556,542,628],"rotation_degrees":36.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,542,628],"beta":{"interval_sums":[247290,261626,234127],"interval_residues":[472,137,254],"display_cycle":[472,137,254],"intervals":[{"from_index":173,"to_index":749,"sum":247290,"residue":472},{"from_index":749,"to_index":1325,"sum":261626,"residue":137},{"from_index":1325,"to_index":173,"sum":234127,"residue":254}],"minimal_cycle":[472,137,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[173,749],"circle_positions":863,"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":[174,750,1326],"clock_positions":[174,750,1326],"native_values":[239,404,220],"rotation_degrees":36.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,404,220],"beta":{"interval_sums":[247593,261850,234463],"interval_residues":[775,361,590],"display_cycle":[775,361,590],"intervals":[{"from_index":174,"to_index":750,"sum":247593,"residue":775},{"from_index":750,"to_index":1326,"sum":261850,"residue":361},{"from_index":1326,"to_index":174,"sum":234463,"residue":590}],"minimal_cycle":[775,361,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":775,"start_interval_clock_positions":[174,750],"circle_positions":863,"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":[175,751,1327],"clock_positions":[175,751,1327],"native_values":[795,83,848],"rotation_degrees":36.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,83,848],"beta":{"interval_sums":[247202,261987,233854],"interval_residues":[384,498,844],"display_cycle":[384,498,844],"intervals":[{"from_index":175,"to_index":751,"sum":247202,"residue":384},{"from_index":751,"to_index":1327,"sum":261987,"residue":498},{"from_index":1327,"to_index":175,"sum":233854,"residue":844}],"minimal_cycle":[384,498,844],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[175,751],"circle_positions":863,"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":[176,752,1328],"clock_positions":[176,752,1328],"native_values":[171,487,205],"rotation_degrees":36.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,487,205],"beta":{"interval_sums":[247114,262348,234444],"interval_residues":[296,859,571],"display_cycle":[296,859,571],"intervals":[{"from_index":176,"to_index":752,"sum":247114,"residue":296},{"from_index":752,"to_index":1328,"sum":262348,"residue":859},{"from_index":1328,"to_index":176,"sum":234444,"residue":571}],"minimal_cycle":[296,859,571],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[176,752],"circle_positions":863,"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":[177,753,1329],"clock_positions":[177,753,1329],"native_values":[103,570,190],"rotation_degrees":36.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,570,190],"beta":{"interval_sums":[247498,261983,234425],"interval_residues":[680,494,552],"display_cycle":[680,494,552],"intervals":[{"from_index":177,"to_index":753,"sum":247498,"residue":680},{"from_index":753,"to_index":1329,"sum":261983,"residue":494},{"from_index":1329,"to_index":177,"sum":234425,"residue":552}],"minimal_cycle":[680,494,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[177,753],"circle_positions":863,"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":[178,754,1330],"clock_positions":[178,754,1330],"native_values":[274,194,395],"rotation_degrees":37.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[274,194,395],"beta":{"interval_sums":[247794,261979,234133],"interval_residues":[113,490,260],"display_cycle":[113,490,260],"intervals":[{"from_index":178,"to_index":754,"sum":247794,"residue":113},{"from_index":754,"to_index":1330,"sum":261979,"residue":490},{"from_index":1330,"to_index":178,"sum":234133,"residue":260}],"minimal_cycle":[113,490,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[178,754],"circle_positions":863,"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":[179,755,1331],"clock_positions":[179,755,1331],"native_values":[377,764,585],"rotation_degrees":37.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,764,585],"beta":{"interval_sums":[247611,261610,233822],"interval_residues":[793,121,812],"display_cycle":[793,121,812],"intervals":[{"from_index":179,"to_index":755,"sum":247611,"residue":793},{"from_index":755,"to_index":1331,"sum":261610,"residue":121},{"from_index":1331,"to_index":179,"sum":233822,"residue":812}],"minimal_cycle":[793,121,812],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":793,"start_interval_clock_positions":[179,755],"circle_positions":863,"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":[180,756,1332],"clock_positions":[180,756,1332],"native_values":[651,95,117],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,95,117],"beta":{"interval_sums":[247724,262100,234082],"interval_residues":[43,611,209],"display_cycle":[43,611,209],"intervals":[{"from_index":180,"to_index":756,"sum":247724,"residue":43},{"from_index":756,"to_index":1332,"sum":262100,"residue":611},{"from_index":1332,"to_index":180,"sum":234082,"residue":209}],"minimal_cycle":[43,611,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[180,756],"circle_positions":863,"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":[181,757,1333],"clock_positions":[181,757,1333],"native_values":[165,859,702],"rotation_degrees":37.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,859,702],"beta":{"interval_sums":[247654,261358,234031],"interval_residues":[836,732,158],"display_cycle":[836,732,158],"intervals":[{"from_index":181,"to_index":757,"sum":247654,"residue":836},{"from_index":757,"to_index":1333,"sum":261358,"residue":732},{"from_index":1333,"to_index":181,"sum":234031,"residue":158}],"minimal_cycle":[836,732,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":836,"start_interval_clock_positions":[181,757],"circle_positions":863,"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":[182,758,1334],"clock_positions":[182,758,1334],"native_values":[816,91,819],"rotation_degrees":37.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[816,91,819],"beta":{"interval_sums":[247697,261969,233377],"interval_residues":[16,480,367],"display_cycle":[16,480,367],"intervals":[{"from_index":182,"to_index":758,"sum":247697,"residue":16},{"from_index":758,"to_index":1334,"sum":261969,"residue":480},{"from_index":1334,"to_index":182,"sum":233377,"residue":367}],"minimal_cycle":[16,480,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[182,758],"circle_positions":863,"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":[183,759,1335],"clock_positions":[183,759,1335],"native_values":[118,87,658],"rotation_degrees":38.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[118,87,658],"beta":{"interval_sums":[247670,262701,233535],"interval_residues":[852,349,525],"display_cycle":[852,349,525],"intervals":[{"from_index":183,"to_index":759,"sum":247670,"residue":852},{"from_index":759,"to_index":1335,"sum":262701,"residue":349},{"from_index":1335,"to_index":183,"sum":233535,"residue":525}],"minimal_cycle":[852,349,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":852,"start_interval_clock_positions":[183,759],"circle_positions":863,"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":[184,760,1336],"clock_positions":[184,760,1336],"native_values":[71,178,614],"rotation_degrees":38.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,178,614],"beta":{"interval_sums":[247686,263181,233039],"interval_residues":[5,829,29],"display_cycle":[5,829,29],"intervals":[{"from_index":184,"to_index":760,"sum":247686,"residue":5},{"from_index":760,"to_index":1336,"sum":263181,"residue":829},{"from_index":1336,"to_index":184,"sum":233039,"residue":29}],"minimal_cycle":[5,829,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[184,760],"circle_positions":863,"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":[185,761,1337],"clock_positions":[185,761,1337],"native_values":[189,265,409],"rotation_degrees":38.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,265,409],"beta":{"interval_sums":[247675,263530,232701],"interval_residues":[857,315,554],"display_cycle":[857,315,554],"intervals":[{"from_index":185,"to_index":761,"sum":247675,"residue":857},{"from_index":761,"to_index":1337,"sum":263530,"residue":315},{"from_index":1337,"to_index":185,"sum":232701,"residue":554}],"minimal_cycle":[857,315,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":857,"start_interval_clock_positions":[185,761],"circle_positions":863,"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":[186,762,1338],"clock_positions":[186,762,1338],"native_values":[260,443,160],"rotation_degrees":38.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,443,160],"beta":{"interval_sums":[247680,263496,232730],"interval_residues":[862,281,583],"display_cycle":[862,281,583],"intervals":[{"from_index":186,"to_index":762,"sum":247680,"residue":862},{"from_index":762,"to_index":1338,"sum":263496,"residue":281},{"from_index":1338,"to_index":186,"sum":232730,"residue":583}],"minimal_cycle":[862,281,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":862,"start_interval_clock_positions":[186,762],"circle_positions":863,"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":[187,763,1339],"clock_positions":[187,763,1339],"native_values":[449,708,569],"rotation_degrees":38.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,708,569],"beta":{"interval_sums":[247674,262948,232421],"interval_residues":[856,596,274],"display_cycle":[856,596,274],"intervals":[{"from_index":187,"to_index":763,"sum":247674,"residue":856},{"from_index":763,"to_index":1339,"sum":262948,"residue":596},{"from_index":1339,"to_index":187,"sum":232421,"residue":274}],"minimal_cycle":[856,596,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":856,"start_interval_clock_positions":[187,763],"circle_positions":863,"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":[188,764,1340],"clock_positions":[188,764,1340],"native_values":[709,288,729],"rotation_degrees":39.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,288,729],"beta":{"interval_sums":[247673,263229,232141],"interval_residues":[855,14,857],"display_cycle":[855,14,857],"intervals":[{"from_index":188,"to_index":764,"sum":247673,"residue":855},{"from_index":764,"to_index":1340,"sum":263229,"residue":14},{"from_index":1340,"to_index":188,"sum":232141,"residue":857}],"minimal_cycle":[855,14,857],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":855,"start_interval_clock_positions":[188,764],"circle_positions":863,"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":[189,765,1341],"clock_positions":[189,765,1341],"native_values":[295,133,435],"rotation_degrees":39.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,133,435],"beta":{"interval_sums":[247666,263825,232415],"interval_residues":[848,610,268],"display_cycle":[848,610,268],"intervals":[{"from_index":189,"to_index":765,"sum":247666,"residue":848},{"from_index":765,"to_index":1341,"sum":263825,"residue":610},{"from_index":1341,"to_index":189,"sum":232415,"residue":268}],"minimal_cycle":[848,610,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":848,"start_interval_clock_positions":[189,765],"circle_positions":863,"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":[190,766,1342],"clock_positions":[190,766,1342],"native_values":[141,421,301],"rotation_degrees":39.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,421,301],"beta":{"interval_sums":[247658,263839,232409],"interval_residues":[840,624,262],"display_cycle":[840,624,262],"intervals":[{"from_index":190,"to_index":766,"sum":247658,"residue":840},{"from_index":766,"to_index":1342,"sum":263839,"residue":624},{"from_index":1342,"to_index":190,"sum":232409,"residue":262}],"minimal_cycle":[840,624,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":840,"start_interval_clock_positions":[190,766],"circle_positions":863,"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":[191,767,1343],"clock_positions":[191,767,1343],"native_values":[436,554,736],"rotation_degrees":39.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,554,736],"beta":{"interval_sums":[247643,263586,231814],"interval_residues":[825,371,530],"display_cycle":[825,371,530],"intervals":[{"from_index":191,"to_index":767,"sum":247643,"residue":825},{"from_index":767,"to_index":1343,"sum":263586,"residue":371},{"from_index":1343,"to_index":191,"sum":231814,"residue":530}],"minimal_cycle":[825,371,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":825,"start_interval_clock_positions":[191,767],"circle_positions":863,"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":[192,768,1344],"clock_positions":[192,768,1344],"native_values":[577,112,174],"rotation_degrees":40.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,112,174],"beta":{"interval_sums":[247620,264210,232076],"interval_residues":[802,132,792],"display_cycle":[802,132,792],"intervals":[{"from_index":192,"to_index":768,"sum":247620,"residue":802},{"from_index":768,"to_index":1344,"sum":264210,"residue":132},{"from_index":1344,"to_index":192,"sum":232076,"residue":792}],"minimal_cycle":[802,132,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":802,"start_interval_clock_positions":[192,768],"circle_positions":863,"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":[193,769,1345],"clock_positions":[193,769,1345],"native_values":[150,666,47],"rotation_degrees":40.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,666,47],"beta":{"interval_sums":[247582,263718,232606],"interval_residues":[764,503,459],"display_cycle":[764,503,459],"intervals":[{"from_index":193,"to_index":769,"sum":247582,"residue":764},{"from_index":769,"to_index":1345,"sum":263718,"residue":503},{"from_index":1345,"to_index":193,"sum":232606,"residue":459}],"minimal_cycle":[764,503,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[193,769],"circle_positions":863,"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":[194,770,1346],"clock_positions":[194,770,1346],"native_values":[727,778,221],"rotation_degrees":40.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,778,221],"beta":{"interval_sums":[247521,262987,232535],"interval_residues":[703,635,388],"display_cycle":[703,635,388],"intervals":[{"from_index":194,"to_index":770,"sum":247521,"residue":703},{"from_index":770,"to_index":1346,"sum":262987,"residue":635},{"from_index":1346,"to_index":194,"sum":232535,"residue":388}],"minimal_cycle":[703,635,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":703,"start_interval_clock_positions":[194,770],"circle_positions":863,"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":[195,771,1347],"clock_positions":[195,771,1347],"native_values":[14,581,268],"rotation_degrees":40.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,581,268],"beta":{"interval_sums":[248285,262627,232994],"interval_residues":[604,275,847],"display_cycle":[604,275,847],"intervals":[{"from_index":195,"to_index":771,"sum":248285,"residue":604},{"from_index":771,"to_index":1347,"sum":262627,"residue":275},{"from_index":1347,"to_index":195,"sum":232994,"residue":847}],"minimal_cycle":[604,275,847],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[195,771],"circle_positions":863,"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":[196,772,1348],"clock_positions":[196,772,1348],"native_values":[741,496,489],"rotation_degrees":40.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,496,489],"beta":{"interval_sums":[248125,262399,232519],"interval_residues":[444,47,372],"display_cycle":[444,47,372],"intervals":[{"from_index":196,"to_index":772,"sum":248125,"residue":444},{"from_index":772,"to_index":1348,"sum":262399,"residue":47},{"from_index":1348,"to_index":196,"sum":232519,"residue":372}],"minimal_cycle":[444,47,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[196,772],"circle_positions":863,"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":[197,773,1349],"clock_positions":[197,773,1349],"native_values":[755,214,757],"rotation_degrees":41.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[755,214,757],"beta":{"interval_sums":[247866,262674,232503],"interval_residues":[185,322,356],"display_cycle":[185,322,356],"intervals":[{"from_index":197,"to_index":773,"sum":247866,"residue":185},{"from_index":773,"to_index":1349,"sum":262674,"residue":322},{"from_index":1349,"to_index":197,"sum":232503,"residue":356}],"minimal_cycle":[185,322,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[197,773],"circle_positions":863,"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":[198,774,1350],"clock_positions":[198,774,1350],"native_values":[633,710,383],"rotation_degrees":41.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,710,383],"beta":{"interval_sums":[247447,262721,232875],"interval_residues":[629,369,728],"display_cycle":[629,369,728],"intervals":[{"from_index":198,"to_index":774,"sum":247447,"residue":629},{"from_index":774,"to_index":1350,"sum":262721,"residue":369},{"from_index":1350,"to_index":198,"sum":232875,"residue":728}],"minimal_cycle":[629,369,728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[198,774],"circle_positions":863,"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":[199,775,1351],"clock_positions":[199,775,1351],"native_values":[525,61,277],"rotation_degrees":41.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,61,277],"beta":{"interval_sums":[247632,263043,233231],"interval_residues":[814,691,221],"display_cycle":[814,691,221],"intervals":[{"from_index":199,"to_index":775,"sum":247632,"residue":814},{"from_index":775,"to_index":1351,"sum":263043,"residue":691},{"from_index":1351,"to_index":199,"sum":233231,"residue":221}],"minimal_cycle":[814,691,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[199,775],"circle_positions":863,"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":[200,776,1352],"clock_positions":[200,776,1352],"native_values":[295,771,660],"rotation_degrees":41.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,771,660],"beta":{"interval_sums":[247398,262549,233096],"interval_residues":[580,197,86],"display_cycle":[580,197,86],"intervals":[{"from_index":200,"to_index":776,"sum":247398,"residue":580},{"from_index":776,"to_index":1352,"sum":262549,"residue":197},{"from_index":1352,"to_index":200,"sum":233096,"residue":86}],"minimal_cycle":[580,197,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[200,776],"circle_positions":863,"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":[201,777,1353],"clock_positions":[201,777,1353],"native_values":[820,832,74],"rotation_degrees":41.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[820,832,74],"beta":{"interval_sums":[247349,262377,233317],"interval_residues":[531,25,307],"display_cycle":[531,25,307],"intervals":[{"from_index":201,"to_index":777,"sum":247349,"residue":531},{"from_index":777,"to_index":1353,"sum":262377,"residue":25},{"from_index":1353,"to_index":201,"sum":233317,"residue":307}],"minimal_cycle":[531,25,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":531,"start_interval_clock_positions":[201,777],"circle_positions":863,"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":[202,778,1354],"clock_positions":[202,778,1354],"native_values":[252,740,734],"rotation_degrees":42.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,740,734],"beta":{"interval_sums":[247929,261711,233403],"interval_residues":[248,222,393],"display_cycle":[248,222,393],"intervals":[{"from_index":202,"to_index":778,"sum":247929,"residue":248},{"from_index":778,"to_index":1354,"sum":261711,"residue":222},{"from_index":1354,"to_index":202,"sum":233403,"residue":393}],"minimal_cycle":[248,222,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[202,778],"circle_positions":863,"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":[203,779,1355],"clock_positions":[203,779,1355],"native_values":[209,709,808],"rotation_degrees":42.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,709,808],"beta":{"interval_sums":[248460,261736,232847],"interval_residues":[779,247,700],"display_cycle":[779,247,700],"intervals":[{"from_index":203,"to_index":779,"sum":248460,"residue":779},{"from_index":779,"to_index":1355,"sum":261736,"residue":247},{"from_index":1355,"to_index":203,"sum":232847,"residue":700}],"minimal_cycle":[779,247,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":779,"start_interval_clock_positions":[203,779],"circle_positions":863,"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":[204,780,1356],"clock_positions":[204,780,1356],"native_values":[461,586,679],"rotation_degrees":42.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,586,679],"beta":{"interval_sums":[248708,261958,232377],"interval_residues":[164,469,230],"display_cycle":[164,469,230],"intervals":[{"from_index":204,"to_index":780,"sum":248708,"residue":164},{"from_index":780,"to_index":1356,"sum":261958,"residue":469},{"from_index":1356,"to_index":204,"sum":232377,"residue":230}],"minimal_cycle":[164,469,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[204,780],"circle_positions":863,"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":[205,781,1357],"clock_positions":[205,781,1357],"native_values":[670,432,624],"rotation_degrees":42.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[670,432,624],"beta":{"interval_sums":[248624,262205,232214],"interval_residues":[80,716,67],"display_cycle":[80,716,67],"intervals":[{"from_index":205,"to_index":781,"sum":248624,"residue":80},{"from_index":781,"to_index":1357,"sum":262205,"residue":716},{"from_index":1357,"to_index":205,"sum":232214,"residue":67}],"minimal_cycle":[80,716,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[205,781],"circle_positions":863,"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":[206,782,1358],"clock_positions":[206,782,1358],"native_values":[268,155,440],"rotation_degrees":42.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,155,440],"beta":{"interval_sums":[248788,262674,232444],"interval_residues":[244,322,297],"display_cycle":[244,322,297],"intervals":[{"from_index":206,"to_index":782,"sum":248788,"residue":244},{"from_index":782,"to_index":1358,"sum":262674,"residue":322},{"from_index":1358,"to_index":206,"sum":232444,"residue":297}],"minimal_cycle":[244,322,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[206,782],"circle_positions":863,"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":[207,783,1359],"clock_positions":[207,783,1359],"native_values":[75,587,201],"rotation_degrees":43.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,587,201],"beta":{"interval_sums":[248868,262527,232511],"interval_residues":[324,175,364],"display_cycle":[324,175,364],"intervals":[{"from_index":207,"to_index":783,"sum":248868,"residue":324},{"from_index":783,"to_index":1359,"sum":262527,"residue":175},{"from_index":1359,"to_index":207,"sum":232511,"residue":364}],"minimal_cycle":[324,175,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[207,783],"circle_positions":863,"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":[208,784,1360],"clock_positions":[208,784,1360],"native_values":[343,742,641],"rotation_degrees":43.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,742,641],"beta":{"interval_sums":[249112,261986,231945],"interval_residues":[568,497,661],"display_cycle":[568,497,661],"intervals":[{"from_index":208,"to_index":784,"sum":249112,"residue":568},{"from_index":784,"to_index":1360,"sum":261986,"residue":497},{"from_index":1360,"to_index":208,"sum":231945,"residue":661}],"minimal_cycle":[568,497,661],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[208,784],"circle_positions":863,"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":[209,785,1361],"clock_positions":[209,785,1361],"native_values":[418,466,842],"rotation_degrees":43.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,466,842],"beta":{"interval_sums":[249436,262161,231446],"interval_residues":[29,672,162],"display_cycle":[29,672,162],"intervals":[{"from_index":209,"to_index":785,"sum":249436,"residue":29},{"from_index":785,"to_index":1361,"sum":262161,"residue":672},{"from_index":1361,"to_index":209,"sum":231446,"residue":162}],"minimal_cycle":[29,672,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[209,785],"circle_positions":863,"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":[210,786,1362],"clock_positions":[210,786,1362],"native_values":[761,345,620],"rotation_degrees":43.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[761,345,620],"beta":{"interval_sums":[249141,262658,231244],"interval_residues":[597,306,823],"display_cycle":[597,306,823],"intervals":[{"from_index":210,"to_index":786,"sum":249141,"residue":597},{"from_index":786,"to_index":1362,"sum":262658,"residue":306},{"from_index":1362,"to_index":210,"sum":231244,"residue":823}],"minimal_cycle":[597,306,823],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[210,786],"circle_positions":863,"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":[211,787,1363],"clock_positions":[211,787,1363],"native_values":[316,811,599],"rotation_degrees":43.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,811,599],"beta":{"interval_sums":[249170,262467,231406],"interval_residues":[626,115,122],"display_cycle":[626,115,122],"intervals":[{"from_index":211,"to_index":787,"sum":249170,"residue":626},{"from_index":787,"to_index":1363,"sum":262467,"residue":115},{"from_index":1363,"to_index":211,"sum":231406,"residue":122}],"minimal_cycle":[626,115,122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[211,787],"circle_positions":863,"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":[212,788,1364],"clock_positions":[212,788,1364],"native_values":[214,293,356],"rotation_degrees":44.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,293,356],"beta":{"interval_sums":[249767,262773,231366],"interval_residues":[360,421,82],"display_cycle":[360,421,82],"intervals":[{"from_index":212,"to_index":788,"sum":249767,"residue":360},{"from_index":788,"to_index":1364,"sum":262773,"residue":421},{"from_index":1364,"to_index":212,"sum":231366,"residue":82}],"minimal_cycle":[360,421,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[212,788],"circle_positions":863,"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":[213,789,1365],"clock_positions":[213,789,1365],"native_values":[530,241,92],"rotation_degrees":44.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,241,92],"beta":{"interval_sums":[249530,262888,231488],"interval_residues":[123,536,204],"display_cycle":[123,536,204],"intervals":[{"from_index":213,"to_index":789,"sum":249530,"residue":123},{"from_index":789,"to_index":1365,"sum":262888,"residue":536},{"from_index":1365,"to_index":213,"sum":231488,"residue":204}],"minimal_cycle":[123,536,204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[213,789],"circle_positions":863,"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":[214,790,1366],"clock_positions":[214,790,1366],"native_values":[744,534,448],"rotation_degrees":44.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,534,448],"beta":{"interval_sums":[249027,262446,231570],"interval_residues":[483,94,286],"display_cycle":[483,94,286],"intervals":[{"from_index":214,"to_index":790,"sum":249027,"residue":483},{"from_index":790,"to_index":1366,"sum":262446,"residue":94},{"from_index":1366,"to_index":214,"sum":231570,"residue":286}],"minimal_cycle":[483,94,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[214,790],"circle_positions":863,"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":[215,791,1367],"clock_positions":[215,791,1367],"native_values":[411,775,540],"rotation_degrees":44.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,775,540],"beta":{"interval_sums":[249150,262119,231774],"interval_residues":[606,630,490],"display_cycle":[606,630,490],"intervals":[{"from_index":215,"to_index":791,"sum":249150,"residue":606},{"from_index":791,"to_index":1367,"sum":262119,"residue":630},{"from_index":1367,"to_index":215,"sum":231774,"residue":490}],"minimal_cycle":[606,630,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[215,791],"circle_positions":863,"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":[216,792,1368],"clock_positions":[216,792,1368],"native_values":[292,446,125],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,446,125],"beta":{"interval_sums":[249633,262213,232060],"interval_residues":[226,724,776],"display_cycle":[226,724,776],"intervals":[{"from_index":216,"to_index":792,"sum":249633,"residue":226},{"from_index":792,"to_index":1368,"sum":262213,"residue":724},{"from_index":1368,"to_index":216,"sum":232060,"residue":776}],"minimal_cycle":[226,724,776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[216,792],"circle_positions":863,"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":[217,793,1369],"clock_positions":[217,793,1369],"native_values":[703,358,665],"rotation_degrees":45.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,358,665],"beta":{"interval_sums":[249376,261980,231687],"interval_residues":[832,491,403],"display_cycle":[832,491,403],"intervals":[{"from_index":217,"to_index":793,"sum":249376,"residue":832},{"from_index":793,"to_index":1369,"sum":261980,"residue":491},{"from_index":1369,"to_index":217,"sum":231687,"residue":403}],"minimal_cycle":[832,491,403],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":832,"start_interval_clock_positions":[217,793],"circle_positions":863,"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":[218,794,1370],"clock_positions":[218,794,1370],"native_values":[132,804,790],"rotation_degrees":45.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,804,790],"beta":{"interval_sums":[249602,261841,231600],"interval_residues":[195,352,316],"display_cycle":[195,352,316],"intervals":[{"from_index":218,"to_index":794,"sum":249602,"residue":195},{"from_index":794,"to_index":1370,"sum":261841,"residue":352},{"from_index":1370,"to_index":218,"sum":231600,"residue":316}],"minimal_cycle":[195,352,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[218,794],"circle_positions":863,"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":[219,795,1371],"clock_positions":[219,795,1371],"native_values":[835,299,592],"rotation_degrees":45.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[835,299,592],"beta":{"interval_sums":[249571,262332,231140],"interval_residues":[164,843,719],"display_cycle":[164,843,719],"intervals":[{"from_index":219,"to_index":795,"sum":249571,"residue":164},{"from_index":795,"to_index":1371,"sum":262332,"residue":843},{"from_index":1371,"to_index":219,"sum":231140,"residue":719}],"minimal_cycle":[164,843,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[219,795],"circle_positions":863,"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":[220,796,1372],"clock_positions":[220,796,1372],"native_values":[104,240,519],"rotation_degrees":45.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,240,519],"beta":{"interval_sums":[249766,262684,231456],"interval_residues":[359,332,172],"display_cycle":[359,332,172],"intervals":[{"from_index":220,"to_index":796,"sum":249766,"residue":359},{"from_index":796,"to_index":1372,"sum":262684,"residue":332},{"from_index":1372,"to_index":220,"sum":231456,"residue":172}],"minimal_cycle":[359,332,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":359,"start_interval_clock_positions":[220,796],"circle_positions":863,"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":[221,797,1373],"clock_positions":[221,797,1373],"native_values":[76,539,248],"rotation_degrees":46.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,539,248],"beta":{"interval_sums":[249930,262664,231312],"interval_residues":[523,312,28],"display_cycle":[523,312,28],"intervals":[{"from_index":221,"to_index":797,"sum":249930,"residue":523},{"from_index":797,"to_index":1373,"sum":262664,"residue":312},{"from_index":1373,"to_index":221,"sum":231312,"residue":28}],"minimal_cycle":[523,312,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":523,"start_interval_clock_positions":[221,797],"circle_positions":863,"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":[222,798,1374],"clock_positions":[222,798,1374],"native_values":[180,779,767],"rotation_degrees":46.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,779,767],"beta":{"interval_sums":[250289,262133,230621],"interval_residues":[19,644,200],"display_cycle":[19,644,200],"intervals":[{"from_index":222,"to_index":798,"sum":250289,"residue":19},{"from_index":798,"to_index":1374,"sum":262133,"residue":644},{"from_index":1374,"to_index":222,"sum":230621,"residue":200}],"minimal_cycle":[19,644,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[222,798],"circle_positions":863,"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":[223,799,1375],"clock_positions":[223,799,1375],"native_values":[256,455,152],"rotation_degrees":46.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,455,152],"beta":{"interval_sums":[250812,262445,230649],"interval_residues":[542,93,228],"display_cycle":[542,93,228],"intervals":[{"from_index":223,"to_index":799,"sum":250812,"residue":542},{"from_index":799,"to_index":1375,"sum":262445,"residue":93},{"from_index":1375,"to_index":223,"sum":230649,"residue":228}],"minimal_cycle":[542,93,228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[223,799],"circle_positions":863,"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":[224,800,1376],"clock_positions":[224,800,1376],"native_values":[436,371,56],"rotation_degrees":46.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,371,56],"beta":{"interval_sums":[250831,262226,230849],"interval_residues":[561,737,428],"display_cycle":[561,737,428],"intervals":[{"from_index":224,"to_index":800,"sum":250831,"residue":561},{"from_index":800,"to_index":1376,"sum":262226,"residue":737},{"from_index":1376,"to_index":224,"sum":230849,"residue":428}],"minimal_cycle":[561,737,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[224,800],"circle_positions":863,"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":[225,801,1377],"clock_positions":[225,801,1377],"native_values":[692,826,208],"rotation_degrees":46.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,826,208],"beta":{"interval_sums":[250510,261456,231077],"interval_residues":[240,830,656],"display_cycle":[240,830,656],"intervals":[{"from_index":225,"to_index":801,"sum":250510,"residue":240},{"from_index":801,"to_index":1377,"sum":261456,"residue":830},{"from_index":1377,"to_index":225,"sum":231077,"residue":656}],"minimal_cycle":[240,830,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[225,801],"circle_positions":863,"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":[226,802,1378],"clock_positions":[226,802,1378],"native_values":[265,334,264],"rotation_degrees":47.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,334,264],"beta":{"interval_sums":[251071,261330,231505],"interval_residues":[801,704,221],"display_cycle":[801,704,221],"intervals":[{"from_index":226,"to_index":802,"sum":251071,"residue":801},{"from_index":802,"to_index":1378,"sum":261330,"residue":704},{"from_index":1378,"to_index":226,"sum":231505,"residue":221}],"minimal_cycle":[801,704,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":801,"start_interval_clock_positions":[226,802],"circle_positions":863,"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":[227,803,1379],"clock_positions":[227,803,1379],"native_values":[94,297,472],"rotation_degrees":47.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[94,297,472],"beta":{"interval_sums":[251311,261297,231298],"interval_residues":[178,671,14],"display_cycle":[178,671,14],"intervals":[{"from_index":227,"to_index":803,"sum":251311,"residue":178},{"from_index":803,"to_index":1379,"sum":261297,"residue":671},{"from_index":1379,"to_index":227,"sum":231298,"residue":14}],"minimal_cycle":[178,671,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[227,803],"circle_positions":863,"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":[228,804,1380],"clock_positions":[228,804,1380],"native_values":[359,631,736],"rotation_degrees":47.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,631,736],"beta":{"interval_sums":[251249,261138,230656],"interval_residues":[116,512,235],"display_cycle":[116,512,235],"intervals":[{"from_index":228,"to_index":804,"sum":251249,"residue":116},{"from_index":804,"to_index":1380,"sum":261138,"residue":512},{"from_index":1380,"to_index":228,"sum":230656,"residue":235}],"minimal_cycle":[116,512,235],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[228,804],"circle_positions":863,"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":[229,805,1381],"clock_positions":[229,805,1381],"native_values":[453,65,345],"rotation_degrees":47.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,65,345],"beta":{"interval_sums":[251427,261809,230670],"interval_residues":[294,320,249],"display_cycle":[294,320,249],"intervals":[{"from_index":229,"to_index":805,"sum":251427,"residue":294},{"from_index":805,"to_index":1381,"sum":261809,"residue":320},{"from_index":1381,"to_index":229,"sum":230670,"residue":249}],"minimal_cycle":[294,320,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[229,805],"circle_positions":863,"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":[230,806,1382],"clock_positions":[230,806,1382],"native_values":[812,696,218],"rotation_degrees":47.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[812,696,218],"beta":{"interval_sums":[250680,261458,230905],"interval_residues":[410,832,484],"display_cycle":[410,832,484],"intervals":[{"from_index":230,"to_index":806,"sum":250680,"residue":410},{"from_index":806,"to_index":1382,"sum":261458,"residue":832},{"from_index":1382,"to_index":230,"sum":230905,"residue":484}],"minimal_cycle":[410,832,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[230,806],"circle_positions":863,"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":[231,807,1383],"clock_positions":[231,807,1383],"native_values":[402,761,563],"rotation_degrees":48.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,761,563],"beta":{"interval_sums":[250974,260915,231154],"interval_residues":[704,289,733],"display_cycle":[704,289,733],"intervals":[{"from_index":231,"to_index":807,"sum":250974,"residue":704},{"from_index":807,"to_index":1383,"sum":260915,"residue":289},{"from_index":1383,"to_index":231,"sum":231154,"residue":733}],"minimal_cycle":[704,289,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[231,807],"circle_positions":863,"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":[232,808,1384],"clock_positions":[232,808,1384],"native_values":[351,594,781],"rotation_degrees":48.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,594,781],"beta":{"interval_sums":[251384,260884,230775],"interval_residues":[251,258,354],"display_cycle":[251,258,354],"intervals":[{"from_index":232,"to_index":808,"sum":251384,"residue":251},{"from_index":808,"to_index":1384,"sum":260884,"residue":258},{"from_index":1384,"to_index":232,"sum":230775,"residue":354}],"minimal_cycle":[251,258,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[232,808],"circle_positions":863,"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":[233,809,1385],"clock_positions":[233,809,1385],"native_values":[753,492,481],"rotation_degrees":48.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,492,481],"beta":{"interval_sums":[251225,261173,230645],"interval_residues":[92,547,224],"display_cycle":[92,547,224],"intervals":[{"from_index":233,"to_index":809,"sum":251225,"residue":92},{"from_index":809,"to_index":1385,"sum":261173,"residue":547},{"from_index":1385,"to_index":233,"sum":230645,"residue":224}],"minimal_cycle":[92,547,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[233,809],"circle_positions":863,"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":[234,810,1386],"clock_positions":[234,810,1386],"native_values":[241,223,399],"rotation_degrees":48.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,223,399],"beta":{"interval_sums":[251476,261431,230999],"interval_residues":[343,805,578],"display_cycle":[343,805,578],"intervals":[{"from_index":234,"to_index":810,"sum":251476,"residue":343},{"from_index":810,"to_index":1386,"sum":261431,"residue":805},{"from_index":1386,"to_index":234,"sum":230999,"residue":578}],"minimal_cycle":[343,805,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[234,810],"circle_positions":863,"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":[235,811,1387],"clock_positions":[235,811,1387],"native_values":[131,715,17],"rotation_degrees":48.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,715,17],"beta":{"interval_sums":[251568,261115,231223],"interval_residues":[435,489,802],"display_cycle":[435,489,802],"intervals":[{"from_index":235,"to_index":811,"sum":251568,"residue":435},{"from_index":811,"to_index":1387,"sum":261115,"residue":489},{"from_index":1387,"to_index":235,"sum":231223,"residue":802}],"minimal_cycle":[435,489,802],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[235,811],"circle_positions":863,"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":[236,812,1388],"clock_positions":[236,812,1388],"native_values":[372,75,416],"rotation_degrees":49.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,75,416],"beta":{"interval_sums":[251911,261057,230938],"interval_residues":[778,431,517],"display_cycle":[778,431,517],"intervals":[{"from_index":236,"to_index":812,"sum":251911,"residue":778},{"from_index":812,"to_index":1388,"sum":261057,"residue":431},{"from_index":1388,"to_index":236,"sum":230938,"residue":517}],"minimal_cycle":[778,431,517],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[236,812],"circle_positions":863,"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":[237,813,1389],"clock_positions":[237,813,1389],"native_values":[503,790,433],"rotation_degrees":49.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,790,433],"beta":{"interval_sums":[251483,260683,230877],"interval_residues":[350,57,456],"display_cycle":[350,57,456],"intervals":[{"from_index":237,"to_index":813,"sum":251483,"residue":350},{"from_index":813,"to_index":1389,"sum":260683,"residue":57},{"from_index":1389,"to_index":237,"sum":230877,"residue":456}],"minimal_cycle":[350,57,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[237,813],"circle_positions":863,"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":[238,814,1390],"clock_positions":[238,814,1390],"native_values":[12,2,849],"rotation_degrees":49.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,2,849],"beta":{"interval_sums":[252261,261114,230531],"interval_residues":[265,488,110],"display_cycle":[265,488,110],"intervals":[{"from_index":238,"to_index":814,"sum":252261,"residue":265},{"from_index":814,"to_index":1390,"sum":261114,"residue":488},{"from_index":1390,"to_index":238,"sum":230531,"residue":110}],"minimal_cycle":[265,488,110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[238,814],"circle_positions":863,"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":[239,815,1391],"clock_positions":[239,815,1391],"native_values":[515,792,419],"rotation_degrees":49.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,792,419],"beta":{"interval_sums":[251748,261171,230124],"interval_residues":[615,545,566],"display_cycle":[615,545,566],"intervals":[{"from_index":239,"to_index":815,"sum":251748,"residue":615},{"from_index":815,"to_index":1391,"sum":261171,"residue":545},{"from_index":1391,"to_index":239,"sum":230124,"residue":566}],"minimal_cycle":[615,545,566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[239,815],"circle_positions":863,"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":[240,816,1392],"clock_positions":[240,816,1392],"native_values":[527,794,405],"rotation_degrees":50.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,794,405],"beta":{"interval_sums":[252013,260796,230234],"interval_residues":[17,170,676],"display_cycle":[17,170,676],"intervals":[{"from_index":240,"to_index":816,"sum":252013,"residue":17},{"from_index":816,"to_index":1392,"sum":260796,"residue":170},{"from_index":1392,"to_index":240,"sum":230234,"residue":676}],"minimal_cycle":[17,170,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":17,"start_interval_clock_positions":[240,816],"circle_positions":863,"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":[241,817,1393],"clock_positions":[241,817,1393],"native_values":[179,723,824],"rotation_degrees":50.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,723,824],"beta":{"interval_sums":[252628,260478,229937],"interval_residues":[632,715,379],"display_cycle":[632,715,379],"intervals":[{"from_index":241,"to_index":817,"sum":252628,"residue":632},{"from_index":817,"to_index":1393,"sum":260478,"residue":715},{"from_index":1393,"to_index":241,"sum":229937,"residue":379}],"minimal_cycle":[632,715,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[241,817],"circle_positions":863,"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":[242,818,1394],"clock_positions":[242,818,1394],"native_values":[706,654,366],"rotation_degrees":50.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,654,366],"beta":{"interval_sums":[252645,260648,229750],"interval_residues":[649,22,192],"display_cycle":[649,22,192],"intervals":[{"from_index":242,"to_index":818,"sum":252645,"residue":649},{"from_index":818,"to_index":1394,"sum":260648,"residue":22},{"from_index":1394,"to_index":242,"sum":229750,"residue":192}],"minimal_cycle":[649,22,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":649,"start_interval_clock_positions":[242,818],"circle_positions":863,"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":[243,819,1395],"clock_positions":[243,819,1395],"native_values":[22,514,327],"rotation_degrees":50.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,514,327],"beta":{"interval_sums":[253277,260500,230129],"interval_residues":[418,737,571],"display_cycle":[418,737,571],"intervals":[{"from_index":243,"to_index":819,"sum":253277,"residue":418},{"from_index":819,"to_index":1395,"sum":260500,"residue":737},{"from_index":1395,"to_index":243,"sum":230129,"residue":571}],"minimal_cycle":[418,737,571],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[243,819],"circle_positions":863,"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":[244,820,1396],"clock_positions":[244,820,1396],"native_values":[728,305,693],"rotation_degrees":50.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[728,305,693],"beta":{"interval_sums":[253063,260522,229458],"interval_residues":[204,759,763],"display_cycle":[204,759,763],"intervals":[{"from_index":244,"to_index":820,"sum":253063,"residue":204},{"from_index":820,"to_index":1396,"sum":260522,"residue":759},{"from_index":1396,"to_index":244,"sum":229458,"residue":763}],"minimal_cycle":[204,759,763],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[244,820],"circle_positions":863,"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":[245,821,1397],"clock_positions":[245,821,1397],"native_values":[750,819,157],"rotation_degrees":51.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,819,157],"beta":{"interval_sums":[252618,260396,230029],"interval_residues":[622,633,471],"display_cycle":[622,633,471],"intervals":[{"from_index":245,"to_index":821,"sum":252618,"residue":622},{"from_index":821,"to_index":1397,"sum":260396,"residue":633},{"from_index":1397,"to_index":245,"sum":230029,"residue":471}],"minimal_cycle":[622,633,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[245,821],"circle_positions":863,"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":[246,822,1398],"clock_positions":[246,822,1398],"native_values":[615,261,850],"rotation_degrees":51.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,261,850],"beta":{"interval_sums":[252822,260292,229929],"interval_residues":[826,529,371],"display_cycle":[826,529,371],"intervals":[{"from_index":246,"to_index":822,"sum":252822,"residue":826},{"from_index":822,"to_index":1398,"sum":260292,"residue":529},{"from_index":1398,"to_index":246,"sum":229929,"residue":371}],"minimal_cycle":[826,529,371],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":826,"start_interval_clock_positions":[246,822],"circle_positions":863,"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":[247,823,1399],"clock_positions":[247,823,1399],"native_values":[502,217,144],"rotation_degrees":51.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,217,144],"beta":{"interval_sums":[252581,260925,230400],"interval_residues":[585,299,842],"display_cycle":[585,299,842],"intervals":[{"from_index":247,"to_index":823,"sum":252581,"residue":585},{"from_index":823,"to_index":1399,"sum":260925,"residue":299},{"from_index":1399,"to_index":247,"sum":230400,"residue":842}],"minimal_cycle":[585,299,842],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[247,823],"circle_positions":863,"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":[248,824,1400],"clock_positions":[248,824,1400],"native_values":[254,478,131],"rotation_degrees":51.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[254,478,131],"beta":{"interval_sums":[252544,260591,230771],"interval_residues":[548,828,350],"display_cycle":[548,828,350],"intervals":[{"from_index":248,"to_index":824,"sum":252544,"residue":548},{"from_index":824,"to_index":1400,"sum":260591,"residue":828},{"from_index":1400,"to_index":248,"sum":230771,"residue":350}],"minimal_cycle":[548,828,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[248,824],"circle_positions":863,"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":[249,825,1401],"clock_positions":[249,825,1401],"native_values":[756,695,275],"rotation_degrees":51.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[756,695,275],"beta":{"interval_sums":[252266,260027,230750],"interval_residues":[270,264,329],"display_cycle":[270,264,329],"intervals":[{"from_index":249,"to_index":825,"sum":252266,"residue":270},{"from_index":825,"to_index":1401,"sum":260027,"residue":264},{"from_index":1401,"to_index":249,"sum":230750,"residue":329}],"minimal_cycle":[270,264,329],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[249,825],"circle_positions":863,"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":[250,826,1402],"clock_positions":[250,826,1402],"native_values":[147,310,406],"rotation_degrees":52.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,310,406],"beta":{"interval_sums":[252814,259992,231100],"interval_residues":[818,229,679],"display_cycle":[818,229,679],"intervals":[{"from_index":250,"to_index":826,"sum":252814,"residue":818},{"from_index":826,"to_index":1402,"sum":259992,"residue":229},{"from_index":1402,"to_index":250,"sum":231100,"residue":679}],"minimal_cycle":[818,229,679],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":818,"start_interval_clock_positions":[250,826],"circle_positions":863,"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":[251,827,1403],"clock_positions":[251,827,1403],"native_values":[40,142,681],"rotation_degrees":52.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,142,681],"beta":{"interval_sums":[253084,260256,230566],"interval_residues":[225,493,145],"display_cycle":[225,493,145],"intervals":[{"from_index":251,"to_index":827,"sum":253084,"residue":225},{"from_index":827,"to_index":1403,"sum":260256,"residue":493},{"from_index":1403,"to_index":251,"sum":230566,"residue":145}],"minimal_cycle":[225,493,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[251,827],"circle_positions":863,"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":[252,828,1404],"clock_positions":[252,828,1404],"native_values":[187,452,224],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,452,224],"beta":{"interval_sums":[253039,260485,230382],"interval_residues":[180,722,824],"display_cycle":[180,722,824],"intervals":[{"from_index":252,"to_index":828,"sum":253039,"residue":180},{"from_index":828,"to_index":1404,"sum":260485,"residue":722},{"from_index":1404,"to_index":252,"sum":230382,"residue":824}],"minimal_cycle":[180,722,824],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[252,828],"circle_positions":863,"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":[253,829,1405],"clock_positions":[253,829,1405],"native_values":[227,594,42],"rotation_degrees":52.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,594,42],"beta":{"interval_sums":[253264,260115,230527],"interval_residues":[405,352,106],"display_cycle":[405,352,106],"intervals":[{"from_index":253,"to_index":829,"sum":253264,"residue":405},{"from_index":829,"to_index":1405,"sum":260115,"residue":352},{"from_index":1405,"to_index":253,"sum":230527,"residue":106}],"minimal_cycle":[405,352,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[253,829],"circle_positions":863,"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":[254,830,1406],"clock_positions":[254,830,1406],"native_values":[414,183,266],"rotation_degrees":52.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,183,266],"beta":{"interval_sums":[253444,259974,230488],"interval_residues":[585,211,67],"display_cycle":[585,211,67],"intervals":[{"from_index":254,"to_index":830,"sum":253444,"residue":585},{"from_index":830,"to_index":1406,"sum":259974,"residue":211},{"from_index":1406,"to_index":254,"sum":230488,"residue":67}],"minimal_cycle":[585,211,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[254,830],"circle_positions":863,"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":[255,831,1407],"clock_positions":[255,831,1407],"native_values":[641,777,308],"rotation_degrees":53.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,777,308],"beta":{"interval_sums":[252986,259463,230594],"interval_residues":[127,563,173],"display_cycle":[127,563,173],"intervals":[{"from_index":255,"to_index":831,"sum":252986,"residue":127},{"from_index":831,"to_index":1407,"sum":259463,"residue":563},{"from_index":1407,"to_index":255,"sum":230594,"residue":173}],"minimal_cycle":[127,563,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[255,831],"circle_positions":863,"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":[256,832,1408],"clock_positions":[256,832,1408],"native_values":[192,97,574],"rotation_degrees":53.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,97,574],"beta":{"interval_sums":[253571,259674,230661],"interval_residues":[712,774,240],"display_cycle":[712,774,240],"intervals":[{"from_index":256,"to_index":832,"sum":253571,"residue":712},{"from_index":832,"to_index":1408,"sum":259674,"residue":774},{"from_index":1408,"to_index":256,"sum":230661,"residue":240}],"minimal_cycle":[712,774,240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[256,832],"circle_positions":863,"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":[257,833,1409],"clock_positions":[257,833,1409],"native_values":[833,11,19],"rotation_degrees":53.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,11,19],"beta":{"interval_sums":[252835,260237,230834],"interval_residues":[839,474,413],"display_cycle":[839,474,413],"intervals":[{"from_index":257,"to_index":833,"sum":252835,"residue":839},{"from_index":833,"to_index":1409,"sum":260237,"residue":474},{"from_index":1409,"to_index":257,"sum":230834,"residue":413}],"minimal_cycle":[839,474,413],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":839,"start_interval_clock_positions":[257,833],"circle_positions":863,"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":[258,834,1410],"clock_positions":[258,834,1410],"native_values":[162,108,593],"rotation_degrees":53.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,108,593],"beta":{"interval_sums":[252684,260148,231074],"interval_residues":[688,385,653],"display_cycle":[688,385,653],"intervals":[{"from_index":258,"to_index":834,"sum":252684,"residue":688},{"from_index":834,"to_index":1410,"sum":260148,"residue":385},{"from_index":1410,"to_index":258,"sum":231074,"residue":653}],"minimal_cycle":[688,385,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[258,834],"circle_positions":863,"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":[259,835,1411],"clock_positions":[259,835,1411],"native_values":[132,119,612],"rotation_degrees":53.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,119,612],"beta":{"interval_sums":[252660,260622,230624],"interval_residues":[664,859,203],"display_cycle":[664,859,203],"intervals":[{"from_index":259,"to_index":835,"sum":252660,"residue":664},{"from_index":835,"to_index":1411,"sum":260622,"residue":859},{"from_index":1411,"to_index":259,"sum":230624,"residue":203}],"minimal_cycle":[664,859,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[259,835],"circle_positions":863,"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":[260,836,1412],"clock_positions":[260,836,1412],"native_values":[294,227,342],"rotation_degrees":54.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,227,342],"beta":{"interval_sums":[252485,261007,230414],"interval_residues":[489,381,856],"display_cycle":[489,381,856],"intervals":[{"from_index":260,"to_index":836,"sum":252485,"residue":489},{"from_index":836,"to_index":1412,"sum":261007,"residue":381},{"from_index":1412,"to_index":260,"sum":230414,"residue":856}],"minimal_cycle":[489,381,856],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[260,836],"circle_positions":863,"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":[261,837,1413],"clock_positions":[261,837,1413],"native_values":[426,346,91],"rotation_degrees":54.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,346,91],"beta":{"interval_sums":[252286,261003,230617],"interval_residues":[290,377,196],"display_cycle":[290,377,196],"intervals":[{"from_index":261,"to_index":837,"sum":252286,"residue":290},{"from_index":837,"to_index":1413,"sum":261003,"residue":377},{"from_index":1413,"to_index":261,"sum":230617,"residue":196}],"minimal_cycle":[290,377,196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[261,837],"circle_positions":863,"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":[262,838,1414],"clock_positions":[262,838,1414],"native_values":[720,573,433],"rotation_degrees":54.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,573,433],"beta":{"interval_sums":[251912,260521,230610],"interval_residues":[779,758,189],"display_cycle":[779,758,189],"intervals":[{"from_index":262,"to_index":838,"sum":251912,"residue":779},{"from_index":838,"to_index":1414,"sum":260521,"residue":758},{"from_index":1414,"to_index":262,"sum":230610,"residue":189}],"minimal_cycle":[779,758,189],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":779,"start_interval_clock_positions":[262,838],"circle_positions":863,"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":[263,839,1415],"clock_positions":[263,839,1415],"native_values":[283,56,524],"rotation_degrees":54.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,56,524],"beta":{"interval_sums":[252202,260898,230806],"interval_residues":[206,272,385],"display_cycle":[206,272,385],"intervals":[{"from_index":263,"to_index":839,"sum":252202,"residue":206},{"from_index":839,"to_index":1415,"sum":260898,"residue":272},{"from_index":1415,"to_index":263,"sum":230806,"residue":385}],"minimal_cycle":[206,272,385],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[263,839],"circle_positions":863,"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":[264,840,1416],"clock_positions":[264,840,1416],"native_values":[140,629,94],"rotation_degrees":55.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,629,94],"beta":{"interval_sums":[252118,260793,230995],"interval_residues":[122,167,574],"display_cycle":[122,167,574],"intervals":[{"from_index":264,"to_index":840,"sum":252118,"residue":122},{"from_index":840,"to_index":1416,"sum":260793,"residue":167},{"from_index":1416,"to_index":264,"sum":230995,"residue":574}],"minimal_cycle":[122,167,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[264,840],"circle_positions":863,"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":[265,841,1417],"clock_positions":[265,841,1417],"native_values":[423,685,618],"rotation_degrees":55.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,685,618],"beta":{"interval_sums":[252324,260202,230517],"interval_residues":[328,439,96],"display_cycle":[328,439,96],"intervals":[{"from_index":265,"to_index":841,"sum":252324,"residue":328},{"from_index":841,"to_index":1417,"sum":260202,"residue":439},{"from_index":1417,"to_index":265,"sum":230517,"residue":96}],"minimal_cycle":[328,439,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[265,841],"circle_positions":863,"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":[266,842,1418],"clock_positions":[266,842,1418],"native_values":[563,451,712],"rotation_degrees":55.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,451,712],"beta":{"interval_sums":[252446,260369,230228],"interval_residues":[450,606,670],"display_cycle":[450,606,670],"intervals":[{"from_index":266,"to_index":842,"sum":252446,"residue":450},{"from_index":842,"to_index":1418,"sum":260369,"residue":606},{"from_index":1418,"to_index":266,"sum":230228,"residue":670}],"minimal_cycle":[450,606,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[266,842],"circle_positions":863,"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":[267,843,1419],"clock_positions":[267,843,1419],"native_values":[123,273,467],"rotation_degrees":55.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,273,467],"beta":{"interval_sums":[252774,260808,230324],"interval_residues":[778,182,766],"display_cycle":[778,182,766],"intervals":[{"from_index":267,"to_index":843,"sum":252774,"residue":778},{"from_index":843,"to_index":1419,"sum":260808,"residue":182},{"from_index":1419,"to_index":267,"sum":230324,"residue":766}],"minimal_cycle":[778,182,766],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[267,843],"circle_positions":863,"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":[268,844,1420],"clock_positions":[268,844,1420],"native_values":[686,724,316],"rotation_degrees":55.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,724,316],"beta":{"interval_sums":[252361,260551,230131],"interval_residues":[365,788,573],"display_cycle":[365,788,573],"intervals":[{"from_index":268,"to_index":844,"sum":252361,"residue":365},{"from_index":844,"to_index":1420,"sum":260551,"residue":788},{"from_index":1420,"to_index":268,"sum":230131,"residue":573}],"minimal_cycle":[365,788,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[268,844],"circle_positions":863,"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":[269,845,1421],"clock_positions":[269,845,1421],"native_values":[809,134,783],"rotation_degrees":56.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[809,134,783],"beta":{"interval_sums":[252276,260733,230034],"interval_residues":[280,107,476],"display_cycle":[280,107,476],"intervals":[{"from_index":269,"to_index":845,"sum":252276,"residue":280},{"from_index":845,"to_index":1421,"sum":260733,"residue":107},{"from_index":1421,"to_index":269,"sum":230034,"residue":476}],"minimal_cycle":[280,107,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[269,845],"circle_positions":863,"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":[270,846,1422],"clock_positions":[270,846,1422],"native_values":[632,858,236],"rotation_degrees":56.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,858,236],"beta":{"interval_sums":[251778,260658,230607],"interval_residues":[645,32,186],"display_cycle":[645,32,186],"intervals":[{"from_index":270,"to_index":846,"sum":251778,"residue":645},{"from_index":846,"to_index":1422,"sum":260658,"residue":32},{"from_index":1422,"to_index":270,"sum":230607,"residue":186}],"minimal_cycle":[645,32,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[270,846],"circle_positions":863,"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":[271,847,1423],"clock_positions":[271,847,1423],"native_values":[578,129,156],"rotation_degrees":56.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,129,156],"beta":{"interval_sums":[252058,260765,231083],"interval_residues":[62,139,662],"display_cycle":[62,139,662],"intervals":[{"from_index":271,"to_index":847,"sum":252058,"residue":62},{"from_index":847,"to_index":1423,"sum":260765,"residue":139},{"from_index":1423,"to_index":271,"sum":231083,"residue":662}],"minimal_cycle":[62,139,662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[271,847],"circle_positions":863,"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":[272,848,1424],"clock_positions":[272,848,1424],"native_values":[347,124,392],"rotation_degrees":56.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,124,392],"beta":{"interval_sums":[251840,260797,231269],"interval_residues":[707,171,848],"display_cycle":[707,171,848],"intervals":[{"from_index":272,"to_index":848,"sum":251840,"residue":707},{"from_index":848,"to_index":1424,"sum":260797,"residue":171},{"from_index":1424,"to_index":272,"sum":231269,"residue":848}],"minimal_cycle":[707,171,848],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[272,848],"circle_positions":863,"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":[273,849,1425],"clock_positions":[273,849,1425],"native_values":[62,253,548],"rotation_degrees":56.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,253,548],"beta":{"interval_sums":[251902,260936,231068],"interval_residues":[769,310,647],"display_cycle":[769,310,647],"intervals":[{"from_index":273,"to_index":849,"sum":251902,"residue":769},{"from_index":849,"to_index":1425,"sum":260936,"residue":310},{"from_index":1425,"to_index":273,"sum":231068,"residue":647}],"minimal_cycle":[769,310,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":769,"start_interval_clock_positions":[273,849],"circle_positions":863,"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":[274,850,1426],"clock_positions":[274,850,1426],"native_values":[409,377,77],"rotation_degrees":57.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,377,77],"beta":{"interval_sums":[251746,261107,231053],"interval_residues":[613,481,632],"display_cycle":[613,481,632],"intervals":[{"from_index":274,"to_index":850,"sum":251746,"residue":613},{"from_index":850,"to_index":1426,"sum":261107,"residue":481},{"from_index":1426,"to_index":274,"sum":231053,"residue":632}],"minimal_cycle":[613,481,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[274,850],"circle_positions":863,"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":[275,851,1427],"clock_positions":[275,851,1427],"native_values":[471,630,625],"rotation_degrees":57.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,630,625],"beta":{"interval_sums":[251652,260554,230837],"interval_residues":[519,791,416],"display_cycle":[519,791,416],"intervals":[{"from_index":275,"to_index":851,"sum":251652,"residue":519},{"from_index":851,"to_index":1427,"sum":260554,"residue":791},{"from_index":1427,"to_index":275,"sum":230837,"residue":416}],"minimal_cycle":[519,791,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[275,851],"circle_positions":863,"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":[276,852,1428],"clock_positions":[276,852,1428],"native_values":[17,144,702],"rotation_degrees":57.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,144,702],"beta":{"interval_sums":[252265,261035,230606],"interval_residues":[269,409,185],"display_cycle":[269,409,185],"intervals":[{"from_index":276,"to_index":852,"sum":252265,"residue":269},{"from_index":852,"to_index":1428,"sum":261035,"residue":409},{"from_index":1428,"to_index":276,"sum":230606,"residue":185}],"minimal_cycle":[269,409,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":269,"start_interval_clock_positions":[276,852],"circle_positions":863,"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":[277,853,1429],"clock_positions":[277,853,1429],"native_values":[488,774,464],"rotation_degrees":57.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[488,774,464],"beta":{"interval_sums":[251921,260963,230159],"interval_residues":[788,337,601],"display_cycle":[788,337,601],"intervals":[{"from_index":277,"to_index":853,"sum":251921,"residue":788},{"from_index":853,"to_index":1429,"sum":260963,"residue":337},{"from_index":1429,"to_index":277,"sum":230159,"residue":601}],"minimal_cycle":[788,337,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":788,"start_interval_clock_positions":[277,853],"circle_positions":863,"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":[278,854,1430],"clock_positions":[278,854,1430],"native_values":[505,55,303],"rotation_degrees":57.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,55,303],"beta":{"interval_sums":[252190,261372,230344],"interval_residues":[194,746,786],"display_cycle":[194,746,786],"intervals":[{"from_index":278,"to_index":854,"sum":252190,"residue":194},{"from_index":854,"to_index":1430,"sum":261372,"residue":746},{"from_index":1430,"to_index":278,"sum":230344,"residue":786}],"minimal_cycle":[194,746,786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[278,854],"circle_positions":863,"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":[279,855,1431],"clock_positions":[279,855,1431],"native_values":[130,829,767],"rotation_degrees":58.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,829,767],"beta":{"interval_sums":[252115,260846,230082],"interval_residues":[119,220,524],"display_cycle":[119,220,524],"intervals":[{"from_index":279,"to_index":855,"sum":252115,"residue":119},{"from_index":855,"to_index":1431,"sum":260846,"residue":220},{"from_index":1431,"to_index":279,"sum":230082,"residue":524}],"minimal_cycle":[119,220,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[279,855],"circle_positions":863,"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":[280,856,1432],"clock_positions":[280,856,1432],"native_values":[635,21,207],"rotation_degrees":58.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,21,207],"beta":{"interval_sums":[252309,261592,230005],"interval_residues":[313,103,447],"display_cycle":[313,103,447],"intervals":[{"from_index":280,"to_index":856,"sum":252309,"residue":313},{"from_index":856,"to_index":1432,"sum":261592,"residue":103},{"from_index":1432,"to_index":280,"sum":230005,"residue":447}],"minimal_cycle":[313,103,447],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[280,856],"circle_positions":863,"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":[281,857,1433],"clock_positions":[281,857,1433],"native_values":[765,850,111],"rotation_degrees":58.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,850,111],"beta":{"interval_sums":[251565,260949,230529],"interval_residues":[432,323,108],"display_cycle":[432,323,108],"intervals":[{"from_index":281,"to_index":857,"sum":251565,"residue":432},{"from_index":857,"to_index":1433,"sum":260949,"residue":323},{"from_index":1433,"to_index":281,"sum":230529,"residue":108}],"minimal_cycle":[432,323,108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[281,857],"circle_positions":863,"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":[282,858,1434],"clock_positions":[282,858,1434],"native_values":[537,8,318],"rotation_degrees":58.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,8,318],"beta":{"interval_sums":[251878,261052,230976],"interval_residues":[745,426,555],"display_cycle":[745,426,555],"intervals":[{"from_index":282,"to_index":858,"sum":251878,"residue":745},{"from_index":858,"to_index":1434,"sum":261052,"residue":426},{"from_index":1434,"to_index":282,"sum":230976,"residue":555}],"minimal_cycle":[745,426,555],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[282,858],"circle_positions":863,"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":[283,859,1435],"clock_positions":[283,859,1435],"native_values":[439,858,429],"rotation_degrees":58.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,858,429],"beta":{"interval_sums":[251447,260512,231084],"interval_residues":[314,749,663],"display_cycle":[314,749,663],"intervals":[{"from_index":283,"to_index":859,"sum":251447,"residue":314},{"from_index":859,"to_index":1435,"sum":260512,"residue":749},{"from_index":1435,"to_index":283,"sum":231084,"residue":663}],"minimal_cycle":[314,749,663],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[283,859],"circle_positions":863,"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":[284,860,1436],"clock_positions":[284,860,1436],"native_values":[113,3,747],"rotation_degrees":59.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,3,747],"beta":{"interval_sums":[252192,260938,230776],"interval_residues":[196,312,355],"display_cycle":[196,312,355],"intervals":[{"from_index":284,"to_index":860,"sum":252192,"residue":196},{"from_index":860,"to_index":1436,"sum":260938,"residue":312},{"from_index":1436,"to_index":284,"sum":230776,"residue":355}],"minimal_cycle":[196,312,355],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[284,860],"circle_positions":863,"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":[285,861,1437],"clock_positions":[285,861,1437],"native_values":[552,861,313],"rotation_degrees":59.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,861,313],"beta":{"interval_sums":[251643,260824,230576],"interval_residues":[510,198,155],"display_cycle":[510,198,155],"intervals":[{"from_index":285,"to_index":861,"sum":251643,"residue":510},{"from_index":861,"to_index":1437,"sum":260824,"residue":198},{"from_index":1437,"to_index":285,"sum":230576,"residue":155}],"minimal_cycle":[510,198,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[285,861],"circle_positions":863,"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":[286,862,1438],"clock_positions":[286,862,1438],"native_values":[665,1,197],"rotation_degrees":59.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,1,197],"beta":{"interval_sums":[251839,261136,230931],"interval_residues":[706,510,510],"display_cycle":[706,510,510],"intervals":[{"from_index":286,"to_index":862,"sum":251839,"residue":706},{"from_index":862,"to_index":1438,"sum":261136,"residue":510},{"from_index":1438,"to_index":286,"sum":230931,"residue":510}],"minimal_cycle":[706,510,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[286,862],"circle_positions":863,"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":[287,863,1439],"clock_positions":[287,863,1439],"native_values":[354,862,510],"rotation_degrees":59.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,862,510],"beta":{"interval_sums":[251486,260471,231086],"interval_residues":[353,708,665],"display_cycle":[353,708,665],"intervals":[{"from_index":287,"to_index":863,"sum":251486,"residue":353},{"from_index":863,"to_index":1439,"sum":260471,"residue":708},{"from_index":1439,"to_index":287,"sum":231086,"residue":665}],"minimal_cycle":[353,708,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[287,863],"circle_positions":863,"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":[288,864,1440],"clock_positions":[288,864,1440],"native_values":[156,863,707],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,863,707],"beta":{"interval_sums":[252192,260981,230733],"interval_residues":[196,355,312],"display_cycle":[196,355,312],"intervals":[{"from_index":288,"to_index":864,"sum":252192,"residue":196},{"from_index":864,"to_index":1440,"sum":260981,"residue":355},{"from_index":1440,"to_index":288,"sum":230733,"residue":312}],"minimal_cycle":[196,355,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[288,864],"circle_positions":863,"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":[289,865,1441],"clock_positions":[289,865,1441],"native_values":[510,862,354],"rotation_degrees":60.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,862,354],"beta":{"interval_sums":[251682,260826,230535],"interval_residues":[549,200,114],"display_cycle":[549,200,114],"intervals":[{"from_index":289,"to_index":865,"sum":251682,"residue":549},{"from_index":865,"to_index":1441,"sum":260826,"residue":200},{"from_index":1441,"to_index":289,"sum":230535,"residue":114}],"minimal_cycle":[549,200,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":549,"start_interval_clock_positions":[289,865],"circle_positions":863,"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":[290,866,1442],"clock_positions":[290,866,1442],"native_values":[666,862,198],"rotation_degrees":60.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,862,198],"beta":{"interval_sums":[251878,260318,230847],"interval_residues":[745,555,426],"display_cycle":[745,555,426],"intervals":[{"from_index":290,"to_index":866,"sum":251878,"residue":745},{"from_index":866,"to_index":1442,"sum":260318,"residue":555},{"from_index":1442,"to_index":290,"sum":230847,"residue":426}],"minimal_cycle":[745,555,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[290,866],"circle_positions":863,"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":[291,867,1443],"clock_positions":[291,867,1443],"native_values":[313,861,552],"rotation_degrees":60.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,861,552],"beta":{"interval_sums":[252427,259655,230961],"interval_residues":[431,755,540],"display_cycle":[431,755,540],"intervals":[{"from_index":291,"to_index":867,"sum":252427,"residue":431},{"from_index":867,"to_index":1443,"sum":259655,"residue":755},{"from_index":1443,"to_index":291,"sum":230961,"residue":540}],"minimal_cycle":[431,755,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[291,867],"circle_positions":863,"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":[292,868,1444],"clock_positions":[292,868,1444],"native_values":[116,860,750],"rotation_degrees":60.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[116,860,750],"beta":{"interval_sums":[253172,259347,230524],"interval_residues":[313,447,103],"display_cycle":[313,447,103],"intervals":[{"from_index":292,"to_index":868,"sum":253172,"residue":313},{"from_index":868,"to_index":1444,"sum":259347,"residue":447},{"from_index":1444,"to_index":292,"sum":230524,"residue":103}],"minimal_cycle":[313,447,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[292,868],"circle_positions":863,"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":[293,869,1445],"clock_positions":[293,869,1445],"native_values":[429,858,439],"rotation_degrees":61.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,858,439],"beta":{"interval_sums":[253603,259239,230201],"interval_residues":[744,339,643],"display_cycle":[744,339,643],"intervals":[{"from_index":293,"to_index":869,"sum":253603,"residue":744},{"from_index":869,"to_index":1445,"sum":259239,"residue":339},{"from_index":1445,"to_index":293,"sum":230201,"residue":643}],"minimal_cycle":[744,339,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":744,"start_interval_clock_positions":[293,869],"circle_positions":863,"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":[294,870,1446],"clock_positions":[294,870,1446],"native_values":[545,855,326],"rotation_degrees":61.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,855,326],"beta":{"interval_sums":[253916,258823,230304],"interval_residues":[194,786,746],"display_cycle":[194,786,746],"intervals":[{"from_index":294,"to_index":870,"sum":253916,"residue":194},{"from_index":870,"to_index":1446,"sum":258823,"residue":786},{"from_index":1446,"to_index":294,"sum":230304,"residue":746}],"minimal_cycle":[194,786,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[294,870],"circle_positions":863,"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":[295,871,1447],"clock_positions":[295,871,1447],"native_values":[111,850,765],"rotation_degrees":61.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,850,765],"beta":{"interval_sums":[254660,258299,230084],"interval_residues":[75,262,526],"display_cycle":[75,262,526],"intervals":[{"from_index":295,"to_index":871,"sum":254660,"residue":75},{"from_index":871,"to_index":1447,"sum":258299,"residue":262},{"from_index":1447,"to_index":295,"sum":230084,"residue":526}],"minimal_cycle":[75,262,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[295,871],"circle_positions":863,"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":[296,872,1448],"clock_positions":[296,872,1448],"native_values":[656,842,228],"rotation_degrees":61.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[656,842,228],"beta":{"interval_sums":[254854,258222,229967],"interval_residues":[269,185,409],"display_cycle":[269,185,409],"intervals":[{"from_index":296,"to_index":872,"sum":254854,"residue":269},{"from_index":872,"to_index":1448,"sum":258222,"residue":185},{"from_index":1448,"to_index":296,"sum":229967,"residue":409}],"minimal_cycle":[269,185,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":269,"start_interval_clock_positions":[296,872],"circle_positions":863,"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":[297,873,1449],"clock_positions":[297,873,1449],"native_values":[767,829,130],"rotation_degrees":61.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,829,130],"beta":{"interval_sums":[254929,257621,230493],"interval_residues":[344,447,72],"display_cycle":[344,447,72],"intervals":[{"from_index":297,"to_index":873,"sum":254929,"residue":344},{"from_index":873,"to_index":1449,"sum":257621,"residue":447},{"from_index":1449,"to_index":297,"sum":230493,"residue":72}],"minimal_cycle":[344,447,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[297,873],"circle_positions":863,"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":[298,874,1450],"clock_positions":[298,874,1450],"native_values":[560,808,358],"rotation_degrees":62.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,808,358],"beta":{"interval_sums":[255198,256943,230902],"interval_residues":[613,632,481],"display_cycle":[613,632,481],"intervals":[{"from_index":298,"to_index":874,"sum":255198,"residue":613},{"from_index":874,"to_index":1450,"sum":256943,"residue":632},{"from_index":1450,"to_index":298,"sum":230902,"residue":481}],"minimal_cycle":[613,632,481],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[298,874],"circle_positions":863,"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":[299,875,1451],"clock_positions":[299,875,1451],"native_values":[464,774,488],"rotation_degrees":62.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,774,488],"beta":{"interval_sums":[255542,256527,230974],"interval_residues":[94,216,553],"display_cycle":[94,216,553],"intervals":[{"from_index":299,"to_index":875,"sum":255542,"residue":94},{"from_index":875,"to_index":1451,"sum":256527,"residue":216},{"from_index":1451,"to_index":299,"sum":230974,"residue":553}],"minimal_cycle":[94,216,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[299,875],"circle_positions":863,"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":[300,876,1452],"clock_positions":[300,876,1452],"native_values":[161,719,846],"rotation_degrees":62.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,719,846],"beta":{"interval_sums":[256155,256296,230592],"interval_residues":[707,848,171],"display_cycle":[707,848,171],"intervals":[{"from_index":300,"to_index":876,"sum":256155,"residue":707},{"from_index":876,"to_index":1452,"sum":256296,"residue":848},{"from_index":1452,"to_index":300,"sum":230592,"residue":171}],"minimal_cycle":[707,848,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[300,876],"circle_positions":863,"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":[301,877,1453],"clock_positions":[301,877,1453],"native_values":[625,630,471],"rotation_degrees":62.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,630,471],"beta":{"interval_sums":[256249,256512,230282],"interval_residues":[801,201,724],"display_cycle":[801,201,724],"intervals":[{"from_index":301,"to_index":877,"sum":256249,"residue":801},{"from_index":877,"to_index":1453,"sum":256512,"residue":201},{"from_index":1453,"to_index":301,"sum":230282,"residue":724}],"minimal_cycle":[801,201,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":801,"start_interval_clock_positions":[301,877],"circle_positions":863,"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":[302,878,1454],"clock_positions":[302,878,1454],"native_values":[786,486,454],"rotation_degrees":62.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[786,486,454],"beta":{"interval_sums":[256093,256497,230453],"interval_residues":[645,186,32],"display_cycle":[645,186,32],"intervals":[{"from_index":302,"to_index":878,"sum":256093,"residue":645},{"from_index":878,"to_index":1454,"sum":256497,"residue":186},{"from_index":1454,"to_index":302,"sum":230453,"residue":32}],"minimal_cycle":[645,186,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[302,878],"circle_positions":863,"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":[303,879,1455],"clock_positions":[303,879,1455],"native_values":[548,253,62],"rotation_degrees":63.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,253,62],"beta":{"interval_sums":[256031,256698,231177],"interval_residues":[583,387,756],"display_cycle":[583,387,756],"intervals":[{"from_index":303,"to_index":879,"sum":256031,"residue":583},{"from_index":879,"to_index":1455,"sum":256698,"residue":387},{"from_index":1455,"to_index":303,"sum":231177,"residue":756}],"minimal_cycle":[583,387,756],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[303,879],"circle_positions":863,"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":[304,880,1456],"clock_positions":[304,880,1456],"native_values":[471,739,516],"rotation_degrees":63.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,739,516],"beta":{"interval_sums":[255813,256021,231209],"interval_residues":[365,573,788],"display_cycle":[365,573,788],"intervals":[{"from_index":304,"to_index":880,"sum":255813,"residue":365},{"from_index":880,"to_index":1456,"sum":256021,"residue":573},{"from_index":1456,"to_index":304,"sum":231209,"residue":788}],"minimal_cycle":[365,573,788],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[304,880],"circle_positions":863,"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":[305,881,1457],"clock_positions":[305,881,1457],"native_values":[156,129,578],"rotation_degrees":63.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,129,578],"beta":{"interval_sums":[256396,256408,231102],"interval_residues":[85,97,681],"display_cycle":[85,97,681],"intervals":[{"from_index":305,"to_index":881,"sum":256396,"residue":85},{"from_index":881,"to_index":1457,"sum":256408,"residue":97},{"from_index":1457,"to_index":305,"sum":231102,"residue":681}],"minimal_cycle":[85,97,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[305,881],"circle_positions":863,"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":[306,882,1458],"clock_positions":[306,882,1458],"native_values":[627,5,231],"rotation_degrees":63.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,5,231],"beta":{"interval_sums":[255898,256981,231027],"interval_residues":[450,670,606],"display_cycle":[450,670,606],"intervals":[{"from_index":306,"to_index":882,"sum":255898,"residue":450},{"from_index":882,"to_index":1458,"sum":256981,"residue":670},{"from_index":1458,"to_index":306,"sum":231027,"residue":606}],"minimal_cycle":[450,670,606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[306,882],"circle_positions":863,"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":[307,883,1459],"clock_positions":[307,883,1459],"native_values":[783,134,809],"rotation_degrees":63.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[783,134,809],"beta":{"interval_sums":[255120,257078,230845],"interval_residues":[535,767,424],"display_cycle":[535,767,424],"intervals":[{"from_index":307,"to_index":883,"sum":255120,"residue":535},{"from_index":883,"to_index":1459,"sum":257078,"residue":767},{"from_index":1459,"to_index":307,"sum":230845,"residue":424}],"minimal_cycle":[535,767,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":535,"start_interval_clock_positions":[307,883],"circle_positions":863,"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":[308,884,1460],"clock_positions":[308,884,1460],"native_values":[547,139,177],"rotation_degrees":64.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,139,177],"beta":{"interval_sums":[254707,257748,231451],"interval_residues":[122,574,167],"display_cycle":[122,574,167],"intervals":[{"from_index":308,"to_index":884,"sum":254707,"residue":122},{"from_index":884,"to_index":1460,"sum":257748,"residue":574},{"from_index":1460,"to_index":308,"sum":231451,"residue":167}],"minimal_cycle":[122,574,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[308,884],"circle_positions":863,"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":[309,885,1461],"clock_positions":[309,885,1461],"native_values":[467,273,123],"rotation_degrees":64.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,273,123],"beta":{"interval_sums":[254379,257652,231875],"interval_residues":[657,478,591],"display_cycle":[657,478,591],"intervals":[{"from_index":309,"to_index":885,"sum":254379,"residue":657},{"from_index":885,"to_index":1461,"sum":257652,"residue":478},{"from_index":1461,"to_index":309,"sum":231875,"residue":591}],"minimal_cycle":[657,478,591],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[309,885],"circle_positions":863,"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":[310,886,1462],"clock_positions":[310,886,1462],"native_values":[151,412,300],"rotation_degrees":64.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,412,300],"beta":{"interval_sums":[254501,257363,232042],"interval_residues":[779,189,758],"display_cycle":[779,189,758],"intervals":[{"from_index":310,"to_index":886,"sum":254501,"residue":779},{"from_index":886,"to_index":1462,"sum":257363,"residue":189},{"from_index":1462,"to_index":310,"sum":232042,"residue":758}],"minimal_cycle":[779,189,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":779,"start_interval_clock_positions":[310,886],"circle_positions":863,"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":[311,887,1463],"clock_positions":[311,887,1463],"native_values":[618,685,423],"rotation_degrees":64.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[618,685,423],"beta":{"interval_sums":[254295,256978,231770],"interval_residues":[573,667,486],"display_cycle":[573,667,486],"intervals":[{"from_index":311,"to_index":887,"sum":254295,"residue":573},{"from_index":887,"to_index":1463,"sum":256978,"residue":667},{"from_index":1463,"to_index":311,"sum":231770,"residue":486}],"minimal_cycle":[573,667,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[311,887],"circle_positions":863,"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":[312,888,1464],"clock_positions":[312,888,1464],"native_values":[769,234,723],"rotation_degrees":65.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,234,723],"beta":{"interval_sums":[254211,257167,231665],"interval_residues":[489,856,381],"display_cycle":[489,856,381],"intervals":[{"from_index":312,"to_index":888,"sum":254211,"residue":489},{"from_index":888,"to_index":1464,"sum":257167,"residue":856},{"from_index":1464,"to_index":312,"sum":231665,"residue":381}],"minimal_cycle":[489,856,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[312,888],"circle_positions":863,"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":[313,889,1465],"clock_positions":[313,889,1465],"native_values":[524,56,283],"rotation_degrees":65.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,56,283],"beta":{"interval_sums":[253921,257834,232151],"interval_residues":[199,660,4],"display_cycle":[199,660,4],"intervals":[{"from_index":313,"to_index":889,"sum":253921,"residue":199},{"from_index":889,"to_index":1465,"sum":257834,"residue":660},{"from_index":1465,"to_index":313,"sum":232151,"residue":4}],"minimal_cycle":[199,660,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[313,889],"circle_positions":863,"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":[314,890,1466],"clock_positions":[314,890,1466],"native_values":[430,290,143],"rotation_degrees":65.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[430,290,143],"beta":{"interval_sums":[253547,257827,232532],"interval_residues":[688,653,385],"display_cycle":[688,653,385],"intervals":[{"from_index":314,"to_index":890,"sum":253547,"residue":688},{"from_index":890,"to_index":1466,"sum":257827,"residue":653},{"from_index":1466,"to_index":314,"sum":232532,"residue":385}],"minimal_cycle":[688,653,385],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[314,890],"circle_positions":863,"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":[315,891,1467],"clock_positions":[315,891,1467],"native_values":[91,346,426],"rotation_degrees":65.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,346,426],"beta":{"interval_sums":[253746,257624,232536],"interval_residues":[24,450,389],"display_cycle":[24,450,389],"intervals":[{"from_index":315,"to_index":891,"sum":253746,"residue":24},{"from_index":891,"to_index":1467,"sum":257624,"residue":450},{"from_index":1467,"to_index":315,"sum":232536,"residue":389}],"minimal_cycle":[24,450,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[315,891],"circle_positions":863,"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":[316,892,1468],"clock_positions":[316,892,1468],"native_values":[521,636,569],"rotation_degrees":65.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,636,569],"beta":{"interval_sums":[253571,257414,232058],"interval_residues":[712,240,774],"display_cycle":[712,240,774],"intervals":[{"from_index":316,"to_index":892,"sum":253571,"residue":712},{"from_index":892,"to_index":1468,"sum":257414,"residue":240},{"from_index":1468,"to_index":316,"sum":232058,"residue":774}],"minimal_cycle":[712,240,774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[316,892],"circle_positions":863,"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":[317,893,1469],"clock_positions":[317,893,1469],"native_values":[612,119,132],"rotation_degrees":66.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[612,119,132],"beta":{"interval_sums":[253595,257864,232447],"interval_residues":[736,690,300],"display_cycle":[736,690,300],"intervals":[{"from_index":317,"to_index":893,"sum":253595,"residue":736},{"from_index":893,"to_index":1469,"sum":257864,"residue":690},{"from_index":1469,"to_index":317,"sum":232447,"residue":300}],"minimal_cycle":[736,690,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[317,893],"circle_positions":863,"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":[318,894,1470],"clock_positions":[318,894,1470],"native_values":[270,755,701],"rotation_degrees":66.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,755,701],"beta":{"interval_sums":[253444,257241,232358],"interval_residues":[585,67,211],"display_cycle":[585,67,211],"intervals":[{"from_index":318,"to_index":894,"sum":253444,"residue":585},{"from_index":894,"to_index":1470,"sum":257241,"residue":67},{"from_index":1470,"to_index":318,"sum":232358,"residue":211}],"minimal_cycle":[585,67,211],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[318,894],"circle_positions":863,"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":[319,895,1471],"clock_positions":[319,895,1471],"native_values":[19,11,833],"rotation_degrees":66.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,11,833],"beta":{"interval_sums":[254180,257931,231795],"interval_residues":[458,757,511],"display_cycle":[458,757,511],"intervals":[{"from_index":319,"to_index":895,"sum":254180,"residue":458},{"from_index":895,"to_index":1471,"sum":257931,"residue":757},{"from_index":1471,"to_index":319,"sum":231795,"residue":511}],"minimal_cycle":[458,757,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[319,895],"circle_positions":863,"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":[320,896,1472],"clock_positions":[320,896,1472],"native_values":[289,766,671],"rotation_degrees":66.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,766,671],"beta":{"interval_sums":[253902,257998,231143],"interval_residues":[180,824,722],"display_cycle":[180,824,722],"intervals":[{"from_index":320,"to_index":896,"sum":253902,"residue":180},{"from_index":896,"to_index":1472,"sum":257998,"residue":824},{"from_index":1472,"to_index":320,"sum":231143,"residue":722}],"minimal_cycle":[180,824,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[320,896],"circle_positions":863,"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":[321,897,1473],"clock_positions":[321,897,1473],"native_values":[308,777,641],"rotation_degrees":66.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[308,777,641],"beta":{"interval_sums":[254360,257892,230791],"interval_residues":[638,718,370],"display_cycle":[638,718,370],"intervals":[{"from_index":321,"to_index":897,"sum":254360,"residue":638},{"from_index":897,"to_index":1473,"sum":257892,"residue":718},{"from_index":1473,"to_index":321,"sum":230791,"residue":370}],"minimal_cycle":[638,718,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[321,897],"circle_positions":863,"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":[322,898,1474],"clock_positions":[322,898,1474],"native_values":[597,680,449],"rotation_degrees":67.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,680,449],"beta":{"interval_sums":[254540,257853,230650],"interval_residues":[818,679,229],"display_cycle":[818,679,229],"intervals":[{"from_index":322,"to_index":898,"sum":254540,"residue":818},{"from_index":898,"to_index":1474,"sum":257853,"residue":679},{"from_index":1474,"to_index":322,"sum":230650,"residue":229}],"minimal_cycle":[818,679,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":818,"start_interval_clock_positions":[322,898],"circle_positions":863,"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":[323,899,1475],"clock_positions":[323,899,1475],"native_values":[42,594,227],"rotation_degrees":67.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,594,227],"beta":{"interval_sums":[255178,257708,231020],"interval_residues":[593,534,599],"display_cycle":[593,534,599],"intervals":[{"from_index":323,"to_index":899,"sum":255178,"residue":593},{"from_index":899,"to_index":1475,"sum":257708,"residue":534},{"from_index":1475,"to_index":323,"sum":231020,"residue":599}],"minimal_cycle":[593,534,599],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[323,899],"circle_positions":863,"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":[324,900,1476],"clock_positions":[324,900,1476],"native_values":[639,411,676],"rotation_degrees":67.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,411,676],"beta":{"interval_sums":[255133,257524,230386],"interval_residues":[548,350,828],"display_cycle":[548,350,828],"intervals":[{"from_index":324,"to_index":900,"sum":255133,"residue":548},{"from_index":900,"to_index":1476,"sum":257524,"residue":350},{"from_index":1476,"to_index":324,"sum":230386,"residue":828}],"minimal_cycle":[548,350,828],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[324,900],"circle_positions":863,"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":[325,901,1477],"clock_positions":[325,901,1477],"native_values":[681,142,40],"rotation_degrees":67.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,142,40],"beta":{"interval_sums":[254863,258058,230985],"interval_residues":[278,21,564],"display_cycle":[278,21,564],"intervals":[{"from_index":325,"to_index":901,"sum":254863,"residue":278},{"from_index":901,"to_index":1477,"sum":258058,"residue":21},{"from_index":1477,"to_index":325,"sum":230985,"residue":564}],"minimal_cycle":[278,21,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[325,901],"circle_positions":863,"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":[326,902,1478],"clock_positions":[326,902,1478],"native_values":[457,553,716],"rotation_degrees":67.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,553,716],"beta":{"interval_sums":[254548,257545,230950],"interval_residues":[826,371,529],"display_cycle":[826,371,529],"intervals":[{"from_index":326,"to_index":902,"sum":254548,"residue":826},{"from_index":902,"to_index":1478,"sum":257545,"residue":371},{"from_index":1478,"to_index":326,"sum":230950,"residue":529}],"minimal_cycle":[826,371,529],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":826,"start_interval_clock_positions":[326,902],"circle_positions":863,"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":[327,903,1479],"clock_positions":[327,903,1479],"native_values":[275,695,756],"rotation_degrees":68.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,695,756],"beta":{"interval_sums":[254826,257566,230651],"interval_residues":[241,392,230],"display_cycle":[241,392,230],"intervals":[{"from_index":327,"to_index":903,"sum":254826,"residue":241},{"from_index":903,"to_index":1479,"sum":257566,"residue":392},{"from_index":1479,"to_index":327,"sum":230651,"residue":230}],"minimal_cycle":[241,392,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[327,903],"circle_positions":863,"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":[328,904,1480],"clock_positions":[328,904,1480],"native_values":[732,385,609],"rotation_degrees":68.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[732,385,609],"beta":{"interval_sums":[254789,257937,230317],"interval_residues":[204,763,759],"display_cycle":[204,763,759],"intervals":[{"from_index":328,"to_index":904,"sum":254789,"residue":204},{"from_index":904,"to_index":1480,"sum":257937,"residue":763},{"from_index":1480,"to_index":328,"sum":230317,"residue":759}],"minimal_cycle":[204,763,759],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[328,904],"circle_positions":863,"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":[329,905,1481],"clock_positions":[329,905,1481],"native_values":[144,217,502],"rotation_degrees":68.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,217,502],"beta":{"interval_sums":[255030,258329,230547],"interval_residues":[445,292,126],"display_cycle":[445,292,126],"intervals":[{"from_index":329,"to_index":905,"sum":255030,"residue":445},{"from_index":905,"to_index":1481,"sum":258329,"residue":292},{"from_index":1481,"to_index":329,"sum":230547,"residue":126}],"minimal_cycle":[445,292,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":445,"start_interval_clock_positions":[329,905],"circle_positions":863,"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":[330,906,1482],"clock_positions":[330,906,1482],"native_values":[13,602,248],"rotation_degrees":68.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,602,248],"beta":{"interval_sums":[255234,258229,230443],"interval_residues":[649,192,22],"display_cycle":[649,192,22],"intervals":[{"from_index":330,"to_index":906,"sum":255234,"residue":649},{"from_index":906,"to_index":1482,"sum":258229,"residue":192},{"from_index":1482,"to_index":330,"sum":230443,"residue":22}],"minimal_cycle":[649,192,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":649,"start_interval_clock_positions":[330,906],"circle_positions":863,"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":[331,907,1483],"clock_positions":[331,907,1483],"native_values":[157,819,750],"rotation_degrees":68.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,819,750],"beta":{"interval_sums":[255679,257658,229706],"interval_residues":[231,484,148],"display_cycle":[231,484,148],"intervals":[{"from_index":331,"to_index":907,"sum":255679,"residue":231},{"from_index":907,"to_index":1483,"sum":257658,"residue":484},{"from_index":1483,"to_index":331,"sum":229706,"residue":148}],"minimal_cycle":[231,484,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":231,"start_interval_clock_positions":[331,907],"circle_positions":863,"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":[332,908,1484],"clock_positions":[332,908,1484],"native_values":[170,558,135],"rotation_degrees":69.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,558,135],"beta":{"interval_sums":[256328,257850,229728],"interval_residues":[17,676,170],"display_cycle":[17,676,170],"intervals":[{"from_index":332,"to_index":908,"sum":256328,"residue":17},{"from_index":908,"to_index":1484,"sum":257850,"residue":676},{"from_index":1484,"to_index":332,"sum":229728,"residue":170}],"minimal_cycle":[17,676,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":17,"start_interval_clock_positions":[332,908],"circle_positions":863,"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":[333,909,1485],"clock_positions":[333,909,1485],"native_values":[327,514,22],"rotation_degrees":69.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,514,22],"beta":{"interval_sums":[256559,257471,229876],"interval_residues":[248,297,318],"display_cycle":[248,297,318],"intervals":[{"from_index":333,"to_index":909,"sum":256559,"residue":248},{"from_index":909,"to_index":1485,"sum":257471,"residue":297},{"from_index":1485,"to_index":333,"sum":229876,"residue":318}],"minimal_cycle":[248,297,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[333,909],"circle_positions":863,"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":[334,910,1486],"clock_positions":[334,910,1486],"native_values":[497,209,157],"rotation_degrees":69.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,209,157],"beta":{"interval_sums":[256576,257284,230046],"interval_residues":[265,110,488],"display_cycle":[265,110,488],"intervals":[{"from_index":334,"to_index":910,"sum":256576,"residue":265},{"from_index":910,"to_index":1486,"sum":257284,"residue":110},{"from_index":1486,"to_index":334,"sum":230046,"residue":488}],"minimal_cycle":[265,110,488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[334,910],"circle_positions":863,"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":[335,911,1487],"clock_positions":[335,911,1487],"native_values":[824,723,179],"rotation_degrees":69.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[824,723,179],"beta":{"interval_sums":[255961,256718,230364],"interval_residues":[513,407,806],"display_cycle":[513,407,806],"intervals":[{"from_index":335,"to_index":911,"sum":255961,"residue":513},{"from_index":911,"to_index":1487,"sum":256718,"residue":407},{"from_index":1487,"to_index":335,"sum":230364,"residue":806}],"minimal_cycle":[513,407,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[335,911],"circle_positions":863,"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":[336,912,1488],"clock_positions":[336,912,1488],"native_values":[458,69,336],"rotation_degrees":70.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,69,336],"beta":{"interval_sums":[256226,256828,230852],"interval_residues":[778,517,431],"display_cycle":[778,517,431],"intervals":[{"from_index":336,"to_index":912,"sum":256226,"residue":778},{"from_index":912,"to_index":1488,"sum":256828,"residue":517},{"from_index":1488,"to_index":336,"sum":230852,"residue":431}],"minimal_cycle":[778,517,431],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[336,912],"circle_positions":863,"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":[337,913,1489],"clock_positions":[337,913,1489],"native_values":[419,792,515],"rotation_degrees":70.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,792,515],"beta":{"interval_sums":[255876,256372,230795],"interval_residues":[428,61,374],"display_cycle":[428,61,374],"intervals":[{"from_index":337,"to_index":913,"sum":255876,"residue":428},{"from_index":913,"to_index":1489,"sum":256372,"residue":61},{"from_index":1489,"to_index":337,"sum":230795,"residue":374}],"minimal_cycle":[428,61,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[337,913],"circle_positions":863,"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":[338,914,1490],"clock_positions":[338,914,1490],"native_values":[14,861,851],"rotation_degrees":70.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,861,851],"beta":{"interval_sums":[256654,256026,230363],"interval_residues":[343,578,805],"display_cycle":[343,578,805],"intervals":[{"from_index":338,"to_index":914,"sum":256654,"residue":343},{"from_index":914,"to_index":1490,"sum":256026,"residue":578},{"from_index":1490,"to_index":338,"sum":230363,"residue":805}],"minimal_cycle":[343,578,805],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[338,914],"circle_positions":863,"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":[339,915,1491],"clock_positions":[339,915,1491],"native_values":[433,790,503],"rotation_degrees":70.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,790,503],"beta":{"interval_sums":[257082,256087,229874],"interval_residues":[771,639,316],"display_cycle":[771,639,316],"intervals":[{"from_index":339,"to_index":915,"sum":257082,"residue":771},{"from_index":915,"to_index":1491,"sum":256087,"residue":639},{"from_index":1491,"to_index":339,"sum":229874,"residue":316}],"minimal_cycle":[771,639,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":771,"start_interval_clock_positions":[339,915],"circle_positions":863,"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":[340,916,1492],"clock_positions":[340,916,1492],"native_values":[447,788,491],"rotation_degrees":70.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,788,491],"beta":{"interval_sums":[257425,255802,229816],"interval_residues":[251,354,258],"display_cycle":[251,354,258],"intervals":[{"from_index":340,"to_index":916,"sum":257425,"residue":251},{"from_index":916,"to_index":1492,"sum":255802,"residue":354},{"from_index":1492,"to_index":340,"sum":229816,"residue":258}],"minimal_cycle":[251,354,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[340,916],"circle_positions":863,"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":[341,917,1493],"clock_positions":[341,917,1493],"native_values":[17,715,131],"rotation_degrees":71.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,715,131],"beta":{"interval_sums":[258196,255578,230132],"interval_residues":[159,130,574],"display_cycle":[159,130,574],"intervals":[{"from_index":341,"to_index":917,"sum":258196,"residue":159},{"from_index":917,"to_index":1493,"sum":255578,"residue":130},{"from_index":1493,"to_index":341,"sum":230132,"residue":574}],"minimal_cycle":[159,130,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[341,917],"circle_positions":863,"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":[342,918,1494],"clock_positions":[342,918,1494],"native_values":[464,640,622],"rotation_degrees":71.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,640,622],"beta":{"interval_sums":[258447,255069,229527],"interval_residues":[410,484,832],"display_cycle":[410,484,832],"intervals":[{"from_index":342,"to_index":918,"sum":258447,"residue":410},{"from_index":918,"to_index":1494,"sum":255069,"residue":484},{"from_index":1494,"to_index":342,"sum":229527,"residue":832}],"minimal_cycle":[410,484,832],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[342,918],"circle_positions":863,"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":[343,919,1495],"clock_positions":[343,919,1495],"native_values":[481,492,753],"rotation_degrees":71.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[481,492,753],"beta":{"interval_sums":[258606,255199,229238],"interval_residues":[569,614,543],"display_cycle":[569,614,543],"intervals":[{"from_index":343,"to_index":919,"sum":258606,"residue":569},{"from_index":919,"to_index":1495,"sum":255199,"residue":614},{"from_index":1495,"to_index":343,"sum":229238,"residue":543}],"minimal_cycle":[569,614,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":569,"start_interval_clock_positions":[343,919],"circle_positions":863,"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":[344,920,1496],"clock_positions":[344,920,1496],"native_values":[82,269,512],"rotation_degrees":71.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[82,269,512],"beta":{"interval_sums":[259016,255683,229207],"interval_residues":[116,235,512],"display_cycle":[116,235,512],"intervals":[{"from_index":344,"to_index":920,"sum":259016,"residue":116},{"from_index":920,"to_index":1496,"sum":255683,"residue":235},{"from_index":1496,"to_index":344,"sum":229207,"residue":512}],"minimal_cycle":[116,235,512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[344,920],"circle_positions":863,"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":[345,921,1497],"clock_positions":[345,921,1497],"native_values":[563,761,402],"rotation_degrees":71.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,761,402],"beta":{"interval_sums":[258722,255434,228887],"interval_residues":[685,849,192],"display_cycle":[685,849,192],"intervals":[{"from_index":345,"to_index":921,"sum":258722,"residue":685},{"from_index":921,"to_index":1497,"sum":255434,"residue":849},{"from_index":1497,"to_index":345,"sum":228887,"residue":192}],"minimal_cycle":[685,849,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":685,"start_interval_clock_positions":[345,921],"circle_positions":863,"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":[346,922,1498],"clock_positions":[346,922,1498],"native_values":[645,167,51],"rotation_degrees":72.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,167,51],"beta":{"interval_sums":[258838,255669,229399],"interval_residues":[801,221,704],"display_cycle":[801,221,704],"intervals":[{"from_index":346,"to_index":922,"sum":258838,"residue":801},{"from_index":922,"to_index":1498,"sum":255669,"residue":221},{"from_index":1498,"to_index":346,"sum":229399,"residue":704}],"minimal_cycle":[801,221,704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":801,"start_interval_clock_positions":[346,922],"circle_positions":863,"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":[347,923,1499],"clock_positions":[347,923,1499],"native_values":[345,65,453],"rotation_degrees":72.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,65,453],"beta":{"interval_sums":[258660,255655,229591],"interval_residues":[623,207,33],"display_cycle":[623,207,33],"intervals":[{"from_index":347,"to_index":923,"sum":258660,"residue":623},{"from_index":923,"to_index":1499,"sum":255655,"residue":207},{"from_index":1499,"to_index":347,"sum":229591,"residue":33}],"minimal_cycle":[623,207,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[347,923],"circle_positions":863,"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":[348,924,1500],"clock_positions":[348,924,1500],"native_values":[127,232,504],"rotation_degrees":72.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,232,504],"beta":{"interval_sums":[258598,255876,229432],"interval_residues":[561,428,737],"display_cycle":[561,428,737],"intervals":[{"from_index":348,"to_index":924,"sum":258598,"residue":561},{"from_index":924,"to_index":1500,"sum":255876,"residue":428},{"from_index":1500,"to_index":348,"sum":229432,"residue":737}],"minimal_cycle":[561,428,737],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[348,924],"circle_positions":863,"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":[349,925,1501],"clock_positions":[349,925,1501],"native_values":[472,297,94],"rotation_degrees":72.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,297,94],"beta":{"interval_sums":[258358,256083,229465],"interval_residues":[321,635,770],"display_cycle":[321,635,770],"intervals":[{"from_index":349,"to_index":925,"sum":258358,"residue":321},{"from_index":925,"to_index":1501,"sum":256083,"residue":635},{"from_index":1501,"to_index":349,"sum":229465,"residue":770}],"minimal_cycle":[321,635,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":321,"start_interval_clock_positions":[349,925],"circle_positions":863,"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":[350,926,1502],"clock_positions":[350,926,1502],"native_values":[599,529,598],"rotation_degrees":72.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[599,529,598],"beta":{"interval_sums":[258056,255648,229339],"interval_residues":[19,200,644],"display_cycle":[19,200,644],"intervals":[{"from_index":350,"to_index":926,"sum":258056,"residue":19},{"from_index":926,"to_index":1502,"sum":255648,"residue":200},{"from_index":1502,"to_index":350,"sum":229339,"residue":644}],"minimal_cycle":[19,200,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[350,926],"circle_positions":863,"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":[351,927,1503],"clock_positions":[351,927,1503],"native_values":[208,826,692],"rotation_degrees":73.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,826,692],"beta":{"interval_sums":[258377,255420,229246],"interval_residues":[340,835,551],"display_cycle":[340,835,551],"intervals":[{"from_index":351,"to_index":927,"sum":258377,"residue":340},{"from_index":927,"to_index":1503,"sum":255420,"residue":835},{"from_index":1503,"to_index":351,"sum":229246,"residue":551}],"minimal_cycle":[340,835,551],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[351,927],"circle_positions":863,"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":[352,928,1504],"clock_positions":[352,928,1504],"native_values":[807,492,427],"rotation_degrees":73.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,492,427],"beta":{"interval_sums":[258396,255620,229027],"interval_residues":[359,172,332],"display_cycle":[359,172,332],"intervals":[{"from_index":352,"to_index":928,"sum":258396,"residue":359},{"from_index":928,"to_index":1504,"sum":255620,"residue":172},{"from_index":1504,"to_index":352,"sum":229027,"residue":332}],"minimal_cycle":[359,172,332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":359,"start_interval_clock_positions":[352,928],"circle_positions":863,"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":[353,929,1505],"clock_positions":[353,929,1505],"native_values":[152,455,256],"rotation_degrees":73.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,455,256],"beta":{"interval_sums":[258736,255592,229578],"interval_residues":[699,144,20],"display_cycle":[699,144,20],"intervals":[{"from_index":353,"to_index":929,"sum":258736,"residue":699},{"from_index":929,"to_index":1505,"sum":255592,"residue":144},{"from_index":1505,"to_index":353,"sum":229578,"residue":20}],"minimal_cycle":[699,144,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":699,"start_interval_clock_positions":[353,929],"circle_positions":863,"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":[354,930,1506],"clock_positions":[354,930,1506],"native_values":[96,84,683],"rotation_degrees":73.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,84,683],"beta":{"interval_sums":[259095,255764,229047],"interval_residues":[195,316,352],"display_cycle":[195,316,352],"intervals":[{"from_index":354,"to_index":930,"sum":259095,"residue":195},{"from_index":930,"to_index":1506,"sum":255764,"residue":316},{"from_index":1506,"to_index":354,"sum":229047,"residue":352}],"minimal_cycle":[195,316,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[354,930],"circle_positions":863,"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":[355,931,1507],"clock_positions":[355,931,1507],"native_values":[248,539,76],"rotation_degrees":73.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,539,76],"beta":{"interval_sums":[258931,255908,229067],"interval_residues":[31,460,372],"display_cycle":[31,460,372],"intervals":[{"from_index":355,"to_index":931,"sum":258931,"residue":31},{"from_index":931,"to_index":1507,"sum":255908,"residue":460},{"from_index":1507,"to_index":355,"sum":229067,"residue":372}],"minimal_cycle":[31,460,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[355,931],"circle_positions":863,"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":[356,932,1508],"clock_positions":[356,932,1508],"native_values":[344,623,759],"rotation_degrees":74.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,623,759],"beta":{"interval_sums":[259126,255361,228556],"interval_residues":[226,776,724],"display_cycle":[226,776,724],"intervals":[{"from_index":356,"to_index":932,"sum":259126,"residue":226},{"from_index":932,"to_index":1508,"sum":255361,"residue":776},{"from_index":1508,"to_index":356,"sum":228556,"residue":724}],"minimal_cycle":[226,776,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[356,932],"circle_positions":863,"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":[357,933,1509],"clock_positions":[357,933,1509],"native_values":[592,299,835],"rotation_degrees":74.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,299,835],"beta":{"interval_sums":[259157,255821,228065],"interval_residues":[257,373,233],"display_cycle":[257,373,233],"intervals":[{"from_index":357,"to_index":933,"sum":259157,"residue":257},{"from_index":933,"to_index":1509,"sum":255821,"residue":373},{"from_index":1509,"to_index":357,"sum":228065,"residue":233}],"minimal_cycle":[257,373,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[357,933],"circle_positions":863,"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":[358,934,1510],"clock_positions":[358,934,1510],"native_values":[73,59,731],"rotation_degrees":74.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,59,731],"beta":{"interval_sums":[259383,256597,227926],"interval_residues":[483,286,94],"display_cycle":[483,286,94],"intervals":[{"from_index":358,"to_index":934,"sum":259383,"residue":483},{"from_index":934,"to_index":1510,"sum":256597,"residue":286},{"from_index":1510,"to_index":358,"sum":227926,"residue":94}],"minimal_cycle":[483,286,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[358,934],"circle_positions":863,"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":[359,935,1511],"clock_positions":[359,935,1511],"native_values":[665,358,703],"rotation_degrees":74.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,358,703],"beta":{"interval_sums":[258777,256970,227296],"interval_residues":[740,659,327],"display_cycle":[740,659,327],"intervals":[{"from_index":359,"to_index":935,"sum":258777,"residue":740},{"from_index":935,"to_index":1511,"sum":256970,"residue":659},{"from_index":1511,"to_index":359,"sum":227296,"residue":327}],"minimal_cycle":[740,659,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":740,"start_interval_clock_positions":[359,935],"circle_positions":863,"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":[360,936,1512],"clock_positions":[360,936,1512],"native_values":[738,417,571],"rotation_degrees":75.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,417,571],"beta":{"interval_sums":[258397,257256,227390],"interval_residues":[360,82,421],"display_cycle":[360,82,421],"intervals":[{"from_index":360,"to_index":936,"sum":258397,"residue":360},{"from_index":936,"to_index":1512,"sum":257256,"residue":82},{"from_index":1512,"to_index":360,"sum":227390,"residue":421}],"minimal_cycle":[360,82,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[360,936],"circle_positions":863,"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":[361,937,1513],"clock_positions":[361,937,1513],"native_values":[540,775,411],"rotation_degrees":75.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[540,775,411],"beta":{"interval_sums":[258274,257052,227717],"interval_residues":[237,741,748],"display_cycle":[237,741,748],"intervals":[{"from_index":361,"to_index":937,"sum":258274,"residue":237},{"from_index":937,"to_index":1513,"sum":257052,"residue":741},{"from_index":1513,"to_index":361,"sum":227717,"residue":748}],"minimal_cycle":[237,741,748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[361,937],"circle_positions":863,"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":[362,938,1514],"clock_positions":[362,938,1514],"native_values":[415,329,119],"rotation_degrees":75.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,329,119],"beta":{"interval_sums":[258634,257134,228138],"interval_residues":[597,823,306],"display_cycle":[597,823,306],"intervals":[{"from_index":362,"to_index":938,"sum":258634,"residue":597},{"from_index":938,"to_index":1514,"sum":257134,"residue":823},{"from_index":1514,"to_index":362,"sum":228138,"residue":306}],"minimal_cycle":[597,823,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":597,"start_interval_clock_positions":[362,938],"circle_positions":863,"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":[363,939,1515],"clock_positions":[363,939,1515],"native_values":[92,241,530],"rotation_degrees":75.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,241,530],"beta":{"interval_sums":[258871,257012,228023],"interval_residues":[834,701,191],"display_cycle":[834,701,191],"intervals":[{"from_index":363,"to_index":939,"sum":258871,"residue":834},{"from_index":939,"to_index":1515,"sum":257012,"residue":701},{"from_index":1515,"to_index":363,"sum":228023,"residue":191}],"minimal_cycle":[834,701,191],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":834,"start_interval_clock_positions":[363,939],"circle_positions":863,"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":[364,940,1516],"clock_positions":[364,940,1516],"native_values":[507,570,649],"rotation_degrees":75.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,570,649],"beta":{"interval_sums":[258605,256972,227466],"interval_residues":[568,661,497],"display_cycle":[568,661,497],"intervals":[{"from_index":364,"to_index":940,"sum":258605,"residue":568},{"from_index":940,"to_index":1516,"sum":256972,"residue":661},{"from_index":1516,"to_index":364,"sum":227466,"residue":497}],"minimal_cycle":[568,661,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[364,940],"circle_positions":863,"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":[365,941,1517],"clock_positions":[365,941,1517],"native_values":[599,811,316],"rotation_degrees":76.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[599,811,316],"beta":{"interval_sums":[258576,256810,227657],"interval_residues":[539,499,688],"display_cycle":[539,499,688],"intervals":[{"from_index":365,"to_index":941,"sum":258576,"residue":539},{"from_index":941,"to_index":1517,"sum":256810,"residue":499},{"from_index":1517,"to_index":365,"sum":227657,"residue":688}],"minimal_cycle":[539,499,688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[365,941],"circle_positions":863,"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":[366,942,1518],"clock_positions":[366,942,1518],"native_values":[243,518,102],"rotation_degrees":76.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,518,102],"beta":{"interval_sums":[259144,256608,228154],"interval_residues":[244,297,322],"display_cycle":[244,297,322],"intervals":[{"from_index":366,"to_index":942,"sum":259144,"residue":244},{"from_index":942,"to_index":1518,"sum":256608,"residue":297},{"from_index":1518,"to_index":366,"sum":228154,"residue":322}],"minimal_cycle":[244,297,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[366,942],"circle_positions":863,"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":[367,943,1519],"clock_positions":[367,943,1519],"native_values":[842,466,418],"rotation_degrees":76.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[842,466,418],"beta":{"interval_sums":[258820,256244,227979],"interval_residues":[783,796,147],"display_cycle":[783,796,147],"intervals":[{"from_index":367,"to_index":943,"sum":258820,"residue":783},{"from_index":943,"to_index":1519,"sum":256244,"residue":796},{"from_index":1519,"to_index":367,"sum":227979,"residue":147}],"minimal_cycle":[783,796,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":783,"start_interval_clock_positions":[367,943],"circle_positions":863,"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":[368,944,1520],"clock_positions":[368,944,1520],"native_values":[222,121,520],"rotation_degrees":76.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,121,520],"beta":{"interval_sums":[259064,256541,228301],"interval_residues":[164,230,469],"display_cycle":[164,230,469],"intervals":[{"from_index":368,"to_index":944,"sum":259064,"residue":164},{"from_index":944,"to_index":1520,"sum":256541,"residue":230},{"from_index":1520,"to_index":368,"sum":228301,"residue":469}],"minimal_cycle":[164,230,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[368,944],"circle_positions":863,"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":[369,945,1521],"clock_positions":[369,945,1521],"native_values":[201,587,75],"rotation_degrees":76.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,587,75],"beta":{"interval_sums":[258984,256474,228448],"interval_residues":[84,163,616],"display_cycle":[84,163,616],"intervals":[{"from_index":369,"to_index":945,"sum":258984,"residue":84},{"from_index":945,"to_index":1521,"sum":256474,"residue":163},{"from_index":1521,"to_index":369,"sum":228448,"residue":616}],"minimal_cycle":[84,163,616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[369,945],"circle_positions":863,"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":[370,946,1522],"clock_positions":[370,946,1522],"native_values":[423,708,595],"rotation_degrees":77.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,708,595],"beta":{"interval_sums":[259148,255841,228054],"interval_residues":[248,393,222],"display_cycle":[248,393,222],"intervals":[{"from_index":370,"to_index":946,"sum":259148,"residue":248},{"from_index":946,"to_index":1522,"sum":255841,"residue":393},{"from_index":1522,"to_index":370,"sum":228054,"residue":222}],"minimal_cycle":[248,393,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[370,946],"circle_positions":863,"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":[371,947,1523],"clock_positions":[371,947,1523],"native_values":[624,432,670],"rotation_degrees":77.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,432,670],"beta":{"interval_sums":[259232,256004,227807],"interval_residues":[332,556,838],"display_cycle":[332,556,838],"intervals":[{"from_index":371,"to_index":947,"sum":259232,"residue":332},{"from_index":947,"to_index":1523,"sum":256004,"residue":556},{"from_index":1523,"to_index":371,"sum":227807,"residue":838}],"minimal_cycle":[332,556,838],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[371,947],"circle_positions":863,"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":[372,948,1524],"clock_positions":[372,948,1524],"native_values":[184,277,402],"rotation_degrees":77.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,277,402],"beta":{"interval_sums":[259480,256397,228029],"interval_residues":[580,86,197],"display_cycle":[580,86,197],"intervals":[{"from_index":372,"to_index":948,"sum":259480,"residue":580},{"from_index":948,"to_index":1524,"sum":256397,"residue":86},{"from_index":1524,"to_index":372,"sum":228029,"residue":197}],"minimal_cycle":[580,86,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[372,948],"circle_positions":863,"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":[373,949,1525],"clock_positions":[373,949,1525],"native_values":[808,709,209],"rotation_degrees":77.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[808,709,209],"beta":{"interval_sums":[258949,256090,228004],"interval_residues":[49,642,172],"display_cycle":[49,642,172],"intervals":[{"from_index":373,"to_index":949,"sum":258949,"residue":49},{"from_index":949,"to_index":1525,"sum":256090,"residue":642},{"from_index":1525,"to_index":373,"sum":228004,"residue":172}],"minimal_cycle":[49,642,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":49,"start_interval_clock_positions":[373,949],"circle_positions":863,"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":[374,950,1526],"clock_positions":[374,950,1526],"native_values":[129,123,611],"rotation_degrees":77.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,123,611],"beta":{"interval_sums":[259529,256176,228201],"interval_residues":[629,728,369],"display_cycle":[629,728,369],"intervals":[{"from_index":374,"to_index":950,"sum":259529,"residue":629},{"from_index":950,"to_index":1526,"sum":256176,"residue":728},{"from_index":1526,"to_index":374,"sum":228201,"residue":369}],"minimal_cycle":[629,728,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[374,950],"circle_positions":863,"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":[375,951,1527],"clock_positions":[375,951,1527],"native_values":[74,832,820],"rotation_degrees":78.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,832,820],"beta":{"interval_sums":[259578,255955,227510],"interval_residues":[678,507,541],"display_cycle":[678,507,541],"intervals":[{"from_index":375,"to_index":951,"sum":259578,"residue":678},{"from_index":951,"to_index":1527,"sum":255955,"residue":507},{"from_index":1527,"to_index":375,"sum":227510,"residue":541}],"minimal_cycle":[678,507,541],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[375,951],"circle_positions":863,"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":[376,952,1528],"clock_positions":[376,952,1528],"native_values":[203,92,568],"rotation_degrees":78.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,92,568],"beta":{"interval_sums":[260207,256683,227016],"interval_residues":[444,372,47],"display_cycle":[444,372,47],"intervals":[{"from_index":376,"to_index":952,"sum":260207,"residue":444},{"from_index":952,"to_index":1528,"sum":256683,"residue":372},{"from_index":1528,"to_index":376,"sum":227016,"residue":47}],"minimal_cycle":[444,372,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[376,952],"circle_positions":863,"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":[377,953,1529],"clock_positions":[377,953,1529],"native_values":[277,61,525],"rotation_degrees":78.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,61,525],"beta":{"interval_sums":[260022,257190,226694],"interval_residues":[259,16,588],"display_cycle":[259,16,588],"intervals":[{"from_index":377,"to_index":953,"sum":260022,"residue":259},{"from_index":953,"to_index":1529,"sum":257190,"residue":16},{"from_index":1529,"to_index":377,"sum":226694,"residue":588}],"minimal_cycle":[259,16,588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[377,953],"circle_positions":863,"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":[378,954,1530],"clock_positions":[378,954,1530],"native_values":[480,153,230],"rotation_degrees":78.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,153,230],"beta":{"interval_sums":[259603,257562,226741],"interval_residues":[703,388,635],"display_cycle":[703,388,635],"intervals":[{"from_index":378,"to_index":954,"sum":259603,"residue":703},{"from_index":954,"to_index":1530,"sum":257562,"residue":388},{"from_index":1530,"to_index":378,"sum":226741,"residue":635}],"minimal_cycle":[703,388,635],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":703,"start_interval_clock_positions":[378,954],"circle_positions":863,"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":[379,955,1531],"clock_positions":[379,955,1531],"native_values":[757,214,755],"rotation_degrees":78.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[757,214,755],"beta":{"interval_sums":[258999,257578,226466],"interval_residues":[99,404,360],"display_cycle":[99,404,360],"intervals":[{"from_index":379,"to_index":955,"sum":258999,"residue":99},{"from_index":955,"to_index":1531,"sum":257578,"residue":404},{"from_index":1531,"to_index":379,"sum":226466,"residue":360}],"minimal_cycle":[99,404,360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[379,955],"circle_positions":863,"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":[380,956,1532],"clock_positions":[380,956,1532],"native_values":[374,367,122],"rotation_degrees":79.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,367,122],"beta":{"interval_sums":[258839,257966,227101],"interval_residues":[802,792,132],"display_cycle":[802,792,132],"intervals":[{"from_index":380,"to_index":956,"sum":258839,"residue":802},{"from_index":956,"to_index":1532,"sum":257966,"residue":792},{"from_index":1532,"to_index":380,"sum":227101,"residue":132}],"minimal_cycle":[802,792,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":802,"start_interval_clock_positions":[380,956],"circle_positions":863,"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":[381,957,1533],"clock_positions":[381,957,1533],"native_values":[268,581,14],"rotation_degrees":79.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,581,14],"beta":{"interval_sums":[258938,257507,227461],"interval_residues":[38,333,492],"display_cycle":[38,333,492],"intervals":[{"from_index":381,"to_index":957,"sum":258938,"residue":38},{"from_index":957,"to_index":1533,"sum":257507,"residue":333},{"from_index":1533,"to_index":381,"sum":227461,"residue":492}],"minimal_cycle":[38,333,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[381,957],"circle_positions":863,"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":[382,958,1534],"clock_positions":[382,958,1534],"native_values":[642,85,136],"rotation_degrees":79.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,85,136],"beta":{"interval_sums":[258877,257436,227593],"interval_residues":[840,262,624],"display_cycle":[840,262,624],"intervals":[{"from_index":382,"to_index":958,"sum":258877,"residue":840},{"from_index":958,"to_index":1534,"sum":257436,"residue":262},{"from_index":1534,"to_index":382,"sum":227593,"residue":624}],"minimal_cycle":[840,262,624],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":840,"start_interval_clock_positions":[382,958],"circle_positions":863,"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":[383,959,1535],"clock_positions":[383,959,1535],"native_values":[47,666,150],"rotation_degrees":79.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,666,150],"beta":{"interval_sums":[258915,256906,228085],"interval_residues":[15,595,253],"display_cycle":[15,595,253],"intervals":[{"from_index":383,"to_index":959,"sum":258915,"residue":15},{"from_index":959,"to_index":1535,"sum":256906,"residue":595},{"from_index":1535,"to_index":383,"sum":228085,"residue":253}],"minimal_cycle":[15,595,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[383,959],"circle_positions":863,"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":[384,960,1536],"clock_positions":[384,960,1536],"native_values":[689,751,286],"rotation_degrees":80.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,751,286],"beta":{"interval_sums":[258892,256305,227846],"interval_residues":[855,857,14],"display_cycle":[855,857,14],"intervals":[{"from_index":384,"to_index":960,"sum":258892,"residue":855},{"from_index":960,"to_index":1536,"sum":256305,"residue":857},{"from_index":1536,"to_index":384,"sum":227846,"residue":14}],"minimal_cycle":[855,857,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":855,"start_interval_clock_positions":[384,960],"circle_positions":863,"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":[385,961,1537],"clock_positions":[385,961,1537],"native_values":[736,554,436],"rotation_degrees":80.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[736,554,436],"beta":{"interval_sums":[258907,256037,228099],"interval_residues":[7,589,267],"display_cycle":[7,589,267],"intervals":[{"from_index":385,"to_index":961,"sum":258907,"residue":7},{"from_index":961,"to_index":1537,"sum":256037,"residue":589},{"from_index":1537,"to_index":385,"sum":228099,"residue":267}],"minimal_cycle":[7,589,267],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":7,"start_interval_clock_positions":[385,961],"circle_positions":863,"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":[386,962,1538],"clock_positions":[386,962,1538],"native_values":[562,442,722],"rotation_degrees":80.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,442,722],"beta":{"interval_sums":[258899,256031,228113],"interval_residues":[862,583,281],"display_cycle":[862,583,281],"intervals":[{"from_index":386,"to_index":962,"sum":258899,"residue":862},{"from_index":962,"to_index":1538,"sum":256031,"residue":583},{"from_index":1538,"to_index":386,"sum":228113,"residue":281}],"minimal_cycle":[862,583,281],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":862,"start_interval_clock_positions":[386,962],"circle_positions":863,"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":[387,963,1539],"clock_positions":[387,963,1539],"native_values":[435,133,295],"rotation_degrees":80.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,133,295],"beta":{"interval_sums":[258906,256620,228380],"interval_residues":[6,309,548],"display_cycle":[6,309,548],"intervals":[{"from_index":387,"to_index":963,"sum":258906,"residue":6},{"from_index":963,"to_index":1539,"sum":256620,"residue":309},{"from_index":1539,"to_index":387,"sum":228380,"residue":548}],"minimal_cycle":[6,309,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[387,963],"circle_positions":863,"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":[388,964,1540],"clock_positions":[388,964,1540],"native_values":[134,575,154],"rotation_degrees":80.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,575,154],"beta":{"interval_sums":[258905,256340,228661],"interval_residues":[5,29,829],"display_cycle":[5,29,829],"intervals":[{"from_index":388,"to_index":964,"sum":258905,"residue":5},{"from_index":964,"to_index":1540,"sum":256340,"residue":29},{"from_index":1540,"to_index":388,"sum":228661,"residue":829}],"minimal_cycle":[5,29,829],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[388,964],"circle_positions":863,"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":[389,965,1541],"clock_positions":[389,965,1541],"native_values":[569,708,449],"rotation_degrees":81.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,708,449],"beta":{"interval_sums":[258911,255786,228346],"interval_residues":[11,338,514],"display_cycle":[11,338,514],"intervals":[{"from_index":389,"to_index":965,"sum":258911,"residue":11},{"from_index":965,"to_index":1541,"sum":255786,"residue":338},{"from_index":1541,"to_index":389,"sum":228346,"residue":514}],"minimal_cycle":[11,338,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[389,965],"circle_positions":863,"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":[390,966,1542],"clock_positions":[390,966,1542],"native_values":[703,420,603],"rotation_degrees":81.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,420,603],"beta":{"interval_sums":[258916,255815,228312],"interval_residues":[16,367,480],"display_cycle":[16,367,480],"intervals":[{"from_index":390,"to_index":966,"sum":258916,"residue":16},{"from_index":966,"to_index":1542,"sum":255815,"residue":367},{"from_index":1542,"to_index":390,"sum":228312,"residue":480}],"minimal_cycle":[16,367,480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[390,966],"circle_positions":863,"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":[391,967,1543],"clock_positions":[391,967,1543],"native_values":[409,265,189],"rotation_degrees":81.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,265,189],"beta":{"interval_sums":[258927,256153,228826],"interval_residues":[27,705,131],"display_cycle":[27,705,131],"intervals":[{"from_index":391,"to_index":967,"sum":258927,"residue":27},{"from_index":967,"to_index":1543,"sum":256153,"residue":705},{"from_index":1543,"to_index":391,"sum":228826,"residue":131}],"minimal_cycle":[27,705,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[391,967],"circle_positions":863,"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":[392,968,1544],"clock_positions":[392,968,1544],"native_values":[249,685,792],"rotation_degrees":81.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,685,792],"beta":{"interval_sums":[258943,255657,228443],"interval_residues":[43,209,611],"display_cycle":[43,209,611],"intervals":[{"from_index":392,"to_index":968,"sum":258943,"residue":43},{"from_index":968,"to_index":1544,"sum":255657,"residue":209},{"from_index":1544,"to_index":392,"sum":228443,"residue":611}],"minimal_cycle":[43,209,611],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[392,968],"circle_positions":863,"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":[393,969,1545],"clock_positions":[393,969,1545],"native_values":[658,87,118],"rotation_degrees":81.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,87,118],"beta":{"interval_sums":[258970,256362,228574],"interval_residues":[70,51,742],"display_cycle":[70,51,742],"intervals":[{"from_index":393,"to_index":969,"sum":258970,"residue":70},{"from_index":969,"to_index":1545,"sum":256362,"residue":51},{"from_index":1545,"to_index":393,"sum":228574,"residue":742}],"minimal_cycle":[70,51,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[393,969],"circle_positions":863,"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":[394,970,1546],"clock_positions":[394,970,1546],"native_values":[44,772,47],"rotation_degrees":82.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,772,47],"beta":{"interval_sums":[259013,255708,229185],"interval_residues":[113,260,490],"display_cycle":[113,260,490],"intervals":[{"from_index":394,"to_index":970,"sum":259013,"residue":113},{"from_index":970,"to_index":1546,"sum":255708,"residue":260},{"from_index":1546,"to_index":394,"sum":229185,"residue":490}],"minimal_cycle":[113,260,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[394,970],"circle_positions":863,"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":[395,971,1547],"clock_positions":[395,971,1547],"native_values":[702,859,165],"rotation_degrees":82.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[702,859,165],"beta":{"interval_sums":[259083,254896,229064],"interval_residues":[183,311,369],"display_cycle":[183,311,369],"intervals":[{"from_index":395,"to_index":971,"sum":259083,"residue":183},{"from_index":971,"to_index":1547,"sum":254896,"residue":311},{"from_index":1547,"to_index":395,"sum":229064,"residue":369}],"minimal_cycle":[183,311,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[395,971],"circle_positions":863,"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":[396,972,1548],"clock_positions":[396,972,1548],"native_values":[746,768,212],"rotation_degrees":82.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[746,768,212],"beta":{"interval_sums":[259196,254293,229554],"interval_residues":[296,571,859],"display_cycle":[296,571,859],"intervals":[{"from_index":396,"to_index":972,"sum":259196,"residue":296},{"from_index":972,"to_index":1548,"sum":254293,"residue":571},{"from_index":1548,"to_index":396,"sum":229554,"residue":859}],"minimal_cycle":[296,571,859],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[396,972],"circle_positions":863,"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":[397,973,1549],"clock_positions":[397,973,1549],"native_values":[585,764,377],"rotation_degrees":82.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,764,377],"beta":{"interval_sums":[259379,253741,229923],"interval_residues":[479,19,365],"display_cycle":[479,19,365],"intervals":[{"from_index":397,"to_index":973,"sum":259379,"residue":479},{"from_index":973,"to_index":1549,"sum":253741,"residue":19},{"from_index":1549,"to_index":397,"sum":229923,"residue":365}],"minimal_cycle":[479,19,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":479,"start_interval_clock_positions":[397,973],"circle_positions":863,"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":[398,974,1550],"clock_positions":[398,974,1550],"native_values":[468,669,589],"rotation_degrees":82.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,669,589],"beta":{"interval_sums":[259675,253449,229919],"interval_residues":[775,590,361],"display_cycle":[775,590,361],"intervals":[{"from_index":398,"to_index":974,"sum":259675,"residue":775},{"from_index":974,"to_index":1550,"sum":253449,"residue":590},{"from_index":1550,"to_index":398,"sum":229919,"residue":361}],"minimal_cycle":[775,590,361],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":775,"start_interval_clock_positions":[398,974],"circle_positions":863,"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":[399,975,1551],"clock_positions":[399,975,1551],"native_values":[190,570,103],"rotation_degrees":83.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,570,103],"beta":{"interval_sums":[260154,253468,230284],"interval_residues":[391,609,726],"display_cycle":[391,609,726],"intervals":[{"from_index":399,"to_index":975,"sum":260154,"residue":391},{"from_index":975,"to_index":1551,"sum":253468,"residue":609},{"from_index":1551,"to_index":399,"sum":230284,"residue":726}],"minimal_cycle":[391,609,726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[399,975],"circle_positions":863,"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":[400,976,1552],"clock_positions":[400,976,1552],"native_values":[658,376,692],"rotation_degrees":83.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,376,692],"beta":{"interval_sums":[260066,253195,229782],"interval_residues":[303,336,224],"display_cycle":[303,336,224],"intervals":[{"from_index":400,"to_index":976,"sum":260066,"residue":303},{"from_index":976,"to_index":1552,"sum":253195,"residue":336},{"from_index":1552,"to_index":400,"sum":229782,"residue":224}],"minimal_cycle":[303,336,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[400,976],"circle_positions":863,"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":[401,977,1553],"clock_positions":[401,977,1553],"native_values":[848,83,795],"rotation_degrees":83.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[848,83,795],"beta":{"interval_sums":[259594,253804,229645],"interval_residues":[694,82,87],"display_cycle":[694,82,87],"intervals":[{"from_index":401,"to_index":977,"sum":259594,"residue":694},{"from_index":977,"to_index":1553,"sum":253804,"residue":82},{"from_index":1553,"to_index":401,"sum":229645,"residue":87}],"minimal_cycle":[694,82,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[401,977],"circle_positions":863,"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":[402,978,1554],"clock_positions":[402,978,1554],"native_values":[643,459,624],"rotation_degrees":83.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,459,624],"beta":{"interval_sums":[259034,254140,229869],"interval_residues":[134,418,311],"display_cycle":[134,418,311],"intervals":[{"from_index":402,"to_index":978,"sum":259034,"residue":134},{"from_index":978,"to_index":1554,"sum":254140,"residue":418},{"from_index":1554,"to_index":402,"sum":229869,"residue":311}],"minimal_cycle":[134,418,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[402,978],"circle_positions":863,"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":[403,979,1555],"clock_positions":[403,979,1555],"native_values":[628,542,556],"rotation_degrees":83.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,542,556],"beta":{"interval_sums":[258865,254222,229956],"interval_residues":[828,500,398],"display_cycle":[828,500,398],"intervals":[{"from_index":403,"to_index":979,"sum":258865,"residue":828},{"from_index":979,"to_index":1555,"sum":254222,"residue":500},{"from_index":1555,"to_index":403,"sum":229956,"residue":398}],"minimal_cycle":[828,500,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":828,"start_interval_clock_positions":[403,979],"circle_positions":863,"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":[404,980,1556],"clock_positions":[404,980,1556],"native_values":[408,138,317],"rotation_degrees":84.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,138,317],"beta":{"interval_sums":[258999,254640,230267],"interval_residues":[99,55,709],"display_cycle":[99,55,709],"intervals":[{"from_index":404,"to_index":980,"sum":258999,"residue":99},{"from_index":980,"to_index":1556,"sum":254640,"residue":55},{"from_index":1556,"to_index":404,"sum":230267,"residue":709}],"minimal_cycle":[99,55,709],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[404,980],"circle_positions":863,"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":[405,981,1557],"clock_positions":[405,981,1557],"native_values":[173,680,10],"rotation_degrees":84.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,680,10],"beta":{"interval_sums":[258964,254277,230665],"interval_residues":[64,555,244],"display_cycle":[64,555,244],"intervals":[{"from_index":405,"to_index":981,"sum":258964,"residue":64},{"from_index":981,"to_index":1557,"sum":254277,"residue":555},{"from_index":1557,"to_index":405,"sum":230665,"residue":244}],"minimal_cycle":[64,555,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[405,981],"circle_positions":863,"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":[406,982,1558],"clock_positions":[406,982,1558],"native_values":[581,818,327],"rotation_degrees":84.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,818,327],"beta":{"interval_sums":[259063,253469,230511],"interval_residues":[163,610,90],"display_cycle":[163,610,90],"intervals":[{"from_index":406,"to_index":982,"sum":259063,"residue":163},{"from_index":982,"to_index":1558,"sum":253469,"residue":610},{"from_index":1558,"to_index":406,"sum":230511,"residue":90}],"minimal_cycle":[163,610,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[406,982],"circle_positions":863,"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":[407,983,1559],"clock_positions":[407,983,1559],"native_values":[754,635,337],"rotation_degrees":84.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[754,635,337],"beta":{"interval_sums":[259127,253161,230755],"interval_residues":[227,302,334],"display_cycle":[227,302,334],"intervals":[{"from_index":407,"to_index":983,"sum":259127,"residue":227},{"from_index":983,"to_index":1559,"sum":253161,"residue":302},{"from_index":1559,"to_index":407,"sum":230755,"residue":334}],"minimal_cycle":[227,302,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[407,983],"circle_positions":863,"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":[408,984,1560],"clock_positions":[408,984,1560],"native_values":[472,590,664],"rotation_degrees":85.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,590,664],"beta":{"interval_sums":[259290,252908,230845],"interval_residues":[390,49,424],"display_cycle":[390,49,424],"intervals":[{"from_index":408,"to_index":984,"sum":259290,"residue":390},{"from_index":984,"to_index":1560,"sum":252908,"residue":49},{"from_index":1560,"to_index":408,"sum":230845,"residue":424}],"minimal_cycle":[390,49,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[408,984],"circle_positions":863,"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":[409,985,1561],"clock_positions":[409,985,1561],"native_values":[363,362,138],"rotation_degrees":85.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[363,362,138],"beta":{"interval_sums":[259517,253210,231179],"interval_residues":[617,351,758],"display_cycle":[617,351,758],"intervals":[{"from_index":409,"to_index":985,"sum":259517,"residue":617},{"from_index":985,"to_index":1561,"sum":253210,"residue":351},{"from_index":1561,"to_index":409,"sum":231179,"residue":758}],"minimal_cycle":[617,351,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":617,"start_interval_clock_positions":[409,985],"circle_positions":863,"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":[410,986,1562],"clock_positions":[410,986,1562],"native_values":[835,89,802],"rotation_degrees":85.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[835,89,802],"beta":{"interval_sums":[259044,253259,230740],"interval_residues":[144,400,319],"display_cycle":[144,400,319],"intervals":[{"from_index":410,"to_index":986,"sum":259044,"residue":144},{"from_index":986,"to_index":1562,"sum":253259,"residue":400},{"from_index":1562,"to_index":410,"sum":230740,"residue":319}],"minimal_cycle":[144,400,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[410,986],"circle_positions":863,"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":[411,987,1563],"clock_positions":[411,987,1563],"native_values":[335,451,77],"rotation_degrees":85.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,451,77],"beta":{"interval_sums":[258798,253610,231498],"interval_residues":[761,751,214],"display_cycle":[761,751,214],"intervals":[{"from_index":411,"to_index":987,"sum":258798,"residue":761},{"from_index":987,"to_index":1563,"sum":253610,"residue":751},{"from_index":1563,"to_index":411,"sum":231498,"residue":214}],"minimal_cycle":[761,751,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":761,"start_interval_clock_positions":[411,987],"circle_positions":863,"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":[412,988,1564],"clock_positions":[412,988,1564],"native_values":[307,540,16],"rotation_degrees":85.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,540,16],"beta":{"interval_sums":[258942,253147,231817],"interval_residues":[42,288,533],"display_cycle":[42,288,533],"intervals":[{"from_index":412,"to_index":988,"sum":258942,"residue":42},{"from_index":988,"to_index":1564,"sum":253147,"residue":288},{"from_index":1564,"to_index":412,"sum":231817,"residue":533}],"minimal_cycle":[42,288,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[412,988],"circle_positions":863,"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":[413,989,1565],"clock_positions":[413,989,1565],"native_values":[642,128,93],"rotation_degrees":86.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,128,93],"beta":{"interval_sums":[258840,253035,232031],"interval_residues":[803,176,747],"display_cycle":[803,176,747],"intervals":[{"from_index":413,"to_index":989,"sum":258840,"residue":803},{"from_index":989,"to_index":1565,"sum":253035,"residue":176},{"from_index":1565,"to_index":413,"sum":232031,"residue":747}],"minimal_cycle":[803,176,747],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":803,"start_interval_clock_positions":[413,989],"circle_positions":863,"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":[414,990,1566],"clock_positions":[414,990,1566],"native_values":[86,668,109],"rotation_degrees":86.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[86,668,109],"beta":{"interval_sums":[258882,252460,232564],"interval_residues":[845,464,417],"display_cycle":[845,464,417],"intervals":[{"from_index":414,"to_index":990,"sum":258882,"residue":845},{"from_index":990,"to_index":1566,"sum":252460,"residue":464},{"from_index":1566,"to_index":414,"sum":232564,"residue":417}],"minimal_cycle":[845,464,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":845,"start_interval_clock_positions":[414,990],"circle_positions":863,"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":[415,991,1567],"clock_positions":[415,991,1567],"native_values":[728,796,202],"rotation_degrees":86.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[728,796,202],"beta":{"interval_sums":[258822,251773,232448],"interval_residues":[785,640,301],"display_cycle":[785,640,301],"intervals":[{"from_index":415,"to_index":991,"sum":258822,"residue":785},{"from_index":991,"to_index":1567,"sum":251773,"residue":640},{"from_index":1567,"to_index":415,"sum":232448,"residue":301}],"minimal_cycle":[785,640,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":785,"start_interval_clock_positions":[415,991],"circle_positions":863,"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":[416,992,1568],"clock_positions":[416,992,1568],"native_values":[814,601,311],"rotation_degrees":86.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[814,601,311],"beta":{"interval_sums":[258804,251374,232865],"interval_residues":[767,241,718],"display_cycle":[767,241,718],"intervals":[{"from_index":416,"to_index":992,"sum":258804,"residue":767},{"from_index":992,"to_index":1568,"sum":251374,"residue":241},{"from_index":1568,"to_index":416,"sum":232865,"residue":718}],"minimal_cycle":[767,241,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":767,"start_interval_clock_positions":[416,992],"circle_positions":863,"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":[417,993,1569],"clock_positions":[417,993,1569],"native_values":[679,534,513],"rotation_degrees":86.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,534,513],"beta":{"interval_sums":[258726,251151,233166],"interval_residues":[689,18,156],"display_cycle":[689,18,156],"intervals":[{"from_index":417,"to_index":993,"sum":258726,"residue":689},{"from_index":993,"to_index":1569,"sum":251151,"residue":18},{"from_index":1569,"to_index":417,"sum":233166,"residue":156}],"minimal_cycle":[689,18,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":689,"start_interval_clock_positions":[417,993],"circle_positions":863,"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":[418,994,1570],"clock_positions":[418,994,1570],"native_values":[630,272,824],"rotation_degrees":87.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,272,824],"beta":{"interval_sums":[258630,251392,233021],"interval_residues":[593,259,11],"display_cycle":[593,259,11],"intervals":[{"from_index":418,"to_index":994,"sum":258630,"residue":593},{"from_index":994,"to_index":1570,"sum":251392,"residue":259},{"from_index":1570,"to_index":418,"sum":233021,"residue":11}],"minimal_cycle":[593,259,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[418,994],"circle_positions":863,"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":[419,995,1571],"clock_positions":[419,995,1571],"native_values":[446,806,474],"rotation_degrees":87.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,806,474],"beta":{"interval_sums":[258456,251410,233177],"interval_residues":[419,277,167],"display_cycle":[419,277,167],"intervals":[{"from_index":419,"to_index":995,"sum":258456,"residue":419},{"from_index":995,"to_index":1571,"sum":251410,"residue":277},{"from_index":1571,"to_index":419,"sum":233177,"residue":167}],"minimal_cycle":[419,277,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[419,995],"circle_positions":863,"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":[420,996,1572],"clock_positions":[420,996,1572],"native_values":[213,215,435],"rotation_degrees":87.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,215,435],"beta":{"interval_sums":[259049,251669,233188],"interval_residues":[149,536,178],"display_cycle":[149,536,178],"intervals":[{"from_index":420,"to_index":996,"sum":259049,"residue":149},{"from_index":996,"to_index":1572,"sum":251669,"residue":536},{"from_index":1572,"to_index":420,"sum":233188,"residue":178}],"minimal_cycle":[149,536,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[420,996],"circle_positions":863,"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":[421,997,1573],"clock_positions":[421,997,1573],"native_values":[659,158,46],"rotation_degrees":87.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,158,46],"beta":{"interval_sums":[258605,251946,233355],"interval_residues":[568,813,345],"display_cycle":[568,813,345],"intervals":[{"from_index":421,"to_index":997,"sum":258605,"residue":568},{"from_index":997,"to_index":1573,"sum":251946,"residue":813},{"from_index":1573,"to_index":421,"sum":233355,"residue":345}],"minimal_cycle":[568,813,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[421,997],"circle_positions":863,"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":[422,998,1574],"clock_positions":[422,998,1574],"native_values":[9,373,481],"rotation_degrees":87.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,373,481],"beta":{"interval_sums":[258754,251619,233533],"interval_residues":[717,486,523],"display_cycle":[717,486,523],"intervals":[{"from_index":422,"to_index":998,"sum":258754,"residue":717},{"from_index":998,"to_index":1574,"sum":251619,"residue":486},{"from_index":1574,"to_index":422,"sum":233533,"residue":523}],"minimal_cycle":[717,486,523],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[422,998],"circle_positions":863,"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":[423,999,1575],"clock_positions":[423,999,1575],"native_values":[668,531,527],"rotation_degrees":88.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[668,531,527],"beta":{"interval_sums":[258459,251569,233015],"interval_residues":[422,436,5],"display_cycle":[422,436,5],"intervals":[{"from_index":423,"to_index":999,"sum":258459,"residue":422},{"from_index":999,"to_index":1575,"sum":251569,"residue":436},{"from_index":1575,"to_index":423,"sum":233015,"residue":5}],"minimal_cycle":[422,436,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[423,999],"circle_positions":863,"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":[424,1000,1576],"clock_positions":[424,1000,1576],"native_values":[677,41,145],"rotation_degrees":88.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,41,145],"beta":{"interval_sums":[258313,252055,233538],"interval_residues":[276,59,528],"display_cycle":[276,59,528],"intervals":[{"from_index":424,"to_index":1000,"sum":258313,"residue":276},{"from_index":1000,"to_index":1576,"sum":252055,"residue":59},{"from_index":1576,"to_index":424,"sum":233538,"residue":528}],"minimal_cycle":[276,59,528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[424,1000],"circle_positions":863,"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":[425,1001,1577],"clock_positions":[425,1001,1577],"native_values":[482,572,672],"rotation_degrees":88.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,572,672],"beta":{"interval_sums":[257872,251628,233543],"interval_residues":[698,495,533],"display_cycle":[698,495,533],"intervals":[{"from_index":425,"to_index":1001,"sum":257872,"residue":698},{"from_index":1001,"to_index":1577,"sum":251628,"residue":495},{"from_index":1577,"to_index":425,"sum":233543,"residue":533}],"minimal_cycle":[698,495,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[425,1001],"circle_positions":863,"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":[426,1002,1578],"clock_positions":[426,1002,1578],"native_values":[296,613,817],"rotation_degrees":88.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,613,817],"beta":{"interval_sums":[258148,251687,233208],"interval_residues":[111,554,198],"display_cycle":[111,554,198],"intervals":[{"from_index":426,"to_index":1002,"sum":258148,"residue":111},{"from_index":1002,"to_index":1578,"sum":251687,"residue":554},{"from_index":1578,"to_index":426,"sum":233208,"residue":198}],"minimal_cycle":[111,554,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[426,1002],"circle_positions":863,"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":[427,1003,1579],"clock_positions":[427,1003,1579],"native_values":[778,322,626],"rotation_degrees":88.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[778,322,626],"beta":{"interval_sums":[257983,252182,232878],"interval_residues":[809,186,731],"display_cycle":[809,186,731],"intervals":[{"from_index":427,"to_index":1003,"sum":257983,"residue":809},{"from_index":1003,"to_index":1579,"sum":252182,"residue":186},{"from_index":1579,"to_index":427,"sum":232878,"residue":731}],"minimal_cycle":[809,186,731],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":809,"start_interval_clock_positions":[427,1003],"circle_positions":863,"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":[428,1004,1580],"clock_positions":[428,1004,1580],"native_values":[211,72,580],"rotation_degrees":89.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,72,580],"beta":{"interval_sums":[258094,252736,233076],"interval_residues":[57,740,66],"display_cycle":[57,740,66],"intervals":[{"from_index":428,"to_index":1004,"sum":258094,"residue":57},{"from_index":1004,"to_index":1580,"sum":252736,"residue":740},{"from_index":1580,"to_index":428,"sum":233076,"residue":66}],"minimal_cycle":[57,740,66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[428,1004],"circle_positions":863,"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":[429,1005,1581],"clock_positions":[429,1005,1581],"native_values":[126,394,343],"rotation_degrees":89.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,394,343],"beta":{"interval_sums":[258040,252922,232944],"interval_residues":[3,63,797],"display_cycle":[3,63,797],"intervals":[{"from_index":429,"to_index":1005,"sum":258040,"residue":3},{"from_index":1005,"to_index":1581,"sum":252922,"residue":63},{"from_index":1581,"to_index":429,"sum":232944,"residue":797}],"minimal_cycle":[3,63,797],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[429,1005],"circle_positions":863,"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":[430,1006,1582],"clock_positions":[430,1006,1582],"native_values":[337,466,60],"rotation_degrees":89.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,466,60],"beta":{"interval_sums":[258097,252799,233010],"interval_residues":[60,803,0],"display_cycle":[60,803,863],"intervals":[{"from_index":430,"to_index":1006,"sum":258097,"residue":60},{"from_index":1006,"to_index":1582,"sum":252799,"residue":803},{"from_index":1582,"to_index":430,"sum":233010,"residue":0}],"minimal_cycle":[60,803,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[430,1006],"circle_positions":863,"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":[431,1007,1583],"clock_positions":[431,1007,1583],"native_values":[463,860,403],"rotation_degrees":89.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,860,403],"beta":{"interval_sums":[258100,251999,232944],"interval_residues":[63,3,797],"display_cycle":[63,3,797],"intervals":[{"from_index":431,"to_index":1007,"sum":258100,"residue":63},{"from_index":1007,"to_index":1583,"sum":251999,"residue":3},{"from_index":1583,"to_index":431,"sum":232944,"residue":797}],"minimal_cycle":[63,3,797],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[431,1007],"circle_positions":863,"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":[432,1008,1584],"clock_positions":[432,1008,1584],"native_values":[800,463,463],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[800,463,463],"beta":{"interval_sums":[258160,251939,232944],"interval_residues":[123,806,797],"display_cycle":[123,806,797],"intervals":[{"from_index":432,"to_index":1008,"sum":258160,"residue":123},{"from_index":1008,"to_index":1584,"sum":251939,"residue":806},{"from_index":1584,"to_index":432,"sum":232944,"residue":797}],"minimal_cycle":[123,806,797],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[432,1008],"circle_positions":863,"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":[433,1009,1585],"clock_positions":[433,1009,1585],"native_values":[400,460,3],"rotation_degrees":90.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,460,3],"beta":{"interval_sums":[258223,251942,233741],"interval_residues":[186,809,731],"display_cycle":[186,809,731],"intervals":[{"from_index":433,"to_index":1009,"sum":258223,"residue":186},{"from_index":1009,"to_index":1585,"sum":251942,"residue":809},{"from_index":1585,"to_index":433,"sum":233741,"residue":731}],"minimal_cycle":[186,809,731],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[433,1009],"circle_positions":863,"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":[434,1010,1586],"clock_positions":[434,1010,1586],"native_values":[337,60,466],"rotation_degrees":90.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,60,466],"beta":{"interval_sums":[258346,251885,233675],"interval_residues":[309,752,665],"display_cycle":[309,752,665],"intervals":[{"from_index":434,"to_index":1010,"sum":258346,"residue":309},{"from_index":1010,"to_index":1586,"sum":251885,"residue":752},{"from_index":1586,"to_index":434,"sum":233675,"residue":665}],"minimal_cycle":[309,752,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[434,1010],"circle_positions":863,"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":[435,1011,1587],"clock_positions":[435,1011,1587],"native_values":[737,520,469],"rotation_degrees":90.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[737,520,469],"beta":{"interval_sums":[257669,251831,233543],"interval_residues":[495,698,533],"display_cycle":[495,698,533],"intervals":[{"from_index":435,"to_index":1011,"sum":257669,"residue":495},{"from_index":1011,"to_index":1587,"sum":251831,"residue":698},{"from_index":1587,"to_index":435,"sum":233543,"residue":533}],"minimal_cycle":[495,698,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[435,1011],"circle_positions":863,"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":[436,1012,1588],"clock_positions":[436,1012,1588],"native_values":[211,580,72],"rotation_degrees":90.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,580,72],"beta":{"interval_sums":[257978,251720,234208],"interval_residues":[804,587,335],"display_cycle":[804,587,335],"intervals":[{"from_index":436,"to_index":1012,"sum":257978,"residue":804},{"from_index":1012,"to_index":1588,"sum":251720,"residue":587},{"from_index":1588,"to_index":436,"sum":234208,"residue":335}],"minimal_cycle":[804,587,335],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[436,1012],"circle_positions":863,"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":[437,1013,1589],"clock_positions":[437,1013,1589],"native_values":[85,237,541],"rotation_degrees":91.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,237,541],"beta":{"interval_sums":[258473,251555,233878],"interval_residues":[436,422,5],"display_cycle":[436,422,5],"intervals":[{"from_index":437,"to_index":1013,"sum":258473,"residue":436},{"from_index":1013,"to_index":1589,"sum":251555,"residue":422},{"from_index":1589,"to_index":437,"sum":233878,"residue":5}],"minimal_cycle":[436,422,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[437,1013],"circle_positions":863,"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":[438,1014,1590],"clock_positions":[438,1014,1590],"native_values":[296,817,613],"rotation_degrees":91.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,817,613],"beta":{"interval_sums":[258414,251279,233350],"interval_residues":[377,146,340],"display_cycle":[377,146,340],"intervals":[{"from_index":438,"to_index":1014,"sum":258414,"residue":377},{"from_index":1014,"to_index":1590,"sum":251279,"residue":146},{"from_index":1590,"to_index":438,"sum":233350,"residue":340}],"minimal_cycle":[377,146,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[438,1014],"circle_positions":863,"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":[439,1015,1591],"clock_positions":[439,1015,1591],"native_values":[381,191,291],"rotation_degrees":91.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,191,291],"beta":{"interval_sums":[258850,251701,233355],"interval_residues":[813,568,345],"display_cycle":[813,568,345],"intervals":[{"from_index":439,"to_index":1015,"sum":258850,"residue":813},{"from_index":1015,"to_index":1591,"sum":251701,"residue":568},{"from_index":1591,"to_index":439,"sum":233355,"residue":345}],"minimal_cycle":[813,568,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":813,"start_interval_clock_positions":[439,1015],"circle_positions":863,"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":[440,1016,1592],"clock_positions":[440,1016,1592],"native_values":[677,145,41],"rotation_degrees":91.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,145,41],"beta":{"interval_sums":[258364,251847,233695],"interval_residues":[327,714,685],"display_cycle":[327,714,685],"intervals":[{"from_index":440,"to_index":1016,"sum":258364,"residue":327},{"from_index":1016,"to_index":1592,"sum":251847,"residue":714},{"from_index":1592,"to_index":440,"sum":233695,"residue":685}],"minimal_cycle":[327,714,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[440,1016],"circle_positions":863,"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":[441,1017,1593],"clock_positions":[441,1017,1593],"native_values":[195,336,332],"rotation_degrees":91.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,336,332],"beta":{"interval_sums":[258314,251552,234040],"interval_residues":[277,419,167],"display_cycle":[277,419,167],"intervals":[{"from_index":441,"to_index":1017,"sum":258314,"residue":277},{"from_index":1017,"to_index":1593,"sum":251552,"residue":419},{"from_index":1593,"to_index":441,"sum":234040,"residue":167}],"minimal_cycle":[277,419,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[441,1017],"circle_positions":863,"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":[442,1018,1594],"clock_positions":[442,1018,1594],"native_values":[9,481,373],"rotation_degrees":92.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,481,373],"beta":{"interval_sums":[258641,251403,233862],"interval_residues":[604,270,852],"display_cycle":[604,270,852],"intervals":[{"from_index":442,"to_index":1018,"sum":258641,"residue":604},{"from_index":1018,"to_index":1594,"sum":251403,"residue":270},{"from_index":1594,"to_index":442,"sum":233862,"residue":852}],"minimal_cycle":[604,270,852],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[442,1018],"circle_positions":863,"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":[443,1019,1595],"clock_positions":[443,1019,1595],"native_values":[204,817,705],"rotation_degrees":92.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[204,817,705],"beta":{"interval_sums":[258918,250959,233166],"interval_residues":[18,689,156],"display_cycle":[18,689,156],"intervals":[{"from_index":443,"to_index":1019,"sum":258918,"residue":18},{"from_index":1019,"to_index":1595,"sum":250959,"residue":689},{"from_index":1595,"to_index":443,"sum":233166,"residue":156}],"minimal_cycle":[18,689,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[443,1019],"circle_positions":863,"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":[444,1020,1596],"clock_positions":[444,1020,1596],"native_values":[213,435,215],"rotation_degrees":92.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,435,215],"beta":{"interval_sums":[259522,251229,233155],"interval_residues":[622,96,145],"display_cycle":[622,96,145],"intervals":[{"from_index":444,"to_index":1020,"sum":259522,"residue":622},{"from_index":1020,"to_index":1596,"sum":251229,"residue":96},{"from_index":1596,"to_index":444,"sum":233155,"residue":145}],"minimal_cycle":[622,96,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[444,1020],"circle_positions":863,"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":[445,1021,1597],"clock_positions":[445,1021,1597],"native_values":[417,389,57],"rotation_degrees":92.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,389,57],"beta":{"interval_sums":[259540,251055,233311],"interval_residues":[640,785,301],"display_cycle":[640,785,301],"intervals":[{"from_index":445,"to_index":1021,"sum":259540,"residue":640},{"from_index":1021,"to_index":1597,"sum":251055,"residue":785},{"from_index":1597,"to_index":445,"sum":233311,"residue":301}],"minimal_cycle":[640,785,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[445,1021],"circle_positions":863,"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":[446,1022,1598],"clock_positions":[446,1022,1598],"native_values":[630,824,272],"rotation_degrees":92.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,824,272],"beta":{"interval_sums":[259299,250288,233456],"interval_residues":[399,18,446],"display_cycle":[399,18,446],"intervals":[{"from_index":446,"to_index":1022,"sum":259299,"residue":399},{"from_index":1022,"to_index":1598,"sum":250288,"residue":18},{"from_index":1598,"to_index":446,"sum":233456,"residue":446}],"minimal_cycle":[399,18,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":399,"start_interval_clock_positions":[446,1022],"circle_positions":863,"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":[447,1023,1599],"clock_positions":[447,1023,1599],"native_values":[184,350,329],"rotation_degrees":93.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,350,329],"beta":{"interval_sums":[259939,250210,233757],"interval_residues":[176,803,747],"display_cycle":[176,803,747],"intervals":[{"from_index":447,"to_index":1023,"sum":259939,"residue":176},{"from_index":1023,"to_index":1599,"sum":250210,"residue":803},{"from_index":1599,"to_index":447,"sum":233757,"residue":747}],"minimal_cycle":[176,803,747],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[447,1023],"circle_positions":863,"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":[448,1024,1600],"clock_positions":[448,1024,1600],"native_values":[814,311,601],"rotation_degrees":93.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[814,311,601],"beta":{"interval_sums":[259475,250228,233340],"interval_residues":[575,821,330],"display_cycle":[575,821,330],"intervals":[{"from_index":448,"to_index":1024,"sum":259475,"residue":575},{"from_index":1024,"to_index":1600,"sum":250228,"residue":821},{"from_index":1600,"to_index":448,"sum":233340,"residue":330}],"minimal_cycle":[575,821,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[448,1024],"circle_positions":863,"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":[449,1025,1601],"clock_positions":[449,1025,1601],"native_values":[135,661,67],"rotation_degrees":93.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,661,67],"beta":{"interval_sums":[259651,250168,234087],"interval_residues":[751,761,214],"display_cycle":[751,761,214],"intervals":[{"from_index":449,"to_index":1025,"sum":259651,"residue":751},{"from_index":1025,"to_index":1601,"sum":250168,"residue":761},{"from_index":1601,"to_index":449,"sum":234087,"residue":214}],"minimal_cycle":[751,761,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":751,"start_interval_clock_positions":[449,1025],"circle_positions":863,"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":[450,1026,1602],"clock_positions":[450,1026,1602],"native_values":[86,109,668],"rotation_degrees":93.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[86,109,668],"beta":{"interval_sums":[260226,250126,233554],"interval_residues":[463,719,544],"display_cycle":[463,719,544],"intervals":[{"from_index":450,"to_index":1026,"sum":260226,"residue":463},{"from_index":1026,"to_index":1602,"sum":250126,"residue":719},{"from_index":1602,"to_index":450,"sum":233554,"residue":544}],"minimal_cycle":[463,719,544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":463,"start_interval_clock_positions":[450,1026],"circle_positions":863,"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":[451,1027,1603],"clock_positions":[451,1027,1603],"native_values":[221,770,735],"rotation_degrees":93.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,770,735],"beta":{"interval_sums":[260114,250024,232905],"interval_residues":[351,617,758],"display_cycle":[351,617,758],"intervals":[{"from_index":451,"to_index":1027,"sum":260114,"residue":351},{"from_index":1027,"to_index":1603,"sum":250024,"residue":617},{"from_index":1603,"to_index":451,"sum":232905,"residue":758}],"minimal_cycle":[351,617,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[451,1027],"circle_positions":863,"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":[452,1028,1604],"clock_positions":[452,1028,1604],"native_values":[307,16,540],"rotation_degrees":94.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,16,540],"beta":{"interval_sums":[260577,250743,232586],"interval_residues":[814,473,439],"display_cycle":[814,473,439],"intervals":[{"from_index":452,"to_index":1028,"sum":260577,"residue":814},{"from_index":1028,"to_index":1604,"sum":250743,"residue":473},{"from_index":1604,"to_index":452,"sum":232586,"residue":439}],"minimal_cycle":[814,473,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[452,1028],"circle_positions":863,"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":[453,1029,1605],"clock_positions":[453,1029,1605],"native_values":[528,786,412],"rotation_degrees":94.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,786,412],"beta":{"interval_sums":[260065,250497,232481],"interval_residues":[302,227,334],"display_cycle":[302,227,334],"intervals":[{"from_index":453,"to_index":1029,"sum":260065,"residue":302},{"from_index":1029,"to_index":1605,"sum":250497,"residue":227},{"from_index":1605,"to_index":453,"sum":232481,"residue":334}],"minimal_cycle":[302,227,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[453,1029],"circle_positions":863,"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":[454,1030,1606],"clock_positions":[454,1030,1606],"native_values":[835,802,89],"rotation_degrees":94.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[835,802,89],"beta":{"interval_sums":[260016,250107,232920],"interval_residues":[253,700,773],"display_cycle":[253,700,773],"intervals":[{"from_index":454,"to_index":1030,"sum":260016,"residue":253},{"from_index":1030,"to_index":1606,"sum":250107,"residue":700},{"from_index":1606,"to_index":454,"sum":232920,"residue":773}],"minimal_cycle":[253,700,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[454,1030],"circle_positions":863,"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":[455,1031,1607],"clock_positions":[455,1031,1607],"native_values":[500,725,501],"rotation_degrees":94.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[500,725,501],"beta":{"interval_sums":[260318,249471,233254],"interval_residues":[555,64,244],"display_cycle":[555,64,244],"intervals":[{"from_index":455,"to_index":1031,"sum":260318,"residue":555},{"from_index":1031,"to_index":1607,"sum":249471,"residue":64},{"from_index":1607,"to_index":455,"sum":233254,"residue":244}],"minimal_cycle":[555,64,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":555,"start_interval_clock_positions":[455,1031],"circle_positions":863,"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":[456,1032,1608],"clock_positions":[456,1032,1608],"native_values":[472,664,590],"rotation_degrees":95.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,664,590],"beta":{"interval_sums":[260571,249308,233164],"interval_residues":[808,764,154],"display_cycle":[808,764,154],"intervals":[{"from_index":456,"to_index":1032,"sum":260571,"residue":808},{"from_index":1032,"to_index":1608,"sum":249308,"residue":764},{"from_index":1608,"to_index":456,"sum":233164,"residue":154}],"minimal_cycle":[808,764,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":808,"start_interval_clock_positions":[456,1032],"circle_positions":863,"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":[457,1033,1609],"clock_positions":[457,1033,1609],"native_values":[109,526,228],"rotation_degrees":95.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,526,228],"beta":{"interval_sums":[261126,249372,233408],"interval_residues":[500,828,398],"display_cycle":[500,828,398],"intervals":[{"from_index":457,"to_index":1033,"sum":261126,"residue":500},{"from_index":1033,"to_index":1609,"sum":249372,"residue":828},{"from_index":1609,"to_index":457,"sum":233408,"residue":398}],"minimal_cycle":[500,828,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[457,1033],"circle_positions":863,"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":[458,1034,1610],"clock_positions":[458,1034,1610],"native_values":[581,327,818],"rotation_degrees":95.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,327,818],"beta":{"interval_sums":[261071,249273,232699],"interval_residues":[445,729,552],"display_cycle":[445,729,552],"intervals":[{"from_index":458,"to_index":1034,"sum":261071,"residue":445},{"from_index":1034,"to_index":1610,"sum":249273,"residue":729},{"from_index":1610,"to_index":458,"sum":232699,"residue":552}],"minimal_cycle":[445,729,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":445,"start_interval_clock_positions":[458,1034],"circle_positions":863,"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":[459,1035,1611],"clock_positions":[459,1035,1611],"native_values":[690,853,183],"rotation_degrees":95.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[690,853,183],"beta":{"interval_sums":[260708,249238,233097],"interval_residues":[82,694,87],"display_cycle":[82,694,87],"intervals":[{"from_index":459,"to_index":1035,"sum":260708,"residue":82},{"from_index":1035,"to_index":1611,"sum":249238,"residue":694},{"from_index":1611,"to_index":459,"sum":233097,"residue":87}],"minimal_cycle":[82,694,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[459,1035],"circle_positions":863,"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":[460,1036,1612],"clock_positions":[460,1036,1612],"native_values":[408,317,138],"rotation_degrees":95.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,317,138],"beta":{"interval_sums":[261153,249104,233649],"interval_residues":[527,560,639],"display_cycle":[527,560,639],"intervals":[{"from_index":460,"to_index":1036,"sum":261153,"residue":527},{"from_index":1036,"to_index":1612,"sum":249104,"residue":560},{"from_index":1612,"to_index":460,"sum":233649,"residue":639}],"minimal_cycle":[527,560,639],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":527,"start_interval_clock_positions":[460,1036],"circle_positions":863,"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":[461,1037,1613],"clock_positions":[461,1037,1613],"native_values":[235,307,321],"rotation_degrees":96.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,307,321],"beta":{"interval_sums":[261235,248935,233736],"interval_residues":[609,391,726],"display_cycle":[609,391,726],"intervals":[{"from_index":461,"to_index":1037,"sum":261235,"residue":609},{"from_index":1037,"to_index":1613,"sum":248935,"residue":391},{"from_index":1613,"to_index":461,"sum":233736,"residue":726}],"minimal_cycle":[609,391,726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":609,"start_interval_clock_positions":[461,1037],"circle_positions":863,"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":[462,1038,1614],"clock_positions":[462,1038,1614],"native_values":[643,624,459],"rotation_degrees":96.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,624,459],"beta":{"interval_sums":[260899,248632,233512],"interval_residues":[273,88,502],"display_cycle":[273,88,502],"intervals":[{"from_index":462,"to_index":1038,"sum":260899,"residue":273},{"from_index":1038,"to_index":1614,"sum":248632,"residue":88},{"from_index":1614,"to_index":462,"sum":233512,"residue":502}],"minimal_cycle":[273,88,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[462,1038],"circle_positions":863,"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":[463,1039,1615],"clock_positions":[463,1039,1615],"native_values":[15,68,780],"rotation_degrees":96.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,68,780],"beta":{"interval_sums":[261508,249023,233375],"interval_residues":[19,479,365],"display_cycle":[19,479,365],"intervals":[{"from_index":463,"to_index":1039,"sum":261508,"residue":19},{"from_index":1039,"to_index":1615,"sum":249023,"residue":479},{"from_index":1615,"to_index":463,"sum":233375,"residue":365}],"minimal_cycle":[19,479,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[463,1039],"circle_positions":863,"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":[464,1040,1616],"clock_positions":[464,1040,1616],"native_values":[658,692,376],"rotation_degrees":96.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,692,376],"beta":{"interval_sums":[260918,249111,233014],"interval_residues":[292,567,4],"display_cycle":[292,567,4],"intervals":[{"from_index":464,"to_index":1040,"sum":260918,"residue":292},{"from_index":1040,"to_index":1616,"sum":249111,"residue":567},{"from_index":1616,"to_index":464,"sum":233014,"residue":4}],"minimal_cycle":[292,567,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[464,1040],"circle_positions":863,"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":[465,1041,1617],"clock_positions":[465,1041,1617],"native_values":[673,760,293],"rotation_degrees":96.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,760,293],"beta":{"interval_sums":[260937,248727,233379],"interval_residues":[311,183,369],"display_cycle":[311,183,369],"intervals":[{"from_index":465,"to_index":1041,"sum":260937,"residue":311},{"from_index":1041,"to_index":1617,"sum":248727,"residue":183},{"from_index":1617,"to_index":465,"sum":233379,"residue":369}],"minimal_cycle":[311,183,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[465,1041],"circle_positions":863,"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":[466,1042,1618],"clock_positions":[466,1042,1618],"native_values":[468,589,669],"rotation_degrees":97.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,589,669],"beta":{"interval_sums":[261229,248431,233383],"interval_residues":[603,750,373],"display_cycle":[603,750,373],"intervals":[{"from_index":466,"to_index":1042,"sum":261229,"residue":603},{"from_index":1042,"to_index":1618,"sum":248431,"residue":750},{"from_index":1618,"to_index":466,"sum":233383,"residue":373}],"minimal_cycle":[603,750,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[466,1042],"circle_positions":863,"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":[467,1043,1619],"clock_positions":[467,1043,1619],"native_values":[278,486,99],"rotation_degrees":97.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,486,99],"beta":{"interval_sums":[261540,248614,233752],"interval_residues":[51,70,742],"display_cycle":[51,70,742],"intervals":[{"from_index":467,"to_index":1043,"sum":261540,"residue":51},{"from_index":1043,"to_index":1619,"sum":248614,"residue":70},{"from_index":1619,"to_index":467,"sum":233752,"residue":742}],"minimal_cycle":[51,70,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":51,"start_interval_clock_positions":[467,1043],"circle_positions":863,"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":[468,1044,1620],"clock_positions":[468,1044,1620],"native_values":[746,212,768],"rotation_degrees":97.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[746,212,768],"beta":{"interval_sums":[261280,248501,233262],"interval_residues":[654,820,252],"display_cycle":[654,820,252],"intervals":[{"from_index":468,"to_index":1044,"sum":261280,"residue":654},{"from_index":1044,"to_index":1620,"sum":248501,"residue":820},{"from_index":1620,"to_index":468,"sum":233262,"residue":252}],"minimal_cycle":[654,820,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[468,1044],"circle_positions":863,"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":[469,1045,1621],"clock_positions":[469,1045,1621],"native_values":[161,698,4],"rotation_degrees":97.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,698,4],"beta":{"interval_sums":[261331,248571,234004],"interval_residues":[705,27,131],"display_cycle":[705,27,131],"intervals":[{"from_index":469,"to_index":1045,"sum":261331,"residue":705},{"from_index":1045,"to_index":1621,"sum":248571,"residue":27},{"from_index":1621,"to_index":469,"sum":234004,"residue":131}],"minimal_cycle":[705,27,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":705,"start_interval_clock_positions":[469,1045],"circle_positions":863,"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":[470,1046,1622],"clock_positions":[470,1046,1622],"native_values":[44,47,772],"rotation_degrees":97.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,47,772],"beta":{"interval_sums":[261985,248528,233393],"interval_residues":[496,847,383],"display_cycle":[496,847,383],"intervals":[{"from_index":470,"to_index":1046,"sum":261985,"residue":496},{"from_index":1046,"to_index":1622,"sum":248528,"residue":847},{"from_index":1622,"to_index":470,"sum":233393,"residue":383}],"minimal_cycle":[496,847,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[470,1046],"circle_positions":863,"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":[471,1047,1623],"clock_positions":[471,1047,1623],"native_values":[205,745,776],"rotation_degrees":98.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,745,776],"beta":{"interval_sums":[261827,248555,232661],"interval_residues":[338,11,514],"display_cycle":[338,11,514],"intervals":[{"from_index":471,"to_index":1047,"sum":261827,"residue":338},{"from_index":1047,"to_index":1623,"sum":248555,"residue":11},{"from_index":1623,"to_index":471,"sum":232661,"residue":514}],"minimal_cycle":[338,11,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[471,1047],"circle_positions":863,"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":[472,1048,1624],"clock_positions":[472,1048,1624],"native_values":[249,792,685],"rotation_degrees":98.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,792,685],"beta":{"interval_sums":[262323,248539,232181],"interval_residues":[834,858,34],"display_cycle":[834,858,34],"intervals":[{"from_index":472,"to_index":1048,"sum":262323,"residue":834},{"from_index":1048,"to_index":1624,"sum":248539,"residue":858},{"from_index":1624,"to_index":472,"sum":232181,"residue":34}],"minimal_cycle":[834,858,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":834,"start_interval_clock_positions":[472,1048],"circle_positions":863,"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":[473,1049,1625],"clock_positions":[473,1049,1625],"native_values":[454,674,598],"rotation_degrees":98.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[454,674,598],"beta":{"interval_sums":[262661,248550,231832],"interval_residues":[309,6,548],"display_cycle":[309,6,548],"intervals":[{"from_index":473,"to_index":1049,"sum":262661,"residue":309},{"from_index":1049,"to_index":1625,"sum":248550,"residue":6},{"from_index":1625,"to_index":473,"sum":231832,"residue":548}],"minimal_cycle":[309,6,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[473,1049],"circle_positions":863,"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":[474,1050,1626],"clock_positions":[474,1050,1626],"native_values":[703,603,420],"rotation_degrees":98.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,603,420],"beta":{"interval_sums":[262632,248545,231866],"interval_residues":[280,1,582],"display_cycle":[280,1,582],"intervals":[{"from_index":474,"to_index":1050,"sum":262632,"residue":280},{"from_index":1050,"to_index":1626,"sum":248545,"residue":1},{"from_index":1626,"to_index":474,"sum":231866,"residue":582}],"minimal_cycle":[280,1,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[474,1050],"circle_positions":863,"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":[475,1051,1627],"clock_positions":[475,1051,1627],"native_values":[294,414,155],"rotation_degrees":98.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,414,155],"beta":{"interval_sums":[262941,248551,232414],"interval_residues":[589,7,267],"display_cycle":[589,7,267],"intervals":[{"from_index":475,"to_index":1051,"sum":262941,"residue":589},{"from_index":1051,"to_index":1627,"sum":248551,"residue":7},{"from_index":1627,"to_index":475,"sum":232414,"residue":267}],"minimal_cycle":[589,7,267],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[475,1051],"circle_positions":863,"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":[476,1052,1628],"clock_positions":[476,1052,1628],"native_values":[134,154,575],"rotation_degrees":99.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,154,575],"beta":{"interval_sums":[263221,248552,232133],"interval_residues":[6,8,849],"display_cycle":[6,8,849],"intervals":[{"from_index":476,"to_index":1052,"sum":263221,"residue":6},{"from_index":1052,"to_index":1628,"sum":248552,"residue":8},{"from_index":1628,"to_index":476,"sum":232133,"residue":849}],"minimal_cycle":[6,8,849],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[476,1052],"circle_positions":863,"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":[477,1053,1629],"clock_positions":[477,1053,1629],"native_values":[428,568,730],"rotation_degrees":99.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,568,730],"beta":{"interval_sums":[262947,248559,231537],"interval_residues":[595,15,253],"display_cycle":[595,15,253],"intervals":[{"from_index":477,"to_index":1053,"sum":262947,"residue":595},{"from_index":1053,"to_index":1629,"sum":248559,"residue":15},{"from_index":1629,"to_index":477,"sum":231537,"residue":253}],"minimal_cycle":[595,15,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":595,"start_interval_clock_positions":[477,1053],"circle_positions":863,"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":[478,1054,1630],"clock_positions":[478,1054,1630],"native_values":[562,722,442],"rotation_degrees":99.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,722,442],"beta":{"interval_sums":[262953,248567,231523],"interval_residues":[601,23,239],"display_cycle":[601,23,239],"intervals":[{"from_index":478,"to_index":1054,"sum":262953,"residue":601},{"from_index":1054,"to_index":1630,"sum":248567,"residue":23},{"from_index":1630,"to_index":478,"sum":231523,"residue":239}],"minimal_cycle":[601,23,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[478,1054],"circle_positions":863,"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":[479,1055,1631],"clock_positions":[479,1055,1631],"native_values":[127,427,309],"rotation_degrees":99.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,427,309],"beta":{"interval_sums":[263548,248582,231776],"interval_residues":[333,38,492],"display_cycle":[333,38,492],"intervals":[{"from_index":479,"to_index":1055,"sum":263548,"residue":333},{"from_index":1055,"to_index":1631,"sum":248582,"residue":38},{"from_index":1631,"to_index":479,"sum":231776,"residue":492}],"minimal_cycle":[333,38,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[479,1055],"circle_positions":863,"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":[480,1056,1632],"clock_positions":[480,1056,1632],"native_values":[689,286,751],"rotation_degrees":100.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,286,751],"beta":{"interval_sums":[263286,248605,231152],"interval_residues":[71,61,731],"display_cycle":[71,61,731],"intervals":[{"from_index":480,"to_index":1056,"sum":263286,"residue":71},{"from_index":1056,"to_index":1632,"sum":248605,"residue":61},{"from_index":1632,"to_index":480,"sum":231152,"residue":731}],"minimal_cycle":[71,61,731],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[480,1056],"circle_positions":863,"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":[481,1057,1633],"clock_positions":[481,1057,1633],"native_values":[816,713,197],"rotation_degrees":100.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[816,713,197],"beta":{"interval_sums":[262756,248643,231644],"interval_residues":[404,99,360],"display_cycle":[404,99,360],"intervals":[{"from_index":481,"to_index":1057,"sum":262756,"residue":404},{"from_index":1057,"to_index":1633,"sum":248643,"residue":99},{"from_index":1633,"to_index":481,"sum":231644,"residue":360}],"minimal_cycle":[404,99,360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[481,1057],"circle_positions":863,"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":[482,1058,1634],"clock_positions":[482,1058,1634],"native_values":[642,136,85],"rotation_degrees":100.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,136,85],"beta":{"interval_sums":[262827,248704,232375],"interval_residues":[475,160,228],"display_cycle":[475,160,228],"intervals":[{"from_index":482,"to_index":1058,"sum":262827,"residue":475},{"from_index":1058,"to_index":1634,"sum":248704,"residue":160},{"from_index":1634,"to_index":482,"sum":232375,"residue":228}],"minimal_cycle":[475,160,228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[482,1058],"circle_positions":863,"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":[483,1059,1635],"clock_positions":[483,1059,1635],"native_values":[595,849,282],"rotation_degrees":100.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,849,282],"beta":{"interval_sums":[262368,247940,232735],"interval_residues":[16,259,588],"display_cycle":[16,259,588],"intervals":[{"from_index":483,"to_index":1059,"sum":262368,"residue":16},{"from_index":1059,"to_index":1635,"sum":247940,"residue":259},{"from_index":1635,"to_index":483,"sum":232735,"residue":588}],"minimal_cycle":[16,259,588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[483,1059],"circle_positions":863,"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":[484,1060,1636],"clock_positions":[484,1060,1636],"native_values":[374,122,367],"rotation_degrees":100.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,122,367],"beta":{"interval_sums":[262843,248100,232963],"interval_residues":[491,419,816],"display_cycle":[491,419,816],"intervals":[{"from_index":484,"to_index":1060,"sum":262843,"residue":491},{"from_index":1060,"to_index":1636,"sum":248100,"residue":419},{"from_index":1636,"to_index":484,"sum":232963,"residue":816}],"minimal_cycle":[491,419,816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[484,1060],"circle_positions":863,"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":[485,1061,1637],"clock_positions":[485,1061,1637],"native_values":[106,108,649],"rotation_degrees":101.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[106,108,649],"beta":{"interval_sums":[262859,248359,232688],"interval_residues":[507,678,541],"display_cycle":[507,678,541],"intervals":[{"from_index":485,"to_index":1061,"sum":262859,"residue":507},{"from_index":1061,"to_index":1637,"sum":248359,"residue":678},{"from_index":1637,"to_index":485,"sum":232688,"residue":541}],"minimal_cycle":[507,678,541],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[485,1061],"circle_positions":863,"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":[486,1062,1638],"clock_positions":[486,1062,1638],"native_values":[480,230,153],"rotation_degrees":101.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,230,153],"beta":{"interval_sums":[262487,248778,232641],"interval_residues":[135,234,494],"display_cycle":[135,234,494],"intervals":[{"from_index":486,"to_index":1062,"sum":262487,"residue":135},{"from_index":1062,"to_index":1638,"sum":248778,"residue":234},{"from_index":1638,"to_index":486,"sum":232641,"residue":494}],"minimal_cycle":[135,234,494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[486,1062],"circle_positions":863,"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":[487,1063,1639],"clock_positions":[487,1063,1639],"native_values":[586,338,802],"rotation_degrees":101.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,338,802],"beta":{"interval_sums":[262131,248593,232319],"interval_residues":[642,49,172],"display_cycle":[642,49,172],"intervals":[{"from_index":487,"to_index":1063,"sum":262131,"residue":642},{"from_index":1063,"to_index":1639,"sum":248593,"residue":49},{"from_index":1639,"to_index":487,"sum":232319,"residue":172}],"minimal_cycle":[642,49,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[487,1063],"circle_positions":863,"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":[488,1064,1640],"clock_positions":[488,1064,1640],"native_values":[203,568,92],"rotation_degrees":101.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,568,92],"beta":{"interval_sums":[262266,248827,232813],"interval_residues":[777,283,666],"display_cycle":[777,283,666],"intervals":[{"from_index":488,"to_index":1064,"sum":262266,"residue":777},{"from_index":1064,"to_index":1640,"sum":248827,"residue":283},{"from_index":1640,"to_index":488,"sum":232813,"residue":666}],"minimal_cycle":[777,283,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":777,"start_interval_clock_positions":[488,1064],"circle_positions":863,"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":[489,1065,1641],"clock_positions":[489,1065,1641],"native_values":[789,43,31],"rotation_degrees":101.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[789,43,31],"beta":{"interval_sums":[262045,248876,232985],"interval_residues":[556,332,838],"display_cycle":[556,332,838],"intervals":[{"from_index":489,"to_index":1065,"sum":262045,"residue":556},{"from_index":1065,"to_index":1641,"sum":248876,"residue":332},{"from_index":1641,"to_index":489,"sum":232985,"residue":838}],"minimal_cycle":[556,332,838],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[489,1065],"circle_positions":863,"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":[490,1066,1642],"clock_positions":[490,1066,1642],"native_values":[129,611,123],"rotation_degrees":102.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,611,123],"beta":{"interval_sums":[261959,248296,233651],"interval_residues":[470,615,641],"display_cycle":[470,615,641],"intervals":[{"from_index":490,"to_index":1066,"sum":261959,"residue":470},{"from_index":1066,"to_index":1642,"sum":248296,"residue":615},{"from_index":1642,"to_index":490,"sum":233651,"residue":641}],"minimal_cycle":[470,615,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[490,1066],"circle_positions":863,"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":[491,1067,1643],"clock_positions":[491,1067,1643],"native_values":[55,654,154],"rotation_degrees":102.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,654,154],"beta":{"interval_sums":[262515,247765,233626],"interval_residues":[163,84,616],"display_cycle":[163,84,616],"intervals":[{"from_index":491,"to_index":1067,"sum":262515,"residue":163},{"from_index":1067,"to_index":1643,"sum":247765,"residue":84},{"from_index":1643,"to_index":491,"sum":233626,"residue":616}],"minimal_cycle":[163,84,616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[491,1067],"circle_positions":863,"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":[492,1068,1644],"clock_positions":[492,1068,1644],"native_values":[184,402,277],"rotation_degrees":102.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,402,277],"beta":{"interval_sums":[262985,247517,233404],"interval_residues":[633,699,394],"display_cycle":[633,699,394],"intervals":[{"from_index":492,"to_index":1068,"sum":262985,"residue":633},{"from_index":1068,"to_index":1644,"sum":247517,"residue":699},{"from_index":1644,"to_index":492,"sum":233404,"residue":394}],"minimal_cycle":[633,699,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":633,"start_interval_clock_positions":[492,1068],"circle_positions":863,"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":[493,1069,1645],"clock_positions":[493,1069,1645],"native_values":[239,193,431],"rotation_degrees":102.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,193,431],"beta":{"interval_sums":[263148,247601,233157],"interval_residues":[796,783,147],"display_cycle":[796,783,147],"intervals":[{"from_index":493,"to_index":1069,"sum":263148,"residue":796},{"from_index":1069,"to_index":1645,"sum":247601,"residue":783},{"from_index":1645,"to_index":493,"sum":233157,"residue":147}],"minimal_cycle":[796,783,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[493,1069],"circle_positions":863,"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":[494,1070,1646],"clock_positions":[494,1070,1646],"native_values":[423,595,708],"rotation_degrees":102.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,595,708],"beta":{"interval_sums":[262918,247437,232688],"interval_residues":[566,619,541],"display_cycle":[566,619,541],"intervals":[{"from_index":494,"to_index":1070,"sum":262918,"residue":566},{"from_index":1070,"to_index":1646,"sum":247437,"residue":619},{"from_index":1646,"to_index":494,"sum":232688,"residue":541}],"minimal_cycle":[566,619,541],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[494,1070],"circle_positions":863,"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":[495,1071,1647],"clock_positions":[495,1071,1647],"native_values":[662,788,276],"rotation_degrees":103.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[662,788,276],"beta":{"interval_sums":[262851,247357,232835],"interval_residues":[499,539,688],"display_cycle":[499,539,688],"intervals":[{"from_index":495,"to_index":1071,"sum":262851,"residue":499},{"from_index":1071,"to_index":1647,"sum":247357,"residue":539},{"from_index":1647,"to_index":495,"sum":232835,"residue":688}],"minimal_cycle":[499,539,688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":499,"start_interval_clock_positions":[495,1071],"circle_positions":863,"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":[496,1072,1648],"clock_positions":[496,1072,1648],"native_values":[222,520,121],"rotation_degrees":103.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,520,121],"beta":{"interval_sums":[263417,247113,233376],"interval_residues":[202,295,366],"display_cycle":[202,295,366],"intervals":[{"from_index":496,"to_index":1072,"sum":263417,"residue":202},{"from_index":1072,"to_index":1648,"sum":247113,"residue":295},{"from_index":1648,"to_index":496,"sum":233376,"residue":366}],"minimal_cycle":[202,295,366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[496,1072],"circle_positions":863,"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":[497,1073,1649],"clock_positions":[497,1073,1649],"native_values":[21,445,397],"rotation_degrees":103.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,445,397],"beta":{"interval_sums":[263916,246789,233201],"interval_residues":[701,834,191],"display_cycle":[701,834,191],"intervals":[{"from_index":497,"to_index":1073,"sum":263916,"residue":701},{"from_index":1073,"to_index":1649,"sum":246789,"residue":834},{"from_index":1649,"to_index":497,"sum":233201,"residue":191}],"minimal_cycle":[701,834,191],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[497,1073],"circle_positions":863,"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":[498,1074,1650],"clock_positions":[498,1074,1650],"native_values":[243,102,518],"rotation_degrees":103.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,102,518],"beta":{"interval_sums":[264118,247084,232704],"interval_residues":[40,266,557],"display_cycle":[40,266,557],"intervals":[{"from_index":498,"to_index":1074,"sum":264118,"residue":40},{"from_index":1074,"to_index":1650,"sum":247084,"residue":266},{"from_index":1650,"to_index":498,"sum":232704,"residue":557}],"minimal_cycle":[40,266,557],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[498,1074],"circle_positions":863,"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":[499,1075,1651],"clock_positions":[499,1075,1651],"native_values":[264,547,52],"rotation_degrees":103.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[264,547,52],"beta":{"interval_sums":[263956,247055,232895],"interval_residues":[741,237,748],"display_cycle":[741,237,748],"intervals":[{"from_index":499,"to_index":1075,"sum":263956,"residue":741},{"from_index":1075,"to_index":1651,"sum":247055,"residue":237},{"from_index":1651,"to_index":499,"sum":232895,"residue":748}],"minimal_cycle":[741,237,748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[499,1075],"circle_positions":863,"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":[500,1076,1652],"clock_positions":[500,1076,1652],"native_values":[507,649,570],"rotation_degrees":104.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,649,570],"beta":{"interval_sums":[263996,246458,232589],"interval_residues":[781,503,442],"display_cycle":[781,503,442],"intervals":[{"from_index":500,"to_index":1076,"sum":263996,"residue":781},{"from_index":1076,"to_index":1652,"sum":246458,"residue":503},{"from_index":1652,"to_index":500,"sum":232589,"residue":442}],"minimal_cycle":[781,503,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":781,"start_interval_clock_positions":[500,1076],"circle_positions":863,"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":[501,1077,1653],"clock_positions":[501,1077,1653],"native_values":[771,333,622],"rotation_degrees":104.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,333,622],"beta":{"interval_sums":[263874,246695,232474],"interval_residues":[659,740,327],"display_cycle":[659,740,327],"intervals":[{"from_index":501,"to_index":1077,"sum":263874,"residue":659},{"from_index":1077,"to_index":1653,"sum":246695,"residue":740},{"from_index":1653,"to_index":501,"sum":232474,"residue":327}],"minimal_cycle":[659,740,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":659,"start_interval_clock_positions":[501,1077],"circle_positions":863,"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":[502,1078,1654],"clock_positions":[502,1078,1654],"native_values":[415,119,329],"rotation_degrees":104.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,119,329],"beta":{"interval_sums":[263792,247198,232916],"interval_residues":[577,380,769],"display_cycle":[577,380,769],"intervals":[{"from_index":502,"to_index":1078,"sum":263792,"residue":577},{"from_index":1078,"to_index":1654,"sum":247198,"residue":380},{"from_index":1654,"to_index":502,"sum":232916,"residue":769}],"minimal_cycle":[577,380,769],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[502,1078],"circle_positions":863,"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":[503,1079,1655],"clock_positions":[503,1079,1655],"native_values":[323,452,88],"rotation_degrees":104.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,452,88],"beta":{"interval_sums":[263588,247075,233243],"interval_residues":[373,257,233],"display_cycle":[373,257,233],"intervals":[{"from_index":503,"to_index":1079,"sum":263588,"residue":373},{"from_index":1079,"to_index":1655,"sum":247075,"residue":257},{"from_index":1655,"to_index":503,"sum":233243,"residue":233}],"minimal_cycle":[373,257,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":373,"start_interval_clock_positions":[503,1079],"circle_positions":863,"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":[504,1080,1656],"clock_positions":[504,1080,1656],"native_values":[738,571,417],"rotation_degrees":105.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,571,417],"beta":{"interval_sums":[263302,246592,233149],"interval_residues":[87,637,139],"display_cycle":[87,637,139],"intervals":[{"from_index":504,"to_index":1080,"sum":263302,"residue":87},{"from_index":1080,"to_index":1656,"sum":246592,"residue":637},{"from_index":1656,"to_index":504,"sum":233149,"residue":139}],"minimal_cycle":[87,637,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[504,1080],"circle_positions":863,"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":[505,1081,1657],"clock_positions":[505,1081,1657],"native_values":[198,160,505],"rotation_degrees":105.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,160,505],"beta":{"interval_sums":[263675,246849,233382],"interval_residues":[460,31,372],"display_cycle":[460,31,372],"intervals":[{"from_index":505,"to_index":1081,"sum":263675,"residue":460},{"from_index":1081,"to_index":1657,"sum":246849,"residue":31},{"from_index":1657,"to_index":505,"sum":233382,"residue":372}],"minimal_cycle":[460,31,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[505,1081],"circle_positions":863,"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":[506,1082,1658],"clock_positions":[506,1082,1658],"native_values":[73,731,59],"rotation_degrees":105.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,731,59],"beta":{"interval_sums":[263762,246623,233521],"interval_residues":[547,668,511],"display_cycle":[547,668,511],"intervals":[{"from_index":506,"to_index":1082,"sum":263762,"residue":547},{"from_index":1082,"to_index":1658,"sum":246623,"residue":668},{"from_index":1658,"to_index":506,"sum":233521,"residue":511}],"minimal_cycle":[547,668,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":547,"start_interval_clock_positions":[506,1082],"circle_positions":863,"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":[507,1083,1659],"clock_positions":[507,1083,1659],"native_values":[271,28,564],"rotation_degrees":105.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,28,564],"beta":{"interval_sums":[264222,246654,233030],"interval_residues":[144,699,20],"display_cycle":[144,699,20],"intervals":[{"from_index":507,"to_index":1083,"sum":264222,"residue":144},{"from_index":1083,"to_index":1659,"sum":246654,"residue":699},{"from_index":1659,"to_index":507,"sum":233030,"residue":20}],"minimal_cycle":[144,699,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[507,1083],"circle_positions":863,"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":[508,1084,1660],"clock_positions":[508,1084,1660],"native_values":[344,759,623],"rotation_degrees":105.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,759,623],"beta":{"interval_sums":[263906,246459,232678],"interval_residues":[691,504,531],"display_cycle":[691,504,531],"intervals":[{"from_index":508,"to_index":1084,"sum":263906,"residue":691},{"from_index":1084,"to_index":1660,"sum":246459,"residue":504},{"from_index":1660,"to_index":508,"sum":232678,"residue":531}],"minimal_cycle":[691,504,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":691,"start_interval_clock_positions":[508,1084],"circle_positions":863,"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":[509,1085,1661],"clock_positions":[509,1085,1661],"native_values":[615,787,324],"rotation_degrees":106.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,787,324],"beta":{"interval_sums":[264050,246295,232698],"interval_residues":[835,340,551],"display_cycle":[835,340,551],"intervals":[{"from_index":509,"to_index":1085,"sum":264050,"residue":835},{"from_index":1085,"to_index":1661,"sum":246295,"residue":340},{"from_index":1661,"to_index":509,"sum":232698,"residue":551}],"minimal_cycle":[835,340,551],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":835,"start_interval_clock_positions":[509,1085],"circle_positions":863,"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":[510,1086,1662],"clock_positions":[510,1086,1662],"native_values":[96,683,84],"rotation_degrees":106.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,683,84],"beta":{"interval_sums":[264741,245936,233229],"interval_residues":[663,844,219],"display_cycle":[663,844,219],"intervals":[{"from_index":510,"to_index":1086,"sum":264741,"residue":663},{"from_index":1086,"to_index":1662,"sum":245936,"residue":844},{"from_index":1662,"to_index":510,"sum":233229,"residue":219}],"minimal_cycle":[663,844,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":663,"start_interval_clock_positions":[510,1086],"circle_positions":863,"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":[511,1087,1663],"clock_positions":[511,1087,1663],"native_values":[711,607,408],"rotation_degrees":106.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,607,408],"beta":{"interval_sums":[264713,245413,232917],"interval_residues":[635,321,770],"display_cycle":[635,321,770],"intervals":[{"from_index":511,"to_index":1087,"sum":264713,"residue":635},{"from_index":1087,"to_index":1663,"sum":245413,"residue":321},{"from_index":1663,"to_index":511,"sum":232917,"residue":770}],"minimal_cycle":[635,321,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":635,"start_interval_clock_positions":[511,1087],"circle_positions":863,"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":[512,1088,1664],"clock_positions":[512,1088,1664],"native_values":[807,427,492],"rotation_degrees":106.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,427,492],"beta":{"interval_sums":[264513,245394,233136],"interval_residues":[435,302,126],"display_cycle":[435,302,126],"intervals":[{"from_index":512,"to_index":1088,"sum":264513,"residue":435},{"from_index":1088,"to_index":1664,"sum":245394,"residue":302},{"from_index":1664,"to_index":512,"sum":233136,"residue":126}],"minimal_cycle":[435,302,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[512,1088],"circle_positions":863,"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":[513,1089,1665],"clock_positions":[513,1089,1665],"native_values":[655,171,37],"rotation_degrees":106.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,171,37],"beta":{"interval_sums":[264285,245715,233906],"interval_residues":[207,623,33],"display_cycle":[207,623,33],"intervals":[{"from_index":513,"to_index":1089,"sum":264285,"residue":207},{"from_index":1089,"to_index":1665,"sum":245715,"residue":623},{"from_index":1665,"to_index":513,"sum":233906,"residue":33}],"minimal_cycle":[207,623,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[513,1089],"circle_positions":863,"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":[514,1090,1666],"clock_positions":[514,1090,1666],"native_values":[599,598,529],"rotation_degrees":107.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[599,598,529],"beta":{"interval_sums":[263857,245154,234032],"interval_residues":[642,62,159],"display_cycle":[642,62,159],"intervals":[{"from_index":514,"to_index":1090,"sum":263857,"residue":642},{"from_index":1090,"to_index":1666,"sum":245154,"residue":62},{"from_index":1666,"to_index":514,"sum":234032,"residue":159}],"minimal_cycle":[642,62,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[514,1090],"circle_positions":863,"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":[515,1091,1667],"clock_positions":[515,1091,1667],"native_values":[391,769,566],"rotation_degrees":107.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,769,566],"beta":{"interval_sums":[264064,244914,234065],"interval_residues":[849,685,192],"display_cycle":[849,685,192],"intervals":[{"from_index":515,"to_index":1091,"sum":264064,"residue":849},{"from_index":1091,"to_index":1667,"sum":244914,"residue":685},{"from_index":1667,"to_index":515,"sum":234065,"residue":192}],"minimal_cycle":[849,685,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":849,"start_interval_clock_positions":[515,1091],"circle_positions":863,"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":[516,1092,1668],"clock_positions":[516,1092,1668],"native_values":[127,504,232],"rotation_degrees":107.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,504,232],"beta":{"interval_sums":[264706,244976,234224],"interval_residues":[628,747,351],"display_cycle":[628,747,351],"intervals":[{"from_index":516,"to_index":1092,"sum":264706,"residue":628},{"from_index":1092,"to_index":1668,"sum":244976,"residue":747},{"from_index":1668,"to_index":516,"sum":234224,"residue":351}],"minimal_cycle":[628,747,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[516,1092],"circle_positions":863,"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":[517,1093,1669],"clock_positions":[517,1093,1669],"native_values":[518,410,798],"rotation_degrees":107.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[518,410,798],"beta":{"interval_sums":[264692,244798,233553],"interval_residues":[614,569,543],"display_cycle":[614,569,543],"intervals":[{"from_index":517,"to_index":1093,"sum":264692,"residue":614},{"from_index":1093,"to_index":1669,"sum":244798,"residue":569},{"from_index":1669,"to_index":517,"sum":233553,"residue":543}],"minimal_cycle":[614,569,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[517,1093],"circle_positions":863,"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":[518,1094,1670],"clock_positions":[518,1094,1670],"native_values":[645,51,167],"rotation_degrees":107.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,51,167],"beta":{"interval_sums":[264457,245545,233904],"interval_residues":[379,453,31],"display_cycle":[379,453,31],"intervals":[{"from_index":518,"to_index":1094,"sum":264457,"residue":379},{"from_index":1094,"to_index":1670,"sum":245545,"residue":453},{"from_index":1670,"to_index":518,"sum":233904,"residue":31}],"minimal_cycle":[379,453,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[518,1094],"circle_positions":863,"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":[519,1095,1671],"clock_positions":[519,1095,1671],"native_values":[300,461,102],"rotation_degrees":108.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,461,102],"beta":{"interval_sums":[264208,245251,234447],"interval_residues":[130,159,574],"display_cycle":[130,159,574],"intervals":[{"from_index":519,"to_index":1095,"sum":264208,"residue":130},{"from_index":1095,"to_index":1671,"sum":245251,"residue":159},{"from_index":1671,"to_index":519,"sum":234447,"residue":574}],"minimal_cycle":[130,159,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[519,1095],"circle_positions":863,"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":[520,1096,1672],"clock_positions":[520,1096,1672],"native_values":[82,512,269],"rotation_degrees":108.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[82,512,269],"beta":{"interval_sums":[264587,244841,234478],"interval_residues":[509,612,605],"display_cycle":[509,612,605],"intervals":[{"from_index":520,"to_index":1096,"sum":264587,"residue":509},{"from_index":1096,"to_index":1672,"sum":244841,"residue":612},{"from_index":1672,"to_index":520,"sum":234478,"residue":605}],"minimal_cycle":[509,612,605],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[520,1096],"circle_positions":863,"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":[521,1097,1673],"clock_positions":[521,1097,1673],"native_values":[382,110,371],"rotation_degrees":108.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,110,371],"beta":{"interval_sums":[264717,245000,234189],"interval_residues":[639,771,316],"display_cycle":[639,771,316],"intervals":[{"from_index":521,"to_index":1097,"sum":264717,"residue":639},{"from_index":1097,"to_index":1673,"sum":245000,"residue":771},{"from_index":1673,"to_index":521,"sum":234189,"residue":316}],"minimal_cycle":[639,771,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[521,1097],"circle_positions":863,"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":[522,1098,1674],"clock_positions":[522,1098,1674],"native_values":[464,622,640],"rotation_degrees":108.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,622,640],"beta":{"interval_sums":[264363,244749,233931],"interval_residues":[285,520,58],"display_cycle":[285,520,58],"intervals":[{"from_index":522,"to_index":1098,"sum":264363,"residue":285},{"from_index":1098,"to_index":1674,"sum":244749,"residue":520},{"from_index":1674,"to_index":522,"sum":233931,"residue":58}],"minimal_cycle":[285,520,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[522,1098],"circle_positions":863,"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":[523,1099,1675],"clock_positions":[523,1099,1675],"native_values":[846,732,148],"rotation_degrees":108.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[846,732,148],"beta":{"interval_sums":[264139,244657,234247],"interval_residues":[61,428,374],"display_cycle":[61,428,374],"intervals":[{"from_index":523,"to_index":1099,"sum":264139,"residue":61},{"from_index":1099,"to_index":1675,"sum":244657,"residue":428},{"from_index":1675,"to_index":523,"sum":234247,"residue":374}],"minimal_cycle":[61,428,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[523,1099],"circle_positions":863,"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":[524,1100,1676],"clock_positions":[524,1100,1676],"native_values":[447,491,788],"rotation_degrees":109.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,491,788],"beta":{"interval_sums":[264424,244314,234305],"interval_residues":[346,85,432],"display_cycle":[346,85,432],"intervals":[{"from_index":524,"to_index":1100,"sum":264424,"residue":346},{"from_index":1100,"to_index":1676,"sum":244314,"residue":85},{"from_index":1676,"to_index":524,"sum":234305,"residue":432}],"minimal_cycle":[346,85,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[524,1100],"circle_positions":863,"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":[525,1101,1677],"clock_positions":[525,1101,1677],"native_values":[430,360,73],"rotation_degrees":109.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[430,360,73],"beta":{"interval_sums":[264485,244742,234679],"interval_residues":[407,513,806],"display_cycle":[407,513,806],"intervals":[{"from_index":525,"to_index":1101,"sum":264485,"residue":407},{"from_index":1101,"to_index":1677,"sum":244742,"residue":513},{"from_index":1677,"to_index":525,"sum":234679,"residue":806}],"minimal_cycle":[407,513,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[525,1101],"circle_positions":863,"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":[526,1102,1678],"clock_positions":[526,1102,1678],"native_values":[14,851,861],"rotation_degrees":109.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,851,861],"beta":{"interval_sums":[264831,243964,234248],"interval_residues":[753,598,375],"display_cycle":[753,598,375],"intervals":[{"from_index":526,"to_index":1102,"sum":264831,"residue":753},{"from_index":1102,"to_index":1678,"sum":243964,"residue":598},{"from_index":1678,"to_index":526,"sum":234248,"residue":375}],"minimal_cycle":[753,598,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":753,"start_interval_clock_positions":[526,1102],"circle_positions":863,"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":[527,1103,1679],"clock_positions":[527,1103,1679],"native_values":[444,348,71],"rotation_degrees":109.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,348,71],"beta":{"interval_sums":[265238,244477,234191],"interval_residues":[297,248,318],"display_cycle":[297,248,318],"intervals":[{"from_index":527,"to_index":1103,"sum":265238,"residue":297},{"from_index":1103,"to_index":1679,"sum":244477,"residue":248},{"from_index":1679,"to_index":527,"sum":234191,"residue":318}],"minimal_cycle":[297,248,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[527,1103],"circle_positions":863,"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":[528,1104,1680],"clock_positions":[528,1104,1680],"native_values":[458,336,69],"rotation_degrees":110.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,336,69],"beta":{"interval_sums":[265128,244212,234566],"interval_residues":[187,846,693],"display_cycle":[187,846,693],"intervals":[{"from_index":528,"to_index":1104,"sum":265128,"residue":187},{"from_index":1104,"to_index":1680,"sum":244212,"residue":846},{"from_index":1680,"to_index":528,"sum":234566,"residue":693}],"minimal_cycle":[187,846,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[528,1104],"circle_positions":863,"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":[529,1105,1681],"clock_positions":[529,1105,1681],"native_values":[39,684,140],"rotation_degrees":110.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,684,140],"beta":{"interval_sums":[265425,243597,234884],"interval_residues":[484,231,148],"display_cycle":[484,231,148],"intervals":[{"from_index":529,"to_index":1105,"sum":265425,"residue":484},{"from_index":1105,"to_index":1681,"sum":243597,"residue":231},{"from_index":1681,"to_index":529,"sum":234884,"residue":148}],"minimal_cycle":[484,231,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[529,1105],"circle_positions":863,"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":[530,1106,1682],"clock_positions":[530,1106,1682],"native_values":[497,157,209],"rotation_degrees":110.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,157,209],"beta":{"interval_sums":[265612,243580,234714],"interval_residues":[671,214,841],"display_cycle":[671,214,841],"intervals":[{"from_index":530,"to_index":1106,"sum":265612,"residue":671},{"from_index":1106,"to_index":1682,"sum":243580,"residue":214},{"from_index":1682,"to_index":530,"sum":234714,"residue":841}],"minimal_cycle":[671,214,841],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[530,1106],"circle_positions":863,"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":[531,1107,1683],"clock_positions":[531,1107,1683],"native_values":[536,841,349],"rotation_degrees":110.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,841,349],"beta":{"interval_sums":[265233,242948,234862],"interval_residues":[292,445,126],"display_cycle":[292,445,126],"intervals":[{"from_index":531,"to_index":1107,"sum":265233,"residue":292},{"from_index":1107,"to_index":1683,"sum":242948,"residue":445},{"from_index":1683,"to_index":531,"sum":234862,"residue":126}],"minimal_cycle":[292,445,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[531,1107],"circle_positions":863,"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":[532,1108,1684],"clock_positions":[532,1108,1684],"native_values":[170,135,558],"rotation_degrees":110.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,135,558],"beta":{"interval_sums":[265904,243162,234840],"interval_residues":[100,659,104],"display_cycle":[100,659,104],"intervals":[{"from_index":532,"to_index":1108,"sum":265904,"residue":100},{"from_index":1108,"to_index":1684,"sum":243162,"residue":659},{"from_index":1684,"to_index":532,"sum":234840,"residue":104}],"minimal_cycle":[100,659,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[532,1108],"circle_positions":863,"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":[533,1109,1685],"clock_positions":[533,1109,1685],"native_values":[706,113,44],"rotation_degrees":111.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,113,44],"beta":{"interval_sums":[265333,243607,234966],"interval_residues":[392,241,230],"display_cycle":[392,241,230],"intervals":[{"from_index":533,"to_index":1109,"sum":265333,"residue":392},{"from_index":1109,"to_index":1685,"sum":243607,"residue":241},{"from_index":1685,"to_index":533,"sum":234966,"residue":230}],"minimal_cycle":[392,241,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[533,1109],"circle_positions":863,"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":[534,1110,1686],"clock_positions":[534,1110,1686],"native_values":[13,248,602],"rotation_degrees":111.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,248,602],"beta":{"interval_sums":[265433,243403,235070],"interval_residues":[492,37,334],"display_cycle":[492,37,334],"intervals":[{"from_index":534,"to_index":1110,"sum":265433,"residue":492},{"from_index":1110,"to_index":1686,"sum":243403,"residue":37},{"from_index":1686,"to_index":534,"sum":235070,"residue":334}],"minimal_cycle":[492,37,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[534,1110],"circle_positions":863,"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":[535,1111,1687],"clock_positions":[535,1111,1687],"native_values":[719,361,646],"rotation_degrees":111.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,361,646],"beta":{"interval_sums":[264962,243644,234437],"interval_residues":[21,278,564],"display_cycle":[21,278,564],"intervals":[{"from_index":535,"to_index":1111,"sum":264962,"residue":21},{"from_index":1111,"to_index":1687,"sum":243644,"residue":278},{"from_index":1687,"to_index":535,"sum":234437,"residue":564}],"minimal_cycle":[21,278,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[535,1111],"circle_positions":863,"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":[536,1112,1688],"clock_positions":[536,1112,1688],"native_values":[732,609,385],"rotation_degrees":111.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[732,609,385],"beta":{"interval_sums":[264591,243681,234771],"interval_residues":[513,315,35],"display_cycle":[513,315,35],"intervals":[{"from_index":536,"to_index":1112,"sum":264591,"residue":513},{"from_index":1112,"to_index":1688,"sum":243681,"residue":315},{"from_index":1688,"to_index":536,"sum":234771,"residue":35}],"minimal_cycle":[513,315,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[536,1112],"circle_positions":863,"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":[537,1113,1689],"clock_positions":[537,1113,1689],"native_values":[588,107,168],"rotation_degrees":111.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,107,168],"beta":{"interval_sums":[264612,243959,235335],"interval_residues":[534,593,599],"display_cycle":[534,593,599],"intervals":[{"from_index":537,"to_index":1113,"sum":264612,"residue":534},{"from_index":1113,"to_index":1689,"sum":243959,"residue":593},{"from_index":1689,"to_index":537,"sum":235335,"residue":599}],"minimal_cycle":[534,593,599],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[537,1113],"circle_positions":863,"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":[538,1114,1690],"clock_positions":[538,1114,1690],"native_values":[457,716,553],"rotation_degrees":112.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,716,553],"beta":{"interval_sums":[264262,243411,235370],"interval_residues":[184,45,634],"display_cycle":[184,45,634],"intervals":[{"from_index":538,"to_index":1114,"sum":264262,"residue":184},{"from_index":1114,"to_index":1690,"sum":243411,"residue":45},{"from_index":1690,"to_index":538,"sum":235370,"residue":634}],"minimal_cycle":[184,45,634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[538,1114],"circle_positions":863,"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":[539,1115,1691],"clock_positions":[539,1115,1691],"native_values":[182,823,721],"rotation_degrees":112.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,823,721],"beta":{"interval_sums":[264796,243141,235106],"interval_residues":[718,638,370],"display_cycle":[718,638,370],"intervals":[{"from_index":539,"to_index":1115,"sum":264796,"residue":718},{"from_index":1115,"to_index":1691,"sum":243141,"residue":638},{"from_index":1691,"to_index":539,"sum":235106,"residue":370}],"minimal_cycle":[718,638,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[539,1115],"circle_positions":863,"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":[540,1116,1692],"clock_positions":[540,1116,1692],"native_values":[639,676,411],"rotation_degrees":112.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[639,676,411],"beta":{"interval_sums":[264980,243186,234877],"interval_residues":[39,683,141],"display_cycle":[39,683,141],"intervals":[{"from_index":540,"to_index":1116,"sum":264980,"residue":39},{"from_index":1116,"to_index":1692,"sum":243186,"residue":683},{"from_index":1692,"to_index":540,"sum":234877,"residue":141}],"minimal_cycle":[39,683,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[540,1116],"circle_positions":863,"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":[541,1117,1693],"clock_positions":[541,1117,1693],"native_values":[821,636,269],"rotation_degrees":112.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[821,636,269],"beta":{"interval_sums":[264835,242961,235247],"interval_residues":[757,458,511],"display_cycle":[757,458,511],"intervals":[{"from_index":541,"to_index":1117,"sum":264835,"residue":757},{"from_index":1117,"to_index":1693,"sum":242961,"residue":458},{"from_index":1693,"to_index":541,"sum":235247,"residue":511}],"minimal_cycle":[757,458,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":757,"start_interval_clock_positions":[541,1117],"circle_positions":863,"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":[542,1118,1694],"clock_positions":[542,1118,1694],"native_values":[597,449,680],"rotation_degrees":112.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,449,680],"beta":{"interval_sums":[264874,242781,235388],"interval_residues":[796,278,652],"display_cycle":[796,278,652],"intervals":[{"from_index":542,"to_index":1118,"sum":264874,"residue":796},{"from_index":1118,"to_index":1694,"sum":242781,"residue":278},{"from_index":1694,"to_index":542,"sum":235388,"residue":652}],"minimal_cycle":[796,278,652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[542,1118],"circle_positions":863,"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":[543,1119,1695],"clock_positions":[543,1119,1695],"native_values":[555,222,86],"rotation_degrees":113.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[555,222,86],"beta":{"interval_sums":[264768,243239,235899],"interval_residues":[690,736,300],"display_cycle":[690,736,300],"intervals":[{"from_index":543,"to_index":1119,"sum":264768,"residue":690},{"from_index":1119,"to_index":1695,"sum":243239,"residue":736},{"from_index":1695,"to_index":543,"sum":235899,"residue":300}],"minimal_cycle":[690,736,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[543,1119],"circle_positions":863,"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":[544,1120,1696],"clock_positions":[544,1120,1696],"native_values":[289,671,766],"rotation_degrees":113.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,671,766],"beta":{"interval_sums":[264701,242654,235688],"interval_residues":[623,151,89],"display_cycle":[623,151,89],"intervals":[{"from_index":544,"to_index":1120,"sum":264701,"residue":623},{"from_index":1120,"to_index":1696,"sum":242654,"residue":151},{"from_index":1696,"to_index":544,"sum":235688,"residue":89}],"minimal_cycle":[623,151,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[544,1120],"circle_positions":863,"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":[545,1121,1697],"clock_positions":[545,1121,1697],"native_values":[844,30,852],"rotation_degrees":113.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[844,30,852],"beta":{"interval_sums":[264528,243390,235125],"interval_residues":[450,24,389],"display_cycle":[450,24,389],"intervals":[{"from_index":545,"to_index":1121,"sum":264528,"residue":450},{"from_index":1121,"to_index":1697,"sum":243390,"residue":24},{"from_index":1697,"to_index":545,"sum":235125,"residue":389}],"minimal_cycle":[450,24,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[545,1121],"circle_positions":863,"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":[546,1122,1698],"clock_positions":[546,1122,1698],"native_values":[270,701,755],"rotation_degrees":113.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,701,755],"beta":{"interval_sums":[264288,243541,235214],"interval_residues":[210,175,478],"display_cycle":[210,175,478],"intervals":[{"from_index":546,"to_index":1122,"sum":264288,"residue":210},{"from_index":1122,"to_index":1698,"sum":243541,"residue":175},{"from_index":1698,"to_index":546,"sum":235214,"residue":478}],"minimal_cycle":[210,175,478],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[546,1122],"circle_positions":863,"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":[547,1123,1699],"clock_positions":[547,1123,1699],"native_values":[251,731,744],"rotation_degrees":113.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,731,744],"beta":{"interval_sums":[264738,243565,234740],"interval_residues":[660,199,4],"display_cycle":[660,199,4],"intervals":[{"from_index":547,"to_index":1123,"sum":264738,"residue":660},{"from_index":1123,"to_index":1699,"sum":243565,"residue":199},{"from_index":1699,"to_index":547,"sum":234740,"residue":4}],"minimal_cycle":[660,199,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[547,1123],"circle_positions":863,"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":[548,1124,1700],"clock_positions":[548,1124,1700],"native_values":[521,569,636],"rotation_degrees":114.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,569,636],"beta":{"interval_sums":[264948,243740,234355],"interval_residues":[7,374,482],"display_cycle":[7,374,482],"intervals":[{"from_index":548,"to_index":1124,"sum":264948,"residue":7},{"from_index":1124,"to_index":1700,"sum":243740,"residue":374},{"from_index":1700,"to_index":548,"sum":234355,"residue":482}],"minimal_cycle":[7,374,482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":7,"start_interval_clock_positions":[548,1124],"circle_positions":863,"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":[549,1125,1701],"clock_positions":[549,1125,1701],"native_values":[772,437,517],"rotation_degrees":114.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[772,437,517],"beta":{"interval_sums":[264745,243939,234359],"interval_residues":[667,573,486],"display_cycle":[667,573,486],"intervals":[{"from_index":549,"to_index":1125,"sum":264745,"residue":667},{"from_index":1125,"to_index":1701,"sum":243939,"residue":573},{"from_index":1701,"to_index":549,"sum":234359,"residue":486}],"minimal_cycle":[667,573,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":667,"start_interval_clock_positions":[549,1125],"circle_positions":863,"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":[550,1126,1702],"clock_positions":[550,1126,1702],"native_values":[430,143,290],"rotation_degrees":114.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[430,143,290],"beta":{"interval_sums":[264752,244313,234841],"interval_residues":[674,84,105],"display_cycle":[674,84,105],"intervals":[{"from_index":550,"to_index":1126,"sum":264752,"residue":674},{"from_index":1126,"to_index":1702,"sum":244313,"residue":84},{"from_index":1702,"to_index":550,"sum":234841,"residue":105}],"minimal_cycle":[674,84,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[550,1126],"circle_positions":863,"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":[551,1127,1703],"clock_positions":[551,1127,1703],"native_values":[339,580,807],"rotation_degrees":114.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,580,807],"beta":{"interval_sums":[264556,244023,234464],"interval_residues":[478,657,591],"display_cycle":[478,657,591],"intervals":[{"from_index":551,"to_index":1127,"sum":264556,"residue":478},{"from_index":1127,"to_index":1703,"sum":244023,"residue":657},{"from_index":1703,"to_index":551,"sum":234464,"residue":591}],"minimal_cycle":[478,657,591],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[551,1127],"circle_positions":863,"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":[552,1128,1704],"clock_positions":[552,1128,1704],"native_values":[769,723,234],"rotation_degrees":115.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,723,234],"beta":{"interval_sums":[264367,244107,234569],"interval_residues":[289,741,696],"display_cycle":[289,741,696],"intervals":[{"from_index":552,"to_index":1128,"sum":264367,"residue":289},{"from_index":1128,"to_index":1704,"sum":244107,"residue":741},{"from_index":1704,"to_index":552,"sum":234569,"residue":696}],"minimal_cycle":[289,741,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[552,1128],"circle_positions":863,"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":[553,1129,1705],"clock_positions":[553,1129,1705],"native_values":[245,440,178],"rotation_degrees":115.20833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,440,178],"beta":{"interval_sums":[264845,243901,235160],"interval_residues":[767,535,424],"display_cycle":[767,535,424],"intervals":[{"from_index":553,"to_index":1129,"sum":264845,"residue":767},{"from_index":1129,"to_index":1705,"sum":243901,"residue":535},{"from_index":1705,"to_index":553,"sum":235160,"residue":424}],"minimal_cycle":[767,535,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":767,"start_interval_clock_positions":[553,1129],"circle_positions":863,"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":[554,1130,1706],"clock_positions":[554,1130,1706],"native_values":[151,300,412],"rotation_degrees":115.41666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,300,412],"beta":{"interval_sums":[265134,243779,234993],"interval_residues":[193,413,257],"display_cycle":[193,413,257],"intervals":[{"from_index":554,"to_index":1130,"sum":265134,"residue":193},{"from_index":1130,"to_index":1706,"sum":243779,"residue":413},{"from_index":1706,"to_index":554,"sum":234993,"residue":257}],"minimal_cycle":[193,413,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[554,1130],"circle_positions":863,"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":[555,1131,1707],"clock_positions":[555,1131,1707],"native_values":[396,740,590],"rotation_degrees":115.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,740,590],"beta":{"interval_sums":[265038,243451,234554],"interval_residues":[97,85,681],"display_cycle":[97,85,681],"intervals":[{"from_index":555,"to_index":1131,"sum":265038,"residue":97},{"from_index":1131,"to_index":1707,"sum":243451,"residue":85},{"from_index":1707,"to_index":555,"sum":234554,"residue":681}],"minimal_cycle":[97,85,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":97,"start_interval_clock_positions":[555,1131],"circle_positions":863,"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":[556,1132,1708],"clock_positions":[556,1132,1708],"native_values":[547,177,139],"rotation_degrees":115.83333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,177,139],"beta":{"interval_sums":[265231,243864,234811],"interval_residues":[290,498,75],"display_cycle":[290,498,75],"intervals":[{"from_index":556,"to_index":1132,"sum":265231,"residue":290},{"from_index":1132,"to_index":1708,"sum":243864,"residue":498},{"from_index":1708,"to_index":556,"sum":234811,"residue":75}],"minimal_cycle":[290,498,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[556,1132],"circle_positions":863,"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":[557,1133,1709],"clock_positions":[557,1133,1709],"native_values":[80,54,729],"rotation_degrees":116.04166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,54,729],"beta":{"interval_sums":[265328,243949,234629],"interval_residues":[387,583,756],"display_cycle":[387,583,756],"intervals":[{"from_index":557,"to_index":1133,"sum":265328,"residue":387},{"from_index":1133,"to_index":1709,"sum":243949,"residue":583},{"from_index":1709,"to_index":557,"sum":234629,"residue":756}],"minimal_cycle":[387,583,756],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[557,1133],"circle_positions":863,"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":[558,1134,1710],"clock_positions":[558,1134,1710],"native_values":[627,231,5],"rotation_degrees":116.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,231,5],"beta":{"interval_sums":[264755,244447,234704],"interval_residues":[677,218,831],"display_cycle":[677,218,831],"intervals":[{"from_index":558,"to_index":1134,"sum":264755,"residue":677},{"from_index":1134,"to_index":1710,"sum":244447,"residue":218},{"from_index":1710,"to_index":558,"sum":234704,"residue":831}],"minimal_cycle":[677,218,831],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[558,1134],"circle_positions":863,"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":[559,1135,1711],"clock_positions":[559,1135,1711],"native_values":[707,285,734],"rotation_degrees":116.45833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,285,734],"beta":{"interval_sums":[264279,244167,234597],"interval_residues":[201,801,724],"display_cycle":[201,801,724],"intervals":[{"from_index":559,"to_index":1135,"sum":264279,"residue":201},{"from_index":1135,"to_index":1711,"sum":244167,"residue":801},{"from_index":1711,"to_index":559,"sum":234597,"residue":724}],"minimal_cycle":[201,801,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[559,1135],"circle_positions":863,"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":[560,1136,1712],"clock_positions":[560,1136,1712],"native_values":[471,516,739],"rotation_degrees":116.66666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,516,739],"beta":{"interval_sums":[264093,244385,234565],"interval_residues":[15,156,692],"display_cycle":[15,156,692],"intervals":[{"from_index":560,"to_index":1136,"sum":264093,"residue":15},{"from_index":1136,"to_index":1712,"sum":244385,"residue":156},{"from_index":1712,"to_index":560,"sum":234565,"residue":692}],"minimal_cycle":[15,156,692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[560,1136],"circle_positions":863,"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":[561,1137,1713],"clock_positions":[561,1137,1713],"native_values":[315,801,610],"rotation_degrees":116.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,801,610],"beta":{"interval_sums":[264294,244323,234426],"interval_residues":[216,94,553],"display_cycle":[216,94,553],"intervals":[{"from_index":561,"to_index":1137,"sum":264294,"residue":216},{"from_index":1137,"to_index":1713,"sum":244323,"residue":94},{"from_index":1713,"to_index":561,"sum":234426,"residue":553}],"minimal_cycle":[216,94,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[561,1137],"circle_positions":863,"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":[562,1138,1714],"clock_positions":[562,1138,1714],"native_values":[786,454,486],"rotation_degrees":117.08333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[786,454,486],"beta":{"interval_sums":[264309,244479,234255],"interval_residues":[231,250,382],"display_cycle":[231,250,382],"intervals":[{"from_index":562,"to_index":1138,"sum":264309,"residue":231},{"from_index":1138,"to_index":1714,"sum":244479,"residue":250},{"from_index":1714,"to_index":562,"sum":234255,"residue":382}],"minimal_cycle":[231,250,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":231,"start_interval_clock_positions":[562,1138],"circle_positions":863,"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":[563,1139,1715],"clock_positions":[563,1139,1715],"native_values":[238,392,233],"rotation_degrees":117.29166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,392,233],"beta":{"interval_sums":[264525,244573,234808],"interval_residues":[447,344,72],"display_cycle":[447,344,72],"intervals":[{"from_index":563,"to_index":1139,"sum":264525,"residue":447},{"from_index":1139,"to_index":1715,"sum":244573,"residue":344},{"from_index":1715,"to_index":563,"sum":234808,"residue":72}],"minimal_cycle":[447,344,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":447,"start_interval_clock_positions":[563,1139],"circle_positions":863,"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":[564,1140,1716],"clock_positions":[564,1140,1716],"native_values":[161,846,719],"rotation_degrees":117.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,846,719],"beta":{"interval_sums":[264756,243960,234327],"interval_residues":[678,594,454],"display_cycle":[678,594,454],"intervals":[{"from_index":564,"to_index":1140,"sum":264756,"residue":678},{"from_index":1140,"to_index":1716,"sum":243960,"residue":594},{"from_index":1716,"to_index":564,"sum":234327,"residue":454}],"minimal_cycle":[678,594,454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[564,1140],"circle_positions":863,"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":[565,1141,1717],"clock_positions":[565,1141,1717],"native_values":[399,375,89],"rotation_degrees":117.70833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,375,89],"beta":{"interval_sums":[265203,244304,234399],"interval_residues":[262,75,526],"display_cycle":[262,75,526],"intervals":[{"from_index":565,"to_index":1141,"sum":265203,"residue":262},{"from_index":1141,"to_index":1717,"sum":244304,"residue":75},{"from_index":1717,"to_index":565,"sum":234399,"residue":526}],"minimal_cycle":[262,75,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[565,1141],"circle_positions":863,"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":[566,1142,1718],"clock_positions":[566,1142,1718],"native_values":[560,358,808],"rotation_degrees":117.91666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,358,808],"beta":{"interval_sums":[265018,244035,233990],"interval_residues":[77,669,117],"display_cycle":[77,669,117],"intervals":[{"from_index":566,"to_index":1142,"sum":265018,"residue":77},{"from_index":1142,"to_index":1718,"sum":244035,"residue":669},{"from_index":1718,"to_index":566,"sum":233990,"residue":117}],"minimal_cycle":[77,669,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[566,1142],"circle_positions":863,"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":[567,1143,1719],"clock_positions":[567,1143,1719],"native_values":[96,733,34],"rotation_degrees":118.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,733,34],"beta":{"interval_sums":[265280,244110,234516],"interval_residues":[339,744,643],"display_cycle":[339,744,643],"intervals":[{"from_index":567,"to_index":1143,"sum":265280,"residue":339},{"from_index":1143,"to_index":1719,"sum":244110,"residue":744},{"from_index":1719,"to_index":567,"sum":234516,"residue":643}],"minimal_cycle":[339,744,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":339,"start_interval_clock_positions":[567,1143],"circle_positions":863,"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":[568,1144,1720],"clock_positions":[568,1144,1720],"native_values":[656,228,842],"rotation_degrees":118.33333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[656,228,842],"beta":{"interval_sums":[265357,243916,233770],"interval_residues":[416,550,760],"display_cycle":[416,550,760],"intervals":[{"from_index":568,"to_index":1144,"sum":265357,"residue":416},{"from_index":1144,"to_index":1720,"sum":243916,"residue":550},{"from_index":1720,"to_index":568,"sum":233770,"residue":760}],"minimal_cycle":[416,550,760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[568,1144],"circle_positions":863,"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":[569,1145,1721],"clock_positions":[569,1145,1721],"native_values":[752,98,13],"rotation_degrees":118.54166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[752,98,13],"beta":{"interval_sums":[264833,244660,234413],"interval_residues":[755,431,540],"display_cycle":[755,431,540],"intervals":[{"from_index":569,"to_index":1145,"sum":264833,"residue":755},{"from_index":1145,"to_index":1721,"sum":244660,"residue":431},{"from_index":1721,"to_index":569,"sum":234413,"residue":540}],"minimal_cycle":[755,431,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":755,"start_interval_clock_positions":[569,1145],"circle_positions":863,"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":[570,1146,1722],"clock_positions":[570,1146,1722],"native_values":[545,326,855],"rotation_degrees":118.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,326,855],"beta":{"interval_sums":[264386,244347,234310],"interval_residues":[308,118,437],"display_cycle":[308,118,437],"intervals":[{"from_index":570,"to_index":1146,"sum":264386,"residue":308},{"from_index":1146,"to_index":1722,"sum":244347,"residue":118},{"from_index":1722,"to_index":570,"sum":234310,"residue":437}],"minimal_cycle":[308,118,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[570,1146],"circle_positions":863,"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":[571,1147,1723],"clock_positions":[571,1147,1723],"native_values":[434,424,5],"rotation_degrees":118.95833333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,424,5],"beta":{"interval_sums":[264278,244778,234850],"interval_residues":[200,549,114],"display_cycle":[200,549,114],"intervals":[{"from_index":571,"to_index":1147,"sum":264278,"residue":200},{"from_index":1147,"to_index":1723,"sum":244778,"residue":549},{"from_index":1723,"to_index":571,"sum":234850,"residue":114}],"minimal_cycle":[200,549,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[571,1147],"circle_positions":863,"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":[572,1148,1724],"clock_positions":[572,1148,1724],"native_values":[116,750,860],"rotation_degrees":119.16666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[116,750,860],"beta":{"interval_sums":[264586,244033,234424],"interval_residues":[508,667,551],"display_cycle":[508,667,551],"intervals":[{"from_index":572,"to_index":1148,"sum":264586,"residue":508},{"from_index":1148,"to_index":1724,"sum":244033,"residue":667},{"from_index":1724,"to_index":572,"sum":234424,"residue":551}],"minimal_cycle":[508,667,551],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[572,1148],"circle_positions":863,"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":[573,1149,1725],"clock_positions":[573,1149,1725],"native_values":[550,311,2],"rotation_degrees":119.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,311,2],"beta":{"interval_sums":[264786,244582,234538],"interval_residues":[708,353,665],"display_cycle":[708,353,665],"intervals":[{"from_index":573,"to_index":1149,"sum":264786,"residue":708},{"from_index":1149,"to_index":1725,"sum":244582,"residue":353},{"from_index":1725,"to_index":573,"sum":234538,"residue":665}],"minimal_cycle":[708,353,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[573,1149],"circle_positions":863,"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":[574,1150,1726],"clock_positions":[574,1150,1726],"native_values":[666,198,862],"rotation_degrees":119.58333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,198,862],"beta":{"interval_sums":[264431,244386,234226],"interval_residues":[353,157,353],"display_cycle":[353,157,353],"intervals":[{"from_index":574,"to_index":1150,"sum":264431,"residue":353},{"from_index":1150,"to_index":1726,"sum":244386,"residue":157},{"from_index":1726,"to_index":574,"sum":234226,"residue":353}],"minimal_cycle":[353,157,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[574,1150],"circle_positions":863,"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":[575,1151,1727],"clock_positions":[575,1151,1727],"native_values":[353,509,1],"rotation_degrees":119.79166666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,509,1],"beta":{"interval_sums":[264276,244739,234891],"interval_residues":[198,510,155],"display_cycle":[198,510,155],"intervals":[{"from_index":575,"to_index":1151,"sum":264276,"residue":198},{"from_index":1151,"to_index":1727,"sum":244739,"residue":510},{"from_index":1727,"to_index":575,"sum":234891,"residue":155}],"minimal_cycle":[198,510,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[575,1151],"circle_positions":863,"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":[0,288,576,864,1152,1440],"clock_positions":[1728,288,576,864,1152,1440],"native_values":[863,156,156,863,707,707],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[863,156,156,863,707,707],"beta":{"interval_sums":[111836,123252,128784,135845,124429,118897],"interval_residues":[509,706,197,354,157,666],"display_cycle":[509,706,197,354,157,666],"intervals":[{"from_index":0,"to_index":288,"sum":111836,"residue":509},{"from_index":288,"to_index":576,"sum":123252,"residue":706},{"from_index":576,"to_index":864,"sum":128784,"residue":197},{"from_index":864,"to_index":1152,"sum":135845,"residue":354},{"from_index":1152,"to_index":1440,"sum":124429,"residue":157},{"from_index":1440,"to_index":0,"sum":118897,"residue":666}],"minimal_cycle":[509,706,197,354,157,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[1728,288],"circle_positions":863,"cycle_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":[1,289,577,865,1153,1441],"clock_positions":[1,289,577,865,1153,1441],"native_values":[1,510,509,862,353,354],"rotation_degrees":0.20833333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,510,509,862,353,354],"beta":{"interval_sums":[111991,122898,128275,135690,124783,118543],"interval_residues":[664,352,551,199,511,312],"display_cycle":[664,352,551,199,511,312],"intervals":[{"from_index":1,"to_index":289,"sum":111991,"residue":664},{"from_index":289,"to_index":577,"sum":122898,"residue":352},{"from_index":577,"to_index":865,"sum":128275,"residue":551},{"from_index":865,"to_index":1153,"sum":135690,"residue":199},{"from_index":1153,"to_index":1441,"sum":124783,"residue":511},{"from_index":1441,"to_index":1,"sum":118543,"residue":312}],"minimal_cycle":[664,352,551,199,511,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[1,289],"circle_positions":863,"cycle_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":[2,290,578,866,1154,1442],"clock_positions":[2,290,578,866,1154,1442],"native_values":[1,666,665,862,197,198],"rotation_degrees":0.4166666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,666,665,862,197,198],"beta":{"interval_sums":[112500,122741,128472,135181,124940,118346],"interval_residues":[310,195,748,553,668,115],"display_cycle":[310,195,748,553,668,115],"intervals":[{"from_index":2,"to_index":290,"sum":112500,"residue":310},{"from_index":290,"to_index":578,"sum":122741,"residue":195},{"from_index":578,"to_index":866,"sum":128472,"residue":748},{"from_index":866,"to_index":1154,"sum":135181,"residue":553},{"from_index":1154,"to_index":1442,"sum":124940,"residue":668},{"from_index":1442,"to_index":2,"sum":118346,"residue":115}],"minimal_cycle":[310,195,748,553,668,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[2,290],"circle_positions":863,"cycle_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":[3,291,579,867,1155,1443],"clock_positions":[3,291,579,867,1155,1443],"native_values":[2,313,311,861,550,552],"rotation_degrees":0.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,313,311,861,550,552],"beta":{"interval_sums":[113164,123093,129023,134517,124588,117795],"interval_residues":[111,547,436,752,316,427],"display_cycle":[111,547,436,752,316,427],"intervals":[{"from_index":3,"to_index":291,"sum":113164,"residue":111},{"from_index":291,"to_index":579,"sum":123093,"residue":547},{"from_index":579,"to_index":867,"sum":129023,"residue":436},{"from_index":867,"to_index":1155,"sum":134517,"residue":752},{"from_index":1155,"to_index":1443,"sum":124588,"residue":316},{"from_index":1443,"to_index":3,"sum":117795,"residue":427}],"minimal_cycle":[111,547,436,752,316,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[3,291],"circle_positions":863,"cycle_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":[4,292,580,868,1156,1444],"clock_positions":[4,292,580,868,1156,1444],"native_values":[3,116,113,860,747,750],"rotation_degrees":0.8333333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,116,113,860,747,750],"beta":{"interval_sums":[113474,123288,129771,134207,124393,117047],"interval_residues":[421,742,321,442,121,542],"display_cycle":[421,742,321,442,121,542],"intervals":[{"from_index":4,"to_index":292,"sum":113474,"residue":421},{"from_index":292,"to_index":580,"sum":123288,"residue":742},{"from_index":580,"to_index":868,"sum":129771,"residue":321},{"from_index":868,"to_index":1156,"sum":134207,"residue":442},{"from_index":1156,"to_index":1444,"sum":124393,"residue":121},{"from_index":1444,"to_index":4,"sum":117047,"residue":542}],"minimal_cycle":[421,742,321,442,121,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[4,292],"circle_positions":863,"cycle_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":[5,293,581,869,1157,1445],"clock_positions":[5,293,581,869,1157,1445],"native_values":[5,429,424,858,434,439],"rotation_degrees":1.0416666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,429,424,858,434,439],"beta":{"interval_sums":[113585,122972,130207,134096,124709,116611],"interval_residues":[532,426,757,331,437,106],"display_cycle":[532,426,757,331,437,106],"intervals":[{"from_index":5,"to_index":293,"sum":113585,"residue":532},{"from_index":293,"to_index":581,"sum":122972,"residue":426},{"from_index":581,"to_index":869,"sum":130207,"residue":757},{"from_index":869,"to_index":1157,"sum":134096,"residue":331},{"from_index":1157,"to_index":1445,"sum":124709,"residue":437},{"from_index":1445,"to_index":5,"sum":116611,"residue":106}],"minimal_cycle":[532,426,757,331,437,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[5,293],"circle_positions":863,"cycle_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":[6,294,582,870,1158,1446],"clock_positions":[6,294,582,870,1158,1446],"native_values":[8,545,537,855,318,326],"rotation_degrees":1.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,545,537,855,318,326],"beta":{"interval_sums":[114006,122851,130528,133675,124830,116290],"interval_residues":[90,305,215,773,558,648],"display_cycle":[90,305,215,773,558,648],"intervals":[{"from_index":6,"to_index":294,"sum":114006,"residue":90},{"from_index":294,"to_index":582,"sum":122851,"residue":305},{"from_index":582,"to_index":870,"sum":130528,"residue":215},{"from_index":870,"to_index":1158,"sum":133675,"residue":773},{"from_index":1158,"to_index":1446,"sum":124830,"residue":558},{"from_index":1446,"to_index":6,"sum":116290,"residue":648}],"minimal_cycle":[90,305,215,773,558,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[6,294],"circle_positions":863,"cycle_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":[7,295,583,871,1159,1447],"clock_positions":[7,295,583,871,1159,1447],"native_values":[13,111,98,850,752,765],"rotation_degrees":1.4583333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,111,98,850,752,765],"beta":{"interval_sums":[114538,123277,131285,133143,124404,115533],"interval_residues":[622,731,109,241,132,754],"display_cycle":[622,731,109,241,132,754],"intervals":[{"from_index":7,"to_index":295,"sum":114538,"residue":622},{"from_index":295,"to_index":583,"sum":123277,"residue":731},{"from_index":583,"to_index":871,"sum":131285,"residue":109},{"from_index":871,"to_index":1159,"sum":133143,"residue":241},{"from_index":1159,"to_index":1447,"sum":124404,"residue":132},{"from_index":1447,"to_index":7,"sum":115533,"residue":754}],"minimal_cycle":[622,731,109,241,132,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[7,295],"circle_positions":863,"cycle_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":[8,296,584,872,1160,1448],"clock_positions":[8,296,584,872,1160,1448],"native_values":[21,656,635,842,207,228],"rotation_degrees":1.6666666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,656,635,842,207,228],"beta":{"interval_sums":[114628,122719,131500,133053,124962,115318],"interval_residues":[712,173,324,151,690,539],"display_cycle":[712,173,324,151,690,539],"intervals":[{"from_index":8,"to_index":296,"sum":114628,"residue":712},{"from_index":296,"to_index":584,"sum":122719,"residue":173},{"from_index":584,"to_index":872,"sum":131500,"residue":324},{"from_index":872,"to_index":1160,"sum":133053,"residue":151},{"from_index":1160,"to_index":1448,"sum":124962,"residue":690},{"from_index":1448,"to_index":8,"sum":115318,"residue":539}],"minimal_cycle":[712,173,324,151,690,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[8,296],"circle_positions":863,"cycle_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":[9,297,585,873,1161,1449],"clock_positions":[9,297,585,873,1161,1449],"native_values":[34,767,733,829,96,130],"rotation_degrees":1.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,767,733,829,96,130],"beta":{"interval_sums":[115250,122587,131609,132431,125094,115209],"interval_residues":[471,41,433,392,822,430],"display_cycle":[471,41,433,392,822,430],"intervals":[{"from_index":9,"to_index":297,"sum":115250,"residue":471},{"from_index":297,"to_index":585,"sum":122587,"residue":41},{"from_index":585,"to_index":873,"sum":131609,"residue":433},{"from_index":873,"to_index":1161,"sum":132431,"residue":392},{"from_index":1161,"to_index":1449,"sum":125094,"residue":822},{"from_index":1449,"to_index":9,"sum":115209,"residue":430}],"minimal_cycle":[471,41,433,392,822,430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[9,297],"circle_positions":863,"cycle_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":[10,298,586,874,1162,1450],"clock_positions":[10,298,586,874,1162,1450],"native_values":[55,560,505,808,303,358],"rotation_degrees":2.0833333333333335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,560,505,808,303,358],"beta":{"interval_sums":[115962,122760,131933,131719,124921,114885],"interval_residues":[320,214,757,543,649,106],"display_cycle":[320,214,757,543,649,106],"intervals":[{"from_index":10,"to_index":298,"sum":115962,"residue":320},{"from_index":298,"to_index":586,"sum":122760,"residue":214},{"from_index":586,"to_index":874,"sum":131933,"residue":757},{"from_index":874,"to_index":1162,"sum":131719,"residue":543},{"from_index":1162,"to_index":1450,"sum":124921,"residue":649},{"from_index":1450,"to_index":10,"sum":114885,"residue":106}],"minimal_cycle":[320,214,757,543,649,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[10,298],"circle_positions":863,"cycle_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":[11,299,587,875,1163,1451],"clock_positions":[11,299,587,875,1163,1451],"native_values":[89,464,375,774,399,488],"rotation_degrees":2.2916666666666665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,464,375,774,399,488],"beta":{"interval_sums":[116433,122801,132366,131248,124880,114452],"interval_residues":[791,255,327,72,608,536],"display_cycle":[791,255,327,72,608,536],"intervals":[{"from_index":11,"to_index":299,"sum":116433,"residue":791},{"from_index":299,"to_index":587,"sum":122801,"residue":255},{"from_index":587,"to_index":875,"sum":132366,"residue":327},{"from_index":875,"to_index":1163,"sum":131248,"residue":72},{"from_index":1163,"to_index":1451,"sum":124880,"residue":608},{"from_index":1451,"to_index":11,"sum":114452,"residue":536}],"minimal_cycle":[791,255,327,72,608,536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":791,"start_interval_clock_positions":[11,299],"circle_positions":863,"cycle_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":[12,300,588,876,1164,1452],"clock_positions":[12,300,588,876,1164,1452],"native_values":[144,161,17,719,702,846],"rotation_degrees":2.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,161,17,719,702,846],"beta":{"interval_sums":[116753,123015,133123,130928,124666,113695],"interval_residues":[248,469,221,615,394,642],"display_cycle":[248,469,221,615,394,642],"intervals":[{"from_index":12,"to_index":300,"sum":116753,"residue":248},{"from_index":300,"to_index":588,"sum":123015,"residue":469},{"from_index":588,"to_index":876,"sum":133123,"residue":221},{"from_index":876,"to_index":1164,"sum":130928,"residue":615},{"from_index":1164,"to_index":1452,"sum":124666,"residue":394},{"from_index":1452,"to_index":12,"sum":113695,"residue":642}],"minimal_cycle":[248,469,221,615,394,642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[12,300],"circle_positions":863,"cycle_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":[13,301,589,877,1165,1453],"clock_positions":[13,301,589,877,1165,1453],"native_values":[233,625,392,630,238,471],"rotation_degrees":2.7083333333333335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,625,392,630,238,471],"beta":{"interval_sums":[116681,122407,133450,131000,125274,113368],"interval_residues":[176,724,548,687,139,315],"display_cycle":[176,724,548,687,139,315],"intervals":[{"from_index":13,"to_index":301,"sum":116681,"residue":176},{"from_index":301,"to_index":589,"sum":122407,"residue":724},{"from_index":589,"to_index":877,"sum":133450,"residue":548},{"from_index":877,"to_index":1165,"sum":131000,"residue":687},{"from_index":1165,"to_index":1453,"sum":125274,"residue":139},{"from_index":1453,"to_index":13,"sum":113368,"residue":315}],"minimal_cycle":[176,724,548,687,139,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[13,301],"circle_positions":863,"cycle_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":[14,302,590,878,1166,1454],"clock_positions":[14,302,590,878,1166,1454],"native_values":[377,786,409,486,77,454],"rotation_degrees":2.9166666666666665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,786,409,486,77,454],"beta":{"interval_sums":[116929,122013,133671,130752,125668,113147],"interval_residues":[424,330,769,439,533,94],"display_cycle":[424,330,769,439,533,94],"intervals":[{"from_index":14,"to_index":302,"sum":116929,"residue":424},{"from_index":302,"to_index":590,"sum":122013,"residue":330},{"from_index":590,"to_index":878,"sum":133671,"residue":769},{"from_index":878,"to_index":1166,"sum":130752,"residue":439},{"from_index":1166,"to_index":1454,"sum":125668,"residue":533},{"from_index":1454,"to_index":14,"sum":113147,"residue":94}],"minimal_cycle":[424,330,769,439,533,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[14,302],"circle_positions":863,"cycle_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":[15,303,591,879,1167,1455],"clock_positions":[15,303,591,879,1167,1455],"native_values":[610,548,801,253,315,62],"rotation_degrees":3.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,548,801,253,315,62],"beta":{"interval_sums":[117105,121874,133356,130576,125807,113462],"interval_residues":[600,191,454,263,672,409],"display_cycle":[600,191,454,263,672,409],"intervals":[{"from_index":15,"to_index":303,"sum":117105,"residue":600},{"from_index":303,"to_index":591,"sum":121874,"residue":191},{"from_index":591,"to_index":879,"sum":133356,"residue":454},{"from_index":879,"to_index":1167,"sum":130576,"residue":263},{"from_index":1167,"to_index":1455,"sum":125807,"residue":672},{"from_index":1455,"to_index":15,"sum":113462,"residue":409}],"minimal_cycle":[600,191,454,263,672,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[15,303],"circle_positions":863,"cycle_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":[16,304,592,880,1168,1456],"clock_positions":[16,304,592,880,1168,1456],"native_values":[124,471,347,739,392,516],"rotation_degrees":3.3333333333333335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,471,347,739,392,516],"beta":{"interval_sums":[117529,122204,133262,130152,125477,113556],"interval_residues":[161,521,360,702,342,503],"display_cycle":[161,521,360,702,342,503],"intervals":[{"from_index":16,"to_index":304,"sum":117529,"residue":161},{"from_index":304,"to_index":592,"sum":122204,"residue":521},{"from_index":592,"to_index":880,"sum":133262,"residue":360},{"from_index":880,"to_index":1168,"sum":130152,"residue":702},{"from_index":1168,"to_index":1456,"sum":125477,"residue":342},{"from_index":1456,"to_index":16,"sum":113556,"residue":503}],"minimal_cycle":[161,521,360,702,342,503],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":161,"start_interval_clock_positions":[16,304],"circle_positions":863,"cycle_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":[17,305,593,881,1169,1457],"clock_positions":[17,305,593,881,1169,1457],"native_values":[734,156,285,129,707,578],"rotation_degrees":3.5416666666666665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,156,285,129,707,578],"beta":{"interval_sums":[117266,122395,133716,130415,125286,113102],"interval_residues":[761,712,814,102,151,49],"display_cycle":[761,712,814,102,151,49],"intervals":[{"from_index":17,"to_index":305,"sum":117266,"residue":761},{"from_index":305,"to_index":593,"sum":122395,"residue":712},{"from_index":593,"to_index":881,"sum":133716,"residue":814},{"from_index":881,"to_index":1169,"sum":130415,"residue":102},{"from_index":1169,"to_index":1457,"sum":125286,"residue":151},{"from_index":1457,"to_index":17,"sum":113102,"residue":49}],"minimal_cycle":[761,712,814,102,151,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":761,"start_interval_clock_positions":[17,305],"circle_positions":863,"cycle_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":[18,306,594,882,1170,1458],"clock_positions":[18,306,594,882,1170,1458],"native_values":[858,627,632,5,236,231],"rotation_degrees":3.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[858,627,632,5,236,231],"beta":{"interval_sums":[116564,122053,133213,131117,125628,113605],"interval_residues":[59,370,311,804,493,552],"display_cycle":[59,370,311,804,493,552],"intervals":[{"from_index":18,"to_index":306,"sum":116564,"residue":59},{"from_index":306,"to_index":594,"sum":122053,"residue":370},{"from_index":594,"to_index":882,"sum":133213,"residue":311},{"from_index":882,"to_index":1170,"sum":131117,"residue":804},{"from_index":1170,"to_index":1458,"sum":125628,"residue":493},{"from_index":1458,"to_index":18,"sum":113605,"residue":552}],"minimal_cycle":[59,370,311,804,493,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":59,"start_interval_clock_positions":[18,306],"circle_positions":863,"cycle_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":[19,307,595,883,1171,1459],"clock_positions":[19,307,595,883,1171,1459],"native_values":[729,783,54,134,80,809],"rotation_degrees":3.9583333333333335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,783,54,134,80,809],"beta":{"interval_sums":[116462,121902,133164,131219,125779,113654],"interval_residues":[820,219,262,43,644,601],"display_cycle":[820,219,262,43,644,601],"intervals":[{"from_index":19,"to_index":307,"sum":116462,"residue":820},{"from_index":307,"to_index":595,"sum":121902,"residue":219},{"from_index":595,"to_index":883,"sum":133164,"residue":262},{"from_index":883,"to_index":1171,"sum":131219,"residue":43},{"from_index":1171,"to_index":1459,"sum":125779,"residue":644},{"from_index":1459,"to_index":19,"sum":113654,"residue":601}],"minimal_cycle":[820,219,262,43,644,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[19,307],"circle_positions":863,"cycle_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":[20,308,596,884,1172,1460],"clock_positions":[20,308,596,884,1172,1460],"native_values":[724,547,686,139,316,177],"rotation_degrees":4.166666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[724,547,686,139,316,177],"beta":{"interval_sums":[116521,121409,132612,131160,126272,114206],"interval_residues":[16,589,573,847,274,290],"display_cycle":[16,589,573,847,274,290],"intervals":[{"from_index":20,"to_index":308,"sum":116521,"residue":16},{"from_index":308,"to_index":596,"sum":121409,"residue":589},{"from_index":596,"to_index":884,"sum":132612,"residue":573},{"from_index":884,"to_index":1172,"sum":131160,"residue":847},{"from_index":1172,"to_index":1460,"sum":126272,"residue":274},{"from_index":1460,"to_index":20,"sum":114206,"residue":290}],"minimal_cycle":[16,589,573,847,274,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[20,308],"circle_positions":863,"cycle_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":[21,309,597,885,1173,1461],"clock_positions":[21,309,597,885,1173,1461],"native_values":[590,467,740,273,396,123],"rotation_degrees":4.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,467,740,273,396,123],"beta":{"interval_sums":[116478,121628,132011,131203,126053,114807],"interval_residues":[836,808,835,27,55,28],"display_cycle":[836,808,835,27,55,28],"intervals":[{"from_index":21,"to_index":309,"sum":116478,"residue":836},{"from_index":309,"to_index":597,"sum":121628,"residue":808},{"from_index":597,"to_index":885,"sum":132011,"residue":835},{"from_index":885,"to_index":1173,"sum":131203,"residue":27},{"from_index":1173,"to_index":1461,"sum":126053,"residue":55},{"from_index":1461,"to_index":21,"sum":114807,"residue":28}],"minimal_cycle":[836,808,835,27,55,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":836,"start_interval_clock_positions":[21,309],"circle_positions":863,"cycle_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":[22,310,598,886,1174,1462],"clock_positions":[22,310,598,886,1174,1462],"native_values":[451,151,563,412,712,300],"rotation_degrees":4.583333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,151,563,412,712,300],"beta":{"interval_sums":[116494,122217,131721,131187,125464,115097],"interval_residues":[852,534,545,11,329,318],"display_cycle":[852,534,545,11,329,318],"intervals":[{"from_index":22,"to_index":310,"sum":116494,"residue":852},{"from_index":310,"to_index":598,"sum":122217,"residue":534},{"from_index":598,"to_index":886,"sum":131721,"residue":545},{"from_index":886,"to_index":1174,"sum":131187,"residue":11},{"from_index":1174,"to_index":1462,"sum":125464,"residue":329},{"from_index":1462,"to_index":22,"sum":115097,"residue":318}],"minimal_cycle":[852,534,545,11,329,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":852,"start_interval_clock_positions":[22,310],"circle_positions":863,"cycle_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":[23,311,599,887,1175,1463],"clock_positions":[23,311,599,887,1175,1463],"native_values":[178,618,440,685,245,423],"rotation_degrees":4.791666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,618,440,685,245,423],"beta":{"interval_sums":[116467,122162,131693,131214,125519,115125],"interval_residues":[825,479,517,38,384,346],"display_cycle":[825,479,517,38,384,346],"intervals":[{"from_index":23,"to_index":311,"sum":116467,"residue":825},{"from_index":311,"to_index":599,"sum":122162,"residue":479},{"from_index":599,"to_index":887,"sum":131693,"residue":517},{"from_index":887,"to_index":1175,"sum":131214,"residue":38},{"from_index":1175,"to_index":1463,"sum":125519,"residue":384},{"from_index":1463,"to_index":23,"sum":115125,"residue":346}],"minimal_cycle":[825,479,517,38,384,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":825,"start_interval_clock_positions":[23,311],"circle_positions":863,"cycle_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":[24,312,600,888,1176,1464],"clock_positions":[24,312,600,888,1176,1464],"native_values":[629,769,140,234,94,723],"rotation_degrees":5.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,769,140,234,94,723],"beta":{"interval_sums":[116456,121833,132238,131225,125848,114580],"interval_residues":[814,150,199,49,713,664],"display_cycle":[814,150,199,49,713,664],"intervals":[{"from_index":24,"to_index":312,"sum":116456,"residue":814},{"from_index":312,"to_index":600,"sum":121833,"residue":150},{"from_index":600,"to_index":888,"sum":132238,"residue":199},{"from_index":888,"to_index":1176,"sum":131225,"residue":49},{"from_index":1176,"to_index":1464,"sum":125848,"residue":713},{"from_index":1464,"to_index":24,"sum":114580,"residue":664}],"minimal_cycle":[814,150,199,49,713,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[24,312],"circle_positions":863,"cycle_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":[25,313,601,889,1177,1465],"clock_positions":[25,313,601,889,1177,1465],"native_values":[807,524,580,56,339,283],"rotation_degrees":5.208333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[807,524,580,56,339,283],"beta":{"interval_sums":[116418,121449,131892,131263,126232,114926],"interval_residues":[776,629,716,87,234,147],"display_cycle":[776,629,716,87,234,147],"intervals":[{"from_index":25,"to_index":313,"sum":116418,"residue":776},{"from_index":313,"to_index":601,"sum":121449,"residue":629},{"from_index":601,"to_index":889,"sum":131892,"residue":716},{"from_index":889,"to_index":1177,"sum":131263,"residue":87},{"from_index":1177,"to_index":1465,"sum":126232,"residue":234},{"from_index":1465,"to_index":25,"sum":114926,"residue":147}],"minimal_cycle":[776,629,716,87,234,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[25,313],"circle_positions":863,"cycle_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":[26,314,602,890,1178,1466],"clock_positions":[26,314,602,890,1178,1466],"native_values":[573,430,720,290,433,143],"rotation_degrees":5.416666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,430,720,290,433,143],"beta":{"interval_sums":[116369,121599,131228,131312,126082,115590],"interval_residues":[727,779,52,136,84,811],"display_cycle":[727,779,52,136,84,811],"intervals":[{"from_index":26,"to_index":314,"sum":116369,"residue":727},{"from_index":314,"to_index":602,"sum":121599,"residue":779},{"from_index":602,"to_index":890,"sum":131228,"residue":52},{"from_index":890,"to_index":1178,"sum":131312,"residue":136},{"from_index":1178,"to_index":1466,"sum":126082,"residue":84},{"from_index":1466,"to_index":26,"sum":115590,"residue":811}],"minimal_cycle":[727,779,52,136,84,811],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":727,"start_interval_clock_positions":[26,314],"circle_positions":863,"cycle_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":[27,315,603,891,1179,1467],"clock_positions":[27,315,603,891,1179,1467],"native_values":[517,91,437,346,772,426],"rotation_degrees":5.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[517,91,437,346,772,426],"beta":{"interval_sums":[116282,122228,131081,131399,125453,115737],"interval_residues":[640,545,768,223,318,95],"display_cycle":[640,545,768,223,318,95],"intervals":[{"from_index":27,"to_index":315,"sum":116282,"residue":640},{"from_index":315,"to_index":603,"sum":122228,"residue":545},{"from_index":603,"to_index":891,"sum":131081,"residue":768},{"from_index":891,"to_index":1179,"sum":131399,"residue":223},{"from_index":1179,"to_index":1467,"sum":125453,"residue":318},{"from_index":1467,"to_index":27,"sum":115737,"residue":95}],"minimal_cycle":[640,545,768,223,318,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[27,315],"circle_positions":863,"cycle_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":[28,316,604,892,1180,1468],"clock_positions":[28,316,604,892,1180,1468],"native_values":[227,521,294,636,342,569],"rotation_degrees":5.833333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,521,294,636,342,569],"beta":{"interval_sums":[116146,122144,131133,131535,125537,115685],"interval_residues":[504,461,820,359,402,43],"display_cycle":[504,461,820,359,402,43],"intervals":[{"from_index":28,"to_index":316,"sum":116146,"residue":504},{"from_index":316,"to_index":604,"sum":122144,"residue":461},{"from_index":604,"to_index":892,"sum":131133,"residue":820},{"from_index":892,"to_index":1180,"sum":131535,"residue":359},{"from_index":1180,"to_index":1468,"sum":125537,"residue":402},{"from_index":1468,"to_index":28,"sum":115685,"residue":43}],"minimal_cycle":[504,461,820,359,402,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[28,316],"circle_positions":863,"cycle_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":[29,317,605,893,1181,1469],"clock_positions":[29,317,605,893,1181,1469],"native_values":[744,612,731,119,251,132],"rotation_degrees":6.041666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,612,731,119,251,132],"beta":{"interval_sums":[115923,121826,131038,131758,125855,115780],"interval_residues":[281,143,725,582,720,138],"display_cycle":[281,143,725,582,720,138],"intervals":[{"from_index":29,"to_index":317,"sum":115923,"residue":281},{"from_index":317,"to_index":605,"sum":121826,"residue":143},{"from_index":605,"to_index":893,"sum":131038,"residue":725},{"from_index":893,"to_index":1181,"sum":131758,"residue":582},{"from_index":1181,"to_index":1469,"sum":125855,"residue":720},{"from_index":1469,"to_index":29,"sum":115780,"residue":138}],"minimal_cycle":[281,143,725,582,720,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":281,"start_interval_clock_positions":[29,317],"circle_positions":863,"cycle_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":[30,318,606,894,1182,1470],"clock_positions":[30,318,606,894,1182,1470],"native_values":[108,270,162,755,593,701],"rotation_degrees":6.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,270,162,755,593,701],"beta":{"interval_sums":[116427,122287,130995,131254,125394,115823],"interval_residues":[785,604,682,78,259,181],"display_cycle":[785,604,682,78,259,181],"intervals":[{"from_index":30,"to_index":318,"sum":116427,"residue":785},{"from_index":318,"to_index":606,"sum":122287,"residue":604},{"from_index":606,"to_index":894,"sum":130995,"residue":682},{"from_index":894,"to_index":1182,"sum":131254,"residue":78},{"from_index":1182,"to_index":1470,"sum":125394,"residue":259},{"from_index":1470,"to_index":30,"sum":115823,"residue":181}],"minimal_cycle":[785,604,682,78,259,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":785,"start_interval_clock_positions":[30,318],"circle_positions":863,"cycle_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":[31,319,607,895,1183,1471],"clock_positions":[31,319,607,895,1183,1471],"native_values":[852,19,30,11,844,833],"rotation_degrees":6.458333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[852,19,30,11,844,833],"beta":{"interval_sums":[115845,122430,131720,131836,125251,115098],"interval_residues":[203,747,544,660,116,319],"display_cycle":[203,747,544,660,116,319],"intervals":[{"from_index":31,"to_index":319,"sum":115845,"residue":203},{"from_index":319,"to_index":607,"sum":122430,"residue":747},{"from_index":607,"to_index":895,"sum":131720,"residue":544},{"from_index":895,"to_index":1183,"sum":131836,"residue":660},{"from_index":1183,"to_index":1471,"sum":125251,"residue":116},{"from_index":1471,"to_index":31,"sum":115098,"residue":319}],"minimal_cycle":[203,747,544,660,116,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[31,319],"circle_positions":863,"cycle_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":[32,320,608,896,1184,1472],"clock_positions":[32,320,608,896,1184,1472],"native_values":[97,289,192,766,574,671],"rotation_degrees":6.666666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,289,192,766,574,671],"beta":{"interval_sums":[115767,122171,131539,131914,125510,115279],"interval_residues":[125,488,363,738,375,500],"display_cycle":[125,488,363,738,375,500],"intervals":[{"from_index":32,"to_index":320,"sum":115767,"residue":125},{"from_index":320,"to_index":608,"sum":122171,"residue":488},{"from_index":608,"to_index":896,"sum":131539,"residue":363},{"from_index":896,"to_index":1184,"sum":131914,"residue":738},{"from_index":1184,"to_index":1472,"sum":125510,"residue":375},{"from_index":1472,"to_index":32,"sum":115279,"residue":500}],"minimal_cycle":[125,488,363,738,375,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[32,320],"circle_positions":863,"cycle_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":[33,321,609,897,1185,1473],"clock_positions":[33,321,609,897,1185,1473],"native_values":[86,308,222,777,555,641],"rotation_degrees":6.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[86,308,222,777,555,641],"beta":{"interval_sums":[115970,122055,132083,131711,125626,114735],"interval_residues":[328,372,44,535,491,819],"display_cycle":[328,372,44,535,491,819],"intervals":[{"from_index":33,"to_index":321,"sum":115970,"residue":328},{"from_index":321,"to_index":609,"sum":122055,"residue":372},{"from_index":609,"to_index":897,"sum":132083,"residue":44},{"from_index":897,"to_index":1185,"sum":131711,"residue":535},{"from_index":1185,"to_index":1473,"sum":125626,"residue":491},{"from_index":1473,"to_index":33,"sum":114735,"residue":819}],"minimal_cycle":[328,372,44,535,491,819],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[33,321],"circle_positions":863,"cycle_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":[34,322,610,898,1186,1474],"clock_positions":[34,322,610,898,1186,1474],"native_values":[183,597,414,680,266,449],"rotation_degrees":7.083333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,597,414,680,266,449],"beta":{"interval_sums":[116095,121680,132446,131586,126001,114372],"interval_residues":[453,860,407,410,3,456],"display_cycle":[453,860,407,410,3,456],"intervals":[{"from_index":34,"to_index":322,"sum":116095,"residue":453},{"from_index":322,"to_index":610,"sum":121680,"residue":860},{"from_index":610,"to_index":898,"sum":132446,"residue":407},{"from_index":898,"to_index":1186,"sum":131586,"residue":410},{"from_index":1186,"to_index":1474,"sum":126001,"residue":3},{"from_index":1474,"to_index":34,"sum":114372,"residue":456}],"minimal_cycle":[453,860,407,410,3,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":453,"start_interval_clock_positions":[34,322],"circle_positions":863,"cycle_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":[35,323,611,899,1187,1475],"clock_positions":[35,323,611,899,1187,1475],"native_values":[269,42,636,594,821,227],"rotation_degrees":7.291666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,42,636,594,821,227],"beta":{"interval_sums":[116423,122052,132490,131258,125629,114328],"interval_residues":[781,369,451,82,494,412],"display_cycle":[781,369,451,82,494,412],"intervals":[{"from_index":35,"to_index":323,"sum":116423,"residue":781},{"from_index":323,"to_index":611,"sum":122052,"residue":369},{"from_index":611,"to_index":899,"sum":132490,"residue":451},{"from_index":899,"to_index":1187,"sum":131258,"residue":82},{"from_index":1187,"to_index":1475,"sum":125629,"residue":494},{"from_index":1475,"to_index":35,"sum":114328,"residue":412}],"minimal_cycle":[781,369,451,82,494,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":781,"start_interval_clock_positions":[35,323],"circle_positions":863,"cycle_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":[36,324,612,900,1188,1476],"clock_positions":[36,324,612,900,1188,1476],"native_values":[452,639,187,411,224,676],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,639,187,411,224,676],"beta":{"interval_sums":[116013,122049,132897,131668,125632,113921],"interval_residues":[371,366,858,492,497,5],"display_cycle":[371,366,858,492,497,5],"intervals":[{"from_index":36,"to_index":324,"sum":116013,"residue":371},{"from_index":324,"to_index":612,"sum":122049,"residue":366},{"from_index":612,"to_index":900,"sum":132897,"residue":858},{"from_index":900,"to_index":1188,"sum":131668,"residue":492},{"from_index":1188,"to_index":1476,"sum":125632,"residue":497},{"from_index":1476,"to_index":36,"sum":113921,"residue":5}],"minimal_cycle":[371,366,858,492,497,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[36,324],"circle_positions":863,"cycle_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":[37,325,613,901,1189,1477],"clock_positions":[37,325,613,901,1189,1477],"native_values":[721,681,823,142,182,40],"rotation_degrees":7.708333333333333,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,681,823,142,182,40],"beta":{"interval_sums":[115931,121555,132485,131750,126126,114333],"interval_residues":[289,735,446,574,128,417],"display_cycle":[289,735,446,574,128,417],"intervals":[{"from_index":37,"to_index":325,"sum":115931,"residue":289},{"from_index":325,"to_index":613,"sum":121555,"residue":735},{"from_index":613,"to_index":901,"sum":132485,"residue":446},{"from_index":901,"to_index":1189,"sum":131750,"residue":574},{"from_index":1189,"to_index":1477,"sum":126126,"residue":128},{"from_index":1477,"to_index":37,"sum":114333,"residue":417}],"minimal_cycle":[289,735,446,574,128,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[37,325],"circle_positions":863,"cycle_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":[38,326,614,902,1190,1478],"clock_positions":[38,326,614,902,1190,1478],"native_values":[310,457,147,553,406,716],"rotation_degrees":7.916666666666667,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,457,147,553,406,716],"beta":{"interval_sums":[116302,121921,132480,131379,125760,114338],"interval_residues":[660,238,441,203,625,422],"display_cycle":[660,238,441,203,625,422],"intervals":[{"from_index":38,"to_index":326,"sum":116302,"residue":660},{"from_index":326,"to_index":614,"sum":121921,"residue":238},{"from_index":614,"to_index":902,"sum":132480,"residue":441},{"from_index":902,"to_index":1190,"sum":131379,"residue":203},{"from_index":1190,"to_index":1478,"sum":125760,"residue":625},{"from_index":1478,"to_index":38,"sum":114338,"residue":422}],"minimal_cycle":[660,238,441,203,625,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[38,326],"circle_positions":863,"cycle_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":[39,327,615,903,1191,1479],"clock_positions":[39,327,615,903,1191,1479],"native_values":[168,275,107,695,588,756],"rotation_degrees":8.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,275,107,695,588,756],"beta":{"interval_sums":[116591,121793,132926,131090,125888,113892],"interval_residues":[86,110,24,777,753,839],"display_cycle":[86,110,24,777,753,839],"intervals":[{"from_index":39,"to_index":327,"sum":116591,"residue":86},{"from_index":327,"to_index":615,"sum":121793,"residue":110},{"from_index":615,"to_index":903,"sum":132926,"residue":24},{"from_index":903,"to_index":1191,"sum":131090,"residue":777},{"from_index":1191,"to_index":1479,"sum":125888,"residue":753},{"from_index":1479,"to_index":39,"sum":113892,"residue":839}],"minimal_cycle":[86,110,24,777,753,839],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[39,327],"circle_positions":863,"cycle_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":[40,328,616,904,1192,1480],"clock_positions":[40,328,616,904,1192,1480],"native_values":[478,732,254,385,131,609],"rotation_degrees":8.333333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[478,732,254,385,131,609],"beta":{"interval_sums":[116388,121168,133367,131293,126513,113451],"interval_residues":[746,348,465,117,515,398],"display_cycle":[746,348,465,117,515,398],"intervals":[{"from_index":40,"to_index":328,"sum":116388,"residue":746},{"from_index":328,"to_index":616,"sum":121168,"residue":348},{"from_index":616,"to_index":904,"sum":133367,"residue":465},{"from_index":904,"to_index":1192,"sum":131293,"residue":117},{"from_index":1192,"to_index":1480,"sum":126513,"residue":515},{"from_index":1480,"to_index":40,"sum":113451,"residue":398}],"minimal_cycle":[746,348,465,117,515,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[40,328],"circle_positions":863,"cycle_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":[41,329,617,905,1193,1481],"clock_positions":[41,329,617,905,1193,1481],"native_values":[646,144,361,217,719,502],"rotation_degrees":8.541666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,144,361,217,719,502],"beta":{"interval_sums":[116474,121278,133391,131207,126403,113427],"interval_residues":[832,458,489,31,405,374],"display_cycle":[832,458,489,31,405,374],"intervals":[{"from_index":41,"to_index":329,"sum":116474,"residue":832},{"from_index":329,"to_index":617,"sum":121278,"residue":458},{"from_index":617,"to_index":905,"sum":133391,"residue":489},{"from_index":905,"to_index":1193,"sum":131207,"residue":31},{"from_index":1193,"to_index":1481,"sum":126403,"residue":405},{"from_index":1481,"to_index":41,"sum":113427,"residue":374}],"minimal_cycle":[832,458,489,31,405,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":832,"start_interval_clock_positions":[41,329],"circle_positions":863,"cycle_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":[42,330,618,906,1194,1482],"clock_positions":[42,330,618,906,1194,1482],"native_values":[261,13,615,602,850,248],"rotation_degrees":8.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,13,615,602,850,248],"beta":{"interval_sums":[116357,121626,132993,131324,126055,113825],"interval_residues":[715,806,91,148,57,772],"display_cycle":[715,806,91,148,57,772],"intervals":[{"from_index":42,"to_index":330,"sum":116357,"residue":715},{"from_index":330,"to_index":618,"sum":121626,"residue":806},{"from_index":618,"to_index":906,"sum":132993,"residue":91},{"from_index":906,"to_index":1194,"sum":131324,"residue":148},{"from_index":1194,"to_index":1482,"sum":126055,"residue":57},{"from_index":1482,"to_index":42,"sum":113825,"residue":772}],"minimal_cycle":[715,806,91,148,57,772],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":715,"start_interval_clock_positions":[42,330],"circle_positions":863,"cycle_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":[43,331,619,907,1195,1483],"clock_positions":[43,331,619,907,1195,1483],"native_values":[44,157,113,819,706,750],"rotation_degrees":8.958333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,157,113,819,706,750],"beta":{"interval_sums":[116326,122084,133482,131355,125597,113336],"interval_residues":[684,401,580,179,462,283],"display_cycle":[684,401,580,179,462,283],"intervals":[{"from_index":43,"to_index":331,"sum":116326,"residue":684},{"from_index":331,"to_index":619,"sum":122084,"residue":401},{"from_index":619,"to_index":907,"sum":133482,"residue":580},{"from_index":907,"to_index":1195,"sum":131355,"residue":179},{"from_index":1195,"to_index":1483,"sum":125597,"residue":462},{"from_index":1483,"to_index":43,"sum":113336,"residue":283}],"minimal_cycle":[684,401,580,179,462,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[43,331],"circle_positions":863,"cycle_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":[44,332,620,908,1196,1484],"clock_positions":[44,332,620,908,1196,1484],"native_values":[305,170,728,558,693,135],"rotation_degrees":9.166666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,170,728,558,693,135],"beta":{"interval_sums":[116178,122027,133573,131503,125654,113245],"interval_residues":[536,344,671,327,519,192],"display_cycle":[536,344,671,327,519,192],"intervals":[{"from_index":44,"to_index":332,"sum":116178,"residue":536},{"from_index":332,"to_index":620,"sum":122027,"residue":344},{"from_index":620,"to_index":908,"sum":133573,"residue":671},{"from_index":908,"to_index":1196,"sum":131503,"residue":327},{"from_index":1196,"to_index":1484,"sum":125654,"residue":519},{"from_index":1484,"to_index":44,"sum":113245,"residue":192}],"minimal_cycle":[536,344,671,327,519,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[44,332],"circle_positions":863,"cycle_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":[45,333,621,909,1197,1485],"clock_positions":[45,333,621,909,1197,1485],"native_values":[349,327,841,514,536,22],"rotation_degrees":9.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,327,841,514,536,22],"beta":{"interval_sums":[115999,122428,133290,131682,125253,113528],"interval_residues":[357,745,388,506,118,475],"display_cycle":[357,745,388,506,118,475],"intervals":[{"from_index":45,"to_index":333,"sum":115999,"residue":357},{"from_index":333,"to_index":621,"sum":122428,"residue":745},{"from_index":621,"to_index":909,"sum":133290,"residue":388},{"from_index":909,"to_index":1197,"sum":131682,"residue":506},{"from_index":1197,"to_index":1485,"sum":125253,"residue":118},{"from_index":1485,"to_index":45,"sum":113528,"residue":475}],"minimal_cycle":[357,745,388,506,118,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[45,333],"circle_positions":863,"cycle_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":[46,334,622,910,1198,1486],"clock_positions":[46,334,622,910,1198,1486],"native_values":[654,497,706,209,366,157],"rotation_degrees":9.583333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[654,497,706,209,366,157],"beta":{"interval_sums":[115672,122772,133098,132009,124909,113720],"interval_residues":[30,226,196,833,637,667],"display_cycle":[30,226,196,833,637,667],"intervals":[{"from_index":46,"to_index":334,"sum":115672,"residue":30},{"from_index":334,"to_index":622,"sum":122772,"residue":226},{"from_index":622,"to_index":910,"sum":133098,"residue":196},{"from_index":910,"to_index":1198,"sum":132009,"residue":833},{"from_index":1198,"to_index":1486,"sum":124909,"residue":637},{"from_index":1486,"to_index":46,"sum":113720,"residue":667}],"minimal_cycle":[30,226,196,833,637,667],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[46,334],"circle_positions":863,"cycle_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":[47,335,623,911,1199,1487],"clock_positions":[47,335,623,911,1199,1487],"native_values":[140,824,684,723,39,179],"rotation_degrees":9.791666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,824,684,723,39,179],"beta":{"interval_sums":[116029,122654,132623,131652,125027,114195],"interval_residues":[387,108,584,476,755,279],"display_cycle":[387,108,584,476,755,279],"intervals":[{"from_index":47,"to_index":335,"sum":116029,"residue":387},{"from_index":335,"to_index":623,"sum":122654,"residue":108},{"from_index":623,"to_index":911,"sum":132623,"residue":584},{"from_index":911,"to_index":1199,"sum":131652,"residue":476},{"from_index":1199,"to_index":1487,"sum":125027,"residue":755},{"from_index":1487,"to_index":47,"sum":114195,"residue":279}],"minimal_cycle":[387,108,584,476,755,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[47,335],"circle_positions":863,"cycle_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":[48,336,624,912,1200,1488],"clock_positions":[48,336,624,912,1200,1488],"native_values":[794,458,527,69,405,336],"rotation_degrees":10.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[794,458,527,69,405,336],"beta":{"interval_sums":[116059,122880,132819,131622,124801,113999],"interval_residues":[417,334,780,446,529,83],"display_cycle":[417,334,780,446,529,83],"intervals":[{"from_index":48,"to_index":336,"sum":116059,"residue":417},{"from_index":336,"to_index":624,"sum":122880,"residue":334},{"from_index":624,"to_index":912,"sum":132819,"residue":780},{"from_index":912,"to_index":1200,"sum":131622,"residue":446},{"from_index":1200,"to_index":1488,"sum":124801,"residue":529},{"from_index":1488,"to_index":48,"sum":113999,"residue":83}],"minimal_cycle":[417,334,780,446,529,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[48,336],"circle_positions":863,"cycle_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":[49,337,625,913,1201,1489],"clock_positions":[49,337,625,913,1201,1489],"native_values":[71,419,348,792,444,515],"rotation_degrees":10.208333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,419,348,792,444,515],"beta":{"interval_sums":[116446,122988,132540,131235,124693,114278],"interval_residues":[804,442,501,59,421,362],"display_cycle":[804,442,501,59,421,362],"intervals":[{"from_index":49,"to_index":337,"sum":116446,"residue":804},{"from_index":337,"to_index":625,"sum":122988,"residue":442},{"from_index":625,"to_index":913,"sum":132540,"residue":501},{"from_index":913,"to_index":1201,"sum":131235,"residue":59},{"from_index":1201,"to_index":1489,"sum":124693,"residue":421},{"from_index":1489,"to_index":49,"sum":114278,"residue":362}],"minimal_cycle":[804,442,501,59,421,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[49,337],"circle_positions":863,"cycle_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":[50,338,626,914,1202,1490],"clock_positions":[50,338,626,914,1202,1490],"native_values":[2,14,12,861,849,851],"rotation_degrees":10.416666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,14,12,861,849,851],"beta":{"interval_sums":[116863,123322,133320,130818,124359,113498],"interval_residues":[358,776,418,505,87,445],"display_cycle":[358,776,418,505,87,445],"intervals":[{"from_index":50,"to_index":338,"sum":116863,"residue":358},{"from_index":338,"to_index":626,"sum":123322,"residue":776},{"from_index":626,"to_index":914,"sum":133320,"residue":418},{"from_index":914,"to_index":1202,"sum":130818,"residue":505},{"from_index":1202,"to_index":1490,"sum":124359,"residue":87},{"from_index":1490,"to_index":50,"sum":113498,"residue":445}],"minimal_cycle":[358,776,418,505,87,445],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[50,338],"circle_positions":863,"cycle_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":[51,339,627,915,1203,1491],"clock_positions":[51,339,627,915,1203,1491],"native_values":[73,433,360,790,430,503],"rotation_degrees":10.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,433,360,790,430,503],"beta":{"interval_sums":[116804,122901,133821,130877,124780,112997],"interval_residues":[299,355,56,564,508,807],"display_cycle":[299,355,56,564,508,807],"intervals":[{"from_index":51,"to_index":339,"sum":116804,"residue":299},{"from_index":339,"to_index":627,"sum":122901,"residue":355},{"from_index":627,"to_index":915,"sum":133821,"residue":56},{"from_index":915,"to_index":1203,"sum":130877,"residue":564},{"from_index":1203,"to_index":1491,"sum":124780,"residue":508},{"from_index":1491,"to_index":51,"sum":112997,"residue":807}],"minimal_cycle":[299,355,56,564,508,807],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[51,339],"circle_positions":863,"cycle_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":[52,340,628,916,1204,1492],"clock_positions":[52,340,628,916,1204,1492],"native_values":[75,447,372,788,416,491],"rotation_degrees":10.833333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,447,372,788,416,491],"beta":{"interval_sums":[117162,122814,134239,130519,124867,112579],"interval_residues":[657,268,474,206,595,389],"display_cycle":[657,268,474,206,595,389],"intervals":[{"from_index":52,"to_index":340,"sum":117162,"residue":657},{"from_index":340,"to_index":628,"sum":122814,"residue":268},{"from_index":628,"to_index":916,"sum":134239,"residue":474},{"from_index":916,"to_index":1204,"sum":130519,"residue":206},{"from_index":1204,"to_index":1492,"sum":124867,"residue":595},{"from_index":1492,"to_index":52,"sum":112579,"residue":389}],"minimal_cycle":[657,268,474,206,595,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[52,340],"circle_positions":863,"cycle_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":[53,341,629,917,1205,1493],"clock_positions":[53,341,629,917,1205,1493],"native_values":[148,17,732,715,846,131],"rotation_degrees":11.041666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,17,732,715,846,131],"beta":{"interval_sums":[117461,123169,134295,130220,124512,112523],"interval_residues":[93,623,530,770,240,333],"display_cycle":[93,623,530,770,240,333],"intervals":[{"from_index":53,"to_index":341,"sum":117461,"residue":93},{"from_index":341,"to_index":629,"sum":123169,"residue":623},{"from_index":629,"to_index":917,"sum":134295,"residue":530},{"from_index":917,"to_index":1205,"sum":130220,"residue":770},{"from_index":1205,"to_index":1493,"sum":124512,"residue":240},{"from_index":1493,"to_index":53,"sum":112523,"residue":333}],"minimal_cycle":[93,623,530,770,240,333],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[53,341],"circle_positions":863,"cycle_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":[54,342,630,918,1206,1494],"clock_positions":[54,342,630,918,1206,1494],"native_values":[223,464,241,640,399,622],"rotation_degrees":11.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,464,241,640,399,622],"beta":{"interval_sums":[117255,123437,134769,130426,124244,112049],"interval_residues":[750,28,141,113,835,722],"display_cycle":[750,28,141,113,835,722],"intervals":[{"from_index":54,"to_index":342,"sum":117255,"residue":750},{"from_index":342,"to_index":630,"sum":123437,"residue":28},{"from_index":630,"to_index":918,"sum":134769,"residue":141},{"from_index":918,"to_index":1206,"sum":130426,"residue":113},{"from_index":1206,"to_index":1494,"sum":124244,"residue":835},{"from_index":1494,"to_index":54,"sum":112049,"residue":722}],"minimal_cycle":[750,28,141,113,835,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[54,342],"circle_positions":863,"cycle_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":[55,343,631,919,1207,1495],"clock_positions":[55,343,631,919,1207,1495],"native_values":[371,481,110,492,382,753],"rotation_degrees":11.458333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,481,110,492,382,753],"beta":{"interval_sums":[117348,123197,135299,130333,124484,111519],"interval_residues":[843,651,671,20,212,192],"display_cycle":[843,651,671,20,212,192],"intervals":[{"from_index":55,"to_index":343,"sum":117348,"residue":843},{"from_index":343,"to_index":631,"sum":123197,"residue":651},{"from_index":631,"to_index":919,"sum":135299,"residue":671},{"from_index":919,"to_index":1207,"sum":130333,"residue":20},{"from_index":1207,"to_index":1495,"sum":124484,"residue":212},{"from_index":1495,"to_index":55,"sum":111519,"residue":192}],"minimal_cycle":[843,651,671,20,212,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":843,"start_interval_clock_positions":[55,343],"circle_positions":863,"cycle_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":[56,344,632,920,1208,1496],"clock_positions":[56,344,632,920,1208,1496],"native_values":[594,82,351,269,781,512],"rotation_degrees":11.666666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,82,351,269,781,512],"beta":{"interval_sums":[117235,123225,135440,130446,124456,111378],"interval_residues":[730,679,812,133,184,51],"display_cycle":[730,679,812,133,184,51],"intervals":[{"from_index":56,"to_index":344,"sum":117235,"residue":730},{"from_index":344,"to_index":632,"sum":123225,"residue":679},{"from_index":632,"to_index":920,"sum":135440,"residue":812},{"from_index":920,"to_index":1208,"sum":130446,"residue":133},{"from_index":1208,"to_index":1496,"sum":124456,"residue":184},{"from_index":1496,"to_index":56,"sum":111378,"residue":51}],"minimal_cycle":[730,679,812,133,184,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[56,344],"circle_positions":863,"cycle_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":[57,345,633,921,1209,1497],"clock_positions":[57,345,633,921,1209,1497],"native_values":[102,563,461,761,300,402],"rotation_degrees":11.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,563,461,761,300,402],"beta":{"interval_sums":[117215,123013,135248,130466,124668,111570],"interval_residues":[710,467,620,153,396,243],"display_cycle":[710,467,620,153,396,243],"intervals":[{"from_index":57,"to_index":345,"sum":117215,"residue":710},{"from_index":345,"to_index":633,"sum":123013,"residue":467},{"from_index":633,"to_index":921,"sum":135248,"residue":620},{"from_index":921,"to_index":1209,"sum":130466,"residue":153},{"from_index":1209,"to_index":1497,"sum":124668,"residue":396},{"from_index":1497,"to_index":57,"sum":111570,"residue":243}],"minimal_cycle":[710,467,620,153,396,243],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[57,345],"circle_positions":863,"cycle_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":[58,346,634,922,1210,1498],"clock_positions":[58,346,634,922,1210,1498],"native_values":[696,645,812,167,218,51],"rotation_degrees":12.083333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[696,645,812,167,218,51],"beta":{"interval_sums":[117082,122829,135197,130599,124852,111621],"interval_residues":[577,283,569,286,580,294],"display_cycle":[577,283,569,286,580,294],"intervals":[{"from_index":58,"to_index":346,"sum":117082,"residue":577},{"from_index":346,"to_index":634,"sum":122829,"residue":283},{"from_index":634,"to_index":922,"sum":135197,"residue":569},{"from_index":922,"to_index":1210,"sum":130599,"residue":286},{"from_index":1210,"to_index":1498,"sum":124852,"residue":580},{"from_index":1498,"to_index":58,"sum":111621,"residue":294}],"minimal_cycle":[577,283,569,286,580,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[58,346],"circle_positions":863,"cycle_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":[59,347,635,923,1211,1499],"clock_positions":[59,347,635,923,1211,1499],"native_values":[798,345,410,65,518,453],"rotation_degrees":12.291666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[798,345,410,65,518,453],"beta":{"interval_sums":[116929,123296,134954,130752,124385,111864],"interval_residues":[424,750,326,439,113,537],"display_cycle":[424,750,326,439,113,537],"intervals":[{"from_index":59,"to_index":347,"sum":116929,"residue":424},{"from_index":347,"to_index":635,"sum":123296,"residue":750},{"from_index":635,"to_index":923,"sum":134954,"residue":326},{"from_index":923,"to_index":1211,"sum":130752,"residue":439},{"from_index":1211,"to_index":1499,"sum":124385,"residue":113},{"from_index":1499,"to_index":59,"sum":111864,"residue":537}],"minimal_cycle":[424,750,326,439,113,537],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[59,347],"circle_positions":863,"cycle_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":[60,348,636,924,1212,1500],"clock_positions":[60,348,636,924,1212,1500],"native_values":[631,127,359,232,736,504],"rotation_degrees":12.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,127,359,232,736,504],"beta":{"interval_sums":[116643,123579,134660,131038,124102,112158],"interval_residues":[138,170,32,725,693,831],"display_cycle":[138,170,32,725,693,831],"intervals":[{"from_index":60,"to_index":348,"sum":116643,"residue":138},{"from_index":348,"to_index":636,"sum":123579,"residue":170},{"from_index":636,"to_index":924,"sum":134660,"residue":32},{"from_index":924,"to_index":1212,"sum":131038,"residue":725},{"from_index":1212,"to_index":1500,"sum":124102,"residue":693},{"from_index":1500,"to_index":60,"sum":112158,"residue":831}],"minimal_cycle":[138,170,32,725,693,831],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[60,348],"circle_positions":863,"cycle_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":[61,349,637,925,1213,1501],"clock_positions":[61,349,637,925,1213,1501],"native_values":[566,472,769,297,391,94],"rotation_degrees":12.708333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,472,769,297,391,94],"beta":{"interval_sums":[116204,123466,134123,131477,124215,112695],"interval_residues":[562,57,358,301,806,505],"display_cycle":[562,57,358,301,806,505],"intervals":[{"from_index":61,"to_index":349,"sum":116204,"residue":562},{"from_index":349,"to_index":637,"sum":123466,"residue":57},{"from_index":637,"to_index":925,"sum":134123,"residue":358},{"from_index":925,"to_index":1213,"sum":131477,"residue":301},{"from_index":1213,"to_index":1501,"sum":124215,"residue":806},{"from_index":1501,"to_index":61,"sum":112695,"residue":505}],"minimal_cycle":[562,57,358,301,806,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[61,349],"circle_positions":863,"cycle_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":[62,350,638,926,1214,1502],"clock_positions":[62,350,638,926,1214,1502],"native_values":[334,599,265,529,264,598],"rotation_degrees":12.916666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,599,265,529,264,598],"beta":{"interval_sums":[116342,123636,134155,131339,124045,112663],"interval_residues":[700,227,390,163,636,473],"display_cycle":[700,227,390,163,636,473],"intervals":[{"from_index":62,"to_index":350,"sum":116342,"residue":700},{"from_index":350,"to_index":638,"sum":123636,"residue":227},{"from_index":638,"to_index":926,"sum":134155,"residue":390},{"from_index":926,"to_index":1214,"sum":131339,"residue":163},{"from_index":1214,"to_index":1502,"sum":124045,"residue":636},{"from_index":1502,"to_index":62,"sum":112663,"residue":473}],"minimal_cycle":[700,227,390,163,636,473],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[62,350],"circle_positions":863,"cycle_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":[63,351,639,927,1215,1503],"clock_positions":[63,351,639,927,1215,1503],"native_values":[37,208,171,826,655,692],"rotation_degrees":13.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,208,171,826,655,692],"beta":{"interval_sums":[116904,123693,134513,130777,123988,112305],"interval_residues":[399,284,748,464,579,115],"display_cycle":[399,284,748,464,579,115],"intervals":[{"from_index":63,"to_index":351,"sum":116904,"residue":399},{"from_index":351,"to_index":639,"sum":123693,"residue":284},{"from_index":639,"to_index":927,"sum":134513,"residue":748},{"from_index":927,"to_index":1215,"sum":130777,"residue":464},{"from_index":1215,"to_index":1503,"sum":123988,"residue":579},{"from_index":1503,"to_index":63,"sum":112305,"residue":115}],"minimal_cycle":[399,284,748,464,579,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":399,"start_interval_clock_positions":[63,351],"circle_positions":863,"cycle_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":[64,352,640,928,1216,1504],"clock_positions":[64,352,640,928,1216,1504],"native_values":[371,807,436,492,56,427],"rotation_degrees":13.333333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,807,436,492,56,427],"beta":{"interval_sums":[116741,123057,134903,130940,124624,111915],"interval_residues":[236,511,275,627,352,588],"display_cycle":[236,511,275,627,352,588],"intervals":[{"from_index":64,"to_index":352,"sum":116741,"residue":236},{"from_index":352,"to_index":640,"sum":123057,"residue":511},{"from_index":640,"to_index":928,"sum":134903,"residue":275},{"from_index":928,"to_index":1216,"sum":130940,"residue":627},{"from_index":1216,"to_index":1504,"sum":124624,"residue":352},{"from_index":1504,"to_index":64,"sum":111915,"residue":588}],"minimal_cycle":[236,511,275,627,352,588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[64,352],"circle_positions":863,"cycle_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":[65,353,641,929,1217,1505],"clock_positions":[65,353,641,929,1217,1505],"native_values":[408,152,607,455,711,256],"rotation_degrees":13.541666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,152,607,455,711,256],"beta":{"interval_sums":[117140,123341,134788,130541,124340,112030],"interval_residues":[635,795,160,228,68,703],"display_cycle":[635,795,160,228,68,703],"intervals":[{"from_index":65,"to_index":353,"sum":117140,"residue":635},{"from_index":353,"to_index":641,"sum":123341,"residue":795},{"from_index":641,"to_index":929,"sum":134788,"residue":160},{"from_index":929,"to_index":1217,"sum":130541,"residue":228},{"from_index":1217,"to_index":1505,"sum":124340,"residue":68},{"from_index":1505,"to_index":65,"sum":112030,"residue":703}],"minimal_cycle":[635,795,160,228,68,703],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":635,"start_interval_clock_positions":[65,353],"circle_positions":863,"cycle_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":[66,354,642,930,1218,1506],"clock_positions":[66,354,642,930,1218,1506],"native_values":[779,96,180,84,767,683],"rotation_degrees":13.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[779,96,180,84,767,683],"beta":{"interval_sums":[116513,123852,135063,131168,123829,111755],"interval_residues":[8,443,435,855,420,428],"display_cycle":[8,443,435,855,420,428],"intervals":[{"from_index":66,"to_index":354,"sum":116513,"residue":8},{"from_index":354,"to_index":642,"sum":123852,"residue":443},{"from_index":642,"to_index":930,"sum":135063,"residue":435},{"from_index":930,"to_index":1218,"sum":131168,"residue":855},{"from_index":1218,"to_index":1506,"sum":123829,"residue":420},{"from_index":1506,"to_index":66,"sum":111755,"residue":428}],"minimal_cycle":[8,443,435,855,420,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[66,354],"circle_positions":863,"cycle_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":[67,355,643,931,1219,1507],"clock_positions":[67,355,643,931,1219,1507],"native_values":[324,248,787,539,615,76],"rotation_degrees":13.958333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,248,787,539,615,76],"beta":{"interval_sums":[116285,123784,134360,131396,123897,112458],"interval_residues":[643,375,595,220,488,268],"display_cycle":[643,375,595,220,488,268],"intervals":[{"from_index":67,"to_index":355,"sum":116285,"residue":643},{"from_index":355,"to_index":643,"sum":123784,"residue":375},{"from_index":643,"to_index":931,"sum":134360,"residue":595},{"from_index":931,"to_index":1219,"sum":131396,"residue":220},{"from_index":1219,"to_index":1507,"sum":123897,"residue":488},{"from_index":1507,"to_index":67,"sum":112458,"residue":268}],"minimal_cycle":[643,375,595,220,488,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[67,355],"circle_positions":863,"cycle_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":[68,356,644,932,1220,1508],"clock_positions":[68,356,644,932,1220,1508],"native_values":[240,344,104,623,519,759],"rotation_degrees":14.166666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,344,104,623,519,759],"beta":{"interval_sums":[116293,124227,134795,131388,123454,112023],"interval_residues":[651,818,167,212,45,696],"display_cycle":[651,818,167,212,45,696],"intervals":[{"from_index":68,"to_index":356,"sum":116293,"residue":651},{"from_index":356,"to_index":644,"sum":124227,"residue":818},{"from_index":644,"to_index":932,"sum":134795,"residue":167},{"from_index":932,"to_index":1220,"sum":131388,"residue":212},{"from_index":1220,"to_index":1508,"sum":123454,"residue":45},{"from_index":1508,"to_index":68,"sum":112023,"residue":696}],"minimal_cycle":[651,818,167,212,45,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":651,"start_interval_clock_positions":[68,356],"circle_positions":863,"cycle_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":[69,357,645,933,1221,1509],"clock_positions":[69,357,645,933,1221,1509],"native_values":[564,592,28,299,271,835],"rotation_degrees":14.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,592,28,299,271,835],"beta":{"interval_sums":[116073,123739,135390,131608,123942,111428],"interval_residues":[431,330,762,432,533,101],"display_cycle":[431,330,762,432,533,101],"intervals":[{"from_index":69,"to_index":357,"sum":116073,"residue":431},{"from_index":357,"to_index":645,"sum":123739,"residue":330},{"from_index":645,"to_index":933,"sum":135390,"residue":762},{"from_index":933,"to_index":1221,"sum":131608,"residue":432},{"from_index":1221,"to_index":1509,"sum":123942,"residue":533},{"from_index":1509,"to_index":69,"sum":111428,"residue":101}],"minimal_cycle":[431,330,762,432,533,101],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[69,357],"circle_positions":863,"cycle_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":[70,358,646,934,1222,1510],"clock_positions":[70,358,646,934,1222,1510],"native_values":[804,73,132,59,790,731],"rotation_degrees":14.583333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[804,73,132,59,790,731],"beta":{"interval_sums":[115861,123694,135557,131820,123987,111261],"interval_residues":[219,285,66,644,578,797],"display_cycle":[219,285,66,644,578,797],"intervals":[{"from_index":70,"to_index":358,"sum":115861,"residue":219},{"from_index":358,"to_index":646,"sum":123694,"residue":285},{"from_index":646,"to_index":934,"sum":135557,"residue":66},{"from_index":934,"to_index":1222,"sum":131820,"residue":644},{"from_index":1222,"to_index":1510,"sum":123987,"residue":578},{"from_index":1510,"to_index":70,"sum":111261,"residue":797}],"minimal_cycle":[219,285,66,644,578,797],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[70,358],"circle_positions":863,"cycle_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":[71,359,647,935,1223,1511],"clock_positions":[71,359,647,935,1223,1511],"native_values":[505,665,160,358,198,703],"rotation_degrees":14.791666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,665,160,358,198,703],"beta":{"interval_sums":[115429,123161,135456,132252,124520,111362],"interval_residues":[650,615,828,213,248,35],"display_cycle":[650,615,828,213,248,35],"intervals":[{"from_index":71,"to_index":359,"sum":115429,"residue":650},{"from_index":359,"to_index":647,"sum":123161,"residue":615},{"from_index":647,"to_index":935,"sum":135456,"residue":828},{"from_index":935,"to_index":1223,"sum":132252,"residue":213},{"from_index":1223,"to_index":1511,"sum":124520,"residue":248},{"from_index":1511,"to_index":71,"sum":111362,"residue":35}],"minimal_cycle":[650,615,828,213,248,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[71,359],"circle_positions":863,"cycle_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":[72,360,648,936,1224,1512],"clock_positions":[72,360,648,936,1224,1512],"native_values":[446,738,292,417,125,571],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,738,292,417,125,571],"beta":{"interval_sums":[115648,122583,135522,132033,125098,111296],"interval_residues":[6,37,31,857,826,832],"display_cycle":[6,37,31,857,826,832],"intervals":[{"from_index":72,"to_index":360,"sum":115648,"residue":6},{"from_index":360,"to_index":648,"sum":122583,"residue":37},{"from_index":648,"to_index":936,"sum":135522,"residue":31},{"from_index":936,"to_index":1224,"sum":132033,"residue":857},{"from_index":1224,"to_index":1512,"sum":125098,"residue":826},{"from_index":1512,"to_index":72,"sum":111296,"residue":832}],"minimal_cycle":[6,37,31,857,826,832],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[72,360],"circle_positions":863,"cycle_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":[73,361,649,937,1225,1513],"clock_positions":[73,361,649,937,1225,1513],"native_values":[88,540,452,775,323,411],"rotation_degrees":15.208333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,540,452,775,323,411],"beta":{"interval_sums":[116298,122335,135487,131383,125346,111331],"interval_residues":[656,652,859,207,211,4],"display_cycle":[656,652,859,207,211,4],"intervals":[{"from_index":73,"to_index":361,"sum":116298,"residue":656},{"from_index":361,"to_index":649,"sum":122335,"residue":652},{"from_index":649,"to_index":937,"sum":135487,"residue":859},{"from_index":937,"to_index":1225,"sum":131383,"residue":207},{"from_index":1225,"to_index":1513,"sum":125346,"residue":211},{"from_index":1513,"to_index":73,"sum":111331,"residue":4}],"minimal_cycle":[656,652,859,207,211,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[73,361],"circle_positions":863,"cycle_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":[74,362,650,938,1226,1514],"clock_positions":[74,362,650,938,1226,1514],"native_values":[534,415,744,329,448,119],"rotation_degrees":15.416666666666666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[534,415,744,329,448,119],"beta":{"interval_sums":[116304,122372,135518,131377,125309,111300],"interval_residues":[662,689,27,201,174,836],"display_cycle":[662,689,27,201,174,836],"intervals":[{"from_index":74,"to_index":362,"sum":116304,"residue":662},{"from_index":362,"to_index":650,"sum":122372,"residue":689},{"from_index":650,"to_index":938,"sum":135518,"residue":27},{"from_index":938,"to_index":1226,"sum":131377,"residue":201},{"from_index":1226,"to_index":1514,"sum":125309,"residue":174},{"from_index":1514,"to_index":74,"sum":111300,"residue":836}],"minimal_cycle":[662,689,27,201,174,836],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[74,362],"circle_positions":863,"cycle_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":[75,363,651,939,1227,1515],"clock_positions":[75,363,651,939,1227,1515],"native_values":[622,92,333,241,771,530],"rotation_degrees":15.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,92,333,241,771,530],"beta":{"interval_sums":[116097,123024,135514,131584,124657,111304],"interval_residues":[455,478,23,408,385,840],"display_cycle":[455,478,23,408,385,840],"intervals":[{"from_index":75,"to_index":363,"sum":116097,"residue":455},{"from_index":363,"to_index":651,"sum":123024,"residue":478},{"from_index":651,"to_index":939,"sum":135514,"residue":23},{"from_index":939,"to_index":1227,"sum":131584,"residue":408},{"from_index":1227,"to_index":1515,"sum":124657,"residue":385},{"from_index":1515,"to_index":75,"sum":111304,"residue":840}],"minimal_cycle":[455,478,23,408,385,840],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[75,363],"circle_positions":863,"cycle_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":[76,364,652,940,1228,1516],"clock_positions":[76,364,652,940,1228,1516],"native_values":[293,507,214,570,356,649],"rotation_degrees":15.833333333333334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,507,214,570,356,649],"beta":{"interval_sums":[115896,122850,135541,131785,124831,111277],"interval_residues":[254,304,50,609,559,813],"display_cycle":[254,304,50,609,559,813],"intervals":[{"from_index":76,"to_index":364,"sum":115896,"residue":254},{"from_index":364,"to_index":652,"sum":122850,"residue":304},{"from_index":652,"to_index":940,"sum":135541,"residue":50},{"from_index":940,"to_index":1228,"sum":131785,"residue":609},{"from_index":1228,"to_index":1516,"sum":124831,"residue":559},{"from_index":1516,"to_index":76,"sum":111277,"residue":813}],"minimal_cycle":[254,304,50,609,559,813],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[76,364],"circle_positions":863,"cycle_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":[77,365,653,941,1229,1517],"clock_positions":[77,365,653,941,1229,1517],"native_values":[52,599,547,811,264,316],"rotation_degrees":16.041666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,599,547,811,264,316],"beta":{"interval_sums":[116351,122465,135564,131330,125216,111254],"interval_residues":[709,782,73,154,81,790],"display_cycle":[709,782,73,154,81,790],"intervals":[{"from_index":77,"to_index":365,"sum":116351,"residue":709},{"from_index":365,"to_index":653,"sum":122465,"residue":782},{"from_index":653,"to_index":941,"sum":135564,"residue":73},{"from_index":941,"to_index":1229,"sum":131330,"residue":154},{"from_index":1229,"to_index":1517,"sum":125216,"residue":81},{"from_index":1517,"to_index":77,"sum":111254,"residue":790}],"minimal_cycle":[709,782,73,154,81,790],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":709,"start_interval_clock_positions":[77,365],"circle_positions":863,"cycle_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":[78,366,654,942,1230,1518],"clock_positions":[78,366,654,942,1230,1518],"native_values":[345,243,761,518,620,102],"rotation_degrees":16.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,243,761,518,620,102],"beta":{"interval_sums":[116605,122769,135614,131076,124912,111204],"interval_residues":[100,223,123,763,640,740],"display_cycle":[100,223,123,763,640,740],"intervals":[{"from_index":78,"to_index":366,"sum":116605,"residue":100},{"from_index":366,"to_index":654,"sum":122769,"residue":223},{"from_index":654,"to_index":942,"sum":135614,"residue":123},{"from_index":942,"to_index":1230,"sum":131076,"residue":763},{"from_index":1230,"to_index":1518,"sum":124912,"residue":640},{"from_index":1518,"to_index":78,"sum":111204,"residue":740}],"minimal_cycle":[100,223,123,763,640,740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[78,366],"circle_positions":863,"cycle_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":[79,367,655,943,1231,1519],"clock_positions":[79,367,655,943,1231,1519],"native_values":[397,842,445,466,21,418],"rotation_degrees":16.458333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,842,445,466,21,418],"beta":{"interval_sums":[116451,122688,135687,131230,124993,111131],"interval_residues":[809,142,196,54,721,667],"display_cycle":[809,142,196,54,721,667],"intervals":[{"from_index":79,"to_index":367,"sum":116451,"residue":809},{"from_index":367,"to_index":655,"sum":122688,"residue":142},{"from_index":655,"to_index":943,"sum":135687,"residue":196},{"from_index":943,"to_index":1231,"sum":131230,"residue":54},{"from_index":1231,"to_index":1519,"sum":124993,"residue":721},{"from_index":1519,"to_index":79,"sum":111131,"residue":667}],"minimal_cycle":[809,142,196,54,721,667],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":809,"start_interval_clock_positions":[79,367],"circle_positions":863,"cycle_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":[80,368,656,944,1232,1520],"clock_positions":[80,368,656,944,1232,1520],"native_values":[742,222,343,121,641,520],"rotation_degrees":16.666666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[742,222,343,121,641,520],"beta":{"interval_sums":[116551,122911,135810,131130,124770,111008],"interval_residues":[46,365,319,817,498,544],"display_cycle":[46,365,319,817,498,544],"intervals":[{"from_index":80,"to_index":368,"sum":116551,"residue":46},{"from_index":368,"to_index":656,"sum":122911,"residue":365},{"from_index":656,"to_index":944,"sum":135810,"residue":319},{"from_index":944,"to_index":1232,"sum":131130,"residue":817},{"from_index":1232,"to_index":1520,"sum":124770,"residue":498},{"from_index":1520,"to_index":80,"sum":111008,"residue":544}],"minimal_cycle":[46,365,319,817,498,544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[80,368],"circle_positions":863,"cycle_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":[81,369,657,945,1233,1521],"clock_positions":[81,369,657,945,1233,1521],"native_values":[276,201,788,587,662,75],"rotation_degrees":16.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,201,788,587,662,75],"beta":{"interval_sums":[116497,123053,135143,131184,124628,111675],"interval_residues":[855,507,515,8,356,348],"display_cycle":[855,507,515,8,356,348],"intervals":[{"from_index":81,"to_index":369,"sum":116497,"residue":855},{"from_index":369,"to_index":657,"sum":123053,"residue":507},{"from_index":657,"to_index":945,"sum":135143,"residue":515},{"from_index":945,"to_index":1233,"sum":131184,"residue":8},{"from_index":1233,"to_index":1521,"sum":124628,"residue":356},{"from_index":1521,"to_index":81,"sum":111675,"residue":348}],"minimal_cycle":[855,507,515,8,356,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":855,"start_interval_clock_positions":[81,369],"circle_positions":863,"cycle_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":[82,370,658,946,1234,1522],"clock_positions":[82,370,658,946,1234,1522],"native_values":[155,423,268,708,440,595],"rotation_degrees":17.083333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,423,268,708,440,595],"beta":{"interval_sums":[116543,123418,135462,131138,124263,111356],"interval_residues":[38,9,834,825,854,29],"display_cycle":[38,9,834,825,854,29],"intervals":[{"from_index":82,"to_index":370,"sum":116543,"residue":38},{"from_index":370,"to_index":658,"sum":123418,"residue":9},{"from_index":658,"to_index":946,"sum":135462,"residue":834},{"from_index":946,"to_index":1234,"sum":131138,"residue":825},{"from_index":1234,"to_index":1522,"sum":124263,"residue":854},{"from_index":1522,"to_index":82,"sum":111356,"residue":29}],"minimal_cycle":[38,9,834,825,854,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[82,370],"circle_positions":863,"cycle_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":[83,371,659,947,1235,1523],"clock_positions":[83,371,659,947,1235,1523],"native_values":[431,624,193,432,239,670],"rotation_degrees":17.291666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,624,193,432,239,670],"beta":{"interval_sums":[116535,123062,135977,131146,124619,110841],"interval_residues":[30,516,486,833,347,377],"display_cycle":[30,516,486,833,347,377],"intervals":[{"from_index":83,"to_index":371,"sum":116535,"residue":30},{"from_index":371,"to_index":659,"sum":123062,"residue":516},{"from_index":659,"to_index":947,"sum":135977,"residue":486},{"from_index":947,"to_index":1235,"sum":131146,"residue":833},{"from_index":1235,"to_index":1523,"sum":124619,"residue":347},{"from_index":1523,"to_index":83,"sum":110841,"residue":377}],"minimal_cycle":[30,516,486,833,347,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[83,371],"circle_positions":863,"cycle_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":[84,372,660,948,1236,1524],"clock_positions":[84,372,660,948,1236,1524],"native_values":[586,184,461,277,679,402],"rotation_degrees":17.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,184,461,277,679,402],"beta":{"interval_sums":[116573,123071,135948,131108,124610,110870],"interval_residues":[68,525,457,795,338,406],"display_cycle":[68,525,457,795,338,406],"intervals":[{"from_index":84,"to_index":372,"sum":116573,"residue":68},{"from_index":372,"to_index":660,"sum":123071,"residue":525},{"from_index":660,"to_index":948,"sum":135948,"residue":457},{"from_index":948,"to_index":1236,"sum":131108,"residue":795},{"from_index":1236,"to_index":1524,"sum":124610,"residue":338},{"from_index":1524,"to_index":84,"sum":110870,"residue":406}],"minimal_cycle":[68,525,457,795,338,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[84,372],"circle_positions":863,"cycle_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":[85,373,661,949,1237,1525],"clock_positions":[85,373,661,949,1237,1525],"native_values":[154,808,654,709,55,209],"rotation_degrees":17.708333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[154,808,654,709,55,209],"beta":{"interval_sums":[116603,122724,135571,131078,124957,111247],"interval_residues":[98,178,80,765,685,783],"display_cycle":[98,178,80,765,685,783],"intervals":[{"from_index":85,"to_index":373,"sum":116603,"residue":98},{"from_index":373,"to_index":661,"sum":122724,"residue":178},{"from_index":661,"to_index":949,"sum":135571,"residue":80},{"from_index":949,"to_index":1237,"sum":131078,"residue":765},{"from_index":1237,"to_index":1525,"sum":124957,"residue":685},{"from_index":1525,"to_index":85,"sum":111247,"residue":783}],"minimal_cycle":[98,178,80,765,685,783],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[85,373],"circle_positions":863,"cycle_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":[86,374,662,950,1238,1526],"clock_positions":[86,374,662,950,1238,1526],"native_values":[740,129,252,123,734,611],"rotation_degrees":17.916666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[740,129,252,123,734,611],"beta":{"interval_sums":[116671,123249,136028,131010,124432,110790],"interval_residues":[166,703,537,697,160,326],"display_cycle":[166,703,537,697,160,326],"intervals":[{"from_index":86,"to_index":374,"sum":116671,"residue":166},{"from_index":374,"to_index":662,"sum":123249,"residue":703},{"from_index":662,"to_index":950,"sum":136028,"residue":537},{"from_index":950,"to_index":1238,"sum":131010,"residue":697},{"from_index":1238,"to_index":1526,"sum":124432,"residue":160},{"from_index":1526,"to_index":86,"sum":110790,"residue":326}],"minimal_cycle":[166,703,537,697,160,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[86,374],"circle_positions":863,"cycle_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":[87,375,663,951,1239,1527],"clock_positions":[87,375,663,951,1239,1527],"native_values":[31,74,43,832,789,820],"rotation_degrees":18.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,74,43,832,789,820],"beta":{"interval_sums":[116769,123427,136108,130912,124254,110710],"interval_residues":[264,18,617,599,845,246],"display_cycle":[264,18,617,599,845,246],"intervals":[{"from_index":87,"to_index":375,"sum":116769,"residue":264},{"from_index":375,"to_index":663,"sum":123427,"residue":18},{"from_index":663,"to_index":951,"sum":136108,"residue":617},{"from_index":951,"to_index":1239,"sum":130912,"residue":599},{"from_index":1239,"to_index":1527,"sum":124254,"residue":845},{"from_index":1527,"to_index":87,"sum":110710,"residue":246}],"minimal_cycle":[264,18,617,599,845,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[87,375],"circle_positions":863,"cycle_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":[88,376,664,952,1240,1528],"clock_positions":[88,376,664,952,1240,1528],"native_values":[771,203,295,92,660,568],"rotation_degrees":18.333333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,203,295,92,660,568],"beta":{"interval_sums":[116072,123267,136645,131609,124414,110173],"interval_residues":[430,721,291,433,142,572],"display_cycle":[430,721,291,433,142,572],"intervals":[{"from_index":88,"to_index":376,"sum":116072,"residue":430},{"from_index":376,"to_index":664,"sum":123267,"residue":721},{"from_index":664,"to_index":952,"sum":136645,"residue":291},{"from_index":952,"to_index":1240,"sum":131609,"residue":433},{"from_index":1240,"to_index":1528,"sum":124414,"residue":142},{"from_index":1528,"to_index":88,"sum":110173,"residue":572}],"minimal_cycle":[430,721,291,433,142,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[88,376],"circle_positions":863,"cycle_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":[89,377,665,953,1241,1529],"clock_positions":[89,377,665,953,1241,1529],"native_values":[802,277,338,61,586,525],"rotation_degrees":18.541666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[802,277,338,61,586,525],"beta":{"interval_sums":[115473,123285,136399,132208,124396,110419],"interval_residues":[694,739,45,169,124,818],"display_cycle":[694,739,45,169,124,818],"intervals":[{"from_index":89,"to_index":377,"sum":115473,"residue":694},{"from_index":377,"to_index":665,"sum":123285,"residue":739},{"from_index":665,"to_index":953,"sum":136399,"residue":45},{"from_index":953,"to_index":1241,"sum":132208,"residue":169},{"from_index":1241,"to_index":1529,"sum":124396,"residue":124},{"from_index":1529,"to_index":89,"sum":110419,"residue":818}],"minimal_cycle":[694,739,45,169,124,818],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[89,377],"circle_positions":863,"cycle_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":[90,378,666,954,1242,1530],"clock_positions":[90,378,666,954,1242,1530],"native_values":[710,480,633,153,383,230],"rotation_degrees":18.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,480,633,153,383,230],"beta":{"interval_sums":[115040,123143,135827,132641,124538,110991],"interval_residues":[261,597,336,602,266,527],"display_cycle":[261,597,336,602,266,527],"intervals":[{"from_index":90,"to_index":378,"sum":115040,"residue":261},{"from_index":378,"to_index":666,"sum":123143,"residue":597},{"from_index":666,"to_index":954,"sum":135827,"residue":336},{"from_index":954,"to_index":1242,"sum":132641,"residue":602},{"from_index":1242,"to_index":1530,"sum":124538,"residue":266},{"from_index":1530,"to_index":90,"sum":110991,"residue":527}],"minimal_cycle":[261,597,336,602,266,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[90,378],"circle_positions":863,"cycle_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":[91,379,667,955,1243,1531],"clock_positions":[91,379,667,955,1243,1531],"native_values":[649,757,108,214,106,755],"rotation_degrees":18.958333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[649,757,108,214,106,755],"beta":{"interval_sums":[114871,123019,135872,132810,124662,110946],"interval_residues":[92,473,381,771,390,482],"display_cycle":[92,473,381,771,390,482],"intervals":[{"from_index":91,"to_index":379,"sum":114871,"residue":92},{"from_index":379,"to_index":667,"sum":123019,"residue":473},{"from_index":667,"to_index":955,"sum":135872,"residue":381},{"from_index":955,"to_index":1243,"sum":132810,"residue":771},{"from_index":1243,"to_index":1531,"sum":124662,"residue":390},{"from_index":1531,"to_index":91,"sum":110946,"residue":482}],"minimal_cycle":[92,473,381,771,390,482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[91,379],"circle_positions":863,"cycle_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":[92,380,668,956,1244,1532],"clock_positions":[92,380,668,956,1244,1532],"native_values":[496,374,741,367,489,122],"rotation_degrees":19.166666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,374,741,367,489,122],"beta":{"interval_sums":[115132,122753,135345,132549,124928,111473],"interval_residues":[353,207,717,510,656,146],"display_cycle":[353,207,717,510,656,146],"intervals":[{"from_index":92,"to_index":380,"sum":115132,"residue":353},{"from_index":380,"to_index":668,"sum":122753,"residue":207},{"from_index":668,"to_index":956,"sum":135345,"residue":717},{"from_index":956,"to_index":1244,"sum":132549,"residue":510},{"from_index":1244,"to_index":1532,"sum":124928,"residue":656},{"from_index":1532,"to_index":92,"sum":111473,"residue":146}],"minimal_cycle":[353,207,717,510,656,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[92,380],"circle_positions":863,"cycle_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":[93,381,669,957,1245,1533],"clock_positions":[93,381,669,957,1245,1533],"native_values":[282,268,849,581,595,14],"rotation_degrees":19.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,268,849,581,595,14],"beta":{"interval_sums":[115224,123226,134863,132457,124455,111955],"interval_residues":[445,680,235,418,183,628],"display_cycle":[445,680,235,418,183,628],"intervals":[{"from_index":93,"to_index":381,"sum":115224,"residue":445},{"from_index":381,"to_index":669,"sum":123226,"residue":680},{"from_index":669,"to_index":957,"sum":134863,"residue":235},{"from_index":957,"to_index":1245,"sum":132457,"residue":418},{"from_index":1245,"to_index":1533,"sum":124455,"residue":183},{"from_index":1533,"to_index":93,"sum":111955,"residue":628}],"minimal_cycle":[445,680,235,418,183,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":445,"start_interval_clock_positions":[93,381],"circle_positions":863,"cycle_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":[94,382,670,958,1246,1534],"clock_positions":[94,382,670,958,1246,1534],"native_values":[778,642,727,85,221,136],"rotation_degrees":19.583333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[778,642,727,85,221,136],"beta":{"interval_sums":[114714,123433,134717,132967,124248,112101],"interval_residues":[798,24,89,65,839,774],"display_cycle":[798,24,89,65,839,774],"intervals":[{"from_index":94,"to_index":382,"sum":114714,"residue":798},{"from_index":382,"to_index":670,"sum":123433,"residue":24},{"from_index":670,"to_index":958,"sum":134717,"residue":89},{"from_index":958,"to_index":1246,"sum":132967,"residue":65},{"from_index":1246,"to_index":1534,"sum":124248,"residue":839},{"from_index":1534,"to_index":94,"sum":112101,"residue":774}],"minimal_cycle":[798,24,89,65,839,774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":798,"start_interval_clock_positions":[94,382],"circle_positions":863,"cycle_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":[95,383,671,959,1247,1535],"clock_positions":[95,383,671,959,1247,1535],"native_values":[197,47,713,666,816,150],"rotation_degrees":19.791666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,47,713,666,816,150],"beta":{"interval_sums":[115159,124113,134089,132522,123568,112729],"interval_residues":[380,704,324,483,159,539],"display_cycle":[380,704,324,483,159,539],"intervals":[{"from_index":95,"to_index":383,"sum":115159,"residue":380},{"from_index":383,"to_index":671,"sum":124113,"residue":704},{"from_index":671,"to_index":959,"sum":134089,"residue":324},{"from_index":959,"to_index":1247,"sum":132522,"residue":483},{"from_index":1247,"to_index":1535,"sum":123568,"residue":159},{"from_index":1535,"to_index":95,"sum":112729,"residue":539}],"minimal_cycle":[380,704,324,483,159,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[95,383],"circle_positions":863,"cycle_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":[96,384,672,960,1248,1536],"clock_positions":[96,384,672,960,1248,1536],"native_values":[112,689,577,751,174,286],"rotation_degrees":20.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,689,577,751,174,286],"beta":{"interval_sums":[115094,124137,134178,132587,123544,112640],"interval_residues":[315,728,413,548,135,450],"display_cycle":[315,728,413,548,135,450],"intervals":[{"from_index":96,"to_index":384,"sum":115094,"residue":315},{"from_index":384,"to_index":672,"sum":124137,"residue":728},{"from_index":672,"to_index":960,"sum":134178,"residue":413},{"from_index":960,"to_index":1248,"sum":132587,"residue":548},{"from_index":1248,"to_index":1536,"sum":123544,"residue":135},{"from_index":1536,"to_index":96,"sum":112640,"residue":450}],"minimal_cycle":[315,728,413,548,135,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[96,384],"circle_positions":863,"cycle_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":[97,385,673,961,1249,1537],"clock_positions":[97,385,673,961,1249,1537],"native_values":[309,736,427,554,127,436],"rotation_degrees":20.208333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,736,427,554,127,436],"beta":{"interval_sums":[115474,123978,134502,132207,123703,112316],"interval_residues":[695,569,737,168,294,126],"display_cycle":[695,569,737,168,294,126],"intervals":[{"from_index":97,"to_index":385,"sum":115474,"residue":695},{"from_index":385,"to_index":673,"sum":123978,"residue":569},{"from_index":673,"to_index":961,"sum":134502,"residue":737},{"from_index":961,"to_index":1249,"sum":132207,"residue":168},{"from_index":1249,"to_index":1537,"sum":123703,"residue":294},{"from_index":1537,"to_index":97,"sum":112316,"residue":126}],"minimal_cycle":[695,569,737,168,294,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[97,385],"circle_positions":863,"cycle_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":[98,386,674,962,1250,1538],"clock_positions":[98,386,674,962,1250,1538],"native_values":[421,562,141,442,301,722],"rotation_degrees":20.416666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,562,141,442,301,722],"beta":{"interval_sums":[115789,123843,134915,131892,123838,111903],"interval_residues":[147,434,287,716,429,576],"display_cycle":[147,434,287,716,429,576],"intervals":[{"from_index":98,"to_index":386,"sum":115789,"residue":147},{"from_index":386,"to_index":674,"sum":123843,"residue":434},{"from_index":674,"to_index":962,"sum":134915,"residue":287},{"from_index":962,"to_index":1250,"sum":131892,"residue":716},{"from_index":1250,"to_index":1538,"sum":123838,"residue":429},{"from_index":1538,"to_index":98,"sum":111903,"residue":576}],"minimal_cycle":[147,434,287,716,429,576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[98,386],"circle_positions":863,"cycle_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":[99,387,675,963,1251,1539],"clock_positions":[99,387,675,963,1251,1539],"native_values":[730,435,568,133,428,295],"rotation_degrees":20.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,435,568,133,428,295],"beta":{"interval_sums":[115621,123549,134789,132060,124132,112029],"interval_residues":[842,140,161,21,723,702],"display_cycle":[842,140,161,21,723,702],"intervals":[{"from_index":99,"to_index":387,"sum":115621,"residue":842},{"from_index":387,"to_index":675,"sum":123549,"residue":140},{"from_index":675,"to_index":963,"sum":134789,"residue":161},{"from_index":963,"to_index":1251,"sum":132060,"residue":21},{"from_index":1251,"to_index":1539,"sum":124132,"residue":723},{"from_index":1539,"to_index":99,"sum":112029,"residue":702}],"minimal_cycle":[842,140,161,21,723,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":842,"start_interval_clock_positions":[99,387],"circle_positions":863,"cycle_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":[100,388,676,964,1252,1540],"clock_positions":[100,388,676,964,1252,1540],"native_values":[288,134,709,575,729,154],"rotation_degrees":20.833333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,134,709,575,729,154],"beta":{"interval_sums":[115768,123983,134213,131913,123698,112605],"interval_residues":[126,574,448,737,289,415],"display_cycle":[126,574,448,737,289,415],"intervals":[{"from_index":100,"to_index":388,"sum":115768,"residue":126},{"from_index":388,"to_index":676,"sum":123983,"residue":574},{"from_index":676,"to_index":964,"sum":134213,"residue":448},{"from_index":964,"to_index":1252,"sum":131913,"residue":737},{"from_index":1252,"to_index":1540,"sum":123698,"residue":289},{"from_index":1540,"to_index":100,"sum":112605,"residue":415}],"minimal_cycle":[126,574,448,737,289,415],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[100,388],"circle_positions":863,"cycle_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":[101,389,677,965,1253,1541],"clock_positions":[101,389,677,965,1253,1541],"native_values":[155,569,414,708,294,449],"rotation_degrees":21.041666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,569,414,708,294,449],"beta":{"interval_sums":[115747,124123,134374,131934,123558,112444],"interval_residues":[105,714,609,758,149,254],"display_cycle":[105,714,609,758,149,254],"intervals":[{"from_index":101,"to_index":389,"sum":115747,"residue":105},{"from_index":389,"to_index":677,"sum":124123,"residue":714},{"from_index":677,"to_index":965,"sum":134374,"residue":609},{"from_index":965,"to_index":1253,"sum":131934,"residue":758},{"from_index":1253,"to_index":1541,"sum":123558,"residue":149},{"from_index":1541,"to_index":101,"sum":112444,"residue":254}],"minimal_cycle":[105,714,609,758,149,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[101,389],"circle_positions":863,"cycle_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":[102,390,678,966,1254,1542],"clock_positions":[102,390,678,966,1254,1542],"native_values":[443,703,260,420,160,603],"rotation_degrees":21.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,703,260,420,160,603],"beta":{"interval_sums":[115873,123834,134822,131808,123847,111996],"interval_residues":[231,425,194,632,438,669],"display_cycle":[231,425,194,632,438,669],"intervals":[{"from_index":102,"to_index":390,"sum":115873,"residue":231},{"from_index":390,"to_index":678,"sum":123834,"residue":425},{"from_index":678,"to_index":966,"sum":134822,"residue":194},{"from_index":966,"to_index":1254,"sum":131808,"residue":632},{"from_index":1254,"to_index":1542,"sum":123847,"residue":438},{"from_index":1542,"to_index":102,"sum":111996,"residue":669}],"minimal_cycle":[231,425,194,632,438,669],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":231,"start_interval_clock_positions":[102,390],"circle_positions":863,"cycle_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":[103,391,679,967,1255,1543],"clock_positions":[103,391,679,967,1255,1543],"native_values":[598,409,674,265,454,189],"rotation_degrees":21.458333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,409,674,265,454,189],"beta":{"interval_sums":[115978,123685,134568,131703,123996,112250],"interval_residues":[336,276,803,527,587,60],"display_cycle":[336,276,803,527,587,60],"intervals":[{"from_index":103,"to_index":391,"sum":115978,"residue":336},{"from_index":391,"to_index":679,"sum":123685,"residue":276},{"from_index":679,"to_index":967,"sum":134568,"residue":803},{"from_index":967,"to_index":1255,"sum":131703,"residue":527},{"from_index":1255,"to_index":1543,"sum":123996,"residue":587},{"from_index":1543,"to_index":103,"sum":112250,"residue":60}],"minimal_cycle":[336,276,803,527,587,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[103,391],"circle_positions":863,"cycle_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":[104,392,680,968,1256,1544],"clock_positions":[104,392,680,968,1256,1544],"native_values":[178,249,71,685,614,792],"rotation_degrees":21.666666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,249,71,685,614,792],"beta":{"interval_sums":[116209,124110,134762,131472,123571,112056],"interval_residues":[567,701,134,296,162,729],"display_cycle":[567,701,134,296,162,729],"intervals":[{"from_index":104,"to_index":392,"sum":116209,"residue":567},{"from_index":392,"to_index":680,"sum":124110,"residue":701},{"from_index":680,"to_index":968,"sum":134762,"residue":134},{"from_index":968,"to_index":1256,"sum":131472,"residue":296},{"from_index":1256,"to_index":1544,"sum":123571,"residue":162},{"from_index":1544,"to_index":104,"sum":112056,"residue":729}],"minimal_cycle":[567,701,134,296,162,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[104,392],"circle_positions":863,"cycle_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":[105,393,681,969,1257,1545],"clock_positions":[105,393,681,969,1257,1545],"native_values":[776,658,745,87,205,118],"rotation_degrees":21.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[776,658,745,87,205,118],"beta":{"interval_sums":[115682,123523,134702,131999,124158,112116],"interval_residues":[40,114,74,823,749,789],"display_cycle":[40,114,74,823,749,789],"intervals":[{"from_index":105,"to_index":393,"sum":115682,"residue":40},{"from_index":393,"to_index":681,"sum":123523,"residue":114},{"from_index":681,"to_index":969,"sum":134702,"residue":74},{"from_index":969,"to_index":1257,"sum":131999,"residue":823},{"from_index":1257,"to_index":1545,"sum":124158,"residue":749},{"from_index":1545,"to_index":105,"sum":112116,"residue":789}],"minimal_cycle":[40,114,74,823,749,789],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[105,393],"circle_positions":863,"cycle_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":[106,394,682,970,1258,1546],"clock_positions":[106,394,682,970,1258,1546],"native_values":[91,44,816,772,819,47],"rotation_degrees":22.083333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,44,816,772,819,47],"beta":{"interval_sums":[116249,124224,133973,131432,123457,112845],"interval_residues":[607,815,208,256,48,655],"display_cycle":[607,815,208,256,48,655],"intervals":[{"from_index":106,"to_index":394,"sum":116249,"residue":607},{"from_index":394,"to_index":682,"sum":124224,"residue":815},{"from_index":682,"to_index":970,"sum":133973,"residue":208},{"from_index":970,"to_index":1258,"sum":131432,"residue":256},{"from_index":1258,"to_index":1546,"sum":123457,"residue":48},{"from_index":1546,"to_index":106,"sum":112845,"residue":655}],"minimal_cycle":[607,815,208,256,48,655],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":607,"start_interval_clock_positions":[106,394],"circle_positions":863,"cycle_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":[107,395,683,971,1259,1547],"clock_positions":[107,395,683,971,1259,1547],"native_values":[4,702,698,859,161,165],"rotation_degrees":22.291666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,702,698,859,161,165],"beta":{"interval_sums":[116289,124338,134047,131392,123343,112771],"interval_residues":[647,66,282,216,797,581],"display_cycle":[647,66,282,216,797,581],"intervals":[{"from_index":107,"to_index":395,"sum":116289,"residue":647},{"from_index":395,"to_index":683,"sum":124338,"residue":66},{"from_index":683,"to_index":971,"sum":134047,"residue":282},{"from_index":971,"to_index":1259,"sum":131392,"residue":216},{"from_index":1259,"to_index":1547,"sum":123343,"residue":797},{"from_index":1547,"to_index":107,"sum":112771,"residue":581}],"minimal_cycle":[647,66,282,216,797,581],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":647,"start_interval_clock_positions":[107,395],"circle_positions":863,"cycle_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":[108,396,684,972,1260,1548],"clock_positions":[108,396,684,972,1260,1548],"native_values":[95,746,651,768,117,212],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,746,651,768,117,212],"beta":{"interval_sums":[116896,124290,134255,130785,123391,112563],"interval_residues":[391,18,490,472,845,373],"display_cycle":[391,18,490,472,845,373],"intervals":[{"from_index":108,"to_index":396,"sum":116896,"residue":391},{"from_index":396,"to_index":684,"sum":124290,"residue":18},{"from_index":684,"to_index":972,"sum":134255,"residue":490},{"from_index":972,"to_index":1260,"sum":130785,"residue":472},{"from_index":1260,"to_index":1548,"sum":123391,"residue":845},{"from_index":1548,"to_index":108,"sum":112563,"residue":373}],"minimal_cycle":[391,18,490,472,845,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[108,396],"circle_positions":863,"cycle_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":[109,397,685,973,1261,1549],"clock_positions":[109,397,685,973,1261,1549],"native_values":[99,585,486,764,278,377],"rotation_degrees":22.708333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,585,486,764,278,377],"beta":{"interval_sums":[117543,124356,134537,130138,123325,112281],"interval_residues":[175,84,772,688,779,91],"display_cycle":[175,84,772,688,779,91],"intervals":[{"from_index":109,"to_index":397,"sum":117543,"residue":175},{"from_index":397,"to_index":685,"sum":124356,"residue":84},{"from_index":685,"to_index":973,"sum":134537,"residue":772},{"from_index":973,"to_index":1261,"sum":130138,"residue":688},{"from_index":1261,"to_index":1549,"sum":123325,"residue":779},{"from_index":1549,"to_index":109,"sum":112281,"residue":91}],"minimal_cycle":[175,84,772,688,779,91],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[109,397],"circle_positions":863,"cycle_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":[110,398,686,974,1262,1550],"clock_positions":[110,398,686,974,1262,1550],"native_values":[194,468,274,669,395,589],"rotation_degrees":22.916666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,468,274,669,395,589],"beta":{"interval_sums":[117934,124374,135027,129747,123307,111791],"interval_residues":[566,102,399,297,761,464],"display_cycle":[566,102,399,297,761,464],"intervals":[{"from_index":110,"to_index":398,"sum":117934,"residue":566},{"from_index":398,"to_index":686,"sum":124374,"residue":102},{"from_index":686,"to_index":974,"sum":135027,"residue":399},{"from_index":974,"to_index":1262,"sum":129747,"residue":297},{"from_index":1262,"to_index":1550,"sum":123307,"residue":761},{"from_index":1550,"to_index":110,"sum":111791,"residue":464}],"minimal_cycle":[566,102,399,297,761,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[110,398],"circle_positions":863,"cycle_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":[111,399,687,975,1263,1551],"clock_positions":[111,399,687,975,1263,1551],"native_values":[293,190,760,570,673,103],"rotation_degrees":23.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,190,760,570,673,103],"beta":{"interval_sums":[118109,124458,134936,129572,123223,111882],"interval_residues":[741,186,308,122,677,555],"display_cycle":[741,186,308,122,677,555],"intervals":[{"from_index":111,"to_index":399,"sum":118109,"residue":741},{"from_index":399,"to_index":687,"sum":124458,"residue":186},{"from_index":687,"to_index":975,"sum":134936,"residue":308},{"from_index":975,"to_index":1263,"sum":129572,"residue":122},{"from_index":1263,"to_index":1551,"sum":123223,"residue":677},{"from_index":1551,"to_index":111,"sum":111882,"residue":555}],"minimal_cycle":[741,186,308,122,677,555],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[111,399],"circle_positions":863,"cycle_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":[112,400,688,976,1264,1552],"clock_positions":[112,400,688,976,1264,1552],"native_values":[487,658,171,376,205,692],"rotation_degrees":23.333333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,658,171,376,205,692],"beta":{"interval_sums":[117812,124560,135335,129869,123121,111483],"interval_residues":[444,288,707,419,575,156],"display_cycle":[444,288,707,419,575,156],"intervals":[{"from_index":112,"to_index":400,"sum":117812,"residue":444},{"from_index":400,"to_index":688,"sum":124560,"residue":288},{"from_index":688,"to_index":976,"sum":135335,"residue":707},{"from_index":976,"to_index":1264,"sum":129869,"residue":419},{"from_index":1264,"to_index":1552,"sum":123121,"residue":575},{"from_index":1552,"to_index":112,"sum":111483,"residue":156}],"minimal_cycle":[444,288,707,419,575,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[112,400],"circle_positions":863,"cycle_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":[113,401,689,977,1265,1553],"clock_positions":[113,401,689,977,1265,1553],"native_values":[780,848,68,83,15,795],"rotation_degrees":23.541666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[780,848,68,83,15,795],"beta":{"interval_sums":[117690,123883,135643,129991,123798,111175],"interval_residues":[322,474,152,541,389,711],"display_cycle":[322,474,152,541,389,711],"intervals":[{"from_index":113,"to_index":401,"sum":117690,"residue":322},{"from_index":401,"to_index":689,"sum":123883,"residue":474},{"from_index":689,"to_index":977,"sum":135643,"residue":152},{"from_index":977,"to_index":1265,"sum":129991,"residue":541},{"from_index":1265,"to_index":1553,"sum":123798,"residue":389},{"from_index":1553,"to_index":113,"sum":111175,"residue":711}],"minimal_cycle":[322,474,152,541,389,711],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[113,401],"circle_positions":863,"cycle_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":[114,402,690,978,1266,1554],"clock_positions":[114,402,690,978,1266,1554],"native_values":[404,643,239,459,220,624],"rotation_degrees":23.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,643,239,459,220,624],"beta":{"interval_sums":[118134,123308,135487,129547,124373,111331],"interval_residues":[766,762,859,97,101,4],"display_cycle":[766,762,859,97,101,4],"intervals":[{"from_index":114,"to_index":402,"sum":118134,"residue":766},{"from_index":402,"to_index":690,"sum":123308,"residue":762},{"from_index":690,"to_index":978,"sum":135487,"residue":859},{"from_index":978,"to_index":1266,"sum":129547,"residue":97},{"from_index":1266,"to_index":1554,"sum":124373,"residue":101},{"from_index":1554,"to_index":114,"sum":111331,"residue":4}],"minimal_cycle":[766,762,859,97,101,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":766,"start_interval_clock_positions":[114,402],"circle_positions":863,"cycle_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":[115,403,691,979,1267,1555],"clock_positions":[115,403,691,979,1267,1555],"native_values":[321,628,307,542,235,556],"rotation_degrees":23.958333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,628,307,542,235,556],"beta":{"interval_sums":[118456,122919,135639,129225,124762,111179],"interval_residues":[225,373,148,638,490,715],"display_cycle":[225,373,148,638,490,715],"intervals":[{"from_index":115,"to_index":403,"sum":118456,"residue":225},{"from_index":403,"to_index":691,"sum":122919,"residue":373},{"from_index":691,"to_index":979,"sum":135639,"residue":148},{"from_index":979,"to_index":1267,"sum":129225,"residue":638},{"from_index":1267,"to_index":1555,"sum":124762,"residue":490},{"from_index":1555,"to_index":115,"sum":111179,"residue":715}],"minimal_cycle":[225,373,148,638,490,715],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[115,403],"circle_positions":863,"cycle_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":[116,404,692,980,1268,1556],"clock_positions":[116,404,692,980,1268,1556],"native_values":[725,408,546,138,455,317],"rotation_degrees":24.166666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,408,546,138,455,317],"beta":{"interval_sums":[118359,122818,135635,129322,124863,111183],"interval_residues":[128,272,144,735,591,719],"display_cycle":[128,272,144,735,591,719],"intervals":[{"from_index":116,"to_index":404,"sum":118359,"residue":128},{"from_index":404,"to_index":692,"sum":122818,"residue":272},{"from_index":692,"to_index":980,"sum":135635,"residue":144},{"from_index":980,"to_index":1268,"sum":129322,"residue":735},{"from_index":1268,"to_index":1556,"sum":124863,"residue":591},{"from_index":1556,"to_index":116,"sum":111183,"residue":719}],"minimal_cycle":[128,272,144,735,591,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[116,404],"circle_positions":863,"cycle_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":[117,405,693,981,1269,1557],"clock_positions":[117,405,693,981,1269,1557],"native_values":[183,173,853,680,690,10],"rotation_degrees":24.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,173,853,680,690,10],"beta":{"interval_sums":[118584,123191,134920,129097,124490,111898],"interval_residues":[353,645,292,510,218,571],"display_cycle":[353,645,292,510,218,571],"intervals":[{"from_index":117,"to_index":405,"sum":118584,"residue":353},{"from_index":405,"to_index":693,"sum":123191,"residue":645},{"from_index":693,"to_index":981,"sum":134920,"residue":292},{"from_index":981,"to_index":1269,"sum":129097,"residue":510},{"from_index":1269,"to_index":1557,"sum":124490,"residue":218},{"from_index":1557,"to_index":117,"sum":111898,"residue":571}],"minimal_cycle":[353,645,292,510,218,571],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[117,405],"circle_positions":863,"cycle_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":[118,406,694,982,1270,1558],"clock_positions":[118,406,694,982,1270,1558],"native_values":[45,581,536,818,282,327],"rotation_degrees":24.583333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,581,536,818,282,327],"beta":{"interval_sums":[118712,123463,135064,128969,124218,111754],"interval_residues":[481,54,436,382,809,427],"display_cycle":[481,54,436,382,809,427],"intervals":[{"from_index":118,"to_index":406,"sum":118712,"residue":481},{"from_index":406,"to_index":694,"sum":123463,"residue":54},{"from_index":694,"to_index":982,"sum":135064,"residue":436},{"from_index":982,"to_index":1270,"sum":128969,"residue":382},{"from_index":1270,"to_index":1558,"sum":124218,"residue":809},{"from_index":1558,"to_index":118,"sum":111754,"residue":427}],"minimal_cycle":[481,54,436,382,809,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":481,"start_interval_clock_positions":[118,406],"circle_positions":863,"cycle_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":[119,407,695,983,1271,1559],"clock_positions":[119,407,695,983,1271,1559],"native_values":[228,754,526,635,109,337],"rotation_degrees":24.791666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[228,754,526,635,109,337],"beta":{"interval_sums":[119065,123245,135356,128616,124436,111462],"interval_residues":[834,699,728,29,164,135],"display_cycle":[834,699,728,29,164,135],"intervals":[{"from_index":119,"to_index":407,"sum":119065,"residue":834},{"from_index":407,"to_index":695,"sum":123245,"residue":699},{"from_index":695,"to_index":983,"sum":135356,"residue":728},{"from_index":983,"to_index":1271,"sum":128616,"residue":29},{"from_index":1271,"to_index":1559,"sum":124436,"residue":164},{"from_index":1559,"to_index":119,"sum":111462,"residue":135}],"minimal_cycle":[834,699,728,29,164,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":834,"start_interval_clock_positions":[119,407],"circle_positions":863,"cycle_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":[120,408,696,984,1272,1560],"clock_positions":[120,408,696,984,1272,1560],"native_values":[273,472,199,590,391,664],"rotation_degrees":25.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,472,199,590,391,664],"beta":{"interval_sums":[119546,123299,135792,128135,124382,111026],"interval_residues":[452,753,301,411,110,562],"display_cycle":[452,753,301,411,110,562],"intervals":[{"from_index":120,"to_index":408,"sum":119546,"residue":452},{"from_index":408,"to_index":696,"sum":123299,"residue":753},{"from_index":696,"to_index":984,"sum":135792,"residue":301},{"from_index":984,"to_index":1272,"sum":128135,"residue":411},{"from_index":1272,"to_index":1560,"sum":124382,"residue":110},{"from_index":1560,"to_index":120,"sum":111026,"residue":562}],"minimal_cycle":[452,753,301,411,110,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[120,408],"circle_positions":863,"cycle_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":[121,409,697,985,1273,1561],"clock_positions":[121,409,697,985,1273,1561],"native_values":[501,363,725,362,500,138],"rotation_degrees":25.208333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,363,725,362,500,138],"beta":{"interval_sums":[119517,123135,135657,128164,124546,111161],"interval_residues":[423,589,166,440,274,697],"display_cycle":[423,589,166,440,274,697],"intervals":[{"from_index":121,"to_index":409,"sum":119517,"residue":423},{"from_index":409,"to_index":697,"sum":123135,"residue":589},{"from_index":697,"to_index":985,"sum":135657,"residue":166},{"from_index":985,"to_index":1273,"sum":128164,"residue":440},{"from_index":1273,"to_index":1561,"sum":124546,"residue":274},{"from_index":1561,"to_index":121,"sum":111161,"residue":697}],"minimal_cycle":[423,589,166,440,274,697],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":423,"start_interval_clock_positions":[121,409],"circle_positions":863,"cycle_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":[122,410,698,986,1274,1562],"clock_positions":[122,410,698,986,1274,1562],"native_values":[774,835,61,89,28,802],"rotation_degrees":25.416666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[774,835,61,89,28,802],"beta":{"interval_sums":[119106,123025,135958,128575,124656,110860],"interval_residues":[12,479,467,851,384,396],"display_cycle":[12,479,467,851,384,396],"intervals":[{"from_index":122,"to_index":410,"sum":119106,"residue":12},{"from_index":410,"to_index":698,"sum":123025,"residue":479},{"from_index":698,"to_index":986,"sum":135958,"residue":467},{"from_index":986,"to_index":1274,"sum":128575,"residue":851},{"from_index":1274,"to_index":1562,"sum":124656,"residue":384},{"from_index":1562,"to_index":122,"sum":110860,"residue":396}],"minimal_cycle":[12,479,467,851,384,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[122,410],"circle_positions":863,"cycle_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":[123,411,699,987,1275,1563],"clock_positions":[123,411,699,987,1275,1563],"native_values":[412,335,786,451,528,77],"rotation_degrees":25.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,335,786,451,528,77],"beta":{"interval_sums":[119529,122751,135261,128152,124930,111557],"interval_residues":[435,205,633,428,658,230],"display_cycle":[435,205,633,428,658,230],"intervals":[{"from_index":123,"to_index":411,"sum":119529,"residue":435},{"from_index":411,"to_index":699,"sum":122751,"residue":205},{"from_index":699,"to_index":987,"sum":135261,"residue":633},{"from_index":987,"to_index":1275,"sum":128152,"residue":428},{"from_index":1275,"to_index":1563,"sum":124930,"residue":658},{"from_index":1563,"to_index":123,"sum":111557,"residue":230}],"minimal_cycle":[435,205,633,428,658,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[123,411],"circle_positions":863,"cycle_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":[124,412,700,988,1276,1564],"clock_positions":[124,412,700,988,1276,1564],"native_values":[323,307,847,540,556,16],"rotation_degrees":25.833333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,307,847,540,556,16],"beta":{"interval_sums":[119541,123230,134865,128140,124451,111953],"interval_residues":[447,684,237,416,179,626],"display_cycle":[447,684,237,416,179,626],"intervals":[{"from_index":124,"to_index":412,"sum":119541,"residue":447},{"from_index":412,"to_index":700,"sum":123230,"residue":684},{"from_index":700,"to_index":988,"sum":134865,"residue":237},{"from_index":988,"to_index":1276,"sum":128140,"residue":416},{"from_index":1276,"to_index":1564,"sum":124451,"residue":179},{"from_index":1564,"to_index":124,"sum":111953,"residue":626}],"minimal_cycle":[447,684,237,416,179,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":447,"start_interval_clock_positions":[124,412],"circle_positions":863,"cycle_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":[125,413,701,989,1277,1565],"clock_positions":[125,413,701,989,1277,1565],"native_values":[735,642,770,128,221,93],"rotation_degrees":26.041666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[735,642,770,128,221,93],"beta":{"interval_sums":[119113,123435,134635,128568,124246,112183],"interval_residues":[19,26,7,844,837,856],"display_cycle":[19,26,7,844,837,856],"intervals":[{"from_index":125,"to_index":413,"sum":119113,"residue":19},{"from_index":413,"to_index":701,"sum":123435,"residue":26},{"from_index":701,"to_index":989,"sum":134635,"residue":7},{"from_index":989,"to_index":1277,"sum":128568,"residue":844},{"from_index":1277,"to_index":1565,"sum":124246,"residue":837},{"from_index":1565,"to_index":125,"sum":112183,"residue":856}],"minimal_cycle":[19,26,7,844,837,856],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[125,413],"circle_positions":863,"cycle_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":[126,414,702,990,1278,1566],"clock_positions":[126,414,702,990,1278,1566],"native_values":[195,86,754,668,777,109],"rotation_degrees":26.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,86,754,668,777,109],"beta":{"interval_sums":[119560,124119,134009,128121,123562,112809],"interval_residues":[466,710,244,397,153,619],"display_cycle":[466,710,244,397,153,619],"intervals":[{"from_index":126,"to_index":414,"sum":119560,"residue":466},{"from_index":414,"to_index":702,"sum":124119,"residue":710},{"from_index":702,"to_index":990,"sum":134009,"residue":244},{"from_index":990,"to_index":1278,"sum":128121,"residue":397},{"from_index":1278,"to_index":1566,"sum":123562,"residue":153},{"from_index":1566,"to_index":126,"sum":112809,"residue":619}],"minimal_cycle":[466,710,244,397,153,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[126,414],"circle_positions":863,"cycle_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":[127,415,703,991,1279,1567],"clock_positions":[127,415,703,991,1279,1567],"native_values":[67,728,661,796,135,202],"rotation_degrees":26.458333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,728,661,796,135,202],"beta":{"interval_sums":[119579,124145,134016,128102,123536,112802],"interval_residues":[485,736,251,378,127,612],"display_cycle":[485,736,251,378,127,612],"intervals":[{"from_index":127,"to_index":415,"sum":119579,"residue":485},{"from_index":415,"to_index":703,"sum":124145,"residue":736},{"from_index":703,"to_index":991,"sum":134016,"residue":251},{"from_index":991,"to_index":1279,"sum":128102,"residue":378},{"from_index":1279,"to_index":1567,"sum":123536,"residue":127},{"from_index":1567,"to_index":127,"sum":112802,"residue":612}],"minimal_cycle":[485,736,251,378,127,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[127,415],"circle_positions":863,"cycle_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":[128,416,704,992,1280,1568],"clock_positions":[128,416,704,992,1280,1568],"native_values":[262,814,552,601,49,311],"rotation_degrees":26.666666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,814,552,601,49,311],"beta":{"interval_sums":[120045,123992,134260,127636,123689,112558],"interval_residues":[88,583,495,775,280,368],"display_cycle":[88,583,495,775,280,368],"intervals":[{"from_index":128,"to_index":416,"sum":120045,"residue":88},{"from_index":416,"to_index":704,"sum":123992,"residue":583},{"from_index":704,"to_index":992,"sum":134260,"residue":495},{"from_index":992,"to_index":1280,"sum":127636,"residue":775},{"from_index":1280,"to_index":1568,"sum":123689,"residue":280},{"from_index":1568,"to_index":128,"sum":112558,"residue":368}],"minimal_cycle":[88,583,495,775,280,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[128,416],"circle_positions":863,"cycle_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":[129,417,705,993,1281,1569],"clock_positions":[129,417,705,993,1281,1569],"native_values":[329,679,350,534,184,513],"rotation_degrees":26.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,679,350,534,184,513],"beta":{"interval_sums":[120530,123865,134511,127151,123816,112307],"interval_residues":[573,456,746,290,407,117],"display_cycle":[573,456,746,290,407,117],"intervals":[{"from_index":129,"to_index":417,"sum":120530,"residue":573},{"from_index":417,"to_index":705,"sum":123865,"residue":456},{"from_index":705,"to_index":993,"sum":134511,"residue":746},{"from_index":993,"to_index":1281,"sum":127151,"residue":290},{"from_index":1281,"to_index":1569,"sum":123816,"residue":407},{"from_index":1569,"to_index":129,"sum":112307,"residue":117}],"minimal_cycle":[573,456,746,290,407,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[129,417],"circle_positions":863,"cycle_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":[130,418,706,994,1282,1570],"clock_positions":[130,418,706,994,1282,1570],"native_values":[591,630,39,272,233,824],"rotation_degrees":27.083333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,630,39,272,233,824],"beta":{"interval_sums":[120618,123585,135006,127063,124096,111812],"interval_residues":[661,176,378,202,687,485],"display_cycle":[661,176,378,202,687,485],"intervals":[{"from_index":130,"to_index":418,"sum":120618,"residue":661},{"from_index":418,"to_index":706,"sum":123585,"residue":176},{"from_index":706,"to_index":994,"sum":135006,"residue":378},{"from_index":994,"to_index":1282,"sum":127063,"residue":202},{"from_index":1282,"to_index":1570,"sum":124096,"residue":687},{"from_index":1570,"to_index":130,"sum":111812,"residue":485}],"minimal_cycle":[661,176,378,202,687,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[130,418],"circle_positions":863,"cycle_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":[131,419,707,995,1283,1571],"clock_positions":[131,419,707,995,1283,1571],"native_values":[57,446,389,806,417,474],"rotation_degrees":27.291666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,446,389,806,417,474],"beta":{"interval_sums":[121191,123178,134889,126490,124503,111929],"interval_residues":[371,632,261,492,231,602],"display_cycle":[371,632,261,492,231,602],"intervals":[{"from_index":131,"to_index":419,"sum":121191,"residue":371},{"from_index":419,"to_index":707,"sum":123178,"residue":632},{"from_index":707,"to_index":995,"sum":134889,"residue":261},{"from_index":995,"to_index":1283,"sum":126490,"residue":492},{"from_index":1283,"to_index":1571,"sum":124503,"residue":231},{"from_index":1571,"to_index":131,"sum":111929,"residue":602}],"minimal_cycle":[371,632,261,492,231,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[131,419],"circle_positions":863,"cycle_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":[132,420,708,996,1284,1572],"clock_positions":[132,420,708,996,1284,1572],"native_values":[648,213,428,215,650,435],"rotation_degrees":27.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[648,213,428,215,650,435],"beta":{"interval_sums":[120989,123354,135267,126692,124327,111551],"interval_residues":[169,808,639,694,55,224],"display_cycle":[169,808,639,694,55,224],"intervals":[{"from_index":132,"to_index":420,"sum":120989,"residue":169},{"from_index":420,"to_index":708,"sum":123354,"residue":808},{"from_index":708,"to_index":996,"sum":135267,"residue":639},{"from_index":996,"to_index":1284,"sum":126692,"residue":694},{"from_index":1284,"to_index":1572,"sum":124327,"residue":55},{"from_index":1572,"to_index":132,"sum":111551,"residue":224}],"minimal_cycle":[169,808,639,694,55,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[132,420],"circle_positions":863,"cycle_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":[133,421,709,997,1285,1573],"clock_positions":[133,421,709,997,1285,1573],"native_values":[705,659,817,158,204,46],"rotation_degrees":27.708333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,659,817,158,204,46],"beta":{"interval_sums":[120497,123123,134665,127184,124558,112153],"interval_residues":[540,577,37,323,286,826],"display_cycle":[540,577,37,323,286,826],"intervals":[{"from_index":133,"to_index":421,"sum":120497,"residue":540},{"from_index":421,"to_index":709,"sum":123123,"residue":577},{"from_index":709,"to_index":997,"sum":134665,"residue":37},{"from_index":997,"to_index":1285,"sum":127184,"residue":323},{"from_index":1285,"to_index":1573,"sum":124558,"residue":286},{"from_index":1573,"to_index":133,"sum":112153,"residue":826}],"minimal_cycle":[540,577,37,323,286,826],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[133,421],"circle_positions":863,"cycle_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":[134,422,710,998,1286,1574],"clock_positions":[134,422,710,998,1286,1574],"native_values":[490,9,382,373,854,481],"rotation_degrees":27.916666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[490,9,382,373,854,481],"beta":{"interval_sums":[120666,123931,134441,127015,123750,112377],"interval_residues":[709,522,676,154,341,187],"display_cycle":[709,522,676,154,341,187],"intervals":[{"from_index":134,"to_index":422,"sum":120666,"residue":709},{"from_index":422,"to_index":710,"sum":123931,"residue":522},{"from_index":710,"to_index":998,"sum":134441,"residue":676},{"from_index":998,"to_index":1286,"sum":127015,"residue":154},{"from_index":1286,"to_index":1574,"sum":123750,"residue":341},{"from_index":1574,"to_index":134,"sum":112377,"residue":187}],"minimal_cycle":[709,522,676,154,341,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":709,"start_interval_clock_positions":[134,422],"circle_positions":863,"cycle_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":[135,423,711,999,1287,1575],"clock_positions":[135,423,711,999,1287,1575],"native_values":[332,668,336,531,195,527],"rotation_degrees":28.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,668,336,531,195,527],"beta":{"interval_sums":[120343,123645,134478,127338,124036,112340],"interval_residues":[386,236,713,477,627,150],"display_cycle":[386,236,713,477,627,150],"intervals":[{"from_index":135,"to_index":423,"sum":120343,"residue":386},{"from_index":423,"to_index":711,"sum":123645,"residue":236},{"from_index":711,"to_index":999,"sum":134478,"residue":713},{"from_index":999,"to_index":1287,"sum":127338,"residue":477},{"from_index":1287,"to_index":1575,"sum":124036,"residue":627},{"from_index":1575,"to_index":135,"sum":112340,"residue":150}],"minimal_cycle":[386,236,713,477,627,150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[135,423],"circle_positions":863,"cycle_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":[136,424,712,1000,1288,1576],"clock_positions":[136,424,712,1000,1288,1576],"native_values":[822,677,718,41,186,145],"rotation_degrees":28.333333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[822,677,718,41,186,145],"beta":{"interval_sums":[120189,123304,134291,127492,124377,112527],"interval_residues":[232,758,526,631,105,337],"display_cycle":[232,758,526,631,105,337],"intervals":[{"from_index":136,"to_index":424,"sum":120189,"residue":232},{"from_index":424,"to_index":712,"sum":123304,"residue":758},{"from_index":712,"to_index":1000,"sum":134291,"residue":526},{"from_index":1000,"to_index":1288,"sum":127492,"residue":631},{"from_index":1288,"to_index":1576,"sum":124377,"residue":105},{"from_index":1576,"to_index":136,"sum":112527,"residue":337}],"minimal_cycle":[232,758,526,631,105,337],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[136,424],"circle_positions":863,"cycle_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":[137,425,713,1001,1289,1577],"clock_positions":[137,425,713,1001,1289,1577],"native_values":[291,482,191,572,381,672],"rotation_degrees":28.541666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,482,191,572,381,672],"beta":{"interval_sums":[120575,123540,134141,127106,124141,112677],"interval_residues":[618,131,376,245,732,487],"display_cycle":[618,131,376,245,732,487],"intervals":[{"from_index":137,"to_index":425,"sum":120575,"residue":618},{"from_index":425,"to_index":713,"sum":123540,"residue":131},{"from_index":713,"to_index":1001,"sum":134141,"residue":376},{"from_index":1001,"to_index":1289,"sum":127106,"residue":245},{"from_index":1289,"to_index":1577,"sum":124141,"residue":732},{"from_index":1577,"to_index":137,"sum":112677,"residue":487}],"minimal_cycle":[618,131,376,245,732,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[137,425],"circle_positions":863,"cycle_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":[138,426,714,1002,1290,1578],"clock_positions":[138,426,714,1002,1290,1578],"native_values":[250,296,46,613,567,817],"rotation_degrees":28.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[250,296,46,613,567,817],"beta":{"interval_sums":[120807,123435,134667,126874,124246,112151],"interval_residues":[850,26,39,13,837,824],"display_cycle":[850,26,39,13,837,824],"intervals":[{"from_index":138,"to_index":426,"sum":120807,"residue":850},{"from_index":426,"to_index":714,"sum":123435,"residue":26},{"from_index":714,"to_index":1002,"sum":134667,"residue":39},{"from_index":1002,"to_index":1290,"sum":126874,"residue":13},{"from_index":1290,"to_index":1578,"sum":124246,"residue":837},{"from_index":1578,"to_index":138,"sum":112151,"residue":824}],"minimal_cycle":[850,26,39,13,837,824],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":850,"start_interval_clock_positions":[138,426],"circle_positions":863,"cycle_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":[139,427,715,1003,1291,1579],"clock_positions":[139,427,715,1003,1291,1579],"native_values":[541,778,237,322,85,626],"rotation_degrees":28.958333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[541,778,237,322,85,626],"beta":{"interval_sums":[120562,122703,135043,127119,124978,111775],"interval_residues":[605,157,415,258,706,448],"display_cycle":[605,157,415,258,706,448],"intervals":[{"from_index":139,"to_index":427,"sum":120562,"residue":605},{"from_index":427,"to_index":715,"sum":122703,"residue":157},{"from_index":715,"to_index":1003,"sum":135043,"residue":415},{"from_index":1003,"to_index":1291,"sum":127119,"residue":258},{"from_index":1291,"to_index":1579,"sum":124978,"residue":706},{"from_index":1579,"to_index":139,"sum":111775,"residue":448}],"minimal_cycle":[605,157,415,258,706,448],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":605,"start_interval_clock_positions":[139,427],"circle_positions":863,"cycle_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":[140,428,716,1004,1292,1580],"clock_positions":[140,428,716,1004,1292,1580],"native_values":[791,211,283,72,652,580],"rotation_degrees":29.166666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[791,211,283,72,652,580],"beta":{"interval_sums":[120549,122729,135082,127132,124952,111736],"interval_residues":[592,183,454,271,680,409],"display_cycle":[592,183,454,271,680,409],"intervals":[{"from_index":140,"to_index":428,"sum":120549,"residue":592},{"from_index":428,"to_index":716,"sum":122729,"residue":183},{"from_index":716,"to_index":1004,"sum":135082,"residue":454},{"from_index":1004,"to_index":1292,"sum":127132,"residue":271},{"from_index":1292,"to_index":1580,"sum":124952,"residue":680},{"from_index":1580,"to_index":140,"sum":111736,"residue":409}],"minimal_cycle":[592,183,454,271,680,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[140,428],"circle_positions":863,"cycle_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":[141,429,717,1005,1293,1581],"clock_positions":[141,429,717,1005,1293,1581],"native_values":[469,126,520,394,737,343],"rotation_degrees":29.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,126,520,394,737,343],"beta":{"interval_sums":[120291,122886,134634,127390,124795,112184],"interval_residues":[334,340,6,529,523,857],"display_cycle":[334,340,6,529,523,857],"intervals":[{"from_index":141,"to_index":429,"sum":120291,"residue":334},{"from_index":429,"to_index":717,"sum":122886,"residue":340},{"from_index":717,"to_index":1005,"sum":134634,"residue":6},{"from_index":1005,"to_index":1293,"sum":127390,"residue":529},{"from_index":1293,"to_index":1581,"sum":124795,"residue":523},{"from_index":1581,"to_index":141,"sum":112184,"residue":857}],"minimal_cycle":[334,340,6,529,523,857],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[141,429],"circle_positions":863,"cycle_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":[142,430,718,1006,1294,1582],"clock_positions":[142,430,718,1006,1294,1582],"native_values":[397,337,803,466,526,60],"rotation_degrees":29.583333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,337,803,466,526,60],"beta":{"interval_sums":[120020,123069,134225,127661,124612,112593],"interval_residues":[63,523,460,800,340,403],"display_cycle":[63,523,460,800,340,403],"intervals":[{"from_index":142,"to_index":430,"sum":120020,"residue":63},{"from_index":430,"to_index":718,"sum":123069,"residue":523},{"from_index":718,"to_index":1006,"sum":134225,"residue":460},{"from_index":1006,"to_index":1294,"sum":127661,"residue":800},{"from_index":1294,"to_index":1582,"sum":124612,"residue":340},{"from_index":1582,"to_index":142,"sum":112593,"residue":403}],"minimal_cycle":[63,523,460,800,340,403],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[142,430],"circle_positions":863,"cycle_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":[143,431,719,1007,1295,1583],"clock_positions":[143,431,719,1007,1295,1583],"native_values":[3,463,460,860,400,403],"rotation_degrees":29.791666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,463,460,860,400,403],"beta":{"interval_sums":[120354,123409,134231,127327,124272,112587],"interval_residues":[397,0,466,466,0,397],"display_cycle":[397,863,466,466,863,397],"intervals":[{"from_index":143,"to_index":431,"sum":120354,"residue":397},{"from_index":431,"to_index":719,"sum":123409,"residue":0},{"from_index":719,"to_index":1007,"sum":134231,"residue":466},{"from_index":1007,"to_index":1295,"sum":127327,"residue":466},{"from_index":1295,"to_index":1583,"sum":124272,"residue":0},{"from_index":1583,"to_index":143,"sum":112587,"residue":397}],"minimal_cycle":[397,0,466,466,0,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[143,431],"circle_positions":863,"cycle_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":[144,432,720,1008,1296,1584],"clock_positions":[144,432,720,1008,1296,1584],"native_values":[400,800,400,463,63,463],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,800,400,463,63,463],"beta":{"interval_sums":[120417,123069,134691,127264,124612,112127],"interval_residues":[460,523,63,403,340,800],"display_cycle":[460,523,63,403,340,800],"intervals":[{"from_index":144,"to_index":432,"sum":120417,"residue":460},{"from_index":432,"to_index":720,"sum":123069,"residue":523},{"from_index":720,"to_index":1008,"sum":134691,"residue":63},{"from_index":1008,"to_index":1296,"sum":127264,"residue":403},{"from_index":1296,"to_index":1584,"sum":124612,"residue":340},{"from_index":1584,"to_index":144,"sum":112127,"residue":800}],"minimal_cycle":[460,523,63,403,340,800],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[144,432],"circle_positions":863,"cycle_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":[145,433,721,1009,1297,1585],"clock_positions":[145,433,721,1009,1297,1585],"native_values":[403,400,860,460,463,3],"rotation_degrees":30.208333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,400,860,460,463,3],"beta":{"interval_sums":[120814,123069,134294,126867,124612,112524],"interval_residues":[857,523,529,6,340,334],"display_cycle":[857,523,529,6,340,334],"intervals":[{"from_index":145,"to_index":433,"sum":120814,"residue":857},{"from_index":433,"to_index":721,"sum":123069,"residue":523},{"from_index":721,"to_index":1009,"sum":134294,"residue":529},{"from_index":1009,"to_index":1297,"sum":126867,"residue":6},{"from_index":1297,"to_index":1585,"sum":124612,"residue":340},{"from_index":1585,"to_index":145,"sum":112524,"residue":334}],"minimal_cycle":[857,523,529,6,340,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":857,"start_interval_clock_positions":[145,433],"circle_positions":863,"cycle_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":[146,434,722,1010,1298,1586],"clock_positions":[146,434,722,1010,1298,1586],"native_values":[803,337,397,60,526,466],"rotation_degrees":30.416666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,337,397,60,526,466],"beta":{"interval_sums":[120411,123592,134357,127270,124089,112461],"interval_residues":[454,183,592,409,680,271],"display_cycle":[454,183,592,409,680,271],"intervals":[{"from_index":146,"to_index":434,"sum":120411,"residue":454},{"from_index":434,"to_index":722,"sum":123592,"residue":183},{"from_index":722,"to_index":1010,"sum":134357,"residue":592},{"from_index":1010,"to_index":1298,"sum":127270,"residue":409},{"from_index":1298,"to_index":1586,"sum":124089,"residue":680},{"from_index":1586,"to_index":146,"sum":112461,"residue":271}],"minimal_cycle":[454,183,592,409,680,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[146,434],"circle_positions":863,"cycle_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":[147,435,723,1011,1299,1587],"clock_positions":[147,435,723,1011,1299,1587],"native_values":[343,737,394,520,126,469],"rotation_degrees":30.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,737,394,520,126,469],"beta":{"interval_sums":[120405,123252,134023,127276,124429,112795],"interval_residues":[448,706,258,415,157,605],"display_cycle":[448,706,258,415,157,605],"intervals":[{"from_index":147,"to_index":435,"sum":120405,"residue":448},{"from_index":435,"to_index":723,"sum":123252,"residue":706},{"from_index":723,"to_index":1011,"sum":134023,"residue":258},{"from_index":1011,"to_index":1299,"sum":127276,"residue":415},{"from_index":1299,"to_index":1587,"sum":124429,"residue":157},{"from_index":1587,"to_index":147,"sum":112795,"residue":605}],"minimal_cycle":[448,706,258,415,157,605],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[147,435],"circle_positions":863,"cycle_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":[148,436,724,1012,1300,1588],"clock_positions":[148,436,724,1012,1300,1588],"native_values":[283,211,791,580,652,72],"rotation_degrees":30.833333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,211,791,580,652,72],"beta":{"interval_sums":[120859,123435,133752,126822,124246,113066],"interval_residues":[39,26,850,824,837,13],"display_cycle":[39,26,850,824,837,13],"intervals":[{"from_index":148,"to_index":436,"sum":120859,"residue":39},{"from_index":436,"to_index":724,"sum":123435,"residue":26},{"from_index":724,"to_index":1012,"sum":133752,"residue":850},{"from_index":1012,"to_index":1300,"sum":126822,"residue":824},{"from_index":1300,"to_index":1588,"sum":124246,"residue":837},{"from_index":1588,"to_index":148,"sum":113066,"residue":13}],"minimal_cycle":[39,26,850,824,837,13],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[148,436],"circle_positions":863,"cycle_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":[149,437,725,1013,1301,1589],"clock_positions":[149,437,725,1013,1301,1589],"native_values":[626,85,322,237,778,541],"rotation_degrees":31.041666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,85,322,237,778,541],"beta":{"interval_sums":[120444,124141,134010,127237,123540,112808],"interval_residues":[487,732,245,376,131,618],"display_cycle":[487,732,245,376,131,618],"intervals":[{"from_index":149,"to_index":437,"sum":120444,"residue":487},{"from_index":437,"to_index":725,"sum":124141,"residue":732},{"from_index":725,"to_index":1013,"sum":134010,"residue":245},{"from_index":1013,"to_index":1301,"sum":127237,"residue":376},{"from_index":1301,"to_index":1589,"sum":123540,"residue":131},{"from_index":1589,"to_index":149,"sum":112808,"residue":618}],"minimal_cycle":[487,732,245,376,131,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[149,437],"circle_positions":863,"cycle_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":[150,438,726,1014,1302,1590],"clock_positions":[150,438,726,1014,1302,1590],"native_values":[46,296,250,817,567,613],"rotation_degrees":31.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,296,250,817,567,613],"beta":{"interval_sums":[120483,124167,133997,127198,123514,112821],"interval_residues":[526,758,232,337,105,631],"display_cycle":[526,758,232,337,105,631],"intervals":[{"from_index":150,"to_index":438,"sum":120483,"residue":526},{"from_index":438,"to_index":726,"sum":124167,"residue":758},{"from_index":726,"to_index":1014,"sum":133997,"residue":232},{"from_index":1014,"to_index":1302,"sum":127198,"residue":337},{"from_index":1302,"to_index":1590,"sum":123514,"residue":105},{"from_index":1590,"to_index":150,"sum":112821,"residue":631}],"minimal_cycle":[526,758,232,337,105,631],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[150,438],"circle_positions":863,"cycle_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":[151,439,727,1015,1303,1591],"clock_positions":[151,439,727,1015,1303,1591],"native_values":[672,381,572,191,482,291],"rotation_degrees":31.458333333333332,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,381,572,191,482,291],"beta":{"interval_sums":[120107,124036,134242,127574,123645,112576],"interval_residues":[150,627,477,713,236,386],"display_cycle":[150,627,477,713,236,386],"intervals":[{"from_index":151,"to_index":439,"sum":120107,"residue":150},{"from_index":439,"to_index":727,"sum":124036,"residue":627},{"from_index":727,"to_index":1015,"sum":134242,"residue":477},{"from_index":1015,"to_index":1303,"sum":127574,"residue":713},{"from_index":1303,"to_index":1591,"sum":123645,"residue":236},{"from_index":1591,"to_index":151,"sum":112576,"residue":386}],"minimal_cycle":[150,627,477,713,236,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[151,439],"circle_positions":863,"cycle_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":[152,440,728,1016,1304,1592],"clock_positions":[152,440,728,1016,1304,1592],"native_values":[718,677,822,145,186,41],"rotation_degrees":31.666666666666668,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,677,822,145,186,41],"beta":{"interval_sums":[119770,123931,133611,127911,123750,113207],"interval_residues":[676,522,709,187,341,154],"display_cycle":[676,522,709,187,341,154],"intervals":[{"from_index":152,"to_index":440,"sum":119770,"residue":676},{"from_index":440,"to_index":728,"sum":123931,"residue":522},{"from_index":728,"to_index":1016,"sum":133611,"residue":709},{"from_index":1016,"to_index":1304,"sum":127911,"residue":187},{"from_index":1304,"to_index":1592,"sum":123750,"residue":341},{"from_index":1592,"to_index":152,"sum":113207,"residue":154}],"minimal_cycle":[676,522,709,187,341,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[152,440],"circle_positions":863,"cycle_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":[153,441,729,1017,1305,1593],"clock_positions":[153,441,729,1017,1305,1593],"native_values":[527,195,531,336,668,332],"rotation_degrees":31.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,195,531,336,668,332],"beta":{"interval_sums":[119920,124558,133225,127761,123123,113593],"interval_residues":[826,286,323,37,577,540],"display_cycle":[826,286,323,37,577,540],"intervals":[{"from_index":153,"to_index":441,"sum":119920,"residue":826},{"from_index":441,"to_index":729,"sum":124558,"residue":286},{"from_index":729,"to_index":1017,"sum":133225,"residue":323},{"from_index":1017,"to_index":1305,"sum":127761,"residue":37},{"from_index":1305,"to_index":1593,"sum":123123,"residue":577},{"from_index":1593,"to_index":153,"sum":113593,"residue":540}],"minimal_cycle":[826,286,323,37,577,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":826,"start_interval_clock_positions":[153,441],"circle_positions":863,"cycle_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":[154,442,730,1018,1306,1594],"clock_positions":[154,442,730,1018,1306,1594],"native_values":[382,9,490,481,854,373],"rotation_degrees":32.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,9,490,481,854,373],"beta":{"interval_sums":[119733,125080,133071,127948,122601,113747],"interval_residues":[639,808,169,224,55,694],"display_cycle":[639,808,169,224,55,694],"intervals":[{"from_index":154,"to_index":442,"sum":119733,"residue":639},{"from_index":442,"to_index":730,"sum":125080,"residue":808},{"from_index":730,"to_index":1018,"sum":133071,"residue":169},{"from_index":1018,"to_index":1306,"sum":127948,"residue":224},{"from_index":1306,"to_index":1594,"sum":122601,"residue":55},{"from_index":1594,"to_index":154,"sum":113747,"residue":694}],"minimal_cycle":[639,808,169,224,55,694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[154,442],"circle_positions":863,"cycle_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":[155,443,731,1019,1307,1595],"clock_positions":[155,443,731,1019,1307,1595],"native_values":[46,204,158,817,659,705],"rotation_degrees":32.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,204,158,817,659,705],"beta":{"interval_sums":[119696,125366,133394,127985,122315,113424],"interval_residues":[602,231,492,261,632,371],"display_cycle":[602,231,492,261,632,371],"intervals":[{"from_index":155,"to_index":443,"sum":119696,"residue":602},{"from_index":443,"to_index":731,"sum":125366,"residue":231},{"from_index":731,"to_index":1019,"sum":133394,"residue":492},{"from_index":1019,"to_index":1307,"sum":127985,"residue":261},{"from_index":1307,"to_index":1595,"sum":122315,"residue":632},{"from_index":1595,"to_index":155,"sum":113424,"residue":371}],"minimal_cycle":[602,231,492,261,632,371],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[155,443],"circle_positions":863,"cycle_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":[156,444,732,1020,1308,1596],"clock_positions":[156,444,732,1020,1308,1596],"native_values":[428,213,648,435,650,215],"rotation_degrees":32.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,213,648,435,650,215],"beta":{"interval_sums":[119472,125311,133563,128209,122370,113255],"interval_residues":[378,176,661,485,687,202],"display_cycle":[378,176,661,485,687,202],"intervals":[{"from_index":156,"to_index":444,"sum":119472,"residue":378},{"from_index":444,"to_index":732,"sum":125311,"residue":176},{"from_index":732,"to_index":1020,"sum":133563,"residue":661},{"from_index":1020,"to_index":1308,"sum":128209,"residue":485},{"from_index":1308,"to_index":1596,"sum":122370,"residue":687},{"from_index":1596,"to_index":156,"sum":113255,"residue":202}],"minimal_cycle":[378,176,661,485,687,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[156,444],"circle_positions":863,"cycle_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":[157,445,733,1021,1309,1597],"clock_positions":[157,445,733,1021,1309,1597],"native_values":[474,417,806,389,446,57],"rotation_degrees":32.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,417,806,389,446,57],"beta":{"interval_sums":[119211,125542,133192,128470,122139,113626],"interval_residues":[117,407,290,746,456,573],"display_cycle":[117,407,290,746,456,573],"intervals":[{"from_index":157,"to_index":445,"sum":119211,"residue":117},{"from_index":445,"to_index":733,"sum":125542,"residue":407},{"from_index":733,"to_index":1021,"sum":133192,"residue":290},{"from_index":1021,"to_index":1309,"sum":128470,"residue":746},{"from_index":1309,"to_index":1597,"sum":122139,"residue":456},{"from_index":1597,"to_index":157,"sum":113626,"residue":573}],"minimal_cycle":[117,407,290,746,456,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[157,445],"circle_positions":863,"cycle_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":[158,446,734,1022,1310,1598],"clock_positions":[158,446,734,1022,1310,1598],"native_values":[39,630,591,824,233,272],"rotation_degrees":32.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,630,591,824,233,272],"beta":{"interval_sums":[119589,125718,132990,128092,121963,113828],"interval_residues":[495,583,88,368,280,775],"display_cycle":[495,583,88,368,280,775],"intervals":[{"from_index":158,"to_index":446,"sum":119589,"residue":495},{"from_index":446,"to_index":734,"sum":125718,"residue":583},{"from_index":734,"to_index":1022,"sum":132990,"residue":88},{"from_index":1022,"to_index":1310,"sum":128092,"residue":368},{"from_index":1310,"to_index":1598,"sum":121963,"residue":280},{"from_index":1598,"to_index":158,"sum":113828,"residue":775}],"minimal_cycle":[495,583,88,368,280,775],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[158,446],"circle_positions":863,"cycle_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":[159,447,735,1023,1311,1599],"clock_positions":[159,447,735,1023,1311,1599],"native_values":[513,184,534,350,679,329],"rotation_degrees":33.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,184,534,350,679,329],"beta":{"interval_sums":[119706,126125,133280,127975,121556,113538],"interval_residues":[612,127,378,251,736,485],"display_cycle":[612,127,378,251,736,485],"intervals":[{"from_index":159,"to_index":447,"sum":119706,"residue":612},{"from_index":447,"to_index":735,"sum":126125,"residue":127},{"from_index":735,"to_index":1023,"sum":133280,"residue":378},{"from_index":1023,"to_index":1311,"sum":127975,"residue":251},{"from_index":1311,"to_index":1599,"sum":121556,"residue":736},{"from_index":1599,"to_index":159,"sum":113538,"residue":485}],"minimal_cycle":[612,127,378,251,736,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[159,447],"circle_positions":863,"cycle_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":[160,448,736,1024,1312,1600],"clock_positions":[160,448,736,1024,1312,1600],"native_values":[552,814,262,311,49,601],"rotation_degrees":33.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,814,262,311,49,601],"beta":{"interval_sums":[119338,125845,133368,128343,121836,113450],"interval_residues":[244,710,466,619,153,397],"display_cycle":[244,710,466,619,153,397],"intervals":[{"from_index":160,"to_index":448,"sum":119338,"residue":244},{"from_index":448,"to_index":736,"sum":125845,"residue":710},{"from_index":736,"to_index":1024,"sum":133368,"residue":466},{"from_index":1024,"to_index":1312,"sum":128343,"residue":619},{"from_index":1312,"to_index":1600,"sum":121836,"residue":153},{"from_index":1600,"to_index":160,"sum":113450,"residue":397}],"minimal_cycle":[244,710,466,619,153,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[160,448],"circle_positions":863,"cycle_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":[161,449,737,1025,1313,1601],"clock_positions":[161,449,737,1025,1313,1601],"native_values":[202,135,796,661,728,67],"rotation_degrees":33.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[202,135,796,661,728,67],"beta":{"interval_sums":[119950,125972,132883,127731,121709,113935],"interval_residues":[856,837,844,7,26,19],"display_cycle":[856,837,844,7,26,19],"intervals":[{"from_index":161,"to_index":449,"sum":119950,"residue":856},{"from_index":449,"to_index":737,"sum":125972,"residue":837},{"from_index":737,"to_index":1025,"sum":132883,"residue":844},{"from_index":1025,"to_index":1313,"sum":127731,"residue":7},{"from_index":1313,"to_index":1601,"sum":121709,"residue":26},{"from_index":1601,"to_index":161,"sum":113935,"residue":19}],"minimal_cycle":[856,837,844,7,26,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":856,"start_interval_clock_positions":[161,449],"circle_positions":863,"cycle_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":[162,450,738,1026,1314,1602],"clock_positions":[162,450,738,1026,1314,1602],"native_values":[754,86,195,109,777,668],"rotation_degrees":33.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[754,86,195,109,777,668],"beta":{"interval_sums":[119331,126682,133349,128350,120999,113469],"interval_residues":[237,684,447,626,179,416],"display_cycle":[237,684,447,626,179,416],"intervals":[{"from_index":162,"to_index":450,"sum":119331,"residue":237},{"from_index":450,"to_index":738,"sum":126682,"residue":684},{"from_index":738,"to_index":1026,"sum":133349,"residue":447},{"from_index":1026,"to_index":1314,"sum":128350,"residue":626},{"from_index":1314,"to_index":1602,"sum":120999,"residue":179},{"from_index":1602,"to_index":162,"sum":113469,"residue":416}],"minimal_cycle":[237,684,447,626,179,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[162,450],"circle_positions":863,"cycle_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":[163,451,739,1027,1315,1603],"clock_positions":[163,451,739,1027,1315,1603],"native_values":[93,221,128,770,642,735],"rotation_degrees":33.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,221,128,770,642,735],"beta":{"interval_sums":[119324,126656,133330,128357,121025,113488],"interval_residues":[230,658,428,633,205,435],"display_cycle":[230,658,428,633,205,435],"intervals":[{"from_index":163,"to_index":451,"sum":119324,"residue":230},{"from_index":451,"to_index":739,"sum":126656,"residue":658},{"from_index":739,"to_index":1027,"sum":133330,"residue":428},{"from_index":1027,"to_index":1315,"sum":128357,"residue":633},{"from_index":1315,"to_index":1603,"sum":121025,"residue":205},{"from_index":1603,"to_index":163,"sum":113488,"residue":435}],"minimal_cycle":[230,658,428,633,205,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[163,451],"circle_positions":863,"cycle_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":[164,452,740,1028,1316,1604],"clock_positions":[164,452,740,1028,1316,1604],"native_values":[847,307,323,16,556,540],"rotation_degrees":34.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[847,307,323,16,556,540],"beta":{"interval_sums":[118698,126477,133777,128983,121204,113041],"interval_residues":[467,479,12,396,384,851],"display_cycle":[467,479,12,396,384,851],"intervals":[{"from_index":164,"to_index":452,"sum":118698,"residue":467},{"from_index":452,"to_index":740,"sum":126477,"residue":479},{"from_index":740,"to_index":1028,"sum":133777,"residue":12},{"from_index":1028,"to_index":1316,"sum":128983,"residue":396},{"from_index":1316,"to_index":1604,"sum":121204,"residue":384},{"from_index":1604,"to_index":164,"sum":113041,"residue":851}],"minimal_cycle":[467,479,12,396,384,851],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[164,452],"circle_positions":863,"cycle_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":[165,453,741,1029,1317,1605],"clock_positions":[165,453,741,1029,1317,1605],"native_values":[77,528,451,786,335,412],"rotation_degrees":34.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,528,451,786,335,412],"beta":{"interval_sums":[118928,126272,133342,128753,121409,113476],"interval_residues":[697,274,440,166,589,423],"display_cycle":[697,274,440,166,589,423],"intervals":[{"from_index":165,"to_index":453,"sum":118928,"residue":697},{"from_index":453,"to_index":741,"sum":126272,"residue":274},{"from_index":741,"to_index":1029,"sum":133342,"residue":440},{"from_index":1029,"to_index":1317,"sum":128753,"residue":166},{"from_index":1317,"to_index":1605,"sum":121409,"residue":589},{"from_index":1605,"to_index":165,"sum":113476,"residue":423}],"minimal_cycle":[697,274,440,166,589,423],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":697,"start_interval_clock_positions":[165,453],"circle_positions":863,"cycle_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":[166,454,742,1030,1318,1606],"clock_positions":[166,454,742,1030,1318,1606],"native_values":[61,835,774,802,28,89],"rotation_degrees":34.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,835,774,802,28,89],"beta":{"interval_sums":[119395,125888,133354,128286,121793,113464],"interval_residues":[301,753,452,562,110,411],"display_cycle":[301,753,452,562,110,411],"intervals":[{"from_index":166,"to_index":454,"sum":119395,"residue":301},{"from_index":454,"to_index":742,"sum":125888,"residue":753},{"from_index":742,"to_index":1030,"sum":133354,"residue":452},{"from_index":1030,"to_index":1318,"sum":128286,"residue":562},{"from_index":1318,"to_index":1606,"sum":121793,"residue":110},{"from_index":1606,"to_index":166,"sum":113464,"residue":411}],"minimal_cycle":[301,753,452,562,110,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[166,454],"circle_positions":863,"cycle_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":[167,455,743,1031,1319,1607],"clock_positions":[167,455,743,1031,1319,1607],"native_values":[138,500,362,725,363,501],"rotation_degrees":34.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,500,362,725,363,501],"beta":{"interval_sums":[120092,126162,133794,127589,121519,113024],"interval_residues":[135,164,29,728,699,834],"display_cycle":[135,164,29,728,699,834],"intervals":[{"from_index":167,"to_index":455,"sum":120092,"residue":135},{"from_index":455,"to_index":743,"sum":126162,"residue":164},{"from_index":743,"to_index":1031,"sum":133794,"residue":29},{"from_index":1031,"to_index":1319,"sum":127589,"residue":728},{"from_index":1319,"to_index":1607,"sum":121519,"residue":699},{"from_index":1607,"to_index":167,"sum":113024,"residue":834}],"minimal_cycle":[135,164,29,728,699,834],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[167,455],"circle_positions":863,"cycle_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":[168,456,744,1032,1320,1608],"clock_positions":[168,456,744,1032,1320,1608],"native_values":[199,472,273,664,391,590],"rotation_degrees":35.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,472,273,664,391,590],"beta":{"interval_sums":[120393,126052,134246,127288,121629,112572],"interval_residues":[436,54,481,427,809,382],"display_cycle":[436,54,481,427,809,382],"intervals":[{"from_index":168,"to_index":456,"sum":120393,"residue":436},{"from_index":456,"to_index":744,"sum":126052,"residue":54},{"from_index":744,"to_index":1032,"sum":134246,"residue":481},{"from_index":1032,"to_index":1320,"sum":127288,"residue":427},{"from_index":1320,"to_index":1608,"sum":121629,"residue":809},{"from_index":1608,"to_index":168,"sum":112572,"residue":382}],"minimal_cycle":[436,54,481,427,809,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[168,456],"circle_positions":863,"cycle_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":[169,457,745,1033,1321,1609],"clock_positions":[169,457,745,1033,1321,1609],"native_values":[337,109,635,526,754,228],"rotation_degrees":35.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,109,635,526,754,228],"beta":{"interval_sums":[120528,126216,134275,127153,121465,112543],"interval_residues":[571,218,510,292,645,353],"display_cycle":[571,218,510,292,645,353],"intervals":[{"from_index":169,"to_index":457,"sum":120528,"residue":571},{"from_index":457,"to_index":745,"sum":126216,"residue":218},{"from_index":745,"to_index":1033,"sum":134275,"residue":510},{"from_index":1033,"to_index":1321,"sum":127153,"residue":292},{"from_index":1321,"to_index":1609,"sum":121465,"residue":645},{"from_index":1609,"to_index":169,"sum":112543,"residue":353}],"minimal_cycle":[571,218,510,292,645,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[169,457],"circle_positions":863,"cycle_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":[170,458,746,1034,1322,1610],"clock_positions":[170,458,746,1034,1322,1610],"native_values":[536,581,45,327,282,818],"rotation_degrees":35.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,581,45,327,282,818],"beta":{"interval_sums":[120101,126270,134756,127580,121411,112062],"interval_residues":[144,272,128,719,591,735],"display_cycle":[144,272,128,719,591,735],"intervals":[{"from_index":170,"to_index":458,"sum":120101,"residue":144},{"from_index":458,"to_index":746,"sum":126270,"residue":272},{"from_index":746,"to_index":1034,"sum":134756,"residue":128},{"from_index":1034,"to_index":1322,"sum":127580,"residue":719},{"from_index":1322,"to_index":1610,"sum":121411,"residue":591},{"from_index":1610,"to_index":170,"sum":112062,"residue":735}],"minimal_cycle":[144,272,128,719,591,735],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[170,458],"circle_positions":863,"cycle_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":[171,459,747,1035,1323,1611],"clock_positions":[171,459,747,1035,1323,1611],"native_values":[10,690,680,853,173,183],"rotation_degrees":35.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,690,680,853,173,183],"beta":{"interval_sums":[120672,125625,134403,127009,122056,112415],"interval_residues":[715,490,638,148,373,225],"display_cycle":[715,490,638,148,373,225],"intervals":[{"from_index":171,"to_index":459,"sum":120672,"residue":715},{"from_index":459,"to_index":747,"sum":125625,"residue":490},{"from_index":747,"to_index":1035,"sum":134403,"residue":638},{"from_index":1035,"to_index":1323,"sum":127009,"residue":148},{"from_index":1323,"to_index":1611,"sum":122056,"residue":373},{"from_index":1611,"to_index":171,"sum":112415,"residue":225}],"minimal_cycle":[715,490,638,148,373,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":715,"start_interval_clock_positions":[171,459],"circle_positions":863,"cycle_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":[172,460,748,1036,1324,1612],"clock_positions":[172,460,748,1036,1324,1612],"native_values":[546,408,725,317,455,138],"rotation_degrees":35.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,408,725,317,455,138],"beta":{"interval_sums":[120816,125897,134531,126865,121784,112287],"interval_residues":[859,762,766,4,101,97],"display_cycle":[859,762,766,4,101,97],"intervals":[{"from_index":172,"to_index":460,"sum":120816,"residue":859},{"from_index":460,"to_index":748,"sum":125897,"residue":762},{"from_index":748,"to_index":1036,"sum":134531,"residue":766},{"from_index":1036,"to_index":1324,"sum":126865,"residue":4},{"from_index":1324,"to_index":1612,"sum":121784,"residue":101},{"from_index":1612,"to_index":172,"sum":112287,"residue":97}],"minimal_cycle":[859,762,766,4,101,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":859,"start_interval_clock_positions":[172,460],"circle_positions":863,"cycle_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":[173,461,749,1037,1325,1613],"clock_positions":[173,461,749,1037,1325,1613],"native_values":[556,235,542,307,628,321],"rotation_degrees":36.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,235,542,307,628,321],"beta":{"interval_sums":[120668,126387,134306,127013,121294,112512],"interval_residues":[711,389,541,152,474,322],"display_cycle":[711,389,541,152,474,322],"intervals":[{"from_index":173,"to_index":461,"sum":120668,"residue":711},{"from_index":461,"to_index":749,"sum":126387,"residue":389},{"from_index":749,"to_index":1037,"sum":134306,"residue":541},{"from_index":1037,"to_index":1325,"sum":127013,"residue":152},{"from_index":1325,"to_index":1613,"sum":121294,"residue":474},{"from_index":1613,"to_index":173,"sum":112512,"residue":322}],"minimal_cycle":[711,389,541,152,474,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[173,461],"circle_positions":863,"cycle_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":[174,462,750,1038,1326,1614],"clock_positions":[174,462,750,1038,1326,1614],"native_values":[239,643,404,624,220,459],"rotation_degrees":36.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,643,404,624,220,459],"beta":{"interval_sums":[120664,126286,134209,127017,121395,112609],"interval_residues":[707,288,444,156,575,419],"display_cycle":[707,288,444,156,575,419],"intervals":[{"from_index":174,"to_index":462,"sum":120664,"residue":707},{"from_index":462,"to_index":750,"sum":126286,"residue":288},{"from_index":750,"to_index":1038,"sum":134209,"residue":444},{"from_index":1038,"to_index":1326,"sum":127017,"residue":156},{"from_index":1326,"to_index":1614,"sum":121395,"residue":575},{"from_index":1614,"to_index":174,"sum":112609,"residue":419}],"minimal_cycle":[707,288,444,156,575,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[174,462],"circle_positions":863,"cycle_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":[175,463,751,1039,1327,1615],"clock_positions":[175,463,751,1039,1327,1615],"native_values":[795,15,83,68,848,780],"rotation_degrees":36.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,15,83,68,848,780],"beta":{"interval_sums":[120512,126675,134750,127169,121006,112068],"interval_residues":[555,677,122,308,186,741],"display_cycle":[555,677,122,308,186,741],"intervals":[{"from_index":175,"to_index":463,"sum":120512,"residue":555},{"from_index":463,"to_index":751,"sum":126675,"residue":677},{"from_index":751,"to_index":1039,"sum":134750,"residue":122},{"from_index":1039,"to_index":1327,"sum":127169,"residue":308},{"from_index":1327,"to_index":1615,"sum":121006,"residue":186},{"from_index":1615,"to_index":175,"sum":112068,"residue":741}],"minimal_cycle":[555,677,122,308,186,741],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":555,"start_interval_clock_positions":[175,463],"circle_positions":863,"cycle_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":[176,464,752,1040,1328,1616],"clock_positions":[176,464,752,1040,1328,1616],"native_values":[171,658,487,692,205,376],"rotation_degrees":36.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,658,487,692,205,376],"beta":{"interval_sums":[120356,126100,134331,127325,121581,112487],"interval_residues":[399,102,566,464,761,297],"display_cycle":[399,102,566,464,761,297],"intervals":[{"from_index":176,"to_index":464,"sum":120356,"residue":399},{"from_index":464,"to_index":752,"sum":126100,"residue":102},{"from_index":752,"to_index":1040,"sum":134331,"residue":566},{"from_index":1040,"to_index":1328,"sum":127325,"residue":464},{"from_index":1328,"to_index":1616,"sum":121581,"residue":761},{"from_index":1616,"to_index":176,"sum":112487,"residue":297}],"minimal_cycle":[399,102,566,464,761,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":399,"start_interval_clock_positions":[176,464],"circle_positions":863,"cycle_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":[177,465,753,1041,1329,1617],"clock_positions":[177,465,753,1041,1329,1617],"native_values":[103,673,570,760,190,293],"rotation_degrees":36.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,673,570,760,190,293],"beta":{"interval_sums":[120911,125914,134453,126770,121767,112365],"interval_residues":[91,779,688,772,84,175],"display_cycle":[91,779,688,772,84,175],"intervals":[{"from_index":177,"to_index":465,"sum":120911,"residue":91},{"from_index":465,"to_index":753,"sum":125914,"residue":779},{"from_index":753,"to_index":1041,"sum":134453,"residue":688},{"from_index":1041,"to_index":1329,"sum":126770,"residue":772},{"from_index":1329,"to_index":1617,"sum":121767,"residue":84},{"from_index":1617,"to_index":177,"sum":112365,"residue":175}],"minimal_cycle":[91,779,688,772,84,175],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[177,465],"circle_positions":863,"cycle_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":[178,466,754,1042,1330,1618],"clock_positions":[178,466,754,1042,1330,1618],"native_values":[274,468,194,589,395,669],"rotation_degrees":37.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[274,468,194,589,395,669],"beta":{"interval_sums":[121310,126016,135019,126371,121665,111799],"interval_residues":[490,18,391,373,845,472],"display_cycle":[490,18,391,373,845,472],"intervals":[{"from_index":178,"to_index":466,"sum":121310,"residue":490},{"from_index":466,"to_index":754,"sum":126016,"residue":18},{"from_index":754,"to_index":1042,"sum":135019,"residue":391},{"from_index":1042,"to_index":1330,"sum":126371,"residue":373},{"from_index":1330,"to_index":1618,"sum":121665,"residue":845},{"from_index":1618,"to_index":178,"sum":111799,"residue":472}],"minimal_cycle":[490,18,391,373,845,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[178,466],"circle_positions":863,"cycle_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":[179,467,755,1043,1331,1619],"clock_positions":[179,467,755,1043,1331,1619],"native_values":[377,278,764,486,585,99],"rotation_degrees":37.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,278,764,486,585,99],"beta":{"interval_sums":[121401,125932,134844,126280,121749,111974],"interval_residues":[581,797,216,282,66,647],"display_cycle":[581,797,216,282,66,647],"intervals":[{"from_index":179,"to_index":467,"sum":121401,"residue":581},{"from_index":467,"to_index":755,"sum":125932,"residue":797},{"from_index":755,"to_index":1043,"sum":134844,"residue":216},{"from_index":1043,"to_index":1331,"sum":126280,"residue":282},{"from_index":1331,"to_index":1619,"sum":121749,"residue":66},{"from_index":1619,"to_index":179,"sum":111974,"residue":647}],"minimal_cycle":[581,797,216,282,66,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[179,467],"circle_positions":863,"cycle_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":[180,468,756,1044,1332,1620],"clock_positions":[180,468,756,1044,1332,1620],"native_values":[651,746,95,212,117,768],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,746,95,212,117,768],"beta":{"interval_sums":[121028,125950,135235,126653,121731,111583],"interval_residues":[208,815,607,655,48,256],"display_cycle":[208,815,607,655,48,256],"intervals":[{"from_index":180,"to_index":468,"sum":121028,"residue":208},{"from_index":468,"to_index":756,"sum":125950,"residue":815},{"from_index":756,"to_index":1044,"sum":135235,"residue":607},{"from_index":1044,"to_index":1332,"sum":126653,"residue":655},{"from_index":1332,"to_index":1620,"sum":121731,"residue":48},{"from_index":1620,"to_index":180,"sum":111583,"residue":256}],"minimal_cycle":[208,815,607,655,48,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[180,468],"circle_positions":863,"cycle_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":[181,469,757,1045,1333,1621],"clock_positions":[181,469,757,1045,1333,1621],"native_values":[165,161,859,698,702,4],"rotation_degrees":37.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,161,859,698,702,4],"beta":{"interval_sums":[121609,125884,134588,126072,121797,112230],"interval_residues":[789,749,823,74,114,40],"display_cycle":[789,749,823,74,114,40],"intervals":[{"from_index":181,"to_index":469,"sum":121609,"residue":789},{"from_index":469,"to_index":757,"sum":125884,"residue":749},{"from_index":757,"to_index":1045,"sum":134588,"residue":823},{"from_index":1045,"to_index":1333,"sum":126072,"residue":74},{"from_index":1333,"to_index":1621,"sum":121797,"residue":114},{"from_index":1621,"to_index":181,"sum":112230,"residue":40}],"minimal_cycle":[789,749,823,74,114,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":789,"start_interval_clock_positions":[181,469],"circle_positions":863,"cycle_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":[182,470,758,1046,1334,1622],"clock_positions":[182,470,758,1046,1334,1622],"native_values":[816,44,91,47,819,772],"rotation_degrees":37.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[816,44,91,47,819,772],"beta":{"interval_sums":[120954,126699,135195,126727,120982,111623],"interval_residues":[134,701,567,729,162,296],"display_cycle":[134,701,567,729,162,296],"intervals":[{"from_index":182,"to_index":470,"sum":120954,"residue":134},{"from_index":470,"to_index":758,"sum":126699,"residue":701},{"from_index":758,"to_index":1046,"sum":135195,"residue":567},{"from_index":1046,"to_index":1334,"sum":126727,"residue":729},{"from_index":1334,"to_index":1622,"sum":120982,"residue":162},{"from_index":1622,"to_index":182,"sum":111623,"residue":296}],"minimal_cycle":[134,701,567,729,162,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[182,470],"circle_positions":863,"cycle_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":[183,471,759,1047,1335,1623],"clock_positions":[183,471,759,1047,1335,1623],"native_values":[118,205,87,745,658,776],"rotation_degrees":38.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[118,205,87,745,658,776],"beta":{"interval_sums":[120880,126585,135155,126801,121096,111663],"interval_residues":[60,587,527,803,276,336],"display_cycle":[60,587,527,803,276,336],"intervals":[{"from_index":183,"to_index":471,"sum":120880,"residue":60},{"from_index":471,"to_index":759,"sum":126585,"residue":587},{"from_index":759,"to_index":1047,"sum":135155,"residue":527},{"from_index":1047,"to_index":1335,"sum":126801,"residue":803},{"from_index":1335,"to_index":1623,"sum":121096,"residue":276},{"from_index":1623,"to_index":183,"sum":111663,"residue":336}],"minimal_cycle":[60,587,527,803,276,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[183,471],"circle_positions":863,"cycle_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":[184,472,760,1048,1336,1624],"clock_positions":[184,472,760,1048,1336,1624],"native_values":[71,249,178,792,614,685],"rotation_degrees":38.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,249,178,792,614,685],"beta":{"interval_sums":[121014,126423,135722,126667,121258,111096],"interval_residues":[194,425,231,669,438,632],"display_cycle":[194,425,231,669,438,632],"intervals":[{"from_index":184,"to_index":472,"sum":121014,"residue":194},{"from_index":472,"to_index":760,"sum":126423,"residue":425},{"from_index":760,"to_index":1048,"sum":135722,"residue":231},{"from_index":1048,"to_index":1336,"sum":126667,"residue":669},{"from_index":1336,"to_index":1624,"sum":121258,"residue":438},{"from_index":1624,"to_index":184,"sum":111096,"residue":632}],"minimal_cycle":[194,425,231,669,438,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[184,472],"circle_positions":863,"cycle_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":[185,473,761,1049,1337,1625],"clock_positions":[185,473,761,1049,1337,1625],"native_values":[189,454,265,674,409,598],"rotation_degrees":38.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,454,265,674,409,598],"beta":{"interval_sums":[121074,126147,136249,126607,121534,110569],"interval_residues":[254,149,758,609,714,105],"display_cycle":[254,149,758,609,714,105],"intervals":[{"from_index":185,"to_index":473,"sum":121074,"residue":254},{"from_index":473,"to_index":761,"sum":126147,"residue":149},{"from_index":761,"to_index":1049,"sum":136249,"residue":758},{"from_index":1049,"to_index":1337,"sum":126607,"residue":609},{"from_index":1337,"to_index":1625,"sum":121534,"residue":714},{"from_index":1625,"to_index":185,"sum":110569,"residue":105}],"minimal_cycle":[254,149,758,609,714,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[185,473],"circle_positions":863,"cycle_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":[186,474,762,1050,1338,1626],"clock_positions":[186,474,762,1050,1338,1626],"native_values":[260,703,443,603,160,420],"rotation_degrees":38.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,703,443,603,160,420],"beta":{"interval_sums":[121268,125709,136480,126413,121972,110338],"interval_residues":[448,574,126,415,289,737],"display_cycle":[448,574,126,415,289,737],"intervals":[{"from_index":186,"to_index":474,"sum":121268,"residue":448},{"from_index":474,"to_index":762,"sum":125709,"residue":574},{"from_index":762,"to_index":1050,"sum":136480,"residue":126},{"from_index":1050,"to_index":1338,"sum":126413,"residue":415},{"from_index":1338,"to_index":1626,"sum":121972,"residue":289},{"from_index":1626,"to_index":186,"sum":110338,"residue":737}],"minimal_cycle":[448,574,126,415,289,737],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[186,474],"circle_positions":863,"cycle_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":[187,475,763,1051,1339,1627],"clock_positions":[187,475,763,1051,1339,1627],"native_values":[449,294,708,414,569,155],"rotation_degrees":38.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,294,708,414,569,155],"beta":{"interval_sums":[121522,125858,136375,126159,121823,110443],"interval_residues":[702,723,21,161,140,842],"display_cycle":[702,723,21,161,140,842],"intervals":[{"from_index":187,"to_index":475,"sum":121522,"residue":702},{"from_index":475,"to_index":763,"sum":125858,"residue":723},{"from_index":763,"to_index":1051,"sum":136375,"residue":21},{"from_index":1051,"to_index":1339,"sum":126159,"residue":161},{"from_index":1339,"to_index":1627,"sum":121823,"residue":140},{"from_index":1627,"to_index":187,"sum":110443,"residue":842}],"minimal_cycle":[702,723,21,161,140,842],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[187,475],"circle_positions":863,"cycle_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":[188,476,764,1052,1340,1628],"clock_positions":[188,476,764,1052,1340,1628],"native_values":[709,134,288,154,729,575],"rotation_degrees":39.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,134,288,154,729,575],"beta":{"interval_sums":[121107,126432,136501,126574,121249,110317],"interval_residues":[287,434,147,576,429,716],"display_cycle":[287,434,147,576,429,716],"intervals":[{"from_index":188,"to_index":476,"sum":121107,"residue":287},{"from_index":476,"to_index":764,"sum":126432,"residue":434},{"from_index":764,"to_index":1052,"sum":136501,"residue":147},{"from_index":1052,"to_index":1340,"sum":126574,"residue":576},{"from_index":1340,"to_index":1628,"sum":121249,"residue":429},{"from_index":1628,"to_index":188,"sum":110317,"residue":716}],"minimal_cycle":[287,434,147,576,429,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[188,476],"circle_positions":863,"cycle_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":[189,477,765,1053,1341,1629],"clock_positions":[189,477,765,1053,1341,1629],"native_values":[295,428,133,568,435,730],"rotation_degrees":39.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,428,133,568,435,730],"beta":{"interval_sums":[120946,126292,136522,126735,121389,110296],"interval_residues":[126,294,168,737,569,695],"display_cycle":[126,294,168,737,569,695],"intervals":[{"from_index":189,"to_index":477,"sum":120946,"residue":126},{"from_index":477,"to_index":765,"sum":126292,"residue":294},{"from_index":765,"to_index":1053,"sum":136522,"residue":168},{"from_index":1053,"to_index":1341,"sum":126735,"residue":737},{"from_index":1341,"to_index":1629,"sum":121389,"residue":569},{"from_index":1629,"to_index":189,"sum":110296,"residue":695}],"minimal_cycle":[126,294,168,737,569,695],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[189,477],"circle_positions":863,"cycle_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":[190,478,766,1054,1342,1630],"clock_positions":[190,478,766,1054,1342,1630],"native_values":[141,562,421,722,301,442],"rotation_degrees":39.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,562,421,722,301,442],"beta":{"interval_sums":[121233,125863,136669,126448,121818,110149],"interval_residues":[413,728,315,450,135,548],"display_cycle":[413,728,315,450,135,548],"intervals":[{"from_index":190,"to_index":478,"sum":121233,"residue":413},{"from_index":478,"to_index":766,"sum":125863,"residue":728},{"from_index":766,"to_index":1054,"sum":136669,"residue":315},{"from_index":1054,"to_index":1342,"sum":126448,"residue":450},{"from_index":1342,"to_index":1630,"sum":121818,"residue":135},{"from_index":1630,"to_index":190,"sum":110149,"residue":548}],"minimal_cycle":[413,728,315,450,135,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[190,478],"circle_positions":863,"cycle_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":[191,479,767,1055,1343,1631],"clock_positions":[191,479,767,1055,1343,1631],"native_values":[436,127,554,427,736,309],"rotation_degrees":39.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,127,554,427,736,309],"beta":{"interval_sums":[121359,126157,136837,126322,121524,109981],"interval_residues":[539,159,483,324,704,380],"display_cycle":[539,159,483,324,704,380],"intervals":[{"from_index":191,"to_index":479,"sum":121359,"residue":539},{"from_index":479,"to_index":767,"sum":126157,"residue":159},{"from_index":767,"to_index":1055,"sum":136837,"residue":483},{"from_index":1055,"to_index":1343,"sum":126322,"residue":324},{"from_index":1343,"to_index":1631,"sum":121524,"residue":704},{"from_index":1631,"to_index":191,"sum":109981,"residue":380}],"minimal_cycle":[539,159,483,324,704,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[191,479],"circle_positions":863,"cycle_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":[192,480,768,1056,1344,1632],"clock_positions":[192,480,768,1056,1344,1632],"native_values":[577,689,112,286,174,751],"rotation_degrees":40.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,689,112,286,174,751],"beta":{"interval_sums":[120909,126022,137152,126772,121659,109666],"interval_residues":[89,24,798,774,839,65],"display_cycle":[89,24,798,774,839,65],"intervals":[{"from_index":192,"to_index":480,"sum":120909,"residue":89},{"from_index":480,"to_index":768,"sum":126022,"residue":24},{"from_index":768,"to_index":1056,"sum":137152,"residue":798},{"from_index":1056,"to_index":1344,"sum":126772,"residue":774},{"from_index":1344,"to_index":1632,"sum":121659,"residue":839},{"from_index":1632,"to_index":192,"sum":109666,"residue":65}],"minimal_cycle":[89,24,798,774,839,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[192,480],"circle_positions":863,"cycle_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":[193,481,769,1057,1345,1633],"clock_positions":[193,481,769,1057,1345,1633],"native_values":[150,816,666,713,47,197],"rotation_degrees":40.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,816,666,713,47,197],"beta":{"interval_sums":[121448,125318,136772,126233,122363,110046],"interval_residues":[628,183,418,235,680,445],"display_cycle":[628,183,418,235,680,445],"intervals":[{"from_index":193,"to_index":481,"sum":121448,"residue":628},{"from_index":481,"to_index":769,"sum":125318,"residue":183},{"from_index":769,"to_index":1057,"sum":136772,"residue":418},{"from_index":1057,"to_index":1345,"sum":126233,"residue":235},{"from_index":1345,"to_index":1633,"sum":122363,"residue":680},{"from_index":1633,"to_index":193,"sum":110046,"residue":445}],"minimal_cycle":[628,183,418,235,680,445],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[193,481],"circle_positions":863,"cycle_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":[194,482,770,1058,1346,1634],"clock_positions":[194,482,770,1058,1346,1634],"native_values":[727,642,778,136,221,85],"rotation_degrees":40.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,642,778,136,221,85],"beta":{"interval_sums":[121537,125342,136707,126144,122339,110111],"interval_residues":[717,207,353,146,656,510],"display_cycle":[717,207,353,146,656,510],"intervals":[{"from_index":194,"to_index":482,"sum":121537,"residue":717},{"from_index":482,"to_index":770,"sum":125342,"residue":207},{"from_index":770,"to_index":1058,"sum":136707,"residue":353},{"from_index":1058,"to_index":1346,"sum":126144,"residue":146},{"from_index":1346,"to_index":1634,"sum":122339,"residue":656},{"from_index":1634,"to_index":194,"sum":110111,"residue":510}],"minimal_cycle":[717,207,353,146,656,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[194,482],"circle_positions":863,"cycle_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":[195,483,771,1059,1347,1635],"clock_positions":[195,483,771,1059,1347,1635],"native_values":[14,595,581,849,268,282],"rotation_degrees":40.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,595,581,849,268,282],"beta":{"interval_sums":[122165,125525,136262,125516,122156,110556],"interval_residues":[482,390,771,381,473,92],"display_cycle":[482,390,771,381,473,92],"intervals":[{"from_index":195,"to_index":483,"sum":122165,"residue":482},{"from_index":483,"to_index":771,"sum":125525,"residue":390},{"from_index":771,"to_index":1059,"sum":136262,"residue":771},{"from_index":1059,"to_index":1347,"sum":125516,"residue":381},{"from_index":1347,"to_index":1635,"sum":122156,"residue":473},{"from_index":1635,"to_index":195,"sum":110556,"residue":92}],"minimal_cycle":[482,390,771,381,473,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[195,483],"circle_positions":863,"cycle_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":[196,484,772,1060,1348,1636],"clock_positions":[196,484,772,1060,1348,1636],"native_values":[741,374,496,122,489,367],"rotation_degrees":40.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,374,496,122,489,367],"beta":{"interval_sums":[122019,125732,136615,125662,121949,110203],"interval_residues":[336,597,261,527,266,602],"display_cycle":[336,597,261,527,266,602],"intervals":[{"from_index":196,"to_index":484,"sum":122019,"residue":336},{"from_index":484,"to_index":772,"sum":125732,"residue":597},{"from_index":772,"to_index":1060,"sum":136615,"residue":261},{"from_index":1060,"to_index":1348,"sum":125662,"residue":527},{"from_index":1348,"to_index":1636,"sum":121949,"residue":266},{"from_index":1636,"to_index":196,"sum":110203,"residue":602}],"minimal_cycle":[336,597,261,527,266,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[196,484],"circle_positions":863,"cycle_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":[197,485,773,1061,1349,1637],"clock_positions":[197,485,773,1061,1349,1637],"native_values":[755,106,214,108,757,649],"rotation_degrees":41.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[755,106,214,108,757,649],"beta":{"interval_sums":[121638,126122,136523,126043,121559,110295],"interval_residues":[818,124,169,45,739,694],"display_cycle":[818,124,169,45,739,694],"intervals":[{"from_index":197,"to_index":485,"sum":121638,"residue":818},{"from_index":485,"to_index":773,"sum":126122,"residue":124},{"from_index":773,"to_index":1061,"sum":136523,"residue":169},{"from_index":1061,"to_index":1349,"sum":126043,"residue":45},{"from_index":1349,"to_index":1637,"sum":121559,"residue":739},{"from_index":1637,"to_index":197,"sum":110295,"residue":694}],"minimal_cycle":[818,124,169,45,739,694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":818,"start_interval_clock_positions":[197,485],"circle_positions":863,"cycle_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":[198,486,774,1062,1350,1638],"clock_positions":[198,486,774,1062,1350,1638],"native_values":[633,480,710,230,383,153],"rotation_degrees":41.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,480,710,230,383,153],"beta":{"interval_sums":[121111,125856,135921,126570,121825,110897],"interval_residues":[291,721,430,572,142,433],"display_cycle":[291,721,430,572,142,433],"intervals":[{"from_index":198,"to_index":486,"sum":121111,"residue":291},{"from_index":486,"to_index":774,"sum":125856,"residue":721},{"from_index":774,"to_index":1062,"sum":135921,"residue":430},{"from_index":1062,"to_index":1350,"sum":126570,"residue":572},{"from_index":1350,"to_index":1638,"sum":121825,"residue":142},{"from_index":1638,"to_index":198,"sum":110897,"residue":433}],"minimal_cycle":[291,721,430,572,142,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[198,486],"circle_positions":863,"cycle_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":[199,487,775,1063,1351,1639],"clock_positions":[199,487,775,1063,1351,1639],"native_values":[525,586,61,338,277,802],"rotation_degrees":41.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,586,61,338,277,802],"beta":{"interval_sums":[121066,125980,136090,126615,121701,110728],"interval_residues":[246,845,599,617,18,264],"display_cycle":[246,845,599,617,18,264],"intervals":[{"from_index":199,"to_index":487,"sum":121066,"residue":246},{"from_index":487,"to_index":775,"sum":125980,"residue":845},{"from_index":775,"to_index":1063,"sum":136090,"residue":599},{"from_index":1063,"to_index":1351,"sum":126615,"residue":617},{"from_index":1351,"to_index":1639,"sum":121701,"residue":18},{"from_index":1639,"to_index":199,"sum":110728,"residue":264}],"minimal_cycle":[246,845,599,617,18,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[199,487],"circle_positions":863,"cycle_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":[200,488,776,1064,1352,1640],"clock_positions":[200,488,776,1064,1352,1640],"native_values":[295,203,771,568,660,92],"rotation_degrees":41.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,203,771,568,660,92],"beta":{"interval_sums":[121357,125838,135657,126324,121843,111161],"interval_residues":[537,703,166,326,160,697],"display_cycle":[537,703,166,326,160,697],"intervals":[{"from_index":200,"to_index":488,"sum":121357,"residue":537},{"from_index":488,"to_index":776,"sum":125838,"residue":703},{"from_index":776,"to_index":1064,"sum":135657,"residue":166},{"from_index":1064,"to_index":1352,"sum":126324,"residue":326},{"from_index":1352,"to_index":1640,"sum":121843,"residue":160},{"from_index":1640,"to_index":200,"sum":111161,"residue":697}],"minimal_cycle":[537,703,166,326,160,697],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[200,488],"circle_positions":863,"cycle_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":[201,489,777,1065,1353,1641],"clock_positions":[201,489,777,1065,1353,1641],"native_values":[820,789,832,43,74,31],"rotation_degrees":41.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[820,789,832,43,74,31],"beta":{"interval_sums":[120740,125820,135393,126941,121861,111425],"interval_residues":[783,685,765,80,178,98],"display_cycle":[783,685,765,80,178,98],"intervals":[{"from_index":201,"to_index":489,"sum":120740,"residue":783},{"from_index":489,"to_index":777,"sum":125820,"residue":685},{"from_index":777,"to_index":1065,"sum":135393,"residue":765},{"from_index":1065,"to_index":1353,"sum":126941,"residue":80},{"from_index":1353,"to_index":1641,"sum":121861,"residue":178},{"from_index":1641,"to_index":201,"sum":111425,"residue":98}],"minimal_cycle":[783,685,765,80,178,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":783,"start_interval_clock_positions":[201,489],"circle_positions":863,"cycle_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":[202,490,778,1066,1354,1642],"clock_positions":[202,490,778,1066,1354,1642],"native_values":[252,129,740,611,734,123],"rotation_degrees":42.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,129,740,611,734,123],"beta":{"interval_sums":[121277,126523,134696,126404,121158,112122],"interval_residues":[457,525,68,406,338,795],"display_cycle":[457,525,68,406,338,795],"intervals":[{"from_index":202,"to_index":490,"sum":121277,"residue":457},{"from_index":490,"to_index":778,"sum":126523,"residue":525},{"from_index":778,"to_index":1066,"sum":134696,"residue":68},{"from_index":1066,"to_index":1354,"sum":126404,"residue":406},{"from_index":1354,"to_index":1642,"sum":121158,"residue":338},{"from_index":1642,"to_index":202,"sum":112122,"residue":795}],"minimal_cycle":[457,525,68,406,338,795],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[202,490],"circle_positions":863,"cycle_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":[203,491,779,1067,1355,1643],"clock_positions":[203,491,779,1067,1355,1643],"native_values":[209,55,709,654,808,154],"rotation_degrees":42.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,55,709,654,808,154],"beta":{"interval_sums":[121197,127208,134598,126484,120473,112220],"interval_residues":[377,347,833,486,516,30],"display_cycle":[377,347,833,486,516,30],"intervals":[{"from_index":203,"to_index":491,"sum":121197,"residue":377},{"from_index":491,"to_index":779,"sum":127208,"residue":347},{"from_index":779,"to_index":1067,"sum":134598,"residue":833},{"from_index":1067,"to_index":1355,"sum":126484,"residue":486},{"from_index":1355,"to_index":1643,"sum":120473,"residue":516},{"from_index":1643,"to_index":203,"sum":112220,"residue":30}],"minimal_cycle":[377,347,833,486,516,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[203,491],"circle_positions":863,"cycle_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":[204,492,780,1068,1356,1644],"clock_positions":[204,492,780,1068,1356,1644],"native_values":[461,184,586,402,679,277],"rotation_degrees":42.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,184,586,402,679,277],"beta":{"interval_sums":[120791,127733,134666,126890,119948,112152],"interval_residues":[834,9,38,29,854,825],"display_cycle":[834,9,38,29,854,825],"intervals":[{"from_index":204,"to_index":492,"sum":120791,"residue":834},{"from_index":492,"to_index":780,"sum":127733,"residue":9},{"from_index":780,"to_index":1068,"sum":134666,"residue":38},{"from_index":1068,"to_index":1356,"sum":126890,"residue":29},{"from_index":1356,"to_index":1644,"sum":119948,"residue":854},{"from_index":1644,"to_index":204,"sum":112152,"residue":825}],"minimal_cycle":[834,9,38,29,854,825],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":834,"start_interval_clock_positions":[204,492],"circle_positions":863,"cycle_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":[205,493,781,1069,1357,1645],"clock_positions":[205,493,781,1069,1357,1645],"native_values":[670,239,432,193,624,431],"rotation_degrees":42.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[670,239,432,193,624,431],"beta":{"interval_sums":[120305,128080,134636,127376,119601,112182],"interval_residues":[348,356,8,515,507,855],"display_cycle":[348,356,8,515,507,855],"intervals":[{"from_index":205,"to_index":493,"sum":120305,"residue":348},{"from_index":493,"to_index":781,"sum":128080,"residue":356},{"from_index":781,"to_index":1069,"sum":134636,"residue":8},{"from_index":1069,"to_index":1357,"sum":127376,"residue":515},{"from_index":1357,"to_index":1645,"sum":119601,"residue":507},{"from_index":1645,"to_index":205,"sum":112182,"residue":855}],"minimal_cycle":[348,356,8,515,507,855],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[205,493],"circle_positions":863,"cycle_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":[206,494,782,1070,1358,1646],"clock_positions":[206,494,782,1070,1358,1646],"native_values":[268,423,155,595,440,708],"rotation_degrees":42.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,423,155,595,440,708],"beta":{"interval_sums":[120276,128089,134674,127405,119592,112144],"interval_residues":[319,365,46,544,498,817],"display_cycle":[319,365,46,544,498,817],"intervals":[{"from_index":206,"to_index":494,"sum":120276,"residue":319},{"from_index":494,"to_index":782,"sum":128089,"residue":365},{"from_index":782,"to_index":1070,"sum":134674,"residue":46},{"from_index":1070,"to_index":1358,"sum":127405,"residue":544},{"from_index":1358,"to_index":1646,"sum":119592,"residue":498},{"from_index":1646,"to_index":206,"sum":112144,"residue":817}],"minimal_cycle":[319,365,46,544,498,817],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[206,494],"circle_positions":863,"cycle_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":[207,495,783,1071,1359,1647],"clock_positions":[207,495,783,1071,1359,1647],"native_values":[75,662,587,788,201,276],"rotation_degrees":43.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,662,587,788,201,276],"beta":{"interval_sums":[120624,127582,134682,127057,120099,112136],"interval_residues":[667,721,54,196,142,809],"display_cycle":[667,721,54,196,142,809],"intervals":[{"from_index":207,"to_index":495,"sum":120624,"residue":667},{"from_index":495,"to_index":783,"sum":127582,"residue":721},{"from_index":783,"to_index":1071,"sum":134682,"residue":54},{"from_index":1071,"to_index":1359,"sum":127057,"residue":196},{"from_index":1359,"to_index":1647,"sum":120099,"residue":142},{"from_index":1647,"to_index":207,"sum":112136,"residue":809}],"minimal_cycle":[667,721,54,196,142,809],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":667,"start_interval_clock_positions":[207,495],"circle_positions":863,"cycle_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":[208,496,784,1072,1360,1648],"clock_positions":[208,496,784,1072,1360,1648],"native_values":[343,222,742,520,641,121],"rotation_degrees":43.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,222,742,520,641,121],"beta":{"interval_sums":[120943,127947,134728,126738,119734,112090],"interval_residues":[123,223,100,740,640,763],"display_cycle":[123,223,100,740,640,763],"intervals":[{"from_index":208,"to_index":496,"sum":120943,"residue":123},{"from_index":496,"to_index":784,"sum":127947,"residue":223},{"from_index":784,"to_index":1072,"sum":134728,"residue":100},{"from_index":1072,"to_index":1360,"sum":126738,"residue":740},{"from_index":1360,"to_index":1648,"sum":119734,"residue":640},{"from_index":1648,"to_index":208,"sum":112090,"residue":763}],"minimal_cycle":[123,223,100,740,640,763],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[208,496],"circle_positions":863,"cycle_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":[209,497,785,1073,1361,1649],"clock_positions":[209,497,785,1073,1361,1649],"native_values":[418,21,466,445,842,397],"rotation_degrees":43.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,21,466,445,842,397],"beta":{"interval_sums":[120747,128668,134782,126934,119013,112036],"interval_residues":[790,81,154,73,782,709],"display_cycle":[790,81,154,73,782,709],"intervals":[{"from_index":209,"to_index":497,"sum":120747,"residue":790},{"from_index":497,"to_index":785,"sum":128668,"residue":81},{"from_index":785,"to_index":1073,"sum":134782,"residue":154},{"from_index":1073,"to_index":1361,"sum":126934,"residue":73},{"from_index":1361,"to_index":1649,"sum":119013,"residue":782},{"from_index":1649,"to_index":209,"sum":112036,"residue":709}],"minimal_cycle":[790,81,154,73,782,709],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[209,497],"circle_positions":863,"cycle_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":[210,498,786,1074,1362,1650],"clock_positions":[210,498,786,1074,1362,1650],"native_values":[761,243,345,102,620,518],"rotation_degrees":43.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[761,243,345,102,620,518],"beta":{"interval_sums":[120007,128891,134882,127674,118790,111936],"interval_residues":[50,304,254,813,559,609],"display_cycle":[50,304,254,813,559,609],"intervals":[{"from_index":210,"to_index":498,"sum":120007,"residue":50},{"from_index":498,"to_index":786,"sum":128891,"residue":304},{"from_index":786,"to_index":1074,"sum":134882,"residue":254},{"from_index":1074,"to_index":1362,"sum":127674,"residue":813},{"from_index":1362,"to_index":1650,"sum":118790,"residue":559},{"from_index":1650,"to_index":210,"sum":111936,"residue":609}],"minimal_cycle":[50,304,254,813,559,609],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[210,498],"circle_positions":863,"cycle_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":[211,499,787,1075,1363,1651],"clock_positions":[211,499,787,1075,1363,1651],"native_values":[316,264,811,547,599,52],"rotation_degrees":43.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,264,811,547,599,52],"beta":{"interval_sums":[119934,128972,134173,127747,118709,112645],"interval_residues":[840,385,408,23,478,455],"display_cycle":[840,385,408,23,478,455],"intervals":[{"from_index":211,"to_index":499,"sum":119934,"residue":840},{"from_index":499,"to_index":787,"sum":128972,"residue":385},{"from_index":787,"to_index":1075,"sum":134173,"residue":408},{"from_index":1075,"to_index":1363,"sum":127747,"residue":23},{"from_index":1363,"to_index":1651,"sum":118709,"residue":478},{"from_index":1651,"to_index":211,"sum":112645,"residue":455}],"minimal_cycle":[840,385,408,23,478,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":840,"start_interval_clock_positions":[211,499],"circle_positions":863,"cycle_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":[212,500,788,1076,1364,1652],"clock_positions":[212,500,788,1076,1364,1652],"native_values":[214,507,293,649,356,570],"rotation_degrees":44.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,507,293,649,356,570],"beta":{"interval_sums":[119984,129276,134427,127697,118405,112391],"interval_residues":[27,689,662,836,174,201],"display_cycle":[27,689,662,836,174,201],"intervals":[{"from_index":212,"to_index":500,"sum":119984,"residue":27},{"from_index":500,"to_index":788,"sum":129276,"residue":689},{"from_index":788,"to_index":1076,"sum":134427,"residue":662},{"from_index":1076,"to_index":1364,"sum":127697,"residue":836},{"from_index":1364,"to_index":1652,"sum":118405,"residue":174},{"from_index":1652,"to_index":212,"sum":112391,"residue":201}],"minimal_cycle":[27,689,662,836,174,201],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[212,500],"circle_positions":863,"cycle_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":[213,501,789,1077,1365,1653],"clock_positions":[213,501,789,1077,1365,1653],"native_values":[530,771,241,333,92,622],"rotation_degrees":44.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,771,241,333,92,622],"beta":{"interval_sums":[119961,128798,134835,127720,118883,111983],"interval_residues":[4,211,207,859,652,656],"display_cycle":[4,211,207,859,652,656],"intervals":[{"from_index":213,"to_index":501,"sum":119961,"residue":4},{"from_index":501,"to_index":789,"sum":128798,"residue":211},{"from_index":789,"to_index":1077,"sum":134835,"residue":207},{"from_index":1077,"to_index":1365,"sum":127720,"residue":859},{"from_index":1365,"to_index":1653,"sum":118883,"residue":652},{"from_index":1653,"to_index":213,"sum":111983,"residue":656}],"minimal_cycle":[4,211,207,859,652,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[213,501],"circle_positions":863,"cycle_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":[214,502,790,1078,1366,1654],"clock_positions":[214,502,790,1078,1366,1654],"native_values":[744,415,534,119,448,329],"rotation_degrees":44.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,415,534,119,448,329],"beta":{"interval_sums":[119988,128624,134634,127693,119057,112184],"interval_residues":[31,37,6,832,826,857],"display_cycle":[31,37,6,832,826,857],"intervals":[{"from_index":214,"to_index":502,"sum":119988,"residue":31},{"from_index":502,"to_index":790,"sum":128624,"residue":37},{"from_index":790,"to_index":1078,"sum":134634,"residue":6},{"from_index":1078,"to_index":1366,"sum":127693,"residue":832},{"from_index":1366,"to_index":1654,"sum":119057,"residue":826},{"from_index":1654,"to_index":214,"sum":112184,"residue":857}],"minimal_cycle":[31,37,6,832,826,857],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[214,502],"circle_positions":863,"cycle_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":[215,503,791,1079,1367,1655],"clock_positions":[215,503,791,1079,1367,1655],"native_values":[411,323,775,452,540,88],"rotation_degrees":44.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,323,775,452,540,88],"beta":{"interval_sums":[119992,128835,133978,127689,118846,112840],"interval_residues":[35,248,213,828,615,650],"display_cycle":[35,248,213,828,615,650],"intervals":[{"from_index":215,"to_index":503,"sum":119992,"residue":35},{"from_index":503,"to_index":791,"sum":128835,"residue":248},{"from_index":791,"to_index":1079,"sum":133978,"residue":213},{"from_index":1079,"to_index":1367,"sum":127689,"residue":828},{"from_index":1367,"to_index":1655,"sum":118846,"residue":615},{"from_index":1655,"to_index":215,"sum":112840,"residue":650}],"minimal_cycle":[35,248,213,828,615,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[215,503],"circle_positions":863,"cycle_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":[216,504,792,1080,1368,1656],"clock_positions":[216,504,792,1080,1368,1656],"native_values":[292,738,446,571,125,417],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,738,446,571,125,417],"beta":{"interval_sums":[120023,128872,133984,127658,118809,112834],"interval_residues":[66,285,219,797,578,644],"display_cycle":[66,285,219,797,578,644],"intervals":[{"from_index":216,"to_index":504,"sum":120023,"residue":66},{"from_index":504,"to_index":792,"sum":128872,"residue":285},{"from_index":792,"to_index":1080,"sum":133984,"residue":219},{"from_index":1080,"to_index":1368,"sum":127658,"residue":797},{"from_index":1368,"to_index":1656,"sum":118809,"residue":578},{"from_index":1656,"to_index":216,"sum":112834,"residue":644}],"minimal_cycle":[66,285,219,797,578,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[216,504],"circle_positions":863,"cycle_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":[217,505,793,1081,1369,1657],"clock_positions":[217,505,793,1081,1369,1657],"native_values":[703,198,358,160,665,505],"rotation_degrees":45.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,198,358,160,665,505],"beta":{"interval_sums":[120058,129120,134197,127623,118561,112621],"interval_residues":[101,533,432,762,330,431],"display_cycle":[101,533,432,762,330,431],"intervals":[{"from_index":217,"to_index":505,"sum":120058,"residue":101},{"from_index":505,"to_index":793,"sum":129120,"residue":533},{"from_index":793,"to_index":1081,"sum":134197,"residue":432},{"from_index":1081,"to_index":1369,"sum":127623,"residue":762},{"from_index":1369,"to_index":1657,"sum":118561,"residue":330},{"from_index":1657,"to_index":217,"sum":112621,"residue":431}],"minimal_cycle":[101,533,432,762,330,431],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[217,505],"circle_positions":863,"cycle_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":[218,506,794,1082,1370,1658],"clock_positions":[218,506,794,1082,1370,1658],"native_values":[132,73,804,731,790,59],"rotation_degrees":45.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,73,804,731,790,59],"beta":{"interval_sums":[120124,129405,133553,127557,118276,113265],"interval_residues":[167,818,651,696,45,212],"display_cycle":[167,818,651,696,45,212],"intervals":[{"from_index":218,"to_index":506,"sum":120124,"residue":167},{"from_index":506,"to_index":794,"sum":129405,"residue":818},{"from_index":794,"to_index":1082,"sum":133553,"residue":651},{"from_index":1082,"to_index":1370,"sum":127557,"residue":696},{"from_index":1370,"to_index":1658,"sum":118276,"residue":45},{"from_index":1658,"to_index":218,"sum":113265,"residue":212}],"minimal_cycle":[167,818,651,696,45,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[218,506],"circle_positions":863,"cycle_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":[219,507,795,1083,1371,1659],"clock_positions":[219,507,795,1083,1371,1659],"native_values":[835,271,299,28,592,564],"rotation_degrees":45.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[835,271,299,28,592,564],"beta":{"interval_sums":[119362,129938,133985,128319,117743,112833],"interval_residues":[268,488,220,595,375,643],"display_cycle":[268,488,220,595,375,643],"intervals":[{"from_index":219,"to_index":507,"sum":119362,"residue":268},{"from_index":507,"to_index":795,"sum":129938,"residue":488},{"from_index":795,"to_index":1083,"sum":133985,"residue":220},{"from_index":1083,"to_index":1371,"sum":128319,"residue":595},{"from_index":1371,"to_index":1659,"sum":117743,"residue":375},{"from_index":1659,"to_index":219,"sum":112833,"residue":643}],"minimal_cycle":[268,488,220,595,375,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[219,507],"circle_positions":863,"cycle_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":[220,508,796,1084,1372,1660],"clock_positions":[220,508,796,1084,1372,1660],"native_values":[104,344,240,759,519,623],"rotation_degrees":45.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,344,240,759,519,623],"beta":{"interval_sums":[119529,129893,133773,128152,117788,113045],"interval_residues":[435,443,8,428,420,855],"display_cycle":[435,443,8,428,420,855],"intervals":[{"from_index":220,"to_index":508,"sum":119529,"residue":435},{"from_index":508,"to_index":796,"sum":129893,"residue":443},{"from_index":796,"to_index":1084,"sum":133773,"residue":8},{"from_index":1084,"to_index":1372,"sum":128152,"residue":428},{"from_index":1372,"to_index":1660,"sum":117788,"residue":420},{"from_index":1660,"to_index":220,"sum":113045,"residue":855}],"minimal_cycle":[435,443,8,428,420,855],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[220,508],"circle_positions":863,"cycle_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":[221,509,797,1085,1373,1661],"clock_positions":[221,509,797,1085,1373,1661],"native_values":[76,615,539,787,248,324],"rotation_degrees":46.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,615,539,787,248,324],"beta":{"interval_sums":[119797,129518,133993,127884,118163,112825],"interval_residues":[703,68,228,160,795,635],"display_cycle":[703,68,228,160,795,635],"intervals":[{"from_index":221,"to_index":509,"sum":119797,"residue":703},{"from_index":509,"to_index":797,"sum":129518,"residue":68},{"from_index":797,"to_index":1085,"sum":133993,"residue":228},{"from_index":1085,"to_index":1373,"sum":127884,"residue":160},{"from_index":1373,"to_index":1661,"sum":118163,"residue":795},{"from_index":1661,"to_index":221,"sum":112825,"residue":635}],"minimal_cycle":[703,68,228,160,795,635],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":703,"start_interval_clock_positions":[221,509],"circle_positions":863,"cycle_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":[222,510,798,1086,1374,1662],"clock_positions":[222,510,798,1086,1374,1662],"native_values":[180,96,779,683,767,84],"rotation_degrees":46.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,96,779,683,767,84],"beta":{"interval_sums":[120232,129961,134001,127449,117720,112817],"interval_residues":[275,511,236,588,352,627],"display_cycle":[275,511,236,588,352,627],"intervals":[{"from_index":222,"to_index":510,"sum":120232,"residue":275},{"from_index":510,"to_index":798,"sum":129961,"residue":511},{"from_index":798,"to_index":1086,"sum":134001,"residue":236},{"from_index":1086,"to_index":1374,"sum":127449,"residue":588},{"from_index":1374,"to_index":1662,"sum":117720,"residue":352},{"from_index":1662,"to_index":222,"sum":112817,"residue":627}],"minimal_cycle":[275,511,236,588,352,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[222,510],"circle_positions":863,"cycle_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":[223,511,799,1087,1375,1663],"clock_positions":[223,511,799,1087,1375,1663],"native_values":[256,711,455,607,152,408],"rotation_degrees":46.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,711,455,607,152,408],"beta":{"interval_sums":[120072,130029,134229,127609,117652,112589],"interval_residues":[115,579,464,748,284,399],"display_cycle":[115,579,464,748,284,399],"intervals":[{"from_index":223,"to_index":511,"sum":120072,"residue":115},{"from_index":511,"to_index":799,"sum":130029,"residue":579},{"from_index":799,"to_index":1087,"sum":134229,"residue":464},{"from_index":1087,"to_index":1375,"sum":127609,"residue":748},{"from_index":1375,"to_index":1663,"sum":117652,"residue":284},{"from_index":1663,"to_index":223,"sum":112589,"residue":399}],"minimal_cycle":[115,579,464,748,284,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":115,"start_interval_clock_positions":[223,511],"circle_positions":863,"cycle_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":[224,512,800,1088,1376,1664],"clock_positions":[224,512,800,1088,1376,1664],"native_values":[436,807,371,427,56,492],"rotation_degrees":46.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,807,371,427,56,492],"beta":{"interval_sums":[120347,129677,134465,127334,118004,112353],"interval_residues":[390,227,700,473,636,163],"display_cycle":[390,227,700,473,636,163],"intervals":[{"from_index":224,"to_index":512,"sum":120347,"residue":390},{"from_index":512,"to_index":800,"sum":129677,"residue":227},{"from_index":800,"to_index":1088,"sum":134465,"residue":700},{"from_index":1088,"to_index":1376,"sum":127334,"residue":473},{"from_index":1376,"to_index":1664,"sum":118004,"residue":636},{"from_index":1664,"to_index":224,"sum":112353,"residue":163}],"minimal_cycle":[390,227,700,473,636,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[224,512],"circle_positions":863,"cycle_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":[225,513,801,1089,1377,1665],"clock_positions":[225,513,801,1089,1377,1665],"native_values":[692,655,826,171,208,37],"rotation_degrees":46.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[692,655,826,171,208,37],"beta":{"interval_sums":[120462,129393,134066,127219,118288,112752],"interval_residues":[505,806,301,358,57,562],"display_cycle":[505,806,301,358,57,562],"intervals":[{"from_index":225,"to_index":513,"sum":120462,"residue":505},{"from_index":513,"to_index":801,"sum":129393,"residue":806},{"from_index":801,"to_index":1089,"sum":134066,"residue":301},{"from_index":1089,"to_index":1377,"sum":127219,"residue":358},{"from_index":1377,"to_index":1665,"sum":118288,"residue":57},{"from_index":1665,"to_index":225,"sum":112752,"residue":562}],"minimal_cycle":[505,806,301,358,57,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[225,513],"circle_positions":863,"cycle_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":[226,514,802,1090,1378,1666],"clock_positions":[226,514,802,1090,1378,1666],"native_values":[265,599,334,598,264,529],"rotation_degrees":47.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,599,334,598,264,529],"beta":{"interval_sums":[120852,129620,133903,126829,118061,112915],"interval_residues":[32,170,138,831,693,725],"display_cycle":[32,170,138,831,693,725],"intervals":[{"from_index":226,"to_index":514,"sum":120852,"residue":32},{"from_index":514,"to_index":802,"sum":129620,"residue":170},{"from_index":802,"to_index":1090,"sum":133903,"residue":138},{"from_index":1090,"to_index":1378,"sum":126829,"residue":831},{"from_index":1378,"to_index":1666,"sum":118061,"residue":693},{"from_index":1666,"to_index":226,"sum":112915,"residue":725}],"minimal_cycle":[32,170,138,831,693,725],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[226,514],"circle_positions":863,"cycle_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":[227,515,803,1091,1379,1667],"clock_positions":[227,515,803,1091,1379,1667],"native_values":[94,391,297,769,472,566],"rotation_degrees":47.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[94,391,297,769,472,566],"beta":{"interval_sums":[121357,129563,134204,126324,118118,112614],"interval_residues":[537,113,439,326,750,424],"display_cycle":[537,113,439,326,750,424],"intervals":[{"from_index":227,"to_index":515,"sum":121357,"residue":537},{"from_index":515,"to_index":803,"sum":129563,"residue":113},{"from_index":803,"to_index":1091,"sum":134204,"residue":439},{"from_index":1091,"to_index":1379,"sum":126324,"residue":326},{"from_index":1379,"to_index":1667,"sum":118118,"residue":750},{"from_index":1667,"to_index":227,"sum":112614,"residue":424}],"minimal_cycle":[537,113,439,326,750,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[227,515],"circle_positions":863,"cycle_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":[228,516,804,1092,1380,1668],"clock_positions":[228,516,804,1092,1380,1668],"native_values":[359,127,631,504,736,232],"rotation_degrees":47.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,127,631,504,736,232],"beta":{"interval_sums":[121389,129733,134342,126292,117948,112476],"interval_residues":[569,283,577,294,580,286],"display_cycle":[569,283,577,294,580,286],"intervals":[{"from_index":228,"to_index":516,"sum":121389,"residue":569},{"from_index":516,"to_index":804,"sum":129733,"residue":283},{"from_index":804,"to_index":1092,"sum":134342,"residue":577},{"from_index":1092,"to_index":1380,"sum":126292,"residue":294},{"from_index":1380,"to_index":1668,"sum":117948,"residue":580},{"from_index":1668,"to_index":228,"sum":112476,"residue":286}],"minimal_cycle":[569,283,577,294,580,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":569,"start_interval_clock_positions":[228,516],"circle_positions":863,"cycle_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":[229,517,805,1093,1381,1669],"clock_positions":[229,517,805,1093,1381,1669],"native_values":[453,518,65,410,345,798],"rotation_degrees":47.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,518,65,410,345,798],"beta":{"interval_sums":[121063,129846,134781,126618,117835,112037],"interval_residues":[243,396,153,620,467,710],"display_cycle":[243,396,153,620,467,710],"intervals":[{"from_index":229,"to_index":517,"sum":121063,"residue":243},{"from_index":517,"to_index":805,"sum":129846,"residue":396},{"from_index":805,"to_index":1093,"sum":134781,"residue":153},{"from_index":1093,"to_index":1381,"sum":126618,"residue":620},{"from_index":1381,"to_index":1669,"sum":117835,"residue":467},{"from_index":1669,"to_index":229,"sum":112037,"residue":710}],"minimal_cycle":[243,396,153,620,467,710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[229,517],"circle_positions":863,"cycle_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":[230,518,806,1094,1382,1670],"clock_positions":[230,518,806,1094,1382,1670],"native_values":[812,645,696,51,218,167],"rotation_degrees":47.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[812,645,696,51,218,167],"beta":{"interval_sums":[120769,129266,134495,126912,118415,112323],"interval_residues":[812,679,730,51,184,133],"display_cycle":[812,679,730,51,184,133],"intervals":[{"from_index":230,"to_index":518,"sum":120769,"residue":812},{"from_index":518,"to_index":806,"sum":129266,"residue":679},{"from_index":806,"to_index":1094,"sum":134495,"residue":730},{"from_index":1094,"to_index":1382,"sum":126912,"residue":51},{"from_index":1382,"to_index":1670,"sum":118415,"residue":184},{"from_index":1670,"to_index":230,"sum":112323,"residue":133}],"minimal_cycle":[812,679,730,51,184,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":812,"start_interval_clock_positions":[230,518],"circle_positions":863,"cycle_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":[231,519,807,1095,1383,1671],"clock_positions":[231,519,807,1095,1383,1671],"native_values":[402,300,761,461,563,102],"rotation_degrees":48.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,300,761,461,563,102],"beta":{"interval_sums":[121012,129662,133785,126669,118019,113033],"interval_residues":[192,212,20,671,651,843],"display_cycle":[192,212,20,671,651,843],"intervals":[{"from_index":231,"to_index":519,"sum":121012,"residue":192},{"from_index":519,"to_index":807,"sum":129662,"residue":212},{"from_index":807,"to_index":1095,"sum":133785,"residue":20},{"from_index":1095,"to_index":1383,"sum":126669,"residue":671},{"from_index":1383,"to_index":1671,"sum":118019,"residue":651},{"from_index":1671,"to_index":231,"sum":113033,"residue":843}],"minimal_cycle":[192,212,20,671,651,843],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[231,519],"circle_positions":863,"cycle_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":[232,520,808,1096,1384,1672],"clock_positions":[232,520,808,1096,1384,1672],"native_values":[351,82,594,512,781,269],"rotation_degrees":48.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,82,594,512,781,269],"beta":{"interval_sums":[120961,130341,133652,126720,117340,113166],"interval_residues":[141,28,750,722,835,113],"display_cycle":[141,28,750,722,835,113],"intervals":[{"from_index":232,"to_index":520,"sum":120961,"residue":141},{"from_index":520,"to_index":808,"sum":130341,"residue":28},{"from_index":808,"to_index":1096,"sum":133652,"residue":750},{"from_index":1096,"to_index":1384,"sum":126720,"residue":722},{"from_index":1384,"to_index":1672,"sum":117340,"residue":835},{"from_index":1672,"to_index":232,"sum":113166,"residue":113}],"minimal_cycle":[141,28,750,722,835,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[232,520],"circle_positions":863,"cycle_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":[233,521,809,1097,1385,1673],"clock_positions":[233,521,809,1097,1385,1673],"native_values":[753,382,492,110,481,371],"rotation_degrees":48.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,382,492,110,481,371],"beta":{"interval_sums":[120290,130553,133672,127391,117128,113146],"interval_residues":[333,240,770,530,623,93],"display_cycle":[333,240,770,530,623,93],"intervals":[{"from_index":233,"to_index":521,"sum":120290,"residue":333},{"from_index":521,"to_index":809,"sum":130553,"residue":240},{"from_index":809,"to_index":1097,"sum":133672,"residue":770},{"from_index":1097,"to_index":1385,"sum":127391,"residue":530},{"from_index":1385,"to_index":1673,"sum":117128,"residue":623},{"from_index":1673,"to_index":233,"sum":113146,"residue":93}],"minimal_cycle":[333,240,770,530,623,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[233,521],"circle_positions":863,"cycle_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":[234,522,810,1098,1386,1674],"clock_positions":[234,522,810,1098,1386,1674],"native_values":[241,464,223,622,399,640],"rotation_degrees":48.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,464,223,622,399,640],"beta":{"interval_sums":[120431,130581,133559,127250,117100,113259],"interval_residues":[474,268,657,389,595,206],"display_cycle":[474,268,657,389,595,206],"intervals":[{"from_index":234,"to_index":522,"sum":120431,"residue":474},{"from_index":522,"to_index":810,"sum":130581,"residue":268},{"from_index":810,"to_index":1098,"sum":133559,"residue":657},{"from_index":1098,"to_index":1386,"sum":127250,"residue":389},{"from_index":1386,"to_index":1674,"sum":117100,"residue":595},{"from_index":1674,"to_index":234,"sum":113259,"residue":206}],"minimal_cycle":[474,268,657,389,595,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[234,522],"circle_positions":863,"cycle_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":[235,523,811,1099,1387,1675],"clock_positions":[235,523,811,1099,1387,1675],"native_values":[131,846,715,732,17,148],"rotation_degrees":48.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,846,715,732,17,148],"beta":{"interval_sums":[120764,129958,133466,126917,117723,113352],"interval_residues":[807,508,564,56,355,299],"display_cycle":[807,508,564,56,355,299],"intervals":[{"from_index":235,"to_index":523,"sum":120764,"residue":807},{"from_index":523,"to_index":811,"sum":129958,"residue":508},{"from_index":811,"to_index":1099,"sum":133466,"residue":564},{"from_index":1099,"to_index":1387,"sum":126917,"residue":56},{"from_index":1387,"to_index":1675,"sum":117723,"residue":355},{"from_index":1675,"to_index":235,"sum":113352,"residue":299}],"minimal_cycle":[807,508,564,56,355,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":807,"start_interval_clock_positions":[235,523],"circle_positions":863,"cycle_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":[236,524,812,1100,1388,1676],"clock_positions":[236,524,812,1100,1388,1676],"native_values":[372,447,75,491,416,788],"rotation_degrees":49.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,447,75,491,416,788],"beta":{"interval_sums":[121238,130226,134123,126443,117455,112695],"interval_residues":[418,776,358,445,87,505],"display_cycle":[418,776,358,445,87,505],"intervals":[{"from_index":236,"to_index":524,"sum":121238,"residue":418},{"from_index":524,"to_index":812,"sum":130226,"residue":776},{"from_index":812,"to_index":1100,"sum":134123,"residue":358},{"from_index":1100,"to_index":1388,"sum":126443,"residue":445},{"from_index":1388,"to_index":1676,"sum":117455,"residue":87},{"from_index":1676,"to_index":236,"sum":112695,"residue":505}],"minimal_cycle":[418,776,358,445,87,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[236,524],"circle_positions":863,"cycle_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":[237,525,813,1101,1389,1677],"clock_positions":[237,525,813,1101,1389,1677],"native_values":[503,430,790,360,433,73],"rotation_degrees":49.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,430,790,360,433,73],"beta":{"interval_sums":[121182,129871,133824,126499,117810,112994],"interval_residues":[362,421,59,501,442,804],"display_cycle":[362,421,59,501,442,804],"intervals":[{"from_index":237,"to_index":525,"sum":121182,"residue":362},{"from_index":525,"to_index":813,"sum":129871,"residue":421},{"from_index":813,"to_index":1101,"sum":133824,"residue":59},{"from_index":1101,"to_index":1389,"sum":126499,"residue":501},{"from_index":1389,"to_index":1677,"sum":117810,"residue":442},{"from_index":1677,"to_index":237,"sum":112994,"residue":804}],"minimal_cycle":[362,421,59,501,442,804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[237,525],"circle_positions":863,"cycle_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":[238,526,814,1102,1390,1678],"clock_positions":[238,526,814,1102,1390,1678],"native_values":[12,14,2,851,849,861],"rotation_degrees":49.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,14,2,851,849,861],"beta":{"interval_sums":[121600,130647,134182,126081,117034,112636],"interval_residues":[780,334,417,83,529,446],"display_cycle":[780,334,417,83,529,446],"intervals":[{"from_index":238,"to_index":526,"sum":121600,"residue":780},{"from_index":526,"to_index":814,"sum":130647,"residue":334},{"from_index":814,"to_index":1102,"sum":134182,"residue":417},{"from_index":1102,"to_index":1390,"sum":126081,"residue":83},{"from_index":1390,"to_index":1678,"sum":117034,"residue":529},{"from_index":1678,"to_index":238,"sum":112636,"residue":446}],"minimal_cycle":[780,334,417,83,529,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":780,"start_interval_clock_positions":[238,526],"circle_positions":863,"cycle_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":[239,527,815,1103,1391,1679],"clock_positions":[239,527,815,1103,1391,1679],"native_values":[515,444,792,348,419,71],"rotation_degrees":49.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,444,792,348,419,71],"beta":{"interval_sums":[121099,130205,134241,126582,117476,112577],"interval_residues":[279,755,476,584,108,387],"display_cycle":[279,755,476,584,108,387],"intervals":[{"from_index":239,"to_index":527,"sum":121099,"residue":279},{"from_index":527,"to_index":815,"sum":130205,"residue":755},{"from_index":815,"to_index":1103,"sum":134241,"residue":476},{"from_index":1103,"to_index":1391,"sum":126582,"residue":584},{"from_index":1391,"to_index":1679,"sum":117476,"residue":108},{"from_index":1679,"to_index":239,"sum":112577,"residue":387}],"minimal_cycle":[279,755,476,584,108,387],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[239,527],"circle_positions":863,"cycle_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":[240,528,816,1104,1392,1680],"clock_positions":[240,528,816,1104,1392,1680],"native_values":[527,458,794,336,405,69],"rotation_degrees":50.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,458,794,336,405,69],"beta":{"interval_sums":[121016,130539,133795,126665,117142,113023],"interval_residues":[196,226,30,667,637,833],"display_cycle":[196,226,30,667,637,833],"intervals":[{"from_index":240,"to_index":528,"sum":121016,"residue":196},{"from_index":528,"to_index":816,"sum":130539,"residue":226},{"from_index":816,"to_index":1104,"sum":133795,"residue":30},{"from_index":1104,"to_index":1392,"sum":126665,"residue":667},{"from_index":1392,"to_index":1680,"sum":117142,"residue":637},{"from_index":1680,"to_index":240,"sum":113023,"residue":833}],"minimal_cycle":[196,226,30,667,637,833],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[240,528],"circle_positions":863,"cycle_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":[241,529,817,1105,1393,1681],"clock_positions":[241,529,817,1105,1393,1681],"native_values":[179,39,723,684,824,140],"rotation_degrees":50.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,39,723,684,824,140],"beta":{"interval_sums":[121295,131294,133408,126386,116387,113410],"interval_residues":[475,118,506,388,745,357],"display_cycle":[475,118,506,388,745,357],"intervals":[{"from_index":241,"to_index":529,"sum":121295,"residue":475},{"from_index":529,"to_index":817,"sum":131294,"residue":118},{"from_index":817,"to_index":1105,"sum":133408,"residue":506},{"from_index":1105,"to_index":1393,"sum":126386,"residue":388},{"from_index":1393,"to_index":1681,"sum":116387,"residue":745},{"from_index":1681,"to_index":241,"sum":113410,"residue":357}],"minimal_cycle":[475,118,506,388,745,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[241,529],"circle_positions":863,"cycle_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":[242,530,818,1106,1394,1682],"clock_positions":[242,530,818,1106,1394,1682],"native_values":[706,497,654,157,366,209],"rotation_degrees":50.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,497,654,157,366,209],"beta":{"interval_sums":[120628,131520,133438,127053,116161,113380],"interval_residues":[671,344,536,192,519,327],"display_cycle":[671,344,536,192,519,327],"intervals":[{"from_index":242,"to_index":530,"sum":120628,"residue":671},{"from_index":530,"to_index":818,"sum":131520,"residue":344},{"from_index":818,"to_index":1106,"sum":133438,"residue":536},{"from_index":1106,"to_index":1394,"sum":127053,"residue":192},{"from_index":1394,"to_index":1682,"sum":116161,"residue":519},{"from_index":1682,"to_index":242,"sum":113380,"residue":327}],"minimal_cycle":[671,344,536,192,519,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[242,530],"circle_positions":863,"cycle_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":[243,531,819,1107,1395,1683],"clock_positions":[243,531,819,1107,1395,1683],"native_values":[22,536,514,841,327,349],"rotation_degrees":50.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,536,514,841,327,349],"beta":{"interval_sums":[121103,131638,133081,126578,116043,113737],"interval_residues":[283,462,179,580,401,684],"display_cycle":[283,462,179,580,401,684],"intervals":[{"from_index":243,"to_index":531,"sum":121103,"residue":283},{"from_index":531,"to_index":819,"sum":131638,"residue":462},{"from_index":819,"to_index":1107,"sum":133081,"residue":179},{"from_index":1107,"to_index":1395,"sum":126578,"residue":580},{"from_index":1395,"to_index":1683,"sum":116043,"residue":401},{"from_index":1683,"to_index":243,"sum":113737,"residue":684}],"minimal_cycle":[283,462,179,580,401,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[243,531],"circle_positions":863,"cycle_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":[244,532,820,1108,1396,1684],"clock_positions":[244,532,820,1108,1396,1684],"native_values":[728,170,305,135,693,558],"rotation_degrees":50.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[728,170,305,135,693,558],"beta":{"interval_sums":[120911,131982,133617,126770,115699,113201],"interval_residues":[91,806,715,772,57,148],"display_cycle":[91,806,715,772,57,148],"intervals":[{"from_index":244,"to_index":532,"sum":120911,"residue":91},{"from_index":532,"to_index":820,"sum":131982,"residue":806},{"from_index":820,"to_index":1108,"sum":133617,"residue":715},{"from_index":1108,"to_index":1396,"sum":126770,"residue":772},{"from_index":1396,"to_index":1684,"sum":115699,"residue":57},{"from_index":1684,"to_index":244,"sum":113201,"residue":148}],"minimal_cycle":[91,806,715,772,57,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[244,532],"circle_positions":863,"cycle_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":[245,533,821,1109,1397,1685],"clock_positions":[245,533,821,1109,1397,1685],"native_values":[750,706,819,113,157,44],"rotation_degrees":51.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,706,819,113,157,44],"beta":{"interval_sums":[120331,131581,132933,127350,116100,113885],"interval_residues":[374,405,31,489,458,832],"display_cycle":[374,405,31,489,458,832],"intervals":[{"from_index":245,"to_index":533,"sum":120331,"residue":374},{"from_index":533,"to_index":821,"sum":131581,"residue":405},{"from_index":821,"to_index":1109,"sum":132933,"residue":31},{"from_index":1109,"to_index":1397,"sum":127350,"residue":489},{"from_index":1397,"to_index":1685,"sum":116100,"residue":458},{"from_index":1685,"to_index":245,"sum":113885,"residue":832}],"minimal_cycle":[374,405,31,489,458,832],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[245,533],"circle_positions":863,"cycle_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":[246,534,822,1110,1398,1686],"clock_positions":[246,534,822,1110,1398,1686],"native_values":[615,13,261,248,850,602],"rotation_degrees":51.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,13,261,248,850,602],"beta":{"interval_sums":[120422,132387,132785,127259,115294,114033],"interval_residues":[465,348,746,398,515,117],"display_cycle":[465,348,746,398,515,117],"intervals":[{"from_index":246,"to_index":534,"sum":120422,"residue":465},{"from_index":534,"to_index":822,"sum":132387,"residue":348},{"from_index":822,"to_index":1110,"sum":132785,"residue":746},{"from_index":1110,"to_index":1398,"sum":127259,"residue":398},{"from_index":1398,"to_index":1686,"sum":115294,"residue":515},{"from_index":1686,"to_index":246,"sum":114033,"residue":117}],"minimal_cycle":[465,348,746,398,515,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[246,534],"circle_positions":863,"cycle_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":[247,535,823,1111,1399,1687],"clock_positions":[247,535,823,1111,1399,1687],"native_values":[502,719,217,361,144,646],"rotation_degrees":51.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,719,217,361,144,646],"beta":{"interval_sums":[119933,131929,132816,127748,115752,114002],"interval_residues":[839,753,777,24,110,86],"display_cycle":[839,753,777,24,110,86],"intervals":[{"from_index":247,"to_index":535,"sum":119933,"residue":839},{"from_index":535,"to_index":823,"sum":131929,"residue":753},{"from_index":823,"to_index":1111,"sum":132816,"residue":777},{"from_index":1111,"to_index":1399,"sum":127748,"residue":24},{"from_index":1399,"to_index":1687,"sum":115752,"residue":110},{"from_index":1687,"to_index":247,"sum":114002,"residue":86}],"minimal_cycle":[839,753,777,24,110,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":839,"start_interval_clock_positions":[247,535],"circle_positions":863,"cycle_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":[248,536,824,1112,1400,1688],"clock_positions":[248,536,824,1112,1400,1688],"native_values":[254,732,478,609,131,385],"rotation_degrees":51.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[254,732,478,609,131,385],"beta":{"interval_sums":[120398,131414,132699,127283,116267,114119],"interval_residues":[441,238,660,422,625,203],"display_cycle":[441,238,660,422,625,203],"intervals":[{"from_index":248,"to_index":536,"sum":120398,"residue":441},{"from_index":536,"to_index":824,"sum":131414,"residue":238},{"from_index":824,"to_index":1112,"sum":132699,"residue":660},{"from_index":1112,"to_index":1400,"sum":127283,"residue":422},{"from_index":1400,"to_index":1688,"sum":116267,"residue":625},{"from_index":1688,"to_index":248,"sum":114119,"residue":203}],"minimal_cycle":[441,238,660,422,625,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[248,536],"circle_positions":863,"cycle_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":[249,537,825,1113,1401,1689],"clock_positions":[249,537,825,1113,1401,1689],"native_values":[756,588,695,107,275,168],"rotation_degrees":51.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[756,588,695,107,275,168],"beta":{"interval_sums":[120374,131304,132613,127307,116377,114205],"interval_residues":[417,128,574,446,735,289],"display_cycle":[417,128,574,446,735,289],"intervals":[{"from_index":249,"to_index":537,"sum":120374,"residue":417},{"from_index":537,"to_index":825,"sum":131304,"residue":128},{"from_index":825,"to_index":1113,"sum":132613,"residue":574},{"from_index":1113,"to_index":1401,"sum":127307,"residue":446},{"from_index":1401,"to_index":1689,"sum":116377,"residue":735},{"from_index":1689,"to_index":249,"sum":114205,"residue":289}],"minimal_cycle":[417,128,574,446,735,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[249,537],"circle_positions":863,"cycle_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":[250,538,826,1114,1402,1690],"clock_positions":[250,538,826,1114,1402,1690],"native_values":[147,457,310,716,406,553],"rotation_degrees":52.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,457,310,716,406,553],"beta":{"interval_sums":[120815,131542,132410,126866,116139,114408],"interval_residues":[858,366,371,5,497,492],"display_cycle":[858,366,371,5,497,492],"intervals":[{"from_index":250,"to_index":538,"sum":120815,"residue":858},{"from_index":538,"to_index":826,"sum":131542,"residue":366},{"from_index":826,"to_index":1114,"sum":132410,"residue":371},{"from_index":1114,"to_index":1402,"sum":126866,"residue":5},{"from_index":1402,"to_index":1690,"sum":116139,"residue":497},{"from_index":1690,"to_index":250,"sum":114408,"residue":492}],"minimal_cycle":[858,366,371,5,497,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":858,"start_interval_clock_positions":[250,538],"circle_positions":863,"cycle_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":[251,539,827,1115,1403,1691],"clock_positions":[251,539,827,1115,1403,1691],"native_values":[40,182,142,823,681,721],"rotation_degrees":52.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,182,142,823,681,721],"beta":{"interval_sums":[121232,131670,132984,126449,116011,113834],"interval_residues":[412,494,82,451,369,781],"display_cycle":[412,494,82,451,369,781],"intervals":[{"from_index":251,"to_index":539,"sum":121232,"residue":412},{"from_index":539,"to_index":827,"sum":131670,"residue":494},{"from_index":827,"to_index":1115,"sum":132984,"residue":82},{"from_index":1115,"to_index":1403,"sum":126449,"residue":451},{"from_index":1403,"to_index":1691,"sum":116011,"residue":369},{"from_index":1691,"to_index":251,"sum":113834,"residue":781}],"minimal_cycle":[412,494,82,451,369,781],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[251,539],"circle_positions":863,"cycle_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":[252,540,828,1116,1404,1692],"clock_positions":[252,540,828,1116,1404,1692],"native_values":[187,639,452,676,224,411],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,639,452,676,224,411],"beta":{"interval_sums":[121227,131173,133355,126454,116508,113463],"interval_residues":[407,860,453,456,3,410],"display_cycle":[407,860,453,456,3,410],"intervals":[{"from_index":252,"to_index":540,"sum":121227,"residue":407},{"from_index":540,"to_index":828,"sum":131173,"residue":860},{"from_index":828,"to_index":1116,"sum":133355,"residue":453},{"from_index":1116,"to_index":1404,"sum":126454,"residue":456},{"from_index":1404,"to_index":1692,"sum":116508,"residue":3},{"from_index":1692,"to_index":252,"sum":113463,"residue":410}],"minimal_cycle":[407,860,453,456,3,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[252,540],"circle_positions":863,"cycle_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":[253,541,829,1117,1405,1693],"clock_positions":[253,541,829,1117,1405,1693],"native_values":[227,821,594,636,42,269],"rotation_degrees":52.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,821,594,636,42,269],"beta":{"interval_sums":[121639,130804,133437,126042,116877,113381],"interval_residues":[819,491,535,44,372,328],"display_cycle":[819,491,535,44,372,328],"intervals":[{"from_index":253,"to_index":541,"sum":121639,"residue":819},{"from_index":541,"to_index":829,"sum":130804,"residue":491},{"from_index":829,"to_index":1117,"sum":133437,"residue":535},{"from_index":1117,"to_index":1405,"sum":126042,"residue":44},{"from_index":1405,"to_index":1693,"sum":116877,"residue":372},{"from_index":1693,"to_index":253,"sum":113381,"residue":328}],"minimal_cycle":[819,491,535,44,372,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":819,"start_interval_clock_positions":[253,541],"circle_positions":863,"cycle_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":[254,542,830,1118,1406,1694],"clock_positions":[254,542,830,1118,1406,1694],"native_values":[414,597,183,449,266,680],"rotation_degrees":52.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,597,183,449,266,680],"beta":{"interval_sums":[122046,130801,133890,125635,116880,112928],"interval_residues":[363,488,125,500,375,738],"display_cycle":[363,488,125,500,375,738],"intervals":[{"from_index":254,"to_index":542,"sum":122046,"residue":363},{"from_index":542,"to_index":830,"sum":130801,"residue":488},{"from_index":830,"to_index":1118,"sum":133890,"residue":125},{"from_index":1118,"to_index":1406,"sum":125635,"residue":500},{"from_index":1406,"to_index":1694,"sum":116880,"residue":375},{"from_index":1694,"to_index":254,"sum":112928,"residue":738}],"minimal_cycle":[363,488,125,500,375,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[254,542],"circle_positions":863,"cycle_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":[255,543,831,1119,1407,1695],"clock_positions":[255,543,831,1119,1407,1695],"native_values":[641,555,777,222,308,86],"rotation_degrees":53.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,555,777,222,308,86],"beta":{"interval_sums":[122002,130429,133562,125679,117252,113256],"interval_residues":[319,116,660,544,747,203],"display_cycle":[319,116,660,544,747,203],"intervals":[{"from_index":255,"to_index":543,"sum":122002,"residue":319},{"from_index":543,"to_index":831,"sum":130429,"residue":116},{"from_index":831,"to_index":1119,"sum":133562,"residue":660},{"from_index":1119,"to_index":1407,"sum":125679,"residue":544},{"from_index":1407,"to_index":1695,"sum":117252,"residue":747},{"from_index":1695,"to_index":255,"sum":113256,"residue":203}],"minimal_cycle":[319,116,660,544,747,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[255,543],"circle_positions":863,"cycle_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":[256,544,832,1120,1408,1696],"clock_positions":[256,544,832,1120,1408,1696],"native_values":[192,289,97,671,574,766],"rotation_degrees":53.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,289,97,671,574,766],"beta":{"interval_sums":[122365,130917,133687,125316,116764,113131],"interval_residues":[682,604,785,181,259,78],"display_cycle":[682,604,785,181,259,78],"intervals":[{"from_index":256,"to_index":544,"sum":122365,"residue":682},{"from_index":544,"to_index":832,"sum":130917,"residue":604},{"from_index":832,"to_index":1120,"sum":133687,"residue":785},{"from_index":1120,"to_index":1408,"sum":125316,"residue":181},{"from_index":1408,"to_index":1696,"sum":116764,"residue":259},{"from_index":1696,"to_index":256,"sum":113131,"residue":78}],"minimal_cycle":[682,604,785,181,259,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":682,"start_interval_clock_positions":[256,544],"circle_positions":863,"cycle_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":[257,545,833,1121,1409,1697],"clock_positions":[257,545,833,1121,1409,1697],"native_values":[833,844,11,30,19,852],"rotation_degrees":53.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,844,11,30,19,852],"beta":{"interval_sums":[121821,130170,134347,125860,117511,112471],"interval_residues":[138,720,582,725,143,281],"display_cycle":[138,720,582,725,143,281],"intervals":[{"from_index":257,"to_index":545,"sum":121821,"residue":138},{"from_index":545,"to_index":833,"sum":130170,"residue":720},{"from_index":833,"to_index":1121,"sum":134347,"residue":582},{"from_index":1121,"to_index":1409,"sum":125860,"residue":725},{"from_index":1409,"to_index":1697,"sum":117511,"residue":143},{"from_index":1697,"to_index":257,"sum":112471,"residue":281}],"minimal_cycle":[138,720,582,725,143,281],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[257,545],"circle_positions":863,"cycle_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":[258,546,834,1122,1410,1698],"clock_positions":[258,546,834,1122,1410,1698],"native_values":[162,270,108,701,593,755],"rotation_degrees":53.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,270,108,701,593,755],"beta":{"interval_sums":[122503,129911,134269,125178,117770,112549],"interval_residues":[820,461,504,43,402,359],"display_cycle":[820,461,504,43,402,359],"intervals":[{"from_index":258,"to_index":546,"sum":122503,"residue":820},{"from_index":546,"to_index":834,"sum":129911,"residue":461},{"from_index":834,"to_index":1122,"sum":134269,"residue":504},{"from_index":1122,"to_index":1410,"sum":125178,"residue":43},{"from_index":1410,"to_index":1698,"sum":117770,"residue":402},{"from_index":1698,"to_index":258,"sum":112549,"residue":359}],"minimal_cycle":[820,461,504,43,402,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[258,546],"circle_positions":863,"cycle_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":[259,547,835,1123,1411,1699],"clock_positions":[259,547,835,1123,1411,1699],"native_values":[132,251,119,731,612,744],"rotation_degrees":53.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,251,119,731,612,744],"beta":{"interval_sums":[122641,129768,134851,125040,117913,111967],"interval_residues":[95,318,223,768,545,640],"display_cycle":[95,318,223,768,545,640],"intervals":[{"from_index":259,"to_index":547,"sum":122641,"residue":95},{"from_index":547,"to_index":835,"sum":129768,"residue":318},{"from_index":835,"to_index":1123,"sum":134851,"residue":223},{"from_index":1123,"to_index":1411,"sum":125040,"residue":768},{"from_index":1411,"to_index":1699,"sum":117913,"residue":545},{"from_index":1699,"to_index":259,"sum":111967,"residue":640}],"minimal_cycle":[95,318,223,768,545,640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[259,547],"circle_positions":863,"cycle_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":[260,548,836,1124,1412,1700],"clock_positions":[260,548,836,1124,1412,1700],"native_values":[294,521,227,569,342,636],"rotation_degrees":54.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,521,227,569,342,636],"beta":{"interval_sums":[122598,129366,135355,125083,118315,111463],"interval_residues":[52,779,727,811,84,136],"display_cycle":[52,779,727,811,84,136],"intervals":[{"from_index":260,"to_index":548,"sum":122598,"residue":52},{"from_index":548,"to_index":836,"sum":129366,"residue":779},{"from_index":836,"to_index":1124,"sum":135355,"residue":727},{"from_index":1124,"to_index":1412,"sum":125083,"residue":811},{"from_index":1412,"to_index":1700,"sum":118315,"residue":84},{"from_index":1700,"to_index":260,"sum":111463,"residue":136}],"minimal_cycle":[52,779,727,811,84,136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[260,548],"circle_positions":863,"cycle_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":[261,549,837,1125,1413,1701],"clock_positions":[261,549,837,1125,1413,1701],"native_values":[426,772,346,437,91,517],"rotation_degrees":54.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,772,346,437,91,517],"beta":{"interval_sums":[122693,128821,135578,124988,118860,111240],"interval_residues":[147,234,87,716,629,776],"display_cycle":[147,234,87,716,629,776],"intervals":[{"from_index":261,"to_index":549,"sum":122693,"residue":147},{"from_index":549,"to_index":837,"sum":128821,"residue":234},{"from_index":837,"to_index":1125,"sum":135578,"residue":87},{"from_index":1125,"to_index":1413,"sum":124988,"residue":716},{"from_index":1413,"to_index":1701,"sum":118860,"residue":629},{"from_index":1701,"to_index":261,"sum":111240,"residue":776}],"minimal_cycle":[147,234,87,716,629,776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[261,549],"circle_positions":863,"cycle_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":[262,550,838,1126,1414,1702],"clock_positions":[262,550,838,1126,1414,1702],"native_values":[720,430,573,143,433,290],"rotation_degrees":54.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,430,573,143,433,290],"beta":{"interval_sums":[122745,128737,135442,124936,118944,111376],"interval_residues":[199,150,814,664,713,49],"display_cycle":[199,150,814,664,713,49],"intervals":[{"from_index":262,"to_index":550,"sum":122745,"residue":199},{"from_index":550,"to_index":838,"sum":128737,"residue":150},{"from_index":838,"to_index":1126,"sum":135442,"residue":814},{"from_index":1126,"to_index":1414,"sum":124936,"residue":664},{"from_index":1414,"to_index":1702,"sum":118944,"residue":713},{"from_index":1702,"to_index":262,"sum":111376,"residue":49}],"minimal_cycle":[199,150,814,664,713,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[262,550],"circle_positions":863,"cycle_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":[263,551,839,1127,1415,1703],"clock_positions":[263,551,839,1127,1415,1703],"native_values":[283,339,56,580,524,807],"rotation_degrees":54.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,339,56,580,524,807],"beta":{"interval_sums":[122892,128971,135529,124789,118710,111289],"interval_residues":[346,384,38,517,479,825],"display_cycle":[346,384,38,517,479,825],"intervals":[{"from_index":263,"to_index":551,"sum":122892,"residue":346},{"from_index":551,"to_index":839,"sum":128971,"residue":384},{"from_index":839,"to_index":1127,"sum":135529,"residue":38},{"from_index":1127,"to_index":1415,"sum":124789,"residue":517},{"from_index":1415,"to_index":1703,"sum":118710,"residue":479},{"from_index":1703,"to_index":263,"sum":111289,"residue":825}],"minimal_cycle":[346,384,38,517,479,825],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[263,551],"circle_positions":863,"cycle_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":[264,552,840,1128,1416,1704],"clock_positions":[264,552,840,1128,1416,1704],"native_values":[140,769,629,723,94,234],"rotation_degrees":55.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,769,629,723,94,234],"beta":{"interval_sums":[123091,128258,135480,124590,119423,111338],"interval_residues":[545,534,852,318,329,11],"display_cycle":[545,534,852,318,329,11],"intervals":[{"from_index":264,"to_index":552,"sum":123091,"residue":545},{"from_index":552,"to_index":840,"sum":128258,"residue":534},{"from_index":840,"to_index":1128,"sum":135480,"residue":852},{"from_index":1128,"to_index":1416,"sum":124590,"residue":318},{"from_index":1416,"to_index":1704,"sum":119423,"residue":329},{"from_index":1704,"to_index":264,"sum":111338,"residue":11}],"minimal_cycle":[545,534,852,318,329,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":545,"start_interval_clock_positions":[264,552],"circle_positions":863,"cycle_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":[265,553,841,1129,1417,1705],"clock_positions":[265,553,841,1129,1417,1705],"native_values":[423,245,685,440,618,178],"rotation_degrees":55.208333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,245,685,440,618,178],"beta":{"interval_sums":[123437,128642,135518,124244,119039,111300],"interval_residues":[28,55,27,835,808,836],"display_cycle":[28,55,27,835,808,836],"intervals":[{"from_index":265,"to_index":553,"sum":123437,"residue":28},{"from_index":553,"to_index":841,"sum":128642,"residue":55},{"from_index":841,"to_index":1129,"sum":135518,"residue":27},{"from_index":1129,"to_index":1417,"sum":124244,"residue":835},{"from_index":1417,"to_index":1705,"sum":119039,"residue":808},{"from_index":1705,"to_index":265,"sum":111300,"residue":836}],"minimal_cycle":[28,55,27,835,808,836],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[265,553],"circle_positions":863,"cycle_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":[266,554,842,1130,1418,1706],"clock_positions":[266,554,842,1130,1418,1706],"native_values":[563,151,451,300,712,412],"rotation_degrees":55.416666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,151,451,300,712,412],"beta":{"interval_sums":[123119,129176,135507,124562,118505,111311],"interval_residues":[573,589,16,290,274,847],"display_cycle":[573,589,16,290,274,847],"intervals":[{"from_index":266,"to_index":554,"sum":123119,"residue":573},{"from_index":554,"to_index":842,"sum":129176,"residue":589},{"from_index":842,"to_index":1130,"sum":135507,"residue":16},{"from_index":1130,"to_index":1418,"sum":124562,"residue":290},{"from_index":1418,"to_index":1706,"sum":118505,"residue":274},{"from_index":1706,"to_index":266,"sum":111311,"residue":847}],"minimal_cycle":[573,589,16,290,274,847],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[266,554],"circle_positions":863,"cycle_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":[267,555,843,1131,1419,1707],"clock_positions":[267,555,843,1131,1419,1707],"native_values":[123,396,273,740,467,590],"rotation_degrees":55.625,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,396,273,740,467,590],"beta":{"interval_sums":[123147,129231,135534,124534,118450,111284],"interval_residues":[601,644,43,262,219,820],"display_cycle":[601,644,43,262,219,820],"intervals":[{"from_index":267,"to_index":555,"sum":123147,"residue":601},{"from_index":555,"to_index":843,"sum":129231,"residue":644},{"from_index":843,"to_index":1131,"sum":135534,"residue":43},{"from_index":1131,"to_index":1419,"sum":124534,"residue":262},{"from_index":1419,"to_index":1707,"sum":118450,"residue":219},{"from_index":1707,"to_index":267,"sum":111284,"residue":820}],"minimal_cycle":[601,644,43,262,219,820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[267,555],"circle_positions":863,"cycle_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":[268,556,844,1132,1420,1708],"clock_positions":[268,556,844,1132,1420,1708],"native_values":[686,547,724,177,316,139],"rotation_degrees":55.833333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,547,724,177,316,139],"beta":{"interval_sums":[122857,128957,135550,124824,118724,111268],"interval_residues":[311,370,59,552,493,804],"display_cycle":[311,370,59,552,493,804],"intervals":[{"from_index":268,"to_index":556,"sum":122857,"residue":311},{"from_index":556,"to_index":844,"sum":128957,"residue":370},{"from_index":844,"to_index":1132,"sum":135550,"residue":59},{"from_index":1132,"to_index":1420,"sum":124824,"residue":552},{"from_index":1420,"to_index":1708,"sum":118724,"residue":493},{"from_index":1708,"to_index":268,"sum":111268,"residue":804}],"minimal_cycle":[311,370,59,552,493,804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[268,556],"circle_positions":863,"cycle_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":[269,557,845,1133,1421,1709],"clock_positions":[269,557,845,1133,1421,1709],"native_values":[809,80,134,54,783,729],"rotation_degrees":56.041666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[809,80,134,54,783,729],"beta":{"interval_sums":[122595,129601,135593,125086,118080,111225],"interval_residues":[49,151,102,814,712,761],"display_cycle":[49,151,102,814,712,761],"intervals":[{"from_index":269,"to_index":557,"sum":122595,"residue":49},{"from_index":557,"to_index":845,"sum":129601,"residue":151},{"from_index":845,"to_index":1133,"sum":135593,"residue":102},{"from_index":1133,"to_index":1421,"sum":125086,"residue":814},{"from_index":1421,"to_index":1709,"sum":118080,"residue":712},{"from_index":1709,"to_index":269,"sum":111225,"residue":761}],"minimal_cycle":[49,151,102,814,712,761],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":49,"start_interval_clock_positions":[269,557],"circle_positions":863,"cycle_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":[270,558,846,1134,1422,1710],"clock_positions":[270,558,846,1134,1422,1710],"native_values":[632,627,858,231,236,5],"rotation_degrees":56.25,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,627,858,231,236,5],"beta":{"interval_sums":[122043,129108,134789,125638,118573,112029],"interval_residues":[360,521,161,503,342,702],"display_cycle":[360,521,161,503,342,702],"intervals":[{"from_index":270,"to_index":558,"sum":122043,"residue":360},{"from_index":558,"to_index":846,"sum":129108,"residue":521},{"from_index":846,"to_index":1134,"sum":134789,"residue":161},{"from_index":1134,"to_index":1422,"sum":125638,"residue":503},{"from_index":1422,"to_index":1710,"sum":118573,"residue":342},{"from_index":1710,"to_index":270,"sum":112029,"residue":702}],"minimal_cycle":[360,521,161,503,342,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[270,558],"circle_positions":863,"cycle_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":[271,559,847,1135,1423,1711],"clock_positions":[271,559,847,1135,1423,1711],"native_values":[578,707,129,285,156,734],"rotation_degrees":56.458333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,707,129,285,156,734],"beta":{"interval_sums":[122092,129259,134891,125589,118422,111927],"interval_residues":[409,672,263,454,191,600],"display_cycle":[409,672,263,454,191,600],"intervals":[{"from_index":271,"to_index":559,"sum":122092,"residue":409},{"from_index":559,"to_index":847,"sum":129259,"residue":672},{"from_index":847,"to_index":1135,"sum":134891,"residue":263},{"from_index":1135,"to_index":1423,"sum":125589,"residue":454},{"from_index":1423,"to_index":1711,"sum":118422,"residue":191},{"from_index":1711,"to_index":271,"sum":111927,"residue":600}],"minimal_cycle":[409,672,263,454,191,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[271,559],"circle_positions":863,"cycle_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":[272,560,848,1136,1424,1712],"clock_positions":[272,560,848,1136,1424,1712],"native_values":[347,471,124,516,392,739],"rotation_degrees":56.666666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,471,124,516,392,739],"beta":{"interval_sums":[122452,128917,135052,125229,118764,111766],"interval_residues":[769,330,424,94,533,439],"display_cycle":[769,330,424,94,533,439],"intervals":[{"from_index":272,"to_index":560,"sum":122452,"residue":769},{"from_index":560,"to_index":848,"sum":128917,"residue":330},{"from_index":848,"to_index":1136,"sum":135052,"residue":424},{"from_index":1136,"to_index":1424,"sum":125229,"residue":94},{"from_index":1424,"to_index":1712,"sum":118764,"residue":533},{"from_index":1712,"to_index":272,"sum":111766,"residue":439}],"minimal_cycle":[769,330,424,94,533,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":769,"start_interval_clock_positions":[272,560],"circle_positions":863,"cycle_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":[273,561,849,1137,1425,1713],"clock_positions":[273,561,849,1137,1425,1713],"native_values":[62,315,253,801,548,610],"rotation_degrees":56.875,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,315,253,801,548,610],"beta":{"interval_sums":[122861,128726,135315,124820,118955,111503],"interval_residues":[315,139,687,548,724,176],"display_cycle":[315,139,687,548,724,176],"intervals":[{"from_index":273,"to_index":561,"sum":122861,"residue":315},{"from_index":561,"to_index":849,"sum":128726,"residue":139},{"from_index":849,"to_index":1137,"sum":135315,"residue":687},{"from_index":1137,"to_index":1425,"sum":124820,"residue":548},{"from_index":1425,"to_index":1713,"sum":118955,"residue":724},{"from_index":1713,"to_index":273,"sum":111503,"residue":176}],"minimal_cycle":[315,139,687,548,724,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[273,561],"circle_positions":863,"cycle_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":[274,562,850,1138,1426,1714],"clock_positions":[274,562,850,1138,1426,1714],"native_values":[409,786,377,454,77,486],"rotation_degrees":57.083333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,786,377,454,77,486],"beta":{"interval_sums":[122767,128193,135739,124914,119488,111079],"interval_residues":[221,469,248,642,394,615],"display_cycle":[221,469,248,642,394,615],"intervals":[{"from_index":274,"to_index":562,"sum":122767,"residue":221},{"from_index":562,"to_index":850,"sum":128193,"residue":469},{"from_index":850,"to_index":1138,"sum":135739,"residue":248},{"from_index":1138,"to_index":1426,"sum":124914,"residue":642},{"from_index":1426,"to_index":1714,"sum":119488,"residue":394},{"from_index":1714,"to_index":274,"sum":111079,"residue":615}],"minimal_cycle":[221,469,248,642,394,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[274,562],"circle_positions":863,"cycle_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":[275,563,851,1139,1427,1715],"clock_positions":[275,563,851,1139,1427,1715],"native_values":[471,238,630,392,625,233],"rotation_degrees":57.291666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,238,630,392,625,233],"beta":{"interval_sums":[123082,128332,135563,124599,119349,111255],"interval_residues":[536,608,72,327,255,791],"display_cycle":[536,608,72,327,255,791],"intervals":[{"from_index":275,"to_index":563,"sum":123082,"residue":536},{"from_index":563,"to_index":851,"sum":128332,"residue":608},{"from_index":851,"to_index":1139,"sum":135563,"residue":72},{"from_index":1139,"to_index":1427,"sum":124599,"residue":327},{"from_index":1427,"to_index":1715,"sum":119349,"residue":255},{"from_index":1715,"to_index":275,"sum":111255,"residue":791}],"minimal_cycle":[536,608,72,327,255,791],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[275,563],"circle_positions":863,"cycle_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":[276,564,852,1140,1428,1716],"clock_positions":[276,564,852,1140,1428,1716],"native_values":[17,161,144,846,702,719],"rotation_degrees":57.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,161,144,846,702,719],"beta":{"interval_sums":[123303,128801,135811,124378,118880,111007],"interval_residues":[757,214,320,106,649,543],"display_cycle":[757,214,320,106,649,543],"intervals":[{"from_index":276,"to_index":564,"sum":123303,"residue":757},{"from_index":564,"to_index":852,"sum":128801,"residue":214},{"from_index":852,"to_index":1140,"sum":135811,"residue":320},{"from_index":1140,"to_index":1428,"sum":124378,"residue":106},{"from_index":1428,"to_index":1716,"sum":118880,"residue":649},{"from_index":1716,"to_index":276,"sum":111007,"residue":543}],"minimal_cycle":[757,214,320,106,649,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":757,"start_interval_clock_positions":[276,564],"circle_positions":863,"cycle_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":[277,565,853,1141,1429,1717],"clock_positions":[277,565,853,1141,1429,1717],"native_values":[488,399,774,375,464,89],"rotation_degrees":57.708333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[488,399,774,375,464,89],"beta":{"interval_sums":[122976,128546,135883,124705,119135,110935],"interval_residues":[430,822,392,433,41,471],"display_cycle":[430,822,392,433,41,471],"intervals":[{"from_index":277,"to_index":565,"sum":122976,"residue":430},{"from_index":565,"to_index":853,"sum":128546,"residue":822},{"from_index":853,"to_index":1141,"sum":135883,"residue":392},{"from_index":1141,"to_index":1429,"sum":124705,"residue":433},{"from_index":1429,"to_index":1717,"sum":119135,"residue":41},{"from_index":1717,"to_index":277,"sum":110935,"residue":471}],"minimal_cycle":[430,822,392,433,41,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[277,565],"circle_positions":863,"cycle_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":[278,566,854,1142,1430,1718],"clock_positions":[278,566,854,1142,1430,1718],"native_values":[505,560,55,358,303,808],"rotation_degrees":57.916666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,560,55,358,303,808],"beta":{"interval_sums":[122870,128760,136203,124811,118921,110615],"interval_residues":[324,173,712,539,690,151],"display_cycle":[324,173,712,539,690,151],"intervals":[{"from_index":278,"to_index":566,"sum":122870,"residue":324},{"from_index":566,"to_index":854,"sum":128760,"residue":173},{"from_index":854,"to_index":1142,"sum":136203,"residue":712},{"from_index":1142,"to_index":1430,"sum":124811,"residue":539},{"from_index":1430,"to_index":1718,"sum":118921,"residue":690},{"from_index":1718,"to_index":278,"sum":110615,"residue":151}],"minimal_cycle":[324,173,712,539,690,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[278,566],"circle_positions":863,"cycle_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":[279,567,855,1143,1431,1719],"clock_positions":[279,567,855,1143,1431,1719],"native_values":[130,96,829,733,767,34],"rotation_degrees":58.125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,96,829,733,767,34],"beta":{"interval_sums":[123300,128719,135732,124381,118962,111086],"interval_residues":[754,132,241,109,731,622],"display_cycle":[754,132,241,109,731,622],"intervals":[{"from_index":279,"to_index":567,"sum":123300,"residue":754},{"from_index":567,"to_index":855,"sum":128719,"residue":132},{"from_index":855,"to_index":1143,"sum":135732,"residue":241},{"from_index":1143,"to_index":1431,"sum":124381,"residue":109},{"from_index":1431,"to_index":1719,"sum":118962,"residue":731},{"from_index":1719,"to_index":279,"sum":111086,"residue":622}],"minimal_cycle":[754,132,241,109,731,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":754,"start_interval_clock_positions":[279,567],"circle_positions":863,"cycle_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":[280,568,856,1144,1432,1720],"clock_positions":[280,568,856,1144,1432,1720],"native_values":[635,656,21,228,207,842],"rotation_degrees":58.333333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,656,21,228,207,842],"beta":{"interval_sums":[122761,128892,136444,124920,118789,110374],"interval_residues":[215,305,90,648,558,773],"display_cycle":[215,305,90,648,558,773],"intervals":[{"from_index":280,"to_index":568,"sum":122761,"residue":215},{"from_index":568,"to_index":856,"sum":128892,"residue":305},{"from_index":856,"to_index":1144,"sum":136444,"residue":90},{"from_index":1144,"to_index":1432,"sum":124920,"residue":648},{"from_index":1432,"to_index":1720,"sum":118789,"residue":558},{"from_index":1720,"to_index":280,"sum":110374,"residue":773}],"minimal_cycle":[215,305,90,648,558,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":215,"start_interval_clock_positions":[280,568],"circle_positions":863,"cycle_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":[281,569,857,1145,1433,1721],"clock_positions":[281,569,857,1145,1433,1721],"native_values":[765,752,850,98,111,13],"rotation_degrees":58.541666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,752,850,98,111,13],"beta":{"interval_sums":[122652,128161,135822,125029,119520,110996],"interval_residues":[106,437,331,757,426,532],"display_cycle":[106,437,331,757,426,532],"intervals":[{"from_index":281,"to_index":569,"sum":122652,"residue":106},{"from_index":569,"to_index":857,"sum":128161,"residue":437},{"from_index":857,"to_index":1145,"sum":135822,"residue":331},{"from_index":1145,"to_index":1433,"sum":125029,"residue":757},{"from_index":1433,"to_index":1721,"sum":119520,"residue":426},{"from_index":1721,"to_index":281,"sum":110996,"residue":532}],"minimal_cycle":[106,437,331,757,426,532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[281,569],"circle_positions":863,"cycle_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":[282,570,858,1146,1434,1722],"clock_positions":[282,570,858,1146,1434,1722],"native_values":[537,545,8,326,318,855],"rotation_degrees":58.75,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,545,8,326,318,855],"beta":{"interval_sums":[122867,128466,135912,124814,119215,110906],"interval_residues":[321,742,421,542,121,442],"display_cycle":[321,742,421,542,121,442],"intervals":[{"from_index":282,"to_index":570,"sum":122867,"residue":321},{"from_index":570,"to_index":858,"sum":128466,"residue":742},{"from_index":858,"to_index":1146,"sum":135912,"residue":421},{"from_index":1146,"to_index":1434,"sum":124814,"residue":542},{"from_index":1434,"to_index":1722,"sum":119215,"residue":121},{"from_index":1722,"to_index":282,"sum":110906,"residue":442}],"minimal_cycle":[321,742,421,542,121,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":321,"start_interval_clock_positions":[282,570],"circle_positions":863,"cycle_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":[283,571,859,1147,1435,1723],"clock_positions":[283,571,859,1147,1435,1723],"native_values":[439,434,858,424,429,5],"rotation_degrees":58.958333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[439,434,858,424,429,5],"beta":{"interval_sums":[122973,128040,135380,124708,119641,111438],"interval_residues":[427,316,752,436,547,111],"display_cycle":[427,316,752,436,547,111],"intervals":[{"from_index":283,"to_index":571,"sum":122973,"residue":427},{"from_index":571,"to_index":859,"sum":128040,"residue":316},{"from_index":859,"to_index":1147,"sum":135380,"residue":752},{"from_index":1147,"to_index":1435,"sum":124708,"residue":436},{"from_index":1435,"to_index":1723,"sum":119641,"residue":547},{"from_index":1723,"to_index":283,"sum":111438,"residue":111}],"minimal_cycle":[427,316,752,436,547,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[283,571],"circle_positions":863,"cycle_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":[284,572,860,1148,1436,1724],"clock_positions":[284,572,860,1148,1436,1724],"native_values":[113,116,3,750,747,860],"rotation_degrees":59.166666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,116,3,750,747,860],"beta":{"interval_sums":[123294,128782,135801,124387,118899,111017],"interval_residues":[748,195,310,115,668,553],"display_cycle":[748,195,310,115,668,553],"intervals":[{"from_index":284,"to_index":572,"sum":123294,"residue":748},{"from_index":572,"to_index":860,"sum":128782,"residue":195},{"from_index":860,"to_index":1148,"sum":135801,"residue":310},{"from_index":1148,"to_index":1436,"sum":124387,"residue":115},{"from_index":1436,"to_index":1724,"sum":118899,"residue":668},{"from_index":1724,"to_index":284,"sum":111017,"residue":553}],"minimal_cycle":[748,195,310,115,668,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":748,"start_interval_clock_positions":[284,572],"circle_positions":863,"cycle_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":[285,573,861,1149,1437,1725],"clock_positions":[285,573,861,1149,1437,1725],"native_values":[552,550,861,311,313,2],"rotation_degrees":59.375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,550,861,311,313,2],"beta":{"interval_sums":[122858,128235,135690,124823,119446,111128],"interval_residues":[312,511,199,551,352,664],"display_cycle":[312,511,199,551,352,664],"intervals":[{"from_index":285,"to_index":573,"sum":122858,"residue":312},{"from_index":573,"to_index":861,"sum":128235,"residue":511},{"from_index":861,"to_index":1149,"sum":135690,"residue":199},{"from_index":1149,"to_index":1437,"sum":124823,"residue":551},{"from_index":1437,"to_index":1725,"sum":119446,"residue":352},{"from_index":1725,"to_index":285,"sum":111128,"residue":664}],"minimal_cycle":[312,511,199,551,352,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[285,573],"circle_positions":863,"cycle_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":[286,574,862,1150,1438,1726],"clock_positions":[286,574,862,1150,1438,1726],"native_values":[665,666,1,198,197,862],"rotation_degrees":59.583333333333336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,666,1,198,197,862],"beta":{"interval_sums":[122743,128430,136000,124938,119251,110818],"interval_residues":[197,706,509,666,157,354],"display_cycle":[197,706,509,666,157,354],"intervals":[{"from_index":286,"to_index":574,"sum":122743,"residue":197},{"from_index":574,"to_index":862,"sum":128430,"residue":706},{"from_index":862,"to_index":1150,"sum":136000,"residue":509},{"from_index":1150,"to_index":1438,"sum":124938,"residue":666},{"from_index":1438,"to_index":1726,"sum":119251,"residue":157},{"from_index":1726,"to_index":286,"sum":110818,"residue":354}],"minimal_cycle":[197,706,509,666,157,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[286,574],"circle_positions":863,"cycle_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":[287,575,863,1151,1439,1727],"clock_positions":[287,575,863,1151,1439,1727],"native_values":[354,353,862,509,510,1],"rotation_degrees":59.791666666666664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,353,862,509,510,1],"beta":{"interval_sums":[123055,128078,135336,124626,119603,111482],"interval_residues":[509,354,708,354,509,155],"display_cycle":[509,354,708,354,509,155],"intervals":[{"from_index":287,"to_index":575,"sum":123055,"residue":509},{"from_index":575,"to_index":863,"sum":128078,"residue":354},{"from_index":863,"to_index":1151,"sum":135336,"residue":708},{"from_index":1151,"to_index":1439,"sum":124626,"residue":354},{"from_index":1439,"to_index":1727,"sum":119603,"residue":509},{"from_index":1727,"to_index":287,"sum":111482,"residue":155}],"minimal_cycle":[509,354,708,354,509,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[287,575],"circle_positions":863,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,576,1440,864,288,1152,0],"clock_positions":[1728,576,1440,864,288,1152,1728],"native_values":[863,156,707,863,156,707,863],"reduced_m9_values":[9,3,5,9,3,5,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":288,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,288,576,864,1152,1440],"clock_positions":[1728,288,576,864,1152,1440],"native_values":[863,156,156,863,707,707],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1728,"value":863},{"alpha_index":288,"clock_position":288,"value":156},{"alpha_index":576,"clock_position":576,"value":156},{"alpha_index":864,"clock_position":864,"value":863},{"alpha_index":1152,"clock_position":1152,"value":707},{"alpha_index":1440,"clock_position":1440,"value":707}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,289,577,865,1153,1441],"clock_positions":[1,289,577,865,1153,1441],"native_values":[1,510,509,862,353,354],"rotation_degrees":0.20833333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":289,"clock_position":289,"value":510},{"alpha_index":577,"clock_position":577,"value":509},{"alpha_index":865,"clock_position":865,"value":862},{"alpha_index":1153,"clock_position":1153,"value":353},{"alpha_index":1441,"clock_position":1441,"value":354}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,290,578,866,1154,1442],"clock_positions":[2,290,578,866,1154,1442],"native_values":[1,666,665,862,197,198],"rotation_degrees":0.4166666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":290,"clock_position":290,"value":666},{"alpha_index":578,"clock_position":578,"value":665},{"alpha_index":866,"clock_position":866,"value":862},{"alpha_index":1154,"clock_position":1154,"value":197},{"alpha_index":1442,"clock_position":1442,"value":198}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,291,579,867,1155,1443],"clock_positions":[3,291,579,867,1155,1443],"native_values":[2,313,311,861,550,552],"rotation_degrees":0.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":291,"clock_position":291,"value":313},{"alpha_index":579,"clock_position":579,"value":311},{"alpha_index":867,"clock_position":867,"value":861},{"alpha_index":1155,"clock_position":1155,"value":550},{"alpha_index":1443,"clock_position":1443,"value":552}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,292,580,868,1156,1444],"clock_positions":[4,292,580,868,1156,1444],"native_values":[3,116,113,860,747,750],"rotation_degrees":0.8333333333333334,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":292,"clock_position":292,"value":116},{"alpha_index":580,"clock_position":580,"value":113},{"alpha_index":868,"clock_position":868,"value":860},{"alpha_index":1156,"clock_position":1156,"value":747},{"alpha_index":1444,"clock_position":1444,"value":750}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,293,581,869,1157,1445],"clock_positions":[5,293,581,869,1157,1445],"native_values":[5,429,424,858,434,439],"rotation_degrees":1.0416666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":293,"clock_position":293,"value":429},{"alpha_index":581,"clock_position":581,"value":424},{"alpha_index":869,"clock_position":869,"value":858},{"alpha_index":1157,"clock_position":1157,"value":434},{"alpha_index":1445,"clock_position":1445,"value":439}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,294,582,870,1158,1446],"clock_positions":[6,294,582,870,1158,1446],"native_values":[8,545,537,855,318,326],"rotation_degrees":1.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":294,"clock_position":294,"value":545},{"alpha_index":582,"clock_position":582,"value":537},{"alpha_index":870,"clock_position":870,"value":855},{"alpha_index":1158,"clock_position":1158,"value":318},{"alpha_index":1446,"clock_position":1446,"value":326}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,295,583,871,1159,1447],"clock_positions":[7,295,583,871,1159,1447],"native_values":[13,111,98,850,752,765],"rotation_degrees":1.4583333333333333,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":295,"clock_position":295,"value":111},{"alpha_index":583,"clock_position":583,"value":98},{"alpha_index":871,"clock_position":871,"value":850},{"alpha_index":1159,"clock_position":1159,"value":752},{"alpha_index":1447,"clock_position":1447,"value":765}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,296,584,872,1160,1448],"clock_positions":[8,296,584,872,1160,1448],"native_values":[21,656,635,842,207,228],"rotation_degrees":1.6666666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":296,"clock_position":296,"value":656},{"alpha_index":584,"clock_position":584,"value":635},{"alpha_index":872,"clock_position":872,"value":842},{"alpha_index":1160,"clock_position":1160,"value":207},{"alpha_index":1448,"clock_position":1448,"value":228}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,297,585,873,1161,1449],"clock_positions":[9,297,585,873,1161,1449],"native_values":[34,767,733,829,96,130],"rotation_degrees":1.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":297,"clock_position":297,"value":767},{"alpha_index":585,"clock_position":585,"value":733},{"alpha_index":873,"clock_position":873,"value":829},{"alpha_index":1161,"clock_position":1161,"value":96},{"alpha_index":1449,"clock_position":1449,"value":130}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,298,586,874,1162,1450],"clock_positions":[10,298,586,874,1162,1450],"native_values":[55,560,505,808,303,358],"rotation_degrees":2.0833333333333335,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":298,"clock_position":298,"value":560},{"alpha_index":586,"clock_position":586,"value":505},{"alpha_index":874,"clock_position":874,"value":808},{"alpha_index":1162,"clock_position":1162,"value":303},{"alpha_index":1450,"clock_position":1450,"value":358}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,299,587,875,1163,1451],"clock_positions":[11,299,587,875,1163,1451],"native_values":[89,464,375,774,399,488],"rotation_degrees":2.2916666666666665,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":299,"clock_position":299,"value":464},{"alpha_index":587,"clock_position":587,"value":375},{"alpha_index":875,"clock_position":875,"value":774},{"alpha_index":1163,"clock_position":1163,"value":399},{"alpha_index":1451,"clock_position":1451,"value":488}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,300,588,876,1164,1452],"clock_positions":[12,300,588,876,1164,1452],"native_values":[144,161,17,719,702,846],"rotation_degrees":2.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":300,"clock_position":300,"value":161},{"alpha_index":588,"clock_position":588,"value":17},{"alpha_index":876,"clock_position":876,"value":719},{"alpha_index":1164,"clock_position":1164,"value":702},{"alpha_index":1452,"clock_position":1452,"value":846}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,301,589,877,1165,1453],"clock_positions":[13,301,589,877,1165,1453],"native_values":[233,625,392,630,238,471],"rotation_degrees":2.7083333333333335,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":301,"clock_position":301,"value":625},{"alpha_index":589,"clock_position":589,"value":392},{"alpha_index":877,"clock_position":877,"value":630},{"alpha_index":1165,"clock_position":1165,"value":238},{"alpha_index":1453,"clock_position":1453,"value":471}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,302,590,878,1166,1454],"clock_positions":[14,302,590,878,1166,1454],"native_values":[377,786,409,486,77,454],"rotation_degrees":2.9166666666666665,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":302,"clock_position":302,"value":786},{"alpha_index":590,"clock_position":590,"value":409},{"alpha_index":878,"clock_position":878,"value":486},{"alpha_index":1166,"clock_position":1166,"value":77},{"alpha_index":1454,"clock_position":1454,"value":454}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,303,591,879,1167,1455],"clock_positions":[15,303,591,879,1167,1455],"native_values":[610,548,801,253,315,62],"rotation_degrees":3.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":303,"clock_position":303,"value":548},{"alpha_index":591,"clock_position":591,"value":801},{"alpha_index":879,"clock_position":879,"value":253},{"alpha_index":1167,"clock_position":1167,"value":315},{"alpha_index":1455,"clock_position":1455,"value":62}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,304,592,880,1168,1456],"clock_positions":[16,304,592,880,1168,1456],"native_values":[124,471,347,739,392,516],"rotation_degrees":3.3333333333333335,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":124},{"alpha_index":304,"clock_position":304,"value":471},{"alpha_index":592,"clock_position":592,"value":347},{"alpha_index":880,"clock_position":880,"value":739},{"alpha_index":1168,"clock_position":1168,"value":392},{"alpha_index":1456,"clock_position":1456,"value":516}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,305,593,881,1169,1457],"clock_positions":[17,305,593,881,1169,1457],"native_values":[734,156,285,129,707,578],"rotation_degrees":3.5416666666666665,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":734},{"alpha_index":305,"clock_position":305,"value":156},{"alpha_index":593,"clock_position":593,"value":285},{"alpha_index":881,"clock_position":881,"value":129},{"alpha_index":1169,"clock_position":1169,"value":707},{"alpha_index":1457,"clock_position":1457,"value":578}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,306,594,882,1170,1458],"clock_positions":[18,306,594,882,1170,1458],"native_values":[858,627,632,5,236,231],"rotation_degrees":3.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":858},{"alpha_index":306,"clock_position":306,"value":627},{"alpha_index":594,"clock_position":594,"value":632},{"alpha_index":882,"clock_position":882,"value":5},{"alpha_index":1170,"clock_position":1170,"value":236},{"alpha_index":1458,"clock_position":1458,"value":231}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,307,595,883,1171,1459],"clock_positions":[19,307,595,883,1171,1459],"native_values":[729,783,54,134,80,809],"rotation_degrees":3.9583333333333335,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":729},{"alpha_index":307,"clock_position":307,"value":783},{"alpha_index":595,"clock_position":595,"value":54},{"alpha_index":883,"clock_position":883,"value":134},{"alpha_index":1171,"clock_position":1171,"value":80},{"alpha_index":1459,"clock_position":1459,"value":809}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,308,596,884,1172,1460],"clock_positions":[20,308,596,884,1172,1460],"native_values":[724,547,686,139,316,177],"rotation_degrees":4.166666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":724},{"alpha_index":308,"clock_position":308,"value":547},{"alpha_index":596,"clock_position":596,"value":686},{"alpha_index":884,"clock_position":884,"value":139},{"alpha_index":1172,"clock_position":1172,"value":316},{"alpha_index":1460,"clock_position":1460,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,309,597,885,1173,1461],"clock_positions":[21,309,597,885,1173,1461],"native_values":[590,467,740,273,396,123],"rotation_degrees":4.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":590},{"alpha_index":309,"clock_position":309,"value":467},{"alpha_index":597,"clock_position":597,"value":740},{"alpha_index":885,"clock_position":885,"value":273},{"alpha_index":1173,"clock_position":1173,"value":396},{"alpha_index":1461,"clock_position":1461,"value":123}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,310,598,886,1174,1462],"clock_positions":[22,310,598,886,1174,1462],"native_values":[451,151,563,412,712,300],"rotation_degrees":4.583333333333333,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":451},{"alpha_index":310,"clock_position":310,"value":151},{"alpha_index":598,"clock_position":598,"value":563},{"alpha_index":886,"clock_position":886,"value":412},{"alpha_index":1174,"clock_position":1174,"value":712},{"alpha_index":1462,"clock_position":1462,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,311,599,887,1175,1463],"clock_positions":[23,311,599,887,1175,1463],"native_values":[178,618,440,685,245,423],"rotation_degrees":4.791666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":178},{"alpha_index":311,"clock_position":311,"value":618},{"alpha_index":599,"clock_position":599,"value":440},{"alpha_index":887,"clock_position":887,"value":685},{"alpha_index":1175,"clock_position":1175,"value":245},{"alpha_index":1463,"clock_position":1463,"value":423}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,312,600,888,1176,1464],"clock_positions":[24,312,600,888,1176,1464],"native_values":[629,769,140,234,94,723],"rotation_degrees":5.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":629},{"alpha_index":312,"clock_position":312,"value":769},{"alpha_index":600,"clock_position":600,"value":140},{"alpha_index":888,"clock_position":888,"value":234},{"alpha_index":1176,"clock_position":1176,"value":94},{"alpha_index":1464,"clock_position":1464,"value":723}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,313,601,889,1177,1465],"clock_positions":[25,313,601,889,1177,1465],"native_values":[807,524,580,56,339,283],"rotation_degrees":5.208333333333333,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":807},{"alpha_index":313,"clock_position":313,"value":524},{"alpha_index":601,"clock_position":601,"value":580},{"alpha_index":889,"clock_position":889,"value":56},{"alpha_index":1177,"clock_position":1177,"value":339},{"alpha_index":1465,"clock_position":1465,"value":283}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,314,602,890,1178,1466],"clock_positions":[26,314,602,890,1178,1466],"native_values":[573,430,720,290,433,143],"rotation_degrees":5.416666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":573},{"alpha_index":314,"clock_position":314,"value":430},{"alpha_index":602,"clock_position":602,"value":720},{"alpha_index":890,"clock_position":890,"value":290},{"alpha_index":1178,"clock_position":1178,"value":433},{"alpha_index":1466,"clock_position":1466,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,315,603,891,1179,1467],"clock_positions":[27,315,603,891,1179,1467],"native_values":[517,91,437,346,772,426],"rotation_degrees":5.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":517},{"alpha_index":315,"clock_position":315,"value":91},{"alpha_index":603,"clock_position":603,"value":437},{"alpha_index":891,"clock_position":891,"value":346},{"alpha_index":1179,"clock_position":1179,"value":772},{"alpha_index":1467,"clock_position":1467,"value":426}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,316,604,892,1180,1468],"clock_positions":[28,316,604,892,1180,1468],"native_values":[227,521,294,636,342,569],"rotation_degrees":5.833333333333333,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":227},{"alpha_index":316,"clock_position":316,"value":521},{"alpha_index":604,"clock_position":604,"value":294},{"alpha_index":892,"clock_position":892,"value":636},{"alpha_index":1180,"clock_position":1180,"value":342},{"alpha_index":1468,"clock_position":1468,"value":569}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,317,605,893,1181,1469],"clock_positions":[29,317,605,893,1181,1469],"native_values":[744,612,731,119,251,132],"rotation_degrees":6.041666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":744},{"alpha_index":317,"clock_position":317,"value":612},{"alpha_index":605,"clock_position":605,"value":731},{"alpha_index":893,"clock_position":893,"value":119},{"alpha_index":1181,"clock_position":1181,"value":251},{"alpha_index":1469,"clock_position":1469,"value":132}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,318,606,894,1182,1470],"clock_positions":[30,318,606,894,1182,1470],"native_values":[108,270,162,755,593,701],"rotation_degrees":6.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":108},{"alpha_index":318,"clock_position":318,"value":270},{"alpha_index":606,"clock_position":606,"value":162},{"alpha_index":894,"clock_position":894,"value":755},{"alpha_index":1182,"clock_position":1182,"value":593},{"alpha_index":1470,"clock_position":1470,"value":701}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,319,607,895,1183,1471],"clock_positions":[31,319,607,895,1183,1471],"native_values":[852,19,30,11,844,833],"rotation_degrees":6.458333333333333,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":852},{"alpha_index":319,"clock_position":319,"value":19},{"alpha_index":607,"clock_position":607,"value":30},{"alpha_index":895,"clock_position":895,"value":11},{"alpha_index":1183,"clock_position":1183,"value":844},{"alpha_index":1471,"clock_position":1471,"value":833}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,320,608,896,1184,1472],"clock_positions":[32,320,608,896,1184,1472],"native_values":[97,289,192,766,574,671],"rotation_degrees":6.666666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":97},{"alpha_index":320,"clock_position":320,"value":289},{"alpha_index":608,"clock_position":608,"value":192},{"alpha_index":896,"clock_position":896,"value":766},{"alpha_index":1184,"clock_position":1184,"value":574},{"alpha_index":1472,"clock_position":1472,"value":671}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,321,609,897,1185,1473],"clock_positions":[33,321,609,897,1185,1473],"native_values":[86,308,222,777,555,641],"rotation_degrees":6.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":86},{"alpha_index":321,"clock_position":321,"value":308},{"alpha_index":609,"clock_position":609,"value":222},{"alpha_index":897,"clock_position":897,"value":777},{"alpha_index":1185,"clock_position":1185,"value":555},{"alpha_index":1473,"clock_position":1473,"value":641}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,322,610,898,1186,1474],"clock_positions":[34,322,610,898,1186,1474],"native_values":[183,597,414,680,266,449],"rotation_degrees":7.083333333333333,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":183},{"alpha_index":322,"clock_position":322,"value":597},{"alpha_index":610,"clock_position":610,"value":414},{"alpha_index":898,"clock_position":898,"value":680},{"alpha_index":1186,"clock_position":1186,"value":266},{"alpha_index":1474,"clock_position":1474,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,323,611,899,1187,1475],"clock_positions":[35,323,611,899,1187,1475],"native_values":[269,42,636,594,821,227],"rotation_degrees":7.291666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":269},{"alpha_index":323,"clock_position":323,"value":42},{"alpha_index":611,"clock_position":611,"value":636},{"alpha_index":899,"clock_position":899,"value":594},{"alpha_index":1187,"clock_position":1187,"value":821},{"alpha_index":1475,"clock_position":1475,"value":227}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,324,612,900,1188,1476],"clock_positions":[36,324,612,900,1188,1476],"native_values":[452,639,187,411,224,676],"rotation_degrees":7.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":452},{"alpha_index":324,"clock_position":324,"value":639},{"alpha_index":612,"clock_position":612,"value":187},{"alpha_index":900,"clock_position":900,"value":411},{"alpha_index":1188,"clock_position":1188,"value":224},{"alpha_index":1476,"clock_position":1476,"value":676}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,325,613,901,1189,1477],"clock_positions":[37,325,613,901,1189,1477],"native_values":[721,681,823,142,182,40],"rotation_degrees":7.708333333333333,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":721},{"alpha_index":325,"clock_position":325,"value":681},{"alpha_index":613,"clock_position":613,"value":823},{"alpha_index":901,"clock_position":901,"value":142},{"alpha_index":1189,"clock_position":1189,"value":182},{"alpha_index":1477,"clock_position":1477,"value":40}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,326,614,902,1190,1478],"clock_positions":[38,326,614,902,1190,1478],"native_values":[310,457,147,553,406,716],"rotation_degrees":7.916666666666667,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":310},{"alpha_index":326,"clock_position":326,"value":457},{"alpha_index":614,"clock_position":614,"value":147},{"alpha_index":902,"clock_position":902,"value":553},{"alpha_index":1190,"clock_position":1190,"value":406},{"alpha_index":1478,"clock_position":1478,"value":716}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,327,615,903,1191,1479],"clock_positions":[39,327,615,903,1191,1479],"native_values":[168,275,107,695,588,756],"rotation_degrees":8.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":168},{"alpha_index":327,"clock_position":327,"value":275},{"alpha_index":615,"clock_position":615,"value":107},{"alpha_index":903,"clock_position":903,"value":695},{"alpha_index":1191,"clock_position":1191,"value":588},{"alpha_index":1479,"clock_position":1479,"value":756}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,328,616,904,1192,1480],"clock_positions":[40,328,616,904,1192,1480],"native_values":[478,732,254,385,131,609],"rotation_degrees":8.333333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":478},{"alpha_index":328,"clock_position":328,"value":732},{"alpha_index":616,"clock_position":616,"value":254},{"alpha_index":904,"clock_position":904,"value":385},{"alpha_index":1192,"clock_position":1192,"value":131},{"alpha_index":1480,"clock_position":1480,"value":609}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,329,617,905,1193,1481],"clock_positions":[41,329,617,905,1193,1481],"native_values":[646,144,361,217,719,502],"rotation_degrees":8.541666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":646},{"alpha_index":329,"clock_position":329,"value":144},{"alpha_index":617,"clock_position":617,"value":361},{"alpha_index":905,"clock_position":905,"value":217},{"alpha_index":1193,"clock_position":1193,"value":719},{"alpha_index":1481,"clock_position":1481,"value":502}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,330,618,906,1194,1482],"clock_positions":[42,330,618,906,1194,1482],"native_values":[261,13,615,602,850,248],"rotation_degrees":8.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":261},{"alpha_index":330,"clock_position":330,"value":13},{"alpha_index":618,"clock_position":618,"value":615},{"alpha_index":906,"clock_position":906,"value":602},{"alpha_index":1194,"clock_position":1194,"value":850},{"alpha_index":1482,"clock_position":1482,"value":248}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,331,619,907,1195,1483],"clock_positions":[43,331,619,907,1195,1483],"native_values":[44,157,113,819,706,750],"rotation_degrees":8.958333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":44},{"alpha_index":331,"clock_position":331,"value":157},{"alpha_index":619,"clock_position":619,"value":113},{"alpha_index":907,"clock_position":907,"value":819},{"alpha_index":1195,"clock_position":1195,"value":706},{"alpha_index":1483,"clock_position":1483,"value":750}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,332,620,908,1196,1484],"clock_positions":[44,332,620,908,1196,1484],"native_values":[305,170,728,558,693,135],"rotation_degrees":9.166666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":305},{"alpha_index":332,"clock_position":332,"value":170},{"alpha_index":620,"clock_position":620,"value":728},{"alpha_index":908,"clock_position":908,"value":558},{"alpha_index":1196,"clock_position":1196,"value":693},{"alpha_index":1484,"clock_position":1484,"value":135}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,333,621,909,1197,1485],"clock_positions":[45,333,621,909,1197,1485],"native_values":[349,327,841,514,536,22],"rotation_degrees":9.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":349},{"alpha_index":333,"clock_position":333,"value":327},{"alpha_index":621,"clock_position":621,"value":841},{"alpha_index":909,"clock_position":909,"value":514},{"alpha_index":1197,"clock_position":1197,"value":536},{"alpha_index":1485,"clock_position":1485,"value":22}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,334,622,910,1198,1486],"clock_positions":[46,334,622,910,1198,1486],"native_values":[654,497,706,209,366,157],"rotation_degrees":9.583333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":654},{"alpha_index":334,"clock_position":334,"value":497},{"alpha_index":622,"clock_position":622,"value":706},{"alpha_index":910,"clock_position":910,"value":209},{"alpha_index":1198,"clock_position":1198,"value":366},{"alpha_index":1486,"clock_position":1486,"value":157}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,335,623,911,1199,1487],"clock_positions":[47,335,623,911,1199,1487],"native_values":[140,824,684,723,39,179],"rotation_degrees":9.791666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":140},{"alpha_index":335,"clock_position":335,"value":824},{"alpha_index":623,"clock_position":623,"value":684},{"alpha_index":911,"clock_position":911,"value":723},{"alpha_index":1199,"clock_position":1199,"value":39},{"alpha_index":1487,"clock_position":1487,"value":179}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,336,624,912,1200,1488],"clock_positions":[48,336,624,912,1200,1488],"native_values":[794,458,527,69,405,336],"rotation_degrees":10.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":794},{"alpha_index":336,"clock_position":336,"value":458},{"alpha_index":624,"clock_position":624,"value":527},{"alpha_index":912,"clock_position":912,"value":69},{"alpha_index":1200,"clock_position":1200,"value":405},{"alpha_index":1488,"clock_position":1488,"value":336}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,337,625,913,1201,1489],"clock_positions":[49,337,625,913,1201,1489],"native_values":[71,419,348,792,444,515],"rotation_degrees":10.208333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":71},{"alpha_index":337,"clock_position":337,"value":419},{"alpha_index":625,"clock_position":625,"value":348},{"alpha_index":913,"clock_position":913,"value":792},{"alpha_index":1201,"clock_position":1201,"value":444},{"alpha_index":1489,"clock_position":1489,"value":515}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,338,626,914,1202,1490],"clock_positions":[50,338,626,914,1202,1490],"native_values":[2,14,12,861,849,851],"rotation_degrees":10.416666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":2},{"alpha_index":338,"clock_position":338,"value":14},{"alpha_index":626,"clock_position":626,"value":12},{"alpha_index":914,"clock_position":914,"value":861},{"alpha_index":1202,"clock_position":1202,"value":849},{"alpha_index":1490,"clock_position":1490,"value":851}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,339,627,915,1203,1491],"clock_positions":[51,339,627,915,1203,1491],"native_values":[73,433,360,790,430,503],"rotation_degrees":10.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":73},{"alpha_index":339,"clock_position":339,"value":433},{"alpha_index":627,"clock_position":627,"value":360},{"alpha_index":915,"clock_position":915,"value":790},{"alpha_index":1203,"clock_position":1203,"value":430},{"alpha_index":1491,"clock_position":1491,"value":503}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,340,628,916,1204,1492],"clock_positions":[52,340,628,916,1204,1492],"native_values":[75,447,372,788,416,491],"rotation_degrees":10.833333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":75},{"alpha_index":340,"clock_position":340,"value":447},{"alpha_index":628,"clock_position":628,"value":372},{"alpha_index":916,"clock_position":916,"value":788},{"alpha_index":1204,"clock_position":1204,"value":416},{"alpha_index":1492,"clock_position":1492,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,341,629,917,1205,1493],"clock_positions":[53,341,629,917,1205,1493],"native_values":[148,17,732,715,846,131],"rotation_degrees":11.041666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":148},{"alpha_index":341,"clock_position":341,"value":17},{"alpha_index":629,"clock_position":629,"value":732},{"alpha_index":917,"clock_position":917,"value":715},{"alpha_index":1205,"clock_position":1205,"value":846},{"alpha_index":1493,"clock_position":1493,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,342,630,918,1206,1494],"clock_positions":[54,342,630,918,1206,1494],"native_values":[223,464,241,640,399,622],"rotation_degrees":11.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":223},{"alpha_index":342,"clock_position":342,"value":464},{"alpha_index":630,"clock_position":630,"value":241},{"alpha_index":918,"clock_position":918,"value":640},{"alpha_index":1206,"clock_position":1206,"value":399},{"alpha_index":1494,"clock_position":1494,"value":622}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,343,631,919,1207,1495],"clock_positions":[55,343,631,919,1207,1495],"native_values":[371,481,110,492,382,753],"rotation_degrees":11.458333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":371},{"alpha_index":343,"clock_position":343,"value":481},{"alpha_index":631,"clock_position":631,"value":110},{"alpha_index":919,"clock_position":919,"value":492},{"alpha_index":1207,"clock_position":1207,"value":382},{"alpha_index":1495,"clock_position":1495,"value":753}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,344,632,920,1208,1496],"clock_positions":[56,344,632,920,1208,1496],"native_values":[594,82,351,269,781,512],"rotation_degrees":11.666666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":594},{"alpha_index":344,"clock_position":344,"value":82},{"alpha_index":632,"clock_position":632,"value":351},{"alpha_index":920,"clock_position":920,"value":269},{"alpha_index":1208,"clock_position":1208,"value":781},{"alpha_index":1496,"clock_position":1496,"value":512}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,345,633,921,1209,1497],"clock_positions":[57,345,633,921,1209,1497],"native_values":[102,563,461,761,300,402],"rotation_degrees":11.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":102},{"alpha_index":345,"clock_position":345,"value":563},{"alpha_index":633,"clock_position":633,"value":461},{"alpha_index":921,"clock_position":921,"value":761},{"alpha_index":1209,"clock_position":1209,"value":300},{"alpha_index":1497,"clock_position":1497,"value":402}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,346,634,922,1210,1498],"clock_positions":[58,346,634,922,1210,1498],"native_values":[696,645,812,167,218,51],"rotation_degrees":12.083333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":696},{"alpha_index":346,"clock_position":346,"value":645},{"alpha_index":634,"clock_position":634,"value":812},{"alpha_index":922,"clock_position":922,"value":167},{"alpha_index":1210,"clock_position":1210,"value":218},{"alpha_index":1498,"clock_position":1498,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,347,635,923,1211,1499],"clock_positions":[59,347,635,923,1211,1499],"native_values":[798,345,410,65,518,453],"rotation_degrees":12.291666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":798},{"alpha_index":347,"clock_position":347,"value":345},{"alpha_index":635,"clock_position":635,"value":410},{"alpha_index":923,"clock_position":923,"value":65},{"alpha_index":1211,"clock_position":1211,"value":518},{"alpha_index":1499,"clock_position":1499,"value":453}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,348,636,924,1212,1500],"clock_positions":[60,348,636,924,1212,1500],"native_values":[631,127,359,232,736,504],"rotation_degrees":12.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":631},{"alpha_index":348,"clock_position":348,"value":127},{"alpha_index":636,"clock_position":636,"value":359},{"alpha_index":924,"clock_position":924,"value":232},{"alpha_index":1212,"clock_position":1212,"value":736},{"alpha_index":1500,"clock_position":1500,"value":504}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,349,637,925,1213,1501],"clock_positions":[61,349,637,925,1213,1501],"native_values":[566,472,769,297,391,94],"rotation_degrees":12.708333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":566},{"alpha_index":349,"clock_position":349,"value":472},{"alpha_index":637,"clock_position":637,"value":769},{"alpha_index":925,"clock_position":925,"value":297},{"alpha_index":1213,"clock_position":1213,"value":391},{"alpha_index":1501,"clock_position":1501,"value":94}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,350,638,926,1214,1502],"clock_positions":[62,350,638,926,1214,1502],"native_values":[334,599,265,529,264,598],"rotation_degrees":12.916666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":334},{"alpha_index":350,"clock_position":350,"value":599},{"alpha_index":638,"clock_position":638,"value":265},{"alpha_index":926,"clock_position":926,"value":529},{"alpha_index":1214,"clock_position":1214,"value":264},{"alpha_index":1502,"clock_position":1502,"value":598}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,351,639,927,1215,1503],"clock_positions":[63,351,639,927,1215,1503],"native_values":[37,208,171,826,655,692],"rotation_degrees":13.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":37},{"alpha_index":351,"clock_position":351,"value":208},{"alpha_index":639,"clock_position":639,"value":171},{"alpha_index":927,"clock_position":927,"value":826},{"alpha_index":1215,"clock_position":1215,"value":655},{"alpha_index":1503,"clock_position":1503,"value":692}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,352,640,928,1216,1504],"clock_positions":[64,352,640,928,1216,1504],"native_values":[371,807,436,492,56,427],"rotation_degrees":13.333333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":371},{"alpha_index":352,"clock_position":352,"value":807},{"alpha_index":640,"clock_position":640,"value":436},{"alpha_index":928,"clock_position":928,"value":492},{"alpha_index":1216,"clock_position":1216,"value":56},{"alpha_index":1504,"clock_position":1504,"value":427}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,353,641,929,1217,1505],"clock_positions":[65,353,641,929,1217,1505],"native_values":[408,152,607,455,711,256],"rotation_degrees":13.541666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":408},{"alpha_index":353,"clock_position":353,"value":152},{"alpha_index":641,"clock_position":641,"value":607},{"alpha_index":929,"clock_position":929,"value":455},{"alpha_index":1217,"clock_position":1217,"value":711},{"alpha_index":1505,"clock_position":1505,"value":256}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,354,642,930,1218,1506],"clock_positions":[66,354,642,930,1218,1506],"native_values":[779,96,180,84,767,683],"rotation_degrees":13.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":779},{"alpha_index":354,"clock_position":354,"value":96},{"alpha_index":642,"clock_position":642,"value":180},{"alpha_index":930,"clock_position":930,"value":84},{"alpha_index":1218,"clock_position":1218,"value":767},{"alpha_index":1506,"clock_position":1506,"value":683}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,355,643,931,1219,1507],"clock_positions":[67,355,643,931,1219,1507],"native_values":[324,248,787,539,615,76],"rotation_degrees":13.958333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":324},{"alpha_index":355,"clock_position":355,"value":248},{"alpha_index":643,"clock_position":643,"value":787},{"alpha_index":931,"clock_position":931,"value":539},{"alpha_index":1219,"clock_position":1219,"value":615},{"alpha_index":1507,"clock_position":1507,"value":76}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,356,644,932,1220,1508],"clock_positions":[68,356,644,932,1220,1508],"native_values":[240,344,104,623,519,759],"rotation_degrees":14.166666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":240},{"alpha_index":356,"clock_position":356,"value":344},{"alpha_index":644,"clock_position":644,"value":104},{"alpha_index":932,"clock_position":932,"value":623},{"alpha_index":1220,"clock_position":1220,"value":519},{"alpha_index":1508,"clock_position":1508,"value":759}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,357,645,933,1221,1509],"clock_positions":[69,357,645,933,1221,1509],"native_values":[564,592,28,299,271,835],"rotation_degrees":14.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":564},{"alpha_index":357,"clock_position":357,"value":592},{"alpha_index":645,"clock_position":645,"value":28},{"alpha_index":933,"clock_position":933,"value":299},{"alpha_index":1221,"clock_position":1221,"value":271},{"alpha_index":1509,"clock_position":1509,"value":835}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,358,646,934,1222,1510],"clock_positions":[70,358,646,934,1222,1510],"native_values":[804,73,132,59,790,731],"rotation_degrees":14.583333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":804},{"alpha_index":358,"clock_position":358,"value":73},{"alpha_index":646,"clock_position":646,"value":132},{"alpha_index":934,"clock_position":934,"value":59},{"alpha_index":1222,"clock_position":1222,"value":790},{"alpha_index":1510,"clock_position":1510,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,359,647,935,1223,1511],"clock_positions":[71,359,647,935,1223,1511],"native_values":[505,665,160,358,198,703],"rotation_degrees":14.791666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":505},{"alpha_index":359,"clock_position":359,"value":665},{"alpha_index":647,"clock_position":647,"value":160},{"alpha_index":935,"clock_position":935,"value":358},{"alpha_index":1223,"clock_position":1223,"value":198},{"alpha_index":1511,"clock_position":1511,"value":703}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,360,648,936,1224,1512],"clock_positions":[72,360,648,936,1224,1512],"native_values":[446,738,292,417,125,571],"rotation_degrees":15.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":446},{"alpha_index":360,"clock_position":360,"value":738},{"alpha_index":648,"clock_position":648,"value":292},{"alpha_index":936,"clock_position":936,"value":417},{"alpha_index":1224,"clock_position":1224,"value":125},{"alpha_index":1512,"clock_position":1512,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,361,649,937,1225,1513],"clock_positions":[73,361,649,937,1225,1513],"native_values":[88,540,452,775,323,411],"rotation_degrees":15.208333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":88},{"alpha_index":361,"clock_position":361,"value":540},{"alpha_index":649,"clock_position":649,"value":452},{"alpha_index":937,"clock_position":937,"value":775},{"alpha_index":1225,"clock_position":1225,"value":323},{"alpha_index":1513,"clock_position":1513,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,362,650,938,1226,1514],"clock_positions":[74,362,650,938,1226,1514],"native_values":[534,415,744,329,448,119],"rotation_degrees":15.416666666666666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":534},{"alpha_index":362,"clock_position":362,"value":415},{"alpha_index":650,"clock_position":650,"value":744},{"alpha_index":938,"clock_position":938,"value":329},{"alpha_index":1226,"clock_position":1226,"value":448},{"alpha_index":1514,"clock_position":1514,"value":119}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,363,651,939,1227,1515],"clock_positions":[75,363,651,939,1227,1515],"native_values":[622,92,333,241,771,530],"rotation_degrees":15.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":622},{"alpha_index":363,"clock_position":363,"value":92},{"alpha_index":651,"clock_position":651,"value":333},{"alpha_index":939,"clock_position":939,"value":241},{"alpha_index":1227,"clock_position":1227,"value":771},{"alpha_index":1515,"clock_position":1515,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,364,652,940,1228,1516],"clock_positions":[76,364,652,940,1228,1516],"native_values":[293,507,214,570,356,649],"rotation_degrees":15.833333333333334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":293},{"alpha_index":364,"clock_position":364,"value":507},{"alpha_index":652,"clock_position":652,"value":214},{"alpha_index":940,"clock_position":940,"value":570},{"alpha_index":1228,"clock_position":1228,"value":356},{"alpha_index":1516,"clock_position":1516,"value":649}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,365,653,941,1229,1517],"clock_positions":[77,365,653,941,1229,1517],"native_values":[52,599,547,811,264,316],"rotation_degrees":16.041666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":52},{"alpha_index":365,"clock_position":365,"value":599},{"alpha_index":653,"clock_position":653,"value":547},{"alpha_index":941,"clock_position":941,"value":811},{"alpha_index":1229,"clock_position":1229,"value":264},{"alpha_index":1517,"clock_position":1517,"value":316}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,366,654,942,1230,1518],"clock_positions":[78,366,654,942,1230,1518],"native_values":[345,243,761,518,620,102],"rotation_degrees":16.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":345},{"alpha_index":366,"clock_position":366,"value":243},{"alpha_index":654,"clock_position":654,"value":761},{"alpha_index":942,"clock_position":942,"value":518},{"alpha_index":1230,"clock_position":1230,"value":620},{"alpha_index":1518,"clock_position":1518,"value":102}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,367,655,943,1231,1519],"clock_positions":[79,367,655,943,1231,1519],"native_values":[397,842,445,466,21,418],"rotation_degrees":16.458333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":397},{"alpha_index":367,"clock_position":367,"value":842},{"alpha_index":655,"clock_position":655,"value":445},{"alpha_index":943,"clock_position":943,"value":466},{"alpha_index":1231,"clock_position":1231,"value":21},{"alpha_index":1519,"clock_position":1519,"value":418}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,368,656,944,1232,1520],"clock_positions":[80,368,656,944,1232,1520],"native_values":[742,222,343,121,641,520],"rotation_degrees":16.666666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":742},{"alpha_index":368,"clock_position":368,"value":222},{"alpha_index":656,"clock_position":656,"value":343},{"alpha_index":944,"clock_position":944,"value":121},{"alpha_index":1232,"clock_position":1232,"value":641},{"alpha_index":1520,"clock_position":1520,"value":520}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,369,657,945,1233,1521],"clock_positions":[81,369,657,945,1233,1521],"native_values":[276,201,788,587,662,75],"rotation_degrees":16.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":276},{"alpha_index":369,"clock_position":369,"value":201},{"alpha_index":657,"clock_position":657,"value":788},{"alpha_index":945,"clock_position":945,"value":587},{"alpha_index":1233,"clock_position":1233,"value":662},{"alpha_index":1521,"clock_position":1521,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,370,658,946,1234,1522],"clock_positions":[82,370,658,946,1234,1522],"native_values":[155,423,268,708,440,595],"rotation_degrees":17.083333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":155},{"alpha_index":370,"clock_position":370,"value":423},{"alpha_index":658,"clock_position":658,"value":268},{"alpha_index":946,"clock_position":946,"value":708},{"alpha_index":1234,"clock_position":1234,"value":440},{"alpha_index":1522,"clock_position":1522,"value":595}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,371,659,947,1235,1523],"clock_positions":[83,371,659,947,1235,1523],"native_values":[431,624,193,432,239,670],"rotation_degrees":17.291666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":431},{"alpha_index":371,"clock_position":371,"value":624},{"alpha_index":659,"clock_position":659,"value":193},{"alpha_index":947,"clock_position":947,"value":432},{"alpha_index":1235,"clock_position":1235,"value":239},{"alpha_index":1523,"clock_position":1523,"value":670}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,372,660,948,1236,1524],"clock_positions":[84,372,660,948,1236,1524],"native_values":[586,184,461,277,679,402],"rotation_degrees":17.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":586},{"alpha_index":372,"clock_position":372,"value":184},{"alpha_index":660,"clock_position":660,"value":461},{"alpha_index":948,"clock_position":948,"value":277},{"alpha_index":1236,"clock_position":1236,"value":679},{"alpha_index":1524,"clock_position":1524,"value":402}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,373,661,949,1237,1525],"clock_positions":[85,373,661,949,1237,1525],"native_values":[154,808,654,709,55,209],"rotation_degrees":17.708333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":154},{"alpha_index":373,"clock_position":373,"value":808},{"alpha_index":661,"clock_position":661,"value":654},{"alpha_index":949,"clock_position":949,"value":709},{"alpha_index":1237,"clock_position":1237,"value":55},{"alpha_index":1525,"clock_position":1525,"value":209}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,374,662,950,1238,1526],"clock_positions":[86,374,662,950,1238,1526],"native_values":[740,129,252,123,734,611],"rotation_degrees":17.916666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":740},{"alpha_index":374,"clock_position":374,"value":129},{"alpha_index":662,"clock_position":662,"value":252},{"alpha_index":950,"clock_position":950,"value":123},{"alpha_index":1238,"clock_position":1238,"value":734},{"alpha_index":1526,"clock_position":1526,"value":611}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,375,663,951,1239,1527],"clock_positions":[87,375,663,951,1239,1527],"native_values":[31,74,43,832,789,820],"rotation_degrees":18.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":31},{"alpha_index":375,"clock_position":375,"value":74},{"alpha_index":663,"clock_position":663,"value":43},{"alpha_index":951,"clock_position":951,"value":832},{"alpha_index":1239,"clock_position":1239,"value":789},{"alpha_index":1527,"clock_position":1527,"value":820}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,376,664,952,1240,1528],"clock_positions":[88,376,664,952,1240,1528],"native_values":[771,203,295,92,660,568],"rotation_degrees":18.333333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":771},{"alpha_index":376,"clock_position":376,"value":203},{"alpha_index":664,"clock_position":664,"value":295},{"alpha_index":952,"clock_position":952,"value":92},{"alpha_index":1240,"clock_position":1240,"value":660},{"alpha_index":1528,"clock_position":1528,"value":568}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,377,665,953,1241,1529],"clock_positions":[89,377,665,953,1241,1529],"native_values":[802,277,338,61,586,525],"rotation_degrees":18.541666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":802},{"alpha_index":377,"clock_position":377,"value":277},{"alpha_index":665,"clock_position":665,"value":338},{"alpha_index":953,"clock_position":953,"value":61},{"alpha_index":1241,"clock_position":1241,"value":586},{"alpha_index":1529,"clock_position":1529,"value":525}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,378,666,954,1242,1530],"clock_positions":[90,378,666,954,1242,1530],"native_values":[710,480,633,153,383,230],"rotation_degrees":18.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":710},{"alpha_index":378,"clock_position":378,"value":480},{"alpha_index":666,"clock_position":666,"value":633},{"alpha_index":954,"clock_position":954,"value":153},{"alpha_index":1242,"clock_position":1242,"value":383},{"alpha_index":1530,"clock_position":1530,"value":230}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,379,667,955,1243,1531],"clock_positions":[91,379,667,955,1243,1531],"native_values":[649,757,108,214,106,755],"rotation_degrees":18.958333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":649},{"alpha_index":379,"clock_position":379,"value":757},{"alpha_index":667,"clock_position":667,"value":108},{"alpha_index":955,"clock_position":955,"value":214},{"alpha_index":1243,"clock_position":1243,"value":106},{"alpha_index":1531,"clock_position":1531,"value":755}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,380,668,956,1244,1532],"clock_positions":[92,380,668,956,1244,1532],"native_values":[496,374,741,367,489,122],"rotation_degrees":19.166666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":496},{"alpha_index":380,"clock_position":380,"value":374},{"alpha_index":668,"clock_position":668,"value":741},{"alpha_index":956,"clock_position":956,"value":367},{"alpha_index":1244,"clock_position":1244,"value":489},{"alpha_index":1532,"clock_position":1532,"value":122}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,381,669,957,1245,1533],"clock_positions":[93,381,669,957,1245,1533],"native_values":[282,268,849,581,595,14],"rotation_degrees":19.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":282},{"alpha_index":381,"clock_position":381,"value":268},{"alpha_index":669,"clock_position":669,"value":849},{"alpha_index":957,"clock_position":957,"value":581},{"alpha_index":1245,"clock_position":1245,"value":595},{"alpha_index":1533,"clock_position":1533,"value":14}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,382,670,958,1246,1534],"clock_positions":[94,382,670,958,1246,1534],"native_values":[778,642,727,85,221,136],"rotation_degrees":19.583333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":778},{"alpha_index":382,"clock_position":382,"value":642},{"alpha_index":670,"clock_position":670,"value":727},{"alpha_index":958,"clock_position":958,"value":85},{"alpha_index":1246,"clock_position":1246,"value":221},{"alpha_index":1534,"clock_position":1534,"value":136}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,383,671,959,1247,1535],"clock_positions":[95,383,671,959,1247,1535],"native_values":[197,47,713,666,816,150],"rotation_degrees":19.791666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":197},{"alpha_index":383,"clock_position":383,"value":47},{"alpha_index":671,"clock_position":671,"value":713},{"alpha_index":959,"clock_position":959,"value":666},{"alpha_index":1247,"clock_position":1247,"value":816},{"alpha_index":1535,"clock_position":1535,"value":150}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,384,672,960,1248,1536],"clock_positions":[96,384,672,960,1248,1536],"native_values":[112,689,577,751,174,286],"rotation_degrees":20.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":112},{"alpha_index":384,"clock_position":384,"value":689},{"alpha_index":672,"clock_position":672,"value":577},{"alpha_index":960,"clock_position":960,"value":751},{"alpha_index":1248,"clock_position":1248,"value":174},{"alpha_index":1536,"clock_position":1536,"value":286}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,385,673,961,1249,1537],"clock_positions":[97,385,673,961,1249,1537],"native_values":[309,736,427,554,127,436],"rotation_degrees":20.208333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":309},{"alpha_index":385,"clock_position":385,"value":736},{"alpha_index":673,"clock_position":673,"value":427},{"alpha_index":961,"clock_position":961,"value":554},{"alpha_index":1249,"clock_position":1249,"value":127},{"alpha_index":1537,"clock_position":1537,"value":436}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,386,674,962,1250,1538],"clock_positions":[98,386,674,962,1250,1538],"native_values":[421,562,141,442,301,722],"rotation_degrees":20.416666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":421},{"alpha_index":386,"clock_position":386,"value":562},{"alpha_index":674,"clock_position":674,"value":141},{"alpha_index":962,"clock_position":962,"value":442},{"alpha_index":1250,"clock_position":1250,"value":301},{"alpha_index":1538,"clock_position":1538,"value":722}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,387,675,963,1251,1539],"clock_positions":[99,387,675,963,1251,1539],"native_values":[730,435,568,133,428,295],"rotation_degrees":20.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":730},{"alpha_index":387,"clock_position":387,"value":435},{"alpha_index":675,"clock_position":675,"value":568},{"alpha_index":963,"clock_position":963,"value":133},{"alpha_index":1251,"clock_position":1251,"value":428},{"alpha_index":1539,"clock_position":1539,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,388,676,964,1252,1540],"clock_positions":[100,388,676,964,1252,1540],"native_values":[288,134,709,575,729,154],"rotation_degrees":20.833333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":288},{"alpha_index":388,"clock_position":388,"value":134},{"alpha_index":676,"clock_position":676,"value":709},{"alpha_index":964,"clock_position":964,"value":575},{"alpha_index":1252,"clock_position":1252,"value":729},{"alpha_index":1540,"clock_position":1540,"value":154}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,389,677,965,1253,1541],"clock_positions":[101,389,677,965,1253,1541],"native_values":[155,569,414,708,294,449],"rotation_degrees":21.041666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":155},{"alpha_index":389,"clock_position":389,"value":569},{"alpha_index":677,"clock_position":677,"value":414},{"alpha_index":965,"clock_position":965,"value":708},{"alpha_index":1253,"clock_position":1253,"value":294},{"alpha_index":1541,"clock_position":1541,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,390,678,966,1254,1542],"clock_positions":[102,390,678,966,1254,1542],"native_values":[443,703,260,420,160,603],"rotation_degrees":21.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":443},{"alpha_index":390,"clock_position":390,"value":703},{"alpha_index":678,"clock_position":678,"value":260},{"alpha_index":966,"clock_position":966,"value":420},{"alpha_index":1254,"clock_position":1254,"value":160},{"alpha_index":1542,"clock_position":1542,"value":603}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,391,679,967,1255,1543],"clock_positions":[103,391,679,967,1255,1543],"native_values":[598,409,674,265,454,189],"rotation_degrees":21.458333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":598},{"alpha_index":391,"clock_position":391,"value":409},{"alpha_index":679,"clock_position":679,"value":674},{"alpha_index":967,"clock_position":967,"value":265},{"alpha_index":1255,"clock_position":1255,"value":454},{"alpha_index":1543,"clock_position":1543,"value":189}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,392,680,968,1256,1544],"clock_positions":[104,392,680,968,1256,1544],"native_values":[178,249,71,685,614,792],"rotation_degrees":21.666666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":178},{"alpha_index":392,"clock_position":392,"value":249},{"alpha_index":680,"clock_position":680,"value":71},{"alpha_index":968,"clock_position":968,"value":685},{"alpha_index":1256,"clock_position":1256,"value":614},{"alpha_index":1544,"clock_position":1544,"value":792}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,393,681,969,1257,1545],"clock_positions":[105,393,681,969,1257,1545],"native_values":[776,658,745,87,205,118],"rotation_degrees":21.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":776},{"alpha_index":393,"clock_position":393,"value":658},{"alpha_index":681,"clock_position":681,"value":745},{"alpha_index":969,"clock_position":969,"value":87},{"alpha_index":1257,"clock_position":1257,"value":205},{"alpha_index":1545,"clock_position":1545,"value":118}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,394,682,970,1258,1546],"clock_positions":[106,394,682,970,1258,1546],"native_values":[91,44,816,772,819,47],"rotation_degrees":22.083333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":91},{"alpha_index":394,"clock_position":394,"value":44},{"alpha_index":682,"clock_position":682,"value":816},{"alpha_index":970,"clock_position":970,"value":772},{"alpha_index":1258,"clock_position":1258,"value":819},{"alpha_index":1546,"clock_position":1546,"value":47}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,395,683,971,1259,1547],"clock_positions":[107,395,683,971,1259,1547],"native_values":[4,702,698,859,161,165],"rotation_degrees":22.291666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":4},{"alpha_index":395,"clock_position":395,"value":702},{"alpha_index":683,"clock_position":683,"value":698},{"alpha_index":971,"clock_position":971,"value":859},{"alpha_index":1259,"clock_position":1259,"value":161},{"alpha_index":1547,"clock_position":1547,"value":165}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,396,684,972,1260,1548],"clock_positions":[108,396,684,972,1260,1548],"native_values":[95,746,651,768,117,212],"rotation_degrees":22.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":95},{"alpha_index":396,"clock_position":396,"value":746},{"alpha_index":684,"clock_position":684,"value":651},{"alpha_index":972,"clock_position":972,"value":768},{"alpha_index":1260,"clock_position":1260,"value":117},{"alpha_index":1548,"clock_position":1548,"value":212}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,397,685,973,1261,1549],"clock_positions":[109,397,685,973,1261,1549],"native_values":[99,585,486,764,278,377],"rotation_degrees":22.708333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":99},{"alpha_index":397,"clock_position":397,"value":585},{"alpha_index":685,"clock_position":685,"value":486},{"alpha_index":973,"clock_position":973,"value":764},{"alpha_index":1261,"clock_position":1261,"value":278},{"alpha_index":1549,"clock_position":1549,"value":377}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,398,686,974,1262,1550],"clock_positions":[110,398,686,974,1262,1550],"native_values":[194,468,274,669,395,589],"rotation_degrees":22.916666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":194},{"alpha_index":398,"clock_position":398,"value":468},{"alpha_index":686,"clock_position":686,"value":274},{"alpha_index":974,"clock_position":974,"value":669},{"alpha_index":1262,"clock_position":1262,"value":395},{"alpha_index":1550,"clock_position":1550,"value":589}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,399,687,975,1263,1551],"clock_positions":[111,399,687,975,1263,1551],"native_values":[293,190,760,570,673,103],"rotation_degrees":23.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":293},{"alpha_index":399,"clock_position":399,"value":190},{"alpha_index":687,"clock_position":687,"value":760},{"alpha_index":975,"clock_position":975,"value":570},{"alpha_index":1263,"clock_position":1263,"value":673},{"alpha_index":1551,"clock_position":1551,"value":103}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,400,688,976,1264,1552],"clock_positions":[112,400,688,976,1264,1552],"native_values":[487,658,171,376,205,692],"rotation_degrees":23.333333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":487},{"alpha_index":400,"clock_position":400,"value":658},{"alpha_index":688,"clock_position":688,"value":171},{"alpha_index":976,"clock_position":976,"value":376},{"alpha_index":1264,"clock_position":1264,"value":205},{"alpha_index":1552,"clock_position":1552,"value":692}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,401,689,977,1265,1553],"clock_positions":[113,401,689,977,1265,1553],"native_values":[780,848,68,83,15,795],"rotation_degrees":23.541666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":780},{"alpha_index":401,"clock_position":401,"value":848},{"alpha_index":689,"clock_position":689,"value":68},{"alpha_index":977,"clock_position":977,"value":83},{"alpha_index":1265,"clock_position":1265,"value":15},{"alpha_index":1553,"clock_position":1553,"value":795}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,402,690,978,1266,1554],"clock_positions":[114,402,690,978,1266,1554],"native_values":[404,643,239,459,220,624],"rotation_degrees":23.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":404},{"alpha_index":402,"clock_position":402,"value":643},{"alpha_index":690,"clock_position":690,"value":239},{"alpha_index":978,"clock_position":978,"value":459},{"alpha_index":1266,"clock_position":1266,"value":220},{"alpha_index":1554,"clock_position":1554,"value":624}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,403,691,979,1267,1555],"clock_positions":[115,403,691,979,1267,1555],"native_values":[321,628,307,542,235,556],"rotation_degrees":23.958333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":321},{"alpha_index":403,"clock_position":403,"value":628},{"alpha_index":691,"clock_position":691,"value":307},{"alpha_index":979,"clock_position":979,"value":542},{"alpha_index":1267,"clock_position":1267,"value":235},{"alpha_index":1555,"clock_position":1555,"value":556}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,404,692,980,1268,1556],"clock_positions":[116,404,692,980,1268,1556],"native_values":[725,408,546,138,455,317],"rotation_degrees":24.166666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":725},{"alpha_index":404,"clock_position":404,"value":408},{"alpha_index":692,"clock_position":692,"value":546},{"alpha_index":980,"clock_position":980,"value":138},{"alpha_index":1268,"clock_position":1268,"value":455},{"alpha_index":1556,"clock_position":1556,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,405,693,981,1269,1557],"clock_positions":[117,405,693,981,1269,1557],"native_values":[183,173,853,680,690,10],"rotation_degrees":24.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":183},{"alpha_index":405,"clock_position":405,"value":173},{"alpha_index":693,"clock_position":693,"value":853},{"alpha_index":981,"clock_position":981,"value":680},{"alpha_index":1269,"clock_position":1269,"value":690},{"alpha_index":1557,"clock_position":1557,"value":10}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,406,694,982,1270,1558],"clock_positions":[118,406,694,982,1270,1558],"native_values":[45,581,536,818,282,327],"rotation_degrees":24.583333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":45},{"alpha_index":406,"clock_position":406,"value":581},{"alpha_index":694,"clock_position":694,"value":536},{"alpha_index":982,"clock_position":982,"value":818},{"alpha_index":1270,"clock_position":1270,"value":282},{"alpha_index":1558,"clock_position":1558,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,407,695,983,1271,1559],"clock_positions":[119,407,695,983,1271,1559],"native_values":[228,754,526,635,109,337],"rotation_degrees":24.791666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":228},{"alpha_index":407,"clock_position":407,"value":754},{"alpha_index":695,"clock_position":695,"value":526},{"alpha_index":983,"clock_position":983,"value":635},{"alpha_index":1271,"clock_position":1271,"value":109},{"alpha_index":1559,"clock_position":1559,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,408,696,984,1272,1560],"clock_positions":[120,408,696,984,1272,1560],"native_values":[273,472,199,590,391,664],"rotation_degrees":25.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":273},{"alpha_index":408,"clock_position":408,"value":472},{"alpha_index":696,"clock_position":696,"value":199},{"alpha_index":984,"clock_position":984,"value":590},{"alpha_index":1272,"clock_position":1272,"value":391},{"alpha_index":1560,"clock_position":1560,"value":664}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,409,697,985,1273,1561],"clock_positions":[121,409,697,985,1273,1561],"native_values":[501,363,725,362,500,138],"rotation_degrees":25.208333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":501},{"alpha_index":409,"clock_position":409,"value":363},{"alpha_index":697,"clock_position":697,"value":725},{"alpha_index":985,"clock_position":985,"value":362},{"alpha_index":1273,"clock_position":1273,"value":500},{"alpha_index":1561,"clock_position":1561,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,410,698,986,1274,1562],"clock_positions":[122,410,698,986,1274,1562],"native_values":[774,835,61,89,28,802],"rotation_degrees":25.416666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":774},{"alpha_index":410,"clock_position":410,"value":835},{"alpha_index":698,"clock_position":698,"value":61},{"alpha_index":986,"clock_position":986,"value":89},{"alpha_index":1274,"clock_position":1274,"value":28},{"alpha_index":1562,"clock_position":1562,"value":802}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,411,699,987,1275,1563],"clock_positions":[123,411,699,987,1275,1563],"native_values":[412,335,786,451,528,77],"rotation_degrees":25.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":412},{"alpha_index":411,"clock_position":411,"value":335},{"alpha_index":699,"clock_position":699,"value":786},{"alpha_index":987,"clock_position":987,"value":451},{"alpha_index":1275,"clock_position":1275,"value":528},{"alpha_index":1563,"clock_position":1563,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,412,700,988,1276,1564],"clock_positions":[124,412,700,988,1276,1564],"native_values":[323,307,847,540,556,16],"rotation_degrees":25.833333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":323},{"alpha_index":412,"clock_position":412,"value":307},{"alpha_index":700,"clock_position":700,"value":847},{"alpha_index":988,"clock_position":988,"value":540},{"alpha_index":1276,"clock_position":1276,"value":556},{"alpha_index":1564,"clock_position":1564,"value":16}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,413,701,989,1277,1565],"clock_positions":[125,413,701,989,1277,1565],"native_values":[735,642,770,128,221,93],"rotation_degrees":26.041666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":735},{"alpha_index":413,"clock_position":413,"value":642},{"alpha_index":701,"clock_position":701,"value":770},{"alpha_index":989,"clock_position":989,"value":128},{"alpha_index":1277,"clock_position":1277,"value":221},{"alpha_index":1565,"clock_position":1565,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,414,702,990,1278,1566],"clock_positions":[126,414,702,990,1278,1566],"native_values":[195,86,754,668,777,109],"rotation_degrees":26.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":195},{"alpha_index":414,"clock_position":414,"value":86},{"alpha_index":702,"clock_position":702,"value":754},{"alpha_index":990,"clock_position":990,"value":668},{"alpha_index":1278,"clock_position":1278,"value":777},{"alpha_index":1566,"clock_position":1566,"value":109}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,415,703,991,1279,1567],"clock_positions":[127,415,703,991,1279,1567],"native_values":[67,728,661,796,135,202],"rotation_degrees":26.458333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":67},{"alpha_index":415,"clock_position":415,"value":728},{"alpha_index":703,"clock_position":703,"value":661},{"alpha_index":991,"clock_position":991,"value":796},{"alpha_index":1279,"clock_position":1279,"value":135},{"alpha_index":1567,"clock_position":1567,"value":202}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,416,704,992,1280,1568],"clock_positions":[128,416,704,992,1280,1568],"native_values":[262,814,552,601,49,311],"rotation_degrees":26.666666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":262},{"alpha_index":416,"clock_position":416,"value":814},{"alpha_index":704,"clock_position":704,"value":552},{"alpha_index":992,"clock_position":992,"value":601},{"alpha_index":1280,"clock_position":1280,"value":49},{"alpha_index":1568,"clock_position":1568,"value":311}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,417,705,993,1281,1569],"clock_positions":[129,417,705,993,1281,1569],"native_values":[329,679,350,534,184,513],"rotation_degrees":26.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":329},{"alpha_index":417,"clock_position":417,"value":679},{"alpha_index":705,"clock_position":705,"value":350},{"alpha_index":993,"clock_position":993,"value":534},{"alpha_index":1281,"clock_position":1281,"value":184},{"alpha_index":1569,"clock_position":1569,"value":513}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,418,706,994,1282,1570],"clock_positions":[130,418,706,994,1282,1570],"native_values":[591,630,39,272,233,824],"rotation_degrees":27.083333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":591},{"alpha_index":418,"clock_position":418,"value":630},{"alpha_index":706,"clock_position":706,"value":39},{"alpha_index":994,"clock_position":994,"value":272},{"alpha_index":1282,"clock_position":1282,"value":233},{"alpha_index":1570,"clock_position":1570,"value":824}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,419,707,995,1283,1571],"clock_positions":[131,419,707,995,1283,1571],"native_values":[57,446,389,806,417,474],"rotation_degrees":27.291666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":57},{"alpha_index":419,"clock_position":419,"value":446},{"alpha_index":707,"clock_position":707,"value":389},{"alpha_index":995,"clock_position":995,"value":806},{"alpha_index":1283,"clock_position":1283,"value":417},{"alpha_index":1571,"clock_position":1571,"value":474}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,420,708,996,1284,1572],"clock_positions":[132,420,708,996,1284,1572],"native_values":[648,213,428,215,650,435],"rotation_degrees":27.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":648},{"alpha_index":420,"clock_position":420,"value":213},{"alpha_index":708,"clock_position":708,"value":428},{"alpha_index":996,"clock_position":996,"value":215},{"alpha_index":1284,"clock_position":1284,"value":650},{"alpha_index":1572,"clock_position":1572,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,421,709,997,1285,1573],"clock_positions":[133,421,709,997,1285,1573],"native_values":[705,659,817,158,204,46],"rotation_degrees":27.708333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":705},{"alpha_index":421,"clock_position":421,"value":659},{"alpha_index":709,"clock_position":709,"value":817},{"alpha_index":997,"clock_position":997,"value":158},{"alpha_index":1285,"clock_position":1285,"value":204},{"alpha_index":1573,"clock_position":1573,"value":46}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,422,710,998,1286,1574],"clock_positions":[134,422,710,998,1286,1574],"native_values":[490,9,382,373,854,481],"rotation_degrees":27.916666666666668,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":490},{"alpha_index":710,"clock_position":710,"value":382},{"alpha_index":998,"clock_position":998,"value":373},{"alpha_index":1286,"clock_position":1286,"value":854},{"alpha_index":1574,"clock_position":1574,"value":481}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,423,711,999,1287,1575],"clock_positions":[135,423,711,999,1287,1575],"native_values":[332,668,336,531,195,527],"rotation_degrees":28.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":332},{"alpha_index":423,"clock_position":423,"value":668},{"alpha_index":711,"clock_position":711,"value":336},{"alpha_index":999,"clock_position":999,"value":531},{"alpha_index":1287,"clock_position":1287,"value":195},{"alpha_index":1575,"clock_position":1575,"value":527}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,424,712,1000,1288,1576],"clock_positions":[136,424,712,1000,1288,1576],"native_values":[822,677,718,41,186,145],"rotation_degrees":28.333333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":822},{"alpha_index":424,"clock_position":424,"value":677},{"alpha_index":712,"clock_position":712,"value":718},{"alpha_index":1000,"clock_position":1000,"value":41},{"alpha_index":1288,"clock_position":1288,"value":186},{"alpha_index":1576,"clock_position":1576,"value":145}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,425,713,1001,1289,1577],"clock_positions":[137,425,713,1001,1289,1577],"native_values":[291,482,191,572,381,672],"rotation_degrees":28.541666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":291},{"alpha_index":425,"clock_position":425,"value":482},{"alpha_index":713,"clock_position":713,"value":191},{"alpha_index":1001,"clock_position":1001,"value":572},{"alpha_index":1289,"clock_position":1289,"value":381},{"alpha_index":1577,"clock_position":1577,"value":672}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,426,714,1002,1290,1578],"clock_positions":[138,426,714,1002,1290,1578],"native_values":[250,296,46,613,567,817],"rotation_degrees":28.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":250},{"alpha_index":426,"clock_position":426,"value":296},{"alpha_index":714,"clock_position":714,"value":46},{"alpha_index":1002,"clock_position":1002,"value":613},{"alpha_index":1290,"clock_position":1290,"value":567},{"alpha_index":1578,"clock_position":1578,"value":817}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,427,715,1003,1291,1579],"clock_positions":[139,427,715,1003,1291,1579],"native_values":[541,778,237,322,85,626],"rotation_degrees":28.958333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":541},{"alpha_index":427,"clock_position":427,"value":778},{"alpha_index":715,"clock_position":715,"value":237},{"alpha_index":1003,"clock_position":1003,"value":322},{"alpha_index":1291,"clock_position":1291,"value":85},{"alpha_index":1579,"clock_position":1579,"value":626}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,428,716,1004,1292,1580],"clock_positions":[140,428,716,1004,1292,1580],"native_values":[791,211,283,72,652,580],"rotation_degrees":29.166666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":791},{"alpha_index":428,"clock_position":428,"value":211},{"alpha_index":716,"clock_position":716,"value":283},{"alpha_index":1004,"clock_position":1004,"value":72},{"alpha_index":1292,"clock_position":1292,"value":652},{"alpha_index":1580,"clock_position":1580,"value":580}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,429,717,1005,1293,1581],"clock_positions":[141,429,717,1005,1293,1581],"native_values":[469,126,520,394,737,343],"rotation_degrees":29.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":469},{"alpha_index":429,"clock_position":429,"value":126},{"alpha_index":717,"clock_position":717,"value":520},{"alpha_index":1005,"clock_position":1005,"value":394},{"alpha_index":1293,"clock_position":1293,"value":737},{"alpha_index":1581,"clock_position":1581,"value":343}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,430,718,1006,1294,1582],"clock_positions":[142,430,718,1006,1294,1582],"native_values":[397,337,803,466,526,60],"rotation_degrees":29.583333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":397},{"alpha_index":430,"clock_position":430,"value":337},{"alpha_index":718,"clock_position":718,"value":803},{"alpha_index":1006,"clock_position":1006,"value":466},{"alpha_index":1294,"clock_position":1294,"value":526},{"alpha_index":1582,"clock_position":1582,"value":60}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,431,719,1007,1295,1583],"clock_positions":[143,431,719,1007,1295,1583],"native_values":[3,463,460,860,400,403],"rotation_degrees":29.791666666666668,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":431,"clock_position":431,"value":463},{"alpha_index":719,"clock_position":719,"value":460},{"alpha_index":1007,"clock_position":1007,"value":860},{"alpha_index":1295,"clock_position":1295,"value":400},{"alpha_index":1583,"clock_position":1583,"value":403}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,432,720,1008,1296,1584],"clock_positions":[144,432,720,1008,1296,1584],"native_values":[400,800,400,463,63,463],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":400},{"alpha_index":432,"clock_position":432,"value":800},{"alpha_index":720,"clock_position":720,"value":400},{"alpha_index":1008,"clock_position":1008,"value":463},{"alpha_index":1296,"clock_position":1296,"value":63},{"alpha_index":1584,"clock_position":1584,"value":463}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,433,721,1009,1297,1585],"clock_positions":[145,433,721,1009,1297,1585],"native_values":[403,400,860,460,463,3],"rotation_degrees":30.208333333333332,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":403},{"alpha_index":433,"clock_position":433,"value":400},{"alpha_index":721,"clock_position":721,"value":860},{"alpha_index":1009,"clock_position":1009,"value":460},{"alpha_index":1297,"clock_position":1297,"value":463}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,434,722,1010,1298,1586],"clock_positions":[146,434,722,1010,1298,1586],"native_values":[803,337,397,60,526,466],"rotation_degrees":30.416666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":803},{"alpha_index":434,"clock_position":434,"value":337},{"alpha_index":722,"clock_position":722,"value":397},{"alpha_index":1010,"clock_position":1010,"value":60},{"alpha_index":1298,"clock_position":1298,"value":526},{"alpha_index":1586,"clock_position":1586,"value":466}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,435,723,1011,1299,1587],"clock_positions":[147,435,723,1011,1299,1587],"native_values":[343,737,394,520,126,469],"rotation_degrees":30.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":343},{"alpha_index":435,"clock_position":435,"value":737},{"alpha_index":723,"clock_position":723,"value":394},{"alpha_index":1011,"clock_position":1011,"value":520},{"alpha_index":1299,"clock_position":1299,"value":126},{"alpha_index":1587,"clock_position":1587,"value":469}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,436,724,1012,1300,1588],"clock_positions":[148,436,724,1012,1300,1588],"native_values":[283,211,791,580,652,72],"rotation_degrees":30.833333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":283},{"alpha_index":436,"clock_position":436,"value":211},{"alpha_index":724,"clock_position":724,"value":791},{"alpha_index":1012,"clock_position":1012,"value":580},{"alpha_index":1300,"clock_position":1300,"value":652},{"alpha_index":1588,"clock_position":1588,"value":72}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,437,725,1013,1301,1589],"clock_positions":[149,437,725,1013,1301,1589],"native_values":[626,85,322,237,778,541],"rotation_degrees":31.041666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":626},{"alpha_index":437,"clock_position":437,"value":85},{"alpha_index":725,"clock_position":725,"value":322},{"alpha_index":1013,"clock_position":1013,"value":237},{"alpha_index":1301,"clock_position":1301,"value":778},{"alpha_index":1589,"clock_position":1589,"value":541}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,438,726,1014,1302,1590],"clock_positions":[150,438,726,1014,1302,1590],"native_values":[46,296,250,817,567,613],"rotation_degrees":31.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":46},{"alpha_index":438,"clock_position":438,"value":296},{"alpha_index":726,"clock_position":726,"value":250},{"alpha_index":1014,"clock_position":1014,"value":817},{"alpha_index":1302,"clock_position":1302,"value":567},{"alpha_index":1590,"clock_position":1590,"value":613}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,439,727,1015,1303,1591],"clock_positions":[151,439,727,1015,1303,1591],"native_values":[672,381,572,191,482,291],"rotation_degrees":31.458333333333332,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":672},{"alpha_index":439,"clock_position":439,"value":381},{"alpha_index":727,"clock_position":727,"value":572},{"alpha_index":1015,"clock_position":1015,"value":191},{"alpha_index":1303,"clock_position":1303,"value":482},{"alpha_index":1591,"clock_position":1591,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,440,728,1016,1304,1592],"clock_positions":[152,440,728,1016,1304,1592],"native_values":[718,677,822,145,186,41],"rotation_degrees":31.666666666666668,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":718},{"alpha_index":440,"clock_position":440,"value":677},{"alpha_index":728,"clock_position":728,"value":822},{"alpha_index":1016,"clock_position":1016,"value":145},{"alpha_index":1304,"clock_position":1304,"value":186},{"alpha_index":1592,"clock_position":1592,"value":41}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,441,729,1017,1305,1593],"clock_positions":[153,441,729,1017,1305,1593],"native_values":[527,195,531,336,668,332],"rotation_degrees":31.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":527},{"alpha_index":441,"clock_position":441,"value":195},{"alpha_index":729,"clock_position":729,"value":531},{"alpha_index":1017,"clock_position":1017,"value":336},{"alpha_index":1305,"clock_position":1305,"value":668},{"alpha_index":1593,"clock_position":1593,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,442,730,1018,1306,1594],"clock_positions":[154,442,730,1018,1306,1594],"native_values":[382,9,490,481,854,373],"rotation_degrees":32.083333333333336,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":382},{"alpha_index":730,"clock_position":730,"value":490},{"alpha_index":1018,"clock_position":1018,"value":481},{"alpha_index":1306,"clock_position":1306,"value":854},{"alpha_index":1594,"clock_position":1594,"value":373}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,443,731,1019,1307,1595],"clock_positions":[155,443,731,1019,1307,1595],"native_values":[46,204,158,817,659,705],"rotation_degrees":32.291666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":46},{"alpha_index":443,"clock_position":443,"value":204},{"alpha_index":731,"clock_position":731,"value":158},{"alpha_index":1019,"clock_position":1019,"value":817},{"alpha_index":1307,"clock_position":1307,"value":659},{"alpha_index":1595,"clock_position":1595,"value":705}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,444,732,1020,1308,1596],"clock_positions":[156,444,732,1020,1308,1596],"native_values":[428,213,648,435,650,215],"rotation_degrees":32.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":428},{"alpha_index":444,"clock_position":444,"value":213},{"alpha_index":732,"clock_position":732,"value":648},{"alpha_index":1020,"clock_position":1020,"value":435},{"alpha_index":1308,"clock_position":1308,"value":650},{"alpha_index":1596,"clock_position":1596,"value":215}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,445,733,1021,1309,1597],"clock_positions":[157,445,733,1021,1309,1597],"native_values":[474,417,806,389,446,57],"rotation_degrees":32.708333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":474},{"alpha_index":445,"clock_position":445,"value":417},{"alpha_index":733,"clock_position":733,"value":806},{"alpha_index":1021,"clock_position":1021,"value":389},{"alpha_index":1309,"clock_position":1309,"value":446},{"alpha_index":1597,"clock_position":1597,"value":57}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,446,734,1022,1310,1598],"clock_positions":[158,446,734,1022,1310,1598],"native_values":[39,630,591,824,233,272],"rotation_degrees":32.916666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":39},{"alpha_index":446,"clock_position":446,"value":630},{"alpha_index":734,"clock_position":734,"value":591},{"alpha_index":1022,"clock_position":1022,"value":824},{"alpha_index":1310,"clock_position":1310,"value":233},{"alpha_index":1598,"clock_position":1598,"value":272}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,447,735,1023,1311,1599],"clock_positions":[159,447,735,1023,1311,1599],"native_values":[513,184,534,350,679,329],"rotation_degrees":33.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":513},{"alpha_index":447,"clock_position":447,"value":184},{"alpha_index":735,"clock_position":735,"value":534},{"alpha_index":1023,"clock_position":1023,"value":350},{"alpha_index":1311,"clock_position":1311,"value":679},{"alpha_index":1599,"clock_position":1599,"value":329}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,448,736,1024,1312,1600],"clock_positions":[160,448,736,1024,1312,1600],"native_values":[552,814,262,311,49,601],"rotation_degrees":33.333333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":552},{"alpha_index":448,"clock_position":448,"value":814},{"alpha_index":736,"clock_position":736,"value":262},{"alpha_index":1024,"clock_position":1024,"value":311},{"alpha_index":1312,"clock_position":1312,"value":49},{"alpha_index":1600,"clock_position":1600,"value":601}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,449,737,1025,1313,1601],"clock_positions":[161,449,737,1025,1313,1601],"native_values":[202,135,796,661,728,67],"rotation_degrees":33.541666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":202},{"alpha_index":449,"clock_position":449,"value":135},{"alpha_index":737,"clock_position":737,"value":796},{"alpha_index":1025,"clock_position":1025,"value":661},{"alpha_index":1313,"clock_position":1313,"value":728},{"alpha_index":1601,"clock_position":1601,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,450,738,1026,1314,1602],"clock_positions":[162,450,738,1026,1314,1602],"native_values":[754,86,195,109,777,668],"rotation_degrees":33.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":754},{"alpha_index":450,"clock_position":450,"value":86},{"alpha_index":738,"clock_position":738,"value":195},{"alpha_index":1026,"clock_position":1026,"value":109},{"alpha_index":1314,"clock_position":1314,"value":777},{"alpha_index":1602,"clock_position":1602,"value":668}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,451,739,1027,1315,1603],"clock_positions":[163,451,739,1027,1315,1603],"native_values":[93,221,128,770,642,735],"rotation_degrees":33.958333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":93},{"alpha_index":451,"clock_position":451,"value":221},{"alpha_index":739,"clock_position":739,"value":128},{"alpha_index":1027,"clock_position":1027,"value":770},{"alpha_index":1315,"clock_position":1315,"value":642},{"alpha_index":1603,"clock_position":1603,"value":735}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,452,740,1028,1316,1604],"clock_positions":[164,452,740,1028,1316,1604],"native_values":[847,307,323,16,556,540],"rotation_degrees":34.166666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":847},{"alpha_index":452,"clock_position":452,"value":307},{"alpha_index":740,"clock_position":740,"value":323},{"alpha_index":1028,"clock_position":1028,"value":16},{"alpha_index":1316,"clock_position":1316,"value":556},{"alpha_index":1604,"clock_position":1604,"value":540}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,453,741,1029,1317,1605],"clock_positions":[165,453,741,1029,1317,1605],"native_values":[77,528,451,786,335,412],"rotation_degrees":34.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":77},{"alpha_index":453,"clock_position":453,"value":528},{"alpha_index":741,"clock_position":741,"value":451},{"alpha_index":1029,"clock_position":1029,"value":786},{"alpha_index":1317,"clock_position":1317,"value":335},{"alpha_index":1605,"clock_position":1605,"value":412}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,454,742,1030,1318,1606],"clock_positions":[166,454,742,1030,1318,1606],"native_values":[61,835,774,802,28,89],"rotation_degrees":34.583333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":61},{"alpha_index":454,"clock_position":454,"value":835},{"alpha_index":742,"clock_position":742,"value":774},{"alpha_index":1030,"clock_position":1030,"value":802},{"alpha_index":1318,"clock_position":1318,"value":28},{"alpha_index":1606,"clock_position":1606,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,455,743,1031,1319,1607],"clock_positions":[167,455,743,1031,1319,1607],"native_values":[138,500,362,725,363,501],"rotation_degrees":34.791666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":138},{"alpha_index":455,"clock_position":455,"value":500},{"alpha_index":743,"clock_position":743,"value":362},{"alpha_index":1031,"clock_position":1031,"value":725},{"alpha_index":1319,"clock_position":1319,"value":363},{"alpha_index":1607,"clock_position":1607,"value":501}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,456,744,1032,1320,1608],"clock_positions":[168,456,744,1032,1320,1608],"native_values":[199,472,273,664,391,590],"rotation_degrees":35.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":199},{"alpha_index":456,"clock_position":456,"value":472},{"alpha_index":744,"clock_position":744,"value":273},{"alpha_index":1032,"clock_position":1032,"value":664},{"alpha_index":1320,"clock_position":1320,"value":391},{"alpha_index":1608,"clock_position":1608,"value":590}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,457,745,1033,1321,1609],"clock_positions":[169,457,745,1033,1321,1609],"native_values":[337,109,635,526,754,228],"rotation_degrees":35.208333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":337},{"alpha_index":457,"clock_position":457,"value":109},{"alpha_index":745,"clock_position":745,"value":635},{"alpha_index":1033,"clock_position":1033,"value":526},{"alpha_index":1321,"clock_position":1321,"value":754},{"alpha_index":1609,"clock_position":1609,"value":228}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,458,746,1034,1322,1610],"clock_positions":[170,458,746,1034,1322,1610],"native_values":[536,581,45,327,282,818],"rotation_degrees":35.416666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":536},{"alpha_index":458,"clock_position":458,"value":581},{"alpha_index":746,"clock_position":746,"value":45},{"alpha_index":1034,"clock_position":1034,"value":327},{"alpha_index":1322,"clock_position":1322,"value":282},{"alpha_index":1610,"clock_position":1610,"value":818}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,459,747,1035,1323,1611],"clock_positions":[171,459,747,1035,1323,1611],"native_values":[10,690,680,853,173,183],"rotation_degrees":35.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":10},{"alpha_index":459,"clock_position":459,"value":690},{"alpha_index":747,"clock_position":747,"value":680},{"alpha_index":1035,"clock_position":1035,"value":853},{"alpha_index":1323,"clock_position":1323,"value":173},{"alpha_index":1611,"clock_position":1611,"value":183}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,460,748,1036,1324,1612],"clock_positions":[172,460,748,1036,1324,1612],"native_values":[546,408,725,317,455,138],"rotation_degrees":35.833333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":546},{"alpha_index":460,"clock_position":460,"value":408},{"alpha_index":748,"clock_position":748,"value":725},{"alpha_index":1036,"clock_position":1036,"value":317},{"alpha_index":1324,"clock_position":1324,"value":455},{"alpha_index":1612,"clock_position":1612,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,461,749,1037,1325,1613],"clock_positions":[173,461,749,1037,1325,1613],"native_values":[556,235,542,307,628,321],"rotation_degrees":36.041666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":556},{"alpha_index":461,"clock_position":461,"value":235},{"alpha_index":749,"clock_position":749,"value":542},{"alpha_index":1037,"clock_position":1037,"value":307},{"alpha_index":1325,"clock_position":1325,"value":628},{"alpha_index":1613,"clock_position":1613,"value":321}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,462,750,1038,1326,1614],"clock_positions":[174,462,750,1038,1326,1614],"native_values":[239,643,404,624,220,459],"rotation_degrees":36.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":239},{"alpha_index":462,"clock_position":462,"value":643},{"alpha_index":750,"clock_position":750,"value":404},{"alpha_index":1038,"clock_position":1038,"value":624},{"alpha_index":1326,"clock_position":1326,"value":220},{"alpha_index":1614,"clock_position":1614,"value":459}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,463,751,1039,1327,1615],"clock_positions":[175,463,751,1039,1327,1615],"native_values":[795,15,83,68,848,780],"rotation_degrees":36.458333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":795},{"alpha_index":463,"clock_position":463,"value":15},{"alpha_index":751,"clock_position":751,"value":83},{"alpha_index":1039,"clock_position":1039,"value":68},{"alpha_index":1327,"clock_position":1327,"value":848},{"alpha_index":1615,"clock_position":1615,"value":780}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,464,752,1040,1328,1616],"clock_positions":[176,464,752,1040,1328,1616],"native_values":[171,658,487,692,205,376],"rotation_degrees":36.666666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":171},{"alpha_index":464,"clock_position":464,"value":658},{"alpha_index":752,"clock_position":752,"value":487},{"alpha_index":1040,"clock_position":1040,"value":692},{"alpha_index":1328,"clock_position":1328,"value":205},{"alpha_index":1616,"clock_position":1616,"value":376}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,465,753,1041,1329,1617],"clock_positions":[177,465,753,1041,1329,1617],"native_values":[103,673,570,760,190,293],"rotation_degrees":36.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":103},{"alpha_index":465,"clock_position":465,"value":673},{"alpha_index":753,"clock_position":753,"value":570},{"alpha_index":1041,"clock_position":1041,"value":760},{"alpha_index":1329,"clock_position":1329,"value":190},{"alpha_index":1617,"clock_position":1617,"value":293}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,466,754,1042,1330,1618],"clock_positions":[178,466,754,1042,1330,1618],"native_values":[274,468,194,589,395,669],"rotation_degrees":37.083333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":274},{"alpha_index":466,"clock_position":466,"value":468},{"alpha_index":754,"clock_position":754,"value":194},{"alpha_index":1042,"clock_position":1042,"value":589},{"alpha_index":1330,"clock_position":1330,"value":395},{"alpha_index":1618,"clock_position":1618,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,467,755,1043,1331,1619],"clock_positions":[179,467,755,1043,1331,1619],"native_values":[377,278,764,486,585,99],"rotation_degrees":37.291666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":377},{"alpha_index":467,"clock_position":467,"value":278},{"alpha_index":755,"clock_position":755,"value":764},{"alpha_index":1043,"clock_position":1043,"value":486},{"alpha_index":1331,"clock_position":1331,"value":585},{"alpha_index":1619,"clock_position":1619,"value":99}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,468,756,1044,1332,1620],"clock_positions":[180,468,756,1044,1332,1620],"native_values":[651,746,95,212,117,768],"rotation_degrees":37.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":651},{"alpha_index":468,"clock_position":468,"value":746},{"alpha_index":756,"clock_position":756,"value":95},{"alpha_index":1044,"clock_position":1044,"value":212},{"alpha_index":1332,"clock_position":1332,"value":117},{"alpha_index":1620,"clock_position":1620,"value":768}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,469,757,1045,1333,1621],"clock_positions":[181,469,757,1045,1333,1621],"native_values":[165,161,859,698,702,4],"rotation_degrees":37.708333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":165},{"alpha_index":469,"clock_position":469,"value":161},{"alpha_index":757,"clock_position":757,"value":859},{"alpha_index":1045,"clock_position":1045,"value":698},{"alpha_index":1333,"clock_position":1333,"value":702},{"alpha_index":1621,"clock_position":1621,"value":4}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,470,758,1046,1334,1622],"clock_positions":[182,470,758,1046,1334,1622],"native_values":[816,44,91,47,819,772],"rotation_degrees":37.916666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":816},{"alpha_index":470,"clock_position":470,"value":44},{"alpha_index":758,"clock_position":758,"value":91},{"alpha_index":1046,"clock_position":1046,"value":47},{"alpha_index":1334,"clock_position":1334,"value":819},{"alpha_index":1622,"clock_position":1622,"value":772}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,471,759,1047,1335,1623],"clock_positions":[183,471,759,1047,1335,1623],"native_values":[118,205,87,745,658,776],"rotation_degrees":38.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":118},{"alpha_index":471,"clock_position":471,"value":205},{"alpha_index":759,"clock_position":759,"value":87},{"alpha_index":1047,"clock_position":1047,"value":745},{"alpha_index":1335,"clock_position":1335,"value":658},{"alpha_index":1623,"clock_position":1623,"value":776}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,472,760,1048,1336,1624],"clock_positions":[184,472,760,1048,1336,1624],"native_values":[71,249,178,792,614,685],"rotation_degrees":38.333333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":71},{"alpha_index":472,"clock_position":472,"value":249},{"alpha_index":760,"clock_position":760,"value":178},{"alpha_index":1048,"clock_position":1048,"value":792},{"alpha_index":1336,"clock_position":1336,"value":614},{"alpha_index":1624,"clock_position":1624,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,473,761,1049,1337,1625],"clock_positions":[185,473,761,1049,1337,1625],"native_values":[189,454,265,674,409,598],"rotation_degrees":38.541666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":189},{"alpha_index":473,"clock_position":473,"value":454},{"alpha_index":761,"clock_position":761,"value":265},{"alpha_index":1049,"clock_position":1049,"value":674},{"alpha_index":1337,"clock_position":1337,"value":409},{"alpha_index":1625,"clock_position":1625,"value":598}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,474,762,1050,1338,1626],"clock_positions":[186,474,762,1050,1338,1626],"native_values":[260,703,443,603,160,420],"rotation_degrees":38.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":260},{"alpha_index":474,"clock_position":474,"value":703},{"alpha_index":762,"clock_position":762,"value":443},{"alpha_index":1050,"clock_position":1050,"value":603},{"alpha_index":1338,"clock_position":1338,"value":160},{"alpha_index":1626,"clock_position":1626,"value":420}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,475,763,1051,1339,1627],"clock_positions":[187,475,763,1051,1339,1627],"native_values":[449,294,708,414,569,155],"rotation_degrees":38.958333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":449},{"alpha_index":475,"clock_position":475,"value":294},{"alpha_index":763,"clock_position":763,"value":708},{"alpha_index":1051,"clock_position":1051,"value":414},{"alpha_index":1339,"clock_position":1339,"value":569},{"alpha_index":1627,"clock_position":1627,"value":155}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,476,764,1052,1340,1628],"clock_positions":[188,476,764,1052,1340,1628],"native_values":[709,134,288,154,729,575],"rotation_degrees":39.166666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":709},{"alpha_index":476,"clock_position":476,"value":134},{"alpha_index":764,"clock_position":764,"value":288},{"alpha_index":1052,"clock_position":1052,"value":154},{"alpha_index":1340,"clock_position":1340,"value":729},{"alpha_index":1628,"clock_position":1628,"value":575}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,477,765,1053,1341,1629],"clock_positions":[189,477,765,1053,1341,1629],"native_values":[295,428,133,568,435,730],"rotation_degrees":39.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":295},{"alpha_index":477,"clock_position":477,"value":428},{"alpha_index":765,"clock_position":765,"value":133},{"alpha_index":1053,"clock_position":1053,"value":568},{"alpha_index":1341,"clock_position":1341,"value":435},{"alpha_index":1629,"clock_position":1629,"value":730}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,478,766,1054,1342,1630],"clock_positions":[190,478,766,1054,1342,1630],"native_values":[141,562,421,722,301,442],"rotation_degrees":39.583333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":141},{"alpha_index":478,"clock_position":478,"value":562},{"alpha_index":766,"clock_position":766,"value":421},{"alpha_index":1054,"clock_position":1054,"value":722},{"alpha_index":1342,"clock_position":1342,"value":301},{"alpha_index":1630,"clock_position":1630,"value":442}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,479,767,1055,1343,1631],"clock_positions":[191,479,767,1055,1343,1631],"native_values":[436,127,554,427,736,309],"rotation_degrees":39.791666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":436},{"alpha_index":479,"clock_position":479,"value":127},{"alpha_index":767,"clock_position":767,"value":554},{"alpha_index":1055,"clock_position":1055,"value":427},{"alpha_index":1343,"clock_position":1343,"value":736},{"alpha_index":1631,"clock_position":1631,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,480,768,1056,1344,1632],"clock_positions":[192,480,768,1056,1344,1632],"native_values":[577,689,112,286,174,751],"rotation_degrees":40.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":577},{"alpha_index":480,"clock_position":480,"value":689},{"alpha_index":768,"clock_position":768,"value":112},{"alpha_index":1056,"clock_position":1056,"value":286},{"alpha_index":1344,"clock_position":1344,"value":174},{"alpha_index":1632,"clock_position":1632,"value":751}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,481,769,1057,1345,1633],"clock_positions":[193,481,769,1057,1345,1633],"native_values":[150,816,666,713,47,197],"rotation_degrees":40.208333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":150},{"alpha_index":481,"clock_position":481,"value":816},{"alpha_index":769,"clock_position":769,"value":666},{"alpha_index":1057,"clock_position":1057,"value":713},{"alpha_index":1345,"clock_position":1345,"value":47},{"alpha_index":1633,"clock_position":1633,"value":197}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,482,770,1058,1346,1634],"clock_positions":[194,482,770,1058,1346,1634],"native_values":[727,642,778,136,221,85],"rotation_degrees":40.416666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":727},{"alpha_index":482,"clock_position":482,"value":642},{"alpha_index":770,"clock_position":770,"value":778},{"alpha_index":1058,"clock_position":1058,"value":136},{"alpha_index":1346,"clock_position":1346,"value":221},{"alpha_index":1634,"clock_position":1634,"value":85}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,483,771,1059,1347,1635],"clock_positions":[195,483,771,1059,1347,1635],"native_values":[14,595,581,849,268,282],"rotation_degrees":40.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":14},{"alpha_index":483,"clock_position":483,"value":595},{"alpha_index":771,"clock_position":771,"value":581},{"alpha_index":1059,"clock_position":1059,"value":849},{"alpha_index":1347,"clock_position":1347,"value":268},{"alpha_index":1635,"clock_position":1635,"value":282}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,484,772,1060,1348,1636],"clock_positions":[196,484,772,1060,1348,1636],"native_values":[741,374,496,122,489,367],"rotation_degrees":40.833333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":741},{"alpha_index":484,"clock_position":484,"value":374},{"alpha_index":772,"clock_position":772,"value":496},{"alpha_index":1060,"clock_position":1060,"value":122},{"alpha_index":1348,"clock_position":1348,"value":489},{"alpha_index":1636,"clock_position":1636,"value":367}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,485,773,1061,1349,1637],"clock_positions":[197,485,773,1061,1349,1637],"native_values":[755,106,214,108,757,649],"rotation_degrees":41.041666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":755},{"alpha_index":485,"clock_position":485,"value":106},{"alpha_index":773,"clock_position":773,"value":214},{"alpha_index":1061,"clock_position":1061,"value":108},{"alpha_index":1349,"clock_position":1349,"value":757},{"alpha_index":1637,"clock_position":1637,"value":649}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,486,774,1062,1350,1638],"clock_positions":[198,486,774,1062,1350,1638],"native_values":[633,480,710,230,383,153],"rotation_degrees":41.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":633},{"alpha_index":486,"clock_position":486,"value":480},{"alpha_index":774,"clock_position":774,"value":710},{"alpha_index":1062,"clock_position":1062,"value":230},{"alpha_index":1350,"clock_position":1350,"value":383},{"alpha_index":1638,"clock_position":1638,"value":153}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,487,775,1063,1351,1639],"clock_positions":[199,487,775,1063,1351,1639],"native_values":[525,586,61,338,277,802],"rotation_degrees":41.458333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":525},{"alpha_index":487,"clock_position":487,"value":586},{"alpha_index":775,"clock_position":775,"value":61},{"alpha_index":1063,"clock_position":1063,"value":338},{"alpha_index":1351,"clock_position":1351,"value":277},{"alpha_index":1639,"clock_position":1639,"value":802}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,488,776,1064,1352,1640],"clock_positions":[200,488,776,1064,1352,1640],"native_values":[295,203,771,568,660,92],"rotation_degrees":41.666666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":295},{"alpha_index":488,"clock_position":488,"value":203},{"alpha_index":776,"clock_position":776,"value":771},{"alpha_index":1064,"clock_position":1064,"value":568},{"alpha_index":1352,"clock_position":1352,"value":660},{"alpha_index":1640,"clock_position":1640,"value":92}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,489,777,1065,1353,1641],"clock_positions":[201,489,777,1065,1353,1641],"native_values":[820,789,832,43,74,31],"rotation_degrees":41.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":820},{"alpha_index":489,"clock_position":489,"value":789},{"alpha_index":777,"clock_position":777,"value":832},{"alpha_index":1065,"clock_position":1065,"value":43},{"alpha_index":1353,"clock_position":1353,"value":74},{"alpha_index":1641,"clock_position":1641,"value":31}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,490,778,1066,1354,1642],"clock_positions":[202,490,778,1066,1354,1642],"native_values":[252,129,740,611,734,123],"rotation_degrees":42.083333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":252},{"alpha_index":490,"clock_position":490,"value":129},{"alpha_index":778,"clock_position":778,"value":740},{"alpha_index":1066,"clock_position":1066,"value":611},{"alpha_index":1354,"clock_position":1354,"value":734},{"alpha_index":1642,"clock_position":1642,"value":123}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,491,779,1067,1355,1643],"clock_positions":[203,491,779,1067,1355,1643],"native_values":[209,55,709,654,808,154],"rotation_degrees":42.291666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":209},{"alpha_index":491,"clock_position":491,"value":55},{"alpha_index":779,"clock_position":779,"value":709},{"alpha_index":1067,"clock_position":1067,"value":654},{"alpha_index":1355,"clock_position":1355,"value":808},{"alpha_index":1643,"clock_position":1643,"value":154}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,492,780,1068,1356,1644],"clock_positions":[204,492,780,1068,1356,1644],"native_values":[461,184,586,402,679,277],"rotation_degrees":42.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":461},{"alpha_index":492,"clock_position":492,"value":184},{"alpha_index":780,"clock_position":780,"value":586},{"alpha_index":1068,"clock_position":1068,"value":402},{"alpha_index":1356,"clock_position":1356,"value":679},{"alpha_index":1644,"clock_position":1644,"value":277}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,493,781,1069,1357,1645],"clock_positions":[205,493,781,1069,1357,1645],"native_values":[670,239,432,193,624,431],"rotation_degrees":42.708333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":670},{"alpha_index":493,"clock_position":493,"value":239},{"alpha_index":781,"clock_position":781,"value":432},{"alpha_index":1069,"clock_position":1069,"value":193},{"alpha_index":1357,"clock_position":1357,"value":624},{"alpha_index":1645,"clock_position":1645,"value":431}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,494,782,1070,1358,1646],"clock_positions":[206,494,782,1070,1358,1646],"native_values":[268,423,155,595,440,708],"rotation_degrees":42.916666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":268},{"alpha_index":494,"clock_position":494,"value":423},{"alpha_index":782,"clock_position":782,"value":155},{"alpha_index":1070,"clock_position":1070,"value":595},{"alpha_index":1358,"clock_position":1358,"value":440},{"alpha_index":1646,"clock_position":1646,"value":708}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,495,783,1071,1359,1647],"clock_positions":[207,495,783,1071,1359,1647],"native_values":[75,662,587,788,201,276],"rotation_degrees":43.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":75},{"alpha_index":495,"clock_position":495,"value":662},{"alpha_index":783,"clock_position":783,"value":587},{"alpha_index":1071,"clock_position":1071,"value":788},{"alpha_index":1359,"clock_position":1359,"value":201},{"alpha_index":1647,"clock_position":1647,"value":276}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,496,784,1072,1360,1648],"clock_positions":[208,496,784,1072,1360,1648],"native_values":[343,222,742,520,641,121],"rotation_degrees":43.333333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":343},{"alpha_index":496,"clock_position":496,"value":222},{"alpha_index":784,"clock_position":784,"value":742},{"alpha_index":1072,"clock_position":1072,"value":520},{"alpha_index":1360,"clock_position":1360,"value":641},{"alpha_index":1648,"clock_position":1648,"value":121}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,497,785,1073,1361,1649],"clock_positions":[209,497,785,1073,1361,1649],"native_values":[418,21,466,445,842,397],"rotation_degrees":43.541666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":418},{"alpha_index":497,"clock_position":497,"value":21},{"alpha_index":785,"clock_position":785,"value":466},{"alpha_index":1073,"clock_position":1073,"value":445},{"alpha_index":1361,"clock_position":1361,"value":842},{"alpha_index":1649,"clock_position":1649,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,498,786,1074,1362,1650],"clock_positions":[210,498,786,1074,1362,1650],"native_values":[761,243,345,102,620,518],"rotation_degrees":43.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":761},{"alpha_index":498,"clock_position":498,"value":243},{"alpha_index":786,"clock_position":786,"value":345},{"alpha_index":1074,"clock_position":1074,"value":102},{"alpha_index":1362,"clock_position":1362,"value":620},{"alpha_index":1650,"clock_position":1650,"value":518}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,499,787,1075,1363,1651],"clock_positions":[211,499,787,1075,1363,1651],"native_values":[316,264,811,547,599,52],"rotation_degrees":43.958333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":316},{"alpha_index":499,"clock_position":499,"value":264},{"alpha_index":787,"clock_position":787,"value":811},{"alpha_index":1075,"clock_position":1075,"value":547},{"alpha_index":1363,"clock_position":1363,"value":599},{"alpha_index":1651,"clock_position":1651,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,500,788,1076,1364,1652],"clock_positions":[212,500,788,1076,1364,1652],"native_values":[214,507,293,649,356,570],"rotation_degrees":44.166666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":214},{"alpha_index":500,"clock_position":500,"value":507},{"alpha_index":788,"clock_position":788,"value":293},{"alpha_index":1076,"clock_position":1076,"value":649},{"alpha_index":1364,"clock_position":1364,"value":356},{"alpha_index":1652,"clock_position":1652,"value":570}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,501,789,1077,1365,1653],"clock_positions":[213,501,789,1077,1365,1653],"native_values":[530,771,241,333,92,622],"rotation_degrees":44.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":530},{"alpha_index":501,"clock_position":501,"value":771},{"alpha_index":789,"clock_position":789,"value":241},{"alpha_index":1077,"clock_position":1077,"value":333},{"alpha_index":1365,"clock_position":1365,"value":92},{"alpha_index":1653,"clock_position":1653,"value":622}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,502,790,1078,1366,1654],"clock_positions":[214,502,790,1078,1366,1654],"native_values":[744,415,534,119,448,329],"rotation_degrees":44.583333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":744},{"alpha_index":502,"clock_position":502,"value":415},{"alpha_index":790,"clock_position":790,"value":534},{"alpha_index":1078,"clock_position":1078,"value":119},{"alpha_index":1366,"clock_position":1366,"value":448},{"alpha_index":1654,"clock_position":1654,"value":329}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,503,791,1079,1367,1655],"clock_positions":[215,503,791,1079,1367,1655],"native_values":[411,323,775,452,540,88],"rotation_degrees":44.791666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":411},{"alpha_index":503,"clock_position":503,"value":323},{"alpha_index":791,"clock_position":791,"value":775},{"alpha_index":1079,"clock_position":1079,"value":452},{"alpha_index":1367,"clock_position":1367,"value":540},{"alpha_index":1655,"clock_position":1655,"value":88}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,504,792,1080,1368,1656],"clock_positions":[216,504,792,1080,1368,1656],"native_values":[292,738,446,571,125,417],"rotation_degrees":45.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":292},{"alpha_index":504,"clock_position":504,"value":738},{"alpha_index":792,"clock_position":792,"value":446},{"alpha_index":1080,"clock_position":1080,"value":571},{"alpha_index":1368,"clock_position":1368,"value":125},{"alpha_index":1656,"clock_position":1656,"value":417}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,505,793,1081,1369,1657],"clock_positions":[217,505,793,1081,1369,1657],"native_values":[703,198,358,160,665,505],"rotation_degrees":45.208333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":703},{"alpha_index":505,"clock_position":505,"value":198},{"alpha_index":793,"clock_position":793,"value":358},{"alpha_index":1081,"clock_position":1081,"value":160},{"alpha_index":1369,"clock_position":1369,"value":665},{"alpha_index":1657,"clock_position":1657,"value":505}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,506,794,1082,1370,1658],"clock_positions":[218,506,794,1082,1370,1658],"native_values":[132,73,804,731,790,59],"rotation_degrees":45.416666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":132},{"alpha_index":506,"clock_position":506,"value":73},{"alpha_index":794,"clock_position":794,"value":804},{"alpha_index":1082,"clock_position":1082,"value":731},{"alpha_index":1370,"clock_position":1370,"value":790},{"alpha_index":1658,"clock_position":1658,"value":59}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,507,795,1083,1371,1659],"clock_positions":[219,507,795,1083,1371,1659],"native_values":[835,271,299,28,592,564],"rotation_degrees":45.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":835},{"alpha_index":507,"clock_position":507,"value":271},{"alpha_index":795,"clock_position":795,"value":299},{"alpha_index":1083,"clock_position":1083,"value":28},{"alpha_index":1371,"clock_position":1371,"value":592},{"alpha_index":1659,"clock_position":1659,"value":564}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-220","alpha_indices":[220,508,796,1084,1372,1660],"clock_positions":[220,508,796,1084,1372,1660],"native_values":[104,344,240,759,519,623],"rotation_degrees":45.833333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":220,"clock_position":220,"value":104},{"alpha_index":508,"clock_position":508,"value":344},{"alpha_index":796,"clock_position":796,"value":240},{"alpha_index":1084,"clock_position":1084,"value":759},{"alpha_index":1372,"clock_position":1372,"value":519},{"alpha_index":1660,"clock_position":1660,"value":623}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-221","alpha_indices":[221,509,797,1085,1373,1661],"clock_positions":[221,509,797,1085,1373,1661],"native_values":[76,615,539,787,248,324],"rotation_degrees":46.041666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":221,"clock_position":221,"value":76},{"alpha_index":509,"clock_position":509,"value":615},{"alpha_index":797,"clock_position":797,"value":539},{"alpha_index":1085,"clock_position":1085,"value":787},{"alpha_index":1373,"clock_position":1373,"value":248},{"alpha_index":1661,"clock_position":1661,"value":324}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-222","alpha_indices":[222,510,798,1086,1374,1662],"clock_positions":[222,510,798,1086,1374,1662],"native_values":[180,96,779,683,767,84],"rotation_degrees":46.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":180},{"alpha_index":510,"clock_position":510,"value":96},{"alpha_index":798,"clock_position":798,"value":779},{"alpha_index":1086,"clock_position":1086,"value":683},{"alpha_index":1374,"clock_position":1374,"value":767},{"alpha_index":1662,"clock_position":1662,"value":84}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-223","alpha_indices":[223,511,799,1087,1375,1663],"clock_positions":[223,511,799,1087,1375,1663],"native_values":[256,711,455,607,152,408],"rotation_degrees":46.458333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":223,"clock_position":223,"value":256},{"alpha_index":511,"clock_position":511,"value":711},{"alpha_index":799,"clock_position":799,"value":455},{"alpha_index":1087,"clock_position":1087,"value":607},{"alpha_index":1375,"clock_position":1375,"value":152},{"alpha_index":1663,"clock_position":1663,"value":408}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-224","alpha_indices":[224,512,800,1088,1376,1664],"clock_positions":[224,512,800,1088,1376,1664],"native_values":[436,807,371,427,56,492],"rotation_degrees":46.666666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":436},{"alpha_index":512,"clock_position":512,"value":807},{"alpha_index":800,"clock_position":800,"value":371},{"alpha_index":1088,"clock_position":1088,"value":427},{"alpha_index":1376,"clock_position":1376,"value":56},{"alpha_index":1664,"clock_position":1664,"value":492}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-225","alpha_indices":[225,513,801,1089,1377,1665],"clock_positions":[225,513,801,1089,1377,1665],"native_values":[692,655,826,171,208,37],"rotation_degrees":46.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":225,"clock_position":225,"value":692},{"alpha_index":513,"clock_position":513,"value":655},{"alpha_index":801,"clock_position":801,"value":826},{"alpha_index":1089,"clock_position":1089,"value":171},{"alpha_index":1377,"clock_position":1377,"value":208},{"alpha_index":1665,"clock_position":1665,"value":37}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-226","alpha_indices":[226,514,802,1090,1378,1666],"clock_positions":[226,514,802,1090,1378,1666],"native_values":[265,599,334,598,264,529],"rotation_degrees":47.083333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":226,"clock_position":226,"value":265},{"alpha_index":514,"clock_position":514,"value":599},{"alpha_index":802,"clock_position":802,"value":334},{"alpha_index":1090,"clock_position":1090,"value":598},{"alpha_index":1378,"clock_position":1378,"value":264},{"alpha_index":1666,"clock_position":1666,"value":529}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-227","alpha_indices":[227,515,803,1091,1379,1667],"clock_positions":[227,515,803,1091,1379,1667],"native_values":[94,391,297,769,472,566],"rotation_degrees":47.291666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":227,"clock_position":227,"value":94},{"alpha_index":515,"clock_position":515,"value":391},{"alpha_index":803,"clock_position":803,"value":297},{"alpha_index":1091,"clock_position":1091,"value":769},{"alpha_index":1379,"clock_position":1379,"value":472},{"alpha_index":1667,"clock_position":1667,"value":566}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-228","alpha_indices":[228,516,804,1092,1380,1668],"clock_positions":[228,516,804,1092,1380,1668],"native_values":[359,127,631,504,736,232],"rotation_degrees":47.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":228,"clock_position":228,"value":359},{"alpha_index":516,"clock_position":516,"value":127},{"alpha_index":804,"clock_position":804,"value":631},{"alpha_index":1092,"clock_position":1092,"value":504},{"alpha_index":1380,"clock_position":1380,"value":736},{"alpha_index":1668,"clock_position":1668,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-229","alpha_indices":[229,517,805,1093,1381,1669],"clock_positions":[229,517,805,1093,1381,1669],"native_values":[453,518,65,410,345,798],"rotation_degrees":47.708333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":229,"clock_position":229,"value":453},{"alpha_index":517,"clock_position":517,"value":518},{"alpha_index":805,"clock_position":805,"value":65},{"alpha_index":1093,"clock_position":1093,"value":410},{"alpha_index":1381,"clock_position":1381,"value":345},{"alpha_index":1669,"clock_position":1669,"value":798}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-230","alpha_indices":[230,518,806,1094,1382,1670],"clock_positions":[230,518,806,1094,1382,1670],"native_values":[812,645,696,51,218,167],"rotation_degrees":47.916666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":230,"clock_position":230,"value":812},{"alpha_index":518,"clock_position":518,"value":645},{"alpha_index":806,"clock_position":806,"value":696},{"alpha_index":1094,"clock_position":1094,"value":51},{"alpha_index":1382,"clock_position":1382,"value":218},{"alpha_index":1670,"clock_position":1670,"value":167}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-231","alpha_indices":[231,519,807,1095,1383,1671],"clock_positions":[231,519,807,1095,1383,1671],"native_values":[402,300,761,461,563,102],"rotation_degrees":48.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":231,"clock_position":231,"value":402},{"alpha_index":519,"clock_position":519,"value":300},{"alpha_index":807,"clock_position":807,"value":761},{"alpha_index":1095,"clock_position":1095,"value":461},{"alpha_index":1383,"clock_position":1383,"value":563},{"alpha_index":1671,"clock_position":1671,"value":102}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-232","alpha_indices":[232,520,808,1096,1384,1672],"clock_positions":[232,520,808,1096,1384,1672],"native_values":[351,82,594,512,781,269],"rotation_degrees":48.333333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":232,"clock_position":232,"value":351},{"alpha_index":520,"clock_position":520,"value":82},{"alpha_index":808,"clock_position":808,"value":594},{"alpha_index":1096,"clock_position":1096,"value":512},{"alpha_index":1384,"clock_position":1384,"value":781},{"alpha_index":1672,"clock_position":1672,"value":269}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-233","alpha_indices":[233,521,809,1097,1385,1673],"clock_positions":[233,521,809,1097,1385,1673],"native_values":[753,382,492,110,481,371],"rotation_degrees":48.541666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":233,"clock_position":233,"value":753},{"alpha_index":521,"clock_position":521,"value":382},{"alpha_index":809,"clock_position":809,"value":492},{"alpha_index":1097,"clock_position":1097,"value":110},{"alpha_index":1385,"clock_position":1385,"value":481},{"alpha_index":1673,"clock_position":1673,"value":371}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-234","alpha_indices":[234,522,810,1098,1386,1674],"clock_positions":[234,522,810,1098,1386,1674],"native_values":[241,464,223,622,399,640],"rotation_degrees":48.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":234,"clock_position":234,"value":241},{"alpha_index":522,"clock_position":522,"value":464},{"alpha_index":810,"clock_position":810,"value":223},{"alpha_index":1098,"clock_position":1098,"value":622},{"alpha_index":1386,"clock_position":1386,"value":399},{"alpha_index":1674,"clock_position":1674,"value":640}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-235","alpha_indices":[235,523,811,1099,1387,1675],"clock_positions":[235,523,811,1099,1387,1675],"native_values":[131,846,715,732,17,148],"rotation_degrees":48.958333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":235,"clock_position":235,"value":131},{"alpha_index":523,"clock_position":523,"value":846},{"alpha_index":811,"clock_position":811,"value":715},{"alpha_index":1099,"clock_position":1099,"value":732},{"alpha_index":1387,"clock_position":1387,"value":17},{"alpha_index":1675,"clock_position":1675,"value":148}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-236","alpha_indices":[236,524,812,1100,1388,1676],"clock_positions":[236,524,812,1100,1388,1676],"native_values":[372,447,75,491,416,788],"rotation_degrees":49.166666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":236,"clock_position":236,"value":372},{"alpha_index":524,"clock_position":524,"value":447},{"alpha_index":812,"clock_position":812,"value":75},{"alpha_index":1100,"clock_position":1100,"value":491},{"alpha_index":1388,"clock_position":1388,"value":416},{"alpha_index":1676,"clock_position":1676,"value":788}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-237","alpha_indices":[237,525,813,1101,1389,1677],"clock_positions":[237,525,813,1101,1389,1677],"native_values":[503,430,790,360,433,73],"rotation_degrees":49.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":237,"clock_position":237,"value":503},{"alpha_index":525,"clock_position":525,"value":430},{"alpha_index":813,"clock_position":813,"value":790},{"alpha_index":1101,"clock_position":1101,"value":360},{"alpha_index":1389,"clock_position":1389,"value":433},{"alpha_index":1677,"clock_position":1677,"value":73}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-238","alpha_indices":[238,526,814,1102,1390,1678],"clock_positions":[238,526,814,1102,1390,1678],"native_values":[12,14,2,851,849,861],"rotation_degrees":49.583333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":238,"clock_position":238,"value":12},{"alpha_index":526,"clock_position":526,"value":14},{"alpha_index":814,"clock_position":814,"value":2},{"alpha_index":1102,"clock_position":1102,"value":851},{"alpha_index":1390,"clock_position":1390,"value":849},{"alpha_index":1678,"clock_position":1678,"value":861}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-239","alpha_indices":[239,527,815,1103,1391,1679],"clock_positions":[239,527,815,1103,1391,1679],"native_values":[515,444,792,348,419,71],"rotation_degrees":49.791666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":239,"clock_position":239,"value":515},{"alpha_index":527,"clock_position":527,"value":444},{"alpha_index":815,"clock_position":815,"value":792},{"alpha_index":1103,"clock_position":1103,"value":348},{"alpha_index":1391,"clock_position":1391,"value":419},{"alpha_index":1679,"clock_position":1679,"value":71}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-240","alpha_indices":[240,528,816,1104,1392,1680],"clock_positions":[240,528,816,1104,1392,1680],"native_values":[527,458,794,336,405,69],"rotation_degrees":50.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":240,"clock_position":240,"value":527},{"alpha_index":528,"clock_position":528,"value":458},{"alpha_index":816,"clock_position":816,"value":794},{"alpha_index":1104,"clock_position":1104,"value":336},{"alpha_index":1392,"clock_position":1392,"value":405},{"alpha_index":1680,"clock_position":1680,"value":69}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-241","alpha_indices":[241,529,817,1105,1393,1681],"clock_positions":[241,529,817,1105,1393,1681],"native_values":[179,39,723,684,824,140],"rotation_degrees":50.208333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":241,"clock_position":241,"value":179},{"alpha_index":529,"clock_position":529,"value":39},{"alpha_index":817,"clock_position":817,"value":723},{"alpha_index":1105,"clock_position":1105,"value":684},{"alpha_index":1393,"clock_position":1393,"value":824},{"alpha_index":1681,"clock_position":1681,"value":140}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-242","alpha_indices":[242,530,818,1106,1394,1682],"clock_positions":[242,530,818,1106,1394,1682],"native_values":[706,497,654,157,366,209],"rotation_degrees":50.416666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":242,"clock_position":242,"value":706},{"alpha_index":530,"clock_position":530,"value":497},{"alpha_index":818,"clock_position":818,"value":654},{"alpha_index":1106,"clock_position":1106,"value":157},{"alpha_index":1394,"clock_position":1394,"value":366},{"alpha_index":1682,"clock_position":1682,"value":209}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-243","alpha_indices":[243,531,819,1107,1395,1683],"clock_positions":[243,531,819,1107,1395,1683],"native_values":[22,536,514,841,327,349],"rotation_degrees":50.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":243,"clock_position":243,"value":22},{"alpha_index":531,"clock_position":531,"value":536},{"alpha_index":819,"clock_position":819,"value":514},{"alpha_index":1107,"clock_position":1107,"value":841},{"alpha_index":1395,"clock_position":1395,"value":327},{"alpha_index":1683,"clock_position":1683,"value":349}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-244","alpha_indices":[244,532,820,1108,1396,1684],"clock_positions":[244,532,820,1108,1396,1684],"native_values":[728,170,305,135,693,558],"rotation_degrees":50.833333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":244,"clock_position":244,"value":728},{"alpha_index":532,"clock_position":532,"value":170},{"alpha_index":820,"clock_position":820,"value":305},{"alpha_index":1108,"clock_position":1108,"value":135},{"alpha_index":1396,"clock_position":1396,"value":693},{"alpha_index":1684,"clock_position":1684,"value":558}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-245","alpha_indices":[245,533,821,1109,1397,1685],"clock_positions":[245,533,821,1109,1397,1685],"native_values":[750,706,819,113,157,44],"rotation_degrees":51.041666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":245,"clock_position":245,"value":750},{"alpha_index":533,"clock_position":533,"value":706},{"alpha_index":821,"clock_position":821,"value":819},{"alpha_index":1109,"clock_position":1109,"value":113},{"alpha_index":1397,"clock_position":1397,"value":157},{"alpha_index":1685,"clock_position":1685,"value":44}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-246","alpha_indices":[246,534,822,1110,1398,1686],"clock_positions":[246,534,822,1110,1398,1686],"native_values":[615,13,261,248,850,602],"rotation_degrees":51.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":246,"clock_position":246,"value":615},{"alpha_index":534,"clock_position":534,"value":13},{"alpha_index":822,"clock_position":822,"value":261},{"alpha_index":1110,"clock_position":1110,"value":248},{"alpha_index":1398,"clock_position":1398,"value":850},{"alpha_index":1686,"clock_position":1686,"value":602}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-247","alpha_indices":[247,535,823,1111,1399,1687],"clock_positions":[247,535,823,1111,1399,1687],"native_values":[502,719,217,361,144,646],"rotation_degrees":51.458333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":247,"clock_position":247,"value":502},{"alpha_index":535,"clock_position":535,"value":719},{"alpha_index":823,"clock_position":823,"value":217},{"alpha_index":1111,"clock_position":1111,"value":361},{"alpha_index":1399,"clock_position":1399,"value":144},{"alpha_index":1687,"clock_position":1687,"value":646}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-248","alpha_indices":[248,536,824,1112,1400,1688],"clock_positions":[248,536,824,1112,1400,1688],"native_values":[254,732,478,609,131,385],"rotation_degrees":51.666666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":248,"clock_position":248,"value":254},{"alpha_index":536,"clock_position":536,"value":732},{"alpha_index":824,"clock_position":824,"value":478},{"alpha_index":1112,"clock_position":1112,"value":609},{"alpha_index":1400,"clock_position":1400,"value":131},{"alpha_index":1688,"clock_position":1688,"value":385}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-249","alpha_indices":[249,537,825,1113,1401,1689],"clock_positions":[249,537,825,1113,1401,1689],"native_values":[756,588,695,107,275,168],"rotation_degrees":51.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":249,"clock_position":249,"value":756},{"alpha_index":537,"clock_position":537,"value":588},{"alpha_index":825,"clock_position":825,"value":695},{"alpha_index":1113,"clock_position":1113,"value":107},{"alpha_index":1401,"clock_position":1401,"value":275},{"alpha_index":1689,"clock_position":1689,"value":168}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-250","alpha_indices":[250,538,826,1114,1402,1690],"clock_positions":[250,538,826,1114,1402,1690],"native_values":[147,457,310,716,406,553],"rotation_degrees":52.083333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":250,"clock_position":250,"value":147},{"alpha_index":538,"clock_position":538,"value":457},{"alpha_index":826,"clock_position":826,"value":310},{"alpha_index":1114,"clock_position":1114,"value":716},{"alpha_index":1402,"clock_position":1402,"value":406},{"alpha_index":1690,"clock_position":1690,"value":553}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-251","alpha_indices":[251,539,827,1115,1403,1691],"clock_positions":[251,539,827,1115,1403,1691],"native_values":[40,182,142,823,681,721],"rotation_degrees":52.291666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":251,"clock_position":251,"value":40},{"alpha_index":539,"clock_position":539,"value":182},{"alpha_index":827,"clock_position":827,"value":142},{"alpha_index":1115,"clock_position":1115,"value":823},{"alpha_index":1403,"clock_position":1403,"value":681},{"alpha_index":1691,"clock_position":1691,"value":721}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-252","alpha_indices":[252,540,828,1116,1404,1692],"clock_positions":[252,540,828,1116,1404,1692],"native_values":[187,639,452,676,224,411],"rotation_degrees":52.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":252,"clock_position":252,"value":187},{"alpha_index":540,"clock_position":540,"value":639},{"alpha_index":828,"clock_position":828,"value":452},{"alpha_index":1116,"clock_position":1116,"value":676},{"alpha_index":1404,"clock_position":1404,"value":224},{"alpha_index":1692,"clock_position":1692,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-253","alpha_indices":[253,541,829,1117,1405,1693],"clock_positions":[253,541,829,1117,1405,1693],"native_values":[227,821,594,636,42,269],"rotation_degrees":52.708333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":253,"clock_position":253,"value":227},{"alpha_index":541,"clock_position":541,"value":821},{"alpha_index":829,"clock_position":829,"value":594},{"alpha_index":1117,"clock_position":1117,"value":636},{"alpha_index":1405,"clock_position":1405,"value":42},{"alpha_index":1693,"clock_position":1693,"value":269}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-254","alpha_indices":[254,542,830,1118,1406,1694],"clock_positions":[254,542,830,1118,1406,1694],"native_values":[414,597,183,449,266,680],"rotation_degrees":52.916666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":254,"clock_position":254,"value":414},{"alpha_index":542,"clock_position":542,"value":597},{"alpha_index":830,"clock_position":830,"value":183},{"alpha_index":1118,"clock_position":1118,"value":449},{"alpha_index":1406,"clock_position":1406,"value":266},{"alpha_index":1694,"clock_position":1694,"value":680}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-255","alpha_indices":[255,543,831,1119,1407,1695],"clock_positions":[255,543,831,1119,1407,1695],"native_values":[641,555,777,222,308,86],"rotation_degrees":53.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":255,"clock_position":255,"value":641},{"alpha_index":543,"clock_position":543,"value":555},{"alpha_index":831,"clock_position":831,"value":777},{"alpha_index":1119,"clock_position":1119,"value":222},{"alpha_index":1407,"clock_position":1407,"value":308},{"alpha_index":1695,"clock_position":1695,"value":86}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-256","alpha_indices":[256,544,832,1120,1408,1696],"clock_positions":[256,544,832,1120,1408,1696],"native_values":[192,289,97,671,574,766],"rotation_degrees":53.333333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":256,"clock_position":256,"value":192},{"alpha_index":544,"clock_position":544,"value":289},{"alpha_index":832,"clock_position":832,"value":97},{"alpha_index":1120,"clock_position":1120,"value":671},{"alpha_index":1408,"clock_position":1408,"value":574},{"alpha_index":1696,"clock_position":1696,"value":766}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-257","alpha_indices":[257,545,833,1121,1409,1697],"clock_positions":[257,545,833,1121,1409,1697],"native_values":[833,844,11,30,19,852],"rotation_degrees":53.541666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":257,"clock_position":257,"value":833},{"alpha_index":545,"clock_position":545,"value":844},{"alpha_index":833,"clock_position":833,"value":11},{"alpha_index":1121,"clock_position":1121,"value":30},{"alpha_index":1409,"clock_position":1409,"value":19},{"alpha_index":1697,"clock_position":1697,"value":852}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-258","alpha_indices":[258,546,834,1122,1410,1698],"clock_positions":[258,546,834,1122,1410,1698],"native_values":[162,270,108,701,593,755],"rotation_degrees":53.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":258,"clock_position":258,"value":162},{"alpha_index":546,"clock_position":546,"value":270},{"alpha_index":834,"clock_position":834,"value":108},{"alpha_index":1122,"clock_position":1122,"value":701},{"alpha_index":1410,"clock_position":1410,"value":593},{"alpha_index":1698,"clock_position":1698,"value":755}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-259","alpha_indices":[259,547,835,1123,1411,1699],"clock_positions":[259,547,835,1123,1411,1699],"native_values":[132,251,119,731,612,744],"rotation_degrees":53.958333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":259,"clock_position":259,"value":132},{"alpha_index":547,"clock_position":547,"value":251},{"alpha_index":835,"clock_position":835,"value":119},{"alpha_index":1123,"clock_position":1123,"value":731},{"alpha_index":1411,"clock_position":1411,"value":612},{"alpha_index":1699,"clock_position":1699,"value":744}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-260","alpha_indices":[260,548,836,1124,1412,1700],"clock_positions":[260,548,836,1124,1412,1700],"native_values":[294,521,227,569,342,636],"rotation_degrees":54.166666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":260,"clock_position":260,"value":294},{"alpha_index":548,"clock_position":548,"value":521},{"alpha_index":836,"clock_position":836,"value":227},{"alpha_index":1124,"clock_position":1124,"value":569},{"alpha_index":1412,"clock_position":1412,"value":342},{"alpha_index":1700,"clock_position":1700,"value":636}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-261","alpha_indices":[261,549,837,1125,1413,1701],"clock_positions":[261,549,837,1125,1413,1701],"native_values":[426,772,346,437,91,517],"rotation_degrees":54.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":261,"clock_position":261,"value":426},{"alpha_index":549,"clock_position":549,"value":772},{"alpha_index":837,"clock_position":837,"value":346},{"alpha_index":1125,"clock_position":1125,"value":437},{"alpha_index":1413,"clock_position":1413,"value":91},{"alpha_index":1701,"clock_position":1701,"value":517}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-262","alpha_indices":[262,550,838,1126,1414,1702],"clock_positions":[262,550,838,1126,1414,1702],"native_values":[720,430,573,143,433,290],"rotation_degrees":54.583333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":262,"clock_position":262,"value":720},{"alpha_index":550,"clock_position":550,"value":430},{"alpha_index":838,"clock_position":838,"value":573},{"alpha_index":1126,"clock_position":1126,"value":143},{"alpha_index":1414,"clock_position":1414,"value":433},{"alpha_index":1702,"clock_position":1702,"value":290}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-263","alpha_indices":[263,551,839,1127,1415,1703],"clock_positions":[263,551,839,1127,1415,1703],"native_values":[283,339,56,580,524,807],"rotation_degrees":54.791666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":263,"clock_position":263,"value":283},{"alpha_index":551,"clock_position":551,"value":339},{"alpha_index":839,"clock_position":839,"value":56},{"alpha_index":1127,"clock_position":1127,"value":580},{"alpha_index":1415,"clock_position":1415,"value":524},{"alpha_index":1703,"clock_position":1703,"value":807}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-264","alpha_indices":[264,552,840,1128,1416,1704],"clock_positions":[264,552,840,1128,1416,1704],"native_values":[140,769,629,723,94,234],"rotation_degrees":55.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":264,"clock_position":264,"value":140},{"alpha_index":552,"clock_position":552,"value":769},{"alpha_index":840,"clock_position":840,"value":629},{"alpha_index":1128,"clock_position":1128,"value":723},{"alpha_index":1416,"clock_position":1416,"value":94},{"alpha_index":1704,"clock_position":1704,"value":234}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-265","alpha_indices":[265,553,841,1129,1417,1705],"clock_positions":[265,553,841,1129,1417,1705],"native_values":[423,245,685,440,618,178],"rotation_degrees":55.208333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":265,"clock_position":265,"value":423},{"alpha_index":553,"clock_position":553,"value":245},{"alpha_index":841,"clock_position":841,"value":685},{"alpha_index":1129,"clock_position":1129,"value":440},{"alpha_index":1417,"clock_position":1417,"value":618},{"alpha_index":1705,"clock_position":1705,"value":178}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-266","alpha_indices":[266,554,842,1130,1418,1706],"clock_positions":[266,554,842,1130,1418,1706],"native_values":[563,151,451,300,712,412],"rotation_degrees":55.416666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":266,"clock_position":266,"value":563},{"alpha_index":554,"clock_position":554,"value":151},{"alpha_index":842,"clock_position":842,"value":451},{"alpha_index":1130,"clock_position":1130,"value":300},{"alpha_index":1418,"clock_position":1418,"value":712},{"alpha_index":1706,"clock_position":1706,"value":412}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-267","alpha_indices":[267,555,843,1131,1419,1707],"clock_positions":[267,555,843,1131,1419,1707],"native_values":[123,396,273,740,467,590],"rotation_degrees":55.625,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":267,"clock_position":267,"value":123},{"alpha_index":555,"clock_position":555,"value":396},{"alpha_index":843,"clock_position":843,"value":273},{"alpha_index":1131,"clock_position":1131,"value":740},{"alpha_index":1419,"clock_position":1419,"value":467},{"alpha_index":1707,"clock_position":1707,"value":590}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-268","alpha_indices":[268,556,844,1132,1420,1708],"clock_positions":[268,556,844,1132,1420,1708],"native_values":[686,547,724,177,316,139],"rotation_degrees":55.833333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":268,"clock_position":268,"value":686},{"alpha_index":556,"clock_position":556,"value":547},{"alpha_index":844,"clock_position":844,"value":724},{"alpha_index":1132,"clock_position":1132,"value":177},{"alpha_index":1420,"clock_position":1420,"value":316},{"alpha_index":1708,"clock_position":1708,"value":139}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-269","alpha_indices":[269,557,845,1133,1421,1709],"clock_positions":[269,557,845,1133,1421,1709],"native_values":[809,80,134,54,783,729],"rotation_degrees":56.041666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":269,"clock_position":269,"value":809},{"alpha_index":557,"clock_position":557,"value":80},{"alpha_index":845,"clock_position":845,"value":134},{"alpha_index":1133,"clock_position":1133,"value":54},{"alpha_index":1421,"clock_position":1421,"value":783},{"alpha_index":1709,"clock_position":1709,"value":729}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-270","alpha_indices":[270,558,846,1134,1422,1710],"clock_positions":[270,558,846,1134,1422,1710],"native_values":[632,627,858,231,236,5],"rotation_degrees":56.25,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":270,"clock_position":270,"value":632},{"alpha_index":558,"clock_position":558,"value":627},{"alpha_index":846,"clock_position":846,"value":858},{"alpha_index":1134,"clock_position":1134,"value":231},{"alpha_index":1422,"clock_position":1422,"value":236},{"alpha_index":1710,"clock_position":1710,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-271","alpha_indices":[271,559,847,1135,1423,1711],"clock_positions":[271,559,847,1135,1423,1711],"native_values":[578,707,129,285,156,734],"rotation_degrees":56.458333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":271,"clock_position":271,"value":578},{"alpha_index":559,"clock_position":559,"value":707},{"alpha_index":847,"clock_position":847,"value":129},{"alpha_index":1135,"clock_position":1135,"value":285},{"alpha_index":1423,"clock_position":1423,"value":156},{"alpha_index":1711,"clock_position":1711,"value":734}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-272","alpha_indices":[272,560,848,1136,1424,1712],"clock_positions":[272,560,848,1136,1424,1712],"native_values":[347,471,124,516,392,739],"rotation_degrees":56.666666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":272,"clock_position":272,"value":347},{"alpha_index":560,"clock_position":560,"value":471},{"alpha_index":848,"clock_position":848,"value":124},{"alpha_index":1136,"clock_position":1136,"value":516},{"alpha_index":1424,"clock_position":1424,"value":392},{"alpha_index":1712,"clock_position":1712,"value":739}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-273","alpha_indices":[273,561,849,1137,1425,1713],"clock_positions":[273,561,849,1137,1425,1713],"native_values":[62,315,253,801,548,610],"rotation_degrees":56.875,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":273,"clock_position":273,"value":62},{"alpha_index":561,"clock_position":561,"value":315},{"alpha_index":849,"clock_position":849,"value":253},{"alpha_index":1137,"clock_position":1137,"value":801},{"alpha_index":1425,"clock_position":1425,"value":548},{"alpha_index":1713,"clock_position":1713,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-274","alpha_indices":[274,562,850,1138,1426,1714],"clock_positions":[274,562,850,1138,1426,1714],"native_values":[409,786,377,454,77,486],"rotation_degrees":57.083333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":274,"clock_position":274,"value":409},{"alpha_index":562,"clock_position":562,"value":786},{"alpha_index":850,"clock_position":850,"value":377},{"alpha_index":1138,"clock_position":1138,"value":454},{"alpha_index":1426,"clock_position":1426,"value":77},{"alpha_index":1714,"clock_position":1714,"value":486}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-275","alpha_indices":[275,563,851,1139,1427,1715],"clock_positions":[275,563,851,1139,1427,1715],"native_values":[471,238,630,392,625,233],"rotation_degrees":57.291666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":275,"clock_position":275,"value":471},{"alpha_index":563,"clock_position":563,"value":238},{"alpha_index":851,"clock_position":851,"value":630},{"alpha_index":1139,"clock_position":1139,"value":392},{"alpha_index":1427,"clock_position":1427,"value":625},{"alpha_index":1715,"clock_position":1715,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-276","alpha_indices":[276,564,852,1140,1428,1716],"clock_positions":[276,564,852,1140,1428,1716],"native_values":[17,161,144,846,702,719],"rotation_degrees":57.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":276,"clock_position":276,"value":17},{"alpha_index":564,"clock_position":564,"value":161},{"alpha_index":852,"clock_position":852,"value":144},{"alpha_index":1140,"clock_position":1140,"value":846},{"alpha_index":1428,"clock_position":1428,"value":702},{"alpha_index":1716,"clock_position":1716,"value":719}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-277","alpha_indices":[277,565,853,1141,1429,1717],"clock_positions":[277,565,853,1141,1429,1717],"native_values":[488,399,774,375,464,89],"rotation_degrees":57.708333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":277,"clock_position":277,"value":488},{"alpha_index":565,"clock_position":565,"value":399},{"alpha_index":853,"clock_position":853,"value":774},{"alpha_index":1141,"clock_position":1141,"value":375},{"alpha_index":1429,"clock_position":1429,"value":464},{"alpha_index":1717,"clock_position":1717,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-278","alpha_indices":[278,566,854,1142,1430,1718],"clock_positions":[278,566,854,1142,1430,1718],"native_values":[505,560,55,358,303,808],"rotation_degrees":57.916666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":278,"clock_position":278,"value":505},{"alpha_index":566,"clock_position":566,"value":560},{"alpha_index":854,"clock_position":854,"value":55},{"alpha_index":1142,"clock_position":1142,"value":358},{"alpha_index":1430,"clock_position":1430,"value":303},{"alpha_index":1718,"clock_position":1718,"value":808}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-279","alpha_indices":[279,567,855,1143,1431,1719],"clock_positions":[279,567,855,1143,1431,1719],"native_values":[130,96,829,733,767,34],"rotation_degrees":58.125,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":279,"clock_position":279,"value":130},{"alpha_index":567,"clock_position":567,"value":96},{"alpha_index":855,"clock_position":855,"value":829},{"alpha_index":1143,"clock_position":1143,"value":733},{"alpha_index":1431,"clock_position":1431,"value":767},{"alpha_index":1719,"clock_position":1719,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-280","alpha_indices":[280,568,856,1144,1432,1720],"clock_positions":[280,568,856,1144,1432,1720],"native_values":[635,656,21,228,207,842],"rotation_degrees":58.333333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":280,"clock_position":280,"value":635},{"alpha_index":568,"clock_position":568,"value":656},{"alpha_index":856,"clock_position":856,"value":21},{"alpha_index":1144,"clock_position":1144,"value":228},{"alpha_index":1432,"clock_position":1432,"value":207},{"alpha_index":1720,"clock_position":1720,"value":842}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-281","alpha_indices":[281,569,857,1145,1433,1721],"clock_positions":[281,569,857,1145,1433,1721],"native_values":[765,752,850,98,111,13],"rotation_degrees":58.541666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":281,"clock_position":281,"value":765},{"alpha_index":569,"clock_position":569,"value":752},{"alpha_index":857,"clock_position":857,"value":850},{"alpha_index":1145,"clock_position":1145,"value":98},{"alpha_index":1433,"clock_position":1433,"value":111},{"alpha_index":1721,"clock_position":1721,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-282","alpha_indices":[282,570,858,1146,1434,1722],"clock_positions":[282,570,858,1146,1434,1722],"native_values":[537,545,8,326,318,855],"rotation_degrees":58.75,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":282,"clock_position":282,"value":537},{"alpha_index":570,"clock_position":570,"value":545},{"alpha_index":858,"clock_position":858,"value":8},{"alpha_index":1146,"clock_position":1146,"value":326},{"alpha_index":1434,"clock_position":1434,"value":318},{"alpha_index":1722,"clock_position":1722,"value":855}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-283","alpha_indices":[283,571,859,1147,1435,1723],"clock_positions":[283,571,859,1147,1435,1723],"native_values":[439,434,858,424,429,5],"rotation_degrees":58.958333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":283,"clock_position":283,"value":439},{"alpha_index":571,"clock_position":571,"value":434},{"alpha_index":859,"clock_position":859,"value":858},{"alpha_index":1147,"clock_position":1147,"value":424},{"alpha_index":1435,"clock_position":1435,"value":429},{"alpha_index":1723,"clock_position":1723,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-284","alpha_indices":[284,572,860,1148,1436,1724],"clock_positions":[284,572,860,1148,1436,1724],"native_values":[113,116,3,750,747,860],"rotation_degrees":59.166666666666664,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":284,"clock_position":284,"value":113},{"alpha_index":572,"clock_position":572,"value":116},{"alpha_index":1148,"clock_position":1148,"value":750},{"alpha_index":1436,"clock_position":1436,"value":747},{"alpha_index":1724,"clock_position":1724,"value":860}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-285","alpha_indices":[285,573,861,1149,1437,1725],"clock_positions":[285,573,861,1149,1437,1725],"native_values":[552,550,861,311,313,2],"rotation_degrees":59.375,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":285,"clock_position":285,"value":552},{"alpha_index":573,"clock_position":573,"value":550},{"alpha_index":861,"clock_position":861,"value":861},{"alpha_index":1149,"clock_position":1149,"value":311},{"alpha_index":1437,"clock_position":1437,"value":313},{"alpha_index":1725,"clock_position":1725,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-286","alpha_indices":[286,574,862,1150,1438,1726],"clock_positions":[286,574,862,1150,1438,1726],"native_values":[665,666,1,198,197,862],"rotation_degrees":59.583333333333336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":286,"clock_position":286,"value":665},{"alpha_index":574,"clock_position":574,"value":666},{"alpha_index":862,"clock_position":862,"value":1},{"alpha_index":1150,"clock_position":1150,"value":198},{"alpha_index":1438,"clock_position":1438,"value":197},{"alpha_index":1726,"clock_position":1726,"value":862}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-287","alpha_indices":[287,575,863,1151,1439,1727],"clock_positions":[287,575,863,1151,1439,1727],"native_values":[354,353,862,509,510,1],"rotation_degrees":59.791666666666664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":287,"clock_position":287,"value":354},{"alpha_index":575,"clock_position":575,"value":353},{"alpha_index":863,"clock_position":863,"value":862},{"alpha_index":1151,"clock_position":1151,"value":509},{"alpha_index":1439,"clock_position":1439,"value":510},{"alpha_index":1727,"clock_position":1727,"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/m863/alpha.svg","png":"pilot-v1/views/m863/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m863/beta.svg","png":"pilot-v1/views/m863/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m863/gamma.svg","png":"pilot-v1/views/m863/gamma.png"},{"id":"fibonacci-m863p1728","name":"Fibonacci M863P1728","svg":"pilot-v1/views/m863/fibonacci-m863p1728.svg","png":"pilot-v1/views/m863/fibonacci-m863p1728.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}}