{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m773-p1548","name":"Fibonacci M773P1548","modulus":773,"pisano_period":1548,"conventions":{"index_origin":0,"clock_labels":[1548,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547],"orientation":"clockwise from north","zero_display":773,"alpha_circle_positions":1548,"beta_circle_positions":773,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,214,51,265,316,581,124,705,56,761,44,32,76,108,184,292,476,768,471,466,164,630,21,651,672,550,449,226,675,128,30,158,188,346,534,107,641,748,616,591,434,252,686,165,78,243,321,564,112,676,15,691,706,624,557,408,192,600,19,619,638,484,349,60,409,469,105,574,679,480,386,93,479,572,278,77,355,432,14,446,460,133,593,726,546,499,272,771,270,268,538,33,571,604,402,233,635,95,730,52,9,61,70,131,201,332,533,92,625,717,569,513,309,49,358,407,765,399,391,17,408,425,60,485,545,257,29,286,315,601,143,744,114,85,199,284,483,767,477,471,175,646,48,694,742,663,632,522,381,130,511,641,379,247,626,100,726,53,6,59,65,124,189,313,502,42,544,586,357,170,527,697,451,375,53,428,481,136,617,753,597,577,401,205,606,38,644,682,553,462,242,704,173,104,277,381,658,266,151,417,568,212,7,219,226,445,671,343,241,584,52,636,688,551,466,244,710,181,118,299,417,716,360,303,663,193,83,276,359,635,221,83,304,387,691,305,223,528,751,506,484,217,701,145,73,218,291,509,27,536,563,326,116,442,558,227,12,239,251,490,741,458,426,111,537,648,412,287,699,213,139,352,491,70,561,631,419,277,696,200,123,323,446,769,442,438,107,545,652,424,303,727,257,211,468,679,374,280,654,161,42,203,245,448,693,368,288,656,171,54,225,279,504,10,514,524,265,16,281,297,578,102,680,9,689,698,614,539,380,146,526,672,425,324,749,300,276,576,79,655,734,616,577,420,224,644,95,739,61,27,88,115,203,318,521,66,587,653,467,347,41,388,429,44,473,517,217,734,178,139,317,456,0,456,456,139,595,734,556,517,300,44,344,388,732,347,306,653,186,66,252,318,570,115,685,27,712,739,678,644,549,420,196,616,39,655,694,576,497,300,24,324,348,672,247,146,393,539,159,698,84,9,93,102,195,297,492,16,508,524,259,10,269,279,548,54,602,656,485,368,80,448,528,203,731,161,119,280,399,679,305,211,516,727,470,424,121,545,666,438,331,769,327,323,650,200,77,277,354,631,212,70,282,352,634,213,74,287,361,648,236,111,347,458,32,490,522,239,761,227,215,442,657,326,210,536,746,509,482,218,700,145,72,217,289,506,22,528,550,305,82,387,469,83,552,635,414,276,690,193,110,303,413,716,356,299,655,181,63,244,307,551,85,636,721,584,532,343,102,445,547,219,766,212,205,417,622,266,115,381,496,104,600,704,531,462,220,682,129,38,167,205,372,577,176,753,156,136,292,428,720,375,322,697,246,170,416,586,229,42,271,313,584,124,708,59,767,53,47,100,147,247,394,641,262,130,392,522,141,663,31,694,725,646,598,471,296,767,290,284,574,85,659,744,630,601,458,286,744,257,228,485,713,425,365,17,382,399,8,407,415,49,464,513,204,717,148,92,240,332,572,131,703,61,764,52,43,95,138,233,371,604,202,33,235,268,503,771,501,499,227,726,180,133,313,446,759,432,418,77,495,572,294,93,387,480,94,574,668,469,364,60,424,484,135,619,754,600,581,408,216,624,67,691,758,676,661,564,452,243,695,165,87,252,339,591,157,748,132,107,239,346,585,158,743,128,98,226,324,550,101,651,752,630,609,466,302,768,297,292,589,108,697,32,729,761,717,705,649,581,457,265,722,214,163,377,540,144,684,55,739,21,760,8,768,3,771,1,772,0,772,772,771,770,768,765,760,752,739,718,684,629,540,396,163,559,722,508,457,192,649,68,717,12,729,741,697,665,589,481,297,5,302,307,609,143,752,122,101,223,324,547,98,645,743,615,585,427,239,666,132,25,157,182,339,521,87,608,695,530,452,209,661,97,758,82,67,149,216,365,581,173,754,154,135,289,424,713,364,304,668,199,94,293,387,680,294,201,495,696,418,341,759,327,313,640,180,47,227,274,501,2,503,505,235,740,202,169,371,540,138,678,43,721,764,712,703,642,572,441,240,681,148,56,204,260,464,724,415,366,8,374,382,756,365,348,713,288,228,516,744,487,458,172,630,29,659,688,574,489,290,6,296,302,598,127,725,79,31,110,141,251,392,643,262,132,394,526,147,673,47,720,767,714,708,649,584,460,271,731,229,187,416,603,246,76,322,398,720,345,292,637,156,20,176,196,372,568,167,735,129,91,220,311,531,69,600,669,496,392,115,507,622,356,205,561,766,554,547,328,102,430,532,189,721,137,85,222,307,529,63,592,655,474,356,57,413,470,110,580,690,497,414,138,552,690,469,386,82,468,550,245,22,267,289,556,72,628,700,555,482,264,746,237,210,447,657,331,215,546,761,534,522,283,32,315,347,662,236,125,361,486,74,560,634,421,282,703,212,142,354,496,77,573,650,450,327,4,331,335,666,228,121,349,470,46,516,562,305,94,399,493,119,612,731,570,528,325,80,405,485,117,602,719,548,494,269,763,259,249,508,757,492,476,195,671,93,764,84,75,159,234,393,627,247,101,348,449,24,473,497,197,694,118,39,157,196,353,549,129,678,34,712,746,685,658,570,455,252,707,186,120,306,426,732,385,344,729,300,256,556,39,595,634,456,317,0,317,317,634,178,39,217,256,473,729,429,385,41,426,467,120,587,707,521,455,203,658,88,746,61,34,95,129,224,353,577,157,734,118,79,197,276,473,749,449,425,101,526,627,380,234,614,75,689,764,680,671,578,476,281,757,265,249,514,763,504,494,225,719,171,117,288,405,693,325,245,570,42,612,654,493,374,94,468,562,257,46,303,349,652,228,107,335,442,4,446,450,123,573,696,496,419,142,561,703,491,421,139,560,699,486,412,125,537,662,426,315,741,283,251,534,12,546,558,331,116,447,563,237,27,264,291,555,73,628,701,556,484,267,751,245,223,468,691,386,304,690,221,138,359,497,83,580,663,470,360,57,417,474,118,592,710,529,466,222,688,137,52,189,241,430,671,328,226,554,7,561,568,356,151,507,658,392,277,669,173,69,242,311,553,91,644,735,606,568,401,196,597,20,617,637,481,345,53,398,451,76,527,603,357,187,544,731,502,460,189,649,65,714,6,720,726,673,626,526,379,132,511,643,381,251,632,110,742,79,48,127,175,302,477,6,483,489,199,688,114,29,143,172,315,487,29,516,545,288,60,348,408,756,391,374,765,366,358,724,309,260,569,56,625,681,533,441,201,642,70,712,9,721,730,678,635,540,402,169,571,740,538,505,270,2,272,274,546,47,593,640,460,327,14,341,355,696,278,201,479,680,386,293,679,199,105,304,409,713,349,289,638,154,19,173,192,365,557,149,706,82,15,97,112,209,321,530,78,608,686,521,434,182,616,25,641,666,534,427,188,615,30,645,675,547,449,223,672,122,21,143,164,307,471,5,476,481,184,665,76,741,44,12,56,68,124,192,316,508,51,559,610,396,233,629,89,718,34,752,13,765,5,770,2,772,1],"display_values":[773,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,214,51,265,316,581,124,705,56,761,44,32,76,108,184,292,476,768,471,466,164,630,21,651,672,550,449,226,675,128,30,158,188,346,534,107,641,748,616,591,434,252,686,165,78,243,321,564,112,676,15,691,706,624,557,408,192,600,19,619,638,484,349,60,409,469,105,574,679,480,386,93,479,572,278,77,355,432,14,446,460,133,593,726,546,499,272,771,270,268,538,33,571,604,402,233,635,95,730,52,9,61,70,131,201,332,533,92,625,717,569,513,309,49,358,407,765,399,391,17,408,425,60,485,545,257,29,286,315,601,143,744,114,85,199,284,483,767,477,471,175,646,48,694,742,663,632,522,381,130,511,641,379,247,626,100,726,53,6,59,65,124,189,313,502,42,544,586,357,170,527,697,451,375,53,428,481,136,617,753,597,577,401,205,606,38,644,682,553,462,242,704,173,104,277,381,658,266,151,417,568,212,7,219,226,445,671,343,241,584,52,636,688,551,466,244,710,181,118,299,417,716,360,303,663,193,83,276,359,635,221,83,304,387,691,305,223,528,751,506,484,217,701,145,73,218,291,509,27,536,563,326,116,442,558,227,12,239,251,490,741,458,426,111,537,648,412,287,699,213,139,352,491,70,561,631,419,277,696,200,123,323,446,769,442,438,107,545,652,424,303,727,257,211,468,679,374,280,654,161,42,203,245,448,693,368,288,656,171,54,225,279,504,10,514,524,265,16,281,297,578,102,680,9,689,698,614,539,380,146,526,672,425,324,749,300,276,576,79,655,734,616,577,420,224,644,95,739,61,27,88,115,203,318,521,66,587,653,467,347,41,388,429,44,473,517,217,734,178,139,317,456,773,456,456,139,595,734,556,517,300,44,344,388,732,347,306,653,186,66,252,318,570,115,685,27,712,739,678,644,549,420,196,616,39,655,694,576,497,300,24,324,348,672,247,146,393,539,159,698,84,9,93,102,195,297,492,16,508,524,259,10,269,279,548,54,602,656,485,368,80,448,528,203,731,161,119,280,399,679,305,211,516,727,470,424,121,545,666,438,331,769,327,323,650,200,77,277,354,631,212,70,282,352,634,213,74,287,361,648,236,111,347,458,32,490,522,239,761,227,215,442,657,326,210,536,746,509,482,218,700,145,72,217,289,506,22,528,550,305,82,387,469,83,552,635,414,276,690,193,110,303,413,716,356,299,655,181,63,244,307,551,85,636,721,584,532,343,102,445,547,219,766,212,205,417,622,266,115,381,496,104,600,704,531,462,220,682,129,38,167,205,372,577,176,753,156,136,292,428,720,375,322,697,246,170,416,586,229,42,271,313,584,124,708,59,767,53,47,100,147,247,394,641,262,130,392,522,141,663,31,694,725,646,598,471,296,767,290,284,574,85,659,744,630,601,458,286,744,257,228,485,713,425,365,17,382,399,8,407,415,49,464,513,204,717,148,92,240,332,572,131,703,61,764,52,43,95,138,233,371,604,202,33,235,268,503,771,501,499,227,726,180,133,313,446,759,432,418,77,495,572,294,93,387,480,94,574,668,469,364,60,424,484,135,619,754,600,581,408,216,624,67,691,758,676,661,564,452,243,695,165,87,252,339,591,157,748,132,107,239,346,585,158,743,128,98,226,324,550,101,651,752,630,609,466,302,768,297,292,589,108,697,32,729,761,717,705,649,581,457,265,722,214,163,377,540,144,684,55,739,21,760,8,768,3,771,1,772,773,772,772,771,770,768,765,760,752,739,718,684,629,540,396,163,559,722,508,457,192,649,68,717,12,729,741,697,665,589,481,297,5,302,307,609,143,752,122,101,223,324,547,98,645,743,615,585,427,239,666,132,25,157,182,339,521,87,608,695,530,452,209,661,97,758,82,67,149,216,365,581,173,754,154,135,289,424,713,364,304,668,199,94,293,387,680,294,201,495,696,418,341,759,327,313,640,180,47,227,274,501,2,503,505,235,740,202,169,371,540,138,678,43,721,764,712,703,642,572,441,240,681,148,56,204,260,464,724,415,366,8,374,382,756,365,348,713,288,228,516,744,487,458,172,630,29,659,688,574,489,290,6,296,302,598,127,725,79,31,110,141,251,392,643,262,132,394,526,147,673,47,720,767,714,708,649,584,460,271,731,229,187,416,603,246,76,322,398,720,345,292,637,156,20,176,196,372,568,167,735,129,91,220,311,531,69,600,669,496,392,115,507,622,356,205,561,766,554,547,328,102,430,532,189,721,137,85,222,307,529,63,592,655,474,356,57,413,470,110,580,690,497,414,138,552,690,469,386,82,468,550,245,22,267,289,556,72,628,700,555,482,264,746,237,210,447,657,331,215,546,761,534,522,283,32,315,347,662,236,125,361,486,74,560,634,421,282,703,212,142,354,496,77,573,650,450,327,4,331,335,666,228,121,349,470,46,516,562,305,94,399,493,119,612,731,570,528,325,80,405,485,117,602,719,548,494,269,763,259,249,508,757,492,476,195,671,93,764,84,75,159,234,393,627,247,101,348,449,24,473,497,197,694,118,39,157,196,353,549,129,678,34,712,746,685,658,570,455,252,707,186,120,306,426,732,385,344,729,300,256,556,39,595,634,456,317,773,317,317,634,178,39,217,256,473,729,429,385,41,426,467,120,587,707,521,455,203,658,88,746,61,34,95,129,224,353,577,157,734,118,79,197,276,473,749,449,425,101,526,627,380,234,614,75,689,764,680,671,578,476,281,757,265,249,514,763,504,494,225,719,171,117,288,405,693,325,245,570,42,612,654,493,374,94,468,562,257,46,303,349,652,228,107,335,442,4,446,450,123,573,696,496,419,142,561,703,491,421,139,560,699,486,412,125,537,662,426,315,741,283,251,534,12,546,558,331,116,447,563,237,27,264,291,555,73,628,701,556,484,267,751,245,223,468,691,386,304,690,221,138,359,497,83,580,663,470,360,57,417,474,118,592,710,529,466,222,688,137,52,189,241,430,671,328,226,554,7,561,568,356,151,507,658,392,277,669,173,69,242,311,553,91,644,735,606,568,401,196,597,20,617,637,481,345,53,398,451,76,527,603,357,187,544,731,502,460,189,649,65,714,6,720,726,673,626,526,379,132,511,643,381,251,632,110,742,79,48,127,175,302,477,6,483,489,199,688,114,29,143,172,315,487,29,516,545,288,60,348,408,756,391,374,765,366,358,724,309,260,569,56,625,681,533,441,201,642,70,712,9,721,730,678,635,540,402,169,571,740,538,505,270,2,272,274,546,47,593,640,460,327,14,341,355,696,278,201,479,680,386,293,679,199,105,304,409,713,349,289,638,154,19,173,192,365,557,149,706,82,15,97,112,209,321,530,78,608,686,521,434,182,616,25,641,666,534,427,188,615,30,645,675,547,449,223,672,122,21,143,164,307,471,5,476,481,184,665,76,741,44,12,56,68,124,192,316,508,51,559,610,396,233,629,89,718,34,752,13,765,5,770,2,772,1]},"gamma":{"alpha_indices":[0,4,8,12,17,22,28,32,33,36,37,38,39,43,45,49,54,56,58,59,60,61,62,65,68,70,71,72,78,81,84,86,92,98,99,102,103,106,109,115,119,124,126,127,131,132,135,137,143,146,147,151,153,154,157,160,162,163,171,173,177,180,183,188,194,195,199,204,210,214,218,226,235,237,238,239,242,248,252,261,263,269,271,275,277,278,279,280,283,284,289,293,295,300,305,309,313,315,319,321,323,324,325,326,327,334,336,338,346,348,350,351,352,358,364,368,370,377,386,387,388,389,395,399,401,403,404,405,406,407,410,413,415,416,419,422,424,425,426,427,428,431,433,435,436,437,438,439,440,441,448,450,457,463,467,473,474,477,483,487,490,494,496,501,507,509,517,522,526,529,531,532,533,536,543,548,553,556,560,564,567,569,570,573,577,580,581,585,586,589,594,599,605,612,613,614,620,628,629,633,635,642,648,649,650,653,663,668,672,673,676,677,681,682,685,687,688,689,690,696,699,702,704,705,706,712,714,716,717,718,719,720,723,727,733,736,738,739,742,743,746,749,751,752,761,762,763,766,769,770,771,774,777,779,780,785,787,788,794,797,798,799,800,805,809,815,818,820,821,824,825,829,831,843,849,859,861,862,863,864,867,868,871,875,884,885,886,892,894,895,896,899,904,908,910,912,913,914,915,919,924,926,935,940,943,946,948,949,958,959,963,964,967,971,974,975,979,980,981,982,986,990,995,998,1002,1005,1008,1010,1015,1017,1018,1019,1020,1024,1028,1031,1034,1036,1038,1039,1040,1041,1044,1046,1047,1050,1056,1061,1065,1068,1070,1071,1075,1076,1081,1085,1088,1090,1091,1094,1096,1104,1107,1109,1111,1113,1114,1115,1116,1117,1118,1121,1123,1129,1133,1134,1135,1141,1143,1145,1146,1147,1148,1149,1152,1153,1156,1159,1161,1166,1170,1171,1174,1176,1188,1197,1204,1206,1208,1218,1221,1223,1225,1226,1227,1228,1229,1232,1233,1234,1235,1239,1243,1246,1252,1253,1254,1255,1259,1265,1266,1269,1271,1272,1273,1276,1277,1278,1279,1282,1284,1285,1286,1287,1288,1294,1298,1302,1304,1309,1311,1312,1313,1314,1320,1324,1332,1336,1340,1342,1348,1349,1353,1358,1364,1365,1371,1374,1375,1376,1377,1382,1385,1391,1395,1396,1397,1398,1401,1405,1408,1410,1411,1412,1413,1414,1417,1418,1421,1426,1428,1429,1430,1433,1436,1438,1439,1445,1449,1454,1458,1460,1467,1477,1483,1487,1489,1498,1499,1502,1503,1504,1505,1509,1511,1515,1522,1524,1528,1531,1534,1542],"clock_positions":[1548,4,8,12,17,22,28,32,33,36,37,38,39,43,45,49,54,56,58,59,60,61,62,65,68,70,71,72,78,81,84,86,92,98,99,102,103,106,109,115,119,124,126,127,131,132,135,137,143,146,147,151,153,154,157,160,162,163,171,173,177,180,183,188,194,195,199,204,210,214,218,226,235,237,238,239,242,248,252,261,263,269,271,275,277,278,279,280,283,284,289,293,295,300,305,309,313,315,319,321,323,324,325,326,327,334,336,338,346,348,350,351,352,358,364,368,370,377,386,387,388,389,395,399,401,403,404,405,406,407,410,413,415,416,419,422,424,425,426,427,428,431,433,435,436,437,438,439,440,441,448,450,457,463,467,473,474,477,483,487,490,494,496,501,507,509,517,522,526,529,531,532,533,536,543,548,553,556,560,564,567,569,570,573,577,580,581,585,586,589,594,599,605,612,613,614,620,628,629,633,635,642,648,649,650,653,663,668,672,673,676,677,681,682,685,687,688,689,690,696,699,702,704,705,706,712,714,716,717,718,719,720,723,727,733,736,738,739,742,743,746,749,751,752,761,762,763,766,769,770,771,774,777,779,780,785,787,788,794,797,798,799,800,805,809,815,818,820,821,824,825,829,831,843,849,859,861,862,863,864,867,868,871,875,884,885,886,892,894,895,896,899,904,908,910,912,913,914,915,919,924,926,935,940,943,946,948,949,958,959,963,964,967,971,974,975,979,980,981,982,986,990,995,998,1002,1005,1008,1010,1015,1017,1018,1019,1020,1024,1028,1031,1034,1036,1038,1039,1040,1041,1044,1046,1047,1050,1056,1061,1065,1068,1070,1071,1075,1076,1081,1085,1088,1090,1091,1094,1096,1104,1107,1109,1111,1113,1114,1115,1116,1117,1118,1121,1123,1129,1133,1134,1135,1141,1143,1145,1146,1147,1148,1149,1152,1153,1156,1159,1161,1166,1170,1171,1174,1176,1188,1197,1204,1206,1208,1218,1221,1223,1225,1226,1227,1228,1229,1232,1233,1234,1235,1239,1243,1246,1252,1253,1254,1255,1259,1265,1266,1269,1271,1272,1273,1276,1277,1278,1279,1282,1284,1285,1286,1287,1288,1294,1298,1302,1304,1309,1311,1312,1313,1314,1320,1324,1332,1336,1340,1342,1348,1349,1353,1358,1364,1365,1371,1374,1375,1376,1377,1382,1385,1391,1395,1396,1397,1398,1401,1405,1408,1410,1411,1412,1413,1414,1417,1418,1421,1426,1428,1429,1430,1433,1436,1438,1439,1445,1449,1454,1458,1460,1467,1477,1483,1487,1489,1498,1499,1502,1503,1504,1505,1509,1511,1515,1522,1524,1528,1531,1534,1542],"clockwise_values":[773,3,21,144,51,705,108,768,471,630,21,651,672,675,30,534,591,252,165,78,243,321,564,15,624,408,192,600,60,105,480,93,432,726,546,771,270,33,402,9,201,717,513,309,765,399,408,60,315,744,114,483,477,471,48,663,522,381,726,6,189,42,357,375,753,597,606,462,381,417,219,636,417,360,303,663,276,387,528,291,27,558,12,741,426,111,537,648,699,213,561,696,123,438,303,468,654,42,693,288,171,54,225,279,504,297,102,9,672,324,300,276,576,420,27,318,66,429,456,773,456,456,300,732,306,186,66,252,318,570,27,678,549,420,39,576,300,24,324,348,672,393,159,84,9,93,102,195,297,492,279,54,528,399,516,666,438,327,354,282,213,648,111,522,657,210,72,528,387,552,414,276,690,303,63,636,102,219,417,381,600,531,462,129,372,753,156,720,375,246,42,708,147,522,141,663,471,744,630,744,228,399,513,204,717,240,138,33,771,501,726,180,759,432,495,294,93,387,480,60,135,600,408,216,624,564,243,165,87,252,339,591,132,585,324,651,630,609,768,297,108,729,717,705,540,144,684,21,768,3,771,773,771,768,765,684,540,396,192,717,12,729,741,297,609,324,645,615,585,666,132,339,87,216,135,387,294,201,495,696,759,327,180,501,540,138,678,642,441,240,681,204,366,756,348,288,228,516,744,630,489,6,141,132,147,720,714,708,603,246,720,345,156,372,735,129,531,69,600,669,507,561,102,189,222,63,474,57,690,414,138,552,690,468,267,72,555,264,237,210,447,657,546,534,522,315,486,282,354,573,450,327,666,228,516,399,612,570,528,405,117,249,492,195,93,84,75,159,234,393,627,348,24,39,549,129,678,570,252,186,120,306,426,732,729,300,39,456,773,39,729,429,426,120,129,276,627,234,75,249,504,225,171,117,288,405,693,570,42,612,654,468,303,228,450,123,573,696,561,699,486,537,426,315,741,534,12,546,558,447,237,27,264,291,555,267,468,690,138,663,360,57,417,474,222,189,561,507,669,69,735,606,597,345,603,357,189,714,6,720,726,132,381,48,477,6,483,489,114,315,516,288,60,348,408,756,765,366,309,681,441,201,642,9,678,540,402,270,546,327,696,201,105,192,15,321,78,666,534,615,30,645,675,672,21,471,741,12,192,51,396,765],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,1434,1286,969,952,0,630,0,0,0,1225,128,692,2112,434,686,0,0,0,0,788,1397,557,0,0,2109,878,1253,386,1761,1646,0,771,0,806,1175,1745,262,1582,569,0,814,0,408,425,1602,744,0,568,767,0,821,1436,632,0,2634,53,248,815,1130,1845,1715,0,1183,1917,1500,1075,787,2562,3257,716,0,0,276,1602,1219,3095,509,1983,227,980,458,0,0,0,699,0,1052,1327,200,1980,1728,1195,1333,161,896,368,656,0,0,0,0,1610,578,680,3592,425,749,0,0,2661,1763,406,521,2483,2619,0,0,0,2541,776,347,653,0,0,0,0,800,1451,644,0,812,1349,497,0,0,0,0,393,539,698,0,0,0,0,0,0,1586,548,2639,1494,1195,2287,0,1100,1527,913,986,722,236,1327,1884,326,3336,1034,937,552,635,0,0,303,2620,1187,2180,992,1183,1003,600,704,0,902,410,753,0,856,0,1019,1401,1292,1026,2066,0,0,2694,2955,0,1345,257,2387,1343,0,0,240,2753,1410,1006,0,726,0,892,0,495,572,0,0,0,2169,908,1373,581,0,0,2853,452,695,0,0,0,0,905,692,1353,651,752,0,768,0,881,729,761,0,3428,0,0,794,768,0,0,773,1544,770,0,2969,629,0,2409,717,0,0,0,2432,614,1341,645,743,0,666,0,364,521,4308,2027,3348,680,0,0,0,759,0,953,548,2727,0,0,2943,572,0,0,204,1863,764,365,713,0,0,0,1117,1950,290,2268,1548,920,720,767,0,3527,0,796,0,929,392,735,0,622,0,0,0,1003,1183,2195,962,943,836,1247,356,1573,497,0,0,0,937,817,845,1328,482,746,0,0,0,546,761,0,315,1731,1689,1057,573,650,0,670,0,986,961,612,731,0,405,485,3654,1265,476,671,764,0,0,0,0,0,348,449,1979,706,0,0,2835,455,707,0,0,0,0,729,0,812,1229,317,1446,946,0,426,467,4155,2439,2723,380,614,5161,1277,494,719,0,0,0,0,570,0,0,0,961,865,1001,1334,0,0,0,1057,2314,0,537,662,0,0,534,0,0,0,447,563,0,0,0,0,2442,1219,1381,221,1519,470,0,0,0,2415,877,2457,1075,1327,173,1841,0,1165,1755,1505,0,2424,714,0,0,0,2204,1154,1814,604,0,0,0,887,344,516,545,0,0,0,0,765,0,1082,1510,533,0,0,782,1451,635,0,2523,548,1740,710,278,2716,3048,1859,418,530,3713,0,615,0,0,0,1219,122,614,1887,44,248,824,1169,2468,1550],"interval_residues":[4,26,178,661,513,196,179,0,630,0,0,0,452,128,692,566,434,686,0,0,0,0,15,624,557,0,0,563,105,480,386,215,100,0,771,0,33,402,199,262,36,569,0,41,0,408,425,56,744,0,568,767,0,48,663,632,0,315,53,248,42,357,299,169,0,410,371,727,302,14,243,165,716,0,0,276,56,446,3,509,437,227,207,458,0,0,0,699,0,279,554,200,434,182,422,560,161,123,368,656,0,0,0,0,64,578,680,500,425,749,0,0,342,217,406,521,164,300,0,0,0,222,3,347,653,0,0,0,0,27,678,644,0,39,576,497,0,0,0,0,393,539,698,0,0,0,0,0,0,40,548,320,721,422,741,0,327,754,140,213,722,236,554,338,326,244,261,164,552,635,0,0,303,301,414,634,219,410,230,600,704,0,129,410,753,0,83,0,246,628,519,253,520,0,0,375,636,0,572,257,68,570,0,0,240,434,637,233,0,726,0,119,0,495,572,0,0,0,623,135,600,581,0,0,534,452,695,0,0,0,0,132,692,580,651,752,0,768,0,108,729,761,0,336,0,0,21,768,0,0,0,771,770,0,650,629,0,90,717,0,0,0,113,614,568,645,743,0,666,0,364,521,443,481,256,680,0,0,0,759,0,180,548,408,0,0,624,572,0,0,204,317,764,365,713,0,0,0,344,404,290,722,2,147,720,767,0,435,0,23,0,156,392,735,0,622,0,0,0,230,410,649,189,170,63,474,356,27,497,0,0,0,164,44,72,555,482,746,0,0,0,546,761,0,315,185,143,284,573,650,0,670,0,213,188,612,731,0,405,485,562,492,476,671,764,0,0,0,0,0,348,449,433,706,0,0,516,455,707,0,0,0,0,729,0,39,456,317,673,173,0,426,467,290,120,404,380,614,523,504,494,719,0,0,0,0,570,0,0,0,188,92,228,561,0,0,0,284,768,0,537,662,0,0,534,0,0,0,447,563,0,0,0,0,123,446,608,221,746,470,0,0,0,96,104,138,302,554,173,295,0,392,209,732,0,105,714,0,0,0,658,381,268,604,0,0,0,114,344,516,545,0,0,0,0,765,0,309,737,533,0,0,9,678,635,0,204,548,194,710,278,397,729,313,418,530,621,0,615,0,0,0,446,122,614,341,44,248,51,396,149,4],"display_cycle":[4,26,178,661,513,196,179,773,630,773,773,773,452,128,692,566,434,686,773,773,773,773,15,624,557,773,773,563,105,480,386,215,100,773,771,773,33,402,199,262,36,569,773,41,773,408,425,56,744,773,568,767,773,48,663,632,773,315,53,248,42,357,299,169,773,410,371,727,302,14,243,165,716,773,773,276,56,446,3,509,437,227,207,458,773,773,773,699,773,279,554,200,434,182,422,560,161,123,368,656,773,773,773,773,64,578,680,500,425,749,773,773,342,217,406,521,164,300,773,773,773,222,3,347,653,773,773,773,773,27,678,644,773,39,576,497,773,773,773,773,393,539,698,773,773,773,773,773,773,40,548,320,721,422,741,773,327,754,140,213,722,236,554,338,326,244,261,164,552,635,773,773,303,301,414,634,219,410,230,600,704,773,129,410,753,773,83,773,246,628,519,253,520,773,773,375,636,773,572,257,68,570,773,773,240,434,637,233,773,726,773,119,773,495,572,773,773,773,623,135,600,581,773,773,534,452,695,773,773,773,773,132,692,580,651,752,773,768,773,108,729,761,773,336,773,773,21,768,773,773,773,771,770,773,650,629,773,90,717,773,773,773,113,614,568,645,743,773,666,773,364,521,443,481,256,680,773,773,773,759,773,180,548,408,773,773,624,572,773,773,204,317,764,365,713,773,773,773,344,404,290,722,2,147,720,767,773,435,773,23,773,156,392,735,773,622,773,773,773,230,410,649,189,170,63,474,356,27,497,773,773,773,164,44,72,555,482,746,773,773,773,546,761,773,315,185,143,284,573,650,773,670,773,213,188,612,731,773,405,485,562,492,476,671,764,773,773,773,773,773,348,449,433,706,773,773,516,455,707,773,773,773,773,729,773,39,456,317,673,173,773,426,467,290,120,404,380,614,523,504,494,719,773,773,773,773,570,773,773,773,188,92,228,561,773,773,773,284,768,773,537,662,773,773,534,773,773,773,447,563,773,773,773,773,123,446,608,221,746,470,773,773,773,96,104,138,302,554,173,295,773,392,209,732,773,105,714,773,773,773,658,381,268,604,773,773,773,114,344,516,545,773,773,773,773,765,773,309,737,533,773,773,9,678,635,773,204,548,194,710,278,397,729,313,418,530,621,773,615,773,773,773,446,122,614,341,44,248,51,396,149,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":17,"interior_indices":[13,14,15,16],"interior_values":[233,377,610,214],"sum":1434,"residue":661},{"from_index":17,"to_index":22,"interior_indices":[18,19,20,21],"interior_values":[265,316,581,124],"sum":1286,"residue":513},{"from_index":22,"to_index":28,"interior_indices":[23,24,25,26,27],"interior_values":[56,761,44,32,76],"sum":969,"residue":196},{"from_index":28,"to_index":32,"interior_indices":[29,30,31],"interior_values":[184,292,476],"sum":952,"residue":179},{"from_index":32,"to_index":33,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":33,"to_index":36,"interior_indices":[34,35],"interior_values":[466,164],"sum":630,"residue":630},{"from_index":36,"to_index":37,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":37,"to_index":38,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":38,"to_index":39,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":39,"to_index":43,"interior_indices":[40,41,42],"interior_values":[550,449,226],"sum":1225,"residue":452},{"from_index":43,"to_index":45,"interior_indices":[44],"interior_values":[128],"sum":128,"residue":128},{"from_index":45,"to_index":49,"interior_indices":[46,47,48],"interior_values":[158,188,346],"sum":692,"residue":692},{"from_index":49,"to_index":54,"interior_indices":[50,51,52,53],"interior_values":[107,641,748,616],"sum":2112,"residue":566},{"from_index":54,"to_index":56,"interior_indices":[55],"interior_values":[434],"sum":434,"residue":434},{"from_index":56,"to_index":58,"interior_indices":[57],"interior_values":[686],"sum":686,"residue":686},{"from_index":58,"to_index":59,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":59,"to_index":60,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":60,"to_index":61,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":61,"to_index":62,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":62,"to_index":65,"interior_indices":[63,64],"interior_values":[112,676],"sum":788,"residue":15},{"from_index":65,"to_index":68,"interior_indices":[66,67],"interior_values":[691,706],"sum":1397,"residue":624},{"from_index":68,"to_index":70,"interior_indices":[69],"interior_values":[557],"sum":557,"residue":557},{"from_index":70,"to_index":71,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":71,"to_index":72,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":72,"to_index":78,"interior_indices":[73,74,75,76,77],"interior_values":[19,619,638,484,349],"sum":2109,"residue":563},{"from_index":78,"to_index":81,"interior_indices":[79,80],"interior_values":[409,469],"sum":878,"residue":105},{"from_index":81,"to_index":84,"interior_indices":[82,83],"interior_values":[574,679],"sum":1253,"residue":480},{"from_index":84,"to_index":86,"interior_indices":[85],"interior_values":[386],"sum":386,"residue":386},{"from_index":86,"to_index":92,"interior_indices":[87,88,89,90,91],"interior_values":[479,572,278,77,355],"sum":1761,"residue":215},{"from_index":92,"to_index":98,"interior_indices":[93,94,95,96,97],"interior_values":[14,446,460,133,593],"sum":1646,"residue":100},{"from_index":98,"to_index":99,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":99,"to_index":102,"interior_indices":[100,101],"interior_values":[499,272],"sum":771,"residue":771},{"from_index":102,"to_index":103,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":103,"to_index":106,"interior_indices":[104,105],"interior_values":[268,538],"sum":806,"residue":33},{"from_index":106,"to_index":109,"interior_indices":[107,108],"interior_values":[571,604],"sum":1175,"residue":402},{"from_index":109,"to_index":115,"interior_indices":[110,111,112,113,114],"interior_values":[233,635,95,730,52],"sum":1745,"residue":199},{"from_index":115,"to_index":119,"interior_indices":[116,117,118],"interior_values":[61,70,131],"sum":262,"residue":262},{"from_index":119,"to_index":124,"interior_indices":[120,121,122,123],"interior_values":[332,533,92,625],"sum":1582,"residue":36},{"from_index":124,"to_index":126,"interior_indices":[125],"interior_values":[569],"sum":569,"residue":569},{"from_index":126,"to_index":127,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":127,"to_index":131,"interior_indices":[128,129,130],"interior_values":[49,358,407],"sum":814,"residue":41},{"from_index":131,"to_index":132,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":132,"to_index":135,"interior_indices":[133,134],"interior_values":[391,17],"sum":408,"residue":408},{"from_index":135,"to_index":137,"interior_indices":[136],"interior_values":[425],"sum":425,"residue":425},{"from_index":137,"to_index":143,"interior_indices":[138,139,140,141,142],"interior_values":[485,545,257,29,286],"sum":1602,"residue":56},{"from_index":143,"to_index":146,"interior_indices":[144,145],"interior_values":[601,143],"sum":744,"residue":744},{"from_index":146,"to_index":147,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":147,"to_index":151,"interior_indices":[148,149,150],"interior_values":[85,199,284],"sum":568,"residue":568},{"from_index":151,"to_index":153,"interior_indices":[152],"interior_values":[767],"sum":767,"residue":767},{"from_index":153,"to_index":154,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":154,"to_index":157,"interior_indices":[155,156],"interior_values":[175,646],"sum":821,"residue":48},{"from_index":157,"to_index":160,"interior_indices":[158,159],"interior_values":[694,742],"sum":1436,"residue":663},{"from_index":160,"to_index":162,"interior_indices":[161],"interior_values":[632],"sum":632,"residue":632},{"from_index":162,"to_index":163,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":163,"to_index":171,"interior_indices":[164,165,166,167,168,169,170],"interior_values":[130,511,641,379,247,626,100],"sum":2634,"residue":315},{"from_index":171,"to_index":173,"interior_indices":[172],"interior_values":[53],"sum":53,"residue":53},{"from_index":173,"to_index":177,"interior_indices":[174,175,176],"interior_values":[59,65,124],"sum":248,"residue":248},{"from_index":177,"to_index":180,"interior_indices":[178,179],"interior_values":[313,502],"sum":815,"residue":42},{"from_index":180,"to_index":183,"interior_indices":[181,182],"interior_values":[544,586],"sum":1130,"residue":357},{"from_index":183,"to_index":188,"interior_indices":[184,185,186,187],"interior_values":[170,527,697,451],"sum":1845,"residue":299},{"from_index":188,"to_index":194,"interior_indices":[189,190,191,192,193],"interior_values":[53,428,481,136,617],"sum":1715,"residue":169},{"from_index":194,"to_index":195,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":195,"to_index":199,"interior_indices":[196,197,198],"interior_values":[577,401,205],"sum":1183,"residue":410},{"from_index":199,"to_index":204,"interior_indices":[200,201,202,203],"interior_values":[38,644,682,553],"sum":1917,"residue":371},{"from_index":204,"to_index":210,"interior_indices":[205,206,207,208,209],"interior_values":[242,704,173,104,277],"sum":1500,"residue":727},{"from_index":210,"to_index":214,"interior_indices":[211,212,213],"interior_values":[658,266,151],"sum":1075,"residue":302},{"from_index":214,"to_index":218,"interior_indices":[215,216,217],"interior_values":[568,212,7],"sum":787,"residue":14},{"from_index":218,"to_index":226,"interior_indices":[219,220,221,222,223,224,225],"interior_values":[226,445,671,343,241,584,52],"sum":2562,"residue":243},{"from_index":226,"to_index":235,"interior_indices":[227,228,229,230,231,232,233,234],"interior_values":[688,551,466,244,710,181,118,299],"sum":3257,"residue":165},{"from_index":235,"to_index":237,"interior_indices":[236],"interior_values":[716],"sum":716,"residue":716},{"from_index":237,"to_index":238,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":238,"to_index":239,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":239,"to_index":242,"interior_indices":[240,241],"interior_values":[193,83],"sum":276,"residue":276},{"from_index":242,"to_index":248,"interior_indices":[243,244,245,246,247],"interior_values":[359,635,221,83,304],"sum":1602,"residue":56},{"from_index":248,"to_index":252,"interior_indices":[249,250,251],"interior_values":[691,305,223],"sum":1219,"residue":446},{"from_index":252,"to_index":261,"interior_indices":[253,254,255,256,257,258,259,260],"interior_values":[751,506,484,217,701,145,73,218],"sum":3095,"residue":3},{"from_index":261,"to_index":263,"interior_indices":[262],"interior_values":[509],"sum":509,"residue":509},{"from_index":263,"to_index":269,"interior_indices":[264,265,266,267,268],"interior_values":[536,563,326,116,442],"sum":1983,"residue":437},{"from_index":269,"to_index":271,"interior_indices":[270],"interior_values":[227],"sum":227,"residue":227},{"from_index":271,"to_index":275,"interior_indices":[272,273,274],"interior_values":[239,251,490],"sum":980,"residue":207},{"from_index":275,"to_index":277,"interior_indices":[276],"interior_values":[458],"sum":458,"residue":458},{"from_index":277,"to_index":278,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":278,"to_index":279,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":279,"to_index":280,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":280,"to_index":283,"interior_indices":[281,282],"interior_values":[412,287],"sum":699,"residue":699},{"from_index":283,"to_index":284,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":284,"to_index":289,"interior_indices":[285,286,287,288],"interior_values":[139,352,491,70],"sum":1052,"residue":279},{"from_index":289,"to_index":293,"interior_indices":[290,291,292],"interior_values":[631,419,277],"sum":1327,"residue":554},{"from_index":293,"to_index":295,"interior_indices":[294],"interior_values":[200],"sum":200,"residue":200},{"from_index":295,"to_index":300,"interior_indices":[296,297,298,299],"interior_values":[323,446,769,442],"sum":1980,"residue":434},{"from_index":300,"to_index":305,"interior_indices":[301,302,303,304],"interior_values":[107,545,652,424],"sum":1728,"residue":182},{"from_index":305,"to_index":309,"interior_indices":[306,307,308],"interior_values":[727,257,211],"sum":1195,"residue":422},{"from_index":309,"to_index":313,"interior_indices":[310,311,312],"interior_values":[679,374,280],"sum":1333,"residue":560},{"from_index":313,"to_index":315,"interior_indices":[314],"interior_values":[161],"sum":161,"residue":161},{"from_index":315,"to_index":319,"interior_indices":[316,317,318],"interior_values":[203,245,448],"sum":896,"residue":123},{"from_index":319,"to_index":321,"interior_indices":[320],"interior_values":[368],"sum":368,"residue":368},{"from_index":321,"to_index":323,"interior_indices":[322],"interior_values":[656],"sum":656,"residue":656},{"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":326,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":326,"to_index":327,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":327,"to_index":334,"interior_indices":[328,329,330,331,332,333],"interior_values":[10,514,524,265,16,281],"sum":1610,"residue":64},{"from_index":334,"to_index":336,"interior_indices":[335],"interior_values":[578],"sum":578,"residue":578},{"from_index":336,"to_index":338,"interior_indices":[337],"interior_values":[680],"sum":680,"residue":680},{"from_index":338,"to_index":346,"interior_indices":[339,340,341,342,343,344,345],"interior_values":[689,698,614,539,380,146,526],"sum":3592,"residue":500},{"from_index":346,"to_index":348,"interior_indices":[347],"interior_values":[425],"sum":425,"residue":425},{"from_index":348,"to_index":350,"interior_indices":[349],"interior_values":[749],"sum":749,"residue":749},{"from_index":350,"to_index":351,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":351,"to_index":352,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":352,"to_index":358,"interior_indices":[353,354,355,356,357],"interior_values":[79,655,734,616,577],"sum":2661,"residue":342},{"from_index":358,"to_index":364,"interior_indices":[359,360,361,362,363],"interior_values":[224,644,95,739,61],"sum":1763,"residue":217},{"from_index":364,"to_index":368,"interior_indices":[365,366,367],"interior_values":[88,115,203],"sum":406,"residue":406},{"from_index":368,"to_index":370,"interior_indices":[369],"interior_values":[521],"sum":521,"residue":521},{"from_index":370,"to_index":377,"interior_indices":[371,372,373,374,375,376],"interior_values":[587,653,467,347,41,388],"sum":2483,"residue":164},{"from_index":377,"to_index":386,"interior_indices":[378,379,380,381,382,383,384,385],"interior_values":[44,473,517,217,734,178,139,317],"sum":2619,"residue":300},{"from_index":386,"to_index":387,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":387,"to_index":388,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":388,"to_index":389,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":389,"to_index":395,"interior_indices":[390,391,392,393,394],"interior_values":[139,595,734,556,517],"sum":2541,"residue":222},{"from_index":395,"to_index":399,"interior_indices":[396,397,398],"interior_values":[44,344,388],"sum":776,"residue":3},{"from_index":399,"to_index":401,"interior_indices":[400],"interior_values":[347],"sum":347,"residue":347},{"from_index":401,"to_index":403,"interior_indices":[402],"interior_values":[653],"sum":653,"residue":653},{"from_index":403,"to_index":404,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":404,"to_index":405,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":405,"to_index":406,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":406,"to_index":407,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":407,"to_index":410,"interior_indices":[408,409],"interior_values":[115,685],"sum":800,"residue":27},{"from_index":410,"to_index":413,"interior_indices":[411,412],"interior_values":[712,739],"sum":1451,"residue":678},{"from_index":413,"to_index":415,"interior_indices":[414],"interior_values":[644],"sum":644,"residue":644},{"from_index":415,"to_index":416,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":416,"to_index":419,"interior_indices":[417,418],"interior_values":[196,616],"sum":812,"residue":39},{"from_index":419,"to_index":422,"interior_indices":[420,421],"interior_values":[655,694],"sum":1349,"residue":576},{"from_index":422,"to_index":424,"interior_indices":[423],"interior_values":[497],"sum":497,"residue":497},{"from_index":424,"to_index":425,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":425,"to_index":426,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":426,"to_index":427,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":427,"to_index":428,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":428,"to_index":431,"interior_indices":[429,430],"interior_values":[247,146],"sum":393,"residue":393},{"from_index":431,"to_index":433,"interior_indices":[432],"interior_values":[539],"sum":539,"residue":539},{"from_index":433,"to_index":435,"interior_indices":[434],"interior_values":[698],"sum":698,"residue":698},{"from_index":435,"to_index":436,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":436,"to_index":437,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":437,"to_index":438,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":438,"to_index":439,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":439,"to_index":440,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":440,"to_index":441,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":441,"to_index":448,"interior_indices":[442,443,444,445,446,447],"interior_values":[16,508,524,259,10,269],"sum":1586,"residue":40},{"from_index":448,"to_index":450,"interior_indices":[449],"interior_values":[548],"sum":548,"residue":548},{"from_index":450,"to_index":457,"interior_indices":[451,452,453,454,455,456],"interior_values":[602,656,485,368,80,448],"sum":2639,"residue":320},{"from_index":457,"to_index":463,"interior_indices":[458,459,460,461,462],"interior_values":[203,731,161,119,280],"sum":1494,"residue":721},{"from_index":463,"to_index":467,"interior_indices":[464,465,466],"interior_values":[679,305,211],"sum":1195,"residue":422},{"from_index":467,"to_index":473,"interior_indices":[468,469,470,471,472],"interior_values":[727,470,424,121,545],"sum":2287,"residue":741},{"from_index":473,"to_index":474,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":474,"to_index":477,"interior_indices":[475,476],"interior_values":[331,769],"sum":1100,"residue":327},{"from_index":477,"to_index":483,"interior_indices":[478,479,480,481,482],"interior_values":[323,650,200,77,277],"sum":1527,"residue":754},{"from_index":483,"to_index":487,"interior_indices":[484,485,486],"interior_values":[631,212,70],"sum":913,"residue":140},{"from_index":487,"to_index":490,"interior_indices":[488,489],"interior_values":[352,634],"sum":986,"residue":213},{"from_index":490,"to_index":494,"interior_indices":[491,492,493],"interior_values":[74,287,361],"sum":722,"residue":722},{"from_index":494,"to_index":496,"interior_indices":[495],"interior_values":[236],"sum":236,"residue":236},{"from_index":496,"to_index":501,"interior_indices":[497,498,499,500],"interior_values":[347,458,32,490],"sum":1327,"residue":554},{"from_index":501,"to_index":507,"interior_indices":[502,503,504,505,506],"interior_values":[239,761,227,215,442],"sum":1884,"residue":338},{"from_index":507,"to_index":509,"interior_indices":[508],"interior_values":[326],"sum":326,"residue":326},{"from_index":509,"to_index":517,"interior_indices":[510,511,512,513,514,515,516],"interior_values":[536,746,509,482,218,700,145],"sum":3336,"residue":244},{"from_index":517,"to_index":522,"interior_indices":[518,519,520,521],"interior_values":[217,289,506,22],"sum":1034,"residue":261},{"from_index":522,"to_index":526,"interior_indices":[523,524,525],"interior_values":[550,305,82],"sum":937,"residue":164},{"from_index":526,"to_index":529,"interior_indices":[527,528],"interior_values":[469,83],"sum":552,"residue":552},{"from_index":529,"to_index":531,"interior_indices":[530],"interior_values":[635],"sum":635,"residue":635},{"from_index":531,"to_index":532,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":532,"to_index":533,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":533,"to_index":536,"interior_indices":[534,535],"interior_values":[193,110],"sum":303,"residue":303},{"from_index":536,"to_index":543,"interior_indices":[537,538,539,540,541,542],"interior_values":[413,716,356,299,655,181],"sum":2620,"residue":301},{"from_index":543,"to_index":548,"interior_indices":[544,545,546,547],"interior_values":[244,307,551,85],"sum":1187,"residue":414},{"from_index":548,"to_index":553,"interior_indices":[549,550,551,552],"interior_values":[721,584,532,343],"sum":2180,"residue":634},{"from_index":553,"to_index":556,"interior_indices":[554,555],"interior_values":[445,547],"sum":992,"residue":219},{"from_index":556,"to_index":560,"interior_indices":[557,558,559],"interior_values":[766,212,205],"sum":1183,"residue":410},{"from_index":560,"to_index":564,"interior_indices":[561,562,563],"interior_values":[622,266,115],"sum":1003,"residue":230},{"from_index":564,"to_index":567,"interior_indices":[565,566],"interior_values":[496,104],"sum":600,"residue":600},{"from_index":567,"to_index":569,"interior_indices":[568],"interior_values":[704],"sum":704,"residue":704},{"from_index":569,"to_index":570,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":570,"to_index":573,"interior_indices":[571,572],"interior_values":[220,682],"sum":902,"residue":129},{"from_index":573,"to_index":577,"interior_indices":[574,575,576],"interior_values":[38,167,205],"sum":410,"residue":410},{"from_index":577,"to_index":580,"interior_indices":[578,579],"interior_values":[577,176],"sum":753,"residue":753},{"from_index":580,"to_index":581,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":581,"to_index":585,"interior_indices":[582,583,584],"interior_values":[136,292,428],"sum":856,"residue":83},{"from_index":585,"to_index":586,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":586,"to_index":589,"interior_indices":[587,588],"interior_values":[322,697],"sum":1019,"residue":246},{"from_index":589,"to_index":594,"interior_indices":[590,591,592,593],"interior_values":[170,416,586,229],"sum":1401,"residue":628},{"from_index":594,"to_index":599,"interior_indices":[595,596,597,598],"interior_values":[271,313,584,124],"sum":1292,"residue":519},{"from_index":599,"to_index":605,"interior_indices":[600,601,602,603,604],"interior_values":[59,767,53,47,100],"sum":1026,"residue":253},{"from_index":605,"to_index":612,"interior_indices":[606,607,608,609,610,611],"interior_values":[247,394,641,262,130,392],"sum":2066,"residue":520},{"from_index":612,"to_index":613,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":613,"to_index":614,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":614,"to_index":620,"interior_indices":[615,616,617,618,619],"interior_values":[31,694,725,646,598],"sum":2694,"residue":375},{"from_index":620,"to_index":628,"interior_indices":[621,622,623,624,625,626,627],"interior_values":[296,767,290,284,574,85,659],"sum":2955,"residue":636},{"from_index":628,"to_index":629,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":629,"to_index":633,"interior_indices":[630,631,632],"interior_values":[601,458,286],"sum":1345,"residue":572},{"from_index":633,"to_index":635,"interior_indices":[634],"interior_values":[257],"sum":257,"residue":257},{"from_index":635,"to_index":642,"interior_indices":[636,637,638,639,640,641],"interior_values":[485,713,425,365,17,382],"sum":2387,"residue":68},{"from_index":642,"to_index":648,"interior_indices":[643,644,645,646,647],"interior_values":[8,407,415,49,464],"sum":1343,"residue":570},{"from_index":648,"to_index":649,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":649,"to_index":650,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":650,"to_index":653,"interior_indices":[651,652],"interior_values":[148,92],"sum":240,"residue":240},{"from_index":653,"to_index":663,"interior_indices":[654,655,656,657,658,659,660,661,662],"interior_values":[332,572,131,703,61,764,52,43,95],"sum":2753,"residue":434},{"from_index":663,"to_index":668,"interior_indices":[664,665,666,667],"interior_values":[233,371,604,202],"sum":1410,"residue":637},{"from_index":668,"to_index":672,"interior_indices":[669,670,671],"interior_values":[235,268,503],"sum":1006,"residue":233},{"from_index":672,"to_index":673,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":673,"to_index":676,"interior_indices":[674,675],"interior_values":[499,227],"sum":726,"residue":726},{"from_index":676,"to_index":677,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":677,"to_index":681,"interior_indices":[678,679,680],"interior_values":[133,313,446],"sum":892,"residue":119},{"from_index":681,"to_index":682,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":682,"to_index":685,"interior_indices":[683,684],"interior_values":[418,77],"sum":495,"residue":495},{"from_index":685,"to_index":687,"interior_indices":[686],"interior_values":[572],"sum":572,"residue":572},{"from_index":687,"to_index":688,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":688,"to_index":689,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":689,"to_index":690,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":690,"to_index":696,"interior_indices":[691,692,693,694,695],"interior_values":[94,574,668,469,364],"sum":2169,"residue":623},{"from_index":696,"to_index":699,"interior_indices":[697,698],"interior_values":[424,484],"sum":908,"residue":135},{"from_index":699,"to_index":702,"interior_indices":[700,701],"interior_values":[619,754],"sum":1373,"residue":600},{"from_index":702,"to_index":704,"interior_indices":[703],"interior_values":[581],"sum":581,"residue":581},{"from_index":704,"to_index":705,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":705,"to_index":706,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":706,"to_index":712,"interior_indices":[707,708,709,710,711],"interior_values":[67,691,758,676,661],"sum":2853,"residue":534},{"from_index":712,"to_index":714,"interior_indices":[713],"interior_values":[452],"sum":452,"residue":452},{"from_index":714,"to_index":716,"interior_indices":[715],"interior_values":[695],"sum":695,"residue":695},{"from_index":716,"to_index":717,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":717,"to_index":718,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":718,"to_index":719,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":719,"to_index":720,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":720,"to_index":723,"interior_indices":[721,722],"interior_values":[157,748],"sum":905,"residue":132},{"from_index":723,"to_index":727,"interior_indices":[724,725,726],"interior_values":[107,239,346],"sum":692,"residue":692},{"from_index":727,"to_index":733,"interior_indices":[728,729,730,731,732],"interior_values":[158,743,128,98,226],"sum":1353,"residue":580},{"from_index":733,"to_index":736,"interior_indices":[734,735],"interior_values":[550,101],"sum":651,"residue":651},{"from_index":736,"to_index":738,"interior_indices":[737],"interior_values":[752],"sum":752,"residue":752},{"from_index":738,"to_index":739,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":739,"to_index":742,"interior_indices":[740,741],"interior_values":[466,302],"sum":768,"residue":768},{"from_index":742,"to_index":743,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":743,"to_index":746,"interior_indices":[744,745],"interior_values":[292,589],"sum":881,"residue":108},{"from_index":746,"to_index":749,"interior_indices":[747,748],"interior_values":[697,32],"sum":729,"residue":729},{"from_index":749,"to_index":751,"interior_indices":[750],"interior_values":[761],"sum":761,"residue":761},{"from_index":751,"to_index":752,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":752,"to_index":761,"interior_indices":[753,754,755,756,757,758,759,760],"interior_values":[649,581,457,265,722,214,163,377],"sum":3428,"residue":336},{"from_index":761,"to_index":762,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":762,"to_index":763,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":763,"to_index":766,"interior_indices":[764,765],"interior_values":[55,739],"sum":794,"residue":21},{"from_index":766,"to_index":769,"interior_indices":[767,768],"interior_values":[760,8],"sum":768,"residue":768},{"from_index":769,"to_index":770,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":770,"to_index":771,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":771,"to_index":774,"interior_indices":[772,773],"interior_values":[1,772],"sum":773,"residue":0},{"from_index":774,"to_index":777,"interior_indices":[775,776],"interior_values":[772,772],"sum":1544,"residue":771},{"from_index":777,"to_index":779,"interior_indices":[778],"interior_values":[770],"sum":770,"residue":770},{"from_index":779,"to_index":780,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":780,"to_index":785,"interior_indices":[781,782,783,784],"interior_values":[760,752,739,718],"sum":2969,"residue":650},{"from_index":785,"to_index":787,"interior_indices":[786],"interior_values":[629],"sum":629,"residue":629},{"from_index":787,"to_index":788,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":788,"to_index":794,"interior_indices":[789,790,791,792,793],"interior_values":[163,559,722,508,457],"sum":2409,"residue":90},{"from_index":794,"to_index":797,"interior_indices":[795,796],"interior_values":[649,68],"sum":717,"residue":717},{"from_index":797,"to_index":798,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":798,"to_index":799,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":799,"to_index":800,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":800,"to_index":805,"interior_indices":[801,802,803,804],"interior_values":[697,665,589,481],"sum":2432,"residue":113},{"from_index":805,"to_index":809,"interior_indices":[806,807,808],"interior_values":[5,302,307],"sum":614,"residue":614},{"from_index":809,"to_index":815,"interior_indices":[810,811,812,813,814],"interior_values":[143,752,122,101,223],"sum":1341,"residue":568},{"from_index":815,"to_index":818,"interior_indices":[816,817],"interior_values":[547,98],"sum":645,"residue":645},{"from_index":818,"to_index":820,"interior_indices":[819],"interior_values":[743],"sum":743,"residue":743},{"from_index":820,"to_index":821,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":821,"to_index":824,"interior_indices":[822,823],"interior_values":[427,239],"sum":666,"residue":666},{"from_index":824,"to_index":825,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":825,"to_index":829,"interior_indices":[826,827,828],"interior_values":[25,157,182],"sum":364,"residue":364},{"from_index":829,"to_index":831,"interior_indices":[830],"interior_values":[521],"sum":521,"residue":521},{"from_index":831,"to_index":843,"interior_indices":[832,833,834,835,836,837,838,839,840,841,842],"interior_values":[608,695,530,452,209,661,97,758,82,67,149],"sum":4308,"residue":443},{"from_index":843,"to_index":849,"interior_indices":[844,845,846,847,848],"interior_values":[365,581,173,754,154],"sum":2027,"residue":481},{"from_index":849,"to_index":859,"interior_indices":[850,851,852,853,854,855,856,857,858],"interior_values":[289,424,713,364,304,668,199,94,293],"sum":3348,"residue":256},{"from_index":859,"to_index":861,"interior_indices":[860],"interior_values":[680],"sum":680,"residue":680},{"from_index":861,"to_index":862,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":862,"to_index":863,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":863,"to_index":864,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":864,"to_index":867,"interior_indices":[865,866],"interior_values":[418,341],"sum":759,"residue":759},{"from_index":867,"to_index":868,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":868,"to_index":871,"interior_indices":[869,870],"interior_values":[313,640],"sum":953,"residue":180},{"from_index":871,"to_index":875,"interior_indices":[872,873,874],"interior_values":[47,227,274],"sum":548,"residue":548},{"from_index":875,"to_index":884,"interior_indices":[876,877,878,879,880,881,882,883],"interior_values":[2,503,505,235,740,202,169,371],"sum":2727,"residue":408},{"from_index":884,"to_index":885,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":885,"to_index":886,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":886,"to_index":892,"interior_indices":[887,888,889,890,891],"interior_values":[43,721,764,712,703],"sum":2943,"residue":624},{"from_index":892,"to_index":894,"interior_indices":[893],"interior_values":[572],"sum":572,"residue":572},{"from_index":894,"to_index":895,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":895,"to_index":896,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":896,"to_index":899,"interior_indices":[897,898],"interior_values":[148,56],"sum":204,"residue":204},{"from_index":899,"to_index":904,"interior_indices":[900,901,902,903],"interior_values":[260,464,724,415],"sum":1863,"residue":317},{"from_index":904,"to_index":908,"interior_indices":[905,906,907],"interior_values":[8,374,382],"sum":764,"residue":764},{"from_index":908,"to_index":910,"interior_indices":[909],"interior_values":[365],"sum":365,"residue":365},{"from_index":910,"to_index":912,"interior_indices":[911],"interior_values":[713],"sum":713,"residue":713},{"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":915,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":915,"to_index":919,"interior_indices":[916,917,918],"interior_values":[487,458,172],"sum":1117,"residue":344},{"from_index":919,"to_index":924,"interior_indices":[920,921,922,923],"interior_values":[29,659,688,574],"sum":1950,"residue":404},{"from_index":924,"to_index":926,"interior_indices":[925],"interior_values":[290],"sum":290,"residue":290},{"from_index":926,"to_index":935,"interior_indices":[927,928,929,930,931,932,933,934],"interior_values":[296,302,598,127,725,79,31,110],"sum":2268,"residue":722},{"from_index":935,"to_index":940,"interior_indices":[936,937,938,939],"interior_values":[251,392,643,262],"sum":1548,"residue":2},{"from_index":940,"to_index":943,"interior_indices":[941,942],"interior_values":[394,526],"sum":920,"residue":147},{"from_index":943,"to_index":946,"interior_indices":[944,945],"interior_values":[673,47],"sum":720,"residue":720},{"from_index":946,"to_index":948,"interior_indices":[947],"interior_values":[767],"sum":767,"residue":767},{"from_index":948,"to_index":949,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":949,"to_index":958,"interior_indices":[950,951,952,953,954,955,956,957],"interior_values":[649,584,460,271,731,229,187,416],"sum":3527,"residue":435},{"from_index":958,"to_index":959,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":959,"to_index":963,"interior_indices":[960,961,962],"interior_values":[76,322,398],"sum":796,"residue":23},{"from_index":963,"to_index":964,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":964,"to_index":967,"interior_indices":[965,966],"interior_values":[292,637],"sum":929,"residue":156},{"from_index":967,"to_index":971,"interior_indices":[968,969,970],"interior_values":[20,176,196],"sum":392,"residue":392},{"from_index":971,"to_index":974,"interior_indices":[972,973],"interior_values":[568,167],"sum":735,"residue":735},{"from_index":974,"to_index":975,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":975,"to_index":979,"interior_indices":[976,977,978],"interior_values":[91,220,311],"sum":622,"residue":622},{"from_index":979,"to_index":980,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":980,"to_index":981,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":981,"to_index":982,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":982,"to_index":986,"interior_indices":[983,984,985],"interior_values":[496,392,115],"sum":1003,"residue":230},{"from_index":986,"to_index":990,"interior_indices":[987,988,989],"interior_values":[622,356,205],"sum":1183,"residue":410},{"from_index":990,"to_index":995,"interior_indices":[991,992,993,994],"interior_values":[766,554,547,328],"sum":2195,"residue":649},{"from_index":995,"to_index":998,"interior_indices":[996,997],"interior_values":[430,532],"sum":962,"residue":189},{"from_index":998,"to_index":1002,"interior_indices":[999,1000,1001],"interior_values":[721,137,85],"sum":943,"residue":170},{"from_index":1002,"to_index":1005,"interior_indices":[1003,1004],"interior_values":[307,529],"sum":836,"residue":63},{"from_index":1005,"to_index":1008,"interior_indices":[1006,1007],"interior_values":[592,655],"sum":1247,"residue":474},{"from_index":1008,"to_index":1010,"interior_indices":[1009],"interior_values":[356],"sum":356,"residue":356},{"from_index":1010,"to_index":1015,"interior_indices":[1011,1012,1013,1014],"interior_values":[413,470,110,580],"sum":1573,"residue":27},{"from_index":1015,"to_index":1017,"interior_indices":[1016],"interior_values":[497],"sum":497,"residue":497},{"from_index":1017,"to_index":1018,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1018,"to_index":1019,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1019,"to_index":1020,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1020,"to_index":1024,"interior_indices":[1021,1022,1023],"interior_values":[469,386,82],"sum":937,"residue":164},{"from_index":1024,"to_index":1028,"interior_indices":[1025,1026,1027],"interior_values":[550,245,22],"sum":817,"residue":44},{"from_index":1028,"to_index":1031,"interior_indices":[1029,1030],"interior_values":[289,556],"sum":845,"residue":72},{"from_index":1031,"to_index":1034,"interior_indices":[1032,1033],"interior_values":[628,700],"sum":1328,"residue":555},{"from_index":1034,"to_index":1036,"interior_indices":[1035],"interior_values":[482],"sum":482,"residue":482},{"from_index":1036,"to_index":1038,"interior_indices":[1037],"interior_values":[746],"sum":746,"residue":746},{"from_index":1038,"to_index":1039,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1039,"to_index":1040,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1040,"to_index":1041,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1041,"to_index":1044,"interior_indices":[1042,1043],"interior_values":[331,215],"sum":546,"residue":546},{"from_index":1044,"to_index":1046,"interior_indices":[1045],"interior_values":[761],"sum":761,"residue":761},{"from_index":1046,"to_index":1047,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1047,"to_index":1050,"interior_indices":[1048,1049],"interior_values":[283,32],"sum":315,"residue":315},{"from_index":1050,"to_index":1056,"interior_indices":[1051,1052,1053,1054,1055],"interior_values":[347,662,236,125,361],"sum":1731,"residue":185},{"from_index":1056,"to_index":1061,"interior_indices":[1057,1058,1059,1060],"interior_values":[74,560,634,421],"sum":1689,"residue":143},{"from_index":1061,"to_index":1065,"interior_indices":[1062,1063,1064],"interior_values":[703,212,142],"sum":1057,"residue":284},{"from_index":1065,"to_index":1068,"interior_indices":[1066,1067],"interior_values":[496,77],"sum":573,"residue":573},{"from_index":1068,"to_index":1070,"interior_indices":[1069],"interior_values":[650],"sum":650,"residue":650},{"from_index":1070,"to_index":1071,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1071,"to_index":1075,"interior_indices":[1072,1073,1074],"interior_values":[4,331,335],"sum":670,"residue":670},{"from_index":1075,"to_index":1076,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1076,"to_index":1081,"interior_indices":[1077,1078,1079,1080],"interior_values":[121,349,470,46],"sum":986,"residue":213},{"from_index":1081,"to_index":1085,"interior_indices":[1082,1083,1084],"interior_values":[562,305,94],"sum":961,"residue":188},{"from_index":1085,"to_index":1088,"interior_indices":[1086,1087],"interior_values":[493,119],"sum":612,"residue":612},{"from_index":1088,"to_index":1090,"interior_indices":[1089],"interior_values":[731],"sum":731,"residue":731},{"from_index":1090,"to_index":1091,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1091,"to_index":1094,"interior_indices":[1092,1093],"interior_values":[325,80],"sum":405,"residue":405},{"from_index":1094,"to_index":1096,"interior_indices":[1095],"interior_values":[485],"sum":485,"residue":485},{"from_index":1096,"to_index":1104,"interior_indices":[1097,1098,1099,1100,1101,1102,1103],"interior_values":[602,719,548,494,269,763,259],"sum":3654,"residue":562},{"from_index":1104,"to_index":1107,"interior_indices":[1105,1106],"interior_values":[508,757],"sum":1265,"residue":492},{"from_index":1107,"to_index":1109,"interior_indices":[1108],"interior_values":[476],"sum":476,"residue":476},{"from_index":1109,"to_index":1111,"interior_indices":[1110],"interior_values":[671],"sum":671,"residue":671},{"from_index":1111,"to_index":1113,"interior_indices":[1112],"interior_values":[764],"sum":764,"residue":764},{"from_index":1113,"to_index":1114,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1114,"to_index":1115,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1115,"to_index":1116,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1116,"to_index":1117,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1117,"to_index":1118,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1118,"to_index":1121,"interior_indices":[1119,1120],"interior_values":[247,101],"sum":348,"residue":348},{"from_index":1121,"to_index":1123,"interior_indices":[1122],"interior_values":[449],"sum":449,"residue":449},{"from_index":1123,"to_index":1129,"interior_indices":[1124,1125,1126,1127,1128],"interior_values":[473,497,197,694,118],"sum":1979,"residue":433},{"from_index":1129,"to_index":1133,"interior_indices":[1130,1131,1132],"interior_values":[157,196,353],"sum":706,"residue":706},{"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":1141,"interior_indices":[1136,1137,1138,1139,1140],"interior_values":[34,712,746,685,658],"sum":2835,"residue":516},{"from_index":1141,"to_index":1143,"interior_indices":[1142],"interior_values":[455],"sum":455,"residue":455},{"from_index":1143,"to_index":1145,"interior_indices":[1144],"interior_values":[707],"sum":707,"residue":707},{"from_index":1145,"to_index":1146,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1146,"to_index":1147,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1147,"to_index":1148,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1148,"to_index":1149,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1149,"to_index":1152,"interior_indices":[1150,1151],"interior_values":[385,344],"sum":729,"residue":729},{"from_index":1152,"to_index":1153,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1153,"to_index":1156,"interior_indices":[1154,1155],"interior_values":[256,556],"sum":812,"residue":39},{"from_index":1156,"to_index":1159,"interior_indices":[1157,1158],"interior_values":[595,634],"sum":1229,"residue":456},{"from_index":1159,"to_index":1161,"interior_indices":[1160],"interior_values":[317],"sum":317,"residue":317},{"from_index":1161,"to_index":1166,"interior_indices":[1162,1163,1164,1165],"interior_values":[317,317,634,178],"sum":1446,"residue":673},{"from_index":1166,"to_index":1170,"interior_indices":[1167,1168,1169],"interior_values":[217,256,473],"sum":946,"residue":173},{"from_index":1170,"to_index":1171,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1171,"to_index":1174,"interior_indices":[1172,1173],"interior_values":[385,41],"sum":426,"residue":426},{"from_index":1174,"to_index":1176,"interior_indices":[1175],"interior_values":[467],"sum":467,"residue":467},{"from_index":1176,"to_index":1188,"interior_indices":[1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187],"interior_values":[587,707,521,455,203,658,88,746,61,34,95],"sum":4155,"residue":290},{"from_index":1188,"to_index":1197,"interior_indices":[1189,1190,1191,1192,1193,1194,1195,1196],"interior_values":[224,353,577,157,734,118,79,197],"sum":2439,"residue":120},{"from_index":1197,"to_index":1204,"interior_indices":[1198,1199,1200,1201,1202,1203],"interior_values":[473,749,449,425,101,526],"sum":2723,"residue":404},{"from_index":1204,"to_index":1206,"interior_indices":[1205],"interior_values":[380],"sum":380,"residue":380},{"from_index":1206,"to_index":1208,"interior_indices":[1207],"interior_values":[614],"sum":614,"residue":614},{"from_index":1208,"to_index":1218,"interior_indices":[1209,1210,1211,1212,1213,1214,1215,1216,1217],"interior_values":[689,764,680,671,578,476,281,757,265],"sum":5161,"residue":523},{"from_index":1218,"to_index":1221,"interior_indices":[1219,1220],"interior_values":[514,763],"sum":1277,"residue":504},{"from_index":1221,"to_index":1223,"interior_indices":[1222],"interior_values":[494],"sum":494,"residue":494},{"from_index":1223,"to_index":1225,"interior_indices":[1224],"interior_values":[719],"sum":719,"residue":719},{"from_index":1225,"to_index":1226,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1226,"to_index":1227,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1227,"to_index":1228,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1228,"to_index":1229,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1229,"to_index":1232,"interior_indices":[1230,1231],"interior_values":[325,245],"sum":570,"residue":570},{"from_index":1232,"to_index":1233,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1233,"to_index":1234,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1234,"to_index":1235,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1235,"to_index":1239,"interior_indices":[1236,1237,1238],"interior_values":[493,374,94],"sum":961,"residue":188},{"from_index":1239,"to_index":1243,"interior_indices":[1240,1241,1242],"interior_values":[562,257,46],"sum":865,"residue":92},{"from_index":1243,"to_index":1246,"interior_indices":[1244,1245],"interior_values":[349,652],"sum":1001,"residue":228},{"from_index":1246,"to_index":1252,"interior_indices":[1247,1248,1249,1250,1251],"interior_values":[107,335,442,4,446],"sum":1334,"residue":561},{"from_index":1252,"to_index":1253,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1253,"to_index":1254,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1254,"to_index":1255,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1255,"to_index":1259,"interior_indices":[1256,1257,1258],"interior_values":[496,419,142],"sum":1057,"residue":284},{"from_index":1259,"to_index":1265,"interior_indices":[1260,1261,1262,1263,1264],"interior_values":[703,491,421,139,560],"sum":2314,"residue":768},{"from_index":1265,"to_index":1266,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1266,"to_index":1269,"interior_indices":[1267,1268],"interior_values":[412,125],"sum":537,"residue":537},{"from_index":1269,"to_index":1271,"interior_indices":[1270],"interior_values":[662],"sum":662,"residue":662},{"from_index":1271,"to_index":1272,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1272,"to_index":1273,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1273,"to_index":1276,"interior_indices":[1274,1275],"interior_values":[283,251],"sum":534,"residue":534},{"from_index":1276,"to_index":1277,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1277,"to_index":1278,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1278,"to_index":1279,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1279,"to_index":1282,"interior_indices":[1280,1281],"interior_values":[331,116],"sum":447,"residue":447},{"from_index":1282,"to_index":1284,"interior_indices":[1283],"interior_values":[563],"sum":563,"residue":563},{"from_index":1284,"to_index":1285,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1285,"to_index":1286,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1286,"to_index":1287,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1287,"to_index":1288,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1288,"to_index":1294,"interior_indices":[1289,1290,1291,1292,1293],"interior_values":[73,628,701,556,484],"sum":2442,"residue":123},{"from_index":1294,"to_index":1298,"interior_indices":[1295,1296,1297],"interior_values":[751,245,223],"sum":1219,"residue":446},{"from_index":1298,"to_index":1302,"interior_indices":[1299,1300,1301],"interior_values":[691,386,304],"sum":1381,"residue":608},{"from_index":1302,"to_index":1304,"interior_indices":[1303],"interior_values":[221],"sum":221,"residue":221},{"from_index":1304,"to_index":1309,"interior_indices":[1305,1306,1307,1308],"interior_values":[359,497,83,580],"sum":1519,"residue":746},{"from_index":1309,"to_index":1311,"interior_indices":[1310],"interior_values":[470],"sum":470,"residue":470},{"from_index":1311,"to_index":1312,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1312,"to_index":1313,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1313,"to_index":1314,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1314,"to_index":1320,"interior_indices":[1315,1316,1317,1318,1319],"interior_values":[118,592,710,529,466],"sum":2415,"residue":96},{"from_index":1320,"to_index":1324,"interior_indices":[1321,1322,1323],"interior_values":[688,137,52],"sum":877,"residue":104},{"from_index":1324,"to_index":1332,"interior_indices":[1325,1326,1327,1328,1329,1330,1331],"interior_values":[241,430,671,328,226,554,7],"sum":2457,"residue":138},{"from_index":1332,"to_index":1336,"interior_indices":[1333,1334,1335],"interior_values":[568,356,151],"sum":1075,"residue":302},{"from_index":1336,"to_index":1340,"interior_indices":[1337,1338,1339],"interior_values":[658,392,277],"sum":1327,"residue":554},{"from_index":1340,"to_index":1342,"interior_indices":[1341],"interior_values":[173],"sum":173,"residue":173},{"from_index":1342,"to_index":1348,"interior_indices":[1343,1344,1345,1346,1347],"interior_values":[242,311,553,91,644],"sum":1841,"residue":295},{"from_index":1348,"to_index":1349,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1349,"to_index":1353,"interior_indices":[1350,1351,1352],"interior_values":[568,401,196],"sum":1165,"residue":392},{"from_index":1353,"to_index":1358,"interior_indices":[1354,1355,1356,1357],"interior_values":[20,617,637,481],"sum":1755,"residue":209},{"from_index":1358,"to_index":1364,"interior_indices":[1359,1360,1361,1362,1363],"interior_values":[53,398,451,76,527],"sum":1505,"residue":732},{"from_index":1364,"to_index":1365,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1365,"to_index":1371,"interior_indices":[1366,1367,1368,1369,1370],"interior_values":[187,544,731,502,460],"sum":2424,"residue":105},{"from_index":1371,"to_index":1374,"interior_indices":[1372,1373],"interior_values":[649,65],"sum":714,"residue":714},{"from_index":1374,"to_index":1375,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1375,"to_index":1376,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1376,"to_index":1377,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1377,"to_index":1382,"interior_indices":[1378,1379,1380,1381],"interior_values":[673,626,526,379],"sum":2204,"residue":658},{"from_index":1382,"to_index":1385,"interior_indices":[1383,1384],"interior_values":[511,643],"sum":1154,"residue":381},{"from_index":1385,"to_index":1391,"interior_indices":[1386,1387,1388,1389,1390],"interior_values":[251,632,110,742,79],"sum":1814,"residue":268},{"from_index":1391,"to_index":1395,"interior_indices":[1392,1393,1394],"interior_values":[127,175,302],"sum":604,"residue":604},{"from_index":1395,"to_index":1396,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1396,"to_index":1397,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1397,"to_index":1398,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1398,"to_index":1401,"interior_indices":[1399,1400],"interior_values":[199,688],"sum":887,"residue":114},{"from_index":1401,"to_index":1405,"interior_indices":[1402,1403,1404],"interior_values":[29,143,172],"sum":344,"residue":344},{"from_index":1405,"to_index":1408,"interior_indices":[1406,1407],"interior_values":[487,29],"sum":516,"residue":516},{"from_index":1408,"to_index":1410,"interior_indices":[1409],"interior_values":[545],"sum":545,"residue":545},{"from_index":1410,"to_index":1411,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1411,"to_index":1412,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1412,"to_index":1413,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1413,"to_index":1414,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1414,"to_index":1417,"interior_indices":[1415,1416],"interior_values":[391,374],"sum":765,"residue":765},{"from_index":1417,"to_index":1418,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1418,"to_index":1421,"interior_indices":[1419,1420],"interior_values":[358,724],"sum":1082,"residue":309},{"from_index":1421,"to_index":1426,"interior_indices":[1422,1423,1424,1425],"interior_values":[260,569,56,625],"sum":1510,"residue":737},{"from_index":1426,"to_index":1428,"interior_indices":[1427],"interior_values":[533],"sum":533,"residue":533},{"from_index":1428,"to_index":1429,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1429,"to_index":1430,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1430,"to_index":1433,"interior_indices":[1431,1432],"interior_values":[70,712],"sum":782,"residue":9},{"from_index":1433,"to_index":1436,"interior_indices":[1434,1435],"interior_values":[721,730],"sum":1451,"residue":678},{"from_index":1436,"to_index":1438,"interior_indices":[1437],"interior_values":[635],"sum":635,"residue":635},{"from_index":1438,"to_index":1439,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1439,"to_index":1445,"interior_indices":[1440,1441,1442,1443,1444],"interior_values":[169,571,740,538,505],"sum":2523,"residue":204},{"from_index":1445,"to_index":1449,"interior_indices":[1446,1447,1448],"interior_values":[2,272,274],"sum":548,"residue":548},{"from_index":1449,"to_index":1454,"interior_indices":[1450,1451,1452,1453],"interior_values":[47,593,640,460],"sum":1740,"residue":194},{"from_index":1454,"to_index":1458,"interior_indices":[1455,1456,1457],"interior_values":[14,341,355],"sum":710,"residue":710},{"from_index":1458,"to_index":1460,"interior_indices":[1459],"interior_values":[278],"sum":278,"residue":278},{"from_index":1460,"to_index":1467,"interior_indices":[1461,1462,1463,1464,1465,1466],"interior_values":[479,680,386,293,679,199],"sum":2716,"residue":397},{"from_index":1467,"to_index":1477,"interior_indices":[1468,1469,1470,1471,1472,1473,1474,1475,1476],"interior_values":[304,409,713,349,289,638,154,19,173],"sum":3048,"residue":729},{"from_index":1477,"to_index":1483,"interior_indices":[1478,1479,1480,1481,1482],"interior_values":[365,557,149,706,82],"sum":1859,"residue":313},{"from_index":1483,"to_index":1487,"interior_indices":[1484,1485,1486],"interior_values":[97,112,209],"sum":418,"residue":418},{"from_index":1487,"to_index":1489,"interior_indices":[1488],"interior_values":[530],"sum":530,"residue":530},{"from_index":1489,"to_index":1498,"interior_indices":[1490,1491,1492,1493,1494,1495,1496,1497],"interior_values":[608,686,521,434,182,616,25,641],"sum":3713,"residue":621},{"from_index":1498,"to_index":1499,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1499,"to_index":1502,"interior_indices":[1500,1501],"interior_values":[427,188],"sum":615,"residue":615},{"from_index":1502,"to_index":1503,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1503,"to_index":1504,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1504,"to_index":1505,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1505,"to_index":1509,"interior_indices":[1506,1507,1508],"interior_values":[547,449,223],"sum":1219,"residue":446},{"from_index":1509,"to_index":1511,"interior_indices":[1510],"interior_values":[122],"sum":122,"residue":122},{"from_index":1511,"to_index":1515,"interior_indices":[1512,1513,1514],"interior_values":[143,164,307],"sum":614,"residue":614},{"from_index":1515,"to_index":1522,"interior_indices":[1516,1517,1518,1519,1520,1521],"interior_values":[5,476,481,184,665,76],"sum":1887,"residue":341},{"from_index":1522,"to_index":1524,"interior_indices":[1523],"interior_values":[44],"sum":44,"residue":44},{"from_index":1524,"to_index":1528,"interior_indices":[1525,1526,1527],"interior_values":[56,68,124],"sum":248,"residue":248},{"from_index":1528,"to_index":1531,"interior_indices":[1529,1530],"interior_values":[316,508],"sum":824,"residue":51},{"from_index":1531,"to_index":1534,"interior_indices":[1532,1533],"interior_values":[559,610],"sum":1169,"residue":396},{"from_index":1534,"to_index":1542,"interior_indices":[1535,1536,1537,1538,1539,1540,1541],"interior_values":[233,629,89,718,34,752,13],"sum":2468,"residue":149},{"from_index":1542,"to_index":0,"interior_indices":[1543,1544,1545,1546,1547],"interior_values":[5,770,2,772,1],"sum":1550,"residue":4}],"minimal_cycle":[4,26,178,661,513,196,179,0,630,0,0,0,452,128,692,566,434,686,0,0,0,0,15,624,557,0,0,563,105,480,386,215,100,0,771,0,33,402,199,262,36,569,0,41,0,408,425,56,744,0,568,767,0,48,663,632,0,315,53,248,42,357,299,169,0,410,371,727,302,14,243,165,716,0,0,276,56,446,3,509,437,227,207,458,0,0,0,699,0,279,554,200,434,182,422,560,161,123,368,656,0,0,0,0,64,578,680,500,425,749,0,0,342,217,406,521,164,300,0,0,0,222,3,347,653,0,0,0,0,27,678,644,0,39,576,497,0,0,0,0,393,539,698,0,0,0,0,0,0,40,548,320,721,422,741,0,327,754,140,213,722,236,554,338,326,244,261,164,552,635,0,0,303,301,414,634,219,410,230,600,704,0,129,410,753,0,83,0,246,628,519,253,520,0,0,375,636,0,572,257,68,570,0,0,240,434,637,233,0,726,0,119,0,495,572,0,0,0,623,135,600,581,0,0,534,452,695,0,0,0,0,132,692,580,651,752,0,768,0,108,729,761,0,336,0,0,21,768,0,0,0,771,770,0,650,629,0,90,717,0,0,0,113,614,568,645,743,0,666,0,364,521,443,481,256,680,0,0,0,759,0,180,548,408,0,0,624,572,0,0,204,317,764,365,713,0,0,0,344,404,290,722,2,147,720,767,0,435,0,23,0,156,392,735,0,622,0,0,0,230,410,649,189,170,63,474,356,27,497,0,0,0,164,44,72,555,482,746,0,0,0,546,761,0,315,185,143,284,573,650,0,670,0,213,188,612,731,0,405,485,562,492,476,671,764,0,0,0,0,0,348,449,433,706,0,0,516,455,707,0,0,0,0,729,0,39,456,317,673,173,0,426,467,290,120,404,380,614,523,504,494,719,0,0,0,0,570,0,0,0,188,92,228,561,0,0,0,284,768,0,537,662,0,0,534,0,0,0,447,563,0,0,0,0,123,446,608,221,746,470,0,0,0,96,104,138,302,554,173,295,0,392,209,732,0,105,714,0,0,0,658,381,268,604,0,0,0,114,344,516,545,0,0,0,0,765,0,309,737,533,0,0,9,678,635,0,204,548,194,710,278,397,729,313,418,530,621,0,615,0,0,0,446,122,614,341,44,248,51,396,149,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1548,4],"start_interval_values":[1,1,2],"circle_positions":773,"cycle_length":512,"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":[0,516,1032],"clock_positions":[1548,516,1032],"native_values":[773,145,628],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[773,145,628],"beta":{"interval_sums":[191002,205328,199653],"interval_residues":[71,483,219],"display_cycle":[71,483,219],"intervals":[{"from_index":0,"to_index":516,"sum":191002,"residue":71},{"from_index":516,"to_index":1032,"sum":205328,"residue":483},{"from_index":1032,"to_index":0,"sum":199653,"residue":219}],"minimal_cycle":[71,483,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[1548,516],"circle_positions":773,"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":[1,517,1033],"clock_positions":[1,517,1033],"native_values":[1,72,700],"rotation_degrees":0.23255813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,72,700],"beta":{"interval_sums":[191146,205884,198953],"interval_residues":[215,266,292],"display_cycle":[215,266,292],"intervals":[{"from_index":1,"to_index":517,"sum":191146,"residue":215},{"from_index":517,"to_index":1033,"sum":205884,"residue":266},{"from_index":1033,"to_index":1,"sum":198953,"residue":292}],"minimal_cycle":[215,266,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":215,"start_interval_clock_positions":[1,517],"circle_positions":773,"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":[2,518,1034],"clock_positions":[2,518,1034],"native_values":[1,217,555],"rotation_degrees":0.46511627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,217,555],"beta":{"interval_sums":[191217,206367,198399],"interval_residues":[286,749,511],"display_cycle":[286,749,511],"intervals":[{"from_index":2,"to_index":518,"sum":191217,"residue":286},{"from_index":518,"to_index":1034,"sum":206367,"residue":749},{"from_index":1034,"to_index":2,"sum":198399,"residue":511}],"minimal_cycle":[286,749,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[2,518],"circle_positions":773,"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":[3,519,1035],"clock_positions":[3,519,1035],"native_values":[2,289,482],"rotation_degrees":0.6976744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,289,482],"beta":{"interval_sums":[191432,206633,197918],"interval_residues":[501,242,30],"display_cycle":[501,242,30],"intervals":[{"from_index":3,"to_index":519,"sum":191432,"residue":501},{"from_index":519,"to_index":1035,"sum":206633,"residue":242},{"from_index":1035,"to_index":3,"sum":197918,"residue":30}],"minimal_cycle":[501,242,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[3,519],"circle_positions":773,"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":[4,520,1036],"clock_positions":[4,520,1036],"native_values":[3,506,264],"rotation_degrees":0.9302325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,506,264],"beta":{"interval_sums":[191718,206609,197656],"interval_residues":[14,218,541],"display_cycle":[14,218,541],"intervals":[{"from_index":4,"to_index":520,"sum":191718,"residue":14},{"from_index":520,"to_index":1036,"sum":206609,"residue":218},{"from_index":1036,"to_index":4,"sum":197656,"residue":541}],"minimal_cycle":[14,218,541],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[4,520],"circle_positions":773,"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":[5,521,1037],"clock_positions":[5,521,1037],"native_values":[5,22,746],"rotation_degrees":1.1627906976744187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,22,746],"beta":{"interval_sums":[192219,206851,196913],"interval_residues":[515,460,571],"display_cycle":[515,460,571],"intervals":[{"from_index":5,"to_index":521,"sum":192219,"residue":515},{"from_index":521,"to_index":1037,"sum":206851,"residue":460},{"from_index":1037,"to_index":5,"sum":196913,"residue":571}],"minimal_cycle":[515,460,571],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":515,"start_interval_clock_positions":[5,521],"circle_positions":773,"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":[6,522,1038],"clock_positions":[6,522,1038],"native_values":[8,528,237],"rotation_degrees":1.3953488372093024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,528,237],"beta":{"interval_sums":[192233,207069,196681],"interval_residues":[529,678,339],"display_cycle":[529,678,339],"intervals":[{"from_index":6,"to_index":522,"sum":192233,"residue":529},{"from_index":522,"to_index":1038,"sum":207069,"residue":678},{"from_index":1038,"to_index":6,"sum":196681,"residue":339}],"minimal_cycle":[529,678,339],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[6,522],"circle_positions":773,"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":[7,523,1039],"clock_positions":[7,523,1039],"native_values":[13,550,210],"rotation_degrees":1.627906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,550,210],"beta":{"interval_sums":[192748,206756,196479],"interval_residues":[271,365,137],"display_cycle":[271,365,137],"intervals":[{"from_index":7,"to_index":523,"sum":192748,"residue":271},{"from_index":523,"to_index":1039,"sum":206756,"residue":365},{"from_index":1039,"to_index":7,"sum":196479,"residue":137}],"minimal_cycle":[271,365,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[7,523],"circle_positions":773,"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":[8,524,1040],"clock_positions":[8,524,1040],"native_values":[21,305,447],"rotation_degrees":1.8604651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,305,447],"beta":{"interval_sums":[193277,206661,196045],"interval_residues":[27,270,476],"display_cycle":[27,270,476],"intervals":[{"from_index":8,"to_index":524,"sum":193277,"residue":27},{"from_index":524,"to_index":1040,"sum":206661,"residue":270},{"from_index":1040,"to_index":8,"sum":196045,"residue":476}],"minimal_cycle":[27,270,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[8,524],"circle_positions":773,"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":[9,525,1041],"clock_positions":[9,525,1041],"native_values":[34,82,657],"rotation_degrees":2.0930232558139537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,82,657],"beta":{"interval_sums":[193548,207026,195409],"interval_residues":[298,635,613],"display_cycle":[298,635,613],"intervals":[{"from_index":9,"to_index":525,"sum":193548,"residue":298},{"from_index":525,"to_index":1041,"sum":207026,"residue":635},{"from_index":1041,"to_index":9,"sum":195409,"residue":613}],"minimal_cycle":[298,635,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[9,525],"circle_positions":773,"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":[10,526,1042],"clock_positions":[10,526,1042],"native_values":[55,387,331],"rotation_degrees":2.3255813953488373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,387,331],"beta":{"interval_sums":[193575,207296,195112],"interval_residues":[325,132,316],"display_cycle":[325,132,316],"intervals":[{"from_index":10,"to_index":526,"sum":193575,"residue":325},{"from_index":526,"to_index":1042,"sum":207296,"residue":132},{"from_index":1042,"to_index":10,"sum":195112,"residue":316}],"minimal_cycle":[325,132,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[10,526],"circle_positions":773,"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":[11,527,1043],"clock_positions":[11,527,1043],"native_values":[89,469,215],"rotation_degrees":2.558139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,469,215],"beta":{"interval_sums":[193873,207158,194952],"interval_residues":[623,767,156],"display_cycle":[623,767,156],"intervals":[{"from_index":11,"to_index":527,"sum":193873,"residue":623},{"from_index":527,"to_index":1043,"sum":207158,"residue":767},{"from_index":1043,"to_index":11,"sum":194952,"residue":156}],"minimal_cycle":[623,767,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[11,527],"circle_positions":773,"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":[12,528,1044],"clock_positions":[12,528,1044],"native_values":[144,83,546],"rotation_degrees":2.7906976744186047,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,83,546],"beta":{"interval_sums":[194198,207290,194495],"interval_residues":[175,126,472],"display_cycle":[175,126,472],"intervals":[{"from_index":12,"to_index":528,"sum":194198,"residue":175},{"from_index":528,"to_index":1044,"sum":207290,"residue":126},{"from_index":1044,"to_index":12,"sum":194495,"residue":472}],"minimal_cycle":[175,126,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[12,528],"circle_positions":773,"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":[13,529,1045],"clock_positions":[13,529,1045],"native_values":[233,552,761],"rotation_degrees":3.0232558139534884,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,552,761],"beta":{"interval_sums":[194048,207284,193878],"interval_residues":[25,120,628],"display_cycle":[25,120,628],"intervals":[{"from_index":13,"to_index":529,"sum":194048,"residue":25},{"from_index":529,"to_index":1045,"sum":207284,"residue":120},{"from_index":1045,"to_index":13,"sum":193878,"residue":628}],"minimal_cycle":[25,120,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[13,529],"circle_positions":773,"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":[14,530,1046],"clock_positions":[14,530,1046],"native_values":[377,635,534],"rotation_degrees":3.255813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,635,534],"beta":{"interval_sums":[194223,207410,193577],"interval_residues":[200,246,327],"display_cycle":[200,246,327],"intervals":[{"from_index":14,"to_index":530,"sum":194223,"residue":200},{"from_index":530,"to_index":1046,"sum":207410,"residue":246},{"from_index":1046,"to_index":14,"sum":193577,"residue":327}],"minimal_cycle":[200,246,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[14,530],"circle_positions":773,"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":[15,531,1047],"clock_positions":[15,531,1047],"native_values":[610,414,522],"rotation_degrees":3.488372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,414,522],"beta":{"interval_sums":[194248,207530,193432],"interval_residues":[225,366,182],"display_cycle":[225,366,182],"intervals":[{"from_index":15,"to_index":531,"sum":194248,"residue":225},{"from_index":531,"to_index":1047,"sum":207530,"residue":366},{"from_index":1047,"to_index":15,"sum":193432,"residue":182}],"minimal_cycle":[225,366,182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[15,531],"circle_positions":773,"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":[16,532,1048],"clock_positions":[16,532,1048],"native_values":[214,276,283],"rotation_degrees":3.7209302325581395,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,276,283],"beta":{"interval_sums":[194448,207776,193759],"interval_residues":[425,612,509],"display_cycle":[425,612,509],"intervals":[{"from_index":16,"to_index":532,"sum":194448,"residue":425},{"from_index":532,"to_index":1048,"sum":207776,"residue":612},{"from_index":1048,"to_index":16,"sum":193759,"residue":509}],"minimal_cycle":[425,612,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[16,532],"circle_positions":773,"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":[17,533,1049],"clock_positions":[17,533,1049],"native_values":[51,690,32],"rotation_degrees":3.953488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,690,32],"beta":{"interval_sums":[194673,207369,193941],"interval_residues":[650,205,691],"display_cycle":[650,205,691],"intervals":[{"from_index":17,"to_index":533,"sum":194673,"residue":650},{"from_index":533,"to_index":1049,"sum":207369,"residue":205},{"from_index":1049,"to_index":17,"sum":193941,"residue":691}],"minimal_cycle":[650,205,691],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[17,533],"circle_positions":773,"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":[18,534,1050],"clock_positions":[18,534,1050],"native_values":[265,193,315],"rotation_degrees":4.186046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,193,315],"beta":{"interval_sums":[195098,207208,193677],"interval_residues":[302,44,427],"display_cycle":[302,44,427],"intervals":[{"from_index":18,"to_index":534,"sum":195098,"residue":302},{"from_index":534,"to_index":1050,"sum":207208,"residue":44},{"from_index":1050,"to_index":18,"sum":193677,"residue":427}],"minimal_cycle":[302,44,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[18,534],"circle_positions":773,"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":[19,535,1051],"clock_positions":[19,535,1051],"native_values":[316,110,347],"rotation_degrees":4.4186046511627906,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,110,347],"beta":{"interval_sums":[194975,207413,193595],"interval_residues":[179,249,345],"display_cycle":[179,249,345],"intervals":[{"from_index":19,"to_index":535,"sum":194975,"residue":179},{"from_index":535,"to_index":1051,"sum":207413,"residue":249},{"from_index":1051,"to_index":19,"sum":193595,"residue":345}],"minimal_cycle":[179,249,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":179,"start_interval_clock_positions":[19,535],"circle_positions":773,"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":[20,536,1052],"clock_positions":[20,536,1052],"native_values":[581,303,662],"rotation_degrees":4.651162790697675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,303,662],"beta":{"interval_sums":[194504,207457,193249],"interval_residues":[481,293,772],"display_cycle":[481,293,772],"intervals":[{"from_index":20,"to_index":536,"sum":194504,"residue":481},{"from_index":536,"to_index":1052,"sum":207457,"residue":293},{"from_index":1052,"to_index":20,"sum":193249,"residue":772}],"minimal_cycle":[481,293,772],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":481,"start_interval_clock_positions":[20,536],"circle_positions":773,"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":[21,537,1053],"clock_positions":[21,537,1053],"native_values":[124,413,236],"rotation_degrees":4.883720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,413,236],"beta":{"interval_sums":[194683,207706,193594],"interval_residues":[660,542,344],"display_cycle":[660,542,344],"intervals":[{"from_index":21,"to_index":537,"sum":194683,"residue":660},{"from_index":537,"to_index":1053,"sum":207706,"residue":542},{"from_index":1053,"to_index":21,"sum":193594,"residue":344}],"minimal_cycle":[660,542,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[21,537],"circle_positions":773,"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":[22,538,1054],"clock_positions":[22,538,1054],"native_values":[705,716,125],"rotation_degrees":5.116279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,716,125],"beta":{"interval_sums":[194391,207226,193593],"interval_residues":[368,62,343],"display_cycle":[368,62,343],"intervals":[{"from_index":22,"to_index":538,"sum":194391,"residue":368},{"from_index":538,"to_index":1054,"sum":207226,"residue":62},{"from_index":1054,"to_index":22,"sum":193593,"residue":343}],"minimal_cycle":[368,62,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[22,538],"circle_positions":773,"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":[23,539,1055],"clock_positions":[23,539,1055],"native_values":[56,356,361],"rotation_degrees":5.348837209302325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,356,361],"beta":{"interval_sums":[195051,206995,193937],"interval_residues":[255,604,687],"display_cycle":[255,604,687],"intervals":[{"from_index":23,"to_index":539,"sum":195051,"residue":255},{"from_index":539,"to_index":1055,"sum":206995,"residue":604},{"from_index":1055,"to_index":23,"sum":193937,"residue":687}],"minimal_cycle":[255,604,687],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[23,539],"circle_positions":773,"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":[24,540,1056],"clock_positions":[24,540,1056],"native_values":[761,299,486],"rotation_degrees":5.5813953488372094,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[761,299,486],"beta":{"interval_sums":[194646,207057,193507],"interval_residues":[623,666,257],"display_cycle":[623,666,257],"intervals":[{"from_index":24,"to_index":540,"sum":194646,"residue":623},{"from_index":540,"to_index":1056,"sum":207057,"residue":666},{"from_index":1056,"to_index":24,"sum":193507,"residue":257}],"minimal_cycle":[623,666,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[24,540],"circle_positions":773,"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":[25,541,1057],"clock_positions":[25,541,1057],"native_values":[44,655,74],"rotation_degrees":5.813953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,655,74],"beta":{"interval_sums":[194901,206888,194194],"interval_residues":[105,497,171],"display_cycle":[105,497,171],"intervals":[{"from_index":25,"to_index":541,"sum":194901,"residue":105},{"from_index":541,"to_index":1057,"sum":206888,"residue":497},{"from_index":1057,"to_index":25,"sum":194194,"residue":171}],"minimal_cycle":[105,497,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[25,541],"circle_positions":773,"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":[26,542,1058],"clock_positions":[26,542,1058],"native_values":[32,181,560],"rotation_degrees":6.046511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[32,181,560],"beta":{"interval_sums":[195524,206781,193678],"interval_residues":[728,390,428],"display_cycle":[728,390,428],"intervals":[{"from_index":26,"to_index":542,"sum":195524,"residue":728},{"from_index":542,"to_index":1058,"sum":206781,"residue":390},{"from_index":1058,"to_index":26,"sum":193678,"residue":428}],"minimal_cycle":[728,390,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[26,542],"circle_positions":773,"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":[27,543,1059],"clock_positions":[27,543,1059],"native_values":[76,63,634],"rotation_degrees":6.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,63,634],"beta":{"interval_sums":[195629,207278,193076],"interval_residues":[60,114,599],"display_cycle":[60,114,599],"intervals":[{"from_index":27,"to_index":543,"sum":195629,"residue":60},{"from_index":543,"to_index":1059,"sum":207278,"residue":114},{"from_index":1059,"to_index":27,"sum":193076,"residue":599}],"minimal_cycle":[60,114,599],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[27,543],"circle_positions":773,"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":[28,544,1060],"clock_positions":[28,544,1060],"native_values":[108,244,421],"rotation_degrees":6.511627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,244,421],"beta":{"interval_sums":[195584,207668,192731],"interval_residues":[15,504,254],"display_cycle":[15,504,254],"intervals":[{"from_index":28,"to_index":544,"sum":195584,"residue":15},{"from_index":544,"to_index":1060,"sum":207668,"residue":504},{"from_index":1060,"to_index":28,"sum":192731,"residue":254}],"minimal_cycle":[15,504,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[28,544],"circle_positions":773,"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":[29,545,1061],"clock_positions":[29,545,1061],"native_values":[184,307,282],"rotation_degrees":6.744186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,307,282],"beta":{"interval_sums":[195644,207782,192557],"interval_residues":[75,618,80],"display_cycle":[75,618,80],"intervals":[{"from_index":29,"to_index":545,"sum":195644,"residue":75},{"from_index":545,"to_index":1061,"sum":207782,"residue":618},{"from_index":1061,"to_index":29,"sum":192557,"residue":80}],"minimal_cycle":[75,618,80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[29,545],"circle_positions":773,"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":[30,546,1062],"clock_positions":[30,546,1062],"native_values":[292,551,703],"rotation_degrees":6.976744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,551,703],"beta":{"interval_sums":[195659,207513,192038],"interval_residues":[90,349,334],"display_cycle":[90,349,334],"intervals":[{"from_index":30,"to_index":546,"sum":195659,"residue":90},{"from_index":546,"to_index":1062,"sum":207513,"residue":349},{"from_index":1062,"to_index":30,"sum":192038,"residue":334}],"minimal_cycle":[90,349,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[30,546],"circle_positions":773,"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":[31,547,1063],"clock_positions":[31,547,1063],"native_values":[476,85,212],"rotation_degrees":7.209302325581396,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,85,212],"beta":{"interval_sums":[195734,208131,192118],"interval_residues":[165,194,414],"display_cycle":[165,194,414],"intervals":[{"from_index":31,"to_index":547,"sum":195734,"residue":165},{"from_index":547,"to_index":1063,"sum":208131,"residue":194},{"from_index":1063,"to_index":31,"sum":192118,"residue":414}],"minimal_cycle":[165,194,414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[31,547],"circle_positions":773,"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":[32,548,1064],"clock_positions":[32,548,1064],"native_values":[768,636,142],"rotation_degrees":7.441860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,636,142],"beta":{"interval_sums":[195051,207707,192452],"interval_residues":[255,543,748],"display_cycle":[255,543,748],"intervals":[{"from_index":32,"to_index":548,"sum":195051,"residue":255},{"from_index":548,"to_index":1064,"sum":207707,"residue":543},{"from_index":1064,"to_index":32,"sum":192452,"residue":748}],"minimal_cycle":[255,543,748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[32,548],"circle_positions":773,"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":[33,549,1065],"clock_positions":[33,549,1065],"native_values":[471,721,354],"rotation_degrees":7.674418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,721,354],"beta":{"interval_sums":[195216,207128,192866],"interval_residues":[420,737,389],"display_cycle":[420,737,389],"intervals":[{"from_index":33,"to_index":549,"sum":195216,"residue":420},{"from_index":549,"to_index":1065,"sum":207128,"residue":737},{"from_index":1065,"to_index":33,"sum":192866,"residue":389}],"minimal_cycle":[420,737,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[33,549],"circle_positions":773,"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":[34,550,1066],"clock_positions":[34,550,1066],"native_values":[466,584,496],"rotation_degrees":7.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,584,496],"beta":{"interval_sums":[195471,206898,192841],"interval_residues":[675,507,364],"display_cycle":[675,507,364],"intervals":[{"from_index":34,"to_index":550,"sum":195471,"residue":675},{"from_index":550,"to_index":1066,"sum":206898,"residue":507},{"from_index":1066,"to_index":34,"sum":192841,"residue":364}],"minimal_cycle":[675,507,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[34,550],"circle_positions":773,"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":[35,551,1067],"clock_positions":[35,551,1067],"native_values":[164,532,77],"rotation_degrees":8.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,532,77],"beta":{"interval_sums":[195891,206862,193230],"interval_residues":[322,471,753],"display_cycle":[322,471,753],"intervals":[{"from_index":35,"to_index":551,"sum":195891,"residue":322},{"from_index":551,"to_index":1067,"sum":206862,"residue":471},{"from_index":1067,"to_index":35,"sum":193230,"residue":753}],"minimal_cycle":[322,471,753],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[35,551],"circle_positions":773,"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":[36,552,1068],"clock_positions":[36,552,1068],"native_values":[630,343,573],"rotation_degrees":8.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,343,573],"beta":{"interval_sums":[195793,206596,192821],"interval_residues":[224,205,344],"display_cycle":[224,205,344],"intervals":[{"from_index":36,"to_index":552,"sum":195793,"residue":224},{"from_index":552,"to_index":1068,"sum":206596,"residue":205},{"from_index":1068,"to_index":36,"sum":192821,"residue":344}],"minimal_cycle":[224,205,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[36,552],"circle_positions":773,"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":[37,553,1069],"clock_positions":[37,553,1069],"native_values":[21,102,650],"rotation_degrees":8.604651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,102,650],"beta":{"interval_sums":[196115,207067,192801],"interval_residues":[546,676,324],"display_cycle":[546,676,324],"intervals":[{"from_index":37,"to_index":553,"sum":196115,"residue":546},{"from_index":553,"to_index":1069,"sum":207067,"residue":676},{"from_index":1069,"to_index":37,"sum":192801,"residue":324}],"minimal_cycle":[546,676,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[37,553],"circle_positions":773,"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":[38,554,1070],"clock_positions":[38,554,1070],"native_values":[651,445,450],"rotation_degrees":8.837209302325581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,445,450],"beta":{"interval_sums":[195566,207272,192372],"interval_residues":[770,108,668],"display_cycle":[770,108,668],"intervals":[{"from_index":38,"to_index":554,"sum":195566,"residue":770},{"from_index":554,"to_index":1070,"sum":207272,"residue":108},{"from_index":1070,"to_index":38,"sum":192372,"residue":668}],"minimal_cycle":[770,108,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[38,554],"circle_positions":773,"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":[39,555,1071],"clock_positions":[39,555,1071],"native_values":[672,547,327],"rotation_degrees":9.069767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,547,327],"beta":{"interval_sums":[195339,207175,192696],"interval_residues":[543,11,219],"display_cycle":[543,11,219],"intervals":[{"from_index":39,"to_index":555,"sum":195339,"residue":543},{"from_index":555,"to_index":1071,"sum":207175,"residue":11},{"from_index":1071,"to_index":39,"sum":192696,"residue":219}],"minimal_cycle":[543,11,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[39,555],"circle_positions":773,"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":[40,556,1072],"clock_positions":[40,556,1072],"native_values":[550,219,4],"rotation_degrees":9.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,219,4],"beta":{"interval_sums":[195336,207283,193364],"interval_residues":[540,119,114],"display_cycle":[540,119,114],"intervals":[{"from_index":40,"to_index":556,"sum":195336,"residue":540},{"from_index":556,"to_index":1072,"sum":207283,"residue":119},{"from_index":1072,"to_index":40,"sum":193364,"residue":114}],"minimal_cycle":[540,119,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[40,556],"circle_positions":773,"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":[41,557,1073],"clock_positions":[41,557,1073],"native_values":[449,766,331],"rotation_degrees":9.534883720930232,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,766,331],"beta":{"interval_sums":[195106,206521,193583],"interval_residues":[310,130,333],"display_cycle":[310,130,333],"intervals":[{"from_index":41,"to_index":557,"sum":195106,"residue":310},{"from_index":557,"to_index":1073,"sum":206521,"residue":130},{"from_index":1073,"to_index":41,"sum":193583,"residue":333}],"minimal_cycle":[310,130,333],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[41,557],"circle_positions":773,"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":[42,558,1074],"clock_positions":[42,558,1074],"native_values":[226,212,335],"rotation_degrees":9.767441860465116,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,212,335],"beta":{"interval_sums":[195646,206640,193697],"interval_residues":[77,249,447],"display_cycle":[77,249,447],"intervals":[{"from_index":42,"to_index":558,"sum":195646,"residue":77},{"from_index":558,"to_index":1074,"sum":206640,"residue":249},{"from_index":1074,"to_index":42,"sum":193697,"residue":447}],"minimal_cycle":[77,249,447],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[42,558],"circle_positions":773,"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":[43,559,1075],"clock_positions":[43,559,1075],"native_values":[675,205,666],"rotation_degrees":10.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,205,666],"beta":{"interval_sums":[195183,206770,193257],"interval_residues":[387,379,7],"display_cycle":[387,379,7],"intervals":[{"from_index":43,"to_index":559,"sum":195183,"residue":387},{"from_index":559,"to_index":1075,"sum":206770,"residue":379},{"from_index":1075,"to_index":43,"sum":193257,"residue":7}],"minimal_cycle":[387,379,7],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[43,559],"circle_positions":773,"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":[44,560,1076],"clock_positions":[44,560,1076],"native_values":[128,417,228],"rotation_degrees":10.232558139534884,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,417,228],"beta":{"interval_sums":[195260,207019,193704],"interval_residues":[464,628,454],"display_cycle":[464,628,454],"intervals":[{"from_index":44,"to_index":560,"sum":195260,"residue":464},{"from_index":560,"to_index":1076,"sum":207019,"residue":628},{"from_index":1076,"to_index":44,"sum":193704,"residue":454}],"minimal_cycle":[464,628,454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[44,560],"circle_positions":773,"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":[45,561,1077],"clock_positions":[45,561,1077],"native_values":[30,622,121],"rotation_degrees":10.465116279069768,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,622,121],"beta":{"interval_sums":[195647,206625,193711],"interval_residues":[78,234,461],"display_cycle":[78,234,461],"intervals":[{"from_index":45,"to_index":561,"sum":195647,"residue":78},{"from_index":561,"to_index":1077,"sum":206625,"residue":234},{"from_index":1077,"to_index":45,"sum":193711,"residue":461}],"minimal_cycle":[78,234,461],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[45,561],"circle_positions":773,"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":[46,562,1078],"clock_positions":[46,562,1078],"native_values":[158,266,349],"rotation_degrees":10.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,266,349],"beta":{"interval_sums":[196111,206480,193392],"interval_residues":[542,89,142],"display_cycle":[542,89,142],"intervals":[{"from_index":46,"to_index":562,"sum":196111,"residue":542},{"from_index":562,"to_index":1078,"sum":206480,"residue":89},{"from_index":1078,"to_index":46,"sum":193392,"residue":142}],"minimal_cycle":[542,89,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[46,562],"circle_positions":773,"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":[47,563,1079],"clock_positions":[47,563,1079],"native_values":[188,115,470],"rotation_degrees":10.930232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,115,470],"beta":{"interval_sums":[196189,206714,193080],"interval_residues":[620,323,603],"display_cycle":[620,323,603],"intervals":[{"from_index":47,"to_index":563,"sum":196189,"residue":620},{"from_index":563,"to_index":1079,"sum":206714,"residue":323},{"from_index":1079,"to_index":47,"sum":193080,"residue":603}],"minimal_cycle":[620,323,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[47,563],"circle_positions":773,"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":[48,564,1080],"clock_positions":[48,564,1080],"native_values":[346,381,46],"rotation_degrees":11.162790697674419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,381,46],"beta":{"interval_sums":[195958,206803,193222],"interval_residues":[389,412,745],"display_cycle":[389,412,745],"intervals":[{"from_index":48,"to_index":564,"sum":195958,"residue":389},{"from_index":564,"to_index":1080,"sum":206803,"residue":412},{"from_index":1080,"to_index":48,"sum":193222,"residue":745}],"minimal_cycle":[389,412,745],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[48,564],"circle_positions":773,"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":[49,565,1081],"clock_positions":[49,565,1081],"native_values":[534,496,516],"rotation_degrees":11.395348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[534,496,516],"beta":{"interval_sums":[195805,206353,193052],"interval_residues":[236,735,575],"display_cycle":[236,735,575],"intervals":[{"from_index":49,"to_index":565,"sum":195805,"residue":236},{"from_index":565,"to_index":1081,"sum":206353,"residue":735},{"from_index":1081,"to_index":49,"sum":193052,"residue":575}],"minimal_cycle":[236,735,575],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[49,565],"circle_positions":773,"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":[50,566,1082],"clock_positions":[50,566,1082],"native_values":[107,104,562],"rotation_degrees":11.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,104,562],"beta":{"interval_sums":[196194,206765,193024],"interval_residues":[625,374,547],"display_cycle":[625,374,547],"intervals":[{"from_index":50,"to_index":566,"sum":196194,"residue":625},{"from_index":566,"to_index":1082,"sum":206765,"residue":374},{"from_index":1082,"to_index":50,"sum":193024,"residue":547}],"minimal_cycle":[625,374,547],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":625,"start_interval_clock_positions":[50,566],"circle_positions":773,"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":[51,567,1083],"clock_positions":[51,567,1083],"native_values":[641,600,305],"rotation_degrees":11.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,600,305],"beta":{"interval_sums":[195657,206727,192826],"interval_residues":[88,336,349],"display_cycle":[88,336,349],"intervals":[{"from_index":51,"to_index":567,"sum":195657,"residue":88},{"from_index":567,"to_index":1083,"sum":206727,"residue":336},{"from_index":1083,"to_index":51,"sum":192826,"residue":349}],"minimal_cycle":[88,336,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[51,567],"circle_positions":773,"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":[52,568,1084],"clock_positions":[52,568,1084],"native_values":[748,704,94],"rotation_degrees":12.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[748,704,94],"beta":{"interval_sums":[195509,206328,193373],"interval_residues":[713,710,123],"display_cycle":[713,710,123],"intervals":[{"from_index":52,"to_index":568,"sum":195509,"residue":713},{"from_index":568,"to_index":1084,"sum":206328,"residue":710},{"from_index":1084,"to_index":52,"sum":193373,"residue":123}],"minimal_cycle":[713,710,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[52,568],"circle_positions":773,"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":[53,569,1085],"clock_positions":[53,569,1085],"native_values":[616,531,399],"rotation_degrees":12.325581395348838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,531,399],"beta":{"interval_sums":[195597,205891,193722],"interval_residues":[28,273,472],"display_cycle":[28,273,472],"intervals":[{"from_index":53,"to_index":569,"sum":195597,"residue":28},{"from_index":569,"to_index":1085,"sum":205891,"residue":273},{"from_index":1085,"to_index":53,"sum":193722,"residue":472}],"minimal_cycle":[28,273,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[53,569],"circle_positions":773,"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":[54,570,1086],"clock_positions":[54,570,1086],"native_values":[591,462,493],"rotation_degrees":12.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,462,493],"beta":{"interval_sums":[195537,205828,193845],"interval_residues":[741,210,595],"display_cycle":[741,210,595],"intervals":[{"from_index":54,"to_index":570,"sum":195537,"residue":741},{"from_index":570,"to_index":1086,"sum":205828,"residue":210},{"from_index":1086,"to_index":54,"sum":193845,"residue":595}],"minimal_cycle":[741,210,595],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[54,570],"circle_positions":773,"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":[55,571,1087],"clock_positions":[55,571,1087],"native_values":[434,220,119],"rotation_degrees":12.790697674418604,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,220,119],"beta":{"interval_sums":[195565,206101,194317],"interval_residues":[769,483,294],"display_cycle":[769,483,294],"intervals":[{"from_index":55,"to_index":571,"sum":195565,"residue":769},{"from_index":571,"to_index":1087,"sum":206101,"residue":483},{"from_index":1087,"to_index":55,"sum":194317,"residue":294}],"minimal_cycle":[769,483,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":769,"start_interval_clock_positions":[55,571],"circle_positions":773,"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":[56,572,1088],"clock_positions":[56,572,1088],"native_values":[252,682,612],"rotation_degrees":13.023255813953488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,682,612],"beta":{"interval_sums":[195533,205538,194139],"interval_residues":[737,693,116],"display_cycle":[737,693,116],"intervals":[{"from_index":56,"to_index":572,"sum":195533,"residue":737},{"from_index":572,"to_index":1088,"sum":205538,"residue":693},{"from_index":1088,"to_index":56,"sum":194139,"residue":116}],"minimal_cycle":[737,693,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":737,"start_interval_clock_positions":[56,572],"circle_positions":773,"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":[57,573,1089],"clock_positions":[57,573,1089],"native_values":[686,129,731],"rotation_degrees":13.255813953488373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,129,731],"beta":{"interval_sums":[195529,206021,193660],"interval_residues":[733,403,410],"display_cycle":[733,403,410],"intervals":[{"from_index":57,"to_index":573,"sum":195529,"residue":733},{"from_index":573,"to_index":1089,"sum":206021,"residue":403},{"from_index":1089,"to_index":57,"sum":193660,"residue":410}],"minimal_cycle":[733,403,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[57,573],"circle_positions":773,"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":[58,574,1090],"clock_positions":[58,574,1090],"native_values":[165,38,570],"rotation_degrees":13.488372093023257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,38,570],"beta":{"interval_sums":[195493,206714,193776],"interval_residues":[697,323,526],"display_cycle":[697,323,526],"intervals":[{"from_index":58,"to_index":574,"sum":195493,"residue":697},{"from_index":574,"to_index":1090,"sum":206714,"residue":323},{"from_index":1090,"to_index":58,"sum":193776,"residue":526}],"minimal_cycle":[697,323,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":697,"start_interval_clock_positions":[58,574],"circle_positions":773,"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":[59,575,1091],"clock_positions":[59,575,1091],"native_values":[78,167,528],"rotation_degrees":13.720930232558139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,167,528],"beta":{"interval_sums":[195453,207117,193413],"interval_residues":[657,726,163],"display_cycle":[657,726,163],"intervals":[{"from_index":59,"to_index":575,"sum":195453,"residue":657},{"from_index":575,"to_index":1091,"sum":207117,"residue":726},{"from_index":1091,"to_index":59,"sum":193413,"residue":163}],"minimal_cycle":[657,726,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[59,575],"circle_positions":773,"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":[60,576,1092],"clock_positions":[60,576,1092],"native_values":[243,205,325],"rotation_degrees":13.953488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,205,325],"beta":{"interval_sums":[195377,207440,193166],"interval_residues":[581,276,689],"display_cycle":[581,276,689],"intervals":[{"from_index":60,"to_index":576,"sum":195377,"residue":581},{"from_index":576,"to_index":1092,"sum":207440,"residue":276},{"from_index":1092,"to_index":60,"sum":193166,"residue":689}],"minimal_cycle":[581,276,689],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[60,576],"circle_positions":773,"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":[61,577,1093],"clock_positions":[61,577,1093],"native_values":[321,372,80],"rotation_degrees":14.186046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,372,80],"beta":{"interval_sums":[195261,207393,193329],"interval_residues":[465,229,79],"display_cycle":[465,229,79],"intervals":[{"from_index":61,"to_index":577,"sum":195261,"residue":465},{"from_index":577,"to_index":1093,"sum":207393,"residue":229},{"from_index":1093,"to_index":61,"sum":193329,"residue":79}],"minimal_cycle":[465,229,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[61,577],"circle_positions":773,"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":[62,578,1094],"clock_positions":[62,578,1094],"native_values":[564,577,405],"rotation_degrees":14.418604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,577,405],"beta":{"interval_sums":[195069,206896,193245],"interval_residues":[273,505,768],"display_cycle":[273,505,768],"intervals":[{"from_index":62,"to_index":578,"sum":195069,"residue":273},{"from_index":578,"to_index":1094,"sum":206896,"residue":505},{"from_index":1094,"to_index":62,"sum":193245,"residue":768}],"minimal_cycle":[273,505,768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[62,578],"circle_positions":773,"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":[63,579,1095],"clock_positions":[63,579,1095],"native_values":[112,176,485],"rotation_degrees":14.651162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,176,485],"beta":{"interval_sums":[195534,207125,193324],"interval_residues":[738,734,74],"display_cycle":[738,734,74],"intervals":[{"from_index":63,"to_index":579,"sum":195534,"residue":738},{"from_index":579,"to_index":1095,"sum":207125,"residue":734},{"from_index":1095,"to_index":63,"sum":193324,"residue":74}],"minimal_cycle":[738,734,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[63,579],"circle_positions":773,"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":[64,580,1096],"clock_positions":[64,580,1096],"native_values":[676,753,117],"rotation_degrees":14.883720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,753,117],"beta":{"interval_sums":[195034,206857,193319],"interval_residues":[238,466,69],"display_cycle":[238,466,69],"intervals":[{"from_index":64,"to_index":580,"sum":195034,"residue":238},{"from_index":580,"to_index":1096,"sum":206857,"residue":466},{"from_index":1096,"to_index":64,"sum":193319,"residue":69}],"minimal_cycle":[238,466,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[64,580],"circle_positions":773,"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":[65,581,1097],"clock_positions":[65,581,1097],"native_values":[15,156,602],"rotation_degrees":15.116279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,156,602],"beta":{"interval_sums":[195772,206818,193393],"interval_residues":[203,427,143],"display_cycle":[203,427,143],"intervals":[{"from_index":65,"to_index":581,"sum":195772,"residue":203},{"from_index":581,"to_index":1097,"sum":206818,"residue":427},{"from_index":1097,"to_index":65,"sum":193393,"residue":143}],"minimal_cycle":[203,427,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[65,581],"circle_positions":773,"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":[66,582,1098],"clock_positions":[66,582,1098],"native_values":[691,136,719],"rotation_degrees":15.348837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,136,719],"beta":{"interval_sums":[195237,207284,192689],"interval_residues":[441,120,212],"display_cycle":[441,120,212],"intervals":[{"from_index":66,"to_index":582,"sum":195237,"residue":441},{"from_index":582,"to_index":1098,"sum":207284,"residue":120},{"from_index":1098,"to_index":66,"sum":192689,"residue":212}],"minimal_cycle":[441,120,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[66,582],"circle_positions":773,"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":[67,583,1099],"clock_positions":[67,583,1099],"native_values":[706,292,548],"rotation_degrees":15.581395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,292,548],"beta":{"interval_sums":[194667,207711,192832],"interval_residues":[644,547,355],"display_cycle":[644,547,355],"intervals":[{"from_index":67,"to_index":583,"sum":194667,"residue":644},{"from_index":583,"to_index":1099,"sum":207711,"residue":547},{"from_index":1099,"to_index":67,"sum":192832,"residue":355}],"minimal_cycle":[644,547,355],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[67,583],"circle_positions":773,"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":[68,584,1100],"clock_positions":[68,584,1100],"native_values":[624,428,494],"rotation_degrees":15.813953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,428,494],"beta":{"interval_sums":[194335,207831,193044],"interval_residues":[312,667,567],"display_cycle":[312,667,567],"intervals":[{"from_index":68,"to_index":584,"sum":194335,"residue":312},{"from_index":584,"to_index":1100,"sum":207831,"residue":667},{"from_index":1100,"to_index":68,"sum":193044,"residue":567}],"minimal_cycle":[312,667,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[68,584],"circle_positions":773,"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":[69,585,1101],"clock_positions":[69,585,1101],"native_values":[557,720,269],"rotation_degrees":16.046511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,720,269],"beta":{"interval_sums":[194206,207605,193399],"interval_residues":[183,441,149],"display_cycle":[183,441,149],"intervals":[{"from_index":69,"to_index":585,"sum":194206,"residue":183},{"from_index":585,"to_index":1101,"sum":207605,"residue":441},{"from_index":1101,"to_index":69,"sum":193399,"residue":149}],"minimal_cycle":[183,441,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[69,585],"circle_positions":773,"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":[70,586,1102],"clock_positions":[70,586,1102],"native_values":[408,375,763],"rotation_degrees":16.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,375,763],"beta":{"interval_sums":[194518,207499,193193],"interval_residues":[495,335,716],"display_cycle":[495,335,716],"intervals":[{"from_index":70,"to_index":586,"sum":194518,"residue":495},{"from_index":586,"to_index":1102,"sum":207499,"residue":335},{"from_index":1102,"to_index":70,"sum":193193,"residue":716}],"minimal_cycle":[495,335,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[70,586],"circle_positions":773,"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":[71,587,1103],"clock_positions":[71,587,1103],"native_values":[192,322,259],"rotation_degrees":16.511627906976745,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,322,259],"beta":{"interval_sums":[194701,207940,193342],"interval_residues":[678,3,92],"display_cycle":[678,3,92],"intervals":[{"from_index":71,"to_index":587,"sum":194701,"residue":678},{"from_index":587,"to_index":1103,"sum":207940,"residue":3},{"from_index":1103,"to_index":71,"sum":193342,"residue":92}],"minimal_cycle":[678,3,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[71,587],"circle_positions":773,"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":[72,588,1104],"clock_positions":[72,588,1104],"native_values":[600,697,249],"rotation_degrees":16.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,697,249],"beta":{"interval_sums":[194423,207502,193285],"interval_residues":[400,338,35],"display_cycle":[400,338,35],"intervals":[{"from_index":72,"to_index":588,"sum":194423,"residue":400},{"from_index":588,"to_index":1104,"sum":207502,"residue":338},{"from_index":1104,"to_index":72,"sum":193285,"residue":35}],"minimal_cycle":[400,338,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[72,588],"circle_positions":773,"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":[73,589,1105],"clock_positions":[73,589,1105],"native_values":[19,246,508],"rotation_degrees":16.976744186046513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,246,508],"beta":{"interval_sums":[195101,207505,193377],"interval_residues":[305,341,127],"display_cycle":[305,341,127],"intervals":[{"from_index":73,"to_index":589,"sum":195101,"residue":305},{"from_index":589,"to_index":1105,"sum":207505,"residue":341},{"from_index":1105,"to_index":73,"sum":193377,"residue":127}],"minimal_cycle":[305,341,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[73,589],"circle_positions":773,"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":[74,590,1106],"clock_positions":[74,590,1106],"native_values":[619,170,757],"rotation_degrees":17.209302325581394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,170,757],"beta":{"interval_sums":[194728,207843,192639],"interval_residues":[705,679,162],"display_cycle":[705,679,162],"intervals":[{"from_index":74,"to_index":590,"sum":194728,"residue":705},{"from_index":590,"to_index":1106,"sum":207843,"residue":679},{"from_index":1106,"to_index":74,"sum":192639,"residue":162}],"minimal_cycle":[705,679,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":705,"start_interval_clock_positions":[74,590],"circle_positions":773,"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":[75,591,1107],"clock_positions":[75,591,1107],"native_values":[638,416,492],"rotation_degrees":17.441860465116278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,416,492],"beta":{"interval_sums":[194260,208184,192766],"interval_residues":[237,247,289],"display_cycle":[237,247,289],"intervals":[{"from_index":75,"to_index":591,"sum":194260,"residue":237},{"from_index":591,"to_index":1107,"sum":208184,"residue":247},{"from_index":1107,"to_index":75,"sum":192766,"residue":289}],"minimal_cycle":[237,247,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[75,591],"circle_positions":773,"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":[76,592,1108],"clock_positions":[76,592,1108],"native_values":[484,586,476],"rotation_degrees":17.674418604651162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,586,476],"beta":{"interval_sums":[194192,208090,192928],"interval_residues":[169,153,451],"display_cycle":[169,153,451],"intervals":[{"from_index":76,"to_index":592,"sum":194192,"residue":169},{"from_index":592,"to_index":1108,"sum":208090,"residue":153},{"from_index":1108,"to_index":76,"sum":192928,"residue":451}],"minimal_cycle":[169,153,451],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[76,592],"circle_positions":773,"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":[77,593,1109],"clock_positions":[77,593,1109],"native_values":[349,229,195],"rotation_degrees":17.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,229,195],"beta":{"interval_sums":[194429,208337,193217],"interval_residues":[406,400,740],"display_cycle":[406,400,740],"intervals":[{"from_index":77,"to_index":593,"sum":194429,"residue":406},{"from_index":593,"to_index":1109,"sum":208337,"residue":400},{"from_index":1109,"to_index":77,"sum":193217,"residue":740}],"minimal_cycle":[406,400,740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[77,593],"circle_positions":773,"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":[78,594,1110],"clock_positions":[78,594,1110],"native_values":[60,42,671],"rotation_degrees":18.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,42,671],"beta":{"interval_sums":[194598,208490,192895],"interval_residues":[575,553,418],"display_cycle":[575,553,418],"intervals":[{"from_index":78,"to_index":594,"sum":194598,"residue":575},{"from_index":594,"to_index":1110,"sum":208490,"residue":553},{"from_index":1110,"to_index":78,"sum":192895,"residue":418}],"minimal_cycle":[575,553,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[78,594],"circle_positions":773,"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":[79,595,1111],"clock_positions":[79,595,1111],"native_values":[409,271,93],"rotation_degrees":18.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,271,93],"beta":{"interval_sums":[194231,208890,192862],"interval_residues":[208,180,385],"display_cycle":[208,180,385],"intervals":[{"from_index":79,"to_index":595,"sum":194231,"residue":208},{"from_index":595,"to_index":1111,"sum":208890,"residue":180},{"from_index":1111,"to_index":79,"sum":192862,"residue":385}],"minimal_cycle":[208,180,385],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[79,595],"circle_positions":773,"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":[80,596,1112],"clock_positions":[80,596,1112],"native_values":[469,313,764],"rotation_degrees":18.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,313,764],"beta":{"interval_sums":[194033,208670,192507],"interval_residues":[10,733,30],"display_cycle":[10,733,30],"intervals":[{"from_index":80,"to_index":596,"sum":194033,"residue":10},{"from_index":596,"to_index":1112,"sum":208670,"residue":733},{"from_index":1112,"to_index":80,"sum":192507,"residue":30}],"minimal_cycle":[10,733,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[80,596],"circle_positions":773,"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":[81,597,1113],"clock_positions":[81,597,1113],"native_values":[105,584,84],"rotation_degrees":18.837209302325583,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,584,84],"beta":{"interval_sums":[194241,208850,192892],"interval_residues":[218,140,415],"display_cycle":[218,140,415],"intervals":[{"from_index":81,"to_index":597,"sum":194241,"residue":218},{"from_index":597,"to_index":1113,"sum":208850,"residue":140},{"from_index":1113,"to_index":81,"sum":192892,"residue":415}],"minimal_cycle":[218,140,415],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[81,597],"circle_positions":773,"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":[82,598,1114],"clock_positions":[82,598,1114],"native_values":[574,124,75],"rotation_degrees":19.069767441860463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,124,75],"beta":{"interval_sums":[194251,208810,192922],"interval_residues":[228,100,445],"display_cycle":[228,100,445],"intervals":[{"from_index":82,"to_index":598,"sum":194251,"residue":228},{"from_index":598,"to_index":1114,"sum":208810,"residue":100},{"from_index":1114,"to_index":82,"sum":192922,"residue":445}],"minimal_cycle":[228,100,445],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[82,598],"circle_positions":773,"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":[83,599,1115],"clock_positions":[83,599,1115],"native_values":[679,708,159],"rotation_degrees":19.302325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,708,159],"beta":{"interval_sums":[193696,208177,193337],"interval_residues":[446,240,87],"display_cycle":[446,240,87],"intervals":[{"from_index":83,"to_index":599,"sum":193696,"residue":446},{"from_index":599,"to_index":1115,"sum":208177,"residue":240},{"from_index":1115,"to_index":83,"sum":193337,"residue":87}],"minimal_cycle":[446,240,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[83,599],"circle_positions":773,"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":[84,600,1116],"clock_positions":[84,600,1116],"native_values":[480,59,234],"rotation_degrees":19.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,59,234],"beta":{"interval_sums":[193924,208277,193782],"interval_residues":[674,340,532],"display_cycle":[674,340,532],"intervals":[{"from_index":84,"to_index":600,"sum":193924,"residue":674},{"from_index":600,"to_index":1116,"sum":208277,"residue":340},{"from_index":1116,"to_index":84,"sum":193782,"residue":532}],"minimal_cycle":[674,340,532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[84,600],"circle_positions":773,"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":[85,601,1117],"clock_positions":[85,601,1117],"native_values":[386,767,393],"rotation_degrees":19.767441860465116,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,767,393],"beta":{"interval_sums":[193597,207744,193869],"interval_residues":[347,580,619],"display_cycle":[347,580,619],"intervals":[{"from_index":85,"to_index":601,"sum":193597,"residue":347},{"from_index":601,"to_index":1117,"sum":207744,"residue":580},{"from_index":1117,"to_index":85,"sum":193869,"residue":619}],"minimal_cycle":[347,580,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[85,601],"circle_positions":773,"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":[86,602,1118],"clock_positions":[86,602,1118],"native_values":[93,53,627],"rotation_degrees":20.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,53,627],"beta":{"interval_sums":[194271,208084,193628],"interval_residues":[248,147,378],"display_cycle":[248,147,378],"intervals":[{"from_index":86,"to_index":602,"sum":194271,"residue":248},{"from_index":602,"to_index":1118,"sum":208084,"residue":147},{"from_index":1118,"to_index":86,"sum":193628,"residue":378}],"minimal_cycle":[248,147,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[86,602],"circle_positions":773,"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":[87,603,1119],"clock_positions":[87,603,1119],"native_values":[479,47,247],"rotation_degrees":20.232558139534884,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,47,247],"beta":{"interval_sums":[193845,208664,193474],"interval_residues":[595,727,224],"display_cycle":[595,727,224],"intervals":[{"from_index":87,"to_index":603,"sum":193845,"residue":595},{"from_index":603,"to_index":1119,"sum":208664,"residue":727},{"from_index":1119,"to_index":87,"sum":193474,"residue":224}],"minimal_cycle":[595,727,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":595,"start_interval_clock_positions":[87,603],"circle_positions":773,"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":[88,604,1120],"clock_positions":[88,604,1120],"native_values":[572,100,101],"rotation_degrees":20.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[572,100,101],"beta":{"interval_sums":[193320,208811,193852],"interval_residues":[70,101,602],"display_cycle":[70,101,602],"intervals":[{"from_index":88,"to_index":604,"sum":193320,"residue":70},{"from_index":604,"to_index":1120,"sum":208811,"residue":101},{"from_index":1120,"to_index":88,"sum":193852,"residue":602}],"minimal_cycle":[70,101,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[88,604],"circle_positions":773,"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":[89,605,1121],"clock_positions":[89,605,1121],"native_values":[278,147,348],"rotation_degrees":20.697674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,147,348],"beta":{"interval_sums":[193142,208765,194076],"interval_residues":[665,55,53],"display_cycle":[665,55,53],"intervals":[{"from_index":89,"to_index":605,"sum":193142,"residue":665},{"from_index":605,"to_index":1121,"sum":208765,"residue":55},{"from_index":1121,"to_index":89,"sum":194076,"residue":53}],"minimal_cycle":[665,55,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[89,605],"circle_positions":773,"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":[90,606,1122],"clock_positions":[90,606,1122],"native_values":[77,247,449],"rotation_degrees":20.930232558139537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,247,449],"beta":{"interval_sums":[193212,208866,193905],"interval_residues":[735,156,655],"display_cycle":[735,156,655],"intervals":[{"from_index":90,"to_index":606,"sum":193212,"residue":735},{"from_index":606,"to_index":1122,"sum":208866,"residue":156},{"from_index":1122,"to_index":90,"sum":193905,"residue":655}],"minimal_cycle":[735,156,655],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":735,"start_interval_clock_positions":[90,606],"circle_positions":773,"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":[91,607,1123],"clock_positions":[91,607,1123],"native_values":[355,394,24],"rotation_degrees":21.162790697674417,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,394,24],"beta":{"interval_sums":[193104,208921,193958],"interval_residues":[627,211,708],"display_cycle":[627,211,708],"intervals":[{"from_index":91,"to_index":607,"sum":193104,"residue":627},{"from_index":607,"to_index":1123,"sum":208921,"residue":211},{"from_index":1123,"to_index":91,"sum":193958,"residue":708}],"minimal_cycle":[627,211,708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":627,"start_interval_clock_positions":[91,607],"circle_positions":773,"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":[92,608,1124],"clock_positions":[92,608,1124],"native_values":[432,641,473],"rotation_degrees":21.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[432,641,473],"beta":{"interval_sums":[193066,208304,193840],"interval_residues":[589,367,590],"display_cycle":[589,367,590],"intervals":[{"from_index":92,"to_index":608,"sum":193066,"residue":589},{"from_index":608,"to_index":1124,"sum":208304,"residue":367},{"from_index":1124,"to_index":92,"sum":193840,"residue":590}],"minimal_cycle":[589,367,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[92,608],"circle_positions":773,"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":[93,609,1125],"clock_positions":[93,609,1125],"native_values":[14,262,497],"rotation_degrees":21.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,262,497],"beta":{"interval_sums":[193693,208515,193775],"interval_residues":[443,578,525],"display_cycle":[443,578,525],"intervals":[{"from_index":93,"to_index":609,"sum":193693,"residue":443},{"from_index":609,"to_index":1125,"sum":208515,"residue":578},{"from_index":1125,"to_index":93,"sum":193775,"residue":525}],"minimal_cycle":[443,578,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":443,"start_interval_clock_positions":[93,609],"circle_positions":773,"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":[94,610,1126],"clock_positions":[94,610,1126],"native_values":[446,130,197],"rotation_degrees":21.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,130,197],"beta":{"interval_sums":[193509,208882,193592],"interval_residues":[259,172,342],"display_cycle":[259,172,342],"intervals":[{"from_index":94,"to_index":610,"sum":193509,"residue":259},{"from_index":610,"to_index":1126,"sum":208882,"residue":172},{"from_index":1126,"to_index":94,"sum":193592,"residue":342}],"minimal_cycle":[259,172,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[94,610],"circle_positions":773,"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":[95,611,1127],"clock_positions":[95,611,1127],"native_values":[460,392,694],"rotation_degrees":22.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,392,694],"beta":{"interval_sums":[193179,208687,193344],"interval_residues":[702,750,94],"display_cycle":[702,750,94],"intervals":[{"from_index":95,"to_index":611,"sum":193179,"residue":702},{"from_index":611,"to_index":1127,"sum":208687,"residue":750},{"from_index":1127,"to_index":95,"sum":193344,"residue":94}],"minimal_cycle":[702,750,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[95,611],"circle_positions":773,"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":[96,612,1128],"clock_positions":[96,612,1128],"native_values":[133,522,118],"rotation_degrees":22.325581395348838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,522,118],"beta":{"interval_sums":[193438,208859,193686],"interval_residues":[188,149,436],"display_cycle":[188,149,436],"intervals":[{"from_index":96,"to_index":612,"sum":193438,"residue":188},{"from_index":612,"to_index":1128,"sum":208859,"residue":149},{"from_index":1128,"to_index":96,"sum":193686,"residue":436}],"minimal_cycle":[188,149,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[96,612],"circle_positions":773,"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":[97,613,1129],"clock_positions":[97,613,1129],"native_values":[593,141,39],"rotation_degrees":22.558139534883722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,141,39],"beta":{"interval_sums":[193367,208836,193780],"interval_residues":[117,126,530],"display_cycle":[117,126,530],"intervals":[{"from_index":97,"to_index":613,"sum":193367,"residue":117},{"from_index":613,"to_index":1129,"sum":208836,"residue":126},{"from_index":1129,"to_index":97,"sum":193780,"residue":530}],"minimal_cycle":[117,126,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[97,613],"circle_positions":773,"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":[98,614,1130],"clock_positions":[98,614,1130],"native_values":[726,663,157],"rotation_degrees":22.790697674418606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,663,157],"beta":{"interval_sums":[192782,208212,194216],"interval_residues":[305,275,193],"display_cycle":[305,275,193],"intervals":[{"from_index":98,"to_index":614,"sum":192782,"residue":305},{"from_index":614,"to_index":1130,"sum":208212,"residue":275},{"from_index":1130,"to_index":98,"sum":194216,"residue":193}],"minimal_cycle":[305,275,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[98,614],"circle_positions":773,"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":[99,615,1131],"clock_positions":[99,615,1131],"native_values":[546,31,196],"rotation_degrees":23.023255813953487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,31,196],"beta":{"interval_sums":[192899,208338,194746],"interval_residues":[422,401,723],"display_cycle":[422,401,723],"intervals":[{"from_index":99,"to_index":615,"sum":192899,"residue":422},{"from_index":615,"to_index":1131,"sum":208338,"residue":401},{"from_index":1131,"to_index":99,"sum":194746,"residue":723}],"minimal_cycle":[422,401,723],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[99,615],"circle_positions":773,"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":[100,616,1132],"clock_positions":[100,616,1132],"native_values":[499,694,353],"rotation_degrees":23.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,694,353],"beta":{"interval_sums":[192431,207840,194939],"interval_residues":[727,676,143],"display_cycle":[727,676,143],"intervals":[{"from_index":100,"to_index":616,"sum":192431,"residue":727},{"from_index":616,"to_index":1132,"sum":207840,"residue":676},{"from_index":1132,"to_index":100,"sum":194939,"residue":143}],"minimal_cycle":[727,676,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":727,"start_interval_clock_positions":[100,616],"circle_positions":773,"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":[101,617,1133],"clock_positions":[101,617,1133],"native_values":[272,725,549],"rotation_degrees":23.488372093023255,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,725,549],"beta":{"interval_sums":[192853,207468,194889],"interval_residues":[376,304,93],"display_cycle":[376,304,93],"intervals":[{"from_index":101,"to_index":617,"sum":192853,"residue":376},{"from_index":617,"to_index":1133,"sum":207468,"residue":304},{"from_index":1133,"to_index":101,"sum":194889,"residue":93}],"minimal_cycle":[376,304,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[101,617],"circle_positions":773,"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":[102,618,1134],"clock_positions":[102,618,1134],"native_values":[771,646,129],"rotation_degrees":23.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,646,129],"beta":{"interval_sums":[192807,207371,195032],"interval_residues":[330,207,236],"display_cycle":[330,207,236],"intervals":[{"from_index":102,"to_index":618,"sum":192807,"residue":330},{"from_index":618,"to_index":1134,"sum":207371,"residue":207},{"from_index":1134,"to_index":102,"sum":195032,"residue":236}],"minimal_cycle":[330,207,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[102,618],"circle_positions":773,"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":[103,619,1135],"clock_positions":[103,619,1135],"native_values":[270,598,678],"rotation_degrees":23.953488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,598,678],"beta":{"interval_sums":[193183,206902,195125],"interval_residues":[706,511,329],"display_cycle":[706,511,329],"intervals":[{"from_index":103,"to_index":619,"sum":193183,"residue":706},{"from_index":619,"to_index":1135,"sum":206902,"residue":511},{"from_index":1135,"to_index":103,"sum":195125,"residue":329}],"minimal_cycle":[706,511,329],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[103,619],"circle_positions":773,"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":[104,620,1136],"clock_positions":[104,620,1136],"native_values":[268,471,34],"rotation_degrees":24.186046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,471,34],"beta":{"interval_sums":[193513,207109,195361],"interval_residues":[263,718,565],"display_cycle":[263,718,565],"intervals":[{"from_index":104,"to_index":620,"sum":193513,"residue":263},{"from_index":620,"to_index":1136,"sum":207109,"residue":718},{"from_index":1136,"to_index":104,"sum":195361,"residue":565}],"minimal_cycle":[263,718,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[104,620],"circle_positions":773,"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":[105,621,1137],"clock_positions":[105,621,1137],"native_values":[538,296,712],"rotation_degrees":24.41860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,296,712],"beta":{"interval_sums":[193446,206847,194917],"interval_residues":[196,456,121],"display_cycle":[196,456,121],"intervals":[{"from_index":105,"to_index":621,"sum":193446,"residue":196},{"from_index":621,"to_index":1137,"sum":206847,"residue":456},{"from_index":1137,"to_index":105,"sum":194917,"residue":121}],"minimal_cycle":[196,456,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[105,621],"circle_positions":773,"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":[106,622,1138],"clock_positions":[106,622,1138],"native_values":[33,767,746],"rotation_degrees":24.651162790697676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,767,746],"beta":{"interval_sums":[193709,206792,194709],"interval_residues":[459,401,686],"display_cycle":[459,401,686],"intervals":[{"from_index":106,"to_index":622,"sum":193709,"residue":459},{"from_index":622,"to_index":1138,"sum":206792,"residue":401},{"from_index":1138,"to_index":106,"sum":194709,"residue":686}],"minimal_cycle":[459,401,686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":459,"start_interval_clock_positions":[106,622],"circle_positions":773,"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":[107,623,1139],"clock_positions":[107,623,1139],"native_values":[571,290,685],"rotation_degrees":24.88372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,290,685],"beta":{"interval_sums":[193905,207248,194057],"interval_residues":[655,84,34],"display_cycle":[655,84,34],"intervals":[{"from_index":107,"to_index":623,"sum":193905,"residue":655},{"from_index":623,"to_index":1139,"sum":207248,"residue":84},{"from_index":1139,"to_index":107,"sum":194057,"residue":34}],"minimal_cycle":[655,84,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[107,623],"circle_positions":773,"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":[108,624,1140],"clock_positions":[108,624,1140],"native_values":[604,284,658],"rotation_degrees":25.11627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,284,658],"beta":{"interval_sums":[193591,207649,193970],"interval_residues":[341,485,720],"display_cycle":[341,485,720],"intervals":[{"from_index":108,"to_index":624,"sum":193591,"residue":341},{"from_index":624,"to_index":1140,"sum":207649,"residue":485},{"from_index":1140,"to_index":108,"sum":193970,"residue":720}],"minimal_cycle":[341,485,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[108,624],"circle_positions":773,"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":[109,625,1141],"clock_positions":[109,625,1141],"native_values":[402,574,570],"rotation_degrees":25.348837209302324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,574,570],"beta":{"interval_sums":[193473,207733,194004],"interval_residues":[223,569,754],"display_cycle":[223,569,754],"intervals":[{"from_index":109,"to_index":625,"sum":193473,"residue":223},{"from_index":625,"to_index":1141,"sum":207733,"residue":569},{"from_index":1141,"to_index":109,"sum":194004,"residue":754}],"minimal_cycle":[223,569,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[109,625],"circle_positions":773,"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":[110,626,1142],"clock_positions":[110,626,1142],"native_values":[233,85,455],"rotation_degrees":25.58139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,85,455],"beta":{"interval_sums":[193814,208218,193951],"interval_residues":[564,281,701],"display_cycle":[564,281,701],"intervals":[{"from_index":110,"to_index":626,"sum":193814,"residue":564},{"from_index":626,"to_index":1142,"sum":208218,"residue":281},{"from_index":1142,"to_index":110,"sum":193951,"residue":701}],"minimal_cycle":[564,281,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[110,626],"circle_positions":773,"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":[111,627,1143],"clock_positions":[111,627,1143],"native_values":[635,659,252],"rotation_degrees":25.813953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,659,252],"beta":{"interval_sums":[193264,208014,193932],"interval_residues":[14,77,682],"display_cycle":[14,77,682],"intervals":[{"from_index":111,"to_index":627,"sum":193264,"residue":14},{"from_index":627,"to_index":1143,"sum":208014,"residue":77},{"from_index":1143,"to_index":111,"sum":193932,"residue":682}],"minimal_cycle":[14,77,682],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[111,627],"circle_positions":773,"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":[112,628,1144],"clock_positions":[112,628,1144],"native_values":[95,744,707],"rotation_degrees":26.046511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,744,707],"beta":{"interval_sums":[193828,207522,193860],"interval_residues":[578,358,610],"display_cycle":[578,358,610],"intervals":[{"from_index":112,"to_index":628,"sum":193828,"residue":578},{"from_index":628,"to_index":1144,"sum":207522,"residue":358},{"from_index":1144,"to_index":112,"sum":193860,"residue":610}],"minimal_cycle":[578,358,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[112,628],"circle_positions":773,"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":[113,629,1145],"clock_positions":[113,629,1145],"native_values":[730,630,186],"rotation_degrees":26.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,630,186],"beta":{"interval_sums":[193842,207599,193769],"interval_residues":[592,435,519],"display_cycle":[592,435,519],"intervals":[{"from_index":113,"to_index":629,"sum":193842,"residue":592},{"from_index":629,"to_index":1145,"sum":207599,"residue":435},{"from_index":1145,"to_index":113,"sum":193769,"residue":519}],"minimal_cycle":[592,435,519],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[113,629],"circle_positions":773,"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":[114,630,1146],"clock_positions":[114,630,1146],"native_values":[52,601,120],"rotation_degrees":26.511627906976745,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,601,120],"beta":{"interval_sums":[194420,207184,194379],"interval_residues":[397,20,356],"display_cycle":[397,20,356],"intervals":[{"from_index":114,"to_index":630,"sum":194420,"residue":397},{"from_index":630,"to_index":1146,"sum":207184,"residue":20},{"from_index":1146,"to_index":114,"sum":194379,"residue":356}],"minimal_cycle":[397,20,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[114,630],"circle_positions":773,"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":[115,631,1147],"clock_positions":[115,631,1147],"native_values":[9,458,306],"rotation_degrees":26.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,458,306],"beta":{"interval_sums":[195012,206846,194125],"interval_residues":[216,455,102],"display_cycle":[216,455,102],"intervals":[{"from_index":115,"to_index":631,"sum":195012,"residue":216},{"from_index":631,"to_index":1147,"sum":206846,"residue":455},{"from_index":1147,"to_index":115,"sum":194125,"residue":102}],"minimal_cycle":[216,455,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[115,631],"circle_positions":773,"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":[116,632,1148],"clock_positions":[116,632,1148],"native_values":[61,286,426],"rotation_degrees":26.976744186046513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,286,426],"beta":{"interval_sums":[195409,206866,193708],"interval_residues":[613,475,458],"display_cycle":[613,475,458],"intervals":[{"from_index":116,"to_index":632,"sum":195409,"residue":613},{"from_index":632,"to_index":1148,"sum":206866,"residue":475},{"from_index":1148,"to_index":116,"sum":193708,"residue":458}],"minimal_cycle":[613,475,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[116,632],"circle_positions":773,"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":[117,633,1149],"clock_positions":[117,633,1149],"native_values":[70,744,732],"rotation_degrees":27.209302325581394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,744,732],"beta":{"interval_sums":[195625,206548,193037],"interval_residues":[56,157,560],"display_cycle":[56,157,560],"intervals":[{"from_index":117,"to_index":633,"sum":195625,"residue":56},{"from_index":633,"to_index":1149,"sum":206548,"residue":157},{"from_index":1149,"to_index":117,"sum":193037,"residue":560}],"minimal_cycle":[56,157,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[117,633],"circle_positions":773,"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":[118,634,1150],"clock_positions":[118,634,1150],"native_values":[131,257,385],"rotation_degrees":27.441860465116278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,257,385],"beta":{"interval_sums":[196238,207023,192722],"interval_residues":[669,632,245],"display_cycle":[669,632,245],"intervals":[{"from_index":118,"to_index":634,"sum":196238,"residue":669},{"from_index":634,"to_index":1150,"sum":207023,"residue":632},{"from_index":1150,"to_index":118,"sum":192722,"residue":245}],"minimal_cycle":[669,632,245],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[118,634],"circle_positions":773,"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":[119,635,1151],"clock_positions":[119,635,1151],"native_values":[201,228,344],"rotation_degrees":27.674418604651162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,228,344],"beta":{"interval_sums":[196294,207180,192509],"interval_residues":[725,16,32],"display_cycle":[725,16,32],"intervals":[{"from_index":119,"to_index":635,"sum":196294,"residue":725},{"from_index":635,"to_index":1151,"sum":207180,"residue":16},{"from_index":1151,"to_index":119,"sum":192509,"residue":32}],"minimal_cycle":[725,16,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":725,"start_interval_clock_positions":[119,635],"circle_positions":773,"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":[120,636,1152],"clock_positions":[120,636,1152],"native_values":[332,485,729],"rotation_degrees":27.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,485,729],"beta":{"interval_sums":[196190,207039,191981],"interval_residues":[621,648,277],"display_cycle":[621,648,277],"intervals":[{"from_index":120,"to_index":636,"sum":196190,"residue":621},{"from_index":636,"to_index":1152,"sum":207039,"residue":648},{"from_index":1152,"to_index":120,"sum":191981,"residue":277}],"minimal_cycle":[621,648,277],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":621,"start_interval_clock_positions":[120,636],"circle_positions":773,"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":[121,637,1153],"clock_positions":[121,637,1153],"native_values":[533,713,300],"rotation_degrees":28.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,713,300],"beta":{"interval_sums":[196142,207055,192013],"interval_residues":[573,664,309],"display_cycle":[573,664,309],"intervals":[{"from_index":121,"to_index":637,"sum":196142,"residue":573},{"from_index":637,"to_index":1153,"sum":207055,"residue":664},{"from_index":1153,"to_index":121,"sum":192013,"residue":309}],"minimal_cycle":[573,664,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[121,637],"circle_positions":773,"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":[122,638,1154],"clock_positions":[122,638,1154],"native_values":[92,425,256],"rotation_degrees":28.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,425,256],"beta":{"interval_sums":[196763,206930,192290],"interval_residues":[421,539,586],"display_cycle":[421,539,586],"intervals":[{"from_index":122,"to_index":638,"sum":196763,"residue":421},{"from_index":638,"to_index":1154,"sum":206930,"residue":539},{"from_index":1154,"to_index":122,"sum":192290,"residue":586}],"minimal_cycle":[421,539,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[122,638],"circle_positions":773,"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":[123,639,1155],"clock_positions":[123,639,1155],"native_values":[625,365,556],"rotation_degrees":28.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,365,556],"beta":{"interval_sums":[196563,206821,191826],"interval_residues":[221,430,122],"display_cycle":[221,430,122],"intervals":[{"from_index":123,"to_index":639,"sum":196563,"residue":221},{"from_index":639,"to_index":1155,"sum":206821,"residue":430},{"from_index":1155,"to_index":123,"sum":191826,"residue":122}],"minimal_cycle":[221,430,122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[123,639],"circle_positions":773,"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":[124,640,1156],"clock_positions":[124,640,1156],"native_values":[717,17,39],"rotation_degrees":28.837209302325583,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,17,39],"beta":{"interval_sums":[196211,207360,192412],"interval_residues":[642,196,708],"display_cycle":[642,196,708],"intervals":[{"from_index":124,"to_index":640,"sum":196211,"residue":642},{"from_index":640,"to_index":1156,"sum":207360,"residue":196},{"from_index":1156,"to_index":124,"sum":192412,"residue":708}],"minimal_cycle":[642,196,708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[124,640],"circle_positions":773,"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":[125,641,1157],"clock_positions":[125,641,1157],"native_values":[569,382,595],"rotation_degrees":29.069767441860463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,382,595],"beta":{"interval_sums":[195659,207017,192534],"interval_residues":[90,626,57],"display_cycle":[90,626,57],"intervals":[{"from_index":125,"to_index":641,"sum":195659,"residue":90},{"from_index":641,"to_index":1157,"sum":207017,"residue":626},{"from_index":1157,"to_index":125,"sum":192534,"residue":57}],"minimal_cycle":[90,626,57],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[125,641],"circle_positions":773,"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":[126,642,1158],"clock_positions":[126,642,1158],"native_values":[513,399,634],"rotation_degrees":29.302325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,399,634],"beta":{"interval_sums":[195528,207213,192469],"interval_residues":[732,49,765],"display_cycle":[732,49,765],"intervals":[{"from_index":126,"to_index":642,"sum":195528,"residue":732},{"from_index":642,"to_index":1158,"sum":207213,"residue":49},{"from_index":1158,"to_index":126,"sum":192469,"residue":765}],"minimal_cycle":[732,49,765],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[126,642],"circle_positions":773,"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":[127,643,1159],"clock_positions":[127,643,1159],"native_values":[309,8,456],"rotation_degrees":29.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,8,456],"beta":{"interval_sums":[195618,207839,192526],"interval_residues":[49,675,49],"display_cycle":[49,675,49],"intervals":[{"from_index":127,"to_index":643,"sum":195618,"residue":49},{"from_index":643,"to_index":1159,"sum":207839,"residue":675},{"from_index":1159,"to_index":127,"sum":192526,"residue":49}],"minimal_cycle":[49,675,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":49,"start_interval_clock_positions":[127,643],"circle_positions":773,"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":[128,644,1160],"clock_positions":[128,644,1160],"native_values":[49,407,317],"rotation_degrees":29.767441860465116,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,407,317],"beta":{"interval_sums":[195577,207888,192518],"interval_residues":[8,724,41],"display_cycle":[8,724,41],"intervals":[{"from_index":128,"to_index":644,"sum":195577,"residue":8},{"from_index":644,"to_index":1160,"sum":207888,"residue":724},{"from_index":1160,"to_index":128,"sum":192518,"residue":41}],"minimal_cycle":[8,724,41],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[128,644],"circle_positions":773,"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":[129,645,1161],"clock_positions":[129,645,1161],"native_values":[358,415,773],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,415,773],"beta":{"interval_sums":[195626,207790,192567],"interval_residues":[57,626,90],"display_cycle":[57,626,90],"intervals":[{"from_index":129,"to_index":645,"sum":195626,"residue":57},{"from_index":645,"to_index":1161,"sum":207790,"residue":626},{"from_index":1161,"to_index":129,"sum":192567,"residue":90}],"minimal_cycle":[57,626,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[129,645],"circle_positions":773,"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":[130,646,1162],"clock_positions":[130,646,1162],"native_values":[407,49,317],"rotation_degrees":30.232558139534884,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,49,317],"beta":{"interval_sums":[195634,207741,192608],"interval_residues":[65,577,131],"display_cycle":[65,577,131],"intervals":[{"from_index":130,"to_index":646,"sum":195634,"residue":65},{"from_index":646,"to_index":1162,"sum":207741,"residue":577},{"from_index":1162,"to_index":130,"sum":192608,"residue":131}],"minimal_cycle":[65,577,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[130,646],"circle_positions":773,"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":[131,647,1163],"clock_positions":[131,647,1163],"native_values":[765,464,317],"rotation_degrees":30.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,464,317],"beta":{"interval_sums":[194918,207594,192698],"interval_residues":[122,430,221],"display_cycle":[122,430,221],"intervals":[{"from_index":131,"to_index":647,"sum":194918,"residue":122},{"from_index":647,"to_index":1163,"sum":207594,"residue":430},{"from_index":1163,"to_index":131,"sum":192698,"residue":221}],"minimal_cycle":[122,430,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[131,647],"circle_positions":773,"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":[132,648,1164],"clock_positions":[132,648,1164],"native_values":[399,513,634],"rotation_degrees":30.697674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,513,634],"beta":{"interval_sums":[194983,207398,192829],"interval_residues":[187,234,352],"display_cycle":[187,234,352],"intervals":[{"from_index":132,"to_index":648,"sum":194983,"residue":187},{"from_index":648,"to_index":1164,"sum":207398,"residue":234},{"from_index":1164,"to_index":132,"sum":192829,"residue":352}],"minimal_cycle":[187,234,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[132,648],"circle_positions":773,"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":[133,649,1165],"clock_positions":[133,649,1165],"native_values":[391,204,178],"rotation_degrees":30.930232558139537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,204,178],"beta":{"interval_sums":[195105,207828,193050],"interval_residues":[309,664,573],"display_cycle":[309,664,573],"intervals":[{"from_index":133,"to_index":649,"sum":195105,"residue":309},{"from_index":649,"to_index":1165,"sum":207828,"residue":664},{"from_index":1165,"to_index":133,"sum":193050,"residue":573}],"minimal_cycle":[309,664,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[133,649],"circle_positions":773,"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":[134,650,1166],"clock_positions":[134,650,1166],"native_values":[17,717,39],"rotation_degrees":31.162790697674417,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,717,39],"beta":{"interval_sums":[195292,207289,193402],"interval_residues":[496,125,152],"display_cycle":[496,125,152],"intervals":[{"from_index":134,"to_index":650,"sum":195292,"residue":496},{"from_index":650,"to_index":1166,"sum":207289,"residue":125},{"from_index":1166,"to_index":134,"sum":193402,"residue":152}],"minimal_cycle":[496,125,152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[134,650],"circle_positions":773,"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":[135,651,1167],"clock_positions":[135,651,1167],"native_values":[408,148,217],"rotation_degrees":31.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,148,217],"beta":{"interval_sums":[195601,207180,193202],"interval_residues":[32,16,725],"display_cycle":[32,16,725],"intervals":[{"from_index":135,"to_index":651,"sum":195601,"residue":32},{"from_index":651,"to_index":1167,"sum":207180,"residue":16},{"from_index":1167,"to_index":135,"sum":193202,"residue":725}],"minimal_cycle":[32,16,725],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[135,651],"circle_positions":773,"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":[136,652,1168],"clock_positions":[136,652,1168],"native_values":[425,92,256],"rotation_degrees":31.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,92,256],"beta":{"interval_sums":[195324,207305,193354],"interval_residues":[528,141,104],"display_cycle":[528,141,104],"intervals":[{"from_index":136,"to_index":652,"sum":195324,"residue":528},{"from_index":652,"to_index":1168,"sum":207305,"residue":141},{"from_index":1168,"to_index":136,"sum":193354,"residue":104}],"minimal_cycle":[528,141,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[136,652],"circle_positions":773,"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":[137,653,1169],"clock_positions":[137,653,1169],"native_values":[60,240,473],"rotation_degrees":31.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,240,473],"beta":{"interval_sums":[195356,207321,193306],"interval_residues":[560,157,56],"display_cycle":[560,157,56],"intervals":[{"from_index":137,"to_index":653,"sum":195356,"residue":560},{"from_index":653,"to_index":1169,"sum":207321,"residue":157},{"from_index":1169,"to_index":137,"sum":193306,"residue":56}],"minimal_cycle":[560,157,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[137,653],"circle_positions":773,"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":[138,654,1170],"clock_positions":[138,654,1170],"native_values":[485,332,729],"rotation_degrees":32.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,332,729],"beta":{"interval_sums":[195111,207462,192637],"interval_residues":[315,298,160],"display_cycle":[315,298,160],"intervals":[{"from_index":138,"to_index":654,"sum":195111,"residue":315},{"from_index":654,"to_index":1170,"sum":207462,"residue":298},{"from_index":1170,"to_index":138,"sum":192637,"residue":160}],"minimal_cycle":[315,298,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[138,654],"circle_positions":773,"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":[139,655,1171],"clock_positions":[139,655,1171],"native_values":[545,572,429],"rotation_degrees":32.325581395348834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,572,429],"beta":{"interval_sums":[194898,207619,192693],"interval_residues":[102,455,216],"display_cycle":[102,455,216],"intervals":[{"from_index":139,"to_index":655,"sum":194898,"residue":102},{"from_index":655,"to_index":1171,"sum":207619,"residue":455},{"from_index":1171,"to_index":139,"sum":192693,"residue":216}],"minimal_cycle":[102,455,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[139,655],"circle_positions":773,"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":[140,656,1172],"clock_positions":[140,656,1172],"native_values":[257,131,385],"rotation_degrees":32.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,131,385],"beta":{"interval_sums":[195213,207917,192853],"interval_residues":[417,753,376],"display_cycle":[417,753,376],"intervals":[{"from_index":140,"to_index":656,"sum":195213,"residue":417},{"from_index":656,"to_index":1172,"sum":207917,"residue":753},{"from_index":1172,"to_index":140,"sum":192853,"residue":376}],"minimal_cycle":[417,753,376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[140,656],"circle_positions":773,"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":[141,657,1173],"clock_positions":[141,657,1173],"native_values":[29,703,41],"rotation_degrees":32.7906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,703,41],"beta":{"interval_sums":[195315,207599,193069],"interval_residues":[519,435,592],"display_cycle":[519,435,592],"intervals":[{"from_index":141,"to_index":657,"sum":195315,"residue":519},{"from_index":657,"to_index":1173,"sum":207599,"residue":435},{"from_index":1173,"to_index":141,"sum":193069,"residue":592}],"minimal_cycle":[519,435,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[141,657],"circle_positions":773,"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":[142,658,1174],"clock_positions":[142,658,1174],"native_values":[286,61,426],"rotation_degrees":33.02325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,61,426],"beta":{"interval_sums":[195732,207579,192672],"interval_residues":[163,415,195],"display_cycle":[163,415,195],"intervals":[{"from_index":142,"to_index":658,"sum":195732,"residue":163},{"from_index":658,"to_index":1174,"sum":207579,"residue":415},{"from_index":1174,"to_index":142,"sum":192672,"residue":195}],"minimal_cycle":[163,415,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[142,658],"circle_positions":773,"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":[143,659,1175],"clock_positions":[143,659,1175],"native_values":[315,764,467],"rotation_degrees":33.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,764,467],"beta":{"interval_sums":[195478,207241,192491],"interval_residues":[682,77,14],"display_cycle":[682,77,14],"intervals":[{"from_index":143,"to_index":659,"sum":195478,"residue":682},{"from_index":659,"to_index":1175,"sum":207241,"residue":77},{"from_index":1175,"to_index":143,"sum":192491,"residue":14}],"minimal_cycle":[682,77,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":682,"start_interval_clock_positions":[143,659],"circle_positions":773,"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":[144,660,1176],"clock_positions":[144,660,1176],"native_values":[601,52,120],"rotation_degrees":33.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,52,120],"beta":{"interval_sums":[195641,207656,192686],"interval_residues":[72,492,209],"display_cycle":[72,492,209],"intervals":[{"from_index":144,"to_index":660,"sum":195641,"residue":72},{"from_index":660,"to_index":1176,"sum":207656,"residue":492},{"from_index":1176,"to_index":144,"sum":192686,"residue":209}],"minimal_cycle":[72,492,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[144,660],"circle_positions":773,"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":[145,661,1177],"clock_positions":[145,661,1177],"native_values":[143,43,587],"rotation_degrees":33.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,43,587],"beta":{"interval_sums":[195550,207733,192700],"interval_residues":[754,569,223],"display_cycle":[754,569,223],"intervals":[{"from_index":145,"to_index":661,"sum":195550,"residue":754},{"from_index":661,"to_index":1177,"sum":207733,"residue":569},{"from_index":1177,"to_index":145,"sum":192700,"residue":223}],"minimal_cycle":[754,569,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":754,"start_interval_clock_positions":[145,661],"circle_positions":773,"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":[146,662,1178],"clock_positions":[146,662,1178],"native_values":[744,95,707],"rotation_degrees":33.95348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,95,707],"beta":{"interval_sums":[194849,208225,192136],"interval_residues":[53,288,432],"display_cycle":[53,288,432],"intervals":[{"from_index":146,"to_index":662,"sum":194849,"residue":53},{"from_index":662,"to_index":1178,"sum":208225,"residue":288},{"from_index":1178,"to_index":146,"sum":192136,"residue":432}],"minimal_cycle":[53,288,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[146,662],"circle_positions":773,"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":[147,663,1179],"clock_positions":[147,663,1179],"native_values":[114,138,521],"rotation_degrees":34.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,138,521],"beta":{"interval_sums":[194830,208794,192359],"interval_residues":[34,84,655],"display_cycle":[34,84,655],"intervals":[{"from_index":147,"to_index":663,"sum":194830,"residue":34},{"from_index":663,"to_index":1179,"sum":208794,"residue":84},{"from_index":1179,"to_index":147,"sum":192359,"residue":655}],"minimal_cycle":[34,84,655],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[147,663],"circle_positions":773,"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":[148,664,1180],"clock_positions":[148,664,1180],"native_values":[85,233,455],"rotation_degrees":34.41860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,233,455],"beta":{"interval_sums":[194883,209082,192018],"interval_residues":[87,372,314],"display_cycle":[87,372,314],"intervals":[{"from_index":148,"to_index":664,"sum":194883,"residue":87},{"from_index":664,"to_index":1180,"sum":209082,"residue":372},{"from_index":1180,"to_index":148,"sum":192018,"residue":314}],"minimal_cycle":[87,372,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[148,664],"circle_positions":773,"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":[149,665,1181],"clock_positions":[149,665,1181],"native_values":[199,371,203],"rotation_degrees":34.651162790697676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,371,203],"beta":{"interval_sums":[194917,209166,191900],"interval_residues":[121,456,196],"display_cycle":[121,456,196],"intervals":[{"from_index":149,"to_index":665,"sum":194917,"residue":121},{"from_index":665,"to_index":1181,"sum":209166,"residue":456},{"from_index":1181,"to_index":149,"sum":191900,"residue":196}],"minimal_cycle":[121,456,196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[149,665],"circle_positions":773,"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":[150,666,1182],"clock_positions":[150,666,1182],"native_values":[284,604,658],"rotation_degrees":34.883720930232556,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,604,658],"beta":{"interval_sums":[195004,208765,191441],"interval_residues":[208,55,510],"display_cycle":[208,55,510],"intervals":[{"from_index":150,"to_index":666,"sum":195004,"residue":208},{"from_index":666,"to_index":1182,"sum":208765,"residue":55},{"from_index":1182,"to_index":150,"sum":191441,"residue":510}],"minimal_cycle":[208,55,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[150,666],"circle_positions":773,"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":[151,667,1183],"clock_positions":[151,667,1183],"native_values":[483,202,88],"rotation_degrees":35.116279069767444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,202,88],"beta":{"interval_sums":[195125,209221,191637],"interval_residues":[329,511,706],"display_cycle":[329,511,706],"intervals":[{"from_index":151,"to_index":667,"sum":195125,"residue":329},{"from_index":667,"to_index":1183,"sum":209221,"residue":511},{"from_index":1183,"to_index":151,"sum":191637,"residue":706}],"minimal_cycle":[329,511,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":329,"start_interval_clock_positions":[151,667],"circle_positions":773,"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":[152,668,1184],"clock_positions":[152,668,1184],"native_values":[767,33,746],"rotation_degrees":35.348837209302324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,33,746],"beta":{"interval_sums":[194560,209276,191374],"interval_residues":[537,566,443],"display_cycle":[537,566,443],"intervals":[{"from_index":152,"to_index":668,"sum":194560,"residue":537},{"from_index":668,"to_index":1184,"sum":209276,"residue":566},{"from_index":1184,"to_index":152,"sum":191374,"residue":443}],"minimal_cycle":[537,566,443],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[152,668],"circle_positions":773,"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":[153,669,1185],"clock_positions":[153,669,1185],"native_values":[477,235,61],"rotation_degrees":35.58139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,235,61],"beta":{"interval_sums":[194116,209787,192080],"interval_residues":[93,304,376],"display_cycle":[93,304,376],"intervals":[{"from_index":153,"to_index":669,"sum":194116,"residue":93},{"from_index":669,"to_index":1185,"sum":209787,"residue":304},{"from_index":1185,"to_index":153,"sum":192080,"residue":376}],"minimal_cycle":[93,304,376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[153,669],"circle_positions":773,"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":[154,670,1186],"clock_positions":[154,670,1186],"native_values":[471,268,34],"rotation_degrees":35.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,268,34],"beta":{"interval_sums":[193880,209580,192523],"interval_residues":[630,97,46],"display_cycle":[630,97,46],"intervals":[{"from_index":154,"to_index":670,"sum":193880,"residue":630},{"from_index":670,"to_index":1186,"sum":209580,"residue":97},{"from_index":1186,"to_index":154,"sum":192523,"residue":46}],"minimal_cycle":[630,97,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[154,670],"circle_positions":773,"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":[155,671,1187],"clock_positions":[155,671,1187],"native_values":[175,503,95],"rotation_degrees":36.04651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,503,95],"beta":{"interval_sums":[193973,209111,192899],"interval_residues":[723,401,422],"display_cycle":[723,401,422],"intervals":[{"from_index":155,"to_index":671,"sum":193973,"residue":723},{"from_index":671,"to_index":1187,"sum":209111,"residue":401},{"from_index":1187,"to_index":155,"sum":192899,"residue":422}],"minimal_cycle":[723,401,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":723,"start_interval_clock_positions":[155,671],"circle_positions":773,"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":[156,672,1188],"clock_positions":[156,672,1188],"native_values":[646,771,129],"rotation_degrees":36.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,771,129],"beta":{"interval_sums":[193830,208435,192945],"interval_residues":[580,498,468],"display_cycle":[580,498,468],"intervals":[{"from_index":156,"to_index":672,"sum":193830,"residue":580},{"from_index":672,"to_index":1188,"sum":208435,"residue":498},{"from_index":1188,"to_index":156,"sum":192945,"residue":468}],"minimal_cycle":[580,498,468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[156,672],"circle_positions":773,"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":[157,673,1189],"clock_positions":[157,673,1189],"native_values":[48,501,224],"rotation_degrees":36.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,501,224],"beta":{"interval_sums":[194553,208063,193367],"interval_residues":[530,126,117],"display_cycle":[530,126,117],"intervals":[{"from_index":157,"to_index":673,"sum":194553,"residue":530},{"from_index":673,"to_index":1189,"sum":208063,"residue":126},{"from_index":1189,"to_index":157,"sum":193367,"residue":117}],"minimal_cycle":[530,126,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[157,673],"circle_positions":773,"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":[158,674,1190],"clock_positions":[158,674,1190],"native_values":[694,499,353],"rotation_degrees":36.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,499,353],"beta":{"interval_sums":[194360,207788,193062],"interval_residues":[337,624,585],"display_cycle":[337,624,585],"intervals":[{"from_index":158,"to_index":674,"sum":194360,"residue":337},{"from_index":674,"to_index":1190,"sum":207788,"residue":624},{"from_index":1190,"to_index":158,"sum":193062,"residue":585}],"minimal_cycle":[337,624,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[158,674],"circle_positions":773,"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":[159,675,1191],"clock_positions":[159,675,1191],"native_values":[742,227,577],"rotation_degrees":36.97674418604651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[742,227,577],"beta":{"interval_sums":[194117,207914,193179],"interval_residues":[94,750,702],"display_cycle":[94,750,702],"intervals":[{"from_index":159,"to_index":675,"sum":194117,"residue":94},{"from_index":675,"to_index":1191,"sum":207914,"residue":750},{"from_index":1191,"to_index":159,"sum":193179,"residue":702}],"minimal_cycle":[94,750,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[159,675],"circle_positions":773,"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":[160,676,1192],"clock_positions":[160,676,1192],"native_values":[663,726,157],"rotation_degrees":37.2093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,726,157],"beta":{"interval_sums":[193681,207765,193764],"interval_residues":[431,601,514],"display_cycle":[431,601,514],"intervals":[{"from_index":160,"to_index":676,"sum":193681,"residue":431},{"from_index":676,"to_index":1192,"sum":207765,"residue":601},{"from_index":1192,"to_index":160,"sum":193764,"residue":514}],"minimal_cycle":[431,601,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[160,676],"circle_positions":773,"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":[161,677,1193],"clock_positions":[161,677,1193],"native_values":[632,180,734],"rotation_degrees":37.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,180,734],"beta":{"interval_sums":[193775,207742,193693],"interval_residues":[525,578,443],"display_cycle":[525,578,443],"intervals":[{"from_index":161,"to_index":677,"sum":193775,"residue":525},{"from_index":677,"to_index":1193,"sum":207742,"residue":578},{"from_index":1193,"to_index":161,"sum":193693,"residue":443}],"minimal_cycle":[525,578,443],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[161,677],"circle_positions":773,"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":[162,678,1194],"clock_positions":[162,678,1194],"native_values":[522,133,118],"rotation_degrees":37.674418604651166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,133,118],"beta":{"interval_sums":[193433,208343,194207],"interval_residues":[183,406,184],"display_cycle":[183,406,184],"intervals":[{"from_index":162,"to_index":678,"sum":193433,"residue":183},{"from_index":678,"to_index":1194,"sum":208343,"residue":406},{"from_index":1194,"to_index":162,"sum":194207,"residue":184}],"minimal_cycle":[183,406,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[162,678],"circle_positions":773,"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":[163,679,1195],"clock_positions":[163,679,1195],"native_values":[381,313,79],"rotation_degrees":37.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,313,79],"beta":{"interval_sums":[193185,208148,194650],"interval_residues":[708,211,627],"display_cycle":[708,211,627],"intervals":[{"from_index":163,"to_index":679,"sum":193185,"residue":708},{"from_index":679,"to_index":1195,"sum":208148,"residue":211},{"from_index":1195,"to_index":163,"sum":194650,"residue":627}],"minimal_cycle":[708,211,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[163,679],"circle_positions":773,"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":[164,680,1196],"clock_positions":[164,680,1196],"native_values":[130,446,197],"rotation_degrees":38.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,446,197],"beta":{"interval_sums":[193368,207781,194834],"interval_residues":[118,617,38],"display_cycle":[118,617,38],"intervals":[{"from_index":164,"to_index":680,"sum":193368,"residue":118},{"from_index":680,"to_index":1196,"sum":207781,"residue":617},{"from_index":1196,"to_index":164,"sum":194834,"residue":38}],"minimal_cycle":[118,617,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[164,680],"circle_positions":773,"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":[165,681,1197],"clock_positions":[165,681,1197],"native_values":[511,759,276],"rotation_degrees":38.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,759,276],"beta":{"interval_sums":[193303,207219,194688],"interval_residues":[53,55,665],"display_cycle":[53,55,665],"intervals":[{"from_index":165,"to_index":681,"sum":193303,"residue":53},{"from_index":681,"to_index":1197,"sum":207219,"residue":55},{"from_index":1197,"to_index":165,"sum":194688,"residue":665}],"minimal_cycle":[53,55,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[165,681],"circle_positions":773,"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":[166,682,1198],"clock_positions":[166,682,1198],"native_values":[641,432,473],"rotation_degrees":38.604651162790695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,432,473],"beta":{"interval_sums":[193421,207063,194726],"interval_residues":[171,672,703],"display_cycle":[171,672,703],"intervals":[{"from_index":166,"to_index":682,"sum":193421,"residue":171},{"from_index":682,"to_index":1198,"sum":207063,"residue":672},{"from_index":1198,"to_index":166,"sum":194726,"residue":703}],"minimal_cycle":[171,672,703],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[166,682],"circle_positions":773,"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":[167,683,1199],"clock_positions":[167,683,1199],"native_values":[379,418,749],"rotation_degrees":38.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,418,749],"beta":{"interval_sums":[193474,207118,194618],"interval_residues":[224,727,595],"display_cycle":[224,727,595],"intervals":[{"from_index":167,"to_index":683,"sum":193474,"residue":224},{"from_index":683,"to_index":1199,"sum":207118,"residue":727},{"from_index":1199,"to_index":167,"sum":194618,"residue":595}],"minimal_cycle":[224,727,595],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[167,683],"circle_positions":773,"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":[168,684,1200],"clock_positions":[168,684,1200],"native_values":[247,77,449],"rotation_degrees":39.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,77,449],"beta":{"interval_sums":[193645,207790,194548],"interval_residues":[395,626,525],"display_cycle":[395,626,525],"intervals":[{"from_index":168,"to_index":684,"sum":193645,"residue":395},{"from_index":684,"to_index":1200,"sum":207790,"residue":626},{"from_index":1200,"to_index":168,"sum":194548,"residue":525}],"minimal_cycle":[395,626,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[168,684],"circle_positions":773,"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":[169,685,1201],"clock_positions":[169,685,1201],"native_values":[626,495,425],"rotation_degrees":39.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,495,425],"beta":{"interval_sums":[193096,207744,194370],"interval_residues":[619,580,347],"display_cycle":[619,580,347],"intervals":[{"from_index":169,"to_index":685,"sum":193096,"residue":619},{"from_index":685,"to_index":1201,"sum":207744,"residue":580},{"from_index":1201,"to_index":169,"sum":194370,"residue":347}],"minimal_cycle":[619,580,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":619,"start_interval_clock_positions":[169,685],"circle_positions":773,"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":[170,686,1202],"clock_positions":[170,686,1202],"native_values":[100,572,101],"rotation_degrees":39.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[100,572,101],"beta":{"interval_sums":[193491,207597,194895],"interval_residues":[241,433,99],"display_cycle":[241,433,99],"intervals":[{"from_index":170,"to_index":686,"sum":193491,"residue":241},{"from_index":686,"to_index":1202,"sum":207597,"residue":433},{"from_index":1202,"to_index":170,"sum":194895,"residue":99}],"minimal_cycle":[241,433,99],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[170,686],"circle_positions":773,"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":[171,687,1203],"clock_positions":[171,687,1203],"native_values":[726,294,526],"rotation_degrees":39.76744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,294,526],"beta":{"interval_sums":[193337,207404,194469],"interval_residues":[87,240,446],"display_cycle":[87,240,446],"intervals":[{"from_index":171,"to_index":687,"sum":193337,"residue":87},{"from_index":687,"to_index":1203,"sum":207404,"residue":240},{"from_index":1203,"to_index":171,"sum":194469,"residue":446}],"minimal_cycle":[87,240,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[171,687],"circle_positions":773,"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":[172,688,1204],"clock_positions":[172,688,1204],"native_values":[53,93,627],"rotation_degrees":40.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,93,627],"beta":{"interval_sums":[193578,207837,194568],"interval_residues":[328,673,545],"display_cycle":[328,673,545],"intervals":[{"from_index":172,"to_index":688,"sum":193578,"residue":328},{"from_index":688,"to_index":1204,"sum":207837,"residue":673},{"from_index":1204,"to_index":172,"sum":194568,"residue":545}],"minimal_cycle":[328,673,545],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[172,688],"circle_positions":773,"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":[173,689,1205],"clock_positions":[173,689,1205],"native_values":[6,387,380],"rotation_degrees":40.23255813953488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[6,387,380],"beta":{"interval_sums":[193665,208077,194241],"interval_residues":[415,140,218],"display_cycle":[415,140,218],"intervals":[{"from_index":173,"to_index":689,"sum":193665,"residue":415},{"from_index":689,"to_index":1205,"sum":208077,"residue":140},{"from_index":1205,"to_index":173,"sum":194241,"residue":218}],"minimal_cycle":[415,140,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":415,"start_interval_clock_positions":[173,689],"circle_positions":773,"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":[174,690,1206],"clock_positions":[174,690,1206],"native_values":[59,480,234],"rotation_degrees":40.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,480,234],"beta":{"interval_sums":[193993,207977,194013],"interval_residues":[743,40,763],"display_cycle":[743,40,763],"intervals":[{"from_index":174,"to_index":690,"sum":193993,"residue":743},{"from_index":690,"to_index":1206,"sum":207977,"residue":40},{"from_index":1206,"to_index":174,"sum":194013,"residue":763}],"minimal_cycle":[743,40,763],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[174,690],"circle_positions":773,"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":[175,691,1207],"clock_positions":[175,691,1207],"native_values":[65,94,614],"rotation_degrees":40.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,94,614],"beta":{"interval_sums":[194408,208117,193458],"interval_residues":[385,180,208],"display_cycle":[385,180,208],"intervals":[{"from_index":175,"to_index":691,"sum":194408,"residue":385},{"from_index":691,"to_index":1207,"sum":208117,"residue":180},{"from_index":1207,"to_index":175,"sum":193458,"residue":208}],"minimal_cycle":[385,180,208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[175,691],"circle_positions":773,"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":[176,692,1208],"clock_positions":[176,692,1208],"native_values":[124,574,75],"rotation_degrees":40.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,574,75],"beta":{"interval_sums":[194378,208157,193448],"interval_residues":[355,220,198],"display_cycle":[355,220,198],"intervals":[{"from_index":176,"to_index":692,"sum":194378,"residue":355},{"from_index":692,"to_index":1208,"sum":208157,"residue":220},{"from_index":1208,"to_index":176,"sum":193448,"residue":198}],"minimal_cycle":[355,220,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":355,"start_interval_clock_positions":[176,692],"circle_positions":773,"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":[177,693,1209],"clock_positions":[177,693,1209],"native_values":[189,668,689],"rotation_degrees":41.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,668,689],"beta":{"interval_sums":[194763,207564,192883],"interval_residues":[740,400,406],"display_cycle":[740,400,406],"intervals":[{"from_index":177,"to_index":693,"sum":194763,"residue":740},{"from_index":693,"to_index":1209,"sum":207564,"residue":400},{"from_index":1209,"to_index":177,"sum":192883,"residue":406}],"minimal_cycle":[740,400,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":740,"start_interval_clock_positions":[177,693],"circle_positions":773,"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":[178,694,1210],"clock_positions":[178,694,1210],"native_values":[313,469,764],"rotation_degrees":41.395348837209305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,469,764],"beta":{"interval_sums":[195118,207784,192308],"interval_residues":[322,620,604],"display_cycle":[322,620,604],"intervals":[{"from_index":178,"to_index":694,"sum":195118,"residue":322},{"from_index":694,"to_index":1210,"sum":207784,"residue":620},{"from_index":1210,"to_index":178,"sum":192308,"residue":604}],"minimal_cycle":[322,620,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[178,694],"circle_positions":773,"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":[179,695,1211],"clock_positions":[179,695,1211],"native_values":[502,364,680],"rotation_degrees":41.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,364,680],"beta":{"interval_sums":[195085,208184,191941],"interval_residues":[289,247,237],"display_cycle":[289,247,237],"intervals":[{"from_index":179,"to_index":695,"sum":195085,"residue":289},{"from_index":695,"to_index":1211,"sum":208184,"residue":247},{"from_index":1211,"to_index":179,"sum":191941,"residue":237}],"minimal_cycle":[289,247,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[179,695],"circle_positions":773,"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":[180,696,1212],"clock_positions":[180,696,1212],"native_values":[42,60,671],"rotation_degrees":41.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,60,671],"beta":{"interval_sums":[195407,208804,191772],"interval_residues":[611,94,68],"display_cycle":[611,94,68],"intervals":[{"from_index":180,"to_index":696,"sum":195407,"residue":611},{"from_index":696,"to_index":1212,"sum":208804,"residue":94},{"from_index":1212,"to_index":180,"sum":191772,"residue":68}],"minimal_cycle":[611,94,68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[180,696],"circle_positions":773,"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":[181,697,1213],"clock_positions":[181,697,1213],"native_values":[544,424,578],"rotation_degrees":42.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,424,578],"beta":{"interval_sums":[194923,209051,191236],"interval_residues":[127,341,305],"display_cycle":[127,341,305],"intervals":[{"from_index":181,"to_index":697,"sum":194923,"residue":127},{"from_index":697,"to_index":1213,"sum":209051,"residue":341},{"from_index":1213,"to_index":181,"sum":191236,"residue":305}],"minimal_cycle":[127,341,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[181,697],"circle_positions":773,"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":[182,698,1214],"clock_positions":[182,698,1214],"native_values":[586,484,476],"rotation_degrees":42.325581395348834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,484,476],"beta":{"interval_sums":[194761,209145,191304],"interval_residues":[738,435,373],"display_cycle":[738,435,373],"intervals":[{"from_index":182,"to_index":698,"sum":194761,"residue":738},{"from_index":698,"to_index":1214,"sum":209145,"residue":435},{"from_index":1214,"to_index":182,"sum":191304,"residue":373}],"minimal_cycle":[738,435,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[182,698],"circle_positions":773,"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":[183,699,1215],"clock_positions":[183,699,1215],"native_values":[357,135,281],"rotation_degrees":42.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,135,281],"beta":{"interval_sums":[194888,209486,191609],"interval_residues":[92,3,678],"display_cycle":[92,3,678],"intervals":[{"from_index":183,"to_index":699,"sum":194888,"residue":92},{"from_index":699,"to_index":1215,"sum":209486,"residue":3},{"from_index":1215,"to_index":183,"sum":191609,"residue":678}],"minimal_cycle":[92,3,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[183,699],"circle_positions":773,"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":[184,700,1216],"clock_positions":[184,700,1216],"native_values":[170,619,757],"rotation_degrees":42.7906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,619,757],"beta":{"interval_sums":[194853,209148,191209],"interval_residues":[57,438,278],"display_cycle":[57,438,278],"intervals":[{"from_index":184,"to_index":700,"sum":194853,"residue":57},{"from_index":700,"to_index":1216,"sum":209148,"residue":438},{"from_index":1216,"to_index":184,"sum":191209,"residue":278}],"minimal_cycle":[57,438,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[184,700],"circle_positions":773,"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":[185,701,1217],"clock_positions":[185,701,1217],"native_values":[527,754,265],"rotation_degrees":43.02325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,754,265],"beta":{"interval_sums":[194945,209151,191114],"interval_residues":[149,441,183],"display_cycle":[149,441,183],"intervals":[{"from_index":185,"to_index":701,"sum":194945,"residue":149},{"from_index":701,"to_index":1217,"sum":209151,"residue":441},{"from_index":1217,"to_index":185,"sum":191114,"residue":183}],"minimal_cycle":[149,441,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[185,701],"circle_positions":773,"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":[186,702,1218],"clock_positions":[186,702,1218],"native_values":[697,600,249],"rotation_degrees":43.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,600,249],"beta":{"interval_sums":[195002,208816,191392],"interval_residues":[206,106,461],"display_cycle":[206,106,461],"intervals":[{"from_index":186,"to_index":702,"sum":195002,"residue":206},{"from_index":702,"to_index":1218,"sum":208816,"residue":106},{"from_index":1218,"to_index":186,"sum":191392,"residue":461}],"minimal_cycle":[206,106,461],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[186,702],"circle_positions":773,"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":[187,703,1219],"clock_positions":[187,703,1219],"native_values":[451,581,514],"rotation_degrees":43.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,581,514],"beta":{"interval_sums":[195151,208484,191575],"interval_residues":[355,547,644],"display_cycle":[355,547,644],"intervals":[{"from_index":187,"to_index":703,"sum":195151,"residue":355},{"from_index":703,"to_index":1219,"sum":208484,"residue":547},{"from_index":1219,"to_index":187,"sum":191575,"residue":644}],"minimal_cycle":[355,547,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":355,"start_interval_clock_positions":[187,703],"circle_positions":773,"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":[188,704,1220],"clock_positions":[188,704,1220],"native_values":[375,408,763],"rotation_degrees":43.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,408,763],"beta":{"interval_sums":[195357,208590,191263],"interval_residues":[561,653,332],"display_cycle":[561,653,332],"intervals":[{"from_index":188,"to_index":704,"sum":195357,"residue":561},{"from_index":704,"to_index":1220,"sum":208590,"residue":653},{"from_index":1220,"to_index":188,"sum":191263,"residue":332}],"minimal_cycle":[561,653,332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[188,704],"circle_positions":773,"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":[189,705,1221],"clock_positions":[189,705,1221],"native_values":[53,216,504],"rotation_degrees":43.95348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,216,504],"beta":{"interval_sums":[195712,209137,191134],"interval_residues":[143,427,203],"display_cycle":[143,427,203],"intervals":[{"from_index":189,"to_index":705,"sum":195712,"residue":143},{"from_index":705,"to_index":1221,"sum":209137,"residue":427},{"from_index":1221,"to_index":189,"sum":191134,"residue":203}],"minimal_cycle":[143,427,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[189,705],"circle_positions":773,"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":[190,706,1222],"clock_positions":[190,706,1222],"native_values":[428,624,494],"rotation_degrees":44.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,624,494],"beta":{"interval_sums":[195500,209017,190693],"interval_residues":[704,307,535],"display_cycle":[704,307,535],"intervals":[{"from_index":190,"to_index":706,"sum":195500,"residue":704},{"from_index":706,"to_index":1222,"sum":209017,"residue":307},{"from_index":1222,"to_index":190,"sum":190693,"residue":535}],"minimal_cycle":[704,307,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[190,706],"circle_positions":773,"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":[191,707,1223],"clock_positions":[191,707,1223],"native_values":[481,67,225],"rotation_degrees":44.41860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[481,67,225],"beta":{"interval_sums":[195643,209444,190896],"interval_residues":[74,734,738],"display_cycle":[74,734,738],"intervals":[{"from_index":191,"to_index":707,"sum":195643,"residue":74},{"from_index":707,"to_index":1223,"sum":209444,"residue":734},{"from_index":1223,"to_index":191,"sum":190896,"residue":738}],"minimal_cycle":[74,734,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[191,707],"circle_positions":773,"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":[192,708,1224],"clock_positions":[192,708,1224],"native_values":[136,691,719],"rotation_degrees":44.651162790697676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[136,691,719],"beta":{"interval_sums":[195574,208978,190658],"interval_residues":[5,268,500],"display_cycle":[5,268,500],"intervals":[{"from_index":192,"to_index":708,"sum":195574,"residue":5},{"from_index":708,"to_index":1224,"sum":208978,"residue":268},{"from_index":1224,"to_index":192,"sum":190658,"residue":500}],"minimal_cycle":[5,268,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[192,708],"circle_positions":773,"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":[193,709,1225],"clock_positions":[193,709,1225],"native_values":[617,758,171],"rotation_degrees":44.883720930232556,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,758,171],"beta":{"interval_sums":[195648,208939,190623],"interval_residues":[79,229,465],"display_cycle":[79,229,465],"intervals":[{"from_index":193,"to_index":709,"sum":195648,"residue":79},{"from_index":709,"to_index":1225,"sum":208939,"residue":229},{"from_index":1225,"to_index":193,"sum":190623,"residue":465}],"minimal_cycle":[79,229,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[193,709],"circle_positions":773,"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":[194,710,1226],"clock_positions":[194,710,1226],"native_values":[753,676,117],"rotation_degrees":45.116279069767444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,676,117],"beta":{"interval_sums":[195653,208434,191123],"interval_residues":[84,497,192],"display_cycle":[84,497,192],"intervals":[{"from_index":194,"to_index":710,"sum":195653,"residue":84},{"from_index":710,"to_index":1226,"sum":208434,"residue":497},{"from_index":1226,"to_index":194,"sum":191123,"residue":192}],"minimal_cycle":[84,497,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[194,710],"circle_positions":773,"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":[195,711,1227],"clock_positions":[195,711,1227],"native_values":[597,661,288],"rotation_degrees":45.348837209302324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,661,288],"beta":{"interval_sums":[195732,207890,191588],"interval_residues":[163,726,657],"display_cycle":[163,726,657],"intervals":[{"from_index":195,"to_index":711,"sum":195732,"residue":163},{"from_index":711,"to_index":1227,"sum":207890,"residue":726},{"from_index":1227,"to_index":195,"sum":191588,"residue":657}],"minimal_cycle":[163,726,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[195,711],"circle_positions":773,"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":[196,712,1228],"clock_positions":[196,712,1228],"native_values":[577,564,405],"rotation_degrees":45.58139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,564,405],"beta":{"interval_sums":[195816,207614,191780],"interval_residues":[247,450,76],"display_cycle":[247,450,76],"intervals":[{"from_index":196,"to_index":712,"sum":195816,"residue":247},{"from_index":712,"to_index":1228,"sum":207614,"residue":450},{"from_index":1228,"to_index":196,"sum":191780,"residue":76}],"minimal_cycle":[247,450,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[196,712],"circle_positions":773,"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":[197,713,1229],"clock_positions":[197,713,1229],"native_values":[401,452,693],"rotation_degrees":45.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,452,693],"beta":{"interval_sums":[195979,207567,191664],"interval_residues":[410,403,733],"display_cycle":[410,403,733],"intervals":[{"from_index":197,"to_index":713,"sum":195979,"residue":410},{"from_index":713,"to_index":1229,"sum":207567,"residue":403},{"from_index":1229,"to_index":197,"sum":191664,"residue":733}],"minimal_cycle":[410,403,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[197,713],"circle_positions":773,"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":[198,714,1230],"clock_positions":[198,714,1230],"native_values":[205,243,325],"rotation_degrees":46.04651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,243,325],"beta":{"interval_sums":[196226,208017,191740],"interval_residues":[657,80,36],"display_cycle":[657,80,36],"intervals":[{"from_index":198,"to_index":714,"sum":196226,"residue":657},{"from_index":714,"to_index":1230,"sum":208017,"residue":80},{"from_index":1230,"to_index":198,"sum":191740,"residue":36}],"minimal_cycle":[657,80,36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[198,714],"circle_positions":773,"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":[199,715,1231],"clock_positions":[199,715,1231],"native_values":[606,695,245],"rotation_degrees":46.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[606,695,245],"beta":{"interval_sums":[195863,207647,191700],"interval_residues":[294,483,769],"display_cycle":[294,483,769],"intervals":[{"from_index":199,"to_index":715,"sum":195863,"residue":294},{"from_index":715,"to_index":1231,"sum":207647,"residue":483},{"from_index":1231,"to_index":199,"sum":191700,"residue":769}],"minimal_cycle":[294,483,769],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[199,715],"circle_positions":773,"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":[200,716,1232],"clock_positions":[200,716,1232],"native_values":[38,165,570],"rotation_degrees":46.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,165,570],"beta":{"interval_sums":[196520,207727,191736],"interval_residues":[178,563,32],"display_cycle":[178,563,32],"intervals":[{"from_index":200,"to_index":716,"sum":196520,"residue":178},{"from_index":716,"to_index":1232,"sum":207727,"residue":563},{"from_index":1232,"to_index":200,"sum":191736,"residue":32}],"minimal_cycle":[178,563,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[200,716],"circle_positions":773,"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":[201,717,1233],"clock_positions":[201,717,1233],"native_values":[644,87,42],"rotation_degrees":46.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,87,42],"beta":{"interval_sums":[196041,208210,191732],"interval_residues":[472,273,28],"display_cycle":[472,273,28],"intervals":[{"from_index":201,"to_index":717,"sum":196041,"residue":472},{"from_index":717,"to_index":1233,"sum":208210,"residue":273},{"from_index":1233,"to_index":201,"sum":191732,"residue":28}],"minimal_cycle":[472,273,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[201,717],"circle_positions":773,"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":[202,718,1234],"clock_positions":[202,718,1234],"native_values":[682,252,612],"rotation_degrees":46.97674418604651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[682,252,612],"beta":{"interval_sums":[195446,208000,191764],"interval_residues":[650,63,60],"display_cycle":[650,63,60],"intervals":[{"from_index":202,"to_index":718,"sum":195446,"residue":650},{"from_index":718,"to_index":1234,"sum":208000,"residue":63},{"from_index":1234,"to_index":202,"sum":191764,"residue":60}],"minimal_cycle":[650,63,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[202,718],"circle_positions":773,"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":[203,719,1235],"clock_positions":[203,719,1235],"native_values":[553,339,654],"rotation_degrees":47.2093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,339,654],"beta":{"interval_sums":[195145,208273,191792],"interval_residues":[349,336,88],"display_cycle":[349,336,88],"intervals":[{"from_index":203,"to_index":719,"sum":195145,"residue":349},{"from_index":719,"to_index":1235,"sum":208273,"residue":336},{"from_index":1235,"to_index":203,"sum":191792,"residue":88}],"minimal_cycle":[349,336,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[203,719],"circle_positions":773,"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":[204,720,1236],"clock_positions":[204,720,1236],"native_values":[462,591,493],"rotation_degrees":47.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[462,591,493],"beta":{"interval_sums":[195022,208336,191852],"interval_residues":[226,399,148],"display_cycle":[226,399,148],"intervals":[{"from_index":204,"to_index":720,"sum":195022,"residue":226},{"from_index":720,"to_index":1236,"sum":208336,"residue":399},{"from_index":1236,"to_index":204,"sum":191852,"residue":148}],"minimal_cycle":[226,399,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[204,720],"circle_positions":773,"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":[205,721,1237],"clock_positions":[205,721,1237],"native_values":[242,157,374],"rotation_degrees":47.674418604651166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[242,157,374],"beta":{"interval_sums":[195371,208672,191940],"interval_residues":[575,735,236],"display_cycle":[575,735,236],"intervals":[{"from_index":205,"to_index":721,"sum":195371,"residue":575},{"from_index":721,"to_index":1237,"sum":208672,"residue":735},{"from_index":1237,"to_index":205,"sum":191940,"residue":236}],"minimal_cycle":[575,735,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[205,721],"circle_positions":773,"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":[206,722,1238],"clock_positions":[206,722,1238],"native_values":[704,748,94],"rotation_degrees":47.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,748,94],"beta":{"interval_sums":[194824,208298,192088],"interval_residues":[28,361,384],"display_cycle":[28,361,384],"intervals":[{"from_index":206,"to_index":722,"sum":194824,"residue":28},{"from_index":722,"to_index":1238,"sum":208298,"residue":361},{"from_index":1238,"to_index":206,"sum":192088,"residue":384}],"minimal_cycle":[28,361,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[206,722],"circle_positions":773,"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":[207,723,1239],"clock_positions":[207,723,1239],"native_values":[173,132,468],"rotation_degrees":48.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,132,468],"beta":{"interval_sums":[195399,208260,192324],"interval_residues":[603,323,620],"display_cycle":[603,323,620],"intervals":[{"from_index":207,"to_index":723,"sum":195399,"residue":603},{"from_index":723,"to_index":1239,"sum":208260,"residue":323},{"from_index":1239,"to_index":207,"sum":192324,"residue":620}],"minimal_cycle":[603,323,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[207,723],"circle_positions":773,"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":[208,724,1240],"clock_positions":[208,724,1240],"native_values":[104,107,562],"rotation_degrees":48.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,107,562],"beta":{"interval_sums":[195427,208621,191935],"interval_residues":[631,684,231],"display_cycle":[631,684,231],"intervals":[{"from_index":208,"to_index":724,"sum":195427,"residue":631},{"from_index":724,"to_index":1240,"sum":208621,"residue":684},{"from_index":1240,"to_index":208,"sum":191935,"residue":231}],"minimal_cycle":[631,684,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":631,"start_interval_clock_positions":[208,724],"circle_positions":773,"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":[209,725,1241],"clock_positions":[209,725,1241],"native_values":[277,239,257],"rotation_degrees":48.604651162790695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,239,257],"beta":{"interval_sums":[195257,208944,191782],"interval_residues":[461,234,78],"display_cycle":[461,234,78],"intervals":[{"from_index":209,"to_index":725,"sum":195257,"residue":461},{"from_index":725,"to_index":1241,"sum":208944,"residue":234},{"from_index":1241,"to_index":209,"sum":191782,"residue":78}],"minimal_cycle":[461,234,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":461,"start_interval_clock_positions":[209,725],"circle_positions":773,"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":[210,726,1242],"clock_positions":[210,726,1242],"native_values":[381,346,46],"rotation_degrees":48.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,346,46],"beta":{"interval_sums":[195115,208855,192013],"interval_residues":[319,145,309],"display_cycle":[319,145,309],"intervals":[{"from_index":210,"to_index":726,"sum":195115,"residue":319},{"from_index":726,"to_index":1242,"sum":208855,"residue":145},{"from_index":1242,"to_index":210,"sum":192013,"residue":309}],"minimal_cycle":[319,145,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[210,726],"circle_positions":773,"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":[211,727,1243],"clock_positions":[211,727,1243],"native_values":[658,585,303],"rotation_degrees":49.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,585,303],"beta":{"interval_sums":[194803,208316,192091],"interval_residues":[7,379,387],"display_cycle":[7,379,387],"intervals":[{"from_index":211,"to_index":727,"sum":194803,"residue":7},{"from_index":727,"to_index":1243,"sum":208316,"residue":379},{"from_index":1243,"to_index":211,"sum":192091,"residue":387}],"minimal_cycle":[7,379,387],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":7,"start_interval_clock_positions":[211,727],"circle_positions":773,"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":[212,728,1244],"clock_positions":[212,728,1244],"native_values":[266,158,349],"rotation_degrees":49.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,158,349],"beta":{"interval_sums":[195122,208461,192400],"interval_residues":[326,524,696],"display_cycle":[326,524,696],"intervals":[{"from_index":212,"to_index":728,"sum":195122,"residue":326},{"from_index":728,"to_index":1244,"sum":208461,"residue":524},{"from_index":1244,"to_index":212,"sum":192400,"residue":696}],"minimal_cycle":[326,524,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[212,728],"circle_positions":773,"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":[213,729,1245],"clock_positions":[213,729,1245],"native_values":[151,743,652],"rotation_degrees":49.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,743,652],"beta":{"interval_sums":[195129,208067,192014],"interval_residues":[333,130,310],"display_cycle":[333,130,310],"intervals":[{"from_index":213,"to_index":729,"sum":195129,"residue":333},{"from_index":729,"to_index":1245,"sum":208067,"residue":130},{"from_index":1245,"to_index":213,"sum":192014,"residue":310}],"minimal_cycle":[333,130,310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[213,729],"circle_positions":773,"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":[214,730,1246],"clock_positions":[214,730,1246],"native_values":[417,128,228],"rotation_degrees":49.76744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,128,228],"beta":{"interval_sums":[195455,208591,191937],"interval_residues":[659,654,233],"display_cycle":[659,654,233],"intervals":[{"from_index":214,"to_index":730,"sum":195455,"residue":659},{"from_index":730,"to_index":1246,"sum":208591,"residue":654},{"from_index":1246,"to_index":214,"sum":191937,"residue":233}],"minimal_cycle":[659,654,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":659,"start_interval_clock_positions":[214,730],"circle_positions":773,"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":[215,731,1247],"clock_positions":[215,731,1247],"native_values":[568,98,107],"rotation_degrees":50.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,98,107],"beta":{"interval_sums":[195015,208721,192247],"interval_residues":[219,11,543],"display_cycle":[219,11,543],"intervals":[{"from_index":215,"to_index":731,"sum":195015,"residue":219},{"from_index":731,"to_index":1247,"sum":208721,"residue":11},{"from_index":1247,"to_index":215,"sum":192247,"residue":543}],"minimal_cycle":[219,11,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[215,731],"circle_positions":773,"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":[216,732,1248],"clock_positions":[216,732,1248],"native_values":[212,226,335],"rotation_degrees":50.23255813953488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,226,335],"beta":{"interval_sums":[194901,208602,192480],"interval_residues":[105,665,3],"display_cycle":[105,665,3],"intervals":[{"from_index":216,"to_index":732,"sum":194901,"residue":105},{"from_index":732,"to_index":1248,"sum":208602,"residue":665},{"from_index":1248,"to_index":216,"sum":192480,"residue":3}],"minimal_cycle":[105,665,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[216,732],"circle_positions":773,"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":[217,733,1249],"clock_positions":[217,733,1249],"native_values":[7,324,442],"rotation_degrees":50.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,324,442],"beta":{"interval_sums":[195120,208613,192250],"interval_residues":[324,676,546],"display_cycle":[324,676,546],"intervals":[{"from_index":217,"to_index":733,"sum":195120,"residue":324},{"from_index":733,"to_index":1249,"sum":208613,"residue":676},{"from_index":1249,"to_index":217,"sum":192250,"residue":546}],"minimal_cycle":[324,676,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[217,733],"circle_positions":773,"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":[218,734,1250],"clock_positions":[218,734,1250],"native_values":[219,550,4],"rotation_degrees":50.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,550,4],"beta":{"interval_sums":[195225,208505,192253],"interval_residues":[429,568,549],"display_cycle":[429,568,549],"intervals":[{"from_index":218,"to_index":734,"sum":195225,"residue":429},{"from_index":734,"to_index":1250,"sum":208505,"residue":568},{"from_index":1250,"to_index":218,"sum":192253,"residue":549}],"minimal_cycle":[429,568,549],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[218,734],"circle_positions":773,"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":[219,735,1251],"clock_positions":[219,735,1251],"native_values":[226,101,446],"rotation_degrees":50.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,101,446],"beta":{"interval_sums":[195549,208408,192026],"interval_residues":[753,471,322],"display_cycle":[753,471,322],"intervals":[{"from_index":219,"to_index":735,"sum":195549,"residue":753},{"from_index":735,"to_index":1251,"sum":208408,"residue":471},{"from_index":1251,"to_index":219,"sum":192026,"residue":322}],"minimal_cycle":[753,471,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":753,"start_interval_clock_positions":[219,735],"circle_positions":773,"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":[220,736,1252],"clock_positions":[220,736,1252],"native_values":[445,651,450],"rotation_degrees":51.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[445,651,450],"beta":{"interval_sums":[195205,208203,191802],"interval_residues":[409,266,98],"display_cycle":[409,266,98],"intervals":[{"from_index":220,"to_index":736,"sum":195205,"residue":409},{"from_index":736,"to_index":1252,"sum":208203,"residue":266},{"from_index":1252,"to_index":220,"sum":191802,"residue":98}],"minimal_cycle":[409,266,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[220,736],"circle_positions":773,"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":[221,737,1253],"clock_positions":[221,737,1253],"native_values":[671,752,123],"rotation_degrees":51.395348837209305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,752,123],"beta":{"interval_sums":[195185,207901,192124],"interval_residues":[389,737,420],"display_cycle":[389,737,420],"intervals":[{"from_index":221,"to_index":737,"sum":195185,"residue":389},{"from_index":737,"to_index":1253,"sum":207901,"residue":737},{"from_index":1253,"to_index":221,"sum":192124,"residue":420}],"minimal_cycle":[389,737,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[221,737],"circle_positions":773,"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":[222,738,1254],"clock_positions":[222,738,1254],"native_values":[343,630,573],"rotation_degrees":51.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,630,573],"beta":{"interval_sums":[195594,207394,192222],"interval_residues":[25,230,518],"display_cycle":[25,230,518],"intervals":[{"from_index":222,"to_index":738,"sum":195594,"residue":25},{"from_index":738,"to_index":1254,"sum":207394,"residue":230},{"from_index":1254,"to_index":222,"sum":192222,"residue":518}],"minimal_cycle":[25,230,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[222,738],"circle_positions":773,"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":[223,739,1255],"clock_positions":[223,739,1255],"native_values":[241,609,696],"rotation_degrees":51.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,609,696],"beta":{"interval_sums":[195983,207358,191869],"interval_residues":[414,194,165],"display_cycle":[414,194,165],"intervals":[{"from_index":223,"to_index":739,"sum":195983,"residue":414},{"from_index":739,"to_index":1255,"sum":207358,"residue":194},{"from_index":1255,"to_index":223,"sum":191869,"residue":165}],"minimal_cycle":[414,194,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[223,739],"circle_positions":773,"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":[224,740,1256],"clock_positions":[224,740,1256],"native_values":[584,466,496],"rotation_degrees":52.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,466,496],"beta":{"interval_sums":[196008,207588,191614],"interval_residues":[439,424,683],"display_cycle":[439,424,683],"intervals":[{"from_index":224,"to_index":740,"sum":196008,"residue":439},{"from_index":740,"to_index":1256,"sum":207588,"residue":424},{"from_index":1256,"to_index":224,"sum":191614,"residue":683}],"minimal_cycle":[439,424,683],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[224,740],"circle_positions":773,"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":[225,741,1257],"clock_positions":[225,741,1257],"native_values":[52,302,419],"rotation_degrees":52.325581395348834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,302,419],"beta":{"interval_sums":[196422,207782,191779],"interval_residues":[80,618,75],"display_cycle":[80,618,75],"intervals":[{"from_index":225,"to_index":741,"sum":196422,"residue":80},{"from_index":741,"to_index":1257,"sum":207782,"residue":618},{"from_index":1257,"to_index":225,"sum":191779,"residue":75}],"minimal_cycle":[80,618,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[225,741],"circle_positions":773,"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":[226,742,1258],"clock_positions":[226,742,1258],"native_values":[636,768,142],"rotation_degrees":52.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[636,768,142],"beta":{"interval_sums":[196088,207433,191689],"interval_residues":[519,269,758],"display_cycle":[519,269,758],"intervals":[{"from_index":226,"to_index":742,"sum":196088,"residue":519},{"from_index":742,"to_index":1258,"sum":207433,"residue":269},{"from_index":1258,"to_index":226,"sum":191689,"residue":758}],"minimal_cycle":[519,269,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[226,742],"circle_positions":773,"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":[227,743,1259],"clock_positions":[227,743,1259],"native_values":[688,297,561],"rotation_degrees":52.7906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,297,561],"beta":{"interval_sums":[196168,207278,191764],"interval_residues":[599,114,60],"display_cycle":[599,114,60],"intervals":[{"from_index":227,"to_index":743,"sum":196168,"residue":599},{"from_index":743,"to_index":1259,"sum":207278,"residue":114},{"from_index":1259,"to_index":227,"sum":191764,"residue":60}],"minimal_cycle":[599,114,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[227,743],"circle_positions":773,"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":[228,744,1260],"clock_positions":[228,744,1260],"native_values":[551,292,703],"rotation_degrees":53.02325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,292,703],"beta":{"interval_sums":[195914,207547,191749],"interval_residues":[345,383,45],"display_cycle":[345,383,45],"intervals":[{"from_index":228,"to_index":744,"sum":195914,"residue":345},{"from_index":744,"to_index":1260,"sum":207547,"residue":383},{"from_index":1260,"to_index":228,"sum":191749,"residue":45}],"minimal_cycle":[345,383,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":345,"start_interval_clock_positions":[228,744],"circle_positions":773,"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":[229,745,1261],"clock_positions":[229,745,1261],"native_values":[466,589,491],"rotation_degrees":53.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,589,491],"beta":{"interval_sums":[195740,207661,191809],"interval_residues":[171,497,105],"display_cycle":[171,497,105],"intervals":[{"from_index":229,"to_index":745,"sum":195740,"residue":171},{"from_index":745,"to_index":1261,"sum":207661,"residue":497},{"from_index":1261,"to_index":229,"sum":191809,"residue":105}],"minimal_cycle":[171,497,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[229,745],"circle_positions":773,"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":[230,746,1262],"clock_positions":[230,746,1262],"native_values":[244,108,421],"rotation_degrees":53.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[244,108,421],"beta":{"interval_sums":[196085,208044,191854],"interval_residues":[516,107,150],"display_cycle":[516,107,150],"intervals":[{"from_index":230,"to_index":746,"sum":196085,"residue":516},{"from_index":746,"to_index":1262,"sum":208044,"residue":107},{"from_index":1262,"to_index":230,"sum":191854,"residue":150}],"minimal_cycle":[516,107,150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[230,746],"circle_positions":773,"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":[231,747,1263],"clock_positions":[231,747,1263],"native_values":[710,697,139],"rotation_degrees":53.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,697,139],"beta":{"interval_sums":[195483,207768,191959],"interval_residues":[687,604,255],"display_cycle":[687,604,255],"intervals":[{"from_index":231,"to_index":747,"sum":195483,"residue":687},{"from_index":747,"to_index":1263,"sum":207768,"residue":604},{"from_index":1263,"to_index":231,"sum":191959,"residue":255}],"minimal_cycle":[687,604,255],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":687,"start_interval_clock_positions":[231,747],"circle_positions":773,"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":[232,748,1264],"clock_positions":[232,748,1264],"native_values":[181,32,560],"rotation_degrees":53.95348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,32,560],"beta":{"interval_sums":[195999,207875,192109],"interval_residues":[430,711,405],"display_cycle":[430,711,405],"intervals":[{"from_index":232,"to_index":748,"sum":195999,"residue":430},{"from_index":748,"to_index":1264,"sum":207875,"residue":711},{"from_index":1264,"to_index":232,"sum":192109,"residue":405}],"minimal_cycle":[430,711,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[232,748],"circle_positions":773,"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":[233,749,1265],"clock_positions":[233,749,1265],"native_values":[118,729,699],"rotation_degrees":54.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[118,729,699],"beta":{"interval_sums":[195913,207706,191591],"interval_residues":[344,542,660],"display_cycle":[344,542,660],"intervals":[{"from_index":233,"to_index":749,"sum":195913,"residue":344},{"from_index":749,"to_index":1265,"sum":207706,"residue":542},{"from_index":1265,"to_index":233,"sum":191591,"residue":660}],"minimal_cycle":[344,542,660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[233,749],"circle_positions":773,"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":[234,750,1266],"clock_positions":[234,750,1266],"native_values":[299,761,486],"rotation_degrees":54.41860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,761,486],"beta":{"interval_sums":[196343,207644,191223],"interval_residues":[1,480,292],"display_cycle":[1,480,292],"intervals":[{"from_index":234,"to_index":750,"sum":196343,"residue":1},{"from_index":750,"to_index":1266,"sum":207644,"residue":480},{"from_index":1266,"to_index":234,"sum":191223,"residue":292}],"minimal_cycle":[1,480,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[234,750],"circle_positions":773,"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":[235,751,1267],"clock_positions":[235,751,1267],"native_values":[417,717,412],"rotation_degrees":54.651162790697676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,717,412],"beta":{"interval_sums":[196687,207413,191110],"interval_residues":[345,249,179],"display_cycle":[345,249,179],"intervals":[{"from_index":235,"to_index":751,"sum":196687,"residue":345},{"from_index":751,"to_index":1267,"sum":207413,"residue":249},{"from_index":1267,"to_index":235,"sum":191110,"residue":179}],"minimal_cycle":[345,249,179],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":345,"start_interval_clock_positions":[235,751],"circle_positions":773,"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":[236,752,1268],"clock_positions":[236,752,1268],"native_values":[716,705,125],"rotation_degrees":54.883720930232556,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[716,705,125],"beta":{"interval_sums":[196688,207120,191402],"interval_residues":[346,729,471],"display_cycle":[346,729,471],"intervals":[{"from_index":236,"to_index":752,"sum":196688,"residue":346},{"from_index":752,"to_index":1268,"sum":207120,"residue":729},{"from_index":1268,"to_index":236,"sum":191402,"residue":471}],"minimal_cycle":[346,729,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[236,752],"circle_positions":773,"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":[237,753,1269],"clock_positions":[237,753,1269],"native_values":[360,649,537],"rotation_degrees":55.116279069767444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[360,649,537],"beta":{"interval_sums":[197033,206596,191581],"interval_residues":[691,205,650],"display_cycle":[691,205,650],"intervals":[{"from_index":237,"to_index":753,"sum":197033,"residue":691},{"from_index":753,"to_index":1269,"sum":206596,"residue":205},{"from_index":1269,"to_index":237,"sum":191581,"residue":650}],"minimal_cycle":[691,205,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":691,"start_interval_clock_positions":[237,753],"circle_positions":773,"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":[238,754,1270],"clock_positions":[238,754,1270],"native_values":[303,581,662],"rotation_degrees":55.348837209302324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,581,662],"beta":{"interval_sums":[197379,206552,191279],"interval_residues":[264,161,348],"display_cycle":[264,161,348],"intervals":[{"from_index":238,"to_index":754,"sum":197379,"residue":264},{"from_index":754,"to_index":1270,"sum":206552,"residue":161},{"from_index":1270,"to_index":238,"sum":191279,"residue":348}],"minimal_cycle":[264,161,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[238,754],"circle_positions":773,"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":[239,755,1271],"clock_positions":[239,755,1271],"native_values":[663,457,426],"rotation_degrees":55.58139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,457,426],"beta":{"interval_sums":[197297,206757,191156],"interval_residues":[182,366,225],"display_cycle":[182,366,225],"intervals":[{"from_index":239,"to_index":755,"sum":197297,"residue":182},{"from_index":755,"to_index":1271,"sum":206757,"residue":366},{"from_index":1271,"to_index":239,"sum":191156,"residue":225}],"minimal_cycle":[182,366,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[239,755],"circle_positions":773,"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":[240,756,1272],"clock_positions":[240,756,1272],"native_values":[193,265,315],"rotation_degrees":55.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,265,315],"beta":{"interval_sums":[197561,206918,191504],"interval_residues":[446,527,573],"display_cycle":[446,527,573],"intervals":[{"from_index":240,"to_index":756,"sum":197561,"residue":446},{"from_index":756,"to_index":1272,"sum":206918,"residue":527},{"from_index":1272,"to_index":240,"sum":191504,"residue":573}],"minimal_cycle":[446,527,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[240,756],"circle_positions":773,"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":[241,757,1273],"clock_positions":[241,757,1273],"native_values":[83,722,741],"rotation_degrees":56.04651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,722,741],"beta":{"interval_sums":[197743,206511,190956],"interval_residues":[628,120,25],"display_cycle":[628,120,25],"intervals":[{"from_index":241,"to_index":757,"sum":197743,"residue":628},{"from_index":757,"to_index":1273,"sum":206511,"residue":120},{"from_index":1273,"to_index":241,"sum":190956,"residue":25}],"minimal_cycle":[628,120,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[241,757],"circle_positions":773,"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":[242,758,1274],"clock_positions":[242,758,1274],"native_values":[276,214,283],"rotation_degrees":56.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,214,283],"beta":{"interval_sums":[198189,207038,190756],"interval_residues":[301,647,598],"display_cycle":[301,647,598],"intervals":[{"from_index":242,"to_index":758,"sum":198189,"residue":301},{"from_index":758,"to_index":1274,"sum":207038,"residue":647},{"from_index":1274,"to_index":242,"sum":190756,"residue":598}],"minimal_cycle":[301,647,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[242,758],"circle_positions":773,"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":[243,759,1275],"clock_positions":[243,759,1275],"native_values":[359,163,251],"rotation_degrees":56.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,163,251],"beta":{"interval_sums":[198044,207158,190781],"interval_residues":[156,767,623],"display_cycle":[156,767,623],"intervals":[{"from_index":243,"to_index":759,"sum":198044,"residue":156},{"from_index":759,"to_index":1275,"sum":207158,"residue":767},{"from_index":1275,"to_index":243,"sum":190781,"residue":623}],"minimal_cycle":[156,767,623],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[243,759],"circle_positions":773,"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":[244,760,1276],"clock_positions":[244,760,1276],"native_values":[635,377,534],"rotation_degrees":56.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,377,534],"beta":{"interval_sums":[197572,207032,190606],"interval_residues":[457,641,448],"display_cycle":[457,641,448],"intervals":[{"from_index":244,"to_index":760,"sum":197572,"residue":457},{"from_index":760,"to_index":1276,"sum":207032,"residue":641},{"from_index":1276,"to_index":244,"sum":190606,"residue":448}],"minimal_cycle":[457,641,448],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[244,760],"circle_positions":773,"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":[245,761,1277],"clock_positions":[245,761,1277],"native_values":[221,540,12],"rotation_degrees":56.97674418604651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,540,12],"beta":{"interval_sums":[197728,207026,191229],"interval_residues":[613,635,298],"display_cycle":[613,635,298],"intervals":[{"from_index":245,"to_index":761,"sum":197728,"residue":613},{"from_index":761,"to_index":1277,"sum":207026,"residue":635},{"from_index":1277,"to_index":245,"sum":191229,"residue":298}],"minimal_cycle":[613,635,298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[245,761],"circle_positions":773,"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":[246,762,1278],"clock_positions":[246,762,1278],"native_values":[83,144,546],"rotation_degrees":57.2093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,144,546],"beta":{"interval_sums":[198185,206894,190904],"interval_residues":[297,503,746],"display_cycle":[297,503,746],"intervals":[{"from_index":246,"to_index":762,"sum":198185,"residue":297},{"from_index":762,"to_index":1278,"sum":206894,"residue":503},{"from_index":1278,"to_index":246,"sum":190904,"residue":746}],"minimal_cycle":[297,503,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[246,762],"circle_positions":773,"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":[247,763,1279],"clock_positions":[247,763,1279],"native_values":[304,684,558],"rotation_degrees":57.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,684,558],"beta":{"interval_sums":[198025,206756,190429],"interval_residues":[137,365,271],"display_cycle":[137,365,271],"intervals":[{"from_index":247,"to_index":763,"sum":198025,"residue":137},{"from_index":763,"to_index":1279,"sum":206756,"residue":365},{"from_index":1279,"to_index":247,"sum":190429,"residue":271}],"minimal_cycle":[137,365,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[247,763],"circle_positions":773,"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":[248,764,1280],"clock_positions":[248,764,1280],"native_values":[387,55,331],"rotation_degrees":57.674418604651166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,55,331],"beta":{"interval_sums":[198322,207259,190402],"interval_residues":[434,95,244],"display_cycle":[434,95,244],"intervals":[{"from_index":248,"to_index":764,"sum":198322,"residue":434},{"from_index":764,"to_index":1280,"sum":207259,"residue":95},{"from_index":1280,"to_index":248,"sum":190402,"residue":244}],"minimal_cycle":[434,95,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[248,764],"circle_positions":773,"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":[249,765,1281],"clock_positions":[249,765,1281],"native_values":[691,739,116],"rotation_degrees":57.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,739,116],"beta":{"interval_sums":[197686,206851,190673],"interval_residues":[571,460,515],"display_cycle":[571,460,515],"intervals":[{"from_index":249,"to_index":765,"sum":197686,"residue":571},{"from_index":765,"to_index":1281,"sum":206851,"residue":460},{"from_index":1281,"to_index":249,"sum":190673,"residue":515}],"minimal_cycle":[571,460,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[249,765],"circle_positions":773,"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":[250,766,1282],"clock_positions":[250,766,1282],"native_values":[305,21,447],"rotation_degrees":58.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,21,447],"beta":{"interval_sums":[198120,206946,190917],"interval_residues":[232,555,759],"display_cycle":[232,555,759],"intervals":[{"from_index":250,"to_index":766,"sum":198120,"residue":232},{"from_index":766,"to_index":1282,"sum":206946,"residue":555},{"from_index":1282,"to_index":250,"sum":190917,"residue":759}],"minimal_cycle":[232,555,759],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[250,766],"circle_positions":773,"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":[251,767,1283],"clock_positions":[251,767,1283],"native_values":[223,760,563],"rotation_degrees":58.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,760,563],"beta":{"interval_sums":[197918,206633,190659],"interval_residues":[30,242,501],"display_cycle":[30,242,501],"intervals":[{"from_index":251,"to_index":767,"sum":197918,"residue":30},{"from_index":767,"to_index":1283,"sum":206633,"residue":242},{"from_index":1283,"to_index":251,"sum":190659,"residue":501}],"minimal_cycle":[30,242,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[251,767],"circle_positions":773,"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":[252,768,1284],"clock_positions":[252,768,1284],"native_values":[528,8,237],"rotation_degrees":58.604651162790695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,8,237],"beta":{"interval_sums":[198150,207188,190645],"interval_residues":[262,24,487],"display_cycle":[262,24,487],"intervals":[{"from_index":252,"to_index":768,"sum":198150,"residue":262},{"from_index":768,"to_index":1284,"sum":207188,"residue":24},{"from_index":1284,"to_index":252,"sum":190645,"residue":487}],"minimal_cycle":[262,24,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[252,768],"circle_positions":773,"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":[253,769,1285],"clock_positions":[253,769,1285],"native_values":[751,768,27],"rotation_degrees":58.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,768,27],"beta":{"interval_sums":[197407,206657,191146],"interval_residues":[292,266,215],"display_cycle":[292,266,215],"intervals":[{"from_index":253,"to_index":769,"sum":197407,"residue":292},{"from_index":769,"to_index":1285,"sum":206657,"residue":266},{"from_index":1285,"to_index":253,"sum":191146,"residue":215}],"minimal_cycle":[292,266,215],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[253,769],"circle_positions":773,"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":[254,770,1286],"clock_positions":[254,770,1286],"native_values":[506,3,264],"rotation_degrees":59.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,3,264],"beta":{"interval_sums":[197669,206681,191633],"interval_residues":[554,290,702],"display_cycle":[554,290,702],"intervals":[{"from_index":254,"to_index":770,"sum":197669,"residue":554},{"from_index":770,"to_index":1286,"sum":206681,"residue":290},{"from_index":1286,"to_index":254,"sum":191633,"residue":702}],"minimal_cycle":[554,290,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[254,770],"circle_positions":773,"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":[255,771,1287],"clock_positions":[255,771,1287],"native_values":[484,771,291],"rotation_degrees":59.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,771,291],"beta":{"interval_sums":[197188,206174,191848],"interval_residues":[73,556,144],"display_cycle":[73,556,144],"intervals":[{"from_index":255,"to_index":771,"sum":197188,"residue":73},{"from_index":771,"to_index":1287,"sum":206174,"residue":556},{"from_index":1287,"to_index":255,"sum":191848,"residue":144}],"minimal_cycle":[73,556,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[255,771],"circle_positions":773,"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":[256,772,1288],"clock_positions":[256,772,1288],"native_values":[217,1,555],"rotation_degrees":59.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,1,555],"beta":{"interval_sums":[197742,206464,191777],"interval_residues":[627,73,73],"display_cycle":[627,73,73],"intervals":[{"from_index":256,"to_index":772,"sum":197742,"residue":627},{"from_index":772,"to_index":1288,"sum":206464,"residue":73},{"from_index":1288,"to_index":256,"sum":191777,"residue":73}],"minimal_cycle":[627,73,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":627,"start_interval_clock_positions":[256,772],"circle_positions":773,"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":[257,773,1289],"clock_positions":[257,773,1289],"native_values":[701,772,73],"rotation_degrees":59.76744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[701,772,73],"beta":{"interval_sums":[197042,206247,191921],"interval_residues":[700,629,217],"display_cycle":[700,629,217],"intervals":[{"from_index":257,"to_index":773,"sum":197042,"residue":700},{"from_index":773,"to_index":1289,"sum":206247,"residue":629},{"from_index":1289,"to_index":257,"sum":191921,"residue":217}],"minimal_cycle":[700,629,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[257,773],"circle_positions":773,"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":[258,774,1290],"clock_positions":[258,774,1290],"native_values":[145,773,628],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,773,628],"beta":{"interval_sums":[197669,206320,191994],"interval_residues":[554,702,290],"display_cycle":[554,702,290],"intervals":[{"from_index":258,"to_index":774,"sum":197669,"residue":554},{"from_index":774,"to_index":1290,"sum":206320,"residue":702},{"from_index":1290,"to_index":258,"sum":191994,"residue":290}],"minimal_cycle":[554,702,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[258,774],"circle_positions":773,"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":[259,775,1291],"clock_positions":[259,775,1291],"native_values":[73,772,701],"rotation_degrees":60.23255813953488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,772,701],"beta":{"interval_sums":[197596,206176,191438],"interval_residues":[481,558,507],"display_cycle":[481,558,507],"intervals":[{"from_index":259,"to_index":775,"sum":197596,"residue":481},{"from_index":775,"to_index":1291,"sum":206176,"residue":558},{"from_index":1291,"to_index":259,"sum":191438,"residue":507}],"minimal_cycle":[481,558,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":481,"start_interval_clock_positions":[259,775],"circle_positions":773,"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":[260,776,1292],"clock_positions":[260,776,1292],"native_values":[218,772,556],"rotation_degrees":60.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[218,772,556],"beta":{"interval_sums":[198150,206105,190955],"interval_residues":[262,487,24],"display_cycle":[262,487,24],"intervals":[{"from_index":260,"to_index":776,"sum":198150,"residue":262},{"from_index":776,"to_index":1292,"sum":206105,"residue":487},{"from_index":1292,"to_index":260,"sum":190955,"residue":24}],"minimal_cycle":[262,487,24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[260,776],"circle_positions":773,"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":[261,777,1293],"clock_positions":[261,777,1293],"native_values":[291,771,484],"rotation_degrees":60.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,771,484],"beta":{"interval_sums":[198631,205890,190689],"interval_residues":[743,272,531],"display_cycle":[743,272,531],"intervals":[{"from_index":261,"to_index":777,"sum":198631,"residue":743},{"from_index":777,"to_index":1293,"sum":205890,"residue":272},{"from_index":1293,"to_index":261,"sum":190689,"residue":531}],"minimal_cycle":[743,272,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[261,777],"circle_positions":773,"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":[262,778,1294],"clock_positions":[262,778,1294],"native_values":[509,770,267],"rotation_degrees":60.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,770,267],"beta":{"interval_sums":[198893,205604,190713],"interval_residues":[232,759,555],"display_cycle":[232,759,555],"intervals":[{"from_index":262,"to_index":778,"sum":198893,"residue":232},{"from_index":778,"to_index":1294,"sum":205604,"residue":759},{"from_index":1294,"to_index":262,"sum":190713,"residue":555}],"minimal_cycle":[232,759,555],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[262,778],"circle_positions":773,"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":[263,779,1295],"clock_positions":[263,779,1295],"native_values":[27,768,751],"rotation_degrees":61.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,768,751],"beta":{"interval_sums":[199636,205103,190471],"interval_residues":[202,258,313],"display_cycle":[202,258,313],"intervals":[{"from_index":263,"to_index":779,"sum":199636,"residue":202},{"from_index":779,"to_index":1295,"sum":205103,"residue":258},{"from_index":1295,"to_index":263,"sum":190471,"residue":313}],"minimal_cycle":[202,258,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[263,779],"circle_positions":773,"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":[264,780,1296],"clock_positions":[264,780,1296],"native_values":[536,765,245],"rotation_degrees":61.395348837209305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,765,245],"beta":{"interval_sums":[199868,205089,190253],"interval_residues":[434,244,95],"display_cycle":[434,244,95],"intervals":[{"from_index":264,"to_index":780,"sum":199868,"residue":434},{"from_index":780,"to_index":1296,"sum":205089,"residue":244},{"from_index":1296,"to_index":264,"sum":190253,"residue":95}],"minimal_cycle":[434,244,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[264,780],"circle_positions":773,"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":[265,781,1297],"clock_positions":[265,781,1297],"native_values":[563,760,223],"rotation_degrees":61.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,760,223],"beta":{"interval_sums":[200070,204574,190566],"interval_residues":[636,502,408],"display_cycle":[636,502,408],"intervals":[{"from_index":265,"to_index":781,"sum":200070,"residue":636},{"from_index":781,"to_index":1297,"sum":204574,"residue":502},{"from_index":1297,"to_index":265,"sum":190566,"residue":408}],"minimal_cycle":[636,502,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[265,781],"circle_positions":773,"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":[266,782,1298],"clock_positions":[266,782,1298],"native_values":[326,752,468],"rotation_degrees":61.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,752,468],"beta":{"interval_sums":[200504,204045,190661],"interval_residues":[297,746,503],"display_cycle":[297,746,503],"intervals":[{"from_index":266,"to_index":782,"sum":200504,"residue":297},{"from_index":782,"to_index":1298,"sum":204045,"residue":746},{"from_index":1298,"to_index":266,"sum":190661,"residue":503}],"minimal_cycle":[297,746,503],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[266,782],"circle_positions":773,"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":[267,783,1299],"clock_positions":[267,783,1299],"native_values":[116,739,691],"rotation_degrees":62.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[116,739,691],"beta":{"interval_sums":[201140,203774,190296],"interval_residues":[160,475,138],"display_cycle":[160,475,138],"intervals":[{"from_index":267,"to_index":783,"sum":201140,"residue":160},{"from_index":783,"to_index":1299,"sum":203774,"residue":475},{"from_index":1299,"to_index":267,"sum":190296,"residue":138}],"minimal_cycle":[160,475,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[267,783],"circle_positions":773,"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":[268,784,1300],"clock_positions":[268,784,1300],"native_values":[442,718,386],"rotation_degrees":62.325581395348834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[442,718,386],"beta":{"interval_sums":[201437,203747,190026],"interval_residues":[457,448,641],"display_cycle":[457,448,641],"intervals":[{"from_index":268,"to_index":784,"sum":201437,"residue":457},{"from_index":784,"to_index":1300,"sum":203747,"residue":448},{"from_index":1300,"to_index":268,"sum":190026,"residue":641}],"minimal_cycle":[457,448,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[268,784],"circle_positions":773,"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":[269,785,1301],"clock_positions":[269,785,1301],"native_values":[558,684,304],"rotation_degrees":62.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,684,304],"beta":{"interval_sums":[201597,203449,190164],"interval_residues":[617,150,6],"display_cycle":[617,150,6],"intervals":[{"from_index":269,"to_index":785,"sum":201597,"residue":617},{"from_index":785,"to_index":1301,"sum":203449,"residue":150},{"from_index":1301,"to_index":269,"sum":190164,"residue":6}],"minimal_cycle":[617,150,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":617,"start_interval_clock_positions":[269,785],"circle_positions":773,"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":[270,786,1302],"clock_positions":[270,786,1302],"native_values":[227,629,690],"rotation_degrees":62.7906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,629,690],"beta":{"interval_sums":[202054,203124,190032],"interval_residues":[301,598,647],"display_cycle":[301,598,647],"intervals":[{"from_index":270,"to_index":786,"sum":202054,"residue":301},{"from_index":786,"to_index":1302,"sum":203124,"residue":598},{"from_index":1302,"to_index":270,"sum":190032,"residue":647}],"minimal_cycle":[301,598,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[270,786],"circle_positions":773,"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":[271,787,1303],"clock_positions":[271,787,1303],"native_values":[12,540,221],"rotation_degrees":63.02325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,540,221],"beta":{"interval_sums":[202671,203274,190038],"interval_residues":[145,748,653],"display_cycle":[145,748,653],"intervals":[{"from_index":271,"to_index":787,"sum":202671,"residue":145},{"from_index":787,"to_index":1303,"sum":203274,"residue":748},{"from_index":1303,"to_index":271,"sum":190038,"residue":653}],"minimal_cycle":[145,748,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[271,787],"circle_positions":773,"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":[272,788,1304],"clock_positions":[272,788,1304],"native_values":[239,396,138],"rotation_degrees":63.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,396,138],"beta":{"interval_sums":[202972,203099,189912],"interval_residues":[446,573,527],"display_cycle":[446,573,527],"intervals":[{"from_index":272,"to_index":788,"sum":202972,"residue":446},{"from_index":788,"to_index":1304,"sum":203099,"residue":573},{"from_index":1304,"to_index":272,"sum":189912,"residue":527}],"minimal_cycle":[446,573,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[272,788],"circle_positions":773,"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":[273,789,1305],"clock_positions":[273,789,1305],"native_values":[251,163,359],"rotation_degrees":63.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,163,359],"beta":{"interval_sums":[203117,203074,189792],"interval_residues":[591,548,407],"display_cycle":[591,548,407],"intervals":[{"from_index":273,"to_index":789,"sum":203117,"residue":591},{"from_index":789,"to_index":1305,"sum":203074,"residue":548},{"from_index":1305,"to_index":273,"sum":189792,"residue":407}],"minimal_cycle":[591,548,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":591,"start_interval_clock_positions":[273,789],"circle_positions":773,"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":[274,790,1306],"clock_positions":[274,790,1306],"native_values":[490,559,497],"rotation_degrees":63.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[490,559,497],"beta":{"interval_sums":[202790,202874,189546],"interval_residues":[264,348,161],"display_cycle":[264,348,161],"intervals":[{"from_index":274,"to_index":790,"sum":202790,"residue":264},{"from_index":790,"to_index":1306,"sum":202874,"residue":348},{"from_index":1306,"to_index":274,"sum":189546,"residue":161}],"minimal_cycle":[264,348,161],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[274,790],"circle_positions":773,"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":[275,791,1307],"clock_positions":[275,791,1307],"native_values":[741,722,83],"rotation_degrees":63.95348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,722,83],"beta":{"interval_sums":[202608,202649,189953],"interval_residues":[82,123,568],"display_cycle":[82,123,568],"intervals":[{"from_index":275,"to_index":791,"sum":202608,"residue":82},{"from_index":791,"to_index":1307,"sum":202649,"residue":123},{"from_index":1307,"to_index":275,"sum":189953,"residue":568}],"minimal_cycle":[82,123,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[275,791],"circle_positions":773,"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":[276,792,1308],"clock_positions":[276,792,1308],"native_values":[458,508,580],"rotation_degrees":64.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,508,580],"beta":{"interval_sums":[202872,202224,190114],"interval_residues":[346,471,729],"display_cycle":[346,471,729],"intervals":[{"from_index":276,"to_index":792,"sum":202872,"residue":346},{"from_index":792,"to_index":1308,"sum":202224,"residue":471},{"from_index":1308,"to_index":276,"sum":190114,"residue":729}],"minimal_cycle":[346,471,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[276,792],"circle_positions":773,"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":[277,793,1309],"clock_positions":[277,793,1309],"native_values":[426,457,663],"rotation_degrees":64.4186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,457,663],"beta":{"interval_sums":[202954,202347,189909],"interval_residues":[428,594,524],"display_cycle":[428,594,524],"intervals":[{"from_index":277,"to_index":793,"sum":202954,"residue":428},{"from_index":793,"to_index":1309,"sum":202347,"residue":594},{"from_index":1309,"to_index":277,"sum":189909,"residue":524}],"minimal_cycle":[428,594,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[277,793],"circle_positions":773,"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":[278,794,1310],"clock_positions":[278,794,1310],"native_values":[111,192,470],"rotation_degrees":64.65116279069767,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,192,470],"beta":{"interval_sums":[203300,202818,189865],"interval_residues":[1,292,480],"display_cycle":[1,292,480],"intervals":[{"from_index":278,"to_index":794,"sum":203300,"residue":1},{"from_index":794,"to_index":1310,"sum":202818,"residue":292},{"from_index":1310,"to_index":278,"sum":189865,"residue":480}],"minimal_cycle":[1,292,480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[278,794],"circle_positions":773,"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":[279,795,1311],"clock_positions":[279,795,1311],"native_values":[537,649,360],"rotation_degrees":64.88372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,649,360],"beta":{"interval_sums":[202955,202639,189616],"interval_residues":[429,113,231],"display_cycle":[429,113,231],"intervals":[{"from_index":279,"to_index":795,"sum":202955,"residue":429},{"from_index":795,"to_index":1311,"sum":202639,"residue":113},{"from_index":1311,"to_index":279,"sum":189616,"residue":231}],"minimal_cycle":[429,113,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[279,795],"circle_positions":773,"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":[280,796,1312],"clock_positions":[280,796,1312],"native_values":[648,68,57],"rotation_degrees":65.11627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[648,68,57],"beta":{"interval_sums":[202956,202931,190096],"interval_residues":[430,405,711],"display_cycle":[430,405,711],"intervals":[{"from_index":280,"to_index":796,"sum":202956,"residue":430},{"from_index":796,"to_index":1312,"sum":202931,"residue":405},{"from_index":1312,"to_index":280,"sum":190096,"residue":711}],"minimal_cycle":[430,405,711],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[280,796],"circle_positions":773,"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":[281,797,1313],"clock_positions":[281,797,1313],"native_values":[412,717,417],"rotation_degrees":65.34883720930233,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,717,417],"beta":{"interval_sums":[202612,202271,190327],"interval_residues":[86,518,169],"display_cycle":[86,518,169],"intervals":[{"from_index":281,"to_index":797,"sum":202612,"residue":86},{"from_index":797,"to_index":1313,"sum":202271,"residue":518},{"from_index":1313,"to_index":281,"sum":190327,"residue":169}],"minimal_cycle":[86,518,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[281,797],"circle_positions":773,"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":[282,798,1314],"clock_positions":[282,798,1314],"native_values":[287,12,474],"rotation_degrees":65.5813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,12,474],"beta":{"interval_sums":[203042,202676,190265],"interval_residues":[516,150,107],"display_cycle":[516,150,107],"intervals":[{"from_index":282,"to_index":798,"sum":203042,"residue":516},{"from_index":798,"to_index":1314,"sum":202676,"residue":150},{"from_index":1314,"to_index":282,"sum":190265,"residue":107}],"minimal_cycle":[516,150,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[282,798],"circle_positions":773,"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":[283,799,1315],"clock_positions":[283,799,1315],"native_values":[699,729,118],"rotation_degrees":65.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[699,729,118],"beta":{"interval_sums":[202355,202421,190434],"interval_residues":[602,668,276],"display_cycle":[602,668,276],"intervals":[{"from_index":283,"to_index":799,"sum":202355,"residue":602},{"from_index":799,"to_index":1315,"sum":202421,"residue":668},{"from_index":1315,"to_index":283,"sum":190434,"residue":276}],"minimal_cycle":[602,668,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[283,799],"circle_positions":773,"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":[284,800,1316],"clock_positions":[284,800,1316],"native_values":[213,741,592],"rotation_degrees":66.04651162790698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,741,592],"beta":{"interval_sums":[202871,201798,190541],"interval_residues":[345,45,383],"display_cycle":[345,45,383],"intervals":[{"from_index":284,"to_index":800,"sum":202871,"residue":345},{"from_index":800,"to_index":1316,"sum":201798,"residue":45},{"from_index":1316,"to_index":284,"sum":190541,"residue":383}],"minimal_cycle":[345,45,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":345,"start_interval_clock_positions":[284,800],"circle_positions":773,"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":[285,801,1317],"clock_positions":[285,801,1317],"native_values":[139,697,710],"rotation_degrees":66.27906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,697,710],"beta":{"interval_sums":[203473,201693,190044],"interval_residues":[174,713,659],"display_cycle":[174,713,659],"intervals":[{"from_index":285,"to_index":801,"sum":203473,"residue":174},{"from_index":801,"to_index":1317,"sum":201693,"residue":713},{"from_index":1317,"to_index":285,"sum":190044,"residue":659}],"minimal_cycle":[174,713,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[285,801],"circle_positions":773,"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":[286,802,1318],"clock_positions":[286,802,1318],"native_values":[352,665,529],"rotation_degrees":66.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[352,665,529],"beta":{"interval_sums":[203818,201738,189654],"interval_residues":[519,758,269],"display_cycle":[519,758,269],"intervals":[{"from_index":286,"to_index":802,"sum":203818,"residue":519},{"from_index":802,"to_index":1318,"sum":201738,"residue":758},{"from_index":1318,"to_index":286,"sum":189654,"residue":269}],"minimal_cycle":[519,758,269],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[286,802],"circle_positions":773,"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":[287,803,1319],"clock_positions":[287,803,1319],"native_values":[491,589,466],"rotation_degrees":66.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[491,589,466],"beta":{"interval_sums":[203992,201678,189540],"interval_residues":[693,698,155],"display_cycle":[693,698,155],"intervals":[{"from_index":287,"to_index":803,"sum":203992,"residue":693},{"from_index":803,"to_index":1319,"sum":201678,"residue":698},{"from_index":1319,"to_index":287,"sum":189540,"residue":155}],"minimal_cycle":[693,698,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":693,"start_interval_clock_positions":[287,803],"circle_positions":773,"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":[288,804,1320],"clock_positions":[288,804,1320],"native_values":[70,481,222],"rotation_degrees":66.97674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,481,222],"beta":{"interval_sums":[204511,201663,189809],"interval_residues":[439,683,424],"display_cycle":[439,683,424],"intervals":[{"from_index":288,"to_index":804,"sum":204511,"residue":439},{"from_index":804,"to_index":1320,"sum":201663,"residue":683},{"from_index":1320,"to_index":288,"sum":189809,"residue":424}],"minimal_cycle":[439,683,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[288,804],"circle_positions":773,"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":[289,805,1321],"clock_positions":[289,805,1321],"native_values":[561,297,688],"rotation_degrees":67.20930232558139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,297,688],"beta":{"interval_sums":[204431,201588,189191],"interval_residues":[359,608,579],"display_cycle":[359,608,579],"intervals":[{"from_index":289,"to_index":805,"sum":204431,"residue":359},{"from_index":805,"to_index":1321,"sum":201588,"residue":608},{"from_index":1321,"to_index":289,"sum":189191,"residue":579}],"minimal_cycle":[359,608,579],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":359,"start_interval_clock_positions":[289,805],"circle_positions":773,"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":[290,806,1322],"clock_positions":[290,806,1322],"native_values":[631,5,137],"rotation_degrees":67.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,5,137],"beta":{"interval_sums":[204097,202271,189615],"interval_residues":[25,518,230],"display_cycle":[25,518,230],"intervals":[{"from_index":290,"to_index":806,"sum":204097,"residue":25},{"from_index":806,"to_index":1322,"sum":202271,"residue":518},{"from_index":1322,"to_index":290,"sum":189615,"residue":230}],"minimal_cycle":[25,518,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[290,806],"circle_positions":773,"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":[291,807,1323],"clock_positions":[291,807,1323],"native_values":[419,302,52],"rotation_degrees":67.67441860465117,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,302,52],"beta":{"interval_sums":[203683,202106,190194],"interval_residues":[384,353,36],"display_cycle":[384,353,36],"intervals":[{"from_index":291,"to_index":807,"sum":203683,"residue":384},{"from_index":807,"to_index":1323,"sum":202106,"residue":353},{"from_index":1323,"to_index":291,"sum":190194,"residue":36}],"minimal_cycle":[384,353,36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[291,807],"circle_positions":773,"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":[292,808,1324],"clock_positions":[292,808,1324],"native_values":[277,307,189],"rotation_degrees":67.90697674418605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,307,189],"beta":{"interval_sums":[203708,201851,190424],"interval_residues":[409,98,266],"display_cycle":[409,98,266],"intervals":[{"from_index":292,"to_index":808,"sum":203708,"residue":409},{"from_index":808,"to_index":1324,"sum":201851,"residue":98},{"from_index":1324,"to_index":292,"sum":190424,"residue":266}],"minimal_cycle":[409,98,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[292,808],"circle_positions":773,"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":[293,809,1325],"clock_positions":[293,809,1325],"native_values":[696,609,241],"rotation_degrees":68.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[696,609,241],"beta":{"interval_sums":[203319,201431,190460],"interval_residues":[20,451,302],"display_cycle":[20,451,302],"intervals":[{"from_index":293,"to_index":809,"sum":203319,"residue":20},{"from_index":809,"to_index":1325,"sum":201431,"residue":451},{"from_index":1325,"to_index":293,"sum":190460,"residue":302}],"minimal_cycle":[20,451,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[293,809],"circle_positions":773,"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":[294,810,1326],"clock_positions":[294,810,1326],"native_values":[200,143,430],"rotation_degrees":68.37209302325581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,143,430],"beta":{"interval_sums":[203728,201529,190726],"interval_residues":[429,549,568],"display_cycle":[429,549,568],"intervals":[{"from_index":294,"to_index":810,"sum":203728,"residue":429},{"from_index":810,"to_index":1326,"sum":201529,"residue":549},{"from_index":1326,"to_index":294,"sum":190726,"residue":568}],"minimal_cycle":[429,549,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[294,810],"circle_positions":773,"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":[295,811,1327],"clock_positions":[295,811,1327],"native_values":[123,752,671],"rotation_degrees":68.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,752,671],"beta":{"interval_sums":[203748,201207,190255],"interval_residues":[449,227,97],"display_cycle":[449,227,97],"intervals":[{"from_index":295,"to_index":811,"sum":203748,"residue":449},{"from_index":811,"to_index":1327,"sum":201207,"residue":227},{"from_index":1327,"to_index":295,"sum":190255,"residue":97}],"minimal_cycle":[449,227,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[295,811],"circle_positions":773,"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":[296,812,1328],"clock_positions":[296,812,1328],"native_values":[323,122,328],"rotation_degrees":68.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,122,328],"beta":{"interval_sums":[204177,201756,190050],"interval_residues":[105,3,665],"display_cycle":[105,3,665],"intervals":[{"from_index":296,"to_index":812,"sum":204177,"residue":105},{"from_index":812,"to_index":1328,"sum":201756,"residue":3},{"from_index":1328,"to_index":296,"sum":190050,"residue":665}],"minimal_cycle":[105,3,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[296,812],"circle_positions":773,"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":[297,813,1329],"clock_positions":[297,813,1329],"native_values":[446,101,226],"rotation_degrees":69.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,101,226],"beta":{"interval_sums":[203853,201983,190147],"interval_residues":[554,230,762],"display_cycle":[554,230,762],"intervals":[{"from_index":297,"to_index":813,"sum":203853,"residue":554},{"from_index":813,"to_index":1329,"sum":201983,"residue":230},{"from_index":1329,"to_index":297,"sum":190147,"residue":762}],"minimal_cycle":[554,230,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[297,813],"circle_positions":773,"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":[298,814,1330],"clock_positions":[298,814,1330],"native_values":[769,223,554],"rotation_degrees":69.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,223,554],"beta":{"interval_sums":[203185,201986,190039],"interval_residues":[659,233,654],"display_cycle":[659,233,654],"intervals":[{"from_index":298,"to_index":814,"sum":203185,"residue":659},{"from_index":814,"to_index":1330,"sum":201986,"residue":233},{"from_index":1330,"to_index":298,"sum":190039,"residue":654}],"minimal_cycle":[659,233,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":659,"start_interval_clock_positions":[298,814],"circle_positions":773,"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":[299,815,1331],"clock_positions":[299,815,1331],"native_values":[442,324,7],"rotation_degrees":69.53488372093024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[442,324,7],"beta":{"interval_sums":[202966,202216,190801],"interval_residues":[440,463,643],"display_cycle":[440,463,643],"intervals":[{"from_index":299,"to_index":815,"sum":202966,"residue":440},{"from_index":815,"to_index":1331,"sum":202216,"residue":463},{"from_index":1331,"to_index":299,"sum":190801,"residue":643}],"minimal_cycle":[440,463,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[299,815],"circle_positions":773,"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":[300,816,1332],"clock_positions":[300,816,1332],"native_values":[438,547,561],"rotation_degrees":69.76744186046511,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,547,561],"beta":{"interval_sums":[202852,201676,190682],"interval_residues":[326,696,524],"display_cycle":[326,696,524],"intervals":[{"from_index":300,"to_index":816,"sum":202852,"residue":326},{"from_index":816,"to_index":1332,"sum":201676,"residue":696},{"from_index":1332,"to_index":300,"sum":190682,"residue":524}],"minimal_cycle":[326,696,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[300,816],"circle_positions":773,"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":[301,817,1333],"clock_positions":[301,817,1333],"native_values":[107,98,568],"rotation_degrees":70.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,98,568],"beta":{"interval_sums":[203292,202139,190552],"interval_residues":[766,386,394],"display_cycle":[766,386,394],"intervals":[{"from_index":301,"to_index":817,"sum":203292,"residue":766},{"from_index":817,"to_index":1333,"sum":202139,"residue":386},{"from_index":1333,"to_index":301,"sum":190552,"residue":394}],"minimal_cycle":[766,386,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":766,"start_interval_clock_positions":[301,817],"circle_positions":773,"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":[302,818,1334],"clock_positions":[302,818,1334],"native_values":[545,645,356],"rotation_degrees":70.23255813953489,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,645,356],"beta":{"interval_sums":[202845,202062,190303],"interval_residues":[319,309,145],"display_cycle":[319,309,145],"intervals":[{"from_index":302,"to_index":818,"sum":202845,"residue":319},{"from_index":818,"to_index":1334,"sum":202062,"residue":309},{"from_index":1334,"to_index":302,"sum":190303,"residue":145}],"minimal_cycle":[319,309,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[302,818],"circle_positions":773,"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":[303,819,1335],"clock_positions":[303,819,1335],"native_values":[652,743,151],"rotation_degrees":70.46511627906976,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[652,743,151],"beta":{"interval_sums":[202838,201675,190697],"interval_residues":[312,695,539],"display_cycle":[312,695,539],"intervals":[{"from_index":303,"to_index":819,"sum":202838,"residue":312},{"from_index":819,"to_index":1335,"sum":201675,"residue":695},{"from_index":1335,"to_index":303,"sum":190697,"residue":539}],"minimal_cycle":[312,695,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[303,819],"circle_positions":773,"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":[304,820,1336],"clock_positions":[304,820,1336],"native_values":[424,615,507],"rotation_degrees":70.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,615,507],"beta":{"interval_sums":[203157,201211,190842],"interval_residues":[631,231,684],"display_cycle":[631,231,684],"intervals":[{"from_index":304,"to_index":820,"sum":203157,"residue":631},{"from_index":820,"to_index":1336,"sum":201211,"residue":231},{"from_index":1336,"to_index":304,"sum":190842,"residue":684}],"minimal_cycle":[631,231,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":631,"start_interval_clock_positions":[304,820],"circle_positions":773,"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":[305,821,1337],"clock_positions":[305,821,1337],"native_values":[303,585,658],"rotation_degrees":70.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,585,658],"beta":{"interval_sums":[203469,201133,190608],"interval_residues":[170,153,450],"display_cycle":[170,153,450],"intervals":[{"from_index":305,"to_index":821,"sum":203469,"residue":170},{"from_index":821,"to_index":1337,"sum":201133,"residue":153},{"from_index":1337,"to_index":305,"sum":190608,"residue":450}],"minimal_cycle":[170,153,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[305,821],"circle_positions":773,"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":[306,822,1338],"clock_positions":[306,822,1338],"native_values":[727,427,392],"rotation_degrees":71.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,427,392],"beta":{"interval_sums":[203327,201364,190519],"interval_residues":[28,384,361],"display_cycle":[28,384,361],"intervals":[{"from_index":306,"to_index":822,"sum":203327,"residue":28},{"from_index":822,"to_index":1338,"sum":201364,"residue":384},{"from_index":1338,"to_index":306,"sum":190519,"residue":361}],"minimal_cycle":[28,384,361],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[306,822],"circle_positions":773,"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":[307,823,1339],"clock_positions":[307,823,1339],"native_values":[257,239,277],"rotation_degrees":71.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,239,277],"beta":{"interval_sums":[203497,201517,190969],"interval_residues":[198,537,38],"display_cycle":[198,537,38],"intervals":[{"from_index":307,"to_index":823,"sum":203497,"residue":198},{"from_index":823,"to_index":1339,"sum":201517,"residue":537},{"from_index":1339,"to_index":307,"sum":190969,"residue":38}],"minimal_cycle":[198,537,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[307,823],"circle_positions":773,"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":[308,824,1340],"clock_positions":[308,824,1340],"native_values":[211,666,669],"rotation_degrees":71.62790697674419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,666,669],"beta":{"interval_sums":[203525,201128,190557],"interval_residues":[226,148,399],"display_cycle":[226,148,399],"intervals":[{"from_index":308,"to_index":824,"sum":203525,"residue":226},{"from_index":824,"to_index":1340,"sum":201128,"residue":148},{"from_index":1340,"to_index":308,"sum":190557,"residue":399}],"minimal_cycle":[226,148,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[308,824],"circle_positions":773,"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":[309,825,1341],"clock_positions":[309,825,1341],"native_values":[468,132,173],"rotation_degrees":71.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,132,173],"beta":{"interval_sums":[203723,201665,190595],"interval_residues":[424,685,437],"display_cycle":[424,685,437],"intervals":[{"from_index":309,"to_index":825,"sum":203723,"residue":424},{"from_index":825,"to_index":1341,"sum":201665,"residue":685},{"from_index":1341,"to_index":309,"sum":190595,"residue":437}],"minimal_cycle":[424,685,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[309,825],"circle_positions":773,"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":[310,826,1342],"clock_positions":[310,826,1342],"native_values":[679,25,69],"rotation_degrees":72.09302325581395,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,25,69],"beta":{"interval_sums":[203176,201813,190994],"interval_residues":[650,60,63],"display_cycle":[650,60,63],"intervals":[{"from_index":310,"to_index":826,"sum":203176,"residue":650},{"from_index":826,"to_index":1342,"sum":201813,"residue":60},{"from_index":1342,"to_index":310,"sum":190994,"residue":63}],"minimal_cycle":[650,60,63],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[310,826],"circle_positions":773,"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":[311,827,1343],"clock_positions":[311,827,1343],"native_values":[374,157,242],"rotation_degrees":72.32558139534883,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,157,242],"beta":{"interval_sums":[202827,201725,191431],"interval_residues":[301,745,500],"display_cycle":[301,745,500],"intervals":[{"from_index":311,"to_index":827,"sum":202827,"residue":301},{"from_index":827,"to_index":1343,"sum":201725,"residue":745},{"from_index":1343,"to_index":311,"sum":191431,"residue":500}],"minimal_cycle":[301,745,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[311,827],"circle_positions":773,"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":[312,828,1344],"clock_positions":[312,828,1344],"native_values":[280,182,311],"rotation_degrees":72.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[280,182,311],"beta":{"interval_sums":[202704,201785,191494],"interval_residues":[178,32,563],"display_cycle":[178,32,563],"intervals":[{"from_index":312,"to_index":828,"sum":202704,"residue":178},{"from_index":828,"to_index":1344,"sum":201785,"residue":32},{"from_index":1344,"to_index":312,"sum":191494,"residue":563}],"minimal_cycle":[178,32,563],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[312,828],"circle_positions":773,"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":[313,829,1345],"clock_positions":[313,829,1345],"native_values":[654,339,553],"rotation_degrees":72.79069767441861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[654,339,553],"beta":{"interval_sums":[202232,201757,191221],"interval_residues":[479,4,290],"display_cycle":[479,4,290],"intervals":[{"from_index":313,"to_index":829,"sum":202232,"residue":479},{"from_index":829,"to_index":1345,"sum":201757,"residue":4},{"from_index":1345,"to_index":313,"sum":191221,"residue":290}],"minimal_cycle":[479,4,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":479,"start_interval_clock_positions":[313,829],"circle_positions":773,"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":[314,830,1346],"clock_positions":[314,830,1346],"native_values":[161,521,91],"rotation_degrees":73.02325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,521,91],"beta":{"interval_sums":[202410,201789,191784],"interval_residues":[657,36,80],"display_cycle":[657,36,80],"intervals":[{"from_index":314,"to_index":830,"sum":202410,"residue":657},{"from_index":830,"to_index":1346,"sum":201789,"residue":36},{"from_index":1346,"to_index":314,"sum":191784,"residue":80}],"minimal_cycle":[657,36,80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[314,830],"circle_positions":773,"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":[315,831,1347],"clock_positions":[315,831,1347],"native_values":[42,87,644],"rotation_degrees":73.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,87,644],"beta":{"interval_sums":[202889,201793,191301],"interval_residues":[363,40,370],"display_cycle":[363,40,370],"intervals":[{"from_index":315,"to_index":831,"sum":202889,"residue":363},{"from_index":831,"to_index":1347,"sum":201793,"residue":40},{"from_index":1347,"to_index":315,"sum":191301,"residue":370}],"minimal_cycle":[363,40,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[315,831],"circle_positions":773,"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":[316,832,1348],"clock_positions":[316,832,1348],"native_values":[203,608,735],"rotation_degrees":73.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,608,735],"beta":{"interval_sums":[202773,201829,190608],"interval_residues":[247,76,450],"display_cycle":[247,76,450],"intervals":[{"from_index":316,"to_index":832,"sum":202773,"residue":247},{"from_index":832,"to_index":1348,"sum":201829,"residue":76},{"from_index":1348,"to_index":316,"sum":190608,"residue":450}],"minimal_cycle":[247,76,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[316,832],"circle_positions":773,"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":[317,833,1349],"clock_positions":[317,833,1349],"native_values":[245,695,606],"rotation_degrees":73.72093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,695,606],"beta":{"interval_sums":[203136,201869,190205],"interval_residues":[610,116,47],"display_cycle":[610,116,47],"intervals":[{"from_index":317,"to_index":833,"sum":203136,"residue":610},{"from_index":833,"to_index":1349,"sum":201869,"residue":116},{"from_index":1349,"to_index":317,"sum":190205,"residue":47}],"minimal_cycle":[610,116,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[317,833],"circle_positions":773,"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":[318,834,1350],"clock_positions":[318,834,1350],"native_values":[448,530,568],"rotation_degrees":73.95348837209302,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,530,568],"beta":{"interval_sums":[203383,201945,189882],"interval_residues":[84,192,497],"display_cycle":[84,192,497],"intervals":[{"from_index":318,"to_index":834,"sum":203383,"residue":84},{"from_index":834,"to_index":1350,"sum":201945,"residue":192},{"from_index":1350,"to_index":318,"sum":189882,"residue":497}],"minimal_cycle":[84,192,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[318,834],"circle_positions":773,"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":[319,835,1351],"clock_positions":[319,835,1351],"native_values":[693,452,401],"rotation_degrees":74.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,452,401],"beta":{"interval_sums":[203220,202061,189929],"interval_residues":[694,308,544],"display_cycle":[694,308,544],"intervals":[{"from_index":319,"to_index":835,"sum":203220,"residue":694},{"from_index":835,"to_index":1351,"sum":202061,"residue":308},{"from_index":1351,"to_index":319,"sum":189929,"residue":544}],"minimal_cycle":[694,308,544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[319,835],"circle_positions":773,"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":[320,836,1352],"clock_positions":[320,836,1352],"native_values":[368,209,196],"rotation_degrees":74.4186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,209,196],"beta":{"interval_sums":[203304,202253,190426],"interval_residues":[5,500,268],"display_cycle":[5,500,268],"intervals":[{"from_index":320,"to_index":836,"sum":203304,"residue":5},{"from_index":836,"to_index":1352,"sum":202253,"residue":500},{"from_index":1352,"to_index":320,"sum":190426,"residue":268}],"minimal_cycle":[5,500,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[320,836],"circle_positions":773,"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":[321,837,1353],"clock_positions":[321,837,1353],"native_values":[288,661,597],"rotation_degrees":74.65116279069767,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,661,597],"beta":{"interval_sums":[203225,201788,190197],"interval_residues":[699,35,39],"display_cycle":[699,35,39],"intervals":[{"from_index":321,"to_index":837,"sum":203225,"residue":699},{"from_index":837,"to_index":1353,"sum":201788,"residue":35},{"from_index":1353,"to_index":321,"sum":190197,"residue":39}],"minimal_cycle":[699,35,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":699,"start_interval_clock_positions":[321,837],"circle_positions":773,"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":[322,838,1354],"clock_positions":[322,838,1354],"native_values":[656,97,20],"rotation_degrees":74.88372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[656,97,20],"beta":{"interval_sums":[203230,202288,190465],"interval_residues":[704,535,307],"display_cycle":[704,535,307],"intervals":[{"from_index":322,"to_index":838,"sum":203230,"residue":704},{"from_index":838,"to_index":1354,"sum":202288,"residue":535},{"from_index":1354,"to_index":322,"sum":190465,"residue":307}],"minimal_cycle":[704,535,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[322,838],"circle_positions":773,"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":[323,839,1355],"clock_positions":[323,839,1355],"native_values":[171,758,617],"rotation_degrees":75.11627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,758,617],"beta":{"interval_sums":[203156,201550,190504],"interval_residues":[630,570,346],"display_cycle":[630,570,346],"intervals":[{"from_index":323,"to_index":839,"sum":203156,"residue":630},{"from_index":839,"to_index":1355,"sum":201550,"residue":570},{"from_index":1355,"to_index":323,"sum":190504,"residue":346}],"minimal_cycle":[630,570,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[323,839],"circle_positions":773,"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":[324,840,1356],"clock_positions":[324,840,1356],"native_values":[54,82,637],"rotation_degrees":75.34883720930233,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[54,82,637],"beta":{"interval_sums":[203860,202085,190038],"interval_residues":[561,332,653],"display_cycle":[561,332,653],"intervals":[{"from_index":324,"to_index":840,"sum":203860,"residue":561},{"from_index":840,"to_index":1356,"sum":202085,"residue":332},{"from_index":1356,"to_index":324,"sum":190038,"residue":653}],"minimal_cycle":[561,332,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[324,840],"circle_positions":773,"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":[325,841,1357],"clock_positions":[325,841,1357],"native_values":[225,67,481],"rotation_degrees":75.5813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,67,481],"beta":{"interval_sums":[203717,202655,189611],"interval_residues":[418,129,226],"display_cycle":[418,129,226],"intervals":[{"from_index":325,"to_index":841,"sum":203717,"residue":418},{"from_index":841,"to_index":1357,"sum":202655,"residue":129},{"from_index":1357,"to_index":325,"sum":189611,"residue":226}],"minimal_cycle":[418,129,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[325,841],"circle_positions":773,"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":[326,842,1358],"clock_positions":[326,842,1358],"native_values":[279,149,345],"rotation_degrees":75.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,149,345],"beta":{"interval_sums":[203505,202987,189491],"interval_residues":[206,461,106],"display_cycle":[206,461,106],"intervals":[{"from_index":326,"to_index":842,"sum":203505,"residue":206},{"from_index":842,"to_index":1358,"sum":202987,"residue":461},{"from_index":1358,"to_index":326,"sum":189491,"residue":106}],"minimal_cycle":[206,461,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[326,842],"circle_positions":773,"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":[327,843,1359],"clock_positions":[327,843,1359],"native_values":[504,216,53],"rotation_degrees":76.04651162790698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[504,216,53],"beta":{"interval_sums":[203150,203116,189717],"interval_residues":[624,590,332],"display_cycle":[624,590,332],"intervals":[{"from_index":327,"to_index":843,"sum":203150,"residue":624},{"from_index":843,"to_index":1359,"sum":203116,"residue":590},{"from_index":1359,"to_index":327,"sum":189717,"residue":332}],"minimal_cycle":[624,590,332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":624,"start_interval_clock_positions":[327,843],"circle_positions":773,"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":[328,844,1360],"clock_positions":[328,844,1360],"native_values":[10,365,398],"rotation_degrees":76.27906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,365,398],"beta":{"interval_sums":[203356,202804,189823],"interval_residues":[57,278,438],"display_cycle":[57,278,438],"intervals":[{"from_index":328,"to_index":844,"sum":203356,"residue":57},{"from_index":844,"to_index":1360,"sum":202804,"residue":278},{"from_index":1360,"to_index":328,"sum":189823,"residue":438}],"minimal_cycle":[57,278,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[328,844],"circle_positions":773,"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":[329,845,1361],"clock_positions":[329,845,1361],"native_values":[514,581,451],"rotation_degrees":76.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,581,451],"beta":{"interval_sums":[203207,202621,189382],"interval_residues":[681,95,770],"display_cycle":[681,95,770],"intervals":[{"from_index":329,"to_index":845,"sum":203207,"residue":681},{"from_index":845,"to_index":1361,"sum":202621,"residue":95},{"from_index":1361,"to_index":329,"sum":189382,"residue":770}],"minimal_cycle":[681,95,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[329,845],"circle_positions":773,"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":[330,846,1362],"clock_positions":[330,846,1362],"native_values":[524,173,76],"rotation_degrees":76.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,173,76],"beta":{"interval_sums":[203264,202899,189820],"interval_residues":[738,373,435],"display_cycle":[738,373,435],"intervals":[{"from_index":330,"to_index":846,"sum":203264,"residue":738},{"from_index":846,"to_index":1362,"sum":202899,"residue":373},{"from_index":1362,"to_index":330,"sum":189820,"residue":435}],"minimal_cycle":[738,373,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[330,846],"circle_positions":773,"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":[331,847,1363],"clock_positions":[331,847,1363],"native_values":[265,754,527],"rotation_degrees":76.97674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,754,527],"beta":{"interval_sums":[203172,202221,189817],"interval_residues":[646,468,432],"display_cycle":[646,468,432],"intervals":[{"from_index":331,"to_index":847,"sum":203172,"residue":646},{"from_index":847,"to_index":1363,"sum":202221,"residue":468},{"from_index":1363,"to_index":331,"sum":189817,"residue":432}],"minimal_cycle":[646,468,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[331,847],"circle_positions":773,"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":[332,848,1364],"clock_positions":[332,848,1364],"native_values":[16,154,603],"rotation_degrees":77.20930232558139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,154,603],"beta":{"interval_sums":[203910,202594,189479],"interval_residues":[611,68,94],"display_cycle":[611,68,94],"intervals":[{"from_index":332,"to_index":848,"sum":203910,"residue":611},{"from_index":848,"to_index":1364,"sum":202594,"residue":68},{"from_index":1364,"to_index":332,"sum":189479,"residue":94}],"minimal_cycle":[611,68,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[332,848],"circle_positions":773,"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":[333,849,1365],"clock_positions":[333,849,1365],"native_values":[281,135,357],"rotation_degrees":77.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,135,357],"beta":{"interval_sums":[203783,203062,189138],"interval_residues":[484,536,526],"display_cycle":[484,536,526],"intervals":[{"from_index":333,"to_index":849,"sum":203783,"residue":484},{"from_index":849,"to_index":1365,"sum":203062,"residue":536},{"from_index":1365,"to_index":333,"sum":189138,"residue":526}],"minimal_cycle":[484,536,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[333,849],"circle_positions":773,"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":[334,850,1366],"clock_positions":[334,850,1366],"native_values":[297,289,187],"rotation_degrees":77.67441860465117,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,289,187],"beta":{"interval_sums":[203621,203130,189232],"interval_residues":[322,604,620],"display_cycle":[322,604,620],"intervals":[{"from_index":334,"to_index":850,"sum":203621,"residue":322},{"from_index":850,"to_index":1366,"sum":203130,"residue":604},{"from_index":1366,"to_index":334,"sum":189232,"residue":620}],"minimal_cycle":[322,604,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[334,850],"circle_positions":773,"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":[335,851,1367],"clock_positions":[335,851,1367],"native_values":[578,424,544],"rotation_degrees":77.90697674418605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,424,544],"beta":{"interval_sums":[203332,202893,188985],"interval_residues":[33,367,373],"display_cycle":[33,367,373],"intervals":[{"from_index":335,"to_index":851,"sum":203332,"residue":33},{"from_index":851,"to_index":1367,"sum":202893,"residue":367},{"from_index":1367,"to_index":335,"sum":188985,"residue":373}],"minimal_cycle":[33,367,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[335,851],"circle_positions":773,"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":[336,852,1368],"clock_positions":[336,852,1368],"native_values":[102,713,731],"rotation_degrees":78.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,713,731],"beta":{"interval_sums":[203654,202724,188832],"interval_residues":[355,198,220],"display_cycle":[355,198,220],"intervals":[{"from_index":336,"to_index":852,"sum":203654,"residue":355},{"from_index":852,"to_index":1368,"sum":202724,"residue":198},{"from_index":1368,"to_index":336,"sum":188832,"residue":220}],"minimal_cycle":[355,198,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":355,"start_interval_clock_positions":[336,852],"circle_positions":773,"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":[337,853,1369],"clock_positions":[337,853,1369],"native_values":[680,364,502],"rotation_degrees":78.37209302325581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[680,364,502],"beta":{"interval_sums":[203687,203091,188432],"interval_residues":[388,565,593],"display_cycle":[388,565,593],"intervals":[{"from_index":337,"to_index":853,"sum":203687,"residue":388},{"from_index":853,"to_index":1369,"sum":203091,"residue":565},{"from_index":1369,"to_index":337,"sum":188432,"residue":593}],"minimal_cycle":[388,565,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[337,853],"circle_positions":773,"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":[338,854,1370],"clock_positions":[338,854,1370],"native_values":[9,304,460],"rotation_degrees":78.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,304,460],"beta":{"interval_sums":[204042,203289,188652],"interval_residues":[743,763,40],"display_cycle":[743,763,40],"intervals":[{"from_index":338,"to_index":854,"sum":204042,"residue":743},{"from_index":854,"to_index":1370,"sum":203289,"residue":763},{"from_index":1370,"to_index":338,"sum":188652,"residue":40}],"minimal_cycle":[743,763,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[338,854],"circle_positions":773,"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":[339,855,1371],"clock_positions":[339,855,1371],"native_values":[689,668,189],"rotation_degrees":78.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,668,189],"beta":{"interval_sums":[203657,203081,188472],"interval_residues":[358,555,633],"display_cycle":[358,555,633],"intervals":[{"from_index":339,"to_index":855,"sum":203657,"residue":358},{"from_index":855,"to_index":1371,"sum":203081,"residue":555},{"from_index":1371,"to_index":339,"sum":188472,"residue":633}],"minimal_cycle":[358,555,633],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[339,855],"circle_positions":773,"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":[340,856,1372],"clock_positions":[340,856,1372],"native_values":[698,199,649],"rotation_degrees":79.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,199,649],"beta":{"interval_sums":[203627,203071,188512],"interval_residues":[328,545,673],"display_cycle":[328,545,673],"intervals":[{"from_index":340,"to_index":856,"sum":203627,"residue":328},{"from_index":856,"to_index":1372,"sum":203071,"residue":545},{"from_index":1372,"to_index":340,"sum":188512,"residue":673}],"minimal_cycle":[328,545,673],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[340,856],"circle_positions":773,"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":[341,857,1373],"clock_positions":[341,857,1373],"native_values":[614,94,65],"rotation_degrees":79.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[614,94,65],"beta":{"interval_sums":[203212,203626,189145],"interval_residues":[686,327,533],"display_cycle":[686,327,533],"intervals":[{"from_index":341,"to_index":857,"sum":203212,"residue":686},{"from_index":857,"to_index":1373,"sum":203626,"residue":327},{"from_index":1373,"to_index":341,"sum":189145,"residue":533}],"minimal_cycle":[686,327,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[341,857],"circle_positions":773,"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":[342,858,1374],"clock_positions":[342,858,1374],"native_values":[539,293,714],"rotation_degrees":79.53488372093024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,293,714],"beta":{"interval_sums":[202767,203398,189045],"interval_residues":[241,99,433],"display_cycle":[241,99,433],"intervals":[{"from_index":342,"to_index":858,"sum":202767,"residue":241},{"from_index":858,"to_index":1374,"sum":203398,"residue":99},{"from_index":1374,"to_index":342,"sum":189045,"residue":433}],"minimal_cycle":[241,99,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[342,858],"circle_positions":773,"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":[343,859,1375],"clock_positions":[343,859,1375],"native_values":[380,387,6],"rotation_degrees":79.76744186046511,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,387,6],"beta":{"interval_sums":[202680,203725,189578],"interval_residues":[154,426,193],"display_cycle":[154,426,193],"intervals":[{"from_index":343,"to_index":859,"sum":202680,"residue":154},{"from_index":859,"to_index":1375,"sum":203725,"residue":426},{"from_index":1375,"to_index":343,"sum":189578,"residue":193}],"minimal_cycle":[154,426,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[343,859],"circle_positions":773,"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":[344,860,1376],"clock_positions":[344,860,1376],"native_values":[146,680,720],"rotation_degrees":80.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,680,720],"beta":{"interval_sums":[202921,203051,189238],"interval_residues":[395,525,626],"display_cycle":[395,525,626],"intervals":[{"from_index":344,"to_index":860,"sum":202921,"residue":395},{"from_index":860,"to_index":1376,"sum":203051,"residue":525},{"from_index":1376,"to_index":344,"sum":189238,"residue":626}],"minimal_cycle":[395,525,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[344,860],"circle_positions":773,"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":[345,861,1377],"clock_positions":[345,861,1377],"native_values":[526,294,726],"rotation_degrees":80.23255813953489,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[526,294,726],"beta":{"interval_sums":[203075,203477,188658],"interval_residues":[549,178,46],"display_cycle":[549,178,46],"intervals":[{"from_index":345,"to_index":861,"sum":203075,"residue":549},{"from_index":861,"to_index":1377,"sum":203477,"residue":178},{"from_index":1377,"to_index":345,"sum":188658,"residue":46}],"minimal_cycle":[549,178,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":549,"start_interval_clock_positions":[345,861],"circle_positions":773,"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":[346,862,1378],"clock_positions":[346,862,1378],"native_values":[672,201,673],"rotation_degrees":80.46511627906976,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,201,673],"beta":{"interval_sums":[202697,204002,188511],"interval_residues":[171,703,672],"display_cycle":[171,703,672],"intervals":[{"from_index":346,"to_index":862,"sum":202697,"residue":171},{"from_index":862,"to_index":1378,"sum":204002,"residue":703},{"from_index":1378,"to_index":346,"sum":188511,"residue":672}],"minimal_cycle":[171,703,672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[346,862],"circle_positions":773,"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":[347,863,1379],"clock_positions":[347,863,1379],"native_values":[425,495,626],"rotation_degrees":80.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,495,626],"beta":{"interval_sums":[202473,204180,188557],"interval_residues":[720,108,718],"display_cycle":[720,108,718],"intervals":[{"from_index":347,"to_index":863,"sum":202473,"residue":720},{"from_index":863,"to_index":1379,"sum":204180,"residue":108},{"from_index":1379,"to_index":347,"sum":188557,"residue":718}],"minimal_cycle":[720,108,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[347,863],"circle_positions":773,"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":[348,864,1380],"clock_positions":[348,864,1380],"native_values":[324,696,526],"rotation_degrees":80.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,696,526],"beta":{"interval_sums":[202644,204110,188456],"interval_residues":[118,38,617],"display_cycle":[118,38,617],"intervals":[{"from_index":348,"to_index":864,"sum":202644,"residue":118},{"from_index":864,"to_index":1380,"sum":204110,"residue":38},{"from_index":1380,"to_index":348,"sum":188456,"residue":617}],"minimal_cycle":[118,38,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[348,864],"circle_positions":773,"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":[349,865,1381],"clock_positions":[349,865,1381],"native_values":[749,418,379],"rotation_degrees":81.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[749,418,379],"beta":{"interval_sums":[202591,204218,188401],"interval_residues":[65,146,562],"display_cycle":[65,146,562],"intervals":[{"from_index":349,"to_index":865,"sum":202591,"residue":65},{"from_index":865,"to_index":1381,"sum":204218,"residue":146},{"from_index":1381,"to_index":349,"sum":188401,"residue":562}],"minimal_cycle":[65,146,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[349,865],"circle_positions":773,"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":[350,866,1382],"clock_positions":[350,866,1382],"native_values":[300,341,132],"rotation_degrees":81.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,341,132],"beta":{"interval_sums":[202709,204256,189018],"interval_residues":[183,184,406],"display_cycle":[183,184,406],"intervals":[{"from_index":350,"to_index":866,"sum":202709,"residue":183},{"from_index":866,"to_index":1382,"sum":204256,"residue":184},{"from_index":1382,"to_index":350,"sum":189018,"residue":406}],"minimal_cycle":[183,184,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[350,866],"circle_positions":773,"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":[351,867,1383],"clock_positions":[351,867,1383],"native_values":[276,759,511],"rotation_degrees":81.62790697674419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,759,511],"beta":{"interval_sums":[202774,203629,188807],"interval_residues":[248,330,195],"display_cycle":[248,330,195],"intervals":[{"from_index":351,"to_index":867,"sum":202774,"residue":248},{"from_index":867,"to_index":1383,"sum":203629,"residue":330},{"from_index":1383,"to_index":351,"sum":188807,"residue":195}],"minimal_cycle":[248,330,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[351,867],"circle_positions":773,"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":[352,868,1384],"clock_positions":[352,868,1384],"native_values":[576,327,643],"rotation_degrees":81.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[576,327,643],"beta":{"interval_sums":[202957,203813,188440],"interval_residues":[431,514,601],"display_cycle":[431,514,601],"intervals":[{"from_index":352,"to_index":868,"sum":202957,"residue":431},{"from_index":868,"to_index":1384,"sum":203813,"residue":514},{"from_index":1384,"to_index":352,"sum":188440,"residue":601}],"minimal_cycle":[431,514,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[352,868],"circle_positions":773,"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":[353,869,1385],"clock_positions":[353,869,1385],"native_values":[79,313,381],"rotation_degrees":82.09302325581395,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,313,381],"beta":{"interval_sums":[203205,204143,188635],"interval_residues":[679,71,23],"display_cycle":[679,71,23],"intervals":[{"from_index":353,"to_index":869,"sum":203205,"residue":679},{"from_index":869,"to_index":1385,"sum":204143,"residue":71},{"from_index":1385,"to_index":353,"sum":188635,"residue":23}],"minimal_cycle":[679,71,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":679,"start_interval_clock_positions":[353,869],"circle_positions":773,"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":[354,870,1386],"clock_positions":[354,870,1386],"native_values":[655,640,251],"rotation_degrees":82.32558139534883,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,640,251],"beta":{"interval_sums":[202863,203884,188463],"interval_residues":[337,585,624],"display_cycle":[337,585,624],"intervals":[{"from_index":354,"to_index":870,"sum":202863,"residue":337},{"from_index":870,"to_index":1386,"sum":203884,"residue":585},{"from_index":1386,"to_index":354,"sum":188463,"residue":624}],"minimal_cycle":[337,585,624],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[354,870],"circle_positions":773,"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":[355,871,1387],"clock_positions":[355,871,1387],"native_values":[734,180,632],"rotation_degrees":82.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,180,632],"beta":{"interval_sums":[202769,203955,188486],"interval_residues":[243,656,647],"display_cycle":[243,656,647],"intervals":[{"from_index":355,"to_index":871,"sum":202769,"residue":243},{"from_index":871,"to_index":1387,"sum":203955,"residue":656},{"from_index":1387,"to_index":355,"sum":188486,"residue":647}],"minimal_cycle":[243,656,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[355,871],"circle_positions":773,"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":[356,872,1388],"clock_positions":[356,872,1388],"native_values":[616,47,110],"rotation_degrees":82.79069767441861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,47,110],"beta":{"interval_sums":[202333,204540,189110],"interval_residues":[580,468,498],"display_cycle":[580,468,498],"intervals":[{"from_index":356,"to_index":872,"sum":202333,"residue":580},{"from_index":872,"to_index":1388,"sum":204540,"residue":468},{"from_index":1388,"to_index":356,"sum":189110,"residue":498}],"minimal_cycle":[580,468,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[356,872],"circle_positions":773,"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":[357,873,1389],"clock_positions":[357,873,1389],"native_values":[577,227,742],"rotation_degrees":83.02325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,227,742],"beta":{"interval_sums":[201803,204423,188984],"interval_residues":[50,351,372],"display_cycle":[50,351,372],"intervals":[{"from_index":357,"to_index":873,"sum":201803,"residue":50},{"from_index":873,"to_index":1389,"sum":204423,"residue":351},{"from_index":1389,"to_index":357,"sum":188984,"residue":372}],"minimal_cycle":[50,351,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[357,873],"circle_positions":773,"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":[358,874,1390],"clock_positions":[358,874,1390],"native_values":[420,274,79],"rotation_degrees":83.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,274,79],"beta":{"interval_sums":[201610,204891,189482],"interval_residues":[630,46,97],"display_cycle":[630,46,97],"intervals":[{"from_index":358,"to_index":874,"sum":201610,"residue":630},{"from_index":874,"to_index":1390,"sum":204891,"residue":46},{"from_index":1390,"to_index":358,"sum":189482,"residue":97}],"minimal_cycle":[630,46,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[358,874],"circle_positions":773,"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":[359,875,1391],"clock_positions":[359,875,1391],"native_values":[224,501,48],"rotation_degrees":83.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,501,48],"beta":{"interval_sums":[201660,204469,189854],"interval_residues":[680,397,469],"display_cycle":[680,397,469],"intervals":[{"from_index":359,"to_index":875,"sum":201660,"residue":680},{"from_index":875,"to_index":1391,"sum":204469,"residue":397},{"from_index":1391,"to_index":359,"sum":189854,"residue":469}],"minimal_cycle":[680,397,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[359,875],"circle_positions":773,"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":[360,876,1392],"clock_positions":[360,876,1392],"native_values":[644,2,127],"rotation_degrees":83.72093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,2,127],"beta":{"interval_sums":[201517,204515,189951],"interval_residues":[537,443,566],"display_cycle":[537,443,566],"intervals":[{"from_index":360,"to_index":876,"sum":201517,"residue":537},{"from_index":876,"to_index":1392,"sum":204515,"residue":443},{"from_index":1392,"to_index":360,"sum":189951,"residue":566}],"minimal_cycle":[537,443,566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[360,876],"circle_positions":773,"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":[361,877,1393],"clock_positions":[361,877,1393],"native_values":[95,503,175],"rotation_degrees":83.95348837209302,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,503,175],"beta":{"interval_sums":[201424,204139,190420],"interval_residues":[444,67,262],"display_cycle":[444,67,262],"intervals":[{"from_index":361,"to_index":877,"sum":201424,"residue":444},{"from_index":877,"to_index":1393,"sum":204139,"residue":67},{"from_index":1393,"to_index":361,"sum":190420,"residue":262}],"minimal_cycle":[444,67,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[361,877],"circle_positions":773,"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":[362,878,1394],"clock_positions":[362,878,1394],"native_values":[739,505,302],"rotation_degrees":84.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[739,505,302],"beta":{"interval_sums":[201188,203809,190213],"interval_residues":[208,510,55],"display_cycle":[208,510,55],"intervals":[{"from_index":362,"to_index":878,"sum":201188,"residue":208},{"from_index":878,"to_index":1394,"sum":203809,"residue":510},{"from_index":1394,"to_index":362,"sum":190213,"residue":55}],"minimal_cycle":[208,510,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[362,878],"circle_positions":773,"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":[363,879,1395],"clock_positions":[363,879,1395],"native_values":[61,235,477],"rotation_degrees":84.4186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,235,477],"beta":{"interval_sums":[201632,203876,190475],"interval_residues":[652,577,317],"display_cycle":[652,577,317],"intervals":[{"from_index":363,"to_index":879,"sum":201632,"residue":652},{"from_index":879,"to_index":1395,"sum":203876,"residue":577},{"from_index":1395,"to_index":363,"sum":190475,"residue":317}],"minimal_cycle":[652,577,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[363,879],"circle_positions":773,"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":[364,880,1396],"clock_positions":[364,880,1396],"native_values":[27,740,6],"rotation_degrees":84.65116279069767,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,740,6],"beta":{"interval_sums":[201840,203613,190530],"interval_residues":[87,314,372],"display_cycle":[87,314,372],"intervals":[{"from_index":364,"to_index":880,"sum":201840,"residue":87},{"from_index":880,"to_index":1396,"sum":203613,"residue":314},{"from_index":1396,"to_index":364,"sum":190530,"residue":372}],"minimal_cycle":[87,314,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[364,880],"circle_positions":773,"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":[365,881,1397],"clock_positions":[365,881,1397],"native_values":[88,202,483],"rotation_degrees":84.88372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,202,483],"beta":{"interval_sums":[202492,203417,190074],"interval_residues":[739,118,689],"display_cycle":[739,118,689],"intervals":[{"from_index":365,"to_index":881,"sum":202492,"residue":739},{"from_index":881,"to_index":1397,"sum":203417,"residue":118},{"from_index":1397,"to_index":365,"sum":190074,"residue":689}],"minimal_cycle":[739,118,689],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":739,"start_interval_clock_positions":[365,881],"circle_positions":773,"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":[366,882,1398],"clock_positions":[366,882,1398],"native_values":[115,169,489],"rotation_degrees":85.11627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,169,489],"beta":{"interval_sums":[202579,203731,189673],"interval_residues":[53,432,288],"display_cycle":[53,432,288],"intervals":[{"from_index":366,"to_index":882,"sum":202579,"residue":53},{"from_index":882,"to_index":1398,"sum":203731,"residue":432},{"from_index":1398,"to_index":366,"sum":189673,"residue":288}],"minimal_cycle":[53,432,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[366,882],"circle_positions":773,"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":[367,883,1399],"clock_positions":[367,883,1399],"native_values":[203,371,199],"rotation_degrees":85.34883720930233,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,371,199],"beta":{"interval_sums":[202545,203849,189589],"interval_residues":[19,550,204],"display_cycle":[19,550,204],"intervals":[{"from_index":367,"to_index":883,"sum":202545,"residue":19},{"from_index":883,"to_index":1399,"sum":203849,"residue":550},{"from_index":1399,"to_index":367,"sum":189589,"residue":204}],"minimal_cycle":[19,550,204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[367,883],"circle_positions":773,"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":[368,884,1400],"clock_positions":[368,884,1400],"native_values":[318,540,688],"rotation_degrees":85.5813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,540,688],"beta":{"interval_sums":[202598,203508,189104],"interval_residues":[72,209,492],"display_cycle":[72,209,492],"intervals":[{"from_index":368,"to_index":884,"sum":202598,"residue":72},{"from_index":884,"to_index":1400,"sum":203508,"residue":209},{"from_index":1400,"to_index":368,"sum":189104,"residue":492}],"minimal_cycle":[72,209,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[368,884],"circle_positions":773,"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":[369,885,1401],"clock_positions":[369,885,1401],"native_values":[521,138,114],"rotation_degrees":85.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,138,114],"beta":{"interval_sums":[202617,204058,189308],"interval_residues":[91,759,696],"display_cycle":[91,759,696],"intervals":[{"from_index":369,"to_index":885,"sum":202617,"residue":91},{"from_index":885,"to_index":1401,"sum":204058,"residue":759},{"from_index":1401,"to_index":369,"sum":189308,"residue":696}],"minimal_cycle":[91,759,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[369,885],"circle_positions":773,"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":[370,886,1402],"clock_positions":[370,886,1402],"native_values":[66,678,29],"rotation_degrees":86.04651162790698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,678,29],"beta":{"interval_sums":[202689,203494,189800],"interval_residues":[163,195,415],"display_cycle":[163,195,415],"intervals":[{"from_index":370,"to_index":886,"sum":202689,"residue":163},{"from_index":886,"to_index":1402,"sum":203494,"residue":195},{"from_index":1402,"to_index":370,"sum":189800,"residue":415}],"minimal_cycle":[163,195,415],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[370,886],"circle_positions":773,"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":[371,887,1403],"clock_positions":[371,887,1403],"native_values":[587,43,143],"rotation_degrees":86.27906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,43,143],"beta":{"interval_sums":[202780,203480,189723],"interval_residues":[254,181,338],"display_cycle":[254,181,338],"intervals":[{"from_index":371,"to_index":887,"sum":202780,"residue":254},{"from_index":887,"to_index":1403,"sum":203480,"residue":181},{"from_index":1403,"to_index":371,"sum":189723,"residue":338}],"minimal_cycle":[254,181,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[371,887],"circle_positions":773,"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":[372,888,1404],"clock_positions":[372,888,1404],"native_values":[653,721,172],"rotation_degrees":86.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,721,172],"beta":{"interval_sums":[202170,202902,190138],"interval_residues":[417,376,753],"display_cycle":[417,376,753],"intervals":[{"from_index":372,"to_index":888,"sum":202170,"residue":417},{"from_index":888,"to_index":1404,"sum":202902,"residue":376},{"from_index":1404,"to_index":372,"sum":190138,"residue":753}],"minimal_cycle":[417,376,753],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[372,888],"circle_positions":773,"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":[373,889,1405],"clock_positions":[373,889,1405],"native_values":[467,764,315],"rotation_degrees":86.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,764,315],"beta":{"interval_sums":[202424,202310,190476],"interval_residues":[671,557,318],"display_cycle":[671,557,318],"intervals":[{"from_index":373,"to_index":889,"sum":202424,"residue":671},{"from_index":889,"to_index":1405,"sum":202310,"residue":557},{"from_index":1405,"to_index":373,"sum":190476,"residue":318}],"minimal_cycle":[671,557,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[373,889],"circle_positions":773,"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":[374,890,1406],"clock_positions":[374,890,1406],"native_values":[347,712,487],"rotation_degrees":86.97674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,712,487],"beta":{"interval_sums":[202841,201913,190456],"interval_residues":[315,160,298],"display_cycle":[315,160,298],"intervals":[{"from_index":374,"to_index":890,"sum":202841,"residue":315},{"from_index":890,"to_index":1406,"sum":201913,"residue":160},{"from_index":1406,"to_index":374,"sum":190456,"residue":298}],"minimal_cycle":[315,160,298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[374,890],"circle_positions":773,"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":[375,891,1407],"clock_positions":[375,891,1407],"native_values":[41,703,29],"rotation_degrees":87.20930232558139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,703,29],"beta":{"interval_sums":[203512,201697,190774],"interval_residues":[213,717,616],"display_cycle":[213,717,616],"intervals":[{"from_index":375,"to_index":891,"sum":203512,"residue":213},{"from_index":891,"to_index":1407,"sum":201697,"residue":717},{"from_index":1407,"to_index":375,"sum":190774,"residue":616}],"minimal_cycle":[213,717,616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[375,891],"circle_positions":773,"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":[376,892,1408],"clock_positions":[376,892,1408],"native_values":[388,642,516],"rotation_degrees":87.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,642,516],"beta":{"interval_sums":[203827,201084,190299],"interval_residues":[528,104,141],"display_cycle":[528,104,141],"intervals":[{"from_index":376,"to_index":892,"sum":203827,"residue":528},{"from_index":892,"to_index":1408,"sum":201084,"residue":104},{"from_index":1408,"to_index":376,"sum":190299,"residue":141}],"minimal_cycle":[528,104,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[376,892],"circle_positions":773,"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":[377,893,1409],"clock_positions":[377,893,1409],"native_values":[429,572,545],"rotation_degrees":87.67441860465117,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,572,545],"beta":{"interval_sums":[204040,201028,190142],"interval_residues":[741,48,757],"display_cycle":[741,48,757],"intervals":[{"from_index":377,"to_index":893,"sum":204040,"residue":741},{"from_index":893,"to_index":1409,"sum":201028,"residue":48},{"from_index":1409,"to_index":377,"sum":190142,"residue":757}],"minimal_cycle":[741,48,757],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[377,893],"circle_positions":773,"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":[378,894,1410],"clock_positions":[378,894,1410],"native_values":[44,441,288],"rotation_degrees":87.90697674418605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,441,288],"beta":{"interval_sums":[204568,201132,190283],"interval_residues":[496,152,125],"display_cycle":[496,152,125],"intervals":[{"from_index":378,"to_index":894,"sum":204568,"residue":496},{"from_index":894,"to_index":1410,"sum":201132,"residue":152},{"from_index":1410,"to_index":378,"sum":190283,"residue":125}],"minimal_cycle":[496,152,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[378,894],"circle_positions":773,"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":[379,895,1411],"clock_positions":[379,895,1411],"native_values":[473,240,60],"rotation_degrees":88.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,240,60],"beta":{"interval_sums":[204536,201180,190267],"interval_residues":[464,200,109],"display_cycle":[464,200,109],"intervals":[{"from_index":379,"to_index":895,"sum":204536,"residue":464},{"from_index":895,"to_index":1411,"sum":201180,"residue":200},{"from_index":1411,"to_index":379,"sum":190267,"residue":109}],"minimal_cycle":[464,200,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[379,895],"circle_positions":773,"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":[380,896,1412],"clock_positions":[380,896,1412],"native_values":[517,681,348],"rotation_degrees":88.37209302325581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[517,681,348],"beta":{"interval_sums":[204259,200559,190392],"interval_residues":[187,352,234],"display_cycle":[187,352,234],"intervals":[{"from_index":380,"to_index":896,"sum":204259,"residue":187},{"from_index":896,"to_index":1412,"sum":200559,"residue":352},{"from_index":1412,"to_index":380,"sum":190392,"residue":234}],"minimal_cycle":[187,352,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[380,896],"circle_positions":773,"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":[381,897,1413],"clock_positions":[381,897,1413],"native_values":[217,148,408],"rotation_degrees":88.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,148,408],"beta":{"interval_sums":[204723,200759,190501],"interval_residues":[651,552,343],"display_cycle":[651,552,343],"intervals":[{"from_index":381,"to_index":897,"sum":204723,"residue":651},{"from_index":897,"to_index":1413,"sum":200759,"residue":552},{"from_index":1413,"to_index":381,"sum":190501,"residue":343}],"minimal_cycle":[651,552,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":651,"start_interval_clock_positions":[381,897],"circle_positions":773,"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":[382,898,1414],"clock_positions":[382,898,1414],"native_values":[734,56,756],"rotation_degrees":88.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,56,756],"beta":{"interval_sums":[204137,201111,189962],"interval_residues":[65,131,577],"display_cycle":[65,131,577],"intervals":[{"from_index":382,"to_index":898,"sum":204137,"residue":65},{"from_index":898,"to_index":1414,"sum":201111,"residue":131},{"from_index":1414,"to_index":382,"sum":189962,"residue":577}],"minimal_cycle":[65,131,577],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[382,898],"circle_positions":773,"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":[383,899,1415],"clock_positions":[383,899,1415],"native_values":[178,204,391],"rotation_degrees":89.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[178,204,391],"beta":{"interval_sums":[204015,201663,190305],"interval_residues":[716,683,147],"display_cycle":[716,683,147],"intervals":[{"from_index":383,"to_index":899,"sum":204015,"residue":716},{"from_index":899,"to_index":1415,"sum":201663,"residue":683},{"from_index":1415,"to_index":383,"sum":190305,"residue":147}],"minimal_cycle":[716,683,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[383,899],"circle_positions":773,"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":[384,900,1416],"clock_positions":[384,900,1416],"native_values":[139,260,374],"rotation_degrees":89.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,260,374],"beta":{"interval_sums":[204080,201794,190109],"interval_residues":[8,41,724],"display_cycle":[8,41,724],"intervals":[{"from_index":384,"to_index":900,"sum":204080,"residue":8},{"from_index":900,"to_index":1416,"sum":201794,"residue":41},{"from_index":1416,"to_index":384,"sum":190109,"residue":724}],"minimal_cycle":[8,41,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[384,900],"circle_positions":773,"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":[385,901,1417],"clock_positions":[385,901,1417],"native_values":[317,464,765],"rotation_degrees":89.53488372093024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,464,765],"beta":{"interval_sums":[204023,201704,189483],"interval_residues":[724,724,98],"display_cycle":[724,724,98],"intervals":[{"from_index":385,"to_index":901,"sum":204023,"residue":724},{"from_index":901,"to_index":1417,"sum":201704,"residue":724},{"from_index":1417,"to_index":385,"sum":189483,"residue":98}],"minimal_cycle":[724,724,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[385,901],"circle_positions":773,"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":[386,902,1418],"clock_positions":[386,902,1418],"native_values":[456,724,366],"rotation_degrees":89.76744186046511,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,724,366],"beta":{"interval_sums":[204031,201745,189434],"interval_residues":[732,765,49],"display_cycle":[732,765,49],"intervals":[{"from_index":386,"to_index":902,"sum":204031,"residue":732},{"from_index":902,"to_index":1418,"sum":201745,"residue":765},{"from_index":1418,"to_index":386,"sum":189434,"residue":49}],"minimal_cycle":[732,765,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[386,902],"circle_positions":773,"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":[387,903,1419],"clock_positions":[387,903,1419],"native_values":[773,415,358],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[773,415,358],"beta":{"interval_sums":[204755,201696,189532],"interval_residues":[683,716,147],"display_cycle":[683,716,147],"intervals":[{"from_index":387,"to_index":903,"sum":204755,"residue":683},{"from_index":903,"to_index":1419,"sum":201696,"residue":716},{"from_index":1419,"to_index":387,"sum":189532,"residue":147}],"minimal_cycle":[683,716,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":683,"start_interval_clock_positions":[387,903],"circle_positions":773,"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":[388,904,1420],"clock_positions":[388,904,1420],"native_values":[456,366,724],"rotation_degrees":90.23255813953489,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,366,724],"beta":{"interval_sums":[204714,201688,188808],"interval_residues":[642,708,196],"display_cycle":[642,708,196],"intervals":[{"from_index":388,"to_index":904,"sum":204714,"residue":642},{"from_index":904,"to_index":1420,"sum":201688,"residue":708},{"from_index":1420,"to_index":388,"sum":188808,"residue":196}],"minimal_cycle":[642,708,196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[388,904],"circle_positions":773,"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":[389,905,1421],"clock_positions":[389,905,1421],"native_values":[456,8,309],"rotation_degrees":90.46511627906976,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,8,309],"beta":{"interval_sums":[204624,202404,188955],"interval_residues":[552,651,343],"display_cycle":[552,651,343],"intervals":[{"from_index":389,"to_index":905,"sum":204624,"residue":552},{"from_index":905,"to_index":1421,"sum":202404,"residue":651},{"from_index":1421,"to_index":389,"sum":188955,"residue":343}],"minimal_cycle":[552,651,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[389,905],"circle_positions":773,"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":[390,906,1422],"clock_positions":[390,906,1422],"native_values":[139,374,260],"rotation_degrees":90.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,374,260],"beta":{"interval_sums":[204493,202339,189151],"interval_residues":[421,586,539],"display_cycle":[421,586,539],"intervals":[{"from_index":390,"to_index":906,"sum":204493,"residue":421},{"from_index":906,"to_index":1422,"sum":202339,"residue":586},{"from_index":1422,"to_index":390,"sum":189151,"residue":539}],"minimal_cycle":[421,586,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[390,906],"circle_positions":773,"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":[391,907,1423],"clock_positions":[391,907,1423],"native_values":[595,382,569],"rotation_degrees":90.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,382,569],"beta":{"interval_sums":[204272,202217,188721],"interval_residues":[200,464,109],"display_cycle":[200,464,109],"intervals":[{"from_index":391,"to_index":907,"sum":204272,"residue":200},{"from_index":907,"to_index":1423,"sum":202217,"residue":464},{"from_index":1423,"to_index":391,"sum":188721,"residue":109}],"minimal_cycle":[200,464,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[391,907],"circle_positions":773,"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":[392,908,1424],"clock_positions":[392,908,1424],"native_values":[734,756,56],"rotation_degrees":91.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,756,56],"beta":{"interval_sums":[203920,202030,189260],"interval_residues":[621,277,648],"display_cycle":[621,277,648],"intervals":[{"from_index":392,"to_index":908,"sum":203920,"residue":621},{"from_index":908,"to_index":1424,"sum":202030,"residue":277},{"from_index":1424,"to_index":392,"sum":189260,"residue":648}],"minimal_cycle":[621,277,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":621,"start_interval_clock_positions":[392,908],"circle_positions":773,"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":[393,909,1425],"clock_positions":[393,909,1425],"native_values":[556,365,625],"rotation_degrees":91.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,365,625],"beta":{"interval_sums":[204120,201721,189369],"interval_residues":[48,741,757],"display_cycle":[48,741,757],"intervals":[{"from_index":393,"to_index":909,"sum":204120,"residue":48},{"from_index":909,"to_index":1425,"sum":201721,"residue":741},{"from_index":1425,"to_index":393,"sum":189369,"residue":757}],"minimal_cycle":[48,741,757],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[393,909],"circle_positions":773,"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":[394,910,1426],"clock_positions":[394,910,1426],"native_values":[517,348,681],"rotation_degrees":91.62790697674419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[517,348,681],"beta":{"interval_sums":[203968,201998,189244],"interval_residues":[669,245,632],"display_cycle":[669,245,632],"intervals":[{"from_index":394,"to_index":910,"sum":203968,"residue":669},{"from_index":910,"to_index":1426,"sum":201998,"residue":245},{"from_index":1426,"to_index":394,"sum":189244,"residue":632}],"minimal_cycle":[669,245,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[394,910],"circle_positions":773,"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":[395,911,1427],"clock_positions":[395,911,1427],"native_values":[300,713,533],"rotation_degrees":91.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,713,533],"beta":{"interval_sums":[204016,201966,189228],"interval_residues":[717,213,616],"display_cycle":[717,213,616],"intervals":[{"from_index":395,"to_index":911,"sum":204016,"residue":717},{"from_index":911,"to_index":1427,"sum":201966,"residue":213},{"from_index":1427,"to_index":395,"sum":189228,"residue":616}],"minimal_cycle":[717,213,616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[395,911],"circle_positions":773,"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":[396,912,1428],"clock_positions":[396,912,1428],"native_values":[44,288,441],"rotation_degrees":92.09302325581395,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,288,441],"beta":{"interval_sums":[204685,202211,189087],"interval_residues":[613,458,475],"display_cycle":[613,458,475],"intervals":[{"from_index":396,"to_index":912,"sum":204685,"residue":613},{"from_index":912,"to_index":1428,"sum":202211,"residue":458},{"from_index":1428,"to_index":396,"sum":189087,"residue":475}],"minimal_cycle":[613,458,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[396,912],"circle_positions":773,"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":[397,913,1429],"clock_positions":[397,913,1429],"native_values":[344,228,201],"rotation_degrees":92.32558139534883,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,228,201],"beta":{"interval_sums":[204629,202424,188930],"interval_residues":[557,671,318],"display_cycle":[557,671,318],"intervals":[{"from_index":397,"to_index":913,"sum":204629,"residue":557},{"from_index":913,"to_index":1429,"sum":202424,"residue":671},{"from_index":1429,"to_index":397,"sum":188930,"residue":318}],"minimal_cycle":[557,671,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[397,913],"circle_positions":773,"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":[398,914,1430],"clock_positions":[398,914,1430],"native_values":[388,516,642],"rotation_degrees":92.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,516,642],"beta":{"interval_sums":[204469,202109,188632],"interval_residues":[397,356,20],"display_cycle":[397,356,20],"intervals":[{"from_index":398,"to_index":914,"sum":204469,"residue":397},{"from_index":914,"to_index":1430,"sum":202109,"residue":356},{"from_index":1430,"to_index":398,"sum":188632,"residue":20}],"minimal_cycle":[397,356,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[398,914],"circle_positions":773,"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":[399,915,1431],"clock_positions":[399,915,1431],"native_values":[732,744,70],"rotation_degrees":92.79069767441861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[732,744,70],"beta":{"interval_sums":[204253,202007,188950],"interval_residues":[181,254,338],"display_cycle":[181,254,338],"intervals":[{"from_index":399,"to_index":915,"sum":204253,"residue":181},{"from_index":915,"to_index":1431,"sum":202007,"residue":254},{"from_index":1431,"to_index":399,"sum":188950,"residue":338}],"minimal_cycle":[181,254,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[399,915],"circle_positions":773,"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":[400,916,1432],"clock_positions":[400,916,1432],"native_values":[347,487,712],"rotation_degrees":93.02325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,487,712],"beta":{"interval_sums":[204650,201590,188970],"interval_residues":[578,610,358],"display_cycle":[578,610,358],"intervals":[{"from_index":400,"to_index":916,"sum":204650,"residue":578},{"from_index":916,"to_index":1432,"sum":201590,"residue":610},{"from_index":1432,"to_index":400,"sum":188970,"residue":358}],"minimal_cycle":[578,610,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[400,916],"circle_positions":773,"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":[401,917,1433],"clock_positions":[401,917,1433],"native_values":[306,458,9],"rotation_degrees":93.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[306,458,9],"beta":{"interval_sums":[204831,201844,189308],"interval_residues":[759,91,696],"display_cycle":[759,91,696],"intervals":[{"from_index":401,"to_index":917,"sum":204831,"residue":759},{"from_index":917,"to_index":1433,"sum":201844,"residue":91},{"from_index":1433,"to_index":401,"sum":189308,"residue":696}],"minimal_cycle":[759,91,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":759,"start_interval_clock_positions":[401,917],"circle_positions":773,"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":[402,918,1434],"clock_positions":[402,918,1434],"native_values":[653,172,721],"rotation_degrees":93.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,172,721],"beta":{"interval_sums":[204636,201681,188893],"interval_residues":[564,701,281],"display_cycle":[564,701,281],"intervals":[{"from_index":402,"to_index":918,"sum":204636,"residue":564},{"from_index":918,"to_index":1434,"sum":201681,"residue":701},{"from_index":1434,"to_index":402,"sum":188893,"residue":281}],"minimal_cycle":[564,701,281],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[402,918],"circle_positions":773,"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":[403,919,1435],"clock_positions":[403,919,1435],"native_values":[186,630,730],"rotation_degrees":93.72093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[186,630,730],"beta":{"interval_sums":[204622,201772,188816],"interval_residues":[550,19,204],"display_cycle":[550,19,204],"intervals":[{"from_index":403,"to_index":919,"sum":204622,"residue":550},{"from_index":919,"to_index":1435,"sum":201772,"residue":19},{"from_index":1435,"to_index":403,"sum":188816,"residue":204}],"minimal_cycle":[550,19,204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[403,919],"circle_positions":773,"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":[404,920,1436],"clock_positions":[404,920,1436],"native_values":[66,29,678],"rotation_degrees":93.95348837209302,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,29,678],"beta":{"interval_sums":[205186,202473,188324],"interval_residues":[341,720,485],"display_cycle":[341,720,485],"intervals":[{"from_index":404,"to_index":920,"sum":205186,"residue":341},{"from_index":920,"to_index":1436,"sum":202473,"residue":720},{"from_index":1436,"to_index":404,"sum":188324,"residue":485}],"minimal_cycle":[341,720,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[404,920],"circle_positions":773,"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":[405,921,1437],"clock_positions":[405,921,1437],"native_values":[252,659,635],"rotation_degrees":94.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,659,635],"beta":{"interval_sums":[204963,202492,187755],"interval_residues":[118,739,689],"display_cycle":[118,739,689],"intervals":[{"from_index":405,"to_index":921,"sum":204963,"residue":118},{"from_index":921,"to_index":1437,"sum":202492,"residue":739},{"from_index":1437,"to_index":405,"sum":187755,"residue":689}],"minimal_cycle":[118,739,689],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[405,921],"circle_positions":773,"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":[406,922,1438],"clock_positions":[406,922,1438],"native_values":[318,688,540],"rotation_degrees":94.4186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,688,540],"beta":{"interval_sums":[205304,202439,187467],"interval_residues":[459,686,401],"display_cycle":[459,686,401],"intervals":[{"from_index":406,"to_index":922,"sum":205304,"residue":459},{"from_index":922,"to_index":1438,"sum":202439,"residue":686},{"from_index":1438,"to_index":406,"sum":187467,"residue":401}],"minimal_cycle":[459,686,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":459,"start_interval_clock_positions":[406,922],"circle_positions":773,"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":[407,923,1439],"clock_positions":[407,923,1439],"native_values":[570,574,402],"rotation_degrees":94.65116279069767,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[570,574,402],"beta":{"interval_sums":[205422,202405,187383],"interval_residues":[577,652,317],"display_cycle":[577,652,317],"intervals":[{"from_index":407,"to_index":923,"sum":205422,"residue":577},{"from_index":923,"to_index":1439,"sum":202405,"residue":652},{"from_index":1439,"to_index":407,"sum":187383,"residue":317}],"minimal_cycle":[577,652,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[407,923],"circle_positions":773,"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":[408,924,1440],"clock_positions":[408,924,1440],"native_values":[115,489,169],"rotation_degrees":94.88372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,489,169],"beta":{"interval_sums":[205881,202318,187784],"interval_residues":[263,565,718],"display_cycle":[263,565,718],"intervals":[{"from_index":408,"to_index":924,"sum":205881,"residue":263},{"from_index":924,"to_index":1440,"sum":202318,"residue":565},{"from_index":1440,"to_index":408,"sum":187784,"residue":718}],"minimal_cycle":[263,565,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[408,924],"circle_positions":773,"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":[409,925,1441],"clock_positions":[409,925,1441],"native_values":[685,290,571],"rotation_degrees":95.11627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,290,571],"beta":{"interval_sums":[205685,202197,187328],"interval_residues":[67,444,262],"display_cycle":[67,444,262],"intervals":[{"from_index":409,"to_index":925,"sum":205685,"residue":67},{"from_index":925,"to_index":1441,"sum":202197,"residue":444},{"from_index":1441,"to_index":409,"sum":187328,"residue":262}],"minimal_cycle":[67,444,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[409,925],"circle_positions":773,"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":[410,926,1442],"clock_positions":[410,926,1442],"native_values":[27,6,740],"rotation_degrees":95.34883720930233,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,6,740],"beta":{"interval_sums":[205948,202762,187273],"interval_residues":[330,236,207],"display_cycle":[330,236,207],"intervals":[{"from_index":410,"to_index":926,"sum":205948,"residue":330},{"from_index":926,"to_index":1442,"sum":202762,"residue":236},{"from_index":1442,"to_index":410,"sum":187273,"residue":207}],"minimal_cycle":[330,236,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[410,926],"circle_positions":773,"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":[411,927,1443],"clock_positions":[411,927,1443],"native_values":[712,296,538],"rotation_degrees":95.5813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[712,296,538],"beta":{"interval_sums":[205242,203206,186762],"interval_residues":[397,680,469],"display_cycle":[397,680,469],"intervals":[{"from_index":411,"to_index":927,"sum":205242,"residue":397},{"from_index":927,"to_index":1443,"sum":203206,"residue":680},{"from_index":1443,"to_index":411,"sum":186762,"residue":469}],"minimal_cycle":[397,680,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[411,927],"circle_positions":773,"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":[412,928,1444],"clock_positions":[412,928,1444],"native_values":[739,302,505],"rotation_degrees":95.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[739,302,505],"beta":{"interval_sums":[204799,203442,186969],"interval_residues":[727,143,676],"display_cycle":[727,143,676],"intervals":[{"from_index":412,"to_index":928,"sum":204799,"residue":727},{"from_index":928,"to_index":1444,"sum":203442,"residue":143},{"from_index":1444,"to_index":412,"sum":186969,"residue":676}],"minimal_cycle":[727,143,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":727,"start_interval_clock_positions":[412,928],"circle_positions":773,"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":[413,929,1445],"clock_positions":[413,929,1445],"native_values":[678,598,270],"rotation_degrees":96.04651162790698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,598,270],"beta":{"interval_sums":[204423,203349,187438],"interval_residues":[351,50,372],"display_cycle":[351,50,372],"intervals":[{"from_index":413,"to_index":929,"sum":204423,"residue":351},{"from_index":929,"to_index":1445,"sum":203349,"residue":50},{"from_index":1445,"to_index":413,"sum":187438,"residue":372}],"minimal_cycle":[351,50,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[413,929],"circle_positions":773,"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":[414,930,1446],"clock_positions":[414,930,1446],"native_values":[644,127,2],"rotation_degrees":96.27906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,127,2],"beta":{"interval_sums":[204377,203492,188114],"interval_residues":[305,193,275],"display_cycle":[305,193,275],"intervals":[{"from_index":414,"to_index":930,"sum":204377,"residue":305},{"from_index":930,"to_index":1446,"sum":203492,"residue":193},{"from_index":1446,"to_index":414,"sum":188114,"residue":275}],"minimal_cycle":[305,193,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[414,930],"circle_positions":773,"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":[415,931,1447],"clock_positions":[415,931,1447],"native_values":[549,725,272],"rotation_degrees":96.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,725,272],"beta":{"interval_sums":[203955,202769,188486],"interval_residues":[656,243,647],"display_cycle":[656,243,647],"intervals":[{"from_index":415,"to_index":931,"sum":203955,"residue":656},{"from_index":931,"to_index":1447,"sum":202769,"residue":243},{"from_index":1447,"to_index":415,"sum":188486,"residue":647}],"minimal_cycle":[656,243,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[415,931],"circle_positions":773,"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":[416,932,1448],"clock_positions":[416,932,1448],"native_values":[420,79,274],"rotation_degrees":96.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,79,274],"beta":{"interval_sums":[204260,202962,188761],"interval_residues":[188,436,149],"display_cycle":[188,436,149],"intervals":[{"from_index":416,"to_index":932,"sum":204260,"residue":188},{"from_index":932,"to_index":1448,"sum":202962,"residue":436},{"from_index":1448,"to_index":416,"sum":188761,"residue":149}],"minimal_cycle":[188,436,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[416,932],"circle_positions":773,"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":[417,933,1449],"clock_positions":[417,933,1449],"native_values":[196,31,546],"rotation_degrees":96.97674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[196,31,546],"beta":{"interval_sums":[204143,203205,188635],"interval_residues":[71,679,23],"display_cycle":[71,679,23],"intervals":[{"from_index":417,"to_index":933,"sum":204143,"residue":71},{"from_index":933,"to_index":1449,"sum":203205,"residue":679},{"from_index":1449,"to_index":417,"sum":188635,"residue":23}],"minimal_cycle":[71,679,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[417,933],"circle_positions":773,"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":[418,934,1450],"clock_positions":[418,934,1450],"native_values":[616,110,47],"rotation_degrees":97.20930232558139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,110,47],"beta":{"interval_sums":[203558,203641,188784],"interval_residues":[259,342,172],"display_cycle":[259,342,172],"intervals":[{"from_index":418,"to_index":934,"sum":203558,"residue":259},{"from_index":934,"to_index":1450,"sum":203641,"residue":342},{"from_index":1450,"to_index":418,"sum":188784,"residue":172}],"minimal_cycle":[259,342,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[418,934],"circle_positions":773,"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":[419,935,1451],"clock_positions":[419,935,1451],"native_values":[39,141,593],"rotation_degrees":97.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,141,593],"beta":{"interval_sums":[203629,203547,188807],"interval_residues":[330,248,195],"display_cycle":[330,248,195],"intervals":[{"from_index":419,"to_index":935,"sum":203629,"residue":330},{"from_index":935,"to_index":1451,"sum":203547,"residue":248},{"from_index":1451,"to_index":419,"sum":188807,"residue":195}],"minimal_cycle":[330,248,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[419,935],"circle_positions":773,"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":[420,936,1452],"clock_positions":[420,936,1452],"native_values":[655,251,640],"rotation_degrees":97.67441860465117,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,251,640],"beta":{"interval_sums":[203115,203889,188206],"interval_residues":[589,590,367],"display_cycle":[589,590,367],"intervals":[{"from_index":420,"to_index":936,"sum":203115,"residue":589},{"from_index":936,"to_index":1452,"sum":203889,"residue":590},{"from_index":1452,"to_index":420,"sum":188206,"residue":367}],"minimal_cycle":[589,590,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[420,936],"circle_positions":773,"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":[421,937,1453],"clock_positions":[421,937,1453],"native_values":[694,392,460],"rotation_degrees":97.90697674418605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,392,460],"beta":{"interval_sums":[202672,204137,188401],"interval_residues":[146,65,562],"display_cycle":[146,65,562],"intervals":[{"from_index":421,"to_index":937,"sum":202672,"residue":146},{"from_index":937,"to_index":1453,"sum":204137,"residue":65},{"from_index":1453,"to_index":421,"sum":188401,"residue":562}],"minimal_cycle":[146,65,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[421,937],"circle_positions":773,"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":[422,938,1454],"clock_positions":[422,938,1454],"native_values":[576,643,327],"rotation_degrees":98.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[576,643,327],"beta":{"interval_sums":[202488,203954,188768],"interval_residues":[735,655,156],"display_cycle":[735,655,156],"intervals":[{"from_index":422,"to_index":938,"sum":202488,"residue":735},{"from_index":938,"to_index":1454,"sum":203954,"residue":655},{"from_index":1454,"to_index":422,"sum":188768,"residue":156}],"minimal_cycle":[735,655,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":735,"start_interval_clock_positions":[422,938],"circle_positions":773,"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":[423,939,1455],"clock_positions":[423,939,1455],"native_values":[497,262,14],"rotation_degrees":98.37209302325581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,262,14],"beta":{"interval_sums":[202634,204019,189330],"interval_residues":[108,720,718],"display_cycle":[108,720,718],"intervals":[{"from_index":423,"to_index":939,"sum":202634,"residue":108},{"from_index":939,"to_index":1455,"sum":204019,"residue":720},{"from_index":1455,"to_index":423,"sum":189330,"residue":718}],"minimal_cycle":[108,720,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[423,939],"circle_positions":773,"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":[424,940,1456],"clock_positions":[424,940,1456],"native_values":[300,132,341],"rotation_degrees":98.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,132,341],"beta":{"interval_sums":[202596,203901,189486],"interval_residues":[70,602,101],"display_cycle":[70,602,101],"intervals":[{"from_index":424,"to_index":940,"sum":202596,"residue":70},{"from_index":940,"to_index":1456,"sum":203901,"residue":602},{"from_index":1456,"to_index":424,"sum":189486,"residue":101}],"minimal_cycle":[70,602,101],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[424,940],"circle_positions":773,"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":[425,941,1457],"clock_positions":[425,941,1457],"native_values":[24,394,355],"rotation_degrees":98.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[24,394,355],"beta":{"interval_sums":[202704,203848,189431],"interval_residues":[178,549,46],"display_cycle":[178,549,46],"intervals":[{"from_index":425,"to_index":941,"sum":202704,"residue":178},{"from_index":941,"to_index":1457,"sum":203848,"residue":549},{"from_index":1457,"to_index":425,"sum":189431,"residue":46}],"minimal_cycle":[178,549,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[425,941],"circle_positions":773,"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":[426,942,1458],"clock_positions":[426,942,1458],"native_values":[324,526,696],"rotation_degrees":99.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,526,696],"beta":{"interval_sums":[202774,203677,188759],"interval_residues":[248,378,147],"display_cycle":[248,378,147],"intervals":[{"from_index":426,"to_index":942,"sum":202774,"residue":248},{"from_index":942,"to_index":1458,"sum":203677,"residue":378},{"from_index":1458,"to_index":426,"sum":188759,"residue":147}],"minimal_cycle":[248,378,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[426,942],"circle_positions":773,"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":[427,943,1459],"clock_positions":[427,943,1459],"native_values":[348,147,278],"rotation_degrees":99.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,147,278],"beta":{"interval_sums":[202952,204226,188805],"interval_residues":[426,154,193],"display_cycle":[426,154,193],"intervals":[{"from_index":427,"to_index":943,"sum":202952,"residue":426},{"from_index":943,"to_index":1459,"sum":204226,"residue":154},{"from_index":1459,"to_index":427,"sum":188805,"residue":193}],"minimal_cycle":[426,154,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[427,943],"circle_positions":773,"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":[428,944,1460],"clock_positions":[428,944,1460],"native_values":[672,673,201],"rotation_degrees":99.53488372093024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,673,201],"beta":{"interval_sums":[202427,203831,188952],"interval_residues":[674,532,340],"display_cycle":[674,532,340],"intervals":[{"from_index":428,"to_index":944,"sum":202427,"residue":674},{"from_index":944,"to_index":1460,"sum":203831,"residue":532},{"from_index":1460,"to_index":428,"sum":188952,"residue":340}],"minimal_cycle":[674,532,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[428,944],"circle_positions":773,"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":[429,945,1461],"clock_positions":[429,945,1461],"native_values":[247,47,479],"rotation_degrees":99.76744186046511,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,47,479],"beta":{"interval_sums":[202853,203985,189145],"interval_residues":[327,686,533],"display_cycle":[327,686,533],"intervals":[{"from_index":429,"to_index":945,"sum":202853,"residue":327},{"from_index":945,"to_index":1461,"sum":203985,"residue":686},{"from_index":1461,"to_index":429,"sum":189145,"residue":533}],"minimal_cycle":[327,686,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[429,945],"circle_positions":773,"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":[430,946,1462],"clock_positions":[430,946,1462],"native_values":[146,720,680],"rotation_degrees":100.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,720,680],"beta":{"interval_sums":[202754,203744,188712],"interval_residues":[228,445,100],"display_cycle":[228,445,100],"intervals":[{"from_index":430,"to_index":946,"sum":202754,"residue":228},{"from_index":946,"to_index":1462,"sum":203744,"residue":445},{"from_index":1462,"to_index":430,"sum":188712,"residue":100}],"minimal_cycle":[228,445,100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[430,946],"circle_positions":773,"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":[431,947,1463],"clock_positions":[431,947,1463],"native_values":[393,767,386],"rotation_degrees":100.23255813953489,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,767,386],"beta":{"interval_sums":[203081,203657,188472],"interval_residues":[555,358,633],"display_cycle":[555,358,633],"intervals":[{"from_index":431,"to_index":947,"sum":203081,"residue":555},{"from_index":947,"to_index":1463,"sum":203657,"residue":358},{"from_index":1463,"to_index":431,"sum":188472,"residue":633}],"minimal_cycle":[555,358,633],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":555,"start_interval_clock_positions":[431,947],"circle_positions":773,"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":[432,948,1464],"clock_positions":[432,948,1464],"native_values":[539,714,293],"rotation_degrees":100.46511627906976,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,714,293],"beta":{"interval_sums":[203309,203329,188572],"interval_residues":[10,30,733],"display_cycle":[10,30,733],"intervals":[{"from_index":432,"to_index":948,"sum":203309,"residue":10},{"from_index":948,"to_index":1464,"sum":203329,"residue":30},{"from_index":1464,"to_index":432,"sum":188572,"residue":733}],"minimal_cycle":[10,30,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[432,948],"circle_positions":773,"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":[433,949,1465],"clock_positions":[433,949,1465],"native_values":[159,708,679],"rotation_degrees":100.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,708,679],"beta":{"interval_sums":[203864,202914,188432],"interval_residues":[565,388,593],"display_cycle":[565,388,593],"intervals":[{"from_index":433,"to_index":949,"sum":203864,"residue":565},{"from_index":949,"to_index":1465,"sum":202914,"residue":388},{"from_index":1465,"to_index":433,"sum":188432,"residue":593}],"minimal_cycle":[565,388,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":565,"start_interval_clock_positions":[433,949],"circle_positions":773,"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":[434,950,1466],"clock_positions":[434,950,1466],"native_values":[698,649,199],"rotation_degrees":100.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,649,199],"beta":{"interval_sums":[203874,202944,188392],"interval_residues":[575,418,553],"display_cycle":[575,418,553],"intervals":[{"from_index":434,"to_index":950,"sum":203874,"residue":575},{"from_index":950,"to_index":1466,"sum":202944,"residue":418},{"from_index":1466,"to_index":434,"sum":188392,"residue":553}],"minimal_cycle":[575,418,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[434,950],"circle_positions":773,"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":[435,951,1467],"clock_positions":[435,951,1467],"native_values":[84,584,105],"rotation_degrees":101.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[84,584,105],"beta":{"interval_sums":[204439,202559,188985],"interval_residues":[367,33,373],"display_cycle":[367,33,373],"intervals":[{"from_index":435,"to_index":951,"sum":204439,"residue":367},{"from_index":951,"to_index":1467,"sum":202559,"residue":33},{"from_index":1467,"to_index":435,"sum":188985,"residue":373}],"minimal_cycle":[367,33,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":367,"start_interval_clock_positions":[435,951],"circle_positions":773,"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":[436,952,1468],"clock_positions":[436,952,1468],"native_values":[9,460,304],"rotation_degrees":101.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,460,304],"beta":{"interval_sums":[205014,202204,188765],"interval_residues":[169,451,153],"display_cycle":[169,451,153],"intervals":[{"from_index":436,"to_index":952,"sum":205014,"residue":169},{"from_index":952,"to_index":1468,"sum":202204,"residue":451},{"from_index":1468,"to_index":436,"sum":188765,"residue":153}],"minimal_cycle":[169,451,153],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[436,952],"circle_positions":773,"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":[437,953,1469],"clock_positions":[437,953,1469],"native_values":[93,271,409],"rotation_degrees":101.62790697674419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,271,409],"beta":{"interval_sums":[205381,202237,188365],"interval_residues":[536,484,526],"display_cycle":[536,484,526],"intervals":[{"from_index":437,"to_index":953,"sum":205381,"residue":536},{"from_index":953,"to_index":1469,"sum":202237,"residue":484},{"from_index":1469,"to_index":437,"sum":188365,"residue":526}],"minimal_cycle":[536,484,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[437,953],"circle_positions":773,"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":[438,954,1470],"clock_positions":[438,954,1470],"native_values":[102,731,713],"rotation_degrees":101.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,731,713],"beta":{"interval_sums":[205550,201915,187745],"interval_residues":[705,162,679],"display_cycle":[705,162,679],"intervals":[{"from_index":438,"to_index":954,"sum":205550,"residue":705},{"from_index":954,"to_index":1470,"sum":201915,"residue":162},{"from_index":1470,"to_index":438,"sum":187745,"residue":679}],"minimal_cycle":[705,162,679],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":705,"start_interval_clock_positions":[438,954],"circle_positions":773,"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":[439,955,1471],"clock_positions":[439,955,1471],"native_values":[195,229,349],"rotation_degrees":102.09302325581395,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,229,349],"beta":{"interval_sums":[206086,202399,187498],"interval_residues":[468,646,432],"display_cycle":[468,646,432],"intervals":[{"from_index":439,"to_index":955,"sum":206086,"residue":468},{"from_index":955,"to_index":1471,"sum":202399,"residue":646},{"from_index":1471,"to_index":439,"sum":187498,"residue":432}],"minimal_cycle":[468,646,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[439,955],"circle_positions":773,"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":[440,956,1472],"clock_positions":[440,956,1472],"native_values":[297,187,289],"rotation_degrees":102.32558139534883,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,187,289],"beta":{"interval_sums":[206018,202561,187404],"interval_residues":[400,35,338],"display_cycle":[400,35,338],"intervals":[{"from_index":440,"to_index":956,"sum":206018,"residue":400},{"from_index":956,"to_index":1472,"sum":202561,"residue":35},{"from_index":1472,"to_index":440,"sum":187404,"residue":338}],"minimal_cycle":[400,35,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[440,956],"circle_positions":773,"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":[441,957,1473],"clock_positions":[441,957,1473],"native_values":[492,416,638],"rotation_degrees":102.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,416,638],"beta":{"interval_sums":[205713,202434,187063],"interval_residues":[95,681,770],"display_cycle":[95,681,770],"intervals":[{"from_index":441,"to_index":957,"sum":205713,"residue":95},{"from_index":957,"to_index":1473,"sum":202434,"residue":681},{"from_index":1473,"to_index":441,"sum":187063,"residue":770}],"minimal_cycle":[95,681,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[441,957],"circle_positions":773,"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":[442,958,1474],"clock_positions":[442,958,1474],"native_values":[16,603,154],"rotation_degrees":102.79069767441861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,603,154],"beta":{"interval_sums":[206113,202469,187401],"interval_residues":[495,716,335],"display_cycle":[495,716,335],"intervals":[{"from_index":442,"to_index":958,"sum":206113,"residue":495},{"from_index":958,"to_index":1474,"sum":202469,"residue":716},{"from_index":1474,"to_index":442,"sum":187401,"residue":335}],"minimal_cycle":[495,716,335],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[442,958],"circle_positions":773,"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":[443,959,1475],"clock_positions":[443,959,1475],"native_values":[508,246,19],"rotation_degrees":103.02325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[508,246,19],"beta":{"interval_sums":[206208,202377,187398],"interval_residues":[590,624,332],"display_cycle":[590,624,332],"intervals":[{"from_index":443,"to_index":959,"sum":206208,"residue":590},{"from_index":959,"to_index":1475,"sum":202377,"residue":624},{"from_index":1475,"to_index":443,"sum":187398,"residue":332}],"minimal_cycle":[590,624,332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[443,959],"circle_positions":773,"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":[444,960,1476],"clock_positions":[444,960,1476],"native_values":[524,76,173],"rotation_degrees":103.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,76,173],"beta":{"interval_sums":[205930,202320,187733],"interval_residues":[312,567,667],"display_cycle":[312,567,667],"intervals":[{"from_index":444,"to_index":960,"sum":205930,"residue":312},{"from_index":960,"to_index":1476,"sum":202320,"residue":567},{"from_index":1476,"to_index":444,"sum":187733,"residue":667}],"minimal_cycle":[312,567,667],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[444,960],"circle_positions":773,"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":[445,961,1477],"clock_positions":[445,961,1477],"native_values":[259,322,192],"rotation_degrees":103.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,322,192],"beta":{"interval_sums":[205747,202171,188065],"interval_residues":[129,418,226],"display_cycle":[129,418,226],"intervals":[{"from_index":445,"to_index":961,"sum":205747,"residue":129},{"from_index":961,"to_index":1477,"sum":202171,"residue":418},{"from_index":1477,"to_index":445,"sum":188065,"residue":226}],"minimal_cycle":[129,418,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[445,961],"circle_positions":773,"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":[446,962,1478],"clock_positions":[446,962,1478],"native_values":[10,398,365],"rotation_degrees":103.72093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,398,365],"beta":{"interval_sums":[206059,201965,187959],"interval_residues":[441,212,120],"display_cycle":[441,212,120],"intervals":[{"from_index":446,"to_index":962,"sum":206059,"residue":441},{"from_index":962,"to_index":1478,"sum":201965,"residue":212},{"from_index":1478,"to_index":446,"sum":187959,"residue":120}],"minimal_cycle":[441,212,120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[446,962],"circle_positions":773,"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":[447,963,1479],"clock_positions":[447,963,1479],"native_values":[269,720,557],"rotation_degrees":103.95348837209302,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,720,557],"beta":{"interval_sums":[206188,201610,187412],"interval_residues":[570,630,346],"display_cycle":[570,630,346],"intervals":[{"from_index":447,"to_index":963,"sum":206188,"residue":570},{"from_index":963,"to_index":1479,"sum":201610,"residue":630},{"from_index":1479,"to_index":447,"sum":187412,"residue":346}],"minimal_cycle":[570,630,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[447,963],"circle_positions":773,"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":[448,964,1480],"clock_positions":[448,964,1480],"native_values":[279,345,149],"rotation_degrees":104.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,345,149],"beta":{"interval_sums":[206629,201822,187532],"interval_residues":[238,69,466],"display_cycle":[238,69,466],"intervals":[{"from_index":448,"to_index":964,"sum":206629,"residue":238},{"from_index":964,"to_index":1480,"sum":201822,"residue":69},{"from_index":1480,"to_index":448,"sum":187532,"residue":466}],"minimal_cycle":[238,69,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[448,964],"circle_positions":773,"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":[449,965,1481],"clock_positions":[449,965,1481],"native_values":[548,292,706],"rotation_degrees":104.4186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,292,706],"beta":{"interval_sums":[206426,201679,187105],"interval_residues":[35,699,39],"display_cycle":[35,699,39],"intervals":[{"from_index":449,"to_index":965,"sum":206426,"residue":35},{"from_index":965,"to_index":1481,"sum":201679,"residue":699},{"from_index":1481,"to_index":449,"sum":187105,"residue":39}],"minimal_cycle":[35,699,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[449,965],"circle_positions":773,"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":[450,966,1482],"clock_positions":[450,966,1482],"native_values":[54,637,82],"rotation_degrees":104.65116279069767,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[54,637,82],"beta":{"interval_sums":[206664,201748,187571],"interval_residues":[273,768,505],"display_cycle":[273,768,505],"intervals":[{"from_index":450,"to_index":966,"sum":206664,"residue":273},{"from_index":966,"to_index":1482,"sum":201748,"residue":768},{"from_index":1482,"to_index":450,"sum":187571,"residue":505}],"minimal_cycle":[273,768,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[450,966],"circle_positions":773,"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":[451,967,1483],"clock_positions":[451,967,1483],"native_values":[602,156,15],"rotation_degrees":104.88372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[602,156,15],"beta":{"interval_sums":[206699,201674,187610],"interval_residues":[308,694,544],"display_cycle":[308,694,544],"intervals":[{"from_index":451,"to_index":967,"sum":206699,"residue":308},{"from_index":967,"to_index":1483,"sum":201674,"residue":694},{"from_index":1483,"to_index":451,"sum":187610,"residue":544}],"minimal_cycle":[308,694,544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[451,967],"circle_positions":773,"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":[452,968,1484],"clock_positions":[452,968,1484],"native_values":[656,20,97],"rotation_degrees":105.11627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[656,20,97],"beta":{"interval_sums":[206199,201669,188115],"interval_residues":[581,689,276],"display_cycle":[581,689,276],"intervals":[{"from_index":452,"to_index":968,"sum":206199,"residue":581},{"from_index":968,"to_index":1484,"sum":201669,"residue":689},{"from_index":1484,"to_index":452,"sum":188115,"residue":276}],"minimal_cycle":[581,689,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[452,968],"circle_positions":773,"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":[453,969,1485],"clock_positions":[453,969,1485],"native_values":[485,176,112],"rotation_degrees":105.34883720930233,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,176,112],"beta":{"interval_sums":[205734,201590,188659],"interval_residues":[116,610,47],"display_cycle":[116,610,47],"intervals":[{"from_index":453,"to_index":969,"sum":205734,"residue":116},{"from_index":969,"to_index":1485,"sum":201590,"residue":610},{"from_index":1485,"to_index":453,"sum":188659,"residue":47}],"minimal_cycle":[116,610,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[453,969],"circle_positions":773,"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":[454,970,1486],"clock_positions":[454,970,1486],"native_values":[368,196,209],"rotation_degrees":105.5813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,196,209],"beta":{"interval_sums":[205542,201506,188935],"interval_residues":[697,526,323],"display_cycle":[697,526,323],"intervals":[{"from_index":454,"to_index":970,"sum":205542,"residue":697},{"from_index":970,"to_index":1486,"sum":201506,"residue":526},{"from_index":1486,"to_index":454,"sum":188935,"residue":323}],"minimal_cycle":[697,526,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":697,"start_interval_clock_positions":[454,970],"circle_positions":773,"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":[455,971,1487],"clock_positions":[455,971,1487],"native_values":[80,372,321],"rotation_degrees":105.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,372,321],"beta":{"interval_sums":[205658,201343,188982],"interval_residues":[40,363,370],"display_cycle":[40,363,370],"intervals":[{"from_index":455,"to_index":971,"sum":205658,"residue":40},{"from_index":971,"to_index":1487,"sum":201343,"residue":363},{"from_index":1487,"to_index":455,"sum":188982,"residue":370}],"minimal_cycle":[40,363,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[455,971],"circle_positions":773,"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":[456,972,1488],"clock_positions":[456,972,1488],"native_values":[448,568,530],"rotation_degrees":106.04651162790698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,568,530],"beta":{"interval_sums":[205582,201096,188532],"interval_residues":[737,116,693],"display_cycle":[737,116,693],"intervals":[{"from_index":456,"to_index":972,"sum":205582,"residue":737},{"from_index":972,"to_index":1488,"sum":201096,"residue":116},{"from_index":1488,"to_index":456,"sum":188532,"residue":693}],"minimal_cycle":[737,116,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":737,"start_interval_clock_positions":[456,972],"circle_positions":773,"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":[457,973,1489],"clock_positions":[457,973,1489],"native_values":[528,167,78],"rotation_degrees":106.27906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,167,78],"beta":{"interval_sums":[205622,201459,188902],"interval_residues":[4,479,290],"display_cycle":[4,479,290],"intervals":[{"from_index":457,"to_index":973,"sum":205622,"residue":4},{"from_index":973,"to_index":1489,"sum":201459,"residue":479},{"from_index":1489,"to_index":457,"sum":188902,"residue":290}],"minimal_cycle":[4,479,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[457,973],"circle_positions":773,"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":[458,974,1490],"clock_positions":[458,974,1490],"native_values":[203,735,608],"rotation_degrees":106.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,735,608],"beta":{"interval_sums":[205586,200802,188822],"interval_residues":[741,595,210],"display_cycle":[741,595,210],"intervals":[{"from_index":458,"to_index":974,"sum":205586,"residue":741},{"from_index":974,"to_index":1490,"sum":200802,"residue":595},{"from_index":1490,"to_index":458,"sum":188822,"residue":210}],"minimal_cycle":[741,595,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[458,974],"circle_positions":773,"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":[459,975,1491],"clock_positions":[459,975,1491],"native_values":[731,129,686],"rotation_degrees":106.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[731,129,686],"beta":{"interval_sums":[205590,201281,188339],"interval_residues":[745,301,500],"display_cycle":[745,301,500],"intervals":[{"from_index":459,"to_index":975,"sum":205590,"residue":745},{"from_index":975,"to_index":1491,"sum":201281,"residue":301},{"from_index":1491,"to_index":459,"sum":188339,"residue":500}],"minimal_cycle":[745,301,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[459,975],"circle_positions":773,"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":[460,976,1492],"clock_positions":[460,976,1492],"native_values":[161,91,521],"rotation_degrees":106.97674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,91,521],"beta":{"interval_sums":[205558,201876,188549],"interval_residues":[713,123,710],"display_cycle":[713,123,710],"intervals":[{"from_index":460,"to_index":976,"sum":205558,"residue":713},{"from_index":976,"to_index":1492,"sum":201876,"residue":123},{"from_index":1492,"to_index":460,"sum":188549,"residue":710}],"minimal_cycle":[713,123,710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[460,976],"circle_positions":773,"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":[461,977,1493],"clock_positions":[461,977,1493],"native_values":[119,220,434],"rotation_degrees":107.20930232558139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,220,434],"beta":{"interval_sums":[205530,202177,188276],"interval_residues":[685,424,437],"display_cycle":[685,424,437],"intervals":[{"from_index":461,"to_index":977,"sum":205530,"residue":685},{"from_index":977,"to_index":1493,"sum":202177,"residue":424},{"from_index":1493,"to_index":461,"sum":188276,"residue":437}],"minimal_cycle":[685,424,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":685,"start_interval_clock_positions":[461,977],"circle_positions":773,"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":[462,978,1494],"clock_positions":[462,978,1494],"native_values":[280,311,182],"rotation_degrees":107.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[280,311,182],"beta":{"interval_sums":[205470,202300,188213],"interval_residues":[625,547,374],"display_cycle":[625,547,374],"intervals":[{"from_index":462,"to_index":978,"sum":205470,"residue":625},{"from_index":978,"to_index":1494,"sum":202300,"residue":547},{"from_index":1494,"to_index":462,"sum":188213,"residue":374}],"minimal_cycle":[625,547,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":625,"start_interval_clock_positions":[462,978],"circle_positions":773,"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":[463,979,1495],"clock_positions":[463,979,1495],"native_values":[399,531,616],"rotation_degrees":107.67441860465117,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,531,616],"beta":{"interval_sums":[205382,201951,187877],"interval_residues":[537,198,38],"display_cycle":[537,198,38],"intervals":[{"from_index":463,"to_index":979,"sum":205382,"residue":537},{"from_index":979,"to_index":1495,"sum":201951,"residue":198},{"from_index":1495,"to_index":463,"sum":187877,"residue":38}],"minimal_cycle":[537,198,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[463,979],"circle_positions":773,"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":[464,980,1496],"clock_positions":[464,980,1496],"native_values":[679,69,25],"rotation_degrees":107.90697674418605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,69,25],"beta":{"interval_sums":[205234,202498,188251],"interval_residues":[389,745,412],"display_cycle":[389,745,412],"intervals":[{"from_index":464,"to_index":980,"sum":205234,"residue":389},{"from_index":980,"to_index":1496,"sum":202498,"residue":745},{"from_index":1496,"to_index":464,"sum":188251,"residue":412}],"minimal_cycle":[389,745,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[464,980],"circle_positions":773,"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":[465,981,1497],"clock_positions":[465,981,1497],"native_values":[305,600,641],"rotation_degrees":108.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,600,641],"beta":{"interval_sums":[204998,201923,188289],"interval_residues":[153,170,450],"display_cycle":[153,170,450],"intervals":[{"from_index":465,"to_index":981,"sum":204998,"residue":153},{"from_index":981,"to_index":1497,"sum":201923,"residue":170},{"from_index":1497,"to_index":465,"sum":188289,"residue":450}],"minimal_cycle":[153,170,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[465,981],"circle_positions":773,"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":[466,982,1498],"clock_positions":[466,982,1498],"native_values":[211,669,666],"rotation_degrees":108.37209302325581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,669,666],"beta":{"interval_sums":[205387,201895,187928],"interval_residues":[542,142,89],"display_cycle":[542,142,89],"intervals":[{"from_index":466,"to_index":982,"sum":205387,"residue":542},{"from_index":982,"to_index":1498,"sum":201895,"residue":142},{"from_index":1498,"to_index":466,"sum":187928,"residue":89}],"minimal_cycle":[542,142,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[466,982],"circle_positions":773,"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":[467,983,1499],"clock_positions":[467,983,1499],"native_values":[516,496,534],"rotation_degrees":108.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[516,496,534],"beta":{"interval_sums":[205540,202065,187605],"interval_residues":[695,312,539],"display_cycle":[695,312,539],"intervals":[{"from_index":467,"to_index":983,"sum":205540,"residue":695},{"from_index":983,"to_index":1499,"sum":202065,"residue":312},{"from_index":1499,"to_index":467,"sum":187605,"residue":539}],"minimal_cycle":[695,312,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[467,983],"circle_positions":773,"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":[468,984,1500],"clock_positions":[468,984,1500],"native_values":[727,392,427],"rotation_degrees":108.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,392,427],"beta":{"interval_sums":[205309,202207,187694],"interval_residues":[464,454,628],"display_cycle":[464,454,628],"intervals":[{"from_index":468,"to_index":984,"sum":205309,"residue":464},{"from_index":984,"to_index":1500,"sum":202207,"residue":454},{"from_index":1500,"to_index":468,"sum":187694,"residue":628}],"minimal_cycle":[464,454,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[468,984],"circle_positions":773,"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":[469,985,1501],"clock_positions":[469,985,1501],"native_values":[470,115,188],"rotation_degrees":109.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[470,115,188],"beta":{"interval_sums":[205231,202519,188233],"interval_residues":[386,766,394],"display_cycle":[386,766,394],"intervals":[{"from_index":469,"to_index":985,"sum":205231,"residue":386},{"from_index":985,"to_index":1501,"sum":202519,"residue":766},{"from_index":1501,"to_index":469,"sum":188233,"residue":394}],"minimal_cycle":[386,766,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[469,985],"circle_positions":773,"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":[470,986,1502],"clock_positions":[470,986,1502],"native_values":[424,507,615],"rotation_degrees":109.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,507,615],"beta":{"interval_sums":[204922,202200,188088],"interval_residues":[77,447,249],"display_cycle":[77,447,249],"intervals":[{"from_index":470,"to_index":986,"sum":204922,"residue":77},{"from_index":986,"to_index":1502,"sum":202200,"residue":447},{"from_index":1502,"to_index":470,"sum":188088,"residue":249}],"minimal_cycle":[77,447,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[470,986],"circle_positions":773,"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":[471,987,1503],"clock_positions":[471,987,1503],"native_values":[121,622,30],"rotation_degrees":109.53488372093024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,622,30],"beta":{"interval_sums":[205308,202193,188482],"interval_residues":[463,440,643],"display_cycle":[463,440,643],"intervals":[{"from_index":471,"to_index":987,"sum":205308,"residue":463},{"from_index":987,"to_index":1503,"sum":202193,"residue":440},{"from_index":1503,"to_index":471,"sum":188482,"residue":643}],"minimal_cycle":[463,440,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":463,"start_interval_clock_positions":[471,987],"circle_positions":773,"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":[472,988,1504],"clock_positions":[472,988,1504],"native_values":[545,356,645],"rotation_degrees":109.76744186046511,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,356,645],"beta":{"interval_sums":[205385,201867,187958],"interval_residues":[540,114,119],"display_cycle":[540,114,119],"intervals":[{"from_index":472,"to_index":988,"sum":205385,"residue":540},{"from_index":988,"to_index":1504,"sum":201867,"residue":114},{"from_index":1504,"to_index":472,"sum":187958,"residue":119}],"minimal_cycle":[540,114,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[472,988],"circle_positions":773,"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":[473,989,1505],"clock_positions":[473,989,1505],"native_values":[666,205,675],"rotation_degrees":110.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,205,675],"beta":{"interval_sums":[205075,202307,187828],"interval_residues":[230,554,762],"display_cycle":[230,554,762],"intervals":[{"from_index":473,"to_index":989,"sum":205075,"residue":230},{"from_index":989,"to_index":1505,"sum":202307,"residue":554},{"from_index":1505,"to_index":473,"sum":187828,"residue":762}],"minimal_cycle":[230,554,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[473,989],"circle_positions":773,"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":[474,990,1506],"clock_positions":[474,990,1506],"native_values":[438,561,547],"rotation_degrees":110.23255813953489,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,561,547],"beta":{"interval_sums":[204842,202421,187947],"interval_residues":[770,668,108],"display_cycle":[770,668,108],"intervals":[{"from_index":474,"to_index":990,"sum":204842,"residue":770},{"from_index":990,"to_index":1506,"sum":202421,"residue":668},{"from_index":1506,"to_index":474,"sum":187947,"residue":108}],"minimal_cycle":[770,668,108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[474,990],"circle_positions":773,"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":[475,991,1507],"clock_positions":[475,991,1507],"native_values":[331,766,449],"rotation_degrees":110.46511627906976,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,766,449],"beta":{"interval_sums":[205072,202202,187936],"interval_residues":[227,449,97],"display_cycle":[227,449,97],"intervals":[{"from_index":475,"to_index":991,"sum":205072,"residue":227},{"from_index":991,"to_index":1507,"sum":202202,"residue":449},{"from_index":1507,"to_index":475,"sum":187936,"residue":97}],"minimal_cycle":[227,449,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[475,991],"circle_positions":773,"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":[476,992,1508],"clock_positions":[476,992,1508],"native_values":[769,554,223],"rotation_degrees":110.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,554,223],"beta":{"interval_sums":[205069,202097,188044],"interval_residues":[224,344,205],"display_cycle":[224,344,205],"intervals":[{"from_index":476,"to_index":992,"sum":205069,"residue":224},{"from_index":992,"to_index":1508,"sum":202097,"residue":344},{"from_index":1508,"to_index":476,"sum":188044,"residue":205}],"minimal_cycle":[224,344,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[476,992],"circle_positions":773,"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":[477,993,1509],"clock_positions":[477,993,1509],"native_values":[327,547,672],"rotation_degrees":110.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,547,672],"beta":{"interval_sums":[205296,201773,188141],"interval_residues":[451,20,302],"display_cycle":[451,20,302],"intervals":[{"from_index":477,"to_index":993,"sum":205296,"residue":451},{"from_index":993,"to_index":1509,"sum":201773,"residue":20},{"from_index":1509,"to_index":477,"sum":188141,"residue":302}],"minimal_cycle":[451,20,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[477,993],"circle_positions":773,"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":[478,994,1510],"clock_positions":[478,994,1510],"native_values":[323,328,122],"rotation_degrees":111.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,328,122],"beta":{"interval_sums":[205520,202117,188346],"interval_residues":[675,364,507],"display_cycle":[675,364,507],"intervals":[{"from_index":478,"to_index":994,"sum":205520,"residue":675},{"from_index":994,"to_index":1510,"sum":202117,"residue":364},{"from_index":1510,"to_index":478,"sum":188346,"residue":507}],"minimal_cycle":[675,364,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[478,994],"circle_positions":773,"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":[479,995,1511],"clock_positions":[479,995,1511],"native_values":[650,102,21],"rotation_degrees":111.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,102,21],"beta":{"interval_sums":[205198,202137,188648],"interval_residues":[353,384,36],"display_cycle":[353,384,36],"intervals":[{"from_index":479,"to_index":995,"sum":205198,"residue":353},{"from_index":995,"to_index":1511,"sum":202137,"residue":384},{"from_index":1511,"to_index":479,"sum":188648,"residue":36}],"minimal_cycle":[353,384,36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[479,995],"circle_positions":773,"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":[480,996,1512],"clock_positions":[480,996,1512],"native_values":[200,430,143],"rotation_degrees":111.62790697674419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,430,143],"beta":{"interval_sums":[205100,201728,189155],"interval_residues":[255,748,543],"display_cycle":[255,748,543],"intervals":[{"from_index":480,"to_index":996,"sum":205100,"residue":255},{"from_index":996,"to_index":1512,"sum":201728,"residue":748},{"from_index":1512,"to_index":480,"sum":189155,"residue":543}],"minimal_cycle":[255,748,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[480,996],"circle_positions":773,"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":[481,997,1513],"clock_positions":[481,997,1513],"native_values":[77,532,164],"rotation_degrees":111.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,532,164],"beta":{"interval_sums":[205453,201339,189191],"interval_residues":[608,359,579],"display_cycle":[608,359,579],"intervals":[{"from_index":481,"to_index":997,"sum":205453,"residue":608},{"from_index":997,"to_index":1513,"sum":201339,"residue":359},{"from_index":1513,"to_index":481,"sum":189191,"residue":579}],"minimal_cycle":[608,359,579],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[481,997],"circle_positions":773,"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":[482,998,1514],"clock_positions":[482,998,1514],"native_values":[277,189,307],"rotation_degrees":112.09302325581395,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,189,307],"beta":{"interval_sums":[205708,201314,188961],"interval_residues":[90,334,349],"display_cycle":[90,334,349],"intervals":[{"from_index":482,"to_index":998,"sum":205708,"residue":90},{"from_index":998,"to_index":1514,"sum":201314,"residue":334},{"from_index":1514,"to_index":482,"sum":188961,"residue":349}],"minimal_cycle":[90,334,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[482,998],"circle_positions":773,"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":[483,999,1515],"clock_positions":[483,999,1515],"native_values":[354,721,471],"rotation_degrees":112.32558139534883,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,721,471],"beta":{"interval_sums":[205543,200900,188767],"interval_residues":[698,693,155],"display_cycle":[698,693,155],"intervals":[{"from_index":483,"to_index":999,"sum":205543,"residue":698},{"from_index":999,"to_index":1515,"sum":200900,"residue":693},{"from_index":1515,"to_index":483,"sum":188767,"residue":155}],"minimal_cycle":[698,693,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[483,999],"circle_positions":773,"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":[484,1000,1516],"clock_positions":[484,1000,1516],"native_values":[631,137,5],"rotation_degrees":112.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,137,5],"beta":{"interval_sums":[205633,201234,189116],"interval_residues":[15,254,504],"display_cycle":[15,254,504],"intervals":[{"from_index":484,"to_index":1000,"sum":205633,"residue":15},{"from_index":1000,"to_index":1516,"sum":201234,"residue":254},{"from_index":1516,"to_index":484,"sum":189116,"residue":504}],"minimal_cycle":[15,254,504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[484,1000],"circle_positions":773,"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":[485,1001,1517],"clock_positions":[485,1001,1517],"native_values":[212,85,476],"rotation_degrees":112.79069767441861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,85,476],"beta":{"interval_sums":[205558,201154,189271],"interval_residues":[713,174,659],"display_cycle":[713,174,659],"intervals":[{"from_index":485,"to_index":1001,"sum":205558,"residue":713},{"from_index":1001,"to_index":1517,"sum":201154,"residue":174},{"from_index":1517,"to_index":485,"sum":189271,"residue":659}],"minimal_cycle":[713,174,659],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[485,1001],"circle_positions":773,"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":[486,1002,1518],"clock_positions":[486,1002,1518],"native_values":[70,222,481],"rotation_degrees":113.02325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,222,481],"beta":{"interval_sums":[205573,201408,189002],"interval_residues":[728,428,390],"display_cycle":[728,428,390],"intervals":[{"from_index":486,"to_index":1002,"sum":205573,"residue":728},{"from_index":1002,"to_index":1518,"sum":201408,"residue":428},{"from_index":1518,"to_index":486,"sum":189002,"residue":390}],"minimal_cycle":[728,428,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[486,1002],"circle_positions":773,"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":[487,1003,1519],"clock_positions":[487,1003,1519],"native_values":[282,307,184],"rotation_degrees":113.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,307,184],"beta":{"interval_sums":[205513,201582,188888],"interval_residues":[668,602,276],"display_cycle":[668,602,276],"intervals":[{"from_index":487,"to_index":1003,"sum":205513,"residue":668},{"from_index":1003,"to_index":1519,"sum":201582,"residue":602},{"from_index":1519,"to_index":487,"sum":188888,"residue":276}],"minimal_cycle":[668,602,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":668,"start_interval_clock_positions":[487,1003],"circle_positions":773,"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":[488,1004,1520],"clock_positions":[488,1004,1520],"native_values":[352,529,665],"rotation_degrees":113.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[352,529,665],"beta":{"interval_sums":[205468,201237,188505],"interval_residues":[623,257,666],"display_cycle":[623,257,666],"intervals":[{"from_index":488,"to_index":1004,"sum":205468,"residue":623},{"from_index":1004,"to_index":1520,"sum":201237,"residue":257},{"from_index":1520,"to_index":488,"sum":188505,"residue":666}],"minimal_cycle":[623,257,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[488,1004],"circle_positions":773,"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":[489,1005,1521],"clock_positions":[489,1005,1521],"native_values":[634,63,76],"rotation_degrees":113.72093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,63,76],"beta":{"interval_sums":[205363,201839,188781],"interval_residues":[518,86,169],"display_cycle":[518,86,169],"intervals":[{"from_index":489,"to_index":1005,"sum":205363,"residue":518},{"from_index":1005,"to_index":1521,"sum":201839,"residue":86},{"from_index":1521,"to_index":489,"sum":188781,"residue":169}],"minimal_cycle":[518,86,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[489,1005],"circle_positions":773,"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":[490,1006,1522],"clock_positions":[490,1006,1522],"native_values":[213,592,741],"rotation_degrees":113.95348837209302,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,592,741],"beta":{"interval_sums":[205213,201323,188674],"interval_residues":[368,343,62],"display_cycle":[368,343,62],"intervals":[{"from_index":490,"to_index":1006,"sum":205213,"residue":368},{"from_index":1006,"to_index":1522,"sum":201323,"residue":343},{"from_index":1522,"to_index":490,"sum":188674,"residue":62}],"minimal_cycle":[368,343,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[490,1006],"circle_positions":773,"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":[491,1007,1523],"clock_positions":[491,1007,1523],"native_values":[74,655,44],"rotation_degrees":114.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,655,44],"beta":{"interval_sums":[205731,201409,188843],"interval_residues":[113,429,231],"display_cycle":[113,429,231],"intervals":[{"from_index":491,"to_index":1007,"sum":205731,"residue":113},{"from_index":1007,"to_index":1523,"sum":201409,"residue":429},{"from_index":1523,"to_index":491,"sum":188843,"residue":231}],"minimal_cycle":[113,429,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[491,1007],"circle_positions":773,"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":[492,1008,1524],"clock_positions":[492,1008,1524],"native_values":[287,474,12],"rotation_degrees":114.4186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,474,12],"beta":{"interval_sums":[206099,200979,188905],"interval_residues":[481,772,293],"display_cycle":[481,772,293],"intervals":[{"from_index":492,"to_index":1008,"sum":206099,"residue":481},{"from_index":1008,"to_index":1524,"sum":200979,"residue":772},{"from_index":1524,"to_index":492,"sum":188905,"residue":293}],"minimal_cycle":[481,772,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":481,"start_interval_clock_positions":[492,1008],"circle_positions":773,"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":[493,1009,1525],"clock_positions":[493,1009,1525],"native_values":[361,356,56],"rotation_degrees":114.65116279069767,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,356,56],"beta":{"interval_sums":[206212,200635,189136],"interval_residues":[594,428,524],"display_cycle":[594,428,524],"intervals":[{"from_index":493,"to_index":1009,"sum":206212,"residue":594},{"from_index":1009,"to_index":1525,"sum":200635,"residue":428},{"from_index":1525,"to_index":493,"sum":189136,"residue":524}],"minimal_cycle":[594,428,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[493,1009],"circle_positions":773,"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":[494,1010,1526],"clock_positions":[494,1010,1526],"native_values":[648,57,68],"rotation_degrees":114.88372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[648,57,68],"beta":{"interval_sums":[205920,200634,189429],"interval_residues":[302,427,44],"display_cycle":[302,427,44],"intervals":[{"from_index":494,"to_index":1010,"sum":205920,"residue":302},{"from_index":1010,"to_index":1526,"sum":200634,"residue":427},{"from_index":1526,"to_index":494,"sum":189429,"residue":44}],"minimal_cycle":[302,427,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[494,1010],"circle_positions":773,"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":[495,1011,1527],"clock_positions":[495,1011,1527],"native_values":[236,413,124],"rotation_degrees":115.11627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,413,124],"beta":{"interval_sums":[205741,200289,189953],"interval_residues":[123,82,568],"display_cycle":[123,82,568],"intervals":[{"from_index":495,"to_index":1011,"sum":205741,"residue":123},{"from_index":1011,"to_index":1527,"sum":200289,"residue":82},{"from_index":1527,"to_index":495,"sum":189953,"residue":568}],"minimal_cycle":[123,82,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[495,1011],"circle_positions":773,"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":[496,1012,1528],"clock_positions":[496,1012,1528],"native_values":[111,470,192],"rotation_degrees":115.34883720930233,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,470,192],"beta":{"interval_sums":[206043,199943,189997],"interval_residues":[425,509,612],"display_cycle":[425,509,612],"intervals":[{"from_index":496,"to_index":1012,"sum":206043,"residue":425},{"from_index":1012,"to_index":1528,"sum":199943,"residue":509},{"from_index":1528,"to_index":496,"sum":189997,"residue":612}],"minimal_cycle":[425,509,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[496,1012],"circle_positions":773,"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":[497,1013,1529],"clock_positions":[497,1013,1529],"native_values":[347,110,316],"rotation_degrees":115.5813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,110,316],"beta":{"interval_sums":[206166,200025,189792],"interval_residues":[548,591,407],"display_cycle":[548,591,407],"intervals":[{"from_index":497,"to_index":1013,"sum":206166,"residue":548},{"from_index":1013,"to_index":1529,"sum":200025,"residue":591},{"from_index":1529,"to_index":497,"sum":189792,"residue":407}],"minimal_cycle":[548,591,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[497,1013],"circle_positions":773,"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":[498,1014,1530],"clock_positions":[498,1014,1530],"native_values":[458,580,508],"rotation_degrees":115.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,580,508],"beta":{"interval_sums":[205818,199761,189631],"interval_residues":[200,327,246],"display_cycle":[200,327,246],"intervals":[{"from_index":498,"to_index":1014,"sum":205818,"residue":200},{"from_index":1014,"to_index":1530,"sum":199761,"residue":327},{"from_index":1530,"to_index":498,"sum":189631,"residue":246}],"minimal_cycle":[200,327,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[498,1014],"circle_positions":773,"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":[499,1015,1531],"clock_positions":[499,1015,1531],"native_values":[32,690,51],"rotation_degrees":116.04651162790698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[32,690,51],"beta":{"interval_sums":[206366,199579,190038],"interval_residues":[748,145,653],"display_cycle":[748,145,653],"intervals":[{"from_index":499,"to_index":1015,"sum":206366,"residue":748},{"from_index":1015,"to_index":1531,"sum":199579,"residue":145},{"from_index":1531,"to_index":499,"sum":190038,"residue":653}],"minimal_cycle":[748,145,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":748,"start_interval_clock_positions":[499,1015],"circle_positions":773,"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":[500,1016,1532],"clock_positions":[500,1016,1532],"native_values":[490,497,559],"rotation_degrees":116.27906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[490,497,559],"beta":{"interval_sums":[206566,199133,189511],"interval_residues":[175,472,126],"display_cycle":[175,472,126],"intervals":[{"from_index":500,"to_index":1016,"sum":206566,"residue":175},{"from_index":1016,"to_index":1532,"sum":199133,"residue":472},{"from_index":1532,"to_index":500,"sum":189511,"residue":126}],"minimal_cycle":[175,472,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[500,1016],"circle_positions":773,"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":[501,1017,1533],"clock_positions":[501,1017,1533],"native_values":[522,414,610],"rotation_degrees":116.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,414,610],"beta":{"interval_sums":[206541,199278,189391],"interval_residues":[150,617,6],"display_cycle":[150,617,6],"intervals":[{"from_index":501,"to_index":1017,"sum":206541,"residue":150},{"from_index":1017,"to_index":1533,"sum":199278,"residue":617},{"from_index":1533,"to_index":501,"sum":189391,"residue":6}],"minimal_cycle":[150,617,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[501,1017],"circle_positions":773,"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":[502,1018,1534],"clock_positions":[502,1018,1534],"native_values":[239,138,396],"rotation_degrees":116.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,138,396],"beta":{"interval_sums":[206716,199750,189517],"interval_residues":[325,316,132],"display_cycle":[325,316,132],"intervals":[{"from_index":502,"to_index":1018,"sum":206716,"residue":325},{"from_index":1018,"to_index":1534,"sum":199750,"residue":316},{"from_index":1534,"to_index":502,"sum":189517,"residue":132}],"minimal_cycle":[325,316,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[502,1018],"circle_positions":773,"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":[503,1019,1535],"clock_positions":[503,1019,1535],"native_values":[761,552,233],"rotation_degrees":116.97674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[761,552,233],"beta":{"interval_sums":[206093,199594,189523],"interval_residues":[475,160,138],"display_cycle":[475,160,138],"intervals":[{"from_index":503,"to_index":1019,"sum":206093,"residue":475},{"from_index":1019,"to_index":1535,"sum":199594,"residue":160},{"from_index":1535,"to_index":503,"sum":189523,"residue":138}],"minimal_cycle":[475,160,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[503,1019],"circle_positions":773,"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":[504,1020,1536],"clock_positions":[504,1020,1536],"native_values":[227,690,629],"rotation_degrees":117.20930232558139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,690,629],"beta":{"interval_sums":[206418,199137,189655],"interval_residues":[27,476,270],"display_cycle":[27,476,270],"intervals":[{"from_index":504,"to_index":1020,"sum":206418,"residue":27},{"from_index":1020,"to_index":1536,"sum":199137,"residue":476},{"from_index":1536,"to_index":504,"sum":189655,"residue":270}],"minimal_cycle":[27,476,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[504,1020],"circle_positions":773,"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":[505,1021,1537],"clock_positions":[505,1021,1537],"native_values":[215,469,89],"rotation_degrees":117.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,469,89],"beta":{"interval_sums":[206893,199297,189793],"interval_residues":[502,636,408],"display_cycle":[502,636,408],"intervals":[{"from_index":505,"to_index":1021,"sum":206893,"residue":502},{"from_index":1021,"to_index":1537,"sum":199297,"residue":636},{"from_index":1537,"to_index":505,"sum":189793,"residue":408}],"minimal_cycle":[502,636,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[505,1021],"circle_positions":773,"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":[506,1022,1538],"clock_positions":[506,1022,1538],"native_values":[442,386,718],"rotation_degrees":117.67441860465117,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[442,386,718],"beta":{"interval_sums":[206920,199000,189290],"interval_residues":[529,339,678],"display_cycle":[529,339,678],"intervals":[{"from_index":506,"to_index":1022,"sum":206920,"residue":529},{"from_index":1022,"to_index":1538,"sum":199000,"residue":339},{"from_index":1538,"to_index":506,"sum":189290,"residue":678}],"minimal_cycle":[529,339,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[506,1022],"circle_positions":773,"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":[507,1023,1539],"clock_positions":[507,1023,1539],"native_values":[657,82,34],"rotation_degrees":117.90697674418605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,82,34],"beta":{"interval_sums":[206649,199636,189698],"interval_residues":[258,202,313],"display_cycle":[258,202,313],"intervals":[{"from_index":507,"to_index":1023,"sum":206649,"residue":258},{"from_index":1023,"to_index":1539,"sum":199636,"residue":202},{"from_index":1539,"to_index":507,"sum":189698,"residue":313}],"minimal_cycle":[258,202,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[507,1023],"circle_positions":773,"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":[508,1024,1540],"clock_positions":[508,1024,1540],"native_values":[326,468,752],"rotation_degrees":118.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,468,752],"beta":{"interval_sums":[206405,199202,189603],"interval_residues":[14,541,218],"display_cycle":[14,541,218],"intervals":[{"from_index":508,"to_index":1024,"sum":206405,"residue":14},{"from_index":1024,"to_index":1540,"sum":199202,"residue":541},{"from_index":1540,"to_index":508,"sum":189603,"residue":218}],"minimal_cycle":[14,541,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[508,1024],"circle_positions":773,"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":[509,1025,1541],"clock_positions":[509,1025,1541],"native_values":[210,550,13],"rotation_degrees":118.37209302325581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,550,13],"beta":{"interval_sums":[206663,199404,189916],"interval_residues":[272,743,531],"display_cycle":[272,743,531],"intervals":[{"from_index":509,"to_index":1025,"sum":206663,"residue":272},{"from_index":1025,"to_index":1541,"sum":199404,"residue":743},{"from_index":1541,"to_index":509,"sum":189916,"residue":531}],"minimal_cycle":[272,743,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[509,1025],"circle_positions":773,"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":[510,1026,1542],"clock_positions":[510,1026,1542],"native_values":[536,245,765],"rotation_degrees":118.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,245,765],"beta":{"interval_sums":[206677,199172,189361],"interval_residues":[286,511,749],"display_cycle":[286,511,749],"intervals":[{"from_index":510,"to_index":1026,"sum":206677,"residue":286},{"from_index":1026,"to_index":1542,"sum":199172,"residue":511},{"from_index":1542,"to_index":510,"sum":189361,"residue":749}],"minimal_cycle":[286,511,749],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[510,1026],"circle_positions":773,"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":[511,1027,1543],"clock_positions":[511,1027,1543],"native_values":[746,22,5],"rotation_degrees":118.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[746,22,5],"beta":{"interval_sums":[206176,199915,189892],"interval_residues":[558,481,507],"display_cycle":[558,481,507],"intervals":[{"from_index":511,"to_index":1027,"sum":206176,"residue":558},{"from_index":1027,"to_index":1543,"sum":199915,"residue":481},{"from_index":1543,"to_index":511,"sum":189892,"residue":507}],"minimal_cycle":[558,481,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[511,1027],"circle_positions":773,"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":[512,1028,1544],"clock_positions":[512,1028,1544],"native_values":[509,267,770],"rotation_degrees":119.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,267,770],"beta":{"interval_sums":[205689,199653,189868],"interval_residues":[71,219,483],"display_cycle":[71,219,483],"intervals":[{"from_index":512,"to_index":1028,"sum":205689,"residue":71},{"from_index":1028,"to_index":1544,"sum":199653,"residue":219},{"from_index":1544,"to_index":512,"sum":189868,"residue":483}],"minimal_cycle":[71,219,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[512,1028],"circle_positions":773,"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":[513,1029,1545],"clock_positions":[513,1029,1545],"native_values":[482,289,2],"rotation_degrees":119.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,289,2],"beta":{"interval_sums":[205474,200134,190375],"interval_residues":[629,700,217],"display_cycle":[629,700,217],"intervals":[{"from_index":513,"to_index":1029,"sum":205474,"residue":629},{"from_index":1029,"to_index":1545,"sum":200134,"residue":700},{"from_index":1545,"to_index":513,"sum":190375,"residue":217}],"minimal_cycle":[629,700,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[513,1029],"circle_positions":773,"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":[514,1030,1546],"clock_positions":[514,1030,1546],"native_values":[218,556,772],"rotation_degrees":119.53488372093024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[218,556,772],"beta":{"interval_sums":[205545,199580,190085],"interval_residues":[700,146,700],"display_cycle":[700,146,700],"intervals":[{"from_index":514,"to_index":1030,"sum":205545,"residue":700},{"from_index":1030,"to_index":1546,"sum":199580,"residue":146},{"from_index":1546,"to_index":514,"sum":190085,"residue":700}],"minimal_cycle":[700,146,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[514,1030],"circle_positions":773,"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":[515,1031,1547],"clock_positions":[515,1031,1547],"native_values":[700,72,1],"rotation_degrees":119.76744186046511,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[700,72,1],"beta":{"interval_sums":[205401,200280,190302],"interval_residues":[556,73,144],"display_cycle":[556,73,144],"intervals":[{"from_index":515,"to_index":1031,"sum":205401,"residue":556},{"from_index":1031,"to_index":1547,"sum":200280,"residue":73},{"from_index":1547,"to_index":515,"sum":190302,"residue":144}],"minimal_cycle":[556,73,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[515,1031],"circle_positions":773,"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":[0,258,516,774,1032,1290],"clock_positions":[1548,258,516,774,1032,1290],"native_values":[773,145,145,773,628,628],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[773,145,145,773,628,628],"beta":{"interval_sums":[93605,97252,100272,105056,100636,98389],"interval_residues":[72,627,555,701,146,218],"display_cycle":[72,627,555,701,146,218],"intervals":[{"from_index":0,"to_index":258,"sum":93605,"residue":72},{"from_index":258,"to_index":516,"sum":97252,"residue":627},{"from_index":516,"to_index":774,"sum":100272,"residue":555},{"from_index":774,"to_index":1032,"sum":105056,"residue":701},{"from_index":1032,"to_index":1290,"sum":100636,"residue":146},{"from_index":1290,"to_index":0,"sum":98389,"residue":218}],"minimal_cycle":[72,627,555,701,146,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[1548,258],"circle_positions":773,"cycle_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":[1,259,517,775,1033,1291],"clock_positions":[1,259,517,775,1033,1291],"native_values":[1,73,72,772,700,701],"rotation_degrees":0.23255813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,73,72,772,700,701],"beta":{"interval_sums":[93749,97324,100200,104912,100564,97688],"interval_residues":[216,699,483,557,74,290],"display_cycle":[216,699,483,557,74,290],"intervals":[{"from_index":1,"to_index":259,"sum":93749,"residue":216},{"from_index":259,"to_index":517,"sum":97324,"residue":699},{"from_index":517,"to_index":775,"sum":100200,"residue":483},{"from_index":775,"to_index":1033,"sum":104912,"residue":557},{"from_index":1033,"to_index":1291,"sum":100564,"residue":74},{"from_index":1291,"to_index":1,"sum":97688,"residue":290}],"minimal_cycle":[216,699,483,557,74,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[1,259],"circle_positions":773,"cycle_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":[2,260,518,776,1034,1292],"clock_positions":[2,260,518,776,1034,1292],"native_values":[1,218,217,772,555,556],"rotation_degrees":0.46511627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,218,217,772,555,556],"beta":{"interval_sums":[93821,97178,100755,104840,100710,97133],"interval_residues":[288,553,265,485,220,508],"display_cycle":[288,553,265,485,220,508],"intervals":[{"from_index":2,"to_index":260,"sum":93821,"residue":288},{"from_index":260,"to_index":518,"sum":97178,"residue":553},{"from_index":518,"to_index":776,"sum":100755,"residue":265},{"from_index":776,"to_index":1034,"sum":104840,"residue":485},{"from_index":1034,"to_index":1292,"sum":100710,"residue":220},{"from_index":1292,"to_index":2,"sum":97133,"residue":508}],"minimal_cycle":[288,553,265,485,220,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[2,260],"circle_positions":773,"cycle_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":[3,261,519,777,1035,1293],"clock_positions":[3,261,519,777,1035,1293],"native_values":[2,291,289,771,482,484],"rotation_degrees":0.6976744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,291,289,771,482,484],"beta":{"interval_sums":[94037,97104,101238,104624,100784,96650],"interval_residues":[504,479,748,269,294,25],"display_cycle":[504,479,748,269,294,25],"intervals":[{"from_index":3,"to_index":261,"sum":94037,"residue":504},{"from_index":261,"to_index":519,"sum":97104,"residue":479},{"from_index":519,"to_index":777,"sum":101238,"residue":748},{"from_index":777,"to_index":1035,"sum":104624,"residue":269},{"from_index":1035,"to_index":1293,"sum":100784,"residue":294},{"from_index":1293,"to_index":3,"sum":96650,"residue":25}],"minimal_cycle":[504,479,748,269,294,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[3,261],"circle_positions":773,"cycle_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":[4,262,520,778,1036,1294],"clock_positions":[4,262,520,778,1036,1294],"native_values":[3,509,506,770,264,267],"rotation_degrees":0.9302325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,509,506,770,264,267],"beta":{"interval_sums":[94325,96884,101503,104336,101004,96385],"interval_residues":[19,259,240,754,514,533],"display_cycle":[19,259,240,754,514,533],"intervals":[{"from_index":4,"to_index":262,"sum":94325,"residue":19},{"from_index":262,"to_index":520,"sum":96884,"residue":259},{"from_index":520,"to_index":778,"sum":101503,"residue":240},{"from_index":778,"to_index":1036,"sum":104336,"residue":754},{"from_index":1036,"to_index":1294,"sum":101004,"residue":514},{"from_index":1294,"to_index":4,"sum":96385,"residue":533}],"minimal_cycle":[19,259,240,754,514,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[4,262],"circle_positions":773,"cycle_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":[5,263,521,779,1037,1295],"clock_positions":[5,263,521,779,1037,1295],"native_values":[5,27,22,768,746,751],"rotation_degrees":1.1627906976744187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,27,22,768,746,751],"beta":{"interval_sums":[94829,97363,102251,103832,100525,95637],"interval_residues":[523,738,215,250,35,558],"display_cycle":[523,738,215,250,35,558],"intervals":[{"from_index":5,"to_index":263,"sum":94829,"residue":523},{"from_index":263,"to_index":521,"sum":97363,"residue":738},{"from_index":521,"to_index":779,"sum":102251,"residue":215},{"from_index":779,"to_index":1037,"sum":103832,"residue":250},{"from_index":1037,"to_index":1295,"sum":100525,"residue":35},{"from_index":1295,"to_index":5,"sum":95637,"residue":558}],"minimal_cycle":[523,738,215,250,35,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":523,"start_interval_clock_positions":[5,263],"circle_positions":773,"cycle_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":[6,264,522,780,1038,1296],"clock_positions":[6,264,522,780,1038,1296],"native_values":[8,536,528,765,237,245],"rotation_degrees":1.3953488372093024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,536,528,765,237,245],"beta":{"interval_sums":[94848,96849,102491,103813,101039,95397],"interval_residues":[542,224,455,231,549,318],"display_cycle":[542,224,455,231,549,318],"intervals":[{"from_index":6,"to_index":264,"sum":94848,"residue":542},{"from_index":264,"to_index":522,"sum":96849,"residue":224},{"from_index":522,"to_index":780,"sum":102491,"residue":455},{"from_index":780,"to_index":1038,"sum":103813,"residue":231},{"from_index":1038,"to_index":1296,"sum":101039,"residue":549},{"from_index":1296,"to_index":6,"sum":95397,"residue":318}],"minimal_cycle":[542,224,455,231,549,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[6,264],"circle_positions":773,"cycle_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":[7,265,523,781,1039,1297],"clock_positions":[7,265,523,781,1039,1297],"native_values":[13,563,550,760,210,223],"rotation_degrees":1.627906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,563,550,760,210,223],"beta":{"interval_sums":[95371,96814,102706,103290,101074,95182],"interval_residues":[292,189,670,481,584,103],"display_cycle":[292,189,670,481,584,103],"intervals":[{"from_index":7,"to_index":265,"sum":95371,"residue":292},{"from_index":265,"to_index":523,"sum":96814,"residue":189},{"from_index":523,"to_index":781,"sum":102706,"residue":670},{"from_index":781,"to_index":1039,"sum":103290,"residue":481},{"from_index":1039,"to_index":1297,"sum":101074,"residue":584},{"from_index":1297,"to_index":7,"sum":95182,"residue":103}],"minimal_cycle":[292,189,670,481,584,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[7,265],"circle_positions":773,"cycle_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":[8,266,524,782,1040,1298],"clock_positions":[8,266,524,782,1040,1298],"native_values":[21,326,305,752,447,468],"rotation_degrees":1.8604651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,326,305,752,447,468],"beta":{"interval_sums":[95913,97038,103161,102748,100850,94727],"interval_residues":[61,413,352,712,360,421],"display_cycle":[61,413,352,712,360,421],"intervals":[{"from_index":8,"to_index":266,"sum":95913,"residue":61},{"from_index":266,"to_index":524,"sum":97038,"residue":413},{"from_index":524,"to_index":782,"sum":103161,"residue":352},{"from_index":782,"to_index":1040,"sum":102748,"residue":712},{"from_index":1040,"to_index":1298,"sum":100850,"residue":360},{"from_index":1298,"to_index":8,"sum":94727,"residue":421}],"minimal_cycle":[61,413,352,712,360,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[8,266],"circle_positions":773,"cycle_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":[9,267,525,783,1041,1299],"clock_positions":[9,267,525,783,1041,1299],"native_values":[34,116,82,739,657,691],"rotation_degrees":2.0930232558139537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,116,82,739,657,691],"beta":{"interval_sums":[96205,97227,103831,102456,100661,94057],"interval_residues":[353,602,249,420,171,524],"display_cycle":[353,602,249,420,171,524],"intervals":[{"from_index":9,"to_index":267,"sum":96205,"residue":353},{"from_index":267,"to_index":525,"sum":97227,"residue":602},{"from_index":525,"to_index":783,"sum":103831,"residue":249},{"from_index":783,"to_index":1041,"sum":102456,"residue":420},{"from_index":1041,"to_index":1299,"sum":100661,"residue":171},{"from_index":1299,"to_index":9,"sum":94057,"residue":524}],"minimal_cycle":[353,602,249,420,171,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[9,267],"circle_positions":773,"cycle_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":[10,268,526,784,1042,1300],"clock_positions":[10,268,526,784,1042,1300],"native_values":[55,442,387,718,331,386],"rotation_degrees":2.3255813953488373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,442,387,718,331,386],"beta":{"interval_sums":[96266,96867,104183,102395,101021,93705],"interval_residues":[414,242,601,359,531,172],"display_cycle":[414,242,601,359,531,172],"intervals":[{"from_index":10,"to_index":268,"sum":96266,"residue":414},{"from_index":268,"to_index":526,"sum":96867,"residue":242},{"from_index":526,"to_index":784,"sum":104183,"residue":601},{"from_index":784,"to_index":1042,"sum":102395,"residue":359},{"from_index":1042,"to_index":1300,"sum":101021,"residue":531},{"from_index":1300,"to_index":10,"sum":93705,"residue":172}],"minimal_cycle":[414,242,601,359,531,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[10,268],"circle_positions":773,"cycle_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":[11,269,527,785,1043,1301],"clock_positions":[11,269,527,785,1043,1301],"native_values":[89,558,469,684,215,304],"rotation_degrees":2.558139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,558,469,684,215,304],"beta":{"interval_sums":[96619,96696,104432,102042,101192,93456],"interval_residues":[767,71,77,6,702,696],"display_cycle":[767,71,77,6,702,696],"intervals":[{"from_index":11,"to_index":269,"sum":96619,"residue":767},{"from_index":269,"to_index":527,"sum":96696,"residue":71},{"from_index":527,"to_index":785,"sum":104432,"residue":77},{"from_index":785,"to_index":1043,"sum":102042,"residue":6},{"from_index":1043,"to_index":1301,"sum":101192,"residue":702},{"from_index":1301,"to_index":11,"sum":93456,"residue":696}],"minimal_cycle":[767,71,77,6,702,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":767,"start_interval_clock_positions":[11,269],"circle_positions":773,"cycle_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":[12,270,528,786,1044,1302],"clock_positions":[12,270,528,786,1044,1302],"native_values":[144,227,83,629,546,690],"rotation_degrees":2.7906976744186047,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,227,83,629,546,690],"beta":{"interval_sums":[97033,96938,105033,101628,100950,92855],"interval_residues":[408,313,678,365,460,95],"display_cycle":[408,313,678,365,460,95],"intervals":[{"from_index":12,"to_index":270,"sum":97033,"residue":408},{"from_index":270,"to_index":528,"sum":96938,"residue":313},{"from_index":528,"to_index":786,"sum":105033,"residue":678},{"from_index":786,"to_index":1044,"sum":101628,"residue":365},{"from_index":1044,"to_index":1302,"sum":100950,"residue":460},{"from_index":1302,"to_index":12,"sum":92855,"residue":95}],"minimal_cycle":[408,313,678,365,460,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[12,270],"circle_positions":773,"cycle_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":[13,271,529,787,1045,1303],"clock_positions":[13,271,529,787,1045,1303],"native_values":[233,12,552,540,761,221],"rotation_degrees":3.0232558139534884,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,12,552,540,761,221],"beta":{"interval_sums":[97027,97009,105110,101634,100879,92778],"interval_residues":[402,384,755,371,389,18],"display_cycle":[402,384,755,371,389,18],"intervals":[{"from_index":13,"to_index":271,"sum":97027,"residue":402},{"from_index":271,"to_index":529,"sum":97009,"residue":384},{"from_index":529,"to_index":787,"sum":105110,"residue":755},{"from_index":787,"to_index":1045,"sum":101634,"residue":371},{"from_index":1045,"to_index":1303,"sum":100879,"residue":389},{"from_index":1303,"to_index":13,"sum":92778,"residue":18}],"minimal_cycle":[402,384,755,371,389,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[13,271],"circle_positions":773,"cycle_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":[14,272,530,788,1046,1304],"clock_positions":[14,272,530,788,1046,1304],"native_values":[377,239,635,396,534,138],"rotation_degrees":3.255813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,239,635,396,534,138],"beta":{"interval_sums":[96662,97322,105015,101999,100566,92873],"interval_residues":[37,697,660,736,76,113],"display_cycle":[37,697,660,736,76,113],"intervals":[{"from_index":14,"to_index":272,"sum":96662,"residue":37},{"from_index":272,"to_index":530,"sum":97322,"residue":697},{"from_index":530,"to_index":788,"sum":105015,"residue":660},{"from_index":788,"to_index":1046,"sum":101999,"residue":736},{"from_index":1046,"to_index":1304,"sum":100566,"residue":76},{"from_index":1304,"to_index":14,"sum":92873,"residue":113}],"minimal_cycle":[37,697,660,736,76,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":37,"start_interval_clock_positions":[14,272],"circle_positions":773,"cycle_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":[15,273,531,789,1047,1305],"clock_positions":[15,273,531,789,1047,1305],"native_values":[610,251,414,163,522,359],"rotation_degrees":3.488372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,251,414,163,522,359],"beta":{"interval_sums":[96291,97706,104997,102370,100182,92891],"interval_residues":[439,308,642,334,465,131],"display_cycle":[439,308,642,334,465,131],"intervals":[{"from_index":15,"to_index":273,"sum":96291,"residue":439},{"from_index":273,"to_index":531,"sum":97706,"residue":308},{"from_index":531,"to_index":789,"sum":104997,"residue":642},{"from_index":789,"to_index":1047,"sum":102370,"residue":334},{"from_index":1047,"to_index":1305,"sum":100182,"residue":465},{"from_index":1305,"to_index":15,"sum":92891,"residue":131}],"minimal_cycle":[439,308,642,334,465,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[15,273],"circle_positions":773,"cycle_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":[16,274,532,790,1048,1306],"clock_positions":[16,274,532,790,1048,1306],"native_values":[214,490,276,559,283,497],"rotation_degrees":3.7209302325581395,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,490,276,559,283,497],"beta":{"interval_sums":[96328,97630,104884,102333,100258,93004],"interval_residues":[476,232,529,297,541,244],"display_cycle":[476,232,529,297,541,244],"intervals":[{"from_index":16,"to_index":274,"sum":96328,"residue":476},{"from_index":274,"to_index":532,"sum":97630,"residue":232},{"from_index":532,"to_index":790,"sum":104884,"residue":529},{"from_index":790,"to_index":1048,"sum":102333,"residue":297},{"from_index":1048,"to_index":1306,"sum":100258,"residue":541},{"from_index":1306,"to_index":16,"sum":93004,"residue":244}],"minimal_cycle":[476,232,529,297,541,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[16,274],"circle_positions":773,"cycle_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":[17,275,533,791,1049,1307],"clock_positions":[17,275,533,791,1049,1307],"native_values":[51,741,690,722,32,83],"rotation_degrees":3.953488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,741,690,722,32,83],"beta":{"interval_sums":[96767,97165,104753,101894,100723,93135],"interval_residues":[142,540,398,631,233,375],"display_cycle":[142,540,398,631,233,375],"intervals":[{"from_index":17,"to_index":275,"sum":96767,"residue":142},{"from_index":275,"to_index":533,"sum":97165,"residue":540},{"from_index":533,"to_index":791,"sum":104753,"residue":398},{"from_index":791,"to_index":1049,"sum":101894,"residue":631},{"from_index":1049,"to_index":1307,"sum":100723,"residue":233},{"from_index":1307,"to_index":17,"sum":93135,"residue":375}],"minimal_cycle":[142,540,398,631,233,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[17,275],"circle_positions":773,"cycle_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":[18,276,534,792,1050,1308],"clock_positions":[18,276,534,792,1050,1308],"native_values":[265,458,193,508,315,580],"rotation_degrees":4.186046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,458,193,508,315,580],"beta":{"interval_sums":[97243,97397,105282,101418,100491,92606],"interval_residues":[618,772,154,155,1,619],"display_cycle":[618,772,154,155,1,619],"intervals":[{"from_index":18,"to_index":276,"sum":97243,"residue":618},{"from_index":276,"to_index":534,"sum":97397,"residue":772},{"from_index":534,"to_index":792,"sum":105282,"residue":154},{"from_index":792,"to_index":1050,"sum":101418,"residue":155},{"from_index":1050,"to_index":1308,"sum":100491,"residue":1},{"from_index":1308,"to_index":18,"sum":92606,"residue":619}],"minimal_cycle":[618,772,154,155,1,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[18,276],"circle_positions":773,"cycle_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":[19,277,535,793,1051,1309],"clock_positions":[19,277,535,793,1051,1309],"native_values":[316,426,110,457,347,663],"rotation_degrees":4.4186046511627906,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,426,110,457,347,663],"beta":{"interval_sums":[97385,97164,105680,101276,100724,92208],"interval_residues":[760,539,552,13,234,221],"display_cycle":[760,539,552,13,234,221],"intervals":[{"from_index":19,"to_index":277,"sum":97385,"residue":760},{"from_index":277,"to_index":535,"sum":97164,"residue":539},{"from_index":535,"to_index":793,"sum":105680,"residue":552},{"from_index":793,"to_index":1051,"sum":101276,"residue":13},{"from_index":1051,"to_index":1309,"sum":100724,"residue":234},{"from_index":1309,"to_index":19,"sum":92208,"residue":221}],"minimal_cycle":[760,539,552,13,234,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[19,277],"circle_positions":773,"cycle_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":[20,278,536,794,1052,1310],"clock_positions":[20,278,536,794,1052,1310],"native_values":[581,111,303,192,662,470],"rotation_degrees":4.651162790697675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,111,303,192,662,470],"beta":{"interval_sums":[97230,97163,105834,101431,100725,92054],"interval_residues":[605,538,706,168,235,67],"display_cycle":[605,538,706,168,235,67],"intervals":[{"from_index":20,"to_index":278,"sum":97230,"residue":605},{"from_index":278,"to_index":536,"sum":97163,"residue":538},{"from_index":536,"to_index":794,"sum":105834,"residue":706},{"from_index":794,"to_index":1052,"sum":101431,"residue":168},{"from_index":1052,"to_index":1310,"sum":100725,"residue":235},{"from_index":1310,"to_index":20,"sum":92054,"residue":67}],"minimal_cycle":[605,538,706,168,235,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":605,"start_interval_clock_positions":[20,278],"circle_positions":773,"cycle_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":[21,279,537,795,1053,1311],"clock_positions":[21,279,537,795,1053,1311],"native_values":[124,537,413,649,236,360],"rotation_degrees":4.883720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,537,413,649,236,360],"beta":{"interval_sums":[97217,96929,105613,101444,100959,92275],"interval_residues":[592,304,485,181,469,288],"display_cycle":[592,304,485,181,469,288],"intervals":[{"from_index":21,"to_index":279,"sum":97217,"residue":592},{"from_index":279,"to_index":537,"sum":96929,"residue":304},{"from_index":537,"to_index":795,"sum":105613,"residue":485},{"from_index":795,"to_index":1053,"sum":101444,"residue":181},{"from_index":1053,"to_index":1311,"sum":100959,"residue":469},{"from_index":1311,"to_index":21,"sum":92275,"residue":288}],"minimal_cycle":[592,304,485,181,469,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[21,279],"circle_positions":773,"cycle_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":[22,280,538,796,1054,1312],"clock_positions":[22,280,538,796,1054,1312],"native_values":[705,648,716,68,125,57],"rotation_degrees":5.116279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,648,716,68,125,57],"beta":{"interval_sums":[97049,96694,105546,101612,101194,92342],"interval_residues":[424,69,418,349,704,355],"display_cycle":[424,69,418,349,704,355],"intervals":[{"from_index":22,"to_index":280,"sum":97049,"residue":424},{"from_index":280,"to_index":538,"sum":96694,"residue":69},{"from_index":538,"to_index":796,"sum":105546,"residue":418},{"from_index":796,"to_index":1054,"sum":101612,"residue":349},{"from_index":1054,"to_index":1312,"sum":101194,"residue":704},{"from_index":1312,"to_index":22,"sum":92342,"residue":355}],"minimal_cycle":[424,69,418,349,704,355],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[22,280],"circle_positions":773,"cycle_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":[23,281,539,797,1055,1313],"clock_positions":[23,281,539,797,1055,1313],"native_values":[56,412,356,717,361,417],"rotation_degrees":5.348837209302325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,412,356,717,361,417],"beta":{"interval_sums":[97641,96998,105258,101020,100890,92630],"interval_residues":[243,373,130,530,400,643],"display_cycle":[243,373,130,530,400,643],"intervals":[{"from_index":23,"to_index":281,"sum":97641,"residue":243},{"from_index":281,"to_index":539,"sum":96998,"residue":373},{"from_index":539,"to_index":797,"sum":105258,"residue":130},{"from_index":797,"to_index":1055,"sum":101020,"residue":530},{"from_index":1055,"to_index":1313,"sum":100890,"residue":400},{"from_index":1313,"to_index":23,"sum":92630,"residue":643}],"minimal_cycle":[243,373,130,530,400,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[23,281],"circle_positions":773,"cycle_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":[24,282,540,798,1056,1314],"clock_positions":[24,282,540,798,1056,1314],"native_values":[761,287,299,12,486,474],"rotation_degrees":5.5813953488372094,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[761,287,299,12,486,474],"beta":{"interval_sums":[97292,97067,105676,101369,100821,92212],"interval_residues":[667,442,548,106,331,225],"display_cycle":[667,442,548,106,331,225],"intervals":[{"from_index":24,"to_index":282,"sum":97292,"residue":667},{"from_index":282,"to_index":540,"sum":97067,"residue":442},{"from_index":540,"to_index":798,"sum":105676,"residue":548},{"from_index":798,"to_index":1056,"sum":101369,"residue":106},{"from_index":1056,"to_index":1314,"sum":100821,"residue":331},{"from_index":1314,"to_index":24,"sum":92212,"residue":225}],"minimal_cycle":[667,442,548,106,331,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":667,"start_interval_clock_positions":[24,282],"circle_positions":773,"cycle_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":[25,283,541,799,1057,1315],"clock_positions":[25,283,541,799,1057,1315],"native_values":[44,699,655,729,74,118],"rotation_degrees":5.813953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,699,655,729,74,118],"beta":{"interval_sums":[97535,96667,105033,101126,101221,92855],"interval_residues":[137,42,678,636,731,95],"display_cycle":[137,42,678,636,731,95],"intervals":[{"from_index":25,"to_index":283,"sum":97535,"residue":137},{"from_index":283,"to_index":541,"sum":96667,"residue":42},{"from_index":541,"to_index":799,"sum":105033,"residue":678},{"from_index":799,"to_index":1057,"sum":101126,"residue":636},{"from_index":1057,"to_index":1315,"sum":101221,"residue":731},{"from_index":1315,"to_index":25,"sum":92855,"residue":95}],"minimal_cycle":[137,42,678,636,731,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[25,283],"circle_positions":773,"cycle_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":[26,284,542,800,1058,1316],"clock_positions":[26,284,542,800,1058,1316],"native_values":[32,213,181,741,560,592],"rotation_degrees":6.046511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[32,213,181,741,560,592],"beta":{"interval_sums":[98202,97109,105581,100459,100779,92307],"interval_residues":[31,484,453,742,289,320],"display_cycle":[31,484,453,742,289,320],"intervals":[{"from_index":26,"to_index":284,"sum":98202,"residue":31},{"from_index":284,"to_index":542,"sum":97109,"residue":484},{"from_index":542,"to_index":800,"sum":105581,"residue":453},{"from_index":800,"to_index":1058,"sum":100459,"residue":742},{"from_index":1058,"to_index":1316,"sum":100779,"residue":289},{"from_index":1316,"to_index":26,"sum":92307,"residue":320}],"minimal_cycle":[31,484,453,742,289,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[26,284],"circle_positions":773,"cycle_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":[27,285,543,801,1059,1317],"clock_positions":[27,285,543,801,1059,1317],"native_values":[76,139,63,697,634,710],"rotation_degrees":6.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,139,63,697,634,710],"beta":{"interval_sums":[98339,97151,106259,100322,100737,91629],"interval_residues":[168,526,358,605,247,415],"display_cycle":[168,526,358,605,247,415],"intervals":[{"from_index":27,"to_index":285,"sum":98339,"residue":168},{"from_index":285,"to_index":543,"sum":97151,"residue":526},{"from_index":543,"to_index":801,"sum":106259,"residue":358},{"from_index":801,"to_index":1059,"sum":100322,"residue":605},{"from_index":1059,"to_index":1317,"sum":100737,"residue":247},{"from_index":1317,"to_index":27,"sum":91629,"residue":415}],"minimal_cycle":[168,526,358,605,247,415],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[27,285],"circle_positions":773,"cycle_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":[28,286,544,802,1060,1318],"clock_positions":[28,286,544,802,1060,1318],"native_values":[108,352,244,665,421,529],"rotation_degrees":6.511627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,352,244,665,421,529],"beta":{"interval_sums":[98370,96862,106712,100291,101026,91176],"interval_residues":[199,237,38,574,536,735],"display_cycle":[199,237,38,574,536,735],"intervals":[{"from_index":28,"to_index":286,"sum":98370,"residue":199},{"from_index":286,"to_index":544,"sum":96862,"residue":237},{"from_index":544,"to_index":802,"sum":106712,"residue":38},{"from_index":802,"to_index":1060,"sum":100291,"residue":574},{"from_index":1060,"to_index":1318,"sum":101026,"residue":536},{"from_index":1318,"to_index":28,"sum":91176,"residue":735}],"minimal_cycle":[199,237,38,574,536,735],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[28,286],"circle_positions":773,"cycle_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":[29,287,545,803,1061,1319],"clock_positions":[29,287,545,803,1061,1319],"native_values":[184,491,307,589,282,466],"rotation_degrees":6.744186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,491,307,589,282,466],"beta":{"interval_sums":[98538,96615,107070,100123,101273,90818],"interval_residues":[367,763,396,406,10,377],"display_cycle":[367,763,396,406,10,377],"intervals":[{"from_index":29,"to_index":287,"sum":98538,"residue":367},{"from_index":287,"to_index":545,"sum":96615,"residue":763},{"from_index":545,"to_index":803,"sum":107070,"residue":396},{"from_index":803,"to_index":1061,"sum":100123,"residue":406},{"from_index":1061,"to_index":1319,"sum":101273,"residue":10},{"from_index":1319,"to_index":29,"sum":90818,"residue":377}],"minimal_cycle":[367,763,396,406,10,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":367,"start_interval_clock_positions":[29,287],"circle_positions":773,"cycle_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":[30,288,546,804,1062,1320],"clock_positions":[30,288,546,804,1062,1320],"native_values":[292,70,551,481,703,222],"rotation_degrees":6.976744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,70,551,481,703,222],"beta":{"interval_sums":[98737,96852,107108,99924,101036,90780],"interval_residues":[566,227,434,207,546,339],"display_cycle":[566,227,434,207,546,339],"intervals":[{"from_index":30,"to_index":288,"sum":98737,"residue":566},{"from_index":288,"to_index":546,"sum":96852,"residue":227},{"from_index":546,"to_index":804,"sum":107108,"residue":434},{"from_index":804,"to_index":1062,"sum":99924,"residue":207},{"from_index":1062,"to_index":1320,"sum":101036,"residue":546},{"from_index":1320,"to_index":30,"sum":90780,"residue":339}],"minimal_cycle":[566,227,434,207,546,339],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[30,288],"circle_positions":773,"cycle_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":[31,289,547,805,1063,1321],"clock_positions":[31,289,547,805,1063,1321],"native_values":[476,561,85,297,212,688],"rotation_degrees":7.209302325581396,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,561,85,297,212,688],"beta":{"interval_sums":[98331,96842,107504,100330,101046,90384],"interval_residues":[160,217,57,613,556,716],"display_cycle":[160,217,57,613,556,716],"intervals":[{"from_index":31,"to_index":289,"sum":98331,"residue":160},{"from_index":289,"to_index":547,"sum":96842,"residue":217},{"from_index":547,"to_index":805,"sum":107504,"residue":57},{"from_index":805,"to_index":1063,"sum":100330,"residue":613},{"from_index":1063,"to_index":1321,"sum":101046,"residue":556},{"from_index":1321,"to_index":31,"sum":90384,"residue":716}],"minimal_cycle":[160,217,57,613,556,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[31,289],"circle_positions":773,"cycle_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":[32,290,548,806,1064,1322],"clock_positions":[32,290,548,806,1064,1322],"native_values":[768,631,636,5,142,137],"rotation_degrees":7.441860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,631,636,5,142,137],"beta":{"interval_sums":[98124,96296,107165,100537,101592,90723],"interval_residues":[726,444,491,47,329,282],"display_cycle":[726,444,491,47,329,282],"intervals":[{"from_index":32,"to_index":290,"sum":98124,"residue":726},{"from_index":290,"to_index":548,"sum":96296,"residue":444},{"from_index":548,"to_index":806,"sum":107165,"residue":491},{"from_index":806,"to_index":1064,"sum":100537,"residue":47},{"from_index":1064,"to_index":1322,"sum":101592,"residue":329},{"from_index":1322,"to_index":32,"sum":90723,"residue":282}],"minimal_cycle":[726,444,491,47,329,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[32,290],"circle_positions":773,"cycle_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":[33,291,549,807,1065,1323],"clock_positions":[33,291,549,807,1065,1323],"native_values":[471,419,721,302,354,52],"rotation_degrees":7.674418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,419,721,302,354,52],"beta":{"interval_sums":[98284,96513,106449,100377,101375,91439],"interval_residues":[113,661,548,660,112,225],"display_cycle":[113,661,548,660,112,225],"intervals":[{"from_index":33,"to_index":291,"sum":98284,"residue":113},{"from_index":291,"to_index":549,"sum":96513,"residue":661},{"from_index":549,"to_index":807,"sum":106449,"residue":548},{"from_index":807,"to_index":1065,"sum":100377,"residue":660},{"from_index":1065,"to_index":1323,"sum":101375,"residue":112},{"from_index":1323,"to_index":33,"sum":91439,"residue":225}],"minimal_cycle":[113,661,548,660,112,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[33,291],"circle_positions":773,"cycle_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":[34,292,550,808,1066,1324],"clock_positions":[34,292,550,808,1066,1324],"native_values":[466,277,584,307,496,189],"rotation_degrees":7.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,277,584,307,496,189],"beta":{"interval_sums":[98237,96957,106167,100424,100931,91721],"interval_residues":[66,332,266,707,441,507],"display_cycle":[66,332,266,707,441,507],"intervals":[{"from_index":34,"to_index":292,"sum":98237,"residue":66},{"from_index":292,"to_index":550,"sum":96957,"residue":332},{"from_index":550,"to_index":808,"sum":106167,"residue":266},{"from_index":808,"to_index":1066,"sum":100424,"residue":707},{"from_index":1066,"to_index":1324,"sum":100931,"residue":441},{"from_index":1324,"to_index":34,"sum":91721,"residue":507}],"minimal_cycle":[66,332,266,707,441,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[34,292],"circle_positions":773,"cycle_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":[35,293,551,809,1067,1325],"clock_positions":[35,293,551,809,1067,1325],"native_values":[164,696,532,609,77,241],"rotation_degrees":8.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,696,532,609,77,241],"beta":{"interval_sums":[98350,96845,105942,100311,101043,91946],"interval_residues":[179,220,41,594,553,732],"display_cycle":[179,220,41,594,553,732],"intervals":[{"from_index":35,"to_index":293,"sum":98350,"residue":179},{"from_index":293,"to_index":551,"sum":96845,"residue":220},{"from_index":551,"to_index":809,"sum":105942,"residue":41},{"from_index":809,"to_index":1067,"sum":100311,"residue":594},{"from_index":1067,"to_index":1325,"sum":101043,"residue":553},{"from_index":1325,"to_index":35,"sum":91946,"residue":732}],"minimal_cycle":[179,220,41,594,553,732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":179,"start_interval_clock_positions":[35,293],"circle_positions":773,"cycle_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":[36,294,552,810,1068,1326],"clock_positions":[36,294,552,810,1068,1326],"native_values":[630,200,343,143,573,430],"rotation_degrees":8.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[630,200,343,143,573,430],"beta":{"interval_sums":[98416,97177,106208,100245,100711,91680],"interval_residues":[245,552,307,528,221,466],"display_cycle":[245,552,307,528,221,466],"intervals":[{"from_index":36,"to_index":294,"sum":98416,"residue":245},{"from_index":294,"to_index":552,"sum":97177,"residue":552},{"from_index":552,"to_index":810,"sum":106208,"residue":307},{"from_index":810,"to_index":1068,"sum":100245,"residue":528},{"from_index":1068,"to_index":1326,"sum":100711,"residue":221},{"from_index":1326,"to_index":36,"sum":91680,"residue":466}],"minimal_cycle":[245,552,307,528,221,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[36,294],"circle_positions":773,"cycle_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":[37,295,553,811,1069,1327],"clock_positions":[37,295,553,811,1069,1327],"native_values":[21,123,102,752,650,671],"rotation_degrees":8.604651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,123,102,752,650,671],"beta":{"interval_sums":[98595,97397,106249,100066,100491,91639],"interval_residues":[424,772,348,349,1,425],"display_cycle":[424,772,348,349,1,425],"intervals":[{"from_index":37,"to_index":295,"sum":98595,"residue":424},{"from_index":295,"to_index":553,"sum":97397,"residue":772},{"from_index":553,"to_index":811,"sum":106249,"residue":348},{"from_index":811,"to_index":1069,"sum":100066,"residue":349},{"from_index":1069,"to_index":1327,"sum":100491,"residue":1},{"from_index":1327,"to_index":37,"sum":91639,"residue":425}],"minimal_cycle":[424,772,348,349,1,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[37,295],"circle_positions":773,"cycle_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":[38,296,554,812,1070,1328],"clock_positions":[38,296,554,812,1070,1328],"native_values":[651,323,445,122,450,328],"rotation_degrees":8.837209302325581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,323,445,122,450,328],"beta":{"interval_sums":[98067,97176,106556,100594,100712,91332],"interval_residues":[669,551,655,104,222,118],"display_cycle":[669,551,655,104,222,118],"intervals":[{"from_index":38,"to_index":296,"sum":98067,"residue":669},{"from_index":296,"to_index":554,"sum":97176,"residue":551},{"from_index":554,"to_index":812,"sum":106556,"residue":655},{"from_index":812,"to_index":1070,"sum":100594,"residue":104},{"from_index":1070,"to_index":1328,"sum":100712,"residue":222},{"from_index":1328,"to_index":38,"sum":91332,"residue":118}],"minimal_cycle":[669,551,655,104,222,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[38,296],"circle_positions":773,"cycle_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":[39,297,555,813,1071,1329],"clock_positions":[39,297,555,813,1071,1329],"native_values":[672,446,547,101,327,226],"rotation_degrees":9.069767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,446,547,101,327,226],"beta":{"interval_sums":[97718,97175,106131,100943,100713,91757],"interval_residues":[320,550,230,453,223,543],"display_cycle":[320,550,230,453,223,543],"intervals":[{"from_index":39,"to_index":297,"sum":97718,"residue":320},{"from_index":297,"to_index":555,"sum":97175,"residue":550},{"from_index":555,"to_index":813,"sum":106131,"residue":230},{"from_index":813,"to_index":1071,"sum":100943,"residue":453},{"from_index":1071,"to_index":1329,"sum":100713,"residue":223},{"from_index":1329,"to_index":39,"sum":91757,"residue":543}],"minimal_cycle":[320,550,230,453,223,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[39,297],"circle_positions":773,"cycle_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":[40,298,556,814,1072,1330],"clock_positions":[40,298,556,814,1072,1330],"native_values":[550,769,219,223,4,554],"rotation_degrees":9.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[550,769,219,223,4,554],"beta":{"interval_sums":[97614,96953,106013,101047,100935,91875],"interval_residues":[216,328,112,557,445,661],"display_cycle":[216,328,112,557,445,661],"intervals":[{"from_index":40,"to_index":298,"sum":97614,"residue":216},{"from_index":298,"to_index":556,"sum":96953,"residue":328},{"from_index":556,"to_index":814,"sum":106013,"residue":112},{"from_index":814,"to_index":1072,"sum":101047,"residue":557},{"from_index":1072,"to_index":1330,"sum":100935,"residue":445},{"from_index":1330,"to_index":40,"sum":91875,"residue":661}],"minimal_cycle":[216,328,112,557,445,661],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[40,298],"circle_positions":773,"cycle_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":[41,299,557,815,1073,1331],"clock_positions":[41,299,557,815,1073,1331],"native_values":[449,442,766,324,331,7],"rotation_degrees":9.534883720930232,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,442,766,324,331,7],"beta":{"interval_sums":[97934,96730,105470,100727,101158,92418],"interval_residues":[536,105,342,237,668,431],"display_cycle":[536,105,342,237,668,431],"intervals":[{"from_index":41,"to_index":299,"sum":97934,"residue":536},{"from_index":299,"to_index":557,"sum":96730,"residue":105},{"from_index":557,"to_index":815,"sum":105470,"residue":342},{"from_index":815,"to_index":1073,"sum":100727,"residue":237},{"from_index":1073,"to_index":1331,"sum":101158,"residue":668},{"from_index":1331,"to_index":41,"sum":92418,"residue":431}],"minimal_cycle":[536,105,342,237,668,431],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[41,299],"circle_positions":773,"cycle_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":[42,300,558,816,1074,1332],"clock_positions":[42,300,558,816,1074,1332],"native_values":[226,438,212,547,335,561],"rotation_degrees":9.767441860465116,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,438,212,547,335,561],"beta":{"interval_sums":[98150,97058,105582,100511,100830,92306],"interval_residues":[752,433,454,21,340,319],"display_cycle":[752,433,454,21,340,319],"intervals":[{"from_index":42,"to_index":300,"sum":98150,"residue":752},{"from_index":300,"to_index":558,"sum":97058,"residue":433},{"from_index":558,"to_index":816,"sum":105582,"residue":454},{"from_index":816,"to_index":1074,"sum":100511,"residue":21},{"from_index":1074,"to_index":1332,"sum":100830,"residue":340},{"from_index":1332,"to_index":42,"sum":92306,"residue":319}],"minimal_cycle":[752,433,454,21,340,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":752,"start_interval_clock_positions":[42,300],"circle_positions":773,"cycle_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":[43,301,559,817,1075,1333],"clock_positions":[43,301,559,817,1075,1333],"native_values":[675,107,205,98,666,568],"rotation_degrees":10.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,107,205,98,666,568],"beta":{"interval_sums":[97913,97163,105924,100748,100725,91964],"interval_residues":[515,538,23,258,235,750],"display_cycle":[515,538,23,258,235,750],"intervals":[{"from_index":43,"to_index":301,"sum":97913,"residue":515},{"from_index":301,"to_index":559,"sum":97163,"residue":538},{"from_index":559,"to_index":817,"sum":105924,"residue":23},{"from_index":817,"to_index":1075,"sum":100748,"residue":258},{"from_index":1075,"to_index":1333,"sum":100725,"residue":235},{"from_index":1333,"to_index":43,"sum":91964,"residue":750}],"minimal_cycle":[515,538,23,258,235,750],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":515,"start_interval_clock_positions":[43,301],"circle_positions":773,"cycle_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":[44,302,560,818,1076,1334],"clock_positions":[44,302,560,818,1076,1334],"native_values":[128,545,417,645,228,356],"rotation_degrees":10.232558139534884,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,545,417,645,228,356],"beta":{"interval_sums":[97892,96823,105605,100769,101065,92283],"interval_residues":[494,198,477,279,575,296],"display_cycle":[494,198,477,279,575,296],"intervals":[{"from_index":44,"to_index":302,"sum":97892,"residue":494},{"from_index":302,"to_index":560,"sum":96823,"residue":198},{"from_index":560,"to_index":818,"sum":105605,"residue":477},{"from_index":818,"to_index":1076,"sum":100769,"residue":279},{"from_index":1076,"to_index":1334,"sum":101065,"residue":575},{"from_index":1334,"to_index":44,"sum":92283,"residue":296}],"minimal_cycle":[494,198,477,279,575,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[44,302],"circle_positions":773,"cycle_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":[45,303,561,819,1077,1335],"clock_positions":[45,303,561,819,1077,1335],"native_values":[30,652,622,743,121,151],"rotation_degrees":10.465116279069768,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,652,622,743,121,151],"beta":{"interval_sums":[98407,96588,105628,100254,101300,92260],"interval_residues":[236,736,500,537,37,273],"display_cycle":[236,736,500,537,37,273],"intervals":[{"from_index":45,"to_index":303,"sum":98407,"residue":236},{"from_index":303,"to_index":561,"sum":96588,"residue":736},{"from_index":561,"to_index":819,"sum":105628,"residue":500},{"from_index":819,"to_index":1077,"sum":100254,"residue":537},{"from_index":1077,"to_index":1335,"sum":101300,"residue":37},{"from_index":1335,"to_index":45,"sum":92260,"residue":273}],"minimal_cycle":[236,736,500,537,37,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[45,303],"circle_positions":773,"cycle_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":[46,304,562,820,1078,1336],"clock_positions":[46,304,562,820,1078,1336],"native_values":[158,424,266,615,349,507],"rotation_degrees":10.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,424,266,615,349,507],"beta":{"interval_sums":[98901,96786,106105,99760,101102,91783],"interval_residues":[730,161,204,43,612,569],"display_cycle":[730,161,204,43,612,569],"intervals":[{"from_index":46,"to_index":304,"sum":98901,"residue":730},{"from_index":304,"to_index":562,"sum":96786,"residue":161},{"from_index":562,"to_index":820,"sum":106105,"residue":204},{"from_index":820,"to_index":1078,"sum":99760,"residue":43},{"from_index":1078,"to_index":1336,"sum":101102,"residue":612},{"from_index":1336,"to_index":46,"sum":91783,"residue":569}],"minimal_cycle":[730,161,204,43,612,569],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[46,304],"circle_positions":773,"cycle_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":[47,305,563,821,1079,1337],"clock_positions":[47,305,563,821,1079,1337],"native_values":[188,303,115,585,470,658],"rotation_degrees":10.930232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,303,115,585,470,658],"beta":{"interval_sums":[99137,96749,106605,99524,101139,91283],"interval_residues":[193,124,704,580,649,69],"display_cycle":[193,124,704,580,649,69],"intervals":[{"from_index":47,"to_index":305,"sum":99137,"residue":193},{"from_index":305,"to_index":563,"sum":96749,"residue":124},{"from_index":563,"to_index":821,"sum":106605,"residue":704},{"from_index":821,"to_index":1079,"sum":99524,"residue":580},{"from_index":1079,"to_index":1337,"sum":101139,"residue":649},{"from_index":1337,"to_index":47,"sum":91283,"residue":69}],"minimal_cycle":[193,124,704,580,649,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[47,305],"circle_positions":773,"cycle_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":[48,306,564,822,1080,1338],"clock_positions":[48,306,564,822,1080,1338],"native_values":[346,727,381,427,46,392],"rotation_degrees":11.162790697674419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,727,381,427,46,392],"beta":{"interval_sums":[99094,96137,106809,99567,101751,91079],"interval_residues":[150,285,135,623,488,638],"display_cycle":[150,285,135,623,488,638],"intervals":[{"from_index":48,"to_index":306,"sum":99094,"residue":150},{"from_index":306,"to_index":564,"sum":96137,"residue":285},{"from_index":564,"to_index":822,"sum":106809,"residue":135},{"from_index":822,"to_index":1080,"sum":99567,"residue":623},{"from_index":1080,"to_index":1338,"sum":101751,"residue":488},{"from_index":1338,"to_index":48,"sum":91079,"residue":638}],"minimal_cycle":[150,285,135,623,488,638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[48,306],"circle_positions":773,"cycle_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":[49,307,565,823,1081,1339],"clock_positions":[49,307,565,823,1081,1339],"native_values":[534,257,496,239,516,277],"rotation_degrees":11.395348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[534,257,496,239,516,277],"beta":{"interval_sums":[99287,96261,106740,99374,101627,91148],"interval_residues":[343,409,66,430,364,707],"display_cycle":[343,409,66,430,364,707],"intervals":[{"from_index":49,"to_index":307,"sum":99287,"residue":343},{"from_index":307,"to_index":565,"sum":96261,"residue":409},{"from_index":565,"to_index":823,"sum":106740,"residue":66},{"from_index":823,"to_index":1081,"sum":99374,"residue":430},{"from_index":1081,"to_index":1339,"sum":101627,"residue":364},{"from_index":1339,"to_index":49,"sum":91148,"residue":707}],"minimal_cycle":[343,409,66,430,364,707],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[49,307],"circle_positions":773,"cycle_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":[50,308,566,824,1082,1340],"clock_positions":[50,308,566,824,1082,1340],"native_values":[107,211,104,666,562,669],"rotation_degrees":11.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,211,104,666,562,669],"beta":{"interval_sums":[99437,96546,106875,99224,101342,91013],"interval_residues":[493,694,201,280,79,572],"display_cycle":[493,694,201,280,79,572],"intervals":[{"from_index":50,"to_index":308,"sum":99437,"residue":493},{"from_index":308,"to_index":566,"sum":96546,"residue":694},{"from_index":566,"to_index":824,"sum":106875,"residue":201},{"from_index":824,"to_index":1082,"sum":99224,"residue":280},{"from_index":1082,"to_index":1340,"sum":101342,"residue":79},{"from_index":1340,"to_index":50,"sum":91013,"residue":572}],"minimal_cycle":[493,694,201,280,79,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":493,"start_interval_clock_positions":[50,308],"circle_positions":773,"cycle_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":[51,309,567,825,1083,1341],"clock_positions":[51,309,567,825,1083,1341],"native_values":[641,468,600,132,305,173],"rotation_degrees":11.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,468,600,132,305,173],"beta":{"interval_sums":[99007,96182,106941,99654,101706,90947],"interval_residues":[63,330,267,710,443,506],"display_cycle":[63,330,267,710,443,506],"intervals":[{"from_index":51,"to_index":309,"sum":99007,"residue":63},{"from_index":309,"to_index":567,"sum":96182,"residue":330},{"from_index":567,"to_index":825,"sum":106941,"residue":267},{"from_index":825,"to_index":1083,"sum":99654,"residue":710},{"from_index":1083,"to_index":1341,"sum":101706,"residue":443},{"from_index":1341,"to_index":51,"sum":90947,"residue":506}],"minimal_cycle":[63,330,267,710,443,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[51,309],"circle_positions":773,"cycle_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":[52,310,568,826,1084,1342],"clock_positions":[52,310,568,826,1084,1342],"native_values":[748,679,704,25,94,69],"rotation_degrees":12.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[748,679,704,25,94,69],"beta":{"interval_sums":[98727,96103,106369,99934,101785,91519],"interval_residues":[556,251,468,217,522,305],"display_cycle":[556,251,468,217,522,305],"intervals":[{"from_index":52,"to_index":310,"sum":98727,"residue":556},{"from_index":310,"to_index":568,"sum":96103,"residue":251},{"from_index":568,"to_index":826,"sum":106369,"residue":468},{"from_index":826,"to_index":1084,"sum":99934,"residue":217},{"from_index":1084,"to_index":1342,"sum":101785,"residue":522},{"from_index":1342,"to_index":52,"sum":91519,"residue":305}],"minimal_cycle":[556,251,468,217,522,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[52,310],"circle_positions":773,"cycle_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":[53,311,569,827,1085,1343],"clock_positions":[53,311,569,827,1085,1343],"native_values":[616,374,531,157,399,242],"rotation_degrees":12.325581395348838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,374,531,157,399,242],"beta":{"interval_sums":[98790,96433,105863,99871,101455,92025],"interval_residues":[619,581,735,154,192,38],"display_cycle":[619,581,735,154,192,38],"intervals":[{"from_index":53,"to_index":311,"sum":98790,"residue":619},{"from_index":311,"to_index":569,"sum":96433,"residue":581},{"from_index":569,"to_index":827,"sum":105863,"residue":735},{"from_index":827,"to_index":1085,"sum":99871,"residue":154},{"from_index":1085,"to_index":1343,"sum":101455,"residue":192},{"from_index":1343,"to_index":53,"sum":92025,"residue":38}],"minimal_cycle":[619,581,735,154,192,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":619,"start_interval_clock_positions":[53,311],"circle_positions":773,"cycle_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":[54,312,570,828,1086,1344],"clock_positions":[54,312,570,828,1086,1344],"native_values":[591,280,462,182,493,311],"rotation_degrees":12.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,280,462,182,493,311],"beta":{"interval_sums":[98573,96684,105558,100088,101204,92330],"interval_residues":[402,59,430,371,714,343],"display_cycle":[402,59,430,371,714,343],"intervals":[{"from_index":54,"to_index":312,"sum":98573,"residue":402},{"from_index":312,"to_index":570,"sum":96684,"residue":59},{"from_index":570,"to_index":828,"sum":105558,"residue":430},{"from_index":828,"to_index":1086,"sum":100088,"residue":371},{"from_index":1086,"to_index":1344,"sum":101204,"residue":714},{"from_index":1344,"to_index":54,"sum":92330,"residue":343}],"minimal_cycle":[402,59,430,371,714,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[54,312],"circle_positions":773,"cycle_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":[55,313,571,829,1087,1345],"clock_positions":[55,313,571,829,1087,1345],"native_values":[434,654,220,339,119,553],"rotation_degrees":12.790697674418604,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,654,220,339,119,553],"beta":{"interval_sums":[98419,96492,105520,100242,101396,92368],"interval_residues":[248,640,392,525,133,381],"display_cycle":[248,640,392,525,133,381],"intervals":[{"from_index":55,"to_index":313,"sum":98419,"residue":248},{"from_index":313,"to_index":571,"sum":96492,"residue":640},{"from_index":571,"to_index":829,"sum":105520,"residue":392},{"from_index":829,"to_index":1087,"sum":100242,"residue":525},{"from_index":1087,"to_index":1345,"sum":101396,"residue":133},{"from_index":1345,"to_index":55,"sum":92368,"residue":381}],"minimal_cycle":[248,640,392,525,133,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[55,313],"circle_positions":773,"cycle_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":[56,314,572,830,1088,1346],"clock_positions":[56,314,572,830,1088,1346],"native_values":[252,161,682,521,612,91],"rotation_degrees":13.023255813953488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,161,682,521,612,91],"beta":{"interval_sums":[98821,96551,105177,99840,101337,92711],"interval_residues":[650,699,49,123,74,724],"display_cycle":[650,699,49,123,74,724],"intervals":[{"from_index":56,"to_index":314,"sum":98821,"residue":650},{"from_index":314,"to_index":572,"sum":96551,"residue":699},{"from_index":572,"to_index":830,"sum":105177,"residue":49},{"from_index":830,"to_index":1088,"sum":99840,"residue":123},{"from_index":1088,"to_index":1346,"sum":101337,"residue":74},{"from_index":1346,"to_index":56,"sum":92711,"residue":724}],"minimal_cycle":[650,699,49,123,74,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[56,314],"circle_positions":773,"cycle_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":[57,315,573,831,1089,1347],"clock_positions":[57,315,573,831,1089,1347],"native_values":[686,42,129,87,731,644],"rotation_degrees":13.255813953488373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,42,129,87,731,644],"beta":{"interval_sums":[98296,97191,105569,100365,100697,92319],"interval_residues":[125,566,441,648,207,332],"display_cycle":[125,566,441,648,207,332],"intervals":[{"from_index":57,"to_index":315,"sum":98296,"residue":125},{"from_index":315,"to_index":573,"sum":97191,"residue":566},{"from_index":573,"to_index":831,"sum":105569,"residue":441},{"from_index":831,"to_index":1089,"sum":100365,"residue":648},{"from_index":1089,"to_index":1347,"sum":100697,"residue":207},{"from_index":1347,"to_index":57,"sum":92319,"residue":332}],"minimal_cycle":[125,566,441,648,207,332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[57,315],"circle_positions":773,"cycle_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":[58,316,574,832,1090,1348],"clock_positions":[58,316,574,832,1090,1348],"native_values":[165,203,38,608,570,735],"rotation_degrees":13.488372093023257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,203,38,608,570,735],"beta":{"interval_sums":[98173,97117,105618,100488,100771,92270],"interval_residues":[2,492,490,771,281,283],"display_cycle":[2,492,490,771,281,283],"intervals":[{"from_index":58,"to_index":316,"sum":98173,"residue":2},{"from_index":316,"to_index":574,"sum":97117,"residue":492},{"from_index":574,"to_index":832,"sum":105618,"residue":490},{"from_index":832,"to_index":1090,"sum":100488,"residue":771},{"from_index":1090,"to_index":1348,"sum":100771,"residue":281},{"from_index":1348,"to_index":58,"sum":92270,"residue":283}],"minimal_cycle":[2,492,490,771,281,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[58,316],"circle_positions":773,"cycle_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":[59,317,575,833,1091,1349],"clock_positions":[59,317,575,833,1091,1349],"native_values":[78,245,167,695,528,606],"rotation_degrees":13.720930232558139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,245,167,695,528,606],"beta":{"interval_sums":[98298,96910,106059,100363,100978,91829],"interval_residues":[127,285,158,646,488,615],"display_cycle":[127,285,158,646,488,615],"intervals":[{"from_index":59,"to_index":317,"sum":98298,"residue":127},{"from_index":317,"to_index":575,"sum":96910,"residue":285},{"from_index":575,"to_index":833,"sum":106059,"residue":158},{"from_index":833,"to_index":1091,"sum":100363,"residue":646},{"from_index":1091,"to_index":1349,"sum":100978,"residue":488},{"from_index":1349,"to_index":59,"sum":91829,"residue":615}],"minimal_cycle":[127,285,158,646,488,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[59,317],"circle_positions":773,"cycle_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":[60,318,576,834,1092,1350],"clock_positions":[60,318,576,834,1092,1350],"native_values":[243,448,205,530,325,568],"rotation_degrees":13.953488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,448,205,530,325,568],"beta":{"interval_sums":[98300,96629,106549,100361,101259,91339],"interval_residues":[129,4,648,644,769,125],"display_cycle":[129,4,648,644,769,125],"intervals":[{"from_index":60,"to_index":318,"sum":98300,"residue":129},{"from_index":318,"to_index":576,"sum":96629,"residue":4},{"from_index":576,"to_index":834,"sum":106549,"residue":648},{"from_index":834,"to_index":1092,"sum":100361,"residue":644},{"from_index":1092,"to_index":1350,"sum":101259,"residue":769},{"from_index":1350,"to_index":60,"sum":91339,"residue":125}],"minimal_cycle":[129,4,648,644,769,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[60,318],"circle_positions":773,"cycle_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":[61,319,577,835,1093,1351],"clock_positions":[61,319,577,835,1093,1351],"native_values":[321,693,372,452,80,401],"rotation_degrees":14.186046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,693,372,452,80,401],"beta":{"interval_sums":[98427,96141,106707,100234,101747,91181],"interval_residues":[256,289,33,517,484,740],"display_cycle":[256,289,33,517,484,740],"intervals":[{"from_index":61,"to_index":319,"sum":98427,"residue":256},{"from_index":319,"to_index":577,"sum":96141,"residue":289},{"from_index":577,"to_index":835,"sum":106707,"residue":33},{"from_index":835,"to_index":1093,"sum":100234,"residue":517},{"from_index":1093,"to_index":1351,"sum":101747,"residue":484},{"from_index":1351,"to_index":61,"sum":91181,"residue":740}],"minimal_cycle":[256,289,33,517,484,740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[61,319],"circle_positions":773,"cycle_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":[62,320,578,836,1094,1352],"clock_positions":[62,320,578,836,1094,1352],"native_values":[564,368,577,209,405,196],"rotation_degrees":14.418604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,368,577,209,405,196],"beta":{"interval_sums":[98556,96145,106582,100105,101743,91306],"interval_residues":[385,293,681,388,480,92],"display_cycle":[385,293,681,388,480,92],"intervals":[{"from_index":62,"to_index":320,"sum":98556,"residue":385},{"from_index":320,"to_index":578,"sum":96145,"residue":293},{"from_index":578,"to_index":836,"sum":106582,"residue":681},{"from_index":836,"to_index":1094,"sum":100105,"residue":388},{"from_index":1094,"to_index":1352,"sum":101743,"residue":480},{"from_index":1352,"to_index":62,"sum":91306,"residue":92}],"minimal_cycle":[385,293,681,388,480,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[62,320],"circle_positions":773,"cycle_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":[63,321,579,837,1095,1353],"clock_positions":[63,321,579,837,1095,1353],"native_values":[112,288,176,661,485,597],"rotation_degrees":14.651162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,288,176,661,485,597],"beta":{"interval_sums":[98812,96434,106615,99849,101454,91273],"interval_residues":[641,582,714,132,191,59],"display_cycle":[641,582,714,132,191,59],"intervals":[{"from_index":63,"to_index":321,"sum":98812,"residue":641},{"from_index":321,"to_index":579,"sum":96434,"residue":582},{"from_index":579,"to_index":837,"sum":106615,"residue":714},{"from_index":837,"to_index":1095,"sum":99849,"residue":132},{"from_index":1095,"to_index":1353,"sum":101454,"residue":191},{"from_index":1353,"to_index":63,"sum":91273,"residue":59}],"minimal_cycle":[641,582,714,132,191,59],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[63,321],"circle_positions":773,"cycle_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":[64,322,580,838,1096,1354],"clock_positions":[64,322,580,838,1096,1354],"native_values":[676,656,753,97,117,20],"rotation_degrees":14.883720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,656,753,97,117,20],"beta":{"interval_sums":[98424,95954,106523,100237,101934,91365],"interval_residues":[253,102,622,520,671,151],"display_cycle":[253,102,622,520,671,151],"intervals":[{"from_index":64,"to_index":322,"sum":98424,"residue":253},{"from_index":322,"to_index":580,"sum":95954,"residue":102},{"from_index":580,"to_index":838,"sum":106523,"residue":622},{"from_index":838,"to_index":1096,"sum":100237,"residue":520},{"from_index":1096,"to_index":1354,"sum":101934,"residue":671},{"from_index":1354,"to_index":64,"sum":91365,"residue":151}],"minimal_cycle":[253,102,622,520,671,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[64,322],"circle_positions":773,"cycle_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":[65,323,581,839,1097,1355],"clock_positions":[65,323,581,839,1097,1355],"native_values":[15,171,156,758,602,617],"rotation_degrees":15.116279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,171,156,758,602,617],"beta":{"interval_sums":[99065,96536,106464,99596,101352,91424],"interval_residues":[121,684,563,652,89,210],"display_cycle":[121,684,563,652,89,210],"intervals":[{"from_index":65,"to_index":323,"sum":99065,"residue":121},{"from_index":323,"to_index":581,"sum":96536,"residue":684},{"from_index":581,"to_index":839,"sum":106464,"residue":563},{"from_index":839,"to_index":1097,"sum":99596,"residue":652},{"from_index":1097,"to_index":1355,"sum":101352,"residue":89},{"from_index":1355,"to_index":65,"sum":91424,"residue":210}],"minimal_cycle":[121,684,563,652,89,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[65,323],"circle_positions":773,"cycle_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":[66,324,582,840,1098,1356],"clock_positions":[66,324,582,840,1098,1356],"native_values":[691,54,136,82,719,637],"rotation_degrees":15.348837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,54,136,82,719,637],"beta":{"interval_sums":[98545,96638,107086,100116,101250,90802],"interval_residues":[374,13,412,399,760,361],"display_cycle":[374,13,412,399,760,361],"intervals":[{"from_index":66,"to_index":324,"sum":98545,"residue":374},{"from_index":324,"to_index":582,"sum":96638,"residue":13},{"from_index":582,"to_index":840,"sum":107086,"residue":412},{"from_index":840,"to_index":1098,"sum":100116,"residue":399},{"from_index":1098,"to_index":1356,"sum":101250,"residue":760},{"from_index":1356,"to_index":66,"sum":90802,"residue":361}],"minimal_cycle":[374,13,412,399,760,361],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[66,324],"circle_positions":773,"cycle_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":[67,325,583,841,1099,1357],"clock_positions":[67,325,583,841,1099,1357],"native_values":[706,225,292,67,548,481],"rotation_degrees":15.581395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,225,292,67,548,481],"beta":{"interval_sums":[97893,96549,106876,100768,101339,91012],"interval_residues":[495,697,202,278,76,571],"display_cycle":[495,697,202,278,76,571],"intervals":[{"from_index":67,"to_index":325,"sum":97893,"residue":495},{"from_index":325,"to_index":583,"sum":96549,"residue":697},{"from_index":583,"to_index":841,"sum":106876,"residue":202},{"from_index":841,"to_index":1099,"sum":100768,"residue":278},{"from_index":1099,"to_index":1357,"sum":101339,"residue":76},{"from_index":1357,"to_index":67,"sum":91012,"residue":571}],"minimal_cycle":[495,697,202,278,76,571],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[67,325],"circle_positions":773,"cycle_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":[68,326,584,842,1100,1358],"clock_positions":[68,326,584,842,1100,1358],"native_values":[624,279,428,149,494,345],"rotation_degrees":15.813953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,279,428,149,494,345],"beta":{"interval_sums":[97494,96562,106515,101167,101326,91373],"interval_residues":[96,710,614,677,63,159],"display_cycle":[96,710,614,677,63,159],"intervals":[{"from_index":68,"to_index":326,"sum":97494,"residue":96},{"from_index":326,"to_index":584,"sum":96562,"residue":710},{"from_index":584,"to_index":842,"sum":106515,"residue":614},{"from_index":842,"to_index":1100,"sum":101167,"residue":677},{"from_index":1100,"to_index":1358,"sum":101326,"residue":63},{"from_index":1358,"to_index":68,"sum":91373,"residue":159}],"minimal_cycle":[96,710,614,677,63,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[68,326],"circle_positions":773,"cycle_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":[69,327,585,843,1101,1359],"clock_positions":[69,327,585,843,1101,1359],"native_values":[557,504,720,216,269,53],"rotation_degrees":16.046511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,504,720,216,269,53],"beta":{"interval_sums":[97216,96486,105944,101445,101402,91944],"interval_residues":[591,634,43,182,139,730],"display_cycle":[591,634,43,182,139,730],"intervals":[{"from_index":69,"to_index":327,"sum":97216,"residue":591},{"from_index":327,"to_index":585,"sum":96486,"residue":634},{"from_index":585,"to_index":843,"sum":105944,"residue":43},{"from_index":843,"to_index":1101,"sum":101445,"residue":182},{"from_index":1101,"to_index":1359,"sum":101402,"residue":139},{"from_index":1359,"to_index":69,"sum":91944,"residue":730}],"minimal_cycle":[591,634,43,182,139,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":591,"start_interval_clock_positions":[69,327],"circle_positions":773,"cycle_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":[70,328,586,844,1102,1360],"clock_positions":[70,328,586,844,1102,1360],"native_values":[408,10,375,365,763,398],"rotation_degrees":16.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,10,375,365,763,398],"beta":{"interval_sums":[97312,97196,105785,101349,100692,92103],"interval_residues":[687,571,657,86,202,116],"display_cycle":[687,571,657,86,202,116],"intervals":[{"from_index":70,"to_index":328,"sum":97312,"residue":687},{"from_index":328,"to_index":586,"sum":97196,"residue":571},{"from_index":586,"to_index":844,"sum":105785,"residue":657},{"from_index":844,"to_index":1102,"sum":101349,"residue":86},{"from_index":1102,"to_index":1360,"sum":100692,"residue":202},{"from_index":1360,"to_index":70,"sum":92103,"residue":116}],"minimal_cycle":[687,571,657,86,202,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":687,"start_interval_clock_positions":[70,328],"circle_positions":773,"cycle_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":[71,329,587,845,1103,1361],"clock_positions":[71,329,587,845,1103,1361],"native_values":[192,514,322,581,259,451],"rotation_degrees":16.511627906976745,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,514,322,581,259,451],"beta":{"interval_sums":[97130,97057,105828,101531,100831,92060],"interval_residues":[505,432,700,268,341,73],"display_cycle":[505,432,700,268,341,73],"intervals":[{"from_index":71,"to_index":329,"sum":97130,"residue":505},{"from_index":329,"to_index":587,"sum":97057,"residue":432},{"from_index":587,"to_index":845,"sum":105828,"residue":700},{"from_index":845,"to_index":1103,"sum":101531,"residue":268},{"from_index":1103,"to_index":1361,"sum":100831,"residue":341},{"from_index":1361,"to_index":71,"sum":92060,"residue":73}],"minimal_cycle":[505,432,700,268,341,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[71,329],"circle_positions":773,"cycle_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":[72,330,588,846,1104,1362],"clock_positions":[72,330,588,846,1104,1362],"native_values":[600,524,697,173,249,76],"rotation_degrees":16.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,524,697,173,249,76],"beta":{"interval_sums":[97044,96855,105712,101617,101033,92176],"interval_residues":[419,230,584,354,543,189],"display_cycle":[419,230,584,354,543,189],"intervals":[{"from_index":72,"to_index":330,"sum":97044,"residue":419},{"from_index":330,"to_index":588,"sum":96855,"residue":230},{"from_index":588,"to_index":846,"sum":105712,"residue":584},{"from_index":846,"to_index":1104,"sum":101617,"residue":354},{"from_index":1104,"to_index":1362,"sum":101033,"residue":543},{"from_index":1362,"to_index":72,"sum":92176,"residue":189}],"minimal_cycle":[419,230,584,354,543,189],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[72,330],"circle_positions":773,"cycle_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":[73,331,589,847,1105,1363],"clock_positions":[73,331,589,847,1105,1363],"native_values":[19,265,246,754,508,527],"rotation_degrees":16.976744186046513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,265,246,754,508,527],"beta":{"interval_sums":[97549,97287,105639,101112,100601,92249],"interval_residues":[151,662,511,622,111,262],"display_cycle":[151,662,511,622,111,262],"intervals":[{"from_index":73,"to_index":331,"sum":97549,"residue":151},{"from_index":331,"to_index":589,"sum":97287,"residue":662},{"from_index":589,"to_index":847,"sum":105639,"residue":511},{"from_index":847,"to_index":1105,"sum":101112,"residue":622},{"from_index":1105,"to_index":1363,"sum":100601,"residue":111},{"from_index":1363,"to_index":73,"sum":92249,"residue":262}],"minimal_cycle":[151,662,511,622,111,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[73,331],"circle_positions":773,"cycle_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":[74,332,590,848,1106,1364],"clock_positions":[74,332,590,848,1106,1364],"native_values":[619,16,170,154,757,603],"rotation_degrees":17.209302325581394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,16,170,154,757,603],"beta":{"interval_sums":[97195,97517,106223,101466,100371,91665],"interval_residues":[570,119,322,203,654,451],"display_cycle":[570,119,322,203,654,451],"intervals":[{"from_index":74,"to_index":332,"sum":97195,"residue":570},{"from_index":332,"to_index":590,"sum":97517,"residue":119},{"from_index":590,"to_index":848,"sum":106223,"residue":322},{"from_index":848,"to_index":1106,"sum":101466,"residue":203},{"from_index":1106,"to_index":1364,"sum":100371,"residue":654},{"from_index":1364,"to_index":74,"sum":91665,"residue":451}],"minimal_cycle":[570,119,322,203,654,451],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[74,332],"circle_positions":773,"cycle_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":[75,333,591,849,1107,1365],"clock_positions":[75,333,591,849,1107,1365],"native_values":[638,281,416,135,492,357],"rotation_degrees":17.441860465116278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,281,416,135,492,357],"beta":{"interval_sums":[96573,97406,105961,102088,100482,91927],"interval_residues":[721,8,60,52,765,713],"display_cycle":[721,8,60,52,765,713],"intervals":[{"from_index":75,"to_index":333,"sum":96573,"residue":721},{"from_index":333,"to_index":591,"sum":97406,"residue":8},{"from_index":591,"to_index":849,"sum":105961,"residue":60},{"from_index":849,"to_index":1107,"sum":102088,"residue":52},{"from_index":1107,"to_index":1365,"sum":100482,"residue":765},{"from_index":1365,"to_index":75,"sum":91927,"residue":713}],"minimal_cycle":[721,8,60,52,765,713],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":721,"start_interval_clock_positions":[75,333],"circle_positions":773,"cycle_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":[76,334,592,850,1108,1366],"clock_positions":[76,334,592,850,1108,1366],"native_values":[484,297,586,289,476,187],"rotation_degrees":17.674418604651162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,297,586,289,476,187],"beta":{"interval_sums":[96370,97525,105510,102291,100363,92378],"interval_residues":[518,127,382,255,646,391],"display_cycle":[518,127,382,255,646,391],"intervals":[{"from_index":76,"to_index":334,"sum":96370,"residue":518},{"from_index":334,"to_index":592,"sum":97525,"residue":127},{"from_index":592,"to_index":850,"sum":105510,"residue":382},{"from_index":850,"to_index":1108,"sum":102291,"residue":255},{"from_index":1108,"to_index":1366,"sum":100363,"residue":646},{"from_index":1366,"to_index":76,"sum":92378,"residue":391}],"minimal_cycle":[518,127,382,255,646,391],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[76,334],"circle_positions":773,"cycle_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":[77,335,593,851,1109,1367],"clock_positions":[77,335,593,851,1109,1367],"native_values":[349,578,229,424,195,544],"rotation_degrees":17.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,578,229,424,195,544],"beta":{"interval_sums":[96318,97533,105570,102343,100355,92318],"interval_residues":[466,135,442,307,638,331],"display_cycle":[466,135,442,307,638,331],"intervals":[{"from_index":77,"to_index":335,"sum":96318,"residue":466},{"from_index":335,"to_index":593,"sum":97533,"residue":135},{"from_index":593,"to_index":851,"sum":105570,"residue":442},{"from_index":851,"to_index":1109,"sum":102343,"residue":307},{"from_index":1109,"to_index":1367,"sum":100355,"residue":638},{"from_index":1367,"to_index":77,"sum":92318,"residue":331}],"minimal_cycle":[466,135,442,307,638,331],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[77,335],"circle_positions":773,"cycle_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":[78,336,594,852,1110,1368],"clock_positions":[78,336,594,852,1110,1368],"native_values":[60,102,42,713,671,731],"rotation_degrees":18.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,102,42,713,671,731],"beta":{"interval_sums":[96836,97660,105952,101825,100228,91936],"interval_residues":[211,262,51,562,511,722],"display_cycle":[211,262,51,562,511,722],"intervals":[{"from_index":78,"to_index":336,"sum":96836,"residue":211},{"from_index":336,"to_index":594,"sum":97660,"residue":262},{"from_index":594,"to_index":852,"sum":105952,"residue":51},{"from_index":852,"to_index":1110,"sum":101825,"residue":562},{"from_index":1110,"to_index":1368,"sum":100228,"residue":511},{"from_index":1368,"to_index":78,"sum":91936,"residue":722}],"minimal_cycle":[211,262,51,562,511,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[78,336],"circle_positions":773,"cycle_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":[79,337,595,853,1111,1369],"clock_positions":[79,337,595,853,1111,1369],"native_values":[409,680,271,364,93,502],"rotation_degrees":18.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,680,271,364,93,502],"beta":{"interval_sums":[96529,97022,106394,102132,100866,91494],"interval_residues":[677,397,493,96,376,280],"display_cycle":[677,397,493,96,376,280],"intervals":[{"from_index":79,"to_index":337,"sum":96529,"residue":677},{"from_index":337,"to_index":595,"sum":97022,"residue":397},{"from_index":595,"to_index":853,"sum":106394,"residue":493},{"from_index":853,"to_index":1111,"sum":102132,"residue":96},{"from_index":1111,"to_index":1369,"sum":100866,"residue":376},{"from_index":1369,"to_index":79,"sum":91494,"residue":280}],"minimal_cycle":[677,397,493,96,376,280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[79,337],"circle_positions":773,"cycle_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":[80,338,596,854,1112,1370],"clock_positions":[80,338,596,854,1112,1370],"native_values":[469,9,313,304,764,460],"rotation_degrees":18.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,9,313,304,764,460],"beta":{"interval_sums":[96740,97284,106445,101921,100604,91443],"interval_residues":[115,659,544,658,114,229],"display_cycle":[115,659,544,658,114,229],"intervals":[{"from_index":80,"to_index":338,"sum":96740,"residue":115},{"from_index":338,"to_index":596,"sum":97284,"residue":659},{"from_index":596,"to_index":854,"sum":106445,"residue":544},{"from_index":854,"to_index":1112,"sum":101921,"residue":658},{"from_index":1112,"to_index":1370,"sum":100604,"residue":114},{"from_index":1370,"to_index":80,"sum":91443,"residue":229}],"minimal_cycle":[115,659,544,658,114,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":115,"start_interval_clock_positions":[80,338],"circle_positions":773,"cycle_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":[81,339,597,855,1113,1371],"clock_positions":[81,339,597,855,1113,1371],"native_values":[105,689,584,668,84,189],"rotation_degrees":18.837209302325583,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,689,584,668,84,189],"beta":{"interval_sums":[96644,96908,106165,102017,100980,91723],"interval_residues":[19,283,264,754,490,509],"display_cycle":[19,283,264,754,490,509],"intervals":[{"from_index":81,"to_index":339,"sum":96644,"residue":19},{"from_index":339,"to_index":597,"sum":96908,"residue":283},{"from_index":597,"to_index":855,"sum":106165,"residue":264},{"from_index":855,"to_index":1113,"sum":102017,"residue":754},{"from_index":1113,"to_index":1371,"sum":100980,"residue":490},{"from_index":1371,"to_index":81,"sum":91723,"residue":509}],"minimal_cycle":[19,283,264,754,490,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[81,339],"circle_positions":773,"cycle_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":[82,340,598,856,1114,1372],"clock_positions":[82,340,598,856,1114,1372],"native_values":[574,698,124,199,75,649],"rotation_degrees":19.069767441860463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,698,124,199,75,649],"beta":{"interval_sums":[96759,96794,106709,101902,101094,91179],"interval_residues":[134,169,35,639,604,738],"display_cycle":[134,169,35,639,604,738],"intervals":[{"from_index":82,"to_index":340,"sum":96759,"residue":134},{"from_index":340,"to_index":598,"sum":96794,"residue":169},{"from_index":598,"to_index":856,"sum":106709,"residue":35},{"from_index":856,"to_index":1114,"sum":101902,"residue":639},{"from_index":1114,"to_index":1372,"sum":101094,"residue":604},{"from_index":1372,"to_index":82,"sum":91179,"residue":738}],"minimal_cycle":[134,169,35,639,604,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[82,340],"circle_positions":773,"cycle_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":[83,341,599,857,1115,1373],"clock_positions":[83,341,599,857,1115,1373],"native_values":[679,614,708,94,159,65],"rotation_degrees":19.302325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,614,708,94,159,65],"beta":{"interval_sums":[96778,96304,106200,101883,101584,91688],"interval_residues":[153,452,299,620,321,474],"display_cycle":[153,452,299,620,321,474],"intervals":[{"from_index":83,"to_index":341,"sum":96778,"residue":153},{"from_index":341,"to_index":599,"sum":96304,"residue":452},{"from_index":599,"to_index":857,"sum":106200,"residue":299},{"from_index":857,"to_index":1115,"sum":101883,"residue":620},{"from_index":1115,"to_index":1373,"sum":101584,"residue":321},{"from_index":1373,"to_index":83,"sum":91688,"residue":474}],"minimal_cycle":[153,452,299,620,321,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[83,341],"circle_positions":773,"cycle_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":[84,342,600,858,1116,1374],"clock_positions":[84,342,600,858,1116,1374],"native_values":[480,539,59,293,234,714],"rotation_degrees":19.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,539,59,293,234,714],"beta":{"interval_sums":[96912,96473,106235,101749,101415,91653],"interval_residues":[287,621,334,486,152,439],"display_cycle":[287,621,334,486,152,439],"intervals":[{"from_index":84,"to_index":342,"sum":96912,"residue":287},{"from_index":342,"to_index":600,"sum":96473,"residue":621},{"from_index":600,"to_index":858,"sum":106235,"residue":334},{"from_index":858,"to_index":1116,"sum":101749,"residue":486},{"from_index":1116,"to_index":1374,"sum":101415,"residue":152},{"from_index":1374,"to_index":84,"sum":91653,"residue":439}],"minimal_cycle":[287,621,334,486,152,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[84,342],"circle_positions":773,"cycle_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":[85,343,601,859,1117,1375],"clock_positions":[85,343,601,859,1117,1375],"native_values":[386,380,767,387,393,6],"rotation_degrees":19.767441860465116,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,380,767,387,393,6],"beta":{"interval_sums":[97065,96152,105761,101596,101736,92127],"interval_residues":[440,300,633,333,473,140],"display_cycle":[440,300,633,333,473,140],"intervals":[{"from_index":85,"to_index":343,"sum":97065,"residue":440},{"from_index":343,"to_index":601,"sum":96152,"residue":300},{"from_index":601,"to_index":859,"sum":105761,"residue":633},{"from_index":859,"to_index":1117,"sum":101596,"residue":333},{"from_index":1117,"to_index":1375,"sum":101736,"residue":473},{"from_index":1375,"to_index":85,"sum":92127,"residue":140}],"minimal_cycle":[440,300,633,333,473,140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[85,343],"circle_positions":773,"cycle_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":[86,344,602,860,1118,1376],"clock_positions":[86,344,602,860,1118,1376],"native_values":[93,146,53,680,627,720],"rotation_degrees":20.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,146,53,680,627,720],"beta":{"interval_sums":[97352,96773,106095,101309,101115,91793],"interval_residues":[727,148,194,46,625,579],"display_cycle":[727,148,194,46,625,579],"intervals":[{"from_index":86,"to_index":344,"sum":97352,"residue":727},{"from_index":344,"to_index":602,"sum":96773,"residue":148},{"from_index":602,"to_index":860,"sum":106095,"residue":194},{"from_index":860,"to_index":1118,"sum":101309,"residue":46},{"from_index":1118,"to_index":1376,"sum":101115,"residue":625},{"from_index":1376,"to_index":86,"sum":91793,"residue":579}],"minimal_cycle":[727,148,194,46,625,579],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":727,"start_interval_clock_positions":[86,344],"circle_positions":773,"cycle_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":[87,345,603,861,1119,1377],"clock_positions":[87,345,603,861,1119,1377],"native_values":[479,526,47,294,247,726],"rotation_degrees":20.232558139534884,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,526,47,294,247,726],"beta":{"interval_sums":[97019,96300,106728,101642,101588,91160],"interval_residues":[394,448,54,379,325,719],"display_cycle":[394,448,54,379,325,719],"intervals":[{"from_index":87,"to_index":345,"sum":97019,"residue":394},{"from_index":345,"to_index":603,"sum":96300,"residue":448},{"from_index":603,"to_index":861,"sum":106728,"residue":54},{"from_index":861,"to_index":1119,"sum":101642,"residue":379},{"from_index":1119,"to_index":1377,"sum":101588,"residue":325},{"from_index":1377,"to_index":87,"sum":91160,"residue":719}],"minimal_cycle":[394,448,54,379,325,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[87,345],"circle_positions":773,"cycle_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":[88,346,604,862,1120,1378],"clock_positions":[88,346,604,862,1120,1378],"native_values":[572,672,100,201,101,673],"rotation_degrees":20.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[572,672,100,201,101,673],"beta":{"interval_sums":[96973,95675,106922,101688,102213,90966],"interval_residues":[348,596,248,425,177,525],"display_cycle":[348,596,248,425,177,525],"intervals":[{"from_index":88,"to_index":346,"sum":96973,"residue":348},{"from_index":346,"to_index":604,"sum":95675,"residue":596},{"from_index":604,"to_index":862,"sum":106922,"residue":248},{"from_index":862,"to_index":1120,"sum":101688,"residue":425},{"from_index":1120,"to_index":1378,"sum":102213,"residue":177},{"from_index":1378,"to_index":88,"sum":90966,"residue":525}],"minimal_cycle":[348,596,248,425,177,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[88,346],"circle_positions":773,"cycle_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":[89,347,605,863,1121,1379],"clock_positions":[89,347,605,863,1121,1379],"native_values":[278,425,147,495,348,626],"rotation_degrees":20.697674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,425,147,495,348,626],"beta":{"interval_sums":[97367,95350,106976,101294,102538,90912],"interval_residues":[742,271,302,31,502,471],"display_cycle":[742,271,302,31,502,471],"intervals":[{"from_index":89,"to_index":347,"sum":97367,"residue":742},{"from_index":347,"to_index":605,"sum":95350,"residue":271},{"from_index":605,"to_index":863,"sum":106976,"residue":302},{"from_index":863,"to_index":1121,"sum":101294,"residue":31},{"from_index":1121,"to_index":1379,"sum":102538,"residue":502},{"from_index":1379,"to_index":89,"sum":90912,"residue":471}],"minimal_cycle":[742,271,302,31,502,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":742,"start_interval_clock_positions":[89,347],"circle_positions":773,"cycle_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":[90,348,606,864,1122,1380],"clock_positions":[90,348,606,864,1122,1380],"native_values":[77,324,247,696,449,526],"rotation_degrees":20.930232558139537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,324,247,696,449,526],"beta":{"interval_sums":[97715,95173,107224,100946,102715,90664],"interval_residues":[317,94,550,456,679,223],"display_cycle":[317,94,550,456,679,223],"intervals":[{"from_index":90,"to_index":348,"sum":97715,"residue":317},{"from_index":348,"to_index":606,"sum":95173,"residue":94},{"from_index":606,"to_index":864,"sum":107224,"residue":550},{"from_index":864,"to_index":1122,"sum":100946,"residue":456},{"from_index":1122,"to_index":1380,"sum":102715,"residue":679},{"from_index":1380,"to_index":90,"sum":90664,"residue":223}],"minimal_cycle":[317,94,550,456,679,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[90,348],"circle_positions":773,"cycle_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":[91,349,607,865,1123,1381],"clock_positions":[91,349,607,865,1123,1381],"native_values":[355,749,394,418,24,379],"rotation_degrees":21.162790697674417,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,749,394,418,24,379],"beta":{"interval_sums":[97684,94671,107526,100977,103217,90362],"interval_residues":[286,365,79,487,408,694],"display_cycle":[286,365,79,487,408,694],"intervals":[{"from_index":91,"to_index":349,"sum":97684,"residue":286},{"from_index":349,"to_index":607,"sum":94671,"residue":365},{"from_index":607,"to_index":865,"sum":107526,"residue":79},{"from_index":865,"to_index":1123,"sum":100977,"residue":487},{"from_index":1123,"to_index":1381,"sum":103217,"residue":408},{"from_index":1381,"to_index":91,"sum":90362,"residue":694}],"minimal_cycle":[286,365,79,487,408,694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[91,349],"circle_positions":773,"cycle_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":[92,350,608,866,1124,1382],"clock_positions":[92,350,608,866,1124,1382],"native_values":[432,300,641,341,473,132],"rotation_degrees":21.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[432,300,641,341,473,132],"beta":{"interval_sums":[98001,94765,107303,100660,103123,90585],"interval_residues":[603,459,629,170,314,144],"display_cycle":[603,459,629,170,314,144],"intervals":[{"from_index":92,"to_index":350,"sum":98001,"residue":603},{"from_index":350,"to_index":608,"sum":94765,"residue":459},{"from_index":608,"to_index":866,"sum":107303,"residue":629},{"from_index":866,"to_index":1124,"sum":100660,"residue":170},{"from_index":1124,"to_index":1382,"sum":103123,"residue":314},{"from_index":1382,"to_index":92,"sum":90585,"residue":144}],"minimal_cycle":[603,459,629,170,314,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[92,350],"circle_positions":773,"cycle_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":[93,351,609,867,1125,1383],"clock_positions":[93,351,609,867,1125,1383],"native_values":[14,276,262,759,497,511],"rotation_degrees":21.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,276,262,759,497,511],"beta":{"interval_sums":[98287,95130,107382,100374,102758,90506],"interval_residues":[116,51,708,657,722,65],"display_cycle":[116,51,708,657,722,65],"intervals":[{"from_index":93,"to_index":351,"sum":98287,"residue":116},{"from_index":351,"to_index":609,"sum":95130,"residue":51},{"from_index":609,"to_index":867,"sum":107382,"residue":708},{"from_index":867,"to_index":1125,"sum":100374,"residue":657},{"from_index":1125,"to_index":1383,"sum":102758,"residue":722},{"from_index":1383,"to_index":93,"sum":90506,"residue":65}],"minimal_cycle":[116,51,708,657,722,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[93,351],"circle_positions":773,"cycle_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":[94,352,610,868,1126,1384],"clock_positions":[94,352,610,868,1126,1384],"native_values":[446,576,130,327,197,643],"rotation_degrees":21.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[446,576,130,327,197,643],"beta":{"interval_sums":[98117,94816,108011,100544,103072,89877],"interval_residues":[719,510,564,54,263,209],"display_cycle":[719,510,564,54,263,209],"intervals":[{"from_index":94,"to_index":352,"sum":98117,"residue":719},{"from_index":352,"to_index":610,"sum":94816,"residue":510},{"from_index":610,"to_index":868,"sum":108011,"residue":564},{"from_index":868,"to_index":1126,"sum":100544,"residue":54},{"from_index":1126,"to_index":1384,"sum":103072,"residue":263},{"from_index":1384,"to_index":94,"sum":89877,"residue":209}],"minimal_cycle":[719,510,564,54,263,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":719,"start_interval_clock_positions":[94,352],"circle_positions":773,"cycle_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":[95,353,611,869,1127,1385],"clock_positions":[95,353,611,869,1127,1385],"native_values":[460,79,392,313,694,381],"rotation_degrees":22.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,79,392,313,694,381],"beta":{"interval_sums":[98233,94867,107946,100428,103021,89942],"interval_residues":[62,561,499,711,212,274],"display_cycle":[62,561,499,711,212,274],"intervals":[{"from_index":95,"to_index":353,"sum":98233,"residue":62},{"from_index":353,"to_index":611,"sum":94867,"residue":561},{"from_index":611,"to_index":869,"sum":107946,"residue":499},{"from_index":869,"to_index":1127,"sum":100428,"residue":711},{"from_index":1127,"to_index":1385,"sum":103021,"residue":212},{"from_index":1385,"to_index":95,"sum":89942,"residue":274}],"minimal_cycle":[62,561,499,711,212,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[95,353],"circle_positions":773,"cycle_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":[96,354,612,870,1128,1386],"clock_positions":[96,354,612,870,1128,1386],"native_values":[133,655,522,640,118,251],"rotation_degrees":22.325581395348838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,655,522,640,118,251],"beta":{"interval_sums":[98179,94604,107737,100482,103284,90151],"interval_residues":[8,298,290,765,475,483],"display_cycle":[8,298,290,765,475,483],"intervals":[{"from_index":96,"to_index":354,"sum":98179,"residue":8},{"from_index":354,"to_index":612,"sum":94604,"residue":298},{"from_index":612,"to_index":870,"sum":107737,"residue":290},{"from_index":870,"to_index":1128,"sum":100482,"residue":765},{"from_index":1128,"to_index":1386,"sum":103284,"residue":475},{"from_index":1386,"to_index":96,"sum":90151,"residue":483}],"minimal_cycle":[8,298,290,765,475,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[96,354],"circle_positions":773,"cycle_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":[97,355,613,871,1129,1387],"clock_positions":[97,355,613,871,1129,1387],"native_values":[593,734,141,180,39,632],"rotation_degrees":22.558139534883722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,734,141,180,39,632],"beta":{"interval_sums":[98241,94392,108236,100420,103496,89652],"interval_residues":[70,86,16,703,687,757],"display_cycle":[70,86,16,703,687,757],"intervals":[{"from_index":97,"to_index":355,"sum":98241,"residue":70},{"from_index":355,"to_index":613,"sum":94392,"residue":86},{"from_index":613,"to_index":871,"sum":108236,"residue":16},{"from_index":871,"to_index":1129,"sum":100420,"residue":703},{"from_index":1129,"to_index":1387,"sum":103496,"residue":687},{"from_index":1387,"to_index":97,"sum":89652,"residue":757}],"minimal_cycle":[70,86,16,703,687,757],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[97,355],"circle_positions":773,"cycle_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":[98,356,614,872,1130,1388],"clock_positions":[98,356,614,872,1130,1388],"native_values":[726,616,663,47,157,110],"rotation_degrees":22.790697674418606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,616,663,47,157,110],"beta":{"interval_sums":[98249,93917,107753,100412,103971,90135],"interval_residues":[78,384,306,695,389,467],"display_cycle":[78,384,306,695,389,467],"intervals":[{"from_index":98,"to_index":356,"sum":98249,"residue":78},{"from_index":356,"to_index":614,"sum":93917,"residue":384},{"from_index":614,"to_index":872,"sum":107753,"residue":306},{"from_index":872,"to_index":1130,"sum":100412,"residue":695},{"from_index":1130,"to_index":1388,"sum":103971,"residue":389},{"from_index":1388,"to_index":98,"sum":90135,"residue":467}],"minimal_cycle":[78,384,306,695,389,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[98,356],"circle_positions":773,"cycle_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":[99,357,615,873,1131,1389],"clock_positions":[99,357,615,873,1131,1389],"native_values":[546,577,31,227,196,742],"rotation_degrees":23.023255813953487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,577,31,227,196,742],"beta":{"interval_sums":[98319,94003,107769,100342,103885,90119],"interval_residues":[148,470,322,625,303,451],"display_cycle":[148,470,322,625,303,451],"intervals":[{"from_index":99,"to_index":357,"sum":98319,"residue":148},{"from_index":357,"to_index":615,"sum":94003,"residue":470},{"from_index":615,"to_index":873,"sum":107769,"residue":322},{"from_index":873,"to_index":1131,"sum":100342,"residue":625},{"from_index":1131,"to_index":1389,"sum":103885,"residue":303},{"from_index":1389,"to_index":99,"sum":90119,"residue":451}],"minimal_cycle":[148,470,322,625,303,451],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[99,357],"circle_positions":773,"cycle_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":[100,358,616,874,1132,1390],"clock_positions":[100,358,616,874,1132,1390],"native_values":[499,420,694,274,353,79],"rotation_degrees":23.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,420,694,274,353,79],"beta":{"interval_sums":[98397,93614,107302,100264,104274,90586],"interval_residues":[226,81,628,547,692,145],"display_cycle":[226,81,628,547,692,145],"intervals":[{"from_index":100,"to_index":358,"sum":98397,"residue":226},{"from_index":358,"to_index":616,"sum":93614,"residue":81},{"from_index":616,"to_index":874,"sum":107302,"residue":628},{"from_index":874,"to_index":1132,"sum":100264,"residue":547},{"from_index":1132,"to_index":1390,"sum":104274,"residue":692},{"from_index":1390,"to_index":100,"sum":90586,"residue":145}],"minimal_cycle":[226,81,628,547,692,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[100,358],"circle_positions":773,"cycle_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":[101,359,617,875,1133,1391],"clock_positions":[101,359,617,875,1133,1391],"native_values":[272,224,725,501,549,48],"rotation_degrees":23.488372093023255,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,224,725,501,549,48],"beta":{"interval_sums":[98545,94084,106851,100116,103804,91037],"interval_residues":[374,551,177,399,222,596],"display_cycle":[374,551,177,399,222,596],"intervals":[{"from_index":101,"to_index":359,"sum":98545,"residue":374},{"from_index":359,"to_index":617,"sum":94084,"residue":551},{"from_index":617,"to_index":875,"sum":106851,"residue":177},{"from_index":875,"to_index":1133,"sum":100116,"residue":399},{"from_index":1133,"to_index":1391,"sum":103804,"residue":222},{"from_index":1391,"to_index":101,"sum":91037,"residue":596}],"minimal_cycle":[374,551,177,399,222,596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[101,359],"circle_positions":773,"cycle_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":[102,360,618,876,1134,1392],"clock_positions":[102,360,618,876,1134,1392],"native_values":[771,644,646,2,129,127],"rotation_degrees":23.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,644,646,2,129,127],"beta":{"interval_sums":[97998,94165,106706,100663,103723,91182],"interval_residues":[600,632,32,173,141,741],"display_cycle":[600,632,32,173,141,741],"intervals":[{"from_index":102,"to_index":360,"sum":97998,"residue":600},{"from_index":360,"to_index":618,"sum":94165,"residue":632},{"from_index":618,"to_index":876,"sum":106706,"residue":32},{"from_index":876,"to_index":1134,"sum":100663,"residue":173},{"from_index":1134,"to_index":1392,"sum":103723,"residue":141},{"from_index":1392,"to_index":102,"sum":91182,"residue":741}],"minimal_cycle":[600,632,32,173,141,741],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[102,360],"circle_positions":773,"cycle_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":[103,361,619,877,1135,1393],"clock_positions":[103,361,619,877,1135,1393],"native_values":[270,95,598,503,678,175],"rotation_degrees":23.953488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,95,598,503,678,175],"beta":{"interval_sums":[98372,94716,106110,100289,103172,91778],"interval_residues":[201,410,209,572,363,564],"display_cycle":[201,410,209,572,363,564],"intervals":[{"from_index":103,"to_index":361,"sum":98372,"residue":201},{"from_index":361,"to_index":619,"sum":94716,"residue":410},{"from_index":619,"to_index":877,"sum":106110,"residue":209},{"from_index":877,"to_index":1135,"sum":100289,"residue":572},{"from_index":1135,"to_index":1393,"sum":103172,"residue":363},{"from_index":1393,"to_index":103,"sum":91778,"residue":564}],"minimal_cycle":[201,410,209,572,363,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[103,361],"circle_positions":773,"cycle_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":[104,362,620,878,1136,1394],"clock_positions":[104,362,620,878,1136,1394],"native_values":[268,739,471,505,34,302],"rotation_degrees":24.186046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,739,471,505,34,302],"beta":{"interval_sums":[98199,94575,106142,100462,103313,91746],"interval_residues":[28,269,241,745,504,532],"display_cycle":[28,269,241,745,504,532],"intervals":[{"from_index":104,"to_index":362,"sum":98199,"residue":28},{"from_index":362,"to_index":620,"sum":94575,"residue":269},{"from_index":620,"to_index":878,"sum":106142,"residue":241},{"from_index":878,"to_index":1136,"sum":100462,"residue":745},{"from_index":1136,"to_index":1394,"sum":103313,"residue":504},{"from_index":1394,"to_index":104,"sum":91746,"residue":532}],"minimal_cycle":[28,269,241,745,504,532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[104,362],"circle_positions":773,"cycle_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":[105,363,621,879,1137,1395],"clock_positions":[105,363,621,879,1137,1395],"native_values":[538,61,296,235,712,477],"rotation_degrees":24.41860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,61,296,235,712,477],"beta":{"interval_sums":[98400,94985,106351,100261,102903,91537],"interval_residues":[229,679,450,544,94,323],"display_cycle":[229,679,450,544,94,323],"intervals":[{"from_index":105,"to_index":363,"sum":98400,"residue":229},{"from_index":363,"to_index":621,"sum":94985,"residue":679},{"from_index":621,"to_index":879,"sum":106351,"residue":450},{"from_index":879,"to_index":1137,"sum":100261,"residue":544},{"from_index":1137,"to_index":1395,"sum":102903,"residue":94},{"from_index":1395,"to_index":105,"sum":91537,"residue":323}],"minimal_cycle":[229,679,450,544,94,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[105,363],"circle_positions":773,"cycle_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":[106,364,622,880,1138,1396],"clock_positions":[106,364,622,880,1138,1396],"native_values":[33,27,767,740,746,6],"rotation_degrees":24.651162790697676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,27,767,740,746,6],"beta":{"interval_sums":[98428,95254,105819,100233,102634,92069],"interval_residues":[257,175,691,516,598,82],"display_cycle":[257,175,691,516,598,82],"intervals":[{"from_index":106,"to_index":364,"sum":98428,"residue":257},{"from_index":364,"to_index":622,"sum":95254,"residue":175},{"from_index":622,"to_index":880,"sum":105819,"residue":691},{"from_index":880,"to_index":1138,"sum":100233,"residue":516},{"from_index":1138,"to_index":1396,"sum":102634,"residue":598},{"from_index":1396,"to_index":106,"sum":92069,"residue":82}],"minimal_cycle":[257,175,691,516,598,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[106,364],"circle_positions":773,"cycle_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":[107,365,623,881,1139,1397],"clock_positions":[107,365,623,881,1139,1397],"native_values":[571,88,290,202,685,483],"rotation_degrees":24.88372093023256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,88,290,202,685,483],"beta":{"interval_sums":[97884,95933,106269,100777,101955,91619],"interval_residues":[486,81,368,287,692,405],"display_cycle":[486,81,368,287,692,405],"intervals":[{"from_index":107,"to_index":365,"sum":97884,"residue":486},{"from_index":365,"to_index":623,"sum":95933,"residue":81},{"from_index":623,"to_index":881,"sum":106269,"residue":368},{"from_index":881,"to_index":1139,"sum":100777,"residue":287},{"from_index":1139,"to_index":1397,"sum":101955,"residue":692},{"from_index":1397,"to_index":107,"sum":91619,"residue":405}],"minimal_cycle":[486,81,368,287,692,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[107,365],"circle_positions":773,"cycle_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":[108,366,624,882,1140,1398],"clock_positions":[108,366,624,882,1140,1398],"native_values":[604,115,284,169,658,489],"rotation_degrees":25.11627906976744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,115,284,169,658,489],"beta":{"interval_sums":[97368,96108,106187,101293,101780,91701],"interval_residues":[743,256,286,30,517,487],"display_cycle":[743,256,286,30,517,487],"intervals":[{"from_index":108,"to_index":366,"sum":97368,"residue":743},{"from_index":366,"to_index":624,"sum":96108,"residue":256},{"from_index":624,"to_index":882,"sum":106187,"residue":286},{"from_index":882,"to_index":1140,"sum":101293,"residue":30},{"from_index":1140,"to_index":1398,"sum":101780,"residue":517},{"from_index":1398,"to_index":108,"sum":91701,"residue":487}],"minimal_cycle":[743,256,286,30,517,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[108,366],"circle_positions":773,"cycle_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":[109,367,625,883,1141,1399],"clock_positions":[109,367,625,883,1141,1399],"native_values":[402,203,574,371,570,199],"rotation_degrees":25.348837209302324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,203,574,371,570,199],"beta":{"interval_sums":[97081,96189,105782,101580,101699,92106],"interval_residues":[456,337,654,317,436,119],"display_cycle":[456,337,654,317,436,119],"intervals":[{"from_index":109,"to_index":367,"sum":97081,"residue":456},{"from_index":367,"to_index":625,"sum":96189,"residue":337},{"from_index":625,"to_index":883,"sum":105782,"residue":654},{"from_index":883,"to_index":1141,"sum":101580,"residue":317},{"from_index":1141,"to_index":1399,"sum":101699,"residue":436},{"from_index":1399,"to_index":109,"sum":92106,"residue":119}],"minimal_cycle":[456,337,654,317,436,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[109,367],"circle_positions":773,"cycle_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":[110,368,626,884,1142,1400],"clock_positions":[110,368,626,884,1142,1400],"native_values":[233,318,85,540,455,688],"rotation_degrees":25.58139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,318,85,540,455,688],"beta":{"interval_sums":[97051,96445,106068,101610,101443,91820],"interval_residues":[426,593,167,347,180,606],"display_cycle":[426,593,167,347,180,606],"intervals":[{"from_index":110,"to_index":368,"sum":97051,"residue":426},{"from_index":368,"to_index":626,"sum":96445,"residue":593},{"from_index":626,"to_index":884,"sum":106068,"residue":167},{"from_index":884,"to_index":1142,"sum":101610,"residue":347},{"from_index":1142,"to_index":1400,"sum":101443,"residue":180},{"from_index":1400,"to_index":110,"sum":91820,"residue":606}],"minimal_cycle":[426,593,167,347,180,606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[110,368],"circle_positions":773,"cycle_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":[111,369,627,885,1143,1401],"clock_positions":[111,369,627,885,1143,1401],"native_values":[635,521,659,138,252,114],"rotation_degrees":25.813953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,521,659,138,252,114],"beta":{"interval_sums":[96734,96009,105949,101927,101879,91939],"interval_residues":[109,157,48,664,616,725],"display_cycle":[109,157,48,664,616,725],"intervals":[{"from_index":111,"to_index":369,"sum":96734,"residue":109},{"from_index":369,"to_index":627,"sum":96009,"residue":157},{"from_index":627,"to_index":885,"sum":105949,"residue":48},{"from_index":885,"to_index":1143,"sum":101927,"residue":664},{"from_index":1143,"to_index":1401,"sum":101879,"residue":616},{"from_index":1401,"to_index":111,"sum":91939,"residue":725}],"minimal_cycle":[109,157,48,664,616,725],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":109,"start_interval_clock_positions":[111,369],"circle_positions":773,"cycle_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":[112,370,628,886,1144,1402],"clock_positions":[112,370,628,886,1144,1402],"native_values":[95,66,744,678,707,29],"rotation_degrees":26.046511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,66,744,678,707,29],"beta":{"interval_sums":[97160,96602,105343,101501,101286,92545],"interval_residues":[535,750,215,238,23,558],"display_cycle":[535,750,215,238,23,558],"intervals":[{"from_index":112,"to_index":370,"sum":97160,"residue":535},{"from_index":370,"to_index":628,"sum":96602,"residue":750},{"from_index":628,"to_index":886,"sum":105343,"residue":215},{"from_index":886,"to_index":1144,"sum":101501,"residue":238},{"from_index":1144,"to_index":1402,"sum":101286,"residue":23},{"from_index":1402,"to_index":112,"sum":92545,"residue":558}],"minimal_cycle":[535,750,215,238,23,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":535,"start_interval_clock_positions":[112,370],"circle_positions":773,"cycle_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":[113,371,629,887,1145,1403],"clock_positions":[113,371,629,887,1145,1403],"native_values":[730,587,630,43,186,143],"rotation_degrees":26.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,587,630,43,186,143],"beta":{"interval_sums":[96496,96759,105391,102165,101129,92497],"interval_residues":[644,134,263,129,639,510],"display_cycle":[644,134,263,129,639,510],"intervals":[{"from_index":113,"to_index":371,"sum":96496,"residue":644},{"from_index":371,"to_index":629,"sum":96759,"residue":134},{"from_index":629,"to_index":887,"sum":105391,"residue":263},{"from_index":887,"to_index":1145,"sum":102165,"residue":129},{"from_index":1145,"to_index":1403,"sum":101129,"residue":639},{"from_index":1403,"to_index":113,"sum":92497,"residue":510}],"minimal_cycle":[644,134,263,129,639,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[113,371],"circle_positions":773,"cycle_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":[114,372,630,888,1146,1404],"clock_positions":[114,372,630,888,1146,1404],"native_values":[52,653,601,721,120,172],"rotation_degrees":26.511627906976745,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,653,601,721,120,172],"beta":{"interval_sums":[97031,96736,104833,101630,101152,93055],"interval_residues":[406,111,478,367,662,295],"display_cycle":[406,111,478,367,662,295],"intervals":[{"from_index":114,"to_index":372,"sum":97031,"residue":406},{"from_index":372,"to_index":630,"sum":96736,"residue":111},{"from_index":630,"to_index":888,"sum":104833,"residue":478},{"from_index":888,"to_index":1146,"sum":101630,"residue":367},{"from_index":1146,"to_index":1404,"sum":101152,"residue":662},{"from_index":1404,"to_index":114,"sum":93055,"residue":295}],"minimal_cycle":[406,111,478,367,662,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[114,372],"circle_positions":773,"cycle_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":[115,373,631,889,1147,1405],"clock_positions":[115,373,631,889,1147,1405],"native_values":[9,467,458,764,306,315],"rotation_degrees":26.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,467,458,764,306,315],"beta":{"interval_sums":[97675,96870,105096,100986,101018,92792],"interval_residues":[277,245,741,496,528,32],"display_cycle":[277,245,741,496,528,32],"intervals":[{"from_index":115,"to_index":373,"sum":97675,"residue":277},{"from_index":373,"to_index":631,"sum":96870,"residue":245},{"from_index":631,"to_index":889,"sum":105096,"residue":741},{"from_index":889,"to_index":1147,"sum":100986,"residue":496},{"from_index":1147,"to_index":1405,"sum":101018,"residue":528},{"from_index":1405,"to_index":115,"sum":92792,"residue":32}],"minimal_cycle":[277,245,741,496,528,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[115,373],"circle_positions":773,"cycle_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":[116,374,632,890,1148,1406],"clock_positions":[116,374,632,890,1148,1406],"native_values":[61,347,286,712,426,487],"rotation_degrees":26.976744186046513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,347,286,712,426,487],"beta":{"interval_sums":[98081,96981,105574,100580,100907,92314],"interval_residues":[683,356,446,90,417,327],"display_cycle":[683,356,446,90,417,327],"intervals":[{"from_index":116,"to_index":374,"sum":98081,"residue":683},{"from_index":374,"to_index":632,"sum":96981,"residue":356},{"from_index":632,"to_index":890,"sum":105574,"residue":446},{"from_index":890,"to_index":1148,"sum":100580,"residue":90},{"from_index":1148,"to_index":1406,"sum":100907,"residue":417},{"from_index":1406,"to_index":116,"sum":92314,"residue":327}],"minimal_cycle":[683,356,446,90,417,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":683,"start_interval_clock_positions":[116,374],"circle_positions":773,"cycle_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":[117,375,633,891,1149,1407],"clock_positions":[117,375,633,891,1149,1407],"native_values":[70,41,744,703,732,29],"rotation_degrees":27.209302325581394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,41,744,703,732,29],"beta":{"interval_sums":[98358,97226,105542,100303,100662,92346],"interval_residues":[187,601,414,586,172,359],"display_cycle":[187,601,414,586,172,359],"intervals":[{"from_index":117,"to_index":375,"sum":98358,"residue":187},{"from_index":375,"to_index":633,"sum":97226,"residue":601},{"from_index":633,"to_index":891,"sum":105542,"residue":414},{"from_index":891,"to_index":1149,"sum":100303,"residue":586},{"from_index":1149,"to_index":1407,"sum":100662,"residue":172},{"from_index":1407,"to_index":117,"sum":92346,"residue":359}],"minimal_cycle":[187,601,414,586,172,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[117,375],"circle_positions":773,"cycle_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":[118,376,634,892,1150,1408],"clock_positions":[118,376,634,892,1150,1408],"native_values":[131,388,257,642,385,516],"rotation_degrees":27.441860465116278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,388,257,642,385,516],"beta":{"interval_sums":[98268,97582,105988,100393,100306,91900],"interval_residues":[97,184,87,676,589,686],"display_cycle":[97,184,87,676,589,686],"intervals":[{"from_index":118,"to_index":376,"sum":98268,"residue":97},{"from_index":376,"to_index":634,"sum":97582,"residue":184},{"from_index":634,"to_index":892,"sum":105988,"residue":87},{"from_index":892,"to_index":1150,"sum":100393,"residue":676},{"from_index":1150,"to_index":1408,"sum":100306,"residue":589},{"from_index":1408,"to_index":118,"sum":91900,"residue":686}],"minimal_cycle":[97,184,87,676,589,686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":97,"start_interval_clock_positions":[118,376],"circle_positions":773,"cycle_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":[119,377,635,893,1151,1409],"clock_positions":[119,377,635,893,1151,1409],"native_values":[201,429,228,572,344,545],"rotation_degrees":27.674418604651162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,429,228,572,344,545],"beta":{"interval_sums":[98455,97410,106402,100206,100478,91486],"interval_residues":[284,12,501,489,761,272],"display_cycle":[284,12,501,489,761,272],"intervals":[{"from_index":119,"to_index":377,"sum":98455,"residue":284},{"from_index":377,"to_index":635,"sum":97410,"residue":12},{"from_index":635,"to_index":893,"sum":106402,"residue":501},{"from_index":893,"to_index":1151,"sum":100206,"residue":489},{"from_index":1151,"to_index":1409,"sum":100478,"residue":761},{"from_index":1409,"to_index":119,"sum":91486,"residue":272}],"minimal_cycle":[284,12,501,489,761,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[119,377],"circle_positions":773,"cycle_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":[120,378,636,894,1152,1410],"clock_positions":[120,378,636,894,1152,1410],"native_values":[332,44,485,441,729,288],"rotation_degrees":27.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,44,485,441,729,288],"beta":{"interval_sums":[98552,97594,106489,100109,100294,91399],"interval_residues":[381,196,588,392,577,185],"display_cycle":[381,196,588,392,577,185],"intervals":[{"from_index":120,"to_index":378,"sum":98552,"residue":381},{"from_index":378,"to_index":636,"sum":97594,"residue":196},{"from_index":636,"to_index":894,"sum":106489,"residue":588},{"from_index":894,"to_index":1152,"sum":100109,"residue":392},{"from_index":1152,"to_index":1410,"sum":100294,"residue":577},{"from_index":1410,"to_index":120,"sum":91399,"residue":185}],"minimal_cycle":[381,196,588,392,577,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":381,"start_interval_clock_positions":[120,378],"circle_positions":773,"cycle_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":[121,379,637,895,1153,1411],"clock_positions":[121,379,637,895,1153,1411],"native_values":[533,473,713,240,300,60],"rotation_degrees":28.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,473,713,240,300,60],"beta":{"interval_sums":[98063,97606,106217,100598,100282,91671],"interval_residues":[665,208,316,108,565,457],"display_cycle":[665,208,316,108,565,457],"intervals":[{"from_index":121,"to_index":379,"sum":98063,"residue":665},{"from_index":379,"to_index":637,"sum":97606,"residue":208},{"from_index":637,"to_index":895,"sum":106217,"residue":316},{"from_index":895,"to_index":1153,"sum":100598,"residue":108},{"from_index":1153,"to_index":1411,"sum":100282,"residue":565},{"from_index":1411,"to_index":121,"sum":91671,"residue":457}],"minimal_cycle":[665,208,316,108,565,457],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[121,379],"circle_positions":773,"cycle_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":[122,380,638,896,1154,1412],"clock_positions":[122,380,638,896,1154,1412],"native_values":[92,517,425,681,256,348],"rotation_degrees":28.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,517,425,681,256,348],"beta":{"interval_sums":[98444,97802,106032,100217,100086,91856],"interval_residues":[273,404,131,500,369,642],"display_cycle":[273,404,131,500,369,642],"intervals":[{"from_index":122,"to_index":380,"sum":98444,"residue":273},{"from_index":380,"to_index":638,"sum":97802,"residue":404},{"from_index":638,"to_index":896,"sum":106032,"residue":131},{"from_index":896,"to_index":1154,"sum":100217,"residue":500},{"from_index":1154,"to_index":1412,"sum":100086,"residue":369},{"from_index":1412,"to_index":122,"sum":91856,"residue":642}],"minimal_cycle":[273,404,131,500,369,642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[122,380],"circle_positions":773,"cycle_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":[123,381,639,897,1155,1413],"clock_positions":[123,381,639,897,1155,1413],"native_values":[625,217,365,148,556,408],"rotation_degrees":28.6046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,217,365,148,556,408],"beta":{"interval_sums":[98336,98010,106348,100325,99878,91540],"interval_residues":[165,612,447,608,161,326],"display_cycle":[165,612,447,608,161,326],"intervals":[{"from_index":123,"to_index":381,"sum":98336,"residue":165},{"from_index":381,"to_index":639,"sum":98010,"residue":612},{"from_index":639,"to_index":897,"sum":106348,"residue":447},{"from_index":897,"to_index":1155,"sum":100325,"residue":608},{"from_index":1155,"to_index":1413,"sum":99878,"residue":161},{"from_index":1413,"to_index":123,"sum":91540,"residue":326}],"minimal_cycle":[165,612,447,608,161,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[123,381],"circle_positions":773,"cycle_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":[124,382,640,898,1156,1414],"clock_positions":[124,382,640,898,1156,1414],"native_values":[717,734,17,56,39,756],"rotation_degrees":28.837209302325583,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,734,17,56,39,756],"beta":{"interval_sums":[97836,97641,106479,100825,100247,91409],"interval_residues":[438,243,578,335,530,195],"display_cycle":[438,243,578,335,530,195],"intervals":[{"from_index":124,"to_index":382,"sum":97836,"residue":438},{"from_index":382,"to_index":640,"sum":97641,"residue":243},{"from_index":640,"to_index":898,"sum":106479,"residue":578},{"from_index":898,"to_index":1156,"sum":100825,"residue":335},{"from_index":1156,"to_index":1414,"sum":100247,"residue":530},{"from_index":1414,"to_index":124,"sum":91409,"residue":195}],"minimal_cycle":[438,243,578,335,530,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[124,382],"circle_positions":773,"cycle_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":[125,383,641,899,1157,1415],"clock_positions":[125,383,641,899,1157,1415],"native_values":[569,178,382,204,595,391],"rotation_degrees":29.069767441860463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,178,382,204,595,391],"beta":{"interval_sums":[98001,97480,106153,100660,100408,91735],"interval_residues":[603,82,252,170,691,521],"display_cycle":[603,82,252,170,691,521],"intervals":[{"from_index":125,"to_index":383,"sum":98001,"residue":603},{"from_index":383,"to_index":641,"sum":97480,"residue":82},{"from_index":641,"to_index":899,"sum":106153,"residue":252},{"from_index":899,"to_index":1157,"sum":100660,"residue":170},{"from_index":1157,"to_index":1415,"sum":100408,"residue":691},{"from_index":1415,"to_index":125,"sum":91735,"residue":521}],"minimal_cycle":[603,82,252,170,691,521],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[125,383],"circle_positions":773,"cycle_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":[126,384,642,900,1158,1416],"clock_positions":[126,384,642,900,1158,1416],"native_values":[513,139,399,260,634,374],"rotation_degrees":29.302325581395348,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,139,399,260,634,374],"beta":{"interval_sums":[97666,97723,105958,100995,100165,91930],"interval_residues":[268,325,57,505,448,716],"display_cycle":[268,325,57,505,448,716],"intervals":[{"from_index":126,"to_index":384,"sum":97666,"residue":268},{"from_index":384,"to_index":642,"sum":97723,"residue":325},{"from_index":642,"to_index":900,"sum":105958,"residue":57},{"from_index":900,"to_index":1158,"sum":100995,"residue":505},{"from_index":1158,"to_index":1416,"sum":100165,"residue":448},{"from_index":1416,"to_index":126,"sum":91930,"residue":716}],"minimal_cycle":[268,325,57,505,448,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[126,384],"circle_positions":773,"cycle_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":[127,385,643,901,1159,1417],"clock_positions":[127,385,643,901,1159,1417],"native_values":[309,317,8,464,456,765],"rotation_degrees":29.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,317,8,464,456,765],"beta":{"interval_sums":[97496,97805,106210,101165,100083,91678],"interval_residues":[98,407,309,675,366,464],"display_cycle":[98,407,309,675,366,464],"intervals":[{"from_index":127,"to_index":385,"sum":97496,"residue":98},{"from_index":385,"to_index":643,"sum":97805,"residue":407},{"from_index":643,"to_index":901,"sum":106210,"residue":309},{"from_index":901,"to_index":1159,"sum":101165,"residue":675},{"from_index":1159,"to_index":1417,"sum":100083,"residue":366},{"from_index":1417,"to_index":127,"sum":91678,"residue":464}],"minimal_cycle":[98,407,309,675,366,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[127,385],"circle_positions":773,"cycle_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":[128,386,644,902,1160,1418],"clock_positions":[128,386,644,902,1160,1418],"native_values":[49,456,407,724,317,366],"rotation_degrees":29.767441860465116,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,456,407,724,317,366],"beta":{"interval_sums":[97764,97357,106267,100897,100531,91621],"interval_residues":[366,732,366,407,41,407],"display_cycle":[366,732,366,407,41,407],"intervals":[{"from_index":128,"to_index":386,"sum":97764,"residue":366},{"from_index":386,"to_index":644,"sum":97357,"residue":732},{"from_index":644,"to_index":902,"sum":106267,"residue":366},{"from_index":902,"to_index":1160,"sum":100897,"residue":407},{"from_index":1160,"to_index":1418,"sum":100531,"residue":41},{"from_index":1418,"to_index":128,"sum":91621,"residue":407}],"minimal_cycle":[366,732,366,407,41,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[128,386],"circle_positions":773,"cycle_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":[129,387,645,903,1161,1419],"clock_positions":[129,387,645,903,1161,1419],"native_values":[358,773,415,415,773,358],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,773,415,415,773,358],"beta":{"interval_sums":[97862,97764,106576,100799,100897,91312],"interval_residues":[464,366,675,309,407,98],"display_cycle":[464,366,675,309,407,98],"intervals":[{"from_index":129,"to_index":387,"sum":97862,"residue":464},{"from_index":387,"to_index":645,"sum":97764,"residue":366},{"from_index":645,"to_index":903,"sum":106576,"residue":675},{"from_index":903,"to_index":1161,"sum":100799,"residue":309},{"from_index":1161,"to_index":1419,"sum":100897,"residue":407},{"from_index":1419,"to_index":129,"sum":91312,"residue":98}],"minimal_cycle":[464,366,675,309,407,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[129,387],"circle_positions":773,"cycle_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":[130,388,646,904,1162,1420],"clock_positions":[130,388,646,904,1162,1420],"native_values":[407,456,49,366,317,724],"rotation_degrees":30.232558139534884,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,456,49,366,317,724],"beta":{"interval_sums":[97455,97723,106942,100433,100938,90946],"interval_residues":[57,325,268,716,448,505],"display_cycle":[57,325,268,716,448,505],"intervals":[{"from_index":130,"to_index":388,"sum":97455,"residue":57},{"from_index":388,"to_index":646,"sum":97723,"residue":325},{"from_index":646,"to_index":904,"sum":106942,"residue":268},{"from_index":904,"to_index":1162,"sum":100433,"residue":716},{"from_index":1162,"to_index":1420,"sum":100938,"residue":448},{"from_index":1420,"to_index":130,"sum":90946,"residue":505}],"minimal_cycle":[57,325,268,716,448,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[130,388],"circle_positions":773,"cycle_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":[131,389,647,905,1163,1421],"clock_positions":[131,389,647,905,1163,1421],"native_values":[765,456,464,8,317,309],"rotation_degrees":30.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,456,464,8,317,309],"beta":{"interval_sums":[97146,97316,106844,100742,101345,91044],"interval_residues":[521,691,170,252,82,603],"display_cycle":[521,691,170,252,82,603],"intervals":[{"from_index":131,"to_index":389,"sum":97146,"residue":521},{"from_index":389,"to_index":647,"sum":97316,"residue":691},{"from_index":647,"to_index":905,"sum":106844,"residue":170},{"from_index":905,"to_index":1163,"sum":100742,"residue":252},{"from_index":1163,"to_index":1421,"sum":101345,"residue":82},{"from_index":1421,"to_index":131,"sum":91044,"residue":603}],"minimal_cycle":[521,691,170,252,82,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":521,"start_interval_clock_positions":[131,389],"circle_positions":773,"cycle_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":[132,390,648,906,1164,1422],"clock_positions":[132,390,648,906,1164,1422],"native_values":[399,139,513,374,634,260],"rotation_degrees":30.697674418604652,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,139,513,374,634,260],"beta":{"interval_sums":[97203,97641,106339,100685,101020,91549],"interval_residues":[578,243,438,195,530,335],"display_cycle":[578,243,438,195,530,335],"intervals":[{"from_index":132,"to_index":390,"sum":97203,"residue":578},{"from_index":390,"to_index":648,"sum":97641,"residue":243},{"from_index":648,"to_index":906,"sum":106339,"residue":438},{"from_index":906,"to_index":1164,"sum":100685,"residue":195},{"from_index":1164,"to_index":1422,"sum":101020,"residue":530},{"from_index":1422,"to_index":132,"sum":91549,"residue":335}],"minimal_cycle":[578,243,438,195,530,335],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[132,390],"circle_positions":773,"cycle_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":[133,391,649,907,1165,1423],"clock_positions":[133,391,649,907,1165,1423],"native_values":[391,595,204,382,178,569],"rotation_degrees":30.930232558139537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,595,204,382,178,569],"beta":{"interval_sums":[96951,97559,106509,100937,101102,91379],"interval_residues":[326,161,608,447,612,165],"display_cycle":[326,161,608,447,612,165],"intervals":[{"from_index":133,"to_index":391,"sum":96951,"residue":326},{"from_index":391,"to_index":649,"sum":97559,"residue":161},{"from_index":649,"to_index":907,"sum":106509,"residue":608},{"from_index":907,"to_index":1165,"sum":100937,"residue":447},{"from_index":1165,"to_index":1423,"sum":101102,"residue":612},{"from_index":1423,"to_index":133,"sum":91379,"residue":165}],"minimal_cycle":[326,161,608,447,612,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[133,391],"circle_positions":773,"cycle_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":[134,392,650,908,1166,1424],"clock_positions":[134,392,650,908,1166,1424],"native_values":[17,734,717,756,39,56],"rotation_degrees":31.162790697674417,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,734,717,756,39,56],"beta":{"interval_sums":[97529,97029,106174,100359,101632,91714],"interval_residues":[131,404,273,642,369,500],"display_cycle":[131,404,273,642,369,500],"intervals":[{"from_index":134,"to_index":392,"sum":97529,"residue":131},{"from_index":392,"to_index":650,"sum":97029,"residue":404},{"from_index":650,"to_index":908,"sum":106174,"residue":273},{"from_index":908,"to_index":1166,"sum":100359,"residue":642},{"from_index":1166,"to_index":1424,"sum":101632,"residue":369},{"from_index":1424,"to_index":134,"sum":91714,"residue":500}],"minimal_cycle":[131,404,273,642,369,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[134,392],"circle_positions":773,"cycle_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":[135,393,651,909,1167,1425],"clock_positions":[135,393,651,909,1167,1425],"native_values":[408,556,148,365,217,625],"rotation_degrees":31.3953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,556,148,365,217,625],"beta":{"interval_sums":[97855,97190,106782,100033,101471,91106],"interval_residues":[457,565,108,316,208,665],"display_cycle":[457,565,108,316,208,665],"intervals":[{"from_index":135,"to_index":393,"sum":97855,"residue":457},{"from_index":393,"to_index":651,"sum":97190,"residue":565},{"from_index":651,"to_index":909,"sum":106782,"residue":108},{"from_index":909,"to_index":1167,"sum":100033,"residue":316},{"from_index":1167,"to_index":1425,"sum":101471,"residue":208},{"from_index":1425,"to_index":135,"sum":91106,"residue":665}],"minimal_cycle":[457,565,108,316,208,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[135,393],"circle_positions":773,"cycle_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":[136,394,652,910,1168,1426],"clock_positions":[136,394,652,910,1168,1426],"native_values":[425,517,92,348,256,681],"rotation_degrees":31.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,517,92,348,256,681],"beta":{"interval_sums":[97986,96821,107055,99902,101840,90833],"interval_residues":[588,196,381,185,577,392],"display_cycle":[588,196,381,185,577,392],"intervals":[{"from_index":136,"to_index":394,"sum":97986,"residue":588},{"from_index":394,"to_index":652,"sum":96821,"residue":196},{"from_index":652,"to_index":910,"sum":107055,"residue":381},{"from_index":910,"to_index":1168,"sum":99902,"residue":185},{"from_index":1168,"to_index":1426,"sum":101840,"residue":577},{"from_index":1426,"to_index":136,"sum":90833,"residue":392}],"minimal_cycle":[588,196,381,185,577,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[136,394],"circle_positions":773,"cycle_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":[137,395,653,911,1169,1427],"clock_positions":[137,395,653,911,1169,1427],"native_values":[60,300,240,713,473,533],"rotation_degrees":31.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,300,240,713,473,533],"beta":{"interval_sums":[98443,96613,107163,99445,102048,90725],"interval_residues":[272,761,489,501,12,284],"display_cycle":[272,761,489,501,12,284],"intervals":[{"from_index":137,"to_index":395,"sum":98443,"residue":272},{"from_index":395,"to_index":653,"sum":96613,"residue":761},{"from_index":653,"to_index":911,"sum":107163,"residue":489},{"from_index":911,"to_index":1169,"sum":99445,"residue":501},{"from_index":1169,"to_index":1427,"sum":102048,"residue":12},{"from_index":1427,"to_index":137,"sum":90725,"residue":284}],"minimal_cycle":[272,761,489,501,12,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[137,395],"circle_positions":773,"cycle_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":[138,396,654,912,1170,1428],"clock_positions":[138,396,654,912,1170,1428],"native_values":[485,44,332,288,729,441],"rotation_degrees":32.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,44,332,288,729,441],"beta":{"interval_sums":[98258,96809,107544,99630,101852,90344],"interval_residues":[87,184,97,686,589,676],"display_cycle":[87,184,97,686,589,676],"intervals":[{"from_index":138,"to_index":396,"sum":98258,"residue":87},{"from_index":396,"to_index":654,"sum":96809,"residue":184},{"from_index":654,"to_index":912,"sum":107544,"residue":97},{"from_index":912,"to_index":1170,"sum":99630,"residue":686},{"from_index":1170,"to_index":1428,"sum":101852,"residue":589},{"from_index":1428,"to_index":138,"sum":90344,"residue":676}],"minimal_cycle":[87,184,97,686,589,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[138,396],"circle_positions":773,"cycle_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":[139,397,655,913,1171,1429],"clock_positions":[139,397,655,913,1171,1429],"native_values":[545,344,572,228,429,201],"rotation_degrees":32.325581395348834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,344,572,228,429,201],"beta":{"interval_sums":[97757,96797,107260,100131,101864,90628],"interval_residues":[359,172,586,414,601,187],"display_cycle":[359,172,586,414,601,187],"intervals":[{"from_index":139,"to_index":397,"sum":97757,"residue":359},{"from_index":397,"to_index":655,"sum":96797,"residue":172},{"from_index":655,"to_index":913,"sum":107260,"residue":586},{"from_index":913,"to_index":1171,"sum":100131,"residue":414},{"from_index":1171,"to_index":1429,"sum":101864,"residue":601},{"from_index":1429,"to_index":139,"sum":90628,"residue":187}],"minimal_cycle":[359,172,586,414,601,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":359,"start_interval_clock_positions":[139,397],"circle_positions":773,"cycle_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":[140,398,656,914,1172,1430],"clock_positions":[140,398,656,914,1172,1430],"native_values":[257,388,131,516,385,642],"rotation_degrees":32.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,388,131,516,385,642],"beta":{"interval_sums":[97844,96981,107357,100044,101680,90531],"interval_residues":[446,356,683,327,417,90],"display_cycle":[446,356,683,327,417,90],"intervals":[{"from_index":140,"to_index":398,"sum":97844,"residue":446},{"from_index":398,"to_index":656,"sum":96981,"residue":356},{"from_index":656,"to_index":914,"sum":107357,"residue":683},{"from_index":914,"to_index":1172,"sum":100044,"residue":327},{"from_index":1172,"to_index":1430,"sum":101680,"residue":417},{"from_index":1430,"to_index":140,"sum":90531,"residue":90}],"minimal_cycle":[446,356,683,327,417,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[140,398],"circle_positions":773,"cycle_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":[141,399,657,915,1173,1431],"clock_positions":[141,399,657,915,1173,1431],"native_values":[29,732,703,744,41,70],"rotation_degrees":32.7906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,732,703,744,41,70],"beta":{"interval_sums":[98203,96380,107170,99685,102281,90718],"interval_residues":[32,528,496,741,245,277],"display_cycle":[32,528,496,741,245,277],"intervals":[{"from_index":141,"to_index":399,"sum":98203,"residue":32},{"from_index":399,"to_index":657,"sum":96380,"residue":528},{"from_index":657,"to_index":915,"sum":107170,"residue":496},{"from_index":915,"to_index":1173,"sum":99685,"residue":741},{"from_index":1173,"to_index":1431,"sum":102281,"residue":245},{"from_index":1431,"to_index":141,"sum":90718,"residue":277}],"minimal_cycle":[32,528,496,741,245,277],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[141,399],"circle_positions":773,"cycle_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":[142,400,658,916,1174,1432],"clock_positions":[142,400,658,916,1174,1432],"native_values":[286,347,61,487,426,712],"rotation_degrees":33.02325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,347,61,487,426,712],"beta":{"interval_sums":[98649,96736,107853,99239,101925,90035],"interval_residues":[478,111,406,295,662,367],"display_cycle":[478,111,406,295,662,367],"intervals":[{"from_index":142,"to_index":400,"sum":98649,"residue":478},{"from_index":400,"to_index":658,"sum":96736,"residue":111},{"from_index":658,"to_index":916,"sum":107853,"residue":406},{"from_index":916,"to_index":1174,"sum":99239,"residue":295},{"from_index":1174,"to_index":1432,"sum":101925,"residue":662},{"from_index":1432,"to_index":142,"sum":90035,"residue":367}],"minimal_cycle":[478,111,406,295,662,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[142,400],"circle_positions":773,"cycle_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":[143,401,659,917,1175,1433],"clock_positions":[143,401,659,917,1175,1433],"native_values":[315,306,764,458,467,9],"rotation_degrees":33.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,306,764,458,467,9],"beta":{"interval_sums":[98681,96491,107576,99207,102170,90312],"interval_residues":[510,639,129,263,134,644],"display_cycle":[510,639,129,263,134,644],"intervals":[{"from_index":143,"to_index":401,"sum":98681,"residue":510},{"from_index":401,"to_index":659,"sum":96491,"residue":639},{"from_index":659,"to_index":917,"sum":107576,"residue":129},{"from_index":917,"to_index":1175,"sum":99207,"residue":263},{"from_index":1175,"to_index":1433,"sum":102170,"residue":134},{"from_index":1433,"to_index":143,"sum":90312,"residue":644}],"minimal_cycle":[510,639,129,263,134,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[143,401],"circle_positions":773,"cycle_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":[144,402,660,918,1176,1434],"clock_positions":[144,402,660,918,1176,1434],"native_values":[601,653,52,172,120,721],"rotation_degrees":33.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,653,52,172,120,721],"beta":{"interval_sums":[98386,96602,107982,99502,102059,89906],"interval_residues":[215,750,535,558,23,238],"display_cycle":[215,750,535,558,23,238],"intervals":[{"from_index":144,"to_index":402,"sum":98386,"residue":215},{"from_index":402,"to_index":660,"sum":96602,"residue":750},{"from_index":660,"to_index":918,"sum":107982,"residue":535},{"from_index":918,"to_index":1176,"sum":99502,"residue":558},{"from_index":1176,"to_index":1434,"sum":102059,"residue":23},{"from_index":1434,"to_index":144,"sum":89906,"residue":238}],"minimal_cycle":[215,750,535,558,23,238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":215,"start_interval_clock_positions":[144,402],"circle_positions":773,"cycle_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":[145,403,661,919,1177,1435],"clock_positions":[145,403,661,919,1177,1435],"native_values":[143,186,43,630,587,730],"rotation_degrees":33.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,186,43,630,587,730],"beta":{"interval_sums":[98896,96468,108111,98992,102193,89777],"interval_residues":[725,616,664,48,157,109],"display_cycle":[725,616,664,48,157,109],"intervals":[{"from_index":145,"to_index":403,"sum":98896,"residue":725},{"from_index":403,"to_index":661,"sum":96468,"residue":616},{"from_index":661,"to_index":919,"sum":108111,"residue":664},{"from_index":919,"to_index":1177,"sum":98992,"residue":48},{"from_index":1177,"to_index":1435,"sum":102193,"residue":157},{"from_index":1435,"to_index":145,"sum":89777,"residue":109}],"minimal_cycle":[725,616,664,48,157,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":725,"start_interval_clock_positions":[145,403],"circle_positions":773,"cycle_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":[146,404,662,920,1178,1436],"clock_positions":[146,404,662,920,1178,1436],"native_values":[744,66,95,29,707,678],"rotation_degrees":33.95348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,66,95,29,707,678],"beta":{"interval_sums":[98338,96445,108646,99550,102216,89242],"interval_residues":[167,593,426,606,180,347],"display_cycle":[167,593,426,606,180,347],"intervals":[{"from_index":146,"to_index":404,"sum":98338,"residue":167},{"from_index":404,"to_index":662,"sum":96445,"residue":593},{"from_index":662,"to_index":920,"sum":108646,"residue":426},{"from_index":920,"to_index":1178,"sum":99550,"residue":606},{"from_index":1178,"to_index":1436,"sum":102216,"residue":180},{"from_index":1436,"to_index":146,"sum":89242,"residue":347}],"minimal_cycle":[167,593,426,606,180,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[146,404],"circle_positions":773,"cycle_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":[147,405,663,921,1179,1437],"clock_positions":[147,405,663,921,1179,1437],"native_values":[114,252,138,659,521,635],"rotation_degrees":34.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,252,138,659,521,635],"beta":{"interval_sums":[98290,96288,108537,99598,102373,89351],"interval_residues":[119,436,317,654,337,456],"display_cycle":[119,436,317,654,337,456],"intervals":[{"from_index":147,"to_index":405,"sum":98290,"residue":119},{"from_index":405,"to_index":663,"sum":96288,"residue":436},{"from_index":663,"to_index":921,"sum":108537,"residue":317},{"from_index":921,"to_index":1179,"sum":99598,"residue":654},{"from_index":1179,"to_index":1437,"sum":102373,"residue":337},{"from_index":1437,"to_index":147,"sum":89351,"residue":456}],"minimal_cycle":[119,436,317,654,337,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[147,405],"circle_positions":773,"cycle_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":[148,406,664,922,1180,1438],"clock_positions":[148,406,664,922,1180,1438],"native_values":[85,318,233,688,455,540],"rotation_degrees":34.41860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,318,233,688,455,540],"beta":{"interval_sums":[98457,96108,108963,99431,102553,88925],"interval_residues":[286,256,743,487,517,30],"display_cycle":[286,256,743,487,517,30],"intervals":[{"from_index":148,"to_index":406,"sum":98457,"residue":286},{"from_index":406,"to_index":664,"sum":96108,"residue":256},{"from_index":664,"to_index":922,"sum":108963,"residue":743},{"from_index":922,"to_index":1180,"sum":99431,"residue":487},{"from_index":1180,"to_index":1438,"sum":102553,"residue":517},{"from_index":1438,"to_index":148,"sum":88925,"residue":30}],"minimal_cycle":[286,256,743,487,517,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[148,406],"circle_positions":773,"cycle_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":[149,407,665,923,1181,1439],"clock_positions":[149,407,665,923,1181,1439],"native_values":[199,570,371,574,203,402],"rotation_degrees":34.651162790697676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,570,371,574,203,402],"beta":{"interval_sums":[98576,95771,109280,99312,102890,88608],"interval_residues":[405,692,287,368,81,486],"display_cycle":[405,692,287,368,81,486],"intervals":[{"from_index":149,"to_index":407,"sum":98576,"residue":405},{"from_index":407,"to_index":665,"sum":95771,"residue":692},{"from_index":665,"to_index":923,"sum":109280,"residue":287},{"from_index":923,"to_index":1181,"sum":99312,"residue":368},{"from_index":1181,"to_index":1439,"sum":102890,"residue":81},{"from_index":1439,"to_index":149,"sum":88608,"residue":486}],"minimal_cycle":[405,692,287,368,81,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[149,407],"circle_positions":773,"cycle_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":[150,408,666,924,1182,1440],"clock_positions":[150,408,666,924,1182,1440],"native_values":[284,115,604,489,658,169],"rotation_degrees":34.883720930232556,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,115,604,489,658,169],"beta":{"interval_sums":[98862,96027,109250,99026,102634,88638],"interval_residues":[691,175,257,82,598,516],"display_cycle":[691,175,257,82,598,516],"intervals":[{"from_index":150,"to_index":408,"sum":98862,"residue":691},{"from_index":408,"to_index":666,"sum":96027,"residue":175},{"from_index":666,"to_index":924,"sum":109250,"residue":257},{"from_index":924,"to_index":1182,"sum":99026,"residue":82},{"from_index":1182,"to_index":1440,"sum":102634,"residue":598},{"from_index":1440,"to_index":150,"sum":88638,"residue":516}],"minimal_cycle":[691,175,257,82,598,516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":691,"start_interval_clock_positions":[150,408],"circle_positions":773,"cycle_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":[151,409,667,925,1183,1441],"clock_positions":[151,409,667,925,1183,1441],"native_values":[483,685,202,290,88,571],"rotation_degrees":35.116279069767444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,685,202,290,88,571],"beta":{"interval_sums":[98494,95946,109537,99394,102715,88351],"interval_residues":[323,94,544,450,679,229],"display_cycle":[323,94,544,450,679,229],"intervals":[{"from_index":151,"to_index":409,"sum":98494,"residue":323},{"from_index":409,"to_index":667,"sum":95946,"residue":94},{"from_index":667,"to_index":925,"sum":109537,"residue":544},{"from_index":925,"to_index":1183,"sum":99394,"residue":450},{"from_index":1183,"to_index":1441,"sum":102715,"residue":679},{"from_index":1441,"to_index":151,"sum":88351,"residue":229}],"minimal_cycle":[323,94,544,450,679,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[151,409],"circle_positions":773,"cycle_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":[152,410,668,926,1184,1442],"clock_positions":[152,410,668,926,1184,1442],"native_values":[767,27,33,6,746,740],"rotation_degrees":35.348837209302324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,27,33,6,746,740],"beta":{"interval_sums":[98412,96121,109794,99476,102540,88094],"interval_residues":[241,269,28,532,504,745],"display_cycle":[241,269,28,532,504,745],"intervals":[{"from_index":152,"to_index":410,"sum":98412,"residue":241},{"from_index":410,"to_index":668,"sum":96121,"residue":269},{"from_index":668,"to_index":926,"sum":109794,"residue":28},{"from_index":926,"to_index":1184,"sum":99476,"residue":532},{"from_index":1184,"to_index":1442,"sum":102540,"residue":504},{"from_index":1442,"to_index":152,"sum":88094,"residue":745}],"minimal_cycle":[241,269,28,532,504,745],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[152,410],"circle_positions":773,"cycle_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":[153,411,669,927,1185,1443],"clock_positions":[153,411,669,927,1185,1443],"native_values":[477,712,235,296,61,538],"rotation_degrees":35.58139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,712,235,296,61,538],"beta":{"interval_sums":[97962,95442,109565,99926,103219,88323],"interval_residues":[564,363,572,209,410,201],"display_cycle":[564,363,572,209,410,201],"intervals":[{"from_index":153,"to_index":411,"sum":97962,"residue":564},{"from_index":411,"to_index":669,"sum":95442,"residue":363},{"from_index":669,"to_index":927,"sum":109565,"residue":572},{"from_index":927,"to_index":1185,"sum":99926,"residue":209},{"from_index":1185,"to_index":1443,"sum":103219,"residue":410},{"from_index":1443,"to_index":153,"sum":88323,"residue":201}],"minimal_cycle":[564,363,572,209,410,201],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[153,411],"circle_positions":773,"cycle_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":[154,412,670,928,1186,1444],"clock_positions":[154,412,670,928,1186,1444],"native_values":[471,739,268,302,34,505],"rotation_degrees":35.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,739,268,302,34,505],"beta":{"interval_sums":[98203,94938,109593,99685,103723,88295],"interval_residues":[32,632,600,741,141,173],"display_cycle":[32,632,600,741,141,173],"intervals":[{"from_index":154,"to_index":412,"sum":98203,"residue":32},{"from_index":412,"to_index":670,"sum":94938,"residue":632},{"from_index":670,"to_index":928,"sum":109593,"residue":600},{"from_index":928,"to_index":1186,"sum":99685,"residue":741},{"from_index":1186,"to_index":1444,"sum":103723,"residue":141},{"from_index":1444,"to_index":154,"sum":88295,"residue":173}],"minimal_cycle":[32,632,600,741,141,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[154,412],"circle_positions":773,"cycle_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":[155,413,671,929,1187,1445],"clock_positions":[155,413,671,929,1187,1445],"native_values":[175,678,503,598,95,270],"rotation_degrees":36.04651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,678,503,598,95,270],"beta":{"interval_sums":[98767,94528,109392,99121,104133,88496],"interval_residues":[596,222,399,177,551,374],"display_cycle":[596,222,399,177,551,374],"intervals":[{"from_index":155,"to_index":413,"sum":98767,"residue":596},{"from_index":413,"to_index":671,"sum":94528,"residue":222},{"from_index":671,"to_index":929,"sum":109392,"residue":399},{"from_index":929,"to_index":1187,"sum":99121,"residue":177},{"from_index":1187,"to_index":1445,"sum":104133,"residue":551},{"from_index":1445,"to_index":155,"sum":88496,"residue":374}],"minimal_cycle":[596,222,399,177,551,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[155,413],"circle_positions":773,"cycle_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":[156,414,672,930,1188,1446],"clock_positions":[156,414,672,930,1188,1446],"native_values":[646,644,771,127,129,2],"rotation_degrees":36.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,644,771,127,129,2],"beta":{"interval_sums":[98799,94387,109219,99089,104274,88669],"interval_residues":[628,81,226,145,692,547],"display_cycle":[628,81,226,145,692,547],"intervals":[{"from_index":156,"to_index":414,"sum":98799,"residue":628},{"from_index":414,"to_index":672,"sum":94387,"residue":81},{"from_index":672,"to_index":930,"sum":109219,"residue":226},{"from_index":930,"to_index":1188,"sum":99089,"residue":145},{"from_index":1188,"to_index":1446,"sum":104274,"residue":692},{"from_index":1446,"to_index":156,"sum":88669,"residue":547}],"minimal_cycle":[628,81,226,145,692,547],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[156,414],"circle_positions":773,"cycle_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":[157,415,673,931,1189,1447],"clock_positions":[157,415,673,931,1189,1447],"native_values":[48,549,501,725,224,272],"rotation_degrees":36.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,549,501,725,224,272],"beta":{"interval_sums":[99395,94609,108845,98493,104052,89043],"interval_residues":[451,303,625,322,470,148],"display_cycle":[451,303,625,322,470,148],"intervals":[{"from_index":157,"to_index":415,"sum":99395,"residue":451},{"from_index":415,"to_index":673,"sum":94609,"residue":303},{"from_index":673,"to_index":931,"sum":108845,"residue":625},{"from_index":931,"to_index":1189,"sum":98493,"residue":322},{"from_index":1189,"to_index":1447,"sum":104052,"residue":470},{"from_index":1447,"to_index":157,"sum":89043,"residue":148}],"minimal_cycle":[451,303,625,322,470,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[157,415],"circle_positions":773,"cycle_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":[158,416,674,932,1190,1448],"clock_positions":[158,416,674,932,1190,1448],"native_values":[694,420,499,79,353,274],"rotation_degrees":36.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,420,499,79,353,274],"beta":{"interval_sums":[99250,94690,109071,98638,103971,88817],"interval_residues":[306,384,78,467,389,695],"display_cycle":[306,384,78,467,389,695],"intervals":[{"from_index":158,"to_index":416,"sum":99250,"residue":306},{"from_index":416,"to_index":674,"sum":94690,"residue":384},{"from_index":674,"to_index":932,"sum":109071,"residue":78},{"from_index":932,"to_index":1190,"sum":98638,"residue":467},{"from_index":1190,"to_index":1448,"sum":103971,"residue":389},{"from_index":1448,"to_index":158,"sum":88817,"residue":695}],"minimal_cycle":[306,384,78,467,389,695],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[158,416],"circle_positions":773,"cycle_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":[159,417,675,933,1191,1449],"clock_positions":[159,417,675,933,1191,1449],"native_values":[742,196,227,31,577,546],"rotation_degrees":36.97674418604651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[742,196,227,31,577,546],"beta":{"interval_sums":[98928,94993,108923,98960,103668,88965],"interval_residues":[757,687,703,16,86,70],"display_cycle":[757,687,703,16,86,70],"intervals":[{"from_index":159,"to_index":417,"sum":98928,"residue":757},{"from_index":417,"to_index":675,"sum":94993,"residue":687},{"from_index":675,"to_index":933,"sum":108923,"residue":703},{"from_index":933,"to_index":1191,"sum":98960,"residue":16},{"from_index":1191,"to_index":1449,"sum":103668,"residue":86},{"from_index":1449,"to_index":159,"sum":88965,"residue":70}],"minimal_cycle":[757,687,703,16,86,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":757,"start_interval_clock_positions":[159,417],"circle_positions":773,"cycle_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":[160,418,676,934,1192,1450],"clock_positions":[160,418,676,934,1192,1450],"native_values":[663,616,726,110,157,47],"rotation_degrees":37.2093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,616,726,110,157,47],"beta":{"interval_sums":[98461,94604,108228,99427,104057,89660],"interval_residues":[290,298,8,483,475,765],"display_cycle":[290,298,8,483,475,765],"intervals":[{"from_index":160,"to_index":418,"sum":98461,"residue":290},{"from_index":418,"to_index":676,"sum":94604,"residue":298},{"from_index":676,"to_index":934,"sum":108228,"residue":8},{"from_index":934,"to_index":1192,"sum":99427,"residue":483},{"from_index":1192,"to_index":1450,"sum":104057,"residue":475},{"from_index":1450,"to_index":160,"sum":89660,"residue":765}],"minimal_cycle":[290,298,8,483,475,765],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[160,418],"circle_positions":773,"cycle_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":[161,419,677,935,1193,1451],"clock_positions":[161,419,677,935,1193,1451],"native_values":[632,39,180,141,734,593],"rotation_degrees":37.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,39,180,141,734,593],"beta":{"interval_sums":[98445,95291,108158,99443,103370,89730],"interval_residues":[274,212,711,499,561,62],"display_cycle":[274,212,711,499,561,62],"intervals":[{"from_index":161,"to_index":419,"sum":98445,"residue":274},{"from_index":419,"to_index":677,"sum":95291,"residue":212},{"from_index":677,"to_index":935,"sum":108158,"residue":711},{"from_index":935,"to_index":1193,"sum":99443,"residue":499},{"from_index":1193,"to_index":1451,"sum":103370,"residue":561},{"from_index":1451,"to_index":161,"sum":89730,"residue":62}],"minimal_cycle":[274,212,711,499,561,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[161,419],"circle_positions":773,"cycle_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":[162,420,678,936,1194,1452],"clock_positions":[162,420,678,936,1194,1452],"native_values":[522,655,133,251,118,640],"rotation_degrees":37.674418604651166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[522,655,133,251,118,640],"beta":{"interval_sums":[97962,94816,108166,99926,103845,89722],"interval_residues":[564,510,719,209,263,54],"display_cycle":[564,510,719,209,263,54],"intervals":[{"from_index":162,"to_index":420,"sum":97962,"residue":564},{"from_index":420,"to_index":678,"sum":94816,"residue":510},{"from_index":678,"to_index":936,"sum":108166,"residue":719},{"from_index":936,"to_index":1194,"sum":99926,"residue":209},{"from_index":1194,"to_index":1452,"sum":103845,"residue":263},{"from_index":1452,"to_index":162,"sum":89722,"residue":54}],"minimal_cycle":[564,510,719,209,263,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[162,420],"circle_positions":773,"cycle_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":[163,421,679,937,1195,1453],"clock_positions":[163,421,679,937,1195,1453],"native_values":[381,694,313,392,79,460],"rotation_degrees":37.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,694,313,392,79,460],"beta":{"interval_sums":[98236,94255,108104,99652,104406,89784],"interval_residues":[65,722,657,708,51,116],"display_cycle":[65,722,657,708,51,116],"intervals":[{"from_index":163,"to_index":421,"sum":98236,"residue":65},{"from_index":421,"to_index":679,"sum":94255,"residue":722},{"from_index":679,"to_index":937,"sum":108104,"residue":657},{"from_index":937,"to_index":1195,"sum":99652,"residue":708},{"from_index":1195,"to_index":1453,"sum":104406,"residue":51},{"from_index":1453,"to_index":163,"sum":89784,"residue":116}],"minimal_cycle":[65,722,657,708,51,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[163,421],"circle_positions":773,"cycle_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":[164,422,680,938,1196,1454],"clock_positions":[164,422,680,938,1196,1454],"native_values":[130,576,446,643,197,327],"rotation_degrees":38.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,576,446,643,197,327],"beta":{"interval_sums":[98800,93992,108050,99088,104669,89838],"interval_residues":[629,459,603,144,314,170],"display_cycle":[629,459,603,144,314,170],"intervals":[{"from_index":164,"to_index":422,"sum":98800,"residue":629},{"from_index":422,"to_index":680,"sum":93992,"residue":459},{"from_index":680,"to_index":938,"sum":108050,"residue":603},{"from_index":938,"to_index":1196,"sum":99088,"residue":144},{"from_index":1196,"to_index":1454,"sum":104669,"residue":314},{"from_index":1454,"to_index":164,"sum":89838,"residue":170}],"minimal_cycle":[629,459,603,144,314,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[164,422],"circle_positions":773,"cycle_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":[165,423,681,939,1197,1455],"clock_positions":[165,423,681,939,1197,1455],"native_values":[511,497,759,262,276,14],"rotation_degrees":38.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,497,759,262,276,14],"beta":{"interval_sums":[98865,93941,107934,99023,104720,89954],"interval_residues":[694,408,487,79,365,286],"display_cycle":[694,408,487,79,365,286],"intervals":[{"from_index":165,"to_index":423,"sum":98865,"residue":694},{"from_index":423,"to_index":681,"sum":93941,"residue":408},{"from_index":681,"to_index":939,"sum":107934,"residue":487},{"from_index":939,"to_index":1197,"sum":99023,"residue":79},{"from_index":1197,"to_index":1455,"sum":104720,"residue":365},{"from_index":1455,"to_index":165,"sum":89954,"residue":286}],"minimal_cycle":[694,408,487,79,365,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[165,423],"circle_positions":773,"cycle_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":[166,424,682,940,1198,1456],"clock_positions":[166,424,682,940,1198,1456],"native_values":[641,300,432,132,473,341],"rotation_degrees":38.604651162790695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,300,432,132,473,341],"beta":{"interval_sums":[98721,94400,107764,99167,104261,90124],"interval_residues":[550,94,317,223,679,456],"display_cycle":[550,94,317,223,679,456],"intervals":[{"from_index":166,"to_index":424,"sum":98721,"residue":550},{"from_index":424,"to_index":682,"sum":94400,"residue":94},{"from_index":682,"to_index":940,"sum":107764,"residue":317},{"from_index":940,"to_index":1198,"sum":99167,"residue":223},{"from_index":1198,"to_index":1456,"sum":104261,"residue":679},{"from_index":1456,"to_index":166,"sum":90124,"residue":456}],"minimal_cycle":[550,94,317,223,679,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[166,424],"circle_positions":773,"cycle_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":[167,425,683,941,1199,1457],"clock_positions":[167,425,683,941,1199,1457],"native_values":[379,24,418,394,749,355],"rotation_degrees":38.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,24,418,394,749,355],"beta":{"interval_sums":[98642,94808,107478,99246,103853,90410],"interval_residues":[471,502,31,302,271,742],"display_cycle":[471,502,31,302,271,742],"intervals":[{"from_index":167,"to_index":425,"sum":98642,"residue":471},{"from_index":425,"to_index":683,"sum":94808,"residue":502},{"from_index":683,"to_index":941,"sum":107478,"residue":31},{"from_index":941,"to_index":1199,"sum":99246,"residue":302},{"from_index":1199,"to_index":1457,"sum":103853,"residue":271},{"from_index":1457,"to_index":167,"sum":90410,"residue":742}],"minimal_cycle":[471,502,31,302,271,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[167,425],"circle_positions":773,"cycle_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":[168,426,684,942,1200,1458],"clock_positions":[168,426,684,942,1200,1458],"native_values":[247,324,77,526,449,696],"rotation_degrees":39.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,324,77,526,449,696],"beta":{"interval_sums":[98419,94902,107795,99469,103759,90093],"interval_residues":[248,596,348,525,177,425],"display_cycle":[248,596,348,525,177,425],"intervals":[{"from_index":168,"to_index":426,"sum":98419,"residue":248},{"from_index":426,"to_index":684,"sum":94902,"residue":596},{"from_index":684,"to_index":942,"sum":107795,"residue":348},{"from_index":942,"to_index":1200,"sum":99469,"residue":525},{"from_index":1200,"to_index":1458,"sum":103759,"residue":177},{"from_index":1458,"to_index":168,"sum":90093,"residue":425}],"minimal_cycle":[248,596,348,525,177,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[168,426],"circle_positions":773,"cycle_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":[169,427,685,943,1201,1459],"clock_positions":[169,427,685,943,1201,1459],"native_values":[626,348,495,147,425,278],"rotation_degrees":39.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,348,495,147,425,278],"beta":{"interval_sums":[98117,94631,107826,99771,104030,90062],"interval_residues":[719,325,379,54,448,394],"display_cycle":[719,325,379,54,448,394],"intervals":[{"from_index":169,"to_index":427,"sum":98117,"residue":719},{"from_index":427,"to_index":685,"sum":94631,"residue":325},{"from_index":685,"to_index":943,"sum":107826,"residue":379},{"from_index":943,"to_index":1201,"sum":99771,"residue":54},{"from_index":1201,"to_index":1459,"sum":104030,"residue":448},{"from_index":1459,"to_index":169,"sum":90062,"residue":394}],"minimal_cycle":[719,325,379,54,448,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":719,"start_interval_clock_positions":[169,427],"circle_positions":773,"cycle_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":[170,428,686,944,1202,1460],"clock_positions":[170,428,686,944,1202,1460],"native_values":[100,672,572,673,101,201],"rotation_degrees":39.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[100,672,572,673,101,201],"beta":{"interval_sums":[98365,94454,107401,99523,104207,90487],"interval_residues":[194,148,727,579,625,46],"display_cycle":[194,148,727,579,625,46],"intervals":[{"from_index":170,"to_index":428,"sum":98365,"residue":194},{"from_index":428,"to_index":686,"sum":94454,"residue":148},{"from_index":686,"to_index":944,"sum":107401,"residue":727},{"from_index":944,"to_index":1202,"sum":99523,"residue":579},{"from_index":1202,"to_index":1460,"sum":104207,"residue":625},{"from_index":1460,"to_index":170,"sum":90487,"residue":46}],"minimal_cycle":[194,148,727,579,625,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[170,428],"circle_positions":773,"cycle_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":[171,429,687,945,1203,1461],"clock_positions":[171,429,687,945,1203,1461],"native_values":[726,247,294,47,526,479],"rotation_degrees":39.76744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,247,294,47,526,479],"beta":{"interval_sums":[98311,94779,107780,99577,103882,90108],"interval_residues":[140,473,333,633,300,440],"display_cycle":[140,473,333,633,300,440],"intervals":[{"from_index":171,"to_index":429,"sum":98311,"residue":140},{"from_index":429,"to_index":687,"sum":94779,"residue":473},{"from_index":687,"to_index":945,"sum":107780,"residue":333},{"from_index":945,"to_index":1203,"sum":99577,"residue":633},{"from_index":1203,"to_index":1461,"sum":103882,"residue":300},{"from_index":1461,"to_index":171,"sum":90108,"residue":440}],"minimal_cycle":[140,473,333,633,300,440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[171,429],"circle_positions":773,"cycle_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":[172,430,688,946,1204,1462],"clock_positions":[172,430,688,946,1204,1462],"native_values":[53,146,93,720,627,680],"rotation_degrees":40.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,146,93,720,627,680],"beta":{"interval_sums":[98505,94927,107734,99383,103734,90154],"interval_residues":[334,621,287,439,152,486],"display_cycle":[334,621,287,439,152,486],"intervals":[{"from_index":172,"to_index":430,"sum":98505,"residue":334},{"from_index":430,"to_index":688,"sum":94927,"residue":621},{"from_index":688,"to_index":946,"sum":107734,"residue":287},{"from_index":946,"to_index":1204,"sum":99383,"residue":439},{"from_index":1204,"to_index":1462,"sum":103734,"residue":152},{"from_index":1462,"to_index":172,"sum":90154,"residue":486}],"minimal_cycle":[334,621,287,439,152,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[172,430],"circle_positions":773,"cycle_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":[173,431,689,947,1205,1463],"clock_positions":[173,431,689,947,1205,1463],"native_values":[6,393,387,767,380,386],"rotation_degrees":40.23255813953488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[6,393,387,767,380,386],"beta":{"interval_sums":[98645,94627,108067,99243,104034,89821],"interval_residues":[474,321,620,299,452,153],"display_cycle":[474,321,620,299,452,153],"intervals":[{"from_index":173,"to_index":431,"sum":98645,"residue":474},{"from_index":431,"to_index":689,"sum":94627,"residue":321},{"from_index":689,"to_index":947,"sum":108067,"residue":620},{"from_index":947,"to_index":1205,"sum":99243,"residue":299},{"from_index":1205,"to_index":1463,"sum":104034,"residue":452},{"from_index":1463,"to_index":173,"sum":89821,"residue":153}],"minimal_cycle":[474,321,620,299,452,153],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[173,431],"circle_positions":773,"cycle_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":[174,432,690,948,1206,1464],"clock_positions":[174,432,690,948,1206,1464],"native_values":[59,539,480,714,234,293],"rotation_degrees":40.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,539,480,714,234,293],"beta":{"interval_sums":[98979,94475,108354,98909,104186,89534],"interval_residues":[35,169,134,738,604,639],"display_cycle":[35,169,134,738,604,639],"intervals":[{"from_index":174,"to_index":432,"sum":98979,"residue":35},{"from_index":432,"to_index":690,"sum":94475,"residue":169},{"from_index":690,"to_index":948,"sum":108354,"residue":134},{"from_index":948,"to_index":1206,"sum":98909,"residue":738},{"from_index":1206,"to_index":1464,"sum":104186,"residue":604},{"from_index":1464,"to_index":174,"sum":89534,"residue":639}],"minimal_cycle":[35,169,134,738,604,639],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[174,432],"circle_positions":773,"cycle_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":[175,433,691,949,1207,1465],"clock_positions":[175,433,691,949,1207,1465],"native_values":[65,159,94,708,614,679],"rotation_degrees":40.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,159,94,708,614,679],"beta":{"interval_sums":[99453,94796,108974,98435,103865,88914],"interval_residues":[509,490,754,264,283,19],"display_cycle":[509,490,754,264,283,19],"intervals":[{"from_index":175,"to_index":433,"sum":99453,"residue":509},{"from_index":433,"to_index":691,"sum":94796,"residue":490},{"from_index":691,"to_index":949,"sum":108974,"residue":754},{"from_index":949,"to_index":1207,"sum":98435,"residue":264},{"from_index":1207,"to_index":1465,"sum":103865,"residue":283},{"from_index":1465,"to_index":175,"sum":88914,"residue":19}],"minimal_cycle":[509,490,754,264,283,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[175,433],"circle_positions":773,"cycle_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":[176,434,692,950,1208,1466],"clock_positions":[176,434,692,950,1208,1466],"native_values":[124,698,574,649,75,199],"rotation_degrees":40.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,698,574,649,75,199],"beta":{"interval_sums":[99488,94192,109108,98400,104469,88780],"interval_residues":[544,659,115,229,114,658],"display_cycle":[544,659,115,229,114,658],"intervals":[{"from_index":176,"to_index":434,"sum":99488,"residue":544},{"from_index":434,"to_index":692,"sum":94192,"residue":659},{"from_index":692,"to_index":950,"sum":109108,"residue":115},{"from_index":950,"to_index":1208,"sum":98400,"residue":229},{"from_index":1208,"to_index":1466,"sum":104469,"residue":114},{"from_index":1466,"to_index":176,"sum":88780,"residue":658}],"minimal_cycle":[544,659,115,229,114,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":544,"start_interval_clock_positions":[176,434],"circle_positions":773,"cycle_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":[177,435,693,951,1209,1467],"clock_positions":[177,435,693,951,1209,1467],"native_values":[189,84,668,584,689,105],"rotation_degrees":41.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,84,668,584,689,105],"beta":{"interval_sums":[99997,94682,109089,97891,103979,88799],"interval_residues":[280,376,96,493,397,677],"display_cycle":[280,376,96,493,397,677],"intervals":[{"from_index":177,"to_index":435,"sum":99997,"residue":280},{"from_index":435,"to_index":693,"sum":94682,"residue":376},{"from_index":693,"to_index":951,"sum":109089,"residue":96},{"from_index":951,"to_index":1209,"sum":97891,"residue":493},{"from_index":1209,"to_index":1467,"sum":103979,"residue":397},{"from_index":1467,"to_index":177,"sum":88799,"residue":677}],"minimal_cycle":[280,376,96,493,397,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[177,435],"circle_positions":773,"cycle_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":[178,436,694,952,1210,1468],"clock_positions":[178,436,694,952,1210,1468],"native_values":[313,9,469,460,764,304],"rotation_degrees":41.395348837209305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,9,469,460,764,304],"beta":{"interval_sums":[99768,95341,109204,98120,103320,88684],"interval_residues":[51,262,211,722,511,562],"display_cycle":[51,262,211,722,511,562],"intervals":[{"from_index":178,"to_index":436,"sum":99768,"residue":51},{"from_index":436,"to_index":694,"sum":95341,"residue":262},{"from_index":694,"to_index":952,"sum":109204,"residue":211},{"from_index":952,"to_index":1210,"sum":98120,"residue":722},{"from_index":1210,"to_index":1468,"sum":103320,"residue":511},{"from_index":1468,"to_index":178,"sum":88684,"residue":562}],"minimal_cycle":[51,262,211,722,511,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":51,"start_interval_clock_positions":[178,436],"circle_positions":773,"cycle_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":[179,437,695,953,1211,1469],"clock_positions":[179,437,695,953,1211,1469],"native_values":[502,93,364,271,680,409],"rotation_degrees":41.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,93,364,271,680,409],"beta":{"interval_sums":[99275,95717,109300,98613,102944,88588],"interval_residues":[331,638,307,442,135,466],"display_cycle":[331,638,307,442,135,466],"intervals":[{"from_index":179,"to_index":437,"sum":99275,"residue":331},{"from_index":437,"to_index":695,"sum":95717,"residue":638},{"from_index":695,"to_index":953,"sum":109300,"residue":307},{"from_index":953,"to_index":1211,"sum":98613,"residue":442},{"from_index":1211,"to_index":1469,"sum":102944,"residue":135},{"from_index":1469,"to_index":179,"sum":88588,"residue":466}],"minimal_cycle":[331,638,307,442,135,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":331,"start_interval_clock_positions":[179,437],"circle_positions":773,"cycle_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":[180,438,696,954,1212,1470],"clock_positions":[180,438,696,954,1212,1470],"native_values":[42,102,60,731,671,713],"rotation_degrees":41.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,102,60,731,671,713],"beta":{"interval_sums":[99326,95979,109511,98562,102682,88377],"interval_residues":[382,127,518,391,646,255],"display_cycle":[382,127,518,391,646,255],"intervals":[{"from_index":180,"to_index":438,"sum":99326,"residue":382},{"from_index":438,"to_index":696,"sum":95979,"residue":127},{"from_index":696,"to_index":954,"sum":109511,"residue":518},{"from_index":954,"to_index":1212,"sum":98562,"residue":391},{"from_index":1212,"to_index":1470,"sum":102682,"residue":646},{"from_index":1470,"to_index":180,"sum":88377,"residue":255}],"minimal_cycle":[382,127,518,391,646,255],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[180,438],"circle_positions":773,"cycle_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":[181,439,697,955,1213,1471],"clock_positions":[181,439,697,955,1213,1471],"native_values":[544,195,424,229,578,349],"rotation_degrees":42.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,195,424,229,578,349],"beta":{"interval_sums":[98884,95844,109818,99004,102817,88070],"interval_residues":[713,765,52,60,8,721],"display_cycle":[713,765,52,60,8,721],"intervals":[{"from_index":181,"to_index":439,"sum":98884,"residue":713},{"from_index":439,"to_index":697,"sum":95844,"residue":765},{"from_index":697,"to_index":955,"sum":109818,"residue":52},{"from_index":955,"to_index":1213,"sum":99004,"residue":60},{"from_index":1213,"to_index":1471,"sum":102817,"residue":8},{"from_index":1471,"to_index":181,"sum":88070,"residue":721}],"minimal_cycle":[713,765,52,60,8,721],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[181,439],"circle_positions":773,"cycle_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":[182,440,698,956,1214,1472],"clock_positions":[182,440,698,956,1214,1472],"native_values":[586,297,484,187,476,289],"rotation_degrees":42.325581395348834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,297,484,187,476,289],"beta":{"interval_sums":[98493,95971,109563,99395,102690,88325],"interval_residues":[322,119,570,451,654,203],"display_cycle":[322,119,570,451,654,203],"intervals":[{"from_index":182,"to_index":440,"sum":98493,"residue":322},{"from_index":440,"to_index":698,"sum":95971,"residue":119},{"from_index":698,"to_index":956,"sum":109563,"residue":570},{"from_index":956,"to_index":1214,"sum":99395,"residue":451},{"from_index":1214,"to_index":1472,"sum":102690,"residue":654},{"from_index":1472,"to_index":182,"sum":88325,"residue":203}],"minimal_cycle":[322,119,570,451,654,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[182,440],"circle_positions":773,"cycle_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":[183,441,699,957,1215,1473],"clock_positions":[183,441,699,957,1215,1473],"native_values":[357,492,135,416,281,638],"rotation_degrees":42.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,492,135,416,281,638],"beta":{"interval_sums":[98433,95963,109615,99455,102698,88273],"interval_residues":[262,111,622,511,662,151],"display_cycle":[262,111,622,511,662,151],"intervals":[{"from_index":183,"to_index":441,"sum":98433,"residue":262},{"from_index":441,"to_index":699,"sum":95963,"residue":111},{"from_index":699,"to_index":957,"sum":109615,"residue":622},{"from_index":957,"to_index":1215,"sum":99455,"residue":511},{"from_index":1215,"to_index":1473,"sum":102698,"residue":662},{"from_index":1473,"to_index":183,"sum":88273,"residue":151}],"minimal_cycle":[262,111,622,511,662,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[183,441],"circle_positions":773,"cycle_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":[184,442,700,958,1216,1474],"clock_positions":[184,442,700,958,1216,1474],"native_values":[170,16,619,603,757,154],"rotation_degrees":42.7906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,16,619,603,757,154],"beta":{"interval_sums":[98755,96082,109412,99133,102579,88476],"interval_residues":[584,230,419,189,543,354],"display_cycle":[584,230,419,189,543,354],"intervals":[{"from_index":184,"to_index":442,"sum":98755,"residue":584},{"from_index":442,"to_index":700,"sum":96082,"residue":230},{"from_index":700,"to_index":958,"sum":109412,"residue":419},{"from_index":958,"to_index":1216,"sum":99133,"residue":189},{"from_index":1216,"to_index":1474,"sum":102579,"residue":543},{"from_index":1474,"to_index":184,"sum":88476,"residue":354}],"minimal_cycle":[584,230,419,189,543,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[184,442],"circle_positions":773,"cycle_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":[185,443,701,959,1217,1475],"clock_positions":[185,443,701,959,1217,1475],"native_values":[527,508,754,246,265,19],"rotation_degrees":43.02325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,508,754,246,265,19],"beta":{"interval_sums":[98244,96193,109261,99644,102468,88627],"interval_residues":[73,341,268,700,432,505],"display_cycle":[73,341,268,700,432,505],"intervals":[{"from_index":185,"to_index":443,"sum":98244,"residue":73},{"from_index":443,"to_index":701,"sum":96193,"residue":341},{"from_index":701,"to_index":959,"sum":109261,"residue":268},{"from_index":959,"to_index":1217,"sum":99644,"residue":700},{"from_index":1217,"to_index":1475,"sum":102468,"residue":432},{"from_index":1475,"to_index":185,"sum":88627,"residue":505}],"minimal_cycle":[73,341,268,700,432,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[185,443],"circle_positions":773,"cycle_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":[186,444,702,960,1218,1476],"clock_positions":[186,444,702,960,1218,1476],"native_values":[697,524,600,76,249,173],"rotation_degrees":43.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,524,600,76,249,173],"beta":{"interval_sums":[98055,96423,108907,99833,102238,88981],"interval_residues":[657,571,687,116,202,86],"display_cycle":[657,571,687,116,202,86],"intervals":[{"from_index":186,"to_index":444,"sum":98055,"residue":657},{"from_index":444,"to_index":702,"sum":96423,"residue":571},{"from_index":702,"to_index":960,"sum":108907,"residue":687},{"from_index":960,"to_index":1218,"sum":99833,"residue":116},{"from_index":1218,"to_index":1476,"sum":102238,"residue":202},{"from_index":1476,"to_index":186,"sum":88981,"residue":86}],"minimal_cycle":[657,571,687,116,202,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[186,444],"circle_positions":773,"cycle_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":[187,445,703,961,1219,1477],"clock_positions":[187,445,703,961,1219,1477],"native_values":[451,259,581,322,514,192],"rotation_degrees":43.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,259,581,322,514,192],"beta":{"interval_sums":[98128,96764,108402,99760,101897,89486],"interval_residues":[730,139,182,43,634,591],"display_cycle":[730,139,182,43,634,591],"intervals":[{"from_index":187,"to_index":445,"sum":98128,"residue":730},{"from_index":445,"to_index":703,"sum":96764,"residue":139},{"from_index":703,"to_index":961,"sum":108402,"residue":182},{"from_index":961,"to_index":1219,"sum":99760,"residue":43},{"from_index":1219,"to_index":1477,"sum":101897,"residue":634},{"from_index":1477,"to_index":187,"sum":89486,"residue":591}],"minimal_cycle":[730,139,182,43,634,591],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[187,445],"circle_positions":773,"cycle_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":[188,446,704,962,1220,1478],"clock_positions":[188,446,704,962,1220,1478],"native_values":[375,10,408,398,763,365],"rotation_degrees":43.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,10,408,398,763,365],"beta":{"interval_sums":[98012,97335,108316,99876,101326,89572],"interval_residues":[614,710,96,159,63,677],"display_cycle":[614,710,96,159,63,677],"intervals":[{"from_index":188,"to_index":446,"sum":98012,"residue":614},{"from_index":446,"to_index":704,"sum":97335,"residue":710},{"from_index":704,"to_index":962,"sum":108316,"residue":96},{"from_index":962,"to_index":1220,"sum":99876,"residue":159},{"from_index":1220,"to_index":1478,"sum":101326,"residue":63},{"from_index":1478,"to_index":188,"sum":89572,"residue":677}],"minimal_cycle":[614,710,96,159,63,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[188,446],"circle_positions":773,"cycle_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":[189,447,705,963,1221,1479],"clock_positions":[189,447,705,963,1221,1479],"native_values":[53,269,216,720,504,557],"rotation_degrees":43.95348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,269,216,720,504,557],"beta":{"interval_sums":[97969,97474,108498,99919,101187,89390],"interval_residues":[571,76,278,202,697,495],"display_cycle":[571,76,278,202,697,495],"intervals":[{"from_index":189,"to_index":447,"sum":97969,"residue":571},{"from_index":447,"to_index":705,"sum":97474,"residue":76},{"from_index":705,"to_index":963,"sum":108498,"residue":278},{"from_index":963,"to_index":1221,"sum":99919,"residue":202},{"from_index":1221,"to_index":1479,"sum":101187,"residue":697},{"from_index":1479,"to_index":189,"sum":89390,"residue":495}],"minimal_cycle":[571,76,278,202,697,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[189,447],"circle_positions":773,"cycle_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":[190,448,706,964,1222,1480],"clock_positions":[190,448,706,964,1222,1480],"native_values":[428,279,624,345,494,149],"rotation_degrees":44.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,279,624,345,494,149],"beta":{"interval_sums":[97810,97411,108594,100078,101250,89294],"interval_residues":[412,13,374,361,760,399],"display_cycle":[412,13,374,361,760,399],"intervals":[{"from_index":190,"to_index":448,"sum":97810,"residue":412},{"from_index":448,"to_index":706,"sum":97411,"residue":13},{"from_index":706,"to_index":964,"sum":108594,"residue":374},{"from_index":964,"to_index":1222,"sum":100078,"residue":361},{"from_index":1222,"to_index":1480,"sum":101250,"residue":760},{"from_index":1480,"to_index":190,"sum":89294,"residue":399}],"minimal_cycle":[412,13,374,361,760,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[190,448],"circle_positions":773,"cycle_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":[191,449,707,965,1223,1481],"clock_positions":[191,449,707,965,1223,1481],"native_values":[481,548,67,292,225,706],"rotation_degrees":44.41860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[481,548,67,292,225,706],"beta":{"interval_sums":[97608,97487,108872,100280,101174,89016],"interval_residues":[210,89,652,563,684,121],"display_cycle":[210,89,652,563,684,121],"intervals":[{"from_index":191,"to_index":449,"sum":97608,"residue":210},{"from_index":449,"to_index":707,"sum":97487,"residue":89},{"from_index":707,"to_index":965,"sum":108872,"residue":652},{"from_index":965,"to_index":1223,"sum":100280,"residue":563},{"from_index":1223,"to_index":1481,"sum":101174,"residue":684},{"from_index":1481,"to_index":191,"sum":89016,"residue":121}],"minimal_cycle":[210,89,652,563,684,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[191,449],"circle_positions":773,"cycle_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":[192,450,708,966,1224,1482],"clock_positions":[192,450,708,966,1224,1482],"native_values":[136,54,691,637,719,82],"rotation_degrees":44.651162790697676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[136,54,691,637,719,82],"beta":{"interval_sums":[98020,97500,108473,99868,101161,89415],"interval_residues":[622,102,253,151,671,520],"display_cycle":[622,102,253,151,671,520],"intervals":[{"from_index":192,"to_index":450,"sum":98020,"residue":622},{"from_index":450,"to_index":708,"sum":97500,"residue":102},{"from_index":708,"to_index":966,"sum":108473,"residue":253},{"from_index":966,"to_index":1224,"sum":99868,"residue":151},{"from_index":1224,"to_index":1482,"sum":101161,"residue":671},{"from_index":1482,"to_index":192,"sum":89415,"residue":520}],"minimal_cycle":[622,102,253,151,671,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[192,450],"circle_positions":773,"cycle_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":[193,451,709,967,1225,1483],"clock_positions":[193,451,709,967,1225,1483],"native_values":[617,602,758,156,171,15],"rotation_degrees":44.883720930232556,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,602,758,156,171,15],"beta":{"interval_sums":[97457,97589,108352,100431,101072,89536],"interval_residues":[59,191,132,714,582,641],"display_cycle":[59,191,132,714,582,641],"intervals":[{"from_index":193,"to_index":451,"sum":97457,"residue":59},{"from_index":451,"to_index":709,"sum":97589,"residue":191},{"from_index":709,"to_index":967,"sum":108352,"residue":132},{"from_index":967,"to_index":1225,"sum":100431,"residue":714},{"from_index":1225,"to_index":1483,"sum":101072,"residue":582},{"from_index":1483,"to_index":193,"sum":89536,"residue":641}],"minimal_cycle":[59,191,132,714,582,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":59,"start_interval_clock_positions":[193,451],"circle_positions":773,"cycle_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":[194,452,710,968,1226,1484],"clock_positions":[194,452,710,968,1226,1484],"native_values":[753,656,676,20,117,97],"rotation_degrees":45.116279069767444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,656,676,20,117,97],"beta":{"interval_sums":[97306,97691,107832,100582,100970,90056],"interval_residues":[681,293,385,92,480,388],"display_cycle":[681,293,385,92,480,388],"intervals":[{"from_index":194,"to_index":452,"sum":97306,"residue":681},{"from_index":452,"to_index":710,"sum":97691,"residue":293},{"from_index":710,"to_index":968,"sum":107832,"residue":385},{"from_index":968,"to_index":1226,"sum":100582,"residue":92},{"from_index":1226,"to_index":1484,"sum":100970,"residue":480},{"from_index":1484,"to_index":194,"sum":90056,"residue":388}],"minimal_cycle":[681,293,385,92,480,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[194,452],"circle_positions":773,"cycle_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":[195,453,711,969,1227,1485],"clock_positions":[195,453,711,969,1227,1485],"native_values":[597,485,661,176,288,112],"rotation_degrees":45.348837209302324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,485,661,176,288,112],"beta":{"interval_sums":[97365,97882,107191,100523,100779,90697],"interval_residues":[740,484,517,33,289,256],"display_cycle":[740,484,517,33,289,256],"intervals":[{"from_index":195,"to_index":453,"sum":97365,"residue":740},{"from_index":453,"to_index":711,"sum":97882,"residue":484},{"from_index":711,"to_index":969,"sum":107191,"residue":517},{"from_index":969,"to_index":1227,"sum":100523,"residue":33},{"from_index":1227,"to_index":1485,"sum":100779,"residue":289},{"from_index":1485,"to_index":195,"sum":90697,"residue":256}],"minimal_cycle":[740,484,517,33,289,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":740,"start_interval_clock_positions":[195,453],"circle_positions":773,"cycle_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":[196,454,712,970,1228,1486],"clock_positions":[196,454,712,970,1228,1486],"native_values":[577,368,564,196,405,209],"rotation_degrees":45.58139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,368,564,196,405,209],"beta":{"interval_sums":[97273,98175,106803,100615,100486,91085],"interval_residues":[648,4,129,125,769,644],"display_cycle":[648,4,129,125,769,644],"intervals":[{"from_index":196,"to_index":454,"sum":97273,"residue":648},{"from_index":454,"to_index":712,"sum":98175,"residue":4},{"from_index":712,"to_index":970,"sum":106803,"residue":129},{"from_index":970,"to_index":1228,"sum":100615,"residue":125},{"from_index":1228,"to_index":1486,"sum":100486,"residue":769},{"from_index":1486,"to_index":196,"sum":91085,"residue":644}],"minimal_cycle":[648,4,129,125,769,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[196,454],"circle_positions":773,"cycle_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":[197,455,713,971,1229,1487],"clock_positions":[197,455,713,971,1229,1487],"native_values":[401,80,452,372,693,321],"rotation_degrees":45.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,80,452,372,693,321],"beta":{"interval_sums":[97240,98659,106547,100648,100002,91341],"interval_residues":[615,488,646,158,285,127],"display_cycle":[615,488,646,158,285,127],"intervals":[{"from_index":197,"to_index":455,"sum":97240,"residue":615},{"from_index":455,"to_index":713,"sum":98659,"residue":488},{"from_index":713,"to_index":971,"sum":106547,"residue":646},{"from_index":971,"to_index":1229,"sum":100648,"residue":158},{"from_index":1229,"to_index":1487,"sum":100002,"residue":285},{"from_index":1487,"to_index":197,"sum":91341,"residue":127}],"minimal_cycle":[615,488,646,158,285,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[197,455],"circle_positions":773,"cycle_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":[198,456,714,972,1230,1488],"clock_positions":[198,456,714,972,1230,1488],"native_values":[205,448,243,568,325,530],"rotation_degrees":46.04651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,448,243,568,325,530],"beta":{"interval_sums":[97115,98663,106676,100773,99998,91212],"interval_residues":[490,492,2,283,281,771],"display_cycle":[490,492,2,283,281,771],"intervals":[{"from_index":198,"to_index":456,"sum":97115,"residue":490},{"from_index":456,"to_index":714,"sum":98663,"residue":492},{"from_index":714,"to_index":972,"sum":106676,"residue":2},{"from_index":972,"to_index":1230,"sum":100773,"residue":283},{"from_index":1230,"to_index":1488,"sum":99998,"residue":281},{"from_index":1488,"to_index":198,"sum":91212,"residue":771}],"minimal_cycle":[490,492,2,283,281,771],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[198,456],"circle_positions":773,"cycle_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":[199,457,715,973,1231,1489],"clock_positions":[199,457,715,973,1231,1489],"native_values":[606,528,695,167,245,78],"rotation_degrees":46.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[606,528,695,167,245,78],"beta":{"interval_sums":[96957,98378,106549,100931,100283,91339],"interval_residues":[332,207,648,441,566,125],"display_cycle":[332,207,648,441,566,125],"intervals":[{"from_index":199,"to_index":457,"sum":96957,"residue":332},{"from_index":457,"to_index":715,"sum":98378,"residue":207},{"from_index":715,"to_index":973,"sum":106549,"residue":648},{"from_index":973,"to_index":1231,"sum":100931,"residue":441},{"from_index":1231,"to_index":1489,"sum":100283,"residue":566},{"from_index":1489,"to_index":199,"sum":91339,"residue":125}],"minimal_cycle":[332,207,648,441,566,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[199,457],"circle_positions":773,"cycle_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":[200,458,716,974,1232,1490],"clock_positions":[200,458,716,974,1232,1490],"native_values":[38,203,165,735,570,608],"rotation_degrees":46.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,203,165,735,570,608],"beta":{"interval_sums":[97447,98870,106551,100441,99791,91337],"interval_residues":[49,699,650,724,74,123],"display_cycle":[49,699,650,724,74,123],"intervals":[{"from_index":200,"to_index":458,"sum":97447,"residue":49},{"from_index":458,"to_index":716,"sum":98870,"residue":699},{"from_index":716,"to_index":974,"sum":106551,"residue":650},{"from_index":974,"to_index":1232,"sum":100441,"residue":724},{"from_index":1232,"to_index":1490,"sum":99791,"residue":74},{"from_index":1490,"to_index":200,"sum":91337,"residue":123}],"minimal_cycle":[49,699,650,724,74,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":49,"start_interval_clock_positions":[200,458],"circle_positions":773,"cycle_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":[201,459,717,975,1233,1491],"clock_positions":[201,459,717,975,1233,1491],"native_values":[644,731,87,129,42,686],"rotation_degrees":46.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,731,87,129,42,686],"beta":{"interval_sums":[97006,98304,107199,100882,100357,90689],"interval_residues":[381,133,525,392,640,248],"display_cycle":[381,133,525,392,640,248],"intervals":[{"from_index":201,"to_index":459,"sum":97006,"residue":381},{"from_index":459,"to_index":717,"sum":98304,"residue":133},{"from_index":717,"to_index":975,"sum":107199,"residue":525},{"from_index":975,"to_index":1233,"sum":100882,"residue":392},{"from_index":1233,"to_index":1491,"sum":100357,"residue":640},{"from_index":1491,"to_index":201,"sum":90689,"residue":248}],"minimal_cycle":[381,133,525,392,640,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":381,"start_interval_clock_positions":[201,459],"circle_positions":773,"cycle_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":[202,460,718,976,1234,1492],"clock_positions":[202,460,718,976,1234,1492],"native_values":[682,161,252,91,612,521],"rotation_degrees":46.97674418604651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[682,161,252,91,612,521],"beta":{"interval_sums":[97055,98230,107076,100833,100431,90812],"interval_residues":[430,59,402,343,714,371],"display_cycle":[430,59,402,343,714,371],"intervals":[{"from_index":202,"to_index":460,"sum":97055,"residue":430},{"from_index":460,"to_index":718,"sum":98230,"residue":59},{"from_index":718,"to_index":976,"sum":107076,"residue":402},{"from_index":976,"to_index":1234,"sum":100833,"residue":343},{"from_index":1234,"to_index":1492,"sum":100431,"residue":714},{"from_index":1492,"to_index":202,"sum":90812,"residue":371}],"minimal_cycle":[430,59,402,343,714,371],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[202,460],"circle_positions":773,"cycle_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":[203,461,719,977,1235,1493],"clock_positions":[203,461,719,977,1235,1493],"native_values":[553,119,339,220,654,434],"rotation_degrees":47.2093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,119,339,220,654,434],"beta":{"interval_sums":[96663,98363,106828,101225,100298,91060],"interval_residues":[38,192,154,735,581,619],"display_cycle":[38,192,154,735,581,619],"intervals":[{"from_index":203,"to_index":461,"sum":96663,"residue":38},{"from_index":461,"to_index":719,"sum":98363,"residue":192},{"from_index":719,"to_index":977,"sum":106828,"residue":154},{"from_index":977,"to_index":1235,"sum":101225,"residue":735},{"from_index":1235,"to_index":1493,"sum":100298,"residue":581},{"from_index":1493,"to_index":203,"sum":91060,"residue":619}],"minimal_cycle":[38,192,154,735,581,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[203,461],"circle_positions":773,"cycle_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":[204,462,720,978,1236,1494],"clock_positions":[204,462,720,978,1236,1494],"native_values":[462,280,591,311,493,182],"rotation_degrees":47.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[462,280,591,311,493,182],"beta":{"interval_sums":[96320,98422,106457,101568,100239,91431],"interval_residues":[468,251,556,305,522,217],"display_cycle":[468,251,556,305,522,217],"intervals":[{"from_index":204,"to_index":462,"sum":96320,"residue":468},{"from_index":462,"to_index":720,"sum":98422,"residue":251},{"from_index":720,"to_index":978,"sum":106457,"residue":556},{"from_index":978,"to_index":1236,"sum":101568,"residue":305},{"from_index":1236,"to_index":1494,"sum":100239,"residue":522},{"from_index":1494,"to_index":204,"sum":91431,"residue":217}],"minimal_cycle":[468,251,556,305,522,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[204,462],"circle_positions":773,"cycle_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":[205,463,721,979,1237,1495],"clock_positions":[205,463,721,979,1237,1495],"native_values":[242,399,157,531,374,616],"rotation_degrees":47.674418604651166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[242,399,157,531,374,616],"beta":{"interval_sums":[96358,98614,106611,101530,100047,91277],"interval_residues":[506,443,710,267,330,63],"display_cycle":[506,443,710,267,330,63],"intervals":[{"from_index":205,"to_index":463,"sum":96358,"residue":506},{"from_index":463,"to_index":721,"sum":98614,"residue":443},{"from_index":721,"to_index":979,"sum":106611,"residue":710},{"from_index":979,"to_index":1237,"sum":101530,"residue":267},{"from_index":1237,"to_index":1495,"sum":100047,"residue":330},{"from_index":1495,"to_index":205,"sum":91277,"residue":63}],"minimal_cycle":[506,443,710,267,330,63],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[205,463],"circle_positions":773,"cycle_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":[206,464,722,980,1238,1496],"clock_positions":[206,464,722,980,1238,1496],"native_values":[704,679,748,69,94,25],"rotation_degrees":47.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,679,748,69,94,25],"beta":{"interval_sums":[96053,98092,106394,101835,100569,91494],"interval_residues":[201,694,493,572,79,280],"display_cycle":[201,694,493,572,79,280],"intervals":[{"from_index":206,"to_index":464,"sum":96053,"residue":201},{"from_index":464,"to_index":722,"sum":98092,"residue":694},{"from_index":722,"to_index":980,"sum":106394,"residue":493},{"from_index":980,"to_index":1238,"sum":101835,"residue":572},{"from_index":1238,"to_index":1496,"sum":100569,"residue":79},{"from_index":1496,"to_index":206,"sum":91494,"residue":280}],"minimal_cycle":[201,694,493,572,79,280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[206,464],"circle_positions":773,"cycle_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":[207,465,723,981,1239,1497],"clock_positions":[207,465,723,981,1239,1497],"native_values":[173,305,132,600,468,641],"rotation_degrees":48.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,305,132,600,468,641],"beta":{"interval_sums":[96559,98535,106331,101329,100126,91557],"interval_residues":[707,364,430,66,409,343],"display_cycle":[707,364,430,66,409,343],"intervals":[{"from_index":207,"to_index":465,"sum":96559,"residue":707},{"from_index":465,"to_index":723,"sum":98535,"residue":364},{"from_index":723,"to_index":981,"sum":106331,"residue":430},{"from_index":981,"to_index":1239,"sum":101329,"residue":66},{"from_index":1239,"to_index":1497,"sum":100126,"residue":409},{"from_index":1497,"to_index":207,"sum":91557,"residue":343}],"minimal_cycle":[707,364,430,66,409,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[207,465],"circle_positions":773,"cycle_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":[208,466,724,982,1240,1498],"clock_positions":[208,466,724,982,1240,1498],"native_values":[104,211,107,669,562,666],"rotation_degrees":48.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,211,107,669,562,666],"beta":{"interval_sums":[96760,98456,106824,101128,100205,91064],"interval_residues":[135,285,150,638,488,623],"display_cycle":[135,285,150,638,488,623],"intervals":[{"from_index":208,"to_index":466,"sum":96760,"residue":135},{"from_index":466,"to_index":724,"sum":98456,"residue":285},{"from_index":724,"to_index":982,"sum":106824,"residue":150},{"from_index":982,"to_index":1240,"sum":101128,"residue":638},{"from_index":1240,"to_index":1498,"sum":100205,"residue":488},{"from_index":1498,"to_index":208,"sum":91064,"residue":623}],"minimal_cycle":[135,285,150,638,488,623],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[208,466],"circle_positions":773,"cycle_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":[209,467,725,983,1241,1499],"clock_positions":[209,467,725,983,1241,1499],"native_values":[277,516,239,496,257,534],"rotation_degrees":48.604651162790695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,516,239,496,257,534],"beta":{"interval_sums":[96694,98047,107254,101194,100614,90634],"interval_residues":[69,649,580,704,124,193],"display_cycle":[69,649,580,704,124,193],"intervals":[{"from_index":209,"to_index":467,"sum":96694,"residue":69},{"from_index":467,"to_index":725,"sum":98047,"residue":649},{"from_index":725,"to_index":983,"sum":107254,"residue":580},{"from_index":983,"to_index":1241,"sum":101194,"residue":704},{"from_index":1241,"to_index":1499,"sum":100614,"residue":124},{"from_index":1499,"to_index":209,"sum":90634,"residue":193}],"minimal_cycle":[69,649,580,704,124,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":69,"start_interval_clock_positions":[209,467],"circle_positions":773,"cycle_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":[210,468,726,984,1242,1500],"clock_positions":[210,468,726,984,1242,1500],"native_values":[381,727,346,392,46,427],"rotation_degrees":48.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,727,346,392,46,427],"beta":{"interval_sums":[96829,97559,107404,101059,101102,90484],"interval_residues":[204,161,730,569,612,43],"display_cycle":[204,161,730,569,612,43],"intervals":[{"from_index":210,"to_index":468,"sum":96829,"residue":204},{"from_index":468,"to_index":726,"sum":97559,"residue":161},{"from_index":726,"to_index":984,"sum":107404,"residue":730},{"from_index":984,"to_index":1242,"sum":101059,"residue":569},{"from_index":1242,"to_index":1500,"sum":101102,"residue":612},{"from_index":1500,"to_index":210,"sum":90484,"residue":43}],"minimal_cycle":[204,161,730,569,612,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[210,468],"circle_positions":773,"cycle_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":[211,469,727,985,1243,1501],"clock_positions":[211,469,727,985,1243,1501],"native_values":[658,470,585,115,303,188],"rotation_degrees":49.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,470,585,115,303,188],"beta":{"interval_sums":[96898,97435,107211,100990,101226,90677],"interval_residues":[273,37,537,500,736,236],"display_cycle":[273,37,537,500,736,236],"intervals":[{"from_index":211,"to_index":469,"sum":96898,"residue":273},{"from_index":469,"to_index":727,"sum":97435,"residue":37},{"from_index":727,"to_index":985,"sum":107211,"residue":537},{"from_index":985,"to_index":1243,"sum":100990,"residue":500},{"from_index":1243,"to_index":1501,"sum":101226,"residue":736},{"from_index":1501,"to_index":211,"sum":90677,"residue":236}],"minimal_cycle":[273,37,537,500,736,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[211,469],"circle_positions":773,"cycle_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":[212,470,728,986,1244,1502],"clock_positions":[212,470,728,986,1244,1502],"native_values":[266,424,158,507,349,615],"rotation_degrees":49.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,424,158,507,349,615],"beta":{"interval_sums":[97102,97596,107168,100786,101065,90720],"interval_residues":[477,198,494,296,575,279],"display_cycle":[477,198,494,296,575,279],"intervals":[{"from_index":212,"to_index":470,"sum":97102,"residue":477},{"from_index":470,"to_index":728,"sum":97596,"residue":198},{"from_index":728,"to_index":986,"sum":107168,"residue":494},{"from_index":986,"to_index":1244,"sum":100786,"residue":296},{"from_index":1244,"to_index":1502,"sum":101065,"residue":575},{"from_index":1502,"to_index":212,"sum":90720,"residue":279}],"minimal_cycle":[477,198,494,296,575,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":477,"start_interval_clock_positions":[212,470],"circle_positions":773,"cycle_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":[213,471,729,987,1245,1503],"clock_positions":[213,471,729,987,1245,1503],"native_values":[151,121,743,622,652,30],"rotation_degrees":49.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,121,743,622,652,30],"beta":{"interval_sums":[97375,97633,106932,100513,101028,90956],"interval_residues":[750,235,258,23,538,515],"display_cycle":[750,235,258,23,538,515],"intervals":[{"from_index":213,"to_index":471,"sum":97375,"residue":750},{"from_index":471,"to_index":729,"sum":97633,"residue":235},{"from_index":729,"to_index":987,"sum":106932,"residue":258},{"from_index":987,"to_index":1245,"sum":100513,"residue":23},{"from_index":1245,"to_index":1503,"sum":101028,"residue":538},{"from_index":1503,"to_index":213,"sum":90956,"residue":515}],"minimal_cycle":[750,235,258,23,538,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[213,471],"circle_positions":773,"cycle_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":[214,472,730,988,1246,1504],"clock_positions":[214,472,730,988,1246,1504],"native_values":[417,545,128,356,228,645],"rotation_degrees":49.76744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,545,128,356,228,645],"beta":{"interval_sums":[97079,97831,107426,100809,100830,90462],"interval_residues":[454,433,752,319,340,21],"display_cycle":[454,433,752,319,340,21],"intervals":[{"from_index":214,"to_index":472,"sum":97079,"residue":454},{"from_index":472,"to_index":730,"sum":97831,"residue":433},{"from_index":730,"to_index":988,"sum":107426,"residue":752},{"from_index":988,"to_index":1246,"sum":100809,"residue":319},{"from_index":1246,"to_index":1504,"sum":100830,"residue":340},{"from_index":1504,"to_index":214,"sum":90462,"residue":21}],"minimal_cycle":[454,433,752,319,340,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[214,472],"circle_positions":773,"cycle_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":[215,473,731,989,1247,1505],"clock_positions":[215,473,731,989,1247,1505],"native_values":[568,666,98,205,107,675],"rotation_degrees":50.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,666,98,205,107,675],"beta":{"interval_sums":[97056,97293,107684,100832,101368,90204],"interval_residues":[431,668,237,342,105,536],"display_cycle":[431,668,237,342,105,536],"intervals":[{"from_index":215,"to_index":473,"sum":97056,"residue":431},{"from_index":473,"to_index":731,"sum":97293,"residue":668},{"from_index":731,"to_index":989,"sum":107684,"residue":237},{"from_index":989,"to_index":1247,"sum":100832,"residue":342},{"from_index":1247,"to_index":1505,"sum":101368,"residue":105},{"from_index":1505,"to_index":215,"sum":90204,"residue":536}],"minimal_cycle":[431,668,237,342,105,536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[215,473],"circle_positions":773,"cycle_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":[216,474,732,990,1248,1506],"clock_positions":[216,474,732,990,1248,1506],"native_values":[212,438,226,561,335,547],"rotation_degrees":50.23255813953488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,438,226,561,335,547],"beta":{"interval_sums":[97510,96953,107663,100378,101708,90225],"interval_residues":[112,328,216,661,445,557],"display_cycle":[112,328,216,661,445,557],"intervals":[{"from_index":216,"to_index":474,"sum":97510,"residue":112},{"from_index":474,"to_index":732,"sum":96953,"residue":328},{"from_index":732,"to_index":990,"sum":107663,"residue":216},{"from_index":990,"to_index":1248,"sum":100378,"residue":661},{"from_index":1248,"to_index":1506,"sum":101708,"residue":445},{"from_index":1506,"to_index":216,"sum":90225,"residue":557}],"minimal_cycle":[112,328,216,661,445,557],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[216,474],"circle_positions":773,"cycle_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":[217,475,733,991,1249,1507],"clock_positions":[217,475,733,991,1249,1507],"native_values":[7,331,324,766,442,449],"rotation_degrees":50.46511627906977,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,331,324,766,442,449],"beta":{"interval_sums":[97941,96848,107900,99947,101813,89988],"interval_residues":[543,223,453,230,550,320],"display_cycle":[543,223,453,230,550,320],"intervals":[{"from_index":217,"to_index":475,"sum":97941,"residue":543},{"from_index":475,"to_index":733,"sum":96848,"residue":223},{"from_index":733,"to_index":991,"sum":107900,"residue":453},{"from_index":991,"to_index":1249,"sum":99947,"residue":230},{"from_index":1249,"to_index":1507,"sum":101813,"residue":550},{"from_index":1507,"to_index":217,"sum":89988,"residue":320}],"minimal_cycle":[543,223,453,230,550,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[217,475],"circle_positions":773,"cycle_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":[218,476,734,992,1250,1508],"clock_positions":[218,476,734,992,1250,1508],"native_values":[219,769,550,554,4,223],"rotation_degrees":50.69767441860465,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,769,550,554,4,223],"beta":{"interval_sums":[98053,96403,108116,99835,102258,89772],"interval_residues":[655,551,669,118,222,104],"display_cycle":[655,551,669,118,222,104],"intervals":[{"from_index":218,"to_index":476,"sum":98053,"residue":655},{"from_index":476,"to_index":734,"sum":96403,"residue":551},{"from_index":734,"to_index":992,"sum":108116,"residue":669},{"from_index":992,"to_index":1250,"sum":99835,"residue":118},{"from_index":1250,"to_index":1508,"sum":102258,"residue":222},{"from_index":1508,"to_index":218,"sum":89772,"residue":104}],"minimal_cycle":[655,551,669,118,222,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[218,476],"circle_positions":773,"cycle_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":[219,477,735,993,1251,1509],"clock_positions":[219,477,735,993,1251,1509],"native_values":[226,327,101,547,446,672],"rotation_degrees":50.93023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,327,101,547,446,672],"beta":{"interval_sums":[98596,96626,108569,99292,102035,89319],"interval_residues":[425,1,349,348,772,424],"display_cycle":[425,1,349,348,772,424],"intervals":[{"from_index":219,"to_index":477,"sum":98596,"residue":425},{"from_index":477,"to_index":735,"sum":96626,"residue":1},{"from_index":735,"to_index":993,"sum":108569,"residue":349},{"from_index":993,"to_index":1251,"sum":99292,"residue":348},{"from_index":1251,"to_index":1509,"sum":102035,"residue":772},{"from_index":1509,"to_index":219,"sum":89319,"residue":424}],"minimal_cycle":[425,1,349,348,772,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[219,477],"circle_positions":773,"cycle_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":[220,478,736,994,1252,1510],"clock_positions":[220,478,736,994,1252,1510],"native_values":[445,323,651,328,450,122],"rotation_degrees":51.16279069767442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[445,323,651,328,450,122],"beta":{"interval_sums":[98478,96404,108465,99410,102257,89423],"interval_residues":[307,552,245,466,221,528],"display_cycle":[307,552,245,466,221,528],"intervals":[{"from_index":220,"to_index":478,"sum":98478,"residue":307},{"from_index":478,"to_index":736,"sum":96404,"residue":552},{"from_index":736,"to_index":994,"sum":108465,"residue":245},{"from_index":994,"to_index":1252,"sum":99410,"residue":466},{"from_index":1252,"to_index":1510,"sum":102257,"residue":221},{"from_index":1510,"to_index":220,"sum":89423,"residue":528}],"minimal_cycle":[307,552,245,466,221,528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[220,478],"circle_positions":773,"cycle_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":[221,479,737,995,1253,1511],"clock_positions":[221,479,737,995,1253,1511],"native_values":[671,650,752,102,123,21],"rotation_degrees":51.395348837209305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,650,752,102,123,21],"beta":{"interval_sums":[98130,96405,108041,99758,102256,89847],"interval_residues":[732,553,594,41,220,179],"display_cycle":[732,553,594,41,220,179],"intervals":[{"from_index":221,"to_index":479,"sum":98130,"residue":732},{"from_index":479,"to_index":737,"sum":96405,"residue":553},{"from_index":737,"to_index":995,"sum":108041,"residue":594},{"from_index":995,"to_index":1253,"sum":99758,"residue":41},{"from_index":1253,"to_index":1511,"sum":102256,"residue":220},{"from_index":1511,"to_index":221,"sum":89847,"residue":179}],"minimal_cycle":[732,553,594,41,220,179],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[221,479],"circle_positions":773,"cycle_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":[222,480,738,996,1254,1512],"clock_positions":[222,480,738,996,1254,1512],"native_values":[343,200,630,430,573,143],"rotation_degrees":51.627906976744185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,200,630,430,573,143],"beta":{"interval_sums":[98437,96957,107513,99451,101704,90375],"interval_residues":[266,332,66,507,441,707],"display_cycle":[266,332,66,507,441,707],"intervals":[{"from_index":222,"to_index":480,"sum":98437,"residue":266},{"from_index":480,"to_index":738,"sum":96957,"residue":332},{"from_index":738,"to_index":996,"sum":107513,"residue":66},{"from_index":996,"to_index":1254,"sum":99451,"residue":507},{"from_index":1254,"to_index":1512,"sum":101704,"residue":441},{"from_index":1512,"to_index":222,"sum":90375,"residue":707}],"minimal_cycle":[266,332,66,507,441,707],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[222,480],"circle_positions":773,"cycle_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":[223,481,739,997,1255,1513],"clock_positions":[223,481,739,997,1255,1513],"native_values":[241,77,609,532,696,164],"rotation_degrees":51.86046511627907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,77,609,532,696,164],"beta":{"interval_sums":[98396,97510,107334,99492,101151,90554],"interval_residues":[225,112,660,548,661,113],"display_cycle":[225,112,660,548,661,113],"intervals":[{"from_index":223,"to_index":481,"sum":98396,"residue":225},{"from_index":481,"to_index":739,"sum":97510,"residue":112},{"from_index":739,"to_index":997,"sum":107334,"residue":660},{"from_index":997,"to_index":1255,"sum":99492,"residue":548},{"from_index":1255,"to_index":1513,"sum":101151,"residue":661},{"from_index":1513,"to_index":223,"sum":90554,"residue":113}],"minimal_cycle":[225,112,660,548,661,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[223,481],"circle_positions":773,"cycle_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":[224,482,740,998,1256,1514],"clock_positions":[224,482,740,998,1256,1514],"native_values":[584,277,466,189,496,307],"rotation_degrees":52.093023255813954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,277,466,189,496,307],"beta":{"interval_sums":[97889,97842,107400,99999,100819,90488],"interval_residues":[491,444,726,282,329,47],"display_cycle":[491,444,726,282,329,47],"intervals":[{"from_index":224,"to_index":482,"sum":97889,"residue":491},{"from_index":482,"to_index":740,"sum":97842,"residue":444},{"from_index":740,"to_index":998,"sum":107400,"residue":726},{"from_index":998,"to_index":1256,"sum":99999,"residue":282},{"from_index":1256,"to_index":1514,"sum":100819,"residue":329},{"from_index":1514,"to_index":224,"sum":90488,"residue":47}],"minimal_cycle":[491,444,726,282,329,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[224,482],"circle_positions":773,"cycle_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":[225,483,741,999,1257,1515],"clock_positions":[225,483,741,999,1257,1515],"native_values":[52,354,302,721,419,471],"rotation_degrees":52.325581395348834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,354,302,721,419,471],"beta":{"interval_sums":[98114,97954,107287,99774,100707,90601],"interval_residues":[716,556,613,57,217,160],"display_cycle":[716,556,613,57,217,160],"intervals":[{"from_index":225,"to_index":483,"sum":98114,"residue":716},{"from_index":483,"to_index":741,"sum":97954,"residue":556},{"from_index":741,"to_index":999,"sum":107287,"residue":613},{"from_index":999,"to_index":1257,"sum":99774,"residue":57},{"from_index":1257,"to_index":1515,"sum":100707,"residue":217},{"from_index":1515,"to_index":225,"sum":90601,"residue":160}],"minimal_cycle":[716,556,613,57,217,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[225,483],"circle_positions":773,"cycle_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":[226,484,742,1000,1258,1516],"clock_positions":[226,484,742,1000,1258,1516],"native_values":[636,631,768,137,142,5],"rotation_degrees":52.55813953488372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[636,631,768,137,142,5],"beta":{"interval_sums":[97832,97625,107240,100056,101036,90648],"interval_residues":[434,227,566,339,546,207],"display_cycle":[434,227,566,339,546,207],"intervals":[{"from_index":226,"to_index":484,"sum":97832,"residue":434},{"from_index":484,"to_index":742,"sum":97625,"residue":227},{"from_index":742,"to_index":1000,"sum":107240,"residue":566},{"from_index":1000,"to_index":1258,"sum":100056,"residue":339},{"from_index":1258,"to_index":1516,"sum":101036,"residue":546},{"from_index":1516,"to_index":226,"sum":90648,"residue":207}],"minimal_cycle":[434,227,566,339,546,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[226,484],"circle_positions":773,"cycle_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":[227,485,743,1001,1259,1517],"clock_positions":[227,485,743,1001,1259,1517],"native_values":[688,212,297,85,561,476],"rotation_degrees":52.7906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,212,297,85,561,476],"beta":{"interval_sums":[97775,98181,107080,100113,100480,90808],"interval_residues":[377,10,406,396,763,367],"display_cycle":[377,10,406,396,763,367],"intervals":[{"from_index":227,"to_index":485,"sum":97775,"residue":377},{"from_index":485,"to_index":743,"sum":98181,"residue":10},{"from_index":743,"to_index":1001,"sum":107080,"residue":406},{"from_index":1001,"to_index":1259,"sum":100113,"residue":396},{"from_index":1259,"to_index":1517,"sum":100480,"residue":763},{"from_index":1517,"to_index":227,"sum":90808,"residue":367}],"minimal_cycle":[377,10,406,396,763,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[227,485],"circle_positions":773,"cycle_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":[228,486,744,1002,1260,1518],"clock_positions":[228,486,744,1002,1260,1518],"native_values":[551,70,292,222,703,481],"rotation_degrees":53.02325581395349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,70,292,222,703,481],"beta":{"interval_sums":[97436,98408,106873,100452,100253,91015],"interval_residues":[38,237,199,735,536,574],"display_cycle":[38,237,199,735,536,574],"intervals":[{"from_index":228,"to_index":486,"sum":97436,"residue":38},{"from_index":486,"to_index":744,"sum":98408,"residue":237},{"from_index":744,"to_index":1002,"sum":106873,"residue":199},{"from_index":1002,"to_index":1260,"sum":100452,"residue":735},{"from_index":1260,"to_index":1518,"sum":100253,"residue":536},{"from_index":1518,"to_index":228,"sum":91015,"residue":574}],"minimal_cycle":[38,237,199,735,536,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[228,486],"circle_positions":773,"cycle_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":[229,487,745,1003,1261,1519],"clock_positions":[229,487,745,1003,1261,1519],"native_values":[466,282,589,307,491,184],"rotation_degrees":53.25581395348837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,282,589,307,491,184],"beta":{"interval_sums":[97040,98418,106506,100848,100243,91382],"interval_residues":[415,247,605,358,526,168],"display_cycle":[415,247,605,358,526,168],"intervals":[{"from_index":229,"to_index":487,"sum":97040,"residue":415},{"from_index":487,"to_index":745,"sum":98418,"residue":247},{"from_index":745,"to_index":1003,"sum":106506,"residue":605},{"from_index":1003,"to_index":1261,"sum":100848,"residue":358},{"from_index":1261,"to_index":1519,"sum":100243,"residue":526},{"from_index":1519,"to_index":229,"sum":91382,"residue":168}],"minimal_cycle":[415,247,605,358,526,168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":415,"start_interval_clock_positions":[229,487],"circle_positions":773,"cycle_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":[230,488,746,1004,1262,1520],"clock_positions":[230,488,746,1004,1262,1520],"native_values":[244,352,108,529,421,665],"rotation_degrees":53.48837209302326,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[244,352,108,529,421,665],"beta":{"interval_sums":[97078,98655,106705,100810,100006,91183],"interval_residues":[453,484,31,320,289,742],"display_cycle":[453,484,31,320,289,742],"intervals":[{"from_index":230,"to_index":488,"sum":97078,"residue":453},{"from_index":488,"to_index":746,"sum":98655,"residue":484},{"from_index":746,"to_index":1004,"sum":106705,"residue":31},{"from_index":1004,"to_index":1262,"sum":100810,"residue":320},{"from_index":1262,"to_index":1520,"sum":100006,"residue":289},{"from_index":1520,"to_index":230,"sum":91183,"residue":742}],"minimal_cycle":[453,484,31,320,289,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":453,"start_interval_clock_positions":[230,488],"circle_positions":773,"cycle_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":[231,489,747,1005,1263,1521],"clock_positions":[231,489,747,1005,1263,1521],"native_values":[710,634,697,63,139,76],"rotation_degrees":53.72093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,634,697,63,139,76],"beta":{"interval_sums":[96720,98129,106537,101168,100532,91351],"interval_residues":[95,731,636,678,42,137],"display_cycle":[95,731,636,678,42,137],"intervals":[{"from_index":231,"to_index":489,"sum":96720,"residue":95},{"from_index":489,"to_index":747,"sum":98129,"residue":731},{"from_index":747,"to_index":1005,"sum":106537,"residue":636},{"from_index":1005,"to_index":1263,"sum":101168,"residue":678},{"from_index":1263,"to_index":1521,"sum":100532,"residue":42},{"from_index":1521,"to_index":231,"sum":91351,"residue":137}],"minimal_cycle":[95,731,636,678,42,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[231,489],"circle_positions":773,"cycle_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":[232,490,748,1006,1264,1522],"clock_positions":[232,490,748,1006,1264,1522],"native_values":[181,213,32,592,560,741],"rotation_degrees":53.95348837209303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,213,32,592,560,741],"beta":{"interval_sums":[97173,98613,106568,100715,100048,91320],"interval_residues":[548,442,667,225,331,106],"display_cycle":[548,442,667,225,331,106],"intervals":[{"from_index":232,"to_index":490,"sum":97173,"residue":548},{"from_index":490,"to_index":748,"sum":98613,"residue":442},{"from_index":748,"to_index":1006,"sum":106568,"residue":667},{"from_index":1006,"to_index":1264,"sum":100715,"residue":225},{"from_index":1264,"to_index":1522,"sum":100048,"residue":331},{"from_index":1522,"to_index":232,"sum":91320,"residue":106}],"minimal_cycle":[548,442,667,225,331,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[232,490],"circle_positions":773,"cycle_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":[233,491,749,1007,1265,1523],"clock_positions":[233,491,749,1007,1265,1523],"native_values":[118,74,729,655,699,44],"rotation_degrees":54.18604651162791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[118,74,729,655,699,44],"beta":{"interval_sums":[97268,98571,106431,100620,100090,91457],"interval_residues":[643,400,530,130,373,243],"display_cycle":[643,400,530,130,373,243],"intervals":[{"from_index":233,"to_index":491,"sum":97268,"residue":643},{"from_index":491,"to_index":749,"sum":98571,"residue":400},{"from_index":749,"to_index":1007,"sum":106431,"residue":530},{"from_index":1007,"to_index":1265,"sum":100620,"residue":130},{"from_index":1265,"to_index":1523,"sum":100090,"residue":373},{"from_index":1523,"to_index":233,"sum":91457,"residue":243}],"minimal_cycle":[643,400,530,130,373,243],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[233,491],"circle_positions":773,"cycle_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":[234,492,750,1008,1266,1524],"clock_positions":[234,492,750,1008,1266,1524],"native_values":[299,287,761,474,486,12],"rotation_degrees":54.41860465116279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,287,761,474,486,12],"beta":{"interval_sums":[97043,99013,106325,100845,99648,91563],"interval_residues":[418,69,424,355,704,349],"display_cycle":[418,69,424,355,704,349],"intervals":[{"from_index":234,"to_index":492,"sum":97043,"residue":418},{"from_index":492,"to_index":750,"sum":99013,"residue":69},{"from_index":750,"to_index":1008,"sum":106325,"residue":424},{"from_index":1008,"to_index":1266,"sum":100845,"residue":355},{"from_index":1266,"to_index":1524,"sum":99648,"residue":704},{"from_index":1524,"to_index":234,"sum":91563,"residue":349}],"minimal_cycle":[418,69,424,355,704,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[234,492],"circle_positions":773,"cycle_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":[235,493,751,1009,1267,1525],"clock_positions":[235,493,751,1009,1267,1525],"native_values":[417,361,717,356,412,56],"rotation_degrees":54.651162790697676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,361,717,356,412,56],"beta":{"interval_sums":[96913,99413,106082,100975,99248,91806],"interval_residues":[288,469,181,485,304,592],"display_cycle":[288,469,181,485,304,592],"intervals":[{"from_index":235,"to_index":493,"sum":96913,"residue":288},{"from_index":493,"to_index":751,"sum":99413,"residue":469},{"from_index":751,"to_index":1009,"sum":106082,"residue":181},{"from_index":1009,"to_index":1267,"sum":100975,"residue":485},{"from_index":1267,"to_index":1525,"sum":99248,"residue":304},{"from_index":1525,"to_index":235,"sum":91806,"residue":592}],"minimal_cycle":[288,469,181,485,304,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[235,493],"circle_positions":773,"cycle_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":[236,494,752,1010,1268,1526],"clock_positions":[236,494,752,1010,1268,1526],"native_values":[716,648,705,57,125,68],"rotation_degrees":54.883720930232556,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[716,648,705,57,125,68],"beta":{"interval_sums":[96558,99482,105733,101330,99179,92155],"interval_residues":[706,538,605,67,235,168],"display_cycle":[706,538,605,67,235,168],"intervals":[{"from_index":236,"to_index":494,"sum":96558,"residue":706},{"from_index":494,"to_index":752,"sum":99482,"residue":538},{"from_index":752,"to_index":1010,"sum":105733,"residue":605},{"from_index":1010,"to_index":1268,"sum":101330,"residue":67},{"from_index":1268,"to_index":1526,"sum":99179,"residue":235},{"from_index":1526,"to_index":236,"sum":92155,"residue":168}],"minimal_cycle":[706,538,605,67,235,168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[236,494],"circle_positions":773,"cycle_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":[237,495,753,1011,1269,1527],"clock_positions":[237,495,753,1011,1269,1527],"native_values":[360,236,649,413,537,124],"rotation_degrees":55.116279069767444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[360,236,649,413,537,124],"beta":{"interval_sums":[96846,99951,105141,101042,98710,92747],"interval_residues":[221,234,13,552,539,760],"display_cycle":[221,234,13,552,539,760],"intervals":[{"from_index":237,"to_index":495,"sum":96846,"residue":221},{"from_index":495,"to_index":753,"sum":99951,"residue":234},{"from_index":753,"to_index":1011,"sum":105141,"residue":13},{"from_index":1011,"to_index":1269,"sum":101042,"residue":552},{"from_index":1269,"to_index":1527,"sum":98710,"residue":539},{"from_index":1527,"to_index":237,"sum":92747,"residue":760}],"minimal_cycle":[221,234,13,552,539,760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[237,495],"circle_positions":773,"cycle_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":[238,496,754,1012,1270,1528],"clock_positions":[238,496,754,1012,1270,1528],"native_values":[303,111,581,470,662,192],"rotation_degrees":55.348837209302324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,111,581,470,662,192],"beta":{"interval_sums":[96779,100489,104973,101109,98172,92915],"interval_residues":[154,772,618,619,1,155],"display_cycle":[154,772,618,619,1,155],"intervals":[{"from_index":238,"to_index":496,"sum":96779,"residue":154},{"from_index":496,"to_index":754,"sum":100489,"residue":772},{"from_index":754,"to_index":1012,"sum":104973,"residue":618},{"from_index":1012,"to_index":1270,"sum":101109,"residue":619},{"from_index":1270,"to_index":1528,"sum":98172,"residue":1},{"from_index":1528,"to_index":238,"sum":92915,"residue":155}],"minimal_cycle":[154,772,618,619,1,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[238,496],"circle_positions":773,"cycle_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":[239,497,755,1013,1271,1529],"clock_positions":[239,497,755,1013,1271,1529],"native_values":[663,347,457,110,426,316],"rotation_degrees":55.58139534883721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,347,457,110,426,316],"beta":{"interval_sums":[96227,100723,104986,101661,97938,92902],"interval_residues":[375,233,631,398,540,142],"display_cycle":[375,233,631,398,540,142],"intervals":[{"from_index":239,"to_index":497,"sum":96227,"residue":375},{"from_index":497,"to_index":755,"sum":100723,"residue":233},{"from_index":755,"to_index":1013,"sum":104986,"residue":631},{"from_index":1013,"to_index":1271,"sum":101661,"residue":398},{"from_index":1271,"to_index":1529,"sum":97938,"residue":540},{"from_index":1529,"to_index":239,"sum":92902,"residue":142}],"minimal_cycle":[375,233,631,398,540,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":375,"start_interval_clock_positions":[239,497],"circle_positions":773,"cycle_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":[240,498,756,1014,1272,1530],"clock_positions":[240,498,756,1014,1272,1530],"native_values":[193,458,265,580,315,508],"rotation_degrees":55.81395348837209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,458,265,580,315,508],"beta":{"interval_sums":[96381,100722,104831,101507,97939,93057],"interval_residues":[529,232,476,244,541,297],"display_cycle":[529,232,476,244,541,297],"intervals":[{"from_index":240,"to_index":498,"sum":96381,"residue":529},{"from_index":498,"to_index":756,"sum":100722,"residue":232},{"from_index":756,"to_index":1014,"sum":104831,"residue":476},{"from_index":1014,"to_index":1272,"sum":101507,"residue":244},{"from_index":1272,"to_index":1530,"sum":97939,"residue":541},{"from_index":1530,"to_index":240,"sum":93057,"residue":297}],"minimal_cycle":[529,232,476,244,541,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[240,498],"circle_positions":773,"cycle_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":[241,499,757,1015,1273,1531],"clock_positions":[241,499,757,1015,1273,1531],"native_values":[83,32,722,690,741,51],"rotation_degrees":56.04651162790697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,32,722,690,741,51],"beta":{"interval_sums":[96756,100955,104689,101132,97706,93199],"interval_residues":[131,465,334,642,308,439],"display_cycle":[131,465,334,642,308,439],"intervals":[{"from_index":241,"to_index":499,"sum":96756,"residue":131},{"from_index":499,"to_index":757,"sum":100955,"residue":465},{"from_index":757,"to_index":1015,"sum":104689,"residue":334},{"from_index":1015,"to_index":1273,"sum":101132,"residue":642},{"from_index":1273,"to_index":1531,"sum":97706,"residue":308},{"from_index":1531,"to_index":241,"sum":93199,"residue":439}],"minimal_cycle":[131,465,334,642,308,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[241,499],"circle_positions":773,"cycle_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":[242,500,758,1016,1274,1532],"clock_positions":[242,500,758,1016,1274,1532],"native_values":[276,490,214,497,283,559],"rotation_degrees":56.27906976744186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,490,214,497,283,559],"beta":{"interval_sums":[96512,101187,105165,101376,97474,92723],"interval_residues":[660,697,37,113,76,736],"display_cycle":[660,697,37,113,76,736],"intervals":[{"from_index":242,"to_index":500,"sum":96512,"residue":660},{"from_index":500,"to_index":758,"sum":101187,"residue":697},{"from_index":758,"to_index":1016,"sum":105165,"residue":37},{"from_index":1016,"to_index":1274,"sum":101376,"residue":113},{"from_index":1274,"to_index":1532,"sum":97474,"residue":76},{"from_index":1532,"to_index":242,"sum":92723,"residue":736}],"minimal_cycle":[660,697,37,113,76,736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[242,500],"circle_positions":773,"cycle_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":[243,501,759,1017,1275,1533],"clock_positions":[243,501,759,1017,1275,1533],"native_values":[359,522,163,414,251,610],"rotation_degrees":56.51162790697674,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,522,163,414,251,610],"beta":{"interval_sums":[96643,100879,105499,101245,97782,92389],"interval_residues":[18,389,371,755,384,402],"display_cycle":[18,389,371,755,384,402],"intervals":[{"from_index":243,"to_index":501,"sum":96643,"residue":18},{"from_index":501,"to_index":759,"sum":100879,"residue":389},{"from_index":759,"to_index":1017,"sum":105499,"residue":371},{"from_index":1017,"to_index":1275,"sum":101245,"residue":755},{"from_index":1275,"to_index":1533,"sum":97782,"residue":384},{"from_index":1533,"to_index":243,"sum":92389,"residue":402}],"minimal_cycle":[18,389,371,755,384,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[243,501],"circle_positions":773,"cycle_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":[244,502,760,1018,1276,1534],"clock_positions":[244,502,760,1018,1276,1534],"native_values":[635,239,377,138,534,396],"rotation_degrees":56.74418604651163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,239,377,138,534,396],"beta":{"interval_sums":[96530,100803,105536,101358,97858,92352],"interval_residues":[678,313,408,95,460,365],"display_cycle":[678,313,408,95,460,365],"intervals":[{"from_index":244,"to_index":502,"sum":96530,"residue":678},{"from_index":502,"to_index":760,"sum":100803,"residue":313},{"from_index":760,"to_index":1018,"sum":105536,"residue":408},{"from_index":1018,"to_index":1276,"sum":101358,"residue":95},{"from_index":1276,"to_index":1534,"sum":97858,"residue":460},{"from_index":1534,"to_index":244,"sum":92352,"residue":365}],"minimal_cycle":[678,313,408,95,460,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[244,502],"circle_positions":773,"cycle_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":[245,503,761,1019,1277,1535],"clock_positions":[245,503,761,1019,1277,1535],"native_values":[221,761,540,552,12,233],"rotation_degrees":56.97674418604651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,761,540,552,12,233],"beta":{"interval_sums":[96548,100419,105134,101340,98242,92754],"interval_residues":[696,702,6,77,71,767],"display_cycle":[696,702,6,77,71,767],"intervals":[{"from_index":245,"to_index":503,"sum":96548,"residue":696},{"from_index":503,"to_index":761,"sum":100419,"residue":702},{"from_index":761,"to_index":1019,"sum":105134,"residue":6},{"from_index":1019,"to_index":1277,"sum":101340,"residue":77},{"from_index":1277,"to_index":1535,"sum":98242,"residue":71},{"from_index":1535,"to_index":245,"sum":92754,"residue":767}],"minimal_cycle":[696,702,6,77,71,767],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[245,503],"circle_positions":773,"cycle_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":[246,504,762,1020,1278,1536],"clock_positions":[246,504,762,1020,1278,1536],"native_values":[83,227,144,690,546,629],"rotation_degrees":57.2093023255814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,227,144,690,546,629],"beta":{"interval_sums":[97226,100732,105542,100662,97929,92346],"interval_residues":[601,242,414,172,531,359],"display_cycle":[601,242,414,172,531,359],"intervals":[{"from_index":246,"to_index":504,"sum":97226,"residue":601},{"from_index":504,"to_index":762,"sum":100732,"residue":242},{"from_index":762,"to_index":1020,"sum":105542,"residue":414},{"from_index":1020,"to_index":1278,"sum":100662,"residue":172},{"from_index":1278,"to_index":1536,"sum":97929,"residue":531},{"from_index":1536,"to_index":246,"sum":92346,"residue":359}],"minimal_cycle":[601,242,414,172,531,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[246,504],"circle_positions":773,"cycle_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":[247,505,763,1021,1279,1537],"clock_positions":[247,505,763,1021,1279,1537],"native_values":[304,215,684,469,558,89],"rotation_degrees":57.44186046511628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,215,684,469,558,89],"beta":{"interval_sums":[97149,100661,105548,100739,98000,92340],"interval_residues":[524,171,420,249,602,353],"display_cycle":[524,171,420,249,602,353],"intervals":[{"from_index":247,"to_index":505,"sum":97149,"residue":524},{"from_index":505,"to_index":763,"sum":100661,"residue":171},{"from_index":763,"to_index":1021,"sum":105548,"residue":420},{"from_index":1021,"to_index":1279,"sum":100739,"residue":249},{"from_index":1279,"to_index":1537,"sum":98000,"residue":602},{"from_index":1537,"to_index":247,"sum":92340,"residue":353}],"minimal_cycle":[524,171,420,249,602,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[247,505],"circle_positions":773,"cycle_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":[248,506,764,1022,1280,1538],"clock_positions":[248,506,764,1022,1280,1538],"native_values":[387,442,55,386,331,718],"rotation_degrees":57.674418604651166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,442,55,386,331,718],"beta":{"interval_sums":[96977,100903,105962,100911,97758,91926],"interval_residues":[352,413,61,421,360,712],"display_cycle":[352,413,61,421,360,712],"intervals":[{"from_index":248,"to_index":506,"sum":96977,"residue":352},{"from_index":506,"to_index":764,"sum":100903,"residue":413},{"from_index":764,"to_index":1022,"sum":105962,"residue":61},{"from_index":1022,"to_index":1280,"sum":100911,"residue":421},{"from_index":1280,"to_index":1538,"sum":97758,"residue":360},{"from_index":1538,"to_index":248,"sum":91926,"residue":712}],"minimal_cycle":[352,413,61,421,360,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[248,506],"circle_positions":773,"cycle_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":[249,507,765,1023,1281,1539],"clock_positions":[249,507,765,1023,1281,1539],"native_values":[691,657,739,82,116,34],"rotation_degrees":57.906976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,657,739,82,116,34],"beta":{"interval_sums":[96728,100301,105609,101160,98360,92279],"interval_residues":[103,584,481,670,189,292],"display_cycle":[103,584,481,670,189,292],"intervals":[{"from_index":249,"to_index":507,"sum":96728,"residue":103},{"from_index":507,"to_index":765,"sum":100301,"residue":584},{"from_index":765,"to_index":1023,"sum":105609,"residue":481},{"from_index":1023,"to_index":1281,"sum":101160,"residue":670},{"from_index":1281,"to_index":1539,"sum":98360,"residue":189},{"from_index":1539,"to_index":249,"sum":92279,"residue":292}],"minimal_cycle":[103,584,481,670,189,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":103,"start_interval_clock_positions":[249,507],"circle_positions":773,"cycle_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":[250,508,766,1024,1282,1540],"clock_positions":[250,508,766,1024,1282,1540],"native_values":[305,326,21,468,447,752],"rotation_degrees":58.13953488372093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,326,21,468,447,752],"beta":{"interval_sums":[97080,100714,105670,100808,97947,92218],"interval_residues":[455,224,542,318,549,231],"display_cycle":[455,224,542,318,549,231],"intervals":[{"from_index":250,"to_index":508,"sum":97080,"residue":455},{"from_index":508,"to_index":766,"sum":100714,"residue":224},{"from_index":766,"to_index":1024,"sum":105670,"residue":542},{"from_index":1024,"to_index":1282,"sum":100808,"residue":318},{"from_index":1282,"to_index":1540,"sum":97947,"residue":549},{"from_index":1540,"to_index":250,"sum":92218,"residue":231}],"minimal_cycle":[455,224,542,318,549,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[250,508],"circle_positions":773,"cycle_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":[251,509,767,1025,1283,1541],"clock_positions":[251,509,767,1025,1283,1541],"native_values":[223,210,760,550,563,13],"rotation_degrees":58.372093023255815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,210,760,550,563,13],"beta":{"interval_sums":[97183,100525,105378,100705,98136,92510],"interval_residues":[558,35,250,215,738,523],"display_cycle":[558,35,250,215,738,523],"intervals":[{"from_index":251,"to_index":509,"sum":97183,"residue":558},{"from_index":509,"to_index":767,"sum":100525,"residue":35},{"from_index":767,"to_index":1025,"sum":105378,"residue":250},{"from_index":1025,"to_index":1283,"sum":100705,"residue":215},{"from_index":1283,"to_index":1541,"sum":98136,"residue":738},{"from_index":1541,"to_index":251,"sum":92510,"residue":523}],"minimal_cycle":[558,35,250,215,738,523],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[251,509],"circle_positions":773,"cycle_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":[252,510,768,1026,1284,1542],"clock_positions":[252,510,768,1026,1284,1542],"native_values":[528,536,8,245,237,765],"rotation_degrees":58.604651162790695,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,536,8,245,237,765],"beta":{"interval_sums":[96865,100749,105920,101023,97912,91968],"interval_residues":[240,259,19,533,514,754],"display_cycle":[240,259,19,533,514,754],"intervals":[{"from_index":252,"to_index":510,"sum":96865,"residue":240},{"from_index":510,"to_index":768,"sum":100749,"residue":259},{"from_index":768,"to_index":1026,"sum":105920,"residue":19},{"from_index":1026,"to_index":1284,"sum":101023,"residue":533},{"from_index":1284,"to_index":1542,"sum":97912,"residue":514},{"from_index":1542,"to_index":252,"sum":91968,"residue":754}],"minimal_cycle":[240,259,19,533,514,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[252,510],"circle_positions":773,"cycle_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":[253,511,769,1027,1285,1543],"clock_positions":[253,511,769,1027,1285,1543],"native_values":[751,746,768,22,27,5],"rotation_degrees":58.83720930232558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,746,768,22,27,5],"beta":{"interval_sums":[96650,100011,105397,101238,98650,92491],"interval_residues":[25,294,269,748,479,504],"display_cycle":[25,294,269,748,479,504],"intervals":[{"from_index":253,"to_index":511,"sum":96650,"residue":25},{"from_index":511,"to_index":769,"sum":100011,"residue":294},{"from_index":769,"to_index":1027,"sum":105397,"residue":269},{"from_index":1027,"to_index":1285,"sum":101238,"residue":748},{"from_index":1285,"to_index":1543,"sum":98650,"residue":479},{"from_index":1543,"to_index":253,"sum":92491,"residue":504}],"minimal_cycle":[25,294,269,748,479,504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[253,511],"circle_positions":773,"cycle_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":[254,512,770,1028,1286,1544],"clock_positions":[254,512,770,1028,1286,1544],"native_values":[506,509,3,267,264,770],"rotation_degrees":59.06976744186046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,509,3,267,264,770],"beta":{"interval_sums":[96890,100270,105416,100998,98391,92472],"interval_residues":[265,553,288,508,220,485],"display_cycle":[265,553,288,508,220,485],"intervals":[{"from_index":254,"to_index":512,"sum":96890,"residue":265},{"from_index":512,"to_index":770,"sum":100270,"residue":553},{"from_index":770,"to_index":1028,"sum":105416,"residue":288},{"from_index":1028,"to_index":1286,"sum":100998,"residue":508},{"from_index":1286,"to_index":1544,"sum":98391,"residue":220},{"from_index":1544,"to_index":254,"sum":92472,"residue":485}],"minimal_cycle":[265,553,288,508,220,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[254,512],"circle_positions":773,"cycle_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":[255,513,771,1029,1287,1545],"clock_positions":[255,513,771,1029,1287,1545],"native_values":[484,482,771,289,291,2],"rotation_degrees":59.30232558139535,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[484,482,771,289,291,2],"beta":{"interval_sums":[96915,99791,104912,100973,98870,92976],"interval_residues":[290,74,557,483,699,216],"display_cycle":[290,74,557,483,699,216],"intervals":[{"from_index":255,"to_index":513,"sum":96915,"residue":290},{"from_index":513,"to_index":771,"sum":99791,"residue":74},{"from_index":771,"to_index":1029,"sum":104912,"residue":557},{"from_index":1029,"to_index":1287,"sum":100973,"residue":483},{"from_index":1287,"to_index":1545,"sum":98870,"residue":699},{"from_index":1545,"to_index":255,"sum":92976,"residue":216}],"minimal_cycle":[290,74,557,483,699,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[255,513],"circle_positions":773,"cycle_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":[256,514,772,1030,1288,1546],"clock_positions":[256,514,772,1030,1288,1546],"native_values":[217,218,1,556,555,772],"rotation_degrees":59.53488372093023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,218,1,556,555,772],"beta":{"interval_sums":[97180,100344,105200,100708,98317,92688],"interval_residues":[555,627,72,218,146,701],"display_cycle":[555,627,72,218,146,701],"intervals":[{"from_index":256,"to_index":514,"sum":97180,"residue":555},{"from_index":514,"to_index":772,"sum":100344,"residue":627},{"from_index":772,"to_index":1030,"sum":105200,"residue":72},{"from_index":1030,"to_index":1288,"sum":100708,"residue":218},{"from_index":1288,"to_index":1546,"sum":98317,"residue":146},{"from_index":1546,"to_index":256,"sum":92688,"residue":701}],"minimal_cycle":[555,627,72,218,146,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":555,"start_interval_clock_positions":[256,514],"circle_positions":773,"cycle_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":[257,515,773,1031,1289,1547],"clock_positions":[257,515,773,1031,1289,1547],"native_values":[701,700,772,72,73,1],"rotation_degrees":59.76744186046512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[701,700,772,72,73,1],"beta":{"interval_sums":[96697,99645,104984,101191,99016,92904],"interval_residues":[72,701,629,701,72,144],"display_cycle":[72,701,629,701,72,144],"intervals":[{"from_index":257,"to_index":515,"sum":96697,"residue":72},{"from_index":515,"to_index":773,"sum":99645,"residue":701},{"from_index":773,"to_index":1031,"sum":104984,"residue":629},{"from_index":1031,"to_index":1289,"sum":101191,"residue":701},{"from_index":1289,"to_index":1547,"sum":99016,"residue":72},{"from_index":1547,"to_index":257,"sum":92904,"residue":144}],"minimal_cycle":[72,701,629,701,72,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[257,515],"circle_positions":773,"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":[0,516,1290,774,258,1032,0],"clock_positions":[1548,516,1290,774,258,1032,1548],"native_values":[773,145,628,773,145,628,773],"reduced_m9_values":[9,1,7,9,1,7,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":258,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,258,516,774,1032,1290],"clock_positions":[1548,258,516,774,1032,1290],"native_values":[773,145,145,773,628,628],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1548,"value":773},{"alpha_index":258,"clock_position":258,"value":145},{"alpha_index":516,"clock_position":516,"value":145},{"alpha_index":774,"clock_position":774,"value":773},{"alpha_index":1032,"clock_position":1032,"value":628},{"alpha_index":1290,"clock_position":1290,"value":628}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,259,517,775,1033,1291],"clock_positions":[1,259,517,775,1033,1291],"native_values":[1,73,72,772,700,701],"rotation_degrees":0.23255813953488372,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":259,"clock_position":259,"value":73},{"alpha_index":517,"clock_position":517,"value":72},{"alpha_index":775,"clock_position":775,"value":772},{"alpha_index":1033,"clock_position":1033,"value":700},{"alpha_index":1291,"clock_position":1291,"value":701}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,260,518,776,1034,1292],"clock_positions":[2,260,518,776,1034,1292],"native_values":[1,218,217,772,555,556],"rotation_degrees":0.46511627906976744,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":260,"clock_position":260,"value":218},{"alpha_index":518,"clock_position":518,"value":217},{"alpha_index":776,"clock_position":776,"value":772},{"alpha_index":1034,"clock_position":1034,"value":555},{"alpha_index":1292,"clock_position":1292,"value":556}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,261,519,777,1035,1293],"clock_positions":[3,261,519,777,1035,1293],"native_values":[2,291,289,771,482,484],"rotation_degrees":0.6976744186046512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":261,"clock_position":261,"value":291},{"alpha_index":519,"clock_position":519,"value":289},{"alpha_index":777,"clock_position":777,"value":771},{"alpha_index":1035,"clock_position":1035,"value":482},{"alpha_index":1293,"clock_position":1293,"value":484}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,262,520,778,1036,1294],"clock_positions":[4,262,520,778,1036,1294],"native_values":[3,509,506,770,264,267],"rotation_degrees":0.9302325581395349,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":262,"clock_position":262,"value":509},{"alpha_index":520,"clock_position":520,"value":506},{"alpha_index":778,"clock_position":778,"value":770},{"alpha_index":1036,"clock_position":1036,"value":264},{"alpha_index":1294,"clock_position":1294,"value":267}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,263,521,779,1037,1295],"clock_positions":[5,263,521,779,1037,1295],"native_values":[5,27,22,768,746,751],"rotation_degrees":1.1627906976744187,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":263,"clock_position":263,"value":27},{"alpha_index":521,"clock_position":521,"value":22},{"alpha_index":779,"clock_position":779,"value":768},{"alpha_index":1037,"clock_position":1037,"value":746},{"alpha_index":1295,"clock_position":1295,"value":751}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,264,522,780,1038,1296],"clock_positions":[6,264,522,780,1038,1296],"native_values":[8,536,528,765,237,245],"rotation_degrees":1.3953488372093024,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":264,"clock_position":264,"value":536},{"alpha_index":522,"clock_position":522,"value":528},{"alpha_index":780,"clock_position":780,"value":765},{"alpha_index":1038,"clock_position":1038,"value":237},{"alpha_index":1296,"clock_position":1296,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,265,523,781,1039,1297],"clock_positions":[7,265,523,781,1039,1297],"native_values":[13,563,550,760,210,223],"rotation_degrees":1.627906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":265,"clock_position":265,"value":563},{"alpha_index":523,"clock_position":523,"value":550},{"alpha_index":781,"clock_position":781,"value":760},{"alpha_index":1039,"clock_position":1039,"value":210},{"alpha_index":1297,"clock_position":1297,"value":223}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,266,524,782,1040,1298],"clock_positions":[8,266,524,782,1040,1298],"native_values":[21,326,305,752,447,468],"rotation_degrees":1.8604651162790697,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":266,"clock_position":266,"value":326},{"alpha_index":524,"clock_position":524,"value":305},{"alpha_index":782,"clock_position":782,"value":752},{"alpha_index":1040,"clock_position":1040,"value":447},{"alpha_index":1298,"clock_position":1298,"value":468}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,267,525,783,1041,1299],"clock_positions":[9,267,525,783,1041,1299],"native_values":[34,116,82,739,657,691],"rotation_degrees":2.0930232558139537,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":267,"clock_position":267,"value":116},{"alpha_index":525,"clock_position":525,"value":82},{"alpha_index":783,"clock_position":783,"value":739},{"alpha_index":1041,"clock_position":1041,"value":657},{"alpha_index":1299,"clock_position":1299,"value":691}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,268,526,784,1042,1300],"clock_positions":[10,268,526,784,1042,1300],"native_values":[55,442,387,718,331,386],"rotation_degrees":2.3255813953488373,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":268,"clock_position":268,"value":442},{"alpha_index":526,"clock_position":526,"value":387},{"alpha_index":784,"clock_position":784,"value":718},{"alpha_index":1042,"clock_position":1042,"value":331},{"alpha_index":1300,"clock_position":1300,"value":386}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,269,527,785,1043,1301],"clock_positions":[11,269,527,785,1043,1301],"native_values":[89,558,469,684,215,304],"rotation_degrees":2.558139534883721,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":269,"clock_position":269,"value":558},{"alpha_index":527,"clock_position":527,"value":469},{"alpha_index":785,"clock_position":785,"value":684},{"alpha_index":1043,"clock_position":1043,"value":215},{"alpha_index":1301,"clock_position":1301,"value":304}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,270,528,786,1044,1302],"clock_positions":[12,270,528,786,1044,1302],"native_values":[144,227,83,629,546,690],"rotation_degrees":2.7906976744186047,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":270,"clock_position":270,"value":227},{"alpha_index":528,"clock_position":528,"value":83},{"alpha_index":786,"clock_position":786,"value":629},{"alpha_index":1044,"clock_position":1044,"value":546},{"alpha_index":1302,"clock_position":1302,"value":690}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,271,529,787,1045,1303],"clock_positions":[13,271,529,787,1045,1303],"native_values":[233,12,552,540,761,221],"rotation_degrees":3.0232558139534884,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":271,"clock_position":271,"value":12},{"alpha_index":529,"clock_position":529,"value":552},{"alpha_index":787,"clock_position":787,"value":540},{"alpha_index":1045,"clock_position":1045,"value":761},{"alpha_index":1303,"clock_position":1303,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,272,530,788,1046,1304],"clock_positions":[14,272,530,788,1046,1304],"native_values":[377,239,635,396,534,138],"rotation_degrees":3.255813953488372,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":272,"clock_position":272,"value":239},{"alpha_index":530,"clock_position":530,"value":635},{"alpha_index":788,"clock_position":788,"value":396},{"alpha_index":1046,"clock_position":1046,"value":534},{"alpha_index":1304,"clock_position":1304,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,273,531,789,1047,1305],"clock_positions":[15,273,531,789,1047,1305],"native_values":[610,251,414,163,522,359],"rotation_degrees":3.488372093023256,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":273,"clock_position":273,"value":251},{"alpha_index":531,"clock_position":531,"value":414},{"alpha_index":789,"clock_position":789,"value":163},{"alpha_index":1047,"clock_position":1047,"value":522},{"alpha_index":1305,"clock_position":1305,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,274,532,790,1048,1306],"clock_positions":[16,274,532,790,1048,1306],"native_values":[214,490,276,559,283,497],"rotation_degrees":3.7209302325581395,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":214},{"alpha_index":274,"clock_position":274,"value":490},{"alpha_index":532,"clock_position":532,"value":276},{"alpha_index":790,"clock_position":790,"value":559},{"alpha_index":1048,"clock_position":1048,"value":283},{"alpha_index":1306,"clock_position":1306,"value":497}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,275,533,791,1049,1307],"clock_positions":[17,275,533,791,1049,1307],"native_values":[51,741,690,722,32,83],"rotation_degrees":3.953488372093023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":51},{"alpha_index":275,"clock_position":275,"value":741},{"alpha_index":533,"clock_position":533,"value":690},{"alpha_index":791,"clock_position":791,"value":722},{"alpha_index":1049,"clock_position":1049,"value":32},{"alpha_index":1307,"clock_position":1307,"value":83}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,276,534,792,1050,1308],"clock_positions":[18,276,534,792,1050,1308],"native_values":[265,458,193,508,315,580],"rotation_degrees":4.186046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":265},{"alpha_index":276,"clock_position":276,"value":458},{"alpha_index":534,"clock_position":534,"value":193},{"alpha_index":792,"clock_position":792,"value":508},{"alpha_index":1050,"clock_position":1050,"value":315},{"alpha_index":1308,"clock_position":1308,"value":580}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,277,535,793,1051,1309],"clock_positions":[19,277,535,793,1051,1309],"native_values":[316,426,110,457,347,663],"rotation_degrees":4.4186046511627906,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":316},{"alpha_index":277,"clock_position":277,"value":426},{"alpha_index":535,"clock_position":535,"value":110},{"alpha_index":793,"clock_position":793,"value":457},{"alpha_index":1051,"clock_position":1051,"value":347},{"alpha_index":1309,"clock_position":1309,"value":663}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,278,536,794,1052,1310],"clock_positions":[20,278,536,794,1052,1310],"native_values":[581,111,303,192,662,470],"rotation_degrees":4.651162790697675,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":581},{"alpha_index":278,"clock_position":278,"value":111},{"alpha_index":536,"clock_position":536,"value":303},{"alpha_index":794,"clock_position":794,"value":192},{"alpha_index":1052,"clock_position":1052,"value":662},{"alpha_index":1310,"clock_position":1310,"value":470}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,279,537,795,1053,1311],"clock_positions":[21,279,537,795,1053,1311],"native_values":[124,537,413,649,236,360],"rotation_degrees":4.883720930232558,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":124},{"alpha_index":279,"clock_position":279,"value":537},{"alpha_index":537,"clock_position":537,"value":413},{"alpha_index":795,"clock_position":795,"value":649},{"alpha_index":1053,"clock_position":1053,"value":236},{"alpha_index":1311,"clock_position":1311,"value":360}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,280,538,796,1054,1312],"clock_positions":[22,280,538,796,1054,1312],"native_values":[705,648,716,68,125,57],"rotation_degrees":5.116279069767442,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":705},{"alpha_index":280,"clock_position":280,"value":648},{"alpha_index":538,"clock_position":538,"value":716},{"alpha_index":796,"clock_position":796,"value":68},{"alpha_index":1054,"clock_position":1054,"value":125},{"alpha_index":1312,"clock_position":1312,"value":57}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,281,539,797,1055,1313],"clock_positions":[23,281,539,797,1055,1313],"native_values":[56,412,356,717,361,417],"rotation_degrees":5.348837209302325,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":56},{"alpha_index":281,"clock_position":281,"value":412},{"alpha_index":539,"clock_position":539,"value":356},{"alpha_index":797,"clock_position":797,"value":717},{"alpha_index":1055,"clock_position":1055,"value":361},{"alpha_index":1313,"clock_position":1313,"value":417}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,282,540,798,1056,1314],"clock_positions":[24,282,540,798,1056,1314],"native_values":[761,287,299,12,486,474],"rotation_degrees":5.5813953488372094,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":761},{"alpha_index":282,"clock_position":282,"value":287},{"alpha_index":540,"clock_position":540,"value":299},{"alpha_index":798,"clock_position":798,"value":12},{"alpha_index":1056,"clock_position":1056,"value":486},{"alpha_index":1314,"clock_position":1314,"value":474}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,283,541,799,1057,1315],"clock_positions":[25,283,541,799,1057,1315],"native_values":[44,699,655,729,74,118],"rotation_degrees":5.813953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":44},{"alpha_index":283,"clock_position":283,"value":699},{"alpha_index":541,"clock_position":541,"value":655},{"alpha_index":799,"clock_position":799,"value":729},{"alpha_index":1057,"clock_position":1057,"value":74},{"alpha_index":1315,"clock_position":1315,"value":118}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,284,542,800,1058,1316],"clock_positions":[26,284,542,800,1058,1316],"native_values":[32,213,181,741,560,592],"rotation_degrees":6.046511627906977,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":32},{"alpha_index":284,"clock_position":284,"value":213},{"alpha_index":542,"clock_position":542,"value":181},{"alpha_index":800,"clock_position":800,"value":741},{"alpha_index":1058,"clock_position":1058,"value":560},{"alpha_index":1316,"clock_position":1316,"value":592}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,285,543,801,1059,1317],"clock_positions":[27,285,543,801,1059,1317],"native_values":[76,139,63,697,634,710],"rotation_degrees":6.27906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":76},{"alpha_index":285,"clock_position":285,"value":139},{"alpha_index":543,"clock_position":543,"value":63},{"alpha_index":801,"clock_position":801,"value":697},{"alpha_index":1059,"clock_position":1059,"value":634},{"alpha_index":1317,"clock_position":1317,"value":710}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,286,544,802,1060,1318],"clock_positions":[28,286,544,802,1060,1318],"native_values":[108,352,244,665,421,529],"rotation_degrees":6.511627906976744,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":108},{"alpha_index":286,"clock_position":286,"value":352},{"alpha_index":544,"clock_position":544,"value":244},{"alpha_index":802,"clock_position":802,"value":665},{"alpha_index":1060,"clock_position":1060,"value":421},{"alpha_index":1318,"clock_position":1318,"value":529}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,287,545,803,1061,1319],"clock_positions":[29,287,545,803,1061,1319],"native_values":[184,491,307,589,282,466],"rotation_degrees":6.744186046511628,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":184},{"alpha_index":287,"clock_position":287,"value":491},{"alpha_index":545,"clock_position":545,"value":307},{"alpha_index":803,"clock_position":803,"value":589},{"alpha_index":1061,"clock_position":1061,"value":282},{"alpha_index":1319,"clock_position":1319,"value":466}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,288,546,804,1062,1320],"clock_positions":[30,288,546,804,1062,1320],"native_values":[292,70,551,481,703,222],"rotation_degrees":6.976744186046512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":292},{"alpha_index":288,"clock_position":288,"value":70},{"alpha_index":546,"clock_position":546,"value":551},{"alpha_index":804,"clock_position":804,"value":481},{"alpha_index":1062,"clock_position":1062,"value":703},{"alpha_index":1320,"clock_position":1320,"value":222}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,289,547,805,1063,1321],"clock_positions":[31,289,547,805,1063,1321],"native_values":[476,561,85,297,212,688],"rotation_degrees":7.209302325581396,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":476},{"alpha_index":289,"clock_position":289,"value":561},{"alpha_index":547,"clock_position":547,"value":85},{"alpha_index":805,"clock_position":805,"value":297},{"alpha_index":1063,"clock_position":1063,"value":212},{"alpha_index":1321,"clock_position":1321,"value":688}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,290,548,806,1064,1322],"clock_positions":[32,290,548,806,1064,1322],"native_values":[768,631,636,5,142,137],"rotation_degrees":7.441860465116279,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":768},{"alpha_index":290,"clock_position":290,"value":631},{"alpha_index":548,"clock_position":548,"value":636},{"alpha_index":806,"clock_position":806,"value":5},{"alpha_index":1064,"clock_position":1064,"value":142},{"alpha_index":1322,"clock_position":1322,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,291,549,807,1065,1323],"clock_positions":[33,291,549,807,1065,1323],"native_values":[471,419,721,302,354,52],"rotation_degrees":7.674418604651163,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":471},{"alpha_index":291,"clock_position":291,"value":419},{"alpha_index":549,"clock_position":549,"value":721},{"alpha_index":807,"clock_position":807,"value":302},{"alpha_index":1065,"clock_position":1065,"value":354},{"alpha_index":1323,"clock_position":1323,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,292,550,808,1066,1324],"clock_positions":[34,292,550,808,1066,1324],"native_values":[466,277,584,307,496,189],"rotation_degrees":7.906976744186046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":466},{"alpha_index":292,"clock_position":292,"value":277},{"alpha_index":550,"clock_position":550,"value":584},{"alpha_index":808,"clock_position":808,"value":307},{"alpha_index":1066,"clock_position":1066,"value":496},{"alpha_index":1324,"clock_position":1324,"value":189}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,293,551,809,1067,1325],"clock_positions":[35,293,551,809,1067,1325],"native_values":[164,696,532,609,77,241],"rotation_degrees":8.13953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":164},{"alpha_index":293,"clock_position":293,"value":696},{"alpha_index":551,"clock_position":551,"value":532},{"alpha_index":809,"clock_position":809,"value":609},{"alpha_index":1067,"clock_position":1067,"value":77},{"alpha_index":1325,"clock_position":1325,"value":241}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,294,552,810,1068,1326],"clock_positions":[36,294,552,810,1068,1326],"native_values":[630,200,343,143,573,430],"rotation_degrees":8.372093023255815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":630},{"alpha_index":294,"clock_position":294,"value":200},{"alpha_index":552,"clock_position":552,"value":343},{"alpha_index":810,"clock_position":810,"value":143},{"alpha_index":1068,"clock_position":1068,"value":573},{"alpha_index":1326,"clock_position":1326,"value":430}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,295,553,811,1069,1327],"clock_positions":[37,295,553,811,1069,1327],"native_values":[21,123,102,752,650,671],"rotation_degrees":8.604651162790697,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":21},{"alpha_index":295,"clock_position":295,"value":123},{"alpha_index":553,"clock_position":553,"value":102},{"alpha_index":811,"clock_position":811,"value":752},{"alpha_index":1069,"clock_position":1069,"value":650},{"alpha_index":1327,"clock_position":1327,"value":671}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,296,554,812,1070,1328],"clock_positions":[38,296,554,812,1070,1328],"native_values":[651,323,445,122,450,328],"rotation_degrees":8.837209302325581,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":651},{"alpha_index":296,"clock_position":296,"value":323},{"alpha_index":554,"clock_position":554,"value":445},{"alpha_index":812,"clock_position":812,"value":122},{"alpha_index":1070,"clock_position":1070,"value":450},{"alpha_index":1328,"clock_position":1328,"value":328}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,297,555,813,1071,1329],"clock_positions":[39,297,555,813,1071,1329],"native_values":[672,446,547,101,327,226],"rotation_degrees":9.069767441860465,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":672},{"alpha_index":297,"clock_position":297,"value":446},{"alpha_index":555,"clock_position":555,"value":547},{"alpha_index":813,"clock_position":813,"value":101},{"alpha_index":1071,"clock_position":1071,"value":327},{"alpha_index":1329,"clock_position":1329,"value":226}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,298,556,814,1072,1330],"clock_positions":[40,298,556,814,1072,1330],"native_values":[550,769,219,223,4,554],"rotation_degrees":9.30232558139535,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":550},{"alpha_index":298,"clock_position":298,"value":769},{"alpha_index":556,"clock_position":556,"value":219},{"alpha_index":814,"clock_position":814,"value":223},{"alpha_index":1072,"clock_position":1072,"value":4},{"alpha_index":1330,"clock_position":1330,"value":554}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,299,557,815,1073,1331],"clock_positions":[41,299,557,815,1073,1331],"native_values":[449,442,766,324,331,7],"rotation_degrees":9.534883720930232,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":449},{"alpha_index":299,"clock_position":299,"value":442},{"alpha_index":557,"clock_position":557,"value":766},{"alpha_index":815,"clock_position":815,"value":324},{"alpha_index":1073,"clock_position":1073,"value":331},{"alpha_index":1331,"clock_position":1331,"value":7}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,300,558,816,1074,1332],"clock_positions":[42,300,558,816,1074,1332],"native_values":[226,438,212,547,335,561],"rotation_degrees":9.767441860465116,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":226},{"alpha_index":300,"clock_position":300,"value":438},{"alpha_index":558,"clock_position":558,"value":212},{"alpha_index":816,"clock_position":816,"value":547},{"alpha_index":1074,"clock_position":1074,"value":335},{"alpha_index":1332,"clock_position":1332,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,301,559,817,1075,1333],"clock_positions":[43,301,559,817,1075,1333],"native_values":[675,107,205,98,666,568],"rotation_degrees":10.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":675},{"alpha_index":301,"clock_position":301,"value":107},{"alpha_index":559,"clock_position":559,"value":205},{"alpha_index":817,"clock_position":817,"value":98},{"alpha_index":1075,"clock_position":1075,"value":666},{"alpha_index":1333,"clock_position":1333,"value":568}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,302,560,818,1076,1334],"clock_positions":[44,302,560,818,1076,1334],"native_values":[128,545,417,645,228,356],"rotation_degrees":10.232558139534884,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":128},{"alpha_index":302,"clock_position":302,"value":545},{"alpha_index":560,"clock_position":560,"value":417},{"alpha_index":818,"clock_position":818,"value":645},{"alpha_index":1076,"clock_position":1076,"value":228},{"alpha_index":1334,"clock_position":1334,"value":356}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,303,561,819,1077,1335],"clock_positions":[45,303,561,819,1077,1335],"native_values":[30,652,622,743,121,151],"rotation_degrees":10.465116279069768,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":30},{"alpha_index":303,"clock_position":303,"value":652},{"alpha_index":561,"clock_position":561,"value":622},{"alpha_index":819,"clock_position":819,"value":743},{"alpha_index":1077,"clock_position":1077,"value":121},{"alpha_index":1335,"clock_position":1335,"value":151}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,304,562,820,1078,1336],"clock_positions":[46,304,562,820,1078,1336],"native_values":[158,424,266,615,349,507],"rotation_degrees":10.69767441860465,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":158},{"alpha_index":304,"clock_position":304,"value":424},{"alpha_index":562,"clock_position":562,"value":266},{"alpha_index":820,"clock_position":820,"value":615},{"alpha_index":1078,"clock_position":1078,"value":349},{"alpha_index":1336,"clock_position":1336,"value":507}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,305,563,821,1079,1337],"clock_positions":[47,305,563,821,1079,1337],"native_values":[188,303,115,585,470,658],"rotation_degrees":10.930232558139535,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":188},{"alpha_index":305,"clock_position":305,"value":303},{"alpha_index":563,"clock_position":563,"value":115},{"alpha_index":821,"clock_position":821,"value":585},{"alpha_index":1079,"clock_position":1079,"value":470},{"alpha_index":1337,"clock_position":1337,"value":658}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,306,564,822,1080,1338],"clock_positions":[48,306,564,822,1080,1338],"native_values":[346,727,381,427,46,392],"rotation_degrees":11.162790697674419,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":346},{"alpha_index":306,"clock_position":306,"value":727},{"alpha_index":564,"clock_position":564,"value":381},{"alpha_index":822,"clock_position":822,"value":427},{"alpha_index":1080,"clock_position":1080,"value":46},{"alpha_index":1338,"clock_position":1338,"value":392}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,307,565,823,1081,1339],"clock_positions":[49,307,565,823,1081,1339],"native_values":[534,257,496,239,516,277],"rotation_degrees":11.395348837209303,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":534},{"alpha_index":307,"clock_position":307,"value":257},{"alpha_index":565,"clock_position":565,"value":496},{"alpha_index":823,"clock_position":823,"value":239},{"alpha_index":1081,"clock_position":1081,"value":516},{"alpha_index":1339,"clock_position":1339,"value":277}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,308,566,824,1082,1340],"clock_positions":[50,308,566,824,1082,1340],"native_values":[107,211,104,666,562,669],"rotation_degrees":11.627906976744185,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":107},{"alpha_index":308,"clock_position":308,"value":211},{"alpha_index":566,"clock_position":566,"value":104},{"alpha_index":824,"clock_position":824,"value":666},{"alpha_index":1082,"clock_position":1082,"value":562},{"alpha_index":1340,"clock_position":1340,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,309,567,825,1083,1341],"clock_positions":[51,309,567,825,1083,1341],"native_values":[641,468,600,132,305,173],"rotation_degrees":11.86046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":641},{"alpha_index":309,"clock_position":309,"value":468},{"alpha_index":567,"clock_position":567,"value":600},{"alpha_index":825,"clock_position":825,"value":132},{"alpha_index":1083,"clock_position":1083,"value":305},{"alpha_index":1341,"clock_position":1341,"value":173}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,310,568,826,1084,1342],"clock_positions":[52,310,568,826,1084,1342],"native_values":[748,679,704,25,94,69],"rotation_degrees":12.093023255813954,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":748},{"alpha_index":310,"clock_position":310,"value":679},{"alpha_index":568,"clock_position":568,"value":704},{"alpha_index":826,"clock_position":826,"value":25},{"alpha_index":1084,"clock_position":1084,"value":94},{"alpha_index":1342,"clock_position":1342,"value":69}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,311,569,827,1085,1343],"clock_positions":[53,311,569,827,1085,1343],"native_values":[616,374,531,157,399,242],"rotation_degrees":12.325581395348838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":616},{"alpha_index":311,"clock_position":311,"value":374},{"alpha_index":569,"clock_position":569,"value":531},{"alpha_index":827,"clock_position":827,"value":157},{"alpha_index":1085,"clock_position":1085,"value":399},{"alpha_index":1343,"clock_position":1343,"value":242}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,312,570,828,1086,1344],"clock_positions":[54,312,570,828,1086,1344],"native_values":[591,280,462,182,493,311],"rotation_degrees":12.55813953488372,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":591},{"alpha_index":312,"clock_position":312,"value":280},{"alpha_index":570,"clock_position":570,"value":462},{"alpha_index":828,"clock_position":828,"value":182},{"alpha_index":1086,"clock_position":1086,"value":493},{"alpha_index":1344,"clock_position":1344,"value":311}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,313,571,829,1087,1345],"clock_positions":[55,313,571,829,1087,1345],"native_values":[434,654,220,339,119,553],"rotation_degrees":12.790697674418604,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":434},{"alpha_index":313,"clock_position":313,"value":654},{"alpha_index":571,"clock_position":571,"value":220},{"alpha_index":829,"clock_position":829,"value":339},{"alpha_index":1087,"clock_position":1087,"value":119},{"alpha_index":1345,"clock_position":1345,"value":553}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,314,572,830,1088,1346],"clock_positions":[56,314,572,830,1088,1346],"native_values":[252,161,682,521,612,91],"rotation_degrees":13.023255813953488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":252},{"alpha_index":314,"clock_position":314,"value":161},{"alpha_index":572,"clock_position":572,"value":682},{"alpha_index":830,"clock_position":830,"value":521},{"alpha_index":1088,"clock_position":1088,"value":612},{"alpha_index":1346,"clock_position":1346,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,315,573,831,1089,1347],"clock_positions":[57,315,573,831,1089,1347],"native_values":[686,42,129,87,731,644],"rotation_degrees":13.255813953488373,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":686},{"alpha_index":315,"clock_position":315,"value":42},{"alpha_index":573,"clock_position":573,"value":129},{"alpha_index":831,"clock_position":831,"value":87},{"alpha_index":1089,"clock_position":1089,"value":731},{"alpha_index":1347,"clock_position":1347,"value":644}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,316,574,832,1090,1348],"clock_positions":[58,316,574,832,1090,1348],"native_values":[165,203,38,608,570,735],"rotation_degrees":13.488372093023257,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":165},{"alpha_index":316,"clock_position":316,"value":203},{"alpha_index":574,"clock_position":574,"value":38},{"alpha_index":832,"clock_position":832,"value":608},{"alpha_index":1090,"clock_position":1090,"value":570},{"alpha_index":1348,"clock_position":1348,"value":735}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,317,575,833,1091,1349],"clock_positions":[59,317,575,833,1091,1349],"native_values":[78,245,167,695,528,606],"rotation_degrees":13.720930232558139,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":78},{"alpha_index":317,"clock_position":317,"value":245},{"alpha_index":575,"clock_position":575,"value":167},{"alpha_index":833,"clock_position":833,"value":695},{"alpha_index":1091,"clock_position":1091,"value":528},{"alpha_index":1349,"clock_position":1349,"value":606}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,318,576,834,1092,1350],"clock_positions":[60,318,576,834,1092,1350],"native_values":[243,448,205,530,325,568],"rotation_degrees":13.953488372093023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":243},{"alpha_index":318,"clock_position":318,"value":448},{"alpha_index":576,"clock_position":576,"value":205},{"alpha_index":834,"clock_position":834,"value":530},{"alpha_index":1092,"clock_position":1092,"value":325},{"alpha_index":1350,"clock_position":1350,"value":568}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,319,577,835,1093,1351],"clock_positions":[61,319,577,835,1093,1351],"native_values":[321,693,372,452,80,401],"rotation_degrees":14.186046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":321},{"alpha_index":319,"clock_position":319,"value":693},{"alpha_index":577,"clock_position":577,"value":372},{"alpha_index":835,"clock_position":835,"value":452},{"alpha_index":1093,"clock_position":1093,"value":80},{"alpha_index":1351,"clock_position":1351,"value":401}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,320,578,836,1094,1352],"clock_positions":[62,320,578,836,1094,1352],"native_values":[564,368,577,209,405,196],"rotation_degrees":14.418604651162791,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":564},{"alpha_index":320,"clock_position":320,"value":368},{"alpha_index":578,"clock_position":578,"value":577},{"alpha_index":836,"clock_position":836,"value":209},{"alpha_index":1094,"clock_position":1094,"value":405},{"alpha_index":1352,"clock_position":1352,"value":196}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,321,579,837,1095,1353],"clock_positions":[63,321,579,837,1095,1353],"native_values":[112,288,176,661,485,597],"rotation_degrees":14.651162790697674,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":112},{"alpha_index":321,"clock_position":321,"value":288},{"alpha_index":579,"clock_position":579,"value":176},{"alpha_index":837,"clock_position":837,"value":661},{"alpha_index":1095,"clock_position":1095,"value":485},{"alpha_index":1353,"clock_position":1353,"value":597}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,322,580,838,1096,1354],"clock_positions":[64,322,580,838,1096,1354],"native_values":[676,656,753,97,117,20],"rotation_degrees":14.883720930232558,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":676},{"alpha_index":322,"clock_position":322,"value":656},{"alpha_index":580,"clock_position":580,"value":753},{"alpha_index":838,"clock_position":838,"value":97},{"alpha_index":1096,"clock_position":1096,"value":117},{"alpha_index":1354,"clock_position":1354,"value":20}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,323,581,839,1097,1355],"clock_positions":[65,323,581,839,1097,1355],"native_values":[15,171,156,758,602,617],"rotation_degrees":15.116279069767442,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":15},{"alpha_index":323,"clock_position":323,"value":171},{"alpha_index":581,"clock_position":581,"value":156},{"alpha_index":839,"clock_position":839,"value":758},{"alpha_index":1097,"clock_position":1097,"value":602},{"alpha_index":1355,"clock_position":1355,"value":617}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,324,582,840,1098,1356],"clock_positions":[66,324,582,840,1098,1356],"native_values":[691,54,136,82,719,637],"rotation_degrees":15.348837209302326,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":691},{"alpha_index":324,"clock_position":324,"value":54},{"alpha_index":582,"clock_position":582,"value":136},{"alpha_index":840,"clock_position":840,"value":82},{"alpha_index":1098,"clock_position":1098,"value":719},{"alpha_index":1356,"clock_position":1356,"value":637}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,325,583,841,1099,1357],"clock_positions":[67,325,583,841,1099,1357],"native_values":[706,225,292,67,548,481],"rotation_degrees":15.581395348837209,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":706},{"alpha_index":325,"clock_position":325,"value":225},{"alpha_index":583,"clock_position":583,"value":292},{"alpha_index":841,"clock_position":841,"value":67},{"alpha_index":1099,"clock_position":1099,"value":548},{"alpha_index":1357,"clock_position":1357,"value":481}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,326,584,842,1100,1358],"clock_positions":[68,326,584,842,1100,1358],"native_values":[624,279,428,149,494,345],"rotation_degrees":15.813953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":624},{"alpha_index":326,"clock_position":326,"value":279},{"alpha_index":584,"clock_position":584,"value":428},{"alpha_index":842,"clock_position":842,"value":149},{"alpha_index":1100,"clock_position":1100,"value":494},{"alpha_index":1358,"clock_position":1358,"value":345}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,327,585,843,1101,1359],"clock_positions":[69,327,585,843,1101,1359],"native_values":[557,504,720,216,269,53],"rotation_degrees":16.046511627906977,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":557},{"alpha_index":327,"clock_position":327,"value":504},{"alpha_index":585,"clock_position":585,"value":720},{"alpha_index":843,"clock_position":843,"value":216},{"alpha_index":1101,"clock_position":1101,"value":269},{"alpha_index":1359,"clock_position":1359,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,328,586,844,1102,1360],"clock_positions":[70,328,586,844,1102,1360],"native_values":[408,10,375,365,763,398],"rotation_degrees":16.27906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":408},{"alpha_index":328,"clock_position":328,"value":10},{"alpha_index":586,"clock_position":586,"value":375},{"alpha_index":844,"clock_position":844,"value":365},{"alpha_index":1102,"clock_position":1102,"value":763},{"alpha_index":1360,"clock_position":1360,"value":398}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,329,587,845,1103,1361],"clock_positions":[71,329,587,845,1103,1361],"native_values":[192,514,322,581,259,451],"rotation_degrees":16.511627906976745,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":192},{"alpha_index":329,"clock_position":329,"value":514},{"alpha_index":587,"clock_position":587,"value":322},{"alpha_index":845,"clock_position":845,"value":581},{"alpha_index":1103,"clock_position":1103,"value":259},{"alpha_index":1361,"clock_position":1361,"value":451}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,330,588,846,1104,1362],"clock_positions":[72,330,588,846,1104,1362],"native_values":[600,524,697,173,249,76],"rotation_degrees":16.74418604651163,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":600},{"alpha_index":330,"clock_position":330,"value":524},{"alpha_index":588,"clock_position":588,"value":697},{"alpha_index":846,"clock_position":846,"value":173},{"alpha_index":1104,"clock_position":1104,"value":249},{"alpha_index":1362,"clock_position":1362,"value":76}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,331,589,847,1105,1363],"clock_positions":[73,331,589,847,1105,1363],"native_values":[19,265,246,754,508,527],"rotation_degrees":16.976744186046513,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":19},{"alpha_index":331,"clock_position":331,"value":265},{"alpha_index":589,"clock_position":589,"value":246},{"alpha_index":847,"clock_position":847,"value":754},{"alpha_index":1105,"clock_position":1105,"value":508},{"alpha_index":1363,"clock_position":1363,"value":527}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,332,590,848,1106,1364],"clock_positions":[74,332,590,848,1106,1364],"native_values":[619,16,170,154,757,603],"rotation_degrees":17.209302325581394,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":619},{"alpha_index":332,"clock_position":332,"value":16},{"alpha_index":590,"clock_position":590,"value":170},{"alpha_index":848,"clock_position":848,"value":154},{"alpha_index":1106,"clock_position":1106,"value":757},{"alpha_index":1364,"clock_position":1364,"value":603}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,333,591,849,1107,1365],"clock_positions":[75,333,591,849,1107,1365],"native_values":[638,281,416,135,492,357],"rotation_degrees":17.441860465116278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":638},{"alpha_index":333,"clock_position":333,"value":281},{"alpha_index":591,"clock_position":591,"value":416},{"alpha_index":849,"clock_position":849,"value":135},{"alpha_index":1107,"clock_position":1107,"value":492},{"alpha_index":1365,"clock_position":1365,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,334,592,850,1108,1366],"clock_positions":[76,334,592,850,1108,1366],"native_values":[484,297,586,289,476,187],"rotation_degrees":17.674418604651162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":484},{"alpha_index":334,"clock_position":334,"value":297},{"alpha_index":592,"clock_position":592,"value":586},{"alpha_index":850,"clock_position":850,"value":289},{"alpha_index":1108,"clock_position":1108,"value":476},{"alpha_index":1366,"clock_position":1366,"value":187}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,335,593,851,1109,1367],"clock_positions":[77,335,593,851,1109,1367],"native_values":[349,578,229,424,195,544],"rotation_degrees":17.906976744186046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":349},{"alpha_index":335,"clock_position":335,"value":578},{"alpha_index":593,"clock_position":593,"value":229},{"alpha_index":851,"clock_position":851,"value":424},{"alpha_index":1109,"clock_position":1109,"value":195},{"alpha_index":1367,"clock_position":1367,"value":544}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,336,594,852,1110,1368],"clock_positions":[78,336,594,852,1110,1368],"native_values":[60,102,42,713,671,731],"rotation_degrees":18.13953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":60},{"alpha_index":336,"clock_position":336,"value":102},{"alpha_index":594,"clock_position":594,"value":42},{"alpha_index":852,"clock_position":852,"value":713},{"alpha_index":1110,"clock_position":1110,"value":671},{"alpha_index":1368,"clock_position":1368,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,337,595,853,1111,1369],"clock_positions":[79,337,595,853,1111,1369],"native_values":[409,680,271,364,93,502],"rotation_degrees":18.372093023255815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":409},{"alpha_index":337,"clock_position":337,"value":680},{"alpha_index":595,"clock_position":595,"value":271},{"alpha_index":853,"clock_position":853,"value":364},{"alpha_index":1111,"clock_position":1111,"value":93},{"alpha_index":1369,"clock_position":1369,"value":502}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,338,596,854,1112,1370],"clock_positions":[80,338,596,854,1112,1370],"native_values":[469,9,313,304,764,460],"rotation_degrees":18.6046511627907,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":469},{"alpha_index":596,"clock_position":596,"value":313},{"alpha_index":854,"clock_position":854,"value":304},{"alpha_index":1112,"clock_position":1112,"value":764},{"alpha_index":1370,"clock_position":1370,"value":460}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,339,597,855,1113,1371],"clock_positions":[81,339,597,855,1113,1371],"native_values":[105,689,584,668,84,189],"rotation_degrees":18.837209302325583,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":105},{"alpha_index":339,"clock_position":339,"value":689},{"alpha_index":597,"clock_position":597,"value":584},{"alpha_index":855,"clock_position":855,"value":668},{"alpha_index":1113,"clock_position":1113,"value":84},{"alpha_index":1371,"clock_position":1371,"value":189}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,340,598,856,1114,1372],"clock_positions":[82,340,598,856,1114,1372],"native_values":[574,698,124,199,75,649],"rotation_degrees":19.069767441860463,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":574},{"alpha_index":340,"clock_position":340,"value":698},{"alpha_index":598,"clock_position":598,"value":124},{"alpha_index":856,"clock_position":856,"value":199},{"alpha_index":1114,"clock_position":1114,"value":75},{"alpha_index":1372,"clock_position":1372,"value":649}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,341,599,857,1115,1373],"clock_positions":[83,341,599,857,1115,1373],"native_values":[679,614,708,94,159,65],"rotation_degrees":19.302325581395348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":679},{"alpha_index":341,"clock_position":341,"value":614},{"alpha_index":599,"clock_position":599,"value":708},{"alpha_index":857,"clock_position":857,"value":94},{"alpha_index":1115,"clock_position":1115,"value":159},{"alpha_index":1373,"clock_position":1373,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,342,600,858,1116,1374],"clock_positions":[84,342,600,858,1116,1374],"native_values":[480,539,59,293,234,714],"rotation_degrees":19.53488372093023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":480},{"alpha_index":342,"clock_position":342,"value":539},{"alpha_index":600,"clock_position":600,"value":59},{"alpha_index":858,"clock_position":858,"value":293},{"alpha_index":1116,"clock_position":1116,"value":234},{"alpha_index":1374,"clock_position":1374,"value":714}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,343,601,859,1117,1375],"clock_positions":[85,343,601,859,1117,1375],"native_values":[386,380,767,387,393,6],"rotation_degrees":19.767441860465116,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":386},{"alpha_index":343,"clock_position":343,"value":380},{"alpha_index":601,"clock_position":601,"value":767},{"alpha_index":859,"clock_position":859,"value":387},{"alpha_index":1117,"clock_position":1117,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,344,602,860,1118,1376],"clock_positions":[86,344,602,860,1118,1376],"native_values":[93,146,53,680,627,720],"rotation_degrees":20.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":93},{"alpha_index":344,"clock_position":344,"value":146},{"alpha_index":602,"clock_position":602,"value":53},{"alpha_index":860,"clock_position":860,"value":680},{"alpha_index":1118,"clock_position":1118,"value":627},{"alpha_index":1376,"clock_position":1376,"value":720}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,345,603,861,1119,1377],"clock_positions":[87,345,603,861,1119,1377],"native_values":[479,526,47,294,247,726],"rotation_degrees":20.232558139534884,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":479},{"alpha_index":345,"clock_position":345,"value":526},{"alpha_index":603,"clock_position":603,"value":47},{"alpha_index":861,"clock_position":861,"value":294},{"alpha_index":1119,"clock_position":1119,"value":247},{"alpha_index":1377,"clock_position":1377,"value":726}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,346,604,862,1120,1378],"clock_positions":[88,346,604,862,1120,1378],"native_values":[572,672,100,201,101,673],"rotation_degrees":20.46511627906977,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":572},{"alpha_index":346,"clock_position":346,"value":672},{"alpha_index":604,"clock_position":604,"value":100},{"alpha_index":862,"clock_position":862,"value":201},{"alpha_index":1120,"clock_position":1120,"value":101},{"alpha_index":1378,"clock_position":1378,"value":673}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,347,605,863,1121,1379],"clock_positions":[89,347,605,863,1121,1379],"native_values":[278,425,147,495,348,626],"rotation_degrees":20.697674418604652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":278},{"alpha_index":347,"clock_position":347,"value":425},{"alpha_index":605,"clock_position":605,"value":147},{"alpha_index":863,"clock_position":863,"value":495},{"alpha_index":1121,"clock_position":1121,"value":348},{"alpha_index":1379,"clock_position":1379,"value":626}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,348,606,864,1122,1380],"clock_positions":[90,348,606,864,1122,1380],"native_values":[77,324,247,696,449,526],"rotation_degrees":20.930232558139537,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":77},{"alpha_index":348,"clock_position":348,"value":324},{"alpha_index":606,"clock_position":606,"value":247},{"alpha_index":864,"clock_position":864,"value":696},{"alpha_index":1122,"clock_position":1122,"value":449},{"alpha_index":1380,"clock_position":1380,"value":526}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,349,607,865,1123,1381],"clock_positions":[91,349,607,865,1123,1381],"native_values":[355,749,394,418,24,379],"rotation_degrees":21.162790697674417,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":355},{"alpha_index":349,"clock_position":349,"value":749},{"alpha_index":607,"clock_position":607,"value":394},{"alpha_index":865,"clock_position":865,"value":418},{"alpha_index":1123,"clock_position":1123,"value":24},{"alpha_index":1381,"clock_position":1381,"value":379}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,350,608,866,1124,1382],"clock_positions":[92,350,608,866,1124,1382],"native_values":[432,300,641,341,473,132],"rotation_degrees":21.3953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":432},{"alpha_index":350,"clock_position":350,"value":300},{"alpha_index":608,"clock_position":608,"value":641},{"alpha_index":866,"clock_position":866,"value":341},{"alpha_index":1124,"clock_position":1124,"value":473},{"alpha_index":1382,"clock_position":1382,"value":132}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,351,609,867,1125,1383],"clock_positions":[93,351,609,867,1125,1383],"native_values":[14,276,262,759,497,511],"rotation_degrees":21.627906976744185,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":14},{"alpha_index":351,"clock_position":351,"value":276},{"alpha_index":609,"clock_position":609,"value":262},{"alpha_index":867,"clock_position":867,"value":759},{"alpha_index":1125,"clock_position":1125,"value":497},{"alpha_index":1383,"clock_position":1383,"value":511}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,352,610,868,1126,1384],"clock_positions":[94,352,610,868,1126,1384],"native_values":[446,576,130,327,197,643],"rotation_degrees":21.86046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":446},{"alpha_index":352,"clock_position":352,"value":576},{"alpha_index":610,"clock_position":610,"value":130},{"alpha_index":868,"clock_position":868,"value":327},{"alpha_index":1126,"clock_position":1126,"value":197},{"alpha_index":1384,"clock_position":1384,"value":643}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,353,611,869,1127,1385],"clock_positions":[95,353,611,869,1127,1385],"native_values":[460,79,392,313,694,381],"rotation_degrees":22.093023255813954,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":460},{"alpha_index":353,"clock_position":353,"value":79},{"alpha_index":611,"clock_position":611,"value":392},{"alpha_index":869,"clock_position":869,"value":313},{"alpha_index":1127,"clock_position":1127,"value":694},{"alpha_index":1385,"clock_position":1385,"value":381}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,354,612,870,1128,1386],"clock_positions":[96,354,612,870,1128,1386],"native_values":[133,655,522,640,118,251],"rotation_degrees":22.325581395348838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":133},{"alpha_index":354,"clock_position":354,"value":655},{"alpha_index":612,"clock_position":612,"value":522},{"alpha_index":870,"clock_position":870,"value":640},{"alpha_index":1128,"clock_position":1128,"value":118},{"alpha_index":1386,"clock_position":1386,"value":251}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,355,613,871,1129,1387],"clock_positions":[97,355,613,871,1129,1387],"native_values":[593,734,141,180,39,632],"rotation_degrees":22.558139534883722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":593},{"alpha_index":355,"clock_position":355,"value":734},{"alpha_index":613,"clock_position":613,"value":141},{"alpha_index":871,"clock_position":871,"value":180},{"alpha_index":1129,"clock_position":1129,"value":39},{"alpha_index":1387,"clock_position":1387,"value":632}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,356,614,872,1130,1388],"clock_positions":[98,356,614,872,1130,1388],"native_values":[726,616,663,47,157,110],"rotation_degrees":22.790697674418606,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":726},{"alpha_index":356,"clock_position":356,"value":616},{"alpha_index":614,"clock_position":614,"value":663},{"alpha_index":872,"clock_position":872,"value":47},{"alpha_index":1130,"clock_position":1130,"value":157},{"alpha_index":1388,"clock_position":1388,"value":110}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,357,615,873,1131,1389],"clock_positions":[99,357,615,873,1131,1389],"native_values":[546,577,31,227,196,742],"rotation_degrees":23.023255813953487,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":546},{"alpha_index":357,"clock_position":357,"value":577},{"alpha_index":615,"clock_position":615,"value":31},{"alpha_index":873,"clock_position":873,"value":227},{"alpha_index":1131,"clock_position":1131,"value":196},{"alpha_index":1389,"clock_position":1389,"value":742}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,358,616,874,1132,1390],"clock_positions":[100,358,616,874,1132,1390],"native_values":[499,420,694,274,353,79],"rotation_degrees":23.25581395348837,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":499},{"alpha_index":358,"clock_position":358,"value":420},{"alpha_index":616,"clock_position":616,"value":694},{"alpha_index":874,"clock_position":874,"value":274},{"alpha_index":1132,"clock_position":1132,"value":353},{"alpha_index":1390,"clock_position":1390,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,359,617,875,1133,1391],"clock_positions":[101,359,617,875,1133,1391],"native_values":[272,224,725,501,549,48],"rotation_degrees":23.488372093023255,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":272},{"alpha_index":359,"clock_position":359,"value":224},{"alpha_index":617,"clock_position":617,"value":725},{"alpha_index":875,"clock_position":875,"value":501},{"alpha_index":1133,"clock_position":1133,"value":549},{"alpha_index":1391,"clock_position":1391,"value":48}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,360,618,876,1134,1392],"clock_positions":[102,360,618,876,1134,1392],"native_values":[771,644,646,2,129,127],"rotation_degrees":23.72093023255814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":771},{"alpha_index":360,"clock_position":360,"value":644},{"alpha_index":618,"clock_position":618,"value":646},{"alpha_index":876,"clock_position":876,"value":2},{"alpha_index":1134,"clock_position":1134,"value":129},{"alpha_index":1392,"clock_position":1392,"value":127}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,361,619,877,1135,1393],"clock_positions":[103,361,619,877,1135,1393],"native_values":[270,95,598,503,678,175],"rotation_degrees":23.953488372093023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":270},{"alpha_index":361,"clock_position":361,"value":95},{"alpha_index":619,"clock_position":619,"value":598},{"alpha_index":877,"clock_position":877,"value":503},{"alpha_index":1135,"clock_position":1135,"value":678},{"alpha_index":1393,"clock_position":1393,"value":175}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,362,620,878,1136,1394],"clock_positions":[104,362,620,878,1136,1394],"native_values":[268,739,471,505,34,302],"rotation_degrees":24.186046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":268},{"alpha_index":362,"clock_position":362,"value":739},{"alpha_index":620,"clock_position":620,"value":471},{"alpha_index":878,"clock_position":878,"value":505},{"alpha_index":1136,"clock_position":1136,"value":34},{"alpha_index":1394,"clock_position":1394,"value":302}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,363,621,879,1137,1395],"clock_positions":[105,363,621,879,1137,1395],"native_values":[538,61,296,235,712,477],"rotation_degrees":24.41860465116279,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":538},{"alpha_index":363,"clock_position":363,"value":61},{"alpha_index":621,"clock_position":621,"value":296},{"alpha_index":879,"clock_position":879,"value":235},{"alpha_index":1137,"clock_position":1137,"value":712},{"alpha_index":1395,"clock_position":1395,"value":477}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,364,622,880,1138,1396],"clock_positions":[106,364,622,880,1138,1396],"native_values":[33,27,767,740,746,6],"rotation_degrees":24.651162790697676,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":33},{"alpha_index":364,"clock_position":364,"value":27},{"alpha_index":622,"clock_position":622,"value":767},{"alpha_index":880,"clock_position":880,"value":740},{"alpha_index":1138,"clock_position":1138,"value":746}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,365,623,881,1139,1397],"clock_positions":[107,365,623,881,1139,1397],"native_values":[571,88,290,202,685,483],"rotation_degrees":24.88372093023256,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":571},{"alpha_index":365,"clock_position":365,"value":88},{"alpha_index":623,"clock_position":623,"value":290},{"alpha_index":881,"clock_position":881,"value":202},{"alpha_index":1139,"clock_position":1139,"value":685},{"alpha_index":1397,"clock_position":1397,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,366,624,882,1140,1398],"clock_positions":[108,366,624,882,1140,1398],"native_values":[604,115,284,169,658,489],"rotation_degrees":25.11627906976744,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":604},{"alpha_index":366,"clock_position":366,"value":115},{"alpha_index":624,"clock_position":624,"value":284},{"alpha_index":882,"clock_position":882,"value":169},{"alpha_index":1140,"clock_position":1140,"value":658},{"alpha_index":1398,"clock_position":1398,"value":489}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,367,625,883,1141,1399],"clock_positions":[109,367,625,883,1141,1399],"native_values":[402,203,574,371,570,199],"rotation_degrees":25.348837209302324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":402},{"alpha_index":367,"clock_position":367,"value":203},{"alpha_index":625,"clock_position":625,"value":574},{"alpha_index":883,"clock_position":883,"value":371},{"alpha_index":1141,"clock_position":1141,"value":570},{"alpha_index":1399,"clock_position":1399,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,368,626,884,1142,1400],"clock_positions":[110,368,626,884,1142,1400],"native_values":[233,318,85,540,455,688],"rotation_degrees":25.58139534883721,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":233},{"alpha_index":368,"clock_position":368,"value":318},{"alpha_index":626,"clock_position":626,"value":85},{"alpha_index":884,"clock_position":884,"value":540},{"alpha_index":1142,"clock_position":1142,"value":455},{"alpha_index":1400,"clock_position":1400,"value":688}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,369,627,885,1143,1401],"clock_positions":[111,369,627,885,1143,1401],"native_values":[635,521,659,138,252,114],"rotation_degrees":25.813953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":635},{"alpha_index":369,"clock_position":369,"value":521},{"alpha_index":627,"clock_position":627,"value":659},{"alpha_index":885,"clock_position":885,"value":138},{"alpha_index":1143,"clock_position":1143,"value":252},{"alpha_index":1401,"clock_position":1401,"value":114}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,370,628,886,1144,1402],"clock_positions":[112,370,628,886,1144,1402],"native_values":[95,66,744,678,707,29],"rotation_degrees":26.046511627906977,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":95},{"alpha_index":370,"clock_position":370,"value":66},{"alpha_index":628,"clock_position":628,"value":744},{"alpha_index":886,"clock_position":886,"value":678},{"alpha_index":1144,"clock_position":1144,"value":707},{"alpha_index":1402,"clock_position":1402,"value":29}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,371,629,887,1145,1403],"clock_positions":[113,371,629,887,1145,1403],"native_values":[730,587,630,43,186,143],"rotation_degrees":26.27906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":730},{"alpha_index":371,"clock_position":371,"value":587},{"alpha_index":629,"clock_position":629,"value":630},{"alpha_index":887,"clock_position":887,"value":43},{"alpha_index":1145,"clock_position":1145,"value":186},{"alpha_index":1403,"clock_position":1403,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,372,630,888,1146,1404],"clock_positions":[114,372,630,888,1146,1404],"native_values":[52,653,601,721,120,172],"rotation_degrees":26.511627906976745,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":52},{"alpha_index":372,"clock_position":372,"value":653},{"alpha_index":630,"clock_position":630,"value":601},{"alpha_index":888,"clock_position":888,"value":721},{"alpha_index":1146,"clock_position":1146,"value":120},{"alpha_index":1404,"clock_position":1404,"value":172}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,373,631,889,1147,1405],"clock_positions":[115,373,631,889,1147,1405],"native_values":[9,467,458,764,306,315],"rotation_degrees":26.74418604651163,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":373,"clock_position":373,"value":467},{"alpha_index":631,"clock_position":631,"value":458},{"alpha_index":889,"clock_position":889,"value":764},{"alpha_index":1147,"clock_position":1147,"value":306},{"alpha_index":1405,"clock_position":1405,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,374,632,890,1148,1406],"clock_positions":[116,374,632,890,1148,1406],"native_values":[61,347,286,712,426,487],"rotation_degrees":26.976744186046513,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":61},{"alpha_index":374,"clock_position":374,"value":347},{"alpha_index":632,"clock_position":632,"value":286},{"alpha_index":890,"clock_position":890,"value":712},{"alpha_index":1148,"clock_position":1148,"value":426},{"alpha_index":1406,"clock_position":1406,"value":487}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,375,633,891,1149,1407],"clock_positions":[117,375,633,891,1149,1407],"native_values":[70,41,744,703,732,29],"rotation_degrees":27.209302325581394,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":70},{"alpha_index":375,"clock_position":375,"value":41},{"alpha_index":633,"clock_position":633,"value":744},{"alpha_index":891,"clock_position":891,"value":703},{"alpha_index":1149,"clock_position":1149,"value":732},{"alpha_index":1407,"clock_position":1407,"value":29}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,376,634,892,1150,1408],"clock_positions":[118,376,634,892,1150,1408],"native_values":[131,388,257,642,385,516],"rotation_degrees":27.441860465116278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":131},{"alpha_index":376,"clock_position":376,"value":388},{"alpha_index":634,"clock_position":634,"value":257},{"alpha_index":892,"clock_position":892,"value":642},{"alpha_index":1150,"clock_position":1150,"value":385},{"alpha_index":1408,"clock_position":1408,"value":516}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,377,635,893,1151,1409],"clock_positions":[119,377,635,893,1151,1409],"native_values":[201,429,228,572,344,545],"rotation_degrees":27.674418604651162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":201},{"alpha_index":377,"clock_position":377,"value":429},{"alpha_index":635,"clock_position":635,"value":228},{"alpha_index":893,"clock_position":893,"value":572},{"alpha_index":1151,"clock_position":1151,"value":344},{"alpha_index":1409,"clock_position":1409,"value":545}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,378,636,894,1152,1410],"clock_positions":[120,378,636,894,1152,1410],"native_values":[332,44,485,441,729,288],"rotation_degrees":27.906976744186046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":332},{"alpha_index":378,"clock_position":378,"value":44},{"alpha_index":636,"clock_position":636,"value":485},{"alpha_index":894,"clock_position":894,"value":441},{"alpha_index":1152,"clock_position":1152,"value":729},{"alpha_index":1410,"clock_position":1410,"value":288}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,379,637,895,1153,1411],"clock_positions":[121,379,637,895,1153,1411],"native_values":[533,473,713,240,300,60],"rotation_degrees":28.13953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":533},{"alpha_index":379,"clock_position":379,"value":473},{"alpha_index":637,"clock_position":637,"value":713},{"alpha_index":895,"clock_position":895,"value":240},{"alpha_index":1153,"clock_position":1153,"value":300},{"alpha_index":1411,"clock_position":1411,"value":60}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,380,638,896,1154,1412],"clock_positions":[122,380,638,896,1154,1412],"native_values":[92,517,425,681,256,348],"rotation_degrees":28.372093023255815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":92},{"alpha_index":380,"clock_position":380,"value":517},{"alpha_index":638,"clock_position":638,"value":425},{"alpha_index":896,"clock_position":896,"value":681},{"alpha_index":1154,"clock_position":1154,"value":256},{"alpha_index":1412,"clock_position":1412,"value":348}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,381,639,897,1155,1413],"clock_positions":[123,381,639,897,1155,1413],"native_values":[625,217,365,148,556,408],"rotation_degrees":28.6046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":625},{"alpha_index":381,"clock_position":381,"value":217},{"alpha_index":639,"clock_position":639,"value":365},{"alpha_index":897,"clock_position":897,"value":148},{"alpha_index":1155,"clock_position":1155,"value":556},{"alpha_index":1413,"clock_position":1413,"value":408}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,382,640,898,1156,1414],"clock_positions":[124,382,640,898,1156,1414],"native_values":[717,734,17,56,39,756],"rotation_degrees":28.837209302325583,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":717},{"alpha_index":382,"clock_position":382,"value":734},{"alpha_index":640,"clock_position":640,"value":17},{"alpha_index":898,"clock_position":898,"value":56},{"alpha_index":1156,"clock_position":1156,"value":39},{"alpha_index":1414,"clock_position":1414,"value":756}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,383,641,899,1157,1415],"clock_positions":[125,383,641,899,1157,1415],"native_values":[569,178,382,204,595,391],"rotation_degrees":29.069767441860463,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":569},{"alpha_index":383,"clock_position":383,"value":178},{"alpha_index":641,"clock_position":641,"value":382},{"alpha_index":899,"clock_position":899,"value":204},{"alpha_index":1157,"clock_position":1157,"value":595},{"alpha_index":1415,"clock_position":1415,"value":391}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,384,642,900,1158,1416],"clock_positions":[126,384,642,900,1158,1416],"native_values":[513,139,399,260,634,374],"rotation_degrees":29.302325581395348,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":513},{"alpha_index":384,"clock_position":384,"value":139},{"alpha_index":642,"clock_position":642,"value":399},{"alpha_index":900,"clock_position":900,"value":260},{"alpha_index":1158,"clock_position":1158,"value":634},{"alpha_index":1416,"clock_position":1416,"value":374}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,385,643,901,1159,1417],"clock_positions":[127,385,643,901,1159,1417],"native_values":[309,317,8,464,456,765],"rotation_degrees":29.53488372093023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":309},{"alpha_index":385,"clock_position":385,"value":317},{"alpha_index":643,"clock_position":643,"value":8},{"alpha_index":901,"clock_position":901,"value":464},{"alpha_index":1159,"clock_position":1159,"value":456},{"alpha_index":1417,"clock_position":1417,"value":765}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,386,644,902,1160,1418],"clock_positions":[128,386,644,902,1160,1418],"native_values":[49,456,407,724,317,366],"rotation_degrees":29.767441860465116,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":49},{"alpha_index":386,"clock_position":386,"value":456},{"alpha_index":644,"clock_position":644,"value":407},{"alpha_index":902,"clock_position":902,"value":724},{"alpha_index":1160,"clock_position":1160,"value":317},{"alpha_index":1418,"clock_position":1418,"value":366}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,387,645,903,1161,1419],"clock_positions":[129,387,645,903,1161,1419],"native_values":[358,773,415,415,773,358],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":358},{"alpha_index":387,"clock_position":387,"value":773},{"alpha_index":645,"clock_position":645,"value":415},{"alpha_index":903,"clock_position":903,"value":415},{"alpha_index":1161,"clock_position":1161,"value":773},{"alpha_index":1419,"clock_position":1419,"value":358}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,388,646,904,1162,1420],"clock_positions":[130,388,646,904,1162,1420],"native_values":[407,456,49,366,317,724],"rotation_degrees":30.232558139534884,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":407},{"alpha_index":388,"clock_position":388,"value":456},{"alpha_index":646,"clock_position":646,"value":49},{"alpha_index":904,"clock_position":904,"value":366},{"alpha_index":1162,"clock_position":1162,"value":317},{"alpha_index":1420,"clock_position":1420,"value":724}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,389,647,905,1163,1421],"clock_positions":[131,389,647,905,1163,1421],"native_values":[765,456,464,8,317,309],"rotation_degrees":30.46511627906977,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":765},{"alpha_index":389,"clock_position":389,"value":456},{"alpha_index":647,"clock_position":647,"value":464},{"alpha_index":905,"clock_position":905,"value":8},{"alpha_index":1163,"clock_position":1163,"value":317},{"alpha_index":1421,"clock_position":1421,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,390,648,906,1164,1422],"clock_positions":[132,390,648,906,1164,1422],"native_values":[399,139,513,374,634,260],"rotation_degrees":30.697674418604652,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":399},{"alpha_index":390,"clock_position":390,"value":139},{"alpha_index":648,"clock_position":648,"value":513},{"alpha_index":906,"clock_position":906,"value":374},{"alpha_index":1164,"clock_position":1164,"value":634},{"alpha_index":1422,"clock_position":1422,"value":260}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,391,649,907,1165,1423],"clock_positions":[133,391,649,907,1165,1423],"native_values":[391,595,204,382,178,569],"rotation_degrees":30.930232558139537,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":391},{"alpha_index":391,"clock_position":391,"value":595},{"alpha_index":649,"clock_position":649,"value":204},{"alpha_index":907,"clock_position":907,"value":382},{"alpha_index":1165,"clock_position":1165,"value":178},{"alpha_index":1423,"clock_position":1423,"value":569}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,392,650,908,1166,1424],"clock_positions":[134,392,650,908,1166,1424],"native_values":[17,734,717,756,39,56],"rotation_degrees":31.162790697674417,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":17},{"alpha_index":392,"clock_position":392,"value":734},{"alpha_index":650,"clock_position":650,"value":717},{"alpha_index":908,"clock_position":908,"value":756},{"alpha_index":1166,"clock_position":1166,"value":39},{"alpha_index":1424,"clock_position":1424,"value":56}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,393,651,909,1167,1425],"clock_positions":[135,393,651,909,1167,1425],"native_values":[408,556,148,365,217,625],"rotation_degrees":31.3953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":408},{"alpha_index":393,"clock_position":393,"value":556},{"alpha_index":651,"clock_position":651,"value":148},{"alpha_index":909,"clock_position":909,"value":365},{"alpha_index":1167,"clock_position":1167,"value":217},{"alpha_index":1425,"clock_position":1425,"value":625}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,394,652,910,1168,1426],"clock_positions":[136,394,652,910,1168,1426],"native_values":[425,517,92,348,256,681],"rotation_degrees":31.627906976744185,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":425},{"alpha_index":394,"clock_position":394,"value":517},{"alpha_index":652,"clock_position":652,"value":92},{"alpha_index":910,"clock_position":910,"value":348},{"alpha_index":1168,"clock_position":1168,"value":256},{"alpha_index":1426,"clock_position":1426,"value":681}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,395,653,911,1169,1427],"clock_positions":[137,395,653,911,1169,1427],"native_values":[60,300,240,713,473,533],"rotation_degrees":31.86046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":60},{"alpha_index":395,"clock_position":395,"value":300},{"alpha_index":653,"clock_position":653,"value":240},{"alpha_index":911,"clock_position":911,"value":713},{"alpha_index":1169,"clock_position":1169,"value":473},{"alpha_index":1427,"clock_position":1427,"value":533}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,396,654,912,1170,1428],"clock_positions":[138,396,654,912,1170,1428],"native_values":[485,44,332,288,729,441],"rotation_degrees":32.093023255813954,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":485},{"alpha_index":396,"clock_position":396,"value":44},{"alpha_index":654,"clock_position":654,"value":332},{"alpha_index":912,"clock_position":912,"value":288},{"alpha_index":1170,"clock_position":1170,"value":729},{"alpha_index":1428,"clock_position":1428,"value":441}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,397,655,913,1171,1429],"clock_positions":[139,397,655,913,1171,1429],"native_values":[545,344,572,228,429,201],"rotation_degrees":32.325581395348834,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":545},{"alpha_index":397,"clock_position":397,"value":344},{"alpha_index":655,"clock_position":655,"value":572},{"alpha_index":913,"clock_position":913,"value":228},{"alpha_index":1171,"clock_position":1171,"value":429},{"alpha_index":1429,"clock_position":1429,"value":201}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,398,656,914,1172,1430],"clock_positions":[140,398,656,914,1172,1430],"native_values":[257,388,131,516,385,642],"rotation_degrees":32.55813953488372,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":257},{"alpha_index":398,"clock_position":398,"value":388},{"alpha_index":656,"clock_position":656,"value":131},{"alpha_index":914,"clock_position":914,"value":516},{"alpha_index":1172,"clock_position":1172,"value":385},{"alpha_index":1430,"clock_position":1430,"value":642}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,399,657,915,1173,1431],"clock_positions":[141,399,657,915,1173,1431],"native_values":[29,732,703,744,41,70],"rotation_degrees":32.7906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":29},{"alpha_index":399,"clock_position":399,"value":732},{"alpha_index":657,"clock_position":657,"value":703},{"alpha_index":915,"clock_position":915,"value":744},{"alpha_index":1173,"clock_position":1173,"value":41},{"alpha_index":1431,"clock_position":1431,"value":70}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,400,658,916,1174,1432],"clock_positions":[142,400,658,916,1174,1432],"native_values":[286,347,61,487,426,712],"rotation_degrees":33.02325581395349,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":286},{"alpha_index":400,"clock_position":400,"value":347},{"alpha_index":658,"clock_position":658,"value":61},{"alpha_index":916,"clock_position":916,"value":487},{"alpha_index":1174,"clock_position":1174,"value":426},{"alpha_index":1432,"clock_position":1432,"value":712}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,401,659,917,1175,1433],"clock_positions":[143,401,659,917,1175,1433],"native_values":[315,306,764,458,467,9],"rotation_degrees":33.25581395348837,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":315},{"alpha_index":401,"clock_position":401,"value":306},{"alpha_index":659,"clock_position":659,"value":764},{"alpha_index":917,"clock_position":917,"value":458},{"alpha_index":1175,"clock_position":1175,"value":467}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,402,660,918,1176,1434],"clock_positions":[144,402,660,918,1176,1434],"native_values":[601,653,52,172,120,721],"rotation_degrees":33.48837209302326,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":601},{"alpha_index":402,"clock_position":402,"value":653},{"alpha_index":660,"clock_position":660,"value":52},{"alpha_index":918,"clock_position":918,"value":172},{"alpha_index":1176,"clock_position":1176,"value":120},{"alpha_index":1434,"clock_position":1434,"value":721}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,403,661,919,1177,1435],"clock_positions":[145,403,661,919,1177,1435],"native_values":[143,186,43,630,587,730],"rotation_degrees":33.72093023255814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":143},{"alpha_index":403,"clock_position":403,"value":186},{"alpha_index":661,"clock_position":661,"value":43},{"alpha_index":919,"clock_position":919,"value":630},{"alpha_index":1177,"clock_position":1177,"value":587},{"alpha_index":1435,"clock_position":1435,"value":730}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,404,662,920,1178,1436],"clock_positions":[146,404,662,920,1178,1436],"native_values":[744,66,95,29,707,678],"rotation_degrees":33.95348837209303,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":744},{"alpha_index":404,"clock_position":404,"value":66},{"alpha_index":662,"clock_position":662,"value":95},{"alpha_index":920,"clock_position":920,"value":29},{"alpha_index":1178,"clock_position":1178,"value":707},{"alpha_index":1436,"clock_position":1436,"value":678}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,405,663,921,1179,1437],"clock_positions":[147,405,663,921,1179,1437],"native_values":[114,252,138,659,521,635],"rotation_degrees":34.18604651162791,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":114},{"alpha_index":405,"clock_position":405,"value":252},{"alpha_index":663,"clock_position":663,"value":138},{"alpha_index":921,"clock_position":921,"value":659},{"alpha_index":1179,"clock_position":1179,"value":521},{"alpha_index":1437,"clock_position":1437,"value":635}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,406,664,922,1180,1438],"clock_positions":[148,406,664,922,1180,1438],"native_values":[85,318,233,688,455,540],"rotation_degrees":34.41860465116279,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":85},{"alpha_index":406,"clock_position":406,"value":318},{"alpha_index":664,"clock_position":664,"value":233},{"alpha_index":922,"clock_position":922,"value":688},{"alpha_index":1180,"clock_position":1180,"value":455},{"alpha_index":1438,"clock_position":1438,"value":540}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,407,665,923,1181,1439],"clock_positions":[149,407,665,923,1181,1439],"native_values":[199,570,371,574,203,402],"rotation_degrees":34.651162790697676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":199},{"alpha_index":407,"clock_position":407,"value":570},{"alpha_index":665,"clock_position":665,"value":371},{"alpha_index":923,"clock_position":923,"value":574},{"alpha_index":1181,"clock_position":1181,"value":203},{"alpha_index":1439,"clock_position":1439,"value":402}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,408,666,924,1182,1440],"clock_positions":[150,408,666,924,1182,1440],"native_values":[284,115,604,489,658,169],"rotation_degrees":34.883720930232556,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":284},{"alpha_index":408,"clock_position":408,"value":115},{"alpha_index":666,"clock_position":666,"value":604},{"alpha_index":924,"clock_position":924,"value":489},{"alpha_index":1182,"clock_position":1182,"value":658},{"alpha_index":1440,"clock_position":1440,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,409,667,925,1183,1441],"clock_positions":[151,409,667,925,1183,1441],"native_values":[483,685,202,290,88,571],"rotation_degrees":35.116279069767444,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":483},{"alpha_index":409,"clock_position":409,"value":685},{"alpha_index":667,"clock_position":667,"value":202},{"alpha_index":925,"clock_position":925,"value":290},{"alpha_index":1183,"clock_position":1183,"value":88},{"alpha_index":1441,"clock_position":1441,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,410,668,926,1184,1442],"clock_positions":[152,410,668,926,1184,1442],"native_values":[767,27,33,6,746,740],"rotation_degrees":35.348837209302324,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":767},{"alpha_index":410,"clock_position":410,"value":27},{"alpha_index":668,"clock_position":668,"value":33},{"alpha_index":1184,"clock_position":1184,"value":746},{"alpha_index":1442,"clock_position":1442,"value":740}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,411,669,927,1185,1443],"clock_positions":[153,411,669,927,1185,1443],"native_values":[477,712,235,296,61,538],"rotation_degrees":35.58139534883721,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":477},{"alpha_index":411,"clock_position":411,"value":712},{"alpha_index":669,"clock_position":669,"value":235},{"alpha_index":927,"clock_position":927,"value":296},{"alpha_index":1185,"clock_position":1185,"value":61},{"alpha_index":1443,"clock_position":1443,"value":538}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,412,670,928,1186,1444],"clock_positions":[154,412,670,928,1186,1444],"native_values":[471,739,268,302,34,505],"rotation_degrees":35.81395348837209,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":471},{"alpha_index":412,"clock_position":412,"value":739},{"alpha_index":670,"clock_position":670,"value":268},{"alpha_index":928,"clock_position":928,"value":302},{"alpha_index":1186,"clock_position":1186,"value":34},{"alpha_index":1444,"clock_position":1444,"value":505}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,413,671,929,1187,1445],"clock_positions":[155,413,671,929,1187,1445],"native_values":[175,678,503,598,95,270],"rotation_degrees":36.04651162790697,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":175},{"alpha_index":413,"clock_position":413,"value":678},{"alpha_index":671,"clock_position":671,"value":503},{"alpha_index":929,"clock_position":929,"value":598},{"alpha_index":1187,"clock_position":1187,"value":95},{"alpha_index":1445,"clock_position":1445,"value":270}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,414,672,930,1188,1446],"clock_positions":[156,414,672,930,1188,1446],"native_values":[646,644,771,127,129,2],"rotation_degrees":36.27906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":646},{"alpha_index":414,"clock_position":414,"value":644},{"alpha_index":672,"clock_position":672,"value":771},{"alpha_index":930,"clock_position":930,"value":127},{"alpha_index":1188,"clock_position":1188,"value":129},{"alpha_index":1446,"clock_position":1446,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,415,673,931,1189,1447],"clock_positions":[157,415,673,931,1189,1447],"native_values":[48,549,501,725,224,272],"rotation_degrees":36.51162790697674,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":48},{"alpha_index":415,"clock_position":415,"value":549},{"alpha_index":673,"clock_position":673,"value":501},{"alpha_index":931,"clock_position":931,"value":725},{"alpha_index":1189,"clock_position":1189,"value":224},{"alpha_index":1447,"clock_position":1447,"value":272}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,416,674,932,1190,1448],"clock_positions":[158,416,674,932,1190,1448],"native_values":[694,420,499,79,353,274],"rotation_degrees":36.74418604651163,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":694},{"alpha_index":416,"clock_position":416,"value":420},{"alpha_index":674,"clock_position":674,"value":499},{"alpha_index":932,"clock_position":932,"value":79},{"alpha_index":1190,"clock_position":1190,"value":353},{"alpha_index":1448,"clock_position":1448,"value":274}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,417,675,933,1191,1449],"clock_positions":[159,417,675,933,1191,1449],"native_values":[742,196,227,31,577,546],"rotation_degrees":36.97674418604651,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":742},{"alpha_index":417,"clock_position":417,"value":196},{"alpha_index":675,"clock_position":675,"value":227},{"alpha_index":933,"clock_position":933,"value":31},{"alpha_index":1191,"clock_position":1191,"value":577},{"alpha_index":1449,"clock_position":1449,"value":546}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,418,676,934,1192,1450],"clock_positions":[160,418,676,934,1192,1450],"native_values":[663,616,726,110,157,47],"rotation_degrees":37.2093023255814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":663},{"alpha_index":418,"clock_position":418,"value":616},{"alpha_index":676,"clock_position":676,"value":726},{"alpha_index":934,"clock_position":934,"value":110},{"alpha_index":1192,"clock_position":1192,"value":157},{"alpha_index":1450,"clock_position":1450,"value":47}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,419,677,935,1193,1451],"clock_positions":[161,419,677,935,1193,1451],"native_values":[632,39,180,141,734,593],"rotation_degrees":37.44186046511628,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":632},{"alpha_index":419,"clock_position":419,"value":39},{"alpha_index":677,"clock_position":677,"value":180},{"alpha_index":935,"clock_position":935,"value":141},{"alpha_index":1193,"clock_position":1193,"value":734},{"alpha_index":1451,"clock_position":1451,"value":593}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,420,678,936,1194,1452],"clock_positions":[162,420,678,936,1194,1452],"native_values":[522,655,133,251,118,640],"rotation_degrees":37.674418604651166,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":522},{"alpha_index":420,"clock_position":420,"value":655},{"alpha_index":678,"clock_position":678,"value":133},{"alpha_index":936,"clock_position":936,"value":251},{"alpha_index":1194,"clock_position":1194,"value":118},{"alpha_index":1452,"clock_position":1452,"value":640}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,421,679,937,1195,1453],"clock_positions":[163,421,679,937,1195,1453],"native_values":[381,694,313,392,79,460],"rotation_degrees":37.906976744186046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":381},{"alpha_index":421,"clock_position":421,"value":694},{"alpha_index":679,"clock_position":679,"value":313},{"alpha_index":937,"clock_position":937,"value":392},{"alpha_index":1195,"clock_position":1195,"value":79},{"alpha_index":1453,"clock_position":1453,"value":460}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,422,680,938,1196,1454],"clock_positions":[164,422,680,938,1196,1454],"native_values":[130,576,446,643,197,327],"rotation_degrees":38.13953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":130},{"alpha_index":422,"clock_position":422,"value":576},{"alpha_index":680,"clock_position":680,"value":446},{"alpha_index":938,"clock_position":938,"value":643},{"alpha_index":1196,"clock_position":1196,"value":197},{"alpha_index":1454,"clock_position":1454,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,423,681,939,1197,1455],"clock_positions":[165,423,681,939,1197,1455],"native_values":[511,497,759,262,276,14],"rotation_degrees":38.372093023255815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":511},{"alpha_index":423,"clock_position":423,"value":497},{"alpha_index":681,"clock_position":681,"value":759},{"alpha_index":939,"clock_position":939,"value":262},{"alpha_index":1197,"clock_position":1197,"value":276},{"alpha_index":1455,"clock_position":1455,"value":14}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,424,682,940,1198,1456],"clock_positions":[166,424,682,940,1198,1456],"native_values":[641,300,432,132,473,341],"rotation_degrees":38.604651162790695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":641},{"alpha_index":424,"clock_position":424,"value":300},{"alpha_index":682,"clock_position":682,"value":432},{"alpha_index":940,"clock_position":940,"value":132},{"alpha_index":1198,"clock_position":1198,"value":473},{"alpha_index":1456,"clock_position":1456,"value":341}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,425,683,941,1199,1457],"clock_positions":[167,425,683,941,1199,1457],"native_values":[379,24,418,394,749,355],"rotation_degrees":38.83720930232558,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":379},{"alpha_index":425,"clock_position":425,"value":24},{"alpha_index":683,"clock_position":683,"value":418},{"alpha_index":941,"clock_position":941,"value":394},{"alpha_index":1199,"clock_position":1199,"value":749},{"alpha_index":1457,"clock_position":1457,"value":355}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,426,684,942,1200,1458],"clock_positions":[168,426,684,942,1200,1458],"native_values":[247,324,77,526,449,696],"rotation_degrees":39.06976744186046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":247},{"alpha_index":426,"clock_position":426,"value":324},{"alpha_index":684,"clock_position":684,"value":77},{"alpha_index":942,"clock_position":942,"value":526},{"alpha_index":1200,"clock_position":1200,"value":449},{"alpha_index":1458,"clock_position":1458,"value":696}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,427,685,943,1201,1459],"clock_positions":[169,427,685,943,1201,1459],"native_values":[626,348,495,147,425,278],"rotation_degrees":39.30232558139535,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":626},{"alpha_index":427,"clock_position":427,"value":348},{"alpha_index":685,"clock_position":685,"value":495},{"alpha_index":943,"clock_position":943,"value":147},{"alpha_index":1201,"clock_position":1201,"value":425},{"alpha_index":1459,"clock_position":1459,"value":278}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,428,686,944,1202,1460],"clock_positions":[170,428,686,944,1202,1460],"native_values":[100,672,572,673,101,201],"rotation_degrees":39.53488372093023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":100},{"alpha_index":428,"clock_position":428,"value":672},{"alpha_index":686,"clock_position":686,"value":572},{"alpha_index":944,"clock_position":944,"value":673},{"alpha_index":1202,"clock_position":1202,"value":101},{"alpha_index":1460,"clock_position":1460,"value":201}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,429,687,945,1203,1461],"clock_positions":[171,429,687,945,1203,1461],"native_values":[726,247,294,47,526,479],"rotation_degrees":39.76744186046512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":726},{"alpha_index":429,"clock_position":429,"value":247},{"alpha_index":687,"clock_position":687,"value":294},{"alpha_index":945,"clock_position":945,"value":47},{"alpha_index":1203,"clock_position":1203,"value":526},{"alpha_index":1461,"clock_position":1461,"value":479}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,430,688,946,1204,1462],"clock_positions":[172,430,688,946,1204,1462],"native_values":[53,146,93,720,627,680],"rotation_degrees":40.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":53},{"alpha_index":430,"clock_position":430,"value":146},{"alpha_index":688,"clock_position":688,"value":93},{"alpha_index":946,"clock_position":946,"value":720},{"alpha_index":1204,"clock_position":1204,"value":627},{"alpha_index":1462,"clock_position":1462,"value":680}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,431,689,947,1205,1463],"clock_positions":[173,431,689,947,1205,1463],"native_values":[6,393,387,767,380,386],"rotation_degrees":40.23255813953488,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":431,"clock_position":431,"value":393},{"alpha_index":689,"clock_position":689,"value":387},{"alpha_index":947,"clock_position":947,"value":767},{"alpha_index":1205,"clock_position":1205,"value":380},{"alpha_index":1463,"clock_position":1463,"value":386}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,432,690,948,1206,1464],"clock_positions":[174,432,690,948,1206,1464],"native_values":[59,539,480,714,234,293],"rotation_degrees":40.46511627906977,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":59},{"alpha_index":432,"clock_position":432,"value":539},{"alpha_index":690,"clock_position":690,"value":480},{"alpha_index":948,"clock_position":948,"value":714},{"alpha_index":1206,"clock_position":1206,"value":234},{"alpha_index":1464,"clock_position":1464,"value":293}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,433,691,949,1207,1465],"clock_positions":[175,433,691,949,1207,1465],"native_values":[65,159,94,708,614,679],"rotation_degrees":40.69767441860465,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":65},{"alpha_index":433,"clock_position":433,"value":159},{"alpha_index":691,"clock_position":691,"value":94},{"alpha_index":949,"clock_position":949,"value":708},{"alpha_index":1207,"clock_position":1207,"value":614},{"alpha_index":1465,"clock_position":1465,"value":679}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,434,692,950,1208,1466],"clock_positions":[176,434,692,950,1208,1466],"native_values":[124,698,574,649,75,199],"rotation_degrees":40.93023255813954,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":124},{"alpha_index":434,"clock_position":434,"value":698},{"alpha_index":692,"clock_position":692,"value":574},{"alpha_index":950,"clock_position":950,"value":649},{"alpha_index":1208,"clock_position":1208,"value":75},{"alpha_index":1466,"clock_position":1466,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,435,693,951,1209,1467],"clock_positions":[177,435,693,951,1209,1467],"native_values":[189,84,668,584,689,105],"rotation_degrees":41.16279069767442,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":189},{"alpha_index":435,"clock_position":435,"value":84},{"alpha_index":693,"clock_position":693,"value":668},{"alpha_index":951,"clock_position":951,"value":584},{"alpha_index":1209,"clock_position":1209,"value":689},{"alpha_index":1467,"clock_position":1467,"value":105}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,436,694,952,1210,1468],"clock_positions":[178,436,694,952,1210,1468],"native_values":[313,9,469,460,764,304],"rotation_degrees":41.395348837209305,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":313},{"alpha_index":694,"clock_position":694,"value":469},{"alpha_index":952,"clock_position":952,"value":460},{"alpha_index":1210,"clock_position":1210,"value":764},{"alpha_index":1468,"clock_position":1468,"value":304}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,437,695,953,1211,1469],"clock_positions":[179,437,695,953,1211,1469],"native_values":[502,93,364,271,680,409],"rotation_degrees":41.627906976744185,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":502},{"alpha_index":437,"clock_position":437,"value":93},{"alpha_index":695,"clock_position":695,"value":364},{"alpha_index":953,"clock_position":953,"value":271},{"alpha_index":1211,"clock_position":1211,"value":680},{"alpha_index":1469,"clock_position":1469,"value":409}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,438,696,954,1212,1470],"clock_positions":[180,438,696,954,1212,1470],"native_values":[42,102,60,731,671,713],"rotation_degrees":41.86046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":42},{"alpha_index":438,"clock_position":438,"value":102},{"alpha_index":696,"clock_position":696,"value":60},{"alpha_index":954,"clock_position":954,"value":731},{"alpha_index":1212,"clock_position":1212,"value":671},{"alpha_index":1470,"clock_position":1470,"value":713}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,439,697,955,1213,1471],"clock_positions":[181,439,697,955,1213,1471],"native_values":[544,195,424,229,578,349],"rotation_degrees":42.093023255813954,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":544},{"alpha_index":439,"clock_position":439,"value":195},{"alpha_index":697,"clock_position":697,"value":424},{"alpha_index":955,"clock_position":955,"value":229},{"alpha_index":1213,"clock_position":1213,"value":578},{"alpha_index":1471,"clock_position":1471,"value":349}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,440,698,956,1214,1472],"clock_positions":[182,440,698,956,1214,1472],"native_values":[586,297,484,187,476,289],"rotation_degrees":42.325581395348834,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":586},{"alpha_index":440,"clock_position":440,"value":297},{"alpha_index":698,"clock_position":698,"value":484},{"alpha_index":956,"clock_position":956,"value":187},{"alpha_index":1214,"clock_position":1214,"value":476},{"alpha_index":1472,"clock_position":1472,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,441,699,957,1215,1473],"clock_positions":[183,441,699,957,1215,1473],"native_values":[357,492,135,416,281,638],"rotation_degrees":42.55813953488372,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":357},{"alpha_index":441,"clock_position":441,"value":492},{"alpha_index":699,"clock_position":699,"value":135},{"alpha_index":957,"clock_position":957,"value":416},{"alpha_index":1215,"clock_position":1215,"value":281},{"alpha_index":1473,"clock_position":1473,"value":638}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,442,700,958,1216,1474],"clock_positions":[184,442,700,958,1216,1474],"native_values":[170,16,619,603,757,154],"rotation_degrees":42.7906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":170},{"alpha_index":442,"clock_position":442,"value":16},{"alpha_index":700,"clock_position":700,"value":619},{"alpha_index":958,"clock_position":958,"value":603},{"alpha_index":1216,"clock_position":1216,"value":757},{"alpha_index":1474,"clock_position":1474,"value":154}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,443,701,959,1217,1475],"clock_positions":[185,443,701,959,1217,1475],"native_values":[527,508,754,246,265,19],"rotation_degrees":43.02325581395349,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":527},{"alpha_index":443,"clock_position":443,"value":508},{"alpha_index":701,"clock_position":701,"value":754},{"alpha_index":959,"clock_position":959,"value":246},{"alpha_index":1217,"clock_position":1217,"value":265},{"alpha_index":1475,"clock_position":1475,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,444,702,960,1218,1476],"clock_positions":[186,444,702,960,1218,1476],"native_values":[697,524,600,76,249,173],"rotation_degrees":43.25581395348837,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":697},{"alpha_index":444,"clock_position":444,"value":524},{"alpha_index":702,"clock_position":702,"value":600},{"alpha_index":960,"clock_position":960,"value":76},{"alpha_index":1218,"clock_position":1218,"value":249},{"alpha_index":1476,"clock_position":1476,"value":173}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,445,703,961,1219,1477],"clock_positions":[187,445,703,961,1219,1477],"native_values":[451,259,581,322,514,192],"rotation_degrees":43.48837209302326,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":451},{"alpha_index":445,"clock_position":445,"value":259},{"alpha_index":703,"clock_position":703,"value":581},{"alpha_index":961,"clock_position":961,"value":322},{"alpha_index":1219,"clock_position":1219,"value":514},{"alpha_index":1477,"clock_position":1477,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,446,704,962,1220,1478],"clock_positions":[188,446,704,962,1220,1478],"native_values":[375,10,408,398,763,365],"rotation_degrees":43.72093023255814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":375},{"alpha_index":446,"clock_position":446,"value":10},{"alpha_index":704,"clock_position":704,"value":408},{"alpha_index":962,"clock_position":962,"value":398},{"alpha_index":1220,"clock_position":1220,"value":763},{"alpha_index":1478,"clock_position":1478,"value":365}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,447,705,963,1221,1479],"clock_positions":[189,447,705,963,1221,1479],"native_values":[53,269,216,720,504,557],"rotation_degrees":43.95348837209303,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":53},{"alpha_index":447,"clock_position":447,"value":269},{"alpha_index":705,"clock_position":705,"value":216},{"alpha_index":963,"clock_position":963,"value":720},{"alpha_index":1221,"clock_position":1221,"value":504},{"alpha_index":1479,"clock_position":1479,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,448,706,964,1222,1480],"clock_positions":[190,448,706,964,1222,1480],"native_values":[428,279,624,345,494,149],"rotation_degrees":44.18604651162791,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":428},{"alpha_index":448,"clock_position":448,"value":279},{"alpha_index":706,"clock_position":706,"value":624},{"alpha_index":964,"clock_position":964,"value":345},{"alpha_index":1222,"clock_position":1222,"value":494},{"alpha_index":1480,"clock_position":1480,"value":149}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,449,707,965,1223,1481],"clock_positions":[191,449,707,965,1223,1481],"native_values":[481,548,67,292,225,706],"rotation_degrees":44.41860465116279,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":481},{"alpha_index":449,"clock_position":449,"value":548},{"alpha_index":707,"clock_position":707,"value":67},{"alpha_index":965,"clock_position":965,"value":292},{"alpha_index":1223,"clock_position":1223,"value":225},{"alpha_index":1481,"clock_position":1481,"value":706}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,450,708,966,1224,1482],"clock_positions":[192,450,708,966,1224,1482],"native_values":[136,54,691,637,719,82],"rotation_degrees":44.651162790697676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":136},{"alpha_index":450,"clock_position":450,"value":54},{"alpha_index":708,"clock_position":708,"value":691},{"alpha_index":966,"clock_position":966,"value":637},{"alpha_index":1224,"clock_position":1224,"value":719},{"alpha_index":1482,"clock_position":1482,"value":82}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,451,709,967,1225,1483],"clock_positions":[193,451,709,967,1225,1483],"native_values":[617,602,758,156,171,15],"rotation_degrees":44.883720930232556,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":617},{"alpha_index":451,"clock_position":451,"value":602},{"alpha_index":709,"clock_position":709,"value":758},{"alpha_index":967,"clock_position":967,"value":156},{"alpha_index":1225,"clock_position":1225,"value":171},{"alpha_index":1483,"clock_position":1483,"value":15}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,452,710,968,1226,1484],"clock_positions":[194,452,710,968,1226,1484],"native_values":[753,656,676,20,117,97],"rotation_degrees":45.116279069767444,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":753},{"alpha_index":452,"clock_position":452,"value":656},{"alpha_index":710,"clock_position":710,"value":676},{"alpha_index":968,"clock_position":968,"value":20},{"alpha_index":1226,"clock_position":1226,"value":117},{"alpha_index":1484,"clock_position":1484,"value":97}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,453,711,969,1227,1485],"clock_positions":[195,453,711,969,1227,1485],"native_values":[597,485,661,176,288,112],"rotation_degrees":45.348837209302324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":597},{"alpha_index":453,"clock_position":453,"value":485},{"alpha_index":711,"clock_position":711,"value":661},{"alpha_index":969,"clock_position":969,"value":176},{"alpha_index":1227,"clock_position":1227,"value":288},{"alpha_index":1485,"clock_position":1485,"value":112}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,454,712,970,1228,1486],"clock_positions":[196,454,712,970,1228,1486],"native_values":[577,368,564,196,405,209],"rotation_degrees":45.58139534883721,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":577},{"alpha_index":454,"clock_position":454,"value":368},{"alpha_index":712,"clock_position":712,"value":564},{"alpha_index":970,"clock_position":970,"value":196},{"alpha_index":1228,"clock_position":1228,"value":405},{"alpha_index":1486,"clock_position":1486,"value":209}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,455,713,971,1229,1487],"clock_positions":[197,455,713,971,1229,1487],"native_values":[401,80,452,372,693,321],"rotation_degrees":45.81395348837209,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":401},{"alpha_index":455,"clock_position":455,"value":80},{"alpha_index":713,"clock_position":713,"value":452},{"alpha_index":971,"clock_position":971,"value":372},{"alpha_index":1229,"clock_position":1229,"value":693},{"alpha_index":1487,"clock_position":1487,"value":321}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,456,714,972,1230,1488],"clock_positions":[198,456,714,972,1230,1488],"native_values":[205,448,243,568,325,530],"rotation_degrees":46.04651162790697,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":205},{"alpha_index":456,"clock_position":456,"value":448},{"alpha_index":714,"clock_position":714,"value":243},{"alpha_index":972,"clock_position":972,"value":568},{"alpha_index":1230,"clock_position":1230,"value":325},{"alpha_index":1488,"clock_position":1488,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,457,715,973,1231,1489],"clock_positions":[199,457,715,973,1231,1489],"native_values":[606,528,695,167,245,78],"rotation_degrees":46.27906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":606},{"alpha_index":457,"clock_position":457,"value":528},{"alpha_index":715,"clock_position":715,"value":695},{"alpha_index":973,"clock_position":973,"value":167},{"alpha_index":1231,"clock_position":1231,"value":245},{"alpha_index":1489,"clock_position":1489,"value":78}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,458,716,974,1232,1490],"clock_positions":[200,458,716,974,1232,1490],"native_values":[38,203,165,735,570,608],"rotation_degrees":46.51162790697674,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":38},{"alpha_index":458,"clock_position":458,"value":203},{"alpha_index":716,"clock_position":716,"value":165},{"alpha_index":974,"clock_position":974,"value":735},{"alpha_index":1232,"clock_position":1232,"value":570},{"alpha_index":1490,"clock_position":1490,"value":608}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,459,717,975,1233,1491],"clock_positions":[201,459,717,975,1233,1491],"native_values":[644,731,87,129,42,686],"rotation_degrees":46.74418604651163,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":644},{"alpha_index":459,"clock_position":459,"value":731},{"alpha_index":717,"clock_position":717,"value":87},{"alpha_index":975,"clock_position":975,"value":129},{"alpha_index":1233,"clock_position":1233,"value":42},{"alpha_index":1491,"clock_position":1491,"value":686}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,460,718,976,1234,1492],"clock_positions":[202,460,718,976,1234,1492],"native_values":[682,161,252,91,612,521],"rotation_degrees":46.97674418604651,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":682},{"alpha_index":460,"clock_position":460,"value":161},{"alpha_index":718,"clock_position":718,"value":252},{"alpha_index":976,"clock_position":976,"value":91},{"alpha_index":1234,"clock_position":1234,"value":612},{"alpha_index":1492,"clock_position":1492,"value":521}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,461,719,977,1235,1493],"clock_positions":[203,461,719,977,1235,1493],"native_values":[553,119,339,220,654,434],"rotation_degrees":47.2093023255814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":553},{"alpha_index":461,"clock_position":461,"value":119},{"alpha_index":719,"clock_position":719,"value":339},{"alpha_index":977,"clock_position":977,"value":220},{"alpha_index":1235,"clock_position":1235,"value":654},{"alpha_index":1493,"clock_position":1493,"value":434}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,462,720,978,1236,1494],"clock_positions":[204,462,720,978,1236,1494],"native_values":[462,280,591,311,493,182],"rotation_degrees":47.44186046511628,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":462},{"alpha_index":462,"clock_position":462,"value":280},{"alpha_index":720,"clock_position":720,"value":591},{"alpha_index":978,"clock_position":978,"value":311},{"alpha_index":1236,"clock_position":1236,"value":493},{"alpha_index":1494,"clock_position":1494,"value":182}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,463,721,979,1237,1495],"clock_positions":[205,463,721,979,1237,1495],"native_values":[242,399,157,531,374,616],"rotation_degrees":47.674418604651166,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":242},{"alpha_index":463,"clock_position":463,"value":399},{"alpha_index":721,"clock_position":721,"value":157},{"alpha_index":979,"clock_position":979,"value":531},{"alpha_index":1237,"clock_position":1237,"value":374},{"alpha_index":1495,"clock_position":1495,"value":616}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,464,722,980,1238,1496],"clock_positions":[206,464,722,980,1238,1496],"native_values":[704,679,748,69,94,25],"rotation_degrees":47.906976744186046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":704},{"alpha_index":464,"clock_position":464,"value":679},{"alpha_index":722,"clock_position":722,"value":748},{"alpha_index":980,"clock_position":980,"value":69},{"alpha_index":1238,"clock_position":1238,"value":94},{"alpha_index":1496,"clock_position":1496,"value":25}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,465,723,981,1239,1497],"clock_positions":[207,465,723,981,1239,1497],"native_values":[173,305,132,600,468,641],"rotation_degrees":48.13953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":173},{"alpha_index":465,"clock_position":465,"value":305},{"alpha_index":723,"clock_position":723,"value":132},{"alpha_index":981,"clock_position":981,"value":600},{"alpha_index":1239,"clock_position":1239,"value":468},{"alpha_index":1497,"clock_position":1497,"value":641}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,466,724,982,1240,1498],"clock_positions":[208,466,724,982,1240,1498],"native_values":[104,211,107,669,562,666],"rotation_degrees":48.372093023255815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":104},{"alpha_index":466,"clock_position":466,"value":211},{"alpha_index":724,"clock_position":724,"value":107},{"alpha_index":982,"clock_position":982,"value":669},{"alpha_index":1240,"clock_position":1240,"value":562},{"alpha_index":1498,"clock_position":1498,"value":666}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,467,725,983,1241,1499],"clock_positions":[209,467,725,983,1241,1499],"native_values":[277,516,239,496,257,534],"rotation_degrees":48.604651162790695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":277},{"alpha_index":467,"clock_position":467,"value":516},{"alpha_index":725,"clock_position":725,"value":239},{"alpha_index":983,"clock_position":983,"value":496},{"alpha_index":1241,"clock_position":1241,"value":257},{"alpha_index":1499,"clock_position":1499,"value":534}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,468,726,984,1242,1500],"clock_positions":[210,468,726,984,1242,1500],"native_values":[381,727,346,392,46,427],"rotation_degrees":48.83720930232558,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":381},{"alpha_index":468,"clock_position":468,"value":727},{"alpha_index":726,"clock_position":726,"value":346},{"alpha_index":984,"clock_position":984,"value":392},{"alpha_index":1242,"clock_position":1242,"value":46},{"alpha_index":1500,"clock_position":1500,"value":427}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,469,727,985,1243,1501],"clock_positions":[211,469,727,985,1243,1501],"native_values":[658,470,585,115,303,188],"rotation_degrees":49.06976744186046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":658},{"alpha_index":469,"clock_position":469,"value":470},{"alpha_index":727,"clock_position":727,"value":585},{"alpha_index":985,"clock_position":985,"value":115},{"alpha_index":1243,"clock_position":1243,"value":303},{"alpha_index":1501,"clock_position":1501,"value":188}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,470,728,986,1244,1502],"clock_positions":[212,470,728,986,1244,1502],"native_values":[266,424,158,507,349,615],"rotation_degrees":49.30232558139535,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":266},{"alpha_index":470,"clock_position":470,"value":424},{"alpha_index":728,"clock_position":728,"value":158},{"alpha_index":986,"clock_position":986,"value":507},{"alpha_index":1244,"clock_position":1244,"value":349},{"alpha_index":1502,"clock_position":1502,"value":615}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,471,729,987,1245,1503],"clock_positions":[213,471,729,987,1245,1503],"native_values":[151,121,743,622,652,30],"rotation_degrees":49.53488372093023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":151},{"alpha_index":471,"clock_position":471,"value":121},{"alpha_index":729,"clock_position":729,"value":743},{"alpha_index":987,"clock_position":987,"value":622},{"alpha_index":1245,"clock_position":1245,"value":652},{"alpha_index":1503,"clock_position":1503,"value":30}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,472,730,988,1246,1504],"clock_positions":[214,472,730,988,1246,1504],"native_values":[417,545,128,356,228,645],"rotation_degrees":49.76744186046512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":417},{"alpha_index":472,"clock_position":472,"value":545},{"alpha_index":730,"clock_position":730,"value":128},{"alpha_index":988,"clock_position":988,"value":356},{"alpha_index":1246,"clock_position":1246,"value":228},{"alpha_index":1504,"clock_position":1504,"value":645}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,473,731,989,1247,1505],"clock_positions":[215,473,731,989,1247,1505],"native_values":[568,666,98,205,107,675],"rotation_degrees":50.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":568},{"alpha_index":473,"clock_position":473,"value":666},{"alpha_index":731,"clock_position":731,"value":98},{"alpha_index":989,"clock_position":989,"value":205},{"alpha_index":1247,"clock_position":1247,"value":107},{"alpha_index":1505,"clock_position":1505,"value":675}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,474,732,990,1248,1506],"clock_positions":[216,474,732,990,1248,1506],"native_values":[212,438,226,561,335,547],"rotation_degrees":50.23255813953488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":212},{"alpha_index":474,"clock_position":474,"value":438},{"alpha_index":732,"clock_position":732,"value":226},{"alpha_index":990,"clock_position":990,"value":561},{"alpha_index":1248,"clock_position":1248,"value":335},{"alpha_index":1506,"clock_position":1506,"value":547}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,475,733,991,1249,1507],"clock_positions":[217,475,733,991,1249,1507],"native_values":[7,331,324,766,442,449],"rotation_degrees":50.46511627906977,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":7},{"alpha_index":475,"clock_position":475,"value":331},{"alpha_index":733,"clock_position":733,"value":324},{"alpha_index":991,"clock_position":991,"value":766},{"alpha_index":1249,"clock_position":1249,"value":442},{"alpha_index":1507,"clock_position":1507,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,476,734,992,1250,1508],"clock_positions":[218,476,734,992,1250,1508],"native_values":[219,769,550,554,4,223],"rotation_degrees":50.69767441860465,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":219},{"alpha_index":476,"clock_position":476,"value":769},{"alpha_index":734,"clock_position":734,"value":550},{"alpha_index":992,"clock_position":992,"value":554},{"alpha_index":1250,"clock_position":1250,"value":4},{"alpha_index":1508,"clock_position":1508,"value":223}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,477,735,993,1251,1509],"clock_positions":[219,477,735,993,1251,1509],"native_values":[226,327,101,547,446,672],"rotation_degrees":50.93023255813954,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":226},{"alpha_index":477,"clock_position":477,"value":327},{"alpha_index":735,"clock_position":735,"value":101},{"alpha_index":993,"clock_position":993,"value":547},{"alpha_index":1251,"clock_position":1251,"value":446},{"alpha_index":1509,"clock_position":1509,"value":672}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-220","alpha_indices":[220,478,736,994,1252,1510],"clock_positions":[220,478,736,994,1252,1510],"native_values":[445,323,651,328,450,122],"rotation_degrees":51.16279069767442,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":220,"clock_position":220,"value":445},{"alpha_index":478,"clock_position":478,"value":323},{"alpha_index":736,"clock_position":736,"value":651},{"alpha_index":994,"clock_position":994,"value":328},{"alpha_index":1252,"clock_position":1252,"value":450},{"alpha_index":1510,"clock_position":1510,"value":122}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-221","alpha_indices":[221,479,737,995,1253,1511],"clock_positions":[221,479,737,995,1253,1511],"native_values":[671,650,752,102,123,21],"rotation_degrees":51.395348837209305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":221,"clock_position":221,"value":671},{"alpha_index":479,"clock_position":479,"value":650},{"alpha_index":737,"clock_position":737,"value":752},{"alpha_index":995,"clock_position":995,"value":102},{"alpha_index":1253,"clock_position":1253,"value":123},{"alpha_index":1511,"clock_position":1511,"value":21}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-222","alpha_indices":[222,480,738,996,1254,1512],"clock_positions":[222,480,738,996,1254,1512],"native_values":[343,200,630,430,573,143],"rotation_degrees":51.627906976744185,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":343},{"alpha_index":480,"clock_position":480,"value":200},{"alpha_index":738,"clock_position":738,"value":630},{"alpha_index":996,"clock_position":996,"value":430},{"alpha_index":1254,"clock_position":1254,"value":573},{"alpha_index":1512,"clock_position":1512,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-223","alpha_indices":[223,481,739,997,1255,1513],"clock_positions":[223,481,739,997,1255,1513],"native_values":[241,77,609,532,696,164],"rotation_degrees":51.86046511627907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":223,"clock_position":223,"value":241},{"alpha_index":481,"clock_position":481,"value":77},{"alpha_index":739,"clock_position":739,"value":609},{"alpha_index":997,"clock_position":997,"value":532},{"alpha_index":1255,"clock_position":1255,"value":696},{"alpha_index":1513,"clock_position":1513,"value":164}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-224","alpha_indices":[224,482,740,998,1256,1514],"clock_positions":[224,482,740,998,1256,1514],"native_values":[584,277,466,189,496,307],"rotation_degrees":52.093023255813954,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":584},{"alpha_index":482,"clock_position":482,"value":277},{"alpha_index":740,"clock_position":740,"value":466},{"alpha_index":998,"clock_position":998,"value":189},{"alpha_index":1256,"clock_position":1256,"value":496},{"alpha_index":1514,"clock_position":1514,"value":307}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-225","alpha_indices":[225,483,741,999,1257,1515],"clock_positions":[225,483,741,999,1257,1515],"native_values":[52,354,302,721,419,471],"rotation_degrees":52.325581395348834,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":225,"clock_position":225,"value":52},{"alpha_index":483,"clock_position":483,"value":354},{"alpha_index":741,"clock_position":741,"value":302},{"alpha_index":999,"clock_position":999,"value":721},{"alpha_index":1257,"clock_position":1257,"value":419},{"alpha_index":1515,"clock_position":1515,"value":471}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-226","alpha_indices":[226,484,742,1000,1258,1516],"clock_positions":[226,484,742,1000,1258,1516],"native_values":[636,631,768,137,142,5],"rotation_degrees":52.55813953488372,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":226,"clock_position":226,"value":636},{"alpha_index":484,"clock_position":484,"value":631},{"alpha_index":742,"clock_position":742,"value":768},{"alpha_index":1000,"clock_position":1000,"value":137},{"alpha_index":1258,"clock_position":1258,"value":142},{"alpha_index":1516,"clock_position":1516,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-227","alpha_indices":[227,485,743,1001,1259,1517],"clock_positions":[227,485,743,1001,1259,1517],"native_values":[688,212,297,85,561,476],"rotation_degrees":52.7906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":227,"clock_position":227,"value":688},{"alpha_index":485,"clock_position":485,"value":212},{"alpha_index":743,"clock_position":743,"value":297},{"alpha_index":1001,"clock_position":1001,"value":85},{"alpha_index":1259,"clock_position":1259,"value":561},{"alpha_index":1517,"clock_position":1517,"value":476}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-228","alpha_indices":[228,486,744,1002,1260,1518],"clock_positions":[228,486,744,1002,1260,1518],"native_values":[551,70,292,222,703,481],"rotation_degrees":53.02325581395349,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":228,"clock_position":228,"value":551},{"alpha_index":486,"clock_position":486,"value":70},{"alpha_index":744,"clock_position":744,"value":292},{"alpha_index":1002,"clock_position":1002,"value":222},{"alpha_index":1260,"clock_position":1260,"value":703},{"alpha_index":1518,"clock_position":1518,"value":481}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-229","alpha_indices":[229,487,745,1003,1261,1519],"clock_positions":[229,487,745,1003,1261,1519],"native_values":[466,282,589,307,491,184],"rotation_degrees":53.25581395348837,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":229,"clock_position":229,"value":466},{"alpha_index":487,"clock_position":487,"value":282},{"alpha_index":745,"clock_position":745,"value":589},{"alpha_index":1003,"clock_position":1003,"value":307},{"alpha_index":1261,"clock_position":1261,"value":491},{"alpha_index":1519,"clock_position":1519,"value":184}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-230","alpha_indices":[230,488,746,1004,1262,1520],"clock_positions":[230,488,746,1004,1262,1520],"native_values":[244,352,108,529,421,665],"rotation_degrees":53.48837209302326,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":230,"clock_position":230,"value":244},{"alpha_index":488,"clock_position":488,"value":352},{"alpha_index":746,"clock_position":746,"value":108},{"alpha_index":1004,"clock_position":1004,"value":529},{"alpha_index":1262,"clock_position":1262,"value":421},{"alpha_index":1520,"clock_position":1520,"value":665}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-231","alpha_indices":[231,489,747,1005,1263,1521],"clock_positions":[231,489,747,1005,1263,1521],"native_values":[710,634,697,63,139,76],"rotation_degrees":53.72093023255814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":231,"clock_position":231,"value":710},{"alpha_index":489,"clock_position":489,"value":634},{"alpha_index":747,"clock_position":747,"value":697},{"alpha_index":1005,"clock_position":1005,"value":63},{"alpha_index":1263,"clock_position":1263,"value":139},{"alpha_index":1521,"clock_position":1521,"value":76}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-232","alpha_indices":[232,490,748,1006,1264,1522],"clock_positions":[232,490,748,1006,1264,1522],"native_values":[181,213,32,592,560,741],"rotation_degrees":53.95348837209303,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":232,"clock_position":232,"value":181},{"alpha_index":490,"clock_position":490,"value":213},{"alpha_index":748,"clock_position":748,"value":32},{"alpha_index":1006,"clock_position":1006,"value":592},{"alpha_index":1264,"clock_position":1264,"value":560},{"alpha_index":1522,"clock_position":1522,"value":741}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-233","alpha_indices":[233,491,749,1007,1265,1523],"clock_positions":[233,491,749,1007,1265,1523],"native_values":[118,74,729,655,699,44],"rotation_degrees":54.18604651162791,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":233,"clock_position":233,"value":118},{"alpha_index":491,"clock_position":491,"value":74},{"alpha_index":749,"clock_position":749,"value":729},{"alpha_index":1007,"clock_position":1007,"value":655},{"alpha_index":1265,"clock_position":1265,"value":699},{"alpha_index":1523,"clock_position":1523,"value":44}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-234","alpha_indices":[234,492,750,1008,1266,1524],"clock_positions":[234,492,750,1008,1266,1524],"native_values":[299,287,761,474,486,12],"rotation_degrees":54.41860465116279,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":234,"clock_position":234,"value":299},{"alpha_index":492,"clock_position":492,"value":287},{"alpha_index":750,"clock_position":750,"value":761},{"alpha_index":1008,"clock_position":1008,"value":474},{"alpha_index":1266,"clock_position":1266,"value":486},{"alpha_index":1524,"clock_position":1524,"value":12}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-235","alpha_indices":[235,493,751,1009,1267,1525],"clock_positions":[235,493,751,1009,1267,1525],"native_values":[417,361,717,356,412,56],"rotation_degrees":54.651162790697676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":235,"clock_position":235,"value":417},{"alpha_index":493,"clock_position":493,"value":361},{"alpha_index":751,"clock_position":751,"value":717},{"alpha_index":1009,"clock_position":1009,"value":356},{"alpha_index":1267,"clock_position":1267,"value":412},{"alpha_index":1525,"clock_position":1525,"value":56}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-236","alpha_indices":[236,494,752,1010,1268,1526],"clock_positions":[236,494,752,1010,1268,1526],"native_values":[716,648,705,57,125,68],"rotation_degrees":54.883720930232556,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":236,"clock_position":236,"value":716},{"alpha_index":494,"clock_position":494,"value":648},{"alpha_index":752,"clock_position":752,"value":705},{"alpha_index":1010,"clock_position":1010,"value":57},{"alpha_index":1268,"clock_position":1268,"value":125},{"alpha_index":1526,"clock_position":1526,"value":68}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-237","alpha_indices":[237,495,753,1011,1269,1527],"clock_positions":[237,495,753,1011,1269,1527],"native_values":[360,236,649,413,537,124],"rotation_degrees":55.116279069767444,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":237,"clock_position":237,"value":360},{"alpha_index":495,"clock_position":495,"value":236},{"alpha_index":753,"clock_position":753,"value":649},{"alpha_index":1011,"clock_position":1011,"value":413},{"alpha_index":1269,"clock_position":1269,"value":537},{"alpha_index":1527,"clock_position":1527,"value":124}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-238","alpha_indices":[238,496,754,1012,1270,1528],"clock_positions":[238,496,754,1012,1270,1528],"native_values":[303,111,581,470,662,192],"rotation_degrees":55.348837209302324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":238,"clock_position":238,"value":303},{"alpha_index":496,"clock_position":496,"value":111},{"alpha_index":754,"clock_position":754,"value":581},{"alpha_index":1012,"clock_position":1012,"value":470},{"alpha_index":1270,"clock_position":1270,"value":662},{"alpha_index":1528,"clock_position":1528,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-239","alpha_indices":[239,497,755,1013,1271,1529],"clock_positions":[239,497,755,1013,1271,1529],"native_values":[663,347,457,110,426,316],"rotation_degrees":55.58139534883721,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":239,"clock_position":239,"value":663},{"alpha_index":497,"clock_position":497,"value":347},{"alpha_index":755,"clock_position":755,"value":457},{"alpha_index":1013,"clock_position":1013,"value":110},{"alpha_index":1271,"clock_position":1271,"value":426},{"alpha_index":1529,"clock_position":1529,"value":316}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-240","alpha_indices":[240,498,756,1014,1272,1530],"clock_positions":[240,498,756,1014,1272,1530],"native_values":[193,458,265,580,315,508],"rotation_degrees":55.81395348837209,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":240,"clock_position":240,"value":193},{"alpha_index":498,"clock_position":498,"value":458},{"alpha_index":756,"clock_position":756,"value":265},{"alpha_index":1014,"clock_position":1014,"value":580},{"alpha_index":1272,"clock_position":1272,"value":315},{"alpha_index":1530,"clock_position":1530,"value":508}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-241","alpha_indices":[241,499,757,1015,1273,1531],"clock_positions":[241,499,757,1015,1273,1531],"native_values":[83,32,722,690,741,51],"rotation_degrees":56.04651162790697,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":241,"clock_position":241,"value":83},{"alpha_index":499,"clock_position":499,"value":32},{"alpha_index":757,"clock_position":757,"value":722},{"alpha_index":1015,"clock_position":1015,"value":690},{"alpha_index":1273,"clock_position":1273,"value":741},{"alpha_index":1531,"clock_position":1531,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-242","alpha_indices":[242,500,758,1016,1274,1532],"clock_positions":[242,500,758,1016,1274,1532],"native_values":[276,490,214,497,283,559],"rotation_degrees":56.27906976744186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":242,"clock_position":242,"value":276},{"alpha_index":500,"clock_position":500,"value":490},{"alpha_index":758,"clock_position":758,"value":214},{"alpha_index":1016,"clock_position":1016,"value":497},{"alpha_index":1274,"clock_position":1274,"value":283},{"alpha_index":1532,"clock_position":1532,"value":559}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-243","alpha_indices":[243,501,759,1017,1275,1533],"clock_positions":[243,501,759,1017,1275,1533],"native_values":[359,522,163,414,251,610],"rotation_degrees":56.51162790697674,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":243,"clock_position":243,"value":359},{"alpha_index":501,"clock_position":501,"value":522},{"alpha_index":759,"clock_position":759,"value":163},{"alpha_index":1017,"clock_position":1017,"value":414},{"alpha_index":1275,"clock_position":1275,"value":251},{"alpha_index":1533,"clock_position":1533,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-244","alpha_indices":[244,502,760,1018,1276,1534],"clock_positions":[244,502,760,1018,1276,1534],"native_values":[635,239,377,138,534,396],"rotation_degrees":56.74418604651163,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":244,"clock_position":244,"value":635},{"alpha_index":502,"clock_position":502,"value":239},{"alpha_index":760,"clock_position":760,"value":377},{"alpha_index":1018,"clock_position":1018,"value":138},{"alpha_index":1276,"clock_position":1276,"value":534},{"alpha_index":1534,"clock_position":1534,"value":396}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-245","alpha_indices":[245,503,761,1019,1277,1535],"clock_positions":[245,503,761,1019,1277,1535],"native_values":[221,761,540,552,12,233],"rotation_degrees":56.97674418604651,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":245,"clock_position":245,"value":221},{"alpha_index":503,"clock_position":503,"value":761},{"alpha_index":761,"clock_position":761,"value":540},{"alpha_index":1019,"clock_position":1019,"value":552},{"alpha_index":1277,"clock_position":1277,"value":12},{"alpha_index":1535,"clock_position":1535,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-246","alpha_indices":[246,504,762,1020,1278,1536],"clock_positions":[246,504,762,1020,1278,1536],"native_values":[83,227,144,690,546,629],"rotation_degrees":57.2093023255814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":246,"clock_position":246,"value":83},{"alpha_index":504,"clock_position":504,"value":227},{"alpha_index":762,"clock_position":762,"value":144},{"alpha_index":1020,"clock_position":1020,"value":690},{"alpha_index":1278,"clock_position":1278,"value":546},{"alpha_index":1536,"clock_position":1536,"value":629}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-247","alpha_indices":[247,505,763,1021,1279,1537],"clock_positions":[247,505,763,1021,1279,1537],"native_values":[304,215,684,469,558,89],"rotation_degrees":57.44186046511628,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":247,"clock_position":247,"value":304},{"alpha_index":505,"clock_position":505,"value":215},{"alpha_index":763,"clock_position":763,"value":684},{"alpha_index":1021,"clock_position":1021,"value":469},{"alpha_index":1279,"clock_position":1279,"value":558},{"alpha_index":1537,"clock_position":1537,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-248","alpha_indices":[248,506,764,1022,1280,1538],"clock_positions":[248,506,764,1022,1280,1538],"native_values":[387,442,55,386,331,718],"rotation_degrees":57.674418604651166,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":248,"clock_position":248,"value":387},{"alpha_index":506,"clock_position":506,"value":442},{"alpha_index":764,"clock_position":764,"value":55},{"alpha_index":1022,"clock_position":1022,"value":386},{"alpha_index":1280,"clock_position":1280,"value":331},{"alpha_index":1538,"clock_position":1538,"value":718}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-249","alpha_indices":[249,507,765,1023,1281,1539],"clock_positions":[249,507,765,1023,1281,1539],"native_values":[691,657,739,82,116,34],"rotation_degrees":57.906976744186046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":249,"clock_position":249,"value":691},{"alpha_index":507,"clock_position":507,"value":657},{"alpha_index":765,"clock_position":765,"value":739},{"alpha_index":1023,"clock_position":1023,"value":82},{"alpha_index":1281,"clock_position":1281,"value":116},{"alpha_index":1539,"clock_position":1539,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-250","alpha_indices":[250,508,766,1024,1282,1540],"clock_positions":[250,508,766,1024,1282,1540],"native_values":[305,326,21,468,447,752],"rotation_degrees":58.13953488372093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":250,"clock_position":250,"value":305},{"alpha_index":508,"clock_position":508,"value":326},{"alpha_index":766,"clock_position":766,"value":21},{"alpha_index":1024,"clock_position":1024,"value":468},{"alpha_index":1282,"clock_position":1282,"value":447},{"alpha_index":1540,"clock_position":1540,"value":752}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-251","alpha_indices":[251,509,767,1025,1283,1541],"clock_positions":[251,509,767,1025,1283,1541],"native_values":[223,210,760,550,563,13],"rotation_degrees":58.372093023255815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":251,"clock_position":251,"value":223},{"alpha_index":509,"clock_position":509,"value":210},{"alpha_index":767,"clock_position":767,"value":760},{"alpha_index":1025,"clock_position":1025,"value":550},{"alpha_index":1283,"clock_position":1283,"value":563},{"alpha_index":1541,"clock_position":1541,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-252","alpha_indices":[252,510,768,1026,1284,1542],"clock_positions":[252,510,768,1026,1284,1542],"native_values":[528,536,8,245,237,765],"rotation_degrees":58.604651162790695,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":252,"clock_position":252,"value":528},{"alpha_index":510,"clock_position":510,"value":536},{"alpha_index":768,"clock_position":768,"value":8},{"alpha_index":1026,"clock_position":1026,"value":245},{"alpha_index":1284,"clock_position":1284,"value":237},{"alpha_index":1542,"clock_position":1542,"value":765}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-253","alpha_indices":[253,511,769,1027,1285,1543],"clock_positions":[253,511,769,1027,1285,1543],"native_values":[751,746,768,22,27,5],"rotation_degrees":58.83720930232558,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":253,"clock_position":253,"value":751},{"alpha_index":511,"clock_position":511,"value":746},{"alpha_index":769,"clock_position":769,"value":768},{"alpha_index":1027,"clock_position":1027,"value":22},{"alpha_index":1285,"clock_position":1285,"value":27},{"alpha_index":1543,"clock_position":1543,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-254","alpha_indices":[254,512,770,1028,1286,1544],"clock_positions":[254,512,770,1028,1286,1544],"native_values":[506,509,3,267,264,770],"rotation_degrees":59.06976744186046,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":254,"clock_position":254,"value":506},{"alpha_index":512,"clock_position":512,"value":509},{"alpha_index":1028,"clock_position":1028,"value":267},{"alpha_index":1286,"clock_position":1286,"value":264},{"alpha_index":1544,"clock_position":1544,"value":770}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-255","alpha_indices":[255,513,771,1029,1287,1545],"clock_positions":[255,513,771,1029,1287,1545],"native_values":[484,482,771,289,291,2],"rotation_degrees":59.30232558139535,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":255,"clock_position":255,"value":484},{"alpha_index":513,"clock_position":513,"value":482},{"alpha_index":771,"clock_position":771,"value":771},{"alpha_index":1029,"clock_position":1029,"value":289},{"alpha_index":1287,"clock_position":1287,"value":291},{"alpha_index":1545,"clock_position":1545,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-256","alpha_indices":[256,514,772,1030,1288,1546],"clock_positions":[256,514,772,1030,1288,1546],"native_values":[217,218,1,556,555,772],"rotation_degrees":59.53488372093023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":256,"clock_position":256,"value":217},{"alpha_index":514,"clock_position":514,"value":218},{"alpha_index":772,"clock_position":772,"value":1},{"alpha_index":1030,"clock_position":1030,"value":556},{"alpha_index":1288,"clock_position":1288,"value":555},{"alpha_index":1546,"clock_position":1546,"value":772}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-257","alpha_indices":[257,515,773,1031,1289,1547],"clock_positions":[257,515,773,1031,1289,1547],"native_values":[701,700,772,72,73,1],"rotation_degrees":59.76744186046512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":257,"clock_position":257,"value":701},{"alpha_index":515,"clock_position":515,"value":700},{"alpha_index":773,"clock_position":773,"value":772},{"alpha_index":1031,"clock_position":1031,"value":72},{"alpha_index":1289,"clock_position":1289,"value":73},{"alpha_index":1547,"clock_position":1547,"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/m773/alpha.svg","png":"pilot-v1/views/m773/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m773/beta.svg","png":"pilot-v1/views/m773/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m773/gamma.svg","png":"pilot-v1/views/m773/gamma.png"},{"id":"fibonacci-m773p1548","name":"Fibonacci M773P1548","svg":"pilot-v1/views/m773/fibonacci-m773p1548.svg","png":"pilot-v1/views/m773/fibonacci-m773p1548.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}}
