{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m826-p1392","name":"Fibonacci M826P1392","modulus":826,"pisano_period":1392,"conventions":{"index_origin":0,"clock_labels":[1392,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391],"orientation":"clockwise from north","zero_display":826,"alpha_circle_positions":1392,"beta_circle_positions":826,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,161,771,106,51,157,208,365,573,112,685,797,656,627,457,258,715,147,36,183,219,402,621,197,818,189,181,370,551,95,646,741,561,476,211,687,72,759,5,764,769,707,650,531,355,60,415,475,64,539,603,316,93,409,502,85,587,672,433,279,712,165,51,216,267,483,750,407,331,738,243,155,398,553,125,678,803,655,632,461,267,728,169,71,240,311,551,36,587,623,384,181,565,746,485,405,64,469,533,176,709,59,768,1,769,770,713,657,544,375,93,468,561,203,764,141,79,220,299,519,818,511,503,188,691,53,744,797,715,686,575,435,184,619,803,596,573,343,90,433,523,130,653,783,610,567,351,92,443,535,152,687,13,700,713,587,474,235,709,118,1,119,120,239,359,598,131,729,34,763,797,734,705,613,492,279,771,224,169,393,562,129,691,820,685,679,538,391,103,494,597,265,36,301,337,638,149,787,110,71,181,252,433,685,292,151,443,594,211,805,190,169,359,528,61,589,650,413,237,650,61,711,772,657,603,434,211,645,30,675,705,554,433,161,594,755,523,452,149,601,750,525,449,148,597,745,516,435,125,560,685,419,278,697,149,20,169,189,358,547,79,626,705,505,384,63,447,510,131,641,772,587,533,294,1,295,296,591,61,652,713,539,426,139,565,704,443,321,764,259,197,456,653,283,110,393,503,70,573,643,390,207,597,804,575,553,302,29,331,360,691,225,90,315,405,720,299,193,492,685,351,210,561,771,506,451,131,582,713,469,356,825,355,354,709,237,120,357,477,8,485,493,152,645,797,616,587,377,138,515,653,342,169,511,680,365,219,584,803,561,538,273,811,258,243,501,744,419,337,756,267,197,464,661,299,134,433,567,174,741,89,4,93,97,190,287,477,764,415,353,768,295,237,532,769,475,418,67,485,552,211,763,148,85,233,318,551,43,594,637,405,216,621,11,632,643,449,266,715,155,44,199,243,442,685,301,160,461,621,256,51,307,358,665,197,36,233,269,502,771,447,392,13,405,418,823,415,412,1,413,414,1,415,416,5,421,426,21,447,468,89,557,646,377,197,574,771,519,464,157,621,778,573,525,272,797,243,214,457,671,302,147,449,596,219,815,208,197,405,602,181,783,138,95,233,328,561,63,624,687,485,346,5,351,356,707,237,118,355,473,2,475,477,126,603,729,506,409,89,498,587,259,20,279,299,578,51,629,680,483,337,820,331,325,656,155,811,140,125,265,390,655,219,48,267,315,582,71,653,724,551,449,174,623,797,594,565,333,72,405,477,56,533,589,296,59,355,414,769,357,300,657,131,788,93,55,148,203,351,554,79,633,712,519,405,98,503,601,278,53,331,384,715,273,162,435,597,206,803,183,160,343,503,20,523,543,240,783,197,154,351,505,30,535,565,274,13,287,300,587,61,648,709,531,414,119,533,652,359,185,544,729,447,350,797,321,292,613,79,692,771,637,582,393,149,542,691,407,272,679,125,804,103,81,184,265,449,714,337,225,562,787,523,484,181,665,20,685,705,564,443,181,624,805,603,582,359,115,474,589,237,0,237,237,474,711,359,244,603,21,624,645,443,262,705,141,20,161,181,342,523,39,562,601,337,112,449,561,184,745,103,22,125,147,272,419,691,284,149,433,582,189,771,134,79,213,292,505,797,476,447,97,544,641,359,174,533,707,414,295,709,178,61,239,300,539,13,552,565,291,30,321,351,672,197,43,240,283,523,806,503,483,160,643,803,620,597,391,162,553,715,442,331,773,278,225,503,728,405,307,712,193,79,272,351,623,148,771,93,38,131,169,300,469,769,412,355,767,296,237,533,770,477,421,72,493,565,232,797,203,174,377,551,102,653,755,582,511,267,778,219,171,390,561,125,686,811,671,656,501,331,6,337,343,680,197,51,248,299,547,20,567,587,328,89,417,506,97,603,700,477,351,2,353,355,708,237,119,356,475,5,480,485,139,624,763,561,498,233,731,138,43,181,224,405,629,208,11,219,230,449,679,302,155,457,612,243,29,272,301,573,48,621,669,464,307,771,252,197,449,646,269,89,358,447,805,426,405,5,410,415,825,414,413,1,414,415,3,418,421,13,434,447,55,502,557,233,790,197,161,358,519,51,570,621,365,160,525,685,384,243,627,44,671,715,560,449,183,632,815,621,610,405,189,594,783,551,508,233,741,148,63,211,274,485,759,418,351,769,294,237,531,768,473,415,62,477,539,190,729,93,822,89,85,174,259,433,692,299,165,464,629,267,70,337,407,744,325,243,568,811,553,538,265,803,242,219,461,680,315,169,484,653,311,138,449,587,210,797,181,152,333,485,818,477,469,120,589,709,472,355,1,356,357,713,244,131,375,506,55,561,616,351,141,492,633,299,106,405,511,90,601,691,466,331,797,302,273,575,22,597,619,390,183,573,756,503,433,110,543,653,370,197,567,764,505,443,122,565,687,426,287,713,174,61,235,296,531,1,532,533,239,772,185,131,316,447,763,384,321,705,200,79,279,358,637,169,806,149,129,278,407,685,266,125,391,516,81,597,678,449,301,750,225,149,374,523,71,594,665,433,272,705,151,30,181,211,392,603,169,772,115,61,176,237,413,650,237,61,298,359,657,190,21,211,232,443,675,292,141,433,574,181,755,110,39,149,188,337,525,36,561,597,332,103,435,538,147,685,6,691,697,562,433,169,602,771,547,492,213,705,92,797,63,34,97,131,228,359,587,120,707,1,708,709,591,474,239,713,126,13,139,152,291,443,734,351,259,610,43,653,696,523,393,90,483,573,230,803,207,184,391,575,140,715,29,744,773,691,638,503,315,818,307,299,606,79,685,764,623,561,358,93,451,544,169,713,56,769,825,768,767,709,650,533,357,64,421,485,80,565,645,384,203,587,790,551,515,240,755,169,98,267,365,632,171,803,148,125,273,398,671,243,88,331,419,750,343,267,610,51,661,712,547,433,154,587,741,502,417,93,510,603,287,64,351,415,766,355,295,650,119,769,62,5,67,72,139,211,350,561,85,646,731,551,456,181,637,818,629,621,424,219,643,36,679,715,568,457,199,656,29,685,714,573,461,208,669,51,720,771,665,610,449,233,682,89,771,34,805,13,818,5,823,2,825,1],"display_values":[826,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,161,771,106,51,157,208,365,573,112,685,797,656,627,457,258,715,147,36,183,219,402,621,197,818,189,181,370,551,95,646,741,561,476,211,687,72,759,5,764,769,707,650,531,355,60,415,475,64,539,603,316,93,409,502,85,587,672,433,279,712,165,51,216,267,483,750,407,331,738,243,155,398,553,125,678,803,655,632,461,267,728,169,71,240,311,551,36,587,623,384,181,565,746,485,405,64,469,533,176,709,59,768,1,769,770,713,657,544,375,93,468,561,203,764,141,79,220,299,519,818,511,503,188,691,53,744,797,715,686,575,435,184,619,803,596,573,343,90,433,523,130,653,783,610,567,351,92,443,535,152,687,13,700,713,587,474,235,709,118,1,119,120,239,359,598,131,729,34,763,797,734,705,613,492,279,771,224,169,393,562,129,691,820,685,679,538,391,103,494,597,265,36,301,337,638,149,787,110,71,181,252,433,685,292,151,443,594,211,805,190,169,359,528,61,589,650,413,237,650,61,711,772,657,603,434,211,645,30,675,705,554,433,161,594,755,523,452,149,601,750,525,449,148,597,745,516,435,125,560,685,419,278,697,149,20,169,189,358,547,79,626,705,505,384,63,447,510,131,641,772,587,533,294,1,295,296,591,61,652,713,539,426,139,565,704,443,321,764,259,197,456,653,283,110,393,503,70,573,643,390,207,597,804,575,553,302,29,331,360,691,225,90,315,405,720,299,193,492,685,351,210,561,771,506,451,131,582,713,469,356,825,355,354,709,237,120,357,477,8,485,493,152,645,797,616,587,377,138,515,653,342,169,511,680,365,219,584,803,561,538,273,811,258,243,501,744,419,337,756,267,197,464,661,299,134,433,567,174,741,89,4,93,97,190,287,477,764,415,353,768,295,237,532,769,475,418,67,485,552,211,763,148,85,233,318,551,43,594,637,405,216,621,11,632,643,449,266,715,155,44,199,243,442,685,301,160,461,621,256,51,307,358,665,197,36,233,269,502,771,447,392,13,405,418,823,415,412,1,413,414,1,415,416,5,421,426,21,447,468,89,557,646,377,197,574,771,519,464,157,621,778,573,525,272,797,243,214,457,671,302,147,449,596,219,815,208,197,405,602,181,783,138,95,233,328,561,63,624,687,485,346,5,351,356,707,237,118,355,473,2,475,477,126,603,729,506,409,89,498,587,259,20,279,299,578,51,629,680,483,337,820,331,325,656,155,811,140,125,265,390,655,219,48,267,315,582,71,653,724,551,449,174,623,797,594,565,333,72,405,477,56,533,589,296,59,355,414,769,357,300,657,131,788,93,55,148,203,351,554,79,633,712,519,405,98,503,601,278,53,331,384,715,273,162,435,597,206,803,183,160,343,503,20,523,543,240,783,197,154,351,505,30,535,565,274,13,287,300,587,61,648,709,531,414,119,533,652,359,185,544,729,447,350,797,321,292,613,79,692,771,637,582,393,149,542,691,407,272,679,125,804,103,81,184,265,449,714,337,225,562,787,523,484,181,665,20,685,705,564,443,181,624,805,603,582,359,115,474,589,237,826,237,237,474,711,359,244,603,21,624,645,443,262,705,141,20,161,181,342,523,39,562,601,337,112,449,561,184,745,103,22,125,147,272,419,691,284,149,433,582,189,771,134,79,213,292,505,797,476,447,97,544,641,359,174,533,707,414,295,709,178,61,239,300,539,13,552,565,291,30,321,351,672,197,43,240,283,523,806,503,483,160,643,803,620,597,391,162,553,715,442,331,773,278,225,503,728,405,307,712,193,79,272,351,623,148,771,93,38,131,169,300,469,769,412,355,767,296,237,533,770,477,421,72,493,565,232,797,203,174,377,551,102,653,755,582,511,267,778,219,171,390,561,125,686,811,671,656,501,331,6,337,343,680,197,51,248,299,547,20,567,587,328,89,417,506,97,603,700,477,351,2,353,355,708,237,119,356,475,5,480,485,139,624,763,561,498,233,731,138,43,181,224,405,629,208,11,219,230,449,679,302,155,457,612,243,29,272,301,573,48,621,669,464,307,771,252,197,449,646,269,89,358,447,805,426,405,5,410,415,825,414,413,1,414,415,3,418,421,13,434,447,55,502,557,233,790,197,161,358,519,51,570,621,365,160,525,685,384,243,627,44,671,715,560,449,183,632,815,621,610,405,189,594,783,551,508,233,741,148,63,211,274,485,759,418,351,769,294,237,531,768,473,415,62,477,539,190,729,93,822,89,85,174,259,433,692,299,165,464,629,267,70,337,407,744,325,243,568,811,553,538,265,803,242,219,461,680,315,169,484,653,311,138,449,587,210,797,181,152,333,485,818,477,469,120,589,709,472,355,1,356,357,713,244,131,375,506,55,561,616,351,141,492,633,299,106,405,511,90,601,691,466,331,797,302,273,575,22,597,619,390,183,573,756,503,433,110,543,653,370,197,567,764,505,443,122,565,687,426,287,713,174,61,235,296,531,1,532,533,239,772,185,131,316,447,763,384,321,705,200,79,279,358,637,169,806,149,129,278,407,685,266,125,391,516,81,597,678,449,301,750,225,149,374,523,71,594,665,433,272,705,151,30,181,211,392,603,169,772,115,61,176,237,413,650,237,61,298,359,657,190,21,211,232,443,675,292,141,433,574,181,755,110,39,149,188,337,525,36,561,597,332,103,435,538,147,685,6,691,697,562,433,169,602,771,547,492,213,705,92,797,63,34,97,131,228,359,587,120,707,1,708,709,591,474,239,713,126,13,139,152,291,443,734,351,259,610,43,653,696,523,393,90,483,573,230,803,207,184,391,575,140,715,29,744,773,691,638,503,315,818,307,299,606,79,685,764,623,561,358,93,451,544,169,713,56,769,825,768,767,709,650,533,357,64,421,485,80,565,645,384,203,587,790,551,515,240,755,169,98,267,365,632,171,803,148,125,273,398,671,243,88,331,419,750,343,267,610,51,661,712,547,433,154,587,741,502,417,93,510,603,287,64,351,415,766,355,295,650,119,769,62,5,67,72,139,211,350,561,85,646,731,551,456,181,637,818,629,621,424,219,643,36,679,715,568,457,199,656,29,685,714,573,461,208,669,51,720,771,665,610,449,233,682,89,771,34,805,13,818,5,823,2,825,1]},"gamma":{"alpha_indices":[0,4,8,12,17,19,23,28,30,32,33,34,35,36,37,40,46,47,50,51,52,58,60,65,67,72,74,76,77,78,79,80,81,84,85,90,95,99,102,105,110,117,122,124,125,126,127,130,134,141,146,151,153,158,160,161,166,171,177,182,187,189,190,191,194,196,205,207,216,222,228,233,236,238,239,242,243,244,245,249,255,256,259,261,262,272,277,279,280,281,282,288,292,297,302,306,310,313,315,316,317,318,324,326,327,328,329,330,333,335,336,337,338,342,346,348,350,351,352,353,358,363,366,371,374,376,378,379,380,381,384,385,392,393,394,397,401,405,407,414,420,423,425,426,427,437,443,445,450,454,455,458,465,471,472,473,474,481,482,485,487,488,491,496,499,503,506,507,511,512,513,514,518,521,527,528,529,530,534,538,541,544,555,557,558,559,560,561,567,570,572,573,574,575,582,584,585,586,589,593,596,598,599,606,608,609,610,611,614,620,621,622,625,627,633,636,638,639,646,647,650,655,657,658,666,668,672,674,683,684,687,689,690,693,695,696,697,698,699,700,703,704,705,706,709,710,714,716,722,728,735,736,737,740,745,750,753,759,762,764,765,766,767,768,771,776,781,783,790,793,799,802,803,807,814,817,819,825,828,831,833,835,836,837,838,844,846,851,856,860,863,865,866,870,871,876,879,881,882,885,889,893,900,901,905,906,907,908,911,912,919,921,922,926,927,930,932,937,946,947,948,949,952,954,955,956,962,965,967,968,969,970,974,976,980,982,984,985,986,987,991,994,995,996,999,1004,1007,1011,1013,1021,1024,1029,1032,1036,1039,1041,1048,1052,1055,1057,1058,1059,1060,1063,1065,1072,1075,1077,1078,1079,1080,1084,1088,1094,1095,1098,1102,1111,1113,1114,1115,1118,1124,1131,1132,1133,1134,1137,1138,1143,1147,1149,1153,1159,1162,1166,1168,1172,1174,1180,1184,1185,1186,1187,1190,1192,1194,1201,1203,1204,1205,1208,1212,1215,1218,1220,1221,1224,1228,1231,1236,1238,1239,1240,1241,1244,1251,1256,1260,1265,1267,1274,1275,1280,1286,1287,1293,1297,1300,1304,1307,1311,1313,1315,1322,1324,1325,1326,1327,1330,1341,1345,1350,1355,1357,1359,1368,1369,1372,1373,1374,1375,1382,1390],"clock_positions":[1392,4,8,12,17,19,23,28,30,32,33,34,35,36,37,40,46,47,50,51,52,58,60,65,67,72,74,76,77,78,79,80,81,84,85,90,95,99,102,105,110,117,122,124,125,126,127,130,134,141,146,151,153,158,160,161,166,171,177,182,187,189,190,191,194,196,205,207,216,222,228,233,236,238,239,242,243,244,245,249,255,256,259,261,262,272,277,279,280,281,282,288,292,297,302,306,310,313,315,316,317,318,324,326,327,328,329,330,333,335,336,337,338,342,346,348,350,351,352,353,358,363,366,371,374,376,378,379,380,381,384,385,392,393,394,397,401,405,407,414,420,423,425,426,427,437,443,445,450,454,455,458,465,471,472,473,474,481,482,485,487,488,491,496,499,503,506,507,511,512,513,514,518,521,527,528,529,530,534,538,541,544,555,557,558,559,560,561,567,570,572,573,574,575,582,584,585,586,589,593,596,598,599,606,608,609,610,611,614,620,621,622,625,627,633,636,638,639,646,647,650,655,657,658,666,668,672,674,683,684,687,689,690,693,695,696,697,698,699,700,703,704,705,706,709,710,714,716,722,728,735,736,737,740,745,750,753,759,762,764,765,766,767,768,771,776,781,783,790,793,799,802,803,807,814,817,819,825,828,831,833,835,836,837,838,844,846,851,856,860,863,865,866,870,871,876,879,881,882,885,889,893,900,901,905,906,907,908,911,912,919,921,922,926,927,930,932,937,946,947,948,949,952,954,955,956,962,965,967,968,969,970,974,976,980,982,984,985,986,987,991,994,995,996,999,1004,1007,1011,1013,1021,1024,1029,1032,1036,1039,1041,1048,1052,1055,1057,1058,1059,1060,1063,1065,1072,1075,1077,1078,1079,1080,1084,1088,1094,1095,1098,1102,1111,1113,1114,1115,1118,1124,1131,1132,1133,1134,1137,1138,1143,1147,1149,1153,1159,1162,1166,1168,1172,1174,1180,1184,1185,1186,1187,1190,1192,1194,1201,1203,1204,1205,1208,1212,1215,1218,1220,1221,1224,1228,1231,1236,1238,1239,1240,1241,1244,1251,1256,1260,1265,1267,1274,1275,1280,1286,1287,1293,1297,1300,1304,1307,1311,1313,1315,1322,1324,1325,1326,1327,1330,1341,1345,1350,1355,1357,1359,1368,1369,1372,1373,1374,1375,1382,1390],"clockwise_values":[826,3,21,144,771,51,573,627,258,147,36,183,219,402,621,189,741,561,687,72,759,531,60,603,93,672,279,165,51,216,267,483,750,738,243,678,267,240,36,384,405,768,657,375,93,468,561,141,519,744,435,573,90,783,567,351,687,474,120,729,705,492,279,771,393,129,597,36,252,594,528,237,711,657,603,645,30,675,705,594,750,525,597,516,435,189,705,384,63,447,510,294,591,426,321,456,393,573,390,207,597,804,360,225,90,315,405,720,492,351,210,561,771,582,825,354,237,120,357,477,645,138,342,219,561,273,258,243,501,744,756,267,567,174,741,93,477,768,237,552,318,594,405,216,621,243,621,51,36,771,447,405,414,426,21,447,468,771,519,621,573,525,243,147,219,405,783,138,561,63,624,687,351,237,477,126,603,729,498,279,51,483,390,219,48,267,315,582,174,594,333,72,405,477,414,357,300,657,93,351,633,519,405,384,273,162,435,597,183,543,240,783,351,30,300,648,531,414,729,447,321,771,582,393,804,81,714,225,705,564,624,603,582,474,237,826,237,237,474,711,603,21,624,645,705,141,342,39,561,147,582,189,771,213,447,174,414,300,552,291,30,321,351,672,240,483,597,162,225,405,351,771,93,300,237,477,72,174,102,582,267,219,171,390,561,501,6,51,567,417,603,477,351,708,237,480,624,561,498,138,405,219,612,243,573,48,621,669,771,252,447,426,405,825,414,414,3,447,519,51,570,621,525,384,243,627,183,621,405,189,594,783,741,63,759,351,294,237,531,768,477,729,93,822,174,165,267,744,243,219,315,138,210,333,477,120,357,375,561,351,141,492,633,405,90,273,597,390,183,573,756,543,567,687,426,174,531,447,384,321,705,279,129,516,81,597,678,750,225,594,705,30,603,237,237,657,21,675,141,39,525,36,561,597,435,147,6,771,492,213,705,63,228,120,708,591,474,126,291,351,696,393,90,483,573,207,744,315,606,561,93,825,768,357,645,384,240,267,171,273,243,750,267,51,741,417,93,510,603,351,72,561,456,621,219,36,714,573,669,51,720,771,771,825],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,1381,106,730,2250,457,715,0,0,0,0,0,1015,1843,0,687,0,0,2895,355,1493,316,1583,433,712,0,0,0,0,0,738,0,1231,2551,968,862,1210,1977,2010,2253,544,0,0,0,967,598,2764,2773,2202,343,1739,610,0,1222,2013,1182,1327,2328,613,0,0,393,562,4401,265,2574,2004,1734,1713,711,772,0,645,0,0,0,1148,2480,0,597,745,0,3102,1610,505,0,0,0,2664,592,1965,1851,1220,1046,573,643,0,0,0,1790,691,0,0,0,0,492,685,0,0,0,1088,1538,355,709,0,0,0,1138,2377,1168,1725,1387,538,811,0,0,0,756,0,2188,0,0,93,574,1532,295,2746,1440,594,637,0,0,3114,2049,256,1527,1004,0,405,2482,1258,0,0,0,2440,0,621,778,0,1069,1644,1045,1220,783,0,656,0,0,0,836,1063,1423,0,0,0,1004,866,877,1309,3965,655,0,0,0,0,2448,1420,565,0,0,0,1888,769,0,0,919,406,633,712,0,1864,715,0,0,0,1009,1549,0,0,351,505,1674,648,709,0,2392,0,1147,1676,637,0,2865,103,898,337,3907,0,624,805,0,474,589,0,0,0,0,0,603,0,0,0,705,0,362,523,2061,1179,2248,0,0,213,2070,1641,1240,1482,552,565,0,0,0,0,240,2115,2226,391,3092,1231,1563,771,0,338,3068,1303,421,2290,928,1408,511,778,0,0,0,2949,331,1557,1114,1004,603,700,0,710,0,955,624,763,0,964,448,848,2272,0,602,0,0,0,771,0,2008,805,0,830,0,414,415,1286,2853,0,0,0,525,685,0,0,2439,1447,610,0,0,0,1292,148,970,418,769,0,0,0,950,729,0,0,174,1683,1093,814,325,3780,1141,1617,1036,1130,1303,469,2482,1088,561,616,0,0,0,405,511,3188,597,619,0,0,0,1046,1220,2399,0,1000,592,2709,763,0,0,279,2119,2152,0,0,0,750,0,1117,1370,151,784,1293,1063,718,190,886,292,2053,674,0,0,0,435,538,685,3154,547,0,0,889,262,946,708,709,0,952,304,1177,1565,523,0,0,0,1033,2034,2605,1424,2151,358,2702,0,2659,1615,0,2646,1022,997,1076,1069,838,343,610,3094,502,0,0,0,351,3503,700,2013,2265,424,643,3988,0,669,0,0,0,2728,2500,1],"interval_residues":[4,26,178,555,106,730,598,457,715,0,0,0,0,0,189,191,0,687,0,0,417,355,667,316,757,433,712,0,0,0,0,0,738,0,405,73,142,36,384,325,358,601,544,0,0,0,141,598,286,295,550,343,87,610,0,396,361,356,501,676,613,0,0,393,562,271,265,96,352,82,61,711,772,0,645,0,0,0,322,2,0,597,745,0,624,784,505,0,0,0,186,592,313,199,394,220,573,643,0,0,0,138,691,0,0,0,0,492,685,0,0,0,262,712,355,709,0,0,0,312,725,342,73,561,538,811,0,0,0,756,0,536,0,0,93,574,706,295,268,614,594,637,0,0,636,397,256,701,178,0,405,4,432,0,0,0,788,0,621,778,0,243,818,219,394,783,0,656,0,0,0,10,237,597,0,0,0,178,40,51,483,661,655,0,0,0,0,796,594,565,0,0,0,236,769,0,0,93,406,633,712,0,212,715,0,0,0,183,723,0,0,351,505,22,648,709,0,740,0,321,24,637,0,387,103,72,337,603,0,624,805,0,474,589,0,0,0,0,0,603,0,0,0,705,0,362,523,409,353,596,0,0,213,418,815,414,656,552,565,0,0,0,0,240,463,574,391,614,405,737,771,0,338,590,477,421,638,102,582,511,778,0,0,0,471,331,731,288,178,603,700,0,710,0,129,624,763,0,138,448,22,620,0,602,0,0,0,771,0,356,805,0,4,0,414,415,460,375,0,0,0,525,685,0,0,787,621,610,0,0,0,466,148,144,418,769,0,0,0,124,729,0,0,174,31,267,814,325,476,315,791,210,304,477,469,4,262,561,616,0,0,0,405,511,710,597,619,0,0,0,220,394,747,0,174,592,231,763,0,0,279,467,500,0,0,0,750,0,291,544,151,784,467,237,718,190,60,292,401,674,0,0,0,435,538,685,676,547,0,0,63,262,120,708,709,0,126,304,351,739,523,0,0,0,207,382,127,598,499,358,224,0,181,789,0,168,196,171,250,243,12,343,610,616,502,0,0,0,351,199,700,361,613,424,643,684,0,669,0,0,0,250,22,1],"display_cycle":[4,26,178,555,106,730,598,457,715,826,826,826,826,826,189,191,826,687,826,826,417,355,667,316,757,433,712,826,826,826,826,826,738,826,405,73,142,36,384,325,358,601,544,826,826,826,141,598,286,295,550,343,87,610,826,396,361,356,501,676,613,826,826,393,562,271,265,96,352,82,61,711,772,826,645,826,826,826,322,2,826,597,745,826,624,784,505,826,826,826,186,592,313,199,394,220,573,643,826,826,826,138,691,826,826,826,826,492,685,826,826,826,262,712,355,709,826,826,826,312,725,342,73,561,538,811,826,826,826,756,826,536,826,826,93,574,706,295,268,614,594,637,826,826,636,397,256,701,178,826,405,4,432,826,826,826,788,826,621,778,826,243,818,219,394,783,826,656,826,826,826,10,237,597,826,826,826,178,40,51,483,661,655,826,826,826,826,796,594,565,826,826,826,236,769,826,826,93,406,633,712,826,212,715,826,826,826,183,723,826,826,351,505,22,648,709,826,740,826,321,24,637,826,387,103,72,337,603,826,624,805,826,474,589,826,826,826,826,826,603,826,826,826,705,826,362,523,409,353,596,826,826,213,418,815,414,656,552,565,826,826,826,826,240,463,574,391,614,405,737,771,826,338,590,477,421,638,102,582,511,778,826,826,826,471,331,731,288,178,603,700,826,710,826,129,624,763,826,138,448,22,620,826,602,826,826,826,771,826,356,805,826,4,826,414,415,460,375,826,826,826,525,685,826,826,787,621,610,826,826,826,466,148,144,418,769,826,826,826,124,729,826,826,174,31,267,814,325,476,315,791,210,304,477,469,4,262,561,616,826,826,826,405,511,710,597,619,826,826,826,220,394,747,826,174,592,231,763,826,826,279,467,500,826,826,826,750,826,291,544,151,784,467,237,718,190,60,292,401,674,826,826,826,435,538,685,676,547,826,826,63,262,120,708,709,826,126,304,351,739,523,826,826,826,207,382,127,598,499,358,224,826,181,789,826,168,196,171,250,243,12,343,610,616,502,826,826,826,351,199,700,361,613,424,643,684,826,669,826,826,826,250,22,1],"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":[233,377,610,161],"sum":1381,"residue":555},{"from_index":17,"to_index":19,"interior_indices":[18],"interior_values":[106],"sum":106,"residue":106},{"from_index":19,"to_index":23,"interior_indices":[20,21,22],"interior_values":[157,208,365],"sum":730,"residue":730},{"from_index":23,"to_index":28,"interior_indices":[24,25,26,27],"interior_values":[112,685,797,656],"sum":2250,"residue":598},{"from_index":28,"to_index":30,"interior_indices":[29],"interior_values":[457],"sum":457,"residue":457},{"from_index":30,"to_index":32,"interior_indices":[31],"interior_values":[715],"sum":715,"residue":715},{"from_index":32,"to_index":33,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":33,"to_index":34,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":34,"to_index":35,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":35,"to_index":36,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":36,"to_index":37,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":37,"to_index":40,"interior_indices":[38,39],"interior_values":[197,818],"sum":1015,"residue":189},{"from_index":40,"to_index":46,"interior_indices":[41,42,43,44,45],"interior_values":[181,370,551,95,646],"sum":1843,"residue":191},{"from_index":46,"to_index":47,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":47,"to_index":50,"interior_indices":[48,49],"interior_values":[476,211],"sum":687,"residue":687},{"from_index":50,"to_index":51,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":51,"to_index":52,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":52,"to_index":58,"interior_indices":[53,54,55,56,57],"interior_values":[5,764,769,707,650],"sum":2895,"residue":417},{"from_index":58,"to_index":60,"interior_indices":[59],"interior_values":[355],"sum":355,"residue":355},{"from_index":60,"to_index":65,"interior_indices":[61,62,63,64],"interior_values":[415,475,64,539],"sum":1493,"residue":667},{"from_index":65,"to_index":67,"interior_indices":[66],"interior_values":[316],"sum":316,"residue":316},{"from_index":67,"to_index":72,"interior_indices":[68,69,70,71],"interior_values":[409,502,85,587],"sum":1583,"residue":757},{"from_index":72,"to_index":74,"interior_indices":[73],"interior_values":[433],"sum":433,"residue":433},{"from_index":74,"to_index":76,"interior_indices":[75],"interior_values":[712],"sum":712,"residue":712},{"from_index":76,"to_index":77,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":77,"to_index":78,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":78,"to_index":79,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":79,"to_index":80,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":80,"to_index":81,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":81,"to_index":84,"interior_indices":[82,83],"interior_values":[407,331],"sum":738,"residue":738},{"from_index":84,"to_index":85,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":85,"to_index":90,"interior_indices":[86,87,88,89],"interior_values":[155,398,553,125],"sum":1231,"residue":405},{"from_index":90,"to_index":95,"interior_indices":[91,92,93,94],"interior_values":[803,655,632,461],"sum":2551,"residue":73},{"from_index":95,"to_index":99,"interior_indices":[96,97,98],"interior_values":[728,169,71],"sum":968,"residue":142},{"from_index":99,"to_index":102,"interior_indices":[100,101],"interior_values":[311,551],"sum":862,"residue":36},{"from_index":102,"to_index":105,"interior_indices":[103,104],"interior_values":[587,623],"sum":1210,"residue":384},{"from_index":105,"to_index":110,"interior_indices":[106,107,108,109],"interior_values":[181,565,746,485],"sum":1977,"residue":325},{"from_index":110,"to_index":117,"interior_indices":[111,112,113,114,115,116],"interior_values":[64,469,533,176,709,59],"sum":2010,"residue":358},{"from_index":117,"to_index":122,"interior_indices":[118,119,120,121],"interior_values":[1,769,770,713],"sum":2253,"residue":601},{"from_index":122,"to_index":124,"interior_indices":[123],"interior_values":[544],"sum":544,"residue":544},{"from_index":124,"to_index":125,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":125,"to_index":126,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":126,"to_index":127,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":127,"to_index":130,"interior_indices":[128,129],"interior_values":[203,764],"sum":967,"residue":141},{"from_index":130,"to_index":134,"interior_indices":[131,132,133],"interior_values":[79,220,299],"sum":598,"residue":598},{"from_index":134,"to_index":141,"interior_indices":[135,136,137,138,139,140],"interior_values":[818,511,503,188,691,53],"sum":2764,"residue":286},{"from_index":141,"to_index":146,"interior_indices":[142,143,144,145],"interior_values":[797,715,686,575],"sum":2773,"residue":295},{"from_index":146,"to_index":151,"interior_indices":[147,148,149,150],"interior_values":[184,619,803,596],"sum":2202,"residue":550},{"from_index":151,"to_index":153,"interior_indices":[152],"interior_values":[343],"sum":343,"residue":343},{"from_index":153,"to_index":158,"interior_indices":[154,155,156,157],"interior_values":[433,523,130,653],"sum":1739,"residue":87},{"from_index":158,"to_index":160,"interior_indices":[159],"interior_values":[610],"sum":610,"residue":610},{"from_index":160,"to_index":161,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":161,"to_index":166,"interior_indices":[162,163,164,165],"interior_values":[92,443,535,152],"sum":1222,"residue":396},{"from_index":166,"to_index":171,"interior_indices":[167,168,169,170],"interior_values":[13,700,713,587],"sum":2013,"residue":361},{"from_index":171,"to_index":177,"interior_indices":[172,173,174,175,176],"interior_values":[235,709,118,1,119],"sum":1182,"residue":356},{"from_index":177,"to_index":182,"interior_indices":[178,179,180,181],"interior_values":[239,359,598,131],"sum":1327,"residue":501},{"from_index":182,"to_index":187,"interior_indices":[183,184,185,186],"interior_values":[34,763,797,734],"sum":2328,"residue":676},{"from_index":187,"to_index":189,"interior_indices":[188],"interior_values":[613],"sum":613,"residue":613},{"from_index":189,"to_index":190,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":190,"to_index":191,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":191,"to_index":194,"interior_indices":[192,193],"interior_values":[224,169],"sum":393,"residue":393},{"from_index":194,"to_index":196,"interior_indices":[195],"interior_values":[562],"sum":562,"residue":562},{"from_index":196,"to_index":205,"interior_indices":[197,198,199,200,201,202,203,204],"interior_values":[691,820,685,679,538,391,103,494],"sum":4401,"residue":271},{"from_index":205,"to_index":207,"interior_indices":[206],"interior_values":[265],"sum":265,"residue":265},{"from_index":207,"to_index":216,"interior_indices":[208,209,210,211,212,213,214,215],"interior_values":[301,337,638,149,787,110,71,181],"sum":2574,"residue":96},{"from_index":216,"to_index":222,"interior_indices":[217,218,219,220,221],"interior_values":[433,685,292,151,443],"sum":2004,"residue":352},{"from_index":222,"to_index":228,"interior_indices":[223,224,225,226,227],"interior_values":[211,805,190,169,359],"sum":1734,"residue":82},{"from_index":228,"to_index":233,"interior_indices":[229,230,231,232],"interior_values":[61,589,650,413],"sum":1713,"residue":61},{"from_index":233,"to_index":236,"interior_indices":[234,235],"interior_values":[650,61],"sum":711,"residue":711},{"from_index":236,"to_index":238,"interior_indices":[237],"interior_values":[772],"sum":772,"residue":772},{"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":[434,211],"sum":645,"residue":645},{"from_index":242,"to_index":243,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":243,"to_index":244,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":244,"to_index":245,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":245,"to_index":249,"interior_indices":[246,247,248],"interior_values":[554,433,161],"sum":1148,"residue":322},{"from_index":249,"to_index":255,"interior_indices":[250,251,252,253,254],"interior_values":[755,523,452,149,601],"sum":2480,"residue":2},{"from_index":255,"to_index":256,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":256,"to_index":259,"interior_indices":[257,258],"interior_values":[449,148],"sum":597,"residue":597},{"from_index":259,"to_index":261,"interior_indices":[260],"interior_values":[745],"sum":745,"residue":745},{"from_index":261,"to_index":262,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":262,"to_index":272,"interior_indices":[263,264,265,266,267,268,269,270,271],"interior_values":[125,560,685,419,278,697,149,20,169],"sum":3102,"residue":624},{"from_index":272,"to_index":277,"interior_indices":[273,274,275,276],"interior_values":[358,547,79,626],"sum":1610,"residue":784},{"from_index":277,"to_index":279,"interior_indices":[278],"interior_values":[505],"sum":505,"residue":505},{"from_index":279,"to_index":280,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":280,"to_index":281,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":281,"to_index":282,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":282,"to_index":288,"interior_indices":[283,284,285,286,287],"interior_values":[131,641,772,587,533],"sum":2664,"residue":186},{"from_index":288,"to_index":292,"interior_indices":[289,290,291],"interior_values":[1,295,296],"sum":592,"residue":592},{"from_index":292,"to_index":297,"interior_indices":[293,294,295,296],"interior_values":[61,652,713,539],"sum":1965,"residue":313},{"from_index":297,"to_index":302,"interior_indices":[298,299,300,301],"interior_values":[139,565,704,443],"sum":1851,"residue":199},{"from_index":302,"to_index":306,"interior_indices":[303,304,305],"interior_values":[764,259,197],"sum":1220,"residue":394},{"from_index":306,"to_index":310,"interior_indices":[307,308,309],"interior_values":[653,283,110],"sum":1046,"residue":220},{"from_index":310,"to_index":313,"interior_indices":[311,312],"interior_values":[503,70],"sum":573,"residue":573},{"from_index":313,"to_index":315,"interior_indices":[314],"interior_values":[643],"sum":643,"residue":643},{"from_index":315,"to_index":316,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":316,"to_index":317,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":317,"to_index":318,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":318,"to_index":324,"interior_indices":[319,320,321,322,323],"interior_values":[575,553,302,29,331],"sum":1790,"residue":138},{"from_index":324,"to_index":326,"interior_indices":[325],"interior_values":[691],"sum":691,"residue":691},{"from_index":326,"to_index":327,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":327,"to_index":328,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":328,"to_index":329,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":329,"to_index":330,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":330,"to_index":333,"interior_indices":[331,332],"interior_values":[299,193],"sum":492,"residue":492},{"from_index":333,"to_index":335,"interior_indices":[334],"interior_values":[685],"sum":685,"residue":685},{"from_index":335,"to_index":336,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":336,"to_index":337,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":337,"to_index":338,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":338,"to_index":342,"interior_indices":[339,340,341],"interior_values":[506,451,131],"sum":1088,"residue":262},{"from_index":342,"to_index":346,"interior_indices":[343,344,345],"interior_values":[713,469,356],"sum":1538,"residue":712},{"from_index":346,"to_index":348,"interior_indices":[347],"interior_values":[355],"sum":355,"residue":355},{"from_index":348,"to_index":350,"interior_indices":[349],"interior_values":[709],"sum":709,"residue":709},{"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":353,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":353,"to_index":358,"interior_indices":[354,355,356,357],"interior_values":[8,485,493,152],"sum":1138,"residue":312},{"from_index":358,"to_index":363,"interior_indices":[359,360,361,362],"interior_values":[797,616,587,377],"sum":2377,"residue":725},{"from_index":363,"to_index":366,"interior_indices":[364,365],"interior_values":[515,653],"sum":1168,"residue":342},{"from_index":366,"to_index":371,"interior_indices":[367,368,369,370],"interior_values":[169,511,680,365],"sum":1725,"residue":73},{"from_index":371,"to_index":374,"interior_indices":[372,373],"interior_values":[584,803],"sum":1387,"residue":561},{"from_index":374,"to_index":376,"interior_indices":[375],"interior_values":[538],"sum":538,"residue":538},{"from_index":376,"to_index":378,"interior_indices":[377],"interior_values":[811],"sum":811,"residue":811},{"from_index":378,"to_index":379,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":379,"to_index":380,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":380,"to_index":381,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":381,"to_index":384,"interior_indices":[382,383],"interior_values":[419,337],"sum":756,"residue":756},{"from_index":384,"to_index":385,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":385,"to_index":392,"interior_indices":[386,387,388,389,390,391],"interior_values":[197,464,661,299,134,433],"sum":2188,"residue":536},{"from_index":392,"to_index":393,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":393,"to_index":394,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":394,"to_index":397,"interior_indices":[395,396],"interior_values":[89,4],"sum":93,"residue":93},{"from_index":397,"to_index":401,"interior_indices":[398,399,400],"interior_values":[97,190,287],"sum":574,"residue":574},{"from_index":401,"to_index":405,"interior_indices":[402,403,404],"interior_values":[764,415,353],"sum":1532,"residue":706},{"from_index":405,"to_index":407,"interior_indices":[406],"interior_values":[295],"sum":295,"residue":295},{"from_index":407,"to_index":414,"interior_indices":[408,409,410,411,412,413],"interior_values":[532,769,475,418,67,485],"sum":2746,"residue":268},{"from_index":414,"to_index":420,"interior_indices":[415,416,417,418,419],"interior_values":[211,763,148,85,233],"sum":1440,"residue":614},{"from_index":420,"to_index":423,"interior_indices":[421,422],"interior_values":[551,43],"sum":594,"residue":594},{"from_index":423,"to_index":425,"interior_indices":[424],"interior_values":[637],"sum":637,"residue":637},{"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":437,"interior_indices":[428,429,430,431,432,433,434,435,436],"interior_values":[11,632,643,449,266,715,155,44,199],"sum":3114,"residue":636},{"from_index":437,"to_index":443,"interior_indices":[438,439,440,441,442],"interior_values":[442,685,301,160,461],"sum":2049,"residue":397},{"from_index":443,"to_index":445,"interior_indices":[444],"interior_values":[256],"sum":256,"residue":256},{"from_index":445,"to_index":450,"interior_indices":[446,447,448,449],"interior_values":[307,358,665,197],"sum":1527,"residue":701},{"from_index":450,"to_index":454,"interior_indices":[451,452,453],"interior_values":[233,269,502],"sum":1004,"residue":178},{"from_index":454,"to_index":455,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":455,"to_index":458,"interior_indices":[456,457],"interior_values":[392,13],"sum":405,"residue":405},{"from_index":458,"to_index":465,"interior_indices":[459,460,461,462,463,464],"interior_values":[418,823,415,412,1,413],"sum":2482,"residue":4},{"from_index":465,"to_index":471,"interior_indices":[466,467,468,469,470],"interior_values":[1,415,416,5,421],"sum":1258,"residue":432},{"from_index":471,"to_index":472,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":472,"to_index":473,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":473,"to_index":474,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":474,"to_index":481,"interior_indices":[475,476,477,478,479,480],"interior_values":[89,557,646,377,197,574],"sum":2440,"residue":788},{"from_index":481,"to_index":482,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":482,"to_index":485,"interior_indices":[483,484],"interior_values":[464,157],"sum":621,"residue":621},{"from_index":485,"to_index":487,"interior_indices":[486],"interior_values":[778],"sum":778,"residue":778},{"from_index":487,"to_index":488,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":488,"to_index":491,"interior_indices":[489,490],"interior_values":[272,797],"sum":1069,"residue":243},{"from_index":491,"to_index":496,"interior_indices":[492,493,494,495],"interior_values":[214,457,671,302],"sum":1644,"residue":818},{"from_index":496,"to_index":499,"interior_indices":[497,498],"interior_values":[449,596],"sum":1045,"residue":219},{"from_index":499,"to_index":503,"interior_indices":[500,501,502],"interior_values":[815,208,197],"sum":1220,"residue":394},{"from_index":503,"to_index":506,"interior_indices":[504,505],"interior_values":[602,181],"sum":783,"residue":783},{"from_index":506,"to_index":507,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":507,"to_index":511,"interior_indices":[508,509,510],"interior_values":[95,233,328],"sum":656,"residue":656},{"from_index":511,"to_index":512,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":512,"to_index":513,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":513,"to_index":514,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":514,"to_index":518,"interior_indices":[515,516,517],"interior_values":[485,346,5],"sum":836,"residue":10},{"from_index":518,"to_index":521,"interior_indices":[519,520],"interior_values":[356,707],"sum":1063,"residue":237},{"from_index":521,"to_index":527,"interior_indices":[522,523,524,525,526],"interior_values":[118,355,473,2,475],"sum":1423,"residue":597},{"from_index":527,"to_index":528,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":528,"to_index":529,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":529,"to_index":530,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":530,"to_index":534,"interior_indices":[531,532,533],"interior_values":[506,409,89],"sum":1004,"residue":178},{"from_index":534,"to_index":538,"interior_indices":[535,536,537],"interior_values":[587,259,20],"sum":866,"residue":40},{"from_index":538,"to_index":541,"interior_indices":[539,540],"interior_values":[299,578],"sum":877,"residue":51},{"from_index":541,"to_index":544,"interior_indices":[542,543],"interior_values":[629,680],"sum":1309,"residue":483},{"from_index":544,"to_index":555,"interior_indices":[545,546,547,548,549,550,551,552,553,554],"interior_values":[337,820,331,325,656,155,811,140,125,265],"sum":3965,"residue":661},{"from_index":555,"to_index":557,"interior_indices":[556],"interior_values":[655],"sum":655,"residue":655},{"from_index":557,"to_index":558,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":558,"to_index":559,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":559,"to_index":560,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":560,"to_index":561,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":561,"to_index":567,"interior_indices":[562,563,564,565,566],"interior_values":[71,653,724,551,449],"sum":2448,"residue":796},{"from_index":567,"to_index":570,"interior_indices":[568,569],"interior_values":[623,797],"sum":1420,"residue":594},{"from_index":570,"to_index":572,"interior_indices":[571],"interior_values":[565],"sum":565,"residue":565},{"from_index":572,"to_index":573,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":573,"to_index":574,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":574,"to_index":575,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":575,"to_index":582,"interior_indices":[576,577,578,579,580,581],"interior_values":[56,533,589,296,59,355],"sum":1888,"residue":236},{"from_index":582,"to_index":584,"interior_indices":[583],"interior_values":[769],"sum":769,"residue":769},{"from_index":584,"to_index":585,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":585,"to_index":586,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":586,"to_index":589,"interior_indices":[587,588],"interior_values":[131,788],"sum":919,"residue":93},{"from_index":589,"to_index":593,"interior_indices":[590,591,592],"interior_values":[55,148,203],"sum":406,"residue":406},{"from_index":593,"to_index":596,"interior_indices":[594,595],"interior_values":[554,79],"sum":633,"residue":633},{"from_index":596,"to_index":598,"interior_indices":[597],"interior_values":[712],"sum":712,"residue":712},{"from_index":598,"to_index":599,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":599,"to_index":606,"interior_indices":[600,601,602,603,604,605],"interior_values":[98,503,601,278,53,331],"sum":1864,"residue":212},{"from_index":606,"to_index":608,"interior_indices":[607],"interior_values":[715],"sum":715,"residue":715},{"from_index":608,"to_index":609,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":609,"to_index":610,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":610,"to_index":611,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":611,"to_index":614,"interior_indices":[612,613],"interior_values":[206,803],"sum":1009,"residue":183},{"from_index":614,"to_index":620,"interior_indices":[615,616,617,618,619],"interior_values":[160,343,503,20,523],"sum":1549,"residue":723},{"from_index":620,"to_index":621,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":621,"to_index":622,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":622,"to_index":625,"interior_indices":[623,624],"interior_values":[197,154],"sum":351,"residue":351},{"from_index":625,"to_index":627,"interior_indices":[626],"interior_values":[505],"sum":505,"residue":505},{"from_index":627,"to_index":633,"interior_indices":[628,629,630,631,632],"interior_values":[535,565,274,13,287],"sum":1674,"residue":22},{"from_index":633,"to_index":636,"interior_indices":[634,635],"interior_values":[587,61],"sum":648,"residue":648},{"from_index":636,"to_index":638,"interior_indices":[637],"interior_values":[709],"sum":709,"residue":709},{"from_index":638,"to_index":639,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":639,"to_index":646,"interior_indices":[640,641,642,643,644,645],"interior_values":[119,533,652,359,185,544],"sum":2392,"residue":740},{"from_index":646,"to_index":647,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":647,"to_index":650,"interior_indices":[648,649],"interior_values":[350,797],"sum":1147,"residue":321},{"from_index":650,"to_index":655,"interior_indices":[651,652,653,654],"interior_values":[292,613,79,692],"sum":1676,"residue":24},{"from_index":655,"to_index":657,"interior_indices":[656],"interior_values":[637],"sum":637,"residue":637},{"from_index":657,"to_index":658,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":658,"to_index":666,"interior_indices":[659,660,661,662,663,664,665],"interior_values":[149,542,691,407,272,679,125],"sum":2865,"residue":387},{"from_index":666,"to_index":668,"interior_indices":[667],"interior_values":[103],"sum":103,"residue":103},{"from_index":668,"to_index":672,"interior_indices":[669,670,671],"interior_values":[184,265,449],"sum":898,"residue":72},{"from_index":672,"to_index":674,"interior_indices":[673],"interior_values":[337],"sum":337,"residue":337},{"from_index":674,"to_index":683,"interior_indices":[675,676,677,678,679,680,681,682],"interior_values":[562,787,523,484,181,665,20,685],"sum":3907,"residue":603},{"from_index":683,"to_index":684,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":684,"to_index":687,"interior_indices":[685,686],"interior_values":[443,181],"sum":624,"residue":624},{"from_index":687,"to_index":689,"interior_indices":[688],"interior_values":[805],"sum":805,"residue":805},{"from_index":689,"to_index":690,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":690,"to_index":693,"interior_indices":[691,692],"interior_values":[359,115],"sum":474,"residue":474},{"from_index":693,"to_index":695,"interior_indices":[694],"interior_values":[589],"sum":589,"residue":589},{"from_index":695,"to_index":696,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":696,"to_index":697,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":697,"to_index":698,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":698,"to_index":699,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":699,"to_index":700,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":700,"to_index":703,"interior_indices":[701,702],"interior_values":[359,244],"sum":603,"residue":603},{"from_index":703,"to_index":704,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":709,"interior_indices":[707,708],"interior_values":[443,262],"sum":705,"residue":705},{"from_index":709,"to_index":710,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":710,"to_index":714,"interior_indices":[711,712,713],"interior_values":[20,161,181],"sum":362,"residue":362},{"from_index":714,"to_index":716,"interior_indices":[715],"interior_values":[523],"sum":523,"residue":523},{"from_index":716,"to_index":722,"interior_indices":[717,718,719,720,721],"interior_values":[562,601,337,112,449],"sum":2061,"residue":409},{"from_index":722,"to_index":728,"interior_indices":[723,724,725,726,727],"interior_values":[184,745,103,22,125],"sum":1179,"residue":353},{"from_index":728,"to_index":735,"interior_indices":[729,730,731,732,733,734],"interior_values":[272,419,691,284,149,433],"sum":2248,"residue":596},{"from_index":735,"to_index":736,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":736,"to_index":737,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":737,"to_index":740,"interior_indices":[738,739],"interior_values":[134,79],"sum":213,"residue":213},{"from_index":740,"to_index":745,"interior_indices":[741,742,743,744],"interior_values":[292,505,797,476],"sum":2070,"residue":418},{"from_index":745,"to_index":750,"interior_indices":[746,747,748,749],"interior_values":[97,544,641,359],"sum":1641,"residue":815},{"from_index":750,"to_index":753,"interior_indices":[751,752],"interior_values":[533,707],"sum":1240,"residue":414},{"from_index":753,"to_index":759,"interior_indices":[754,755,756,757,758],"interior_values":[295,709,178,61,239],"sum":1482,"residue":656},{"from_index":759,"to_index":762,"interior_indices":[760,761],"interior_values":[539,13],"sum":552,"residue":552},{"from_index":762,"to_index":764,"interior_indices":[763],"interior_values":[565],"sum":565,"residue":565},{"from_index":764,"to_index":765,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":765,"to_index":766,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":766,"to_index":767,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":767,"to_index":768,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":768,"to_index":771,"interior_indices":[769,770],"interior_values":[197,43],"sum":240,"residue":240},{"from_index":771,"to_index":776,"interior_indices":[772,773,774,775],"interior_values":[283,523,806,503],"sum":2115,"residue":463},{"from_index":776,"to_index":781,"interior_indices":[777,778,779,780],"interior_values":[160,643,803,620],"sum":2226,"residue":574},{"from_index":781,"to_index":783,"interior_indices":[782],"interior_values":[391],"sum":391,"residue":391},{"from_index":783,"to_index":790,"interior_indices":[784,785,786,787,788,789],"interior_values":[553,715,442,331,773,278],"sum":3092,"residue":614},{"from_index":790,"to_index":793,"interior_indices":[791,792],"interior_values":[503,728],"sum":1231,"residue":405},{"from_index":793,"to_index":799,"interior_indices":[794,795,796,797,798],"interior_values":[307,712,193,79,272],"sum":1563,"residue":737},{"from_index":799,"to_index":802,"interior_indices":[800,801],"interior_values":[623,148],"sum":771,"residue":771},{"from_index":802,"to_index":803,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":803,"to_index":807,"interior_indices":[804,805,806],"interior_values":[38,131,169],"sum":338,"residue":338},{"from_index":807,"to_index":814,"interior_indices":[808,809,810,811,812,813],"interior_values":[469,769,412,355,767,296],"sum":3068,"residue":590},{"from_index":814,"to_index":817,"interior_indices":[815,816],"interior_values":[533,770],"sum":1303,"residue":477},{"from_index":817,"to_index":819,"interior_indices":[818],"interior_values":[421],"sum":421,"residue":421},{"from_index":819,"to_index":825,"interior_indices":[820,821,822,823,824],"interior_values":[493,565,232,797,203],"sum":2290,"residue":638},{"from_index":825,"to_index":828,"interior_indices":[826,827],"interior_values":[377,551],"sum":928,"residue":102},{"from_index":828,"to_index":831,"interior_indices":[829,830],"interior_values":[653,755],"sum":1408,"residue":582},{"from_index":831,"to_index":833,"interior_indices":[832],"interior_values":[511],"sum":511,"residue":511},{"from_index":833,"to_index":835,"interior_indices":[834],"interior_values":[778],"sum":778,"residue":778},{"from_index":835,"to_index":836,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":836,"to_index":837,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":837,"to_index":838,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":838,"to_index":844,"interior_indices":[839,840,841,842,843],"interior_values":[125,686,811,671,656],"sum":2949,"residue":471},{"from_index":844,"to_index":846,"interior_indices":[845],"interior_values":[331],"sum":331,"residue":331},{"from_index":846,"to_index":851,"interior_indices":[847,848,849,850],"interior_values":[337,343,680,197],"sum":1557,"residue":731},{"from_index":851,"to_index":856,"interior_indices":[852,853,854,855],"interior_values":[248,299,547,20],"sum":1114,"residue":288},{"from_index":856,"to_index":860,"interior_indices":[857,858,859],"interior_values":[587,328,89],"sum":1004,"residue":178},{"from_index":860,"to_index":863,"interior_indices":[861,862],"interior_values":[506,97],"sum":603,"residue":603},{"from_index":863,"to_index":865,"interior_indices":[864],"interior_values":[700],"sum":700,"residue":700},{"from_index":865,"to_index":866,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":866,"to_index":870,"interior_indices":[867,868,869],"interior_values":[2,353,355],"sum":710,"residue":710},{"from_index":870,"to_index":871,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":871,"to_index":876,"interior_indices":[872,873,874,875],"interior_values":[119,356,475,5],"sum":955,"residue":129},{"from_index":876,"to_index":879,"interior_indices":[877,878],"interior_values":[485,139],"sum":624,"residue":624},{"from_index":879,"to_index":881,"interior_indices":[880],"interior_values":[763],"sum":763,"residue":763},{"from_index":881,"to_index":882,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":882,"to_index":885,"interior_indices":[883,884],"interior_values":[233,731],"sum":964,"residue":138},{"from_index":885,"to_index":889,"interior_indices":[886,887,888],"interior_values":[43,181,224],"sum":448,"residue":448},{"from_index":889,"to_index":893,"interior_indices":[890,891,892],"interior_values":[629,208,11],"sum":848,"residue":22},{"from_index":893,"to_index":900,"interior_indices":[894,895,896,897,898,899],"interior_values":[230,449,679,302,155,457],"sum":2272,"residue":620},{"from_index":900,"to_index":901,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":901,"to_index":905,"interior_indices":[902,903,904],"interior_values":[29,272,301],"sum":602,"residue":602},{"from_index":905,"to_index":906,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":906,"to_index":907,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":907,"to_index":908,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":908,"to_index":911,"interior_indices":[909,910],"interior_values":[464,307],"sum":771,"residue":771},{"from_index":911,"to_index":912,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":912,"to_index":919,"interior_indices":[913,914,915,916,917,918],"interior_values":[197,449,646,269,89,358],"sum":2008,"residue":356},{"from_index":919,"to_index":921,"interior_indices":[920],"interior_values":[805],"sum":805,"residue":805},{"from_index":921,"to_index":922,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":922,"to_index":926,"interior_indices":[923,924,925],"interior_values":[5,410,415],"sum":830,"residue":4},{"from_index":926,"to_index":927,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":927,"to_index":930,"interior_indices":[928,929],"interior_values":[413,1],"sum":414,"residue":414},{"from_index":930,"to_index":932,"interior_indices":[931],"interior_values":[415],"sum":415,"residue":415},{"from_index":932,"to_index":937,"interior_indices":[933,934,935,936],"interior_values":[418,421,13,434],"sum":1286,"residue":460},{"from_index":937,"to_index":946,"interior_indices":[938,939,940,941,942,943,944,945],"interior_values":[55,502,557,233,790,197,161,358],"sum":2853,"residue":375},{"from_index":946,"to_index":947,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":947,"to_index":948,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":948,"to_index":949,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":949,"to_index":952,"interior_indices":[950,951],"interior_values":[365,160],"sum":525,"residue":525},{"from_index":952,"to_index":954,"interior_indices":[953],"interior_values":[685],"sum":685,"residue":685},{"from_index":954,"to_index":955,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":955,"to_index":956,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":956,"to_index":962,"interior_indices":[957,958,959,960,961],"interior_values":[44,671,715,560,449],"sum":2439,"residue":787},{"from_index":962,"to_index":965,"interior_indices":[963,964],"interior_values":[632,815],"sum":1447,"residue":621},{"from_index":965,"to_index":967,"interior_indices":[966],"interior_values":[610],"sum":610,"residue":610},{"from_index":967,"to_index":968,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":968,"to_index":969,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":969,"to_index":970,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":970,"to_index":974,"interior_indices":[971,972,973],"interior_values":[551,508,233],"sum":1292,"residue":466},{"from_index":974,"to_index":976,"interior_indices":[975],"interior_values":[148],"sum":148,"residue":148},{"from_index":976,"to_index":980,"interior_indices":[977,978,979],"interior_values":[211,274,485],"sum":970,"residue":144},{"from_index":980,"to_index":982,"interior_indices":[981],"interior_values":[418],"sum":418,"residue":418},{"from_index":982,"to_index":984,"interior_indices":[983],"interior_values":[769],"sum":769,"residue":769},{"from_index":984,"to_index":985,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":985,"to_index":986,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":986,"to_index":987,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":987,"to_index":991,"interior_indices":[988,989,990],"interior_values":[473,415,62],"sum":950,"residue":124},{"from_index":991,"to_index":994,"interior_indices":[992,993],"interior_values":[539,190],"sum":729,"residue":729},{"from_index":994,"to_index":995,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":995,"to_index":996,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":996,"to_index":999,"interior_indices":[997,998],"interior_values":[89,85],"sum":174,"residue":174},{"from_index":999,"to_index":1004,"interior_indices":[1000,1001,1002,1003],"interior_values":[259,433,692,299],"sum":1683,"residue":31},{"from_index":1004,"to_index":1007,"interior_indices":[1005,1006],"interior_values":[464,629],"sum":1093,"residue":267},{"from_index":1007,"to_index":1011,"interior_indices":[1008,1009,1010],"interior_values":[70,337,407],"sum":814,"residue":814},{"from_index":1011,"to_index":1013,"interior_indices":[1012],"interior_values":[325],"sum":325,"residue":325},{"from_index":1013,"to_index":1021,"interior_indices":[1014,1015,1016,1017,1018,1019,1020],"interior_values":[568,811,553,538,265,803,242],"sum":3780,"residue":476},{"from_index":1021,"to_index":1024,"interior_indices":[1022,1023],"interior_values":[461,680],"sum":1141,"residue":315},{"from_index":1024,"to_index":1029,"interior_indices":[1025,1026,1027,1028],"interior_values":[169,484,653,311],"sum":1617,"residue":791},{"from_index":1029,"to_index":1032,"interior_indices":[1030,1031],"interior_values":[449,587],"sum":1036,"residue":210},{"from_index":1032,"to_index":1036,"interior_indices":[1033,1034,1035],"interior_values":[797,181,152],"sum":1130,"residue":304},{"from_index":1036,"to_index":1039,"interior_indices":[1037,1038],"interior_values":[485,818],"sum":1303,"residue":477},{"from_index":1039,"to_index":1041,"interior_indices":[1040],"interior_values":[469],"sum":469,"residue":469},{"from_index":1041,"to_index":1048,"interior_indices":[1042,1043,1044,1045,1046,1047],"interior_values":[589,709,472,355,1,356],"sum":2482,"residue":4},{"from_index":1048,"to_index":1052,"interior_indices":[1049,1050,1051],"interior_values":[713,244,131],"sum":1088,"residue":262},{"from_index":1052,"to_index":1055,"interior_indices":[1053,1054],"interior_values":[506,55],"sum":561,"residue":561},{"from_index":1055,"to_index":1057,"interior_indices":[1056],"interior_values":[616],"sum":616,"residue":616},{"from_index":1057,"to_index":1058,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1058,"to_index":1059,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1059,"to_index":1060,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1060,"to_index":1063,"interior_indices":[1061,1062],"interior_values":[299,106],"sum":405,"residue":405},{"from_index":1063,"to_index":1065,"interior_indices":[1064],"interior_values":[511],"sum":511,"residue":511},{"from_index":1065,"to_index":1072,"interior_indices":[1066,1067,1068,1069,1070,1071],"interior_values":[601,691,466,331,797,302],"sum":3188,"residue":710},{"from_index":1072,"to_index":1075,"interior_indices":[1073,1074],"interior_values":[575,22],"sum":597,"residue":597},{"from_index":1075,"to_index":1077,"interior_indices":[1076],"interior_values":[619],"sum":619,"residue":619},{"from_index":1077,"to_index":1078,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1078,"to_index":1079,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1079,"to_index":1080,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1080,"to_index":1084,"interior_indices":[1081,1082,1083],"interior_values":[503,433,110],"sum":1046,"residue":220},{"from_index":1084,"to_index":1088,"interior_indices":[1085,1086,1087],"interior_values":[653,370,197],"sum":1220,"residue":394},{"from_index":1088,"to_index":1094,"interior_indices":[1089,1090,1091,1092,1093],"interior_values":[764,505,443,122,565],"sum":2399,"residue":747},{"from_index":1094,"to_index":1095,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1095,"to_index":1098,"interior_indices":[1096,1097],"interior_values":[287,713],"sum":1000,"residue":174},{"from_index":1098,"to_index":1102,"interior_indices":[1099,1100,1101],"interior_values":[61,235,296],"sum":592,"residue":592},{"from_index":1102,"to_index":1111,"interior_indices":[1103,1104,1105,1106,1107,1108,1109,1110],"interior_values":[1,532,533,239,772,185,131,316],"sum":2709,"residue":231},{"from_index":1111,"to_index":1113,"interior_indices":[1112],"interior_values":[763],"sum":763,"residue":763},{"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":1118,"interior_indices":[1116,1117],"interior_values":[200,79],"sum":279,"residue":279},{"from_index":1118,"to_index":1124,"interior_indices":[1119,1120,1121,1122,1123],"interior_values":[358,637,169,806,149],"sum":2119,"residue":467},{"from_index":1124,"to_index":1131,"interior_indices":[1125,1126,1127,1128,1129,1130],"interior_values":[278,407,685,266,125,391],"sum":2152,"residue":500},{"from_index":1131,"to_index":1132,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1132,"to_index":1133,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1133,"to_index":1134,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1134,"to_index":1137,"interior_indices":[1135,1136],"interior_values":[449,301],"sum":750,"residue":750},{"from_index":1137,"to_index":1138,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1138,"to_index":1143,"interior_indices":[1139,1140,1141,1142],"interior_values":[149,374,523,71],"sum":1117,"residue":291},{"from_index":1143,"to_index":1147,"interior_indices":[1144,1145,1146],"interior_values":[665,433,272],"sum":1370,"residue":544},{"from_index":1147,"to_index":1149,"interior_indices":[1148],"interior_values":[151],"sum":151,"residue":151},{"from_index":1149,"to_index":1153,"interior_indices":[1150,1151,1152],"interior_values":[181,211,392],"sum":784,"residue":784},{"from_index":1153,"to_index":1159,"interior_indices":[1154,1155,1156,1157,1158],"interior_values":[169,772,115,61,176],"sum":1293,"residue":467},{"from_index":1159,"to_index":1162,"interior_indices":[1160,1161],"interior_values":[413,650],"sum":1063,"residue":237},{"from_index":1162,"to_index":1166,"interior_indices":[1163,1164,1165],"interior_values":[61,298,359],"sum":718,"residue":718},{"from_index":1166,"to_index":1168,"interior_indices":[1167],"interior_values":[190],"sum":190,"residue":190},{"from_index":1168,"to_index":1172,"interior_indices":[1169,1170,1171],"interior_values":[211,232,443],"sum":886,"residue":60},{"from_index":1172,"to_index":1174,"interior_indices":[1173],"interior_values":[292],"sum":292,"residue":292},{"from_index":1174,"to_index":1180,"interior_indices":[1175,1176,1177,1178,1179],"interior_values":[433,574,181,755,110],"sum":2053,"residue":401},{"from_index":1180,"to_index":1184,"interior_indices":[1181,1182,1183],"interior_values":[149,188,337],"sum":674,"residue":674},{"from_index":1184,"to_index":1185,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1185,"to_index":1186,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1186,"to_index":1187,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1187,"to_index":1190,"interior_indices":[1188,1189],"interior_values":[332,103],"sum":435,"residue":435},{"from_index":1190,"to_index":1192,"interior_indices":[1191],"interior_values":[538],"sum":538,"residue":538},{"from_index":1192,"to_index":1194,"interior_indices":[1193],"interior_values":[685],"sum":685,"residue":685},{"from_index":1194,"to_index":1201,"interior_indices":[1195,1196,1197,1198,1199,1200],"interior_values":[691,697,562,433,169,602],"sum":3154,"residue":676},{"from_index":1201,"to_index":1203,"interior_indices":[1202],"interior_values":[547],"sum":547,"residue":547},{"from_index":1203,"to_index":1204,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1204,"to_index":1205,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1205,"to_index":1208,"interior_indices":[1206,1207],"interior_values":[92,797],"sum":889,"residue":63},{"from_index":1208,"to_index":1212,"interior_indices":[1209,1210,1211],"interior_values":[34,97,131],"sum":262,"residue":262},{"from_index":1212,"to_index":1215,"interior_indices":[1213,1214],"interior_values":[359,587],"sum":946,"residue":120},{"from_index":1215,"to_index":1218,"interior_indices":[1216,1217],"interior_values":[707,1],"sum":708,"residue":708},{"from_index":1218,"to_index":1220,"interior_indices":[1219],"interior_values":[709],"sum":709,"residue":709},{"from_index":1220,"to_index":1221,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1221,"to_index":1224,"interior_indices":[1222,1223],"interior_values":[239,713],"sum":952,"residue":126},{"from_index":1224,"to_index":1228,"interior_indices":[1225,1226,1227],"interior_values":[13,139,152],"sum":304,"residue":304},{"from_index":1228,"to_index":1231,"interior_indices":[1229,1230],"interior_values":[443,734],"sum":1177,"residue":351},{"from_index":1231,"to_index":1236,"interior_indices":[1232,1233,1234,1235],"interior_values":[259,610,43,653],"sum":1565,"residue":739},{"from_index":1236,"to_index":1238,"interior_indices":[1237],"interior_values":[523],"sum":523,"residue":523},{"from_index":1238,"to_index":1239,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1239,"to_index":1240,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1240,"to_index":1241,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1241,"to_index":1244,"interior_indices":[1242,1243],"interior_values":[230,803],"sum":1033,"residue":207},{"from_index":1244,"to_index":1251,"interior_indices":[1245,1246,1247,1248,1249,1250],"interior_values":[184,391,575,140,715,29],"sum":2034,"residue":382},{"from_index":1251,"to_index":1256,"interior_indices":[1252,1253,1254,1255],"interior_values":[773,691,638,503],"sum":2605,"residue":127},{"from_index":1256,"to_index":1260,"interior_indices":[1257,1258,1259],"interior_values":[818,307,299],"sum":1424,"residue":598},{"from_index":1260,"to_index":1265,"interior_indices":[1261,1262,1263,1264],"interior_values":[79,685,764,623],"sum":2151,"residue":499},{"from_index":1265,"to_index":1267,"interior_indices":[1266],"interior_values":[358],"sum":358,"residue":358},{"from_index":1267,"to_index":1274,"interior_indices":[1268,1269,1270,1271,1272,1273],"interior_values":[451,544,169,713,56,769],"sum":2702,"residue":224},{"from_index":1274,"to_index":1275,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1275,"to_index":1280,"interior_indices":[1276,1277,1278,1279],"interior_values":[767,709,650,533],"sum":2659,"residue":181},{"from_index":1280,"to_index":1286,"interior_indices":[1281,1282,1283,1284,1285],"interior_values":[64,421,485,80,565],"sum":1615,"residue":789},{"from_index":1286,"to_index":1287,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1287,"to_index":1293,"interior_indices":[1288,1289,1290,1291,1292],"interior_values":[203,587,790,551,515],"sum":2646,"residue":168},{"from_index":1293,"to_index":1297,"interior_indices":[1294,1295,1296],"interior_values":[755,169,98],"sum":1022,"residue":196},{"from_index":1297,"to_index":1300,"interior_indices":[1298,1299],"interior_values":[365,632],"sum":997,"residue":171},{"from_index":1300,"to_index":1304,"interior_indices":[1301,1302,1303],"interior_values":[803,148,125],"sum":1076,"residue":250},{"from_index":1304,"to_index":1307,"interior_indices":[1305,1306],"interior_values":[398,671],"sum":1069,"residue":243},{"from_index":1307,"to_index":1311,"interior_indices":[1308,1309,1310],"interior_values":[88,331,419],"sum":838,"residue":12},{"from_index":1311,"to_index":1313,"interior_indices":[1312],"interior_values":[343],"sum":343,"residue":343},{"from_index":1313,"to_index":1315,"interior_indices":[1314],"interior_values":[610],"sum":610,"residue":610},{"from_index":1315,"to_index":1322,"interior_indices":[1316,1317,1318,1319,1320,1321],"interior_values":[661,712,547,433,154,587],"sum":3094,"residue":616},{"from_index":1322,"to_index":1324,"interior_indices":[1323],"interior_values":[502],"sum":502,"residue":502},{"from_index":1324,"to_index":1325,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1325,"to_index":1326,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1326,"to_index":1327,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1327,"to_index":1330,"interior_indices":[1328,1329],"interior_values":[287,64],"sum":351,"residue":351},{"from_index":1330,"to_index":1341,"interior_indices":[1331,1332,1333,1334,1335,1336,1337,1338,1339,1340],"interior_values":[415,766,355,295,650,119,769,62,5,67],"sum":3503,"residue":199},{"from_index":1341,"to_index":1345,"interior_indices":[1342,1343,1344],"interior_values":[139,211,350],"sum":700,"residue":700},{"from_index":1345,"to_index":1350,"interior_indices":[1346,1347,1348,1349],"interior_values":[85,646,731,551],"sum":2013,"residue":361},{"from_index":1350,"to_index":1355,"interior_indices":[1351,1352,1353,1354],"interior_values":[181,637,818,629],"sum":2265,"residue":613},{"from_index":1355,"to_index":1357,"interior_indices":[1356],"interior_values":[424],"sum":424,"residue":424},{"from_index":1357,"to_index":1359,"interior_indices":[1358],"interior_values":[643],"sum":643,"residue":643},{"from_index":1359,"to_index":1368,"interior_indices":[1360,1361,1362,1363,1364,1365,1366,1367],"interior_values":[679,715,568,457,199,656,29,685],"sum":3988,"residue":684},{"from_index":1368,"to_index":1369,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1369,"to_index":1372,"interior_indices":[1370,1371],"interior_values":[461,208],"sum":669,"residue":669},{"from_index":1372,"to_index":1373,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1373,"to_index":1374,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1374,"to_index":1375,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1375,"to_index":1382,"interior_indices":[1376,1377,1378,1379,1380,1381],"interior_values":[665,610,449,233,682,89],"sum":2728,"residue":250},{"from_index":1382,"to_index":1390,"interior_indices":[1383,1384,1385,1386,1387,1388,1389],"interior_values":[34,805,13,818,5,823,2],"sum":2500,"residue":22},{"from_index":1390,"to_index":0,"interior_indices":[1391],"interior_values":[1],"sum":1,"residue":1}],"minimal_cycle":[4,26,178,555,106,730,598,457,715,0,0,0,0,0,189,191,0,687,0,0,417,355,667,316,757,433,712,0,0,0,0,0,738,0,405,73,142,36,384,325,358,601,544,0,0,0,141,598,286,295,550,343,87,610,0,396,361,356,501,676,613,0,0,393,562,271,265,96,352,82,61,711,772,0,645,0,0,0,322,2,0,597,745,0,624,784,505,0,0,0,186,592,313,199,394,220,573,643,0,0,0,138,691,0,0,0,0,492,685,0,0,0,262,712,355,709,0,0,0,312,725,342,73,561,538,811,0,0,0,756,0,536,0,0,93,574,706,295,268,614,594,637,0,0,636,397,256,701,178,0,405,4,432,0,0,0,788,0,621,778,0,243,818,219,394,783,0,656,0,0,0,10,237,597,0,0,0,178,40,51,483,661,655,0,0,0,0,796,594,565,0,0,0,236,769,0,0,93,406,633,712,0,212,715,0,0,0,183,723,0,0,351,505,22,648,709,0,740,0,321,24,637,0,387,103,72,337,603,0,624,805,0,474,589,0,0,0,0,0,603,0,0,0,705,0,362,523,409,353,596,0,0,213,418,815,414,656,552,565,0,0,0,0,240,463,574,391,614,405,737,771,0,338,590,477,421,638,102,582,511,778,0,0,0,471,331,731,288,178,603,700,0,710,0,129,624,763,0,138,448,22,620,0,602,0,0,0,771,0,356,805,0,4,0,414,415,460,375,0,0,0,525,685,0,0,787,621,610,0,0,0,466,148,144,418,769,0,0,0,124,729,0,0,174,31,267,814,325,476,315,791,210,304,477,469,4,262,561,616,0,0,0,405,511,710,597,619,0,0,0,220,394,747,0,174,592,231,763,0,0,279,467,500,0,0,0,750,0,291,544,151,784,467,237,718,190,60,292,401,674,0,0,0,435,538,685,676,547,0,0,63,262,120,708,709,0,126,304,351,739,523,0,0,0,207,382,127,598,499,358,224,0,181,789,0,168,196,171,250,243,12,343,610,616,502,0,0,0,351,199,700,361,613,424,643,684,0,669,0,0,0,250,22,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1392,4],"start_interval_values":[1,1,2],"circle_positions":826,"cycle_length":464,"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":[0,464,928],"clock_positions":[1392,464,928],"native_values":[826,413,413],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[826,413,413],"beta":{"interval_sums":[190393,183372,189567],"interval_residues":[413,0,413],"display_cycle":[413,826,413],"intervals":[{"from_index":0,"to_index":464,"sum":190393,"residue":413},{"from_index":464,"to_index":928,"sum":183372,"residue":0},{"from_index":928,"to_index":0,"sum":189567,"residue":413}],"minimal_cycle":[413,0,413],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[1392,464],"circle_positions":826,"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":[1,465,929],"clock_positions":[1,465,929],"native_values":[1,414,1],"rotation_degrees":0.25862068965517243,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,414,1],"beta":{"interval_sums":[190805,183371,189566],"interval_residues":[825,825,412],"display_cycle":[825,825,412],"intervals":[{"from_index":1,"to_index":465,"sum":190805,"residue":825},{"from_index":465,"to_index":929,"sum":183371,"residue":825},{"from_index":929,"to_index":1,"sum":189566,"residue":412}],"minimal_cycle":[825,825,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":825,"start_interval_clock_positions":[1,465],"circle_positions":826,"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":[2,466,930],"clock_positions":[2,466,930],"native_values":[1,1,414],"rotation_degrees":0.5172413793103449,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,414],"beta":{"interval_sums":[191218,183371,189153],"interval_residues":[412,825,825],"display_cycle":[412,825,825],"intervals":[{"from_index":2,"to_index":466,"sum":191218,"residue":412},{"from_index":466,"to_index":930,"sum":183371,"residue":825},{"from_index":930,"to_index":2,"sum":189153,"residue":825}],"minimal_cycle":[412,825,825],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[2,466],"circle_positions":826,"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":[3,467,931],"clock_positions":[3,467,931],"native_values":[2,415,415],"rotation_degrees":0.7758620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,415,415],"beta":{"interval_sums":[191217,183370,188739],"interval_residues":[411,824,411],"display_cycle":[411,824,411],"intervals":[{"from_index":3,"to_index":467,"sum":191217,"residue":411},{"from_index":467,"to_index":931,"sum":183370,"residue":824},{"from_index":931,"to_index":3,"sum":188739,"residue":411}],"minimal_cycle":[411,824,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[3,467],"circle_positions":826,"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":[4,468,932],"clock_positions":[4,468,932],"native_values":[3,416,3],"rotation_degrees":1.0344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,416,3],"beta":{"interval_sums":[191629,183369,188738],"interval_residues":[823,823,410],"display_cycle":[823,823,410],"intervals":[{"from_index":4,"to_index":468,"sum":191629,"residue":823},{"from_index":468,"to_index":932,"sum":183369,"residue":823},{"from_index":932,"to_index":4,"sum":188738,"residue":410}],"minimal_cycle":[823,823,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":823,"start_interval_clock_positions":[4,468],"circle_positions":826,"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":[5,469,933],"clock_positions":[5,469,933],"native_values":[5,5,418],"rotation_degrees":1.293103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,5,418],"beta":{"interval_sums":[192040,183367,188323],"interval_residues":[408,821,821],"display_cycle":[408,821,821],"intervals":[{"from_index":5,"to_index":469,"sum":192040,"residue":408},{"from_index":469,"to_index":933,"sum":183367,"residue":821},{"from_index":933,"to_index":5,"sum":188323,"residue":821}],"minimal_cycle":[408,821,821],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[5,469],"circle_positions":826,"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":[6,470,934],"clock_positions":[6,470,934],"native_values":[8,421,421],"rotation_degrees":1.5517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,421,421],"beta":{"interval_sums":[192037,183364,187907],"interval_residues":[405,818,405],"display_cycle":[405,818,405],"intervals":[{"from_index":6,"to_index":470,"sum":192037,"residue":405},{"from_index":470,"to_index":934,"sum":183364,"residue":818},{"from_index":934,"to_index":6,"sum":187907,"residue":405}],"minimal_cycle":[405,818,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[6,470],"circle_positions":826,"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":[7,471,935],"clock_positions":[7,471,935],"native_values":[13,426,13],"rotation_degrees":1.8103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,426,13],"beta":{"interval_sums":[192445,183359,187902],"interval_residues":[813,813,400],"display_cycle":[813,813,400],"intervals":[{"from_index":7,"to_index":471,"sum":192445,"residue":813},{"from_index":471,"to_index":935,"sum":183359,"residue":813},{"from_index":935,"to_index":7,"sum":187902,"residue":400}],"minimal_cycle":[813,813,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":813,"start_interval_clock_positions":[7,471],"circle_positions":826,"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":[8,472,936],"clock_positions":[8,472,936],"native_values":[21,21,434],"rotation_degrees":2.0689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,21,434],"beta":{"interval_sums":[192850,183351,187481],"interval_residues":[392,805,805],"display_cycle":[392,805,805],"intervals":[{"from_index":8,"to_index":472,"sum":192850,"residue":392},{"from_index":472,"to_index":936,"sum":183351,"residue":805},{"from_index":936,"to_index":8,"sum":187481,"residue":805}],"minimal_cycle":[392,805,805],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[8,472],"circle_positions":826,"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":[9,473,937],"clock_positions":[9,473,937],"native_values":[34,447,447],"rotation_degrees":2.3275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,447,447],"beta":{"interval_sums":[192837,183338,187055],"interval_residues":[379,792,379],"display_cycle":[379,792,379],"intervals":[{"from_index":9,"to_index":473,"sum":192837,"residue":379},{"from_index":473,"to_index":937,"sum":183338,"residue":792},{"from_index":937,"to_index":9,"sum":187055,"residue":379}],"minimal_cycle":[379,792,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[9,473],"circle_positions":826,"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":[10,474,938],"clock_positions":[10,474,938],"native_values":[55,468,55],"rotation_degrees":2.586206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,468,55],"beta":{"interval_sums":[193229,183317,187034],"interval_residues":[771,771,358],"display_cycle":[771,771,358],"intervals":[{"from_index":10,"to_index":474,"sum":193229,"residue":771},{"from_index":474,"to_index":938,"sum":183317,"residue":771},{"from_index":938,"to_index":10,"sum":187034,"residue":358}],"minimal_cycle":[771,771,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":771,"start_interval_clock_positions":[10,474],"circle_positions":826,"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":[11,475,939],"clock_positions":[11,475,939],"native_values":[89,89,502],"rotation_degrees":2.8448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,89,502],"beta":{"interval_sums":[193608,183283,186587],"interval_residues":[324,737,737],"display_cycle":[324,737,737],"intervals":[{"from_index":11,"to_index":475,"sum":193608,"residue":324},{"from_index":475,"to_index":939,"sum":183283,"residue":737},{"from_index":939,"to_index":11,"sum":186587,"residue":737}],"minimal_cycle":[324,737,737],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[11,475],"circle_positions":826,"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":[12,476,940],"clock_positions":[12,476,940],"native_values":[144,557,557],"rotation_degrees":3.103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,557,557],"beta":{"interval_sums":[193553,183228,186119],"interval_residues":[269,682,269],"display_cycle":[269,682,269],"intervals":[{"from_index":12,"to_index":476,"sum":193553,"residue":269},{"from_index":476,"to_index":940,"sum":183228,"residue":682},{"from_index":940,"to_index":12,"sum":186119,"residue":269}],"minimal_cycle":[269,682,269],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":269,"start_interval_clock_positions":[12,476],"circle_positions":826,"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":[13,477,941],"clock_positions":[13,477,941],"native_values":[233,646,233],"rotation_degrees":3.3620689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,646,233],"beta":{"interval_sums":[193877,183139,186030],"interval_residues":[593,593,180],"display_cycle":[593,593,180],"intervals":[{"from_index":13,"to_index":477,"sum":193877,"residue":593},{"from_index":477,"to_index":941,"sum":183139,"residue":593},{"from_index":941,"to_index":13,"sum":186030,"residue":180}],"minimal_cycle":[593,593,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[13,477],"circle_positions":826,"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":[14,478,942],"clock_positions":[14,478,942],"native_values":[377,377,790],"rotation_degrees":3.6206896551724137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,377,790],"beta":{"interval_sums":[194146,182995,185473],"interval_residues":[36,449,449],"display_cycle":[36,449,449],"intervals":[{"from_index":14,"to_index":478,"sum":194146,"residue":36},{"from_index":478,"to_index":942,"sum":182995,"residue":449},{"from_index":942,"to_index":14,"sum":185473,"residue":449}],"minimal_cycle":[36,449,449],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[14,478],"circle_positions":826,"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":[15,479,943],"clock_positions":[15,479,943],"native_values":[610,197,197],"rotation_degrees":3.8793103448275863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,197,197],"beta":{"interval_sums":[193913,183588,185653],"interval_residues":[629,216,629],"display_cycle":[629,216,629],"intervals":[{"from_index":15,"to_index":479,"sum":193913,"residue":629},{"from_index":479,"to_index":943,"sum":183588,"residue":216},{"from_index":943,"to_index":15,"sum":185653,"residue":629}],"minimal_cycle":[629,216,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[15,479],"circle_positions":826,"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":[16,480,944],"clock_positions":[16,480,944],"native_values":[161,574,161],"rotation_degrees":4.137931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,574,161],"beta":{"interval_sums":[193949,183211,186102],"interval_residues":[665,665,252],"display_cycle":[665,665,252],"intervals":[{"from_index":16,"to_index":480,"sum":193949,"residue":665},{"from_index":480,"to_index":944,"sum":183211,"residue":665},{"from_index":944,"to_index":16,"sum":186102,"residue":252}],"minimal_cycle":[665,665,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[16,480],"circle_positions":826,"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":[17,481,945],"clock_positions":[17,481,945],"native_values":[771,771,358],"rotation_degrees":4.396551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,771,358],"beta":{"interval_sums":[193752,182601,185905],"interval_residues":[468,55,55],"display_cycle":[468,55,55],"intervals":[{"from_index":17,"to_index":481,"sum":193752,"residue":468},{"from_index":481,"to_index":945,"sum":182601,"residue":55},{"from_index":945,"to_index":17,"sum":185905,"residue":55}],"minimal_cycle":[468,55,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[17,481],"circle_positions":826,"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":[18,482,946],"clock_positions":[18,482,946],"native_values":[106,519,519],"rotation_degrees":4.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[106,519,519],"beta":{"interval_sums":[194417,182440,186157],"interval_residues":[307,720,307],"display_cycle":[307,720,307],"intervals":[{"from_index":18,"to_index":482,"sum":194417,"residue":307},{"from_index":482,"to_index":946,"sum":182440,"residue":720},{"from_index":946,"to_index":18,"sum":186157,"residue":307}],"minimal_cycle":[307,720,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[18,482],"circle_positions":826,"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":[19,483,947],"clock_positions":[19,483,947],"native_values":[51,464,51],"rotation_degrees":4.913793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,464,51],"beta":{"interval_sums":[194885,182495,186212],"interval_residues":[775,775,362],"display_cycle":[775,775,362],"intervals":[{"from_index":19,"to_index":483,"sum":194885,"residue":775},{"from_index":483,"to_index":947,"sum":182495,"residue":775},{"from_index":947,"to_index":19,"sum":186212,"residue":362}],"minimal_cycle":[775,775,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":775,"start_interval_clock_positions":[19,483],"circle_positions":826,"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":[20,484,948],"clock_positions":[20,484,948],"native_values":[157,157,570],"rotation_degrees":5.172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,157,570],"beta":{"interval_sums":[195192,182389,185693],"interval_residues":[256,669,669],"display_cycle":[256,669,669],"intervals":[{"from_index":20,"to_index":484,"sum":195192,"residue":256},{"from_index":484,"to_index":948,"sum":182389,"residue":669},{"from_index":948,"to_index":20,"sum":185693,"residue":669}],"minimal_cycle":[256,669,669],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[20,484],"circle_positions":826,"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":[21,485,949],"clock_positions":[21,485,949],"native_values":[208,621,621],"rotation_degrees":5.431034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,621,621],"beta":{"interval_sums":[195141,182338,185229],"interval_residues":[205,618,205],"display_cycle":[205,618,205],"intervals":[{"from_index":21,"to_index":485,"sum":195141,"residue":205},{"from_index":485,"to_index":949,"sum":182338,"residue":618},{"from_index":949,"to_index":21,"sum":185229,"residue":205}],"minimal_cycle":[205,618,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[21,485],"circle_positions":826,"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":[22,486,950],"clock_positions":[22,486,950],"native_values":[365,778,365],"rotation_degrees":5.689655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,778,365],"beta":{"interval_sums":[195397,182181,185072],"interval_residues":[461,461,48],"display_cycle":[461,461,48],"intervals":[{"from_index":22,"to_index":486,"sum":195397,"residue":461},{"from_index":486,"to_index":950,"sum":182181,"residue":461},{"from_index":950,"to_index":22,"sum":185072,"residue":48}],"minimal_cycle":[461,461,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":461,"start_interval_clock_positions":[22,486],"circle_positions":826,"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":[23,487,951],"clock_positions":[23,487,951],"native_values":[573,573,160],"rotation_degrees":5.948275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,573,160],"beta":{"interval_sums":[195602,181973,185277],"interval_residues":[666,253,253],"display_cycle":[666,253,253],"intervals":[{"from_index":23,"to_index":487,"sum":195602,"residue":666},{"from_index":487,"to_index":951,"sum":181973,"residue":253},{"from_index":951,"to_index":23,"sum":185277,"residue":253}],"minimal_cycle":[666,253,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[23,487],"circle_positions":826,"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":[24,488,952],"clock_positions":[24,488,952],"native_values":[112,525,525],"rotation_degrees":6.206896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,525,525],"beta":{"interval_sums":[196063,181608,185325],"interval_residues":[301,714,301],"display_cycle":[301,714,301],"intervals":[{"from_index":24,"to_index":488,"sum":196063,"residue":301},{"from_index":488,"to_index":952,"sum":181608,"residue":714},{"from_index":952,"to_index":24,"sum":185325,"residue":301}],"minimal_cycle":[301,714,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[24,488],"circle_positions":826,"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":[25,489,953],"clock_positions":[25,489,953],"native_values":[685,272,685],"rotation_degrees":6.4655172413793105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,272,685],"beta":{"interval_sums":[195903,181861,184752],"interval_residues":[141,141,554],"display_cycle":[141,141,554],"intervals":[{"from_index":25,"to_index":489,"sum":195903,"residue":141},{"from_index":489,"to_index":953,"sum":181861,"residue":141},{"from_index":953,"to_index":25,"sum":184752,"residue":554}],"minimal_cycle":[141,141,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[25,489],"circle_positions":826,"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":[26,490,954],"clock_positions":[26,490,954],"native_values":[797,797,384],"rotation_degrees":6.724137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,797,384],"beta":{"interval_sums":[195378,181749,185053],"interval_residues":[442,29,29],"display_cycle":[442,29,29],"intervals":[{"from_index":26,"to_index":490,"sum":195378,"residue":442},{"from_index":490,"to_index":954,"sum":181749,"residue":29},{"from_index":954,"to_index":26,"sum":185053,"residue":29}],"minimal_cycle":[442,29,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[26,490],"circle_positions":826,"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":[27,491,955],"clock_positions":[27,491,955],"native_values":[656,243,243],"rotation_degrees":6.982758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[656,243,243],"beta":{"interval_sums":[195519,181890,185607],"interval_residues":[583,170,583],"display_cycle":[583,170,583],"intervals":[{"from_index":27,"to_index":491,"sum":195519,"residue":583},{"from_index":491,"to_index":955,"sum":181890,"residue":170},{"from_index":955,"to_index":27,"sum":185607,"residue":583}],"minimal_cycle":[583,170,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[27,491],"circle_positions":826,"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":[28,492,956],"clock_positions":[28,492,956],"native_values":[627,214,627],"rotation_degrees":7.241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,214,627],"beta":{"interval_sums":[195135,181919,185636],"interval_residues":[199,199,612],"display_cycle":[199,199,612],"intervals":[{"from_index":28,"to_index":492,"sum":195135,"residue":199},{"from_index":492,"to_index":956,"sum":181919,"residue":199},{"from_index":956,"to_index":28,"sum":185636,"residue":612}],"minimal_cycle":[199,199,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[28,492],"circle_positions":826,"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":[29,493,957],"clock_positions":[29,493,957],"native_values":[457,457,44],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,457,44],"beta":{"interval_sums":[194892,182089,186219],"interval_residues":[782,369,369],"display_cycle":[782,369,369],"intervals":[{"from_index":29,"to_index":493,"sum":194892,"residue":782},{"from_index":493,"to_index":957,"sum":182089,"residue":369},{"from_index":957,"to_index":29,"sum":186219,"residue":369}],"minimal_cycle":[782,369,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":782,"start_interval_clock_positions":[29,493],"circle_positions":826,"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":[30,494,958],"clock_positions":[30,494,958],"native_values":[258,671,671],"rotation_degrees":7.758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,671,671],"beta":{"interval_sums":[195091,181462,186005],"interval_residues":[155,568,155],"display_cycle":[155,568,155],"intervals":[{"from_index":30,"to_index":494,"sum":195091,"residue":155},{"from_index":494,"to_index":958,"sum":181462,"residue":568},{"from_index":958,"to_index":30,"sum":186005,"residue":155}],"minimal_cycle":[155,568,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":155,"start_interval_clock_positions":[30,494],"circle_positions":826,"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":[31,495,959],"clock_positions":[31,495,959],"native_values":[715,302,715],"rotation_degrees":8.017241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,302,715],"beta":{"interval_sums":[195047,181831,185548],"interval_residues":[111,111,524],"display_cycle":[111,111,524],"intervals":[{"from_index":31,"to_index":495,"sum":195047,"residue":111},{"from_index":495,"to_index":959,"sum":181831,"residue":111},{"from_index":959,"to_index":31,"sum":185548,"residue":524}],"minimal_cycle":[111,111,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[31,495],"circle_positions":826,"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":[32,496,960],"clock_positions":[32,496,960],"native_values":[147,147,560],"rotation_degrees":8.275862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,147,560],"beta":{"interval_sums":[195202,182399,185703],"interval_residues":[266,679,679],"display_cycle":[266,679,679],"intervals":[{"from_index":32,"to_index":496,"sum":195202,"residue":266},{"from_index":496,"to_index":960,"sum":182399,"residue":679},{"from_index":960,"to_index":32,"sum":185703,"residue":679}],"minimal_cycle":[266,679,679],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[32,496],"circle_positions":826,"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":[33,497,961],"clock_positions":[33,497,961],"native_values":[36,449,449],"rotation_degrees":8.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,449,449],"beta":{"interval_sums":[195313,182510,185401],"interval_residues":[377,790,377],"display_cycle":[377,790,377],"intervals":[{"from_index":33,"to_index":497,"sum":195313,"residue":377},{"from_index":497,"to_index":961,"sum":182510,"residue":790},{"from_index":961,"to_index":33,"sum":185401,"residue":377}],"minimal_cycle":[377,790,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[33,497],"circle_positions":826,"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":[34,498,962],"clock_positions":[34,498,962],"native_values":[183,596,183],"rotation_degrees":8.793103448275861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,596,183],"beta":{"interval_sums":[195579,182363,185254],"interval_residues":[643,643,230],"display_cycle":[643,643,230],"intervals":[{"from_index":34,"to_index":498,"sum":195579,"residue":643},{"from_index":498,"to_index":962,"sum":182363,"residue":643},{"from_index":962,"to_index":34,"sum":185254,"residue":230}],"minimal_cycle":[643,643,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[34,498],"circle_positions":826,"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":[35,499,963],"clock_positions":[35,499,963],"native_values":[219,219,632],"rotation_degrees":9.051724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,219,632],"beta":{"interval_sums":[195956,182327,184805],"interval_residues":[194,607,607],"display_cycle":[194,607,607],"intervals":[{"from_index":35,"to_index":499,"sum":195956,"residue":194},{"from_index":499,"to_index":963,"sum":182327,"residue":607},{"from_index":963,"to_index":35,"sum":184805,"residue":607}],"minimal_cycle":[194,607,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[35,499],"circle_positions":826,"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":[36,500,964],"clock_positions":[36,500,964],"native_values":[402,815,815],"rotation_degrees":9.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,815,815],"beta":{"interval_sums":[195773,182144,184209],"interval_residues":[11,424,11],"display_cycle":[11,424,11],"intervals":[{"from_index":36,"to_index":500,"sum":195773,"residue":11},{"from_index":500,"to_index":964,"sum":182144,"residue":424},{"from_index":964,"to_index":36,"sum":184209,"residue":11}],"minimal_cycle":[11,424,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[36,500],"circle_positions":826,"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":[37,501,965],"clock_positions":[37,501,965],"native_values":[621,208,621],"rotation_degrees":9.568965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,208,621],"beta":{"interval_sums":[195967,182751,183990],"interval_residues":[205,205,618],"display_cycle":[205,205,618],"intervals":[{"from_index":37,"to_index":501,"sum":195967,"residue":205},{"from_index":501,"to_index":965,"sum":182751,"residue":205},{"from_index":965,"to_index":37,"sum":183990,"residue":618}],"minimal_cycle":[205,205,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[37,501],"circle_positions":826,"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":[38,502,966],"clock_positions":[38,502,966],"native_values":[197,197,610],"rotation_degrees":9.827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,197,610],"beta":{"interval_sums":[195978,183175,184001],"interval_residues":[216,629,629],"display_cycle":[216,629,629],"intervals":[{"from_index":38,"to_index":502,"sum":195978,"residue":216},{"from_index":502,"to_index":966,"sum":183175,"residue":629},{"from_index":966,"to_index":38,"sum":184001,"residue":629}],"minimal_cycle":[216,629,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[38,502],"circle_positions":826,"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":[39,503,967],"clock_positions":[39,503,967],"native_values":[818,405,405],"rotation_degrees":10.086206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[818,405,405],"beta":{"interval_sums":[195357,183380,183793],"interval_residues":[421,8,421],"display_cycle":[421,8,421],"intervals":[{"from_index":39,"to_index":503,"sum":195357,"residue":421},{"from_index":503,"to_index":967,"sum":183380,"residue":8},{"from_index":967,"to_index":39,"sum":183793,"residue":421}],"minimal_cycle":[421,8,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[39,503],"circle_positions":826,"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":[40,504,968],"clock_positions":[40,504,968],"native_values":[189,602,189],"rotation_degrees":10.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,602,189],"beta":{"interval_sums":[195573,183183,184422],"interval_residues":[637,637,224],"display_cycle":[637,637,224],"intervals":[{"from_index":40,"to_index":504,"sum":195573,"residue":637},{"from_index":504,"to_index":968,"sum":183183,"residue":637},{"from_index":968,"to_index":40,"sum":184422,"residue":224}],"minimal_cycle":[637,637,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":637,"start_interval_clock_positions":[40,504],"circle_positions":826,"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":[41,505,969],"clock_positions":[41,505,969],"native_values":[181,181,594],"rotation_degrees":10.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,181,594],"beta":{"interval_sums":[195994,183191,184017],"interval_residues":[232,645,645],"display_cycle":[232,645,645],"intervals":[{"from_index":41,"to_index":505,"sum":195994,"residue":232},{"from_index":505,"to_index":969,"sum":183191,"residue":645},{"from_index":969,"to_index":41,"sum":184017,"residue":645}],"minimal_cycle":[232,645,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[41,505],"circle_positions":826,"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":[42,506,970],"clock_positions":[42,506,970],"native_values":[370,783,783],"rotation_degrees":10.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,783,783],"beta":{"interval_sums":[195805,183002,183415],"interval_residues":[43,456,43],"display_cycle":[43,456,43],"intervals":[{"from_index":42,"to_index":506,"sum":195805,"residue":43},{"from_index":506,"to_index":970,"sum":183002,"residue":456},{"from_index":970,"to_index":42,"sum":183415,"residue":43}],"minimal_cycle":[43,456,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[42,506],"circle_positions":826,"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":[43,507,971],"clock_positions":[43,507,971],"native_values":[551,138,551],"rotation_degrees":11.120689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,138,551],"beta":{"interval_sums":[196037,183647,183234],"interval_residues":[275,275,688],"display_cycle":[275,275,688],"intervals":[{"from_index":43,"to_index":507,"sum":196037,"residue":275},{"from_index":507,"to_index":971,"sum":183647,"residue":275},{"from_index":971,"to_index":43,"sum":183234,"residue":688}],"minimal_cycle":[275,275,688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[43,507],"circle_positions":826,"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":[44,508,972],"clock_positions":[44,508,972],"native_values":[95,95,508],"rotation_degrees":11.379310344827585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,508],"beta":{"interval_sums":[196080,184103,183277],"interval_residues":[318,731,731],"display_cycle":[318,731,731],"intervals":[{"from_index":44,"to_index":508,"sum":196080,"residue":318},{"from_index":508,"to_index":972,"sum":184103,"residue":731},{"from_index":972,"to_index":44,"sum":183277,"residue":731}],"minimal_cycle":[318,731,731],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[44,508],"circle_positions":826,"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":[45,509,973],"clock_positions":[45,509,973],"native_values":[646,233,233],"rotation_degrees":11.637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,233,233],"beta":{"interval_sums":[195529,184378,183139],"interval_residues":[593,180,593],"display_cycle":[593,180,593],"intervals":[{"from_index":45,"to_index":509,"sum":195529,"residue":593},{"from_index":509,"to_index":973,"sum":184378,"residue":180},{"from_index":973,"to_index":45,"sum":183139,"residue":593}],"minimal_cycle":[593,180,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[45,509],"circle_positions":826,"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":[46,510,974],"clock_positions":[46,510,974],"native_values":[741,328,741],"rotation_degrees":11.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,328,741],"beta":{"interval_sums":[195021,184283,183044],"interval_residues":[85,85,498],"display_cycle":[85,85,498],"intervals":[{"from_index":46,"to_index":510,"sum":195021,"residue":85},{"from_index":510,"to_index":974,"sum":184283,"residue":85},{"from_index":974,"to_index":46,"sum":183044,"residue":498}],"minimal_cycle":[85,85,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[46,510],"circle_positions":826,"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":[47,511,975],"clock_positions":[47,511,975],"native_values":[561,561,148],"rotation_degrees":12.155172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,561,148],"beta":{"interval_sums":[194788,184463,183637],"interval_residues":[678,265,265],"display_cycle":[678,265,265],"intervals":[{"from_index":47,"to_index":511,"sum":194788,"residue":678},{"from_index":511,"to_index":975,"sum":184463,"residue":265},{"from_index":975,"to_index":47,"sum":183637,"residue":265}],"minimal_cycle":[678,265,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[47,511],"circle_positions":826,"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":[48,512,976],"clock_positions":[48,512,976],"native_values":[476,63,63],"rotation_degrees":12.413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,63,63],"beta":{"interval_sums":[194873,184548,184135],"interval_residues":[763,350,763],"display_cycle":[763,350,763],"intervals":[{"from_index":48,"to_index":512,"sum":194873,"residue":763},{"from_index":512,"to_index":976,"sum":184548,"residue":350},{"from_index":976,"to_index":48,"sum":184135,"residue":763}],"minimal_cycle":[763,350,763],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":763,"start_interval_clock_positions":[48,512],"circle_positions":826,"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":[49,513,977],"clock_positions":[49,513,977],"native_values":[211,624,211],"rotation_degrees":12.672413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,624,211],"beta":{"interval_sums":[194725,183987,184400],"interval_residues":[615,615,202],"display_cycle":[615,615,202],"intervals":[{"from_index":49,"to_index":513,"sum":194725,"residue":615},{"from_index":513,"to_index":977,"sum":183987,"residue":615},{"from_index":977,"to_index":49,"sum":184400,"residue":202}],"minimal_cycle":[615,615,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[49,513],"circle_positions":826,"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":[50,514,978],"clock_positions":[50,514,978],"native_values":[687,687,274],"rotation_degrees":12.931034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[687,687,274],"beta":{"interval_sums":[194662,183511,184337],"interval_residues":[552,139,139],"display_cycle":[552,139,139],"intervals":[{"from_index":50,"to_index":514,"sum":194662,"residue":552},{"from_index":514,"to_index":978,"sum":183511,"residue":139},{"from_index":978,"to_index":50,"sum":184337,"residue":139}],"minimal_cycle":[552,139,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[50,514],"circle_positions":826,"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":[51,515,979],"clock_positions":[51,515,979],"native_values":[72,485,485],"rotation_degrees":13.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,485,485],"beta":{"interval_sums":[195277,183300,184539],"interval_residues":[341,754,341],"display_cycle":[341,754,341],"intervals":[{"from_index":51,"to_index":515,"sum":195277,"residue":341},{"from_index":515,"to_index":979,"sum":183300,"residue":754},{"from_index":979,"to_index":51,"sum":184539,"residue":341}],"minimal_cycle":[341,754,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[51,515],"circle_positions":826,"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":[52,516,980],"clock_positions":[52,516,980],"native_values":[759,346,759],"rotation_degrees":13.448275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,346,759],"beta":{"interval_sums":[195003,183439,183852],"interval_residues":[67,67,480],"display_cycle":[67,67,480],"intervals":[{"from_index":52,"to_index":516,"sum":195003,"residue":67},{"from_index":516,"to_index":980,"sum":183439,"residue":67},{"from_index":980,"to_index":52,"sum":183852,"residue":480}],"minimal_cycle":[67,67,480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[52,516],"circle_positions":826,"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":[53,517,981],"clock_positions":[53,517,981],"native_values":[5,5,418],"rotation_degrees":13.706896551724139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,5,418],"beta":{"interval_sums":[195344,184193,184193],"interval_residues":[408,821,821],"display_cycle":[408,821,821],"intervals":[{"from_index":53,"to_index":517,"sum":195344,"residue":408},{"from_index":517,"to_index":981,"sum":184193,"residue":821},{"from_index":981,"to_index":53,"sum":184193,"residue":821}],"minimal_cycle":[408,821,821],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[53,517],"circle_positions":826,"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":[54,518,982],"clock_positions":[54,518,982],"native_values":[764,351,351],"rotation_degrees":13.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,351,351],"beta":{"interval_sums":[194585,184260,183847],"interval_residues":[475,62,475],"display_cycle":[475,62,475],"intervals":[{"from_index":54,"to_index":518,"sum":194585,"residue":475},{"from_index":518,"to_index":982,"sum":184260,"residue":62},{"from_index":982,"to_index":54,"sum":183847,"residue":475}],"minimal_cycle":[475,62,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[54,518],"circle_positions":826,"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":[55,519,983],"clock_positions":[55,519,983],"native_values":[769,356,769],"rotation_degrees":14.224137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,356,769],"beta":{"interval_sums":[194167,184255,183842],"interval_residues":[57,57,470],"display_cycle":[57,57,470],"intervals":[{"from_index":55,"to_index":519,"sum":194167,"residue":57},{"from_index":519,"to_index":983,"sum":184255,"residue":57},{"from_index":983,"to_index":55,"sum":183842,"residue":470}],"minimal_cycle":[57,57,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[55,519],"circle_positions":826,"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":[56,520,984],"clock_positions":[56,520,984],"native_values":[707,707,294],"rotation_degrees":14.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,707,294],"beta":{"interval_sums":[193816,184317,184317],"interval_residues":[532,119,119],"display_cycle":[532,119,119],"intervals":[{"from_index":56,"to_index":520,"sum":193816,"residue":532},{"from_index":520,"to_index":984,"sum":184317,"residue":119},{"from_index":984,"to_index":56,"sum":184317,"residue":119}],"minimal_cycle":[532,119,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[56,520],"circle_positions":826,"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":[57,521,985],"clock_positions":[57,521,985],"native_values":[650,237,237],"rotation_degrees":14.741379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,237,237],"beta":{"interval_sums":[193873,184374,184787],"interval_residues":[589,176,589],"display_cycle":[589,176,589],"intervals":[{"from_index":57,"to_index":521,"sum":193873,"residue":589},{"from_index":521,"to_index":985,"sum":184374,"residue":176},{"from_index":985,"to_index":57,"sum":184787,"residue":589}],"minimal_cycle":[589,176,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[57,521],"circle_positions":826,"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":[58,522,986],"clock_positions":[58,522,986],"native_values":[531,118,531],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,118,531],"beta":{"interval_sums":[193579,184493,184906],"interval_residues":[295,295,708],"display_cycle":[295,295,708],"intervals":[{"from_index":58,"to_index":522,"sum":193579,"residue":295},{"from_index":522,"to_index":986,"sum":184493,"residue":295},{"from_index":986,"to_index":58,"sum":184906,"residue":708}],"minimal_cycle":[295,295,708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[58,522],"circle_positions":826,"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":[59,523,987],"clock_positions":[59,523,987],"native_values":[355,355,768],"rotation_degrees":15.258620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,355,768],"beta":{"interval_sums":[193342,184669,184669],"interval_residues":[58,471,471],"display_cycle":[58,471,471],"intervals":[{"from_index":59,"to_index":523,"sum":193342,"residue":58},{"from_index":523,"to_index":987,"sum":184669,"residue":471},{"from_index":987,"to_index":59,"sum":184669,"residue":471}],"minimal_cycle":[58,471,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[59,523],"circle_positions":826,"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":[60,524,988],"clock_positions":[60,524,988],"native_values":[60,473,473],"rotation_degrees":15.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,473,473],"beta":{"interval_sums":[193637,184964,184551],"interval_residues":[353,766,353],"display_cycle":[353,766,353],"intervals":[{"from_index":60,"to_index":524,"sum":193637,"residue":353},{"from_index":524,"to_index":988,"sum":184964,"residue":766},{"from_index":988,"to_index":60,"sum":184551,"residue":353}],"minimal_cycle":[353,766,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[60,524],"circle_positions":826,"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":[61,525,989],"clock_positions":[61,525,989],"native_values":[415,2,415],"rotation_degrees":15.775862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,2,415],"beta":{"interval_sums":[193695,185435,184196],"interval_residues":[411,411,824],"display_cycle":[411,411,824],"intervals":[{"from_index":61,"to_index":525,"sum":193695,"residue":411},{"from_index":525,"to_index":989,"sum":185435,"residue":411},{"from_index":989,"to_index":61,"sum":184196,"residue":824}],"minimal_cycle":[411,411,824],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[61,525],"circle_positions":826,"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":[62,526,990],"clock_positions":[62,526,990],"native_values":[475,475,62],"rotation_degrees":16.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,475,62],"beta":{"interval_sums":[193222,185375,184549],"interval_residues":[764,351,351],"display_cycle":[764,351,351],"intervals":[{"from_index":62,"to_index":526,"sum":193222,"residue":764},{"from_index":526,"to_index":990,"sum":185375,"residue":351},{"from_index":990,"to_index":62,"sum":184549,"residue":351}],"minimal_cycle":[764,351,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[62,526],"circle_positions":826,"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":[63,527,991],"clock_positions":[63,527,991],"native_values":[64,477,477],"rotation_degrees":16.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,477,477],"beta":{"interval_sums":[193633,184960,184547],"interval_residues":[349,762,349],"display_cycle":[349,762,349],"intervals":[{"from_index":63,"to_index":527,"sum":193633,"residue":349},{"from_index":527,"to_index":991,"sum":184960,"residue":762},{"from_index":991,"to_index":63,"sum":184547,"residue":349}],"minimal_cycle":[349,762,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[63,527],"circle_positions":826,"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":[64,528,992],"clock_positions":[64,528,992],"native_values":[539,126,539],"rotation_degrees":16.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,126,539],"beta":{"interval_sums":[193571,185311,184072],"interval_residues":[287,287,700],"display_cycle":[287,287,700],"intervals":[{"from_index":64,"to_index":528,"sum":193571,"residue":287},{"from_index":528,"to_index":992,"sum":185311,"residue":287},{"from_index":992,"to_index":64,"sum":184072,"residue":700}],"minimal_cycle":[287,287,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[64,528],"circle_positions":826,"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":[65,529,993],"clock_positions":[65,529,993],"native_values":[603,603,190],"rotation_degrees":16.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,603,190],"beta":{"interval_sums":[193094,185247,184421],"interval_residues":[636,223,223],"display_cycle":[636,223,223],"intervals":[{"from_index":65,"to_index":529,"sum":193094,"residue":636},{"from_index":529,"to_index":993,"sum":185247,"residue":223},{"from_index":993,"to_index":65,"sum":184421,"residue":223}],"minimal_cycle":[636,223,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[65,529],"circle_positions":826,"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":[66,530,994],"clock_positions":[66,530,994],"native_values":[316,729,729],"rotation_degrees":17.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,729,729],"beta":{"interval_sums":[193381,184708,184295],"interval_residues":[97,510,97],"display_cycle":[97,510,97],"intervals":[{"from_index":66,"to_index":530,"sum":193381,"residue":97},{"from_index":530,"to_index":994,"sum":184708,"residue":510},{"from_index":994,"to_index":66,"sum":184295,"residue":97}],"minimal_cycle":[97,510,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":97,"start_interval_clock_positions":[66,530],"circle_positions":826,"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":[67,531,995],"clock_positions":[67,531,995],"native_values":[93,506,93],"rotation_degrees":17.32758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,506,93],"beta":{"interval_sums":[194017,184931,184518],"interval_residues":[733,733,320],"display_cycle":[733,733,320],"intervals":[{"from_index":67,"to_index":531,"sum":194017,"residue":733},{"from_index":531,"to_index":995,"sum":184931,"residue":733},{"from_index":995,"to_index":67,"sum":184518,"residue":320}],"minimal_cycle":[733,733,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[67,531],"circle_positions":826,"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":[68,532,996],"clock_positions":[68,532,996],"native_values":[409,409,822],"rotation_degrees":17.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,409,822],"beta":{"interval_sums":[194114,184615,183789],"interval_residues":[4,417,417],"display_cycle":[4,417,417],"intervals":[{"from_index":68,"to_index":532,"sum":194114,"residue":4},{"from_index":532,"to_index":996,"sum":184615,"residue":417},{"from_index":996,"to_index":68,"sum":183789,"residue":417}],"minimal_cycle":[4,417,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[68,532],"circle_positions":826,"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":[69,533,997],"clock_positions":[69,533,997],"native_values":[502,89,89],"rotation_degrees":17.844827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,89,89],"beta":{"interval_sums":[194021,185348,184109],"interval_residues":[737,324,737],"display_cycle":[737,324,737],"intervals":[{"from_index":69,"to_index":533,"sum":194021,"residue":737},{"from_index":533,"to_index":997,"sum":185348,"residue":324},{"from_index":997,"to_index":69,"sum":184109,"residue":737}],"minimal_cycle":[737,324,737],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":737,"start_interval_clock_positions":[69,533],"circle_positions":826,"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":[70,534,998],"clock_positions":[70,534,998],"native_values":[85,498,85],"rotation_degrees":18.103448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,498,85],"beta":{"interval_sums":[194025,184939,184526],"interval_residues":[741,741,328],"display_cycle":[741,741,328],"intervals":[{"from_index":70,"to_index":534,"sum":194025,"residue":741},{"from_index":534,"to_index":998,"sum":184939,"residue":741},{"from_index":998,"to_index":70,"sum":184526,"residue":328}],"minimal_cycle":[741,741,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[70,534],"circle_positions":826,"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":[71,535,999],"clock_positions":[71,535,999],"native_values":[587,587,174],"rotation_degrees":18.362068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,587,174],"beta":{"interval_sums":[193936,184437,184437],"interval_residues":[652,239,239],"display_cycle":[652,239,239],"intervals":[{"from_index":71,"to_index":535,"sum":193936,"residue":652},{"from_index":535,"to_index":999,"sum":184437,"residue":239},{"from_index":999,"to_index":71,"sum":184437,"residue":239}],"minimal_cycle":[652,239,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[71,535],"circle_positions":826,"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":[72,536,1000],"clock_positions":[72,536,1000],"native_values":[672,259,259],"rotation_degrees":18.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,259,259],"beta":{"interval_sums":[193851,184352,184765],"interval_residues":[567,154,567],"display_cycle":[567,154,567],"intervals":[{"from_index":72,"to_index":536,"sum":193851,"residue":567},{"from_index":536,"to_index":1000,"sum":184352,"residue":154},{"from_index":1000,"to_index":72,"sum":184765,"residue":567}],"minimal_cycle":[567,154,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[72,536],"circle_positions":826,"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":[73,537,1001],"clock_positions":[73,537,1001],"native_values":[433,20,433],"rotation_degrees":18.879310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,20,433],"beta":{"interval_sums":[193677,184591,185004],"interval_residues":[393,393,806],"display_cycle":[393,393,806],"intervals":[{"from_index":73,"to_index":537,"sum":193677,"residue":393},{"from_index":537,"to_index":1001,"sum":184591,"residue":393},{"from_index":1001,"to_index":73,"sum":185004,"residue":806}],"minimal_cycle":[393,393,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[73,537],"circle_positions":826,"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":[74,538,1002],"clock_positions":[74,538,1002],"native_values":[279,279,692],"rotation_degrees":19.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,692],"beta":{"interval_sums":[193418,184745,184745],"interval_residues":[134,547,547],"display_cycle":[134,547,547],"intervals":[{"from_index":74,"to_index":538,"sum":193418,"residue":134},{"from_index":538,"to_index":1002,"sum":184745,"residue":547},{"from_index":1002,"to_index":74,"sum":184745,"residue":547}],"minimal_cycle":[134,547,547],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[74,538],"circle_positions":826,"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":[75,539,1003],"clock_positions":[75,539,1003],"native_values":[712,299,299],"rotation_degrees":19.396551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[712,299,299],"beta":{"interval_sums":[192985,185138,184725],"interval_residues":[527,114,527],"display_cycle":[527,114,527],"intervals":[{"from_index":75,"to_index":539,"sum":192985,"residue":527},{"from_index":539,"to_index":1003,"sum":185138,"residue":114},{"from_index":1003,"to_index":75,"sum":184725,"residue":527}],"minimal_cycle":[527,114,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":527,"start_interval_clock_positions":[75,539],"circle_positions":826,"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":[76,540,1004],"clock_positions":[76,540,1004],"native_values":[165,578,165],"rotation_degrees":19.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,578,165],"beta":{"interval_sums":[193119,184859,185272],"interval_residues":[661,661,248],"display_cycle":[661,661,248],"intervals":[{"from_index":76,"to_index":540,"sum":193119,"residue":661},{"from_index":540,"to_index":1004,"sum":184859,"residue":661},{"from_index":1004,"to_index":76,"sum":185272,"residue":248}],"minimal_cycle":[661,661,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[76,540],"circle_positions":826,"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":[77,541,1005],"clock_positions":[77,541,1005],"native_values":[51,51,464],"rotation_degrees":19.913793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,51,464],"beta":{"interval_sums":[193646,184973,184973],"interval_residues":[362,775,775],"display_cycle":[362,775,775],"intervals":[{"from_index":77,"to_index":541,"sum":193646,"residue":362},{"from_index":541,"to_index":1005,"sum":184973,"residue":775},{"from_index":1005,"to_index":77,"sum":184973,"residue":775}],"minimal_cycle":[362,775,775],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[77,541],"circle_positions":826,"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":[78,542,1006],"clock_positions":[78,542,1006],"native_values":[216,629,629],"rotation_degrees":20.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,629,629],"beta":{"interval_sums":[193481,184808,184395],"interval_residues":[197,610,197],"display_cycle":[197,610,197],"intervals":[{"from_index":78,"to_index":542,"sum":193481,"residue":197},{"from_index":542,"to_index":1006,"sum":184808,"residue":610},{"from_index":1006,"to_index":78,"sum":184395,"residue":197}],"minimal_cycle":[197,610,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[78,542],"circle_positions":826,"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":[79,543,1007],"clock_positions":[79,543,1007],"native_values":[267,680,267],"rotation_degrees":20.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,680,267],"beta":{"interval_sums":[193843,184757,184344],"interval_residues":[559,559,146],"display_cycle":[559,559,146],"intervals":[{"from_index":79,"to_index":543,"sum":193843,"residue":559},{"from_index":543,"to_index":1007,"sum":184757,"residue":559},{"from_index":1007,"to_index":79,"sum":184344,"residue":146}],"minimal_cycle":[559,559,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":559,"start_interval_clock_positions":[79,543],"circle_positions":826,"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":[80,544,1008],"clock_positions":[80,544,1008],"native_values":[483,483,70],"rotation_degrees":20.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,483,70],"beta":{"interval_sums":[194040,184541,184541],"interval_residues":[756,343,343],"display_cycle":[756,343,343],"intervals":[{"from_index":80,"to_index":544,"sum":194040,"residue":756},{"from_index":544,"to_index":1008,"sum":184541,"residue":343},{"from_index":1008,"to_index":80,"sum":184541,"residue":343}],"minimal_cycle":[756,343,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":756,"start_interval_clock_positions":[80,544],"circle_positions":826,"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":[81,545,1009],"clock_positions":[81,545,1009],"native_values":[750,337,337],"rotation_degrees":20.948275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,337,337],"beta":{"interval_sums":[193773,184274,184687],"interval_residues":[489,76,489],"display_cycle":[489,76,489],"intervals":[{"from_index":81,"to_index":545,"sum":193773,"residue":489},{"from_index":545,"to_index":1009,"sum":184274,"residue":76},{"from_index":1009,"to_index":81,"sum":184687,"residue":489}],"minimal_cycle":[489,76,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[81,545],"circle_positions":826,"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":[82,546,1010],"clock_positions":[82,546,1010],"native_values":[407,820,407],"rotation_degrees":21.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,820,407],"beta":{"interval_sums":[193703,183791,185030],"interval_residues":[419,419,6],"display_cycle":[419,419,6],"intervals":[{"from_index":82,"to_index":546,"sum":193703,"residue":419},{"from_index":546,"to_index":1010,"sum":183791,"residue":419},{"from_index":1010,"to_index":82,"sum":185030,"residue":6}],"minimal_cycle":[419,419,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[82,546],"circle_positions":826,"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":[83,547,1011],"clock_positions":[83,547,1011],"native_values":[331,331,744],"rotation_degrees":21.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,331,744],"beta":{"interval_sums":[194192,183867,184693],"interval_residues":[82,495,495],"display_cycle":[82,495,495],"intervals":[{"from_index":83,"to_index":547,"sum":194192,"residue":82},{"from_index":547,"to_index":1011,"sum":183867,"residue":495},{"from_index":1011,"to_index":83,"sum":184693,"residue":495}],"minimal_cycle":[82,495,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[83,547],"circle_positions":826,"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":[84,548,1012],"clock_positions":[84,548,1012],"native_values":[738,325,325],"rotation_degrees":21.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,325,325],"beta":{"interval_sums":[193785,184286,184699],"interval_residues":[501,88,501],"display_cycle":[501,88,501],"intervals":[{"from_index":84,"to_index":548,"sum":193785,"residue":501},{"from_index":548,"to_index":1012,"sum":184286,"residue":88},{"from_index":1012,"to_index":84,"sum":184699,"residue":501}],"minimal_cycle":[501,88,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[84,548],"circle_positions":826,"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":[85,549,1013],"clock_positions":[85,549,1013],"native_values":[243,656,243],"rotation_degrees":21.982758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,656,243],"beta":{"interval_sums":[193867,183955,185194],"interval_residues":[583,583,170],"display_cycle":[583,583,170],"intervals":[{"from_index":85,"to_index":549,"sum":193867,"residue":583},{"from_index":549,"to_index":1013,"sum":183955,"residue":583},{"from_index":1013,"to_index":85,"sum":185194,"residue":170}],"minimal_cycle":[583,583,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[85,549],"circle_positions":826,"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":[86,550,1014],"clock_positions":[86,550,1014],"native_values":[155,155,568],"rotation_degrees":22.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,155,568],"beta":{"interval_sums":[194368,184043,184869],"interval_residues":[258,671,671],"display_cycle":[258,671,671],"intervals":[{"from_index":86,"to_index":550,"sum":194368,"residue":258},{"from_index":550,"to_index":1014,"sum":184043,"residue":671},{"from_index":1014,"to_index":86,"sum":184869,"residue":671}],"minimal_cycle":[258,671,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[86,550],"circle_positions":826,"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":[87,551,1015],"clock_positions":[87,551,1015],"native_values":[398,811,811],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[398,811,811],"beta":{"interval_sums":[194125,183800,184213],"interval_residues":[15,428,15],"display_cycle":[15,428,15],"intervals":[{"from_index":87,"to_index":551,"sum":194125,"residue":15},{"from_index":551,"to_index":1015,"sum":183800,"residue":428},{"from_index":1015,"to_index":87,"sum":184213,"residue":15}],"minimal_cycle":[15,428,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[87,551],"circle_positions":826,"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":[88,552,1016],"clock_positions":[88,552,1016],"native_values":[553,140,553],"rotation_degrees":22.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,140,553],"beta":{"interval_sums":[194383,184471,184058],"interval_residues":[273,273,686],"display_cycle":[273,273,686],"intervals":[{"from_index":88,"to_index":552,"sum":194383,"residue":273},{"from_index":552,"to_index":1016,"sum":184471,"residue":273},{"from_index":1016,"to_index":88,"sum":184058,"residue":686}],"minimal_cycle":[273,273,686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[88,552],"circle_positions":826,"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":[89,553,1017],"clock_positions":[89,553,1017],"native_values":[125,125,538],"rotation_degrees":23.017241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,125,538],"beta":{"interval_sums":[194398,184899,184073],"interval_residues":[288,701,701],"display_cycle":[288,701,701],"intervals":[{"from_index":89,"to_index":553,"sum":194398,"residue":288},{"from_index":553,"to_index":1017,"sum":184899,"residue":701},{"from_index":1017,"to_index":89,"sum":184073,"residue":701}],"minimal_cycle":[288,701,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[89,553],"circle_positions":826,"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":[90,554,1018],"clock_positions":[90,554,1018],"native_values":[678,265,265],"rotation_degrees":23.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,265,265],"beta":{"interval_sums":[193845,185172,183933],"interval_residues":[561,148,561],"display_cycle":[561,148,561],"intervals":[{"from_index":90,"to_index":554,"sum":193845,"residue":561},{"from_index":554,"to_index":1018,"sum":185172,"residue":148},{"from_index":1018,"to_index":90,"sum":183933,"residue":561}],"minimal_cycle":[561,148,561],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[90,554],"circle_positions":826,"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":[91,555,1019],"clock_positions":[91,555,1019],"native_values":[803,390,803],"rotation_degrees":23.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,390,803],"beta":{"interval_sums":[193307,185047,183808],"interval_residues":[23,23,436],"display_cycle":[23,23,436],"intervals":[{"from_index":91,"to_index":555,"sum":193307,"residue":23},{"from_index":555,"to_index":1019,"sum":185047,"residue":23},{"from_index":1019,"to_index":91,"sum":183808,"residue":436}],"minimal_cycle":[23,23,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[91,555],"circle_positions":826,"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":[92,556,1020],"clock_positions":[92,556,1020],"native_values":[655,655,242],"rotation_degrees":23.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,655,242],"beta":{"interval_sums":[193042,185195,184369],"interval_residues":[584,171,171],"display_cycle":[584,171,171],"intervals":[{"from_index":92,"to_index":556,"sum":193042,"residue":584},{"from_index":556,"to_index":1020,"sum":185195,"residue":171},{"from_index":1020,"to_index":92,"sum":184369,"residue":171}],"minimal_cycle":[584,171,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[92,556],"circle_positions":826,"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":[93,557,1021],"clock_positions":[93,557,1021],"native_values":[632,219,219],"rotation_degrees":24.051724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,219,219],"beta":{"interval_sums":[193065,185218,184805],"interval_residues":[607,194,607],"display_cycle":[607,194,607],"intervals":[{"from_index":93,"to_index":557,"sum":193065,"residue":607},{"from_index":557,"to_index":1021,"sum":185218,"residue":194},{"from_index":1021,"to_index":93,"sum":184805,"residue":607}],"minimal_cycle":[607,194,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":607,"start_interval_clock_positions":[93,557],"circle_positions":826,"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":[94,558,1022],"clock_positions":[94,558,1022],"native_values":[461,48,461],"rotation_degrees":24.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,48,461],"beta":{"interval_sums":[192823,185389,184976],"interval_residues":[365,365,778],"display_cycle":[365,365,778],"intervals":[{"from_index":94,"to_index":558,"sum":192823,"residue":365},{"from_index":558,"to_index":1022,"sum":185389,"residue":365},{"from_index":1022,"to_index":94,"sum":184976,"residue":778}],"minimal_cycle":[365,365,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[94,558],"circle_positions":826,"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":[95,559,1023],"clock_positions":[95,559,1023],"native_values":[267,267,680],"rotation_degrees":24.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,267,680],"beta":{"interval_sums":[192604,185583,184757],"interval_residues":[146,559,559],"display_cycle":[146,559,559],"intervals":[{"from_index":95,"to_index":559,"sum":192604,"residue":146},{"from_index":559,"to_index":1023,"sum":185583,"residue":559},{"from_index":1023,"to_index":95,"sum":184757,"residue":559}],"minimal_cycle":[146,559,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[95,559],"circle_positions":826,"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":[96,560,1024],"clock_positions":[96,560,1024],"native_values":[728,315,315],"rotation_degrees":24.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[728,315,315],"beta":{"interval_sums":[192143,185948,184709],"interval_residues":[511,98,511],"display_cycle":[511,98,511],"intervals":[{"from_index":96,"to_index":560,"sum":192143,"residue":511},{"from_index":560,"to_index":1024,"sum":185948,"residue":98},{"from_index":1024,"to_index":96,"sum":184709,"residue":511}],"minimal_cycle":[511,98,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[96,560],"circle_positions":826,"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":[97,561,1025],"clock_positions":[97,561,1025],"native_values":[169,582,169],"rotation_degrees":25.086206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,582,169],"beta":{"interval_sums":[192289,185681,185268],"interval_residues":[657,657,244],"display_cycle":[657,657,244],"intervals":[{"from_index":97,"to_index":561,"sum":192289,"residue":657},{"from_index":561,"to_index":1025,"sum":185681,"residue":657},{"from_index":1025,"to_index":97,"sum":185268,"residue":244}],"minimal_cycle":[657,657,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[97,561],"circle_positions":826,"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":[98,562,1026],"clock_positions":[98,562,1026],"native_values":[71,71,484],"rotation_degrees":25.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,71,484],"beta":{"interval_sums":[192800,185779,184953],"interval_residues":[342,755,755],"display_cycle":[342,755,755],"intervals":[{"from_index":98,"to_index":562,"sum":192800,"residue":342},{"from_index":562,"to_index":1026,"sum":185779,"residue":755},{"from_index":1026,"to_index":98,"sum":184953,"residue":755}],"minimal_cycle":[342,755,755],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[98,562],"circle_positions":826,"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":[99,563,1027],"clock_positions":[99,563,1027],"native_values":[240,653,653],"rotation_degrees":25.603448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,653,653],"beta":{"interval_sums":[192631,185610,184371],"interval_residues":[173,586,173],"display_cycle":[173,586,173],"intervals":[{"from_index":99,"to_index":563,"sum":192631,"residue":173},{"from_index":563,"to_index":1027,"sum":185610,"residue":586},{"from_index":1027,"to_index":99,"sum":184371,"residue":173}],"minimal_cycle":[173,586,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[99,563],"circle_positions":826,"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":[100,564,1028],"clock_positions":[100,564,1028],"native_values":[311,724,311],"rotation_degrees":25.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,724,311],"beta":{"interval_sums":[192973,185539,184300],"interval_residues":[515,515,102],"display_cycle":[515,515,102],"intervals":[{"from_index":100,"to_index":564,"sum":192973,"residue":515},{"from_index":564,"to_index":1028,"sum":185539,"residue":515},{"from_index":1028,"to_index":100,"sum":184300,"residue":102}],"minimal_cycle":[515,515,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":515,"start_interval_clock_positions":[100,564],"circle_positions":826,"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":[101,565,1029],"clock_positions":[101,565,1029],"native_values":[551,551,138],"rotation_degrees":26.120689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,551,138],"beta":{"interval_sums":[193146,185299,184473],"interval_residues":[688,275,275],"display_cycle":[688,275,275],"intervals":[{"from_index":101,"to_index":565,"sum":193146,"residue":688},{"from_index":565,"to_index":1029,"sum":185299,"residue":275},{"from_index":1029,"to_index":101,"sum":184473,"residue":275}],"minimal_cycle":[688,275,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[101,565],"circle_positions":826,"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":[102,566,1030],"clock_positions":[102,566,1030],"native_values":[36,449,449],"rotation_degrees":26.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,449,449],"beta":{"interval_sums":[193661,184988,184575],"interval_residues":[377,790,377],"display_cycle":[377,790,377],"intervals":[{"from_index":102,"to_index":566,"sum":193661,"residue":377},{"from_index":566,"to_index":1030,"sum":184988,"residue":790},{"from_index":1030,"to_index":102,"sum":184575,"residue":377}],"minimal_cycle":[377,790,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[102,566],"circle_positions":826,"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":[103,567,1031],"clock_positions":[103,567,1031],"native_values":[587,174,587],"rotation_degrees":26.637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,174,587],"beta":{"interval_sums":[193523,185263,184024],"interval_residues":[239,239,652],"display_cycle":[239,239,652],"intervals":[{"from_index":103,"to_index":567,"sum":193523,"residue":239},{"from_index":567,"to_index":1031,"sum":185263,"residue":239},{"from_index":1031,"to_index":103,"sum":184024,"residue":652}],"minimal_cycle":[239,239,652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[103,567],"circle_positions":826,"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":[104,568,1032],"clock_positions":[104,568,1032],"native_values":[623,623,210],"rotation_degrees":26.896551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,623,210],"beta":{"interval_sums":[193074,185227,184401],"interval_residues":[616,203,203],"display_cycle":[616,203,203],"intervals":[{"from_index":104,"to_index":568,"sum":193074,"residue":616},{"from_index":568,"to_index":1032,"sum":185227,"residue":203},{"from_index":1032,"to_index":104,"sum":184401,"residue":203}],"minimal_cycle":[616,203,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[104,568],"circle_positions":826,"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":[105,569,1033],"clock_positions":[105,569,1033],"native_values":[384,797,797],"rotation_degrees":27.155172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,797,797],"beta":{"interval_sums":[193313,184640,184227],"interval_residues":[29,442,29],"display_cycle":[29,442,29],"intervals":[{"from_index":105,"to_index":569,"sum":193313,"residue":29},{"from_index":569,"to_index":1033,"sum":184640,"residue":442},{"from_index":1033,"to_index":105,"sum":184227,"residue":29}],"minimal_cycle":[29,442,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[105,569],"circle_positions":826,"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":[106,570,1034],"clock_positions":[106,570,1034],"native_values":[181,594,181],"rotation_degrees":27.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,594,181],"beta":{"interval_sums":[193929,184843,184430],"interval_residues":[645,645,232],"display_cycle":[645,645,232],"intervals":[{"from_index":106,"to_index":570,"sum":193929,"residue":645},{"from_index":570,"to_index":1034,"sum":184843,"residue":645},{"from_index":1034,"to_index":106,"sum":184430,"residue":232}],"minimal_cycle":[645,645,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[106,570],"circle_positions":826,"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":[107,571,1035],"clock_positions":[107,571,1035],"native_values":[565,565,152],"rotation_degrees":27.67241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,565,152],"beta":{"interval_sums":[193958,184459,184459],"interval_residues":[674,261,261],"display_cycle":[674,261,261],"intervals":[{"from_index":107,"to_index":571,"sum":193958,"residue":674},{"from_index":571,"to_index":1035,"sum":184459,"residue":261},{"from_index":1035,"to_index":107,"sum":184459,"residue":261}],"minimal_cycle":[674,261,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[107,571],"circle_positions":826,"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":[108,572,1036],"clock_positions":[108,572,1036],"native_values":[746,333,333],"rotation_degrees":27.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[746,333,333],"beta":{"interval_sums":[193777,184278,184691],"interval_residues":[493,80,493],"display_cycle":[493,80,493],"intervals":[{"from_index":108,"to_index":572,"sum":193777,"residue":493},{"from_index":572,"to_index":1036,"sum":184278,"residue":80},{"from_index":1036,"to_index":108,"sum":184691,"residue":493}],"minimal_cycle":[493,80,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":493,"start_interval_clock_positions":[108,572],"circle_positions":826,"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":[109,573,1037],"clock_positions":[109,573,1037],"native_values":[485,72,485],"rotation_degrees":28.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,72,485],"beta":{"interval_sums":[193625,184539,184952],"interval_residues":[341,341,754],"display_cycle":[341,341,754],"intervals":[{"from_index":109,"to_index":573,"sum":193625,"residue":341},{"from_index":573,"to_index":1037,"sum":184539,"residue":341},{"from_index":1037,"to_index":109,"sum":184952,"residue":754}],"minimal_cycle":[341,341,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[109,573],"circle_positions":826,"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":[110,574,1038],"clock_positions":[110,574,1038],"native_values":[405,405,818],"rotation_degrees":28.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,818],"beta":{"interval_sums":[193292,184619,184619],"interval_residues":[8,421,421],"display_cycle":[8,421,421],"intervals":[{"from_index":110,"to_index":574,"sum":193292,"residue":8},{"from_index":574,"to_index":1038,"sum":184619,"residue":421},{"from_index":1038,"to_index":110,"sum":184619,"residue":421}],"minimal_cycle":[8,421,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[110,574],"circle_positions":826,"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":[111,575,1039],"clock_positions":[111,575,1039],"native_values":[64,477,477],"rotation_degrees":28.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,477,477],"beta":{"interval_sums":[193633,184960,184547],"interval_residues":[349,762,349],"display_cycle":[349,762,349],"intervals":[{"from_index":111,"to_index":575,"sum":193633,"residue":349},{"from_index":575,"to_index":1039,"sum":184960,"residue":762},{"from_index":1039,"to_index":111,"sum":184547,"residue":349}],"minimal_cycle":[349,762,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[111,575],"circle_positions":826,"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":[112,576,1040],"clock_positions":[112,576,1040],"native_values":[469,56,469],"rotation_degrees":28.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,56,469],"beta":{"interval_sums":[193641,185381,184142],"interval_residues":[357,357,770],"display_cycle":[357,357,770],"intervals":[{"from_index":112,"to_index":576,"sum":193641,"residue":357},{"from_index":576,"to_index":1040,"sum":185381,"residue":357},{"from_index":1040,"to_index":112,"sum":184142,"residue":770}],"minimal_cycle":[357,357,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[112,576],"circle_positions":826,"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":[113,577,1041],"clock_positions":[113,577,1041],"native_values":[533,533,120],"rotation_degrees":29.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,533,120],"beta":{"interval_sums":[193164,185317,184491],"interval_residues":[706,293,293],"display_cycle":[706,293,293],"intervals":[{"from_index":113,"to_index":577,"sum":193164,"residue":706},{"from_index":577,"to_index":1041,"sum":185317,"residue":293},{"from_index":1041,"to_index":113,"sum":184491,"residue":293}],"minimal_cycle":[706,293,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[113,577],"circle_positions":826,"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":[114,578,1042],"clock_positions":[114,578,1042],"native_values":[176,589,589],"rotation_degrees":29.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,589,589],"beta":{"interval_sums":[193521,184848,184435],"interval_residues":[237,650,237],"display_cycle":[237,650,237],"intervals":[{"from_index":114,"to_index":578,"sum":193521,"residue":237},{"from_index":578,"to_index":1042,"sum":184848,"residue":650},{"from_index":1042,"to_index":114,"sum":184435,"residue":237}],"minimal_cycle":[237,650,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[114,578],"circle_positions":826,"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":[115,579,1043],"clock_positions":[115,579,1043],"native_values":[709,296,709],"rotation_degrees":29.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,296,709],"beta":{"interval_sums":[193401,185141,183902],"interval_residues":[117,117,530],"display_cycle":[117,117,530],"intervals":[{"from_index":115,"to_index":579,"sum":193401,"residue":117},{"from_index":579,"to_index":1043,"sum":185141,"residue":117},{"from_index":1043,"to_index":115,"sum":183902,"residue":530}],"minimal_cycle":[117,117,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[115,579],"circle_positions":826,"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":[116,580,1044],"clock_positions":[116,580,1044],"native_values":[59,59,472],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,59,472],"beta":{"interval_sums":[193638,185791,184139],"interval_residues":[354,767,767],"display_cycle":[354,767,767],"intervals":[{"from_index":116,"to_index":580,"sum":193638,"residue":354},{"from_index":580,"to_index":1044,"sum":185791,"residue":767},{"from_index":1044,"to_index":116,"sum":184139,"residue":767}],"minimal_cycle":[354,767,767],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[116,580],"circle_positions":826,"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":[117,581,1045],"clock_positions":[117,581,1045],"native_values":[768,355,355],"rotation_degrees":30.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,355,355],"beta":{"interval_sums":[192929,185908,183843],"interval_residues":[471,58,471],"display_cycle":[471,58,471],"intervals":[{"from_index":117,"to_index":581,"sum":192929,"residue":471},{"from_index":581,"to_index":1045,"sum":185908,"residue":58},{"from_index":1045,"to_index":117,"sum":183843,"residue":471}],"minimal_cycle":[471,58,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[117,581],"circle_positions":826,"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":[118,582,1046],"clock_positions":[118,582,1046],"native_values":[1,414,1],"rotation_degrees":30.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,414,1],"beta":{"interval_sums":[193283,185849,184610],"interval_residues":[825,825,412],"display_cycle":[825,825,412],"intervals":[{"from_index":118,"to_index":582,"sum":193283,"residue":825},{"from_index":582,"to_index":1046,"sum":185849,"residue":825},{"from_index":1046,"to_index":118,"sum":184610,"residue":412}],"minimal_cycle":[825,825,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":825,"start_interval_clock_positions":[118,582],"circle_positions":826,"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":[119,583,1047],"clock_positions":[119,583,1047],"native_values":[769,769,356],"rotation_degrees":30.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,769,356],"beta":{"interval_sums":[192928,185081,184255],"interval_residues":[470,57,57],"display_cycle":[470,57,57],"intervals":[{"from_index":119,"to_index":583,"sum":192928,"residue":470},{"from_index":583,"to_index":1047,"sum":185081,"residue":57},{"from_index":1047,"to_index":119,"sum":184255,"residue":57}],"minimal_cycle":[470,57,57],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[119,583],"circle_positions":826,"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":[120,584,1048],"clock_positions":[120,584,1048],"native_values":[770,357,357],"rotation_degrees":31.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[770,357,357],"beta":{"interval_sums":[192927,185080,184667],"interval_residues":[469,56,469],"display_cycle":[469,56,469],"intervals":[{"from_index":120,"to_index":584,"sum":192927,"residue":469},{"from_index":584,"to_index":1048,"sum":185080,"residue":56},{"from_index":1048,"to_index":120,"sum":184667,"residue":469}],"minimal_cycle":[469,56,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":469,"start_interval_clock_positions":[120,584],"circle_positions":826,"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":[121,585,1049],"clock_positions":[121,585,1049],"native_values":[713,300,713],"rotation_degrees":31.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,300,713],"beta":{"interval_sums":[192571,185137,184724],"interval_residues":[113,113,526],"display_cycle":[113,113,526],"intervals":[{"from_index":121,"to_index":585,"sum":192571,"residue":113},{"from_index":585,"to_index":1049,"sum":185137,"residue":113},{"from_index":1049,"to_index":121,"sum":184724,"residue":526}],"minimal_cycle":[113,113,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[121,585],"circle_positions":826,"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":[122,586,1050],"clock_positions":[122,586,1050],"native_values":[657,657,244],"rotation_degrees":31.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,657,244],"beta":{"interval_sums":[192214,185193,185193],"interval_residues":[582,169,169],"display_cycle":[582,169,169],"intervals":[{"from_index":122,"to_index":586,"sum":192214,"residue":582},{"from_index":586,"to_index":1050,"sum":185193,"residue":169},{"from_index":1050,"to_index":122,"sum":185193,"residue":169}],"minimal_cycle":[582,169,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[122,586],"circle_positions":826,"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":[123,587,1051],"clock_positions":[123,587,1051],"native_values":[544,131,131],"rotation_degrees":31.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,131,131],"beta":{"interval_sums":[192327,185306,185719],"interval_residues":[695,282,695],"display_cycle":[695,282,695],"intervals":[{"from_index":123,"to_index":587,"sum":192327,"residue":695},{"from_index":587,"to_index":1051,"sum":185306,"residue":282},{"from_index":1051,"to_index":123,"sum":185719,"residue":695}],"minimal_cycle":[695,282,695],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[123,587],"circle_positions":826,"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":[124,588,1052],"clock_positions":[124,588,1052],"native_values":[375,788,375],"rotation_degrees":32.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,788,375],"beta":{"interval_sums":[192083,184649,185888],"interval_residues":[451,451,38],"display_cycle":[451,451,38],"intervals":[{"from_index":124,"to_index":588,"sum":192083,"residue":451},{"from_index":588,"to_index":1052,"sum":184649,"residue":451},{"from_index":1052,"to_index":124,"sum":185888,"residue":38}],"minimal_cycle":[451,451,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[124,588],"circle_positions":826,"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":[125,589,1053],"clock_positions":[125,589,1053],"native_values":[93,93,506],"rotation_degrees":32.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,93,506],"beta":{"interval_sums":[192778,184931,185757],"interval_residues":[320,733,733],"display_cycle":[320,733,733],"intervals":[{"from_index":125,"to_index":589,"sum":192778,"residue":320},{"from_index":589,"to_index":1053,"sum":184931,"residue":733},{"from_index":1053,"to_index":125,"sum":185757,"residue":733}],"minimal_cycle":[320,733,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[125,589],"circle_positions":826,"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":[126,590,1054],"clock_positions":[126,590,1054],"native_values":[468,55,55],"rotation_degrees":32.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,55,55],"beta":{"interval_sums":[192403,185382,185795],"interval_residues":[771,358,771],"display_cycle":[771,358,771],"intervals":[{"from_index":126,"to_index":590,"sum":192403,"residue":771},{"from_index":590,"to_index":1054,"sum":185382,"residue":358},{"from_index":1054,"to_index":126,"sum":185795,"residue":771}],"minimal_cycle":[771,358,771],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":771,"start_interval_clock_positions":[126,590],"circle_positions":826,"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":[127,591,1055],"clock_positions":[127,591,1055],"native_values":[561,148,561],"rotation_degrees":32.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,148,561],"beta":{"interval_sums":[191897,185289,185702],"interval_residues":[265,265,678],"display_cycle":[265,265,678],"intervals":[{"from_index":127,"to_index":591,"sum":191897,"residue":265},{"from_index":591,"to_index":1055,"sum":185289,"residue":265},{"from_index":1055,"to_index":127,"sum":185702,"residue":678}],"minimal_cycle":[265,265,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[127,591],"circle_positions":826,"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":[128,592,1056],"clock_positions":[128,592,1056],"native_values":[203,203,616],"rotation_degrees":33.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,203,616],"beta":{"interval_sums":[191842,185647,185647],"interval_residues":[210,623,623],"display_cycle":[210,623,623],"intervals":[{"from_index":128,"to_index":592,"sum":191842,"residue":210},{"from_index":592,"to_index":1056,"sum":185647,"residue":623},{"from_index":1056,"to_index":128,"sum":185647,"residue":623}],"minimal_cycle":[210,623,623],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[128,592],"circle_positions":826,"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":[129,593,1057],"clock_positions":[129,593,1057],"native_values":[764,351,351],"rotation_degrees":33.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,351,351],"beta":{"interval_sums":[191281,185912,185499],"interval_residues":[475,62,475],"display_cycle":[475,62,475],"intervals":[{"from_index":129,"to_index":593,"sum":191281,"residue":475},{"from_index":593,"to_index":1057,"sum":185912,"residue":62},{"from_index":1057,"to_index":129,"sum":185499,"residue":475}],"minimal_cycle":[475,62,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[129,593],"circle_positions":826,"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":[130,594,1058],"clock_positions":[130,594,1058],"native_values":[141,554,141],"rotation_degrees":33.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,554,141],"beta":{"interval_sums":[191491,185709,186122],"interval_residues":[685,685,272],"display_cycle":[685,685,272],"intervals":[{"from_index":130,"to_index":594,"sum":191491,"residue":685},{"from_index":594,"to_index":1058,"sum":185709,"residue":685},{"from_index":1058,"to_index":130,"sum":186122,"residue":272}],"minimal_cycle":[685,685,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":685,"start_interval_clock_positions":[130,594],"circle_positions":826,"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":[131,595,1059],"clock_positions":[131,595,1059],"native_values":[79,79,492],"rotation_degrees":33.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,79,492],"beta":{"interval_sums":[191966,185771,185771],"interval_residues":[334,747,747],"display_cycle":[334,747,747],"intervals":[{"from_index":131,"to_index":595,"sum":191966,"residue":334},{"from_index":595,"to_index":1059,"sum":185771,"residue":747},{"from_index":1059,"to_index":131,"sum":185771,"residue":747}],"minimal_cycle":[334,747,747],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[131,595],"circle_positions":826,"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":[132,596,1060],"clock_positions":[132,596,1060],"native_values":[220,633,633],"rotation_degrees":34.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,633,633],"beta":{"interval_sums":[191825,185630,185217],"interval_residues":[193,606,193],"display_cycle":[193,606,193],"intervals":[{"from_index":132,"to_index":596,"sum":191825,"residue":193},{"from_index":596,"to_index":1060,"sum":185630,"residue":606},{"from_index":1060,"to_index":132,"sum":185217,"residue":193}],"minimal_cycle":[193,606,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[132,596],"circle_positions":826,"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":[133,597,1061],"clock_positions":[133,597,1061],"native_values":[299,712,299],"rotation_degrees":34.39655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,712,299],"beta":{"interval_sums":[192159,185551,185138],"interval_residues":[527,527,114],"display_cycle":[527,527,114],"intervals":[{"from_index":133,"to_index":597,"sum":192159,"residue":527},{"from_index":597,"to_index":1061,"sum":185551,"residue":527},{"from_index":1061,"to_index":133,"sum":185138,"residue":114}],"minimal_cycle":[527,527,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":527,"start_interval_clock_positions":[133,597],"circle_positions":826,"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":[134,598,1062],"clock_positions":[134,598,1062],"native_values":[519,519,106],"rotation_degrees":34.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,519,106],"beta":{"interval_sums":[192352,185331,185331],"interval_residues":[720,307,307],"display_cycle":[720,307,307],"intervals":[{"from_index":134,"to_index":598,"sum":192352,"residue":720},{"from_index":598,"to_index":1062,"sum":185331,"residue":307},{"from_index":1062,"to_index":134,"sum":185331,"residue":307}],"minimal_cycle":[720,307,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[134,598],"circle_positions":826,"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":[135,599,1063],"clock_positions":[135,599,1063],"native_values":[818,405,405],"rotation_degrees":34.91379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[818,405,405],"beta":{"interval_sums":[192053,185032,185445],"interval_residues":[421,8,421],"display_cycle":[421,8,421],"intervals":[{"from_index":135,"to_index":599,"sum":192053,"residue":421},{"from_index":599,"to_index":1063,"sum":185032,"residue":8},{"from_index":1063,"to_index":135,"sum":185445,"residue":421}],"minimal_cycle":[421,8,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[135,599],"circle_positions":826,"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":[136,600,1064],"clock_positions":[136,600,1064],"native_values":[511,98,511],"rotation_degrees":35.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,98,511],"beta":{"interval_sums":[191947,185339,185752],"interval_residues":[315,315,728],"display_cycle":[315,315,728],"intervals":[{"from_index":136,"to_index":600,"sum":191947,"residue":315},{"from_index":600,"to_index":1064,"sum":185339,"residue":315},{"from_index":1064,"to_index":136,"sum":185752,"residue":728}],"minimal_cycle":[315,315,728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[136,600],"circle_positions":826,"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":[137,601,1065],"clock_positions":[137,601,1065],"native_values":[503,503,90],"rotation_degrees":35.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,503,90],"beta":{"interval_sums":[191542,185347,186173],"interval_residues":[736,323,323],"display_cycle":[736,323,323],"intervals":[{"from_index":137,"to_index":601,"sum":191542,"residue":736},{"from_index":601,"to_index":1065,"sum":185347,"residue":323},{"from_index":1065,"to_index":137,"sum":186173,"residue":323}],"minimal_cycle":[736,323,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[137,601],"circle_positions":826,"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":[138,602,1066],"clock_positions":[138,602,1066],"native_values":[188,601,601],"rotation_degrees":35.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,601,601],"beta":{"interval_sums":[191857,184836,186075],"interval_residues":[225,638,225],"display_cycle":[225,638,225],"intervals":[{"from_index":138,"to_index":602,"sum":191857,"residue":225},{"from_index":602,"to_index":1066,"sum":184836,"residue":638},{"from_index":1066,"to_index":138,"sum":186075,"residue":225}],"minimal_cycle":[225,638,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[138,602],"circle_positions":826,"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":[139,603,1067],"clock_positions":[139,603,1067],"native_values":[691,278,691],"rotation_degrees":35.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,278,691],"beta":{"interval_sums":[191767,185159,185572],"interval_residues":[135,135,548],"display_cycle":[135,135,548],"intervals":[{"from_index":139,"to_index":603,"sum":191767,"residue":135},{"from_index":603,"to_index":1067,"sum":185159,"residue":135},{"from_index":1067,"to_index":139,"sum":185572,"residue":548}],"minimal_cycle":[135,135,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[139,603],"circle_positions":826,"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":[140,604,1068],"clock_positions":[140,604,1068],"native_values":[53,53,466],"rotation_degrees":36.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,53,466],"beta":{"interval_sums":[191992,185797,185797],"interval_residues":[360,773,773],"display_cycle":[360,773,773],"intervals":[{"from_index":140,"to_index":604,"sum":191992,"residue":360},{"from_index":604,"to_index":1068,"sum":185797,"residue":773},{"from_index":1068,"to_index":140,"sum":185797,"residue":773}],"minimal_cycle":[360,773,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[140,604],"circle_positions":826,"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":[141,605,1069],"clock_positions":[141,605,1069],"native_values":[744,331,331],"rotation_degrees":36.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,331,331],"beta":{"interval_sums":[191301,185932,185519],"interval_residues":[495,82,495],"display_cycle":[495,82,495],"intervals":[{"from_index":141,"to_index":605,"sum":191301,"residue":495},{"from_index":605,"to_index":1069,"sum":185932,"residue":82},{"from_index":1069,"to_index":141,"sum":185519,"residue":495}],"minimal_cycle":[495,82,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[141,605],"circle_positions":826,"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":[142,606,1070],"clock_positions":[142,606,1070],"native_values":[797,384,797],"rotation_degrees":36.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,384,797],"beta":{"interval_sums":[190835,185879,185466],"interval_residues":[29,29,442],"display_cycle":[29,29,442],"intervals":[{"from_index":142,"to_index":606,"sum":190835,"residue":29},{"from_index":606,"to_index":1070,"sum":185879,"residue":29},{"from_index":1070,"to_index":142,"sum":185466,"residue":442}],"minimal_cycle":[29,29,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[142,606],"circle_positions":826,"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":[143,607,1071],"clock_positions":[143,607,1071],"native_values":[715,715,302],"rotation_degrees":36.98275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,715,302],"beta":{"interval_sums":[190504,185961,185961],"interval_residues":[524,111,111],"display_cycle":[524,111,111],"intervals":[{"from_index":143,"to_index":607,"sum":190504,"residue":524},{"from_index":607,"to_index":1071,"sum":185961,"residue":111},{"from_index":1071,"to_index":143,"sum":185961,"residue":111}],"minimal_cycle":[524,111,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[143,607],"circle_positions":826,"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":[144,608,1072],"clock_positions":[144,608,1072],"native_values":[686,273,273],"rotation_degrees":37.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,273,273],"beta":{"interval_sums":[190533,185990,186403],"interval_residues":[553,140,553],"display_cycle":[553,140,553],"intervals":[{"from_index":144,"to_index":608,"sum":190533,"residue":553},{"from_index":608,"to_index":1072,"sum":185990,"residue":140},{"from_index":1072,"to_index":144,"sum":186403,"residue":553}],"minimal_cycle":[553,140,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":553,"start_interval_clock_positions":[144,608],"circle_positions":826,"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":[145,609,1073],"clock_positions":[145,609,1073],"native_values":[575,162,575],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,162,575],"beta":{"interval_sums":[190231,186101,186514],"interval_residues":[251,251,664],"display_cycle":[251,251,664],"intervals":[{"from_index":145,"to_index":609,"sum":190231,"residue":251},{"from_index":609,"to_index":1073,"sum":186101,"residue":251},{"from_index":1073,"to_index":145,"sum":186514,"residue":664}],"minimal_cycle":[251,251,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[145,609],"circle_positions":826,"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":[146,610,1074],"clock_positions":[146,610,1074],"native_values":[435,435,22],"rotation_degrees":37.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,435,22],"beta":{"interval_sums":[189958,186241,187067],"interval_residues":[804,391,391],"display_cycle":[804,391,391],"intervals":[{"from_index":146,"to_index":610,"sum":189958,"residue":804},{"from_index":610,"to_index":1074,"sum":186241,"residue":391},{"from_index":1074,"to_index":146,"sum":187067,"residue":391}],"minimal_cycle":[804,391,391],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[146,610],"circle_positions":826,"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":[147,611,1075],"clock_positions":[147,611,1075],"native_values":[184,597,597],"rotation_degrees":38.01724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,597,597],"beta":{"interval_sums":[190209,185666,186905],"interval_residues":[229,642,229],"display_cycle":[229,642,229],"intervals":[{"from_index":147,"to_index":611,"sum":190209,"residue":229},{"from_index":611,"to_index":1075,"sum":185666,"residue":642},{"from_index":1075,"to_index":147,"sum":186905,"residue":229}],"minimal_cycle":[229,642,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[147,611],"circle_positions":826,"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":[148,612,1076],"clock_positions":[148,612,1076],"native_values":[619,206,619],"rotation_degrees":38.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,206,619],"beta":{"interval_sums":[190187,186057,186470],"interval_residues":[207,207,620],"display_cycle":[207,207,620],"intervals":[{"from_index":148,"to_index":612,"sum":190187,"residue":207},{"from_index":612,"to_index":1076,"sum":186057,"residue":207},{"from_index":1076,"to_index":148,"sum":186470,"residue":620}],"minimal_cycle":[207,207,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[148,612],"circle_positions":826,"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":[149,613,1077],"clock_positions":[149,613,1077],"native_values":[803,803,390],"rotation_degrees":38.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,803,390],"beta":{"interval_sums":[189590,185873,186699],"interval_residues":[436,23,23],"display_cycle":[436,23,23],"intervals":[{"from_index":149,"to_index":613,"sum":189590,"residue":436},{"from_index":613,"to_index":1077,"sum":185873,"residue":23},{"from_index":1077,"to_index":149,"sum":186699,"residue":23}],"minimal_cycle":[436,23,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[149,613],"circle_positions":826,"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":[150,614,1078],"clock_positions":[150,614,1078],"native_values":[596,183,183],"rotation_degrees":38.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,183,183],"beta":{"interval_sums":[189797,186080,187319],"interval_residues":[643,230,643],"display_cycle":[643,230,643],"intervals":[{"from_index":150,"to_index":614,"sum":189797,"residue":643},{"from_index":614,"to_index":1078,"sum":186080,"residue":230},{"from_index":1078,"to_index":150,"sum":187319,"residue":643}],"minimal_cycle":[643,230,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[150,614],"circle_positions":826,"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":[151,615,1079],"clock_positions":[151,615,1079],"native_values":[573,160,573],"rotation_degrees":39.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,160,573],"beta":{"interval_sums":[189407,186103,187342],"interval_residues":[253,253,666],"display_cycle":[253,253,666],"intervals":[{"from_index":151,"to_index":615,"sum":189407,"residue":253},{"from_index":615,"to_index":1079,"sum":186103,"residue":253},{"from_index":1079,"to_index":151,"sum":187342,"residue":666}],"minimal_cycle":[253,253,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[151,615],"circle_positions":826,"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":[152,616,1080],"clock_positions":[152,616,1080],"native_values":[343,343,756],"rotation_degrees":39.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,343,756],"beta":{"interval_sums":[189224,186333,187159],"interval_residues":[70,483,483],"display_cycle":[70,483,483],"intervals":[{"from_index":152,"to_index":616,"sum":189224,"residue":70},{"from_index":616,"to_index":1080,"sum":186333,"residue":483},{"from_index":1080,"to_index":152,"sum":187159,"residue":483}],"minimal_cycle":[70,483,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[152,616],"circle_positions":826,"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":[153,617,1081],"clock_positions":[153,617,1081],"native_values":[90,503,503],"rotation_degrees":39.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,503,503],"beta":{"interval_sums":[189477,186586,186999],"interval_residues":[323,736,323],"display_cycle":[323,736,323],"intervals":[{"from_index":153,"to_index":617,"sum":189477,"residue":323},{"from_index":617,"to_index":1081,"sum":186586,"residue":736},{"from_index":1081,"to_index":153,"sum":186999,"residue":323}],"minimal_cycle":[323,736,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[153,617],"circle_positions":826,"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":[154,618,1082],"clock_positions":[154,618,1082],"native_values":[433,20,433],"rotation_degrees":39.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,20,433],"beta":{"interval_sums":[189547,187069,186656],"interval_residues":[393,393,806],"display_cycle":[393,393,806],"intervals":[{"from_index":154,"to_index":618,"sum":189547,"residue":393},{"from_index":618,"to_index":1082,"sum":187069,"residue":393},{"from_index":1082,"to_index":154,"sum":186656,"residue":806}],"minimal_cycle":[393,393,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[154,618],"circle_positions":826,"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":[155,619,1083],"clock_positions":[155,619,1083],"native_values":[523,523,110],"rotation_degrees":40.08620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,110],"beta":{"interval_sums":[189044,186979,186979],"interval_residues":[716,303,303],"display_cycle":[716,303,303],"intervals":[{"from_index":155,"to_index":619,"sum":189044,"residue":716},{"from_index":619,"to_index":1083,"sum":186979,"residue":303},{"from_index":1083,"to_index":155,"sum":186979,"residue":303}],"minimal_cycle":[716,303,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[155,619],"circle_positions":826,"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":[156,620,1084],"clock_positions":[156,620,1084],"native_values":[130,543,543],"rotation_degrees":40.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,543,543],"beta":{"interval_sums":[189437,186546,186959],"interval_residues":[283,696,283],"display_cycle":[283,696,283],"intervals":[{"from_index":156,"to_index":620,"sum":189437,"residue":283},{"from_index":620,"to_index":1084,"sum":186546,"residue":696},{"from_index":1084,"to_index":156,"sum":186959,"residue":283}],"minimal_cycle":[283,696,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[156,620],"circle_positions":826,"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":[157,621,1085],"clock_positions":[157,621,1085],"native_values":[653,240,653],"rotation_degrees":40.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,240,653],"beta":{"interval_sums":[189327,186849,186436],"interval_residues":[173,173,586],"display_cycle":[173,173,586],"intervals":[{"from_index":157,"to_index":621,"sum":189327,"residue":173},{"from_index":621,"to_index":1085,"sum":186849,"residue":173},{"from_index":1085,"to_index":157,"sum":186436,"residue":586}],"minimal_cycle":[173,173,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[157,621],"circle_positions":826,"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":[158,622,1086],"clock_positions":[158,622,1086],"native_values":[783,783,370],"rotation_degrees":40.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[783,783,370],"beta":{"interval_sums":[188784,186719,186719],"interval_residues":[456,43,43],"display_cycle":[456,43,43],"intervals":[{"from_index":158,"to_index":622,"sum":188784,"residue":456},{"from_index":622,"to_index":1086,"sum":186719,"residue":43},{"from_index":1086,"to_index":158,"sum":186719,"residue":43}],"minimal_cycle":[456,43,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[158,622],"circle_positions":826,"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":[159,623,1087],"clock_positions":[159,623,1087],"native_values":[610,197,197],"rotation_degrees":41.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,197,197],"beta":{"interval_sums":[188957,186892,187305],"interval_residues":[629,216,629],"display_cycle":[629,216,629],"intervals":[{"from_index":159,"to_index":623,"sum":188957,"residue":629},{"from_index":623,"to_index":1087,"sum":186892,"residue":216},{"from_index":1087,"to_index":159,"sum":187305,"residue":629}],"minimal_cycle":[629,216,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[159,623],"circle_positions":826,"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":[160,624,1088],"clock_positions":[160,624,1088],"native_values":[567,154,567],"rotation_degrees":41.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,154,567],"beta":{"interval_sums":[188587,186935,187348],"interval_residues":[259,259,672],"display_cycle":[259,259,672],"intervals":[{"from_index":160,"to_index":624,"sum":188587,"residue":259},{"from_index":624,"to_index":1088,"sum":186935,"residue":259},{"from_index":1088,"to_index":160,"sum":187348,"residue":672}],"minimal_cycle":[259,259,672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[160,624],"circle_positions":826,"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":[161,625,1089],"clock_positions":[161,625,1089],"native_values":[351,351,764],"rotation_degrees":41.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,351,764],"beta":{"interval_sums":[188390,187151,187151],"interval_residues":[62,475,475],"display_cycle":[62,475,475],"intervals":[{"from_index":161,"to_index":625,"sum":188390,"residue":62},{"from_index":625,"to_index":1089,"sum":187151,"residue":475},{"from_index":1089,"to_index":161,"sum":187151,"residue":475}],"minimal_cycle":[62,475,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[161,625],"circle_positions":826,"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":[162,626,1090],"clock_positions":[162,626,1090],"native_values":[92,505,505],"rotation_degrees":41.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,505,505],"beta":{"interval_sums":[188649,187410,186997],"interval_residues":[321,734,321],"display_cycle":[321,734,321],"intervals":[{"from_index":162,"to_index":626,"sum":188649,"residue":321},{"from_index":626,"to_index":1090,"sum":187410,"residue":734},{"from_index":1090,"to_index":162,"sum":186997,"residue":321}],"minimal_cycle":[321,734,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":321,"start_interval_clock_positions":[162,626],"circle_positions":826,"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":[163,627,1091],"clock_positions":[163,627,1091],"native_values":[443,30,443],"rotation_degrees":42.1551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,30,443],"beta":{"interval_sums":[188711,187885,186646],"interval_residues":[383,383,796],"display_cycle":[383,383,796],"intervals":[{"from_index":163,"to_index":627,"sum":188711,"residue":383},{"from_index":627,"to_index":1091,"sum":187885,"residue":383},{"from_index":1091,"to_index":163,"sum":186646,"residue":796}],"minimal_cycle":[383,383,796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[163,627],"circle_positions":826,"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":[164,628,1092],"clock_positions":[164,628,1092],"native_values":[535,535,122],"rotation_degrees":42.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,535,122],"beta":{"interval_sums":[188206,187793,186967],"interval_residues":[704,291,291],"display_cycle":[704,291,291],"intervals":[{"from_index":164,"to_index":628,"sum":188206,"residue":704},{"from_index":628,"to_index":1092,"sum":187793,"residue":291},{"from_index":1092,"to_index":164,"sum":186967,"residue":291}],"minimal_cycle":[704,291,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[164,628],"circle_positions":826,"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":[165,629,1093],"clock_positions":[165,629,1093],"native_values":[152,565,565],"rotation_degrees":42.672413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,565,565],"beta":{"interval_sums":[188589,187350,186937],"interval_residues":[261,674,261],"display_cycle":[261,674,261],"intervals":[{"from_index":165,"to_index":629,"sum":188589,"residue":261},{"from_index":629,"to_index":1093,"sum":187350,"residue":674},{"from_index":1093,"to_index":165,"sum":186937,"residue":261}],"minimal_cycle":[261,674,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[165,629],"circle_positions":826,"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":[166,630,1094],"clock_positions":[166,630,1094],"native_values":[687,274,687],"rotation_degrees":42.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[687,274,687],"beta":{"interval_sums":[188467,187641,186402],"interval_residues":[139,139,552],"display_cycle":[139,139,552],"intervals":[{"from_index":166,"to_index":630,"sum":188467,"residue":139},{"from_index":630,"to_index":1094,"sum":187641,"residue":139},{"from_index":1094,"to_index":166,"sum":186402,"residue":552}],"minimal_cycle":[139,139,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":139,"start_interval_clock_positions":[166,630],"circle_positions":826,"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":[167,631,1095],"clock_positions":[167,631,1095],"native_values":[13,13,426],"rotation_degrees":43.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,13,426],"beta":{"interval_sums":[188728,188315,186663],"interval_residues":[400,813,813],"display_cycle":[400,813,813],"intervals":[{"from_index":167,"to_index":631,"sum":188728,"residue":400},{"from_index":631,"to_index":1095,"sum":188315,"residue":813},{"from_index":1095,"to_index":167,"sum":186663,"residue":813}],"minimal_cycle":[400,813,813],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[167,631],"circle_positions":826,"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":[168,632,1096],"clock_positions":[168,632,1096],"native_values":[700,287,287],"rotation_degrees":43.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[700,287,287],"beta":{"interval_sums":[188041,188454,186389],"interval_residues":[539,126,539],"display_cycle":[539,126,539],"intervals":[{"from_index":168,"to_index":632,"sum":188041,"residue":539},{"from_index":632,"to_index":1096,"sum":188454,"residue":126},{"from_index":1096,"to_index":168,"sum":186389,"residue":539}],"minimal_cycle":[539,126,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[168,632],"circle_positions":826,"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":[169,633,1097],"clock_positions":[169,633,1097],"native_values":[713,300,713],"rotation_degrees":43.706896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,300,713],"beta":{"interval_sums":[187615,188441,186376],"interval_residues":[113,113,526],"display_cycle":[113,113,526],"intervals":[{"from_index":169,"to_index":633,"sum":187615,"residue":113},{"from_index":633,"to_index":1097,"sum":188441,"residue":113},{"from_index":1097,"to_index":169,"sum":186376,"residue":526}],"minimal_cycle":[113,113,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[169,633],"circle_positions":826,"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":[170,634,1098],"clock_positions":[170,634,1098],"native_values":[587,587,174],"rotation_degrees":43.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,587,174],"beta":{"interval_sums":[187328,188567,186915],"interval_residues":[652,239,239],"display_cycle":[652,239,239],"intervals":[{"from_index":170,"to_index":634,"sum":187328,"residue":652},{"from_index":634,"to_index":1098,"sum":188567,"residue":239},{"from_index":1098,"to_index":170,"sum":186915,"residue":239}],"minimal_cycle":[652,239,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[170,634],"circle_positions":826,"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":[171,635,1099],"clock_positions":[171,635,1099],"native_values":[474,61,61],"rotation_degrees":44.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,61,61],"beta":{"interval_sums":[187441,188680,187441],"interval_residues":[765,352,765],"display_cycle":[765,352,765],"intervals":[{"from_index":171,"to_index":635,"sum":187441,"residue":765},{"from_index":635,"to_index":1099,"sum":188680,"residue":352},{"from_index":1099,"to_index":171,"sum":187441,"residue":765}],"minimal_cycle":[765,352,765],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":765,"start_interval_clock_positions":[171,635],"circle_positions":826,"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":[172,636,1100],"clock_positions":[172,636,1100],"native_values":[235,648,235],"rotation_degrees":44.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,648,235],"beta":{"interval_sums":[187267,188093,187680],"interval_residues":[591,591,178],"display_cycle":[591,591,178],"intervals":[{"from_index":172,"to_index":636,"sum":187267,"residue":591},{"from_index":636,"to_index":1100,"sum":188093,"residue":591},{"from_index":1100,"to_index":172,"sum":187680,"residue":178}],"minimal_cycle":[591,591,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":591,"start_interval_clock_positions":[172,636],"circle_positions":826,"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":[173,637,1101],"clock_positions":[173,637,1101],"native_values":[709,709,296],"rotation_degrees":44.741379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,709,296],"beta":{"interval_sums":[187206,187619,187619],"interval_residues":[530,117,117],"display_cycle":[530,117,117],"intervals":[{"from_index":173,"to_index":637,"sum":187206,"residue":530},{"from_index":637,"to_index":1101,"sum":187619,"residue":117},{"from_index":1101,"to_index":173,"sum":187619,"residue":117}],"minimal_cycle":[530,117,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[173,637],"circle_positions":826,"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":[174,638,1102],"clock_positions":[174,638,1102],"native_values":[118,531,531],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[118,531,531],"beta":{"interval_sums":[187797,187384,187797],"interval_residues":[295,708,295],"display_cycle":[295,708,295],"intervals":[{"from_index":174,"to_index":638,"sum":187797,"residue":295},{"from_index":638,"to_index":1102,"sum":187384,"residue":708},{"from_index":1102,"to_index":174,"sum":187797,"residue":295}],"minimal_cycle":[295,708,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[174,638],"circle_positions":826,"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":[175,639,1103],"clock_positions":[175,639,1103],"native_values":[1,414,1],"rotation_degrees":45.258620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,414,1],"beta":{"interval_sums":[188327,187501,187914],"interval_residues":[825,825,412],"display_cycle":[825,825,412],"intervals":[{"from_index":175,"to_index":639,"sum":188327,"residue":825},{"from_index":639,"to_index":1103,"sum":187501,"residue":825},{"from_index":1103,"to_index":175,"sum":187914,"residue":412}],"minimal_cycle":[825,825,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":825,"start_interval_clock_positions":[175,639],"circle_positions":826,"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":[176,640,1104],"clock_positions":[176,640,1104],"native_values":[119,119,532],"rotation_degrees":45.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,532],"beta":{"interval_sums":[188622,187383,187383],"interval_residues":[294,707,707],"display_cycle":[294,707,707],"intervals":[{"from_index":176,"to_index":640,"sum":188622,"residue":294},{"from_index":640,"to_index":1104,"sum":187383,"residue":707},{"from_index":1104,"to_index":176,"sum":187383,"residue":707}],"minimal_cycle":[294,707,707],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[176,640],"circle_positions":826,"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":[177,641,1105],"clock_positions":[177,641,1105],"native_values":[120,533,533],"rotation_degrees":45.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,533,533],"beta":{"interval_sums":[188621,187382,186969],"interval_residues":[293,706,293],"display_cycle":[293,706,293],"intervals":[{"from_index":177,"to_index":641,"sum":188621,"residue":293},{"from_index":641,"to_index":1105,"sum":187382,"residue":706},{"from_index":1105,"to_index":177,"sum":186969,"residue":293}],"minimal_cycle":[293,706,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[177,641],"circle_positions":826,"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":[178,642,1106],"clock_positions":[178,642,1106],"native_values":[239,652,239],"rotation_degrees":46.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,652,239],"beta":{"interval_sums":[188915,187263,186850],"interval_residues":[587,587,174],"display_cycle":[587,587,174],"intervals":[{"from_index":178,"to_index":642,"sum":188915,"residue":587},{"from_index":642,"to_index":1106,"sum":187263,"residue":587},{"from_index":1106,"to_index":178,"sum":186850,"residue":174}],"minimal_cycle":[587,587,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[178,642],"circle_positions":826,"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":[179,643,1107],"clock_positions":[179,643,1107],"native_values":[359,359,772],"rotation_degrees":46.293103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,359,772],"beta":{"interval_sums":[189208,187143,186317],"interval_residues":[54,467,467],"display_cycle":[54,467,467],"intervals":[{"from_index":179,"to_index":643,"sum":189208,"residue":54},{"from_index":643,"to_index":1107,"sum":187143,"residue":467},{"from_index":1107,"to_index":179,"sum":186317,"residue":467}],"minimal_cycle":[54,467,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[179,643],"circle_positions":826,"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":[180,644,1108],"clock_positions":[180,644,1108],"native_values":[598,185,185],"rotation_degrees":46.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,185,185],"beta":{"interval_sums":[188969,187730,186491],"interval_residues":[641,228,641],"display_cycle":[641,228,641],"intervals":[{"from_index":180,"to_index":644,"sum":188969,"residue":641},{"from_index":644,"to_index":1108,"sum":187730,"residue":228},{"from_index":1108,"to_index":180,"sum":186491,"residue":641}],"minimal_cycle":[641,228,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[180,644],"circle_positions":826,"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":[181,645,1109],"clock_positions":[181,645,1109],"native_values":[131,544,131],"rotation_degrees":46.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,544,131],"beta":{"interval_sums":[189023,187371,186958],"interval_residues":[695,695,282],"display_cycle":[695,695,282],"intervals":[{"from_index":181,"to_index":645,"sum":189023,"residue":695},{"from_index":645,"to_index":1109,"sum":187371,"residue":695},{"from_index":1109,"to_index":181,"sum":186958,"residue":282}],"minimal_cycle":[695,695,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[181,645],"circle_positions":826,"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":[182,646,1110],"clock_positions":[182,646,1110],"native_values":[729,729,316],"rotation_degrees":47.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,729,316],"beta":{"interval_sums":[188838,186773,186773],"interval_residues":[510,97,97],"display_cycle":[510,97,97],"intervals":[{"from_index":182,"to_index":646,"sum":188838,"residue":510},{"from_index":646,"to_index":1110,"sum":186773,"residue":97},{"from_index":1110,"to_index":182,"sum":186773,"residue":97}],"minimal_cycle":[510,97,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[182,646],"circle_positions":826,"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":[183,647,1111],"clock_positions":[183,647,1111],"native_values":[34,447,447],"rotation_degrees":47.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,447,447],"beta":{"interval_sums":[189533,186642,187055],"interval_residues":[379,792,379],"display_cycle":[379,792,379],"intervals":[{"from_index":183,"to_index":647,"sum":189533,"residue":379},{"from_index":647,"to_index":1111,"sum":186642,"residue":792},{"from_index":1111,"to_index":183,"sum":187055,"residue":379}],"minimal_cycle":[379,792,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[183,647],"circle_positions":826,"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":[184,648,1112],"clock_positions":[184,648,1112],"native_values":[763,350,763],"rotation_degrees":47.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[763,350,763],"beta":{"interval_sums":[189217,186739,186326],"interval_residues":[63,63,476],"display_cycle":[63,63,476],"intervals":[{"from_index":184,"to_index":648,"sum":189217,"residue":63},{"from_index":648,"to_index":1112,"sum":186739,"residue":63},{"from_index":1112,"to_index":184,"sum":186326,"residue":476}],"minimal_cycle":[63,63,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[184,648],"circle_positions":826,"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":[185,649,1113],"clock_positions":[185,649,1113],"native_values":[797,797,384],"rotation_degrees":47.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,797,384],"beta":{"interval_sums":[188770,186705,186705],"interval_residues":[442,29,29],"display_cycle":[442,29,29],"intervals":[{"from_index":185,"to_index":649,"sum":188770,"residue":442},{"from_index":649,"to_index":1113,"sum":186705,"residue":29},{"from_index":1113,"to_index":185,"sum":186705,"residue":29}],"minimal_cycle":[442,29,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[185,649],"circle_positions":826,"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":[186,650,1114],"clock_positions":[186,650,1114],"native_values":[734,321,321],"rotation_degrees":48.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,321,321],"beta":{"interval_sums":[188833,186768,187181],"interval_residues":[505,92,505],"display_cycle":[505,92,505],"intervals":[{"from_index":186,"to_index":650,"sum":188833,"residue":505},{"from_index":650,"to_index":1114,"sum":186768,"residue":92},{"from_index":1114,"to_index":186,"sum":187181,"residue":505}],"minimal_cycle":[505,92,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[186,650],"circle_positions":826,"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":[187,651,1115],"clock_positions":[187,651,1115],"native_values":[705,292,705],"rotation_degrees":48.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,292,705],"beta":{"interval_sums":[188449,186797,187210],"interval_residues":[121,121,534],"display_cycle":[121,121,534],"intervals":[{"from_index":187,"to_index":651,"sum":188449,"residue":121},{"from_index":651,"to_index":1115,"sum":186797,"residue":121},{"from_index":1115,"to_index":187,"sum":187210,"residue":534}],"minimal_cycle":[121,121,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[187,651],"circle_positions":826,"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":[188,652,1116],"clock_positions":[188,652,1116],"native_values":[613,613,200],"rotation_degrees":48.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,613,200],"beta":{"interval_sums":[188128,186889,187715],"interval_residues":[626,213,213],"display_cycle":[626,213,213],"intervals":[{"from_index":188,"to_index":652,"sum":188128,"residue":626},{"from_index":652,"to_index":1116,"sum":186889,"residue":213},{"from_index":1116,"to_index":188,"sum":187715,"residue":213}],"minimal_cycle":[626,213,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[188,652],"circle_positions":826,"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":[189,653,1117],"clock_positions":[189,653,1117],"native_values":[492,79,79],"rotation_degrees":48.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,79,79],"beta":{"interval_sums":[188249,187010,188249],"interval_residues":[747,334,747],"display_cycle":[747,334,747],"intervals":[{"from_index":189,"to_index":653,"sum":188249,"residue":747},{"from_index":653,"to_index":1117,"sum":187010,"residue":334},{"from_index":1117,"to_index":189,"sum":188249,"residue":747}],"minimal_cycle":[747,334,747],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":747,"start_interval_clock_positions":[189,653],"circle_positions":826,"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":[190,654,1118],"clock_positions":[190,654,1118],"native_values":[279,692,279],"rotation_degrees":49.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,692,279],"beta":{"interval_sums":[188049,186397,188462],"interval_residues":[547,547,134],"display_cycle":[547,547,134],"intervals":[{"from_index":190,"to_index":654,"sum":188049,"residue":547},{"from_index":654,"to_index":1118,"sum":186397,"residue":547},{"from_index":1118,"to_index":190,"sum":188462,"residue":134}],"minimal_cycle":[547,547,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":547,"start_interval_clock_positions":[190,654],"circle_positions":826,"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":[191,655,1119],"clock_positions":[191,655,1119],"native_values":[771,771,358],"rotation_degrees":49.39655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,771,358],"beta":{"interval_sums":[187970,185905,188383],"interval_residues":[468,55,55],"display_cycle":[468,55,55],"intervals":[{"from_index":191,"to_index":655,"sum":187970,"residue":468},{"from_index":655,"to_index":1119,"sum":185905,"residue":55},{"from_index":1119,"to_index":191,"sum":188383,"residue":55}],"minimal_cycle":[468,55,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[191,655],"circle_positions":826,"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":[192,656,1120],"clock_positions":[192,656,1120],"native_values":[224,637,637],"rotation_degrees":49.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,637,637],"beta":{"interval_sums":[188517,185626,188517],"interval_residues":[189,602,189],"display_cycle":[189,602,189],"intervals":[{"from_index":192,"to_index":656,"sum":188517,"residue":189},{"from_index":656,"to_index":1120,"sum":185626,"residue":602},{"from_index":1120,"to_index":192,"sum":188517,"residue":189}],"minimal_cycle":[189,602,189],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":189,"start_interval_clock_positions":[192,656],"circle_positions":826,"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":[193,657,1121],"clock_positions":[193,657,1121],"native_values":[169,582,169],"rotation_degrees":49.91379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,582,169],"beta":{"interval_sums":[188985,185681,188572],"interval_residues":[657,657,244],"display_cycle":[657,657,244],"intervals":[{"from_index":193,"to_index":657,"sum":188985,"residue":657},{"from_index":657,"to_index":1121,"sum":185681,"residue":657},{"from_index":1121,"to_index":193,"sum":188572,"residue":244}],"minimal_cycle":[657,657,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[193,657],"circle_positions":826,"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":[194,658,1122],"clock_positions":[194,658,1122],"native_values":[393,393,806],"rotation_degrees":50.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,393,806],"beta":{"interval_sums":[189174,185457,187935],"interval_residues":[20,433,433],"display_cycle":[20,433,433],"intervals":[{"from_index":194,"to_index":658,"sum":189174,"residue":20},{"from_index":658,"to_index":1122,"sum":185457,"residue":433},{"from_index":1122,"to_index":194,"sum":187935,"residue":433}],"minimal_cycle":[20,433,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[194,658],"circle_positions":826,"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":[195,659,1123],"clock_positions":[195,659,1123],"native_values":[562,149,149],"rotation_degrees":50.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,149,149],"beta":{"interval_sums":[189005,186114,188179],"interval_residues":[677,264,677],"display_cycle":[677,264,677],"intervals":[{"from_index":195,"to_index":659,"sum":189005,"residue":677},{"from_index":659,"to_index":1123,"sum":186114,"residue":264},{"from_index":1123,"to_index":195,"sum":188179,"residue":677}],"minimal_cycle":[677,264,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[195,659],"circle_positions":826,"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":[196,660,1124],"clock_positions":[196,660,1124],"native_values":[129,542,129],"rotation_degrees":50.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,542,129],"beta":{"interval_sums":[189025,185721,188612],"interval_residues":[697,697,284],"display_cycle":[697,697,284],"intervals":[{"from_index":196,"to_index":660,"sum":189025,"residue":697},{"from_index":660,"to_index":1124,"sum":185721,"residue":697},{"from_index":1124,"to_index":196,"sum":188612,"residue":284}],"minimal_cycle":[697,697,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":697,"start_interval_clock_positions":[196,660],"circle_positions":826,"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":[197,661,1125],"clock_positions":[197,661,1125],"native_values":[691,691,278],"rotation_degrees":50.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,691,278],"beta":{"interval_sums":[188876,185159,188463],"interval_residues":[548,135,135],"display_cycle":[548,135,135],"intervals":[{"from_index":197,"to_index":661,"sum":188876,"residue":548},{"from_index":661,"to_index":1125,"sum":185159,"residue":135},{"from_index":1125,"to_index":197,"sum":188463,"residue":135}],"minimal_cycle":[548,135,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[197,661],"circle_positions":826,"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":[198,662,1126],"clock_positions":[198,662,1126],"native_values":[820,407,407],"rotation_degrees":51.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[820,407,407],"beta":{"interval_sums":[188747,185030,188747],"interval_residues":[419,6,419],"display_cycle":[419,6,419],"intervals":[{"from_index":198,"to_index":662,"sum":188747,"residue":419},{"from_index":662,"to_index":1126,"sum":185030,"residue":6},{"from_index":1126,"to_index":198,"sum":188747,"residue":419}],"minimal_cycle":[419,6,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[198,662],"circle_positions":826,"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":[199,663,1127],"clock_positions":[199,663,1127],"native_values":[685,272,685],"rotation_degrees":51.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,272,685],"beta":{"interval_sums":[188469,185165,188882],"interval_residues":[141,141,554],"display_cycle":[141,141,554],"intervals":[{"from_index":199,"to_index":663,"sum":188469,"residue":141},{"from_index":663,"to_index":1127,"sum":185165,"residue":141},{"from_index":1127,"to_index":199,"sum":188882,"residue":554}],"minimal_cycle":[141,141,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[199,663],"circle_positions":826,"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":[200,664,1128],"clock_positions":[200,664,1128],"native_values":[679,679,266],"rotation_degrees":51.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,679,266],"beta":{"interval_sums":[188062,185171,189301],"interval_residues":[560,147,147],"display_cycle":[560,147,147],"intervals":[{"from_index":200,"to_index":664,"sum":188062,"residue":560},{"from_index":664,"to_index":1128,"sum":185171,"residue":147},{"from_index":1128,"to_index":200,"sum":189301,"residue":147}],"minimal_cycle":[560,147,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[200,664],"circle_positions":826,"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":[201,665,1129],"clock_positions":[201,665,1129],"native_values":[538,125,125],"rotation_degrees":51.98275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,125,125],"beta":{"interval_sums":[188203,185312,189855],"interval_residues":[701,288,701],"display_cycle":[701,288,701],"intervals":[{"from_index":201,"to_index":665,"sum":188203,"residue":701},{"from_index":665,"to_index":1129,"sum":185312,"residue":288},{"from_index":1129,"to_index":201,"sum":189855,"residue":701}],"minimal_cycle":[701,288,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[201,665],"circle_positions":826,"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":[202,666,1130],"clock_positions":[202,666,1130],"native_values":[391,804,391],"rotation_degrees":52.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,804,391],"beta":{"interval_sums":[187937,184633,190002],"interval_residues":[435,435,22],"display_cycle":[435,435,22],"intervals":[{"from_index":202,"to_index":666,"sum":187937,"residue":435},{"from_index":666,"to_index":1130,"sum":184633,"residue":435},{"from_index":1130,"to_index":202,"sum":190002,"residue":22}],"minimal_cycle":[435,435,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[202,666],"circle_positions":826,"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":[203,667,1131],"clock_positions":[203,667,1131],"native_values":[103,103,516],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,103,516],"beta":{"interval_sums":[188638,184921,189877],"interval_residues":[310,723,723],"display_cycle":[310,723,723],"intervals":[{"from_index":203,"to_index":667,"sum":188638,"residue":310},{"from_index":667,"to_index":1131,"sum":184921,"residue":723},{"from_index":1131,"to_index":203,"sum":189877,"residue":723}],"minimal_cycle":[310,723,723],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[203,667],"circle_positions":826,"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":[204,668,1132],"clock_positions":[204,668,1132],"native_values":[494,81,81],"rotation_degrees":52.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,81,81],"beta":{"interval_sums":[188247,185356,189899],"interval_residues":[745,332,745],"display_cycle":[745,332,745],"intervals":[{"from_index":204,"to_index":668,"sum":188247,"residue":745},{"from_index":668,"to_index":1132,"sum":185356,"residue":332},{"from_index":1132,"to_index":204,"sum":189899,"residue":745}],"minimal_cycle":[745,332,745],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[204,668],"circle_positions":826,"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":[205,669,1133],"clock_positions":[205,669,1133],"native_values":[597,184,597],"rotation_degrees":53.01724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,184,597],"beta":{"interval_sums":[187731,185253,189796],"interval_residues":[229,229,642],"display_cycle":[229,229,642],"intervals":[{"from_index":205,"to_index":669,"sum":187731,"residue":229},{"from_index":669,"to_index":1133,"sum":185253,"residue":229},{"from_index":1133,"to_index":205,"sum":189796,"residue":642}],"minimal_cycle":[229,229,642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[205,669],"circle_positions":826,"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":[206,670,1134],"clock_positions":[206,670,1134],"native_values":[265,265,678],"rotation_degrees":53.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,265,678],"beta":{"interval_sums":[187650,185585,189715],"interval_residues":[148,561,561],"display_cycle":[148,561,561],"intervals":[{"from_index":206,"to_index":670,"sum":187650,"residue":148},{"from_index":670,"to_index":1134,"sum":185585,"residue":561},{"from_index":1134,"to_index":206,"sum":189715,"residue":561}],"minimal_cycle":[148,561,561],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[206,670],"circle_positions":826,"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":[207,671,1135],"clock_positions":[207,671,1135],"native_values":[36,449,449],"rotation_degrees":53.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,449,449],"beta":{"interval_sums":[187879,185814,189531],"interval_residues":[377,790,377],"display_cycle":[377,790,377],"intervals":[{"from_index":207,"to_index":671,"sum":187879,"residue":377},{"from_index":671,"to_index":1135,"sum":185814,"residue":790},{"from_index":1135,"to_index":207,"sum":189531,"residue":377}],"minimal_cycle":[377,790,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[207,671],"circle_positions":826,"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":[208,672,1136],"clock_positions":[208,672,1136],"native_values":[301,714,301],"rotation_degrees":53.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,714,301],"beta":{"interval_sums":[188027,185549,189266],"interval_residues":[525,525,112],"display_cycle":[525,525,112],"intervals":[{"from_index":208,"to_index":672,"sum":188027,"residue":525},{"from_index":672,"to_index":1136,"sum":185549,"residue":525},{"from_index":1136,"to_index":208,"sum":189266,"residue":112}],"minimal_cycle":[525,525,112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[208,672],"circle_positions":826,"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":[209,673,1137],"clock_positions":[209,673,1137],"native_values":[337,337,750],"rotation_degrees":54.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,750],"beta":{"interval_sums":[188404,185513,188817],"interval_residues":[76,489,489],"display_cycle":[76,489,489],"intervals":[{"from_index":209,"to_index":673,"sum":188404,"residue":76},{"from_index":673,"to_index":1137,"sum":185513,"residue":489},{"from_index":1137,"to_index":209,"sum":188817,"residue":489}],"minimal_cycle":[76,489,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[209,673],"circle_positions":826,"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":[210,674,1138],"clock_positions":[210,674,1138],"native_values":[638,225,225],"rotation_degrees":54.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,225,225],"beta":{"interval_sums":[188103,186038,188929],"interval_residues":[601,188,601],"display_cycle":[601,188,601],"intervals":[{"from_index":210,"to_index":674,"sum":188103,"residue":601},{"from_index":674,"to_index":1138,"sum":186038,"residue":188},{"from_index":1138,"to_index":210,"sum":188929,"residue":601}],"minimal_cycle":[601,188,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[210,674],"circle_positions":826,"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":[211,675,1139],"clock_positions":[211,675,1139],"native_values":[149,562,149],"rotation_degrees":54.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,562,149],"beta":{"interval_sums":[188179,185701,189418],"interval_residues":[677,677,264],"display_cycle":[677,677,264],"intervals":[{"from_index":211,"to_index":675,"sum":188179,"residue":677},{"from_index":675,"to_index":1139,"sum":185701,"residue":677},{"from_index":1139,"to_index":211,"sum":189418,"residue":264}],"minimal_cycle":[677,677,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[211,675],"circle_positions":826,"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":[212,676,1140],"clock_positions":[212,676,1140],"native_values":[787,787,374],"rotation_degrees":54.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[787,787,374],"beta":{"interval_sums":[187954,185063,189193],"interval_residues":[452,39,39],"display_cycle":[452,39,39],"intervals":[{"from_index":212,"to_index":676,"sum":187954,"residue":452},{"from_index":676,"to_index":1140,"sum":185063,"residue":39},{"from_index":1140,"to_index":212,"sum":189193,"residue":39}],"minimal_cycle":[452,39,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[212,676],"circle_positions":826,"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":[213,677,1141],"clock_positions":[213,677,1141],"native_values":[110,523,523],"rotation_degrees":55.08620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,523,523],"beta":{"interval_sums":[188631,184914,189457],"interval_residues":[303,716,303],"display_cycle":[303,716,303],"intervals":[{"from_index":213,"to_index":677,"sum":188631,"residue":303},{"from_index":677,"to_index":1141,"sum":184914,"residue":716},{"from_index":1141,"to_index":213,"sum":189457,"residue":303}],"minimal_cycle":[303,716,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[213,677],"circle_positions":826,"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":[214,678,1142],"clock_positions":[214,678,1142],"native_values":[71,484,71],"rotation_degrees":55.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,484,71],"beta":{"interval_sums":[189083,184953,189496],"interval_residues":[755,755,342],"display_cycle":[755,755,342],"intervals":[{"from_index":214,"to_index":678,"sum":189083,"residue":755},{"from_index":678,"to_index":1142,"sum":184953,"residue":755},{"from_index":1142,"to_index":214,"sum":189496,"residue":342}],"minimal_cycle":[755,755,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":755,"start_interval_clock_positions":[214,678],"circle_positions":826,"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":[215,679,1143],"clock_positions":[215,679,1143],"native_values":[181,181,594],"rotation_degrees":55.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,181,594],"beta":{"interval_sums":[189386,184843,188973],"interval_residues":[232,645,645],"display_cycle":[232,645,645],"intervals":[{"from_index":215,"to_index":679,"sum":189386,"residue":232},{"from_index":679,"to_index":1143,"sum":184843,"residue":645},{"from_index":1143,"to_index":215,"sum":188973,"residue":645}],"minimal_cycle":[232,645,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[215,679],"circle_positions":826,"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":[216,680,1144],"clock_positions":[216,680,1144],"native_values":[252,665,665],"rotation_degrees":55.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,665,665],"beta":{"interval_sums":[189315,184772,188489],"interval_residues":[161,574,161],"display_cycle":[161,574,161],"intervals":[{"from_index":216,"to_index":680,"sum":189315,"residue":161},{"from_index":680,"to_index":1144,"sum":184772,"residue":574},{"from_index":1144,"to_index":216,"sum":188489,"residue":161}],"minimal_cycle":[161,574,161],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":161,"start_interval_clock_positions":[216,680],"circle_positions":826,"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":[217,681,1145],"clock_positions":[217,681,1145],"native_values":[433,20,433],"rotation_degrees":56.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,20,433],"beta":{"interval_sums":[189547,185417,188308],"interval_residues":[393,393,806],"display_cycle":[393,393,806],"intervals":[{"from_index":217,"to_index":681,"sum":189547,"residue":393},{"from_index":681,"to_index":1145,"sum":185417,"residue":393},{"from_index":1145,"to_index":217,"sum":188308,"residue":806}],"minimal_cycle":[393,393,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[217,681],"circle_positions":826,"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":[218,682,1146],"clock_positions":[218,682,1146],"native_values":[685,685,272],"rotation_degrees":56.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,685,272],"beta":{"interval_sums":[188882,185165,188469],"interval_residues":[554,141,141],"display_cycle":[554,141,141],"intervals":[{"from_index":218,"to_index":682,"sum":188882,"residue":554},{"from_index":682,"to_index":1146,"sum":185165,"residue":141},{"from_index":1146,"to_index":218,"sum":188469,"residue":141}],"minimal_cycle":[554,141,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[218,682],"circle_positions":826,"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":[219,683,1147],"clock_positions":[219,683,1147],"native_values":[292,705,705],"rotation_degrees":56.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,705,705],"beta":{"interval_sums":[189275,184732,188449],"interval_residues":[121,534,121],"display_cycle":[121,534,121],"intervals":[{"from_index":219,"to_index":683,"sum":189275,"residue":121},{"from_index":683,"to_index":1147,"sum":184732,"residue":534},{"from_index":1147,"to_index":219,"sum":188449,"residue":121}],"minimal_cycle":[121,534,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[219,683],"circle_positions":826,"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":[220,684,1148],"clock_positions":[220,684,1148],"native_values":[151,564,151],"rotation_degrees":56.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,564,151],"beta":{"interval_sums":[189829,184873,188590],"interval_residues":[675,675,262],"display_cycle":[675,675,262],"intervals":[{"from_index":220,"to_index":684,"sum":189829,"residue":675},{"from_index":684,"to_index":1148,"sum":184873,"residue":675},{"from_index":1148,"to_index":220,"sum":188590,"residue":262}],"minimal_cycle":[675,675,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[220,684],"circle_positions":826,"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":[221,685,1149],"clock_positions":[221,685,1149],"native_values":[443,443,30],"rotation_degrees":57.1551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,443,30],"beta":{"interval_sums":[189950,184581,188711],"interval_residues":[796,383,383],"display_cycle":[796,383,383],"intervals":[{"from_index":221,"to_index":685,"sum":189950,"residue":796},{"from_index":685,"to_index":1149,"sum":184581,"residue":383},{"from_index":1149,"to_index":221,"sum":188711,"residue":383}],"minimal_cycle":[796,383,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[221,685],"circle_positions":826,"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":[222,686,1150],"clock_positions":[222,686,1150],"native_values":[594,181,181],"rotation_degrees":57.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,181,181],"beta":{"interval_sums":[189799,184430,188973],"interval_residues":[645,232,645],"display_cycle":[645,232,645],"intervals":[{"from_index":222,"to_index":686,"sum":189799,"residue":645},{"from_index":686,"to_index":1150,"sum":184430,"residue":232},{"from_index":1150,"to_index":222,"sum":188973,"residue":645}],"minimal_cycle":[645,232,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[222,686],"circle_positions":826,"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":[223,687,1151],"clock_positions":[223,687,1151],"native_values":[211,624,211],"rotation_degrees":57.672413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,624,211],"beta":{"interval_sums":[189769,183987,189356],"interval_residues":[615,615,202],"display_cycle":[615,615,202],"intervals":[{"from_index":223,"to_index":687,"sum":189769,"residue":615},{"from_index":687,"to_index":1151,"sum":183987,"residue":615},{"from_index":1151,"to_index":223,"sum":189356,"residue":202}],"minimal_cycle":[615,615,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[223,687],"circle_positions":826,"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":[224,688,1152],"clock_positions":[224,688,1152],"native_values":[805,805,392],"rotation_degrees":57.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,805,392],"beta":{"interval_sums":[189588,183393,189175],"interval_residues":[434,21,21],"display_cycle":[434,21,21],"intervals":[{"from_index":224,"to_index":688,"sum":189588,"residue":434},{"from_index":688,"to_index":1152,"sum":183393,"residue":21},{"from_index":1152,"to_index":224,"sum":189175,"residue":21}],"minimal_cycle":[434,21,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[224,688],"circle_positions":826,"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":[225,689,1153],"clock_positions":[225,689,1153],"native_values":[190,603,603],"rotation_degrees":58.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,603,603],"beta":{"interval_sums":[190203,183182,189377],"interval_residues":[223,636,223],"display_cycle":[223,636,223],"intervals":[{"from_index":225,"to_index":689,"sum":190203,"residue":223},{"from_index":689,"to_index":1153,"sum":183182,"residue":636},{"from_index":1153,"to_index":225,"sum":189377,"residue":223}],"minimal_cycle":[223,636,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[225,689],"circle_positions":826,"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":[226,690,1154],"clock_positions":[226,690,1154],"native_values":[169,582,169],"rotation_degrees":58.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,582,169],"beta":{"interval_sums":[190637,183203,189398],"interval_residues":[657,657,244],"display_cycle":[657,657,244],"intervals":[{"from_index":226,"to_index":690,"sum":190637,"residue":657},{"from_index":690,"to_index":1154,"sum":183203,"residue":657},{"from_index":1154,"to_index":226,"sum":189398,"residue":244}],"minimal_cycle":[657,657,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[226,690],"circle_positions":826,"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":[227,691,1155],"clock_positions":[227,691,1155],"native_values":[359,359,772],"rotation_degrees":58.706896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,359,772],"beta":{"interval_sums":[190860,183013,188795],"interval_residues":[54,467,467],"display_cycle":[54,467,467],"intervals":[{"from_index":227,"to_index":691,"sum":190860,"residue":54},{"from_index":691,"to_index":1155,"sum":183013,"residue":467},{"from_index":1155,"to_index":227,"sum":188795,"residue":467}],"minimal_cycle":[54,467,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[227,691],"circle_positions":826,"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":[228,692,1156],"clock_positions":[228,692,1156],"native_values":[528,115,115],"rotation_degrees":58.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,115,115],"beta":{"interval_sums":[190691,183670,189039],"interval_residues":[711,298,711],"display_cycle":[711,298,711],"intervals":[{"from_index":228,"to_index":692,"sum":190691,"residue":711},{"from_index":692,"to_index":1156,"sum":183670,"residue":298},{"from_index":1156,"to_index":228,"sum":189039,"residue":711}],"minimal_cycle":[711,298,711],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[228,692],"circle_positions":826,"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":[229,693,1157],"clock_positions":[229,693,1157],"native_values":[61,474,61],"rotation_degrees":59.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,474,61],"beta":{"interval_sums":[190745,183311,189506],"interval_residues":[765,765,352],"display_cycle":[765,765,352],"intervals":[{"from_index":229,"to_index":693,"sum":190745,"residue":765},{"from_index":693,"to_index":1157,"sum":183311,"residue":765},{"from_index":1157,"to_index":229,"sum":189506,"residue":352}],"minimal_cycle":[765,765,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":765,"start_interval_clock_positions":[229,693],"circle_positions":826,"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":[230,694,1158],"clock_positions":[230,694,1158],"native_values":[589,589,176],"rotation_degrees":59.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,589,176],"beta":{"interval_sums":[190630,182783,189391],"interval_residues":[650,237,237],"display_cycle":[650,237,237],"intervals":[{"from_index":230,"to_index":694,"sum":190630,"residue":650},{"from_index":694,"to_index":1158,"sum":182783,"residue":237},{"from_index":1158,"to_index":230,"sum":189391,"residue":237}],"minimal_cycle":[650,237,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[230,694],"circle_positions":826,"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":[231,695,1159],"clock_positions":[231,695,1159],"native_values":[650,237,237],"rotation_degrees":59.741379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,237,237],"beta":{"interval_sums":[190569,182722,189743],"interval_residues":[589,176,589],"display_cycle":[589,176,589],"intervals":[{"from_index":231,"to_index":695,"sum":190569,"residue":589},{"from_index":695,"to_index":1159,"sum":182722,"residue":176},{"from_index":1159,"to_index":231,"sum":189743,"residue":589}],"minimal_cycle":[589,176,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[231,695],"circle_positions":826,"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":[232,696,1160],"clock_positions":[232,696,1160],"native_values":[413,826,413],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,826,413],"beta":{"interval_sums":[190393,182959,189980],"interval_residues":[413,413,0],"display_cycle":[413,413,826],"intervals":[{"from_index":232,"to_index":696,"sum":190393,"residue":413},{"from_index":696,"to_index":1160,"sum":182959,"residue":413},{"from_index":1160,"to_index":232,"sum":189980,"residue":0}],"minimal_cycle":[413,413,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[232,696],"circle_positions":826,"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":[233,697,1161],"clock_positions":[233,697,1161],"native_values":[237,237,650],"rotation_degrees":60.258620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,237,650],"beta":{"interval_sums":[190156,183135,189743],"interval_residues":[176,589,589],"display_cycle":[176,589,589],"intervals":[{"from_index":233,"to_index":697,"sum":190156,"residue":176},{"from_index":697,"to_index":1161,"sum":183135,"residue":589},{"from_index":1161,"to_index":233,"sum":189743,"residue":589}],"minimal_cycle":[176,589,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[233,697],"circle_positions":826,"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":[234,698,1162],"clock_positions":[234,698,1162],"native_values":[650,237,237],"rotation_degrees":60.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,237,237],"beta":{"interval_sums":[189743,183548,189743],"interval_residues":[589,176,589],"display_cycle":[589,176,589],"intervals":[{"from_index":234,"to_index":698,"sum":189743,"residue":589},{"from_index":698,"to_index":1162,"sum":183548,"residue":176},{"from_index":1162,"to_index":234,"sum":189743,"residue":589}],"minimal_cycle":[589,176,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[234,698],"circle_positions":826,"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":[235,699,1163],"clock_positions":[235,699,1163],"native_values":[61,474,61],"rotation_degrees":60.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,474,61],"beta":{"interval_sums":[189919,183311,190332],"interval_residues":[765,765,352],"display_cycle":[765,765,352],"intervals":[{"from_index":235,"to_index":699,"sum":189919,"residue":765},{"from_index":699,"to_index":1163,"sum":183311,"residue":765},{"from_index":1163,"to_index":235,"sum":190332,"residue":352}],"minimal_cycle":[765,765,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":765,"start_interval_clock_positions":[235,699],"circle_positions":826,"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":[236,700,1164],"clock_positions":[236,700,1164],"native_values":[711,711,298],"rotation_degrees":61.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,711,298],"beta":{"interval_sums":[189682,182661,190095],"interval_residues":[528,115,115],"display_cycle":[528,115,115],"intervals":[{"from_index":236,"to_index":700,"sum":189682,"residue":528},{"from_index":700,"to_index":1164,"sum":182661,"residue":115},{"from_index":1164,"to_index":236,"sum":190095,"residue":115}],"minimal_cycle":[528,115,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[236,700],"circle_positions":826,"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":[237,701,1165],"clock_positions":[237,701,1165],"native_values":[772,359,359],"rotation_degrees":61.293103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[772,359,359],"beta":{"interval_sums":[189621,182600,190447],"interval_residues":[467,54,467],"display_cycle":[467,54,467],"intervals":[{"from_index":237,"to_index":701,"sum":189621,"residue":467},{"from_index":701,"to_index":1165,"sum":182600,"residue":54},{"from_index":1165,"to_index":237,"sum":190447,"residue":467}],"minimal_cycle":[467,54,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[237,701],"circle_positions":826,"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":[238,702,1166],"clock_positions":[238,702,1166],"native_values":[657,244,657],"rotation_degrees":61.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,244,657],"beta":{"interval_sums":[189323,182715,190562],"interval_residues":[169,169,582],"display_cycle":[169,169,582],"intervals":[{"from_index":238,"to_index":702,"sum":189323,"residue":169},{"from_index":702,"to_index":1166,"sum":182715,"residue":169},{"from_index":1166,"to_index":238,"sum":190562,"residue":582}],"minimal_cycle":[169,169,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[238,702],"circle_positions":826,"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":[239,703,1167],"clock_positions":[239,703,1167],"native_values":[603,603,190],"rotation_degrees":61.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,603,190],"beta":{"interval_sums":[188964,182769,191029],"interval_residues":[636,223,223],"display_cycle":[636,223,223],"intervals":[{"from_index":239,"to_index":703,"sum":188964,"residue":636},{"from_index":703,"to_index":1167,"sum":182769,"residue":223},{"from_index":1167,"to_index":239,"sum":191029,"residue":223}],"minimal_cycle":[636,223,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[239,703],"circle_positions":826,"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":[240,704,1168],"clock_positions":[240,704,1168],"native_values":[434,21,21],"rotation_degrees":62.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,21,21],"beta":{"interval_sums":[189133,182938,191611],"interval_residues":[805,392,805],"display_cycle":[805,392,805],"intervals":[{"from_index":240,"to_index":704,"sum":189133,"residue":805},{"from_index":704,"to_index":1168,"sum":182938,"residue":392},{"from_index":1168,"to_index":240,"sum":191611,"residue":805}],"minimal_cycle":[805,392,805],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":805,"start_interval_clock_positions":[240,704],"circle_positions":826,"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":[241,705,1169],"clock_positions":[241,705,1169],"native_values":[211,624,211],"rotation_degrees":62.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,624,211],"beta":{"interval_sums":[188943,182335,191834],"interval_residues":[615,615,202],"display_cycle":[615,615,202],"intervals":[{"from_index":241,"to_index":705,"sum":188943,"residue":615},{"from_index":705,"to_index":1169,"sum":182335,"residue":615},{"from_index":1169,"to_index":241,"sum":191834,"residue":202}],"minimal_cycle":[615,615,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[241,705],"circle_positions":826,"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":[242,706,1170],"clock_positions":[242,706,1170],"native_values":[645,645,232],"rotation_degrees":62.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,645,232],"beta":{"interval_sums":[188922,181901,191813],"interval_residues":[594,181,181],"display_cycle":[594,181,181],"intervals":[{"from_index":242,"to_index":706,"sum":188922,"residue":594},{"from_index":706,"to_index":1170,"sum":181901,"residue":181},{"from_index":1170,"to_index":242,"sum":191813,"residue":181}],"minimal_cycle":[594,181,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[242,706],"circle_positions":826,"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":[243,707,1171],"clock_positions":[243,707,1171],"native_values":[30,443,443],"rotation_degrees":62.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,443,443],"beta":{"interval_sums":[189537,181690,192015],"interval_residues":[383,796,383],"display_cycle":[383,796,383],"intervals":[{"from_index":243,"to_index":707,"sum":189537,"residue":383},{"from_index":707,"to_index":1171,"sum":181690,"residue":796},{"from_index":1171,"to_index":243,"sum":192015,"residue":383}],"minimal_cycle":[383,796,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[243,707],"circle_positions":826,"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":[244,708,1172],"clock_positions":[244,708,1172],"native_values":[675,262,675],"rotation_degrees":63.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,262,675],"beta":{"interval_sums":[189305,181871,191370],"interval_residues":[151,151,564],"display_cycle":[151,151,564],"intervals":[{"from_index":244,"to_index":708,"sum":189305,"residue":151},{"from_index":708,"to_index":1172,"sum":181871,"residue":151},{"from_index":1172,"to_index":244,"sum":191370,"residue":564}],"minimal_cycle":[151,151,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[244,708],"circle_positions":826,"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":[245,709,1173],"clock_positions":[245,709,1173],"native_values":[705,705,292],"rotation_degrees":63.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,705,292],"beta":{"interval_sums":[188862,181841,191753],"interval_residues":[534,121,121],"display_cycle":[534,121,121],"intervals":[{"from_index":245,"to_index":709,"sum":188862,"residue":534},{"from_index":709,"to_index":1173,"sum":181841,"residue":121},{"from_index":1173,"to_index":245,"sum":191753,"residue":121}],"minimal_cycle":[534,121,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[245,709],"circle_positions":826,"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":[246,710,1174],"clock_positions":[246,710,1174],"native_values":[554,141,141],"rotation_degrees":63.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[554,141,141],"beta":{"interval_sums":[189013,181992,192317],"interval_residues":[685,272,685],"display_cycle":[685,272,685],"intervals":[{"from_index":246,"to_index":710,"sum":189013,"residue":685},{"from_index":710,"to_index":1174,"sum":181992,"residue":272},{"from_index":1174,"to_index":246,"sum":192317,"residue":685}],"minimal_cycle":[685,272,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":685,"start_interval_clock_positions":[246,710],"circle_positions":826,"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":[247,711,1175],"clock_positions":[247,711,1175],"native_values":[433,20,433],"rotation_degrees":63.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,20,433],"beta":{"interval_sums":[188721,182113,192438],"interval_residues":[393,393,806],"display_cycle":[393,393,806],"intervals":[{"from_index":247,"to_index":711,"sum":188721,"residue":393},{"from_index":711,"to_index":1175,"sum":182113,"residue":393},{"from_index":1175,"to_index":247,"sum":192438,"residue":806}],"minimal_cycle":[393,393,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[247,711],"circle_positions":826,"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":[248,712,1176],"clock_positions":[248,712,1176],"native_values":[161,161,574],"rotation_degrees":64.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,161,574],"beta":{"interval_sums":[188580,182385,192297],"interval_residues":[252,665,665],"display_cycle":[252,665,665],"intervals":[{"from_index":248,"to_index":712,"sum":188580,"residue":252},{"from_index":712,"to_index":1176,"sum":182385,"residue":665},{"from_index":1176,"to_index":248,"sum":192297,"residue":665}],"minimal_cycle":[252,665,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[248,712],"circle_positions":826,"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":[249,713,1177],"clock_positions":[249,713,1177],"native_values":[594,181,181],"rotation_degrees":64.39655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,181,181],"beta":{"interval_sums":[188147,182778,192277],"interval_residues":[645,232,645],"display_cycle":[645,232,645],"intervals":[{"from_index":249,"to_index":713,"sum":188147,"residue":645},{"from_index":713,"to_index":1177,"sum":182778,"residue":232},{"from_index":1177,"to_index":249,"sum":192277,"residue":645}],"minimal_cycle":[645,232,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[249,713],"circle_positions":826,"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":[250,714,1178],"clock_positions":[250,714,1178],"native_values":[755,342,755],"rotation_degrees":64.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[755,342,755],"beta":{"interval_sums":[187573,182617,192116],"interval_residues":[71,71,484],"display_cycle":[71,71,484],"intervals":[{"from_index":250,"to_index":714,"sum":187573,"residue":71},{"from_index":714,"to_index":1178,"sum":182617,"residue":71},{"from_index":1178,"to_index":250,"sum":192116,"residue":484}],"minimal_cycle":[71,71,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[250,714],"circle_positions":826,"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":[251,715,1179],"clock_positions":[251,715,1179],"native_values":[523,523,110],"rotation_degrees":64.91379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,523,110],"beta":{"interval_sums":[187392,182849,192761],"interval_residues":[716,303,303],"display_cycle":[716,303,303],"intervals":[{"from_index":251,"to_index":715,"sum":187392,"residue":716},{"from_index":715,"to_index":1179,"sum":182849,"residue":303},{"from_index":1179,"to_index":251,"sum":192761,"residue":303}],"minimal_cycle":[716,303,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[251,715],"circle_positions":826,"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":[252,716,1180],"clock_positions":[252,716,1180],"native_values":[452,39,39],"rotation_degrees":65.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,39,39],"beta":{"interval_sums":[187463,182920,193245],"interval_residues":[787,374,787],"display_cycle":[787,374,787],"intervals":[{"from_index":252,"to_index":716,"sum":187463,"residue":787},{"from_index":716,"to_index":1180,"sum":182920,"residue":374},{"from_index":1180,"to_index":252,"sum":193245,"residue":787}],"minimal_cycle":[787,374,787],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":787,"start_interval_clock_positions":[252,716],"circle_positions":826,"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":[253,717,1181],"clock_positions":[253,717,1181],"native_values":[149,562,149],"rotation_degrees":65.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,562,149],"beta":{"interval_sums":[187353,182397,193548],"interval_residues":[677,677,264],"display_cycle":[677,677,264],"intervals":[{"from_index":253,"to_index":717,"sum":187353,"residue":677},{"from_index":717,"to_index":1181,"sum":182397,"residue":677},{"from_index":1181,"to_index":253,"sum":193548,"residue":264}],"minimal_cycle":[677,677,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[253,717],"circle_positions":826,"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":[254,718,1182],"clock_positions":[254,718,1182],"native_values":[601,601,188],"rotation_degrees":65.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,601,188],"beta":{"interval_sums":[187314,181945,193509],"interval_residues":[638,225,225],"display_cycle":[638,225,225],"intervals":[{"from_index":254,"to_index":718,"sum":187314,"residue":638},{"from_index":718,"to_index":1182,"sum":181945,"residue":225},{"from_index":1182,"to_index":254,"sum":193509,"residue":225}],"minimal_cycle":[638,225,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[254,718],"circle_positions":826,"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":[255,719,1183],"clock_positions":[255,719,1183],"native_values":[750,337,337],"rotation_degrees":65.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,337,337],"beta":{"interval_sums":[187165,181796,193773],"interval_residues":[489,76,489],"display_cycle":[489,76,489],"intervals":[{"from_index":255,"to_index":719,"sum":187165,"residue":489},{"from_index":719,"to_index":1183,"sum":181796,"residue":76},{"from_index":1183,"to_index":255,"sum":193773,"residue":489}],"minimal_cycle":[489,76,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[255,719],"circle_positions":826,"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":[256,720,1184],"clock_positions":[256,720,1184],"native_values":[525,112,525],"rotation_degrees":66.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,112,525],"beta":{"interval_sums":[186977,182021,193998],"interval_residues":[301,301,714],"display_cycle":[301,301,714],"intervals":[{"from_index":256,"to_index":720,"sum":186977,"residue":301},{"from_index":720,"to_index":1184,"sum":182021,"residue":301},{"from_index":1184,"to_index":256,"sum":193998,"residue":714}],"minimal_cycle":[301,301,714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[256,720],"circle_positions":826,"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":[257,721,1185],"clock_positions":[257,721,1185],"native_values":[449,449,36],"rotation_degrees":66.46551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,449,36],"beta":{"interval_sums":[186640,182097,194487],"interval_residues":[790,377,377],"display_cycle":[790,377,377],"intervals":[{"from_index":257,"to_index":721,"sum":186640,"residue":790},{"from_index":721,"to_index":1185,"sum":182097,"residue":377},{"from_index":1185,"to_index":257,"sum":194487,"residue":377}],"minimal_cycle":[790,377,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[257,721],"circle_positions":826,"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":[258,722,1186],"clock_positions":[258,722,1186],"native_values":[148,561,561],"rotation_degrees":66.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,561,561],"beta":{"interval_sums":[186941,181572,194375],"interval_residues":[265,678,265],"display_cycle":[265,678,265],"intervals":[{"from_index":258,"to_index":722,"sum":186941,"residue":265},{"from_index":722,"to_index":1186,"sum":181572,"residue":678},{"from_index":1186,"to_index":258,"sum":194375,"residue":265}],"minimal_cycle":[265,678,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[258,722],"circle_positions":826,"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":[259,723,1187],"clock_positions":[259,723,1187],"native_values":[597,184,597],"rotation_degrees":66.98275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,184,597],"beta":{"interval_sums":[186905,181949,193926],"interval_residues":[229,229,642],"display_cycle":[229,229,642],"intervals":[{"from_index":259,"to_index":723,"sum":186905,"residue":229},{"from_index":723,"to_index":1187,"sum":181949,"residue":229},{"from_index":1187,"to_index":259,"sum":193926,"residue":642}],"minimal_cycle":[229,229,642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[259,723],"circle_positions":826,"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":[260,724,1188],"clock_positions":[260,724,1188],"native_values":[745,745,332],"rotation_degrees":67.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[745,745,332],"beta":{"interval_sums":[186344,181801,194191],"interval_residues":[494,81,81],"display_cycle":[494,81,81],"intervals":[{"from_index":260,"to_index":724,"sum":186344,"residue":494},{"from_index":724,"to_index":1188,"sum":181801,"residue":81},{"from_index":1188,"to_index":260,"sum":194191,"residue":81}],"minimal_cycle":[494,81,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[260,724],"circle_positions":826,"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":[261,725,1189],"clock_positions":[261,725,1189],"native_values":[516,103,103],"rotation_degrees":67.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[516,103,103],"beta":{"interval_sums":[186573,182030,194833],"interval_residues":[723,310,723],"display_cycle":[723,310,723],"intervals":[{"from_index":261,"to_index":725,"sum":186573,"residue":723},{"from_index":725,"to_index":1189,"sum":182030,"residue":310},{"from_index":1189,"to_index":261,"sum":194833,"residue":723}],"minimal_cycle":[723,310,723],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":723,"start_interval_clock_positions":[261,725],"circle_positions":826,"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":[262,726,1190],"clock_positions":[262,726,1190],"native_values":[435,22,435],"rotation_degrees":67.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,22,435],"beta":{"interval_sums":[186241,182111,194914],"interval_residues":[391,391,804],"display_cycle":[391,391,804],"intervals":[{"from_index":262,"to_index":726,"sum":186241,"residue":391},{"from_index":726,"to_index":1190,"sum":182111,"residue":391},{"from_index":1190,"to_index":262,"sum":194914,"residue":804}],"minimal_cycle":[391,391,804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[262,726],"circle_positions":826,"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":[263,727,1191],"clock_positions":[263,727,1191],"native_values":[125,125,538],"rotation_degrees":68.01724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,125,538],"beta":{"interval_sums":[186138,182421,194811],"interval_residues":[288,701,701],"display_cycle":[288,701,701],"intervals":[{"from_index":263,"to_index":727,"sum":186138,"residue":288},{"from_index":727,"to_index":1191,"sum":182421,"residue":701},{"from_index":1191,"to_index":263,"sum":194811,"residue":701}],"minimal_cycle":[288,701,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[263,727],"circle_positions":826,"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":[264,728,1192],"clock_positions":[264,728,1192],"native_values":[560,147,147],"rotation_degrees":68.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,147,147],"beta":{"interval_sums":[185703,182812,194789],"interval_residues":[679,266,679],"display_cycle":[679,266,679],"intervals":[{"from_index":264,"to_index":728,"sum":185703,"residue":679},{"from_index":728,"to_index":1192,"sum":182812,"residue":266},{"from_index":1192,"to_index":264,"sum":194789,"residue":679}],"minimal_cycle":[679,266,679],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":679,"start_interval_clock_positions":[264,728],"circle_positions":826,"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":[265,729,1193],"clock_positions":[265,729,1193],"native_values":[685,272,685],"rotation_degrees":68.53448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,272,685],"beta":{"interval_sums":[185165,182687,194664],"interval_residues":[141,141,554],"display_cycle":[141,141,554],"intervals":[{"from_index":265,"to_index":729,"sum":185165,"residue":141},{"from_index":729,"to_index":1193,"sum":182687,"residue":141},{"from_index":1193,"to_index":265,"sum":194664,"residue":554}],"minimal_cycle":[141,141,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[265,729],"circle_positions":826,"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":[266,730,1194],"clock_positions":[266,730,1194],"native_values":[419,419,6],"rotation_degrees":68.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,419,6],"beta":{"interval_sums":[185018,182953,195343],"interval_residues":[820,407,407],"display_cycle":[820,407,407],"intervals":[{"from_index":266,"to_index":730,"sum":185018,"residue":820},{"from_index":730,"to_index":1194,"sum":182953,"residue":407},{"from_index":1194,"to_index":266,"sum":195343,"residue":407}],"minimal_cycle":[820,407,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[266,730],"circle_positions":826,"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":[267,731,1195],"clock_positions":[267,731,1195],"native_values":[278,691,691],"rotation_degrees":69.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,691,691],"beta":{"interval_sums":[185159,182268,195071],"interval_residues":[135,548,135],"display_cycle":[135,548,135],"intervals":[{"from_index":267,"to_index":731,"sum":185159,"residue":135},{"from_index":731,"to_index":1195,"sum":182268,"residue":548},{"from_index":1195,"to_index":267,"sum":195071,"residue":135}],"minimal_cycle":[135,548,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[267,731],"circle_positions":826,"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":[268,732,1196],"clock_positions":[268,732,1196],"native_values":[697,284,697],"rotation_degrees":69.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,284,697],"beta":{"interval_sums":[185153,182675,194652],"interval_residues":[129,129,542],"display_cycle":[129,129,542],"intervals":[{"from_index":268,"to_index":732,"sum":185153,"residue":129},{"from_index":732,"to_index":1196,"sum":182675,"residue":129},{"from_index":1196,"to_index":268,"sum":194652,"residue":542}],"minimal_cycle":[129,129,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[268,732],"circle_positions":826,"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":[269,733,1197],"clock_positions":[269,733,1197],"native_values":[149,149,562],"rotation_degrees":69.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,149,562],"beta":{"interval_sums":[185288,183223,194787],"interval_residues":[264,677,677],"display_cycle":[264,677,677],"intervals":[{"from_index":269,"to_index":733,"sum":185288,"residue":264},{"from_index":733,"to_index":1197,"sum":183223,"residue":677},{"from_index":1197,"to_index":269,"sum":194787,"residue":677}],"minimal_cycle":[264,677,677],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[269,733],"circle_positions":826,"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":[270,734,1198],"clock_positions":[270,734,1198],"native_values":[20,433,433],"rotation_degrees":69.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[20,433,433],"beta":{"interval_sums":[185417,183352,194503],"interval_residues":[393,806,393],"display_cycle":[393,806,393],"intervals":[{"from_index":270,"to_index":734,"sum":185417,"residue":393},{"from_index":734,"to_index":1198,"sum":183352,"residue":806},{"from_index":1198,"to_index":270,"sum":194503,"residue":393}],"minimal_cycle":[393,806,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[270,734],"circle_positions":826,"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":[271,735,1199],"clock_positions":[271,735,1199],"native_values":[169,582,169],"rotation_degrees":70.08620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,582,169],"beta":{"interval_sums":[185681,183203,194354],"interval_residues":[657,657,244],"display_cycle":[657,657,244],"intervals":[{"from_index":271,"to_index":735,"sum":185681,"residue":657},{"from_index":735,"to_index":1199,"sum":183203,"residue":657},{"from_index":1199,"to_index":271,"sum":194354,"residue":244}],"minimal_cycle":[657,657,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[271,735],"circle_positions":826,"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":[272,736,1200],"clock_positions":[272,736,1200],"native_values":[189,189,602],"rotation_degrees":70.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,189,602],"beta":{"interval_sums":[186074,183183,193921],"interval_residues":[224,637,637],"display_cycle":[224,637,637],"intervals":[{"from_index":272,"to_index":736,"sum":186074,"residue":224},{"from_index":736,"to_index":1200,"sum":183183,"residue":637},{"from_index":1200,"to_index":272,"sum":193921,"residue":637}],"minimal_cycle":[224,637,637],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[272,736],"circle_positions":826,"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":[273,737,1201],"clock_positions":[273,737,1201],"native_values":[358,771,771],"rotation_degrees":70.60344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,771,771],"beta":{"interval_sums":[185905,183014,193339],"interval_residues":[55,468,55],"display_cycle":[55,468,55],"intervals":[{"from_index":273,"to_index":737,"sum":185905,"residue":55},{"from_index":737,"to_index":1201,"sum":183014,"residue":468},{"from_index":1201,"to_index":273,"sum":193339,"residue":55}],"minimal_cycle":[55,468,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[273,737],"circle_positions":826,"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":[274,738,1202],"clock_positions":[274,738,1202],"native_values":[547,134,547],"rotation_degrees":70.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,134,547],"beta":{"interval_sums":[186129,183651,193150],"interval_residues":[279,279,692],"display_cycle":[279,279,692],"intervals":[{"from_index":274,"to_index":738,"sum":186129,"residue":279},{"from_index":738,"to_index":1202,"sum":183651,"residue":279},{"from_index":1202,"to_index":274,"sum":193150,"residue":692}],"minimal_cycle":[279,279,692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[274,738],"circle_positions":826,"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":[275,739,1203],"clock_positions":[275,739,1203],"native_values":[79,79,492],"rotation_degrees":71.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,79,492],"beta":{"interval_sums":[186184,184119,193205],"interval_residues":[334,747,747],"display_cycle":[334,747,747],"intervals":[{"from_index":275,"to_index":739,"sum":186184,"residue":334},{"from_index":739,"to_index":1203,"sum":184119,"residue":747},{"from_index":1203,"to_index":275,"sum":193205,"residue":747}],"minimal_cycle":[334,747,747],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[275,739],"circle_positions":826,"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":[276,740,1204],"clock_positions":[276,740,1204],"native_values":[626,213,213],"rotation_degrees":71.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,213,213],"beta":{"interval_sums":[185637,184398,193071],"interval_residues":[613,200,613],"display_cycle":[613,200,613],"intervals":[{"from_index":276,"to_index":740,"sum":185637,"residue":613},{"from_index":740,"to_index":1204,"sum":184398,"residue":200},{"from_index":1204,"to_index":276,"sum":193071,"residue":613}],"minimal_cycle":[613,200,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[276,740],"circle_positions":826,"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":[277,741,1205],"clock_positions":[277,741,1205],"native_values":[705,292,705],"rotation_degrees":71.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,292,705],"beta":{"interval_sums":[185145,184319,192992],"interval_residues":[121,121,534],"display_cycle":[121,121,534],"intervals":[{"from_index":277,"to_index":741,"sum":185145,"residue":121},{"from_index":741,"to_index":1205,"sum":184319,"residue":121},{"from_index":1205,"to_index":277,"sum":192992,"residue":534}],"minimal_cycle":[121,121,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[277,741],"circle_positions":826,"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":[278,742,1206],"clock_positions":[278,742,1206],"native_values":[505,505,92],"rotation_degrees":71.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,505,92],"beta":{"interval_sums":[184932,184519,193605],"interval_residues":[734,321,321],"display_cycle":[734,321,321],"intervals":[{"from_index":278,"to_index":742,"sum":184932,"residue":734},{"from_index":742,"to_index":1206,"sum":184519,"residue":321},{"from_index":1206,"to_index":278,"sum":193605,"residue":321}],"minimal_cycle":[734,321,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[278,742],"circle_positions":826,"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":[279,743,1207],"clock_positions":[279,743,1207],"native_values":[384,797,797],"rotation_degrees":72.15517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,797,797],"beta":{"interval_sums":[185053,183814,193313],"interval_residues":[29,442,29],"display_cycle":[29,442,29],"intervals":[{"from_index":279,"to_index":743,"sum":185053,"residue":29},{"from_index":743,"to_index":1207,"sum":183814,"residue":442},{"from_index":1207,"to_index":279,"sum":193313,"residue":29}],"minimal_cycle":[29,442,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[279,743],"circle_positions":826,"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":[280,744,1208],"clock_positions":[280,744,1208],"native_values":[63,476,63],"rotation_degrees":72.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,476,63],"beta":{"interval_sums":[185787,184135,193634],"interval_residues":[763,763,350],"display_cycle":[763,763,350],"intervals":[{"from_index":280,"to_index":744,"sum":185787,"residue":763},{"from_index":744,"to_index":1208,"sum":184135,"residue":763},{"from_index":1208,"to_index":280,"sum":193634,"residue":350}],"minimal_cycle":[763,763,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":763,"start_interval_clock_positions":[280,744],"circle_positions":826,"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":[281,745,1209],"clock_positions":[281,745,1209],"native_values":[447,447,34],"rotation_degrees":72.67241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,447,34],"beta":{"interval_sums":[185816,183751,193663],"interval_residues":[792,379,379],"display_cycle":[792,379,379],"intervals":[{"from_index":281,"to_index":745,"sum":185816,"residue":792},{"from_index":745,"to_index":1209,"sum":183751,"residue":379},{"from_index":1209,"to_index":281,"sum":193663,"residue":379}],"minimal_cycle":[792,379,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[281,745],"circle_positions":826,"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":[282,746,1210],"clock_positions":[282,746,1210],"native_values":[510,97,97],"rotation_degrees":72.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,97,97],"beta":{"interval_sums":[185753,183688,194013],"interval_residues":[729,316,729],"display_cycle":[729,316,729],"intervals":[{"from_index":282,"to_index":746,"sum":185753,"residue":729},{"from_index":746,"to_index":1210,"sum":183688,"residue":316},{"from_index":1210,"to_index":282,"sum":194013,"residue":729}],"minimal_cycle":[729,316,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":729,"start_interval_clock_positions":[282,746],"circle_positions":826,"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":[283,747,1211],"clock_positions":[283,747,1211],"native_values":[131,544,131],"rotation_degrees":73.1896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,544,131],"beta":{"interval_sums":[185719,183241,194392],"interval_residues":[695,695,282],"display_cycle":[695,695,282],"intervals":[{"from_index":283,"to_index":747,"sum":185719,"residue":695},{"from_index":747,"to_index":1211,"sum":183241,"residue":695},{"from_index":1211,"to_index":283,"sum":194392,"residue":282}],"minimal_cycle":[695,695,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[283,747],"circle_positions":826,"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":[284,748,1212],"clock_positions":[284,748,1212],"native_values":[641,641,228],"rotation_degrees":73.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,641,228],"beta":{"interval_sums":[185622,182731,194295],"interval_residues":[598,185,185],"display_cycle":[598,185,185],"intervals":[{"from_index":284,"to_index":748,"sum":185622,"residue":598},{"from_index":748,"to_index":1212,"sum":182731,"residue":185},{"from_index":1212,"to_index":284,"sum":194295,"residue":185}],"minimal_cycle":[598,185,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[284,748],"circle_positions":826,"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":[285,749,1213],"clock_positions":[285,749,1213],"native_values":[772,359,359],"rotation_degrees":73.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[772,359,359],"beta":{"interval_sums":[185491,182600,194577],"interval_residues":[467,54,467],"display_cycle":[467,54,467],"intervals":[{"from_index":285,"to_index":749,"sum":185491,"residue":467},{"from_index":749,"to_index":1213,"sum":182600,"residue":54},{"from_index":1213,"to_index":285,"sum":194577,"residue":467}],"minimal_cycle":[467,54,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[285,749],"circle_positions":826,"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":[286,750,1214],"clock_positions":[286,750,1214],"native_values":[587,174,587],"rotation_degrees":73.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,174,587],"beta":{"interval_sums":[185263,182785,194762],"interval_residues":[239,239,652],"display_cycle":[239,239,652],"intervals":[{"from_index":286,"to_index":750,"sum":185263,"residue":239},{"from_index":750,"to_index":1214,"sum":182785,"residue":239},{"from_index":1214,"to_index":286,"sum":194762,"residue":652}],"minimal_cycle":[239,239,652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[286,750],"circle_positions":826,"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":[287,751,1215],"clock_positions":[287,751,1215],"native_values":[533,533,120],"rotation_degrees":74.22413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,533,120],"beta":{"interval_sums":[184904,182839,195229],"interval_residues":[706,293,293],"display_cycle":[706,293,293],"intervals":[{"from_index":287,"to_index":751,"sum":184904,"residue":706},{"from_index":751,"to_index":1215,"sum":182839,"residue":293},{"from_index":1215,"to_index":287,"sum":195229,"residue":293}],"minimal_cycle":[706,293,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[287,751],"circle_positions":826,"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":[288,752,1216],"clock_positions":[288,752,1216],"native_values":[294,707,707],"rotation_degrees":74.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,707,707],"beta":{"interval_sums":[185143,182252,195055],"interval_residues":[119,532,119],"display_cycle":[119,532,119],"intervals":[{"from_index":288,"to_index":752,"sum":185143,"residue":119},{"from_index":752,"to_index":1216,"sum":182252,"residue":532},{"from_index":1216,"to_index":288,"sum":195055,"residue":119}],"minimal_cycle":[119,532,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[288,752],"circle_positions":826,"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":[289,753,1217],"clock_positions":[289,753,1217],"native_values":[1,414,1],"rotation_degrees":74.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,414,1],"beta":{"interval_sums":[185849,182545,195348],"interval_residues":[825,825,412],"display_cycle":[825,825,412],"intervals":[{"from_index":289,"to_index":753,"sum":185849,"residue":825},{"from_index":753,"to_index":1217,"sum":182545,"residue":825},{"from_index":1217,"to_index":289,"sum":195348,"residue":412}],"minimal_cycle":[825,825,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":825,"start_interval_clock_positions":[289,753],"circle_positions":826,"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":[290,754,1218],"clock_positions":[290,754,1218],"native_values":[295,295,708],"rotation_degrees":75.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,295,708],"beta":{"interval_sums":[185968,182251,194641],"interval_residues":[118,531,531],"display_cycle":[118,531,531],"intervals":[{"from_index":290,"to_index":754,"sum":185968,"residue":118},{"from_index":754,"to_index":1218,"sum":182251,"residue":531},{"from_index":1218,"to_index":290,"sum":194641,"residue":531}],"minimal_cycle":[118,531,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[290,754],"circle_positions":826,"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":[291,755,1219],"clock_positions":[291,755,1219],"native_values":[296,709,709],"rotation_degrees":75.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,709,709],"beta":{"interval_sums":[185967,182250,194227],"interval_residues":[117,530,117],"display_cycle":[117,530,117],"intervals":[{"from_index":291,"to_index":755,"sum":185967,"residue":117},{"from_index":755,"to_index":1219,"sum":182250,"residue":530},{"from_index":1219,"to_index":291,"sum":194227,"residue":117}],"minimal_cycle":[117,530,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[291,755],"circle_positions":826,"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":[292,756,1220],"clock_positions":[292,756,1220],"native_values":[591,178,591],"rotation_degrees":75.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,178,591],"beta":{"interval_sums":[186085,182781,193932],"interval_residues":[235,235,648],"display_cycle":[235,235,648],"intervals":[{"from_index":292,"to_index":756,"sum":186085,"residue":235},{"from_index":756,"to_index":1220,"sum":182781,"residue":235},{"from_index":1220,"to_index":292,"sum":193932,"residue":648}],"minimal_cycle":[235,235,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[292,756],"circle_positions":826,"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":[293,757,1221],"clock_positions":[293,757,1221],"native_values":[61,61,474],"rotation_degrees":75.77586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,61,474],"beta":{"interval_sums":[186202,183311,194049],"interval_residues":[352,765,765],"display_cycle":[352,765,765],"intervals":[{"from_index":293,"to_index":757,"sum":186202,"residue":352},{"from_index":757,"to_index":1221,"sum":183311,"residue":765},{"from_index":1221,"to_index":293,"sum":194049,"residue":765}],"minimal_cycle":[352,765,765],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[293,757],"circle_positions":826,"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":[294,758,1222],"clock_positions":[294,758,1222],"native_values":[652,239,239],"rotation_degrees":76.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[652,239,239],"beta":{"interval_sums":[185611,183546,193871],"interval_residues":[587,174,587],"display_cycle":[587,174,587],"intervals":[{"from_index":294,"to_index":758,"sum":185611,"residue":587},{"from_index":758,"to_index":1222,"sum":183546,"residue":174},{"from_index":1222,"to_index":294,"sum":193871,"residue":587}],"minimal_cycle":[587,174,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[294,758],"circle_positions":826,"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":[295,759,1223],"clock_positions":[295,759,1223],"native_values":[713,300,713],"rotation_degrees":76.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,300,713],"beta":{"interval_sums":[185137,183485,193810],"interval_residues":[113,113,526],"display_cycle":[113,113,526],"intervals":[{"from_index":295,"to_index":759,"sum":185137,"residue":113},{"from_index":759,"to_index":1223,"sum":183485,"residue":113},{"from_index":1223,"to_index":295,"sum":193810,"residue":526}],"minimal_cycle":[113,113,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[295,759],"circle_positions":826,"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":[296,760,1224],"clock_positions":[296,760,1224],"native_values":[539,539,126],"rotation_degrees":76.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,539,126],"beta":{"interval_sums":[184898,183659,194397],"interval_residues":[700,287,287],"display_cycle":[700,287,287],"intervals":[{"from_index":296,"to_index":760,"sum":184898,"residue":700},{"from_index":760,"to_index":1224,"sum":183659,"residue":287},{"from_index":1224,"to_index":296,"sum":194397,"residue":287}],"minimal_cycle":[700,287,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[296,760],"circle_positions":826,"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":[297,761,1225],"clock_positions":[297,761,1225],"native_values":[426,13,13],"rotation_degrees":76.8103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,13,13],"beta":{"interval_sums":[185011,183772,194923],"interval_residues":[813,400,813],"display_cycle":[813,400,813],"intervals":[{"from_index":297,"to_index":761,"sum":185011,"residue":813},{"from_index":761,"to_index":1225,"sum":183772,"residue":400},{"from_index":1225,"to_index":297,"sum":194923,"residue":813}],"minimal_cycle":[813,400,813],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":813,"start_interval_clock_positions":[297,761],"circle_positions":826,"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":[298,762,1226],"clock_positions":[298,762,1226],"native_values":[139,552,139],"rotation_degrees":77.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,552,139],"beta":{"interval_sums":[184885,183233,195210],"interval_residues":[687,687,274],"display_cycle":[687,687,274],"intervals":[{"from_index":298,"to_index":762,"sum":184885,"residue":687},{"from_index":762,"to_index":1226,"sum":183233,"residue":687},{"from_index":1226,"to_index":298,"sum":195210,"residue":274}],"minimal_cycle":[687,687,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":687,"start_interval_clock_positions":[298,762],"circle_positions":826,"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":[299,763,1227],"clock_positions":[299,763,1227],"native_values":[565,565,152],"rotation_degrees":77.32758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,565,152],"beta":{"interval_sums":[184872,182807,195197],"interval_residues":[674,261,261],"display_cycle":[674,261,261],"intervals":[{"from_index":299,"to_index":763,"sum":184872,"residue":674},{"from_index":763,"to_index":1227,"sum":182807,"residue":261},{"from_index":1227,"to_index":299,"sum":195197,"residue":261}],"minimal_cycle":[674,261,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[299,763],"circle_positions":826,"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":[300,764,1228],"clock_positions":[300,764,1228],"native_values":[704,291,291],"rotation_degrees":77.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,291,291],"beta":{"interval_sums":[184733,182668,195471],"interval_residues":[535,122,535],"display_cycle":[535,122,535],"intervals":[{"from_index":300,"to_index":764,"sum":184733,"residue":535},{"from_index":764,"to_index":1228,"sum":182668,"residue":122},{"from_index":1228,"to_index":300,"sum":195471,"residue":535}],"minimal_cycle":[535,122,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":535,"start_interval_clock_positions":[300,764],"circle_positions":826,"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":[301,765,1229],"clock_positions":[301,765,1229],"native_values":[443,30,443],"rotation_degrees":77.84482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,30,443],"beta":{"interval_sums":[184581,182929,195732],"interval_residues":[383,383,796],"display_cycle":[383,383,796],"intervals":[{"from_index":301,"to_index":765,"sum":184581,"residue":383},{"from_index":765,"to_index":1229,"sum":182929,"residue":383},{"from_index":1229,"to_index":301,"sum":195732,"residue":796}],"minimal_cycle":[383,383,796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[301,765],"circle_positions":826,"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":[302,766,1230],"clock_positions":[302,766,1230],"native_values":[321,321,734],"rotation_degrees":78.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,321,734],"beta":{"interval_sums":[184290,183051,195441],"interval_residues":[92,505,505],"display_cycle":[92,505,505],"intervals":[{"from_index":302,"to_index":766,"sum":184290,"residue":92},{"from_index":766,"to_index":1230,"sum":183051,"residue":505},{"from_index":1230,"to_index":302,"sum":195441,"residue":505}],"minimal_cycle":[92,505,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[302,766],"circle_positions":826,"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":[303,767,1231],"clock_positions":[303,767,1231],"native_values":[764,351,351],"rotation_degrees":78.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,351,351],"beta":{"interval_sums":[183847,183434,195411],"interval_residues":[475,62,475],"display_cycle":[475,62,475],"intervals":[{"from_index":303,"to_index":767,"sum":183847,"residue":475},{"from_index":767,"to_index":1231,"sum":183434,"residue":62},{"from_index":1231,"to_index":303,"sum":195411,"residue":475}],"minimal_cycle":[475,62,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[303,767],"circle_positions":826,"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":[304,768,1232],"clock_positions":[304,768,1232],"native_values":[259,672,259],"rotation_degrees":78.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,672,259],"beta":{"interval_sums":[183939,183113,195916],"interval_residues":[567,567,154],"display_cycle":[567,567,154],"intervals":[{"from_index":304,"to_index":768,"sum":183939,"residue":567},{"from_index":768,"to_index":1232,"sum":183113,"residue":567},{"from_index":1232,"to_index":304,"sum":195916,"residue":154}],"minimal_cycle":[567,567,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[304,768],"circle_positions":826,"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":[305,769,1233],"clock_positions":[305,769,1233],"native_values":[197,197,610],"rotation_degrees":78.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,197,610],"beta":{"interval_sums":[184414,183175,195565],"interval_residues":[216,629,629],"display_cycle":[216,629,629],"intervals":[{"from_index":305,"to_index":769,"sum":184414,"residue":216},{"from_index":769,"to_index":1233,"sum":183175,"residue":629},{"from_index":1233,"to_index":305,"sum":195565,"residue":629}],"minimal_cycle":[216,629,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[305,769],"circle_positions":826,"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":[306,770,1234],"clock_positions":[306,770,1234],"native_values":[456,43,43],"rotation_degrees":79.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,43,43],"beta":{"interval_sums":[184155,183742,195719],"interval_residues":[783,370,783],"display_cycle":[783,370,783],"intervals":[{"from_index":306,"to_index":770,"sum":184155,"residue":783},{"from_index":770,"to_index":1234,"sum":183742,"residue":370},{"from_index":1234,"to_index":306,"sum":195719,"residue":783}],"minimal_cycle":[783,370,783],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":783,"start_interval_clock_positions":[306,770],"circle_positions":826,"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":[307,771,1235],"clock_positions":[307,771,1235],"native_values":[653,240,653],"rotation_degrees":79.39655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,240,653],"beta":{"interval_sums":[183545,183545,195522],"interval_residues":[173,173,586],"display_cycle":[173,173,586],"intervals":[{"from_index":307,"to_index":771,"sum":183545,"residue":173},{"from_index":771,"to_index":1235,"sum":183545,"residue":173},{"from_index":1235,"to_index":307,"sum":195522,"residue":586}],"minimal_cycle":[173,173,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[307,771],"circle_positions":826,"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":[308,772,1236],"clock_positions":[308,772,1236],"native_values":[283,283,696],"rotation_degrees":79.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,283,696],"beta":{"interval_sums":[183502,183915,195479],"interval_residues":[130,543,543],"display_cycle":[130,543,543],"intervals":[{"from_index":308,"to_index":772,"sum":183502,"residue":130},{"from_index":772,"to_index":1236,"sum":183915,"residue":543},{"from_index":1236,"to_index":308,"sum":195479,"residue":543}],"minimal_cycle":[130,543,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[308,772],"circle_positions":826,"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":[309,773,1237],"clock_positions":[309,773,1237],"native_values":[110,523,523],"rotation_degrees":79.91379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,523,523],"beta":{"interval_sums":[183675,184088,195239],"interval_residues":[303,716,303],"display_cycle":[303,716,303],"intervals":[{"from_index":309,"to_index":773,"sum":183675,"residue":303},{"from_index":773,"to_index":1237,"sum":184088,"residue":716},{"from_index":1237,"to_index":309,"sum":195239,"residue":303}],"minimal_cycle":[303,716,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[309,773],"circle_positions":826,"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":[310,774,1238],"clock_positions":[310,774,1238],"native_values":[393,806,393],"rotation_degrees":80.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,806,393],"beta":{"interval_sums":[183805,183805,194956],"interval_residues":[433,433,20],"display_cycle":[433,433,20],"intervals":[{"from_index":310,"to_index":774,"sum":183805,"residue":433},{"from_index":774,"to_index":1238,"sum":183805,"residue":433},{"from_index":1238,"to_index":310,"sum":194956,"residue":20}],"minimal_cycle":[433,433,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":433,"start_interval_clock_positions":[310,774],"circle_positions":826,"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":[311,775,1239],"clock_positions":[311,775,1239],"native_values":[503,503,90],"rotation_degrees":80.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,503,90],"beta":{"interval_sums":[184108,183695,195259],"interval_residues":[736,323,323],"display_cycle":[736,323,323],"intervals":[{"from_index":311,"to_index":775,"sum":184108,"residue":736},{"from_index":775,"to_index":1239,"sum":183695,"residue":323},{"from_index":1239,"to_index":311,"sum":195259,"residue":323}],"minimal_cycle":[736,323,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[311,775],"circle_positions":826,"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":[312,776,1240],"clock_positions":[312,776,1240],"native_values":[70,483,483],"rotation_degrees":80.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,483,483],"beta":{"interval_sums":[184541,183302,195279],"interval_residues":[343,756,343],"display_cycle":[343,756,343],"intervals":[{"from_index":312,"to_index":776,"sum":184541,"residue":343},{"from_index":776,"to_index":1240,"sum":183302,"residue":756},{"from_index":1240,"to_index":312,"sum":195279,"residue":343}],"minimal_cycle":[343,756,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[312,776],"circle_positions":826,"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":[313,777,1241],"clock_positions":[313,777,1241],"native_values":[573,160,573],"rotation_degrees":80.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,160,573],"beta":{"interval_sums":[184451,183625,194776],"interval_residues":[253,253,666],"display_cycle":[253,253,666],"intervals":[{"from_index":313,"to_index":777,"sum":184451,"residue":253},{"from_index":777,"to_index":1241,"sum":183625,"residue":253},{"from_index":1241,"to_index":313,"sum":194776,"residue":666}],"minimal_cycle":[253,253,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[313,777],"circle_positions":826,"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":[314,778,1242],"clock_positions":[314,778,1242],"native_values":[643,643,230],"rotation_degrees":81.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,643,230],"beta":{"interval_sums":[183968,183555,195119],"interval_residues":[596,183,183],"display_cycle":[596,183,183],"intervals":[{"from_index":314,"to_index":778,"sum":183968,"residue":596},{"from_index":778,"to_index":1242,"sum":183555,"residue":183},{"from_index":1242,"to_index":314,"sum":195119,"residue":183}],"minimal_cycle":[596,183,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[314,778],"circle_positions":826,"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":[315,779,1243],"clock_positions":[315,779,1243],"native_values":[390,803,803],"rotation_degrees":81.46551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,803,803],"beta":{"interval_sums":[184221,182982,194959],"interval_residues":[23,436,23],"display_cycle":[23,436,23],"intervals":[{"from_index":315,"to_index":779,"sum":184221,"residue":23},{"from_index":779,"to_index":1243,"sum":182982,"residue":436},{"from_index":1243,"to_index":315,"sum":194959,"residue":23}],"minimal_cycle":[23,436,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[315,779],"circle_positions":826,"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":[316,780,1244],"clock_positions":[316,780,1244],"native_values":[207,620,207],"rotation_degrees":81.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,620,207],"beta":{"interval_sums":[184817,183165,195142],"interval_residues":[619,619,206],"display_cycle":[619,619,206],"intervals":[{"from_index":316,"to_index":780,"sum":184817,"residue":619},{"from_index":780,"to_index":1244,"sum":183165,"residue":619},{"from_index":1244,"to_index":316,"sum":195142,"residue":206}],"minimal_cycle":[619,619,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":619,"start_interval_clock_positions":[316,780],"circle_positions":826,"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":[317,781,1245],"clock_positions":[317,781,1245],"native_values":[597,597,184],"rotation_degrees":81.98275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,597,184],"beta":{"interval_sums":[184840,182775,195165],"interval_residues":[642,229,229],"display_cycle":[642,229,229],"intervals":[{"from_index":317,"to_index":781,"sum":184840,"residue":642},{"from_index":781,"to_index":1245,"sum":182775,"residue":229},{"from_index":1245,"to_index":317,"sum":195165,"residue":229}],"minimal_cycle":[642,229,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[317,781],"circle_positions":826,"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":[318,782,1246],"clock_positions":[318,782,1246],"native_values":[804,391,391],"rotation_degrees":82.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[804,391,391],"beta":{"interval_sums":[184633,182568,195371],"interval_residues":[435,22,435],"display_cycle":[435,22,435],"intervals":[{"from_index":318,"to_index":782,"sum":184633,"residue":435},{"from_index":782,"to_index":1246,"sum":182568,"residue":22},{"from_index":1246,"to_index":318,"sum":195371,"residue":435}],"minimal_cycle":[435,22,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[318,782],"circle_positions":826,"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":[319,783,1247],"clock_positions":[319,783,1247],"native_values":[575,162,575],"rotation_degrees":82.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,162,575],"beta":{"interval_sums":[184449,182797,195600],"interval_residues":[251,251,664],"display_cycle":[251,251,664],"intervals":[{"from_index":319,"to_index":783,"sum":184449,"residue":251},{"from_index":783,"to_index":1247,"sum":182797,"residue":251},{"from_index":1247,"to_index":319,"sum":195600,"residue":664}],"minimal_cycle":[251,251,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[319,783],"circle_positions":826,"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":[320,784,1248],"clock_positions":[320,784,1248],"native_values":[553,553,140],"rotation_degrees":82.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,553,140],"beta":{"interval_sums":[184058,182819,196035],"interval_residues":[686,273,273],"display_cycle":[686,273,273],"intervals":[{"from_index":320,"to_index":784,"sum":184058,"residue":686},{"from_index":784,"to_index":1248,"sum":182819,"residue":273},{"from_index":1248,"to_index":320,"sum":196035,"residue":273}],"minimal_cycle":[686,273,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[320,784],"circle_positions":826,"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":[321,785,1249],"clock_positions":[321,785,1249],"native_values":[302,715,715],"rotation_degrees":83.01724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,715,715],"beta":{"interval_sums":[184309,182244,195873],"interval_residues":[111,524,111],"display_cycle":[111,524,111],"intervals":[{"from_index":321,"to_index":785,"sum":184309,"residue":111},{"from_index":785,"to_index":1249,"sum":182244,"residue":524},{"from_index":1249,"to_index":321,"sum":195873,"residue":111}],"minimal_cycle":[111,524,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[321,785],"circle_positions":826,"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":[322,786,1250],"clock_positions":[322,786,1250],"native_values":[29,442,29],"rotation_degrees":83.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,442,29],"beta":{"interval_sums":[184995,182517,196146],"interval_residues":[797,797,384],"display_cycle":[797,797,384],"intervals":[{"from_index":322,"to_index":786,"sum":184995,"residue":797},{"from_index":786,"to_index":1250,"sum":182517,"residue":797},{"from_index":1250,"to_index":322,"sum":196146,"residue":384}],"minimal_cycle":[797,797,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":797,"start_interval_clock_positions":[322,786],"circle_positions":826,"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":[323,787,1251],"clock_positions":[323,787,1251],"native_values":[331,331,744],"rotation_degrees":83.53448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,331,744],"beta":{"interval_sums":[185106,182215,195431],"interval_residues":[82,495,495],"display_cycle":[82,495,495],"intervals":[{"from_index":323,"to_index":787,"sum":185106,"residue":82},{"from_index":787,"to_index":1251,"sum":182215,"residue":495},{"from_index":1251,"to_index":323,"sum":195431,"residue":495}],"minimal_cycle":[82,495,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[323,787],"circle_positions":826,"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":[324,788,1252],"clock_positions":[324,788,1252],"native_values":[360,773,773],"rotation_degrees":83.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[360,773,773],"beta":{"interval_sums":[185077,182186,194989],"interval_residues":[53,466,53],"display_cycle":[53,466,53],"intervals":[{"from_index":324,"to_index":788,"sum":185077,"residue":53},{"from_index":788,"to_index":1252,"sum":182186,"residue":466},{"from_index":1252,"to_index":324,"sum":194989,"residue":53}],"minimal_cycle":[53,466,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[324,788],"circle_positions":826,"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":[325,789,1253],"clock_positions":[325,789,1253],"native_values":[691,278,691],"rotation_degrees":84.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,278,691],"beta":{"interval_sums":[185159,182681,194658],"interval_residues":[135,135,548],"display_cycle":[135,135,548],"intervals":[{"from_index":325,"to_index":789,"sum":185159,"residue":135},{"from_index":789,"to_index":1253,"sum":182681,"residue":135},{"from_index":1253,"to_index":325,"sum":194658,"residue":548}],"minimal_cycle":[135,135,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[325,789],"circle_positions":826,"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":[326,790,1254],"clock_positions":[326,790,1254],"native_values":[225,225,638],"rotation_degrees":84.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,225,638],"beta":{"interval_sums":[185212,183147,194711],"interval_residues":[188,601,601],"display_cycle":[188,601,601],"intervals":[{"from_index":326,"to_index":790,"sum":185212,"residue":188},{"from_index":790,"to_index":1254,"sum":183147,"residue":601},{"from_index":1254,"to_index":326,"sum":194711,"residue":601}],"minimal_cycle":[188,601,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[326,790],"circle_positions":826,"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":[327,791,1255],"clock_positions":[327,791,1255],"native_values":[90,503,503],"rotation_degrees":84.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,503,503],"beta":{"interval_sums":[185347,183282,194433],"interval_residues":[323,736,323],"display_cycle":[323,736,323],"intervals":[{"from_index":327,"to_index":791,"sum":185347,"residue":323},{"from_index":791,"to_index":1255,"sum":183282,"residue":736},{"from_index":1255,"to_index":327,"sum":194433,"residue":323}],"minimal_cycle":[323,736,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[327,791],"circle_positions":826,"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":[328,792,1256],"clock_positions":[328,792,1256],"native_values":[315,728,315],"rotation_degrees":84.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,728,315],"beta":{"interval_sums":[185535,183057,194208],"interval_residues":[511,511,98],"display_cycle":[511,511,98],"intervals":[{"from_index":328,"to_index":792,"sum":185535,"residue":511},{"from_index":792,"to_index":1256,"sum":183057,"residue":511},{"from_index":1256,"to_index":328,"sum":194208,"residue":98}],"minimal_cycle":[511,511,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[328,792],"circle_positions":826,"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":[329,793,1257],"clock_positions":[329,793,1257],"native_values":[405,405,818],"rotation_degrees":85.08620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,818],"beta":{"interval_sums":[185858,182967,193705],"interval_residues":[8,421,421],"display_cycle":[8,421,421],"intervals":[{"from_index":329,"to_index":793,"sum":185858,"residue":8},{"from_index":793,"to_index":1257,"sum":182967,"residue":421},{"from_index":1257,"to_index":329,"sum":193705,"residue":421}],"minimal_cycle":[8,421,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[329,793],"circle_positions":826,"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":[330,794,1258],"clock_positions":[330,794,1258],"native_values":[720,307,307],"rotation_degrees":85.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,307,307],"beta":{"interval_sums":[185543,183478,193803],"interval_residues":[519,106,519],"display_cycle":[519,106,519],"intervals":[{"from_index":330,"to_index":794,"sum":185543,"residue":519},{"from_index":794,"to_index":1258,"sum":183478,"residue":106},{"from_index":1258,"to_index":330,"sum":193803,"residue":519}],"minimal_cycle":[519,106,519],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[330,794],"circle_positions":826,"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":[331,795,1259],"clock_positions":[331,795,1259],"native_values":[299,712,299],"rotation_degrees":85.60344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,712,299],"beta":{"interval_sums":[185551,183073,194224],"interval_residues":[527,527,114],"display_cycle":[527,527,114],"intervals":[{"from_index":331,"to_index":795,"sum":185551,"residue":527},{"from_index":795,"to_index":1259,"sum":183073,"residue":527},{"from_index":1259,"to_index":331,"sum":194224,"residue":114}],"minimal_cycle":[527,527,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":527,"start_interval_clock_positions":[331,795],"circle_positions":826,"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":[332,796,1260],"clock_positions":[332,796,1260],"native_values":[193,193,606],"rotation_degrees":85.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,193,606],"beta":{"interval_sums":[186070,183179,193917],"interval_residues":[220,633,633],"display_cycle":[220,633,633],"intervals":[{"from_index":332,"to_index":796,"sum":186070,"residue":220},{"from_index":796,"to_index":1260,"sum":183179,"residue":633},{"from_index":1260,"to_index":332,"sum":193917,"residue":633}],"minimal_cycle":[220,633,633],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[332,796],"circle_positions":826,"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":[333,797,1261],"clock_positions":[333,797,1261],"native_values":[492,79,79],"rotation_degrees":86.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,79,79],"beta":{"interval_sums":[185771,183706,194031],"interval_residues":[747,334,747],"display_cycle":[747,334,747],"intervals":[{"from_index":333,"to_index":797,"sum":185771,"residue":747},{"from_index":797,"to_index":1261,"sum":183706,"residue":334},{"from_index":1261,"to_index":333,"sum":194031,"residue":747}],"minimal_cycle":[747,334,747],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":747,"start_interval_clock_positions":[333,797],"circle_positions":826,"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":[334,798,1262],"clock_positions":[334,798,1262],"native_values":[685,272,685],"rotation_degrees":86.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,272,685],"beta":{"interval_sums":[185165,183513,193838],"interval_residues":[141,141,554],"display_cycle":[141,141,554],"intervals":[{"from_index":334,"to_index":798,"sum":185165,"residue":141},{"from_index":798,"to_index":1262,"sum":183513,"residue":141},{"from_index":1262,"to_index":334,"sum":193838,"residue":554}],"minimal_cycle":[141,141,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[334,798],"circle_positions":826,"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":[335,799,1263],"clock_positions":[335,799,1263],"native_values":[351,351,764],"rotation_degrees":86.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,351,764],"beta":{"interval_sums":[185086,183847,193759],"interval_residues":[62,475,475],"display_cycle":[62,475,475],"intervals":[{"from_index":335,"to_index":799,"sum":185086,"residue":62},{"from_index":799,"to_index":1263,"sum":183847,"residue":475},{"from_index":1263,"to_index":335,"sum":193759,"residue":475}],"minimal_cycle":[62,475,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[335,799],"circle_positions":826,"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":[336,800,1264],"clock_positions":[336,800,1264],"native_values":[210,623,623],"rotation_degrees":86.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,623,623],"beta":{"interval_sums":[185227,183988,193487],"interval_residues":[203,616,203],"display_cycle":[203,616,203],"intervals":[{"from_index":336,"to_index":800,"sum":185227,"residue":203},{"from_index":800,"to_index":1264,"sum":183988,"residue":616},{"from_index":1264,"to_index":336,"sum":193487,"residue":203}],"minimal_cycle":[203,616,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[336,800],"circle_positions":826,"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":[337,801,1265],"clock_positions":[337,801,1265],"native_values":[561,148,561],"rotation_degrees":87.15517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,148,561],"beta":{"interval_sums":[185289,184463,193136],"interval_residues":[265,265,678],"display_cycle":[265,265,678],"intervals":[{"from_index":337,"to_index":801,"sum":185289,"residue":265},{"from_index":801,"to_index":1265,"sum":184463,"residue":265},{"from_index":1265,"to_index":337,"sum":193136,"residue":678}],"minimal_cycle":[265,265,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[337,801],"circle_positions":826,"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":[338,802,1266],"clock_positions":[338,802,1266],"native_values":[771,771,358],"rotation_degrees":87.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,771,358],"beta":{"interval_sums":[184666,184253,193339],"interval_residues":[468,55,55],"display_cycle":[468,55,55],"intervals":[{"from_index":338,"to_index":802,"sum":184666,"residue":468},{"from_index":802,"to_index":1266,"sum":184253,"residue":55},{"from_index":1266,"to_index":338,"sum":193339,"residue":55}],"minimal_cycle":[468,55,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[338,802],"circle_positions":826,"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":[339,803,1267],"clock_positions":[339,803,1267],"native_values":[506,93,93],"rotation_degrees":87.67241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,93,93],"beta":{"interval_sums":[184931,184518,194017],"interval_residues":[733,320,733],"display_cycle":[733,320,733],"intervals":[{"from_index":339,"to_index":803,"sum":184931,"residue":733},{"from_index":803,"to_index":1267,"sum":184518,"residue":320},{"from_index":1267,"to_index":339,"sum":194017,"residue":733}],"minimal_cycle":[733,320,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[339,803],"circle_positions":826,"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":[340,804,1268],"clock_positions":[340,804,1268],"native_values":[451,38,451],"rotation_degrees":87.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,38,451],"beta":{"interval_sums":[184573,184573,194072],"interval_residues":[375,375,788],"display_cycle":[375,375,788],"intervals":[{"from_index":340,"to_index":804,"sum":184573,"residue":375},{"from_index":804,"to_index":1268,"sum":184573,"residue":375},{"from_index":1268,"to_index":340,"sum":194072,"residue":788}],"minimal_cycle":[375,375,788],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":375,"start_interval_clock_positions":[340,804],"circle_positions":826,"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":[341,805,1269],"clock_positions":[341,805,1269],"native_values":[131,131,544],"rotation_degrees":88.1896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,131,544],"beta":{"interval_sums":[184480,184893,193979],"interval_residues":[282,695,695],"display_cycle":[282,695,695],"intervals":[{"from_index":341,"to_index":805,"sum":184480,"residue":282},{"from_index":805,"to_index":1269,"sum":184893,"residue":695},{"from_index":1269,"to_index":341,"sum":193979,"residue":695}],"minimal_cycle":[282,695,695],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[341,805],"circle_positions":826,"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":[342,806,1270],"clock_positions":[342,806,1270],"native_values":[582,169,169],"rotation_degrees":88.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[582,169,169],"beta":{"interval_sums":[184029,185268,193941],"interval_residues":[657,244,657],"display_cycle":[657,244,657],"intervals":[{"from_index":342,"to_index":806,"sum":184029,"residue":657},{"from_index":806,"to_index":1270,"sum":185268,"residue":244},{"from_index":1270,"to_index":342,"sum":193941,"residue":657}],"minimal_cycle":[657,244,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[342,806],"circle_positions":826,"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":[343,807,1271],"clock_positions":[343,807,1271],"native_values":[713,300,713],"rotation_degrees":88.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,300,713],"beta":{"interval_sums":[183485,185137,193810],"interval_residues":[113,113,526],"display_cycle":[113,113,526],"intervals":[{"from_index":343,"to_index":807,"sum":183485,"residue":113},{"from_index":807,"to_index":1271,"sum":185137,"residue":113},{"from_index":1271,"to_index":343,"sum":193810,"residue":526}],"minimal_cycle":[113,113,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[343,807],"circle_positions":826,"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":[344,808,1272],"clock_positions":[344,808,1272],"native_values":[469,469,56],"rotation_degrees":88.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,469,56],"beta":{"interval_sums":[183316,185381,194467],"interval_residues":[770,357,357],"display_cycle":[770,357,357],"intervals":[{"from_index":344,"to_index":808,"sum":183316,"residue":770},{"from_index":808,"to_index":1272,"sum":185381,"residue":357},{"from_index":1272,"to_index":344,"sum":194467,"residue":357}],"minimal_cycle":[770,357,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[344,808],"circle_positions":826,"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":[345,809,1273],"clock_positions":[345,809,1273],"native_values":[356,769,769],"rotation_degrees":89.22413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,769,769],"beta":{"interval_sums":[183429,184668,194167],"interval_residues":[57,470,57],"display_cycle":[57,470,57],"intervals":[{"from_index":345,"to_index":809,"sum":183429,"residue":57},{"from_index":809,"to_index":1273,"sum":184668,"residue":470},{"from_index":1273,"to_index":345,"sum":194167,"residue":57}],"minimal_cycle":[57,470,57],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[345,809],"circle_positions":826,"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":[346,810,1274],"clock_positions":[346,810,1274],"native_values":[825,412,825],"rotation_degrees":89.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[825,412,825],"beta":{"interval_sums":[183373,185025,193698],"interval_residues":[1,1,414],"display_cycle":[1,1,414],"intervals":[{"from_index":346,"to_index":810,"sum":183373,"residue":1},{"from_index":810,"to_index":1274,"sum":185025,"residue":1},{"from_index":1274,"to_index":346,"sum":193698,"residue":414}],"minimal_cycle":[1,1,414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[346,810],"circle_positions":826,"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":[347,811,1275],"clock_positions":[347,811,1275],"native_values":[355,355,768],"rotation_degrees":89.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,355,768],"beta":{"interval_sums":[183430,185495,193755],"interval_residues":[58,471,471],"display_cycle":[58,471,471],"intervals":[{"from_index":347,"to_index":811,"sum":183430,"residue":58},{"from_index":811,"to_index":1275,"sum":185495,"residue":471},{"from_index":1275,"to_index":347,"sum":193755,"residue":471}],"minimal_cycle":[58,471,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[347,811],"circle_positions":826,"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":[348,812,1276],"clock_positions":[348,812,1276],"native_values":[354,767,767],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,767,767],"beta":{"interval_sums":[183431,185496,193343],"interval_residues":[59,472,59],"display_cycle":[59,472,59],"intervals":[{"from_index":348,"to_index":812,"sum":183431,"residue":59},{"from_index":812,"to_index":1276,"sum":185496,"residue":472},{"from_index":1276,"to_index":348,"sum":193343,"residue":59}],"minimal_cycle":[59,472,59],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":59,"start_interval_clock_positions":[348,812],"circle_positions":826,"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":[349,813,1277],"clock_positions":[349,813,1277],"native_values":[709,296,709],"rotation_degrees":90.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,296,709],"beta":{"interval_sums":[183489,185967,192988],"interval_residues":[117,117,530],"display_cycle":[117,117,530],"intervals":[{"from_index":349,"to_index":813,"sum":183489,"residue":117},{"from_index":813,"to_index":1277,"sum":185967,"residue":117},{"from_index":1277,"to_index":349,"sum":192988,"residue":530}],"minimal_cycle":[117,117,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[349,813],"circle_positions":826,"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":[350,814,1278],"clock_positions":[350,814,1278],"native_values":[237,237,650],"rotation_degrees":90.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,237,650],"beta":{"interval_sums":[183548,186439,193047],"interval_residues":[176,589,589],"display_cycle":[176,589,589],"intervals":[{"from_index":350,"to_index":814,"sum":183548,"residue":176},{"from_index":814,"to_index":1278,"sum":186439,"residue":589},{"from_index":1278,"to_index":350,"sum":193047,"residue":589}],"minimal_cycle":[176,589,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[350,814],"circle_positions":826,"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":[351,815,1279],"clock_positions":[351,815,1279],"native_values":[120,533,533],"rotation_degrees":90.77586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,533,533],"beta":{"interval_sums":[183665,186556,192751],"interval_residues":[293,706,293],"display_cycle":[293,706,293],"intervals":[{"from_index":351,"to_index":815,"sum":183665,"residue":293},{"from_index":815,"to_index":1279,"sum":186556,"residue":706},{"from_index":1279,"to_index":351,"sum":192751,"residue":293}],"minimal_cycle":[293,706,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[351,815],"circle_positions":826,"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":[352,816,1280],"clock_positions":[352,816,1280],"native_values":[357,770,357],"rotation_degrees":91.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,770,357],"beta":{"interval_sums":[183841,186319,192514],"interval_residues":[469,469,56],"display_cycle":[469,469,56],"intervals":[{"from_index":352,"to_index":816,"sum":183841,"residue":469},{"from_index":816,"to_index":1280,"sum":186319,"residue":469},{"from_index":1280,"to_index":352,"sum":192514,"residue":56}],"minimal_cycle":[469,469,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":469,"start_interval_clock_positions":[352,816],"circle_positions":826,"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":[353,817,1281],"clock_positions":[353,817,1281],"native_values":[477,477,64],"rotation_degrees":91.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,64],"beta":{"interval_sums":[184134,186199,192807],"interval_residues":[762,349,349],"display_cycle":[762,349,349],"intervals":[{"from_index":353,"to_index":817,"sum":184134,"residue":762},{"from_index":817,"to_index":1281,"sum":186199,"residue":349},{"from_index":1281,"to_index":353,"sum":192807,"residue":349}],"minimal_cycle":[762,349,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[353,817],"circle_positions":826,"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":[354,818,1282],"clock_positions":[354,818,1282],"native_values":[8,421,421],"rotation_degrees":91.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,421,421],"beta":{"interval_sums":[184603,185842,192863],"interval_residues":[405,818,405],"display_cycle":[405,818,405],"intervals":[{"from_index":354,"to_index":818,"sum":184603,"residue":405},{"from_index":818,"to_index":1282,"sum":185842,"residue":818},{"from_index":1282,"to_index":354,"sum":192863,"residue":405}],"minimal_cycle":[405,818,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[354,818],"circle_positions":826,"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":[355,819,1283],"clock_positions":[355,819,1283],"native_values":[485,72,485],"rotation_degrees":91.8103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,72,485],"beta":{"interval_sums":[184539,186191,192386],"interval_residues":[341,341,754],"display_cycle":[341,341,754],"intervals":[{"from_index":355,"to_index":819,"sum":184539,"residue":341},{"from_index":819,"to_index":1283,"sum":186191,"residue":341},{"from_index":1283,"to_index":355,"sum":192386,"residue":754}],"minimal_cycle":[341,341,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[355,819],"circle_positions":826,"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":[356,820,1284],"clock_positions":[356,820,1284],"native_values":[493,493,80],"rotation_degrees":92.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,493,80],"beta":{"interval_sums":[184118,186183,192791],"interval_residues":[746,333,333],"display_cycle":[746,333,333],"intervals":[{"from_index":356,"to_index":820,"sum":184118,"residue":746},{"from_index":820,"to_index":1284,"sum":186183,"residue":333},{"from_index":1284,"to_index":356,"sum":192791,"residue":333}],"minimal_cycle":[746,333,333],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[356,820],"circle_positions":826,"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":[357,821,1285],"clock_positions":[357,821,1285],"native_values":[152,565,565],"rotation_degrees":92.32758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,565,565],"beta":{"interval_sums":[184459,185698,192719],"interval_residues":[261,674,261],"display_cycle":[261,674,261],"intervals":[{"from_index":357,"to_index":821,"sum":184459,"residue":261},{"from_index":821,"to_index":1285,"sum":185698,"residue":674},{"from_index":1285,"to_index":357,"sum":192719,"residue":261}],"minimal_cycle":[261,674,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[357,821],"circle_positions":826,"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":[358,822,1286],"clock_positions":[358,822,1286],"native_values":[645,232,645],"rotation_degrees":92.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,232,645],"beta":{"interval_sums":[184379,186031,192226],"interval_residues":[181,181,594],"display_cycle":[181,181,594],"intervals":[{"from_index":358,"to_index":822,"sum":184379,"residue":181},{"from_index":822,"to_index":1286,"sum":186031,"residue":181},{"from_index":1286,"to_index":358,"sum":192226,"residue":594}],"minimal_cycle":[181,181,594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[358,822],"circle_positions":826,"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":[359,823,1287],"clock_positions":[359,823,1287],"native_values":[797,797,384],"rotation_degrees":92.84482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,797,384],"beta":{"interval_sums":[183814,185879,192487],"interval_residues":[442,29,29],"display_cycle":[442,29,29],"intervals":[{"from_index":359,"to_index":823,"sum":183814,"residue":442},{"from_index":823,"to_index":1287,"sum":185879,"residue":29},{"from_index":1287,"to_index":359,"sum":192487,"residue":29}],"minimal_cycle":[442,29,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[359,823],"circle_positions":826,"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":[360,824,1288],"clock_positions":[360,824,1288],"native_values":[616,203,203],"rotation_degrees":93.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,203,203],"beta":{"interval_sums":[183995,186060,193081],"interval_residues":[623,210,623],"display_cycle":[623,210,623],"intervals":[{"from_index":360,"to_index":824,"sum":183995,"residue":623},{"from_index":824,"to_index":1288,"sum":186060,"residue":210},{"from_index":1288,"to_index":360,"sum":193081,"residue":623}],"minimal_cycle":[623,210,623],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[360,824],"circle_positions":826,"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":[361,825,1289],"clock_positions":[361,825,1289],"native_values":[587,174,587],"rotation_degrees":93.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,174,587],"beta":{"interval_sums":[183611,186089,193110],"interval_residues":[239,239,652],"display_cycle":[239,239,652],"intervals":[{"from_index":361,"to_index":825,"sum":183611,"residue":239},{"from_index":825,"to_index":1289,"sum":186089,"residue":239},{"from_index":1289,"to_index":361,"sum":193110,"residue":652}],"minimal_cycle":[239,239,652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[361,825],"circle_positions":826,"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":[362,826,1290],"clock_positions":[362,826,1290],"native_values":[377,377,790],"rotation_degrees":93.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,377,790],"beta":{"interval_sums":[183408,186299,192907],"interval_residues":[36,449,449],"display_cycle":[36,449,449],"intervals":[{"from_index":362,"to_index":826,"sum":183408,"residue":36},{"from_index":826,"to_index":1290,"sum":186299,"residue":449},{"from_index":1290,"to_index":362,"sum":192907,"residue":449}],"minimal_cycle":[36,449,449],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[362,826],"circle_positions":826,"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":[363,827,1291],"clock_positions":[363,827,1291],"native_values":[138,551,551],"rotation_degrees":93.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,551,551],"beta":{"interval_sums":[183647,186538,192733],"interval_residues":[275,688,275],"display_cycle":[275,688,275],"intervals":[{"from_index":363,"to_index":827,"sum":183647,"residue":275},{"from_index":827,"to_index":1291,"sum":186538,"residue":688},{"from_index":1291,"to_index":363,"sum":192733,"residue":275}],"minimal_cycle":[275,688,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[363,827],"circle_positions":826,"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":[364,828,1292],"clock_positions":[364,828,1292],"native_values":[515,102,515],"rotation_degrees":94.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,102,515],"beta":{"interval_sums":[183683,186987,192356],"interval_residues":[311,311,724],"display_cycle":[311,311,724],"intervals":[{"from_index":364,"to_index":828,"sum":183683,"residue":311},{"from_index":828,"to_index":1292,"sum":186987,"residue":311},{"from_index":1292,"to_index":364,"sum":192356,"residue":724}],"minimal_cycle":[311,311,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[364,828],"circle_positions":826,"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":[365,829,1293],"clock_positions":[365,829,1293],"native_values":[653,653,240],"rotation_degrees":94.39655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,653,240],"beta":{"interval_sums":[183132,186849,192631],"interval_residues":[586,173,173],"display_cycle":[586,173,173],"intervals":[{"from_index":365,"to_index":829,"sum":183132,"residue":586},{"from_index":829,"to_index":1293,"sum":186849,"residue":173},{"from_index":1293,"to_index":365,"sum":192631,"residue":173}],"minimal_cycle":[586,173,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[365,829],"circle_positions":826,"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":[366,830,1294],"clock_positions":[366,830,1294],"native_values":[342,755,755],"rotation_degrees":94.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[342,755,755],"beta":{"interval_sums":[183443,186334,192529],"interval_residues":[71,484,71],"display_cycle":[71,484,71],"intervals":[{"from_index":366,"to_index":830,"sum":183443,"residue":71},{"from_index":830,"to_index":1294,"sum":186334,"residue":484},{"from_index":1294,"to_index":366,"sum":192529,"residue":71}],"minimal_cycle":[71,484,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[366,830],"circle_positions":826,"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":[367,831,1295],"clock_positions":[367,831,1295],"native_values":[169,582,169],"rotation_degrees":94.91379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,582,169],"beta":{"interval_sums":[184029,186507,192702],"interval_residues":[657,657,244],"display_cycle":[657,657,244],"intervals":[{"from_index":367,"to_index":831,"sum":184029,"residue":657},{"from_index":831,"to_index":1295,"sum":186507,"residue":657},{"from_index":1295,"to_index":367,"sum":192702,"residue":244}],"minimal_cycle":[657,657,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[367,831],"circle_positions":826,"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":[368,832,1296],"clock_positions":[368,832,1296],"native_values":[511,511,98],"rotation_degrees":95.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,511,98],"beta":{"interval_sums":[184100,186165,192773],"interval_residues":[728,315,315],"display_cycle":[728,315,315],"intervals":[{"from_index":368,"to_index":832,"sum":184100,"residue":728},{"from_index":832,"to_index":1296,"sum":186165,"residue":315},{"from_index":1296,"to_index":368,"sum":192773,"residue":315}],"minimal_cycle":[728,315,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[368,832],"circle_positions":826,"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":[369,833,1297],"clock_positions":[369,833,1297],"native_values":[680,267,267],"rotation_degrees":95.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[680,267,267],"beta":{"interval_sums":[183931,185996,193017],"interval_residues":[559,146,559],"display_cycle":[559,146,559],"intervals":[{"from_index":369,"to_index":833,"sum":183931,"residue":559},{"from_index":833,"to_index":1297,"sum":185996,"residue":146},{"from_index":1297,"to_index":369,"sum":193017,"residue":559}],"minimal_cycle":[559,146,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":559,"start_interval_clock_positions":[369,833],"circle_positions":826,"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":[370,834,1298],"clock_positions":[370,834,1298],"native_values":[365,778,365],"rotation_degrees":95.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,778,365],"beta":{"interval_sums":[183833,185485,193332],"interval_residues":[461,461,48],"display_cycle":[461,461,48],"intervals":[{"from_index":370,"to_index":834,"sum":183833,"residue":461},{"from_index":834,"to_index":1298,"sum":185485,"residue":461},{"from_index":1298,"to_index":370,"sum":193332,"residue":48}],"minimal_cycle":[461,461,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":461,"start_interval_clock_positions":[370,834],"circle_positions":826,"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":[371,835,1299],"clock_positions":[371,835,1299],"native_values":[219,219,632],"rotation_degrees":95.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,219,632],"beta":{"interval_sums":[184392,185631,193065],"interval_residues":[194,607,607],"display_cycle":[194,607,607],"intervals":[{"from_index":371,"to_index":835,"sum":184392,"residue":194},{"from_index":835,"to_index":1299,"sum":185631,"residue":607},{"from_index":1299,"to_index":371,"sum":193065,"residue":607}],"minimal_cycle":[194,607,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[371,835],"circle_positions":826,"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":[372,836,1300],"clock_positions":[372,836,1300],"native_values":[584,171,171],"rotation_degrees":96.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,171,171],"beta":{"interval_sums":[184027,186092,193113],"interval_residues":[655,242,655],"display_cycle":[655,242,655],"intervals":[{"from_index":372,"to_index":836,"sum":184027,"residue":655},{"from_index":836,"to_index":1300,"sum":186092,"residue":242},{"from_index":1300,"to_index":372,"sum":193113,"residue":655}],"minimal_cycle":[655,242,655],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[372,836],"circle_positions":826,"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":[373,837,1301],"clock_positions":[373,837,1301],"native_values":[803,390,803],"rotation_degrees":96.46551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,390,803],"beta":{"interval_sums":[183395,185873,192894],"interval_residues":[23,23,436],"display_cycle":[23,23,436],"intervals":[{"from_index":373,"to_index":837,"sum":183395,"residue":23},{"from_index":837,"to_index":1301,"sum":185873,"residue":23},{"from_index":1301,"to_index":373,"sum":192894,"residue":436}],"minimal_cycle":[23,23,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[373,837],"circle_positions":826,"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":[374,838,1302],"clock_positions":[374,838,1302],"native_values":[561,561,148],"rotation_degrees":96.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,561,148],"beta":{"interval_sums":[183224,186115,193549],"interval_residues":[678,265,265],"display_cycle":[678,265,265],"intervals":[{"from_index":374,"to_index":838,"sum":183224,"residue":678},{"from_index":838,"to_index":1302,"sum":186115,"residue":265},{"from_index":1302,"to_index":374,"sum":193549,"residue":265}],"minimal_cycle":[678,265,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[374,838],"circle_positions":826,"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":[375,839,1303],"clock_positions":[375,839,1303],"native_values":[538,125,125],"rotation_degrees":96.98275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,125,125],"beta":{"interval_sums":[183247,186138,193985],"interval_residues":[701,288,701],"display_cycle":[701,288,701],"intervals":[{"from_index":375,"to_index":839,"sum":183247,"residue":701},{"from_index":839,"to_index":1303,"sum":186138,"residue":288},{"from_index":1303,"to_index":375,"sum":193985,"residue":701}],"minimal_cycle":[701,288,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":701,"start_interval_clock_positions":[375,839],"circle_positions":826,"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":[376,840,1304],"clock_positions":[376,840,1304],"native_values":[273,686,273],"rotation_degrees":97.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,686,273],"beta":{"interval_sums":[183099,185577,194250],"interval_residues":[553,553,140],"display_cycle":[553,553,140],"intervals":[{"from_index":376,"to_index":840,"sum":183099,"residue":553},{"from_index":840,"to_index":1304,"sum":185577,"residue":553},{"from_index":1304,"to_index":376,"sum":194250,"residue":140}],"minimal_cycle":[553,553,140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":553,"start_interval_clock_positions":[376,840],"circle_positions":826,"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":[377,841,1305],"clock_positions":[377,841,1305],"native_values":[811,811,398],"rotation_degrees":97.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[811,811,398],"beta":{"interval_sums":[182974,185039,194125],"interval_residues":[428,15,15],"display_cycle":[428,15,15],"intervals":[{"from_index":377,"to_index":841,"sum":182974,"residue":428},{"from_index":841,"to_index":1305,"sum":185039,"residue":15},{"from_index":1305,"to_index":377,"sum":194125,"residue":15}],"minimal_cycle":[428,15,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[377,841],"circle_positions":826,"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":[378,842,1306],"clock_positions":[378,842,1306],"native_values":[258,671,671],"rotation_degrees":97.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,671,671],"beta":{"interval_sums":[183527,184766,194265],"interval_residues":[155,568,155],"display_cycle":[155,568,155],"intervals":[{"from_index":378,"to_index":842,"sum":183527,"residue":155},{"from_index":842,"to_index":1306,"sum":184766,"residue":568},{"from_index":1306,"to_index":378,"sum":194265,"residue":155}],"minimal_cycle":[155,568,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":155,"start_interval_clock_positions":[378,842],"circle_positions":826,"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":[379,843,1307],"clock_positions":[379,843,1307],"native_values":[243,656,243],"rotation_degrees":98.01724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,656,243],"beta":{"interval_sums":[183955,184781,194280],"interval_residues":[583,583,170],"display_cycle":[583,583,170],"intervals":[{"from_index":379,"to_index":843,"sum":183955,"residue":583},{"from_index":843,"to_index":1307,"sum":184781,"residue":583},{"from_index":1307,"to_index":379,"sum":194280,"residue":170}],"minimal_cycle":[583,583,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[379,843],"circle_positions":826,"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":[380,844,1308],"clock_positions":[380,844,1308],"native_values":[501,501,88],"rotation_degrees":98.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,88],"beta":{"interval_sums":[184110,184523,194435],"interval_residues":[738,325,325],"display_cycle":[738,325,325],"intervals":[{"from_index":380,"to_index":844,"sum":184110,"residue":738},{"from_index":844,"to_index":1308,"sum":184523,"residue":325},{"from_index":1308,"to_index":380,"sum":194435,"residue":325}],"minimal_cycle":[738,325,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[380,844],"circle_positions":826,"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":[381,845,1309],"clock_positions":[381,845,1309],"native_values":[744,331,331],"rotation_degrees":98.53448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,331,331],"beta":{"interval_sums":[183867,184280,194605],"interval_residues":[495,82,495],"display_cycle":[495,82,495],"intervals":[{"from_index":381,"to_index":845,"sum":183867,"residue":495},{"from_index":845,"to_index":1309,"sum":184280,"residue":82},{"from_index":1309,"to_index":381,"sum":194605,"residue":495}],"minimal_cycle":[495,82,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":495,"start_interval_clock_positions":[381,845],"circle_positions":826,"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":[382,846,1310],"clock_positions":[382,846,1310],"native_values":[419,6,419],"rotation_degrees":98.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,6,419],"beta":{"interval_sums":[183779,184605,194930],"interval_residues":[407,407,820],"display_cycle":[407,407,820],"intervals":[{"from_index":382,"to_index":846,"sum":183779,"residue":407},{"from_index":846,"to_index":1310,"sum":184605,"residue":407},{"from_index":1310,"to_index":382,"sum":194930,"residue":820}],"minimal_cycle":[407,407,820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[382,846],"circle_positions":826,"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":[383,847,1311],"clock_positions":[383,847,1311],"native_values":[337,337,750],"rotation_degrees":99.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,750],"beta":{"interval_sums":[183448,184687,194599],"interval_residues":[76,489,489],"display_cycle":[76,489,489],"intervals":[{"from_index":383,"to_index":847,"sum":183448,"residue":76},{"from_index":847,"to_index":1311,"sum":184687,"residue":489},{"from_index":1311,"to_index":383,"sum":194599,"residue":489}],"minimal_cycle":[76,489,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[383,847],"circle_positions":826,"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":[384,848,1312],"clock_positions":[384,848,1312],"native_values":[756,343,343],"rotation_degrees":99.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[756,343,343],"beta":{"interval_sums":[183029,185094,194593],"interval_residues":[483,70,483],"display_cycle":[483,70,483],"intervals":[{"from_index":384,"to_index":848,"sum":183029,"residue":483},{"from_index":848,"to_index":1312,"sum":185094,"residue":70},{"from_index":1312,"to_index":384,"sum":194593,"residue":483}],"minimal_cycle":[483,70,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[384,848],"circle_positions":826,"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":[385,849,1313],"clock_positions":[385,849,1313],"native_values":[267,680,267],"rotation_degrees":99.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,680,267],"beta":{"interval_sums":[183105,184757,195082],"interval_residues":[559,559,146],"display_cycle":[559,559,146],"intervals":[{"from_index":385,"to_index":849,"sum":183105,"residue":559},{"from_index":849,"to_index":1313,"sum":184757,"residue":559},{"from_index":1313,"to_index":385,"sum":195082,"residue":146}],"minimal_cycle":[559,559,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":559,"start_interval_clock_positions":[385,849],"circle_positions":826,"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":[386,850,1314],"clock_positions":[386,850,1314],"native_values":[197,197,610],"rotation_degrees":99.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,197,610],"beta":{"interval_sums":[183588,184827,194739],"interval_residues":[216,629,629],"display_cycle":[216,629,629],"intervals":[{"from_index":386,"to_index":850,"sum":183588,"residue":216},{"from_index":850,"to_index":1314,"sum":184827,"residue":629},{"from_index":1314,"to_index":386,"sum":194739,"residue":629}],"minimal_cycle":[216,629,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[386,850],"circle_positions":826,"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":[387,851,1315],"clock_positions":[387,851,1315],"native_values":[464,51,51],"rotation_degrees":100.08620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,51,51],"beta":{"interval_sums":[183321,185386,194885],"interval_residues":[775,362,775],"display_cycle":[775,362,775],"intervals":[{"from_index":387,"to_index":851,"sum":183321,"residue":775},{"from_index":851,"to_index":1315,"sum":185386,"residue":362},{"from_index":1315,"to_index":387,"sum":194885,"residue":775}],"minimal_cycle":[775,362,775],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":775,"start_interval_clock_positions":[387,851],"circle_positions":826,"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":[388,852,1316],"clock_positions":[388,852,1316],"native_values":[661,248,661],"rotation_degrees":100.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,248,661],"beta":{"interval_sums":[182711,185189,194688],"interval_residues":[165,165,578],"display_cycle":[165,165,578],"intervals":[{"from_index":388,"to_index":852,"sum":182711,"residue":165},{"from_index":852,"to_index":1316,"sum":185189,"residue":165},{"from_index":1316,"to_index":388,"sum":194688,"residue":578}],"minimal_cycle":[165,165,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[388,852],"circle_positions":826,"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":[389,853,1317],"clock_positions":[389,853,1317],"native_values":[299,299,712],"rotation_degrees":100.60344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,299,712],"beta":{"interval_sums":[182660,185551,194637],"interval_residues":[114,527,527],"display_cycle":[114,527,527],"intervals":[{"from_index":389,"to_index":853,"sum":182660,"residue":114},{"from_index":853,"to_index":1317,"sum":185551,"residue":527},{"from_index":1317,"to_index":389,"sum":194637,"residue":527}],"minimal_cycle":[114,527,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[389,853],"circle_positions":826,"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":[390,854,1318],"clock_positions":[390,854,1318],"native_values":[134,547,547],"rotation_degrees":100.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,547,547],"beta":{"interval_sums":[182825,185716,194389],"interval_residues":[279,692,279],"display_cycle":[279,692,279],"intervals":[{"from_index":390,"to_index":854,"sum":182825,"residue":279},{"from_index":854,"to_index":1318,"sum":185716,"residue":692},{"from_index":1318,"to_index":390,"sum":194389,"residue":279}],"minimal_cycle":[279,692,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[390,854],"circle_positions":826,"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":[391,855,1319],"clock_positions":[391,855,1319],"native_values":[433,20,433],"rotation_degrees":101.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,20,433],"beta":{"interval_sums":[182939,186243,194090],"interval_residues":[393,393,806],"display_cycle":[393,393,806],"intervals":[{"from_index":391,"to_index":855,"sum":182939,"residue":393},{"from_index":855,"to_index":1319,"sum":186243,"residue":393},{"from_index":1319,"to_index":391,"sum":194090,"residue":806}],"minimal_cycle":[393,393,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[391,855],"circle_positions":826,"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":[392,856,1320],"clock_positions":[392,856,1320],"native_values":[567,567,154],"rotation_degrees":101.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,567,154],"beta":{"interval_sums":[182392,186109,194369],"interval_residues":[672,259,259],"display_cycle":[672,259,259],"intervals":[{"from_index":392,"to_index":856,"sum":182392,"residue":672},{"from_index":856,"to_index":1320,"sum":186109,"residue":259},{"from_index":1320,"to_index":392,"sum":194369,"residue":259}],"minimal_cycle":[672,259,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[392,856],"circle_positions":826,"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":[393,857,1321],"clock_positions":[393,857,1321],"native_values":[174,587,587],"rotation_degrees":101.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,587,587],"beta":{"interval_sums":[182785,185676,194349],"interval_residues":[239,652,239],"display_cycle":[239,652,239],"intervals":[{"from_index":393,"to_index":857,"sum":182785,"residue":239},{"from_index":857,"to_index":1321,"sum":185676,"residue":652},{"from_index":1321,"to_index":393,"sum":194349,"residue":239}],"minimal_cycle":[239,652,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[393,857],"circle_positions":826,"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":[394,858,1322],"clock_positions":[394,858,1322],"native_values":[741,328,741],"rotation_degrees":101.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,328,741],"beta":{"interval_sums":[182631,185935,193782],"interval_residues":[85,85,498],"display_cycle":[85,85,498],"intervals":[{"from_index":394,"to_index":858,"sum":182631,"residue":85},{"from_index":858,"to_index":1322,"sum":185935,"residue":85},{"from_index":1322,"to_index":394,"sum":193782,"residue":498}],"minimal_cycle":[85,85,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[394,858],"circle_positions":826,"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":[395,859,1323],"clock_positions":[395,859,1323],"native_values":[89,89,502],"rotation_degrees":102.15517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,89,502],"beta":{"interval_sums":[182870,186587,194021],"interval_residues":[324,737,737],"display_cycle":[324,737,737],"intervals":[{"from_index":395,"to_index":859,"sum":182870,"residue":324},{"from_index":859,"to_index":1323,"sum":186587,"residue":737},{"from_index":1323,"to_index":395,"sum":194021,"residue":737}],"minimal_cycle":[324,737,737],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[395,859],"circle_positions":826,"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":[396,860,1324],"clock_positions":[396,860,1324],"native_values":[4,417,417],"rotation_degrees":102.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,417,417],"beta":{"interval_sums":[182955,186672,193693],"interval_residues":[409,822,409],"display_cycle":[409,822,409],"intervals":[{"from_index":396,"to_index":860,"sum":182955,"residue":409},{"from_index":860,"to_index":1324,"sum":186672,"residue":822},{"from_index":1324,"to_index":396,"sum":193693,"residue":409}],"minimal_cycle":[409,822,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[396,860],"circle_positions":826,"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":[397,861,1325],"clock_positions":[397,861,1325],"native_values":[93,506,93],"rotation_degrees":102.67241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,506,93],"beta":{"interval_sums":[183279,186583,193604],"interval_residues":[733,733,320],"display_cycle":[733,733,320],"intervals":[{"from_index":397,"to_index":861,"sum":183279,"residue":733},{"from_index":861,"to_index":1325,"sum":186583,"residue":733},{"from_index":1325,"to_index":397,"sum":193604,"residue":320}],"minimal_cycle":[733,733,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[397,861],"circle_positions":826,"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":[398,862,1326],"clock_positions":[398,862,1326],"native_values":[97,97,510],"rotation_degrees":102.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,97,510],"beta":{"interval_sums":[183688,186579,193187],"interval_residues":[316,729,729],"display_cycle":[316,729,729],"intervals":[{"from_index":398,"to_index":862,"sum":183688,"residue":316},{"from_index":862,"to_index":1326,"sum":186579,"residue":729},{"from_index":1326,"to_index":398,"sum":193187,"residue":729}],"minimal_cycle":[316,729,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[398,862],"circle_positions":826,"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":[399,863,1327],"clock_positions":[399,863,1327],"native_values":[190,603,603],"rotation_degrees":103.1896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,603,603],"beta":{"interval_sums":[183595,186486,192681],"interval_residues":[223,636,223],"display_cycle":[223,636,223],"intervals":[{"from_index":399,"to_index":863,"sum":183595,"residue":223},{"from_index":863,"to_index":1327,"sum":186486,"residue":636},{"from_index":1327,"to_index":399,"sum":192681,"residue":223}],"minimal_cycle":[223,636,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[399,863],"circle_positions":826,"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":[400,864,1328],"clock_positions":[400,864,1328],"native_values":[287,700,287],"rotation_degrees":103.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,700,287],"beta":{"interval_sums":[183911,186389,192584],"interval_residues":[539,539,126],"display_cycle":[539,539,126],"intervals":[{"from_index":400,"to_index":864,"sum":183911,"residue":539},{"from_index":864,"to_index":1328,"sum":186389,"residue":539},{"from_index":1328,"to_index":400,"sum":192584,"residue":126}],"minimal_cycle":[539,539,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[400,864],"circle_positions":826,"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":[401,865,1329],"clock_positions":[401,865,1329],"native_values":[477,477,64],"rotation_degrees":103.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,64],"beta":{"interval_sums":[184134,186199,192807],"interval_residues":[762,349,349],"display_cycle":[762,349,349],"intervals":[{"from_index":401,"to_index":865,"sum":184134,"residue":762},{"from_index":865,"to_index":1329,"sum":186199,"residue":349},{"from_index":1329,"to_index":401,"sum":192807,"residue":349}],"minimal_cycle":[762,349,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[401,865],"circle_positions":826,"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":[402,866,1330],"clock_positions":[402,866,1330],"native_values":[764,351,351],"rotation_degrees":103.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,351,351],"beta":{"interval_sums":[183847,185912,192933],"interval_residues":[475,62,475],"display_cycle":[475,62,475],"intervals":[{"from_index":402,"to_index":866,"sum":183847,"residue":475},{"from_index":866,"to_index":1330,"sum":185912,"residue":62},{"from_index":1330,"to_index":402,"sum":192933,"residue":475}],"minimal_cycle":[475,62,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[402,866],"circle_positions":826,"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":[403,867,1331],"clock_positions":[403,867,1331],"native_values":[415,2,415],"rotation_degrees":104.22413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,2,415],"beta":{"interval_sums":[183783,186261,193282],"interval_residues":[411,411,824],"display_cycle":[411,411,824],"intervals":[{"from_index":403,"to_index":867,"sum":183783,"residue":411},{"from_index":867,"to_index":1331,"sum":186261,"residue":411},{"from_index":1331,"to_index":403,"sum":193282,"residue":824}],"minimal_cycle":[411,411,824],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[403,867],"circle_positions":826,"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":[404,868,1332],"clock_positions":[404,868,1332],"native_values":[353,353,766],"rotation_degrees":104.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,353,766],"beta":{"interval_sums":[183432,186323,192931],"interval_residues":[60,473,473],"display_cycle":[60,473,473],"intervals":[{"from_index":404,"to_index":868,"sum":183432,"residue":60},{"from_index":868,"to_index":1332,"sum":186323,"residue":473},{"from_index":1332,"to_index":404,"sum":192931,"residue":473}],"minimal_cycle":[60,473,473],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[404,868],"circle_positions":826,"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":[405,869,1333],"clock_positions":[405,869,1333],"native_values":[768,355,355],"rotation_degrees":104.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,355,355],"beta":{"interval_sums":[183017,186734,192929],"interval_residues":[471,58,471],"display_cycle":[471,58,471],"intervals":[{"from_index":405,"to_index":869,"sum":183017,"residue":471},{"from_index":869,"to_index":1333,"sum":186734,"residue":58},{"from_index":1333,"to_index":405,"sum":192929,"residue":471}],"minimal_cycle":[471,58,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[405,869],"circle_positions":826,"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":[406,870,1334],"clock_positions":[406,870,1334],"native_values":[295,708,295],"rotation_degrees":105.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,708,295],"beta":{"interval_sums":[183077,186381,193402],"interval_residues":[531,531,118],"display_cycle":[531,531,118],"intervals":[{"from_index":406,"to_index":870,"sum":183077,"residue":531},{"from_index":870,"to_index":1334,"sum":186381,"residue":531},{"from_index":1334,"to_index":406,"sum":193402,"residue":118}],"minimal_cycle":[531,531,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":531,"start_interval_clock_positions":[406,870],"circle_positions":826,"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":[407,871,1335],"clock_positions":[407,871,1335],"native_values":[237,237,650],"rotation_degrees":105.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,237,650],"beta":{"interval_sums":[183548,186439,193047],"interval_residues":[176,589,589],"display_cycle":[176,589,589],"intervals":[{"from_index":407,"to_index":871,"sum":183548,"residue":176},{"from_index":871,"to_index":1335,"sum":186439,"residue":589},{"from_index":1335,"to_index":407,"sum":193047,"residue":589}],"minimal_cycle":[176,589,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[407,871],"circle_positions":826,"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":[408,872,1336],"clock_positions":[408,872,1336],"native_values":[532,119,119],"rotation_degrees":105.51724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,119,119],"beta":{"interval_sums":[183253,186970,193165],"interval_residues":[707,294,707],"display_cycle":[707,294,707],"intervals":[{"from_index":408,"to_index":872,"sum":183253,"residue":707},{"from_index":872,"to_index":1336,"sum":186970,"residue":294},{"from_index":1336,"to_index":408,"sum":193165,"residue":707}],"minimal_cycle":[707,294,707],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[408,872],"circle_positions":826,"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":[409,873,1337],"clock_positions":[409,873,1337],"native_values":[769,356,769],"rotation_degrees":105.77586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,356,769],"beta":{"interval_sums":[182603,186733,192928],"interval_residues":[57,57,470],"display_cycle":[57,57,470],"intervals":[{"from_index":409,"to_index":873,"sum":182603,"residue":57},{"from_index":873,"to_index":1337,"sum":186733,"residue":57},{"from_index":1337,"to_index":409,"sum":192928,"residue":470}],"minimal_cycle":[57,57,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[409,873],"circle_positions":826,"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":[410,874,1338],"clock_positions":[410,874,1338],"native_values":[475,475,62],"rotation_degrees":106.03448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,475,62],"beta":{"interval_sums":[182484,187027,193635],"interval_residues":[764,351,351],"display_cycle":[764,351,351],"intervals":[{"from_index":410,"to_index":874,"sum":182484,"residue":764},{"from_index":874,"to_index":1338,"sum":187027,"residue":351},{"from_index":1338,"to_index":410,"sum":193635,"residue":351}],"minimal_cycle":[764,351,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[410,874],"circle_positions":826,"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":[411,875,1339],"clock_positions":[411,875,1339],"native_values":[418,5,5],"rotation_degrees":106.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,5,5],"beta":{"interval_sums":[182541,187084,194105],"interval_residues":[821,408,821],"display_cycle":[821,408,821],"intervals":[{"from_index":411,"to_index":875,"sum":182541,"residue":821},{"from_index":875,"to_index":1339,"sum":187084,"residue":408},{"from_index":1339,"to_index":411,"sum":194105,"residue":821}],"minimal_cycle":[821,408,821],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":821,"start_interval_clock_positions":[411,875],"circle_positions":826,"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":[412,876,1340],"clock_positions":[412,876,1340],"native_values":[67,480,67],"rotation_degrees":106.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,480,67],"beta":{"interval_sums":[182479,186609,194456],"interval_residues":[759,759,346],"display_cycle":[759,759,346],"intervals":[{"from_index":412,"to_index":876,"sum":182479,"residue":759},{"from_index":876,"to_index":1340,"sum":186609,"residue":759},{"from_index":1340,"to_index":412,"sum":194456,"residue":346}],"minimal_cycle":[759,759,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":759,"start_interval_clock_positions":[412,876],"circle_positions":826,"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":[413,877,1341],"clock_positions":[413,877,1341],"native_values":[485,485,72],"rotation_degrees":106.8103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,485,72],"beta":{"interval_sums":[182474,186191,194451],"interval_residues":[754,341,341],"display_cycle":[754,341,341],"intervals":[{"from_index":413,"to_index":877,"sum":182474,"residue":754},{"from_index":877,"to_index":1341,"sum":186191,"residue":341},{"from_index":1341,"to_index":413,"sum":194451,"residue":341}],"minimal_cycle":[754,341,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":754,"start_interval_clock_positions":[413,877],"circle_positions":826,"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":[414,878,1342],"clock_positions":[414,878,1342],"native_values":[552,139,139],"rotation_degrees":107.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[552,139,139],"beta":{"interval_sums":[182407,186124,194797],"interval_residues":[687,274,687],"display_cycle":[687,274,687],"intervals":[{"from_index":414,"to_index":878,"sum":182407,"residue":687},{"from_index":878,"to_index":1342,"sum":186124,"residue":274},{"from_index":1342,"to_index":414,"sum":194797,"residue":687}],"minimal_cycle":[687,274,687],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":687,"start_interval_clock_positions":[414,878],"circle_positions":826,"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":[415,879,1343],"clock_positions":[415,879,1343],"native_values":[211,624,211],"rotation_degrees":107.32758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,624,211],"beta":{"interval_sums":[182335,185639,195138],"interval_residues":[615,615,202],"display_cycle":[615,615,202],"intervals":[{"from_index":415,"to_index":879,"sum":182335,"residue":615},{"from_index":879,"to_index":1343,"sum":185639,"residue":615},{"from_index":1343,"to_index":415,"sum":195138,"residue":202}],"minimal_cycle":[615,615,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[415,879],"circle_positions":826,"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":[416,880,1344],"clock_positions":[416,880,1344],"native_values":[763,763,350],"rotation_degrees":107.58620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[763,763,350],"beta":{"interval_sums":[182196,185087,194999],"interval_residues":[476,63,63],"display_cycle":[476,63,63],"intervals":[{"from_index":416,"to_index":880,"sum":182196,"residue":476},{"from_index":880,"to_index":1344,"sum":185087,"residue":63},{"from_index":1344,"to_index":416,"sum":194999,"residue":63}],"minimal_cycle":[476,63,63],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[416,880],"circle_positions":826,"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":[417,881,1345],"clock_positions":[417,881,1345],"native_values":[148,561,561],"rotation_degrees":107.84482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,561,561],"beta":{"interval_sums":[182811,184876,195201],"interval_residues":[265,678,265],"display_cycle":[265,678,265],"intervals":[{"from_index":417,"to_index":881,"sum":182811,"residue":265},{"from_index":881,"to_index":1345,"sum":184876,"residue":678},{"from_index":1345,"to_index":417,"sum":195201,"residue":265}],"minimal_cycle":[265,678,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[417,881],"circle_positions":826,"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":[418,882,1346],"clock_positions":[418,882,1346],"native_values":[85,498,85],"rotation_degrees":108.10344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,498,85],"beta":{"interval_sums":[183287,184939,195264],"interval_residues":[741,741,328],"display_cycle":[741,741,328],"intervals":[{"from_index":418,"to_index":882,"sum":183287,"residue":741},{"from_index":882,"to_index":1346,"sum":184939,"residue":741},{"from_index":1346,"to_index":418,"sum":195264,"residue":328}],"minimal_cycle":[741,741,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[418,882],"circle_positions":826,"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":[419,883,1347],"clock_positions":[419,883,1347],"native_values":[233,233,646],"rotation_degrees":108.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,646],"beta":{"interval_sums":[183552,184791,194703],"interval_residues":[180,593,593],"display_cycle":[180,593,593],"intervals":[{"from_index":419,"to_index":883,"sum":183552,"residue":180},{"from_index":883,"to_index":1347,"sum":184791,"residue":593},{"from_index":1347,"to_index":419,"sum":194703,"residue":593}],"minimal_cycle":[180,593,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[419,883],"circle_positions":826,"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":[420,884,1348],"clock_positions":[420,884,1348],"native_values":[318,731,731],"rotation_degrees":108.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,731,731],"beta":{"interval_sums":[183467,184706,194205],"interval_residues":[95,508,95],"display_cycle":[95,508,95],"intervals":[{"from_index":420,"to_index":884,"sum":183467,"residue":95},{"from_index":884,"to_index":1348,"sum":184706,"residue":508},{"from_index":1348,"to_index":420,"sum":194205,"residue":95}],"minimal_cycle":[95,508,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[420,884],"circle_positions":826,"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":[421,885,1349],"clock_positions":[421,885,1349],"native_values":[551,138,551],"rotation_degrees":108.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,138,551],"beta":{"interval_sums":[183647,185299,193972],"interval_residues":[275,275,688],"display_cycle":[275,275,688],"intervals":[{"from_index":421,"to_index":885,"sum":183647,"residue":275},{"from_index":885,"to_index":1349,"sum":185299,"residue":275},{"from_index":1349,"to_index":421,"sum":193972,"residue":688}],"minimal_cycle":[275,275,688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[421,885],"circle_positions":826,"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":[422,886,1350],"clock_positions":[422,886,1350],"native_values":[43,43,456],"rotation_degrees":109.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,43,456],"beta":{"interval_sums":[183742,185807,194067],"interval_residues":[370,783,783],"display_cycle":[370,783,783],"intervals":[{"from_index":422,"to_index":886,"sum":183742,"residue":370},{"from_index":886,"to_index":1350,"sum":185807,"residue":783},{"from_index":1350,"to_index":422,"sum":194067,"residue":783}],"minimal_cycle":[370,783,783],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[422,886],"circle_positions":826,"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":[423,887,1351],"clock_positions":[423,887,1351],"native_values":[594,181,181],"rotation_degrees":109.39655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,181,181],"beta":{"interval_sums":[183191,186082,193929],"interval_residues":[645,232,645],"display_cycle":[645,232,645],"intervals":[{"from_index":423,"to_index":887,"sum":183191,"residue":645},{"from_index":887,"to_index":1351,"sum":186082,"residue":232},{"from_index":1351,"to_index":423,"sum":193929,"residue":645}],"minimal_cycle":[645,232,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[423,887],"circle_positions":826,"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":[424,888,1352],"clock_positions":[424,888,1352],"native_values":[637,224,637],"rotation_degrees":109.65517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,224,637],"beta":{"interval_sums":[182735,186039,193886],"interval_residues":[189,189,602],"display_cycle":[189,189,602],"intervals":[{"from_index":424,"to_index":888,"sum":182735,"residue":189},{"from_index":888,"to_index":1352,"sum":186039,"residue":189},{"from_index":1352,"to_index":424,"sum":193886,"residue":602}],"minimal_cycle":[189,189,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":189,"start_interval_clock_positions":[424,888],"circle_positions":826,"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":[425,889,1353],"clock_positions":[425,889,1353],"native_values":[405,405,818],"rotation_degrees":109.91379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,818],"beta":{"interval_sums":[182554,186271,193705],"interval_residues":[8,421,421],"display_cycle":[8,421,421],"intervals":[{"from_index":425,"to_index":889,"sum":182554,"residue":8},{"from_index":889,"to_index":1353,"sum":186271,"residue":421},{"from_index":1353,"to_index":425,"sum":193705,"residue":421}],"minimal_cycle":[8,421,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[425,889],"circle_positions":826,"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":[426,890,1354],"clock_positions":[426,890,1354],"native_values":[216,629,629],"rotation_degrees":110.17241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,629,629],"beta":{"interval_sums":[182743,186460,193481],"interval_residues":[197,610,197],"display_cycle":[197,610,197],"intervals":[{"from_index":426,"to_index":890,"sum":182743,"residue":197},{"from_index":890,"to_index":1354,"sum":186460,"residue":610},{"from_index":1354,"to_index":426,"sum":193481,"residue":197}],"minimal_cycle":[197,610,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[426,890],"circle_positions":826,"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":[427,891,1355],"clock_positions":[427,891,1355],"native_values":[621,208,621],"rotation_degrees":110.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,208,621],"beta":{"interval_sums":[182751,186881,193076],"interval_residues":[205,205,618],"display_cycle":[205,205,618],"intervals":[{"from_index":427,"to_index":891,"sum":182751,"residue":205},{"from_index":891,"to_index":1355,"sum":186881,"residue":205},{"from_index":1355,"to_index":427,"sum":193076,"residue":618}],"minimal_cycle":[205,205,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[427,891],"circle_positions":826,"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":[428,892,1356],"clock_positions":[428,892,1356],"native_values":[11,11,424],"rotation_degrees":110.6896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,11,424],"beta":{"interval_sums":[182948,187491,193273],"interval_residues":[402,815,815],"display_cycle":[402,815,815],"intervals":[{"from_index":428,"to_index":892,"sum":182948,"residue":402},{"from_index":892,"to_index":1356,"sum":187491,"residue":815},{"from_index":1356,"to_index":428,"sum":193273,"residue":815}],"minimal_cycle":[402,815,815],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[428,892],"circle_positions":826,"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":[429,893,1357],"clock_positions":[429,893,1357],"native_values":[632,219,219],"rotation_degrees":110.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,219,219],"beta":{"interval_sums":[182327,187696,193065],"interval_residues":[607,194,607],"display_cycle":[607,194,607],"intervals":[{"from_index":429,"to_index":893,"sum":182327,"residue":607},{"from_index":893,"to_index":1357,"sum":187696,"residue":194},{"from_index":1357,"to_index":429,"sum":193065,"residue":607}],"minimal_cycle":[607,194,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":607,"start_interval_clock_positions":[429,893],"circle_positions":826,"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":[430,894,1358],"clock_positions":[430,894,1358],"native_values":[643,230,643],"rotation_degrees":111.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,230,643],"beta":{"interval_sums":[181903,187685,193054],"interval_residues":[183,183,596],"display_cycle":[183,183,596],"intervals":[{"from_index":430,"to_index":894,"sum":181903,"residue":183},{"from_index":894,"to_index":1358,"sum":187685,"residue":183},{"from_index":1358,"to_index":430,"sum":193054,"residue":596}],"minimal_cycle":[183,183,596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[430,894],"circle_positions":826,"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":[431,895,1359],"clock_positions":[431,895,1359],"native_values":[449,449,36],"rotation_degrees":111.46551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,449,36],"beta":{"interval_sums":[181684,187879,193661],"interval_residues":[790,377,377],"display_cycle":[790,377,377],"intervals":[{"from_index":431,"to_index":895,"sum":181684,"residue":790},{"from_index":895,"to_index":1359,"sum":187879,"residue":377},{"from_index":1359,"to_index":431,"sum":193661,"residue":377}],"minimal_cycle":[790,377,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[431,895],"circle_positions":826,"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":[432,896,1360],"clock_positions":[432,896,1360],"native_values":[266,679,679],"rotation_degrees":111.72413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,679,679],"beta":{"interval_sums":[181867,187236,193431],"interval_residues":[147,560,147],"display_cycle":[147,560,147],"intervals":[{"from_index":432,"to_index":896,"sum":181867,"residue":147},{"from_index":896,"to_index":1360,"sum":187236,"residue":560},{"from_index":1360,"to_index":432,"sum":193431,"residue":147}],"minimal_cycle":[147,560,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[432,896],"circle_positions":826,"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":[433,897,1361],"clock_positions":[433,897,1361],"native_values":[715,302,715],"rotation_degrees":111.98275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,302,715],"beta":{"interval_sums":[181831,187613,192982],"interval_residues":[111,111,524],"display_cycle":[111,111,524],"intervals":[{"from_index":433,"to_index":897,"sum":181831,"residue":111},{"from_index":897,"to_index":1361,"sum":187613,"residue":111},{"from_index":1361,"to_index":433,"sum":192982,"residue":524}],"minimal_cycle":[111,111,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[433,897],"circle_positions":826,"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":[434,898,1362],"clock_positions":[434,898,1362],"native_values":[155,155,568],"rotation_degrees":112.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,155,568],"beta":{"interval_sums":[181978,188173,193129],"interval_residues":[258,671,671],"display_cycle":[258,671,671],"intervals":[{"from_index":434,"to_index":898,"sum":181978,"residue":258},{"from_index":898,"to_index":1362,"sum":188173,"residue":671},{"from_index":1362,"to_index":434,"sum":193129,"residue":671}],"minimal_cycle":[258,671,671],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[434,898],"circle_positions":826,"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":[435,899,1363],"clock_positions":[435,899,1363],"native_values":[44,457,457],"rotation_degrees":112.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,457,457],"beta":{"interval_sums":[182089,188284,192827],"interval_residues":[369,782,369],"display_cycle":[369,782,369],"intervals":[{"from_index":435,"to_index":899,"sum":182089,"residue":369},{"from_index":899,"to_index":1363,"sum":188284,"residue":782},{"from_index":1363,"to_index":435,"sum":192827,"residue":369}],"minimal_cycle":[369,782,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":369,"start_interval_clock_positions":[435,899],"circle_positions":826,"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":[436,900,1364],"clock_positions":[436,900,1364],"native_values":[199,612,199],"rotation_degrees":112.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,612,199],"beta":{"interval_sums":[182347,188129,192672],"interval_residues":[627,627,214],"display_cycle":[627,627,214],"intervals":[{"from_index":436,"to_index":900,"sum":182347,"residue":627},{"from_index":900,"to_index":1364,"sum":188129,"residue":627},{"from_index":1364,"to_index":436,"sum":192672,"residue":214}],"minimal_cycle":[627,627,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":627,"start_interval_clock_positions":[436,900],"circle_positions":826,"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":[437,901,1365],"clock_positions":[437,901,1365],"native_values":[243,243,656],"rotation_degrees":113.01724137931035,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,656],"beta":{"interval_sums":[182716,188085,192215],"interval_residues":[170,583,583],"display_cycle":[170,583,583],"intervals":[{"from_index":437,"to_index":901,"sum":182716,"residue":170},{"from_index":901,"to_index":1365,"sum":188085,"residue":583},{"from_index":1365,"to_index":437,"sum":192215,"residue":583}],"minimal_cycle":[170,583,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[437,901],"circle_positions":826,"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":[438,902,1366],"clock_positions":[438,902,1366],"native_values":[442,29,29],"rotation_degrees":113.27586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[442,29,29],"beta":{"interval_sums":[182517,188712,192429],"interval_residues":[797,384,797],"display_cycle":[797,384,797],"intervals":[{"from_index":438,"to_index":902,"sum":182517,"residue":797},{"from_index":902,"to_index":1366,"sum":188712,"residue":384},{"from_index":1366,"to_index":438,"sum":192429,"residue":797}],"minimal_cycle":[797,384,797],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":797,"start_interval_clock_positions":[438,902],"circle_positions":826,"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":[439,903,1367],"clock_positions":[439,903,1367],"native_values":[685,272,685],"rotation_degrees":113.53448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,272,685],"beta":{"interval_sums":[181861,188469,192186],"interval_residues":[141,141,554],"display_cycle":[141,141,554],"intervals":[{"from_index":439,"to_index":903,"sum":181861,"residue":141},{"from_index":903,"to_index":1367,"sum":188469,"residue":141},{"from_index":1367,"to_index":439,"sum":192186,"residue":554}],"minimal_cycle":[141,141,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[439,903],"circle_positions":826,"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":[440,904,1368],"clock_positions":[440,904,1368],"native_values":[301,301,714],"rotation_degrees":113.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,301,714],"beta":{"interval_sums":[181832,188853,192157],"interval_residues":[112,525,525],"display_cycle":[112,525,525],"intervals":[{"from_index":440,"to_index":904,"sum":181832,"residue":112},{"from_index":904,"to_index":1368,"sum":188853,"residue":525},{"from_index":1368,"to_index":440,"sum":192157,"residue":525}],"minimal_cycle":[112,525,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[440,904],"circle_positions":826,"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":[441,905,1369],"clock_positions":[441,905,1369],"native_values":[160,573,573],"rotation_degrees":114.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[160,573,573],"beta":{"interval_sums":[181973,188994,191885],"interval_residues":[253,666,253],"display_cycle":[253,666,253],"intervals":[{"from_index":441,"to_index":905,"sum":181973,"residue":253},{"from_index":905,"to_index":1369,"sum":188994,"residue":666},{"from_index":1369,"to_index":441,"sum":191885,"residue":253}],"minimal_cycle":[253,666,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[441,905],"circle_positions":826,"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":[442,906,1370],"clock_positions":[442,906,1370],"native_values":[461,48,461],"rotation_degrees":114.3103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,48,461],"beta":{"interval_sums":[182085,189519,191584],"interval_residues":[365,365,778],"display_cycle":[365,365,778],"intervals":[{"from_index":442,"to_index":906,"sum":182085,"residue":365},{"from_index":906,"to_index":1370,"sum":189519,"residue":365},{"from_index":1370,"to_index":442,"sum":191584,"residue":778}],"minimal_cycle":[365,365,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[442,906],"circle_positions":826,"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":[443,907,1371],"clock_positions":[443,907,1371],"native_values":[621,621,208],"rotation_degrees":114.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,621,208],"beta":{"interval_sums":[181512,189359,191837],"interval_residues":[618,205,205],"display_cycle":[618,205,205],"intervals":[{"from_index":443,"to_index":907,"sum":181512,"residue":618},{"from_index":907,"to_index":1371,"sum":189359,"residue":205},{"from_index":1371,"to_index":443,"sum":191837,"residue":205}],"minimal_cycle":[618,205,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[443,907],"circle_positions":826,"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":[444,908,1372],"clock_positions":[444,908,1372],"native_values":[256,669,669],"rotation_degrees":114.82758620689656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,669,669],"beta":{"interval_sums":[181877,188898,191789],"interval_residues":[157,570,157],"display_cycle":[157,570,157],"intervals":[{"from_index":444,"to_index":908,"sum":181877,"residue":157},{"from_index":908,"to_index":1372,"sum":188898,"residue":570},{"from_index":1372,"to_index":444,"sum":191789,"residue":157}],"minimal_cycle":[157,570,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[444,908],"circle_positions":826,"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":[445,909,1373],"clock_positions":[445,909,1373],"native_values":[51,464,51],"rotation_degrees":115.08620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,464,51],"beta":{"interval_sums":[182495,189103,191994],"interval_residues":[775,775,362],"display_cycle":[775,775,362],"intervals":[{"from_index":445,"to_index":909,"sum":182495,"residue":775},{"from_index":909,"to_index":1373,"sum":189103,"residue":775},{"from_index":1373,"to_index":445,"sum":191994,"residue":362}],"minimal_cycle":[775,775,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":775,"start_interval_clock_positions":[445,909],"circle_positions":826,"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":[446,910,1374],"clock_positions":[446,910,1374],"native_values":[307,307,720],"rotation_degrees":115.34482758620689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,307,720],"beta":{"interval_sums":[182652,188847,191325],"interval_residues":[106,519,519],"display_cycle":[106,519,519],"intervals":[{"from_index":446,"to_index":910,"sum":182652,"residue":106},{"from_index":910,"to_index":1374,"sum":188847,"residue":519},{"from_index":1374,"to_index":446,"sum":191325,"residue":519}],"minimal_cycle":[106,519,519],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[446,910],"circle_positions":826,"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":[447,911,1375],"clock_positions":[447,911,1375],"native_values":[358,771,771],"rotation_degrees":115.60344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,771,771],"beta":{"interval_sums":[182601,188796,190861],"interval_residues":[55,468,55],"display_cycle":[55,468,55],"intervals":[{"from_index":447,"to_index":911,"sum":182601,"residue":55},{"from_index":911,"to_index":1375,"sum":188796,"residue":468},{"from_index":1375,"to_index":447,"sum":190861,"residue":55}],"minimal_cycle":[55,468,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[447,911],"circle_positions":826,"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":[448,912,1376],"clock_positions":[448,912,1376],"native_values":[665,252,665],"rotation_degrees":115.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,252,665],"beta":{"interval_sums":[182707,189315,190554],"interval_residues":[161,161,574],"display_cycle":[161,161,574],"intervals":[{"from_index":448,"to_index":912,"sum":182707,"residue":161},{"from_index":912,"to_index":1376,"sum":189315,"residue":161},{"from_index":1376,"to_index":448,"sum":190554,"residue":574}],"minimal_cycle":[161,161,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":161,"start_interval_clock_positions":[448,912],"circle_positions":826,"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":[449,913,1377],"clock_positions":[449,913,1377],"native_values":[197,197,610],"rotation_degrees":116.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,197,610],"beta":{"interval_sums":[182762,189783,190609],"interval_residues":[216,629,629],"display_cycle":[216,629,629],"intervals":[{"from_index":449,"to_index":913,"sum":182762,"residue":216},{"from_index":913,"to_index":1377,"sum":189783,"residue":629},{"from_index":1377,"to_index":449,"sum":190609,"residue":629}],"minimal_cycle":[216,629,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[449,913],"circle_positions":826,"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":[450,914,1378],"clock_positions":[450,914,1378],"native_values":[36,449,449],"rotation_degrees":116.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,449,449],"beta":{"interval_sums":[182923,189944,190357],"interval_residues":[377,790,377],"display_cycle":[377,790,377],"intervals":[{"from_index":450,"to_index":914,"sum":182923,"residue":377},{"from_index":914,"to_index":1378,"sum":189944,"residue":790},{"from_index":1378,"to_index":450,"sum":190357,"residue":377}],"minimal_cycle":[377,790,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[450,914],"circle_positions":826,"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":[451,915,1379],"clock_positions":[451,915,1379],"native_values":[233,646,233],"rotation_degrees":116.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,646,233],"beta":{"interval_sums":[183139,189747,190160],"interval_residues":[593,593,180],"display_cycle":[593,593,180],"intervals":[{"from_index":451,"to_index":915,"sum":183139,"residue":593},{"from_index":915,"to_index":1379,"sum":189747,"residue":593},{"from_index":1379,"to_index":451,"sum":190160,"residue":180}],"minimal_cycle":[593,593,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[451,915],"circle_positions":826,"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":[452,916,1380],"clock_positions":[452,916,1380],"native_values":[269,269,682],"rotation_degrees":116.89655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,269,682],"beta":{"interval_sums":[183516,189711,189711],"interval_residues":[144,557,557],"display_cycle":[144,557,557],"intervals":[{"from_index":452,"to_index":916,"sum":183516,"residue":144},{"from_index":916,"to_index":1380,"sum":189711,"residue":557},{"from_index":1380,"to_index":452,"sum":189711,"residue":557}],"minimal_cycle":[144,557,557],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[452,916],"circle_positions":826,"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":[453,917,1381],"clock_positions":[453,917,1381],"native_values":[502,89,89],"rotation_degrees":117.15517241379311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,89,89],"beta":{"interval_sums":[183283,190304,189891],"interval_residues":[737,324,737],"display_cycle":[737,324,737],"intervals":[{"from_index":453,"to_index":917,"sum":183283,"residue":737},{"from_index":917,"to_index":1381,"sum":190304,"residue":324},{"from_index":1381,"to_index":453,"sum":189891,"residue":737}],"minimal_cycle":[737,324,737],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":737,"start_interval_clock_positions":[453,917],"circle_positions":826,"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":[454,918,1382],"clock_positions":[454,918,1382],"native_values":[771,358,771],"rotation_degrees":117.41379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,358,771],"beta":{"interval_sums":[182601,190035,189622],"interval_residues":[55,55,468],"display_cycle":[55,55,468],"intervals":[{"from_index":454,"to_index":918,"sum":182601,"residue":55},{"from_index":918,"to_index":1382,"sum":190035,"residue":55},{"from_index":1382,"to_index":454,"sum":189622,"residue":468}],"minimal_cycle":[55,55,468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[454,918],"circle_positions":826,"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":[455,919,1383],"clock_positions":[455,919,1383],"native_values":[447,447,34],"rotation_degrees":117.67241379310344,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,447,34],"beta":{"interval_sums":[182512,190359,190359],"interval_residues":[792,379,379],"display_cycle":[792,379,379],"intervals":[{"from_index":455,"to_index":919,"sum":182512,"residue":792},{"from_index":919,"to_index":1383,"sum":190359,"residue":379},{"from_index":1383,"to_index":455,"sum":190359,"residue":379}],"minimal_cycle":[792,379,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[455,919],"circle_positions":826,"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":[456,920,1384],"clock_positions":[456,920,1384],"native_values":[392,805,805],"rotation_degrees":117.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[392,805,805],"beta":{"interval_sums":[182567,189588,190001],"interval_residues":[21,434,21],"display_cycle":[21,434,21],"intervals":[{"from_index":456,"to_index":920,"sum":182567,"residue":21},{"from_index":920,"to_index":1384,"sum":189588,"residue":434},{"from_index":1384,"to_index":456,"sum":190001,"residue":21}],"minimal_cycle":[21,434,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[456,920],"circle_positions":826,"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":[457,921,1385],"clock_positions":[457,921,1385],"native_values":[13,426,13],"rotation_degrees":118.1896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,426,13],"beta":{"interval_sums":[183359,189967,190380],"interval_residues":[813,813,400],"display_cycle":[813,813,400],"intervals":[{"from_index":457,"to_index":921,"sum":183359,"residue":813},{"from_index":921,"to_index":1385,"sum":189967,"residue":813},{"from_index":1385,"to_index":457,"sum":190380,"residue":400}],"minimal_cycle":[813,813,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":813,"start_interval_clock_positions":[457,921],"circle_positions":826,"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":[458,922,1386],"clock_positions":[458,922,1386],"native_values":[405,405,818],"rotation_degrees":118.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,818],"beta":{"interval_sums":[183380,189575,189575],"interval_residues":[8,421,421],"display_cycle":[8,421,421],"intervals":[{"from_index":458,"to_index":922,"sum":183380,"residue":8},{"from_index":922,"to_index":1386,"sum":189575,"residue":421},{"from_index":1386,"to_index":458,"sum":189575,"residue":421}],"minimal_cycle":[8,421,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[458,922],"circle_positions":826,"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":[459,923,1387],"clock_positions":[459,923,1387],"native_values":[418,5,5],"rotation_degrees":118.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,5,5],"beta":{"interval_sums":[183367,190388,189975],"interval_residues":[821,408,821],"display_cycle":[821,408,821],"intervals":[{"from_index":459,"to_index":923,"sum":183367,"residue":821},{"from_index":923,"to_index":1387,"sum":190388,"residue":408},{"from_index":1387,"to_index":459,"sum":189975,"residue":821}],"minimal_cycle":[821,408,821],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":821,"start_interval_clock_positions":[459,923],"circle_positions":826,"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":[460,924,1388],"clock_positions":[460,924,1388],"native_values":[823,410,823],"rotation_degrees":118.96551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[823,410,823],"beta":{"interval_sums":[182549,189983,189570],"interval_residues":[3,3,416],"display_cycle":[3,3,416],"intervals":[{"from_index":460,"to_index":924,"sum":182549,"residue":3},{"from_index":924,"to_index":1388,"sum":189983,"residue":3},{"from_index":1388,"to_index":460,"sum":189570,"residue":416}],"minimal_cycle":[3,3,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[460,924],"circle_positions":826,"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":[461,925,1389],"clock_positions":[461,925,1389],"native_values":[415,415,2],"rotation_degrees":119.22413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,415,2],"beta":{"interval_sums":[182544,190391,190391],"interval_residues":[824,411,411],"display_cycle":[824,411,411],"intervals":[{"from_index":461,"to_index":925,"sum":182544,"residue":824},{"from_index":925,"to_index":1389,"sum":190391,"residue":411},{"from_index":1389,"to_index":461,"sum":190391,"residue":411}],"minimal_cycle":[824,411,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":824,"start_interval_clock_positions":[461,925],"circle_positions":826,"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":[462,926,1390],"clock_positions":[462,926,1390],"native_values":[412,825,825],"rotation_degrees":119.48275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,825,825],"beta":{"interval_sums":[182547,189568,189981],"interval_residues":[1,414,1],"display_cycle":[1,414,1],"intervals":[{"from_index":462,"to_index":926,"sum":182547,"residue":1},{"from_index":926,"to_index":1390,"sum":189568,"residue":414},{"from_index":1390,"to_index":462,"sum":189981,"residue":1}],"minimal_cycle":[1,414,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[462,926],"circle_positions":826,"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":[463,927,1391],"clock_positions":[463,927,1391],"native_values":[1,414,1],"rotation_degrees":119.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,414,1],"beta":{"interval_sums":[183371,189979,190392],"interval_residues":[825,825,412],"display_cycle":[825,825,412],"intervals":[{"from_index":463,"to_index":927,"sum":183371,"residue":825},{"from_index":927,"to_index":1391,"sum":189979,"residue":825},{"from_index":1391,"to_index":463,"sum":190392,"residue":412}],"minimal_cycle":[825,825,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":825,"start_interval_clock_positions":[463,927],"circle_positions":826,"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":[0,232,464,696,928,1160],"clock_positions":[1392,232,464,696,928,1160],"native_values":[826,413,413,826,413,413],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[826,413,413],"beta":{"interval_sums":[93574,96406,93574,89798,92748,96406],"interval_residues":[236,590,236,590,236,590],"display_cycle":[236,590,236,590,236,590],"intervals":[{"from_index":0,"to_index":232,"sum":93574,"residue":236},{"from_index":232,"to_index":464,"sum":96406,"residue":590},{"from_index":464,"to_index":696,"sum":93574,"residue":236},{"from_index":696,"to_index":928,"sum":89798,"residue":590},{"from_index":928,"to_index":1160,"sum":92748,"residue":236},{"from_index":1160,"to_index":0,"sum":96406,"residue":590}],"minimal_cycle":[236,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[1392,232],"circle_positions":826,"cycle_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":[1,233,465,697,929,1161],"clock_positions":[1,233,465,697,929,1161],"native_values":[1,237,414,237,1,650],"rotation_degrees":0.25862068965517243,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,237,414,237,1,650],"beta":{"interval_sums":[93986,96582,93160,89974,93160,95756],"interval_residues":[648,766,648,766,648,766],"display_cycle":[648,766,648,766,648,766],"intervals":[{"from_index":1,"to_index":233,"sum":93986,"residue":648},{"from_index":233,"to_index":465,"sum":96582,"residue":766},{"from_index":465,"to_index":697,"sum":93160,"residue":648},{"from_index":697,"to_index":929,"sum":89974,"residue":766},{"from_index":929,"to_index":1161,"sum":93160,"residue":648},{"from_index":1161,"to_index":1,"sum":95756,"residue":766}],"minimal_cycle":[648,766],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[1,233],"circle_positions":826,"cycle_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":[2,234,466,698,930,1162],"clock_positions":[2,234,466,698,930,1162],"native_values":[1,650,1,237,414,237],"rotation_degrees":0.5172413793103449,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,650,1,237,414,237],"beta":{"interval_sums":[94222,96346,93396,89738,93396,95520],"interval_residues":[58,530,58,530,58,530],"display_cycle":[58,530,58,530,58,530],"intervals":[{"from_index":2,"to_index":234,"sum":94222,"residue":58},{"from_index":234,"to_index":466,"sum":96346,"residue":530},{"from_index":466,"to_index":698,"sum":93396,"residue":58},{"from_index":698,"to_index":930,"sum":89738,"residue":530},{"from_index":930,"to_index":1162,"sum":93396,"residue":58},{"from_index":1162,"to_index":2,"sum":95520,"residue":530}],"minimal_cycle":[58,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[2,234],"circle_positions":826,"cycle_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":[3,235,467,699,931,1163],"clock_positions":[3,235,467,699,931,1163],"native_values":[2,61,415,474,415,61],"rotation_degrees":0.7758620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,61,415,474,415,61],"beta":{"interval_sums":[94870,96286,93218,89678,93218,95460],"interval_residues":[706,470,706,470,706,470],"display_cycle":[706,470,706,470,706,470],"intervals":[{"from_index":3,"to_index":235,"sum":94870,"residue":706},{"from_index":235,"to_index":467,"sum":96286,"residue":470},{"from_index":467,"to_index":699,"sum":93218,"residue":706},{"from_index":699,"to_index":931,"sum":89678,"residue":470},{"from_index":931,"to_index":1163,"sum":93218,"residue":706},{"from_index":1163,"to_index":3,"sum":95460,"residue":470}],"minimal_cycle":[706,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[3,235],"circle_positions":826,"cycle_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":[4,236,468,700,932,1164],"clock_positions":[4,236,468,700,932,1164],"native_values":[3,711,416,711,3,298],"rotation_degrees":1.0344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,711,416,711,3,298],"beta":{"interval_sums":[94928,95990,93276,89382,93276,95164],"interval_residues":[764,174,764,174,764,174],"display_cycle":[764,174,764,174,764,174],"intervals":[{"from_index":4,"to_index":236,"sum":94928,"residue":764},{"from_index":236,"to_index":468,"sum":95990,"residue":174},{"from_index":468,"to_index":700,"sum":93276,"residue":764},{"from_index":700,"to_index":932,"sum":89382,"residue":174},{"from_index":932,"to_index":1164,"sum":93276,"residue":764},{"from_index":1164,"to_index":4,"sum":95164,"residue":174}],"minimal_cycle":[764,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[4,236],"circle_positions":826,"cycle_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":[5,237,469,701,933,1165],"clock_positions":[5,237,469,701,933,1165],"native_values":[5,772,5,359,418,359],"rotation_degrees":1.293103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,772,5,359,418,359],"beta":{"interval_sums":[95634,95634,93982,89026,93156,94808],"interval_residues":[644,644,644,644,644,644],"display_cycle":[644,644,644,644,644,644],"intervals":[{"from_index":5,"to_index":237,"sum":95634,"residue":644},{"from_index":237,"to_index":469,"sum":95634,"residue":644},{"from_index":469,"to_index":701,"sum":93982,"residue":644},{"from_index":701,"to_index":933,"sum":89026,"residue":644},{"from_index":933,"to_index":1165,"sum":93156,"residue":644},{"from_index":1165,"to_index":5,"sum":94808,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[5,237],"circle_positions":826,"cycle_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":[6,238,470,702,934,1166],"clock_positions":[6,238,470,702,934,1166],"native_values":[8,657,421,244,421,657],"rotation_degrees":1.5517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,657,421,244,421,657],"beta":{"interval_sums":[96398,94982,93920,89200,93094,94156],"interval_residues":[582,818,582,818,582,818],"display_cycle":[582,818,582,818,582,818],"intervals":[{"from_index":6,"to_index":238,"sum":96398,"residue":582},{"from_index":238,"to_index":470,"sum":94982,"residue":818},{"from_index":470,"to_index":702,"sum":93920,"residue":582},{"from_index":702,"to_index":934,"sum":89200,"residue":818},{"from_index":934,"to_index":1166,"sum":93094,"residue":582},{"from_index":1166,"to_index":6,"sum":94156,"residue":818}],"minimal_cycle":[582,818],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[6,238],"circle_positions":826,"cycle_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":[7,239,471,703,935,1167],"clock_positions":[7,239,471,703,935,1167],"native_values":[13,603,426,603,13,190],"rotation_degrees":1.8103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,603,426,603,13,190],"beta":{"interval_sums":[97042,94800,93738,89018,93738,93974],"interval_residues":[400,636,400,636,400,636],"display_cycle":[400,636,400,636,400,636],"intervals":[{"from_index":7,"to_index":239,"sum":97042,"residue":400},{"from_index":239,"to_index":471,"sum":94800,"residue":636},{"from_index":471,"to_index":703,"sum":93738,"residue":400},{"from_index":703,"to_index":935,"sum":89018,"residue":636},{"from_index":935,"to_index":1167,"sum":93738,"residue":400},{"from_index":1167,"to_index":7,"sum":93974,"residue":636}],"minimal_cycle":[400,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[7,239],"circle_positions":826,"cycle_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":[8,240,472,704,936,1168],"clock_positions":[8,240,472,704,936,1168],"native_values":[21,434,21,21,434,21],"rotation_degrees":2.0689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,434,21],"beta":{"interval_sums":[97624,94792,94320,89010,93494,93966],"interval_residues":[156,628,156,628,156,628],"display_cycle":[156,628,156,628,156,628],"intervals":[{"from_index":8,"to_index":240,"sum":97624,"residue":156},{"from_index":240,"to_index":472,"sum":94792,"residue":628},{"from_index":472,"to_index":704,"sum":94320,"residue":156},{"from_index":704,"to_index":936,"sum":89010,"residue":628},{"from_index":936,"to_index":1168,"sum":93494,"residue":156},{"from_index":1168,"to_index":8,"sum":93966,"residue":628}],"minimal_cycle":[156,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[8,240],"circle_positions":826,"cycle_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":[9,241,473,705,937,1169],"clock_positions":[9,241,473,705,937,1169],"native_values":[34,211,447,624,447,211],"rotation_degrees":2.3275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,211,447,624,447,211],"beta":{"interval_sums":[98024,94602,93894,88820,93068,93776],"interval_residues":[556,438,556,438,556,438],"display_cycle":[556,438,556,438,556,438],"intervals":[{"from_index":9,"to_index":241,"sum":98024,"residue":556},{"from_index":241,"to_index":473,"sum":94602,"residue":438},{"from_index":473,"to_index":705,"sum":93894,"residue":556},{"from_index":705,"to_index":937,"sum":88820,"residue":438},{"from_index":937,"to_index":1169,"sum":93068,"residue":556},{"from_index":1169,"to_index":9,"sum":93776,"residue":438}],"minimal_cycle":[556,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":556,"start_interval_clock_positions":[9,241],"circle_positions":826,"cycle_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":[10,242,474,706,938,1170],"clock_positions":[10,242,474,706,938,1170],"native_values":[55,645,468,645,55,232],"rotation_degrees":2.586206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,645,468,645,55,232],"beta":{"interval_sums":[98180,94404,94050,88622,93224,93578],"interval_residues":[712,240,712,240,712,240],"display_cycle":[712,240,712,240,712,240],"intervals":[{"from_index":10,"to_index":242,"sum":98180,"residue":712},{"from_index":242,"to_index":474,"sum":94404,"residue":240},{"from_index":474,"to_index":706,"sum":94050,"residue":712},{"from_index":706,"to_index":938,"sum":88622,"residue":240},{"from_index":938,"to_index":1170,"sum":93224,"residue":712},{"from_index":1170,"to_index":10,"sum":93578,"residue":240}],"minimal_cycle":[712,240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[10,242],"circle_positions":826,"cycle_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":[11,243,475,707,939,1171],"clock_positions":[11,243,475,707,939,1171],"native_values":[89,30,89,443,502,443],"rotation_degrees":2.8448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,30,89,443,502,443],"beta":{"interval_sums":[98736,94842,94606,88234,92954,93190],"interval_residues":[442,678,442,678,442,678],"display_cycle":[442,678,442,678,442,678],"intervals":[{"from_index":11,"to_index":243,"sum":98736,"residue":442},{"from_index":243,"to_index":475,"sum":94842,"residue":678},{"from_index":475,"to_index":707,"sum":94606,"residue":442},{"from_index":707,"to_index":939,"sum":88234,"residue":678},{"from_index":939,"to_index":1171,"sum":92954,"residue":442},{"from_index":1171,"to_index":11,"sum":93190,"residue":678}],"minimal_cycle":[442,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[11,243],"circle_positions":826,"cycle_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":[12,244,476,708,940,1172],"clock_positions":[12,244,476,708,940,1172],"native_values":[144,675,557,262,557,675],"rotation_degrees":3.103448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,675,557,262,557,675],"beta":{"interval_sums":[98622,94256,94492,88474,92840,92604],"interval_residues":[328,92,328,92,328,92],"display_cycle":[328,92,328,92,328,92],"intervals":[{"from_index":12,"to_index":244,"sum":98622,"residue":328},{"from_index":244,"to_index":476,"sum":94256,"residue":92},{"from_index":476,"to_index":708,"sum":94492,"residue":328},{"from_index":708,"to_index":940,"sum":88474,"residue":92},{"from_index":940,"to_index":1172,"sum":92840,"residue":328},{"from_index":1172,"to_index":12,"sum":92604,"residue":92}],"minimal_cycle":[328,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[12,244],"circle_positions":826,"cycle_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":[13,245,477,709,941,1173],"clock_positions":[13,245,477,709,941,1173],"native_values":[233,705,646,705,233,292],"rotation_degrees":3.3620689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,705,646,705,233,292],"beta":{"interval_sums":[99064,94108,94108,88326,93282,92456],"interval_residues":[770,770,770,770,770,770],"display_cycle":[770,770,770,770,770,770],"intervals":[{"from_index":13,"to_index":245,"sum":99064,"residue":770},{"from_index":245,"to_index":477,"sum":94108,"residue":770},{"from_index":477,"to_index":709,"sum":94108,"residue":770},{"from_index":709,"to_index":941,"sum":88326,"residue":770},{"from_index":941,"to_index":1173,"sum":93282,"residue":770},{"from_index":1173,"to_index":13,"sum":92456,"residue":770}],"minimal_cycle":[770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[13,245],"circle_positions":826,"cycle_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":[14,246,478,710,942,1174],"clock_positions":[14,246,478,710,942,1174],"native_values":[377,554,377,141,790,141],"rotation_degrees":3.6206896551724137,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,554,377,141,790,141],"beta":{"interval_sums":[99392,94200,94436,88418,92784,92548],"interval_residues":[272,36,272,36,272,36],"display_cycle":[272,36,272,36,272,36],"intervals":[{"from_index":14,"to_index":246,"sum":99392,"residue":272},{"from_index":246,"to_index":478,"sum":94200,"residue":36},{"from_index":478,"to_index":710,"sum":94436,"residue":272},{"from_index":710,"to_index":942,"sum":88418,"residue":36},{"from_index":942,"to_index":1174,"sum":92784,"residue":272},{"from_index":1174,"to_index":14,"sum":92548,"residue":36}],"minimal_cycle":[272,36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[14,246],"circle_positions":826,"cycle_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":[15,247,479,711,943,1175],"clock_positions":[15,247,479,711,943,1175],"native_values":[610,433,197,20,197,433],"rotation_degrees":3.8793103448275863,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,433,197,20,197,433],"beta":{"interval_sums":[99336,94144,94380,89188,92728,92492],"interval_residues":[216,806,216,806,216,806],"display_cycle":[216,806,216,806,216,806],"intervals":[{"from_index":15,"to_index":247,"sum":99336,"residue":216},{"from_index":247,"to_index":479,"sum":94144,"residue":806},{"from_index":479,"to_index":711,"sum":94380,"residue":216},{"from_index":711,"to_index":943,"sum":89188,"residue":806},{"from_index":943,"to_index":1175,"sum":92728,"residue":216},{"from_index":1175,"to_index":15,"sum":92492,"residue":806}],"minimal_cycle":[216,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[15,247],"circle_positions":826,"cycle_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":[16,248,480,712,944,1176],"clock_positions":[16,248,480,712,944,1176],"native_values":[161,161,574,161,161,574],"rotation_degrees":4.137931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,161,574],"beta":{"interval_sums":[99608,94180,93826,89224,93000,92528],"interval_residues":[488,16,488,16,488,16],"display_cycle":[488,16,488,16,488,16],"intervals":[{"from_index":16,"to_index":248,"sum":99608,"residue":488},{"from_index":248,"to_index":480,"sum":94180,"residue":16},{"from_index":480,"to_index":712,"sum":93826,"residue":488},{"from_index":712,"to_index":944,"sum":89224,"residue":16},{"from_index":944,"to_index":1176,"sum":93000,"residue":488},{"from_index":1176,"to_index":16,"sum":92528,"residue":16}],"minimal_cycle":[488,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[16,248],"circle_positions":826,"cycle_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":[17,249,481,713,945,1177],"clock_positions":[17,249,481,713,945,1177],"native_values":[771,594,771,181,358,181],"rotation_degrees":4.396551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,594,771,181,358,181],"beta":{"interval_sums":[98998,94160,93216,89204,93216,92508],"interval_residues":[704,822,704,822,704,822],"display_cycle":[704,822,704,822,704,822],"intervals":[{"from_index":17,"to_index":249,"sum":98998,"residue":704},{"from_index":249,"to_index":481,"sum":94160,"residue":822},{"from_index":481,"to_index":713,"sum":93216,"residue":704},{"from_index":713,"to_index":945,"sum":89204,"residue":822},{"from_index":945,"to_index":1177,"sum":93216,"residue":704},{"from_index":1177,"to_index":17,"sum":92508,"residue":822}],"minimal_cycle":[704,822],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[17,249],"circle_positions":826,"cycle_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":[18,250,482,714,946,1178],"clock_positions":[18,250,482,714,946,1178],"native_values":[106,755,519,342,519,755],"rotation_degrees":4.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[106,755,519,342,519,755],"beta":{"interval_sums":[99486,94176,92878,89220,92878,92524],"interval_residues":[366,12,366,12,366,12],"display_cycle":[366,12,366,12,366,12],"intervals":[{"from_index":18,"to_index":250,"sum":99486,"residue":366},{"from_index":250,"to_index":482,"sum":94176,"residue":12},{"from_index":482,"to_index":714,"sum":92878,"residue":366},{"from_index":714,"to_index":946,"sum":89220,"residue":12},{"from_index":946,"to_index":1178,"sum":92878,"residue":366},{"from_index":1178,"to_index":18,"sum":92524,"residue":12}],"minimal_cycle":[366,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[18,250],"circle_positions":826,"cycle_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":[19,251,483,715,947,1179],"clock_positions":[19,251,483,715,947,1179],"native_values":[51,523,464,523,51,110],"rotation_degrees":4.913793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,523,464,523,51,110],"beta":{"interval_sums":[100190,94172,92756,89216,93582,92520],"interval_residues":[244,8,244,8,244,8],"display_cycle":[244,8,244,8,244,8],"intervals":[{"from_index":19,"to_index":251,"sum":100190,"residue":244},{"from_index":251,"to_index":483,"sum":94172,"residue":8},{"from_index":483,"to_index":715,"sum":92756,"residue":244},{"from_index":715,"to_index":947,"sum":89216,"residue":8},{"from_index":947,"to_index":1179,"sum":93582,"residue":244},{"from_index":1179,"to_index":19,"sum":92520,"residue":8}],"minimal_cycle":[244,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[19,251],"circle_positions":826,"cycle_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":[20,252,484,716,948,1180],"clock_positions":[20,252,484,716,948,1180],"native_values":[157,452,157,39,570,39],"rotation_degrees":5.172413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,452,157,39,570,39],"beta":{"interval_sums":[100556,94184,93122,89228,93122,92532],"interval_residues":[610,20,610,20,610,20],"display_cycle":[610,20,610,20,610,20],"intervals":[{"from_index":20,"to_index":252,"sum":100556,"residue":610},{"from_index":252,"to_index":484,"sum":94184,"residue":20},{"from_index":484,"to_index":716,"sum":93122,"residue":610},{"from_index":716,"to_index":948,"sum":89228,"residue":20},{"from_index":948,"to_index":1180,"sum":93122,"residue":610},{"from_index":1180,"to_index":20,"sum":92532,"residue":20}],"minimal_cycle":[610,20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[20,252],"circle_positions":826,"cycle_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":[21,253,485,717,949,1181],"clock_positions":[21,253,485,717,949,1181],"native_values":[208,149,621,562,621,149],"rotation_degrees":5.431034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,149,621,562,621,149],"beta":{"interval_sums":[100800,94192,92540,89236,92540,92540],"interval_residues":[28,28,28,28,28,28],"display_cycle":[28,28,28,28,28,28],"intervals":[{"from_index":21,"to_index":253,"sum":100800,"residue":28},{"from_index":253,"to_index":485,"sum":94192,"residue":28},{"from_index":485,"to_index":717,"sum":92540,"residue":28},{"from_index":717,"to_index":949,"sum":89236,"residue":28},{"from_index":949,"to_index":1181,"sum":92540,"residue":28},{"from_index":1181,"to_index":21,"sum":92540,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[21,253],"circle_positions":826,"cycle_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":[22,254,486,718,950,1182],"clock_positions":[22,254,486,718,950,1182],"native_values":[365,601,778,601,365,188],"rotation_degrees":5.689655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,601,778,601,365,188],"beta":{"interval_sums":[100584,94212,92324,89256,92324,92560],"interval_residues":[638,48,638,48,638,48],"display_cycle":[638,48,638,48,638,48],"intervals":[{"from_index":22,"to_index":254,"sum":100584,"residue":638},{"from_index":254,"to_index":486,"sum":94212,"residue":48},{"from_index":486,"to_index":718,"sum":92324,"residue":638},{"from_index":718,"to_index":950,"sum":89256,"residue":48},{"from_index":950,"to_index":1182,"sum":92324,"residue":638},{"from_index":1182,"to_index":22,"sum":92560,"residue":48}],"minimal_cycle":[638,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[22,254],"circle_positions":826,"cycle_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":[23,255,487,719,951,1183],"clock_positions":[23,255,487,719,951,1183],"native_values":[573,750,573,337,160,337],"rotation_degrees":5.948275862068965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,750,573,337,160,337],"beta":{"interval_sums":[100612,94240,92352,89284,92352,92588],"interval_residues":[666,76,666,76,666,76],"display_cycle":[666,76,666,76,666,76],"intervals":[{"from_index":23,"to_index":255,"sum":100612,"residue":666},{"from_index":255,"to_index":487,"sum":94240,"residue":76},{"from_index":487,"to_index":719,"sum":92352,"residue":666},{"from_index":719,"to_index":951,"sum":89284,"residue":76},{"from_index":951,"to_index":1183,"sum":92352,"residue":666},{"from_index":1183,"to_index":23,"sum":92588,"residue":76}],"minimal_cycle":[666,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[23,255],"circle_positions":826,"cycle_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":[24,256,488,720,952,1184],"clock_positions":[24,256,488,720,952,1184],"native_values":[112,525,525,112,525,525],"rotation_degrees":6.206896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,525,525],"beta":{"interval_sums":[101250,94288,92164,89332,92164,92636],"interval_residues":[478,124,478,124,478,124],"display_cycle":[478,124,478,124,478,124],"intervals":[{"from_index":24,"to_index":256,"sum":101250,"residue":478},{"from_index":256,"to_index":488,"sum":94288,"residue":124},{"from_index":488,"to_index":720,"sum":92164,"residue":478},{"from_index":720,"to_index":952,"sum":89332,"residue":124},{"from_index":952,"to_index":1184,"sum":92164,"residue":478},{"from_index":1184,"to_index":24,"sum":92636,"residue":124}],"minimal_cycle":[478,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[24,256],"circle_positions":826,"cycle_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":[25,257,489,721,953,1185],"clock_positions":[25,257,489,721,953,1185],"native_values":[685,449,272,449,685,36],"rotation_degrees":6.4655172413793105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,449,272,449,685,36],"beta":{"interval_sums":[101090,94364,92004,89408,92004,92712],"interval_residues":[318,200,318,200,318,200],"display_cycle":[318,200,318,200,318,200],"intervals":[{"from_index":25,"to_index":257,"sum":101090,"residue":318},{"from_index":257,"to_index":489,"sum":94364,"residue":200},{"from_index":489,"to_index":721,"sum":92004,"residue":318},{"from_index":721,"to_index":953,"sum":89408,"residue":200},{"from_index":953,"to_index":1185,"sum":92004,"residue":318},{"from_index":1185,"to_index":25,"sum":92712,"residue":200}],"minimal_cycle":[318,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[25,257],"circle_positions":826,"cycle_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":[26,258,490,722,954,1186],"clock_positions":[26,258,490,722,954,1186],"native_values":[797,148,797,561,384,561],"rotation_degrees":6.724137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,148,797,561,384,561],"beta":{"interval_sums":[100742,94488,91656,89532,91656,92836],"interval_residues":[796,324,796,324,796,324],"display_cycle":[796,324,796,324,796,324],"intervals":[{"from_index":26,"to_index":258,"sum":100742,"residue":796},{"from_index":258,"to_index":490,"sum":94488,"residue":324},{"from_index":490,"to_index":722,"sum":91656,"residue":796},{"from_index":722,"to_index":954,"sum":89532,"residue":324},{"from_index":954,"to_index":1186,"sum":91656,"residue":796},{"from_index":1186,"to_index":26,"sum":92836,"residue":324}],"minimal_cycle":[796,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[26,258],"circle_positions":826,"cycle_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":[27,259,491,723,955,1187],"clock_positions":[27,259,491,723,955,1187],"native_values":[656,597,243,184,243,597],"rotation_degrees":6.982758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[656,597,243,184,243,597],"beta":{"interval_sums":[100234,94688,91974,89732,91974,93036],"interval_residues":[288,524,288,524,288,524],"display_cycle":[288,524,288,524,288,524],"intervals":[{"from_index":27,"to_index":259,"sum":100234,"residue":288},{"from_index":259,"to_index":491,"sum":94688,"residue":524},{"from_index":491,"to_index":723,"sum":91974,"residue":288},{"from_index":723,"to_index":955,"sum":89732,"residue":524},{"from_index":955,"to_index":1187,"sum":91974,"residue":288},{"from_index":1187,"to_index":27,"sum":93036,"residue":524}],"minimal_cycle":[288,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[27,259],"circle_positions":826,"cycle_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":[28,260,492,724,956,1188],"clock_positions":[28,260,492,724,956,1188],"native_values":[627,745,214,745,627,332],"rotation_degrees":7.241379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,745,214,745,627,332],"beta":{"interval_sums":[100204,94186,91944,89230,91944,93360],"interval_residues":[258,22,258,22,258,22],"display_cycle":[258,22,258,22,258,22],"intervals":[{"from_index":28,"to_index":260,"sum":100204,"residue":258},{"from_index":260,"to_index":492,"sum":94186,"residue":22},{"from_index":492,"to_index":724,"sum":91944,"residue":258},{"from_index":724,"to_index":956,"sum":89230,"residue":22},{"from_index":956,"to_index":1188,"sum":91944,"residue":258},{"from_index":1188,"to_index":28,"sum":93360,"residue":22}],"minimal_cycle":[258,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[28,260],"circle_positions":826,"cycle_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":[29,261,493,725,957,1189],"clock_positions":[29,261,493,725,957,1189],"native_values":[457,516,457,103,44,103],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,516,457,103,44,103],"beta":{"interval_sums":[100492,93884,92232,89754,92232,93884],"interval_residues":[546,546,546,546,546,546],"display_cycle":[546,546,546,546,546,546],"intervals":[{"from_index":29,"to_index":261,"sum":100492,"residue":546},{"from_index":261,"to_index":493,"sum":93884,"residue":546},{"from_index":493,"to_index":725,"sum":92232,"residue":546},{"from_index":725,"to_index":957,"sum":89754,"residue":546},{"from_index":957,"to_index":1189,"sum":92232,"residue":546},{"from_index":1189,"to_index":29,"sum":93884,"residue":546}],"minimal_cycle":[546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[29,261],"circle_positions":826,"cycle_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":[30,262,494,726,958,1190],"clock_positions":[30,262,494,726,958,1190],"native_values":[258,435,671,22,671,435],"rotation_degrees":7.758620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,435,671,22,671,435],"beta":{"interval_sums":[100750,93906,91664,89776,91664,93906],"interval_residues":[804,568,804,568,804,568],"display_cycle":[804,568,804,568,804,568],"intervals":[{"from_index":30,"to_index":262,"sum":100750,"residue":804},{"from_index":262,"to_index":494,"sum":93906,"residue":568},{"from_index":494,"to_index":726,"sum":91664,"residue":804},{"from_index":726,"to_index":958,"sum":89776,"residue":568},{"from_index":958,"to_index":1190,"sum":91664,"residue":804},{"from_index":1190,"to_index":30,"sum":93906,"residue":568}],"minimal_cycle":[804,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[30,262],"circle_positions":826,"cycle_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":[31,263,495,727,959,1191],"clock_positions":[31,263,495,727,959,1191],"native_values":[715,125,302,125,715,538],"rotation_degrees":8.017241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,125,302,125,715,538],"beta":{"interval_sums":[100470,94452,91384,90322,91384,93626],"interval_residues":[524,288,524,288,524,288],"display_cycle":[524,288,524,288,524,288],"intervals":[{"from_index":31,"to_index":263,"sum":100470,"residue":524},{"from_index":263,"to_index":495,"sum":94452,"residue":288},{"from_index":495,"to_index":727,"sum":91384,"residue":524},{"from_index":727,"to_index":959,"sum":90322,"residue":288},{"from_index":959,"to_index":1191,"sum":91384,"residue":524},{"from_index":1191,"to_index":31,"sum":93626,"residue":288}],"minimal_cycle":[524,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[31,263],"circle_positions":826,"cycle_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":[32,264,496,728,960,1192],"clock_positions":[32,264,496,728,960,1192],"native_values":[147,560,147,147,560,147],"rotation_degrees":8.275862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,560,147],"beta":{"interval_sums":[100448,94194,91362,90890,91362,94194],"interval_residues":[502,30,502,30,502,30],"display_cycle":[502,30,502,30,502,30],"intervals":[{"from_index":32,"to_index":264,"sum":100448,"residue":502},{"from_index":264,"to_index":496,"sum":94194,"residue":30},{"from_index":496,"to_index":728,"sum":91362,"residue":502},{"from_index":728,"to_index":960,"sum":90890,"residue":30},{"from_index":960,"to_index":1192,"sum":91362,"residue":502},{"from_index":1192,"to_index":32,"sum":94194,"residue":30}],"minimal_cycle":[502,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[32,264],"circle_positions":826,"cycle_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":[33,265,497,729,961,1193],"clock_positions":[33,265,497,729,961,1193],"native_values":[36,685,449,272,449,685],"rotation_degrees":8.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,685,449,272,449,685],"beta":{"interval_sums":[100972,93656,91060,91178,91060,93656],"interval_residues":[200,318,200,318,200,318],"display_cycle":[200,318,200,318,200,318],"intervals":[{"from_index":33,"to_index":265,"sum":100972,"residue":200},{"from_index":265,"to_index":497,"sum":93656,"residue":318},{"from_index":497,"to_index":729,"sum":91060,"residue":200},{"from_index":729,"to_index":961,"sum":91178,"residue":318},{"from_index":961,"to_index":1193,"sum":91060,"residue":200},{"from_index":1193,"to_index":33,"sum":93656,"residue":318}],"minimal_cycle":[200,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[33,265],"circle_positions":826,"cycle_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":[34,266,498,730,962,1194],"clock_positions":[34,266,498,730,962,1194],"native_values":[183,419,596,419,183,6],"rotation_degrees":8.793103448275861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,419,596,419,183,6],"beta":{"interval_sums":[101474,93686,90736,91208,91562,93686],"interval_residues":[702,348,702,348,702,348],"display_cycle":[702,348,702,348,702,348],"intervals":[{"from_index":34,"to_index":266,"sum":101474,"residue":702},{"from_index":266,"to_index":498,"sum":93686,"residue":348},{"from_index":498,"to_index":730,"sum":90736,"residue":702},{"from_index":730,"to_index":962,"sum":91208,"residue":348},{"from_index":962,"to_index":1194,"sum":91562,"residue":702},{"from_index":1194,"to_index":34,"sum":93686,"residue":348}],"minimal_cycle":[702,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[34,266],"circle_positions":826,"cycle_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":[35,267,499,731,963,1195],"clock_positions":[35,267,499,731,963,1195],"native_values":[219,278,219,691,632,691],"rotation_degrees":9.051724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,278,219,691,632,691],"beta":{"interval_sums":[101674,94004,90936,90700,90936,93178],"interval_residues":[76,666,76,666,76,666],"display_cycle":[76,666,76,666,76,666],"intervals":[{"from_index":35,"to_index":267,"sum":101674,"residue":76},{"from_index":267,"to_index":499,"sum":94004,"residue":666},{"from_index":499,"to_index":731,"sum":90936,"residue":76},{"from_index":731,"to_index":963,"sum":90700,"residue":666},{"from_index":963,"to_index":1195,"sum":90936,"residue":76},{"from_index":1195,"to_index":35,"sum":93178,"residue":666}],"minimal_cycle":[76,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[35,267],"circle_positions":826,"cycle_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":[36,268,500,732,964,1196],"clock_positions":[36,268,500,732,964,1196],"native_values":[402,697,815,284,815,697],"rotation_degrees":9.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,697,815,284,815,697],"beta":{"interval_sums":[101550,93526,90812,91048,90812,92700],"interval_residues":[778,188,778,188,778,188],"display_cycle":[778,188,778,188,778,188],"intervals":[{"from_index":36,"to_index":268,"sum":101550,"residue":778},{"from_index":268,"to_index":500,"sum":93526,"residue":188},{"from_index":500,"to_index":732,"sum":90812,"residue":778},{"from_index":732,"to_index":964,"sum":91048,"residue":188},{"from_index":964,"to_index":1196,"sum":90812,"residue":778},{"from_index":1196,"to_index":36,"sum":92700,"residue":188}],"minimal_cycle":[778,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[36,268],"circle_positions":826,"cycle_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":[37,269,501,733,965,1197],"clock_positions":[37,269,501,733,965,1197],"native_values":[621,149,208,149,621,562],"rotation_degrees":9.568965517241379,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,149,208,149,621,562],"beta":{"interval_sums":[101626,94192,90888,91714,90888,92540],"interval_residues":[28,28,28,28,28,28],"display_cycle":[28,28,28,28,28,28],"intervals":[{"from_index":37,"to_index":269,"sum":101626,"residue":28},{"from_index":269,"to_index":501,"sum":94192,"residue":28},{"from_index":501,"to_index":733,"sum":90888,"residue":28},{"from_index":733,"to_index":965,"sum":91714,"residue":28},{"from_index":965,"to_index":1197,"sum":90888,"residue":28},{"from_index":1197,"to_index":37,"sum":92540,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[37,269],"circle_positions":826,"cycle_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":[38,270,502,734,966,1198],"clock_positions":[38,270,502,734,966,1198],"native_values":[197,20,197,433,610,433],"rotation_degrees":9.827586206896552,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,20,197,433,610,433],"beta":{"interval_sums":[101578,94380,90840,91902,90840,92728],"interval_residues":[806,216,806,216,806,216],"display_cycle":[806,216,806,216,806,216],"intervals":[{"from_index":38,"to_index":270,"sum":101578,"residue":806},{"from_index":270,"to_index":502,"sum":94380,"residue":216},{"from_index":502,"to_index":734,"sum":90840,"residue":806},{"from_index":734,"to_index":966,"sum":91902,"residue":216},{"from_index":966,"to_index":1198,"sum":90840,"residue":806},{"from_index":1198,"to_index":38,"sum":92728,"residue":216}],"minimal_cycle":[806,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":806,"start_interval_clock_positions":[38,270],"circle_positions":826,"cycle_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":[39,271,503,735,967,1199],"clock_positions":[39,271,503,735,967,1199],"native_values":[818,169,405,582,405,169],"rotation_degrees":10.086206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[818,169,405,582,405,169],"beta":{"interval_sums":[100780,94408,90868,91930,90868,92756],"interval_residues":[8,244,8,244,8,244],"display_cycle":[8,244,8,244,8,244],"intervals":[{"from_index":39,"to_index":271,"sum":100780,"residue":8},{"from_index":271,"to_index":503,"sum":94408,"residue":244},{"from_index":503,"to_index":735,"sum":90868,"residue":8},{"from_index":735,"to_index":967,"sum":91930,"residue":244},{"from_index":967,"to_index":1199,"sum":90868,"residue":8},{"from_index":1199,"to_index":39,"sum":92756,"residue":244}],"minimal_cycle":[8,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[39,271],"circle_positions":826,"cycle_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":[40,272,504,736,968,1200],"clock_positions":[40,272,504,736,968,1200],"native_values":[189,189,602,189,189,602],"rotation_degrees":10.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,189,602],"beta":{"interval_sums":[100760,94624,90848,92146,90848,92972],"interval_residues":[814,460,814,460,814,460],"display_cycle":[814,460,814,460,814,460],"intervals":[{"from_index":40,"to_index":272,"sum":100760,"residue":814},{"from_index":272,"to_index":504,"sum":94624,"residue":460},{"from_index":504,"to_index":736,"sum":90848,"residue":814},{"from_index":736,"to_index":968,"sum":92146,"residue":460},{"from_index":968,"to_index":1200,"sum":90848,"residue":814},{"from_index":1200,"to_index":40,"sum":92972,"residue":460}],"minimal_cycle":[814,460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[40,272],"circle_positions":826,"cycle_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":[41,273,505,737,969,1201],"clock_positions":[41,273,505,737,969,1201],"native_values":[181,358,181,771,594,771],"rotation_degrees":10.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,358,181,771,594,771],"beta":{"interval_sums":[100768,94868,90856,91564,90856,92390],"interval_residues":[822,704,822,704,822,704],"display_cycle":[822,704,822,704,822,704],"intervals":[{"from_index":41,"to_index":273,"sum":100768,"residue":822},{"from_index":273,"to_index":505,"sum":94868,"residue":704},{"from_index":505,"to_index":737,"sum":90856,"residue":822},{"from_index":737,"to_index":969,"sum":91564,"residue":704},{"from_index":969,"to_index":1201,"sum":90856,"residue":822},{"from_index":1201,"to_index":41,"sum":92390,"residue":704}],"minimal_cycle":[822,704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":822,"start_interval_clock_positions":[41,273],"circle_positions":826,"cycle_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":[42,274,506,738,970,1202],"clock_positions":[42,274,506,738,970,1202],"native_values":[370,547,783,134,783,547],"rotation_degrees":10.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,547,783,134,783,547],"beta":{"interval_sums":[100756,94502,90844,92024,90844,92024],"interval_residues":[810,338,810,338,810,338],"display_cycle":[810,338,810,338,810,338],"intervals":[{"from_index":42,"to_index":274,"sum":100756,"residue":810},{"from_index":274,"to_index":506,"sum":94502,"residue":338},{"from_index":506,"to_index":738,"sum":90844,"residue":810},{"from_index":738,"to_index":970,"sum":92024,"residue":338},{"from_index":970,"to_index":1202,"sum":90844,"residue":810},{"from_index":1202,"to_index":42,"sum":92024,"residue":338}],"minimal_cycle":[810,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":810,"start_interval_clock_positions":[42,274],"circle_positions":826,"cycle_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":[43,275,507,739,971,1203],"clock_positions":[43,275,507,739,971,1203],"native_values":[551,79,138,79,551,492],"rotation_degrees":11.120689655172415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,79,138,79,551,492],"beta":{"interval_sums":[100752,95206,90840,92728,90840,91902],"interval_residues":[806,216,806,216,806,216],"display_cycle":[806,216,806,216,806,216],"intervals":[{"from_index":43,"to_index":275,"sum":100752,"residue":806},{"from_index":275,"to_index":507,"sum":95206,"residue":216},{"from_index":507,"to_index":739,"sum":90840,"residue":806},{"from_index":739,"to_index":971,"sum":92728,"residue":216},{"from_index":971,"to_index":1203,"sum":90840,"residue":806},{"from_index":1203,"to_index":43,"sum":91902,"residue":216}],"minimal_cycle":[806,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":806,"start_interval_clock_positions":[43,275],"circle_positions":826,"cycle_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":[44,276,508,740,972,1204],"clock_positions":[44,276,508,740,972,1204],"native_values":[95,626,95,213,508,213],"rotation_degrees":11.379310344827585,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,626,95,213,508,213],"beta":{"interval_sums":[100736,94718,90824,93066,90824,92240],"interval_residues":[790,554,790,554,790,554],"display_cycle":[790,554,790,554,790,554],"intervals":[{"from_index":44,"to_index":276,"sum":100736,"residue":790},{"from_index":276,"to_index":508,"sum":94718,"residue":554},{"from_index":508,"to_index":740,"sum":90824,"residue":790},{"from_index":740,"to_index":972,"sum":93066,"residue":554},{"from_index":972,"to_index":1204,"sum":90824,"residue":790},{"from_index":1204,"to_index":44,"sum":92240,"residue":554}],"minimal_cycle":[790,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[44,276],"circle_positions":826,"cycle_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":[45,277,509,741,973,1205],"clock_positions":[45,277,509,741,973,1205],"native_values":[646,705,233,292,233,705],"rotation_degrees":11.637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,705,233,292,233,705],"beta":{"interval_sums":[100716,94108,90804,93282,90804,91630],"interval_residues":[770,770,770,770,770,770],"display_cycle":[770,770,770,770,770,770],"intervals":[{"from_index":45,"to_index":277,"sum":100716,"residue":770},{"from_index":277,"to_index":509,"sum":94108,"residue":770},{"from_index":509,"to_index":741,"sum":90804,"residue":770},{"from_index":741,"to_index":973,"sum":93282,"residue":770},{"from_index":973,"to_index":1205,"sum":90804,"residue":770},{"from_index":1205,"to_index":45,"sum":91630,"residue":770}],"minimal_cycle":[770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[45,277],"circle_positions":826,"cycle_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":[46,278,510,742,974,1206],"clock_positions":[46,278,510,742,974,1206],"native_values":[741,505,328,505,741,92],"rotation_degrees":11.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,505,328,505,741,92],"beta":{"interval_sums":[100680,93836,90768,93010,90768,92184],"interval_residues":[734,498,734,498,734,498],"display_cycle":[734,498,734,498,734,498],"intervals":[{"from_index":46,"to_index":278,"sum":100680,"residue":734},{"from_index":278,"to_index":510,"sum":93836,"residue":498},{"from_index":510,"to_index":742,"sum":90768,"residue":734},{"from_index":742,"to_index":974,"sum":93010,"residue":498},{"from_index":974,"to_index":1206,"sum":90768,"residue":734},{"from_index":1206,"to_index":46,"sum":92184,"residue":498}],"minimal_cycle":[734,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[46,278],"circle_positions":826,"cycle_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":[47,279,511,743,975,1207],"clock_positions":[47,279,511,743,975,1207],"native_values":[561,384,561,797,148,797],"rotation_degrees":12.155172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,384,561,797,148,797],"beta":{"interval_sums":[100624,93780,90712,92954,90712,92128],"interval_residues":[678,442,678,442,678,442],"display_cycle":[678,442,678,442,678,442],"intervals":[{"from_index":47,"to_index":279,"sum":100624,"residue":678},{"from_index":279,"to_index":511,"sum":93780,"residue":442},{"from_index":511,"to_index":743,"sum":90712,"residue":678},{"from_index":743,"to_index":975,"sum":92954,"residue":442},{"from_index":975,"to_index":1207,"sum":90712,"residue":678},{"from_index":1207,"to_index":47,"sum":92128,"residue":442}],"minimal_cycle":[678,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[47,279],"circle_positions":826,"cycle_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":[48,280,512,744,976,1208],"clock_positions":[48,280,512,744,976,1208],"native_values":[476,63,63,476,63,63],"rotation_degrees":12.413793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,63,63],"beta":{"interval_sums":[100532,94278,91446,92626,91446,92626],"interval_residues":[586,114,586,114,586,114],"display_cycle":[586,114,586,114,586,114],"intervals":[{"from_index":48,"to_index":280,"sum":100532,"residue":586},{"from_index":280,"to_index":512,"sum":94278,"residue":114},{"from_index":512,"to_index":744,"sum":91446,"residue":586},{"from_index":744,"to_index":976,"sum":92626,"residue":114},{"from_index":976,"to_index":1208,"sum":91446,"residue":586},{"from_index":1208,"to_index":48,"sum":92626,"residue":114}],"minimal_cycle":[586,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[48,280],"circle_positions":826,"cycle_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":[49,281,513,745,977,1209],"clock_positions":[49,281,513,745,977,1209],"native_values":[211,447,624,447,211,34],"rotation_degrees":12.672413793103448,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,447,624,447,211,34],"beta":{"interval_sums":[100384,93894,91298,92242,91298,93068],"interval_residues":[438,556,438,556,438,556],"display_cycle":[438,556,438,556,438,556],"intervals":[{"from_index":49,"to_index":281,"sum":100384,"residue":438},{"from_index":281,"to_index":513,"sum":93894,"residue":556},{"from_index":513,"to_index":745,"sum":91298,"residue":438},{"from_index":745,"to_index":977,"sum":92242,"residue":556},{"from_index":977,"to_index":1209,"sum":91298,"residue":438},{"from_index":1209,"to_index":49,"sum":93068,"residue":556}],"minimal_cycle":[438,556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[49,281],"circle_positions":826,"cycle_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":[50,282,514,746,978,1210],"clock_positions":[50,282,514,746,978,1210],"native_values":[687,510,687,97,274,97],"rotation_degrees":12.931034482758621,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[687,510,687,97,274,97],"beta":{"interval_sums":[100144,94008,91058,92356,91058,93182],"interval_residues":[198,670,198,670,198,670],"display_cycle":[198,670,198,670,198,670],"intervals":[{"from_index":50,"to_index":282,"sum":100144,"residue":198},{"from_index":282,"to_index":514,"sum":94008,"residue":670},{"from_index":514,"to_index":746,"sum":91058,"residue":198},{"from_index":746,"to_index":978,"sum":92356,"residue":670},{"from_index":978,"to_index":1210,"sum":91058,"residue":198},{"from_index":1210,"to_index":50,"sum":93182,"residue":670}],"minimal_cycle":[198,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[50,282],"circle_positions":826,"cycle_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":[51,283,515,747,979,1211],"clock_positions":[51,283,515,747,979,1211],"native_values":[72,131,485,544,485,131],"rotation_degrees":13.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,131,485,544,485,131],"beta":{"interval_sums":[100582,94564,90670,92086,90670,93738],"interval_residues":[636,400,636,400,636,400],"display_cycle":[636,400,636,400,636,400],"intervals":[{"from_index":51,"to_index":283,"sum":100582,"residue":636},{"from_index":283,"to_index":515,"sum":94564,"residue":400},{"from_index":515,"to_index":747,"sum":90670,"residue":636},{"from_index":747,"to_index":979,"sum":92086,"residue":400},{"from_index":979,"to_index":1211,"sum":90670,"residue":636},{"from_index":1211,"to_index":51,"sum":93738,"residue":400}],"minimal_cycle":[636,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[51,283],"circle_positions":826,"cycle_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":[52,284,516,748,980,1212],"clock_positions":[52,284,516,748,980,1212],"native_values":[759,641,346,641,759,228],"rotation_degrees":13.448275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,641,346,641,759,228],"beta":{"interval_sums":[99954,94408,90868,91930,90042,93582],"interval_residues":[8,244,8,244,8,244],"display_cycle":[8,244,8,244,8,244],"intervals":[{"from_index":52,"to_index":284,"sum":99954,"residue":8},{"from_index":284,"to_index":516,"sum":94408,"residue":244},{"from_index":516,"to_index":748,"sum":90868,"residue":8},{"from_index":748,"to_index":980,"sum":91930,"residue":244},{"from_index":980,"to_index":1212,"sum":90042,"residue":8},{"from_index":1212,"to_index":52,"sum":93582,"residue":244}],"minimal_cycle":[8,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[52,284],"circle_positions":826,"cycle_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":[53,285,517,749,981,1213],"clock_positions":[53,285,517,749,981,1213],"native_values":[5,772,5,359,418,359],"rotation_degrees":13.706896551724139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,772,5,359,418,359],"beta":{"interval_sums":[100590,93982,91504,92330,89852,93982],"interval_residues":[644,644,644,644,644,644],"display_cycle":[644,644,644,644,644,644],"intervals":[{"from_index":53,"to_index":285,"sum":100590,"residue":644},{"from_index":285,"to_index":517,"sum":93982,"residue":644},{"from_index":517,"to_index":749,"sum":91504,"residue":644},{"from_index":749,"to_index":981,"sum":92330,"residue":644},{"from_index":981,"to_index":1213,"sum":89852,"residue":644},{"from_index":1213,"to_index":53,"sum":93982,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[53,285],"circle_positions":826,"cycle_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":[54,286,518,750,982,1214],"clock_positions":[54,286,518,750,982,1214],"native_values":[764,587,351,174,351,587],"rotation_degrees":13.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,587,351,174,351,587],"beta":{"interval_sums":[100598,93400,91512,92574,89860,93400],"interval_residues":[652,62,652,62,652,62],"display_cycle":[652,62,652,62,652,62],"intervals":[{"from_index":54,"to_index":286,"sum":100598,"residue":652},{"from_index":286,"to_index":518,"sum":93400,"residue":62},{"from_index":518,"to_index":750,"sum":91512,"residue":652},{"from_index":750,"to_index":982,"sum":92574,"residue":62},{"from_index":982,"to_index":1214,"sum":89860,"residue":652},{"from_index":1214,"to_index":54,"sum":93400,"residue":62}],"minimal_cycle":[652,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[54,286],"circle_positions":826,"cycle_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":[55,287,519,751,983,1215],"clock_positions":[55,287,519,751,983,1215],"native_values":[769,533,356,533,769,120],"rotation_degrees":14.224137931034482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,533,356,533,769,120],"beta":{"interval_sums":[100416,93218,91330,92392,89678,94044],"interval_residues":[470,706,470,706,470,706],"display_cycle":[470,706,470,706,470,706],"intervals":[{"from_index":55,"to_index":287,"sum":100416,"residue":470},{"from_index":287,"to_index":519,"sum":93218,"residue":706},{"from_index":519,"to_index":751,"sum":91330,"residue":470},{"from_index":751,"to_index":983,"sum":92392,"residue":706},{"from_index":983,"to_index":1215,"sum":89678,"residue":470},{"from_index":1215,"to_index":55,"sum":94044,"residue":706}],"minimal_cycle":[470,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[55,287],"circle_positions":826,"cycle_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":[56,288,520,752,984,1216],"clock_positions":[56,288,520,752,984,1216],"native_values":[707,294,707,707,294,707],"rotation_degrees":14.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,294,707],"beta":{"interval_sums":[100242,93280,91156,92454,89504,94106],"interval_residues":[296,768,296,768,296,768],"display_cycle":[296,768,296,768,296,768],"intervals":[{"from_index":56,"to_index":288,"sum":100242,"residue":296},{"from_index":288,"to_index":520,"sum":93280,"residue":768},{"from_index":520,"to_index":752,"sum":91156,"residue":296},{"from_index":752,"to_index":984,"sum":92454,"residue":768},{"from_index":984,"to_index":1216,"sum":89504,"residue":296},{"from_index":1216,"to_index":56,"sum":94106,"residue":768}],"minimal_cycle":[296,768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[56,288],"circle_positions":826,"cycle_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":[57,289,521,753,985,1217],"clock_positions":[57,289,521,753,985,1217],"native_values":[650,1,237,414,237,1],"rotation_degrees":14.741379310344827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,1,237,414,237,1],"beta":{"interval_sums":[99886,93986,91626,92334,89974,94812],"interval_residues":[766,648,766,648,766,648],"display_cycle":[766,648,766,648,766,648],"intervals":[{"from_index":57,"to_index":289,"sum":99886,"residue":766},{"from_index":289,"to_index":521,"sum":93986,"residue":648},{"from_index":521,"to_index":753,"sum":91626,"residue":766},{"from_index":753,"to_index":985,"sum":92334,"residue":648},{"from_index":985,"to_index":1217,"sum":89974,"residue":766},{"from_index":1217,"to_index":57,"sum":94812,"residue":648}],"minimal_cycle":[766,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":766,"start_interval_clock_positions":[57,289],"circle_positions":826,"cycle_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":[58,290,522,754,986,1218],"clock_positions":[58,290,522,754,986,1218],"native_values":[531,295,118,295,531,708],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,295,118,295,531,708],"beta":{"interval_sums":[99356,93928,91922,92276,89444,94754],"interval_residues":[236,590,236,590,236,590],"display_cycle":[236,590,236,590,236,590],"intervals":[{"from_index":58,"to_index":290,"sum":99356,"residue":236},{"from_index":290,"to_index":522,"sum":93928,"residue":590},{"from_index":522,"to_index":754,"sum":91922,"residue":236},{"from_index":754,"to_index":986,"sum":92276,"residue":590},{"from_index":986,"to_index":1218,"sum":89444,"residue":236},{"from_index":1218,"to_index":58,"sum":94754,"residue":590}],"minimal_cycle":[236,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[58,290],"circle_positions":826,"cycle_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":[59,291,523,755,987,1219],"clock_positions":[59,291,523,755,987,1219],"native_values":[355,296,355,709,768,709],"rotation_degrees":15.258620689655173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,296,355,709,768,709],"beta":{"interval_sums":[99296,93750,91862,92098,89384,94576],"interval_residues":[176,412,176,412,176,412],"display_cycle":[176,412,176,412,176,412],"intervals":[{"from_index":59,"to_index":291,"sum":99296,"residue":176},{"from_index":291,"to_index":523,"sum":93750,"residue":412},{"from_index":523,"to_index":755,"sum":91862,"residue":176},{"from_index":755,"to_index":987,"sum":92098,"residue":412},{"from_index":987,"to_index":1219,"sum":89384,"residue":176},{"from_index":1219,"to_index":59,"sum":94576,"residue":412}],"minimal_cycle":[176,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[59,291],"circle_positions":826,"cycle_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":[60,292,524,756,988,1220],"clock_positions":[60,292,524,756,988,1220],"native_values":[60,591,473,178,473,591],"rotation_degrees":15.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,591,473,178,473,591],"beta":{"interval_sums":[99532,93514,92098,92688,89620,94340],"interval_residues":[412,176,412,176,412,176],"display_cycle":[412,176,412,176,412,176],"intervals":[{"from_index":60,"to_index":292,"sum":99532,"residue":412},{"from_index":292,"to_index":524,"sum":93514,"residue":176},{"from_index":524,"to_index":756,"sum":92098,"residue":412},{"from_index":756,"to_index":988,"sum":92688,"residue":176},{"from_index":988,"to_index":1220,"sum":89620,"residue":412},{"from_index":1220,"to_index":60,"sum":94340,"residue":176}],"minimal_cycle":[412,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[60,292],"circle_positions":826,"cycle_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":[61,293,525,757,989,1221],"clock_positions":[61,293,525,757,989,1221],"native_values":[415,61,2,61,415,474],"rotation_degrees":15.775862068965518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,61,2,61,415,474],"beta":{"interval_sums":[99708,93926,92274,93100,89796,93926],"interval_residues":[588,588,588,588,588,588],"display_cycle":[588,588,588,588,588,588],"intervals":[{"from_index":61,"to_index":293,"sum":99708,"residue":588},{"from_index":293,"to_index":525,"sum":93926,"residue":588},{"from_index":525,"to_index":757,"sum":92274,"residue":588},{"from_index":757,"to_index":989,"sum":93100,"residue":588},{"from_index":989,"to_index":1221,"sum":89796,"residue":588},{"from_index":1221,"to_index":61,"sum":93926,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[61,293],"circle_positions":826,"cycle_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":[62,294,526,758,990,1222],"clock_positions":[62,294,526,758,990,1222],"native_values":[475,652,475,239,62,239],"rotation_degrees":16.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,652,475,239,62,239],"beta":{"interval_sums":[99294,93276,91860,93276,90208,94102],"interval_residues":[174,764,174,764,174,764],"display_cycle":[174,764,174,764,174,764],"intervals":[{"from_index":62,"to_index":294,"sum":99294,"residue":174},{"from_index":294,"to_index":526,"sum":93276,"residue":764},{"from_index":526,"to_index":758,"sum":91860,"residue":174},{"from_index":758,"to_index":990,"sum":93276,"residue":764},{"from_index":990,"to_index":1222,"sum":90208,"residue":174},{"from_index":1222,"to_index":62,"sum":94102,"residue":764}],"minimal_cycle":[174,764],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[62,294],"circle_positions":826,"cycle_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":[63,295,527,759,991,1223],"clock_positions":[63,295,527,759,991,1223],"native_values":[64,713,477,300,477,713],"rotation_degrees":16.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,713,477,300,477,713],"beta":{"interval_sums":[99882,93038,91622,93038,89970,93864],"interval_residues":[762,526,762,526,762,526],"display_cycle":[762,526,762,526,762,526],"intervals":[{"from_index":63,"to_index":295,"sum":99882,"residue":762},{"from_index":295,"to_index":527,"sum":93038,"residue":526},{"from_index":527,"to_index":759,"sum":91622,"residue":762},{"from_index":759,"to_index":991,"sum":93038,"residue":526},{"from_index":991,"to_index":1223,"sum":89970,"residue":762},{"from_index":1223,"to_index":63,"sum":93864,"residue":526}],"minimal_cycle":[762,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[63,295],"circle_positions":826,"cycle_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":[64,296,528,760,992,1224],"clock_positions":[64,296,528,760,992,1224],"native_values":[539,539,126,539,539,126],"rotation_degrees":16.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,539,126],"beta":{"interval_sums":[100056,92976,91796,92976,90144,93802],"interval_residues":[110,464,110,464,110,464],"display_cycle":[110,464,110,464,110,464],"intervals":[{"from_index":64,"to_index":296,"sum":100056,"residue":110},{"from_index":296,"to_index":528,"sum":92976,"residue":464},{"from_index":528,"to_index":760,"sum":91796,"residue":110},{"from_index":760,"to_index":992,"sum":92976,"residue":464},{"from_index":992,"to_index":1224,"sum":90144,"residue":110},{"from_index":1224,"to_index":64,"sum":93802,"residue":464}],"minimal_cycle":[110,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[64,296],"circle_positions":826,"cycle_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":[65,297,529,761,993,1225],"clock_positions":[65,297,529,761,993,1225],"native_values":[603,426,603,13,190,13],"rotation_degrees":16.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,426,603,13,190,13],"beta":{"interval_sums":[99992,92676,91732,93502,90080,94328],"interval_residues":[46,164,46,164,46,164],"display_cycle":[46,164,46,164,46,164],"intervals":[{"from_index":65,"to_index":297,"sum":99992,"residue":46},{"from_index":297,"to_index":529,"sum":92676,"residue":164},{"from_index":529,"to_index":761,"sum":91732,"residue":46},{"from_index":761,"to_index":993,"sum":93502,"residue":164},{"from_index":993,"to_index":1225,"sum":90080,"residue":46},{"from_index":1225,"to_index":65,"sum":94328,"residue":164}],"minimal_cycle":[46,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[65,297],"circle_positions":826,"cycle_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":[66,298,530,762,994,1226],"clock_positions":[66,298,530,762,994,1226],"native_values":[316,139,729,552,729,139],"rotation_degrees":17.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,139,729,552,729,139],"beta":{"interval_sums":[100102,93140,91016,93140,89364,94792],"interval_residues":[156,628,156,628,156,628],"display_cycle":[156,628,156,628,156,628],"intervals":[{"from_index":66,"to_index":298,"sum":100102,"residue":156},{"from_index":298,"to_index":530,"sum":93140,"residue":628},{"from_index":530,"to_index":762,"sum":91016,"residue":156},{"from_index":762,"to_index":994,"sum":93140,"residue":628},{"from_index":994,"to_index":1226,"sum":89364,"residue":156},{"from_index":1226,"to_index":66,"sum":94792,"residue":628}],"minimal_cycle":[156,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[66,298],"circle_positions":826,"cycle_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":[67,299,531,763,995,1227],"clock_positions":[67,299,531,763,995,1227],"native_values":[93,565,506,565,93,152],"rotation_degrees":17.32758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,565,506,565,93,152],"beta":{"interval_sums":[100148,93304,91062,93304,89410,94956],"interval_residues":[202,792,202,792,202,792],"display_cycle":[202,792,202,792,202,792],"intervals":[{"from_index":67,"to_index":299,"sum":100148,"residue":202},{"from_index":299,"to_index":531,"sum":93304,"residue":792},{"from_index":531,"to_index":763,"sum":91062,"residue":202},{"from_index":763,"to_index":995,"sum":93304,"residue":792},{"from_index":995,"to_index":1227,"sum":89410,"residue":202},{"from_index":1227,"to_index":67,"sum":94956,"residue":792}],"minimal_cycle":[202,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[67,299],"circle_positions":826,"cycle_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":[68,300,532,764,996,1228],"clock_positions":[68,300,532,764,996,1228],"native_values":[409,704,409,291,822,291],"rotation_degrees":17.586206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,704,409,291,822,291],"beta":{"interval_sums":[100304,93106,91218,93106,88740,94758],"interval_residues":[358,594,358,594,358,594],"display_cycle":[358,594,358,594,358,594],"intervals":[{"from_index":68,"to_index":300,"sum":100304,"residue":358},{"from_index":300,"to_index":532,"sum":93106,"residue":594},{"from_index":532,"to_index":764,"sum":91218,"residue":358},{"from_index":764,"to_index":996,"sum":93106,"residue":594},{"from_index":996,"to_index":1228,"sum":88740,"residue":358},{"from_index":1228,"to_index":68,"sum":94758,"residue":594}],"minimal_cycle":[358,594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[68,300],"circle_positions":826,"cycle_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":[69,301,533,765,997,1229],"clock_positions":[69,301,533,765,997,1229],"native_values":[502,443,89,30,89,443],"rotation_degrees":17.844827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,443,89,30,89,443],"beta":{"interval_sums":[100506,93072,91420,93898,88942,94724],"interval_residues":[560,560,560,560,560,560],"display_cycle":[560,560,560,560,560,560],"intervals":[{"from_index":69,"to_index":301,"sum":100506,"residue":560},{"from_index":301,"to_index":533,"sum":93072,"residue":560},{"from_index":533,"to_index":765,"sum":91420,"residue":560},{"from_index":765,"to_index":997,"sum":93898,"residue":560},{"from_index":997,"to_index":1229,"sum":88942,"residue":560},{"from_index":1229,"to_index":69,"sum":94724,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[69,301],"circle_positions":826,"cycle_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":[70,302,534,766,998,1230],"clock_positions":[70,302,534,766,998,1230],"native_values":[85,321,498,321,85,734],"rotation_degrees":18.103448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,321,498,321,85,734],"beta":{"interval_sums":[100864,92840,90952,93666,89300,94492],"interval_residues":[92,328,92,328,92,328],"display_cycle":[92,328,92,328,92,328],"intervals":[{"from_index":70,"to_index":302,"sum":100864,"residue":92},{"from_index":302,"to_index":534,"sum":92840,"residue":328},{"from_index":534,"to_index":766,"sum":90952,"residue":92},{"from_index":766,"to_index":998,"sum":93666,"residue":328},{"from_index":998,"to_index":1230,"sum":89300,"residue":92},{"from_index":1230,"to_index":70,"sum":94492,"residue":328}],"minimal_cycle":[92,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[70,302],"circle_positions":826,"cycle_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":[71,303,535,767,999,1231],"clock_positions":[71,303,535,767,999,1231],"native_values":[587,764,587,351,174,351],"rotation_degrees":18.362068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,764,587,351,174,351],"beta":{"interval_sums":[100598,92574,90686,93400,89860,94226],"interval_residues":[652,62,652,62,652,62],"display_cycle":[652,62,652,62,652,62],"intervals":[{"from_index":71,"to_index":303,"sum":100598,"residue":652},{"from_index":303,"to_index":535,"sum":92574,"residue":62},{"from_index":535,"to_index":767,"sum":90686,"residue":652},{"from_index":767,"to_index":999,"sum":93400,"residue":62},{"from_index":999,"to_index":1231,"sum":89860,"residue":652},{"from_index":1231,"to_index":71,"sum":94226,"residue":62}],"minimal_cycle":[652,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[71,303],"circle_positions":826,"cycle_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":[72,304,536,768,1000,1232],"clock_positions":[72,304,536,768,1000,1232],"native_values":[672,259,259,672,259,259],"rotation_degrees":18.620689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,259,259],"beta":{"interval_sums":[100690,92902,90778,92902,89952,94554],"interval_residues":[744,390,744,390,744,390],"display_cycle":[744,390,744,390,744,390],"intervals":[{"from_index":72,"to_index":304,"sum":100690,"residue":744},{"from_index":304,"to_index":536,"sum":92902,"residue":390},{"from_index":536,"to_index":768,"sum":90778,"residue":744},{"from_index":768,"to_index":1000,"sum":92902,"residue":390},{"from_index":1000,"to_index":1232,"sum":89952,"residue":744},{"from_index":1232,"to_index":72,"sum":94554,"residue":390}],"minimal_cycle":[744,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":744,"start_interval_clock_positions":[72,304],"circle_positions":826,"cycle_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":[73,305,537,769,1001,1233],"clock_positions":[73,305,537,769,1001,1233],"native_values":[433,197,20,197,433,610],"rotation_degrees":18.879310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,197,20,197,433,610],"beta":{"interval_sums":[100516,92964,91430,92964,89778,94616],"interval_residues":[570,452,570,452,570,452],"display_cycle":[570,452,570,452,570,452],"intervals":[{"from_index":73,"to_index":305,"sum":100516,"residue":570},{"from_index":305,"to_index":537,"sum":92964,"residue":452},{"from_index":537,"to_index":769,"sum":91430,"residue":570},{"from_index":769,"to_index":1001,"sum":92964,"residue":452},{"from_index":1001,"to_index":1233,"sum":89778,"residue":570},{"from_index":1233,"to_index":73,"sum":94616,"residue":452}],"minimal_cycle":[570,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[73,305],"circle_positions":826,"cycle_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":[74,306,538,770,1002,1234],"clock_positions":[74,306,538,770,1002,1234],"native_values":[279,456,279,43,692,43],"rotation_degrees":19.137931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,456,279,43,692,43],"beta":{"interval_sums":[100434,92528,91348,93354,89696,95006],"interval_residues":[488,16,488,16,488,16],"display_cycle":[488,16,488,16,488,16],"intervals":[{"from_index":74,"to_index":306,"sum":100434,"residue":488},{"from_index":306,"to_index":538,"sum":92528,"residue":16},{"from_index":538,"to_index":770,"sum":91348,"residue":488},{"from_index":770,"to_index":1002,"sum":93354,"residue":16},{"from_index":1002,"to_index":1234,"sum":89696,"residue":488},{"from_index":1234,"to_index":74,"sum":95006,"residue":16}],"minimal_cycle":[488,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[74,306],"circle_positions":826,"cycle_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":[75,307,539,771,1003,1235],"clock_positions":[75,307,539,771,1003,1235],"native_values":[712,653,299,240,299,653],"rotation_degrees":19.396551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[712,653,299,240,299,653],"beta":{"interval_sums":[100178,92154,91092,93806,89440,94632],"interval_residues":[232,468,232,468,232,468],"display_cycle":[232,468,232,468,232,468],"intervals":[{"from_index":75,"to_index":307,"sum":100178,"residue":232},{"from_index":307,"to_index":539,"sum":92154,"residue":468},{"from_index":539,"to_index":771,"sum":91092,"residue":232},{"from_index":771,"to_index":1003,"sum":93806,"residue":468},{"from_index":1003,"to_index":1235,"sum":89440,"residue":232},{"from_index":1235,"to_index":75,"sum":94632,"residue":468}],"minimal_cycle":[232,468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[75,307],"circle_positions":826,"cycle_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":[76,308,540,772,1004,1236],"clock_positions":[76,308,540,772,1004,1236],"native_values":[165,283,578,283,165,696],"rotation_degrees":19.655172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,283,578,283,165,696],"beta":{"interval_sums":[100666,92170,90754,93822,89928,94648],"interval_residues":[720,484,720,484,720,484],"display_cycle":[720,484,720,484,720,484],"intervals":[{"from_index":76,"to_index":308,"sum":100666,"residue":720},{"from_index":308,"to_index":540,"sum":92170,"residue":484},{"from_index":540,"to_index":772,"sum":90754,"residue":720},{"from_index":772,"to_index":1004,"sum":93822,"residue":484},{"from_index":1004,"to_index":1236,"sum":89928,"residue":720},{"from_index":1236,"to_index":76,"sum":94648,"residue":484}],"minimal_cycle":[720,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[76,308],"circle_positions":826,"cycle_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":[77,309,541,773,1005,1237],"clock_positions":[77,309,541,773,1005,1237],"native_values":[51,110,51,523,464,523],"rotation_degrees":19.913793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,110,51,523,464,523],"beta":{"interval_sums":[100898,92638,90986,93464,90160,94290],"interval_residues":[126,126,126,126,126,126],"display_cycle":[126,126,126,126,126,126],"intervals":[{"from_index":77,"to_index":309,"sum":100898,"residue":126},{"from_index":309,"to_index":541,"sum":92638,"residue":126},{"from_index":541,"to_index":773,"sum":90986,"residue":126},{"from_index":773,"to_index":1005,"sum":93464,"residue":126},{"from_index":1005,"to_index":1237,"sum":90160,"residue":126},{"from_index":1237,"to_index":77,"sum":94290,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[77,309],"circle_positions":826,"cycle_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":[78,310,542,774,1006,1238],"clock_positions":[78,310,542,774,1006,1238],"native_values":[216,393,629,806,629,393],"rotation_degrees":20.17241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,393,629,806,629,393],"beta":{"interval_sums":[100792,92296,90880,93122,90054,93948],"interval_residues":[20,610,20,610,20,610],"display_cycle":[20,610,20,610,20,610],"intervals":[{"from_index":78,"to_index":310,"sum":100792,"residue":20},{"from_index":310,"to_index":542,"sum":92296,"residue":610},{"from_index":542,"to_index":774,"sum":90880,"residue":20},{"from_index":774,"to_index":1006,"sum":93122,"residue":610},{"from_index":1006,"to_index":1238,"sum":90054,"residue":20},{"from_index":1238,"to_index":78,"sum":93948,"residue":610}],"minimal_cycle":[20,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[78,310],"circle_positions":826,"cycle_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":[79,311,543,775,1007,1239],"clock_positions":[79,311,543,775,1007,1239],"native_values":[267,503,680,503,267,90],"rotation_degrees":20.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,503,680,503,267,90],"beta":{"interval_sums":[100918,92422,91006,93248,90180,94074],"interval_residues":[146,736,146,736,146,736],"display_cycle":[146,736,146,736,146,736],"intervals":[{"from_index":79,"to_index":311,"sum":100918,"residue":146},{"from_index":311,"to_index":543,"sum":92422,"residue":736},{"from_index":543,"to_index":775,"sum":91006,"residue":146},{"from_index":775,"to_index":1007,"sum":93248,"residue":736},{"from_index":1007,"to_index":1239,"sum":90180,"residue":146},{"from_index":1239,"to_index":79,"sum":94074,"residue":736}],"minimal_cycle":[146,736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[79,311],"circle_positions":826,"cycle_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":[80,312,544,776,1008,1240],"clock_positions":[80,312,544,776,1008,1240],"native_values":[483,70,483,483,70,483],"rotation_degrees":20.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,70,483],"beta":{"interval_sums":[100938,93032,91026,93032,90200,93858],"interval_residues":[166,520,166,520,166,520],"display_cycle":[166,520,166,520,166,520],"intervals":[{"from_index":80,"to_index":312,"sum":100938,"residue":166},{"from_index":312,"to_index":544,"sum":93032,"residue":520},{"from_index":544,"to_index":776,"sum":91026,"residue":166},{"from_index":776,"to_index":1008,"sum":93032,"residue":520},{"from_index":1008,"to_index":1240,"sum":90200,"residue":166},{"from_index":1240,"to_index":80,"sum":93858,"residue":520}],"minimal_cycle":[166,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[80,312],"circle_positions":826,"cycle_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":[81,313,545,777,1009,1241],"clock_positions":[81,313,545,777,1009,1241],"native_values":[750,573,337,160,337,573],"rotation_degrees":20.948275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[750,573,337,160,337,573],"beta":{"interval_sums":[100258,92942,91172,92942,90346,93768],"interval_residues":[312,430,312,430,312,430],"display_cycle":[312,430,312,430,312,430],"intervals":[{"from_index":81,"to_index":313,"sum":100258,"residue":312},{"from_index":313,"to_index":545,"sum":92942,"residue":430},{"from_index":545,"to_index":777,"sum":91172,"residue":312},{"from_index":777,"to_index":1009,"sum":92942,"residue":430},{"from_index":1009,"to_index":1241,"sum":90346,"residue":312},{"from_index":1241,"to_index":81,"sum":93768,"residue":430}],"minimal_cycle":[312,430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[81,313],"circle_positions":826,"cycle_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":[82,314,546,778,1010,1242],"clock_positions":[82,314,546,778,1010,1242],"native_values":[407,643,820,643,407,230],"rotation_degrees":21.20689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,643,820,643,407,230],"beta":{"interval_sums":[100424,92636,90512,92636,90512,94288],"interval_residues":[478,124,478,124,478,124],"display_cycle":[478,124,478,124,478,124],"intervals":[{"from_index":82,"to_index":314,"sum":100424,"residue":478},{"from_index":314,"to_index":546,"sum":92636,"residue":124},{"from_index":546,"to_index":778,"sum":90512,"residue":478},{"from_index":778,"to_index":1010,"sum":92636,"residue":124},{"from_index":1010,"to_index":1242,"sum":90512,"residue":478},{"from_index":1242,"to_index":82,"sum":94288,"residue":124}],"minimal_cycle":[478,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[82,314],"circle_positions":826,"cycle_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":[83,315,547,779,1011,1243],"clock_positions":[83,315,547,779,1011,1243],"native_values":[331,390,331,803,744,803],"rotation_degrees":21.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,390,331,803,744,803],"beta":{"interval_sums":[100736,93066,90824,92240,89998,93892],"interval_residues":[790,554,790,554,790,554],"display_cycle":[790,554,790,554,790,554],"intervals":[{"from_index":83,"to_index":315,"sum":100736,"residue":790},{"from_index":315,"to_index":547,"sum":93066,"residue":554},{"from_index":547,"to_index":779,"sum":90824,"residue":790},{"from_index":779,"to_index":1011,"sum":92240,"residue":554},{"from_index":1011,"to_index":1243,"sum":89998,"residue":790},{"from_index":1243,"to_index":83,"sum":93892,"residue":554}],"minimal_cycle":[790,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[83,315],"circle_positions":826,"cycle_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":[84,316,548,780,1012,1244],"clock_positions":[84,316,548,780,1012,1244],"native_values":[738,207,325,620,325,207],"rotation_degrees":21.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,207,325,620,325,207],"beta":{"interval_sums":[100388,93190,91302,92364,90476,94016],"interval_residues":[442,678,442,678,442,678],"display_cycle":[442,678,442,678,442,678],"intervals":[{"from_index":84,"to_index":316,"sum":100388,"residue":442},{"from_index":316,"to_index":548,"sum":93190,"residue":678},{"from_index":548,"to_index":780,"sum":91302,"residue":442},{"from_index":780,"to_index":1012,"sum":92364,"residue":678},{"from_index":1012,"to_index":1244,"sum":90476,"residue":442},{"from_index":1244,"to_index":84,"sum":94016,"residue":678}],"minimal_cycle":[442,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[84,316],"circle_positions":826,"cycle_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":[85,317,549,781,1013,1245],"clock_positions":[85,317,549,781,1013,1245],"native_values":[243,597,656,597,243,184],"rotation_degrees":21.982758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,597,656,597,243,184],"beta":{"interval_sums":[100352,92918,91266,92092,90440,94570],"interval_residues":[406,406,406,406,406,406],"display_cycle":[406,406,406,406,406,406],"intervals":[{"from_index":85,"to_index":317,"sum":100352,"residue":406},{"from_index":317,"to_index":549,"sum":92918,"residue":406},{"from_index":549,"to_index":781,"sum":91266,"residue":406},{"from_index":781,"to_index":1013,"sum":92092,"residue":406},{"from_index":1013,"to_index":1245,"sum":90440,"residue":406},{"from_index":1245,"to_index":85,"sum":94570,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[85,317],"circle_positions":826,"cycle_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":[86,318,550,782,1014,1246],"clock_positions":[86,318,550,782,1014,1246],"native_values":[155,804,155,391,568,391],"rotation_degrees":22.24137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,804,155,391,568,391],"beta":{"interval_sums":[100794,92770,91708,91944,90056,94422],"interval_residues":[22,258,22,258,22,258],"display_cycle":[22,258,22,258,22,258],"intervals":[{"from_index":86,"to_index":318,"sum":100794,"residue":22},{"from_index":318,"to_index":550,"sum":92770,"residue":258},{"from_index":550,"to_index":782,"sum":91708,"residue":22},{"from_index":782,"to_index":1014,"sum":91944,"residue":258},{"from_index":1014,"to_index":1246,"sum":90056,"residue":22},{"from_index":1246,"to_index":86,"sum":94422,"residue":258}],"minimal_cycle":[22,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[86,318],"circle_positions":826,"cycle_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":[87,319,551,783,1015,1247],"clock_positions":[87,319,551,783,1015,1247],"native_values":[398,575,811,162,811,575],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[398,575,811,162,811,575],"beta":{"interval_sums":[101200,92350,91288,92350,89636,94002],"interval_residues":[428,664,428,664,428,664],"display_cycle":[428,664,428,664,428,664],"intervals":[{"from_index":87,"to_index":319,"sum":101200,"residue":428},{"from_index":319,"to_index":551,"sum":92350,"residue":664},{"from_index":551,"to_index":783,"sum":91288,"residue":428},{"from_index":783,"to_index":1015,"sum":92350,"residue":664},{"from_index":1015,"to_index":1247,"sum":89636,"residue":428},{"from_index":1247,"to_index":87,"sum":94002,"residue":664}],"minimal_cycle":[428,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[87,319],"circle_positions":826,"cycle_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":[88,320,552,784,1016,1248],"clock_positions":[88,320,552,784,1016,1248],"native_values":[553,553,140,553,553,140],"rotation_degrees":22.75862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,553,140],"beta":{"interval_sums":[101222,92608,91310,92608,89658,94260],"interval_residues":[450,96,450,96,450,96],"display_cycle":[450,96,450,96,450,96],"intervals":[{"from_index":88,"to_index":320,"sum":101222,"residue":450},{"from_index":320,"to_index":552,"sum":92608,"residue":96},{"from_index":552,"to_index":784,"sum":91310,"residue":450},{"from_index":784,"to_index":1016,"sum":92608,"residue":96},{"from_index":1016,"to_index":1248,"sum":89658,"residue":450},{"from_index":1248,"to_index":88,"sum":94260,"residue":96}],"minimal_cycle":[450,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[88,320],"circle_positions":826,"cycle_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":[89,321,553,785,1017,1249],"clock_positions":[89,321,553,785,1017,1249],"native_values":[125,302,125,715,538,715],"rotation_degrees":23.017241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,302,125,715,538,715],"beta":{"interval_sums":[101650,92446,91738,92446,89260,94098],"interval_residues":[52,760,52,760,52,760],"display_cycle":[52,760,52,760,52,760],"intervals":[{"from_index":89,"to_index":321,"sum":101650,"residue":52},{"from_index":321,"to_index":553,"sum":92446,"residue":760},{"from_index":553,"to_index":785,"sum":91738,"residue":52},{"from_index":785,"to_index":1017,"sum":92446,"residue":760},{"from_index":1017,"to_index":1249,"sum":89260,"residue":52},{"from_index":1249,"to_index":89,"sum":94098,"residue":760}],"minimal_cycle":[52,760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[89,321],"circle_positions":826,"cycle_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":[90,322,554,786,1018,1250],"clock_positions":[90,322,554,786,1018,1250],"native_values":[678,29,265,442,265,29],"rotation_degrees":23.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,29,265,442,265,29],"beta":{"interval_sums":[101274,92542,92188,92542,89710,94194],"interval_residues":[502,30,502,30,502,30],"display_cycle":[502,30,502,30,502,30],"intervals":[{"from_index":90,"to_index":322,"sum":101274,"residue":502},{"from_index":322,"to_index":554,"sum":92542,"residue":30},{"from_index":554,"to_index":786,"sum":92188,"residue":502},{"from_index":786,"to_index":1018,"sum":92542,"residue":30},{"from_index":1018,"to_index":1250,"sum":89710,"residue":502},{"from_index":1250,"to_index":90,"sum":94194,"residue":30}],"minimal_cycle":[502,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[90,322],"circle_positions":826,"cycle_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":[91,323,555,787,1019,1251],"clock_positions":[91,323,555,787,1019,1251],"native_values":[803,331,390,331,803,744],"rotation_degrees":23.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,331,390,331,803,744],"beta":{"interval_sums":[100500,92476,92240,92476,88936,94128],"interval_residues":[554,790,554,790,554,790],"display_cycle":[554,790,554,790,554,790],"intervals":[{"from_index":91,"to_index":323,"sum":100500,"residue":554},{"from_index":323,"to_index":555,"sum":92476,"residue":790},{"from_index":555,"to_index":787,"sum":92240,"residue":554},{"from_index":787,"to_index":1019,"sum":92476,"residue":790},{"from_index":1019,"to_index":1251,"sum":88936,"residue":554},{"from_index":1251,"to_index":91,"sum":94128,"residue":790}],"minimal_cycle":[554,790],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[91,323],"circle_positions":826,"cycle_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":[92,324,556,788,1020,1252],"clock_positions":[92,324,556,788,1020,1252],"native_values":[655,360,655,773,242,773],"rotation_degrees":23.79310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,360,655,773,242,773],"beta":{"interval_sums":[100176,92506,91916,92506,89438,94158],"interval_residues":[230,820,230,820,230,820],"display_cycle":[230,820,230,820,230,820],"intervals":[{"from_index":92,"to_index":324,"sum":100176,"residue":230},{"from_index":324,"to_index":556,"sum":92506,"residue":820},{"from_index":556,"to_index":788,"sum":91916,"residue":230},{"from_index":788,"to_index":1020,"sum":92506,"residue":820},{"from_index":1020,"to_index":1252,"sum":89438,"residue":230},{"from_index":1252,"to_index":92,"sum":94158,"residue":820}],"minimal_cycle":[230,820],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[92,324],"circle_positions":826,"cycle_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":[93,325,557,789,1021,1253],"clock_positions":[93,325,557,789,1021,1253],"native_values":[632,691,219,278,219,691],"rotation_degrees":24.051724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[632,691,219,278,219,691],"beta":{"interval_sums":[99904,92470,92470,92470,89992,94122],"interval_residues":[784,784,784,784,784,784],"display_cycle":[784,784,784,784,784,784],"intervals":[{"from_index":93,"to_index":325,"sum":99904,"residue":784},{"from_index":325,"to_index":557,"sum":92470,"residue":784},{"from_index":557,"to_index":789,"sum":92470,"residue":784},{"from_index":789,"to_index":1021,"sum":92470,"residue":784},{"from_index":1021,"to_index":1253,"sum":89992,"residue":784},{"from_index":1253,"to_index":93,"sum":94122,"residue":784}],"minimal_cycle":[784],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":784,"start_interval_clock_positions":[93,325],"circle_positions":826,"cycle_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":[94,326,558,790,1022,1254],"clock_positions":[94,326,558,790,1022,1254],"native_values":[461,225,48,225,461,638],"rotation_degrees":24.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,225,48,225,461,638],"beta":{"interval_sums":[100134,92464,92700,92464,90222,94116],"interval_residues":[188,778,188,778,188,778],"display_cycle":[188,778,188,778,188,778],"intervals":[{"from_index":94,"to_index":326,"sum":100134,"residue":188},{"from_index":326,"to_index":558,"sum":92464,"residue":778},{"from_index":558,"to_index":790,"sum":92700,"residue":188},{"from_index":790,"to_index":1022,"sum":92464,"residue":778},{"from_index":1022,"to_index":1254,"sum":90222,"residue":188},{"from_index":1254,"to_index":94,"sum":94116,"residue":778}],"minimal_cycle":[188,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[94,326],"circle_positions":826,"cycle_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":[95,327,559,791,1023,1255],"clock_positions":[95,327,559,791,1023,1255],"native_values":[267,90,267,503,680,503],"rotation_degrees":24.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,90,267,503,680,503],"beta":{"interval_sums":[100092,92422,92658,92422,90180,94074],"interval_residues":[146,736,146,736,146,736],"display_cycle":[146,736,146,736,146,736],"intervals":[{"from_index":95,"to_index":327,"sum":100092,"residue":146},{"from_index":327,"to_index":559,"sum":92422,"residue":736},{"from_index":559,"to_index":791,"sum":92658,"residue":146},{"from_index":791,"to_index":1023,"sum":92422,"residue":736},{"from_index":1023,"to_index":1255,"sum":90180,"residue":146},{"from_index":1255,"to_index":95,"sum":94074,"residue":736}],"minimal_cycle":[146,736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[95,327],"circle_positions":826,"cycle_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":[96,328,560,792,1024,1256],"clock_positions":[96,328,560,792,1024,1256],"native_values":[728,315,315,728,315,315],"rotation_degrees":24.82758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[728,315,315],"beta":{"interval_sums":[99454,92374,92846,92374,90368,94026],"interval_residues":[334,688,334,688,334,688],"display_cycle":[334,688,334,688,334,688],"intervals":[{"from_index":96,"to_index":328,"sum":99454,"residue":334},{"from_index":328,"to_index":560,"sum":92374,"residue":688},{"from_index":560,"to_index":792,"sum":92846,"residue":334},{"from_index":792,"to_index":1024,"sum":92374,"residue":688},{"from_index":1024,"to_index":1256,"sum":90368,"residue":334},{"from_index":1256,"to_index":96,"sum":94026,"residue":688}],"minimal_cycle":[334,688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[96,328],"circle_positions":826,"cycle_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":[97,329,561,793,1025,1257],"clock_positions":[97,329,561,793,1025,1257],"native_values":[169,405,582,405,169,818],"rotation_degrees":25.086206896551722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,405,582,405,169,818],"beta":{"interval_sums":[99600,92284,92992,92284,90514,93936],"interval_residues":[480,598,480,598,480,598],"display_cycle":[480,598,480,598,480,598],"intervals":[{"from_index":97,"to_index":329,"sum":99600,"residue":480},{"from_index":329,"to_index":561,"sum":92284,"residue":598},{"from_index":561,"to_index":793,"sum":92992,"residue":480},{"from_index":793,"to_index":1025,"sum":92284,"residue":598},{"from_index":1025,"to_index":1257,"sum":90514,"residue":480},{"from_index":1257,"to_index":97,"sum":93936,"residue":598}],"minimal_cycle":[480,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[97,329],"circle_positions":826,"cycle_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":[98,330,562,794,1026,1258],"clock_positions":[98,330,562,794,1026,1258],"native_values":[71,720,71,307,484,307],"rotation_degrees":25.344827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,720,71,307,484,307],"beta":{"interval_sums":[99934,92146,93326,92146,90848,93798],"interval_residues":[814,460,814,460,814,460],"display_cycle":[814,460,814,460,814,460],"intervals":[{"from_index":98,"to_index":330,"sum":99934,"residue":814},{"from_index":330,"to_index":562,"sum":92146,"residue":460},{"from_index":562,"to_index":794,"sum":93326,"residue":814},{"from_index":794,"to_index":1026,"sum":92146,"residue":460},{"from_index":1026,"to_index":1258,"sum":90848,"residue":814},{"from_index":1258,"to_index":98,"sum":93798,"residue":460}],"minimal_cycle":[814,460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[98,330],"circle_positions":826,"cycle_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":[99,331,563,795,1027,1259],"clock_positions":[99,331,563,795,1027,1259],"native_values":[240,299,653,712,653,299],"rotation_degrees":25.603448275862068,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,299,653,712,653,299],"beta":{"interval_sums":[100414,91918,92980,91918,90502,93570],"interval_residues":[468,232,468,232,468,232],"display_cycle":[468,232,468,232,468,232],"intervals":[{"from_index":99,"to_index":331,"sum":100414,"residue":468},{"from_index":331,"to_index":563,"sum":91918,"residue":232},{"from_index":563,"to_index":795,"sum":92980,"residue":468},{"from_index":795,"to_index":1027,"sum":91918,"residue":232},{"from_index":1027,"to_index":1259,"sum":90502,"residue":468},{"from_index":1259,"to_index":99,"sum":93570,"residue":232}],"minimal_cycle":[468,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[99,331],"circle_positions":826,"cycle_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":[100,332,564,796,1028,1260],"clock_positions":[100,332,564,796,1028,1260],"native_values":[311,193,724,193,311,606],"rotation_degrees":25.862068965517242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,193,724,193,311,606],"beta":{"interval_sums":[100402,92378,92968,92378,90490,93204],"interval_residues":[456,692,456,692,456,692],"display_cycle":[456,692,456,692,456,692],"intervals":[{"from_index":100,"to_index":332,"sum":100402,"residue":456},{"from_index":332,"to_index":564,"sum":92378,"residue":692},{"from_index":564,"to_index":796,"sum":92968,"residue":456},{"from_index":796,"to_index":1028,"sum":92378,"residue":692},{"from_index":1028,"to_index":1260,"sum":90490,"residue":456},{"from_index":1260,"to_index":100,"sum":93204,"residue":692}],"minimal_cycle":[456,692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[100,332],"circle_positions":826,"cycle_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":[101,333,565,797,1029,1261],"clock_positions":[101,333,565,797,1029,1261],"native_values":[551,492,551,79,138,79],"rotation_degrees":26.120689655172413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,492,551,79,138,79],"beta":{"interval_sums":[100044,92610,92610,92610,90958,93436],"interval_residues":[98,98,98,98,98,98],"display_cycle":[98,98,98,98,98,98],"intervals":[{"from_index":101,"to_index":333,"sum":100044,"residue":98},{"from_index":333,"to_index":565,"sum":92610,"residue":98},{"from_index":565,"to_index":797,"sum":92610,"residue":98},{"from_index":797,"to_index":1029,"sum":92610,"residue":98},{"from_index":1029,"to_index":1261,"sum":90958,"residue":98},{"from_index":1261,"to_index":101,"sum":93436,"residue":98}],"minimal_cycle":[98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[101,333],"circle_positions":826,"cycle_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":[102,334,566,798,1030,1262],"clock_positions":[102,334,566,798,1030,1262],"native_values":[36,685,449,272,449,685],"rotation_degrees":26.379310344827587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,685,449,272,449,685],"beta":{"interval_sums":[100500,92476,92240,92476,90588,93302],"interval_residues":[554,790,554,790,554,790],"display_cycle":[554,790,554,790,554,790],"intervals":[{"from_index":102,"to_index":334,"sum":100500,"residue":554},{"from_index":334,"to_index":566,"sum":92476,"residue":790},{"from_index":566,"to_index":798,"sum":92240,"residue":554},{"from_index":798,"to_index":1030,"sum":92476,"residue":790},{"from_index":1030,"to_index":1262,"sum":90588,"residue":554},{"from_index":1262,"to_index":102,"sum":93302,"residue":790}],"minimal_cycle":[554,790],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[102,334],"circle_positions":826,"cycle_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":[103,335,567,799,1031,1263],"clock_positions":[103,335,567,799,1031,1263],"native_values":[587,351,174,351,587,764],"rotation_degrees":26.637931034482758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,351,174,351,587,764],"beta":{"interval_sums":[100598,92574,92338,92574,90686,92574],"interval_residues":[652,62,652,62,652,62],"display_cycle":[652,62,652,62,652,62],"intervals":[{"from_index":103,"to_index":335,"sum":100598,"residue":652},{"from_index":335,"to_index":567,"sum":92574,"residue":62},{"from_index":567,"to_index":799,"sum":92338,"residue":652},{"from_index":799,"to_index":1031,"sum":92574,"residue":62},{"from_index":1031,"to_index":1263,"sum":90686,"residue":652},{"from_index":1263,"to_index":103,"sum":92574,"residue":62}],"minimal_cycle":[652,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[103,335],"circle_positions":826,"cycle_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":[104,336,568,800,1032,1264],"clock_positions":[104,336,568,800,1032,1264],"native_values":[623,210,623,623,210,623],"rotation_degrees":26.896551724137932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,210,623],"beta":{"interval_sums":[100326,92538,92066,92538,91240,92538],"interval_residues":[380,26,380,26,380,26],"display_cycle":[380,26,380,26,380,26],"intervals":[{"from_index":104,"to_index":336,"sum":100326,"residue":380},{"from_index":336,"to_index":568,"sum":92538,"residue":26},{"from_index":568,"to_index":800,"sum":92066,"residue":380},{"from_index":800,"to_index":1032,"sum":92538,"residue":26},{"from_index":1032,"to_index":1264,"sum":91240,"residue":380},{"from_index":1264,"to_index":104,"sum":92538,"residue":26}],"minimal_cycle":[380,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[104,336],"circle_positions":826,"cycle_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":[105,337,569,801,1033,1265],"clock_positions":[105,337,569,801,1033,1265],"native_values":[384,561,797,148,797,561],"rotation_degrees":27.155172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,561,797,148,797,561],"beta":{"interval_sums":[100152,92600,91892,92600,91066,92600],"interval_residues":[206,88,206,88,206,88],"display_cycle":[206,88,206,88,206,88],"intervals":[{"from_index":105,"to_index":337,"sum":100152,"residue":206},{"from_index":337,"to_index":569,"sum":92600,"residue":88},{"from_index":569,"to_index":801,"sum":91892,"residue":206},{"from_index":801,"to_index":1033,"sum":92600,"residue":88},{"from_index":1033,"to_index":1265,"sum":91066,"residue":206},{"from_index":1265,"to_index":105,"sum":92600,"residue":88}],"minimal_cycle":[206,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[105,337],"circle_positions":826,"cycle_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":[106,338,570,802,1034,1266],"clock_positions":[106,338,570,802,1034,1266],"native_values":[181,771,594,771,181,358],"rotation_degrees":27.413793103448278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,771,594,771,181,358],"beta":{"interval_sums":[100532,92626,91446,92626,91446,92626],"interval_residues":[586,114,586,114,586,114],"display_cycle":[586,114,586,114,586,114],"intervals":[{"from_index":106,"to_index":338,"sum":100532,"residue":586},{"from_index":338,"to_index":570,"sum":92626,"residue":114},{"from_index":570,"to_index":802,"sum":91446,"residue":586},{"from_index":802,"to_index":1034,"sum":92626,"residue":114},{"from_index":1034,"to_index":1266,"sum":91446,"residue":586},{"from_index":1266,"to_index":106,"sum":92626,"residue":114}],"minimal_cycle":[586,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[106,338],"circle_positions":826,"cycle_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":[107,339,571,803,1035,1267],"clock_positions":[107,339,571,803,1035,1267],"native_values":[565,506,565,93,152,93],"rotation_degrees":27.67241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,506,565,93,152,93],"beta":{"interval_sums":[100738,92714,91652,92714,91652,92714],"interval_residues":[792,202,792,202,792,202],"display_cycle":[792,202,792,202,792,202],"intervals":[{"from_index":107,"to_index":339,"sum":100738,"residue":792},{"from_index":339,"to_index":571,"sum":92714,"residue":202},{"from_index":571,"to_index":803,"sum":91652,"residue":792},{"from_index":803,"to_index":1035,"sum":92714,"residue":202},{"from_index":1035,"to_index":1267,"sum":91652,"residue":792},{"from_index":1267,"to_index":107,"sum":92714,"residue":202}],"minimal_cycle":[792,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[107,339],"circle_positions":826,"cycle_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":[108,340,572,804,1036,1268],"clock_positions":[108,340,572,804,1036,1268],"native_values":[746,451,333,38,333,451],"rotation_degrees":27.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[746,451,333,38,333,451],"beta":{"interval_sums":[100498,92828,91412,92828,91412,92828],"interval_residues":[552,316,552,316,552,316],"display_cycle":[552,316,552,316,552,316],"intervals":[{"from_index":108,"to_index":340,"sum":100498,"residue":552},{"from_index":340,"to_index":572,"sum":92828,"residue":316},{"from_index":572,"to_index":804,"sum":91412,"residue":552},{"from_index":804,"to_index":1036,"sum":92828,"residue":316},{"from_index":1036,"to_index":1268,"sum":91412,"residue":552},{"from_index":1268,"to_index":108,"sum":92828,"residue":316}],"minimal_cycle":[552,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[108,340],"circle_positions":826,"cycle_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":[109,341,573,805,1037,1269],"clock_positions":[109,341,573,805,1037,1269],"native_values":[485,131,72,131,485,544],"rotation_degrees":28.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,131,72,131,485,544],"beta":{"interval_sums":[100464,93030,91378,93030,91378,93030],"interval_residues":[518,518,518,518,518,518],"display_cycle":[518,518,518,518,518,518],"intervals":[{"from_index":109,"to_index":341,"sum":100464,"residue":518},{"from_index":341,"to_index":573,"sum":93030,"residue":518},{"from_index":573,"to_index":805,"sum":91378,"residue":518},{"from_index":805,"to_index":1037,"sum":93030,"residue":518},{"from_index":1037,"to_index":1269,"sum":91378,"residue":518},{"from_index":1269,"to_index":109,"sum":93030,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[109,341],"circle_positions":826,"cycle_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":[110,342,574,806,1038,1270],"clock_positions":[110,342,574,806,1038,1270],"native_values":[405,582,405,169,818,169],"rotation_degrees":28.448275862068964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,582,405,169,818,169],"beta":{"interval_sums":[100190,92520,91104,93346,91104,93346],"interval_residues":[244,8,244,8,244,8],"display_cycle":[244,8,244,8,244,8],"intervals":[{"from_index":110,"to_index":342,"sum":100190,"residue":244},{"from_index":342,"to_index":574,"sum":92520,"residue":8},{"from_index":574,"to_index":806,"sum":91104,"residue":244},{"from_index":806,"to_index":1038,"sum":93346,"residue":8},{"from_index":1038,"to_index":1270,"sum":91104,"residue":244},{"from_index":1270,"to_index":110,"sum":93346,"residue":8}],"minimal_cycle":[244,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[110,342],"circle_positions":826,"cycle_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":[111,343,575,807,1039,1271],"clock_positions":[111,343,575,807,1039,1271],"native_values":[64,713,477,300,477,713],"rotation_degrees":28.70689655172414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,713,477,300,477,713],"beta":{"interval_sums":[100708,92212,90796,93864,90796,93038],"interval_residues":[762,526,762,526,762,526],"display_cycle":[762,526,762,526,762,526],"intervals":[{"from_index":111,"to_index":343,"sum":100708,"residue":762},{"from_index":343,"to_index":575,"sum":92212,"residue":526},{"from_index":575,"to_index":807,"sum":90796,"residue":762},{"from_index":807,"to_index":1039,"sum":93864,"residue":526},{"from_index":1039,"to_index":1271,"sum":90796,"residue":762},{"from_index":1271,"to_index":111,"sum":93038,"residue":526}],"minimal_cycle":[762,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[111,343],"circle_positions":826,"cycle_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":[112,344,576,808,1040,1272],"clock_positions":[112,344,576,808,1040,1272],"native_values":[469,469,56,469,469,56],"rotation_degrees":28.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,469,56],"beta":{"interval_sums":[100952,92220,91040,93872,91040,93046],"interval_residues":[180,534,180,534,180,534],"display_cycle":[180,534,180,534,180,534],"intervals":[{"from_index":112,"to_index":344,"sum":100952,"residue":180},{"from_index":344,"to_index":576,"sum":92220,"residue":534},{"from_index":576,"to_index":808,"sum":91040,"residue":180},{"from_index":808,"to_index":1040,"sum":93872,"residue":534},{"from_index":1040,"to_index":1272,"sum":91040,"residue":180},{"from_index":1272,"to_index":112,"sum":93046,"residue":534}],"minimal_cycle":[180,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[112,344],"circle_positions":826,"cycle_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":[113,345,577,809,1041,1273],"clock_positions":[113,345,577,809,1041,1273],"native_values":[533,356,533,769,120,769],"rotation_degrees":29.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,356,533,769,120,769],"beta":{"interval_sums":[100888,91920,90976,93572,90976,92746],"interval_residues":[116,234,116,234,116,234],"display_cycle":[116,234,116,234,116,234],"intervals":[{"from_index":113,"to_index":345,"sum":100888,"residue":116},{"from_index":345,"to_index":577,"sum":91920,"residue":234},{"from_index":577,"to_index":809,"sum":90976,"residue":116},{"from_index":809,"to_index":1041,"sum":93572,"residue":234},{"from_index":1041,"to_index":1273,"sum":90976,"residue":116},{"from_index":1273,"to_index":113,"sum":92746,"residue":234}],"minimal_cycle":[116,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[113,345],"circle_positions":826,"cycle_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":[114,346,578,810,1042,1274],"clock_positions":[114,346,578,810,1042,1274],"native_values":[176,825,589,412,589,825],"rotation_degrees":29.482758620689655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,825,589,412,589,825],"beta":{"interval_sums":[101068,91628,91156,93280,91156,92454],"interval_residues":[296,768,296,768,296,768],"display_cycle":[296,768,296,768,296,768],"intervals":[{"from_index":114,"to_index":346,"sum":101068,"residue":296},{"from_index":346,"to_index":578,"sum":91628,"residue":768},{"from_index":578,"to_index":810,"sum":91156,"residue":296},{"from_index":810,"to_index":1042,"sum":93280,"residue":768},{"from_index":1042,"to_index":1274,"sum":91156,"residue":296},{"from_index":1274,"to_index":114,"sum":92454,"residue":768}],"minimal_cycle":[296,768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[114,346],"circle_positions":826,"cycle_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":[115,347,579,811,1043,1275],"clock_positions":[115,347,579,811,1043,1275],"native_values":[709,355,296,355,709,768],"rotation_degrees":29.74137931034483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,355,296,355,709,768],"beta":{"interval_sums":[101184,91862,91272,93514,91272,91862],"interval_residues":[412,176,412,176,412,176],"display_cycle":[412,176,412,176,412,176],"intervals":[{"from_index":115,"to_index":347,"sum":101184,"residue":412},{"from_index":347,"to_index":579,"sum":91862,"residue":176},{"from_index":579,"to_index":811,"sum":91272,"residue":412},{"from_index":811,"to_index":1043,"sum":93514,"residue":176},{"from_index":1043,"to_index":1275,"sum":91272,"residue":412},{"from_index":1275,"to_index":115,"sum":91862,"residue":176}],"minimal_cycle":[412,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[115,347],"circle_positions":826,"cycle_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":[116,348,580,812,1044,1276],"clock_positions":[116,348,580,812,1044,1276],"native_values":[59,354,59,767,472,767],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,354,59,767,472,767],"beta":{"interval_sums":[101480,91804,91568,93456,91568,91804],"interval_residues":[708,118,708,118,708,118],"display_cycle":[708,118,708,118,708,118],"intervals":[{"from_index":116,"to_index":348,"sum":101480,"residue":708},{"from_index":348,"to_index":580,"sum":91804,"residue":118},{"from_index":580,"to_index":812,"sum":91568,"residue":708},{"from_index":812,"to_index":1044,"sum":93456,"residue":118},{"from_index":1044,"to_index":1276,"sum":91568,"residue":708},{"from_index":1276,"to_index":116,"sum":91804,"residue":118}],"minimal_cycle":[708,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":708,"start_interval_clock_positions":[116,348],"circle_positions":826,"cycle_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":[117,349,581,813,1045,1277],"clock_positions":[117,349,581,813,1045,1277],"native_values":[768,709,355,296,355,709],"rotation_degrees":30.25862068965517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,709,355,296,355,709],"beta":{"interval_sums":[101066,91154,91980,93632,91980,91154],"interval_residues":[294,294,294,294,294,294],"display_cycle":[294,294,294,294,294,294],"intervals":[{"from_index":117,"to_index":349,"sum":101066,"residue":294},{"from_index":349,"to_index":581,"sum":91154,"residue":294},{"from_index":581,"to_index":813,"sum":91980,"residue":294},{"from_index":813,"to_index":1045,"sum":93632,"residue":294},{"from_index":1045,"to_index":1277,"sum":91980,"residue":294},{"from_index":1277,"to_index":117,"sum":91154,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[117,349],"circle_positions":826,"cycle_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":[118,350,582,814,1046,1278],"clock_positions":[118,350,582,814,1046,1278],"native_values":[1,237,414,237,1,650],"rotation_degrees":30.517241379310345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,237,414,237,1,650],"beta":{"interval_sums":[101774,91272,91862,93750,92688,91272],"interval_residues":[176,412,176,412,176,412],"display_cycle":[176,412,176,412,176,412],"intervals":[{"from_index":118,"to_index":350,"sum":101774,"residue":176},{"from_index":350,"to_index":582,"sum":91272,"residue":412},{"from_index":582,"to_index":814,"sum":91862,"residue":176},{"from_index":814,"to_index":1046,"sum":93750,"residue":412},{"from_index":1046,"to_index":1278,"sum":92688,"residue":176},{"from_index":1278,"to_index":118,"sum":91272,"residue":412}],"minimal_cycle":[176,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[118,350],"circle_positions":826,"cycle_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":[119,351,583,815,1047,1279],"clock_positions":[119,351,583,815,1047,1279],"native_values":[769,120,769,533,356,533],"rotation_degrees":30.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,120,769,533,356,533],"beta":{"interval_sums":[101242,91566,91330,93218,92982,90740],"interval_residues":[470,706,470,706,470,706],"display_cycle":[470,706,470,706,470,706],"intervals":[{"from_index":119,"to_index":351,"sum":101242,"residue":470},{"from_index":351,"to_index":583,"sum":91566,"residue":706},{"from_index":583,"to_index":815,"sum":91330,"residue":470},{"from_index":815,"to_index":1047,"sum":93218,"residue":706},{"from_index":1047,"to_index":1279,"sum":92982,"residue":470},{"from_index":1279,"to_index":119,"sum":90740,"residue":706}],"minimal_cycle":[470,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[119,351],"circle_positions":826,"cycle_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":[120,352,584,816,1048,1280],"clock_positions":[120,352,584,816,1048,1280],"native_values":[770,357,357,770,357,357],"rotation_degrees":31.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[770,357,357],"beta":{"interval_sums":[100592,91978,91506,92804,93158,91152],"interval_residues":[646,292,646,292,646,292],"display_cycle":[646,292,646,292,646,292],"intervals":[{"from_index":120,"to_index":352,"sum":100592,"residue":646},{"from_index":352,"to_index":584,"sum":91978,"residue":292},{"from_index":584,"to_index":816,"sum":91506,"residue":646},{"from_index":816,"to_index":1048,"sum":92804,"residue":292},{"from_index":1048,"to_index":1280,"sum":93158,"residue":646},{"from_index":1280,"to_index":120,"sum":91152,"residue":292}],"minimal_cycle":[646,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[120,352],"circle_positions":826,"cycle_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":[121,353,585,817,1049,1281],"clock_positions":[121,353,585,817,1049,1281],"native_values":[713,477,300,477,713,64],"rotation_degrees":31.29310344827586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,477,300,477,713,64],"beta":{"interval_sums":[100236,91858,91976,92684,92802,91858],"interval_residues":[290,172,290,172,290,172],"display_cycle":[290,172,290,172,290,172],"intervals":[{"from_index":121,"to_index":353,"sum":100236,"residue":290},{"from_index":353,"to_index":585,"sum":91858,"residue":172},{"from_index":585,"to_index":817,"sum":91976,"residue":290},{"from_index":817,"to_index":1049,"sum":92684,"residue":172},{"from_index":1049,"to_index":1281,"sum":92802,"residue":290},{"from_index":1281,"to_index":121,"sum":91858,"residue":172}],"minimal_cycle":[290,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[121,353],"circle_positions":826,"cycle_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":[122,354,586,818,1050,1282],"clock_positions":[122,354,586,818,1050,1282],"native_values":[657,8,657,421,244,421],"rotation_degrees":31.551724137931036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,8,657,421,244,421],"beta":{"interval_sums":[100056,92150,91796,92976,92622,92150],"interval_residues":[110,464,110,464,110,464],"display_cycle":[110,464,110,464,110,464],"intervals":[{"from_index":122,"to_index":354,"sum":100056,"residue":110},{"from_index":354,"to_index":586,"sum":92150,"residue":464},{"from_index":586,"to_index":818,"sum":91796,"residue":110},{"from_index":818,"to_index":1050,"sum":92976,"residue":464},{"from_index":1050,"to_index":1282,"sum":92622,"residue":110},{"from_index":1282,"to_index":122,"sum":92150,"residue":464}],"minimal_cycle":[110,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[122,354],"circle_positions":826,"cycle_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":[123,355,587,819,1051,1283],"clock_positions":[123,355,587,819,1051,1283],"native_values":[544,485,131,72,131,485],"rotation_degrees":31.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,485,131,72,131,485],"beta":{"interval_sums":[99520,92322,92086,93148,92912,92322],"interval_residues":[400,636,400,636,400,636],"display_cycle":[400,636,400,636,400,636],"intervals":[{"from_index":123,"to_index":355,"sum":99520,"residue":400},{"from_index":355,"to_index":587,"sum":92322,"residue":636},{"from_index":587,"to_index":819,"sum":92086,"residue":400},{"from_index":819,"to_index":1051,"sum":93148,"residue":636},{"from_index":1051,"to_index":1283,"sum":92912,"residue":400},{"from_index":1283,"to_index":123,"sum":92322,"residue":636}],"minimal_cycle":[400,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[123,355],"circle_positions":826,"cycle_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":[124,356,588,820,1052,1284],"clock_positions":[124,356,588,820,1052,1284],"native_values":[375,493,788,493,375,80],"rotation_degrees":32.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,493,788,493,375,80],"beta":{"interval_sums":[99630,91960,91370,92786,93022,92786],"interval_residues":[510,274,510,274,510,274],"display_cycle":[510,274,510,274,510,274],"intervals":[{"from_index":124,"to_index":356,"sum":99630,"residue":510},{"from_index":356,"to_index":588,"sum":91960,"residue":274},{"from_index":588,"to_index":820,"sum":91370,"residue":510},{"from_index":820,"to_index":1052,"sum":92786,"residue":274},{"from_index":1052,"to_index":1284,"sum":93022,"residue":510},{"from_index":1284,"to_index":124,"sum":92786,"residue":274}],"minimal_cycle":[510,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[124,356],"circle_positions":826,"cycle_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":[125,357,589,821,1053,1285],"clock_positions":[125,357,589,821,1053,1285],"native_values":[93,152,93,565,506,565],"rotation_degrees":32.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,152,93,565,506,565],"beta":{"interval_sums":[100030,92596,91770,92596,92596,92596],"interval_residues":[84,84,84,84,84,84],"display_cycle":[84,84,84,84,84,84],"intervals":[{"from_index":125,"to_index":357,"sum":100030,"residue":84},{"from_index":357,"to_index":589,"sum":92596,"residue":84},{"from_index":589,"to_index":821,"sum":91770,"residue":84},{"from_index":821,"to_index":1053,"sum":92596,"residue":84},{"from_index":1053,"to_index":1285,"sum":92596,"residue":84},{"from_index":1285,"to_index":125,"sum":92596,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[125,357],"circle_positions":826,"cycle_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":[126,358,590,822,1054,1286],"clock_positions":[126,358,590,822,1054,1286],"native_values":[468,645,55,232,55,645],"rotation_degrees":32.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[468,645,55,232,55,645],"beta":{"interval_sums":[99714,92044,92280,92870,93106,92044],"interval_residues":[594,358,594,358,594,358],"display_cycle":[594,358,594,358,594,358],"intervals":[{"from_index":126,"to_index":358,"sum":99714,"residue":594},{"from_index":358,"to_index":590,"sum":92044,"residue":358},{"from_index":590,"to_index":822,"sum":92280,"residue":594},{"from_index":822,"to_index":1054,"sum":92870,"residue":358},{"from_index":1054,"to_index":1286,"sum":93106,"residue":594},{"from_index":1286,"to_index":126,"sum":92044,"residue":358}],"minimal_cycle":[594,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[126,358],"circle_positions":826,"cycle_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":[127,359,591,823,1055,1287],"clock_positions":[127,359,591,823,1055,1287],"native_values":[561,797,148,797,561,384],"rotation_degrees":32.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,797,148,797,561,384],"beta":{"interval_sums":[99798,91302,92364,92128,93190,92128],"interval_residues":[678,442,678,442,678,442],"display_cycle":[678,442,678,442,678,442],"intervals":[{"from_index":127,"to_index":359,"sum":99798,"residue":678},{"from_index":359,"to_index":591,"sum":91302,"residue":442},{"from_index":591,"to_index":823,"sum":92364,"residue":678},{"from_index":823,"to_index":1055,"sum":92128,"residue":442},{"from_index":1055,"to_index":1287,"sum":93190,"residue":678},{"from_index":1287,"to_index":127,"sum":92128,"residue":442}],"minimal_cycle":[678,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[127,359],"circle_positions":826,"cycle_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":[128,360,592,824,1056,1288],"clock_positions":[128,360,592,824,1056,1288],"native_values":[203,616,203,203,616,203],"rotation_degrees":33.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,616,203],"beta":{"interval_sums":[100392,90834,92958,92486,92958,92486],"interval_residues":[446,800,446,800,446,800],"display_cycle":[446,800,446,800,446,800],"intervals":[{"from_index":128,"to_index":360,"sum":100392,"residue":446},{"from_index":360,"to_index":592,"sum":90834,"residue":800},{"from_index":592,"to_index":824,"sum":92958,"residue":446},{"from_index":824,"to_index":1056,"sum":92486,"residue":800},{"from_index":1056,"to_index":1288,"sum":92958,"residue":446},{"from_index":1288,"to_index":128,"sum":92486,"residue":800}],"minimal_cycle":[446,800],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[128,360],"circle_positions":826,"cycle_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":[129,361,593,825,1057,1289],"clock_positions":[129,361,593,825,1057,1289],"native_values":[764,587,351,174,351,587],"rotation_degrees":33.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,587,351,174,351,587],"beta":{"interval_sums":[100244,90450,92810,92928,92810,92102],"interval_residues":[298,416,298,416,298,416],"display_cycle":[298,416,298,416,298,416],"intervals":[{"from_index":129,"to_index":361,"sum":100244,"residue":298},{"from_index":361,"to_index":593,"sum":90450,"residue":416},{"from_index":593,"to_index":825,"sum":92810,"residue":298},{"from_index":825,"to_index":1057,"sum":92928,"residue":416},{"from_index":1057,"to_index":1289,"sum":92810,"residue":298},{"from_index":1289,"to_index":129,"sum":92102,"residue":416}],"minimal_cycle":[298,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[129,361],"circle_positions":826,"cycle_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":[130,362,594,826,1058,1290],"clock_positions":[130,362,594,826,1058,1290],"native_values":[141,377,554,377,141,790],"rotation_degrees":33.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,377,554,377,141,790],"beta":{"interval_sums":[100690,90424,92430,92902,93256,92076],"interval_residues":[744,390,744,390,744,390],"display_cycle":[744,390,744,390,744,390],"intervals":[{"from_index":130,"to_index":362,"sum":100690,"residue":744},{"from_index":362,"to_index":594,"sum":90424,"residue":390},{"from_index":594,"to_index":826,"sum":92430,"residue":744},{"from_index":826,"to_index":1058,"sum":92902,"residue":390},{"from_index":1058,"to_index":1290,"sum":93256,"residue":744},{"from_index":1290,"to_index":130,"sum":92076,"residue":390}],"minimal_cycle":[744,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":744,"start_interval_clock_positions":[130,362],"circle_positions":826,"cycle_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":[131,363,595,827,1059,1291],"clock_positions":[131,363,595,827,1059,1291],"native_values":[79,138,79,551,492,551],"rotation_degrees":33.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,138,79,551,492,551],"beta":{"interval_sums":[100988,90840,92728,92492,93554,91666],"interval_residues":[216,806,216,806,216,806],"display_cycle":[216,806,216,806,216,806],"intervals":[{"from_index":131,"to_index":363,"sum":100988,"residue":216},{"from_index":363,"to_index":595,"sum":90840,"residue":806},{"from_index":595,"to_index":827,"sum":92728,"residue":216},{"from_index":827,"to_index":1059,"sum":92492,"residue":806},{"from_index":1059,"to_index":1291,"sum":93554,"residue":216},{"from_index":1291,"to_index":131,"sum":91666,"residue":806}],"minimal_cycle":[216,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[131,363],"circle_positions":826,"cycle_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":[132,364,596,828,1060,1292],"clock_positions":[132,364,596,828,1060,1292],"native_values":[220,515,633,102,633,515],"rotation_degrees":34.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,515,633,102,633,515],"beta":{"interval_sums":[100906,90404,92646,92882,93472,91230],"interval_residues":[134,370,134,370,134,370],"display_cycle":[134,370,134,370,134,370],"intervals":[{"from_index":132,"to_index":364,"sum":100906,"residue":134},{"from_index":364,"to_index":596,"sum":90404,"residue":370},{"from_index":596,"to_index":828,"sum":92646,"residue":134},{"from_index":828,"to_index":1060,"sum":92882,"residue":370},{"from_index":1060,"to_index":1292,"sum":93472,"residue":134},{"from_index":1292,"to_index":132,"sum":91230,"residue":370}],"minimal_cycle":[134,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[132,364],"circle_positions":826,"cycle_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":[133,365,597,829,1061,1293],"clock_positions":[133,365,597,829,1061,1293],"native_values":[299,653,712,653,299,240],"rotation_degrees":34.39655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,653,712,653,299,240],"beta":{"interval_sums":[101122,90384,92036,92862,93688,91210],"interval_residues":[350,350,350,350,350,350],"display_cycle":[350,350,350,350,350,350],"intervals":[{"from_index":133,"to_index":365,"sum":101122,"residue":350},{"from_index":365,"to_index":597,"sum":90384,"residue":350},{"from_index":597,"to_index":829,"sum":92036,"residue":350},{"from_index":829,"to_index":1061,"sum":92862,"residue":350},{"from_index":1061,"to_index":1293,"sum":93688,"residue":350},{"from_index":1293,"to_index":133,"sum":91210,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[133,365],"circle_positions":826,"cycle_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":[134,366,598,830,1062,1294],"clock_positions":[134,366,598,830,1062,1294],"native_values":[519,342,519,755,106,755],"rotation_degrees":34.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,342,519,755,106,755],"beta":{"interval_sums":[101256,90754,92170,92406,93822,90754],"interval_residues":[484,720,484,720,484,720],"display_cycle":[484,720,484,720,484,720],"intervals":[{"from_index":134,"to_index":366,"sum":101256,"residue":484},{"from_index":366,"to_index":598,"sum":90754,"residue":720},{"from_index":598,"to_index":830,"sum":92170,"residue":484},{"from_index":830,"to_index":1062,"sum":92406,"residue":720},{"from_index":1062,"to_index":1294,"sum":93822,"residue":484},{"from_index":1294,"to_index":134,"sum":90754,"residue":720}],"minimal_cycle":[484,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[134,366],"circle_positions":826,"cycle_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":[135,367,599,831,1063,1295],"clock_positions":[135,367,599,831,1063,1295],"native_values":[818,169,405,582,405,169],"rotation_degrees":34.91379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[818,169,405,582,405,169],"beta":{"interval_sums":[100780,91104,92520,91930,94172,91104],"interval_residues":[8,244,8,244,8,244],"display_cycle":[8,244,8,244,8,244],"intervals":[{"from_index":135,"to_index":367,"sum":100780,"residue":8},{"from_index":367,"to_index":599,"sum":91104,"residue":244},{"from_index":599,"to_index":831,"sum":92520,"residue":8},{"from_index":831,"to_index":1063,"sum":91930,"residue":244},{"from_index":1063,"to_index":1295,"sum":94172,"residue":8},{"from_index":1295,"to_index":135,"sum":91104,"residue":244}],"minimal_cycle":[8,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[135,367],"circle_positions":826,"cycle_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":[136,368,600,832,1064,1296],"clock_positions":[136,368,600,832,1064,1296],"native_values":[511,511,98,511,511,98],"rotation_degrees":35.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[511,511,98],"beta":{"interval_sums":[100438,90998,93004,91824,93830,91824],"interval_residues":[492,138,492,138,492,138],"display_cycle":[492,138,492,138,492,138],"intervals":[{"from_index":136,"to_index":368,"sum":100438,"residue":492},{"from_index":368,"to_index":600,"sum":90998,"residue":138},{"from_index":600,"to_index":832,"sum":93004,"residue":492},{"from_index":832,"to_index":1064,"sum":91824,"residue":138},{"from_index":1064,"to_index":1296,"sum":93830,"residue":492},{"from_index":1296,"to_index":136,"sum":91824,"residue":138}],"minimal_cycle":[492,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[136,368],"circle_positions":826,"cycle_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":[137,369,601,833,1065,1297],"clock_positions":[137,369,601,833,1065,1297],"native_values":[503,680,503,267,90,267],"rotation_degrees":35.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,680,503,267,90,267],"beta":{"interval_sums":[100446,90416,93012,92068,93838,92068],"interval_residues":[500,382,500,382,500,382],"display_cycle":[500,382,500,382,500,382],"intervals":[{"from_index":137,"to_index":369,"sum":100446,"residue":500},{"from_index":369,"to_index":601,"sum":90416,"residue":382},{"from_index":601,"to_index":833,"sum":93012,"residue":500},{"from_index":833,"to_index":1065,"sum":92068,"residue":382},{"from_index":1065,"to_index":1297,"sum":93838,"residue":500},{"from_index":1297,"to_index":137,"sum":92068,"residue":382}],"minimal_cycle":[500,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[137,369],"circle_positions":826,"cycle_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":[138,370,602,834,1066,1298],"clock_positions":[138,370,602,834,1066,1298],"native_values":[188,365,601,778,601,365],"rotation_degrees":35.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,365,601,778,601,365],"beta":{"interval_sums":[100938,90554,92678,91380,93504,92206],"interval_residues":[166,520,166,520,166,520],"display_cycle":[166,520,166,520,166,520],"intervals":[{"from_index":138,"to_index":370,"sum":100938,"residue":166},{"from_index":370,"to_index":602,"sum":90554,"residue":520},{"from_index":602,"to_index":834,"sum":92678,"residue":166},{"from_index":834,"to_index":1066,"sum":91380,"residue":520},{"from_index":1066,"to_index":1298,"sum":93504,"residue":166},{"from_index":1298,"to_index":138,"sum":92206,"residue":520}],"minimal_cycle":[166,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[138,370],"circle_positions":826,"cycle_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":[139,371,603,835,1067,1299],"clock_positions":[139,371,603,835,1067,1299],"native_values":[691,219,278,219,691,632],"rotation_degrees":35.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,219,278,219,691,632],"beta":{"interval_sums":[100612,90936,93178,91762,93178,91762],"interval_residues":[666,76,666,76,666,76],"display_cycle":[666,76,666,76,666,76],"intervals":[{"from_index":139,"to_index":371,"sum":100612,"residue":666},{"from_index":371,"to_index":603,"sum":90936,"residue":76},{"from_index":603,"to_index":835,"sum":93178,"residue":666},{"from_index":835,"to_index":1067,"sum":91762,"residue":76},{"from_index":1067,"to_index":1299,"sum":93178,"residue":666},{"from_index":1299,"to_index":139,"sum":91762,"residue":76}],"minimal_cycle":[666,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[139,371],"circle_positions":826,"cycle_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":[140,372,604,836,1068,1300],"clock_positions":[140,372,604,836,1068,1300],"native_values":[53,584,53,171,466,171],"rotation_degrees":36.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,584,53,171,466,171],"beta":{"interval_sums":[100778,90630,93344,92282,93344,92282],"interval_residues":[6,596,6,596,6,596],"display_cycle":[6,596,6,596,6,596],"intervals":[{"from_index":140,"to_index":372,"sum":100778,"residue":6},{"from_index":372,"to_index":604,"sum":90630,"residue":596},{"from_index":604,"to_index":836,"sum":93344,"residue":6},{"from_index":836,"to_index":1068,"sum":92282,"residue":596},{"from_index":1068,"to_index":1300,"sum":93344,"residue":6},{"from_index":1300,"to_index":140,"sum":92282,"residue":596}],"minimal_cycle":[6,596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[140,372],"circle_positions":826,"cycle_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":[141,373,605,837,1069,1301],"clock_positions":[141,373,605,837,1069,1301],"native_values":[744,803,331,390,331,803],"rotation_degrees":36.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,803,331,390,331,803],"beta":{"interval_sums":[100618,89880,93184,92358,93184,91532],"interval_residues":[672,672,672,672,672,672],"display_cycle":[672,672,672,672,672,672],"intervals":[{"from_index":141,"to_index":373,"sum":100618,"residue":672},{"from_index":373,"to_index":605,"sum":89880,"residue":672},{"from_index":605,"to_index":837,"sum":93184,"residue":672},{"from_index":837,"to_index":1069,"sum":92358,"residue":672},{"from_index":1069,"to_index":1301,"sum":93184,"residue":672},{"from_index":1301,"to_index":141,"sum":91532,"residue":672}],"minimal_cycle":[672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[141,373],"circle_positions":826,"cycle_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":[142,374,606,838,1070,1302],"clock_positions":[142,374,606,838,1070,1302],"native_values":[797,561,384,561,797,148],"rotation_degrees":36.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,561,384,561,797,148],"beta":{"interval_sums":[100624,89650,93190,92128,93190,92128],"interval_residues":[678,442,678,442,678,442],"display_cycle":[678,442,678,442,678,442],"intervals":[{"from_index":142,"to_index":374,"sum":100624,"residue":678},{"from_index":374,"to_index":606,"sum":89650,"residue":442},{"from_index":606,"to_index":838,"sum":93190,"residue":678},{"from_index":838,"to_index":1070,"sum":92128,"residue":442},{"from_index":1070,"to_index":1302,"sum":93190,"residue":678},{"from_index":1302,"to_index":142,"sum":92128,"residue":442}],"minimal_cycle":[678,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[142,374],"circle_positions":826,"cycle_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":[143,375,607,839,1071,1303],"clock_positions":[143,375,607,839,1071,1303],"native_values":[715,538,715,125,302,125],"rotation_degrees":36.98275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,538,715,125,302,125],"beta":{"interval_sums":[100470,89496,93036,92800,93036,92800],"interval_residues":[524,288,524,288,524,288],"display_cycle":[524,288,524,288,524,288],"intervals":[{"from_index":143,"to_index":375,"sum":100470,"residue":524},{"from_index":375,"to_index":607,"sum":89496,"residue":288},{"from_index":607,"to_index":839,"sum":93036,"residue":524},{"from_index":839,"to_index":1071,"sum":92800,"residue":288},{"from_index":1071,"to_index":1303,"sum":93036,"residue":524},{"from_index":1303,"to_index":143,"sum":92800,"residue":288}],"minimal_cycle":[524,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[143,375],"circle_positions":826,"cycle_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":[144,376,608,840,1072,1304],"clock_positions":[144,376,608,840,1072,1304],"native_values":[686,273,273,686,273,273],"rotation_degrees":37.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[686,273,273],"beta":{"interval_sums":[100322,89938,92888,92416,92888,93242],"interval_residues":[376,730,376,730,376,730],"display_cycle":[376,730,376,730,376,730],"intervals":[{"from_index":144,"to_index":376,"sum":100322,"residue":376},{"from_index":376,"to_index":608,"sum":89938,"residue":730},{"from_index":608,"to_index":840,"sum":92888,"residue":376},{"from_index":840,"to_index":1072,"sum":92416,"residue":730},{"from_index":1072,"to_index":1304,"sum":92888,"residue":376},{"from_index":1304,"to_index":144,"sum":93242,"residue":730}],"minimal_cycle":[376,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[144,376],"circle_positions":826,"cycle_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":[145,377,609,841,1073,1305],"clock_positions":[145,377,609,841,1073,1305],"native_values":[575,811,162,811,575,398],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,811,162,811,575,398],"beta":{"interval_sums":[100020,89400,93412,91878,92586,93530],"interval_residues":[74,192,74,192,74,192],"display_cycle":[74,192,74,192,74,192],"intervals":[{"from_index":145,"to_index":377,"sum":100020,"residue":74},{"from_index":377,"to_index":609,"sum":89400,"residue":192},{"from_index":609,"to_index":841,"sum":93412,"residue":74},{"from_index":841,"to_index":1073,"sum":91878,"residue":192},{"from_index":1073,"to_index":1305,"sum":92586,"residue":74},{"from_index":1305,"to_index":145,"sum":93530,"residue":192}],"minimal_cycle":[74,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[145,377],"circle_positions":826,"cycle_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":[146,378,610,842,1074,1306],"clock_positions":[146,378,610,842,1074,1306],"native_values":[435,258,435,671,22,671],"rotation_degrees":37.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,258,435,671,22,671],"beta":{"interval_sums":[100396,89304,93788,91782,92962,93434],"interval_residues":[450,96,450,96,450,96],"display_cycle":[450,96,450,96,450,96],"intervals":[{"from_index":146,"to_index":378,"sum":100396,"residue":450},{"from_index":378,"to_index":610,"sum":89304,"residue":96},{"from_index":610,"to_index":842,"sum":93788,"residue":450},{"from_index":842,"to_index":1074,"sum":91782,"residue":96},{"from_index":1074,"to_index":1306,"sum":92962,"residue":450},{"from_index":1306,"to_index":146,"sum":93434,"residue":96}],"minimal_cycle":[450,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[146,378],"circle_positions":826,"cycle_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":[147,379,611,843,1075,1307],"clock_positions":[147,379,611,843,1075,1307],"native_values":[184,243,597,656,597,243],"rotation_degrees":38.01724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,243,597,656,597,243],"beta":{"interval_sums":[100470,89496,93862,91148,93036,93626],"interval_residues":[524,288,524,288,524,288],"display_cycle":[524,288,524,288,524,288],"intervals":[{"from_index":147,"to_index":379,"sum":100470,"residue":524},{"from_index":379,"to_index":611,"sum":89496,"residue":288},{"from_index":611,"to_index":843,"sum":93862,"residue":524},{"from_index":843,"to_index":1075,"sum":91148,"residue":288},{"from_index":1075,"to_index":1307,"sum":93036,"residue":524},{"from_index":1307,"to_index":147,"sum":93626,"residue":288}],"minimal_cycle":[524,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[147,379],"circle_positions":826,"cycle_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":[148,380,612,844,1076,1308],"clock_positions":[148,380,612,844,1076,1308],"native_values":[619,501,206,501,619,88],"rotation_degrees":38.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,501,206,501,619,88],"beta":{"interval_sums":[100094,89592,94312,91244,92660,93722],"interval_residues":[148,384,148,384,148,384],"display_cycle":[148,384,148,384,148,384],"intervals":[{"from_index":148,"to_index":380,"sum":100094,"residue":148},{"from_index":380,"to_index":612,"sum":89592,"residue":384},{"from_index":612,"to_index":844,"sum":94312,"residue":148},{"from_index":844,"to_index":1076,"sum":91244,"residue":384},{"from_index":1076,"to_index":1308,"sum":92660,"residue":148},{"from_index":1308,"to_index":148,"sum":93722,"residue":384}],"minimal_cycle":[148,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[148,380],"circle_positions":826,"cycle_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":[149,381,613,845,1077,1309],"clock_positions":[149,381,613,845,1077,1309],"native_values":[803,744,803,331,390,331],"rotation_degrees":38.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[803,744,803,331,390,331],"beta":{"interval_sums":[99792,89054,94010,91532,92358,94010],"interval_residues":[672,672,672,672,672,672],"display_cycle":[672,672,672,672,672,672],"intervals":[{"from_index":149,"to_index":381,"sum":99792,"residue":672},{"from_index":381,"to_index":613,"sum":89054,"residue":672},{"from_index":613,"to_index":845,"sum":94010,"residue":672},{"from_index":845,"to_index":1077,"sum":91532,"residue":672},{"from_index":1077,"to_index":1309,"sum":92358,"residue":672},{"from_index":1309,"to_index":149,"sum":94010,"residue":672}],"minimal_cycle":[672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[149,381],"circle_positions":826,"cycle_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":[150,382,614,846,1078,1310],"clock_positions":[150,382,614,846,1078,1310],"native_values":[596,419,183,6,183,419],"rotation_degrees":38.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,419,183,6,183,419],"beta":{"interval_sums":[99940,89438,94158,91916,92506,94394],"interval_residues":[820,230,820,230,820,230],"display_cycle":[820,230,820,230,820,230],"intervals":[{"from_index":150,"to_index":382,"sum":99940,"residue":820},{"from_index":382,"to_index":614,"sum":89438,"residue":230},{"from_index":614,"to_index":846,"sum":94158,"residue":820},{"from_index":846,"to_index":1078,"sum":91916,"residue":230},{"from_index":1078,"to_index":1310,"sum":92506,"residue":820},{"from_index":1310,"to_index":150,"sum":94394,"residue":230}],"minimal_cycle":[820,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":820,"start_interval_clock_positions":[150,382],"circle_positions":826,"cycle_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":[151,383,615,847,1079,1311],"clock_positions":[151,383,615,847,1079,1311],"native_values":[573,337,160,337,573,750],"rotation_degrees":39.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,337,160,337,573,750],"beta":{"interval_sums":[99786,89284,94004,91762,92352,94240],"interval_residues":[666,76,666,76,666,76],"display_cycle":[666,76,666,76,666,76],"intervals":[{"from_index":151,"to_index":383,"sum":99786,"residue":666},{"from_index":383,"to_index":615,"sum":89284,"residue":76},{"from_index":615,"to_index":847,"sum":94004,"residue":666},{"from_index":847,"to_index":1079,"sum":91762,"residue":76},{"from_index":1079,"to_index":1311,"sum":92352,"residue":666},{"from_index":1311,"to_index":151,"sum":94240,"residue":76}],"minimal_cycle":[666,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[151,383],"circle_positions":826,"cycle_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":[152,384,616,848,1080,1312],"clock_positions":[152,384,616,848,1080,1312],"native_values":[343,756,343,343,756,343],"rotation_degrees":39.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,756,343],"beta":{"interval_sums":[99780,88688,93998,91992,92346,94470],"interval_residues":[660,306,660,306,660,306],"display_cycle":[660,306,660,306,660,306],"intervals":[{"from_index":152,"to_index":384,"sum":99780,"residue":660},{"from_index":384,"to_index":616,"sum":88688,"residue":306},{"from_index":616,"to_index":848,"sum":93998,"residue":660},{"from_index":848,"to_index":1080,"sum":91992,"residue":306},{"from_index":1080,"to_index":1312,"sum":92346,"residue":660},{"from_index":1312,"to_index":152,"sum":94470,"residue":306}],"minimal_cycle":[660,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[152,384],"circle_positions":826,"cycle_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":[153,385,617,849,1081,1313],"clock_positions":[153,385,617,849,1081,1313],"native_values":[90,267,503,680,503,267],"rotation_degrees":39.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,267,503,680,503,267],"beta":{"interval_sums":[100446,88764,93838,92068,92186,94546],"interval_residues":[500,382,500,382,500,382],"display_cycle":[500,382,500,382,500,382],"intervals":[{"from_index":153,"to_index":385,"sum":100446,"residue":500},{"from_index":385,"to_index":617,"sum":88764,"residue":382},{"from_index":617,"to_index":849,"sum":93838,"residue":500},{"from_index":849,"to_index":1081,"sum":92068,"residue":382},{"from_index":1081,"to_index":1313,"sum":92186,"residue":500},{"from_index":1313,"to_index":153,"sum":94546,"residue":382}],"minimal_cycle":[500,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[153,385],"circle_positions":826,"cycle_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":[154,386,618,850,1082,1314],"clock_positions":[154,386,618,850,1082,1314],"native_values":[433,197,20,197,433,610],"rotation_degrees":39.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,197,20,197,433,610],"beta":{"interval_sums":[100280,89070,94498,92374,92020,94026],"interval_residues":[334,688,334,688,334,688],"display_cycle":[334,688,334,688,334,688],"intervals":[{"from_index":154,"to_index":386,"sum":100280,"residue":334},{"from_index":386,"to_index":618,"sum":89070,"residue":688},{"from_index":618,"to_index":850,"sum":94498,"residue":334},{"from_index":850,"to_index":1082,"sum":92374,"residue":688},{"from_index":1082,"to_index":1314,"sum":92020,"residue":334},{"from_index":1314,"to_index":154,"sum":94026,"residue":688}],"minimal_cycle":[334,688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[154,386],"circle_positions":826,"cycle_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":[155,387,619,851,1083,1315],"clock_positions":[155,387,619,851,1083,1315],"native_values":[523,464,523,51,110,51],"rotation_degrees":40.08620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,464,523,51,110,51],"beta":{"interval_sums":[99954,88626,94172,92756,92520,94408],"interval_residues":[8,244,8,244,8,244],"display_cycle":[8,244,8,244,8,244],"intervals":[{"from_index":155,"to_index":387,"sum":99954,"residue":8},{"from_index":387,"to_index":619,"sum":88626,"residue":244},{"from_index":619,"to_index":851,"sum":94172,"residue":8},{"from_index":851,"to_index":1083,"sum":92756,"residue":244},{"from_index":1083,"to_index":1315,"sum":92520,"residue":8},{"from_index":1315,"to_index":155,"sum":94408,"residue":244}],"minimal_cycle":[8,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[155,387],"circle_positions":826,"cycle_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":[156,388,620,852,1084,1316],"clock_positions":[156,388,620,852,1084,1316],"native_values":[130,661,543,248,543,661],"rotation_degrees":40.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,661,543,248,543,661],"beta":{"interval_sums":[100288,88488,93680,92618,92028,94270],"interval_residues":[342,106,342,106,342,106],"display_cycle":[342,106,342,106,342,106],"intervals":[{"from_index":156,"to_index":388,"sum":100288,"residue":342},{"from_index":388,"to_index":620,"sum":88488,"residue":106},{"from_index":620,"to_index":852,"sum":93680,"residue":342},{"from_index":852,"to_index":1084,"sum":92618,"residue":106},{"from_index":1084,"to_index":1316,"sum":92028,"residue":342},{"from_index":1316,"to_index":156,"sum":94270,"residue":106}],"minimal_cycle":[342,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[156,388],"circle_positions":826,"cycle_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":[157,389,621,853,1085,1317],"clock_positions":[157,389,621,853,1085,1317],"native_values":[653,299,240,299,653,712],"rotation_degrees":40.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,299,240,299,653,712],"beta":{"interval_sums":[100296,88732,93688,92862,92036,93688],"interval_residues":[350,350,350,350,350,350],"display_cycle":[350,350,350,350,350,350],"intervals":[{"from_index":157,"to_index":389,"sum":100296,"residue":350},{"from_index":389,"to_index":621,"sum":88732,"residue":350},{"from_index":621,"to_index":853,"sum":93688,"residue":350},{"from_index":853,"to_index":1085,"sum":92862,"residue":350},{"from_index":1085,"to_index":1317,"sum":92036,"residue":350},{"from_index":1317,"to_index":157,"sum":93688,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[157,389],"circle_positions":826,"cycle_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":[158,390,622,854,1086,1318],"clock_positions":[158,390,622,854,1086,1318],"native_values":[783,134,783,547,370,547],"rotation_degrees":40.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[783,134,783,547,370,547],"beta":{"interval_sums":[99812,88838,93204,92968,92378,93794],"interval_residues":[692,456,692,456,692,456],"display_cycle":[692,456,692,456,692,456],"intervals":[{"from_index":158,"to_index":390,"sum":99812,"residue":692},{"from_index":390,"to_index":622,"sum":88838,"residue":456},{"from_index":622,"to_index":854,"sum":93204,"residue":692},{"from_index":854,"to_index":1086,"sum":92968,"residue":456},{"from_index":1086,"to_index":1318,"sum":92378,"residue":692},{"from_index":1318,"to_index":158,"sum":93794,"residue":456}],"minimal_cycle":[692,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[158,390],"circle_positions":826,"cycle_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":[159,391,623,855,1087,1319],"clock_positions":[159,391,623,855,1087,1319],"native_values":[610,433,197,20,197,433],"rotation_degrees":41.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,433,197,20,197,433],"beta":{"interval_sums":[99336,89188,93554,93318,92728,94144],"interval_residues":[216,806,216,806,216,806],"display_cycle":[216,806,216,806,216,806],"intervals":[{"from_index":159,"to_index":391,"sum":99336,"residue":216},{"from_index":391,"to_index":623,"sum":89188,"residue":806},{"from_index":623,"to_index":855,"sum":93554,"residue":216},{"from_index":855,"to_index":1087,"sum":93318,"residue":806},{"from_index":1087,"to_index":1319,"sum":92728,"residue":216},{"from_index":1319,"to_index":159,"sum":94144,"residue":806}],"minimal_cycle":[216,806],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[159,391],"circle_positions":826,"cycle_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":[160,392,624,856,1088,1320],"clock_positions":[160,392,624,856,1088,1320],"native_values":[567,567,154,567,567,154],"rotation_degrees":41.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,567,154],"beta":{"interval_sums":[99202,88818,93420,92948,92594,94600],"interval_residues":[82,436,82,436,82,436],"display_cycle":[82,436,82,436,82,436],"intervals":[{"from_index":160,"to_index":392,"sum":99202,"residue":82},{"from_index":392,"to_index":624,"sum":88818,"residue":436},{"from_index":624,"to_index":856,"sum":93420,"residue":82},{"from_index":856,"to_index":1088,"sum":92948,"residue":436},{"from_index":1088,"to_index":1320,"sum":92594,"residue":82},{"from_index":1320,"to_index":160,"sum":94600,"residue":436}],"minimal_cycle":[82,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[160,392],"circle_positions":826,"cycle_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":[161,393,625,857,1089,1321],"clock_positions":[161,393,625,857,1089,1321],"native_values":[351,174,351,587,764,587],"rotation_degrees":41.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,174,351,587,764,587],"beta":{"interval_sums":[99418,88798,93636,92928,91984,94580],"interval_residues":[298,416,298,416,298,416],"display_cycle":[298,416,298,416,298,416],"intervals":[{"from_index":161,"to_index":393,"sum":99418,"residue":298},{"from_index":393,"to_index":625,"sum":88798,"residue":416},{"from_index":625,"to_index":857,"sum":93636,"residue":298},{"from_index":857,"to_index":1089,"sum":92928,"residue":416},{"from_index":1089,"to_index":1321,"sum":91984,"residue":298},{"from_index":1321,"to_index":161,"sum":94580,"residue":416}],"minimal_cycle":[298,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[161,393],"circle_positions":826,"cycle_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":[162,394,626,858,1090,1322],"clock_positions":[162,394,626,858,1090,1322],"native_values":[92,741,505,328,505,741],"rotation_degrees":41.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,741,505,328,505,741],"beta":{"interval_sums":[99500,88408,93718,93364,92066,94190],"interval_residues":[380,26,380,26,380,26],"display_cycle":[380,26,380,26,380,26],"intervals":[{"from_index":162,"to_index":394,"sum":99500,"residue":380},{"from_index":394,"to_index":626,"sum":88408,"residue":26},{"from_index":626,"to_index":858,"sum":93718,"residue":380},{"from_index":858,"to_index":1090,"sum":93364,"residue":26},{"from_index":1090,"to_index":1322,"sum":92066,"residue":380},{"from_index":1322,"to_index":162,"sum":94190,"residue":26}],"minimal_cycle":[380,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[162,394],"circle_positions":826,"cycle_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":[163,395,627,859,1091,1323],"clock_positions":[163,395,627,859,1091,1323],"native_values":[443,89,30,89,443,502],"rotation_degrees":42.1551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,89,30,89,443,502],"beta":{"interval_sums":[99798,88824,94016,93780,92364,93780],"interval_residues":[678,442,678,442,678,442],"display_cycle":[678,442,678,442,678,442],"intervals":[{"from_index":163,"to_index":395,"sum":99798,"residue":678},{"from_index":395,"to_index":627,"sum":88824,"residue":442},{"from_index":627,"to_index":859,"sum":94016,"residue":678},{"from_index":859,"to_index":1091,"sum":93780,"residue":442},{"from_index":1091,"to_index":1323,"sum":92364,"residue":678},{"from_index":1323,"to_index":163,"sum":93780,"residue":442}],"minimal_cycle":[678,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[163,395],"circle_positions":826,"cycle_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":[164,396,628,860,1092,1324],"clock_positions":[164,396,628,860,1092,1324],"native_values":[535,4,535,417,122,417],"rotation_degrees":42.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,4,535,417,122,417],"beta":{"interval_sums":[99352,88850,93570,93806,92744,93806],"interval_residues":[232,468,232,468,232,468],"display_cycle":[232,468,232,468,232,468],"intervals":[{"from_index":164,"to_index":396,"sum":99352,"residue":232},{"from_index":396,"to_index":628,"sum":88850,"residue":468},{"from_index":628,"to_index":860,"sum":93570,"residue":232},{"from_index":860,"to_index":1092,"sum":93806,"residue":468},{"from_index":1092,"to_index":1324,"sum":92744,"residue":232},{"from_index":1324,"to_index":164,"sum":93806,"residue":468}],"minimal_cycle":[232,468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[164,396],"circle_positions":826,"cycle_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":[165,397,629,861,1093,1325],"clock_positions":[165,397,629,861,1093,1325],"native_values":[152,93,565,506,565,93],"rotation_degrees":42.672413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,93,565,506,565,93],"beta":{"interval_sums":[99204,89292,93422,93422,92596,94248],"interval_residues":[84,84,84,84,84,84],"display_cycle":[84,84,84,84,84,84],"intervals":[{"from_index":165,"to_index":397,"sum":99204,"residue":84},{"from_index":397,"to_index":629,"sum":89292,"residue":84},{"from_index":629,"to_index":861,"sum":93422,"residue":84},{"from_index":861,"to_index":1093,"sum":93422,"residue":84},{"from_index":1093,"to_index":1325,"sum":92596,"residue":84},{"from_index":1325,"to_index":165,"sum":94248,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[165,397],"circle_positions":826,"cycle_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":[166,398,630,862,1094,1326],"clock_positions":[166,398,630,862,1094,1326],"native_values":[687,97,274,97,687,510],"rotation_degrees":42.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[687,97,274,97,687,510],"beta":{"interval_sums":[98610,89760,93654,93890,92002,93890],"interval_residues":[316,552,316,552,316,552],"display_cycle":[316,552,316,552,316,552],"intervals":[{"from_index":166,"to_index":398,"sum":98610,"residue":316},{"from_index":398,"to_index":630,"sum":89760,"residue":552},{"from_index":630,"to_index":862,"sum":93654,"residue":316},{"from_index":862,"to_index":1094,"sum":93890,"residue":552},{"from_index":1094,"to_index":1326,"sum":92002,"residue":316},{"from_index":1326,"to_index":166,"sum":93890,"residue":552}],"minimal_cycle":[316,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[166,398],"circle_positions":826,"cycle_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":[167,399,631,863,1095,1327],"clock_positions":[167,399,631,863,1095,1327],"native_values":[13,190,13,603,426,603],"rotation_degrees":43.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,190,13,603,426,603],"beta":{"interval_sums":[98694,89844,93738,93974,92086,93974],"interval_residues":[400,636,400,636,400,636],"display_cycle":[400,636,400,636,400,636],"intervals":[{"from_index":167,"to_index":399,"sum":98694,"residue":400},{"from_index":399,"to_index":631,"sum":89844,"residue":636},{"from_index":631,"to_index":863,"sum":93738,"residue":400},{"from_index":863,"to_index":1095,"sum":93974,"residue":636},{"from_index":1095,"to_index":1327,"sum":92086,"residue":400},{"from_index":1327,"to_index":167,"sum":93974,"residue":636}],"minimal_cycle":[400,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[167,399],"circle_positions":826,"cycle_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":[168,400,632,864,1096,1328],"clock_positions":[168,400,632,864,1096,1328],"native_values":[700,287,287,700,287,287],"rotation_degrees":43.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[700,287,287],"beta":{"interval_sums":[98184,89570,94054,93700,92402,93700],"interval_residues":[716,362,716,362,716,362],"display_cycle":[716,362,716,362,716,362],"intervals":[{"from_index":168,"to_index":400,"sum":98184,"residue":716},{"from_index":400,"to_index":632,"sum":89570,"residue":362},{"from_index":632,"to_index":864,"sum":94054,"residue":716},{"from_index":864,"to_index":1096,"sum":93700,"residue":362},{"from_index":1096,"to_index":1328,"sum":92402,"residue":716},{"from_index":1328,"to_index":168,"sum":93700,"residue":362}],"minimal_cycle":[716,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[168,400],"circle_positions":826,"cycle_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":[169,401,633,865,1097,1329],"clock_positions":[169,401,633,865,1097,1329],"native_values":[713,477,300,477,713,64],"rotation_degrees":43.706896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,477,300,477,713,64],"beta":{"interval_sums":[97758,89380,94454,93510,91976,94336],"interval_residues":[290,172,290,172,290,172],"display_cycle":[290,172,290,172,290,172],"intervals":[{"from_index":169,"to_index":401,"sum":97758,"residue":290},{"from_index":401,"to_index":633,"sum":89380,"residue":172},{"from_index":633,"to_index":865,"sum":94454,"residue":290},{"from_index":865,"to_index":1097,"sum":93510,"residue":172},{"from_index":1097,"to_index":1329,"sum":91976,"residue":290},{"from_index":1329,"to_index":169,"sum":94336,"residue":172}],"minimal_cycle":[290,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[169,401],"circle_positions":826,"cycle_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":[170,402,634,866,1098,1330],"clock_positions":[170,402,634,866,1098,1330],"native_values":[587,764,587,351,174,351],"rotation_degrees":43.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[587,764,587,351,174,351],"beta":{"interval_sums":[97648,88916,94344,93872,91866,94698],"interval_residues":[180,534,180,534,180,534],"display_cycle":[180,534,180,534,180,534],"intervals":[{"from_index":170,"to_index":402,"sum":97648,"residue":180},{"from_index":402,"to_index":634,"sum":88916,"residue":534},{"from_index":634,"to_index":866,"sum":94344,"residue":180},{"from_index":866,"to_index":1098,"sum":93872,"residue":534},{"from_index":1098,"to_index":1330,"sum":91866,"residue":180},{"from_index":1330,"to_index":170,"sum":94698,"residue":534}],"minimal_cycle":[180,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[170,402],"circle_positions":826,"cycle_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":[171,403,635,867,1099,1331],"clock_positions":[171,403,635,867,1099,1331],"native_values":[474,415,61,2,61,415],"rotation_degrees":44.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,415,61,2,61,415],"beta":{"interval_sums":[97938,89088,94634,94044,92156,94870],"interval_residues":[470,706,470,706,470,706],"display_cycle":[470,706,470,706,470,706],"intervals":[{"from_index":171,"to_index":403,"sum":97938,"residue":470},{"from_index":403,"to_index":635,"sum":89088,"residue":706},{"from_index":635,"to_index":867,"sum":94634,"residue":470},{"from_index":867,"to_index":1099,"sum":94044,"residue":706},{"from_index":1099,"to_index":1331,"sum":92156,"residue":470},{"from_index":1331,"to_index":171,"sum":94870,"residue":706}],"minimal_cycle":[470,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[171,403],"circle_positions":826,"cycle_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":[172,404,636,868,1100,1332],"clock_positions":[172,404,636,868,1100,1332],"native_values":[235,353,648,353,235,766],"rotation_degrees":44.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,353,648,353,235,766],"beta":{"interval_sums":[98118,88796,93988,93752,92336,94578],"interval_residues":[650,414,650,414,650,414],"display_cycle":[650,414,650,414,650,414],"intervals":[{"from_index":172,"to_index":404,"sum":98118,"residue":650},{"from_index":404,"to_index":636,"sum":88796,"residue":414},{"from_index":636,"to_index":868,"sum":93988,"residue":650},{"from_index":868,"to_index":1100,"sum":93752,"residue":414},{"from_index":1100,"to_index":1332,"sum":92336,"residue":650},{"from_index":1332,"to_index":172,"sum":94578,"residue":414}],"minimal_cycle":[650,414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[172,404],"circle_positions":826,"cycle_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":[173,405,637,869,1101,1333],"clock_positions":[173,405,637,869,1101,1333],"native_values":[709,768,709,355,296,355],"rotation_degrees":44.741379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,768,709,355,296,355],"beta":{"interval_sums":[97762,88676,93632,93632,92806,94458],"interval_residues":[294,294,294,294,294,294],"display_cycle":[294,294,294,294,294,294],"intervals":[{"from_index":173,"to_index":405,"sum":97762,"residue":294},{"from_index":405,"to_index":637,"sum":88676,"residue":294},{"from_index":637,"to_index":869,"sum":93632,"residue":294},{"from_index":869,"to_index":1101,"sum":93632,"residue":294},{"from_index":1101,"to_index":1333,"sum":92806,"residue":294},{"from_index":1333,"to_index":173,"sum":94458,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[173,405],"circle_positions":826,"cycle_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":[174,406,638,870,1102,1334],"clock_positions":[174,406,638,870,1102,1334],"native_values":[118,295,531,708,531,295],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[118,295,531,708,531,295],"beta":{"interval_sums":[98412,89090,93456,93220,92630,94872],"interval_residues":[118,708,118,708,118,708],"display_cycle":[118,708,118,708,118,708],"intervals":[{"from_index":174,"to_index":406,"sum":98412,"residue":118},{"from_index":406,"to_index":638,"sum":89090,"residue":708},{"from_index":638,"to_index":870,"sum":93456,"residue":118},{"from_index":870,"to_index":1102,"sum":93220,"residue":708},{"from_index":1102,"to_index":1334,"sum":92630,"residue":118},{"from_index":1334,"to_index":174,"sum":94872,"residue":708}],"minimal_cycle":[118,708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[174,406],"circle_positions":826,"cycle_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":[175,407,639,871,1103,1335],"clock_positions":[175,407,639,871,1103,1335],"native_values":[1,237,414,237,1,650],"rotation_degrees":45.258620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,237,414,237,1,650],"beta":{"interval_sums":[98706,89384,93750,93514,92924,94340],"interval_residues":[412,176,412,176,412,176],"display_cycle":[412,176,412,176,412,176],"intervals":[{"from_index":175,"to_index":407,"sum":98706,"residue":412},{"from_index":407,"to_index":639,"sum":89384,"residue":176},{"from_index":639,"to_index":871,"sum":93750,"residue":412},{"from_index":871,"to_index":1103,"sum":93514,"residue":176},{"from_index":1103,"to_index":1335,"sum":92924,"residue":412},{"from_index":1335,"to_index":175,"sum":94340,"residue":176}],"minimal_cycle":[412,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[175,407],"circle_positions":826,"cycle_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":[176,408,640,872,1104,1336],"clock_positions":[176,408,640,872,1104,1336],"native_values":[119,532,119,119,532,119],"rotation_degrees":45.51724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,532,119],"beta":{"interval_sums":[98824,89266,93868,93396,93042,94222],"interval_residues":[530,58,530,58,530,58],"display_cycle":[530,58,530,58,530,58],"intervals":[{"from_index":176,"to_index":408,"sum":98824,"residue":530},{"from_index":408,"to_index":640,"sum":89266,"residue":58},{"from_index":640,"to_index":872,"sum":93868,"residue":530},{"from_index":872,"to_index":1104,"sum":93396,"residue":58},{"from_index":1104,"to_index":1336,"sum":93042,"residue":530},{"from_index":1336,"to_index":176,"sum":94222,"residue":58}],"minimal_cycle":[530,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[176,408],"circle_positions":826,"cycle_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":[177,409,641,873,1105,1337],"clock_positions":[177,409,641,873,1105,1337],"native_values":[120,769,533,356,533,769],"rotation_degrees":45.775862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,769,533,356,533,769],"beta":{"interval_sums":[99236,88616,93454,93572,92628,93572],"interval_residues":[116,234,116,234,116,234],"display_cycle":[116,234,116,234,116,234],"intervals":[{"from_index":177,"to_index":409,"sum":99236,"residue":116},{"from_index":409,"to_index":641,"sum":88616,"residue":234},{"from_index":641,"to_index":873,"sum":93454,"residue":116},{"from_index":873,"to_index":1105,"sum":93572,"residue":234},{"from_index":1105,"to_index":1337,"sum":92628,"residue":116},{"from_index":1337,"to_index":177,"sum":93572,"residue":234}],"minimal_cycle":[116,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[177,409],"circle_positions":826,"cycle_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":[178,410,642,874,1106,1338],"clock_positions":[178,410,642,874,1106,1338],"native_values":[239,475,652,475,239,62],"rotation_degrees":46.03448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,475,652,475,239,62],"beta":{"interval_sums":[99766,88674,93158,93630,93158,93630],"interval_residues":[646,292,646,292,646,292],"display_cycle":[646,292,646,292,646,292],"intervals":[{"from_index":178,"to_index":410,"sum":99766,"residue":646},{"from_index":410,"to_index":642,"sum":88674,"residue":292},{"from_index":642,"to_index":874,"sum":93158,"residue":646},{"from_index":874,"to_index":1106,"sum":93630,"residue":292},{"from_index":1106,"to_index":1338,"sum":93158,"residue":646},{"from_index":1338,"to_index":178,"sum":93630,"residue":292}],"minimal_cycle":[646,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[178,410],"circle_positions":826,"cycle_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":[179,411,643,875,1107,1339],"clock_positions":[179,411,643,875,1107,1339],"native_values":[359,418,359,5,772,5],"rotation_degrees":46.293103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,418,359,5,772,5],"beta":{"interval_sums":[99882,88908,93274,93864,92448,93864],"interval_residues":[762,526,762,526,762,526],"display_cycle":[762,526,762,526,762,526],"intervals":[{"from_index":179,"to_index":411,"sum":99882,"residue":762},{"from_index":411,"to_index":643,"sum":88908,"residue":526},{"from_index":643,"to_index":875,"sum":93274,"residue":762},{"from_index":875,"to_index":1107,"sum":93864,"residue":526},{"from_index":1107,"to_index":1339,"sum":92448,"residue":762},{"from_index":1339,"to_index":179,"sum":93864,"residue":526}],"minimal_cycle":[762,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[179,411],"circle_positions":826,"cycle_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":[180,412,644,876,1108,1340],"clock_positions":[180,412,644,876,1108,1340],"native_values":[598,67,185,480,185,67],"rotation_degrees":46.55172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,67,185,480,185,67],"beta":{"interval_sums":[99702,89200,93094,94156,92268,94156],"interval_residues":[582,818,582,818,582,818],"display_cycle":[582,818,582,818,582,818],"intervals":[{"from_index":180,"to_index":412,"sum":99702,"residue":582},{"from_index":412,"to_index":644,"sum":89200,"residue":818},{"from_index":644,"to_index":876,"sum":93094,"residue":582},{"from_index":876,"to_index":1108,"sum":94156,"residue":818},{"from_index":1108,"to_index":1340,"sum":92268,"residue":582},{"from_index":1340,"to_index":180,"sum":94156,"residue":818}],"minimal_cycle":[582,818],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[180,412],"circle_positions":826,"cycle_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":[181,413,645,877,1109,1341],"clock_positions":[181,413,645,877,1109,1341],"native_values":[131,485,544,485,131,72],"rotation_degrees":46.810344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,485,544,485,131,72],"beta":{"interval_sums":[99638,88900,93030,93856,92204,94682],"interval_residues":[518,518,518,518,518,518],"display_cycle":[518,518,518,518,518,518],"intervals":[{"from_index":181,"to_index":413,"sum":99638,"residue":518},{"from_index":413,"to_index":645,"sum":88900,"residue":518},{"from_index":645,"to_index":877,"sum":93030,"residue":518},{"from_index":877,"to_index":1109,"sum":93856,"residue":518},{"from_index":1109,"to_index":1341,"sum":92204,"residue":518},{"from_index":1341,"to_index":181,"sum":94682,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[181,413],"circle_positions":826,"cycle_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":[182,414,646,878,1110,1342],"clock_positions":[182,414,646,878,1110,1342],"native_values":[729,552,729,139,316,139],"rotation_degrees":47.06896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,552,729,139,316,139],"beta":{"interval_sums":[99394,88892,92786,93848,91960,94674],"interval_residues":[274,510,274,510,274,510],"display_cycle":[274,510,274,510,274,510],"intervals":[{"from_index":182,"to_index":414,"sum":99394,"residue":274},{"from_index":414,"to_index":646,"sum":88892,"residue":510},{"from_index":646,"to_index":878,"sum":92786,"residue":274},{"from_index":878,"to_index":1110,"sum":93848,"residue":510},{"from_index":1110,"to_index":1342,"sum":91960,"residue":274},{"from_index":1342,"to_index":182,"sum":94674,"residue":510}],"minimal_cycle":[274,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[182,414],"circle_positions":826,"cycle_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":[183,415,647,879,1111,1343],"clock_positions":[183,415,647,879,1111,1343],"native_values":[34,211,447,624,447,211],"rotation_degrees":47.327586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,211,447,624,447,211],"beta":{"interval_sums":[99912,89410,92478,93540,91652,95192],"interval_residues":[792,202,792,202,792,202],"display_cycle":[792,202,792,202,792,202],"intervals":[{"from_index":183,"to_index":415,"sum":99912,"residue":792},{"from_index":415,"to_index":647,"sum":89410,"residue":202},{"from_index":647,"to_index":879,"sum":92478,"residue":792},{"from_index":879,"to_index":1111,"sum":93540,"residue":202},{"from_index":1111,"to_index":1343,"sum":91652,"residue":792},{"from_index":1343,"to_index":183,"sum":95192,"residue":202}],"minimal_cycle":[792,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[183,415],"circle_positions":826,"cycle_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":[184,416,648,880,1112,1344],"clock_positions":[184,416,648,880,1112,1344],"native_values":[763,763,350,763,763,350],"rotation_degrees":47.58620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[763,763,350],"beta":{"interval_sums":[99360,89094,92752,93224,91100,94876],"interval_residues":[240,712,240,712,240,712],"display_cycle":[240,712,240,712,240,712],"intervals":[{"from_index":184,"to_index":416,"sum":99360,"residue":240},{"from_index":416,"to_index":648,"sum":89094,"residue":712},{"from_index":648,"to_index":880,"sum":92752,"residue":240},{"from_index":880,"to_index":1112,"sum":93224,"residue":712},{"from_index":1112,"to_index":1344,"sum":91100,"residue":240},{"from_index":1344,"to_index":184,"sum":94876,"residue":712}],"minimal_cycle":[240,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[184,416],"circle_positions":826,"cycle_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":[185,417,649,881,1113,1345],"clock_positions":[185,417,649,881,1113,1345],"native_values":[797,148,797,561,384,561],"rotation_degrees":47.8448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,148,797,561,384,561],"beta":{"interval_sums":[99326,89296,92718,93426,91066,95078],"interval_residues":[206,88,206,88,206,88],"display_cycle":[206,88,206,88,206,88],"intervals":[{"from_index":185,"to_index":417,"sum":99326,"residue":206},{"from_index":417,"to_index":649,"sum":89296,"residue":88},{"from_index":649,"to_index":881,"sum":92718,"residue":206},{"from_index":881,"to_index":1113,"sum":93426,"residue":88},{"from_index":1113,"to_index":1345,"sum":91066,"residue":206},{"from_index":1345,"to_index":185,"sum":95078,"residue":88}],"minimal_cycle":[206,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[185,417],"circle_positions":826,"cycle_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":[186,418,650,882,1114,1346],"clock_positions":[186,418,650,882,1114,1346],"native_values":[734,85,321,498,321,85],"rotation_degrees":48.10344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,85,321,498,321,85],"beta":{"interval_sums":[98740,90008,92958,93312,91306,95790],"interval_residues":[446,800,446,800,446,800],"display_cycle":[446,800,446,800,446,800],"intervals":[{"from_index":186,"to_index":418,"sum":98740,"residue":446},{"from_index":418,"to_index":650,"sum":90008,"residue":800},{"from_index":650,"to_index":882,"sum":92958,"residue":446},{"from_index":882,"to_index":1114,"sum":93312,"residue":800},{"from_index":1114,"to_index":1346,"sum":91306,"residue":446},{"from_index":1346,"to_index":186,"sum":95790,"residue":800}],"minimal_cycle":[446,800],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[186,418],"circle_positions":826,"cycle_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":[187,419,651,883,1115,1347],"clock_positions":[187,419,651,883,1115,1347],"native_values":[705,233,292,233,705,646],"rotation_degrees":48.36206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,233,292,233,705,646],"beta":{"interval_sums":[98120,90096,93164,93400,90686,95878],"interval_residues":[652,62,652,62,652,62],"display_cycle":[652,62,652,62,652,62],"intervals":[{"from_index":187,"to_index":419,"sum":98120,"residue":652},{"from_index":419,"to_index":651,"sum":90096,"residue":62},{"from_index":651,"to_index":883,"sum":93164,"residue":652},{"from_index":883,"to_index":1115,"sum":93400,"residue":62},{"from_index":1115,"to_index":1347,"sum":90686,"residue":652},{"from_index":1347,"to_index":187,"sum":95878,"residue":62}],"minimal_cycle":[652,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[187,419],"circle_positions":826,"cycle_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":[188,420,652,884,1116,1348],"clock_positions":[188,420,652,884,1116,1348],"native_values":[613,318,613,731,200,731],"rotation_degrees":48.62068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,318,613,731,200,731],"beta":{"interval_sums":[97740,90070,92784,93374,91132,95852],"interval_residues":[272,36,272,36,272,36],"display_cycle":[272,36,272,36,272,36],"intervals":[{"from_index":188,"to_index":420,"sum":97740,"residue":272},{"from_index":420,"to_index":652,"sum":90070,"residue":36},{"from_index":652,"to_index":884,"sum":92784,"residue":272},{"from_index":884,"to_index":1116,"sum":93374,"residue":36},{"from_index":1116,"to_index":1348,"sum":91132,"residue":272},{"from_index":1348,"to_index":188,"sum":95852,"residue":36}],"minimal_cycle":[272,36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[188,420],"circle_positions":826,"cycle_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":[189,421,653,885,1117,1349],"clock_positions":[189,421,653,885,1117,1349],"native_values":[492,551,79,138,79,551],"rotation_degrees":48.87931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,551,79,138,79,551],"beta":{"interval_sums":[97566,90132,93436,93436,91784,95914],"interval_residues":[98,98,98,98,98,98],"display_cycle":[98,98,98,98,98,98],"intervals":[{"from_index":189,"to_index":421,"sum":97566,"residue":98},{"from_index":421,"to_index":653,"sum":90132,"residue":98},{"from_index":653,"to_index":885,"sum":93436,"residue":98},{"from_index":885,"to_index":1117,"sum":93436,"residue":98},{"from_index":1117,"to_index":1349,"sum":91784,"residue":98},{"from_index":1349,"to_index":189,"sum":95914,"residue":98}],"minimal_cycle":[98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[189,421],"circle_positions":826,"cycle_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":[190,422,654,886,1118,1350],"clock_positions":[190,422,654,886,1118,1350],"native_values":[279,43,692,43,279,456],"rotation_degrees":49.13793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,43,692,43,279,456],"beta":{"interval_sums":[97838,90168,92882,93472,92056,95950],"interval_residues":[370,134,370,134,370,134],"display_cycle":[370,134,370,134,370,134],"intervals":[{"from_index":190,"to_index":422,"sum":97838,"residue":370},{"from_index":422,"to_index":654,"sum":90168,"residue":134},{"from_index":654,"to_index":886,"sum":92882,"residue":370},{"from_index":886,"to_index":1118,"sum":93472,"residue":134},{"from_index":1118,"to_index":1350,"sum":92056,"residue":370},{"from_index":1350,"to_index":190,"sum":95950,"residue":134}],"minimal_cycle":[370,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[190,422],"circle_positions":826,"cycle_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":[191,423,655,887,1119,1351],"clock_positions":[191,423,655,887,1119,1351],"native_values":[771,594,771,181,358,181],"rotation_degrees":49.39655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,594,771,181,358,181],"beta":{"interval_sums":[97110,90266,92154,93570,92154,96048],"interval_residues":[468,232,468,232,468,232],"display_cycle":[468,232,468,232,468,232],"intervals":[{"from_index":191,"to_index":423,"sum":97110,"residue":468},{"from_index":423,"to_index":655,"sum":90266,"residue":232},{"from_index":655,"to_index":887,"sum":92154,"residue":468},{"from_index":887,"to_index":1119,"sum":93570,"residue":232},{"from_index":1119,"to_index":1351,"sum":92154,"residue":468},{"from_index":1351,"to_index":191,"sum":96048,"residue":232}],"minimal_cycle":[468,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[191,423],"circle_positions":826,"cycle_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":[192,424,656,888,1120,1352],"clock_positions":[192,424,656,888,1120,1352],"native_values":[224,637,637,224,637,637],"rotation_degrees":49.6551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,637,637],"beta":{"interval_sums":[97480,90400,91698,93704,91698,96182],"interval_residues":[12,366,12,366,12,366],"display_cycle":[12,366,12,366,12,366],"intervals":[{"from_index":192,"to_index":424,"sum":97480,"residue":12},{"from_index":424,"to_index":656,"sum":90400,"residue":366},{"from_index":656,"to_index":888,"sum":91698,"residue":12},{"from_index":888,"to_index":1120,"sum":93704,"residue":366},{"from_index":1120,"to_index":1352,"sum":91698,"residue":12},{"from_index":1352,"to_index":192,"sum":96182,"residue":366}],"minimal_cycle":[12,366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[192,424],"circle_positions":826,"cycle_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":[193,425,657,889,1121,1353],"clock_positions":[193,425,657,889,1121,1353],"native_values":[169,405,582,405,169,818],"rotation_degrees":49.91379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,405,582,405,169,818],"beta":{"interval_sums":[97948,90632,91340,93936,92166,95588],"interval_residues":[480,598,480,598,480,598],"display_cycle":[480,598,480,598,480,598],"intervals":[{"from_index":193,"to_index":425,"sum":97948,"residue":480},{"from_index":425,"to_index":657,"sum":90632,"residue":598},{"from_index":657,"to_index":889,"sum":91340,"residue":480},{"from_index":889,"to_index":1121,"sum":93936,"residue":598},{"from_index":1121,"to_index":1353,"sum":92166,"residue":480},{"from_index":1353,"to_index":193,"sum":95588,"residue":598}],"minimal_cycle":[480,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[193,425],"circle_positions":826,"cycle_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":[194,426,658,890,1122,1354],"clock_positions":[194,426,658,890,1122,1354],"native_values":[393,216,393,629,806,629],"rotation_degrees":50.172413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,216,393,629,806,629],"beta":{"interval_sums":[97960,90998,91352,93476,92178,95128],"interval_residues":[492,138,492,138,492,138],"display_cycle":[492,138,492,138,492,138],"intervals":[{"from_index":194,"to_index":426,"sum":97960,"residue":492},{"from_index":426,"to_index":658,"sum":90998,"residue":138},{"from_index":658,"to_index":890,"sum":91352,"residue":492},{"from_index":890,"to_index":1122,"sum":93476,"residue":138},{"from_index":1122,"to_index":1354,"sum":92178,"residue":492},{"from_index":1354,"to_index":194,"sum":95128,"residue":138}],"minimal_cycle":[492,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[194,426],"circle_positions":826,"cycle_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":[195,427,659,891,1123,1355],"clock_positions":[195,427,659,891,1123,1355],"native_values":[562,621,149,208,149,621],"rotation_degrees":50.43103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,621,149,208,149,621],"beta":{"interval_sums":[97614,90770,91832,94074,92658,94900],"interval_residues":[146,736,146,736,146,736],"display_cycle":[146,736,146,736,146,736],"intervals":[{"from_index":195,"to_index":427,"sum":97614,"residue":146},{"from_index":427,"to_index":659,"sum":90770,"residue":736},{"from_index":659,"to_index":891,"sum":91832,"residue":146},{"from_index":891,"to_index":1123,"sum":94074,"residue":736},{"from_index":1123,"to_index":1355,"sum":92658,"residue":146},{"from_index":1355,"to_index":195,"sum":94900,"residue":736}],"minimal_cycle":[146,736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[195,427],"circle_positions":826,"cycle_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":[196,428,660,892,1124,1356],"clock_positions":[196,428,660,892,1124,1356],"native_values":[129,11,542,11,129,424],"rotation_degrees":50.689655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,11,542,11,129,424],"beta":{"interval_sums":[98106,90908,91498,94212,93150,95038],"interval_residues":[638,48,638,48,638,48],"display_cycle":[638,48,638,48,638,48],"intervals":[{"from_index":196,"to_index":428,"sum":98106,"residue":638},{"from_index":428,"to_index":660,"sum":90908,"residue":48},{"from_index":660,"to_index":892,"sum":91498,"residue":638},{"from_index":892,"to_index":1124,"sum":94212,"residue":48},{"from_index":1124,"to_index":1356,"sum":93150,"residue":638},{"from_index":1356,"to_index":196,"sum":95038,"residue":48}],"minimal_cycle":[638,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[196,428],"circle_positions":826,"cycle_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":[197,429,661,893,1125,1357],"clock_positions":[197,429,661,893,1125,1357],"native_values":[691,632,691,219,278,219],"rotation_degrees":50.94827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,632,691,219,278,219],"beta":{"interval_sums":[97426,90818,90818,94122,93296,94948],"interval_residues":[784,784,784,784,784,784],"display_cycle":[784,784,784,784,784,784],"intervals":[{"from_index":197,"to_index":429,"sum":97426,"residue":784},{"from_index":429,"to_index":661,"sum":90818,"residue":784},{"from_index":661,"to_index":893,"sum":90818,"residue":784},{"from_index":893,"to_index":1125,"sum":94122,"residue":784},{"from_index":1125,"to_index":1357,"sum":93296,"residue":784},{"from_index":1357,"to_index":197,"sum":94948,"residue":784}],"minimal_cycle":[784],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":784,"start_interval_clock_positions":[197,429],"circle_positions":826,"cycle_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":[198,430,662,894,1126,1358],"clock_positions":[198,430,662,894,1126,1358],"native_values":[820,643,407,230,407,643],"rotation_degrees":51.206896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[820,643,407,230,407,643],"beta":{"interval_sums":[97238,90866,90630,94170,93108,94996],"interval_residues":[596,6,596,6,596,6],"display_cycle":[596,6,596,6,596,6],"intervals":[{"from_index":198,"to_index":430,"sum":97238,"residue":596},{"from_index":430,"to_index":662,"sum":90866,"residue":6},{"from_index":662,"to_index":894,"sum":90630,"residue":596},{"from_index":894,"to_index":1126,"sum":94170,"residue":6},{"from_index":1126,"to_index":1358,"sum":93108,"residue":596},{"from_index":1358,"to_index":198,"sum":94996,"residue":6}],"minimal_cycle":[596,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[198,430],"circle_positions":826,"cycle_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":[199,431,663,895,1127,1359],"clock_positions":[199,431,663,895,1127,1359],"native_values":[685,449,272,449,685,36],"rotation_degrees":51.46551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,449,272,449,685,36],"beta":{"interval_sums":[97196,90824,90588,94128,93066,95780],"interval_residues":[554,790,554,790,554,790],"display_cycle":[554,790,554,790,554,790],"intervals":[{"from_index":199,"to_index":431,"sum":97196,"residue":554},{"from_index":431,"to_index":663,"sum":90824,"residue":790},{"from_index":663,"to_index":895,"sum":90588,"residue":554},{"from_index":895,"to_index":1127,"sum":94128,"residue":790},{"from_index":1127,"to_index":1359,"sum":93066,"residue":554},{"from_index":1359,"to_index":199,"sum":95780,"residue":790}],"minimal_cycle":[554,790],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[199,431],"circle_positions":826,"cycle_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":[200,432,664,896,1128,1360],"clock_positions":[200,432,664,896,1128,1360],"native_values":[679,266,679,679,266,679],"rotation_degrees":51.724137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[679,266,679],"beta":{"interval_sums":[96966,90830,90358,94134,92836,95786],"interval_residues":[324,796,324,796,324,796],"display_cycle":[324,796,324,796,324,796],"intervals":[{"from_index":200,"to_index":432,"sum":96966,"residue":324},{"from_index":432,"to_index":664,"sum":90830,"residue":796},{"from_index":664,"to_index":896,"sum":90358,"residue":324},{"from_index":896,"to_index":1128,"sum":94134,"residue":796},{"from_index":1128,"to_index":1360,"sum":92836,"residue":324},{"from_index":1360,"to_index":200,"sum":95786,"residue":796}],"minimal_cycle":[324,796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[200,432],"circle_positions":826,"cycle_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":[201,433,665,897,1129,1361],"clock_positions":[201,433,665,897,1129,1361],"native_values":[538,715,125,302,125,715],"rotation_degrees":51.98275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,715,125,302,125,715],"beta":{"interval_sums":[96694,90794,90912,94098,93390,95750],"interval_residues":[52,760,52,760,52,760],"display_cycle":[52,760,52,760,52,760],"intervals":[{"from_index":201,"to_index":433,"sum":96694,"residue":52},{"from_index":433,"to_index":665,"sum":90794,"residue":760},{"from_index":665,"to_index":897,"sum":90912,"residue":52},{"from_index":897,"to_index":1129,"sum":94098,"residue":760},{"from_index":1129,"to_index":1361,"sum":93390,"residue":52},{"from_index":1361,"to_index":201,"sum":95750,"residue":760}],"minimal_cycle":[52,760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[201,433],"circle_positions":826,"cycle_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":[202,434,666,898,1130,1362],"clock_positions":[202,434,666,898,1130,1362],"native_values":[391,155,804,155,391,568],"rotation_degrees":52.241379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,155,804,155,391,568],"beta":{"interval_sums":[97018,90764,90410,94068,93714,95720],"interval_residues":[376,730,376,730,376,730],"display_cycle":[376,730,376,730,376,730],"intervals":[{"from_index":202,"to_index":434,"sum":97018,"residue":376},{"from_index":434,"to_index":666,"sum":90764,"residue":730},{"from_index":666,"to_index":898,"sum":90410,"residue":376},{"from_index":898,"to_index":1130,"sum":94068,"residue":730},{"from_index":1130,"to_index":1362,"sum":93714,"residue":376},{"from_index":1362,"to_index":202,"sum":95720,"residue":730}],"minimal_cycle":[376,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[202,434],"circle_positions":826,"cycle_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":[203,435,667,899,1131,1363],"clock_positions":[203,435,667,899,1131,1363],"native_values":[103,44,103,457,516,457],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,44,103,457,516,457],"beta":{"interval_sums":[97070,91524,90462,94002,93766,95654],"interval_residues":[428,664,428,664,428,664],"display_cycle":[428,664,428,664,428,664],"intervals":[{"from_index":203,"to_index":435,"sum":97070,"residue":428},{"from_index":435,"to_index":667,"sum":91524,"residue":664},{"from_index":667,"to_index":899,"sum":90462,"residue":428},{"from_index":899,"to_index":1131,"sum":94002,"residue":664},{"from_index":1131,"to_index":1363,"sum":93766,"residue":428},{"from_index":1363,"to_index":203,"sum":95654,"residue":664}],"minimal_cycle":[428,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[203,435],"circle_positions":826,"cycle_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":[204,436,668,900,1132,1364],"clock_positions":[204,436,668,900,1132,1364],"native_values":[494,199,81,612,81,199],"rotation_degrees":52.758620689655174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,199,81,612,81,199],"beta":{"interval_sums":[96620,91428,90838,93906,94142,95558],"interval_residues":[804,568,804,568,804,568],"display_cycle":[804,568,804,568,804,568],"intervals":[{"from_index":204,"to_index":436,"sum":96620,"residue":804},{"from_index":436,"to_index":668,"sum":91428,"residue":568},{"from_index":668,"to_index":900,"sum":90838,"residue":804},{"from_index":900,"to_index":1132,"sum":93906,"residue":568},{"from_index":1132,"to_index":1364,"sum":94142,"residue":804},{"from_index":1364,"to_index":204,"sum":95558,"residue":568}],"minimal_cycle":[804,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[204,436],"circle_positions":826,"cycle_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":[205,437,669,901,1133,1365],"clock_positions":[205,437,669,901,1133,1365],"native_values":[597,243,184,243,597,656],"rotation_degrees":53.01724137931034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,243,184,243,597,656],"beta":{"interval_sums":[96222,91266,91266,93744,93744,95396],"interval_residues":[406,406,406,406,406,406],"display_cycle":[406,406,406,406,406,406],"intervals":[{"from_index":205,"to_index":437,"sum":96222,"residue":406},{"from_index":437,"to_index":669,"sum":91266,"residue":406},{"from_index":669,"to_index":901,"sum":91266,"residue":406},{"from_index":901,"to_index":1133,"sum":93744,"residue":406},{"from_index":1133,"to_index":1365,"sum":93744,"residue":406},{"from_index":1365,"to_index":205,"sum":95396,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[205,437],"circle_positions":826,"cycle_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":[206,438,670,902,1134,1366],"clock_positions":[206,438,670,902,1134,1366],"native_values":[265,442,265,29,678,29],"rotation_degrees":53.275862068965516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,442,265,29,678,29],"beta":{"interval_sums":[96200,91008,91244,94312,93722,95964],"interval_residues":[384,148,384,148,384,148],"display_cycle":[384,148,384,148,384,148],"intervals":[{"from_index":206,"to_index":438,"sum":96200,"residue":384},{"from_index":438,"to_index":670,"sum":91008,"residue":148},{"from_index":670,"to_index":902,"sum":91244,"residue":384},{"from_index":902,"to_index":1134,"sum":94312,"residue":148},{"from_index":1134,"to_index":1366,"sum":93722,"residue":384},{"from_index":1366,"to_index":206,"sum":95964,"residue":148}],"minimal_cycle":[384,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[206,438],"circle_positions":826,"cycle_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":[207,439,671,903,1135,1367],"clock_positions":[207,439,671,903,1135,1367],"native_values":[36,685,449,272,449,685],"rotation_degrees":53.53448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,685,449,272,449,685],"beta":{"interval_sums":[96606,90588,90824,94718,93302,95544],"interval_residues":[790,554,790,554,790,554],"display_cycle":[790,554,790,554,790,554],"intervals":[{"from_index":207,"to_index":439,"sum":96606,"residue":790},{"from_index":439,"to_index":671,"sum":90588,"residue":554},{"from_index":671,"to_index":903,"sum":90824,"residue":790},{"from_index":903,"to_index":1135,"sum":94718,"residue":554},{"from_index":1135,"to_index":1367,"sum":93302,"residue":790},{"from_index":1367,"to_index":207,"sum":95544,"residue":554}],"minimal_cycle":[790,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[207,439],"circle_positions":826,"cycle_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":[208,440,672,904,1136,1368],"clock_positions":[208,440,672,904,1136,1368],"native_values":[301,301,714,301,301,714],"rotation_degrees":53.793103448275865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,301,714],"beta":{"interval_sums":[96990,90736,90382,94866,93686,94866],"interval_residues":[348,702,348,702,348,702],"display_cycle":[348,702,348,702,348,702],"intervals":[{"from_index":208,"to_index":440,"sum":96990,"residue":348},{"from_index":440,"to_index":672,"sum":90736,"residue":702},{"from_index":672,"to_index":904,"sum":90382,"residue":348},{"from_index":904,"to_index":1136,"sum":94866,"residue":702},{"from_index":1136,"to_index":1368,"sum":93686,"residue":348},{"from_index":1368,"to_index":208,"sum":94866,"residue":702}],"minimal_cycle":[348,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[208,440],"circle_positions":826,"cycle_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":[209,441,673,905,1137,1369],"clock_positions":[209,441,673,905,1137,1369],"native_values":[337,160,337,573,750,573],"rotation_degrees":54.05172413793103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,160,337,573,750,573],"beta":{"interval_sums":[96954,91290,90346,94594,93650,94594],"interval_residues":[312,430,312,430,312,430],"display_cycle":[312,430,312,430,312,430],"intervals":[{"from_index":209,"to_index":441,"sum":96954,"residue":312},{"from_index":441,"to_index":673,"sum":91290,"residue":430},{"from_index":673,"to_index":905,"sum":90346,"residue":312},{"from_index":905,"to_index":1137,"sum":94594,"residue":430},{"from_index":1137,"to_index":1369,"sum":93650,"residue":312},{"from_index":1369,"to_index":209,"sum":94594,"residue":430}],"minimal_cycle":[312,430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[209,441],"circle_positions":826,"cycle_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":[210,442,674,906,1138,1370],"clock_positions":[210,442,674,906,1138,1370],"native_values":[638,461,225,48,225,461],"rotation_degrees":54.310344827586206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,461,225,48,225,461],"beta":{"interval_sums":[96476,91166,90694,95296,93998,94470],"interval_residues":[660,306,660,306,660,306],"display_cycle":[660,306,660,306,660,306],"intervals":[{"from_index":210,"to_index":442,"sum":96476,"residue":660},{"from_index":442,"to_index":674,"sum":91166,"residue":306},{"from_index":674,"to_index":906,"sum":90694,"residue":660},{"from_index":906,"to_index":1138,"sum":95296,"residue":306},{"from_index":1138,"to_index":1370,"sum":93998,"residue":660},{"from_index":1370,"to_index":210,"sum":94470,"residue":306}],"minimal_cycle":[660,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[210,442],"circle_positions":826,"cycle_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":[211,443,675,907,1139,1371],"clock_positions":[211,443,675,907,1139,1371],"native_values":[149,621,562,621,149,208],"rotation_degrees":54.56896551724138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,621,562,621,149,208],"beta":{"interval_sums":[96788,90770,90180,94900,94310,94900],"interval_residues":[146,736,146,736,146,736],"display_cycle":[146,736,146,736,146,736],"intervals":[{"from_index":211,"to_index":443,"sum":96788,"residue":146},{"from_index":443,"to_index":675,"sum":90770,"residue":736},{"from_index":675,"to_index":907,"sum":90180,"residue":146},{"from_index":907,"to_index":1139,"sum":94900,"residue":736},{"from_index":1139,"to_index":1371,"sum":94310,"residue":146},{"from_index":1371,"to_index":211,"sum":94900,"residue":736}],"minimal_cycle":[146,736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[211,443],"circle_positions":826,"cycle_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":[212,444,676,908,1140,1372],"clock_positions":[212,444,676,908,1140,1372],"native_values":[787,256,787,669,374,669],"rotation_degrees":54.827586206896555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[787,256,787,669,374,669],"beta":{"interval_sums":[96622,91076,90014,94380,94144,94380],"interval_residues":[806,216,806,216,806,216],"display_cycle":[806,216,806,216,806,216],"intervals":[{"from_index":212,"to_index":444,"sum":96622,"residue":806},{"from_index":444,"to_index":676,"sum":91076,"residue":216},{"from_index":676,"to_index":908,"sum":90014,"residue":806},{"from_index":908,"to_index":1140,"sum":94380,"residue":216},{"from_index":1140,"to_index":1372,"sum":94144,"residue":806},{"from_index":1372,"to_index":212,"sum":94380,"residue":216}],"minimal_cycle":[806,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":806,"start_interval_clock_positions":[212,444],"circle_positions":826,"cycle_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":[213,445,677,909,1141,1373],"clock_positions":[213,445,677,909,1141,1373],"native_values":[110,51,523,464,523,51],"rotation_degrees":55.08620689655172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,51,523,464,523,51],"beta":{"interval_sums":[96768,91812,90160,94290,94290,95116],"interval_residues":[126,126,126,126,126,126],"display_cycle":[126,126,126,126,126,126],"intervals":[{"from_index":213,"to_index":445,"sum":96768,"residue":126},{"from_index":445,"to_index":677,"sum":91812,"residue":126},{"from_index":677,"to_index":909,"sum":90160,"residue":126},{"from_index":909,"to_index":1141,"sum":94290,"residue":126},{"from_index":1141,"to_index":1373,"sum":94290,"residue":126},{"from_index":1373,"to_index":213,"sum":95116,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[213,445],"circle_positions":826,"cycle_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":[214,446,678,910,1142,1374],"clock_positions":[214,446,678,910,1142,1374],"native_values":[71,307,484,307,71,720],"rotation_degrees":55.3448275862069,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,307,484,307,71,720],"beta":{"interval_sums":[96748,92028,90140,94506,94270,94506],"interval_residues":[106,342,106,342,106,342],"display_cycle":[106,342,106,342,106,342],"intervals":[{"from_index":214,"to_index":446,"sum":96748,"residue":106},{"from_index":446,"to_index":678,"sum":92028,"residue":342},{"from_index":678,"to_index":910,"sum":90140,"residue":106},{"from_index":910,"to_index":1142,"sum":94506,"residue":342},{"from_index":1142,"to_index":1374,"sum":94270,"residue":106},{"from_index":1374,"to_index":214,"sum":94506,"residue":342}],"minimal_cycle":[106,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[214,446],"circle_positions":826,"cycle_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":[215,447,679,911,1143,1375],"clock_positions":[215,447,679,911,1143,1375],"native_values":[181,358,181,771,594,771],"rotation_degrees":55.60344827586207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,358,181,771,594,771],"beta":{"interval_sums":[96874,92154,90266,93806,94396,93806],"interval_residues":[232,468,232,468,232,468],"display_cycle":[232,468,232,468,232,468],"intervals":[{"from_index":215,"to_index":447,"sum":96874,"residue":232},{"from_index":447,"to_index":679,"sum":92154,"residue":468},{"from_index":679,"to_index":911,"sum":90266,"residue":232},{"from_index":911,"to_index":1143,"sum":93806,"residue":468},{"from_index":1143,"to_index":1375,"sum":94396,"residue":232},{"from_index":1375,"to_index":215,"sum":93806,"residue":468}],"minimal_cycle":[232,468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[215,447],"circle_positions":826,"cycle_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":[216,448,680,912,1144,1376],"clock_positions":[216,448,680,912,1144,1376],"native_values":[252,665,665,252,665,665],"rotation_degrees":55.86206896551724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,665,665],"beta":{"interval_sums":[96980,91670,90372,94148,94502,93322],"interval_residues":[338,810,338,810,338,810],"display_cycle":[338,810,338,810,338,810],"intervals":[{"from_index":216,"to_index":448,"sum":96980,"residue":338},{"from_index":448,"to_index":680,"sum":91670,"residue":810},{"from_index":680,"to_index":912,"sum":90372,"residue":338},{"from_index":912,"to_index":1144,"sum":94148,"residue":810},{"from_index":1144,"to_index":1376,"sum":94502,"residue":338},{"from_index":1376,"to_index":216,"sum":93322,"residue":810}],"minimal_cycle":[338,810],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[216,448],"circle_positions":826,"cycle_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":[217,449,681,913,1145,1377],"clock_positions":[217,449,681,913,1145,1377],"native_values":[433,197,20,197,433,610],"rotation_degrees":56.12068965517241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,197,20,197,433,610],"beta":{"interval_sums":[97212,92138,90604,94616,94734,92964],"interval_residues":[570,452,570,452,570,452],"display_cycle":[570,452,570,452,570,452],"intervals":[{"from_index":217,"to_index":449,"sum":97212,"residue":570},{"from_index":449,"to_index":681,"sum":92138,"residue":452},{"from_index":681,"to_index":913,"sum":90604,"residue":570},{"from_index":913,"to_index":1145,"sum":94616,"residue":452},{"from_index":1145,"to_index":1377,"sum":94734,"residue":570},{"from_index":1377,"to_index":217,"sum":92964,"residue":452}],"minimal_cycle":[570,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[217,449],"circle_positions":826,"cycle_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":[218,450,682,914,1146,1378],"clock_positions":[218,450,682,914,1146,1378],"native_values":[685,36,685,449,272,449],"rotation_degrees":56.37931034482759,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,36,685,449,272,449],"beta":{"interval_sums":[96724,92122,90116,94600,95072,92948],"interval_residues":[82,436,82,436,82,436],"display_cycle":[82,436,82,436,82,436],"intervals":[{"from_index":218,"to_index":450,"sum":96724,"residue":82},{"from_index":450,"to_index":682,"sum":92122,"residue":436},{"from_index":682,"to_index":914,"sum":90116,"residue":82},{"from_index":914,"to_index":1146,"sum":94600,"residue":436},{"from_index":1146,"to_index":1378,"sum":95072,"residue":82},{"from_index":1378,"to_index":218,"sum":92948,"residue":436}],"minimal_cycle":[82,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[218,450],"circle_positions":826,"cycle_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":[219,451,683,915,1147,1379],"clock_positions":[219,451,683,915,1147,1379],"native_values":[292,233,705,646,705,233],"rotation_degrees":56.63793103448276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[292,233,705,646,705,233],"beta":{"interval_sums":[96468,92574,89860,94226,94816,93400],"interval_residues":[652,62,652,62,652,62],"display_cycle":[652,62,652,62,652,62],"intervals":[{"from_index":219,"to_index":451,"sum":96468,"residue":652},{"from_index":451,"to_index":683,"sum":92574,"residue":62},{"from_index":683,"to_index":915,"sum":89860,"residue":652},{"from_index":915,"to_index":1147,"sum":94226,"residue":62},{"from_index":1147,"to_index":1379,"sum":94816,"residue":652},{"from_index":1379,"to_index":219,"sum":93400,"residue":62}],"minimal_cycle":[652,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[219,451],"circle_positions":826,"cycle_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":[220,452,684,916,1148,1380],"clock_positions":[220,452,684,916,1148,1380],"native_values":[151,269,564,269,151,682],"rotation_degrees":56.89655172413793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,269,564,269,151,682],"beta":{"interval_sums":[96550,93010,89942,94662,94898,93010],"interval_residues":[734,498,734,498,734,498],"display_cycle":[734,498,734,498,734,498],"intervals":[{"from_index":220,"to_index":452,"sum":96550,"residue":734},{"from_index":452,"to_index":684,"sum":93010,"residue":498},{"from_index":684,"to_index":916,"sum":89942,"residue":734},{"from_index":916,"to_index":1148,"sum":94662,"residue":498},{"from_index":1148,"to_index":1380,"sum":94898,"residue":734},{"from_index":1380,"to_index":220,"sum":93010,"residue":498}],"minimal_cycle":[734,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[220,452],"circle_positions":826,"cycle_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":[221,453,685,917,1149,1381],"clock_positions":[221,453,685,917,1149,1381],"native_values":[443,502,443,89,30,89],"rotation_degrees":57.1551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,502,443,89,30,89],"beta":{"interval_sums":[96376,93072,89768,94724,95550,93072],"interval_residues":[560,560,560,560,560,560],"display_cycle":[560,560,560,560,560,560],"intervals":[{"from_index":221,"to_index":453,"sum":96376,"residue":560},{"from_index":453,"to_index":685,"sum":93072,"residue":560},{"from_index":685,"to_index":917,"sum":89768,"residue":560},{"from_index":917,"to_index":1149,"sum":94724,"residue":560},{"from_index":1149,"to_index":1381,"sum":95550,"residue":560},{"from_index":1381,"to_index":221,"sum":93072,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[221,453],"circle_positions":826,"cycle_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":[222,454,686,918,1150,1382],"clock_positions":[222,454,686,918,1150,1382],"native_values":[594,771,181,358,181,771],"rotation_degrees":57.41379310344828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,771,181,358,181,771],"beta":{"interval_sums":[96284,92744,89676,94396,95458,92744],"interval_residues":[468,232,468,232,468,232],"display_cycle":[468,232,468,232,468,232],"intervals":[{"from_index":222,"to_index":454,"sum":96284,"residue":468},{"from_index":454,"to_index":686,"sum":92744,"residue":232},{"from_index":686,"to_index":918,"sum":89676,"residue":468},{"from_index":918,"to_index":1150,"sum":94396,"residue":232},{"from_index":1150,"to_index":1382,"sum":95458,"residue":468},{"from_index":1382,"to_index":222,"sum":92744,"residue":232}],"minimal_cycle":[468,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[222,454],"circle_positions":826,"cycle_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":[223,455,687,919,1151,1383],"clock_positions":[223,455,687,919,1151,1383],"native_values":[211,447,624,447,211,34],"rotation_degrees":57.672413793103445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,447,624,447,211,34],"beta":{"interval_sums":[96844,92478,89410,94130,96018,93304],"interval_residues":[202,792,202,792,202,792],"display_cycle":[202,792,202,792,202,792],"intervals":[{"from_index":223,"to_index":455,"sum":96844,"residue":202},{"from_index":455,"to_index":687,"sum":92478,"residue":792},{"from_index":687,"to_index":919,"sum":89410,"residue":202},{"from_index":919,"to_index":1151,"sum":94130,"residue":792},{"from_index":1151,"to_index":1383,"sum":96018,"residue":202},{"from_index":1383,"to_index":223,"sum":93304,"residue":792}],"minimal_cycle":[202,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[223,455],"circle_positions":826,"cycle_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":[224,456,688,920,1152,1384],"clock_positions":[224,456,688,920,1152,1384],"native_values":[805,392,805,805,392,805],"rotation_degrees":57.93103448275862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,392,805],"beta":{"interval_sums":[96486,92710,89052,93536,95660,92710],"interval_residues":[670,198,670,198,670,198],"display_cycle":[670,198,670,198,670,198],"intervals":[{"from_index":224,"to_index":456,"sum":96486,"residue":670},{"from_index":456,"to_index":688,"sum":92710,"residue":198},{"from_index":688,"to_index":920,"sum":89052,"residue":670},{"from_index":920,"to_index":1152,"sum":93536,"residue":198},{"from_index":1152,"to_index":1384,"sum":95660,"residue":670},{"from_index":1384,"to_index":224,"sum":92710,"residue":198}],"minimal_cycle":[670,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[224,456],"circle_positions":826,"cycle_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":[225,457,689,921,1153,1385],"clock_positions":[225,457,689,921,1153,1385],"native_values":[190,13,603,426,603,13],"rotation_degrees":58.189655172413794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,13,603,426,603,13],"beta":{"interval_sums":[96688,93502,89254,93502,95862,93502],"interval_residues":[46,164,46,164,46,164],"display_cycle":[46,164,46,164,46,164],"intervals":[{"from_index":225,"to_index":457,"sum":96688,"residue":46},{"from_index":457,"to_index":689,"sum":93502,"residue":164},{"from_index":689,"to_index":921,"sum":89254,"residue":46},{"from_index":921,"to_index":1153,"sum":93502,"residue":164},{"from_index":1153,"to_index":1385,"sum":95862,"residue":46},{"from_index":1385,"to_index":225,"sum":93502,"residue":164}],"minimal_cycle":[46,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[225,457],"circle_positions":826,"cycle_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":[226,458,690,922,1154,1386],"clock_positions":[226,458,690,922,1154,1386],"native_values":[169,405,582,405,169,818],"rotation_degrees":58.44827586206897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,405,582,405,169,818],"beta":{"interval_sums":[96532,93700,89098,93700,95706,92874],"interval_residues":[716,362,716,362,716,362],"display_cycle":[716,362,716,362,716,362],"intervals":[{"from_index":226,"to_index":458,"sum":96532,"residue":716},{"from_index":458,"to_index":690,"sum":93700,"residue":362},{"from_index":690,"to_index":922,"sum":89098,"residue":716},{"from_index":922,"to_index":1154,"sum":93700,"residue":362},{"from_index":1154,"to_index":1386,"sum":95706,"residue":716},{"from_index":1386,"to_index":226,"sum":92874,"residue":362}],"minimal_cycle":[716,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[226,458],"circle_positions":826,"cycle_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":[227,459,691,923,1155,1387],"clock_positions":[227,459,691,923,1155,1387],"native_values":[359,418,359,5,772,5],"rotation_degrees":58.706896551724135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,418,359,5,772,5],"beta":{"interval_sums":[96578,93864,89144,93864,95752,93038],"interval_residues":[762,526,762,526,762,526],"display_cycle":[762,526,762,526,762,526],"intervals":[{"from_index":227,"to_index":459,"sum":96578,"residue":762},{"from_index":459,"to_index":691,"sum":93864,"residue":526},{"from_index":691,"to_index":923,"sum":89144,"residue":762},{"from_index":923,"to_index":1155,"sum":93864,"residue":526},{"from_index":1155,"to_index":1387,"sum":95752,"residue":762},{"from_index":1387,"to_index":227,"sum":93038,"residue":526}],"minimal_cycle":[762,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[227,459],"circle_positions":826,"cycle_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":[228,460,692,924,1156,1388],"clock_positions":[228,460,692,924,1156,1388],"native_values":[528,823,115,410,115,823],"rotation_degrees":58.96551724137931,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,823,115,410,115,823],"beta":{"interval_sums":[96468,93400,89034,94226,95642,92574],"interval_residues":[652,62,652,62,652,62],"display_cycle":[652,62,652,62,652,62],"intervals":[{"from_index":228,"to_index":460,"sum":96468,"residue":652},{"from_index":460,"to_index":692,"sum":93400,"residue":62},{"from_index":692,"to_index":924,"sum":89034,"residue":652},{"from_index":924,"to_index":1156,"sum":94226,"residue":62},{"from_index":1156,"to_index":1388,"sum":95642,"residue":652},{"from_index":1388,"to_index":228,"sum":92574,"residue":62}],"minimal_cycle":[652,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[228,460],"circle_positions":826,"cycle_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":[229,461,693,925,1157,1389],"clock_positions":[229,461,693,925,1157,1389],"native_values":[61,415,474,415,61,2],"rotation_degrees":59.224137931034484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,415,474,415,61,2],"beta":{"interval_sums":[97230,93100,88970,93926,96404,93100],"interval_residues":[588,588,588,588,588,588],"display_cycle":[588,588,588,588,588,588],"intervals":[{"from_index":229,"to_index":461,"sum":97230,"residue":588},{"from_index":461,"to_index":693,"sum":93100,"residue":588},{"from_index":693,"to_index":925,"sum":88970,"residue":588},{"from_index":925,"to_index":1157,"sum":93926,"residue":588},{"from_index":1157,"to_index":1389,"sum":96404,"residue":588},{"from_index":1389,"to_index":229,"sum":93100,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[229,461],"circle_positions":826,"cycle_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":[230,462,694,926,1158,1390],"clock_positions":[230,462,694,926,1158,1390],"native_values":[589,412,589,825,176,825],"rotation_degrees":59.48275862068966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,412,589,825,176,825],"beta":{"interval_sums":[97056,93162,88796,93162,96230,92336],"interval_residues":[414,650,414,650,414,650],"display_cycle":[414,650,414,650,414,650],"intervals":[{"from_index":230,"to_index":462,"sum":97056,"residue":414},{"from_index":462,"to_index":694,"sum":93162,"residue":650},{"from_index":694,"to_index":926,"sum":88796,"residue":414},{"from_index":926,"to_index":1158,"sum":93162,"residue":650},{"from_index":1158,"to_index":1390,"sum":96230,"residue":414},{"from_index":1390,"to_index":230,"sum":92336,"residue":650}],"minimal_cycle":[414,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[230,462],"circle_positions":826,"cycle_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":[231,463,695,927,1159,1391],"clock_positions":[231,463,695,927,1159,1391],"native_values":[650,1,237,414,237,1],"rotation_degrees":59.741379310344826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,1,237,414,237,1],"beta":{"interval_sums":[96818,93750,89384,92924,96818,92924],"interval_residues":[176,412,176,412,176,412],"display_cycle":[176,412,176,412,176,412],"intervals":[{"from_index":231,"to_index":463,"sum":96818,"residue":176},{"from_index":463,"to_index":695,"sum":93750,"residue":412},{"from_index":695,"to_index":927,"sum":89384,"residue":176},{"from_index":927,"to_index":1159,"sum":92924,"residue":412},{"from_index":1159,"to_index":1391,"sum":96818,"residue":176},{"from_index":1391,"to_index":231,"sum":92924,"residue":412}],"minimal_cycle":[176,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[231,463],"circle_positions":826,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[{"formation_id":"6-nodes-offset-0","shape":"Hexagon","values":[826,413,413,826,413,413],"rotation_degrees":0.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-8","shape":"Hexagon","values":[21,434,21,21,434,21],"rotation_degrees":2.0689655172413794,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-16","shape":"Hexagon","values":[161,161,574,161,161,574],"rotation_degrees":4.137931034482759,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-24","shape":"Hexagon","values":[112,525,525,112,525,525],"rotation_degrees":6.206896551724138,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-32","shape":"Hexagon","values":[147,560,147,147,560,147],"rotation_degrees":8.275862068965518,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-40","shape":"Hexagon","values":[189,189,602,189,189,602],"rotation_degrees":10.344827586206897,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-48","shape":"Hexagon","values":[476,63,63,476,63,63],"rotation_degrees":12.413793103448276,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-56","shape":"Hexagon","values":[707,294,707,707,294,707],"rotation_degrees":14.482758620689655,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-64","shape":"Hexagon","values":[539,539,126,539,539,126],"rotation_degrees":16.551724137931036,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-72","shape":"Hexagon","values":[672,259,259,672,259,259],"rotation_degrees":18.620689655172413,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-80","shape":"Hexagon","values":[483,70,483,483,70,483],"rotation_degrees":20.689655172413794,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-88","shape":"Hexagon","values":[553,553,140,553,553,140],"rotation_degrees":22.75862068965517,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-96","shape":"Hexagon","values":[728,315,315,728,315,315],"rotation_degrees":24.82758620689655,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-104","shape":"Hexagon","values":[623,210,623,623,210,623],"rotation_degrees":26.896551724137932,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-112","shape":"Hexagon","values":[469,469,56,469,469,56],"rotation_degrees":28.96551724137931,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-120","shape":"Hexagon","values":[770,357,357,770,357,357],"rotation_degrees":31.03448275862069,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-128","shape":"Hexagon","values":[203,616,203,203,616,203],"rotation_degrees":33.10344827586207,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-136","shape":"Hexagon","values":[511,511,98,511,511,98],"rotation_degrees":35.172413793103445,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-144","shape":"Hexagon","values":[686,273,273,686,273,273],"rotation_degrees":37.241379310344826,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-152","shape":"Hexagon","values":[343,756,343,343,756,343],"rotation_degrees":39.310344827586206,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-160","shape":"Hexagon","values":[567,567,154,567,567,154],"rotation_degrees":41.37931034482759,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-168","shape":"Hexagon","values":[700,287,287,700,287,287],"rotation_degrees":43.44827586206897,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-176","shape":"Hexagon","values":[119,532,119,119,532,119],"rotation_degrees":45.51724137931034,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-184","shape":"Hexagon","values":[763,763,350,763,763,350],"rotation_degrees":47.58620689655172,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-192","shape":"Hexagon","values":[224,637,637,224,637,637],"rotation_degrees":49.6551724137931,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-200","shape":"Hexagon","values":[679,266,679,679,266,679],"rotation_degrees":51.724137931034484,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-208","shape":"Hexagon","values":[301,301,714,301,301,714],"rotation_degrees":53.793103448275865,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-216","shape":"Hexagon","values":[252,665,665,252,665,665],"rotation_degrees":55.86206896551724,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-224","shape":"Hexagon","values":[805,392,805,805,392,805],"rotation_degrees":57.93103448275862,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"}],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,464,1160,696,232,928,0],"clock_positions":[1392,464,1160,696,232,928,1392],"native_values":[826,413,413,826,413,413,826],"reduced_m9_values":[9,8,8,9,8,8,9],"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":232,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,232,464,696,928,1160],"clock_positions":[1392,232,464,696,928,1160],"native_values":[826,413,413,826,413,413],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1392,"value":826},{"alpha_index":232,"clock_position":232,"value":413},{"alpha_index":464,"clock_position":464,"value":413},{"alpha_index":696,"clock_position":696,"value":826},{"alpha_index":928,"clock_position":928,"value":413},{"alpha_index":1160,"clock_position":1160,"value":413}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,233,465,697,929,1161],"clock_positions":[1,233,465,697,929,1161],"native_values":[1,237,414,237,1,650],"rotation_degrees":0.25862068965517243,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":233,"clock_position":233,"value":237},{"alpha_index":465,"clock_position":465,"value":414},{"alpha_index":697,"clock_position":697,"value":237},{"alpha_index":929,"clock_position":929,"value":1},{"alpha_index":1161,"clock_position":1161,"value":650}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,234,466,698,930,1162],"clock_positions":[2,234,466,698,930,1162],"native_values":[1,650,1,237,414,237],"rotation_degrees":0.5172413793103449,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":234,"clock_position":234,"value":650},{"alpha_index":466,"clock_position":466,"value":1},{"alpha_index":698,"clock_position":698,"value":237},{"alpha_index":930,"clock_position":930,"value":414},{"alpha_index":1162,"clock_position":1162,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,235,467,699,931,1163],"clock_positions":[3,235,467,699,931,1163],"native_values":[2,61,415,474,415,61],"rotation_degrees":0.7758620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":235,"clock_position":235,"value":61},{"alpha_index":467,"clock_position":467,"value":415},{"alpha_index":699,"clock_position":699,"value":474},{"alpha_index":931,"clock_position":931,"value":415},{"alpha_index":1163,"clock_position":1163,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,236,468,700,932,1164],"clock_positions":[4,236,468,700,932,1164],"native_values":[3,711,416,711,3,298],"rotation_degrees":1.0344827586206897,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":236,"clock_position":236,"value":711},{"alpha_index":468,"clock_position":468,"value":416},{"alpha_index":700,"clock_position":700,"value":711},{"alpha_index":1164,"clock_position":1164,"value":298}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,237,469,701,933,1165],"clock_positions":[5,237,469,701,933,1165],"native_values":[5,772,5,359,418,359],"rotation_degrees":1.293103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":237,"clock_position":237,"value":772},{"alpha_index":469,"clock_position":469,"value":5},{"alpha_index":701,"clock_position":701,"value":359},{"alpha_index":933,"clock_position":933,"value":418},{"alpha_index":1165,"clock_position":1165,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,238,470,702,934,1166],"clock_positions":[6,238,470,702,934,1166],"native_values":[8,657,421,244,421,657],"rotation_degrees":1.5517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":238,"clock_position":238,"value":657},{"alpha_index":470,"clock_position":470,"value":421},{"alpha_index":702,"clock_position":702,"value":244},{"alpha_index":934,"clock_position":934,"value":421},{"alpha_index":1166,"clock_position":1166,"value":657}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,239,471,703,935,1167],"clock_positions":[7,239,471,703,935,1167],"native_values":[13,603,426,603,13,190],"rotation_degrees":1.8103448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":239,"clock_position":239,"value":603},{"alpha_index":471,"clock_position":471,"value":426},{"alpha_index":703,"clock_position":703,"value":603},{"alpha_index":935,"clock_position":935,"value":13},{"alpha_index":1167,"clock_position":1167,"value":190}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,240,472,704,936,1168],"clock_positions":[8,240,472,704,936,1168],"native_values":[21,434,21,21,434,21],"rotation_degrees":2.0689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":240,"clock_position":240,"value":434},{"alpha_index":472,"clock_position":472,"value":21},{"alpha_index":704,"clock_position":704,"value":21},{"alpha_index":936,"clock_position":936,"value":434},{"alpha_index":1168,"clock_position":1168,"value":21}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,241,473,705,937,1169],"clock_positions":[9,241,473,705,937,1169],"native_values":[34,211,447,624,447,211],"rotation_degrees":2.3275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":241,"clock_position":241,"value":211},{"alpha_index":473,"clock_position":473,"value":447},{"alpha_index":705,"clock_position":705,"value":624},{"alpha_index":937,"clock_position":937,"value":447},{"alpha_index":1169,"clock_position":1169,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,242,474,706,938,1170],"clock_positions":[10,242,474,706,938,1170],"native_values":[55,645,468,645,55,232],"rotation_degrees":2.586206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":242,"clock_position":242,"value":645},{"alpha_index":474,"clock_position":474,"value":468},{"alpha_index":706,"clock_position":706,"value":645},{"alpha_index":938,"clock_position":938,"value":55},{"alpha_index":1170,"clock_position":1170,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,243,475,707,939,1171],"clock_positions":[11,243,475,707,939,1171],"native_values":[89,30,89,443,502,443],"rotation_degrees":2.8448275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":243,"clock_position":243,"value":30},{"alpha_index":475,"clock_position":475,"value":89},{"alpha_index":707,"clock_position":707,"value":443},{"alpha_index":939,"clock_position":939,"value":502},{"alpha_index":1171,"clock_position":1171,"value":443}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,244,476,708,940,1172],"clock_positions":[12,244,476,708,940,1172],"native_values":[144,675,557,262,557,675],"rotation_degrees":3.103448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":244,"clock_position":244,"value":675},{"alpha_index":476,"clock_position":476,"value":557},{"alpha_index":708,"clock_position":708,"value":262},{"alpha_index":940,"clock_position":940,"value":557},{"alpha_index":1172,"clock_position":1172,"value":675}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,245,477,709,941,1173],"clock_positions":[13,245,477,709,941,1173],"native_values":[233,705,646,705,233,292],"rotation_degrees":3.3620689655172415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":245,"clock_position":245,"value":705},{"alpha_index":477,"clock_position":477,"value":646},{"alpha_index":709,"clock_position":709,"value":705},{"alpha_index":941,"clock_position":941,"value":233},{"alpha_index":1173,"clock_position":1173,"value":292}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,246,478,710,942,1174],"clock_positions":[14,246,478,710,942,1174],"native_values":[377,554,377,141,790,141],"rotation_degrees":3.6206896551724137,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":246,"clock_position":246,"value":554},{"alpha_index":478,"clock_position":478,"value":377},{"alpha_index":710,"clock_position":710,"value":141},{"alpha_index":942,"clock_position":942,"value":790},{"alpha_index":1174,"clock_position":1174,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,247,479,711,943,1175],"clock_positions":[15,247,479,711,943,1175],"native_values":[610,433,197,20,197,433],"rotation_degrees":3.8793103448275863,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":247,"clock_position":247,"value":433},{"alpha_index":479,"clock_position":479,"value":197},{"alpha_index":711,"clock_position":711,"value":20},{"alpha_index":943,"clock_position":943,"value":197},{"alpha_index":1175,"clock_position":1175,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,248,480,712,944,1176],"clock_positions":[16,248,480,712,944,1176],"native_values":[161,161,574,161,161,574],"rotation_degrees":4.137931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":161},{"alpha_index":248,"clock_position":248,"value":161},{"alpha_index":480,"clock_position":480,"value":574},{"alpha_index":712,"clock_position":712,"value":161},{"alpha_index":944,"clock_position":944,"value":161},{"alpha_index":1176,"clock_position":1176,"value":574}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,249,481,713,945,1177],"clock_positions":[17,249,481,713,945,1177],"native_values":[771,594,771,181,358,181],"rotation_degrees":4.396551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":771},{"alpha_index":249,"clock_position":249,"value":594},{"alpha_index":481,"clock_position":481,"value":771},{"alpha_index":713,"clock_position":713,"value":181},{"alpha_index":945,"clock_position":945,"value":358},{"alpha_index":1177,"clock_position":1177,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,250,482,714,946,1178],"clock_positions":[18,250,482,714,946,1178],"native_values":[106,755,519,342,519,755],"rotation_degrees":4.655172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":106},{"alpha_index":250,"clock_position":250,"value":755},{"alpha_index":482,"clock_position":482,"value":519},{"alpha_index":714,"clock_position":714,"value":342},{"alpha_index":946,"clock_position":946,"value":519},{"alpha_index":1178,"clock_position":1178,"value":755}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,251,483,715,947,1179],"clock_positions":[19,251,483,715,947,1179],"native_values":[51,523,464,523,51,110],"rotation_degrees":4.913793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":51},{"alpha_index":251,"clock_position":251,"value":523},{"alpha_index":483,"clock_position":483,"value":464},{"alpha_index":715,"clock_position":715,"value":523},{"alpha_index":947,"clock_position":947,"value":51},{"alpha_index":1179,"clock_position":1179,"value":110}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,252,484,716,948,1180],"clock_positions":[20,252,484,716,948,1180],"native_values":[157,452,157,39,570,39],"rotation_degrees":5.172413793103448,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":157},{"alpha_index":252,"clock_position":252,"value":452},{"alpha_index":484,"clock_position":484,"value":157},{"alpha_index":716,"clock_position":716,"value":39},{"alpha_index":948,"clock_position":948,"value":570},{"alpha_index":1180,"clock_position":1180,"value":39}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,253,485,717,949,1181],"clock_positions":[21,253,485,717,949,1181],"native_values":[208,149,621,562,621,149],"rotation_degrees":5.431034482758621,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":208},{"alpha_index":253,"clock_position":253,"value":149},{"alpha_index":485,"clock_position":485,"value":621},{"alpha_index":717,"clock_position":717,"value":562},{"alpha_index":949,"clock_position":949,"value":621},{"alpha_index":1181,"clock_position":1181,"value":149}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,254,486,718,950,1182],"clock_positions":[22,254,486,718,950,1182],"native_values":[365,601,778,601,365,188],"rotation_degrees":5.689655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":365},{"alpha_index":254,"clock_position":254,"value":601},{"alpha_index":486,"clock_position":486,"value":778},{"alpha_index":718,"clock_position":718,"value":601},{"alpha_index":950,"clock_position":950,"value":365},{"alpha_index":1182,"clock_position":1182,"value":188}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,255,487,719,951,1183],"clock_positions":[23,255,487,719,951,1183],"native_values":[573,750,573,337,160,337],"rotation_degrees":5.948275862068965,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":573},{"alpha_index":255,"clock_position":255,"value":750},{"alpha_index":487,"clock_position":487,"value":573},{"alpha_index":719,"clock_position":719,"value":337},{"alpha_index":951,"clock_position":951,"value":160},{"alpha_index":1183,"clock_position":1183,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,256,488,720,952,1184],"clock_positions":[24,256,488,720,952,1184],"native_values":[112,525,525,112,525,525],"rotation_degrees":6.206896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":112},{"alpha_index":256,"clock_position":256,"value":525},{"alpha_index":488,"clock_position":488,"value":525},{"alpha_index":720,"clock_position":720,"value":112},{"alpha_index":952,"clock_position":952,"value":525},{"alpha_index":1184,"clock_position":1184,"value":525}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,257,489,721,953,1185],"clock_positions":[25,257,489,721,953,1185],"native_values":[685,449,272,449,685,36],"rotation_degrees":6.4655172413793105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":685},{"alpha_index":257,"clock_position":257,"value":449},{"alpha_index":489,"clock_position":489,"value":272},{"alpha_index":721,"clock_position":721,"value":449},{"alpha_index":953,"clock_position":953,"value":685},{"alpha_index":1185,"clock_position":1185,"value":36}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,258,490,722,954,1186],"clock_positions":[26,258,490,722,954,1186],"native_values":[797,148,797,561,384,561],"rotation_degrees":6.724137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":797},{"alpha_index":258,"clock_position":258,"value":148},{"alpha_index":490,"clock_position":490,"value":797},{"alpha_index":722,"clock_position":722,"value":561},{"alpha_index":954,"clock_position":954,"value":384},{"alpha_index":1186,"clock_position":1186,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,259,491,723,955,1187],"clock_positions":[27,259,491,723,955,1187],"native_values":[656,597,243,184,243,597],"rotation_degrees":6.982758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":656},{"alpha_index":259,"clock_position":259,"value":597},{"alpha_index":491,"clock_position":491,"value":243},{"alpha_index":723,"clock_position":723,"value":184},{"alpha_index":955,"clock_position":955,"value":243},{"alpha_index":1187,"clock_position":1187,"value":597}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,260,492,724,956,1188],"clock_positions":[28,260,492,724,956,1188],"native_values":[627,745,214,745,627,332],"rotation_degrees":7.241379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":627},{"alpha_index":260,"clock_position":260,"value":745},{"alpha_index":492,"clock_position":492,"value":214},{"alpha_index":724,"clock_position":724,"value":745},{"alpha_index":956,"clock_position":956,"value":627},{"alpha_index":1188,"clock_position":1188,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,261,493,725,957,1189],"clock_positions":[29,261,493,725,957,1189],"native_values":[457,516,457,103,44,103],"rotation_degrees":7.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":457},{"alpha_index":261,"clock_position":261,"value":516},{"alpha_index":493,"clock_position":493,"value":457},{"alpha_index":725,"clock_position":725,"value":103},{"alpha_index":957,"clock_position":957,"value":44},{"alpha_index":1189,"clock_position":1189,"value":103}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,262,494,726,958,1190],"clock_positions":[30,262,494,726,958,1190],"native_values":[258,435,671,22,671,435],"rotation_degrees":7.758620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":258},{"alpha_index":262,"clock_position":262,"value":435},{"alpha_index":494,"clock_position":494,"value":671},{"alpha_index":726,"clock_position":726,"value":22},{"alpha_index":958,"clock_position":958,"value":671},{"alpha_index":1190,"clock_position":1190,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,263,495,727,959,1191],"clock_positions":[31,263,495,727,959,1191],"native_values":[715,125,302,125,715,538],"rotation_degrees":8.017241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":715},{"alpha_index":263,"clock_position":263,"value":125},{"alpha_index":495,"clock_position":495,"value":302},{"alpha_index":727,"clock_position":727,"value":125},{"alpha_index":959,"clock_position":959,"value":715},{"alpha_index":1191,"clock_position":1191,"value":538}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,264,496,728,960,1192],"clock_positions":[32,264,496,728,960,1192],"native_values":[147,560,147,147,560,147],"rotation_degrees":8.275862068965518,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":147},{"alpha_index":264,"clock_position":264,"value":560},{"alpha_index":496,"clock_position":496,"value":147},{"alpha_index":728,"clock_position":728,"value":147},{"alpha_index":960,"clock_position":960,"value":560},{"alpha_index":1192,"clock_position":1192,"value":147}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,265,497,729,961,1193],"clock_positions":[33,265,497,729,961,1193],"native_values":[36,685,449,272,449,685],"rotation_degrees":8.53448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":36},{"alpha_index":265,"clock_position":265,"value":685},{"alpha_index":497,"clock_position":497,"value":449},{"alpha_index":729,"clock_position":729,"value":272},{"alpha_index":961,"clock_position":961,"value":449},{"alpha_index":1193,"clock_position":1193,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,266,498,730,962,1194],"clock_positions":[34,266,498,730,962,1194],"native_values":[183,419,596,419,183,6],"rotation_degrees":8.793103448275861,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":183},{"alpha_index":266,"clock_position":266,"value":419},{"alpha_index":498,"clock_position":498,"value":596},{"alpha_index":730,"clock_position":730,"value":419},{"alpha_index":962,"clock_position":962,"value":183}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,267,499,731,963,1195],"clock_positions":[35,267,499,731,963,1195],"native_values":[219,278,219,691,632,691],"rotation_degrees":9.051724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":219},{"alpha_index":267,"clock_position":267,"value":278},{"alpha_index":499,"clock_position":499,"value":219},{"alpha_index":731,"clock_position":731,"value":691},{"alpha_index":963,"clock_position":963,"value":632},{"alpha_index":1195,"clock_position":1195,"value":691}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,268,500,732,964,1196],"clock_positions":[36,268,500,732,964,1196],"native_values":[402,697,815,284,815,697],"rotation_degrees":9.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":402},{"alpha_index":268,"clock_position":268,"value":697},{"alpha_index":500,"clock_position":500,"value":815},{"alpha_index":732,"clock_position":732,"value":284},{"alpha_index":964,"clock_position":964,"value":815},{"alpha_index":1196,"clock_position":1196,"value":697}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,269,501,733,965,1197],"clock_positions":[37,269,501,733,965,1197],"native_values":[621,149,208,149,621,562],"rotation_degrees":9.568965517241379,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":621},{"alpha_index":269,"clock_position":269,"value":149},{"alpha_index":501,"clock_position":501,"value":208},{"alpha_index":733,"clock_position":733,"value":149},{"alpha_index":965,"clock_position":965,"value":621},{"alpha_index":1197,"clock_position":1197,"value":562}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,270,502,734,966,1198],"clock_positions":[38,270,502,734,966,1198],"native_values":[197,20,197,433,610,433],"rotation_degrees":9.827586206896552,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":197},{"alpha_index":270,"clock_position":270,"value":20},{"alpha_index":502,"clock_position":502,"value":197},{"alpha_index":734,"clock_position":734,"value":433},{"alpha_index":966,"clock_position":966,"value":610},{"alpha_index":1198,"clock_position":1198,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,271,503,735,967,1199],"clock_positions":[39,271,503,735,967,1199],"native_values":[818,169,405,582,405,169],"rotation_degrees":10.086206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":818},{"alpha_index":271,"clock_position":271,"value":169},{"alpha_index":503,"clock_position":503,"value":405},{"alpha_index":735,"clock_position":735,"value":582},{"alpha_index":967,"clock_position":967,"value":405},{"alpha_index":1199,"clock_position":1199,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,272,504,736,968,1200],"clock_positions":[40,272,504,736,968,1200],"native_values":[189,189,602,189,189,602],"rotation_degrees":10.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":189},{"alpha_index":272,"clock_position":272,"value":189},{"alpha_index":504,"clock_position":504,"value":602},{"alpha_index":736,"clock_position":736,"value":189},{"alpha_index":968,"clock_position":968,"value":189},{"alpha_index":1200,"clock_position":1200,"value":602}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,273,505,737,969,1201],"clock_positions":[41,273,505,737,969,1201],"native_values":[181,358,181,771,594,771],"rotation_degrees":10.60344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":181},{"alpha_index":273,"clock_position":273,"value":358},{"alpha_index":505,"clock_position":505,"value":181},{"alpha_index":737,"clock_position":737,"value":771},{"alpha_index":969,"clock_position":969,"value":594},{"alpha_index":1201,"clock_position":1201,"value":771}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,274,506,738,970,1202],"clock_positions":[42,274,506,738,970,1202],"native_values":[370,547,783,134,783,547],"rotation_degrees":10.862068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":370},{"alpha_index":274,"clock_position":274,"value":547},{"alpha_index":506,"clock_position":506,"value":783},{"alpha_index":738,"clock_position":738,"value":134},{"alpha_index":970,"clock_position":970,"value":783},{"alpha_index":1202,"clock_position":1202,"value":547}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,275,507,739,971,1203],"clock_positions":[43,275,507,739,971,1203],"native_values":[551,79,138,79,551,492],"rotation_degrees":11.120689655172415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":551},{"alpha_index":275,"clock_position":275,"value":79},{"alpha_index":507,"clock_position":507,"value":138},{"alpha_index":739,"clock_position":739,"value":79},{"alpha_index":971,"clock_position":971,"value":551},{"alpha_index":1203,"clock_position":1203,"value":492}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,276,508,740,972,1204],"clock_positions":[44,276,508,740,972,1204],"native_values":[95,626,95,213,508,213],"rotation_degrees":11.379310344827585,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":95},{"alpha_index":276,"clock_position":276,"value":626},{"alpha_index":508,"clock_position":508,"value":95},{"alpha_index":740,"clock_position":740,"value":213},{"alpha_index":972,"clock_position":972,"value":508},{"alpha_index":1204,"clock_position":1204,"value":213}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,277,509,741,973,1205],"clock_positions":[45,277,509,741,973,1205],"native_values":[646,705,233,292,233,705],"rotation_degrees":11.637931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":646},{"alpha_index":277,"clock_position":277,"value":705},{"alpha_index":509,"clock_position":509,"value":233},{"alpha_index":741,"clock_position":741,"value":292},{"alpha_index":973,"clock_position":973,"value":233},{"alpha_index":1205,"clock_position":1205,"value":705}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,278,510,742,974,1206],"clock_positions":[46,278,510,742,974,1206],"native_values":[741,505,328,505,741,92],"rotation_degrees":11.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":741},{"alpha_index":278,"clock_position":278,"value":505},{"alpha_index":510,"clock_position":510,"value":328},{"alpha_index":742,"clock_position":742,"value":505},{"alpha_index":974,"clock_position":974,"value":741},{"alpha_index":1206,"clock_position":1206,"value":92}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,279,511,743,975,1207],"clock_positions":[47,279,511,743,975,1207],"native_values":[561,384,561,797,148,797],"rotation_degrees":12.155172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":561},{"alpha_index":279,"clock_position":279,"value":384},{"alpha_index":511,"clock_position":511,"value":561},{"alpha_index":743,"clock_position":743,"value":797},{"alpha_index":975,"clock_position":975,"value":148},{"alpha_index":1207,"clock_position":1207,"value":797}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,280,512,744,976,1208],"clock_positions":[48,280,512,744,976,1208],"native_values":[476,63,63,476,63,63],"rotation_degrees":12.413793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":476},{"alpha_index":280,"clock_position":280,"value":63},{"alpha_index":512,"clock_position":512,"value":63},{"alpha_index":744,"clock_position":744,"value":476},{"alpha_index":976,"clock_position":976,"value":63},{"alpha_index":1208,"clock_position":1208,"value":63}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,281,513,745,977,1209],"clock_positions":[49,281,513,745,977,1209],"native_values":[211,447,624,447,211,34],"rotation_degrees":12.672413793103448,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":211},{"alpha_index":281,"clock_position":281,"value":447},{"alpha_index":513,"clock_position":513,"value":624},{"alpha_index":745,"clock_position":745,"value":447},{"alpha_index":977,"clock_position":977,"value":211},{"alpha_index":1209,"clock_position":1209,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,282,514,746,978,1210],"clock_positions":[50,282,514,746,978,1210],"native_values":[687,510,687,97,274,97],"rotation_degrees":12.931034482758621,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":687},{"alpha_index":282,"clock_position":282,"value":510},{"alpha_index":514,"clock_position":514,"value":687},{"alpha_index":746,"clock_position":746,"value":97},{"alpha_index":978,"clock_position":978,"value":274},{"alpha_index":1210,"clock_position":1210,"value":97}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,283,515,747,979,1211],"clock_positions":[51,283,515,747,979,1211],"native_values":[72,131,485,544,485,131],"rotation_degrees":13.189655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":72},{"alpha_index":283,"clock_position":283,"value":131},{"alpha_index":515,"clock_position":515,"value":485},{"alpha_index":747,"clock_position":747,"value":544},{"alpha_index":979,"clock_position":979,"value":485},{"alpha_index":1211,"clock_position":1211,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,284,516,748,980,1212],"clock_positions":[52,284,516,748,980,1212],"native_values":[759,641,346,641,759,228],"rotation_degrees":13.448275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":759},{"alpha_index":284,"clock_position":284,"value":641},{"alpha_index":516,"clock_position":516,"value":346},{"alpha_index":748,"clock_position":748,"value":641},{"alpha_index":980,"clock_position":980,"value":759},{"alpha_index":1212,"clock_position":1212,"value":228}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,285,517,749,981,1213],"clock_positions":[53,285,517,749,981,1213],"native_values":[5,772,5,359,418,359],"rotation_degrees":13.706896551724139,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":5},{"alpha_index":285,"clock_position":285,"value":772},{"alpha_index":517,"clock_position":517,"value":5},{"alpha_index":749,"clock_position":749,"value":359},{"alpha_index":981,"clock_position":981,"value":418},{"alpha_index":1213,"clock_position":1213,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,286,518,750,982,1214],"clock_positions":[54,286,518,750,982,1214],"native_values":[764,587,351,174,351,587],"rotation_degrees":13.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":764},{"alpha_index":286,"clock_position":286,"value":587},{"alpha_index":518,"clock_position":518,"value":351},{"alpha_index":750,"clock_position":750,"value":174},{"alpha_index":982,"clock_position":982,"value":351},{"alpha_index":1214,"clock_position":1214,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,287,519,751,983,1215],"clock_positions":[55,287,519,751,983,1215],"native_values":[769,533,356,533,769,120],"rotation_degrees":14.224137931034482,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":769},{"alpha_index":287,"clock_position":287,"value":533},{"alpha_index":519,"clock_position":519,"value":356},{"alpha_index":751,"clock_position":751,"value":533},{"alpha_index":983,"clock_position":983,"value":769},{"alpha_index":1215,"clock_position":1215,"value":120}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,288,520,752,984,1216],"clock_positions":[56,288,520,752,984,1216],"native_values":[707,294,707,707,294,707],"rotation_degrees":14.482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":707},{"alpha_index":288,"clock_position":288,"value":294},{"alpha_index":520,"clock_position":520,"value":707},{"alpha_index":752,"clock_position":752,"value":707},{"alpha_index":984,"clock_position":984,"value":294},{"alpha_index":1216,"clock_position":1216,"value":707}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,289,521,753,985,1217],"clock_positions":[57,289,521,753,985,1217],"native_values":[650,1,237,414,237,1],"rotation_degrees":14.741379310344827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":650},{"alpha_index":289,"clock_position":289,"value":1},{"alpha_index":521,"clock_position":521,"value":237},{"alpha_index":753,"clock_position":753,"value":414},{"alpha_index":985,"clock_position":985,"value":237},{"alpha_index":1217,"clock_position":1217,"value":1}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,290,522,754,986,1218],"clock_positions":[58,290,522,754,986,1218],"native_values":[531,295,118,295,531,708],"rotation_degrees":15.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":531},{"alpha_index":290,"clock_position":290,"value":295},{"alpha_index":522,"clock_position":522,"value":118},{"alpha_index":754,"clock_position":754,"value":295},{"alpha_index":986,"clock_position":986,"value":531},{"alpha_index":1218,"clock_position":1218,"value":708}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,291,523,755,987,1219],"clock_positions":[59,291,523,755,987,1219],"native_values":[355,296,355,709,768,709],"rotation_degrees":15.258620689655173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":355},{"alpha_index":291,"clock_position":291,"value":296},{"alpha_index":523,"clock_position":523,"value":355},{"alpha_index":755,"clock_position":755,"value":709},{"alpha_index":987,"clock_position":987,"value":768},{"alpha_index":1219,"clock_position":1219,"value":709}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,292,524,756,988,1220],"clock_positions":[60,292,524,756,988,1220],"native_values":[60,591,473,178,473,591],"rotation_degrees":15.517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":60},{"alpha_index":292,"clock_position":292,"value":591},{"alpha_index":524,"clock_position":524,"value":473},{"alpha_index":756,"clock_position":756,"value":178},{"alpha_index":988,"clock_position":988,"value":473},{"alpha_index":1220,"clock_position":1220,"value":591}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,293,525,757,989,1221],"clock_positions":[61,293,525,757,989,1221],"native_values":[415,61,2,61,415,474],"rotation_degrees":15.775862068965518,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":415},{"alpha_index":293,"clock_position":293,"value":61},{"alpha_index":525,"clock_position":525,"value":2},{"alpha_index":757,"clock_position":757,"value":61},{"alpha_index":989,"clock_position":989,"value":415},{"alpha_index":1221,"clock_position":1221,"value":474}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,294,526,758,990,1222],"clock_positions":[62,294,526,758,990,1222],"native_values":[475,652,475,239,62,239],"rotation_degrees":16.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":475},{"alpha_index":294,"clock_position":294,"value":652},{"alpha_index":526,"clock_position":526,"value":475},{"alpha_index":758,"clock_position":758,"value":239},{"alpha_index":990,"clock_position":990,"value":62},{"alpha_index":1222,"clock_position":1222,"value":239}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,295,527,759,991,1223],"clock_positions":[63,295,527,759,991,1223],"native_values":[64,713,477,300,477,713],"rotation_degrees":16.29310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":64},{"alpha_index":295,"clock_position":295,"value":713},{"alpha_index":527,"clock_position":527,"value":477},{"alpha_index":759,"clock_position":759,"value":300},{"alpha_index":991,"clock_position":991,"value":477},{"alpha_index":1223,"clock_position":1223,"value":713}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,296,528,760,992,1224],"clock_positions":[64,296,528,760,992,1224],"native_values":[539,539,126,539,539,126],"rotation_degrees":16.551724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":539},{"alpha_index":296,"clock_position":296,"value":539},{"alpha_index":528,"clock_position":528,"value":126},{"alpha_index":760,"clock_position":760,"value":539},{"alpha_index":992,"clock_position":992,"value":539},{"alpha_index":1224,"clock_position":1224,"value":126}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,297,529,761,993,1225],"clock_positions":[65,297,529,761,993,1225],"native_values":[603,426,603,13,190,13],"rotation_degrees":16.810344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":603},{"alpha_index":297,"clock_position":297,"value":426},{"alpha_index":529,"clock_position":529,"value":603},{"alpha_index":761,"clock_position":761,"value":13},{"alpha_index":993,"clock_position":993,"value":190},{"alpha_index":1225,"clock_position":1225,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,298,530,762,994,1226],"clock_positions":[66,298,530,762,994,1226],"native_values":[316,139,729,552,729,139],"rotation_degrees":17.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":316},{"alpha_index":298,"clock_position":298,"value":139},{"alpha_index":530,"clock_position":530,"value":729},{"alpha_index":762,"clock_position":762,"value":552},{"alpha_index":994,"clock_position":994,"value":729},{"alpha_index":1226,"clock_position":1226,"value":139}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,299,531,763,995,1227],"clock_positions":[67,299,531,763,995,1227],"native_values":[93,565,506,565,93,152],"rotation_degrees":17.32758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":93},{"alpha_index":299,"clock_position":299,"value":565},{"alpha_index":531,"clock_position":531,"value":506},{"alpha_index":763,"clock_position":763,"value":565},{"alpha_index":995,"clock_position":995,"value":93},{"alpha_index":1227,"clock_position":1227,"value":152}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,300,532,764,996,1228],"clock_positions":[68,300,532,764,996,1228],"native_values":[409,704,409,291,822,291],"rotation_degrees":17.586206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":409},{"alpha_index":300,"clock_position":300,"value":704},{"alpha_index":532,"clock_position":532,"value":409},{"alpha_index":764,"clock_position":764,"value":291},{"alpha_index":996,"clock_position":996,"value":822},{"alpha_index":1228,"clock_position":1228,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,301,533,765,997,1229],"clock_positions":[69,301,533,765,997,1229],"native_values":[502,443,89,30,89,443],"rotation_degrees":17.844827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":502},{"alpha_index":301,"clock_position":301,"value":443},{"alpha_index":533,"clock_position":533,"value":89},{"alpha_index":765,"clock_position":765,"value":30},{"alpha_index":997,"clock_position":997,"value":89},{"alpha_index":1229,"clock_position":1229,"value":443}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,302,534,766,998,1230],"clock_positions":[70,302,534,766,998,1230],"native_values":[85,321,498,321,85,734],"rotation_degrees":18.103448275862068,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":85},{"alpha_index":302,"clock_position":302,"value":321},{"alpha_index":534,"clock_position":534,"value":498},{"alpha_index":766,"clock_position":766,"value":321},{"alpha_index":998,"clock_position":998,"value":85},{"alpha_index":1230,"clock_position":1230,"value":734}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,303,535,767,999,1231],"clock_positions":[71,303,535,767,999,1231],"native_values":[587,764,587,351,174,351],"rotation_degrees":18.362068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":587},{"alpha_index":303,"clock_position":303,"value":764},{"alpha_index":535,"clock_position":535,"value":587},{"alpha_index":767,"clock_position":767,"value":351},{"alpha_index":999,"clock_position":999,"value":174},{"alpha_index":1231,"clock_position":1231,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,304,536,768,1000,1232],"clock_positions":[72,304,536,768,1000,1232],"native_values":[672,259,259,672,259,259],"rotation_degrees":18.620689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":672},{"alpha_index":304,"clock_position":304,"value":259},{"alpha_index":536,"clock_position":536,"value":259},{"alpha_index":768,"clock_position":768,"value":672},{"alpha_index":1000,"clock_position":1000,"value":259},{"alpha_index":1232,"clock_position":1232,"value":259}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,305,537,769,1001,1233],"clock_positions":[73,305,537,769,1001,1233],"native_values":[433,197,20,197,433,610],"rotation_degrees":18.879310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":433},{"alpha_index":305,"clock_position":305,"value":197},{"alpha_index":537,"clock_position":537,"value":20},{"alpha_index":769,"clock_position":769,"value":197},{"alpha_index":1001,"clock_position":1001,"value":433},{"alpha_index":1233,"clock_position":1233,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,306,538,770,1002,1234],"clock_positions":[74,306,538,770,1002,1234],"native_values":[279,456,279,43,692,43],"rotation_degrees":19.137931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":279},{"alpha_index":306,"clock_position":306,"value":456},{"alpha_index":538,"clock_position":538,"value":279},{"alpha_index":770,"clock_position":770,"value":43},{"alpha_index":1002,"clock_position":1002,"value":692},{"alpha_index":1234,"clock_position":1234,"value":43}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,307,539,771,1003,1235],"clock_positions":[75,307,539,771,1003,1235],"native_values":[712,653,299,240,299,653],"rotation_degrees":19.396551724137932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":712},{"alpha_index":307,"clock_position":307,"value":653},{"alpha_index":539,"clock_position":539,"value":299},{"alpha_index":771,"clock_position":771,"value":240},{"alpha_index":1003,"clock_position":1003,"value":299},{"alpha_index":1235,"clock_position":1235,"value":653}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,308,540,772,1004,1236],"clock_positions":[76,308,540,772,1004,1236],"native_values":[165,283,578,283,165,696],"rotation_degrees":19.655172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":165},{"alpha_index":308,"clock_position":308,"value":283},{"alpha_index":540,"clock_position":540,"value":578},{"alpha_index":772,"clock_position":772,"value":283},{"alpha_index":1004,"clock_position":1004,"value":165},{"alpha_index":1236,"clock_position":1236,"value":696}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,309,541,773,1005,1237],"clock_positions":[77,309,541,773,1005,1237],"native_values":[51,110,51,523,464,523],"rotation_degrees":19.913793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":51},{"alpha_index":309,"clock_position":309,"value":110},{"alpha_index":541,"clock_position":541,"value":51},{"alpha_index":773,"clock_position":773,"value":523},{"alpha_index":1005,"clock_position":1005,"value":464},{"alpha_index":1237,"clock_position":1237,"value":523}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,310,542,774,1006,1238],"clock_positions":[78,310,542,774,1006,1238],"native_values":[216,393,629,806,629,393],"rotation_degrees":20.17241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":216},{"alpha_index":310,"clock_position":310,"value":393},{"alpha_index":542,"clock_position":542,"value":629},{"alpha_index":774,"clock_position":774,"value":806},{"alpha_index":1006,"clock_position":1006,"value":629},{"alpha_index":1238,"clock_position":1238,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,311,543,775,1007,1239],"clock_positions":[79,311,543,775,1007,1239],"native_values":[267,503,680,503,267,90],"rotation_degrees":20.43103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":267},{"alpha_index":311,"clock_position":311,"value":503},{"alpha_index":543,"clock_position":543,"value":680},{"alpha_index":775,"clock_position":775,"value":503},{"alpha_index":1007,"clock_position":1007,"value":267},{"alpha_index":1239,"clock_position":1239,"value":90}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,312,544,776,1008,1240],"clock_positions":[80,312,544,776,1008,1240],"native_values":[483,70,483,483,70,483],"rotation_degrees":20.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":483},{"alpha_index":312,"clock_position":312,"value":70},{"alpha_index":544,"clock_position":544,"value":483},{"alpha_index":776,"clock_position":776,"value":483},{"alpha_index":1008,"clock_position":1008,"value":70},{"alpha_index":1240,"clock_position":1240,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,313,545,777,1009,1241],"clock_positions":[81,313,545,777,1009,1241],"native_values":[750,573,337,160,337,573],"rotation_degrees":20.948275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":750},{"alpha_index":313,"clock_position":313,"value":573},{"alpha_index":545,"clock_position":545,"value":337},{"alpha_index":777,"clock_position":777,"value":160},{"alpha_index":1009,"clock_position":1009,"value":337},{"alpha_index":1241,"clock_position":1241,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,314,546,778,1010,1242],"clock_positions":[82,314,546,778,1010,1242],"native_values":[407,643,820,643,407,230],"rotation_degrees":21.20689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":407},{"alpha_index":314,"clock_position":314,"value":643},{"alpha_index":546,"clock_position":546,"value":820},{"alpha_index":778,"clock_position":778,"value":643},{"alpha_index":1010,"clock_position":1010,"value":407},{"alpha_index":1242,"clock_position":1242,"value":230}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,315,547,779,1011,1243],"clock_positions":[83,315,547,779,1011,1243],"native_values":[331,390,331,803,744,803],"rotation_degrees":21.46551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":331},{"alpha_index":315,"clock_position":315,"value":390},{"alpha_index":547,"clock_position":547,"value":331},{"alpha_index":779,"clock_position":779,"value":803},{"alpha_index":1011,"clock_position":1011,"value":744},{"alpha_index":1243,"clock_position":1243,"value":803}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,316,548,780,1012,1244],"clock_positions":[84,316,548,780,1012,1244],"native_values":[738,207,325,620,325,207],"rotation_degrees":21.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":738},{"alpha_index":316,"clock_position":316,"value":207},{"alpha_index":548,"clock_position":548,"value":325},{"alpha_index":780,"clock_position":780,"value":620},{"alpha_index":1012,"clock_position":1012,"value":325},{"alpha_index":1244,"clock_position":1244,"value":207}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,317,549,781,1013,1245],"clock_positions":[85,317,549,781,1013,1245],"native_values":[243,597,656,597,243,184],"rotation_degrees":21.982758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":243},{"alpha_index":317,"clock_position":317,"value":597},{"alpha_index":549,"clock_position":549,"value":656},{"alpha_index":781,"clock_position":781,"value":597},{"alpha_index":1013,"clock_position":1013,"value":243},{"alpha_index":1245,"clock_position":1245,"value":184}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,318,550,782,1014,1246],"clock_positions":[86,318,550,782,1014,1246],"native_values":[155,804,155,391,568,391],"rotation_degrees":22.24137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":155},{"alpha_index":318,"clock_position":318,"value":804},{"alpha_index":550,"clock_position":550,"value":155},{"alpha_index":782,"clock_position":782,"value":391},{"alpha_index":1014,"clock_position":1014,"value":568},{"alpha_index":1246,"clock_position":1246,"value":391}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,319,551,783,1015,1247],"clock_positions":[87,319,551,783,1015,1247],"native_values":[398,575,811,162,811,575],"rotation_degrees":22.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":398},{"alpha_index":319,"clock_position":319,"value":575},{"alpha_index":551,"clock_position":551,"value":811},{"alpha_index":783,"clock_position":783,"value":162},{"alpha_index":1015,"clock_position":1015,"value":811},{"alpha_index":1247,"clock_position":1247,"value":575}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,320,552,784,1016,1248],"clock_positions":[88,320,552,784,1016,1248],"native_values":[553,553,140,553,553,140],"rotation_degrees":22.75862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":553},{"alpha_index":320,"clock_position":320,"value":553},{"alpha_index":552,"clock_position":552,"value":140},{"alpha_index":784,"clock_position":784,"value":553},{"alpha_index":1016,"clock_position":1016,"value":553},{"alpha_index":1248,"clock_position":1248,"value":140}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,321,553,785,1017,1249],"clock_positions":[89,321,553,785,1017,1249],"native_values":[125,302,125,715,538,715],"rotation_degrees":23.017241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":125},{"alpha_index":321,"clock_position":321,"value":302},{"alpha_index":553,"clock_position":553,"value":125},{"alpha_index":785,"clock_position":785,"value":715},{"alpha_index":1017,"clock_position":1017,"value":538},{"alpha_index":1249,"clock_position":1249,"value":715}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,322,554,786,1018,1250],"clock_positions":[90,322,554,786,1018,1250],"native_values":[678,29,265,442,265,29],"rotation_degrees":23.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":678},{"alpha_index":322,"clock_position":322,"value":29},{"alpha_index":554,"clock_position":554,"value":265},{"alpha_index":786,"clock_position":786,"value":442},{"alpha_index":1018,"clock_position":1018,"value":265},{"alpha_index":1250,"clock_position":1250,"value":29}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,323,555,787,1019,1251],"clock_positions":[91,323,555,787,1019,1251],"native_values":[803,331,390,331,803,744],"rotation_degrees":23.53448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":803},{"alpha_index":323,"clock_position":323,"value":331},{"alpha_index":555,"clock_position":555,"value":390},{"alpha_index":787,"clock_position":787,"value":331},{"alpha_index":1019,"clock_position":1019,"value":803},{"alpha_index":1251,"clock_position":1251,"value":744}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,324,556,788,1020,1252],"clock_positions":[92,324,556,788,1020,1252],"native_values":[655,360,655,773,242,773],"rotation_degrees":23.79310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":655},{"alpha_index":324,"clock_position":324,"value":360},{"alpha_index":556,"clock_position":556,"value":655},{"alpha_index":788,"clock_position":788,"value":773},{"alpha_index":1020,"clock_position":1020,"value":242},{"alpha_index":1252,"clock_position":1252,"value":773}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,325,557,789,1021,1253],"clock_positions":[93,325,557,789,1021,1253],"native_values":[632,691,219,278,219,691],"rotation_degrees":24.051724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":632},{"alpha_index":325,"clock_position":325,"value":691},{"alpha_index":557,"clock_position":557,"value":219},{"alpha_index":789,"clock_position":789,"value":278},{"alpha_index":1021,"clock_position":1021,"value":219},{"alpha_index":1253,"clock_position":1253,"value":691}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,326,558,790,1022,1254],"clock_positions":[94,326,558,790,1022,1254],"native_values":[461,225,48,225,461,638],"rotation_degrees":24.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":461},{"alpha_index":326,"clock_position":326,"value":225},{"alpha_index":558,"clock_position":558,"value":48},{"alpha_index":790,"clock_position":790,"value":225},{"alpha_index":1022,"clock_position":1022,"value":461},{"alpha_index":1254,"clock_position":1254,"value":638}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,327,559,791,1023,1255],"clock_positions":[95,327,559,791,1023,1255],"native_values":[267,90,267,503,680,503],"rotation_degrees":24.56896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":267},{"alpha_index":327,"clock_position":327,"value":90},{"alpha_index":559,"clock_position":559,"value":267},{"alpha_index":791,"clock_position":791,"value":503},{"alpha_index":1023,"clock_position":1023,"value":680},{"alpha_index":1255,"clock_position":1255,"value":503}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,328,560,792,1024,1256],"clock_positions":[96,328,560,792,1024,1256],"native_values":[728,315,315,728,315,315],"rotation_degrees":24.82758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":728},{"alpha_index":328,"clock_position":328,"value":315},{"alpha_index":560,"clock_position":560,"value":315},{"alpha_index":792,"clock_position":792,"value":728},{"alpha_index":1024,"clock_position":1024,"value":315},{"alpha_index":1256,"clock_position":1256,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,329,561,793,1025,1257],"clock_positions":[97,329,561,793,1025,1257],"native_values":[169,405,582,405,169,818],"rotation_degrees":25.086206896551722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":169},{"alpha_index":329,"clock_position":329,"value":405},{"alpha_index":561,"clock_position":561,"value":582},{"alpha_index":793,"clock_position":793,"value":405},{"alpha_index":1025,"clock_position":1025,"value":169},{"alpha_index":1257,"clock_position":1257,"value":818}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,330,562,794,1026,1258],"clock_positions":[98,330,562,794,1026,1258],"native_values":[71,720,71,307,484,307],"rotation_degrees":25.344827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":71},{"alpha_index":330,"clock_position":330,"value":720},{"alpha_index":562,"clock_position":562,"value":71},{"alpha_index":794,"clock_position":794,"value":307},{"alpha_index":1026,"clock_position":1026,"value":484},{"alpha_index":1258,"clock_position":1258,"value":307}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,331,563,795,1027,1259],"clock_positions":[99,331,563,795,1027,1259],"native_values":[240,299,653,712,653,299],"rotation_degrees":25.603448275862068,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":240},{"alpha_index":331,"clock_position":331,"value":299},{"alpha_index":563,"clock_position":563,"value":653},{"alpha_index":795,"clock_position":795,"value":712},{"alpha_index":1027,"clock_position":1027,"value":653},{"alpha_index":1259,"clock_position":1259,"value":299}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,332,564,796,1028,1260],"clock_positions":[100,332,564,796,1028,1260],"native_values":[311,193,724,193,311,606],"rotation_degrees":25.862068965517242,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":311},{"alpha_index":332,"clock_position":332,"value":193},{"alpha_index":564,"clock_position":564,"value":724},{"alpha_index":796,"clock_position":796,"value":193},{"alpha_index":1028,"clock_position":1028,"value":311},{"alpha_index":1260,"clock_position":1260,"value":606}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,333,565,797,1029,1261],"clock_positions":[101,333,565,797,1029,1261],"native_values":[551,492,551,79,138,79],"rotation_degrees":26.120689655172413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":551},{"alpha_index":333,"clock_position":333,"value":492},{"alpha_index":565,"clock_position":565,"value":551},{"alpha_index":797,"clock_position":797,"value":79},{"alpha_index":1029,"clock_position":1029,"value":138},{"alpha_index":1261,"clock_position":1261,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,334,566,798,1030,1262],"clock_positions":[102,334,566,798,1030,1262],"native_values":[36,685,449,272,449,685],"rotation_degrees":26.379310344827587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":36},{"alpha_index":334,"clock_position":334,"value":685},{"alpha_index":566,"clock_position":566,"value":449},{"alpha_index":798,"clock_position":798,"value":272},{"alpha_index":1030,"clock_position":1030,"value":449},{"alpha_index":1262,"clock_position":1262,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,335,567,799,1031,1263],"clock_positions":[103,335,567,799,1031,1263],"native_values":[587,351,174,351,587,764],"rotation_degrees":26.637931034482758,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":587},{"alpha_index":335,"clock_position":335,"value":351},{"alpha_index":567,"clock_position":567,"value":174},{"alpha_index":799,"clock_position":799,"value":351},{"alpha_index":1031,"clock_position":1031,"value":587},{"alpha_index":1263,"clock_position":1263,"value":764}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,336,568,800,1032,1264],"clock_positions":[104,336,568,800,1032,1264],"native_values":[623,210,623,623,210,623],"rotation_degrees":26.896551724137932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":623},{"alpha_index":336,"clock_position":336,"value":210},{"alpha_index":568,"clock_position":568,"value":623},{"alpha_index":800,"clock_position":800,"value":623},{"alpha_index":1032,"clock_position":1032,"value":210},{"alpha_index":1264,"clock_position":1264,"value":623}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,337,569,801,1033,1265],"clock_positions":[105,337,569,801,1033,1265],"native_values":[384,561,797,148,797,561],"rotation_degrees":27.155172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":384},{"alpha_index":337,"clock_position":337,"value":561},{"alpha_index":569,"clock_position":569,"value":797},{"alpha_index":801,"clock_position":801,"value":148},{"alpha_index":1033,"clock_position":1033,"value":797},{"alpha_index":1265,"clock_position":1265,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,338,570,802,1034,1266],"clock_positions":[106,338,570,802,1034,1266],"native_values":[181,771,594,771,181,358],"rotation_degrees":27.413793103448278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":181},{"alpha_index":338,"clock_position":338,"value":771},{"alpha_index":570,"clock_position":570,"value":594},{"alpha_index":802,"clock_position":802,"value":771},{"alpha_index":1034,"clock_position":1034,"value":181},{"alpha_index":1266,"clock_position":1266,"value":358}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,339,571,803,1035,1267],"clock_positions":[107,339,571,803,1035,1267],"native_values":[565,506,565,93,152,93],"rotation_degrees":27.67241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":565},{"alpha_index":339,"clock_position":339,"value":506},{"alpha_index":571,"clock_position":571,"value":565},{"alpha_index":803,"clock_position":803,"value":93},{"alpha_index":1035,"clock_position":1035,"value":152},{"alpha_index":1267,"clock_position":1267,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,340,572,804,1036,1268],"clock_positions":[108,340,572,804,1036,1268],"native_values":[746,451,333,38,333,451],"rotation_degrees":27.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":746},{"alpha_index":340,"clock_position":340,"value":451},{"alpha_index":572,"clock_position":572,"value":333},{"alpha_index":804,"clock_position":804,"value":38},{"alpha_index":1036,"clock_position":1036,"value":333},{"alpha_index":1268,"clock_position":1268,"value":451}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,341,573,805,1037,1269],"clock_positions":[109,341,573,805,1037,1269],"native_values":[485,131,72,131,485,544],"rotation_degrees":28.189655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":485},{"alpha_index":341,"clock_position":341,"value":131},{"alpha_index":573,"clock_position":573,"value":72},{"alpha_index":805,"clock_position":805,"value":131},{"alpha_index":1037,"clock_position":1037,"value":485},{"alpha_index":1269,"clock_position":1269,"value":544}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,342,574,806,1038,1270],"clock_positions":[110,342,574,806,1038,1270],"native_values":[405,582,405,169,818,169],"rotation_degrees":28.448275862068964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":405},{"alpha_index":342,"clock_position":342,"value":582},{"alpha_index":574,"clock_position":574,"value":405},{"alpha_index":806,"clock_position":806,"value":169},{"alpha_index":1038,"clock_position":1038,"value":818},{"alpha_index":1270,"clock_position":1270,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,343,575,807,1039,1271],"clock_positions":[111,343,575,807,1039,1271],"native_values":[64,713,477,300,477,713],"rotation_degrees":28.70689655172414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":64},{"alpha_index":343,"clock_position":343,"value":713},{"alpha_index":575,"clock_position":575,"value":477},{"alpha_index":807,"clock_position":807,"value":300},{"alpha_index":1039,"clock_position":1039,"value":477},{"alpha_index":1271,"clock_position":1271,"value":713}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,344,576,808,1040,1272],"clock_positions":[112,344,576,808,1040,1272],"native_values":[469,469,56,469,469,56],"rotation_degrees":28.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":469},{"alpha_index":344,"clock_position":344,"value":469},{"alpha_index":576,"clock_position":576,"value":56},{"alpha_index":808,"clock_position":808,"value":469},{"alpha_index":1040,"clock_position":1040,"value":469},{"alpha_index":1272,"clock_position":1272,"value":56}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,345,577,809,1041,1273],"clock_positions":[113,345,577,809,1041,1273],"native_values":[533,356,533,769,120,769],"rotation_degrees":29.224137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":533},{"alpha_index":345,"clock_position":345,"value":356},{"alpha_index":577,"clock_position":577,"value":533},{"alpha_index":809,"clock_position":809,"value":769},{"alpha_index":1041,"clock_position":1041,"value":120},{"alpha_index":1273,"clock_position":1273,"value":769}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,346,578,810,1042,1274],"clock_positions":[114,346,578,810,1042,1274],"native_values":[176,825,589,412,589,825],"rotation_degrees":29.482758620689655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":176},{"alpha_index":346,"clock_position":346,"value":825},{"alpha_index":578,"clock_position":578,"value":589},{"alpha_index":810,"clock_position":810,"value":412},{"alpha_index":1042,"clock_position":1042,"value":589},{"alpha_index":1274,"clock_position":1274,"value":825}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,347,579,811,1043,1275],"clock_positions":[115,347,579,811,1043,1275],"native_values":[709,355,296,355,709,768],"rotation_degrees":29.74137931034483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":709},{"alpha_index":347,"clock_position":347,"value":355},{"alpha_index":579,"clock_position":579,"value":296},{"alpha_index":811,"clock_position":811,"value":355},{"alpha_index":1043,"clock_position":1043,"value":709},{"alpha_index":1275,"clock_position":1275,"value":768}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,348,580,812,1044,1276],"clock_positions":[116,348,580,812,1044,1276],"native_values":[59,354,59,767,472,767],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":59},{"alpha_index":348,"clock_position":348,"value":354},{"alpha_index":580,"clock_position":580,"value":59},{"alpha_index":812,"clock_position":812,"value":767},{"alpha_index":1044,"clock_position":1044,"value":472},{"alpha_index":1276,"clock_position":1276,"value":767}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,349,581,813,1045,1277],"clock_positions":[117,349,581,813,1045,1277],"native_values":[768,709,355,296,355,709],"rotation_degrees":30.25862068965517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":768},{"alpha_index":349,"clock_position":349,"value":709},{"alpha_index":581,"clock_position":581,"value":355},{"alpha_index":813,"clock_position":813,"value":296},{"alpha_index":1045,"clock_position":1045,"value":355},{"alpha_index":1277,"clock_position":1277,"value":709}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,350,582,814,1046,1278],"clock_positions":[118,350,582,814,1046,1278],"native_values":[1,237,414,237,1,650],"rotation_degrees":30.517241379310345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":1},{"alpha_index":350,"clock_position":350,"value":237},{"alpha_index":582,"clock_position":582,"value":414},{"alpha_index":814,"clock_position":814,"value":237},{"alpha_index":1046,"clock_position":1046,"value":1},{"alpha_index":1278,"clock_position":1278,"value":650}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,351,583,815,1047,1279],"clock_positions":[119,351,583,815,1047,1279],"native_values":[769,120,769,533,356,533],"rotation_degrees":30.775862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":769},{"alpha_index":351,"clock_position":351,"value":120},{"alpha_index":583,"clock_position":583,"value":769},{"alpha_index":815,"clock_position":815,"value":533},{"alpha_index":1047,"clock_position":1047,"value":356},{"alpha_index":1279,"clock_position":1279,"value":533}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,352,584,816,1048,1280],"clock_positions":[120,352,584,816,1048,1280],"native_values":[770,357,357,770,357,357],"rotation_degrees":31.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":770},{"alpha_index":352,"clock_position":352,"value":357},{"alpha_index":584,"clock_position":584,"value":357},{"alpha_index":816,"clock_position":816,"value":770},{"alpha_index":1048,"clock_position":1048,"value":357},{"alpha_index":1280,"clock_position":1280,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,353,585,817,1049,1281],"clock_positions":[121,353,585,817,1049,1281],"native_values":[713,477,300,477,713,64],"rotation_degrees":31.29310344827586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":713},{"alpha_index":353,"clock_position":353,"value":477},{"alpha_index":585,"clock_position":585,"value":300},{"alpha_index":817,"clock_position":817,"value":477},{"alpha_index":1049,"clock_position":1049,"value":713},{"alpha_index":1281,"clock_position":1281,"value":64}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,354,586,818,1050,1282],"clock_positions":[122,354,586,818,1050,1282],"native_values":[657,8,657,421,244,421],"rotation_degrees":31.551724137931036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":657},{"alpha_index":354,"clock_position":354,"value":8},{"alpha_index":586,"clock_position":586,"value":657},{"alpha_index":818,"clock_position":818,"value":421},{"alpha_index":1050,"clock_position":1050,"value":244},{"alpha_index":1282,"clock_position":1282,"value":421}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,355,587,819,1051,1283],"clock_positions":[123,355,587,819,1051,1283],"native_values":[544,485,131,72,131,485],"rotation_degrees":31.810344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":544},{"alpha_index":355,"clock_position":355,"value":485},{"alpha_index":587,"clock_position":587,"value":131},{"alpha_index":819,"clock_position":819,"value":72},{"alpha_index":1051,"clock_position":1051,"value":131},{"alpha_index":1283,"clock_position":1283,"value":485}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,356,588,820,1052,1284],"clock_positions":[124,356,588,820,1052,1284],"native_values":[375,493,788,493,375,80],"rotation_degrees":32.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":375},{"alpha_index":356,"clock_position":356,"value":493},{"alpha_index":588,"clock_position":588,"value":788},{"alpha_index":820,"clock_position":820,"value":493},{"alpha_index":1052,"clock_position":1052,"value":375},{"alpha_index":1284,"clock_position":1284,"value":80}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,357,589,821,1053,1285],"clock_positions":[125,357,589,821,1053,1285],"native_values":[93,152,93,565,506,565],"rotation_degrees":32.327586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":93},{"alpha_index":357,"clock_position":357,"value":152},{"alpha_index":589,"clock_position":589,"value":93},{"alpha_index":821,"clock_position":821,"value":565},{"alpha_index":1053,"clock_position":1053,"value":506},{"alpha_index":1285,"clock_position":1285,"value":565}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,358,590,822,1054,1286],"clock_positions":[126,358,590,822,1054,1286],"native_values":[468,645,55,232,55,645],"rotation_degrees":32.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":468},{"alpha_index":358,"clock_position":358,"value":645},{"alpha_index":590,"clock_position":590,"value":55},{"alpha_index":822,"clock_position":822,"value":232},{"alpha_index":1054,"clock_position":1054,"value":55},{"alpha_index":1286,"clock_position":1286,"value":645}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,359,591,823,1055,1287],"clock_positions":[127,359,591,823,1055,1287],"native_values":[561,797,148,797,561,384],"rotation_degrees":32.8448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":561},{"alpha_index":359,"clock_position":359,"value":797},{"alpha_index":591,"clock_position":591,"value":148},{"alpha_index":823,"clock_position":823,"value":797},{"alpha_index":1055,"clock_position":1055,"value":561},{"alpha_index":1287,"clock_position":1287,"value":384}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,360,592,824,1056,1288],"clock_positions":[128,360,592,824,1056,1288],"native_values":[203,616,203,203,616,203],"rotation_degrees":33.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":203},{"alpha_index":360,"clock_position":360,"value":616},{"alpha_index":592,"clock_position":592,"value":203},{"alpha_index":824,"clock_position":824,"value":203},{"alpha_index":1056,"clock_position":1056,"value":616},{"alpha_index":1288,"clock_position":1288,"value":203}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,361,593,825,1057,1289],"clock_positions":[129,361,593,825,1057,1289],"native_values":[764,587,351,174,351,587],"rotation_degrees":33.36206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":764},{"alpha_index":361,"clock_position":361,"value":587},{"alpha_index":593,"clock_position":593,"value":351},{"alpha_index":825,"clock_position":825,"value":174},{"alpha_index":1057,"clock_position":1057,"value":351},{"alpha_index":1289,"clock_position":1289,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,362,594,826,1058,1290],"clock_positions":[130,362,594,826,1058,1290],"native_values":[141,377,554,377,141,790],"rotation_degrees":33.62068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":141},{"alpha_index":362,"clock_position":362,"value":377},{"alpha_index":594,"clock_position":594,"value":554},{"alpha_index":826,"clock_position":826,"value":377},{"alpha_index":1058,"clock_position":1058,"value":141},{"alpha_index":1290,"clock_position":1290,"value":790}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,363,595,827,1059,1291],"clock_positions":[131,363,595,827,1059,1291],"native_values":[79,138,79,551,492,551],"rotation_degrees":33.87931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":79},{"alpha_index":363,"clock_position":363,"value":138},{"alpha_index":595,"clock_position":595,"value":79},{"alpha_index":827,"clock_position":827,"value":551},{"alpha_index":1059,"clock_position":1059,"value":492},{"alpha_index":1291,"clock_position":1291,"value":551}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,364,596,828,1060,1292],"clock_positions":[132,364,596,828,1060,1292],"native_values":[220,515,633,102,633,515],"rotation_degrees":34.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":220},{"alpha_index":364,"clock_position":364,"value":515},{"alpha_index":596,"clock_position":596,"value":633},{"alpha_index":828,"clock_position":828,"value":102},{"alpha_index":1060,"clock_position":1060,"value":633},{"alpha_index":1292,"clock_position":1292,"value":515}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,365,597,829,1061,1293],"clock_positions":[133,365,597,829,1061,1293],"native_values":[299,653,712,653,299,240],"rotation_degrees":34.39655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":299},{"alpha_index":365,"clock_position":365,"value":653},{"alpha_index":597,"clock_position":597,"value":712},{"alpha_index":829,"clock_position":829,"value":653},{"alpha_index":1061,"clock_position":1061,"value":299},{"alpha_index":1293,"clock_position":1293,"value":240}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,366,598,830,1062,1294],"clock_positions":[134,366,598,830,1062,1294],"native_values":[519,342,519,755,106,755],"rotation_degrees":34.6551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":519},{"alpha_index":366,"clock_position":366,"value":342},{"alpha_index":598,"clock_position":598,"value":519},{"alpha_index":830,"clock_position":830,"value":755},{"alpha_index":1062,"clock_position":1062,"value":106},{"alpha_index":1294,"clock_position":1294,"value":755}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,367,599,831,1063,1295],"clock_positions":[135,367,599,831,1063,1295],"native_values":[818,169,405,582,405,169],"rotation_degrees":34.91379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":818},{"alpha_index":367,"clock_position":367,"value":169},{"alpha_index":599,"clock_position":599,"value":405},{"alpha_index":831,"clock_position":831,"value":582},{"alpha_index":1063,"clock_position":1063,"value":405},{"alpha_index":1295,"clock_position":1295,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,368,600,832,1064,1296],"clock_positions":[136,368,600,832,1064,1296],"native_values":[511,511,98,511,511,98],"rotation_degrees":35.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":511},{"alpha_index":368,"clock_position":368,"value":511},{"alpha_index":600,"clock_position":600,"value":98},{"alpha_index":832,"clock_position":832,"value":511},{"alpha_index":1064,"clock_position":1064,"value":511},{"alpha_index":1296,"clock_position":1296,"value":98}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,369,601,833,1065,1297],"clock_positions":[137,369,601,833,1065,1297],"native_values":[503,680,503,267,90,267],"rotation_degrees":35.43103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":503},{"alpha_index":369,"clock_position":369,"value":680},{"alpha_index":601,"clock_position":601,"value":503},{"alpha_index":833,"clock_position":833,"value":267},{"alpha_index":1065,"clock_position":1065,"value":90},{"alpha_index":1297,"clock_position":1297,"value":267}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,370,602,834,1066,1298],"clock_positions":[138,370,602,834,1066,1298],"native_values":[188,365,601,778,601,365],"rotation_degrees":35.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":188},{"alpha_index":370,"clock_position":370,"value":365},{"alpha_index":602,"clock_position":602,"value":601},{"alpha_index":834,"clock_position":834,"value":778},{"alpha_index":1066,"clock_position":1066,"value":601},{"alpha_index":1298,"clock_position":1298,"value":365}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,371,603,835,1067,1299],"clock_positions":[139,371,603,835,1067,1299],"native_values":[691,219,278,219,691,632],"rotation_degrees":35.94827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":691},{"alpha_index":371,"clock_position":371,"value":219},{"alpha_index":603,"clock_position":603,"value":278},{"alpha_index":835,"clock_position":835,"value":219},{"alpha_index":1067,"clock_position":1067,"value":691},{"alpha_index":1299,"clock_position":1299,"value":632}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,372,604,836,1068,1300],"clock_positions":[140,372,604,836,1068,1300],"native_values":[53,584,53,171,466,171],"rotation_degrees":36.206896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":53},{"alpha_index":372,"clock_position":372,"value":584},{"alpha_index":604,"clock_position":604,"value":53},{"alpha_index":836,"clock_position":836,"value":171},{"alpha_index":1068,"clock_position":1068,"value":466},{"alpha_index":1300,"clock_position":1300,"value":171}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,373,605,837,1069,1301],"clock_positions":[141,373,605,837,1069,1301],"native_values":[744,803,331,390,331,803],"rotation_degrees":36.46551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":744},{"alpha_index":373,"clock_position":373,"value":803},{"alpha_index":605,"clock_position":605,"value":331},{"alpha_index":837,"clock_position":837,"value":390},{"alpha_index":1069,"clock_position":1069,"value":331},{"alpha_index":1301,"clock_position":1301,"value":803}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,374,606,838,1070,1302],"clock_positions":[142,374,606,838,1070,1302],"native_values":[797,561,384,561,797,148],"rotation_degrees":36.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":797},{"alpha_index":374,"clock_position":374,"value":561},{"alpha_index":606,"clock_position":606,"value":384},{"alpha_index":838,"clock_position":838,"value":561},{"alpha_index":1070,"clock_position":1070,"value":797},{"alpha_index":1302,"clock_position":1302,"value":148}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,375,607,839,1071,1303],"clock_positions":[143,375,607,839,1071,1303],"native_values":[715,538,715,125,302,125],"rotation_degrees":36.98275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":715},{"alpha_index":375,"clock_position":375,"value":538},{"alpha_index":607,"clock_position":607,"value":715},{"alpha_index":839,"clock_position":839,"value":125},{"alpha_index":1071,"clock_position":1071,"value":302},{"alpha_index":1303,"clock_position":1303,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,376,608,840,1072,1304],"clock_positions":[144,376,608,840,1072,1304],"native_values":[686,273,273,686,273,273],"rotation_degrees":37.241379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":686},{"alpha_index":376,"clock_position":376,"value":273},{"alpha_index":608,"clock_position":608,"value":273},{"alpha_index":840,"clock_position":840,"value":686},{"alpha_index":1072,"clock_position":1072,"value":273},{"alpha_index":1304,"clock_position":1304,"value":273}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,377,609,841,1073,1305],"clock_positions":[145,377,609,841,1073,1305],"native_values":[575,811,162,811,575,398],"rotation_degrees":37.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":575},{"alpha_index":377,"clock_position":377,"value":811},{"alpha_index":609,"clock_position":609,"value":162},{"alpha_index":841,"clock_position":841,"value":811},{"alpha_index":1073,"clock_position":1073,"value":575},{"alpha_index":1305,"clock_position":1305,"value":398}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,378,610,842,1074,1306],"clock_positions":[146,378,610,842,1074,1306],"native_values":[435,258,435,671,22,671],"rotation_degrees":37.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":435},{"alpha_index":378,"clock_position":378,"value":258},{"alpha_index":610,"clock_position":610,"value":435},{"alpha_index":842,"clock_position":842,"value":671},{"alpha_index":1074,"clock_position":1074,"value":22},{"alpha_index":1306,"clock_position":1306,"value":671}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,379,611,843,1075,1307],"clock_positions":[147,379,611,843,1075,1307],"native_values":[184,243,597,656,597,243],"rotation_degrees":38.01724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":184},{"alpha_index":379,"clock_position":379,"value":243},{"alpha_index":611,"clock_position":611,"value":597},{"alpha_index":843,"clock_position":843,"value":656},{"alpha_index":1075,"clock_position":1075,"value":597},{"alpha_index":1307,"clock_position":1307,"value":243}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,380,612,844,1076,1308],"clock_positions":[148,380,612,844,1076,1308],"native_values":[619,501,206,501,619,88],"rotation_degrees":38.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":619},{"alpha_index":380,"clock_position":380,"value":501},{"alpha_index":612,"clock_position":612,"value":206},{"alpha_index":844,"clock_position":844,"value":501},{"alpha_index":1076,"clock_position":1076,"value":619},{"alpha_index":1308,"clock_position":1308,"value":88}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,381,613,845,1077,1309],"clock_positions":[149,381,613,845,1077,1309],"native_values":[803,744,803,331,390,331],"rotation_degrees":38.53448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":803},{"alpha_index":381,"clock_position":381,"value":744},{"alpha_index":613,"clock_position":613,"value":803},{"alpha_index":845,"clock_position":845,"value":331},{"alpha_index":1077,"clock_position":1077,"value":390},{"alpha_index":1309,"clock_position":1309,"value":331}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,382,614,846,1078,1310],"clock_positions":[150,382,614,846,1078,1310],"native_values":[596,419,183,6,183,419],"rotation_degrees":38.793103448275865,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":596},{"alpha_index":382,"clock_position":382,"value":419},{"alpha_index":614,"clock_position":614,"value":183},{"alpha_index":1078,"clock_position":1078,"value":183},{"alpha_index":1310,"clock_position":1310,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,383,615,847,1079,1311],"clock_positions":[151,383,615,847,1079,1311],"native_values":[573,337,160,337,573,750],"rotation_degrees":39.05172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":573},{"alpha_index":383,"clock_position":383,"value":337},{"alpha_index":615,"clock_position":615,"value":160},{"alpha_index":847,"clock_position":847,"value":337},{"alpha_index":1079,"clock_position":1079,"value":573},{"alpha_index":1311,"clock_position":1311,"value":750}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,384,616,848,1080,1312],"clock_positions":[152,384,616,848,1080,1312],"native_values":[343,756,343,343,756,343],"rotation_degrees":39.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":343},{"alpha_index":384,"clock_position":384,"value":756},{"alpha_index":616,"clock_position":616,"value":343},{"alpha_index":848,"clock_position":848,"value":343},{"alpha_index":1080,"clock_position":1080,"value":756},{"alpha_index":1312,"clock_position":1312,"value":343}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,385,617,849,1081,1313],"clock_positions":[153,385,617,849,1081,1313],"native_values":[90,267,503,680,503,267],"rotation_degrees":39.56896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":90},{"alpha_index":385,"clock_position":385,"value":267},{"alpha_index":617,"clock_position":617,"value":503},{"alpha_index":849,"clock_position":849,"value":680},{"alpha_index":1081,"clock_position":1081,"value":503},{"alpha_index":1313,"clock_position":1313,"value":267}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,386,618,850,1082,1314],"clock_positions":[154,386,618,850,1082,1314],"native_values":[433,197,20,197,433,610],"rotation_degrees":39.827586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":433},{"alpha_index":386,"clock_position":386,"value":197},{"alpha_index":618,"clock_position":618,"value":20},{"alpha_index":850,"clock_position":850,"value":197},{"alpha_index":1082,"clock_position":1082,"value":433},{"alpha_index":1314,"clock_position":1314,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,387,619,851,1083,1315],"clock_positions":[155,387,619,851,1083,1315],"native_values":[523,464,523,51,110,51],"rotation_degrees":40.08620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":523},{"alpha_index":387,"clock_position":387,"value":464},{"alpha_index":619,"clock_position":619,"value":523},{"alpha_index":851,"clock_position":851,"value":51},{"alpha_index":1083,"clock_position":1083,"value":110},{"alpha_index":1315,"clock_position":1315,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,388,620,852,1084,1316],"clock_positions":[156,388,620,852,1084,1316],"native_values":[130,661,543,248,543,661],"rotation_degrees":40.3448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":130},{"alpha_index":388,"clock_position":388,"value":661},{"alpha_index":620,"clock_position":620,"value":543},{"alpha_index":852,"clock_position":852,"value":248},{"alpha_index":1084,"clock_position":1084,"value":543},{"alpha_index":1316,"clock_position":1316,"value":661}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,389,621,853,1085,1317],"clock_positions":[157,389,621,853,1085,1317],"native_values":[653,299,240,299,653,712],"rotation_degrees":40.60344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":653},{"alpha_index":389,"clock_position":389,"value":299},{"alpha_index":621,"clock_position":621,"value":240},{"alpha_index":853,"clock_position":853,"value":299},{"alpha_index":1085,"clock_position":1085,"value":653},{"alpha_index":1317,"clock_position":1317,"value":712}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,390,622,854,1086,1318],"clock_positions":[158,390,622,854,1086,1318],"native_values":[783,134,783,547,370,547],"rotation_degrees":40.86206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":783},{"alpha_index":390,"clock_position":390,"value":134},{"alpha_index":622,"clock_position":622,"value":783},{"alpha_index":854,"clock_position":854,"value":547},{"alpha_index":1086,"clock_position":1086,"value":370},{"alpha_index":1318,"clock_position":1318,"value":547}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,391,623,855,1087,1319],"clock_positions":[159,391,623,855,1087,1319],"native_values":[610,433,197,20,197,433],"rotation_degrees":41.12068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":610},{"alpha_index":391,"clock_position":391,"value":433},{"alpha_index":623,"clock_position":623,"value":197},{"alpha_index":855,"clock_position":855,"value":20},{"alpha_index":1087,"clock_position":1087,"value":197},{"alpha_index":1319,"clock_position":1319,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,392,624,856,1088,1320],"clock_positions":[160,392,624,856,1088,1320],"native_values":[567,567,154,567,567,154],"rotation_degrees":41.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":567},{"alpha_index":392,"clock_position":392,"value":567},{"alpha_index":624,"clock_position":624,"value":154},{"alpha_index":856,"clock_position":856,"value":567},{"alpha_index":1088,"clock_position":1088,"value":567},{"alpha_index":1320,"clock_position":1320,"value":154}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,393,625,857,1089,1321],"clock_positions":[161,393,625,857,1089,1321],"native_values":[351,174,351,587,764,587],"rotation_degrees":41.63793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":351},{"alpha_index":393,"clock_position":393,"value":174},{"alpha_index":625,"clock_position":625,"value":351},{"alpha_index":857,"clock_position":857,"value":587},{"alpha_index":1089,"clock_position":1089,"value":764},{"alpha_index":1321,"clock_position":1321,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,394,626,858,1090,1322],"clock_positions":[162,394,626,858,1090,1322],"native_values":[92,741,505,328,505,741],"rotation_degrees":41.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":92},{"alpha_index":394,"clock_position":394,"value":741},{"alpha_index":626,"clock_position":626,"value":505},{"alpha_index":858,"clock_position":858,"value":328},{"alpha_index":1090,"clock_position":1090,"value":505},{"alpha_index":1322,"clock_position":1322,"value":741}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,395,627,859,1091,1323],"clock_positions":[163,395,627,859,1091,1323],"native_values":[443,89,30,89,443,502],"rotation_degrees":42.1551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":443},{"alpha_index":395,"clock_position":395,"value":89},{"alpha_index":627,"clock_position":627,"value":30},{"alpha_index":859,"clock_position":859,"value":89},{"alpha_index":1091,"clock_position":1091,"value":443},{"alpha_index":1323,"clock_position":1323,"value":502}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,396,628,860,1092,1324],"clock_positions":[164,396,628,860,1092,1324],"native_values":[535,4,535,417,122,417],"rotation_degrees":42.41379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":535},{"alpha_index":396,"clock_position":396,"value":4},{"alpha_index":628,"clock_position":628,"value":535},{"alpha_index":860,"clock_position":860,"value":417},{"alpha_index":1092,"clock_position":1092,"value":122},{"alpha_index":1324,"clock_position":1324,"value":417}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,397,629,861,1093,1325],"clock_positions":[165,397,629,861,1093,1325],"native_values":[152,93,565,506,565,93],"rotation_degrees":42.672413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":152},{"alpha_index":397,"clock_position":397,"value":93},{"alpha_index":629,"clock_position":629,"value":565},{"alpha_index":861,"clock_position":861,"value":506},{"alpha_index":1093,"clock_position":1093,"value":565},{"alpha_index":1325,"clock_position":1325,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,398,630,862,1094,1326],"clock_positions":[166,398,630,862,1094,1326],"native_values":[687,97,274,97,687,510],"rotation_degrees":42.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":687},{"alpha_index":398,"clock_position":398,"value":97},{"alpha_index":630,"clock_position":630,"value":274},{"alpha_index":862,"clock_position":862,"value":97},{"alpha_index":1094,"clock_position":1094,"value":687},{"alpha_index":1326,"clock_position":1326,"value":510}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,399,631,863,1095,1327],"clock_positions":[167,399,631,863,1095,1327],"native_values":[13,190,13,603,426,603],"rotation_degrees":43.189655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":13},{"alpha_index":399,"clock_position":399,"value":190},{"alpha_index":631,"clock_position":631,"value":13},{"alpha_index":863,"clock_position":863,"value":603},{"alpha_index":1095,"clock_position":1095,"value":426},{"alpha_index":1327,"clock_position":1327,"value":603}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,400,632,864,1096,1328],"clock_positions":[168,400,632,864,1096,1328],"native_values":[700,287,287,700,287,287],"rotation_degrees":43.44827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":700},{"alpha_index":400,"clock_position":400,"value":287},{"alpha_index":632,"clock_position":632,"value":287},{"alpha_index":864,"clock_position":864,"value":700},{"alpha_index":1096,"clock_position":1096,"value":287},{"alpha_index":1328,"clock_position":1328,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,401,633,865,1097,1329],"clock_positions":[169,401,633,865,1097,1329],"native_values":[713,477,300,477,713,64],"rotation_degrees":43.706896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":713},{"alpha_index":401,"clock_position":401,"value":477},{"alpha_index":633,"clock_position":633,"value":300},{"alpha_index":865,"clock_position":865,"value":477},{"alpha_index":1097,"clock_position":1097,"value":713},{"alpha_index":1329,"clock_position":1329,"value":64}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,402,634,866,1098,1330],"clock_positions":[170,402,634,866,1098,1330],"native_values":[587,764,587,351,174,351],"rotation_degrees":43.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":587},{"alpha_index":402,"clock_position":402,"value":764},{"alpha_index":634,"clock_position":634,"value":587},{"alpha_index":866,"clock_position":866,"value":351},{"alpha_index":1098,"clock_position":1098,"value":174},{"alpha_index":1330,"clock_position":1330,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,403,635,867,1099,1331],"clock_positions":[171,403,635,867,1099,1331],"native_values":[474,415,61,2,61,415],"rotation_degrees":44.224137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":474},{"alpha_index":403,"clock_position":403,"value":415},{"alpha_index":635,"clock_position":635,"value":61},{"alpha_index":867,"clock_position":867,"value":2},{"alpha_index":1099,"clock_position":1099,"value":61},{"alpha_index":1331,"clock_position":1331,"value":415}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,404,636,868,1100,1332],"clock_positions":[172,404,636,868,1100,1332],"native_values":[235,353,648,353,235,766],"rotation_degrees":44.48275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":235},{"alpha_index":404,"clock_position":404,"value":353},{"alpha_index":636,"clock_position":636,"value":648},{"alpha_index":868,"clock_position":868,"value":353},{"alpha_index":1100,"clock_position":1100,"value":235},{"alpha_index":1332,"clock_position":1332,"value":766}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,405,637,869,1101,1333],"clock_positions":[173,405,637,869,1101,1333],"native_values":[709,768,709,355,296,355],"rotation_degrees":44.741379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":709},{"alpha_index":405,"clock_position":405,"value":768},{"alpha_index":637,"clock_position":637,"value":709},{"alpha_index":869,"clock_position":869,"value":355},{"alpha_index":1101,"clock_position":1101,"value":296},{"alpha_index":1333,"clock_position":1333,"value":355}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,406,638,870,1102,1334],"clock_positions":[174,406,638,870,1102,1334],"native_values":[118,295,531,708,531,295],"rotation_degrees":45.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":118},{"alpha_index":406,"clock_position":406,"value":295},{"alpha_index":638,"clock_position":638,"value":531},{"alpha_index":870,"clock_position":870,"value":708},{"alpha_index":1102,"clock_position":1102,"value":531},{"alpha_index":1334,"clock_position":1334,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,407,639,871,1103,1335],"clock_positions":[175,407,639,871,1103,1335],"native_values":[1,237,414,237,1,650],"rotation_degrees":45.258620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":1},{"alpha_index":407,"clock_position":407,"value":237},{"alpha_index":639,"clock_position":639,"value":414},{"alpha_index":871,"clock_position":871,"value":237},{"alpha_index":1103,"clock_position":1103,"value":1},{"alpha_index":1335,"clock_position":1335,"value":650}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,408,640,872,1104,1336],"clock_positions":[176,408,640,872,1104,1336],"native_values":[119,532,119,119,532,119],"rotation_degrees":45.51724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":119},{"alpha_index":408,"clock_position":408,"value":532},{"alpha_index":640,"clock_position":640,"value":119},{"alpha_index":872,"clock_position":872,"value":119},{"alpha_index":1104,"clock_position":1104,"value":532},{"alpha_index":1336,"clock_position":1336,"value":119}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,409,641,873,1105,1337],"clock_positions":[177,409,641,873,1105,1337],"native_values":[120,769,533,356,533,769],"rotation_degrees":45.775862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":120},{"alpha_index":409,"clock_position":409,"value":769},{"alpha_index":641,"clock_position":641,"value":533},{"alpha_index":873,"clock_position":873,"value":356},{"alpha_index":1105,"clock_position":1105,"value":533},{"alpha_index":1337,"clock_position":1337,"value":769}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,410,642,874,1106,1338],"clock_positions":[178,410,642,874,1106,1338],"native_values":[239,475,652,475,239,62],"rotation_degrees":46.03448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":239},{"alpha_index":410,"clock_position":410,"value":475},{"alpha_index":642,"clock_position":642,"value":652},{"alpha_index":874,"clock_position":874,"value":475},{"alpha_index":1106,"clock_position":1106,"value":239},{"alpha_index":1338,"clock_position":1338,"value":62}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,411,643,875,1107,1339],"clock_positions":[179,411,643,875,1107,1339],"native_values":[359,418,359,5,772,5],"rotation_degrees":46.293103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":359},{"alpha_index":411,"clock_position":411,"value":418},{"alpha_index":643,"clock_position":643,"value":359},{"alpha_index":875,"clock_position":875,"value":5},{"alpha_index":1107,"clock_position":1107,"value":772},{"alpha_index":1339,"clock_position":1339,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,412,644,876,1108,1340],"clock_positions":[180,412,644,876,1108,1340],"native_values":[598,67,185,480,185,67],"rotation_degrees":46.55172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":598},{"alpha_index":412,"clock_position":412,"value":67},{"alpha_index":644,"clock_position":644,"value":185},{"alpha_index":876,"clock_position":876,"value":480},{"alpha_index":1108,"clock_position":1108,"value":185},{"alpha_index":1340,"clock_position":1340,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,413,645,877,1109,1341],"clock_positions":[181,413,645,877,1109,1341],"native_values":[131,485,544,485,131,72],"rotation_degrees":46.810344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":131},{"alpha_index":413,"clock_position":413,"value":485},{"alpha_index":645,"clock_position":645,"value":544},{"alpha_index":877,"clock_position":877,"value":485},{"alpha_index":1109,"clock_position":1109,"value":131},{"alpha_index":1341,"clock_position":1341,"value":72}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,414,646,878,1110,1342],"clock_positions":[182,414,646,878,1110,1342],"native_values":[729,552,729,139,316,139],"rotation_degrees":47.06896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":729},{"alpha_index":414,"clock_position":414,"value":552},{"alpha_index":646,"clock_position":646,"value":729},{"alpha_index":878,"clock_position":878,"value":139},{"alpha_index":1110,"clock_position":1110,"value":316},{"alpha_index":1342,"clock_position":1342,"value":139}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,415,647,879,1111,1343],"clock_positions":[183,415,647,879,1111,1343],"native_values":[34,211,447,624,447,211],"rotation_degrees":47.327586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":34},{"alpha_index":415,"clock_position":415,"value":211},{"alpha_index":647,"clock_position":647,"value":447},{"alpha_index":879,"clock_position":879,"value":624},{"alpha_index":1111,"clock_position":1111,"value":447},{"alpha_index":1343,"clock_position":1343,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,416,648,880,1112,1344],"clock_positions":[184,416,648,880,1112,1344],"native_values":[763,763,350,763,763,350],"rotation_degrees":47.58620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":763},{"alpha_index":416,"clock_position":416,"value":763},{"alpha_index":648,"clock_position":648,"value":350},{"alpha_index":880,"clock_position":880,"value":763},{"alpha_index":1112,"clock_position":1112,"value":763},{"alpha_index":1344,"clock_position":1344,"value":350}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,417,649,881,1113,1345],"clock_positions":[185,417,649,881,1113,1345],"native_values":[797,148,797,561,384,561],"rotation_degrees":47.8448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":797},{"alpha_index":417,"clock_position":417,"value":148},{"alpha_index":649,"clock_position":649,"value":797},{"alpha_index":881,"clock_position":881,"value":561},{"alpha_index":1113,"clock_position":1113,"value":384},{"alpha_index":1345,"clock_position":1345,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,418,650,882,1114,1346],"clock_positions":[186,418,650,882,1114,1346],"native_values":[734,85,321,498,321,85],"rotation_degrees":48.10344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":734},{"alpha_index":418,"clock_position":418,"value":85},{"alpha_index":650,"clock_position":650,"value":321},{"alpha_index":882,"clock_position":882,"value":498},{"alpha_index":1114,"clock_position":1114,"value":321},{"alpha_index":1346,"clock_position":1346,"value":85}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,419,651,883,1115,1347],"clock_positions":[187,419,651,883,1115,1347],"native_values":[705,233,292,233,705,646],"rotation_degrees":48.36206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":705},{"alpha_index":419,"clock_position":419,"value":233},{"alpha_index":651,"clock_position":651,"value":292},{"alpha_index":883,"clock_position":883,"value":233},{"alpha_index":1115,"clock_position":1115,"value":705},{"alpha_index":1347,"clock_position":1347,"value":646}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,420,652,884,1116,1348],"clock_positions":[188,420,652,884,1116,1348],"native_values":[613,318,613,731,200,731],"rotation_degrees":48.62068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":613},{"alpha_index":420,"clock_position":420,"value":318},{"alpha_index":652,"clock_position":652,"value":613},{"alpha_index":884,"clock_position":884,"value":731},{"alpha_index":1116,"clock_position":1116,"value":200},{"alpha_index":1348,"clock_position":1348,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,421,653,885,1117,1349],"clock_positions":[189,421,653,885,1117,1349],"native_values":[492,551,79,138,79,551],"rotation_degrees":48.87931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":492},{"alpha_index":421,"clock_position":421,"value":551},{"alpha_index":653,"clock_position":653,"value":79},{"alpha_index":885,"clock_position":885,"value":138},{"alpha_index":1117,"clock_position":1117,"value":79},{"alpha_index":1349,"clock_position":1349,"value":551}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,422,654,886,1118,1350],"clock_positions":[190,422,654,886,1118,1350],"native_values":[279,43,692,43,279,456],"rotation_degrees":49.13793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":279},{"alpha_index":422,"clock_position":422,"value":43},{"alpha_index":654,"clock_position":654,"value":692},{"alpha_index":886,"clock_position":886,"value":43},{"alpha_index":1118,"clock_position":1118,"value":279},{"alpha_index":1350,"clock_position":1350,"value":456}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,423,655,887,1119,1351],"clock_positions":[191,423,655,887,1119,1351],"native_values":[771,594,771,181,358,181],"rotation_degrees":49.39655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":771},{"alpha_index":423,"clock_position":423,"value":594},{"alpha_index":655,"clock_position":655,"value":771},{"alpha_index":887,"clock_position":887,"value":181},{"alpha_index":1119,"clock_position":1119,"value":358},{"alpha_index":1351,"clock_position":1351,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,424,656,888,1120,1352],"clock_positions":[192,424,656,888,1120,1352],"native_values":[224,637,637,224,637,637],"rotation_degrees":49.6551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":224},{"alpha_index":424,"clock_position":424,"value":637},{"alpha_index":656,"clock_position":656,"value":637},{"alpha_index":888,"clock_position":888,"value":224},{"alpha_index":1120,"clock_position":1120,"value":637},{"alpha_index":1352,"clock_position":1352,"value":637}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,425,657,889,1121,1353],"clock_positions":[193,425,657,889,1121,1353],"native_values":[169,405,582,405,169,818],"rotation_degrees":49.91379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":169},{"alpha_index":425,"clock_position":425,"value":405},{"alpha_index":657,"clock_position":657,"value":582},{"alpha_index":889,"clock_position":889,"value":405},{"alpha_index":1121,"clock_position":1121,"value":169},{"alpha_index":1353,"clock_position":1353,"value":818}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,426,658,890,1122,1354],"clock_positions":[194,426,658,890,1122,1354],"native_values":[393,216,393,629,806,629],"rotation_degrees":50.172413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":393},{"alpha_index":426,"clock_position":426,"value":216},{"alpha_index":658,"clock_position":658,"value":393},{"alpha_index":890,"clock_position":890,"value":629},{"alpha_index":1122,"clock_position":1122,"value":806},{"alpha_index":1354,"clock_position":1354,"value":629}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,427,659,891,1123,1355],"clock_positions":[195,427,659,891,1123,1355],"native_values":[562,621,149,208,149,621],"rotation_degrees":50.43103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":562},{"alpha_index":427,"clock_position":427,"value":621},{"alpha_index":659,"clock_position":659,"value":149},{"alpha_index":891,"clock_position":891,"value":208},{"alpha_index":1123,"clock_position":1123,"value":149},{"alpha_index":1355,"clock_position":1355,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,428,660,892,1124,1356],"clock_positions":[196,428,660,892,1124,1356],"native_values":[129,11,542,11,129,424],"rotation_degrees":50.689655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":129},{"alpha_index":428,"clock_position":428,"value":11},{"alpha_index":660,"clock_position":660,"value":542},{"alpha_index":892,"clock_position":892,"value":11},{"alpha_index":1124,"clock_position":1124,"value":129},{"alpha_index":1356,"clock_position":1356,"value":424}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,429,661,893,1125,1357],"clock_positions":[197,429,661,893,1125,1357],"native_values":[691,632,691,219,278,219],"rotation_degrees":50.94827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":691},{"alpha_index":429,"clock_position":429,"value":632},{"alpha_index":661,"clock_position":661,"value":691},{"alpha_index":893,"clock_position":893,"value":219},{"alpha_index":1125,"clock_position":1125,"value":278},{"alpha_index":1357,"clock_position":1357,"value":219}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,430,662,894,1126,1358],"clock_positions":[198,430,662,894,1126,1358],"native_values":[820,643,407,230,407,643],"rotation_degrees":51.206896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":820},{"alpha_index":430,"clock_position":430,"value":643},{"alpha_index":662,"clock_position":662,"value":407},{"alpha_index":894,"clock_position":894,"value":230},{"alpha_index":1126,"clock_position":1126,"value":407},{"alpha_index":1358,"clock_position":1358,"value":643}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,431,663,895,1127,1359],"clock_positions":[199,431,663,895,1127,1359],"native_values":[685,449,272,449,685,36],"rotation_degrees":51.46551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":685},{"alpha_index":431,"clock_position":431,"value":449},{"alpha_index":663,"clock_position":663,"value":272},{"alpha_index":895,"clock_position":895,"value":449},{"alpha_index":1127,"clock_position":1127,"value":685},{"alpha_index":1359,"clock_position":1359,"value":36}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,432,664,896,1128,1360],"clock_positions":[200,432,664,896,1128,1360],"native_values":[679,266,679,679,266,679],"rotation_degrees":51.724137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":679},{"alpha_index":432,"clock_position":432,"value":266},{"alpha_index":664,"clock_position":664,"value":679},{"alpha_index":896,"clock_position":896,"value":679},{"alpha_index":1128,"clock_position":1128,"value":266},{"alpha_index":1360,"clock_position":1360,"value":679}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,433,665,897,1129,1361],"clock_positions":[201,433,665,897,1129,1361],"native_values":[538,715,125,302,125,715],"rotation_degrees":51.98275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":538},{"alpha_index":433,"clock_position":433,"value":715},{"alpha_index":665,"clock_position":665,"value":125},{"alpha_index":897,"clock_position":897,"value":302},{"alpha_index":1129,"clock_position":1129,"value":125},{"alpha_index":1361,"clock_position":1361,"value":715}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,434,666,898,1130,1362],"clock_positions":[202,434,666,898,1130,1362],"native_values":[391,155,804,155,391,568],"rotation_degrees":52.241379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":391},{"alpha_index":434,"clock_position":434,"value":155},{"alpha_index":666,"clock_position":666,"value":804},{"alpha_index":898,"clock_position":898,"value":155},{"alpha_index":1130,"clock_position":1130,"value":391},{"alpha_index":1362,"clock_position":1362,"value":568}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,435,667,899,1131,1363],"clock_positions":[203,435,667,899,1131,1363],"native_values":[103,44,103,457,516,457],"rotation_degrees":52.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":103},{"alpha_index":435,"clock_position":435,"value":44},{"alpha_index":667,"clock_position":667,"value":103},{"alpha_index":899,"clock_position":899,"value":457},{"alpha_index":1131,"clock_position":1131,"value":516},{"alpha_index":1363,"clock_position":1363,"value":457}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,436,668,900,1132,1364],"clock_positions":[204,436,668,900,1132,1364],"native_values":[494,199,81,612,81,199],"rotation_degrees":52.758620689655174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":494},{"alpha_index":436,"clock_position":436,"value":199},{"alpha_index":668,"clock_position":668,"value":81},{"alpha_index":900,"clock_position":900,"value":612},{"alpha_index":1132,"clock_position":1132,"value":81},{"alpha_index":1364,"clock_position":1364,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,437,669,901,1133,1365],"clock_positions":[205,437,669,901,1133,1365],"native_values":[597,243,184,243,597,656],"rotation_degrees":53.01724137931034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":597},{"alpha_index":437,"clock_position":437,"value":243},{"alpha_index":669,"clock_position":669,"value":184},{"alpha_index":901,"clock_position":901,"value":243},{"alpha_index":1133,"clock_position":1133,"value":597},{"alpha_index":1365,"clock_position":1365,"value":656}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,438,670,902,1134,1366],"clock_positions":[206,438,670,902,1134,1366],"native_values":[265,442,265,29,678,29],"rotation_degrees":53.275862068965516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":265},{"alpha_index":438,"clock_position":438,"value":442},{"alpha_index":670,"clock_position":670,"value":265},{"alpha_index":902,"clock_position":902,"value":29},{"alpha_index":1134,"clock_position":1134,"value":678},{"alpha_index":1366,"clock_position":1366,"value":29}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,439,671,903,1135,1367],"clock_positions":[207,439,671,903,1135,1367],"native_values":[36,685,449,272,449,685],"rotation_degrees":53.53448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":36},{"alpha_index":439,"clock_position":439,"value":685},{"alpha_index":671,"clock_position":671,"value":449},{"alpha_index":903,"clock_position":903,"value":272},{"alpha_index":1135,"clock_position":1135,"value":449},{"alpha_index":1367,"clock_position":1367,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,440,672,904,1136,1368],"clock_positions":[208,440,672,904,1136,1368],"native_values":[301,301,714,301,301,714],"rotation_degrees":53.793103448275865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":301},{"alpha_index":440,"clock_position":440,"value":301},{"alpha_index":672,"clock_position":672,"value":714},{"alpha_index":904,"clock_position":904,"value":301},{"alpha_index":1136,"clock_position":1136,"value":301},{"alpha_index":1368,"clock_position":1368,"value":714}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,441,673,905,1137,1369],"clock_positions":[209,441,673,905,1137,1369],"native_values":[337,160,337,573,750,573],"rotation_degrees":54.05172413793103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":337},{"alpha_index":441,"clock_position":441,"value":160},{"alpha_index":673,"clock_position":673,"value":337},{"alpha_index":905,"clock_position":905,"value":573},{"alpha_index":1137,"clock_position":1137,"value":750},{"alpha_index":1369,"clock_position":1369,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,442,674,906,1138,1370],"clock_positions":[210,442,674,906,1138,1370],"native_values":[638,461,225,48,225,461],"rotation_degrees":54.310344827586206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":638},{"alpha_index":442,"clock_position":442,"value":461},{"alpha_index":674,"clock_position":674,"value":225},{"alpha_index":906,"clock_position":906,"value":48},{"alpha_index":1138,"clock_position":1138,"value":225},{"alpha_index":1370,"clock_position":1370,"value":461}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,443,675,907,1139,1371],"clock_positions":[211,443,675,907,1139,1371],"native_values":[149,621,562,621,149,208],"rotation_degrees":54.56896551724138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":149},{"alpha_index":443,"clock_position":443,"value":621},{"alpha_index":675,"clock_position":675,"value":562},{"alpha_index":907,"clock_position":907,"value":621},{"alpha_index":1139,"clock_position":1139,"value":149},{"alpha_index":1371,"clock_position":1371,"value":208}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,444,676,908,1140,1372],"clock_positions":[212,444,676,908,1140,1372],"native_values":[787,256,787,669,374,669],"rotation_degrees":54.827586206896555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":787},{"alpha_index":444,"clock_position":444,"value":256},{"alpha_index":676,"clock_position":676,"value":787},{"alpha_index":908,"clock_position":908,"value":669},{"alpha_index":1140,"clock_position":1140,"value":374},{"alpha_index":1372,"clock_position":1372,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,445,677,909,1141,1373],"clock_positions":[213,445,677,909,1141,1373],"native_values":[110,51,523,464,523,51],"rotation_degrees":55.08620689655172,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":110},{"alpha_index":445,"clock_position":445,"value":51},{"alpha_index":677,"clock_position":677,"value":523},{"alpha_index":909,"clock_position":909,"value":464},{"alpha_index":1141,"clock_position":1141,"value":523},{"alpha_index":1373,"clock_position":1373,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,446,678,910,1142,1374],"clock_positions":[214,446,678,910,1142,1374],"native_values":[71,307,484,307,71,720],"rotation_degrees":55.3448275862069,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":71},{"alpha_index":446,"clock_position":446,"value":307},{"alpha_index":678,"clock_position":678,"value":484},{"alpha_index":910,"clock_position":910,"value":307},{"alpha_index":1142,"clock_position":1142,"value":71},{"alpha_index":1374,"clock_position":1374,"value":720}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,447,679,911,1143,1375],"clock_positions":[215,447,679,911,1143,1375],"native_values":[181,358,181,771,594,771],"rotation_degrees":55.60344827586207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":181},{"alpha_index":447,"clock_position":447,"value":358},{"alpha_index":679,"clock_position":679,"value":181},{"alpha_index":911,"clock_position":911,"value":771},{"alpha_index":1143,"clock_position":1143,"value":594},{"alpha_index":1375,"clock_position":1375,"value":771}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,448,680,912,1144,1376],"clock_positions":[216,448,680,912,1144,1376],"native_values":[252,665,665,252,665,665],"rotation_degrees":55.86206896551724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":252},{"alpha_index":448,"clock_position":448,"value":665},{"alpha_index":680,"clock_position":680,"value":665},{"alpha_index":912,"clock_position":912,"value":252},{"alpha_index":1144,"clock_position":1144,"value":665},{"alpha_index":1376,"clock_position":1376,"value":665}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,449,681,913,1145,1377],"clock_positions":[217,449,681,913,1145,1377],"native_values":[433,197,20,197,433,610],"rotation_degrees":56.12068965517241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":433},{"alpha_index":449,"clock_position":449,"value":197},{"alpha_index":681,"clock_position":681,"value":20},{"alpha_index":913,"clock_position":913,"value":197},{"alpha_index":1145,"clock_position":1145,"value":433},{"alpha_index":1377,"clock_position":1377,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,450,682,914,1146,1378],"clock_positions":[218,450,682,914,1146,1378],"native_values":[685,36,685,449,272,449],"rotation_degrees":56.37931034482759,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":685},{"alpha_index":450,"clock_position":450,"value":36},{"alpha_index":682,"clock_position":682,"value":685},{"alpha_index":914,"clock_position":914,"value":449},{"alpha_index":1146,"clock_position":1146,"value":272},{"alpha_index":1378,"clock_position":1378,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,451,683,915,1147,1379],"clock_positions":[219,451,683,915,1147,1379],"native_values":[292,233,705,646,705,233],"rotation_degrees":56.63793103448276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":292},{"alpha_index":451,"clock_position":451,"value":233},{"alpha_index":683,"clock_position":683,"value":705},{"alpha_index":915,"clock_position":915,"value":646},{"alpha_index":1147,"clock_position":1147,"value":705},{"alpha_index":1379,"clock_position":1379,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-220","alpha_indices":[220,452,684,916,1148,1380],"clock_positions":[220,452,684,916,1148,1380],"native_values":[151,269,564,269,151,682],"rotation_degrees":56.89655172413793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":220,"clock_position":220,"value":151},{"alpha_index":452,"clock_position":452,"value":269},{"alpha_index":684,"clock_position":684,"value":564},{"alpha_index":916,"clock_position":916,"value":269},{"alpha_index":1148,"clock_position":1148,"value":151},{"alpha_index":1380,"clock_position":1380,"value":682}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-221","alpha_indices":[221,453,685,917,1149,1381],"clock_positions":[221,453,685,917,1149,1381],"native_values":[443,502,443,89,30,89],"rotation_degrees":57.1551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":221,"clock_position":221,"value":443},{"alpha_index":453,"clock_position":453,"value":502},{"alpha_index":685,"clock_position":685,"value":443},{"alpha_index":917,"clock_position":917,"value":89},{"alpha_index":1149,"clock_position":1149,"value":30},{"alpha_index":1381,"clock_position":1381,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-222","alpha_indices":[222,454,686,918,1150,1382],"clock_positions":[222,454,686,918,1150,1382],"native_values":[594,771,181,358,181,771],"rotation_degrees":57.41379310344828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":594},{"alpha_index":454,"clock_position":454,"value":771},{"alpha_index":686,"clock_position":686,"value":181},{"alpha_index":918,"clock_position":918,"value":358},{"alpha_index":1150,"clock_position":1150,"value":181},{"alpha_index":1382,"clock_position":1382,"value":771}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-223","alpha_indices":[223,455,687,919,1151,1383],"clock_positions":[223,455,687,919,1151,1383],"native_values":[211,447,624,447,211,34],"rotation_degrees":57.672413793103445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":223,"clock_position":223,"value":211},{"alpha_index":455,"clock_position":455,"value":447},{"alpha_index":687,"clock_position":687,"value":624},{"alpha_index":919,"clock_position":919,"value":447},{"alpha_index":1151,"clock_position":1151,"value":211},{"alpha_index":1383,"clock_position":1383,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-224","alpha_indices":[224,456,688,920,1152,1384],"clock_positions":[224,456,688,920,1152,1384],"native_values":[805,392,805,805,392,805],"rotation_degrees":57.93103448275862,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":805},{"alpha_index":456,"clock_position":456,"value":392},{"alpha_index":688,"clock_position":688,"value":805},{"alpha_index":920,"clock_position":920,"value":805},{"alpha_index":1152,"clock_position":1152,"value":392},{"alpha_index":1384,"clock_position":1384,"value":805}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-225","alpha_indices":[225,457,689,921,1153,1385],"clock_positions":[225,457,689,921,1153,1385],"native_values":[190,13,603,426,603,13],"rotation_degrees":58.189655172413794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":225,"clock_position":225,"value":190},{"alpha_index":457,"clock_position":457,"value":13},{"alpha_index":689,"clock_position":689,"value":603},{"alpha_index":921,"clock_position":921,"value":426},{"alpha_index":1153,"clock_position":1153,"value":603},{"alpha_index":1385,"clock_position":1385,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-226","alpha_indices":[226,458,690,922,1154,1386],"clock_positions":[226,458,690,922,1154,1386],"native_values":[169,405,582,405,169,818],"rotation_degrees":58.44827586206897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":226,"clock_position":226,"value":169},{"alpha_index":458,"clock_position":458,"value":405},{"alpha_index":690,"clock_position":690,"value":582},{"alpha_index":922,"clock_position":922,"value":405},{"alpha_index":1154,"clock_position":1154,"value":169},{"alpha_index":1386,"clock_position":1386,"value":818}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-227","alpha_indices":[227,459,691,923,1155,1387],"clock_positions":[227,459,691,923,1155,1387],"native_values":[359,418,359,5,772,5],"rotation_degrees":58.706896551724135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":227,"clock_position":227,"value":359},{"alpha_index":459,"clock_position":459,"value":418},{"alpha_index":691,"clock_position":691,"value":359},{"alpha_index":923,"clock_position":923,"value":5},{"alpha_index":1155,"clock_position":1155,"value":772},{"alpha_index":1387,"clock_position":1387,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-228","alpha_indices":[228,460,692,924,1156,1388],"clock_positions":[228,460,692,924,1156,1388],"native_values":[528,823,115,410,115,823],"rotation_degrees":58.96551724137931,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":228,"clock_position":228,"value":528},{"alpha_index":460,"clock_position":460,"value":823},{"alpha_index":692,"clock_position":692,"value":115},{"alpha_index":924,"clock_position":924,"value":410},{"alpha_index":1156,"clock_position":1156,"value":115},{"alpha_index":1388,"clock_position":1388,"value":823}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-229","alpha_indices":[229,461,693,925,1157,1389],"clock_positions":[229,461,693,925,1157,1389],"native_values":[61,415,474,415,61,2],"rotation_degrees":59.224137931034484,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":229,"clock_position":229,"value":61},{"alpha_index":461,"clock_position":461,"value":415},{"alpha_index":693,"clock_position":693,"value":474},{"alpha_index":925,"clock_position":925,"value":415},{"alpha_index":1157,"clock_position":1157,"value":61},{"alpha_index":1389,"clock_position":1389,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-230","alpha_indices":[230,462,694,926,1158,1390],"clock_positions":[230,462,694,926,1158,1390],"native_values":[589,412,589,825,176,825],"rotation_degrees":59.48275862068966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":230,"clock_position":230,"value":589},{"alpha_index":462,"clock_position":462,"value":412},{"alpha_index":694,"clock_position":694,"value":589},{"alpha_index":926,"clock_position":926,"value":825},{"alpha_index":1158,"clock_position":1158,"value":176},{"alpha_index":1390,"clock_position":1390,"value":825}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-231","alpha_indices":[231,463,695,927,1159,1391],"clock_positions":[231,463,695,927,1159,1391],"native_values":[650,1,237,414,237,1],"rotation_degrees":59.741379310344826,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":231,"clock_position":231,"value":650},{"alpha_index":463,"clock_position":463,"value":1},{"alpha_index":695,"clock_position":695,"value":237},{"alpha_index":927,"clock_position":927,"value":414},{"alpha_index":1159,"clock_position":1159,"value":237},{"alpha_index":1391,"clock_position":1391,"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/m826/alpha.svg","png":"pilot-v1/views/m826/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m826/beta.svg","png":"pilot-v1/views/m826/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m826/gamma.svg","png":"pilot-v1/views/m826/gamma.png"},{"id":"fibonacci-m826p1392","name":"Fibonacci M826P1392","svg":"pilot-v1/views/m826/fibonacci-m826p1392.svg","png":"pilot-v1/views/m826/fibonacci-m826p1392.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}}