{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m653-p1308","name":"Fibonacci M653P1308","modulus":653,"pisano_period":1308,"conventions":{"index_origin":0,"clock_labels":[1308,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307],"orientation":"clockwise from north","zero_display":653,"alpha_circle_positions":1308,"beta_circle_positions":653,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,334,291,625,263,235,498,80,578,5,583,588,518,453,318,118,436,554,337,238,575,160,82,242,324,566,237,150,387,537,271,155,426,581,354,282,636,265,248,513,108,621,76,44,120,164,284,448,79,527,606,480,433,260,40,300,340,640,327,314,641,302,290,592,229,168,397,565,309,221,530,98,628,73,48,121,169,290,459,96,555,651,553,551,451,349,147,496,643,486,476,309,132,441,573,361,281,642,270,259,529,135,11,146,157,303,460,110,570,27,597,624,568,539,454,340,141,481,622,450,419,216,635,198,180,378,558,283,188,471,6,477,483,307,137,444,581,372,300,19,319,338,4,342,346,35,381,416,144,560,51,611,9,620,629,596,572,515,434,296,77,373,450,170,620,137,104,241,345,586,278,211,489,47,536,583,466,396,209,605,161,113,274,387,8,395,403,145,548,40,588,628,563,538,448,333,128,461,589,397,333,77,410,487,244,78,322,400,69,469,538,354,239,593,179,119,298,417,62,479,541,367,255,622,224,193,417,610,374,331,52,383,435,165,600,112,59,171,230,401,631,379,357,83,440,523,310,180,490,17,507,524,378,249,627,223,197,420,617,384,348,79,427,506,280,133,413,546,306,199,505,51,556,607,510,464,321,132,453,585,385,317,49,366,415,128,543,18,561,579,487,413,247,7,254,261,515,123,638,108,93,201,294,495,136,631,114,92,206,298,504,149,0,149,149,298,447,92,539,631,517,495,359,201,560,108,15,123,138,261,399,7,406,413,166,579,92,18,110,128,238,366,604,317,268,585,200,132,332,464,143,607,97,51,148,199,347,546,240,133,373,506,226,79,305,384,36,420,456,223,26,249,275,524,146,17,163,180,343,523,213,83,296,379,22,401,423,171,594,112,53,165,218,383,601,331,279,610,236,193,429,622,398,367,112,479,591,417,355,119,474,593,414,354,115,469,584,400,331,78,409,487,243,77,320,397,64,461,525,333,205,538,90,628,65,40,105,145,250,395,645,387,379,113,492,605,444,396,187,583,117,47,164,211,375,586,308,241,549,137,33,170,203,373,576,296,219,515,81,596,24,620,644,611,602,560,509,416,272,35,307,342,649,338,334,19,353,372,72,444,516,307,170,477,647,471,465,283,95,378,473,198,18,216,234,450,31,481,512,340,199,539,85,624,56,27,83,110,193,303,496,146,642,135,124,259,383,642,372,361,80,441,521,309,177,486,10,496,506,349,202,551,100,651,98,96,194,290,484,121,605,73,25,98,123,221,344,565,256,168,424,592,363,302,12,314,326,640,313,300,613,260,220,480,47,527,574,448,369,164,533,44,577,621,545,513,405,265,17,282,299,581,227,155,382,537,266,150,416,566,329,242,571,160,78,238,316,554,217,118,335,453,135,588,70,5,75,80,155,235,390,625,362,334,43,377,420,144,564,55,619,21,640,8,648,3,651,1,652,0,652,652,651,650,648,645,640,632,619,598,564,509,420,276,43,319,362,28,390,418,155,573,75,648,70,65,135,200,335,535,217,99,316,415,78,493,571,411,329,87,416,503,266,116,382,498,227,72,299,371,17,388,405,140,545,32,577,609,533,489,369,205,574,126,47,173,220,393,613,353,313,13,326,339,12,351,363,61,424,485,256,88,344,432,123,555,25,580,605,532,484,363,194,557,98,2,100,102,202,304,506,157,10,167,177,344,521,212,80,292,372,11,383,394,124,518,642,507,496,350,193,543,83,626,56,29,85,114,199,313,512,172,31,203,234,437,18,455,473,275,95,370,465,182,647,176,170,346,516,209,72,281,353,634,334,315,649,311,307,618,272,237,509,93,602,42,644,33,24,57,81,138,219,357,576,280,203,483,33,516,549,412,308,67,375,442,164,606,117,70,187,257,444,48,492,540,379,266,645,258,250,508,105,613,65,25,90,115,205,320,525,192,64,256,320,576,243,166,409,575,331,253,584,184,115,299,414,60,474,534,355,236,591,174,112,286,398,31,429,460,236,43,279,322,601,270,218,488,53,541,594,482,423,252,22,274,296,570,213,130,343,473,163,636,146,129,275,404,26,430,456,233,36,269,305,574,226,147,373,520,240,107,347,454,148,602,97,46,143,189,332,521,200,68,268,336,604,287,238,525,110,635,92,74,166,240,406,646,399,392,138,530,15,545,560,452,359,158,517,22,539,561,447,355,149,504,0,504,504,355,206,561,114,22,136,158,294,452,93,545,638,530,515,392,254,646,247,240,487,74,561,635,543,525,415,287,49,336,385,68,453,521,321,189,510,46,556,602,505,454,306,107,413,520,280,147,427,574,348,269,617,233,197,430,627,404,378,129,507,636,490,473,310,130,440,570,357,274,631,252,230,482,59,541,600,488,435,270,52,322,374,43,417,460,224,31,255,286,541,174,62,236,298,534,179,60,239,299,538,184,69,253,322,575,244,166,410,576,333,256,589,192,128,320,448,115,563,25,588,613,548,508,403,258,8,266,274,540,161,48,209,257,466,70,536,606,489,442,278,67,345,412,104,516,620,483,450,280,77,357,434,138,572,57,629,33,9,42,51,93,144,237,381,618,346,311,4,315,319,634,300,281,581,209,137,346,483,176,6,182,188,370,558,275,180,455,635,437,419,203,622,172,141,313,454,114,568,29,597,626,570,543,460,350,157,507,11,518,529,394,270,11,281,292,573,212,132,344,476,167,643,157,147,304,451,102,553,2,555,557,459,363,169,532,48,580,628,555,530,432,309,88,397,485,229,61,290,351,641,339,327,13,340,353,40,393,433,173,606,126,79,205,284,489,120,609,76,32,108,140,248,388,636,371,354,72,426,498,271,116,387,503,237,87,324,411,82,493,575,415,337,99,436,535,318,200,518,65,583,648,578,573,498,418,263,28,291,319,610,276,233,509,89,598,34,632,13,645,5,650,2,652,1],"display_values":[653,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,334,291,625,263,235,498,80,578,5,583,588,518,453,318,118,436,554,337,238,575,160,82,242,324,566,237,150,387,537,271,155,426,581,354,282,636,265,248,513,108,621,76,44,120,164,284,448,79,527,606,480,433,260,40,300,340,640,327,314,641,302,290,592,229,168,397,565,309,221,530,98,628,73,48,121,169,290,459,96,555,651,553,551,451,349,147,496,643,486,476,309,132,441,573,361,281,642,270,259,529,135,11,146,157,303,460,110,570,27,597,624,568,539,454,340,141,481,622,450,419,216,635,198,180,378,558,283,188,471,6,477,483,307,137,444,581,372,300,19,319,338,4,342,346,35,381,416,144,560,51,611,9,620,629,596,572,515,434,296,77,373,450,170,620,137,104,241,345,586,278,211,489,47,536,583,466,396,209,605,161,113,274,387,8,395,403,145,548,40,588,628,563,538,448,333,128,461,589,397,333,77,410,487,244,78,322,400,69,469,538,354,239,593,179,119,298,417,62,479,541,367,255,622,224,193,417,610,374,331,52,383,435,165,600,112,59,171,230,401,631,379,357,83,440,523,310,180,490,17,507,524,378,249,627,223,197,420,617,384,348,79,427,506,280,133,413,546,306,199,505,51,556,607,510,464,321,132,453,585,385,317,49,366,415,128,543,18,561,579,487,413,247,7,254,261,515,123,638,108,93,201,294,495,136,631,114,92,206,298,504,149,653,149,149,298,447,92,539,631,517,495,359,201,560,108,15,123,138,261,399,7,406,413,166,579,92,18,110,128,238,366,604,317,268,585,200,132,332,464,143,607,97,51,148,199,347,546,240,133,373,506,226,79,305,384,36,420,456,223,26,249,275,524,146,17,163,180,343,523,213,83,296,379,22,401,423,171,594,112,53,165,218,383,601,331,279,610,236,193,429,622,398,367,112,479,591,417,355,119,474,593,414,354,115,469,584,400,331,78,409,487,243,77,320,397,64,461,525,333,205,538,90,628,65,40,105,145,250,395,645,387,379,113,492,605,444,396,187,583,117,47,164,211,375,586,308,241,549,137,33,170,203,373,576,296,219,515,81,596,24,620,644,611,602,560,509,416,272,35,307,342,649,338,334,19,353,372,72,444,516,307,170,477,647,471,465,283,95,378,473,198,18,216,234,450,31,481,512,340,199,539,85,624,56,27,83,110,193,303,496,146,642,135,124,259,383,642,372,361,80,441,521,309,177,486,10,496,506,349,202,551,100,651,98,96,194,290,484,121,605,73,25,98,123,221,344,565,256,168,424,592,363,302,12,314,326,640,313,300,613,260,220,480,47,527,574,448,369,164,533,44,577,621,545,513,405,265,17,282,299,581,227,155,382,537,266,150,416,566,329,242,571,160,78,238,316,554,217,118,335,453,135,588,70,5,75,80,155,235,390,625,362,334,43,377,420,144,564,55,619,21,640,8,648,3,651,1,652,653,652,652,651,650,648,645,640,632,619,598,564,509,420,276,43,319,362,28,390,418,155,573,75,648,70,65,135,200,335,535,217,99,316,415,78,493,571,411,329,87,416,503,266,116,382,498,227,72,299,371,17,388,405,140,545,32,577,609,533,489,369,205,574,126,47,173,220,393,613,353,313,13,326,339,12,351,363,61,424,485,256,88,344,432,123,555,25,580,605,532,484,363,194,557,98,2,100,102,202,304,506,157,10,167,177,344,521,212,80,292,372,11,383,394,124,518,642,507,496,350,193,543,83,626,56,29,85,114,199,313,512,172,31,203,234,437,18,455,473,275,95,370,465,182,647,176,170,346,516,209,72,281,353,634,334,315,649,311,307,618,272,237,509,93,602,42,644,33,24,57,81,138,219,357,576,280,203,483,33,516,549,412,308,67,375,442,164,606,117,70,187,257,444,48,492,540,379,266,645,258,250,508,105,613,65,25,90,115,205,320,525,192,64,256,320,576,243,166,409,575,331,253,584,184,115,299,414,60,474,534,355,236,591,174,112,286,398,31,429,460,236,43,279,322,601,270,218,488,53,541,594,482,423,252,22,274,296,570,213,130,343,473,163,636,146,129,275,404,26,430,456,233,36,269,305,574,226,147,373,520,240,107,347,454,148,602,97,46,143,189,332,521,200,68,268,336,604,287,238,525,110,635,92,74,166,240,406,646,399,392,138,530,15,545,560,452,359,158,517,22,539,561,447,355,149,504,653,504,504,355,206,561,114,22,136,158,294,452,93,545,638,530,515,392,254,646,247,240,487,74,561,635,543,525,415,287,49,336,385,68,453,521,321,189,510,46,556,602,505,454,306,107,413,520,280,147,427,574,348,269,617,233,197,430,627,404,378,129,507,636,490,473,310,130,440,570,357,274,631,252,230,482,59,541,600,488,435,270,52,322,374,43,417,460,224,31,255,286,541,174,62,236,298,534,179,60,239,299,538,184,69,253,322,575,244,166,410,576,333,256,589,192,128,320,448,115,563,25,588,613,548,508,403,258,8,266,274,540,161,48,209,257,466,70,536,606,489,442,278,67,345,412,104,516,620,483,450,280,77,357,434,138,572,57,629,33,9,42,51,93,144,237,381,618,346,311,4,315,319,634,300,281,581,209,137,346,483,176,6,182,188,370,558,275,180,455,635,437,419,203,622,172,141,313,454,114,568,29,597,626,570,543,460,350,157,507,11,518,529,394,270,11,281,292,573,212,132,344,476,167,643,157,147,304,451,102,553,2,555,557,459,363,169,532,48,580,628,555,530,432,309,88,397,485,229,61,290,351,641,339,327,13,340,353,40,393,433,173,606,126,79,205,284,489,120,609,76,32,108,140,248,388,636,371,354,72,426,498,271,116,387,503,237,87,324,411,82,493,575,415,337,99,436,535,318,200,518,65,583,648,578,573,498,418,263,28,291,319,610,276,233,509,89,598,34,632,13,645,5,650,2,652,1]},"gamma":{"alpha_indices":[0,4,8,12,17,21,26,28,29,39,41,42,43,44,47,49,50,51,54,55,56,59,65,66,70,73,80,83,89,93,94,95,96,101,104,106,107,108,109,112,113,116,120,123,124,125,126,131,134,136,138,139,140,141,144,145,146,147,150,152,153,158,161,163,165,167,177,183,187,192,198,205,210,215,220,223,226,232,237,241,247,248,249,252,257,262,265,267,268,269,272,274,275,282,283,286,289,291,292,293,294,298,301,302,303,304,310,312,314,315,316,317,318,321,325,327,331,336,338,340,341,342,343,344,345,350,352,356,360,362,368,372,373,380,381,382,383,386,392,395,401,402,403,406,411,415,421,422,425,427,428,434,437,443,444,447,451,455,456,459,461,462,465,469,473,475,479,481,483,485,496,502,503,504,505,508,510,511,514,516,517,518,519,520,528,530,534,537,538,542,543,546,548,549,550,558,560,569,574,577,579,584,588,593,598,600,601,604,610,612,619,626,627,628,631,635,641,642,643,646,649,650,651,654,657,659,660,665,667,668,673,676,677,678,681,686,689,692,694,700,702,707,712,714,715,718,722,728,729,730,731,738,739,740,746,752,759,765,771,772,776,782,789,791,797,803,805,810,814,816,818,820,822,823,824,825,826,827,828,829,832,833,834,835,839,842,843,847,848,849,850,853,854,857,861,865,866,870,871,881,882,883,884,887,888,893,897,900,905,907,908,912,913,918,920,925,927,932,935,944,950,954,960,963,965,967,976,977,980,981,982,983,986,987,991,993,1002,1005,1007,1008,1012,1015,1017,1018,1019,1025,1030,1033,1039,1041,1042,1043,1044,1050,1051,1054,1059,1061,1062,1067,1071,1074,1078,1080,1085,1092,1093,1096,1103,1108,1112,1114,1120,1121,1125,1128,1130,1131,1134,1136,1138,1140,1141,1142,1143,1144,1145,1146,1147,1148,1152,1155,1161,1163,1167,1169,1177,1180,1183,1185,1186,1190,1195,1199,1201,1207,1210,1213,1215,1216,1219,1222,1224,1225,1232,1234,1235,1240,1243,1244,1248,1249,1250,1253,1257,1259,1260,1261,1262,1265,1267,1268,1269,1270,1276,1279,1284,1286,1287,1291,1294,1302],"clock_positions":[1308,4,8,12,17,21,26,28,29,39,41,42,43,44,47,49,50,51,54,55,56,59,65,66,70,73,80,83,89,93,94,95,96,101,104,106,107,108,109,112,113,116,120,123,124,125,126,131,134,136,138,139,140,141,144,145,146,147,150,152,153,158,161,163,165,167,177,183,187,192,198,205,210,215,220,223,226,232,237,241,247,248,249,252,257,262,265,267,268,269,272,274,275,282,283,286,289,291,292,293,294,298,301,302,303,304,310,312,314,315,316,317,318,321,325,327,331,336,338,340,341,342,343,344,345,350,352,356,360,362,368,372,373,380,381,382,383,386,392,395,401,402,403,406,411,415,421,422,425,427,428,434,437,443,444,447,451,455,456,459,461,462,465,469,473,475,479,481,483,485,496,502,503,504,505,508,510,511,514,516,517,518,519,520,528,530,534,537,538,542,543,546,548,549,550,558,560,569,574,577,579,584,588,593,598,600,601,604,610,612,619,626,627,628,631,635,641,642,643,646,649,650,651,654,657,659,660,665,667,668,673,676,677,678,681,686,689,692,694,700,702,707,712,714,715,718,722,728,729,730,731,738,739,740,746,752,759,765,771,772,776,782,789,791,797,803,805,810,814,816,818,820,822,823,824,825,826,827,828,829,832,833,834,835,839,842,843,847,848,849,850,853,854,857,861,865,866,870,871,881,882,883,884,887,888,893,897,900,905,907,908,912,913,918,920,925,927,932,935,944,950,954,960,963,965,967,976,977,980,981,982,983,986,987,991,993,1002,1005,1007,1008,1012,1015,1017,1018,1019,1025,1030,1033,1039,1041,1042,1043,1044,1050,1051,1054,1059,1061,1062,1067,1071,1074,1078,1080,1085,1092,1093,1096,1103,1108,1112,1114,1120,1121,1125,1128,1130,1131,1134,1136,1138,1140,1141,1142,1143,1144,1145,1146,1147,1148,1152,1155,1161,1163,1167,1169,1177,1180,1183,1185,1186,1190,1195,1199,1201,1207,1210,1213,1215,1216,1219,1222,1224,1225,1232,1234,1235,1240,1243,1244,1248,1249,1250,1253,1257,1259,1260,1261,1262,1265,1267,1268,1269,1270,1276,1279,1284,1286,1287,1291,1294,1302],"clockwise_values":[653,3,21,144,291,498,588,453,318,324,237,150,387,537,426,354,282,636,513,108,621,120,606,480,300,327,168,309,48,459,96,555,651,147,486,309,132,441,573,642,270,135,303,570,27,597,624,141,450,216,198,180,378,558,471,6,477,483,444,372,300,342,381,144,51,9,450,345,489,396,387,588,333,333,78,69,354,417,255,417,435,165,600,171,357,180,507,378,249,627,420,384,348,546,306,51,510,321,132,453,585,366,543,18,561,579,261,123,108,93,201,294,495,114,504,653,447,495,201,108,15,123,138,261,399,579,18,366,585,132,51,546,240,384,36,420,456,249,180,213,423,171,594,165,279,429,591,417,474,414,354,78,243,525,333,90,105,645,387,492,444,396,117,375,549,33,576,219,81,24,342,372,72,444,516,477,471,465,378,198,18,216,234,450,624,27,303,642,135,642,372,441,309,177,486,651,96,123,168,363,12,300,480,369,621,513,405,282,537,150,78,453,135,588,75,390,420,144,564,21,648,3,651,653,651,648,645,564,420,276,390,573,75,648,135,99,78,411,87,498,72,405,609,489,369,126,393,339,12,351,363,432,123,555,363,102,177,372,642,507,543,114,234,18,465,516,72,315,618,237,93,42,33,24,57,81,138,219,357,576,483,33,516,549,375,606,117,444,48,492,540,645,258,105,90,525,192,576,243,414,60,474,534,591,174,429,279,270,594,423,252,570,213,636,129,456,36,147,240,189,336,525,240,399,138,15,561,447,504,653,504,504,561,114,294,93,240,561,543,525,336,453,321,189,510,306,147,348,627,378,129,507,636,570,357,252,600,435,270,417,255,174,534,60,69,576,333,192,588,258,540,48,606,489,345,516,483,450,357,138,57,33,9,42,51,93,144,237,381,618,315,300,483,6,558,180,141,114,597,570,543,507,270,573,132,147,102,555,459,363,48,555,432,309,351,339,327,393,606,126,489,120,609,108,636,354,72,426,498,387,237,87,324,411,99,318,648,573,498,291,276,645],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,1554,1123,1246,518,0,2742,566,0,0,0,426,581,0,0,513,0,0,120,1502,0,733,980,2368,962,1550,580,0,0,0,1904,1139,476,0,0,0,642,0,788,314,570,0,0,0,1901,1103,419,635,0,0,0,471,0,0,0,444,581,0,680,381,416,560,611,4112,1272,1075,1632,1362,1539,2177,1575,1218,722,1007,1428,1449,1039,1750,0,0,171,1641,1356,507,524,0,0,420,617,0,1838,0,704,1163,464,0,0,0,751,543,0,0,0,1408,515,638,0,0,0,0,767,596,149,596,1779,359,560,0,0,0,0,0,992,92,476,1189,200,1643,694,0,1622,0,0,0,249,1125,866,1181,0,0,165,1533,1039,1978,0,474,593,0,1899,896,1319,0,743,733,790,0,492,605,0,770,422,1135,137,746,296,515,596,4576,1693,0,0,0,477,647,0,378,473,0,0,0,0,2187,56,386,642,0,766,0,441,521,0,0,2214,98,1890,1386,1016,302,1593,1093,1596,1318,545,0,282,1644,266,2284,1778,0,0,75,470,1741,0,0,674,648,0,0,653,1304,650,0,2489,509,0,752,573,0,0,135,1287,731,1064,329,1683,227,1075,1294,533,0,779,440,1618,0,0,0,1658,0,0,2226,951,1346,1449,1430,0,1039,879,1430,437,1668,1521,209,1602,1267,272,509,602,644,0,0,0,0,0,0,0,483,0,0,0,787,606,0,514,0,0,0,645,0,758,703,640,0,640,0,2916,0,0,0,591,0,827,739,923,1300,482,0,592,0,1109,146,1135,233,1374,893,1944,1389,1129,1077,1052,392,530,3152,0,504,0,0,0,561,0,316,452,3767,561,635,0,751,453,521,0,0,2163,1320,1001,1746,404,0,0,0,1843,0,905,1312,488,0,791,715,827,596,179,1260,1970,0,845,1599,2072,548,161,1538,0,787,516,620,0,357,434,572,629,0,0,0,0,0,0,0,0,661,953,1554,176,740,275,2943,767,597,626,0,967,1452,584,212,1787,755,555,557,0,701,1208,530,0,1550,641,0,746,606,0,568,0,0,108,776,371,0,0,0,387,503,0,0,0,1902,971,1366,578,0,709,929,2108,1310],"interval_residues":[4,26,178,248,470,593,518,0,130,566,0,0,0,426,581,0,0,513,0,0,120,196,0,80,327,409,309,244,580,0,0,0,598,486,476,0,0,0,642,0,135,314,570,0,0,0,595,450,419,635,0,0,0,471,0,0,0,444,581,0,27,381,416,560,611,194,619,422,326,56,233,218,269,565,69,354,122,143,386,444,0,0,171,335,50,507,524,0,0,420,617,0,532,0,51,510,464,0,0,0,98,543,0,0,0,102,515,638,0,0,0,0,114,596,149,596,473,359,560,0,0,0,0,0,339,92,476,536,200,337,41,0,316,0,0,0,249,472,213,528,0,0,165,227,386,19,0,474,593,0,593,243,13,0,90,80,137,0,492,605,0,117,422,482,137,93,296,515,596,5,387,0,0,0,477,647,0,378,473,0,0,0,0,228,56,386,642,0,113,0,441,521,0,0,255,98,584,80,363,302,287,440,290,12,545,0,282,338,266,325,472,0,0,75,470,435,0,0,21,648,0,0,0,651,650,0,530,509,0,99,573,0,0,135,634,78,411,329,377,227,422,641,533,0,126,440,312,0,0,0,352,0,0,267,298,40,143,124,0,386,226,124,437,362,215,209,296,614,272,509,602,644,0,0,0,0,0,0,0,483,0,0,0,134,606,0,514,0,0,0,645,0,105,50,640,0,640,0,304,0,0,0,591,0,174,86,270,647,482,0,592,0,456,146,482,233,68,240,638,83,476,424,399,392,530,540,0,504,0,0,0,561,0,316,452,502,561,635,0,98,453,521,0,0,204,14,348,440,404,0,0,0,537,0,252,6,488,0,138,62,174,596,179,607,11,0,192,293,113,548,161,232,0,134,516,620,0,357,434,572,629,0,0,0,0,0,0,0,0,8,300,248,176,87,275,331,114,597,626,0,314,146,584,212,481,102,555,557,0,48,555,530,0,244,641,0,93,606,0,568,0,0,108,123,371,0,0,0,387,503,0,0,0,596,318,60,578,0,56,276,149,4],"display_cycle":[4,26,178,248,470,593,518,653,130,566,653,653,653,426,581,653,653,513,653,653,120,196,653,80,327,409,309,244,580,653,653,653,598,486,476,653,653,653,642,653,135,314,570,653,653,653,595,450,419,635,653,653,653,471,653,653,653,444,581,653,27,381,416,560,611,194,619,422,326,56,233,218,269,565,69,354,122,143,386,444,653,653,171,335,50,507,524,653,653,420,617,653,532,653,51,510,464,653,653,653,98,543,653,653,653,102,515,638,653,653,653,653,114,596,149,596,473,359,560,653,653,653,653,653,339,92,476,536,200,337,41,653,316,653,653,653,249,472,213,528,653,653,165,227,386,19,653,474,593,653,593,243,13,653,90,80,137,653,492,605,653,117,422,482,137,93,296,515,596,5,387,653,653,653,477,647,653,378,473,653,653,653,653,228,56,386,642,653,113,653,441,521,653,653,255,98,584,80,363,302,287,440,290,12,545,653,282,338,266,325,472,653,653,75,470,435,653,653,21,648,653,653,653,651,650,653,530,509,653,99,573,653,653,135,634,78,411,329,377,227,422,641,533,653,126,440,312,653,653,653,352,653,653,267,298,40,143,124,653,386,226,124,437,362,215,209,296,614,272,509,602,644,653,653,653,653,653,653,653,483,653,653,653,134,606,653,514,653,653,653,645,653,105,50,640,653,640,653,304,653,653,653,591,653,174,86,270,647,482,653,592,653,456,146,482,233,68,240,638,83,476,424,399,392,530,540,653,504,653,653,653,561,653,316,452,502,561,635,653,98,453,521,653,653,204,14,348,440,404,653,653,653,537,653,252,6,488,653,138,62,174,596,179,607,11,653,192,293,113,548,161,232,653,134,516,620,653,357,434,572,629,653,653,653,653,653,653,653,653,8,300,248,176,87,275,331,114,597,626,653,314,146,584,212,481,102,555,557,653,48,555,530,653,244,641,653,93,606,653,568,653,653,108,123,371,653,653,653,387,503,653,653,653,596,318,60,578,653,56,276,149,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":17,"interior_indices":[13,14,15,16],"interior_values":[233,377,610,334],"sum":1554,"residue":248},{"from_index":17,"to_index":21,"interior_indices":[18,19,20],"interior_values":[625,263,235],"sum":1123,"residue":470},{"from_index":21,"to_index":26,"interior_indices":[22,23,24,25],"interior_values":[80,578,5,583],"sum":1246,"residue":593},{"from_index":26,"to_index":28,"interior_indices":[27],"interior_values":[518],"sum":518,"residue":518},{"from_index":28,"to_index":29,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":29,"to_index":39,"interior_indices":[30,31,32,33,34,35,36,37,38],"interior_values":[118,436,554,337,238,575,160,82,242],"sum":2742,"residue":130},{"from_index":39,"to_index":41,"interior_indices":[40],"interior_values":[566],"sum":566,"residue":566},{"from_index":41,"to_index":42,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":42,"to_index":43,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":43,"to_index":44,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":44,"to_index":47,"interior_indices":[45,46],"interior_values":[271,155],"sum":426,"residue":426},{"from_index":47,"to_index":49,"interior_indices":[48],"interior_values":[581],"sum":581,"residue":581},{"from_index":49,"to_index":50,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":50,"to_index":51,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":51,"to_index":54,"interior_indices":[52,53],"interior_values":[265,248],"sum":513,"residue":513},{"from_index":54,"to_index":55,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":55,"to_index":56,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":56,"to_index":59,"interior_indices":[57,58],"interior_values":[76,44],"sum":120,"residue":120},{"from_index":59,"to_index":65,"interior_indices":[60,61,62,63,64],"interior_values":[164,284,448,79,527],"sum":1502,"residue":196},{"from_index":65,"to_index":66,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":66,"to_index":70,"interior_indices":[67,68,69],"interior_values":[433,260,40],"sum":733,"residue":80},{"from_index":70,"to_index":73,"interior_indices":[71,72],"interior_values":[340,640],"sum":980,"residue":327},{"from_index":73,"to_index":80,"interior_indices":[74,75,76,77,78,79],"interior_values":[314,641,302,290,592,229],"sum":2368,"residue":409},{"from_index":80,"to_index":83,"interior_indices":[81,82],"interior_values":[397,565],"sum":962,"residue":309},{"from_index":83,"to_index":89,"interior_indices":[84,85,86,87,88],"interior_values":[221,530,98,628,73],"sum":1550,"residue":244},{"from_index":89,"to_index":93,"interior_indices":[90,91,92],"interior_values":[121,169,290],"sum":580,"residue":580},{"from_index":93,"to_index":94,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":94,"to_index":95,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":95,"to_index":96,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":96,"to_index":101,"interior_indices":[97,98,99,100],"interior_values":[553,551,451,349],"sum":1904,"residue":598},{"from_index":101,"to_index":104,"interior_indices":[102,103],"interior_values":[496,643],"sum":1139,"residue":486},{"from_index":104,"to_index":106,"interior_indices":[105],"interior_values":[476],"sum":476,"residue":476},{"from_index":106,"to_index":107,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":107,"to_index":108,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":108,"to_index":109,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":109,"to_index":112,"interior_indices":[110,111],"interior_values":[361,281],"sum":642,"residue":642},{"from_index":112,"to_index":113,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":113,"to_index":116,"interior_indices":[114,115],"interior_values":[259,529],"sum":788,"residue":135},{"from_index":116,"to_index":120,"interior_indices":[117,118,119],"interior_values":[11,146,157],"sum":314,"residue":314},{"from_index":120,"to_index":123,"interior_indices":[121,122],"interior_values":[460,110],"sum":570,"residue":570},{"from_index":123,"to_index":124,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":131,"interior_indices":[127,128,129,130],"interior_values":[568,539,454,340],"sum":1901,"residue":595},{"from_index":131,"to_index":134,"interior_indices":[132,133],"interior_values":[481,622],"sum":1103,"residue":450},{"from_index":134,"to_index":136,"interior_indices":[135],"interior_values":[419],"sum":419,"residue":419},{"from_index":136,"to_index":138,"interior_indices":[137],"interior_values":[635],"sum":635,"residue":635},{"from_index":138,"to_index":139,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":139,"to_index":140,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":140,"to_index":141,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":141,"to_index":144,"interior_indices":[142,143],"interior_values":[283,188],"sum":471,"residue":471},{"from_index":144,"to_index":145,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":145,"to_index":146,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":146,"to_index":147,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":147,"to_index":150,"interior_indices":[148,149],"interior_values":[307,137],"sum":444,"residue":444},{"from_index":150,"to_index":152,"interior_indices":[151],"interior_values":[581],"sum":581,"residue":581},{"from_index":152,"to_index":153,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":153,"to_index":158,"interior_indices":[154,155,156,157],"interior_values":[19,319,338,4],"sum":680,"residue":27},{"from_index":158,"to_index":161,"interior_indices":[159,160],"interior_values":[346,35],"sum":381,"residue":381},{"from_index":161,"to_index":163,"interior_indices":[162],"interior_values":[416],"sum":416,"residue":416},{"from_index":163,"to_index":165,"interior_indices":[164],"interior_values":[560],"sum":560,"residue":560},{"from_index":165,"to_index":167,"interior_indices":[166],"interior_values":[611],"sum":611,"residue":611},{"from_index":167,"to_index":177,"interior_indices":[168,169,170,171,172,173,174,175,176],"interior_values":[620,629,596,572,515,434,296,77,373],"sum":4112,"residue":194},{"from_index":177,"to_index":183,"interior_indices":[178,179,180,181,182],"interior_values":[170,620,137,104,241],"sum":1272,"residue":619},{"from_index":183,"to_index":187,"interior_indices":[184,185,186],"interior_values":[586,278,211],"sum":1075,"residue":422},{"from_index":187,"to_index":192,"interior_indices":[188,189,190,191],"interior_values":[47,536,583,466],"sum":1632,"residue":326},{"from_index":192,"to_index":198,"interior_indices":[193,194,195,196,197],"interior_values":[209,605,161,113,274],"sum":1362,"residue":56},{"from_index":198,"to_index":205,"interior_indices":[199,200,201,202,203,204],"interior_values":[8,395,403,145,548,40],"sum":1539,"residue":233},{"from_index":205,"to_index":210,"interior_indices":[206,207,208,209],"interior_values":[628,563,538,448],"sum":2177,"residue":218},{"from_index":210,"to_index":215,"interior_indices":[211,212,213,214],"interior_values":[128,461,589,397],"sum":1575,"residue":269},{"from_index":215,"to_index":220,"interior_indices":[216,217,218,219],"interior_values":[77,410,487,244],"sum":1218,"residue":565},{"from_index":220,"to_index":223,"interior_indices":[221,222],"interior_values":[322,400],"sum":722,"residue":69},{"from_index":223,"to_index":226,"interior_indices":[224,225],"interior_values":[469,538],"sum":1007,"residue":354},{"from_index":226,"to_index":232,"interior_indices":[227,228,229,230,231],"interior_values":[239,593,179,119,298],"sum":1428,"residue":122},{"from_index":232,"to_index":237,"interior_indices":[233,234,235,236],"interior_values":[62,479,541,367],"sum":1449,"residue":143},{"from_index":237,"to_index":241,"interior_indices":[238,239,240],"interior_values":[622,224,193],"sum":1039,"residue":386},{"from_index":241,"to_index":247,"interior_indices":[242,243,244,245,246],"interior_values":[610,374,331,52,383],"sum":1750,"residue":444},{"from_index":247,"to_index":248,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":248,"to_index":249,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":249,"to_index":252,"interior_indices":[250,251],"interior_values":[112,59],"sum":171,"residue":171},{"from_index":252,"to_index":257,"interior_indices":[253,254,255,256],"interior_values":[230,401,631,379],"sum":1641,"residue":335},{"from_index":257,"to_index":262,"interior_indices":[258,259,260,261],"interior_values":[83,440,523,310],"sum":1356,"residue":50},{"from_index":262,"to_index":265,"interior_indices":[263,264],"interior_values":[490,17],"sum":507,"residue":507},{"from_index":265,"to_index":267,"interior_indices":[266],"interior_values":[524],"sum":524,"residue":524},{"from_index":267,"to_index":268,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":268,"to_index":269,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":269,"to_index":272,"interior_indices":[270,271],"interior_values":[223,197],"sum":420,"residue":420},{"from_index":272,"to_index":274,"interior_indices":[273],"interior_values":[617],"sum":617,"residue":617},{"from_index":274,"to_index":275,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":275,"to_index":282,"interior_indices":[276,277,278,279,280,281],"interior_values":[79,427,506,280,133,413],"sum":1838,"residue":532},{"from_index":282,"to_index":283,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":283,"to_index":286,"interior_indices":[284,285],"interior_values":[199,505],"sum":704,"residue":51},{"from_index":286,"to_index":289,"interior_indices":[287,288],"interior_values":[556,607],"sum":1163,"residue":510},{"from_index":289,"to_index":291,"interior_indices":[290],"interior_values":[464],"sum":464,"residue":464},{"from_index":291,"to_index":292,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":292,"to_index":293,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":293,"to_index":294,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":294,"to_index":298,"interior_indices":[295,296,297],"interior_values":[385,317,49],"sum":751,"residue":98},{"from_index":298,"to_index":301,"interior_indices":[299,300],"interior_values":[415,128],"sum":543,"residue":543},{"from_index":301,"to_index":302,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":302,"to_index":303,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":303,"to_index":304,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":304,"to_index":310,"interior_indices":[305,306,307,308,309],"interior_values":[487,413,247,7,254],"sum":1408,"residue":102},{"from_index":310,"to_index":312,"interior_indices":[311],"interior_values":[515],"sum":515,"residue":515},{"from_index":312,"to_index":314,"interior_indices":[313],"interior_values":[638],"sum":638,"residue":638},{"from_index":314,"to_index":315,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":321,"interior_indices":[319,320],"interior_values":[136,631],"sum":767,"residue":114},{"from_index":321,"to_index":325,"interior_indices":[322,323,324],"interior_values":[92,206,298],"sum":596,"residue":596},{"from_index":325,"to_index":327,"interior_indices":[326],"interior_values":[149],"sum":149,"residue":149},{"from_index":327,"to_index":331,"interior_indices":[328,329,330],"interior_values":[149,149,298],"sum":596,"residue":596},{"from_index":331,"to_index":336,"interior_indices":[332,333,334,335],"interior_values":[92,539,631,517],"sum":1779,"residue":473},{"from_index":336,"to_index":338,"interior_indices":[337],"interior_values":[359],"sum":359,"residue":359},{"from_index":338,"to_index":340,"interior_indices":[339],"interior_values":[560],"sum":560,"residue":560},{"from_index":340,"to_index":341,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":341,"to_index":342,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":342,"to_index":343,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":343,"to_index":344,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":344,"to_index":345,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":345,"to_index":350,"interior_indices":[346,347,348,349],"interior_values":[7,406,413,166],"sum":992,"residue":339},{"from_index":350,"to_index":352,"interior_indices":[351],"interior_values":[92],"sum":92,"residue":92},{"from_index":352,"to_index":356,"interior_indices":[353,354,355],"interior_values":[110,128,238],"sum":476,"residue":476},{"from_index":356,"to_index":360,"interior_indices":[357,358,359],"interior_values":[604,317,268],"sum":1189,"residue":536},{"from_index":360,"to_index":362,"interior_indices":[361],"interior_values":[200],"sum":200,"residue":200},{"from_index":362,"to_index":368,"interior_indices":[363,364,365,366,367],"interior_values":[332,464,143,607,97],"sum":1643,"residue":337},{"from_index":368,"to_index":372,"interior_indices":[369,370,371],"interior_values":[148,199,347],"sum":694,"residue":41},{"from_index":372,"to_index":373,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":373,"to_index":380,"interior_indices":[374,375,376,377,378,379],"interior_values":[133,373,506,226,79,305],"sum":1622,"residue":316},{"from_index":380,"to_index":381,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":381,"to_index":382,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":382,"to_index":383,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":383,"to_index":386,"interior_indices":[384,385],"interior_values":[223,26],"sum":249,"residue":249},{"from_index":386,"to_index":392,"interior_indices":[387,388,389,390,391],"interior_values":[275,524,146,17,163],"sum":1125,"residue":472},{"from_index":392,"to_index":395,"interior_indices":[393,394],"interior_values":[343,523],"sum":866,"residue":213},{"from_index":395,"to_index":401,"interior_indices":[396,397,398,399,400],"interior_values":[83,296,379,22,401],"sum":1181,"residue":528},{"from_index":401,"to_index":402,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":402,"to_index":403,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":403,"to_index":406,"interior_indices":[404,405],"interior_values":[112,53],"sum":165,"residue":165},{"from_index":406,"to_index":411,"interior_indices":[407,408,409,410],"interior_values":[218,383,601,331],"sum":1533,"residue":227},{"from_index":411,"to_index":415,"interior_indices":[412,413,414],"interior_values":[610,236,193],"sum":1039,"residue":386},{"from_index":415,"to_index":421,"interior_indices":[416,417,418,419,420],"interior_values":[622,398,367,112,479],"sum":1978,"residue":19},{"from_index":421,"to_index":422,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":422,"to_index":425,"interior_indices":[423,424],"interior_values":[355,119],"sum":474,"residue":474},{"from_index":425,"to_index":427,"interior_indices":[426],"interior_values":[593],"sum":593,"residue":593},{"from_index":427,"to_index":428,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":428,"to_index":434,"interior_indices":[429,430,431,432,433],"interior_values":[115,469,584,400,331],"sum":1899,"residue":593},{"from_index":434,"to_index":437,"interior_indices":[435,436],"interior_values":[409,487],"sum":896,"residue":243},{"from_index":437,"to_index":443,"interior_indices":[438,439,440,441,442],"interior_values":[77,320,397,64,461],"sum":1319,"residue":13},{"from_index":443,"to_index":444,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":444,"to_index":447,"interior_indices":[445,446],"interior_values":[205,538],"sum":743,"residue":90},{"from_index":447,"to_index":451,"interior_indices":[448,449,450],"interior_values":[628,65,40],"sum":733,"residue":80},{"from_index":451,"to_index":455,"interior_indices":[452,453,454],"interior_values":[145,250,395],"sum":790,"residue":137},{"from_index":455,"to_index":456,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":456,"to_index":459,"interior_indices":[457,458],"interior_values":[379,113],"sum":492,"residue":492},{"from_index":459,"to_index":461,"interior_indices":[460],"interior_values":[605],"sum":605,"residue":605},{"from_index":461,"to_index":462,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":462,"to_index":465,"interior_indices":[463,464],"interior_values":[187,583],"sum":770,"residue":117},{"from_index":465,"to_index":469,"interior_indices":[466,467,468],"interior_values":[47,164,211],"sum":422,"residue":422},{"from_index":469,"to_index":473,"interior_indices":[470,471,472],"interior_values":[586,308,241],"sum":1135,"residue":482},{"from_index":473,"to_index":475,"interior_indices":[474],"interior_values":[137],"sum":137,"residue":137},{"from_index":475,"to_index":479,"interior_indices":[476,477,478],"interior_values":[170,203,373],"sum":746,"residue":93},{"from_index":479,"to_index":481,"interior_indices":[480],"interior_values":[296],"sum":296,"residue":296},{"from_index":481,"to_index":483,"interior_indices":[482],"interior_values":[515],"sum":515,"residue":515},{"from_index":483,"to_index":485,"interior_indices":[484],"interior_values":[596],"sum":596,"residue":596},{"from_index":485,"to_index":496,"interior_indices":[486,487,488,489,490,491,492,493,494,495],"interior_values":[620,644,611,602,560,509,416,272,35,307],"sum":4576,"residue":5},{"from_index":496,"to_index":502,"interior_indices":[497,498,499,500,501],"interior_values":[649,338,334,19,353],"sum":1693,"residue":387},{"from_index":502,"to_index":503,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":503,"to_index":504,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":504,"to_index":505,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":505,"to_index":508,"interior_indices":[506,507],"interior_values":[307,170],"sum":477,"residue":477},{"from_index":508,"to_index":510,"interior_indices":[509],"interior_values":[647],"sum":647,"residue":647},{"from_index":510,"to_index":511,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":511,"to_index":514,"interior_indices":[512,513],"interior_values":[283,95],"sum":378,"residue":378},{"from_index":514,"to_index":516,"interior_indices":[515],"interior_values":[473],"sum":473,"residue":473},{"from_index":516,"to_index":517,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":517,"to_index":518,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":518,"to_index":519,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":519,"to_index":520,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":520,"to_index":528,"interior_indices":[521,522,523,524,525,526,527],"interior_values":[31,481,512,340,199,539,85],"sum":2187,"residue":228},{"from_index":528,"to_index":530,"interior_indices":[529],"interior_values":[56],"sum":56,"residue":56},{"from_index":530,"to_index":534,"interior_indices":[531,532,533],"interior_values":[83,110,193],"sum":386,"residue":386},{"from_index":534,"to_index":537,"interior_indices":[535,536],"interior_values":[496,146],"sum":642,"residue":642},{"from_index":537,"to_index":538,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":538,"to_index":542,"interior_indices":[539,540,541],"interior_values":[124,259,383],"sum":766,"residue":113},{"from_index":542,"to_index":543,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":543,"to_index":546,"interior_indices":[544,545],"interior_values":[361,80],"sum":441,"residue":441},{"from_index":546,"to_index":548,"interior_indices":[547],"interior_values":[521],"sum":521,"residue":521},{"from_index":548,"to_index":549,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":549,"to_index":550,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":550,"to_index":558,"interior_indices":[551,552,553,554,555,556,557],"interior_values":[10,496,506,349,202,551,100],"sum":2214,"residue":255},{"from_index":558,"to_index":560,"interior_indices":[559],"interior_values":[98],"sum":98,"residue":98},{"from_index":560,"to_index":569,"interior_indices":[561,562,563,564,565,566,567,568],"interior_values":[194,290,484,121,605,73,25,98],"sum":1890,"residue":584},{"from_index":569,"to_index":574,"interior_indices":[570,571,572,573],"interior_values":[221,344,565,256],"sum":1386,"residue":80},{"from_index":574,"to_index":577,"interior_indices":[575,576],"interior_values":[424,592],"sum":1016,"residue":363},{"from_index":577,"to_index":579,"interior_indices":[578],"interior_values":[302],"sum":302,"residue":302},{"from_index":579,"to_index":584,"interior_indices":[580,581,582,583],"interior_values":[314,326,640,313],"sum":1593,"residue":287},{"from_index":584,"to_index":588,"interior_indices":[585,586,587],"interior_values":[613,260,220],"sum":1093,"residue":440},{"from_index":588,"to_index":593,"interior_indices":[589,590,591,592],"interior_values":[47,527,574,448],"sum":1596,"residue":290},{"from_index":593,"to_index":598,"interior_indices":[594,595,596,597],"interior_values":[164,533,44,577],"sum":1318,"residue":12},{"from_index":598,"to_index":600,"interior_indices":[599],"interior_values":[545],"sum":545,"residue":545},{"from_index":600,"to_index":601,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":601,"to_index":604,"interior_indices":[602,603],"interior_values":[265,17],"sum":282,"residue":282},{"from_index":604,"to_index":610,"interior_indices":[605,606,607,608,609],"interior_values":[299,581,227,155,382],"sum":1644,"residue":338},{"from_index":610,"to_index":612,"interior_indices":[611],"interior_values":[266],"sum":266,"residue":266},{"from_index":612,"to_index":619,"interior_indices":[613,614,615,616,617,618],"interior_values":[416,566,329,242,571,160],"sum":2284,"residue":325},{"from_index":619,"to_index":626,"interior_indices":[620,621,622,623,624,625],"interior_values":[238,316,554,217,118,335],"sum":1778,"residue":472},{"from_index":626,"to_index":627,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":627,"to_index":628,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":628,"to_index":631,"interior_indices":[629,630],"interior_values":[70,5],"sum":75,"residue":75},{"from_index":631,"to_index":635,"interior_indices":[632,633,634],"interior_values":[80,155,235],"sum":470,"residue":470},{"from_index":635,"to_index":641,"interior_indices":[636,637,638,639,640],"interior_values":[625,362,334,43,377],"sum":1741,"residue":435},{"from_index":641,"to_index":642,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":642,"to_index":643,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":643,"to_index":646,"interior_indices":[644,645],"interior_values":[55,619],"sum":674,"residue":21},{"from_index":646,"to_index":649,"interior_indices":[647,648],"interior_values":[640,8],"sum":648,"residue":648},{"from_index":649,"to_index":650,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":650,"to_index":651,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":651,"to_index":654,"interior_indices":[652,653],"interior_values":[1,652],"sum":653,"residue":0},{"from_index":654,"to_index":657,"interior_indices":[655,656],"interior_values":[652,652],"sum":1304,"residue":651},{"from_index":657,"to_index":659,"interior_indices":[658],"interior_values":[650],"sum":650,"residue":650},{"from_index":659,"to_index":660,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":660,"to_index":665,"interior_indices":[661,662,663,664],"interior_values":[640,632,619,598],"sum":2489,"residue":530},{"from_index":665,"to_index":667,"interior_indices":[666],"interior_values":[509],"sum":509,"residue":509},{"from_index":667,"to_index":668,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":668,"to_index":673,"interior_indices":[669,670,671,672],"interior_values":[43,319,362,28],"sum":752,"residue":99},{"from_index":673,"to_index":676,"interior_indices":[674,675],"interior_values":[418,155],"sum":573,"residue":573},{"from_index":676,"to_index":677,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":677,"to_index":678,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":678,"to_index":681,"interior_indices":[679,680],"interior_values":[70,65],"sum":135,"residue":135},{"from_index":681,"to_index":686,"interior_indices":[682,683,684,685],"interior_values":[200,335,535,217],"sum":1287,"residue":634},{"from_index":686,"to_index":689,"interior_indices":[687,688],"interior_values":[316,415],"sum":731,"residue":78},{"from_index":689,"to_index":692,"interior_indices":[690,691],"interior_values":[493,571],"sum":1064,"residue":411},{"from_index":692,"to_index":694,"interior_indices":[693],"interior_values":[329],"sum":329,"residue":329},{"from_index":694,"to_index":700,"interior_indices":[695,696,697,698,699],"interior_values":[416,503,266,116,382],"sum":1683,"residue":377},{"from_index":700,"to_index":702,"interior_indices":[701],"interior_values":[227],"sum":227,"residue":227},{"from_index":702,"to_index":707,"interior_indices":[703,704,705,706],"interior_values":[299,371,17,388],"sum":1075,"residue":422},{"from_index":707,"to_index":712,"interior_indices":[708,709,710,711],"interior_values":[140,545,32,577],"sum":1294,"residue":641},{"from_index":712,"to_index":714,"interior_indices":[713],"interior_values":[533],"sum":533,"residue":533},{"from_index":714,"to_index":715,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":715,"to_index":718,"interior_indices":[716,717],"interior_values":[205,574],"sum":779,"residue":126},{"from_index":718,"to_index":722,"interior_indices":[719,720,721],"interior_values":[47,173,220],"sum":440,"residue":440},{"from_index":722,"to_index":728,"interior_indices":[723,724,725,726,727],"interior_values":[613,353,313,13,326],"sum":1618,"residue":312},{"from_index":728,"to_index":729,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":729,"to_index":730,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":730,"to_index":731,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":731,"to_index":738,"interior_indices":[732,733,734,735,736,737],"interior_values":[61,424,485,256,88,344],"sum":1658,"residue":352},{"from_index":738,"to_index":739,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":739,"to_index":740,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":740,"to_index":746,"interior_indices":[741,742,743,744,745],"interior_values":[25,580,605,532,484],"sum":2226,"residue":267},{"from_index":746,"to_index":752,"interior_indices":[747,748,749,750,751],"interior_values":[194,557,98,2,100],"sum":951,"residue":298},{"from_index":752,"to_index":759,"interior_indices":[753,754,755,756,757,758],"interior_values":[202,304,506,157,10,167],"sum":1346,"residue":40},{"from_index":759,"to_index":765,"interior_indices":[760,761,762,763,764],"interior_values":[344,521,212,80,292],"sum":1449,"residue":143},{"from_index":765,"to_index":771,"interior_indices":[766,767,768,769,770],"interior_values":[11,383,394,124,518],"sum":1430,"residue":124},{"from_index":771,"to_index":772,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":772,"to_index":776,"interior_indices":[773,774,775],"interior_values":[496,350,193],"sum":1039,"residue":386},{"from_index":776,"to_index":782,"interior_indices":[777,778,779,780,781],"interior_values":[83,626,56,29,85],"sum":879,"residue":226},{"from_index":782,"to_index":789,"interior_indices":[783,784,785,786,787,788],"interior_values":[199,313,512,172,31,203],"sum":1430,"residue":124},{"from_index":789,"to_index":791,"interior_indices":[790],"interior_values":[437],"sum":437,"residue":437},{"from_index":791,"to_index":797,"interior_indices":[792,793,794,795,796],"interior_values":[455,473,275,95,370],"sum":1668,"residue":362},{"from_index":797,"to_index":803,"interior_indices":[798,799,800,801,802],"interior_values":[182,647,176,170,346],"sum":1521,"residue":215},{"from_index":803,"to_index":805,"interior_indices":[804],"interior_values":[209],"sum":209,"residue":209},{"from_index":805,"to_index":810,"interior_indices":[806,807,808,809],"interior_values":[281,353,634,334],"sum":1602,"residue":296},{"from_index":810,"to_index":814,"interior_indices":[811,812,813],"interior_values":[649,311,307],"sum":1267,"residue":614},{"from_index":814,"to_index":816,"interior_indices":[815],"interior_values":[272],"sum":272,"residue":272},{"from_index":816,"to_index":818,"interior_indices":[817],"interior_values":[509],"sum":509,"residue":509},{"from_index":818,"to_index":820,"interior_indices":[819],"interior_values":[602],"sum":602,"residue":602},{"from_index":820,"to_index":822,"interior_indices":[821],"interior_values":[644],"sum":644,"residue":644},{"from_index":822,"to_index":823,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":823,"to_index":824,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":824,"to_index":825,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":825,"to_index":826,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":826,"to_index":827,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":827,"to_index":828,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":828,"to_index":829,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":829,"to_index":832,"interior_indices":[830,831],"interior_values":[280,203],"sum":483,"residue":483},{"from_index":832,"to_index":833,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":833,"to_index":834,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":834,"to_index":835,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":835,"to_index":839,"interior_indices":[836,837,838],"interior_values":[412,308,67],"sum":787,"residue":134},{"from_index":839,"to_index":842,"interior_indices":[840,841],"interior_values":[442,164],"sum":606,"residue":606},{"from_index":842,"to_index":843,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":843,"to_index":847,"interior_indices":[844,845,846],"interior_values":[70,187,257],"sum":514,"residue":514},{"from_index":847,"to_index":848,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":848,"to_index":849,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":849,"to_index":850,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":850,"to_index":853,"interior_indices":[851,852],"interior_values":[379,266],"sum":645,"residue":645},{"from_index":853,"to_index":854,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":854,"to_index":857,"interior_indices":[855,856],"interior_values":[250,508],"sum":758,"residue":105},{"from_index":857,"to_index":861,"interior_indices":[858,859,860],"interior_values":[613,65,25],"sum":703,"residue":50},{"from_index":861,"to_index":865,"interior_indices":[862,863,864],"interior_values":[115,205,320],"sum":640,"residue":640},{"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":[64,256,320],"sum":640,"residue":640},{"from_index":870,"to_index":871,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":871,"to_index":881,"interior_indices":[872,873,874,875,876,877,878,879,880],"interior_values":[166,409,575,331,253,584,184,115,299],"sum":2916,"residue":304},{"from_index":881,"to_index":882,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":882,"to_index":883,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":883,"to_index":884,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":884,"to_index":887,"interior_indices":[885,886],"interior_values":[355,236],"sum":591,"residue":591},{"from_index":887,"to_index":888,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":888,"to_index":893,"interior_indices":[889,890,891,892],"interior_values":[112,286,398,31],"sum":827,"residue":174},{"from_index":893,"to_index":897,"interior_indices":[894,895,896],"interior_values":[460,236,43],"sum":739,"residue":86},{"from_index":897,"to_index":900,"interior_indices":[898,899],"interior_values":[322,601],"sum":923,"residue":270},{"from_index":900,"to_index":905,"interior_indices":[901,902,903,904],"interior_values":[218,488,53,541],"sum":1300,"residue":647},{"from_index":905,"to_index":907,"interior_indices":[906],"interior_values":[482],"sum":482,"residue":482},{"from_index":907,"to_index":908,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":908,"to_index":912,"interior_indices":[909,910,911],"interior_values":[22,274,296],"sum":592,"residue":592},{"from_index":912,"to_index":913,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":913,"to_index":918,"interior_indices":[914,915,916,917],"interior_values":[130,343,473,163],"sum":1109,"residue":456},{"from_index":918,"to_index":920,"interior_indices":[919],"interior_values":[146],"sum":146,"residue":146},{"from_index":920,"to_index":925,"interior_indices":[921,922,923,924],"interior_values":[275,404,26,430],"sum":1135,"residue":482},{"from_index":925,"to_index":927,"interior_indices":[926],"interior_values":[233],"sum":233,"residue":233},{"from_index":927,"to_index":932,"interior_indices":[928,929,930,931],"interior_values":[269,305,574,226],"sum":1374,"residue":68},{"from_index":932,"to_index":935,"interior_indices":[933,934],"interior_values":[373,520],"sum":893,"residue":240},{"from_index":935,"to_index":944,"interior_indices":[936,937,938,939,940,941,942,943],"interior_values":[107,347,454,148,602,97,46,143],"sum":1944,"residue":638},{"from_index":944,"to_index":950,"interior_indices":[945,946,947,948,949],"interior_values":[332,521,200,68,268],"sum":1389,"residue":83},{"from_index":950,"to_index":954,"interior_indices":[951,952,953],"interior_values":[604,287,238],"sum":1129,"residue":476},{"from_index":954,"to_index":960,"interior_indices":[955,956,957,958,959],"interior_values":[110,635,92,74,166],"sum":1077,"residue":424},{"from_index":960,"to_index":963,"interior_indices":[961,962],"interior_values":[406,646],"sum":1052,"residue":399},{"from_index":963,"to_index":965,"interior_indices":[964],"interior_values":[392],"sum":392,"residue":392},{"from_index":965,"to_index":967,"interior_indices":[966],"interior_values":[530],"sum":530,"residue":530},{"from_index":967,"to_index":976,"interior_indices":[968,969,970,971,972,973,974,975],"interior_values":[545,560,452,359,158,517,22,539],"sum":3152,"residue":540},{"from_index":976,"to_index":977,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":977,"to_index":980,"interior_indices":[978,979],"interior_values":[355,149],"sum":504,"residue":504},{"from_index":980,"to_index":981,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":981,"to_index":982,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":982,"to_index":983,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":983,"to_index":986,"interior_indices":[984,985],"interior_values":[355,206],"sum":561,"residue":561},{"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":[22,136,158],"sum":316,"residue":316},{"from_index":991,"to_index":993,"interior_indices":[992],"interior_values":[452],"sum":452,"residue":452},{"from_index":993,"to_index":1002,"interior_indices":[994,995,996,997,998,999,1000,1001],"interior_values":[545,638,530,515,392,254,646,247],"sum":3767,"residue":502},{"from_index":1002,"to_index":1005,"interior_indices":[1003,1004],"interior_values":[487,74],"sum":561,"residue":561},{"from_index":1005,"to_index":1007,"interior_indices":[1006],"interior_values":[635],"sum":635,"residue":635},{"from_index":1007,"to_index":1008,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1008,"to_index":1012,"interior_indices":[1009,1010,1011],"interior_values":[415,287,49],"sum":751,"residue":98},{"from_index":1012,"to_index":1015,"interior_indices":[1013,1014],"interior_values":[385,68],"sum":453,"residue":453},{"from_index":1015,"to_index":1017,"interior_indices":[1016],"interior_values":[521],"sum":521,"residue":521},{"from_index":1017,"to_index":1018,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1018,"to_index":1019,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1019,"to_index":1025,"interior_indices":[1020,1021,1022,1023,1024],"interior_values":[46,556,602,505,454],"sum":2163,"residue":204},{"from_index":1025,"to_index":1030,"interior_indices":[1026,1027,1028,1029],"interior_values":[107,413,520,280],"sum":1320,"residue":14},{"from_index":1030,"to_index":1033,"interior_indices":[1031,1032],"interior_values":[427,574],"sum":1001,"residue":348},{"from_index":1033,"to_index":1039,"interior_indices":[1034,1035,1036,1037,1038],"interior_values":[269,617,233,197,430],"sum":1746,"residue":440},{"from_index":1039,"to_index":1041,"interior_indices":[1040],"interior_values":[404],"sum":404,"residue":404},{"from_index":1041,"to_index":1042,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1042,"to_index":1043,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1043,"to_index":1044,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1044,"to_index":1050,"interior_indices":[1045,1046,1047,1048,1049],"interior_values":[490,473,310,130,440],"sum":1843,"residue":537},{"from_index":1050,"to_index":1051,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1051,"to_index":1054,"interior_indices":[1052,1053],"interior_values":[274,631],"sum":905,"residue":252},{"from_index":1054,"to_index":1059,"interior_indices":[1055,1056,1057,1058],"interior_values":[230,482,59,541],"sum":1312,"residue":6},{"from_index":1059,"to_index":1061,"interior_indices":[1060],"interior_values":[488],"sum":488,"residue":488},{"from_index":1061,"to_index":1062,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1062,"to_index":1067,"interior_indices":[1063,1064,1065,1066],"interior_values":[52,322,374,43],"sum":791,"residue":138},{"from_index":1067,"to_index":1071,"interior_indices":[1068,1069,1070],"interior_values":[460,224,31],"sum":715,"residue":62},{"from_index":1071,"to_index":1074,"interior_indices":[1072,1073],"interior_values":[286,541],"sum":827,"residue":174},{"from_index":1074,"to_index":1078,"interior_indices":[1075,1076,1077],"interior_values":[62,236,298],"sum":596,"residue":596},{"from_index":1078,"to_index":1080,"interior_indices":[1079],"interior_values":[179],"sum":179,"residue":179},{"from_index":1080,"to_index":1085,"interior_indices":[1081,1082,1083,1084],"interior_values":[239,299,538,184],"sum":1260,"residue":607},{"from_index":1085,"to_index":1092,"interior_indices":[1086,1087,1088,1089,1090,1091],"interior_values":[253,322,575,244,166,410],"sum":1970,"residue":11},{"from_index":1092,"to_index":1093,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1093,"to_index":1096,"interior_indices":[1094,1095],"interior_values":[256,589],"sum":845,"residue":192},{"from_index":1096,"to_index":1103,"interior_indices":[1097,1098,1099,1100,1101,1102],"interior_values":[128,320,448,115,563,25],"sum":1599,"residue":293},{"from_index":1103,"to_index":1108,"interior_indices":[1104,1105,1106,1107],"interior_values":[613,548,508,403],"sum":2072,"residue":113},{"from_index":1108,"to_index":1112,"interior_indices":[1109,1110,1111],"interior_values":[8,266,274],"sum":548,"residue":548},{"from_index":1112,"to_index":1114,"interior_indices":[1113],"interior_values":[161],"sum":161,"residue":161},{"from_index":1114,"to_index":1120,"interior_indices":[1115,1116,1117,1118,1119],"interior_values":[209,257,466,70,536],"sum":1538,"residue":232},{"from_index":1120,"to_index":1121,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1121,"to_index":1125,"interior_indices":[1122,1123,1124],"interior_values":[442,278,67],"sum":787,"residue":134},{"from_index":1125,"to_index":1128,"interior_indices":[1126,1127],"interior_values":[412,104],"sum":516,"residue":516},{"from_index":1128,"to_index":1130,"interior_indices":[1129],"interior_values":[620],"sum":620,"residue":620},{"from_index":1130,"to_index":1131,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1131,"to_index":1134,"interior_indices":[1132,1133],"interior_values":[280,77],"sum":357,"residue":357},{"from_index":1134,"to_index":1136,"interior_indices":[1135],"interior_values":[434],"sum":434,"residue":434},{"from_index":1136,"to_index":1138,"interior_indices":[1137],"interior_values":[572],"sum":572,"residue":572},{"from_index":1138,"to_index":1140,"interior_indices":[1139],"interior_values":[629],"sum":629,"residue":629},{"from_index":1140,"to_index":1141,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1141,"to_index":1142,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1142,"to_index":1143,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1143,"to_index":1144,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1144,"to_index":1145,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1145,"to_index":1146,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1146,"to_index":1147,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1147,"to_index":1148,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1148,"to_index":1152,"interior_indices":[1149,1150,1151],"interior_values":[346,311,4],"sum":661,"residue":8},{"from_index":1152,"to_index":1155,"interior_indices":[1153,1154],"interior_values":[319,634],"sum":953,"residue":300},{"from_index":1155,"to_index":1161,"interior_indices":[1156,1157,1158,1159,1160],"interior_values":[281,581,209,137,346],"sum":1554,"residue":248},{"from_index":1161,"to_index":1163,"interior_indices":[1162],"interior_values":[176],"sum":176,"residue":176},{"from_index":1163,"to_index":1167,"interior_indices":[1164,1165,1166],"interior_values":[182,188,370],"sum":740,"residue":87},{"from_index":1167,"to_index":1169,"interior_indices":[1168],"interior_values":[275],"sum":275,"residue":275},{"from_index":1169,"to_index":1177,"interior_indices":[1170,1171,1172,1173,1174,1175,1176],"interior_values":[455,635,437,419,203,622,172],"sum":2943,"residue":331},{"from_index":1177,"to_index":1180,"interior_indices":[1178,1179],"interior_values":[313,454],"sum":767,"residue":114},{"from_index":1180,"to_index":1183,"interior_indices":[1181,1182],"interior_values":[568,29],"sum":597,"residue":597},{"from_index":1183,"to_index":1185,"interior_indices":[1184],"interior_values":[626],"sum":626,"residue":626},{"from_index":1185,"to_index":1186,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1186,"to_index":1190,"interior_indices":[1187,1188,1189],"interior_values":[460,350,157],"sum":967,"residue":314},{"from_index":1190,"to_index":1195,"interior_indices":[1191,1192,1193,1194],"interior_values":[11,518,529,394],"sum":1452,"residue":146},{"from_index":1195,"to_index":1199,"interior_indices":[1196,1197,1198],"interior_values":[11,281,292],"sum":584,"residue":584},{"from_index":1199,"to_index":1201,"interior_indices":[1200],"interior_values":[212],"sum":212,"residue":212},{"from_index":1201,"to_index":1207,"interior_indices":[1202,1203,1204,1205,1206],"interior_values":[344,476,167,643,157],"sum":1787,"residue":481},{"from_index":1207,"to_index":1210,"interior_indices":[1208,1209],"interior_values":[304,451],"sum":755,"residue":102},{"from_index":1210,"to_index":1213,"interior_indices":[1211,1212],"interior_values":[553,2],"sum":555,"residue":555},{"from_index":1213,"to_index":1215,"interior_indices":[1214],"interior_values":[557],"sum":557,"residue":557},{"from_index":1215,"to_index":1216,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1216,"to_index":1219,"interior_indices":[1217,1218],"interior_values":[169,532],"sum":701,"residue":48},{"from_index":1219,"to_index":1222,"interior_indices":[1220,1221],"interior_values":[580,628],"sum":1208,"residue":555},{"from_index":1222,"to_index":1224,"interior_indices":[1223],"interior_values":[530],"sum":530,"residue":530},{"from_index":1224,"to_index":1225,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1225,"to_index":1232,"interior_indices":[1226,1227,1228,1229,1230,1231],"interior_values":[88,397,485,229,61,290],"sum":1550,"residue":244},{"from_index":1232,"to_index":1234,"interior_indices":[1233],"interior_values":[641],"sum":641,"residue":641},{"from_index":1234,"to_index":1235,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1235,"to_index":1240,"interior_indices":[1236,1237,1238,1239],"interior_values":[13,340,353,40],"sum":746,"residue":93},{"from_index":1240,"to_index":1243,"interior_indices":[1241,1242],"interior_values":[433,173],"sum":606,"residue":606},{"from_index":1243,"to_index":1244,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1244,"to_index":1248,"interior_indices":[1245,1246,1247],"interior_values":[79,205,284],"sum":568,"residue":568},{"from_index":1248,"to_index":1249,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1249,"to_index":1250,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1250,"to_index":1253,"interior_indices":[1251,1252],"interior_values":[76,32],"sum":108,"residue":108},{"from_index":1253,"to_index":1257,"interior_indices":[1254,1255,1256],"interior_values":[140,248,388],"sum":776,"residue":123},{"from_index":1257,"to_index":1259,"interior_indices":[1258],"interior_values":[371],"sum":371,"residue":371},{"from_index":1259,"to_index":1260,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1260,"to_index":1261,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1261,"to_index":1262,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1262,"to_index":1265,"interior_indices":[1263,1264],"interior_values":[271,116],"sum":387,"residue":387},{"from_index":1265,"to_index":1267,"interior_indices":[1266],"interior_values":[503],"sum":503,"residue":503},{"from_index":1267,"to_index":1268,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1268,"to_index":1269,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1269,"to_index":1270,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1270,"to_index":1276,"interior_indices":[1271,1272,1273,1274,1275],"interior_values":[82,493,575,415,337],"sum":1902,"residue":596},{"from_index":1276,"to_index":1279,"interior_indices":[1277,1278],"interior_values":[436,535],"sum":971,"residue":318},{"from_index":1279,"to_index":1284,"interior_indices":[1280,1281,1282,1283],"interior_values":[200,518,65,583],"sum":1366,"residue":60},{"from_index":1284,"to_index":1286,"interior_indices":[1285],"interior_values":[578],"sum":578,"residue":578},{"from_index":1286,"to_index":1287,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1287,"to_index":1291,"interior_indices":[1288,1289,1290],"interior_values":[418,263,28],"sum":709,"residue":56},{"from_index":1291,"to_index":1294,"interior_indices":[1292,1293],"interior_values":[319,610],"sum":929,"residue":276},{"from_index":1294,"to_index":1302,"interior_indices":[1295,1296,1297,1298,1299,1300,1301],"interior_values":[233,509,89,598,34,632,13],"sum":2108,"residue":149},{"from_index":1302,"to_index":0,"interior_indices":[1303,1304,1305,1306,1307],"interior_values":[5,650,2,652,1],"sum":1310,"residue":4}],"minimal_cycle":[4,26,178,248,470,593,518,0,130,566,0,0,0,426,581,0,0,513,0,0,120,196,0,80,327,409,309,244,580,0,0,0,598,486,476,0,0,0,642,0,135,314,570,0,0,0,595,450,419,635,0,0,0,471,0,0,0,444,581,0,27,381,416,560,611,194,619,422,326,56,233,218,269,565,69,354,122,143,386,444,0,0,171,335,50,507,524,0,0,420,617,0,532,0,51,510,464,0,0,0,98,543,0,0,0,102,515,638,0,0,0,0,114,596,149,596,473,359,560,0,0,0,0,0,339,92,476,536,200,337,41,0,316,0,0,0,249,472,213,528,0,0,165,227,386,19,0,474,593,0,593,243,13,0,90,80,137,0,492,605,0,117,422,482,137,93,296,515,596,5,387,0,0,0,477,647,0,378,473,0,0,0,0,228,56,386,642,0,113,0,441,521,0,0,255,98,584,80,363,302,287,440,290,12,545,0,282,338,266,325,472,0,0,75,470,435,0,0,21,648,0,0,0,651,650,0,530,509,0,99,573,0,0,135,634,78,411,329,377,227,422,641,533,0,126,440,312,0,0,0,352,0,0,267,298,40,143,124,0,386,226,124,437,362,215,209,296,614,272,509,602,644,0,0,0,0,0,0,0,483,0,0,0,134,606,0,514,0,0,0,645,0,105,50,640,0,640,0,304,0,0,0,591,0,174,86,270,647,482,0,592,0,456,146,482,233,68,240,638,83,476,424,399,392,530,540,0,504,0,0,0,561,0,316,452,502,561,635,0,98,453,521,0,0,204,14,348,440,404,0,0,0,537,0,252,6,488,0,138,62,174,596,179,607,11,0,192,293,113,548,161,232,0,134,516,620,0,357,434,572,629,0,0,0,0,0,0,0,0,8,300,248,176,87,275,331,114,597,626,0,314,146,584,212,481,102,555,557,0,48,555,530,0,244,641,0,93,606,0,568,0,0,108,123,371,0,0,0,387,503,0,0,0,596,318,60,578,0,56,276,149,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1308,4],"start_interval_values":[1,1,2],"circle_positions":653,"cycle_length":442,"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":[0,436,872],"clock_positions":[1308,436,872],"native_values":[653,487,166],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,487,166],"beta":{"interval_sums":[141943,138768,144392],"interval_residues":[242,332,79],"display_cycle":[242,332,79],"intervals":[{"from_index":0,"to_index":436,"sum":141943,"residue":242},{"from_index":436,"to_index":872,"sum":138768,"residue":332},{"from_index":872,"to_index":0,"sum":144392,"residue":79}],"minimal_cycle":[242,332,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[1308,436],"circle_positions":653,"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":[1,437,873],"clock_positions":[1,437,873],"native_values":[1,243,409],"rotation_degrees":0.27522935779816515,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,243,409],"beta":{"interval_sums":[142429,138691,143983],"interval_residues":[75,255,323],"display_cycle":[75,255,323],"intervals":[{"from_index":1,"to_index":437,"sum":142429,"residue":75},{"from_index":437,"to_index":873,"sum":138691,"residue":255},{"from_index":873,"to_index":1,"sum":143983,"residue":323}],"minimal_cycle":[75,255,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[1,437],"circle_positions":653,"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":[2,438,874],"clock_positions":[2,438,874],"native_values":[1,77,575],"rotation_degrees":0.5504587155963303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,77,575],"beta":{"interval_sums":[142671,139023,143409],"interval_residues":[317,587,402],"display_cycle":[317,587,402],"intervals":[{"from_index":2,"to_index":438,"sum":142671,"residue":317},{"from_index":438,"to_index":874,"sum":139023,"residue":587},{"from_index":874,"to_index":2,"sum":143409,"residue":402}],"minimal_cycle":[317,587,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[2,438],"circle_positions":653,"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":[3,439,875],"clock_positions":[3,439,875],"native_values":[2,320,331],"rotation_degrees":0.8256880733944955,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,320,331],"beta":{"interval_sums":[142746,139278,143079],"interval_residues":[392,189,72],"display_cycle":[392,189,72],"intervals":[{"from_index":3,"to_index":439,"sum":142746,"residue":392},{"from_index":439,"to_index":875,"sum":139278,"residue":189},{"from_index":875,"to_index":3,"sum":143079,"residue":72}],"minimal_cycle":[392,189,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[3,439],"circle_positions":653,"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":[4,440,876],"clock_positions":[4,440,876],"native_values":[3,397,253],"rotation_degrees":1.1009174311926606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,397,253],"beta":{"interval_sums":[143063,139212,142828],"interval_residues":[56,123,474],"display_cycle":[56,123,474],"intervals":[{"from_index":4,"to_index":440,"sum":143063,"residue":56},{"from_index":440,"to_index":876,"sum":139212,"residue":123},{"from_index":876,"to_index":4,"sum":142828,"residue":474}],"minimal_cycle":[56,123,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[4,440],"circle_positions":653,"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":[5,441,877],"clock_positions":[5,441,877],"native_values":[5,64,584],"rotation_degrees":1.3761467889908257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,64,584],"beta":{"interval_sums":[143455,139401,142247],"interval_residues":[448,312,546],"display_cycle":[448,312,546],"intervals":[{"from_index":5,"to_index":441,"sum":143455,"residue":448},{"from_index":441,"to_index":877,"sum":139401,"residue":312},{"from_index":877,"to_index":5,"sum":142247,"residue":546}],"minimal_cycle":[448,312,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[5,441],"circle_positions":653,"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":[6,442,878],"clock_positions":[6,442,878],"native_values":[8,461,184],"rotation_degrees":1.651376146788991,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,461,184],"beta":{"interval_sums":[143511,139524,142068],"interval_residues":[504,435,367],"display_cycle":[504,435,367],"intervals":[{"from_index":6,"to_index":442,"sum":143511,"residue":504},{"from_index":442,"to_index":878,"sum":139524,"residue":435},{"from_index":878,"to_index":6,"sum":142068,"residue":367}],"minimal_cycle":[504,435,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[6,442],"circle_positions":653,"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":[7,443,879],"clock_positions":[7,443,879],"native_values":[13,525,115],"rotation_degrees":1.926605504587156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,525,115],"beta":{"interval_sums":[143959,139183,141961],"interval_residues":[299,94,260],"display_cycle":[299,94,260],"intervals":[{"from_index":7,"to_index":443,"sum":143959,"residue":299},{"from_index":443,"to_index":879,"sum":139183,"residue":94},{"from_index":879,"to_index":7,"sum":141961,"residue":260}],"minimal_cycle":[299,94,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[7,443],"circle_positions":653,"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":[8,444,880],"clock_positions":[8,444,880],"native_values":[21,333,299],"rotation_degrees":2.2018348623853212,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,333,299],"beta":{"interval_sums":[144463,138965,141675],"interval_residues":[150,529,627],"display_cycle":[150,529,627],"intervals":[{"from_index":8,"to_index":444,"sum":144463,"residue":150},{"from_index":444,"to_index":880,"sum":138965,"residue":529},{"from_index":880,"to_index":8,"sum":141675,"residue":627}],"minimal_cycle":[150,529,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[8,444],"circle_positions":653,"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":[9,445,881],"clock_positions":[9,445,881],"native_values":[34,205,414],"rotation_degrees":2.477064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,205,414],"beta":{"interval_sums":[144762,139059,141282],"interval_residues":[449,623,234],"display_cycle":[449,623,234],"intervals":[{"from_index":9,"to_index":445,"sum":144762,"residue":449},{"from_index":445,"to_index":881,"sum":139059,"residue":623},{"from_index":881,"to_index":9,"sum":141282,"residue":234}],"minimal_cycle":[449,623,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[9,445],"circle_positions":653,"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":[10,446,882],"clock_positions":[10,446,882],"native_values":[55,538,60],"rotation_degrees":2.7522935779816513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,538,60],"beta":{"interval_sums":[144912,138935,141256],"interval_residues":[599,499,208],"display_cycle":[599,499,208],"intervals":[{"from_index":10,"to_index":446,"sum":144912,"residue":599},{"from_index":446,"to_index":882,"sum":138935,"residue":499},{"from_index":882,"to_index":10,"sum":141256,"residue":208}],"minimal_cycle":[599,499,208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[10,446],"circle_positions":653,"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":[11,447,883],"clock_positions":[11,447,883],"native_values":[89,90,474],"rotation_degrees":3.0275229357798166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,90,474],"beta":{"interval_sums":[145361,138905,140837],"interval_residues":[395,469,442],"display_cycle":[395,469,442],"intervals":[{"from_index":11,"to_index":447,"sum":145361,"residue":395},{"from_index":447,"to_index":883,"sum":138905,"residue":469},{"from_index":883,"to_index":11,"sum":140837,"residue":442}],"minimal_cycle":[395,469,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[11,447],"circle_positions":653,"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":[12,448,884],"clock_positions":[12,448,884],"native_values":[144,628,534],"rotation_degrees":3.302752293577982,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,628,534],"beta":{"interval_sums":[145307,138751,140392],"interval_residues":[341,315,650],"display_cycle":[341,315,650],"intervals":[{"from_index":12,"to_index":448,"sum":145307,"residue":341},{"from_index":448,"to_index":884,"sum":138751,"residue":315},{"from_index":884,"to_index":12,"sum":140392,"residue":650}],"minimal_cycle":[341,315,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[12,448],"circle_positions":653,"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":[13,449,885],"clock_positions":[13,449,885],"native_values":[233,65,355],"rotation_degrees":3.5779816513761467,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,65,355],"beta":{"interval_sums":[145702,139220,140181],"interval_residues":[83,131,439],"display_cycle":[83,131,439],"intervals":[{"from_index":13,"to_index":449,"sum":145702,"residue":83},{"from_index":449,"to_index":885,"sum":139220,"residue":131},{"from_index":885,"to_index":13,"sum":140181,"residue":439}],"minimal_cycle":[83,131,439],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":83,"start_interval_clock_positions":[13,449],"circle_positions":653,"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":[14,450,886],"clock_positions":[14,450,886],"native_values":[377,40,236],"rotation_degrees":3.853211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,40,236],"beta":{"interval_sums":[145390,139535,140178],"interval_residues":[424,446,436],"display_cycle":[424,446,436],"intervals":[{"from_index":14,"to_index":450,"sum":145390,"residue":424},{"from_index":450,"to_index":886,"sum":139535,"residue":446},{"from_index":886,"to_index":14,"sum":140178,"residue":436}],"minimal_cycle":[424,446,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[14,450],"circle_positions":653,"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":[15,451,887],"clock_positions":[15,451,887],"native_values":[610,105,591],"rotation_degrees":4.128440366972477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,105,591],"beta":{"interval_sums":[144820,139666,139964],"interval_residues":[507,577,222],"display_cycle":[507,577,222],"intervals":[{"from_index":15,"to_index":451,"sum":144820,"residue":507},{"from_index":451,"to_index":887,"sum":139666,"residue":577},{"from_index":887,"to_index":15,"sum":139964,"residue":222}],"minimal_cycle":[507,577,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[15,451],"circle_positions":653,"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":[16,452,888],"clock_positions":[16,452,888],"native_values":[334,145,174],"rotation_degrees":4.4036697247706424,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,145,174],"beta":{"interval_sums":[144591,140112,140400],"interval_residues":[278,370,5],"display_cycle":[278,370,5],"intervals":[{"from_index":16,"to_index":452,"sum":144591,"residue":278},{"from_index":452,"to_index":888,"sum":140112,"residue":370},{"from_index":888,"to_index":16,"sum":140400,"residue":5}],"minimal_cycle":[278,370,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[16,452],"circle_positions":653,"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":[17,453,889],"clock_positions":[17,453,889],"native_values":[291,250,112],"rotation_degrees":4.678899082568807,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,250,112],"beta":{"interval_sums":[144445,140036,140622],"interval_residues":[132,294,227],"display_cycle":[132,294,227],"intervals":[{"from_index":17,"to_index":453,"sum":144445,"residue":132},{"from_index":453,"to_index":889,"sum":140036,"residue":294},{"from_index":889,"to_index":17,"sum":140622,"residue":227}],"minimal_cycle":[132,294,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[17,453],"circle_positions":653,"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":[18,454,890],"clock_positions":[18,454,890],"native_values":[625,395,286],"rotation_degrees":4.954128440366972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,395,286],"beta":{"interval_sums":[144070,139753,140627],"interval_residues":[410,11,232],"display_cycle":[410,11,232],"intervals":[{"from_index":18,"to_index":454,"sum":144070,"residue":410},{"from_index":454,"to_index":890,"sum":139753,"residue":11},{"from_index":890,"to_index":18,"sum":140627,"residue":232}],"minimal_cycle":[410,11,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[18,454],"circle_positions":653,"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":[19,455,891],"clock_positions":[19,455,891],"native_values":[263,645,398],"rotation_degrees":5.229357798165138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,645,398],"beta":{"interval_sums":[144202,139394,140854],"interval_residues":[542,305,459],"display_cycle":[542,305,459],"intervals":[{"from_index":19,"to_index":455,"sum":144202,"residue":542},{"from_index":455,"to_index":891,"sum":139394,"residue":305},{"from_index":891,"to_index":19,"sum":140854,"residue":459}],"minimal_cycle":[542,305,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[19,455],"circle_positions":653,"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":[20,456,892],"clock_positions":[20,456,892],"native_values":[235,387,31],"rotation_degrees":5.504587155963303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,387,31],"beta":{"interval_sums":[144612,139405,141086],"interval_residues":[299,316,38],"display_cycle":[299,316,38],"intervals":[{"from_index":20,"to_index":456,"sum":144612,"residue":299},{"from_index":456,"to_index":892,"sum":139405,"residue":316},{"from_index":892,"to_index":20,"sum":141086,"residue":38}],"minimal_cycle":[299,316,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[20,456],"circle_positions":653,"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":[21,457,893],"clock_positions":[21,457,893],"native_values":[498,379,429],"rotation_degrees":5.779816513761468,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,379,429],"beta":{"interval_sums":[144501,139057,140892],"interval_residues":[188,621,497],"display_cycle":[188,621,497],"intervals":[{"from_index":21,"to_index":457,"sum":144501,"residue":188},{"from_index":457,"to_index":893,"sum":139057,"residue":621},{"from_index":893,"to_index":21,"sum":140892,"residue":497}],"minimal_cycle":[188,621,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[21,457],"circle_positions":653,"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":[22,458,894],"clock_positions":[22,458,894],"native_values":[80,113,460],"rotation_degrees":6.055045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,113,460],"beta":{"interval_sums":[144800,139373,140930],"interval_residues":[487,284,535],"display_cycle":[487,284,535],"intervals":[{"from_index":22,"to_index":458,"sum":144800,"residue":487},{"from_index":458,"to_index":894,"sum":139373,"residue":284},{"from_index":894,"to_index":22,"sum":140930,"residue":535}],"minimal_cycle":[487,284,535],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[22,458],"circle_positions":653,"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":[23,459,895],"clock_positions":[23,459,895],"native_values":[578,492,236],"rotation_degrees":6.330275229357798,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,492,236],"beta":{"interval_sums":[144335,139341,140774],"interval_residues":[22,252,379],"display_cycle":[22,252,379],"intervals":[{"from_index":23,"to_index":459,"sum":144335,"residue":22},{"from_index":459,"to_index":895,"sum":139341,"residue":252},{"from_index":895,"to_index":23,"sum":140774,"residue":379}],"minimal_cycle":[22,252,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[23,459],"circle_positions":653,"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":[24,460,896],"clock_positions":[24,460,896],"native_values":[5,605,43],"rotation_degrees":6.605504587155964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,605,43],"beta":{"interval_sums":[144822,138972,141309],"interval_residues":[509,536,261],"display_cycle":[509,536,261],"intervals":[{"from_index":24,"to_index":460,"sum":144822,"residue":509},{"from_index":460,"to_index":896,"sum":138972,"residue":536},{"from_index":896,"to_index":24,"sum":141309,"residue":261}],"minimal_cycle":[509,536,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[24,460],"circle_positions":653,"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":[25,461,897],"clock_positions":[25,461,897],"native_values":[583,444,279],"rotation_degrees":6.8807339449541285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,444,279],"beta":{"interval_sums":[144844,138571,141035],"interval_residues":[531,135,640],"display_cycle":[531,135,640],"intervals":[{"from_index":25,"to_index":461,"sum":144844,"residue":531},{"from_index":461,"to_index":897,"sum":138571,"residue":135},{"from_index":897,"to_index":25,"sum":141035,"residue":640}],"minimal_cycle":[531,135,640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":531,"start_interval_clock_positions":[25,461],"circle_positions":653,"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":[26,462,898],"clock_positions":[26,462,898],"native_values":[588,396,322],"rotation_degrees":7.155963302752293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,396,322],"beta":{"interval_sums":[144700,138454,141296],"interval_residues":[387,18,248],"display_cycle":[387,18,248],"intervals":[{"from_index":26,"to_index":462,"sum":144700,"residue":387},{"from_index":462,"to_index":898,"sum":138454,"residue":18},{"from_index":898,"to_index":26,"sum":141296,"residue":248}],"minimal_cycle":[387,18,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[26,462],"circle_positions":653,"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":[27,463,899],"clock_positions":[27,463,899],"native_values":[518,187,601],"rotation_degrees":7.431192660550459,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[518,187,601],"beta":{"interval_sums":[144578,138589,141283],"interval_residues":[265,153,235],"display_cycle":[265,153,235],"intervals":[{"from_index":27,"to_index":463,"sum":144578,"residue":265},{"from_index":463,"to_index":899,"sum":138589,"residue":153},{"from_index":899,"to_index":27,"sum":141283,"residue":235}],"minimal_cycle":[265,153,235],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[27,463],"circle_positions":653,"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":[28,464,900],"clock_positions":[28,464,900],"native_values":[453,583,270],"rotation_degrees":7.706422018348624,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,583,270],"beta":{"interval_sums":[144312,138607,141531],"interval_residues":[652,171,483],"display_cycle":[652,171,483],"intervals":[{"from_index":28,"to_index":464,"sum":144312,"residue":652},{"from_index":464,"to_index":900,"sum":138607,"residue":171},{"from_index":900,"to_index":28,"sum":141531,"residue":483}],"minimal_cycle":[652,171,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[28,464],"circle_positions":653,"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":[29,465,901],"clock_positions":[29,465,901],"native_values":[318,117,218],"rotation_degrees":7.981651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,117,218],"beta":{"interval_sums":[144577,138760,141766],"interval_residues":[264,324,65],"display_cycle":[264,324,65],"intervals":[{"from_index":29,"to_index":465,"sum":144577,"residue":264},{"from_index":465,"to_index":901,"sum":138760,"residue":324},{"from_index":901,"to_index":29,"sum":141766,"residue":65}],"minimal_cycle":[264,324,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[29,465],"circle_positions":653,"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":[30,466,902],"clock_positions":[30,466,902],"native_values":[118,47,488],"rotation_degrees":8.256880733944953,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[118,47,488],"beta":{"interval_sums":[144576,138931,141596],"interval_residues":[263,495,548],"display_cycle":[263,495,548],"intervals":[{"from_index":30,"to_index":466,"sum":144576,"residue":263},{"from_index":466,"to_index":902,"sum":138931,"residue":495},{"from_index":902,"to_index":30,"sum":141596,"residue":548}],"minimal_cycle":[263,495,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[30,466],"circle_positions":653,"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":[31,467,903],"clock_positions":[31,467,903],"native_values":[436,164,53],"rotation_degrees":8.53211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,164,53],"beta":{"interval_sums":[144187,139255,141661],"interval_residues":[527,166,613],"display_cycle":[527,166,613],"intervals":[{"from_index":31,"to_index":467,"sum":144187,"residue":527},{"from_index":467,"to_index":903,"sum":139255,"residue":166},{"from_index":903,"to_index":31,"sum":141661,"residue":613}],"minimal_cycle":[527,166,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":527,"start_interval_clock_positions":[31,467],"circle_positions":653,"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":[32,468,904],"clock_positions":[32,468,904],"native_values":[554,211,541],"rotation_degrees":8.807339449541285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[554,211,541],"beta":{"interval_sums":[143797,139097,141556],"interval_residues":[137,8,508],"display_cycle":[137,8,508],"intervals":[{"from_index":32,"to_index":468,"sum":143797,"residue":137},{"from_index":468,"to_index":904,"sum":139097,"residue":8},{"from_index":904,"to_index":32,"sum":141556,"residue":508}],"minimal_cycle":[137,8,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[32,468],"circle_positions":653,"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":[33,469,905],"clock_positions":[33,469,905],"native_values":[337,375,594],"rotation_degrees":9.082568807339449,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,375,594],"beta":{"interval_sums":[143671,139263,141516],"interval_residues":[11,174,468],"display_cycle":[11,174,468],"intervals":[{"from_index":33,"to_index":469,"sum":143671,"residue":11},{"from_index":469,"to_index":905,"sum":139263,"residue":174},{"from_index":905,"to_index":33,"sum":141516,"residue":468}],"minimal_cycle":[11,174,468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[33,469],"circle_positions":653,"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":[34,470,906],"clock_positions":[34,470,906],"native_values":[238,586,482],"rotation_degrees":9.357798165137615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,586,482],"beta":{"interval_sums":[143808,139271,141371],"interval_residues":[148,182,323],"display_cycle":[148,182,323],"intervals":[{"from_index":34,"to_index":470,"sum":143808,"residue":148},{"from_index":470,"to_index":906,"sum":139271,"residue":182},{"from_index":906,"to_index":34,"sum":141371,"residue":323}],"minimal_cycle":[148,182,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[34,470],"circle_positions":653,"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":[35,471,907],"clock_positions":[35,471,907],"native_values":[575,308,423],"rotation_degrees":9.63302752293578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,308,423],"beta":{"interval_sums":[143819,139445,141186],"interval_residues":[159,356,138],"display_cycle":[159,356,138],"intervals":[{"from_index":35,"to_index":471,"sum":143819,"residue":159},{"from_index":471,"to_index":907,"sum":139445,"residue":356},{"from_index":907,"to_index":35,"sum":141186,"residue":138}],"minimal_cycle":[159,356,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[35,471],"circle_positions":653,"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":[36,472,908],"clock_positions":[36,472,908],"native_values":[160,241,252],"rotation_degrees":9.908256880733944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[160,241,252],"beta":{"interval_sums":[143967,139627,141509],"interval_residues":[307,538,461],"display_cycle":[307,538,461],"intervals":[{"from_index":36,"to_index":472,"sum":143967,"residue":307},{"from_index":472,"to_index":908,"sum":139627,"residue":538},{"from_index":908,"to_index":36,"sum":141509,"residue":461}],"minimal_cycle":[307,538,461],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[36,472],"circle_positions":653,"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":[37,473,909],"clock_positions":[37,473,909],"native_values":[82,549,22],"rotation_degrees":10.18348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[82,549,22],"beta":{"interval_sums":[144126,139330,141647],"interval_residues":[466,241,599],"display_cycle":[466,241,599],"intervals":[{"from_index":37,"to_index":473,"sum":144126,"residue":466},{"from_index":473,"to_index":909,"sum":139330,"residue":241},{"from_index":909,"to_index":37,"sum":141647,"residue":599}],"minimal_cycle":[466,241,599],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[37,473],"circle_positions":653,"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":[38,474,910],"clock_positions":[38,474,910],"native_values":[242,137,274],"rotation_degrees":10.458715596330276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[242,137,274],"beta":{"interval_sums":[144433,139215,141455],"interval_residues":[120,126,407],"display_cycle":[120,126,407],"intervals":[{"from_index":38,"to_index":474,"sum":144433,"residue":120},{"from_index":474,"to_index":910,"sum":139215,"residue":126},{"from_index":910,"to_index":38,"sum":141455,"residue":407}],"minimal_cycle":[120,126,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[38,474],"circle_positions":653,"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":[39,475,911],"clock_positions":[39,475,911],"native_values":[324,33,296],"rotation_degrees":10.73394495412844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,33,296],"beta":{"interval_sums":[144246,139456,141401],"interval_residues":[586,367,353],"display_cycle":[586,367,353],"intervals":[{"from_index":39,"to_index":475,"sum":144246,"residue":586},{"from_index":475,"to_index":911,"sum":139456,"residue":367},{"from_index":911,"to_index":39,"sum":141401,"residue":353}],"minimal_cycle":[586,367,353],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[39,475],"circle_positions":653,"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":[40,476,912],"clock_positions":[40,476,912],"native_values":[566,170,570],"rotation_degrees":11.009174311926605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,170,570],"beta":{"interval_sums":[143713,139582,141155],"interval_residues":[53,493,107],"display_cycle":[53,493,107],"intervals":[{"from_index":40,"to_index":476,"sum":143713,"residue":53},{"from_index":476,"to_index":912,"sum":139582,"residue":493},{"from_index":912,"to_index":40,"sum":141155,"residue":107}],"minimal_cycle":[53,493,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[40,476],"circle_positions":653,"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":[41,477,913],"clock_positions":[41,477,913],"native_values":[237,203,213],"rotation_degrees":11.284403669724771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,203,213],"beta":{"interval_sums":[143646,139949,141508],"interval_residues":[639,207,460],"display_cycle":[639,207,460],"intervals":[{"from_index":41,"to_index":477,"sum":143646,"residue":639},{"from_index":477,"to_index":913,"sum":139949,"residue":207},{"from_index":913,"to_index":41,"sum":141508,"residue":460}],"minimal_cycle":[639,207,460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[41,477],"circle_positions":653,"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":[42,478,914],"clock_positions":[42,478,914],"native_values":[150,373,130],"rotation_degrees":11.559633027522937,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,373,130],"beta":{"interval_sums":[143699,139789,141615],"interval_residues":[39,47,567],"display_cycle":[39,47,567],"intervals":[{"from_index":42,"to_index":478,"sum":143699,"residue":39},{"from_index":478,"to_index":914,"sum":139789,"residue":47},{"from_index":914,"to_index":42,"sum":141615,"residue":567}],"minimal_cycle":[39,47,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[42,478],"circle_positions":653,"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":[43,479,915],"clock_positions":[43,479,915],"native_values":[387,576,343],"rotation_degrees":11.8348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,576,343],"beta":{"interval_sums":[143685,139343,141422],"interval_residues":[25,254,374],"display_cycle":[25,254,374],"intervals":[{"from_index":43,"to_index":479,"sum":143685,"residue":25},{"from_index":479,"to_index":915,"sum":139343,"residue":254},{"from_index":915,"to_index":43,"sum":141422,"residue":374}],"minimal_cycle":[25,254,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[43,479],"circle_positions":653,"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":[44,480,916],"clock_positions":[44,480,916],"native_values":[537,296,473],"rotation_degrees":12.110091743119266,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,296,473],"beta":{"interval_sums":[143724,139390,141336],"interval_residues":[64,301,288],"display_cycle":[64,301,288],"intervals":[{"from_index":44,"to_index":480,"sum":143724,"residue":64},{"from_index":480,"to_index":916,"sum":139390,"residue":301},{"from_index":916,"to_index":44,"sum":141336,"residue":288}],"minimal_cycle":[64,301,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[44,480],"circle_positions":653,"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":[45,481,917],"clock_positions":[45,481,917],"native_values":[271,219,163],"rotation_degrees":12.385321100917432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,219,163],"beta":{"interval_sums":[143749,139644,141710],"interval_residues":[89,555,9],"display_cycle":[89,555,9],"intervals":[{"from_index":45,"to_index":481,"sum":143749,"residue":89},{"from_index":481,"to_index":917,"sum":139644,"residue":555},{"from_index":917,"to_index":45,"sum":141710,"residue":9}],"minimal_cycle":[89,555,9],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[45,481],"circle_positions":653,"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":[46,482,918],"clock_positions":[46,482,918],"native_values":[155,515,636],"rotation_degrees":12.660550458715596,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,515,636],"beta":{"interval_sums":[143813,139292,141345],"interval_residues":[153,203,297],"display_cycle":[153,203,297],"intervals":[{"from_index":46,"to_index":482,"sum":143813,"residue":153},{"from_index":482,"to_index":918,"sum":139292,"residue":203},{"from_index":918,"to_index":46,"sum":141345,"residue":297}],"minimal_cycle":[153,203,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[46,482],"circle_positions":653,"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":[47,483,919],"clock_positions":[47,483,919],"native_values":[426,81,146],"rotation_degrees":12.935779816513762,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,81,146],"beta":{"interval_sums":[143902,139847,141354],"interval_residues":[242,105,306],"display_cycle":[242,105,306],"intervals":[{"from_index":47,"to_index":483,"sum":143902,"residue":242},{"from_index":483,"to_index":919,"sum":139847,"residue":105},{"from_index":919,"to_index":47,"sum":141354,"residue":306}],"minimal_cycle":[242,105,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[47,483],"circle_positions":653,"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":[48,484,920],"clock_positions":[48,484,920],"native_values":[581,596,129],"rotation_degrees":13.211009174311927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,596,129],"beta":{"interval_sums":[143402,139397,141651],"interval_residues":[395,308,603],"display_cycle":[395,308,603],"intervals":[{"from_index":48,"to_index":484,"sum":143402,"residue":395},{"from_index":484,"to_index":920,"sum":139397,"residue":308},{"from_index":920,"to_index":48,"sum":141651,"residue":603}],"minimal_cycle":[395,308,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[48,484],"circle_positions":653,"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":[49,485,921],"clock_positions":[49,485,921],"native_values":[354,24,275],"rotation_degrees":13.486238532110091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,24,275],"beta":{"interval_sums":[143644,139502,141957],"interval_residues":[637,413,256],"display_cycle":[637,413,256],"intervals":[{"from_index":49,"to_index":485,"sum":143644,"residue":637},{"from_index":485,"to_index":921,"sum":139502,"residue":413},{"from_index":921,"to_index":49,"sum":141957,"residue":256}],"minimal_cycle":[637,413,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":637,"start_interval_clock_positions":[49,485],"circle_positions":653,"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":[50,486,922],"clock_positions":[50,486,922],"native_values":[282,620,404],"rotation_degrees":13.761467889908257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,620,404],"beta":{"interval_sums":[143386,139157,141907],"interval_residues":[379,68,206],"display_cycle":[379,68,206],"intervals":[{"from_index":50,"to_index":486,"sum":143386,"residue":379},{"from_index":486,"to_index":922,"sum":139157,"residue":68},{"from_index":922,"to_index":50,"sum":141907,"residue":206}],"minimal_cycle":[379,68,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[50,486],"circle_positions":653,"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":[51,487,923],"clock_positions":[51,487,923],"native_values":[636,644,26],"rotation_degrees":14.036697247706423,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[636,644,26],"beta":{"interval_sums":[143370,138917,142163],"interval_residues":[363,481,462],"display_cycle":[363,481,462],"intervals":[{"from_index":51,"to_index":487,"sum":143370,"residue":363},{"from_index":487,"to_index":923,"sum":138917,"residue":481},{"from_index":923,"to_index":51,"sum":142163,"residue":462}],"minimal_cycle":[363,481,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[51,487],"circle_positions":653,"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":[52,488,924],"clock_positions":[52,488,924],"native_values":[265,611,430],"rotation_degrees":14.311926605504587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,611,430],"beta":{"interval_sums":[143749,138332,142369],"interval_residues":[89,549,15],"display_cycle":[89,549,15],"intervals":[{"from_index":52,"to_index":488,"sum":143749,"residue":89},{"from_index":488,"to_index":924,"sum":138332,"residue":549},{"from_index":924,"to_index":52,"sum":142369,"residue":15}],"minimal_cycle":[89,549,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[52,488],"circle_positions":653,"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":[53,489,925],"clock_positions":[53,489,925],"native_values":[248,602,456],"rotation_degrees":14.587155963302752,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,602,456],"beta":{"interval_sums":[144112,138160,142178],"interval_residues":[452,377,477],"display_cycle":[452,377,477],"intervals":[{"from_index":53,"to_index":489,"sum":144112,"residue":452},{"from_index":489,"to_index":925,"sum":138160,"residue":377},{"from_index":925,"to_index":53,"sum":142178,"residue":477}],"minimal_cycle":[452,377,477],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[53,489],"circle_positions":653,"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":[54,490,926],"clock_positions":[54,490,926],"native_values":[513,560,233],"rotation_degrees":14.862385321100918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,560,233],"beta":{"interval_sums":[144201,138056,142193],"interval_residues":[541,273,492],"display_cycle":[541,273,492],"intervals":[{"from_index":54,"to_index":490,"sum":144201,"residue":541},{"from_index":490,"to_index":926,"sum":138056,"residue":273},{"from_index":926,"to_index":54,"sum":142193,"residue":492}],"minimal_cycle":[541,273,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":541,"start_interval_clock_positions":[54,490],"circle_positions":653,"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":[55,491,927],"clock_positions":[55,491,927],"native_values":[108,509,36],"rotation_degrees":15.137614678899082,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,509,36],"beta":{"interval_sums":[144653,137780,142670],"interval_residues":[340,650,316],"display_cycle":[340,650,316],"intervals":[{"from_index":55,"to_index":491,"sum":144653,"residue":340},{"from_index":491,"to_index":927,"sum":137780,"residue":650},{"from_index":927,"to_index":55,"sum":142670,"residue":316}],"minimal_cycle":[340,650,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[55,491],"circle_positions":653,"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":[56,492,928],"clock_positions":[56,492,928],"native_values":[621,416,269],"rotation_degrees":15.412844036697248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,416,269],"beta":{"interval_sums":[144541,137400,142509],"interval_residues":[228,270,155],"display_cycle":[228,270,155],"intervals":[{"from_index":56,"to_index":492,"sum":144541,"residue":228},{"from_index":492,"to_index":928,"sum":137400,"residue":270},{"from_index":928,"to_index":56,"sum":142509,"residue":155}],"minimal_cycle":[228,270,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[56,492],"circle_positions":653,"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":[57,493,929],"clock_positions":[57,493,929],"native_values":[76,272,305],"rotation_degrees":15.688073394495413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,272,305],"beta":{"interval_sums":[144881,137397,142825],"interval_residues":[568,267,471],"display_cycle":[568,267,471],"intervals":[{"from_index":57,"to_index":493,"sum":144881,"residue":568},{"from_index":493,"to_index":929,"sum":137397,"residue":267},{"from_index":929,"to_index":57,"sum":142825,"residue":471}],"minimal_cycle":[568,267,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[57,493],"circle_positions":653,"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":[58,494,930],"clock_positions":[58,494,930],"native_values":[44,35,574],"rotation_degrees":15.963302752293577,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,35,574],"beta":{"interval_sums":[145109,137667,142327],"interval_residues":[143,537,626],"display_cycle":[143,537,626],"intervals":[{"from_index":58,"to_index":494,"sum":145109,"residue":143},{"from_index":494,"to_index":930,"sum":137667,"residue":537},{"from_index":930,"to_index":58,"sum":142327,"residue":626}],"minimal_cycle":[143,537,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[58,494],"circle_positions":653,"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":[59,495,931],"clock_positions":[59,495,931],"native_values":[120,307,226],"rotation_degrees":16.238532110091743,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,307,226],"beta":{"interval_sums":[145024,137934,142145],"interval_residues":[58,151,444],"display_cycle":[58,151,444],"intervals":[{"from_index":59,"to_index":495,"sum":145024,"residue":58},{"from_index":495,"to_index":931,"sum":137934,"residue":151},{"from_index":931,"to_index":59,"sum":142145,"residue":444}],"minimal_cycle":[58,151,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[59,495],"circle_positions":653,"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":[60,496,932],"clock_positions":[60,496,932],"native_values":[164,342,147],"rotation_degrees":16.513761467889907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,342,147],"beta":{"interval_sums":[145167,137818,142118],"interval_residues":[201,35,417],"display_cycle":[201,35,417],"intervals":[{"from_index":60,"to_index":496,"sum":145167,"residue":201},{"from_index":496,"to_index":932,"sum":137818,"residue":35},{"from_index":932,"to_index":60,"sum":142118,"residue":417}],"minimal_cycle":[201,35,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[60,496],"circle_positions":653,"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":[61,497,933],"clock_positions":[61,497,933],"native_values":[284,649,373],"rotation_degrees":16.788990825688074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,649,373],"beta":{"interval_sums":[145225,137316,141909],"interval_residues":[259,186,208],"display_cycle":[259,186,208],"intervals":[{"from_index":61,"to_index":497,"sum":145225,"residue":259},{"from_index":497,"to_index":933,"sum":137316,"residue":186},{"from_index":933,"to_index":61,"sum":141909,"residue":208}],"minimal_cycle":[259,186,208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[61,497],"circle_positions":653,"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":[62,498,934],"clock_positions":[62,498,934],"native_values":[448,338,520],"rotation_degrees":17.06422018348624,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,338,520],"beta":{"interval_sums":[145426,137351,141673],"interval_residues":[460,221,625],"display_cycle":[460,221,625],"intervals":[{"from_index":62,"to_index":498,"sum":145426,"residue":460},{"from_index":498,"to_index":934,"sum":137351,"residue":221},{"from_index":934,"to_index":62,"sum":141673,"residue":625}],"minimal_cycle":[460,221,625],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[62,498],"circle_positions":653,"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":[63,499,935],"clock_positions":[63,499,935],"native_values":[79,334,240],"rotation_degrees":17.339449541284402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,334,240],"beta":{"interval_sums":[145685,137537,141881],"interval_residues":[66,407,180],"display_cycle":[66,407,180],"intervals":[{"from_index":63,"to_index":499,"sum":145685,"residue":66},{"from_index":499,"to_index":935,"sum":137537,"residue":407},{"from_index":935,"to_index":63,"sum":141881,"residue":180}],"minimal_cycle":[66,407,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[63,499],"circle_positions":653,"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":[64,500,936],"clock_positions":[64,500,936],"native_values":[527,19,107],"rotation_degrees":17.61467889908257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,19,107],"beta":{"interval_sums":[145492,137758,141853],"interval_residues":[526,628,152],"display_cycle":[526,628,152],"intervals":[{"from_index":64,"to_index":500,"sum":145492,"residue":526},{"from_index":500,"to_index":936,"sum":137758,"residue":628},{"from_index":936,"to_index":64,"sum":141853,"residue":152}],"minimal_cycle":[526,628,152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[64,500],"circle_positions":653,"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":[65,501,937],"clock_positions":[65,501,937],"native_values":[606,353,347],"rotation_degrees":17.889908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[606,353,347],"beta":{"interval_sums":[144905,137512,142033],"interval_residues":[592,382,332],"display_cycle":[592,382,332],"intervals":[{"from_index":65,"to_index":501,"sum":144905,"residue":592},{"from_index":501,"to_index":937,"sum":137512,"residue":382},{"from_index":937,"to_index":65,"sum":142033,"residue":332}],"minimal_cycle":[592,382,332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[65,501],"circle_positions":653,"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":[66,502,938],"clock_positions":[66,502,938],"native_values":[480,372,454],"rotation_degrees":18.165137614678898,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,372,454],"beta":{"interval_sums":[144778,137487,142185],"interval_residues":[465,357,484],"display_cycle":[465,357,484],"intervals":[{"from_index":66,"to_index":502,"sum":144778,"residue":465},{"from_index":502,"to_index":938,"sum":137487,"residue":357},{"from_index":938,"to_index":66,"sum":142185,"residue":484}],"minimal_cycle":[465,357,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[66,502],"circle_positions":653,"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":[67,503,939],"clock_positions":[67,503,939],"native_values":[433,72,148],"rotation_degrees":18.440366972477065,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,72,148],"beta":{"interval_sums":[144717,137869,142517],"interval_residues":[404,86,163],"display_cycle":[404,86,163],"intervals":[{"from_index":67,"to_index":503,"sum":144717,"residue":404},{"from_index":503,"to_index":939,"sum":137869,"residue":86},{"from_index":939,"to_index":67,"sum":142517,"residue":163}],"minimal_cycle":[404,86,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[67,503],"circle_positions":653,"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":[68,504,940],"clock_positions":[68,504,940],"native_values":[260,444,602],"rotation_degrees":18.71559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,444,602],"beta":{"interval_sums":[144529,137573,142348],"interval_residues":[216,443,647],"display_cycle":[216,443,647],"intervals":[{"from_index":68,"to_index":504,"sum":144529,"residue":216},{"from_index":504,"to_index":940,"sum":137573,"residue":443},{"from_index":940,"to_index":68,"sum":142348,"residue":647}],"minimal_cycle":[216,443,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[68,504],"circle_positions":653,"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":[69,505,941],"clock_positions":[69,505,941],"native_values":[40,516,97],"rotation_degrees":18.990825688073393,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,516,97],"beta":{"interval_sums":[144933,137659,142511],"interval_residues":[620,529,157],"display_cycle":[620,529,157],"intervals":[{"from_index":69,"to_index":505,"sum":144933,"residue":620},{"from_index":505,"to_index":941,"sum":137659,"residue":529},{"from_index":941,"to_index":69,"sum":142511,"residue":157}],"minimal_cycle":[620,529,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[69,505],"circle_positions":653,"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":[70,506,942],"clock_positions":[70,506,942],"native_values":[300,307,46],"rotation_degrees":19.26605504587156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,307,46],"beta":{"interval_sums":[145149,137449,142505],"interval_residues":[183,319,151],"display_cycle":[183,319,151],"intervals":[{"from_index":70,"to_index":506,"sum":145149,"residue":183},{"from_index":506,"to_index":942,"sum":137449,"residue":319},{"from_index":942,"to_index":70,"sum":142505,"residue":151}],"minimal_cycle":[183,319,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[70,506],"circle_positions":653,"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":[71,507,943],"clock_positions":[71,507,943],"native_values":[340,170,143],"rotation_degrees":19.541284403669724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,170,143],"beta":{"interval_sums":[145116,137325,142662],"interval_residues":[150,195,308],"display_cycle":[150,195,308],"intervals":[{"from_index":71,"to_index":507,"sum":145116,"residue":150},{"from_index":507,"to_index":943,"sum":137325,"residue":195},{"from_index":943,"to_index":71,"sum":142662,"residue":308}],"minimal_cycle":[150,195,308],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[71,507],"circle_positions":653,"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":[72,508,944],"clock_positions":[72,508,944],"native_values":[640,477,189],"rotation_degrees":19.81651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,477,189],"beta":{"interval_sums":[144646,136991,142813],"interval_residues":[333,514,459],"display_cycle":[333,514,459],"intervals":[{"from_index":72,"to_index":508,"sum":144646,"residue":333},{"from_index":508,"to_index":944,"sum":136991,"residue":514},{"from_index":944,"to_index":72,"sum":142813,"residue":459}],"minimal_cycle":[333,514,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[72,508],"circle_positions":653,"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":[73,509,945],"clock_positions":[73,509,945],"native_values":[327,647,332],"rotation_degrees":20.091743119266056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,647,332],"beta":{"interval_sums":[144796,136533,143121],"interval_residues":[483,56,114],"display_cycle":[483,56,114],"intervals":[{"from_index":73,"to_index":509,"sum":144796,"residue":483},{"from_index":509,"to_index":945,"sum":136533,"residue":56},{"from_index":945,"to_index":73,"sum":143121,"residue":114}],"minimal_cycle":[483,56,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[73,509],"circle_positions":653,"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":[74,510,946],"clock_positions":[74,510,946],"native_values":[314,471,521],"rotation_degrees":20.36697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,471,521],"beta":{"interval_sums":[145129,136394,142927],"interval_residues":[163,570,573],"display_cycle":[163,570,573],"intervals":[{"from_index":74,"to_index":510,"sum":145129,"residue":163},{"from_index":510,"to_index":946,"sum":136394,"residue":570},{"from_index":946,"to_index":74,"sum":142927,"residue":573}],"minimal_cycle":[163,570,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[74,510],"circle_positions":653,"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":[75,511,947],"clock_positions":[75,511,947],"native_values":[641,465,200],"rotation_degrees":20.642201834862384,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,465,200],"beta":{"interval_sums":[144959,136450,143041],"interval_residues":[646,626,34],"display_cycle":[646,626,34],"intervals":[{"from_index":75,"to_index":511,"sum":144959,"residue":646},{"from_index":511,"to_index":947,"sum":136450,"residue":626},{"from_index":947,"to_index":75,"sum":143041,"residue":34}],"minimal_cycle":[646,626,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[75,511],"circle_positions":653,"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":[76,512,948],"clock_positions":[76,512,948],"native_values":[302,283,68],"rotation_degrees":20.91743119266055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,283,68],"beta":{"interval_sums":[145122,136367,143614],"interval_residues":[156,543,607],"display_cycle":[156,543,607],"intervals":[{"from_index":76,"to_index":512,"sum":145122,"residue":156},{"from_index":512,"to_index":948,"sum":136367,"residue":543},{"from_index":948,"to_index":76,"sum":143614,"residue":607}],"minimal_cycle":[156,543,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[76,512],"circle_positions":653,"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":[77,513,949],"clock_positions":[77,513,949],"native_values":[290,95,268],"rotation_degrees":21.192660550458715,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,95,268],"beta":{"interval_sums":[145115,136340,143648],"interval_residues":[149,516,641],"display_cycle":[149,516,641],"intervals":[{"from_index":77,"to_index":513,"sum":145115,"residue":149},{"from_index":513,"to_index":949,"sum":136340,"residue":516},{"from_index":949,"to_index":77,"sum":143648,"residue":641}],"minimal_cycle":[149,516,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[77,513],"circle_positions":653,"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":[78,514,950],"clock_positions":[78,514,950],"native_values":[592,378,336],"rotation_degrees":21.46788990825688,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,378,336],"beta":{"interval_sums":[144618,136230,143602],"interval_residues":[305,406,595],"display_cycle":[305,406,595],"intervals":[{"from_index":78,"to_index":514,"sum":144618,"residue":305},{"from_index":514,"to_index":950,"sum":136230,"residue":406},{"from_index":950,"to_index":78,"sum":143602,"residue":595}],"minimal_cycle":[305,406,595],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[78,514],"circle_positions":653,"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":[79,515,951],"clock_positions":[79,515,951],"native_values":[229,473,604],"rotation_degrees":21.743119266055047,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,473,604],"beta":{"interval_sums":[144767,136093,143590],"interval_residues":[454,269,583],"display_cycle":[454,269,583],"intervals":[{"from_index":79,"to_index":515,"sum":144767,"residue":454},{"from_index":515,"to_index":951,"sum":136093,"residue":269},{"from_index":951,"to_index":79,"sum":143590,"residue":583}],"minimal_cycle":[454,269,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[79,515],"circle_positions":653,"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":[80,516,952],"clock_positions":[80,516,952],"native_values":[168,198,287],"rotation_degrees":22.01834862385321,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,198,287],"beta":{"interval_sums":[145072,136499,143532],"interval_residues":[106,22,525],"display_cycle":[106,22,525],"intervals":[{"from_index":80,"to_index":516,"sum":145072,"residue":106},{"from_index":516,"to_index":952,"sum":136499,"residue":22},{"from_index":952,"to_index":80,"sum":143532,"residue":525}],"minimal_cycle":[106,22,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[80,516],"circle_positions":653,"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":[81,517,953],"clock_positions":[81,517,953],"native_values":[397,18,238],"rotation_degrees":22.293577981651374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,18,238],"beta":{"interval_sums":[144873,136768,143462],"interval_residues":[560,291,455],"display_cycle":[560,291,455],"intervals":[{"from_index":81,"to_index":517,"sum":144873,"residue":560},{"from_index":517,"to_index":953,"sum":136768,"residue":291},{"from_index":953,"to_index":81,"sum":143462,"residue":455}],"minimal_cycle":[560,291,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[81,517],"circle_positions":653,"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":[82,518,954],"clock_positions":[82,518,954],"native_values":[565,216,525],"rotation_degrees":22.568807339449542,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,216,525],"beta":{"interval_sums":[144326,136790,143334],"interval_residues":[13,313,327],"display_cycle":[13,313,327],"intervals":[{"from_index":82,"to_index":518,"sum":144326,"residue":13},{"from_index":518,"to_index":954,"sum":136790,"residue":313},{"from_index":954,"to_index":82,"sum":143334,"residue":327}],"minimal_cycle":[13,313,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[82,518],"circle_positions":653,"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":[83,519,955],"clock_positions":[83,519,955],"native_values":[309,234,110],"rotation_degrees":22.844036697247706,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,234,110],"beta":{"interval_sums":[144233,137081,143789],"interval_residues":[573,604,129],"display_cycle":[573,604,129],"intervals":[{"from_index":83,"to_index":519,"sum":144233,"residue":573},{"from_index":519,"to_index":955,"sum":137081,"residue":604},{"from_index":955,"to_index":83,"sum":143789,"residue":129}],"minimal_cycle":[573,604,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[83,519],"circle_positions":653,"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":[84,520,956],"clock_positions":[84,520,956],"native_values":[221,450,635],"rotation_degrees":23.119266055045873,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,450,635],"beta":{"interval_sums":[144246,136741,143463],"interval_residues":[586,264,456],"display_cycle":[586,264,456],"intervals":[{"from_index":84,"to_index":520,"sum":144246,"residue":586},{"from_index":520,"to_index":956,"sum":136741,"residue":264},{"from_index":956,"to_index":84,"sum":143463,"residue":456}],"minimal_cycle":[586,264,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[84,520],"circle_positions":653,"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":[85,521,957],"clock_positions":[85,521,957],"native_values":[530,31,92],"rotation_degrees":23.394495412844037,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,31,92],"beta":{"interval_sums":[144166,137345,143592],"interval_residues":[506,215,585],"display_cycle":[506,215,585],"intervals":[{"from_index":85,"to_index":521,"sum":144166,"residue":506},{"from_index":521,"to_index":957,"sum":137345,"residue":215},{"from_index":957,"to_index":85,"sum":143592,"residue":585}],"minimal_cycle":[506,215,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[85,521],"circle_positions":653,"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":[86,522,958],"clock_positions":[86,522,958],"native_values":[98,481,74],"rotation_degrees":23.6697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,481,74],"beta":{"interval_sums":[144099,136956,144048],"interval_residues":[439,479,388],"display_cycle":[439,479,388],"intervals":[{"from_index":86,"to_index":522,"sum":144099,"residue":439},{"from_index":522,"to_index":958,"sum":136956,"residue":479},{"from_index":958,"to_index":86,"sum":144048,"residue":388}],"minimal_cycle":[439,479,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[86,522],"circle_positions":653,"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":[87,523,959],"clock_positions":[87,523,959],"native_values":[628,512,166],"rotation_degrees":23.94495412844037,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,512,166],"beta":{"interval_sums":[143952,136518,143980],"interval_residues":[292,41,320],"display_cycle":[292,41,320],"intervals":[{"from_index":87,"to_index":523,"sum":143952,"residue":292},{"from_index":523,"to_index":959,"sum":136518,"residue":41},{"from_index":959,"to_index":87,"sum":143980,"residue":320}],"minimal_cycle":[292,41,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[87,523],"circle_positions":653,"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":[88,524,960],"clock_positions":[88,524,960],"native_values":[73,340,240],"rotation_degrees":24.220183486238533,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,340,240],"beta":{"interval_sums":[144391,136344,144368],"interval_residues":[78,520,55],"display_cycle":[78,520,55],"intervals":[{"from_index":88,"to_index":524,"sum":144391,"residue":78},{"from_index":524,"to_index":960,"sum":136344,"residue":520},{"from_index":960,"to_index":88,"sum":144368,"residue":55}],"minimal_cycle":[78,520,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[88,524],"circle_positions":653,"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":[89,525,961],"clock_positions":[89,525,961],"native_values":[48,199,406],"rotation_degrees":24.495412844036696,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,199,406],"beta":{"interval_sums":[144683,136385,144035],"interval_residues":[370,561,375],"display_cycle":[370,561,375],"intervals":[{"from_index":89,"to_index":525,"sum":144683,"residue":370},{"from_index":525,"to_index":961,"sum":136385,"residue":561},{"from_index":961,"to_index":89,"sum":144035,"residue":375}],"minimal_cycle":[370,561,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[89,525],"circle_positions":653,"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":[90,526,962],"clock_positions":[90,526,962],"native_values":[121,539,646],"rotation_degrees":24.770642201834864,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,539,646],"beta":{"interval_sums":[144761,136252,143437],"interval_residues":[448,428,430],"display_cycle":[448,428,430],"intervals":[{"from_index":90,"to_index":526,"sum":144761,"residue":448},{"from_index":526,"to_index":962,"sum":136252,"residue":428},{"from_index":962,"to_index":90,"sum":143437,"residue":430}],"minimal_cycle":[448,428,430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[90,526],"circle_positions":653,"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":[91,527,963],"clock_positions":[91,527,963],"native_values":[169,85,399],"rotation_degrees":25.045871559633028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,85,399],"beta":{"interval_sums":[145131,136813,143159],"interval_residues":[165,336,152],"display_cycle":[165,336,152],"intervals":[{"from_index":91,"to_index":527,"sum":145131,"residue":165},{"from_index":527,"to_index":963,"sum":136813,"residue":336},{"from_index":963,"to_index":91,"sum":143159,"residue":152}],"minimal_cycle":[165,336,152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[91,527],"circle_positions":653,"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":[92,528,964],"clock_positions":[92,528,964],"native_values":[290,624,392],"rotation_degrees":25.321100917431192,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,624,392],"beta":{"interval_sums":[144926,136588,142936],"interval_residues":[613,111,582],"display_cycle":[613,111,582],"intervals":[{"from_index":92,"to_index":528,"sum":144926,"residue":613},{"from_index":528,"to_index":964,"sum":136588,"residue":111},{"from_index":964,"to_index":92,"sum":142936,"residue":582}],"minimal_cycle":[613,111,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[92,528],"circle_positions":653,"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":[93,529,965],"clock_positions":[93,529,965],"native_values":[459,56,138],"rotation_degrees":25.59633027522936,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,56,138],"beta":{"interval_sums":[145091,136924,143088],"interval_residues":[125,447,81],"display_cycle":[125,447,81],"intervals":[{"from_index":93,"to_index":529,"sum":145091,"residue":125},{"from_index":529,"to_index":965,"sum":136924,"residue":447},{"from_index":965,"to_index":93,"sum":143088,"residue":81}],"minimal_cycle":[125,447,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[93,529],"circle_positions":653,"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":[94,530,966],"clock_positions":[94,530,966],"native_values":[96,27,530],"rotation_degrees":25.871559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,27,530],"beta":{"interval_sums":[145051,137035,143017],"interval_residues":[85,558,10],"display_cycle":[85,558,10],"intervals":[{"from_index":94,"to_index":530,"sum":145051,"residue":85},{"from_index":530,"to_index":966,"sum":137035,"residue":558},{"from_index":966,"to_index":94,"sum":143017,"residue":10}],"minimal_cycle":[85,558,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[94,530],"circle_positions":653,"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":[95,531,967],"clock_positions":[95,531,967],"native_values":[555,83,15],"rotation_degrees":26.146788990825687,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[555,83,15],"beta":{"interval_sums":[144523,137482,143098],"interval_residues":[210,352,91],"display_cycle":[210,352,91],"intervals":[{"from_index":95,"to_index":531,"sum":144523,"residue":210},{"from_index":531,"to_index":967,"sum":137482,"residue":352},{"from_index":967,"to_index":95,"sum":143098,"residue":91}],"minimal_cycle":[210,352,91],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[95,531],"circle_positions":653,"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":[96,532,968],"clock_positions":[96,532,968],"native_values":[651,110,545],"rotation_degrees":26.422018348623855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,110,545],"beta":{"interval_sums":[143955,137387,143108],"interval_residues":[295,257,101],"display_cycle":[295,257,101],"intervals":[{"from_index":96,"to_index":532,"sum":143955,"residue":295},{"from_index":532,"to_index":968,"sum":137387,"residue":257},{"from_index":968,"to_index":96,"sum":143108,"residue":101}],"minimal_cycle":[295,257,101],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[96,532],"circle_positions":653,"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":[97,533,969],"clock_positions":[97,533,969],"native_values":[553,193,560],"rotation_degrees":26.69724770642202,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,193,560],"beta":{"interval_sums":[143512,137739,143199],"interval_residues":[505,609,192],"display_cycle":[505,609,192],"intervals":[{"from_index":97,"to_index":533,"sum":143512,"residue":505},{"from_index":533,"to_index":969,"sum":137739,"residue":609},{"from_index":969,"to_index":97,"sum":143199,"residue":192}],"minimal_cycle":[505,609,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[97,533],"circle_positions":653,"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":[98,534,970],"clock_positions":[98,534,970],"native_values":[551,303,452],"rotation_degrees":26.972477064220183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,303,452],"beta":{"interval_sums":[143154,137996,143300],"interval_residues":[147,213,293],"display_cycle":[147,213,293],"intervals":[{"from_index":98,"to_index":534,"sum":143154,"residue":147},{"from_index":534,"to_index":970,"sum":137996,"residue":213},{"from_index":970,"to_index":98,"sum":143300,"residue":293}],"minimal_cycle":[147,213,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[98,534],"circle_positions":653,"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":[99,535,971],"clock_positions":[99,535,971],"native_values":[451,496,359],"rotation_degrees":27.24770642201835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,496,359],"beta":{"interval_sums":[143006,137952,143492],"interval_residues":[652,169,485],"display_cycle":[652,169,485],"intervals":[{"from_index":99,"to_index":535,"sum":143006,"residue":652},{"from_index":535,"to_index":971,"sum":137952,"residue":169},{"from_index":971,"to_index":99,"sum":143492,"residue":485}],"minimal_cycle":[652,169,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[99,535],"circle_positions":653,"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":[100,536,972],"clock_positions":[100,536,972],"native_values":[349,146,158],"rotation_degrees":27.522935779816514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,146,158],"beta":{"interval_sums":[143153,138165,143785],"interval_residues":[146,382,125],"display_cycle":[146,382,125],"intervals":[{"from_index":100,"to_index":536,"sum":143153,"residue":146},{"from_index":536,"to_index":972,"sum":138165,"residue":382},{"from_index":972,"to_index":100,"sum":143785,"residue":125}],"minimal_cycle":[146,382,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[100,536],"circle_positions":653,"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":[101,537,973],"clock_positions":[101,537,973],"native_values":[147,642,517],"rotation_degrees":27.798165137614678,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,642,517],"beta":{"interval_sums":[143152,137681,143617],"interval_residues":[145,551,610],"display_cycle":[145,551,610],"intervals":[{"from_index":101,"to_index":537,"sum":143152,"residue":145},{"from_index":537,"to_index":973,"sum":137681,"residue":551},{"from_index":973,"to_index":101,"sum":143617,"residue":610}],"minimal_cycle":[145,551,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[101,537],"circle_positions":653,"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":[102,538,974],"clock_positions":[102,538,974],"native_values":[496,135,22],"rotation_degrees":28.073394495412845,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,135,22],"beta":{"interval_sums":[143298,138063,143742],"interval_residues":[291,280,82],"display_cycle":[291,280,82],"intervals":[{"from_index":102,"to_index":538,"sum":143298,"residue":291},{"from_index":538,"to_index":974,"sum":138063,"residue":280},{"from_index":974,"to_index":102,"sum":143742,"residue":82}],"minimal_cycle":[291,280,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[102,538],"circle_positions":653,"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":[103,539,975],"clock_positions":[103,539,975],"native_values":[643,124,539],"rotation_degrees":28.34862385321101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,124,539],"beta":{"interval_sums":[142790,137961,143699],"interval_residues":[436,178,39],"display_cycle":[436,178,39],"intervals":[{"from_index":103,"to_index":539,"sum":142790,"residue":436},{"from_index":539,"to_index":975,"sum":137961,"residue":178},{"from_index":975,"to_index":103,"sum":143699,"residue":39}],"minimal_cycle":[436,178,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[103,539],"circle_positions":653,"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":[104,540,976],"clock_positions":[104,540,976],"native_values":[486,259,561],"rotation_degrees":28.623853211009173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,259,561],"beta":{"interval_sums":[142428,138241,143781],"interval_residues":[74,458,121],"display_cycle":[74,458,121],"intervals":[{"from_index":104,"to_index":540,"sum":142428,"residue":74},{"from_index":540,"to_index":976,"sum":138241,"residue":458},{"from_index":976,"to_index":104,"sum":143781,"residue":121}],"minimal_cycle":[74,458,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[104,540],"circle_positions":653,"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":[105,541,977],"clock_positions":[105,541,977],"native_values":[476,383,447],"rotation_degrees":28.89908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,383,447],"beta":{"interval_sums":[142211,138419,143820],"interval_residues":[510,636,160],"display_cycle":[510,636,160],"intervals":[{"from_index":105,"to_index":541,"sum":142211,"residue":510},{"from_index":541,"to_index":977,"sum":138419,"residue":636},{"from_index":977,"to_index":105,"sum":143820,"residue":160}],"minimal_cycle":[510,636,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[105,541],"circle_positions":653,"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":[106,542,978],"clock_positions":[106,542,978],"native_values":[309,642,355],"rotation_degrees":29.174311926605505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,642,355],"beta":{"interval_sums":[142285,138224,143941],"interval_residues":[584,441,281],"display_cycle":[584,441,281],"intervals":[{"from_index":106,"to_index":542,"sum":142285,"residue":584},{"from_index":542,"to_index":978,"sum":138224,"residue":441},{"from_index":978,"to_index":106,"sum":143941,"residue":281}],"minimal_cycle":[584,441,281],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[106,542],"circle_positions":653,"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":[107,543,979],"clock_positions":[107,543,979],"native_values":[132,372,149],"rotation_degrees":29.44954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,372,149],"beta":{"interval_sums":[142795,138207,144101],"interval_residues":[441,424,441],"display_cycle":[441,424,441],"intervals":[{"from_index":107,"to_index":543,"sum":142795,"residue":441},{"from_index":543,"to_index":979,"sum":138207,"residue":424},{"from_index":979,"to_index":107,"sum":144101,"residue":441}],"minimal_cycle":[441,424,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[107,543],"circle_positions":653,"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":[108,544,980],"clock_positions":[108,544,980],"native_values":[441,361,504],"rotation_degrees":29.724770642201836,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,361,504],"beta":{"interval_sums":[142726,137995,143729],"interval_residues":[372,212,69],"display_cycle":[372,212,69],"intervals":[{"from_index":108,"to_index":544,"sum":142726,"residue":372},{"from_index":544,"to_index":980,"sum":137995,"residue":212},{"from_index":980,"to_index":108,"sum":143729,"residue":69}],"minimal_cycle":[372,212,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[108,544],"circle_positions":653,"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":[109,545,981],"clock_positions":[109,545,981],"native_values":[573,80,653],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,80,653],"beta":{"interval_sums":[142514,138419,144170],"interval_residues":[160,636,510],"display_cycle":[160,636,510],"intervals":[{"from_index":109,"to_index":545,"sum":142514,"residue":160},{"from_index":545,"to_index":981,"sum":138419,"residue":636},{"from_index":981,"to_index":109,"sum":144170,"residue":510}],"minimal_cycle":[160,636,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[109,545],"circle_positions":653,"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":[110,546,982],"clock_positions":[110,546,982],"native_values":[361,441,504],"rotation_degrees":30.275229357798164,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,441,504],"beta":{"interval_sums":[142233,137978,144239],"interval_residues":[532,195,579],"display_cycle":[532,195,579],"intervals":[{"from_index":110,"to_index":546,"sum":142233,"residue":532},{"from_index":546,"to_index":982,"sum":137978,"residue":195},{"from_index":982,"to_index":110,"sum":144239,"residue":579}],"minimal_cycle":[532,195,579],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[110,546],"circle_positions":653,"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":[111,547,983],"clock_positions":[111,547,983],"native_values":[281,521,504],"rotation_degrees":30.55045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,521,504],"beta":{"interval_sums":[142393,137961,144096],"interval_residues":[39,178,436],"display_cycle":[39,178,436],"intervals":[{"from_index":111,"to_index":547,"sum":142393,"residue":39},{"from_index":547,"to_index":983,"sum":137961,"residue":178},{"from_index":983,"to_index":111,"sum":144096,"residue":436}],"minimal_cycle":[39,178,436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[111,547],"circle_positions":653,"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":[112,548,984],"clock_positions":[112,548,984],"native_values":[642,309,355],"rotation_degrees":30.825688073394495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,309,355],"beta":{"interval_sums":[142272,138156,144022],"interval_residues":[571,373,362],"display_cycle":[571,373,362],"intervals":[{"from_index":112,"to_index":548,"sum":142272,"residue":571},{"from_index":548,"to_index":984,"sum":138156,"residue":373},{"from_index":984,"to_index":112,"sum":144022,"residue":362}],"minimal_cycle":[571,373,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[112,548],"circle_positions":653,"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":[113,549,985],"clock_positions":[113,549,985],"native_values":[270,177,206],"rotation_degrees":31.10091743119266,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,177,206],"beta":{"interval_sums":[142311,138334,144458],"interval_residues":[610,551,145],"display_cycle":[610,551,145],"intervals":[{"from_index":113,"to_index":549,"sum":142311,"residue":610},{"from_index":549,"to_index":985,"sum":138334,"residue":551},{"from_index":985,"to_index":113,"sum":144458,"residue":145}],"minimal_cycle":[610,551,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[113,549],"circle_positions":653,"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":[114,550,986],"clock_positions":[114,550,986],"native_values":[259,486,561],"rotation_degrees":31.376146788990827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,486,561],"beta":{"interval_sums":[142229,138054,144167],"interval_residues":[528,271,507],"display_cycle":[528,271,507],"intervals":[{"from_index":114,"to_index":550,"sum":142229,"residue":528},{"from_index":550,"to_index":986,"sum":138054,"residue":271},{"from_index":986,"to_index":114,"sum":144167,"residue":507}],"minimal_cycle":[528,271,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[114,550],"circle_positions":653,"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":[115,551,987],"clock_positions":[115,551,987],"native_values":[529,10,114],"rotation_degrees":31.65137614678899,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,10,114],"beta":{"interval_sums":[142186,138605,144312],"interval_residues":[485,169,652],"display_cycle":[485,169,652],"intervals":[{"from_index":115,"to_index":551,"sum":142186,"residue":485},{"from_index":551,"to_index":987,"sum":138605,"residue":169},{"from_index":987,"to_index":115,"sum":144312,"residue":652}],"minimal_cycle":[485,169,652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[115,551],"circle_positions":653,"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":[116,552,988],"clock_positions":[116,552,988],"native_values":[135,496,22],"rotation_degrees":31.926605504587155,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,496,22],"beta":{"interval_sums":[142061,138223,144819],"interval_residues":[360,440,506],"display_cycle":[360,440,506],"intervals":[{"from_index":116,"to_index":552,"sum":142061,"residue":360},{"from_index":552,"to_index":988,"sum":138223,"residue":440},{"from_index":988,"to_index":116,"sum":144819,"residue":506}],"minimal_cycle":[360,440,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[116,552],"circle_positions":653,"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":[117,553,989],"clock_positions":[117,553,989],"native_values":[11,506,136],"rotation_degrees":32.20183486238532,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,506,136],"beta":{"interval_sums":[142546,137739,144818],"interval_residues":[192,609,505],"display_cycle":[192,609,505],"intervals":[{"from_index":117,"to_index":553,"sum":142546,"residue":192},{"from_index":553,"to_index":989,"sum":137739,"residue":609},{"from_index":989,"to_index":117,"sum":144818,"residue":505}],"minimal_cycle":[192,609,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[117,553],"circle_positions":653,"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":[118,554,990],"clock_positions":[118,554,990],"native_values":[146,349,158],"rotation_degrees":32.477064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,349,158],"beta":{"interval_sums":[142906,137526,144671],"interval_residues":[552,396,358],"display_cycle":[552,396,358],"intervals":[{"from_index":118,"to_index":554,"sum":142906,"residue":552},{"from_index":554,"to_index":990,"sum":137526,"residue":396},{"from_index":990,"to_index":118,"sum":144671,"residue":358}],"minimal_cycle":[552,396,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[118,554],"circle_positions":653,"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":[119,555,991],"clock_positions":[119,555,991],"native_values":[157,202,294],"rotation_degrees":32.75229357798165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,202,294],"beta":{"interval_sums":[143098,137482,144523],"interval_residues":[91,352,210],"display_cycle":[91,352,210],"intervals":[{"from_index":119,"to_index":555,"sum":143098,"residue":91},{"from_index":555,"to_index":991,"sum":137482,"residue":352},{"from_index":991,"to_index":119,"sum":144523,"residue":210}],"minimal_cycle":[91,352,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[119,555],"circle_positions":653,"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":[120,556,992],"clock_positions":[120,556,992],"native_values":[303,551,452],"rotation_degrees":33.027522935779814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,551,452],"beta":{"interval_sums":[142997,137225,144228],"interval_residues":[643,95,568],"display_cycle":[643,95,568],"intervals":[{"from_index":120,"to_index":556,"sum":142997,"residue":643},{"from_index":556,"to_index":992,"sum":137225,"residue":95},{"from_index":992,"to_index":120,"sum":144228,"residue":568}],"minimal_cycle":[643,95,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[120,556],"circle_positions":653,"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":[121,557,993],"clock_positions":[121,557,993],"native_values":[460,100,93],"rotation_degrees":33.30275229357798,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,100,93],"beta":{"interval_sums":[143088,137577,144438],"interval_residues":[81,447,125],"display_cycle":[81,447,125],"intervals":[{"from_index":121,"to_index":557,"sum":143088,"residue":81},{"from_index":557,"to_index":993,"sum":137577,"residue":447},{"from_index":993,"to_index":121,"sum":144438,"residue":125}],"minimal_cycle":[81,447,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[121,557],"circle_positions":653,"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":[122,558,994],"clock_positions":[122,558,994],"native_values":[110,651,545],"rotation_degrees":33.57798165137615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,651,545],"beta":{"interval_sums":[143078,137019,144353],"interval_residues":[71,542,40],"display_cycle":[71,542,40],"intervals":[{"from_index":122,"to_index":558,"sum":143078,"residue":71},{"from_index":558,"to_index":994,"sum":137019,"residue":542},{"from_index":994,"to_index":122,"sum":144353,"residue":40}],"minimal_cycle":[71,542,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[122,558],"circle_positions":653,"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":[123,559,995],"clock_positions":[123,559,995],"native_values":[570,98,638],"rotation_degrees":33.85321100917431,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[570,98,638],"beta":{"interval_sums":[143159,137466,143825],"interval_residues":[152,336,165],"display_cycle":[152,336,165],"intervals":[{"from_index":123,"to_index":559,"sum":143159,"residue":152},{"from_index":559,"to_index":995,"sum":137466,"residue":336},{"from_index":995,"to_index":123,"sum":143825,"residue":165}],"minimal_cycle":[152,336,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[123,559],"circle_positions":653,"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":[124,560,996],"clock_positions":[124,560,996],"native_values":[27,96,530],"rotation_degrees":34.12844036697248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,96,530],"beta":{"interval_sums":[143230,138008,143865],"interval_residues":[223,225,205],"display_cycle":[223,225,205],"intervals":[{"from_index":124,"to_index":560,"sum":143230,"residue":223},{"from_index":560,"to_index":996,"sum":138008,"residue":225},{"from_index":996,"to_index":124,"sum":143865,"residue":205}],"minimal_cycle":[223,225,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[124,560],"circle_positions":653,"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":[125,561,997],"clock_positions":[125,561,997],"native_values":[597,194,515],"rotation_degrees":34.403669724770644,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,194,515],"beta":{"interval_sums":[142729,138344,143377],"interval_residues":[375,561,370],"display_cycle":[375,561,370],"intervals":[{"from_index":125,"to_index":561,"sum":142729,"residue":375},{"from_index":561,"to_index":997,"sum":138344,"residue":561},{"from_index":997,"to_index":125,"sum":143377,"residue":370}],"minimal_cycle":[375,561,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":375,"start_interval_clock_positions":[125,561],"circle_positions":653,"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":[126,562,998],"clock_positions":[126,562,998],"native_values":[624,290,392],"rotation_degrees":34.678899082568805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,290,392],"beta":{"interval_sums":[142299,138569,143582],"interval_residues":[598,133,575],"display_cycle":[598,133,575],"intervals":[{"from_index":126,"to_index":562,"sum":142299,"residue":598},{"from_index":562,"to_index":998,"sum":138569,"residue":133},{"from_index":998,"to_index":126,"sum":143582,"residue":575}],"minimal_cycle":[598,133,575],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[126,562],"circle_positions":653,"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":[127,563,999],"clock_positions":[127,563,999],"native_values":[568,484,254],"rotation_degrees":34.95412844036697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,484,254],"beta":{"interval_sums":[142021,138477,143952],"interval_residues":[320,41,292],"display_cycle":[320,41,292],"intervals":[{"from_index":127,"to_index":563,"sum":142021,"residue":320},{"from_index":563,"to_index":999,"sum":138477,"residue":41},{"from_index":999,"to_index":127,"sum":143952,"residue":292}],"minimal_cycle":[320,41,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[127,563],"circle_positions":653,"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":[128,564,1000],"clock_positions":[128,564,1000],"native_values":[539,121,646],"rotation_degrees":35.22935779816514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,121,646],"beta":{"interval_sums":[141966,138610,143874],"interval_residues":[265,174,214],"display_cycle":[265,174,214],"intervals":[{"from_index":128,"to_index":564,"sum":141966,"residue":265},{"from_index":564,"to_index":1000,"sum":138610,"residue":174},{"from_index":1000,"to_index":128,"sum":143874,"residue":214}],"minimal_cycle":[265,174,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[128,564],"circle_positions":653,"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":[129,565,1001],"clock_positions":[129,565,1001],"native_values":[454,605,247],"rotation_degrees":35.5045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[454,605,247],"beta":{"interval_sums":[141633,138651,144166],"interval_residues":[585,215,506],"display_cycle":[585,215,506],"intervals":[{"from_index":129,"to_index":565,"sum":141633,"residue":585},{"from_index":565,"to_index":1001,"sum":138651,"residue":215},{"from_index":1001,"to_index":129,"sum":144166,"residue":506}],"minimal_cycle":[585,215,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[129,565],"circle_positions":653,"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":[130,566,1002],"clock_positions":[130,566,1002],"native_values":[340,73,240],"rotation_degrees":35.77981651376147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,73,240],"beta":{"interval_sums":[141898,138825,144380],"interval_residues":[197,389,67],"display_cycle":[197,389,67],"intervals":[{"from_index":130,"to_index":566,"sum":141898,"residue":197},{"from_index":566,"to_index":1002,"sum":138825,"residue":389},{"from_index":1002,"to_index":130,"sum":144380,"residue":67}],"minimal_cycle":[197,389,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[130,566],"circle_positions":653,"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":[131,567,1003],"clock_positions":[131,567,1003],"native_values":[141,25,487],"rotation_degrees":36.055045871559635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,25,487],"beta":{"interval_sums":[141830,139040,144233],"interval_residues":[129,604,573],"display_cycle":[129,604,573],"intervals":[{"from_index":131,"to_index":567,"sum":141830,"residue":129},{"from_index":567,"to_index":1003,"sum":139040,"residue":604},{"from_index":1003,"to_index":131,"sum":144233,"residue":573}],"minimal_cycle":[129,604,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[131,567],"circle_positions":653,"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":[132,568,1004],"clock_positions":[132,568,1004],"native_values":[481,98,74],"rotation_degrees":36.330275229357795,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[481,98,74],"beta":{"interval_sums":[141374,139429,144300],"interval_residues":[326,340,640],"display_cycle":[326,340,640],"intervals":[{"from_index":132,"to_index":568,"sum":141374,"residue":326},{"from_index":568,"to_index":1004,"sum":139429,"residue":340},{"from_index":1004,"to_index":132,"sum":144300,"residue":640}],"minimal_cycle":[326,340,640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[132,568],"circle_positions":653,"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":[133,569,1005],"clock_positions":[133,569,1005],"native_values":[622,123,561],"rotation_degrees":36.60550458715596,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,123,561],"beta":{"interval_sums":[140850,139380,144220],"interval_residues":[455,291,560],"display_cycle":[455,291,560],"intervals":[{"from_index":133,"to_index":569,"sum":140850,"residue":455},{"from_index":569,"to_index":1005,"sum":139380,"residue":291},{"from_index":1005,"to_index":133,"sum":144220,"residue":560}],"minimal_cycle":[455,291,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[133,569],"circle_positions":653,"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":[134,570,1006],"clock_positions":[134,570,1006],"native_values":[450,221,635],"rotation_degrees":36.88073394495413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,221,635],"beta":{"interval_sums":[140523,139720,144207],"interval_residues":[128,631,547],"display_cycle":[128,631,547],"intervals":[{"from_index":134,"to_index":570,"sum":140523,"residue":128},{"from_index":570,"to_index":1006,"sum":139720,"residue":631},{"from_index":1006,"to_index":134,"sum":144207,"residue":547}],"minimal_cycle":[128,631,547],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[134,570],"circle_positions":653,"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":[135,571,1007],"clock_positions":[135,571,1007],"native_values":[419,344,543],"rotation_degrees":37.15596330275229,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,344,543],"beta":{"interval_sums":[140325,140011,144114],"interval_residues":[583,269,454],"display_cycle":[583,269,454],"intervals":[{"from_index":135,"to_index":571,"sum":140325,"residue":583},{"from_index":571,"to_index":1007,"sum":140011,"residue":269},{"from_index":1007,"to_index":135,"sum":144114,"residue":454}],"minimal_cycle":[583,269,454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[135,571],"circle_positions":653,"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":[136,572,1008],"clock_positions":[136,572,1008],"native_values":[216,565,525],"rotation_degrees":37.43119266055046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,565,525],"beta":{"interval_sums":[140453,139989,144008],"interval_residues":[58,247,348],"display_cycle":[58,247,348],"intervals":[{"from_index":136,"to_index":572,"sum":140453,"residue":58},{"from_index":572,"to_index":1008,"sum":139989,"residue":247},{"from_index":1008,"to_index":136,"sum":144008,"residue":348}],"minimal_cycle":[58,247,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[136,572],"circle_positions":653,"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":[137,573,1009],"clock_positions":[137,573,1009],"native_values":[635,256,415],"rotation_degrees":37.706422018348626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,256,415],"beta":{"interval_sums":[140383,140258,143809],"interval_residues":[641,516,149],"display_cycle":[641,516,149],"intervals":[{"from_index":137,"to_index":573,"sum":140383,"residue":641},{"from_index":573,"to_index":1009,"sum":140258,"residue":516},{"from_index":1009,"to_index":137,"sum":143809,"residue":149}],"minimal_cycle":[641,516,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[137,573],"circle_positions":653,"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":[138,574,1010],"clock_positions":[138,574,1010],"native_values":[198,168,287],"rotation_degrees":37.981651376146786,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,168,287],"beta":{"interval_sums":[140441,140505,144157],"interval_residues":[46,110,497],"display_cycle":[46,110,497],"intervals":[{"from_index":138,"to_index":574,"sum":140441,"residue":46},{"from_index":574,"to_index":1010,"sum":140505,"residue":110},{"from_index":1010,"to_index":138,"sum":144157,"residue":497}],"minimal_cycle":[46,110,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[138,574],"circle_positions":653,"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":[139,575,1011],"clock_positions":[139,575,1011],"native_values":[180,424,49],"rotation_degrees":38.25688073394495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,424,49],"beta":{"interval_sums":[140429,140368,144306],"interval_residues":[34,626,646],"display_cycle":[34,626,646],"intervals":[{"from_index":139,"to_index":575,"sum":140429,"residue":34},{"from_index":575,"to_index":1011,"sum":140368,"residue":626},{"from_index":1011,"to_index":139,"sum":144306,"residue":646}],"minimal_cycle":[34,626,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[139,575],"circle_positions":653,"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":[140,576,1012],"clock_positions":[140,576,1012],"native_values":[378,592,336],"rotation_degrees":38.53211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,592,336],"beta":{"interval_sums":[140475,139825,144150],"interval_residues":[80,83,490],"display_cycle":[80,83,490],"intervals":[{"from_index":140,"to_index":576,"sum":140475,"residue":80},{"from_index":576,"to_index":1012,"sum":139825,"residue":83},{"from_index":1012,"to_index":140,"sum":144150,"residue":490}],"minimal_cycle":[80,83,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[140,576],"circle_positions":653,"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":[141,577,1013],"clock_positions":[141,577,1013],"native_values":[558,363,385],"rotation_degrees":38.80733944954128,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,363,385],"beta":{"interval_sums":[140509,139798,144143],"interval_residues":[114,56,483],"display_cycle":[114,56,483],"intervals":[{"from_index":141,"to_index":577,"sum":140509,"residue":114},{"from_index":577,"to_index":1013,"sum":139798,"residue":56},{"from_index":1013,"to_index":141,"sum":144143,"residue":483}],"minimal_cycle":[114,56,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[141,577],"circle_positions":653,"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":[142,578,1014],"clock_positions":[142,578,1014],"native_values":[283,302,68],"rotation_degrees":39.08256880733945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,302,68],"beta":{"interval_sums":[140589,139881,144633],"interval_residues":[194,139,320],"display_cycle":[194,139,320],"intervals":[{"from_index":142,"to_index":578,"sum":140589,"residue":194},{"from_index":578,"to_index":1014,"sum":139881,"residue":139},{"from_index":1014,"to_index":142,"sum":144633,"residue":320}],"minimal_cycle":[194,139,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[142,578],"circle_positions":653,"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":[143,579,1015],"clock_positions":[143,579,1015],"native_values":[188,12,453],"rotation_degrees":39.357798165137616,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,12,453],"beta":{"interval_sums":[140703,139937,144463],"interval_residues":[308,195,150],"display_cycle":[308,195,150],"intervals":[{"from_index":143,"to_index":579,"sum":140703,"residue":308},{"from_index":579,"to_index":1015,"sum":139937,"residue":195},{"from_index":1015,"to_index":143,"sum":144463,"residue":150}],"minimal_cycle":[308,195,150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[143,579],"circle_positions":653,"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":[144,580,1016],"clock_positions":[144,580,1016],"native_values":[471,314,521],"rotation_degrees":39.63302752293578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,314,521],"beta":{"interval_sums":[140244,140076,144130],"interval_residues":[502,334,470],"display_cycle":[502,334,470],"intervals":[{"from_index":144,"to_index":580,"sum":140244,"residue":502},{"from_index":580,"to_index":1016,"sum":140076,"residue":334},{"from_index":1016,"to_index":144,"sum":144130,"residue":470}],"minimal_cycle":[502,334,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[144,580],"circle_positions":653,"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":[145,581,1017],"clock_positions":[145,581,1017],"native_values":[6,326,321],"rotation_degrees":39.908256880733944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[6,326,321],"beta":{"interval_sums":[140552,140271,144280],"interval_residues":[157,529,620],"display_cycle":[157,529,620],"intervals":[{"from_index":145,"to_index":581,"sum":140552,"residue":157},{"from_index":581,"to_index":1017,"sum":140271,"residue":529},{"from_index":1017,"to_index":145,"sum":144280,"residue":620}],"minimal_cycle":[157,529,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[145,581],"circle_positions":653,"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":[146,582,1018],"clock_positions":[146,582,1018],"native_values":[477,640,189],"rotation_degrees":40.18348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,640,189],"beta":{"interval_sums":[140401,139952,144097],"interval_residues":[6,210,437],"display_cycle":[6,210,437],"intervals":[{"from_index":146,"to_index":582,"sum":140401,"residue":6},{"from_index":582,"to_index":1018,"sum":139952,"residue":210},{"from_index":1018,"to_index":146,"sum":144097,"residue":437}],"minimal_cycle":[6,210,437],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[146,582],"circle_positions":653,"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":[147,583,1019],"clock_positions":[147,583,1019],"native_values":[483,313,510],"rotation_degrees":40.45871559633027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,313,510],"beta":{"interval_sums":[140558,139828,144064],"interval_residues":[163,86,404],"display_cycle":[163,86,404],"intervals":[{"from_index":147,"to_index":583,"sum":140558,"residue":163},{"from_index":583,"to_index":1019,"sum":139828,"residue":86},{"from_index":1019,"to_index":147,"sum":144064,"residue":404}],"minimal_cycle":[163,86,404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[147,583],"circle_positions":653,"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":[148,584,1020],"clock_positions":[148,584,1020],"native_values":[307,300,46],"rotation_degrees":40.73394495412844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,300,46],"beta":{"interval_sums":[140564,140038,144501],"interval_residues":[169,296,188],"display_cycle":[169,296,188],"intervals":[{"from_index":148,"to_index":584,"sum":140564,"residue":169},{"from_index":584,"to_index":1020,"sum":140038,"residue":296},{"from_index":1020,"to_index":148,"sum":144501,"residue":188}],"minimal_cycle":[169,296,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[148,584],"circle_positions":653,"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":[149,585,1021],"clock_positions":[149,585,1021],"native_values":[137,613,556],"rotation_degrees":41.00917431192661,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,613,556],"beta":{"interval_sums":[140727,139471,144252],"interval_residues":[332,382,592],"display_cycle":[332,382,592],"intervals":[{"from_index":149,"to_index":585,"sum":140727,"residue":332},{"from_index":585,"to_index":1021,"sum":139471,"residue":382},{"from_index":1021,"to_index":149,"sum":144252,"residue":592}],"minimal_cycle":[332,382,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[149,585],"circle_positions":653,"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":[150,586,1022],"clock_positions":[150,586,1022],"native_values":[444,260,602],"rotation_degrees":41.28440366972477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,260,602],"beta":{"interval_sums":[140896,139767,143787],"interval_residues":[501,25,127],"display_cycle":[501,25,127],"intervals":[{"from_index":150,"to_index":586,"sum":140896,"residue":501},{"from_index":586,"to_index":1022,"sum":139767,"residue":25},{"from_index":1022,"to_index":150,"sum":143787,"residue":127}],"minimal_cycle":[501,25,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[150,586],"circle_positions":653,"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":[151,587,1023],"clock_positions":[151,587,1023],"native_values":[581,220,505],"rotation_degrees":41.559633027522935,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,220,505],"beta":{"interval_sums":[140575,140149,143726],"interval_residues":[180,407,66],"display_cycle":[180,407,66],"intervals":[{"from_index":151,"to_index":587,"sum":140575,"residue":180},{"from_index":587,"to_index":1023,"sum":140149,"residue":407},{"from_index":1023,"to_index":151,"sum":143726,"residue":66}],"minimal_cycle":[180,407,66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[151,587],"circle_positions":653,"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":[152,588,1024],"clock_positions":[152,588,1024],"native_values":[372,480,454],"rotation_degrees":41.8348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,480,454],"beta":{"interval_sums":[140423,140174,143853],"interval_residues":[28,432,193],"display_cycle":[28,432,193],"intervals":[{"from_index":152,"to_index":588,"sum":140423,"residue":28},{"from_index":588,"to_index":1024,"sum":140174,"residue":432},{"from_index":1024,"to_index":152,"sum":143853,"residue":193}],"minimal_cycle":[28,432,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[152,588],"circle_positions":653,"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":[153,589,1025],"clock_positions":[153,589,1025],"native_values":[300,47,306],"rotation_degrees":42.11009174311926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,47,306],"beta":{"interval_sums":[140603,140581,143919],"interval_residues":[208,186,259],"display_cycle":[208,186,259],"intervals":[{"from_index":153,"to_index":589,"sum":140603,"residue":208},{"from_index":589,"to_index":1025,"sum":140581,"residue":186},{"from_index":1025,"to_index":153,"sum":143919,"residue":259}],"minimal_cycle":[208,186,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[153,589],"circle_positions":653,"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":[154,590,1026],"clock_positions":[154,590,1026],"native_values":[19,527,107],"rotation_degrees":42.38532110091743,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,527,107],"beta":{"interval_sums":[140631,140360,144112],"interval_residues":[236,618,452],"display_cycle":[236,618,452],"intervals":[{"from_index":154,"to_index":590,"sum":140631,"residue":236},{"from_index":590,"to_index":1026,"sum":140360,"residue":618},{"from_index":1026,"to_index":154,"sum":144112,"residue":452}],"minimal_cycle":[236,618,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[154,590],"circle_positions":653,"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":[155,591,1027],"clock_positions":[155,591,1027],"native_values":[319,574,413],"rotation_degrees":42.6605504587156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,574,413],"beta":{"interval_sums":[140839,139893,143718],"interval_residues":[444,151,58],"display_cycle":[444,151,58],"intervals":[{"from_index":155,"to_index":591,"sum":140839,"residue":444},{"from_index":591,"to_index":1027,"sum":139893,"residue":151},{"from_index":1027,"to_index":155,"sum":143718,"residue":58}],"minimal_cycle":[444,151,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[155,591],"circle_positions":653,"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":[156,592,1028],"clock_positions":[156,592,1028],"native_values":[338,448,520],"rotation_degrees":42.93577981651376,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,448,520],"beta":{"interval_sums":[141075,139858,143517],"interval_residues":[27,116,510],"display_cycle":[27,116,510],"intervals":[{"from_index":156,"to_index":592,"sum":141075,"residue":27},{"from_index":592,"to_index":1028,"sum":139858,"residue":116},{"from_index":1028,"to_index":156,"sum":143517,"residue":510}],"minimal_cycle":[27,116,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[156,592],"circle_positions":653,"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":[157,593,1029],"clock_positions":[157,593,1029],"native_values":[4,369,280],"rotation_degrees":43.211009174311926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,369,280],"beta":{"interval_sums":[141519,140009,143575],"interval_residues":[471,267,568],"display_cycle":[471,267,568],"intervals":[{"from_index":157,"to_index":593,"sum":141519,"residue":471},{"from_index":593,"to_index":1029,"sum":140009,"residue":267},{"from_index":1029,"to_index":157,"sum":143575,"residue":568}],"minimal_cycle":[471,267,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[157,593],"circle_positions":653,"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":[158,594,1030],"clock_positions":[158,594,1030],"native_values":[342,164,147],"rotation_degrees":43.48623853211009,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[342,164,147],"beta":{"interval_sums":[141546,140125,143432],"interval_residues":[498,383,425],"display_cycle":[498,383,425],"intervals":[{"from_index":158,"to_index":594,"sum":141546,"residue":498},{"from_index":594,"to_index":1030,"sum":140125,"residue":383},{"from_index":1030,"to_index":158,"sum":143432,"residue":425}],"minimal_cycle":[498,383,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[158,594],"circle_positions":653,"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":[159,595,1031],"clock_positions":[159,595,1031],"native_values":[346,533,427],"rotation_degrees":43.76146788990825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,533,427],"beta":{"interval_sums":[141364,139739,143347],"interval_residues":[316,650,340],"display_cycle":[316,650,340],"intervals":[{"from_index":159,"to_index":595,"sum":141364,"residue":316},{"from_index":595,"to_index":1031,"sum":139739,"residue":650},{"from_index":1031,"to_index":159,"sum":143347,"residue":340}],"minimal_cycle":[316,650,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[159,595],"circle_positions":653,"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":[160,596,1032],"clock_positions":[160,596,1032],"native_values":[35,44,574],"rotation_degrees":44.03669724770642,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,44,574],"beta":{"interval_sums":[141862,140122,143119],"interval_residues":[161,380,112],"display_cycle":[161,380,112],"intervals":[{"from_index":160,"to_index":596,"sum":141862,"residue":161},{"from_index":596,"to_index":1032,"sum":140122,"residue":380},{"from_index":1032,"to_index":160,"sum":143119,"residue":112}],"minimal_cycle":[161,380,112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":161,"start_interval_clock_positions":[160,596],"circle_positions":653,"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":[161,597,1033],"clock_positions":[161,597,1033],"native_values":[381,577,348],"rotation_degrees":44.31192660550459,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,577,348],"beta":{"interval_sums":[141525,140119,142806],"interval_residues":[477,377,452],"display_cycle":[477,377,452],"intervals":[{"from_index":161,"to_index":597,"sum":141525,"residue":477},{"from_index":597,"to_index":1033,"sum":140119,"residue":377},{"from_index":1033,"to_index":161,"sum":142806,"residue":452}],"minimal_cycle":[477,377,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":477,"start_interval_clock_positions":[161,597],"circle_positions":653,"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":[162,598,1034],"clock_positions":[162,598,1034],"native_values":[416,621,269],"rotation_degrees":44.58715596330275,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,621,269],"beta":{"interval_sums":[141686,139846,142918],"interval_residues":[638,104,564],"display_cycle":[638,104,564],"intervals":[{"from_index":162,"to_index":598,"sum":141686,"residue":638},{"from_index":598,"to_index":1034,"sum":139846,"residue":104},{"from_index":1034,"to_index":162,"sum":142918,"residue":564}],"minimal_cycle":[638,104,564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[162,598],"circle_positions":653,"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":[163,599,1035],"clock_positions":[163,599,1035],"native_values":[144,545,617],"rotation_degrees":44.862385321100916,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,545,617],"beta":{"interval_sums":[142163,139570,142717],"interval_residues":[462,481,363],"display_cycle":[462,481,363],"intervals":[{"from_index":163,"to_index":599,"sum":142163,"residue":462},{"from_index":599,"to_index":1035,"sum":139570,"residue":481},{"from_index":1035,"to_index":163,"sum":142717,"residue":363}],"minimal_cycle":[462,481,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[163,599],"circle_positions":653,"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":[164,600,1036],"clock_positions":[164,600,1036],"native_values":[560,513,233],"rotation_degrees":45.137614678899084,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,513,233],"beta":{"interval_sums":[142148,139674,142628],"interval_residues":[447,585,274],"display_cycle":[447,585,274],"intervals":[{"from_index":164,"to_index":600,"sum":142148,"residue":447},{"from_index":600,"to_index":1036,"sum":139674,"residue":585},{"from_index":1036,"to_index":164,"sum":142628,"residue":274}],"minimal_cycle":[447,585,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":447,"start_interval_clock_positions":[164,600],"circle_positions":653,"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":[165,601,1037],"clock_positions":[165,601,1037],"native_values":[51,405,197],"rotation_degrees":45.41284403669725,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,405,197],"beta":{"interval_sums":[142610,139502,142991],"interval_residues":[256,413,637],"display_cycle":[256,413,637],"intervals":[{"from_index":165,"to_index":601,"sum":142610,"residue":256},{"from_index":601,"to_index":1037,"sum":139502,"residue":413},{"from_index":1037,"to_index":165,"sum":142991,"residue":637}],"minimal_cycle":[256,413,637],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[165,601],"circle_positions":653,"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":[166,602,1038],"clock_positions":[166,602,1038],"native_values":[611,265,430],"rotation_degrees":45.68807339449541,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,265,430],"beta":{"interval_sums":[142404,139434,142612],"interval_residues":[50,345,258],"display_cycle":[50,345,258],"intervals":[{"from_index":166,"to_index":602,"sum":142404,"residue":50},{"from_index":602,"to_index":1038,"sum":139434,"residue":345},{"from_index":1038,"to_index":166,"sum":142612,"residue":258}],"minimal_cycle":[50,345,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[166,602],"circle_positions":653,"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":[167,603,1039],"clock_positions":[167,603,1039],"native_values":[9,17,627],"rotation_degrees":45.96330275229358,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,17,627],"beta":{"interval_sums":[142660,139847,142596],"interval_residues":[306,105,242],"display_cycle":[306,105,242],"intervals":[{"from_index":167,"to_index":603,"sum":142660,"residue":306},{"from_index":603,"to_index":1039,"sum":139847,"residue":105},{"from_index":1039,"to_index":167,"sum":142596,"residue":242}],"minimal_cycle":[306,105,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[167,603],"circle_positions":653,"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":[168,604,1040],"clock_positions":[168,604,1040],"native_values":[620,282,404],"rotation_degrees":46.23853211009175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[620,282,404],"beta":{"interval_sums":[142057,140192,142201],"interval_residues":[356,450,500],"display_cycle":[356,450,500],"intervals":[{"from_index":168,"to_index":604,"sum":142057,"residue":356},{"from_index":604,"to_index":1040,"sum":140192,"residue":450},{"from_index":1040,"to_index":168,"sum":142201,"residue":500}],"minimal_cycle":[356,450,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[168,604],"circle_positions":653,"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":[169,605,1041],"clock_positions":[169,605,1041],"native_values":[629,299,378],"rotation_degrees":46.51376146788991,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,299,378],"beta":{"interval_sums":[141710,140297,142443],"interval_residues":[9,555,89],"display_cycle":[9,555,89],"intervals":[{"from_index":169,"to_index":605,"sum":141710,"residue":9},{"from_index":605,"to_index":1041,"sum":140297,"residue":555},{"from_index":1041,"to_index":169,"sum":142443,"residue":89}],"minimal_cycle":[9,555,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":9,"start_interval_clock_positions":[169,605],"circle_positions":653,"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":[170,606,1042],"clock_positions":[170,606,1042],"native_values":[596,581,129],"rotation_degrees":46.788990825688074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,581,129],"beta":{"interval_sums":[141413,140094,142943],"interval_residues":[365,352,589],"display_cycle":[365,352,589],"intervals":[{"from_index":170,"to_index":606,"sum":141413,"residue":365},{"from_index":606,"to_index":1042,"sum":140094,"residue":352},{"from_index":1042,"to_index":170,"sum":142943,"residue":589}],"minimal_cycle":[365,352,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[170,606],"circle_positions":653,"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":[171,607,1043],"clock_positions":[171,607,1043],"native_values":[572,227,507],"rotation_degrees":47.06422018348624,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[572,227,507],"beta":{"interval_sums":[141422,139996,143032],"interval_residues":[374,254,25],"display_cycle":[374,254,25],"intervals":[{"from_index":171,"to_index":607,"sum":141422,"residue":374},{"from_index":607,"to_index":1043,"sum":139996,"residue":254},{"from_index":1043,"to_index":171,"sum":143032,"residue":25}],"minimal_cycle":[374,254,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[171,607],"circle_positions":653,"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":[172,608,1044],"clock_positions":[172,608,1044],"native_values":[515,155,636],"rotation_degrees":47.3394495412844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,155,636],"beta":{"interval_sums":[141134,140348,142968],"interval_residues":[86,606,614],"display_cycle":[86,606,614],"intervals":[{"from_index":172,"to_index":608,"sum":141134,"residue":86},{"from_index":608,"to_index":1044,"sum":140348,"residue":606},{"from_index":1044,"to_index":172,"sum":142968,"residue":614}],"minimal_cycle":[86,606,614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[172,608],"circle_positions":653,"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":[173,609,1045],"clock_positions":[173,609,1045],"native_values":[434,382,490],"rotation_degrees":47.61467889908257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,382,490],"beta":{"interval_sums":[140855,140602,142993],"interval_residues":[460,207,639],"display_cycle":[460,207,639],"intervals":[{"from_index":173,"to_index":609,"sum":140855,"residue":460},{"from_index":609,"to_index":1045,"sum":140602,"residue":207},{"from_index":1045,"to_index":173,"sum":142993,"residue":639}],"minimal_cycle":[460,207,639],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[173,609],"circle_positions":653,"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":[174,610,1046],"clock_positions":[174,610,1046],"native_values":[296,537,473],"rotation_degrees":47.88990825688074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,537,473],"beta":{"interval_sums":[140941,140555,142954],"interval_residues":[546,160,600],"display_cycle":[546,160,600],"intervals":[{"from_index":174,"to_index":610,"sum":140941,"residue":546},{"from_index":610,"to_index":1046,"sum":140555,"residue":160},{"from_index":1046,"to_index":174,"sum":142954,"residue":600}],"minimal_cycle":[546,160,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[174,610],"circle_positions":653,"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":[175,611,1047],"clock_positions":[175,611,1047],"native_values":[77,266,310],"rotation_degrees":48.1651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,266,310],"beta":{"interval_sums":[141401,140762,142940],"interval_residues":[353,367,586],"display_cycle":[353,367,586],"intervals":[{"from_index":175,"to_index":611,"sum":141401,"residue":353},{"from_index":611,"to_index":1047,"sum":140762,"residue":367},{"from_index":1047,"to_index":175,"sum":142940,"residue":586}],"minimal_cycle":[353,367,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[175,611],"circle_positions":653,"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":[176,612,1048],"clock_positions":[176,612,1048],"native_values":[373,150,130],"rotation_degrees":48.440366972477065,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,150,130],"beta":{"interval_sums":[141294,140922,142887],"interval_residues":[246,527,533],"display_cycle":[246,527,533],"intervals":[{"from_index":176,"to_index":612,"sum":141294,"residue":246},{"from_index":612,"to_index":1048,"sum":140922,"residue":527},{"from_index":1048,"to_index":176,"sum":142887,"residue":533}],"minimal_cycle":[246,527,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[176,612],"circle_positions":653,"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":[177,613,1049],"clock_positions":[177,613,1049],"native_values":[450,416,440],"rotation_degrees":48.71559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,416,440],"beta":{"interval_sums":[140994,140636,142820],"interval_residues":[599,241,466],"display_cycle":[599,241,466],"intervals":[{"from_index":177,"to_index":613,"sum":140994,"residue":599},{"from_index":613,"to_index":1049,"sum":140636,"residue":241},{"from_index":1049,"to_index":177,"sum":142820,"residue":466}],"minimal_cycle":[599,241,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[177,613],"circle_positions":653,"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":[178,614,1050],"clock_positions":[178,614,1050],"native_values":[170,566,570],"rotation_degrees":48.99082568807339,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,566,570],"beta":{"interval_sums":[141240,140510,142700],"interval_residues":[192,115,346],"display_cycle":[192,115,346],"intervals":[{"from_index":178,"to_index":614,"sum":141240,"residue":192},{"from_index":614,"to_index":1050,"sum":140510,"residue":115},{"from_index":1050,"to_index":178,"sum":142700,"residue":346}],"minimal_cycle":[192,115,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[178,614],"circle_positions":653,"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":[179,615,1051],"clock_positions":[179,615,1051],"native_values":[620,329,357],"rotation_degrees":49.26605504587156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[620,329,357],"beta":{"interval_sums":[141186,140751,142513],"interval_residues":[138,356,159],"display_cycle":[138,356,159],"intervals":[{"from_index":179,"to_index":615,"sum":141186,"residue":138},{"from_index":615,"to_index":1051,"sum":140751,"residue":356},{"from_index":1051,"to_index":179,"sum":142513,"residue":159}],"minimal_cycle":[138,356,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[179,615],"circle_positions":653,"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":[180,616,1052],"clock_positions":[180,616,1052],"native_values":[137,242,274],"rotation_degrees":49.54128440366973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,242,274],"beta":{"interval_sums":[141378,140866,142859],"interval_residues":[330,471,505],"display_cycle":[330,471,505],"intervals":[{"from_index":180,"to_index":616,"sum":141378,"residue":330},{"from_index":616,"to_index":1052,"sum":140866,"residue":471},{"from_index":1052,"to_index":180,"sum":142859,"residue":505}],"minimal_cycle":[330,471,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[180,616],"circle_positions":653,"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":[181,617,1053],"clock_positions":[181,617,1053],"native_values":[104,571,631],"rotation_degrees":49.81651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,571,631],"beta":{"interval_sums":[141516,140569,142365],"interval_residues":[468,174,11],"display_cycle":[468,174,11],"intervals":[{"from_index":181,"to_index":617,"sum":141516,"residue":468},{"from_index":617,"to_index":1053,"sum":140569,"residue":174},{"from_index":1053,"to_index":181,"sum":142365,"residue":11}],"minimal_cycle":[468,174,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[181,617],"circle_positions":653,"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":[182,618,1054],"clock_positions":[182,618,1054],"native_values":[241,160,252],"rotation_degrees":50.091743119266056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,160,252],"beta":{"interval_sums":[141846,141040,142217],"interval_residues":[145,645,516],"display_cycle":[145,645,516],"intervals":[{"from_index":182,"to_index":618,"sum":141846,"residue":145},{"from_index":618,"to_index":1054,"sum":141040,"residue":645},{"from_index":1054,"to_index":182,"sum":142217,"residue":516}],"minimal_cycle":[145,645,516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[182,618],"circle_positions":653,"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":[183,619,1055],"clock_positions":[183,619,1055],"native_values":[345,78,230],"rotation_degrees":50.36697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,78,230],"beta":{"interval_sums":[141661,141214,142228],"interval_residues":[613,166,527],"display_cycle":[613,166,527],"intervals":[{"from_index":183,"to_index":619,"sum":141661,"residue":613},{"from_index":619,"to_index":1055,"sum":141214,"residue":166},{"from_index":1055,"to_index":183,"sum":142228,"residue":527}],"minimal_cycle":[613,166,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[183,619],"circle_positions":653,"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":[184,620,1056],"clock_positions":[184,620,1056],"native_values":[586,238,482],"rotation_degrees":50.642201834862384,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,238,482],"beta":{"interval_sums":[141153,141206,142091],"interval_residues":[105,158,390],"display_cycle":[105,158,390],"intervals":[{"from_index":184,"to_index":620,"sum":141153,"residue":105},{"from_index":620,"to_index":1056,"sum":141206,"residue":158},{"from_index":1056,"to_index":184,"sum":142091,"residue":390}],"minimal_cycle":[105,158,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[184,620],"circle_positions":653,"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":[185,621,1057],"clock_positions":[185,621,1057],"native_values":[278,316,59],"rotation_degrees":50.91743119266055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,316,59],"beta":{"interval_sums":[141113,141372,142618],"interval_residues":[65,324,264],"display_cycle":[65,324,264],"intervals":[{"from_index":185,"to_index":621,"sum":141113,"residue":65},{"from_index":621,"to_index":1057,"sum":141372,"residue":324},{"from_index":1057,"to_index":185,"sum":142618,"residue":264}],"minimal_cycle":[65,324,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[185,621],"circle_positions":653,"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":[186,622,1058],"clock_positions":[186,622,1058],"native_values":[211,554,541],"rotation_degrees":51.19266055045872,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,554,541],"beta":{"interval_sums":[141218,140877,142355],"interval_residues":[170,482,1],"display_cycle":[170,482,1],"intervals":[{"from_index":186,"to_index":622,"sum":141218,"residue":170},{"from_index":622,"to_index":1058,"sum":140877,"residue":482},{"from_index":1058,"to_index":186,"sum":142355,"residue":1}],"minimal_cycle":[170,482,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[186,622],"circle_positions":653,"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":[187,623,1059],"clock_positions":[187,623,1059],"native_values":[489,217,600],"rotation_degrees":51.46788990825688,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[489,217,600],"beta":{"interval_sums":[141283,141201,141966],"interval_residues":[235,153,265],"display_cycle":[235,153,265],"intervals":[{"from_index":187,"to_index":623,"sum":141283,"residue":235},{"from_index":623,"to_index":1059,"sum":141201,"residue":153},{"from_index":1059,"to_index":187,"sum":141966,"residue":265}],"minimal_cycle":[235,153,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[187,623],"circle_positions":653,"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":[188,624,1060],"clock_positions":[188,624,1060],"native_values":[47,118,488],"rotation_degrees":51.74311926605505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,118,488],"beta":{"interval_sums":[141453,141683,141967],"interval_residues":[405,635,266],"display_cycle":[405,635,266],"intervals":[{"from_index":188,"to_index":624,"sum":141453,"residue":405},{"from_index":624,"to_index":1060,"sum":141683,"residue":635},{"from_index":1060,"to_index":188,"sum":141967,"residue":266}],"minimal_cycle":[405,635,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[188,624],"circle_positions":653,"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":[189,625,1061],"clock_positions":[189,625,1061],"native_values":[536,335,435],"rotation_degrees":52.018348623853214,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,335,435],"beta":{"interval_sums":[141035,141836,141579],"interval_residues":[640,135,531],"display_cycle":[640,135,531],"intervals":[{"from_index":189,"to_index":625,"sum":141035,"residue":640},{"from_index":625,"to_index":1061,"sum":141836,"residue":135},{"from_index":1061,"to_index":189,"sum":141579,"residue":531}],"minimal_cycle":[640,135,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[189,625],"circle_positions":653,"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":[190,626,1062],"clock_positions":[190,626,1062],"native_values":[583,453,270],"rotation_degrees":52.293577981651374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,453,270],"beta":{"interval_sums":[140787,141818,141845],"interval_residues":[392,117,144],"display_cycle":[392,117,144],"intervals":[{"from_index":190,"to_index":626,"sum":140787,"residue":392},{"from_index":626,"to_index":1062,"sum":141818,"residue":117},{"from_index":1062,"to_index":190,"sum":141845,"residue":144}],"minimal_cycle":[392,117,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[190,626],"circle_positions":653,"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":[191,627,1063],"clock_positions":[191,627,1063],"native_values":[466,135,52],"rotation_degrees":52.56880733944954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,135,52],"beta":{"interval_sums":[140774,141953,142376],"interval_residues":[379,252,22],"display_cycle":[379,252,22],"intervals":[{"from_index":191,"to_index":627,"sum":140774,"residue":379},{"from_index":627,"to_index":1063,"sum":141953,"residue":252},{"from_index":1063,"to_index":191,"sum":142376,"residue":22}],"minimal_cycle":[379,252,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[191,627],"circle_positions":653,"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":[192,628,1064],"clock_positions":[192,628,1064],"native_values":[396,588,322],"rotation_degrees":52.84403669724771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,588,322],"beta":{"interval_sums":[140513,141417,142520],"interval_residues":[118,369,166],"display_cycle":[118,369,166],"intervals":[{"from_index":192,"to_index":628,"sum":140513,"residue":118},{"from_index":628,"to_index":1064,"sum":141417,"residue":369},{"from_index":1064,"to_index":192,"sum":142520,"residue":166}],"minimal_cycle":[118,369,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[192,628],"circle_positions":653,"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":[193,629,1065],"clock_positions":[193,629,1065],"native_values":[209,70,374],"rotation_degrees":53.11926605504587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,70,374],"beta":{"interval_sums":[140892,141669,142542],"interval_residues":[497,621,188],"display_cycle":[497,621,188],"intervals":[{"from_index":193,"to_index":629,"sum":140892,"residue":497},{"from_index":629,"to_index":1065,"sum":141669,"residue":621},{"from_index":1065,"to_index":193,"sum":142542,"residue":188}],"minimal_cycle":[497,621,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[193,629],"circle_positions":653,"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":[194,630,1066],"clock_positions":[194,630,1066],"native_values":[605,5,43],"rotation_degrees":53.39449541284404,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,5,43],"beta":{"interval_sums":[140357,142038,142708],"interval_residues":[615,337,354],"display_cycle":[615,337,354],"intervals":[{"from_index":194,"to_index":630,"sum":140357,"residue":615},{"from_index":630,"to_index":1066,"sum":142038,"residue":337},{"from_index":1066,"to_index":194,"sum":142708,"residue":354}],"minimal_cycle":[615,337,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[194,630],"circle_positions":653,"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":[195,631,1067],"clock_positions":[195,631,1067],"native_values":[161,75,417],"rotation_degrees":53.669724770642205,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,75,417],"beta":{"interval_sums":[140201,142006,142896],"interval_residues":[459,305,542],"display_cycle":[459,305,542],"intervals":[{"from_index":195,"to_index":631,"sum":140201,"residue":459},{"from_index":631,"to_index":1067,"sum":142006,"residue":305},{"from_index":1067,"to_index":195,"sum":142896,"residue":542}],"minimal_cycle":[459,305,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":459,"start_interval_clock_positions":[195,631],"circle_positions":653,"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":[196,632,1068],"clock_positions":[196,632,1068],"native_values":[113,80,460],"rotation_degrees":53.944954128440365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,80,460],"beta":{"interval_sums":[140163,142343,142597],"interval_residues":[421,642,243],"display_cycle":[421,642,243],"intervals":[{"from_index":196,"to_index":632,"sum":140163,"residue":421},{"from_index":632,"to_index":1068,"sum":142343,"residue":642},{"from_index":1068,"to_index":196,"sum":142597,"residue":243}],"minimal_cycle":[421,642,243],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[196,632],"circle_positions":653,"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":[197,633,1069],"clock_positions":[197,633,1069],"native_values":[274,155,224],"rotation_degrees":54.22018348623853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[274,155,224],"beta":{"interval_sums":[139969,142648,142486],"interval_residues":[227,294,132],"display_cycle":[227,294,132],"intervals":[{"from_index":197,"to_index":633,"sum":139969,"residue":227},{"from_index":633,"to_index":1069,"sum":142648,"residue":294},{"from_index":1069,"to_index":197,"sum":142486,"residue":132}],"minimal_cycle":[227,294,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[197,633],"circle_positions":653,"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":[198,634,1070],"clock_positions":[198,634,1070],"native_values":[387,235,31],"rotation_degrees":54.4954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,235,31],"beta":{"interval_sums":[139737,142637,142729],"interval_residues":[648,283,375],"display_cycle":[648,283,375],"intervals":[{"from_index":198,"to_index":634,"sum":139737,"residue":648},{"from_index":634,"to_index":1070,"sum":142637,"residue":283},{"from_index":1070,"to_index":198,"sum":142729,"residue":375}],"minimal_cycle":[648,283,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[198,634],"circle_positions":653,"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":[199,635,1071],"clock_positions":[199,635,1071],"native_values":[8,390,255],"rotation_degrees":54.77064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,390,255],"beta":{"interval_sums":[139964,142278,142861],"interval_residues":[222,577,507],"display_cycle":[222,577,507],"intervals":[{"from_index":199,"to_index":635,"sum":139964,"residue":222},{"from_index":635,"to_index":1071,"sum":142278,"residue":577},{"from_index":1071,"to_index":199,"sum":142861,"residue":507}],"minimal_cycle":[222,577,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[199,635],"circle_positions":653,"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":[200,636,1072],"clock_positions":[200,636,1072],"native_values":[395,625,286],"rotation_degrees":55.04587155963303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[395,625,286],"beta":{"interval_sums":[139959,141908,142583],"interval_residues":[217,207,229],"display_cycle":[217,207,229],"intervals":[{"from_index":200,"to_index":636,"sum":139959,"residue":217},{"from_index":636,"to_index":1072,"sum":141908,"residue":207},{"from_index":1072,"to_index":200,"sum":142583,"residue":229}],"minimal_cycle":[217,207,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":217,"start_interval_clock_positions":[200,636],"circle_positions":653,"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":[201,637,1073],"clock_positions":[201,637,1073],"native_values":[403,362,541],"rotation_degrees":55.321100917431195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,362,541],"beta":{"interval_sums":[140181,141832,142437],"interval_residues":[439,131,83],"display_cycle":[439,131,83],"intervals":[{"from_index":201,"to_index":637,"sum":140181,"residue":439},{"from_index":637,"to_index":1073,"sum":141832,"residue":131},{"from_index":1073,"to_index":201,"sum":142437,"residue":83}],"minimal_cycle":[439,131,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[201,637],"circle_positions":653,"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":[202,638,1074],"clock_positions":[202,638,1074],"native_values":[145,334,174],"rotation_degrees":55.596330275229356,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,334,174],"beta":{"interval_sums":[140398,142039,142666],"interval_residues":[3,338,312],"display_cycle":[3,338,312],"intervals":[{"from_index":202,"to_index":638,"sum":140398,"residue":3},{"from_index":638,"to_index":1074,"sum":142039,"residue":338},{"from_index":1074,"to_index":202,"sum":142666,"residue":312}],"minimal_cycle":[3,338,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[202,638],"circle_positions":653,"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":[203,639,1075],"clock_positions":[203,639,1075],"native_values":[548,43,62],"rotation_degrees":55.87155963302752,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,43,62],"beta":{"interval_sums":[140184,142170,142749],"interval_residues":[442,469,395],"display_cycle":[442,469,395],"intervals":[{"from_index":203,"to_index":639,"sum":140184,"residue":442},{"from_index":639,"to_index":1075,"sum":142170,"residue":469},{"from_index":1075,"to_index":203,"sum":142749,"residue":395}],"minimal_cycle":[442,469,395],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[203,639],"circle_positions":653,"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":[204,640,1076],"clock_positions":[204,640,1076],"native_values":[40,377,236],"rotation_degrees":56.14678899082569,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,377,236],"beta":{"interval_sums":[140187,141855,143061],"interval_residues":[445,154,54],"display_cycle":[445,154,54],"intervals":[{"from_index":204,"to_index":640,"sum":140187,"residue":445},{"from_index":640,"to_index":1076,"sum":141855,"residue":154},{"from_index":1076,"to_index":204,"sum":143061,"residue":54}],"minimal_cycle":[445,154,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":445,"start_interval_clock_positions":[204,640],"circle_positions":653,"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":[205,641,1077],"clock_positions":[205,641,1077],"native_values":[588,420,298],"rotation_degrees":56.42201834862385,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,420,298],"beta":{"interval_sums":[139976,141671,142803],"interval_residues":[234,623,449],"display_cycle":[234,623,449],"intervals":[{"from_index":205,"to_index":641,"sum":139976,"residue":234},{"from_index":641,"to_index":1077,"sum":141671,"residue":623},{"from_index":1077,"to_index":205,"sum":142803,"residue":449}],"minimal_cycle":[234,623,449],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[205,641],"circle_positions":653,"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":[206,642,1078],"clock_positions":[206,642,1078],"native_values":[628,144,534],"rotation_degrees":56.69724770642202,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,144,534],"beta":{"interval_sums":[139768,141825,142857],"interval_residues":[26,124,503],"display_cycle":[26,124,503],"intervals":[{"from_index":206,"to_index":642,"sum":139768,"residue":26},{"from_index":642,"to_index":1078,"sum":141825,"residue":124},{"from_index":1078,"to_index":206,"sum":142857,"residue":503}],"minimal_cycle":[26,124,503],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[206,642],"circle_positions":653,"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":[207,643,1079],"clock_positions":[207,643,1079],"native_values":[563,564,179],"rotation_degrees":56.972477064220186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,564,179],"beta":{"interval_sums":[139349,141795,143306],"interval_residues":[260,94,299],"display_cycle":[260,94,299],"intervals":[{"from_index":207,"to_index":643,"sum":139349,"residue":260},{"from_index":643,"to_index":1079,"sum":141795,"residue":94},{"from_index":1079,"to_index":207,"sum":143306,"residue":299}],"minimal_cycle":[260,94,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[207,643],"circle_positions":653,"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":[208,644,1080],"clock_positions":[208,644,1080],"native_values":[538,55,60],"rotation_degrees":57.24770642201835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,55,60],"beta":{"interval_sums":[139375,141919,143809],"interval_residues":[286,218,149],"display_cycle":[286,218,149],"intervals":[{"from_index":208,"to_index":644,"sum":139375,"residue":286},{"from_index":644,"to_index":1080,"sum":141919,"residue":218},{"from_index":1080,"to_index":208,"sum":143809,"residue":149}],"minimal_cycle":[286,218,149],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[208,644],"circle_positions":653,"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":[209,645,1081],"clock_positions":[209,645,1081],"native_values":[448,619,239],"rotation_degrees":57.522935779816514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,619,239],"beta":{"interval_sums":[138982,141360,144108],"interval_residues":[546,312,448],"display_cycle":[546,312,448],"intervals":[{"from_index":209,"to_index":645,"sum":138982,"residue":546},{"from_index":645,"to_index":1081,"sum":141360,"residue":312},{"from_index":1081,"to_index":209,"sum":144108,"residue":448}],"minimal_cycle":[546,312,448],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[209,645],"circle_positions":653,"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":[210,646,1082],"clock_positions":[210,646,1082],"native_values":[333,21,299],"rotation_degrees":57.79816513761468,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,21,299],"beta":{"interval_sums":[139268,141578,144257],"interval_residues":[179,530,597],"display_cycle":[179,530,597],"intervals":[{"from_index":210,"to_index":646,"sum":139268,"residue":179},{"from_index":646,"to_index":1082,"sum":141578,"residue":530},{"from_index":1082,"to_index":210,"sum":144257,"residue":597}],"minimal_cycle":[179,530,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":179,"start_interval_clock_positions":[210,646],"circle_positions":653,"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":[211,647,1083],"clock_positions":[211,647,1083],"native_values":[128,640,538],"rotation_degrees":58.07339449541284,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,640,538],"beta":{"interval_sums":[139161,141237,144052],"interval_residues":[72,189,392],"display_cycle":[72,189,392],"intervals":[{"from_index":211,"to_index":647,"sum":139161,"residue":72},{"from_index":647,"to_index":1083,"sum":141237,"residue":189},{"from_index":1083,"to_index":211,"sum":144052,"residue":392}],"minimal_cycle":[72,189,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[211,647],"circle_positions":653,"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":[212,648,1084],"clock_positions":[212,648,1084],"native_values":[461,8,184],"rotation_degrees":58.34862385321101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,8,184],"beta":{"interval_sums":[139340,141767,143996],"interval_residues":[251,66,336],"display_cycle":[251,66,336],"intervals":[{"from_index":212,"to_index":648,"sum":139340,"residue":251},{"from_index":648,"to_index":1084,"sum":141767,"residue":66},{"from_index":1084,"to_index":212,"sum":143996,"residue":336}],"minimal_cycle":[251,66,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[212,648],"circle_positions":653,"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":[213,649,1085],"clock_positions":[213,649,1085],"native_values":[589,648,69],"rotation_degrees":58.62385321100918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,648,69],"beta":{"interval_sums":[138759,141303,144388],"interval_residues":[323,255,75],"display_cycle":[323,255,75],"intervals":[{"from_index":213,"to_index":649,"sum":138759,"residue":323},{"from_index":649,"to_index":1085,"sum":141303,"residue":255},{"from_index":1085,"to_index":213,"sum":144388,"residue":75}],"minimal_cycle":[323,255,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[213,649],"circle_positions":653,"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":[214,650,1086],"clock_positions":[214,650,1086],"native_values":[397,3,253],"rotation_degrees":58.89908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,3,253],"beta":{"interval_sums":[139010,141369,144724],"interval_residues":[574,321,411],"display_cycle":[574,321,411],"intervals":[{"from_index":214,"to_index":650,"sum":139010,"residue":574},{"from_index":650,"to_index":1086,"sum":141369,"residue":321},{"from_index":1086,"to_index":214,"sum":144724,"residue":411}],"minimal_cycle":[574,321,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[214,650],"circle_positions":653,"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":[215,651,1087],"clock_positions":[215,651,1087],"native_values":[333,651,322],"rotation_degrees":59.174311926605505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,651,322],"beta":{"interval_sums":[138680,140971,144799],"interval_residues":[244,576,486],"display_cycle":[244,576,486],"intervals":[{"from_index":215,"to_index":651,"sum":138680,"residue":244},{"from_index":651,"to_index":1087,"sum":140971,"residue":576},{"from_index":1087,"to_index":215,"sum":144799,"residue":486}],"minimal_cycle":[244,576,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[215,651],"circle_positions":653,"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":[216,652,1088],"clock_positions":[216,652,1088],"native_values":[77,1,575],"rotation_degrees":59.44954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,1,575],"beta":{"interval_sums":[139254,141292,144557],"interval_residues":[165,244,244],"display_cycle":[165,244,244],"intervals":[{"from_index":216,"to_index":652,"sum":139254,"residue":165},{"from_index":652,"to_index":1088,"sum":141292,"residue":244},{"from_index":1088,"to_index":216,"sum":144557,"residue":244}],"minimal_cycle":[165,244,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[216,652],"circle_positions":653,"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":[217,653,1089],"clock_positions":[217,653,1089],"native_values":[410,652,244],"rotation_degrees":59.72477064220183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,652,244],"beta":{"interval_sums":[138845,141215,144390],"interval_residues":[409,167,77],"display_cycle":[409,167,77],"intervals":[{"from_index":217,"to_index":653,"sum":138845,"residue":409},{"from_index":653,"to_index":1089,"sum":141215,"residue":167},{"from_index":1089,"to_index":217,"sum":144390,"residue":77}],"minimal_cycle":[409,167,77],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[217,653],"circle_positions":653,"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":[218,654,1090],"clock_positions":[218,654,1090],"native_values":[487,653,166],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,653,166],"beta":{"interval_sums":[139010,141459,144634],"interval_residues":[574,411,321],"display_cycle":[574,411,321],"intervals":[{"from_index":218,"to_index":654,"sum":139010,"residue":574},{"from_index":654,"to_index":1090,"sum":141459,"residue":411},{"from_index":1090,"to_index":218,"sum":144634,"residue":321}],"minimal_cycle":[574,411,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[218,654],"circle_positions":653,"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":[219,655,1091],"clock_positions":[219,655,1091],"native_values":[244,652,410],"rotation_degrees":60.27522935779817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[244,652,410],"beta":{"interval_sums":[138766,140973,144711],"interval_residues":[330,578,398],"display_cycle":[330,578,398],"intervals":[{"from_index":219,"to_index":655,"sum":138766,"residue":330},{"from_index":655,"to_index":1091,"sum":140973,"residue":578},{"from_index":1091,"to_index":219,"sum":144711,"residue":398}],"minimal_cycle":[330,578,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[219,655],"circle_positions":653,"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":[220,656,1092],"clock_positions":[220,656,1092],"native_values":[78,652,576],"rotation_degrees":60.55045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,652,576],"beta":{"interval_sums":[139340,140731,144379],"interval_residues":[251,336,66],"display_cycle":[251,336,66],"intervals":[{"from_index":220,"to_index":656,"sum":139340,"residue":251},{"from_index":656,"to_index":1092,"sum":140731,"residue":336},{"from_index":1092,"to_index":220,"sum":144379,"residue":66}],"minimal_cycle":[251,336,66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[220,656],"circle_positions":653,"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":[221,657,1093],"clock_positions":[221,657,1093],"native_values":[322,651,333],"rotation_degrees":60.825688073394495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,651,333],"beta":{"interval_sums":[139670,140656,144124],"interval_residues":[581,261,464],"display_cycle":[581,261,464],"intervals":[{"from_index":221,"to_index":657,"sum":139670,"residue":581},{"from_index":657,"to_index":1093,"sum":140656,"residue":261},{"from_index":1093,"to_index":221,"sum":144124,"residue":464}],"minimal_cycle":[581,261,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[221,657],"circle_positions":653,"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":[222,658,1094],"clock_positions":[222,658,1094],"native_values":[400,650,256],"rotation_degrees":61.10091743119266,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,650,256],"beta":{"interval_sums":[139921,140339,144190],"interval_residues":[179,597,530],"display_cycle":[179,597,530],"intervals":[{"from_index":222,"to_index":658,"sum":139921,"residue":179},{"from_index":658,"to_index":1094,"sum":140339,"residue":597},{"from_index":1094,"to_index":222,"sum":144190,"residue":530}],"minimal_cycle":[179,597,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":179,"start_interval_clock_positions":[222,658],"circle_positions":653,"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":[223,659,1095],"clock_positions":[223,659,1095],"native_values":[69,648,589],"rotation_degrees":61.37614678899082,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,648,589],"beta":{"interval_sums":[140502,139947,144001],"interval_residues":[107,205,341],"display_cycle":[107,205,341],"intervals":[{"from_index":223,"to_index":659,"sum":140502,"residue":107},{"from_index":659,"to_index":1095,"sum":139947,"residue":205},{"from_index":1095,"to_index":223,"sum":144001,"residue":341}],"minimal_cycle":[107,205,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":107,"start_interval_clock_positions":[223,659],"circle_positions":653,"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":[224,660,1096],"clock_positions":[224,660,1096],"native_values":[469,645,192],"rotation_degrees":61.65137614678899,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,645,192],"beta":{"interval_sums":[140681,139891,143878],"interval_residues":[286,149,218],"display_cycle":[286,149,218],"intervals":[{"from_index":224,"to_index":660,"sum":140681,"residue":286},{"from_index":660,"to_index":1096,"sum":139891,"residue":149},{"from_index":1096,"to_index":224,"sum":143878,"residue":218}],"minimal_cycle":[286,149,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[224,660],"circle_positions":653,"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":[225,661,1097],"clock_positions":[225,661,1097],"native_values":[538,640,128],"rotation_degrees":61.92660550458716,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,640,128],"beta":{"interval_sums":[140788,139443,144219],"interval_residues":[393,354,559],"display_cycle":[393,354,559],"intervals":[{"from_index":225,"to_index":661,"sum":140788,"residue":393},{"from_index":661,"to_index":1097,"sum":139443,"residue":354},{"from_index":1097,"to_index":225,"sum":144219,"residue":559}],"minimal_cycle":[393,354,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[225,661],"circle_positions":653,"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":[226,662,1098],"clock_positions":[226,662,1098],"native_values":[354,632,320],"rotation_degrees":62.20183486238532,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,632,320],"beta":{"interval_sums":[141074,138939,144437],"interval_residues":[26,503,124],"display_cycle":[26,503,124],"intervals":[{"from_index":226,"to_index":662,"sum":141074,"residue":26},{"from_index":662,"to_index":1098,"sum":138939,"residue":503},{"from_index":1098,"to_index":226,"sum":144437,"residue":124}],"minimal_cycle":[26,503,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[226,662],"circle_positions":653,"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":[227,663,1099],"clock_positions":[227,663,1099],"native_values":[239,619,448],"rotation_degrees":62.477064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,619,448],"beta":{"interval_sums":[141467,138640,144343],"interval_residues":[419,204,30],"display_cycle":[419,204,30],"intervals":[{"from_index":227,"to_index":663,"sum":141467,"residue":419},{"from_index":663,"to_index":1099,"sum":138640,"residue":204},{"from_index":1099,"to_index":227,"sum":144343,"residue":30}],"minimal_cycle":[419,204,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[227,663],"circle_positions":653,"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":[228,664,1100],"clock_positions":[228,664,1100],"native_values":[593,598,115],"rotation_degrees":62.75229357798165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,598,115],"beta":{"interval_sums":[141493,138490,144467],"interval_residues":[445,54,154],"display_cycle":[445,54,154],"intervals":[{"from_index":228,"to_index":664,"sum":141493,"residue":445},{"from_index":664,"to_index":1100,"sum":138490,"residue":54},{"from_index":1100,"to_index":228,"sum":144467,"residue":154}],"minimal_cycle":[445,54,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":445,"start_interval_clock_positions":[228,664],"circle_positions":653,"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":[229,665,1101],"clock_positions":[229,665,1101],"native_values":[179,564,563],"rotation_degrees":63.027522935779814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,564,563],"beta":{"interval_sums":[141912,138041,144497],"interval_residues":[211,258,184],"display_cycle":[211,258,184],"intervals":[{"from_index":229,"to_index":665,"sum":141912,"residue":211},{"from_index":665,"to_index":1101,"sum":138041,"residue":258},{"from_index":1101,"to_index":229,"sum":144497,"residue":184}],"minimal_cycle":[211,258,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[229,665],"circle_positions":653,"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":[230,666,1102],"clock_positions":[230,666,1102],"native_values":[119,509,25],"rotation_degrees":63.30275229357798,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,509,25],"beta":{"interval_sums":[142357,138095,144651],"interval_residues":[3,312,338],"display_cycle":[3,312,338],"intervals":[{"from_index":230,"to_index":666,"sum":142357,"residue":3},{"from_index":666,"to_index":1102,"sum":138095,"residue":312},{"from_index":1102,"to_index":230,"sum":144651,"residue":338}],"minimal_cycle":[3,312,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[230,666],"circle_positions":653,"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":[231,667,1103],"clock_positions":[231,667,1103],"native_values":[298,420,588],"rotation_degrees":63.57798165137615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,420,588],"beta":{"interval_sums":[142568,137700,144182],"interval_residues":[214,570,522],"display_cycle":[214,570,522],"intervals":[{"from_index":231,"to_index":667,"sum":142568,"residue":214},{"from_index":667,"to_index":1103,"sum":137700,"residue":570},{"from_index":1103,"to_index":231,"sum":144182,"residue":522}],"minimal_cycle":[214,570,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[231,667],"circle_positions":653,"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":[232,668,1104],"clock_positions":[232,668,1104],"native_values":[417,276,613],"rotation_degrees":63.85321100917431,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,276,613],"beta":{"interval_sums":[142571,138012,143867],"interval_residues":[217,229,207],"display_cycle":[217,229,207],"intervals":[{"from_index":232,"to_index":668,"sum":142571,"residue":217},{"from_index":668,"to_index":1104,"sum":138012,"residue":229},{"from_index":1104,"to_index":232,"sum":143867,"residue":207}],"minimal_cycle":[217,229,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":217,"start_interval_clock_positions":[232,668],"circle_positions":653,"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":[233,669,1105],"clock_positions":[233,669,1105],"native_values":[62,43,548],"rotation_degrees":64.12844036697248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,43,548],"beta":{"interval_sums":[142785,138582,143736],"interval_residues":[431,146,76],"display_cycle":[431,146,76],"intervals":[{"from_index":233,"to_index":669,"sum":142785,"residue":431},{"from_index":669,"to_index":1105,"sum":138582,"residue":146},{"from_index":1105,"to_index":233,"sum":143736,"residue":76}],"minimal_cycle":[431,146,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[233,669],"circle_positions":653,"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":[234,670,1106],"clock_positions":[234,670,1106],"native_values":[479,319,508],"rotation_degrees":64.40366972477064,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,319,508],"beta":{"interval_sums":[142349,138811,143290],"interval_residues":[648,375,283],"display_cycle":[648,375,283],"intervals":[{"from_index":234,"to_index":670,"sum":142349,"residue":648},{"from_index":670,"to_index":1106,"sum":138811,"residue":375},{"from_index":1106,"to_index":234,"sum":143290,"residue":283}],"minimal_cycle":[648,375,283],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[234,670],"circle_positions":653,"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":[235,671,1107],"clock_positions":[235,671,1107],"native_values":[541,362,403],"rotation_degrees":64.6788990825688,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[541,362,403],"beta":{"interval_sums":[142127,138957,143366],"interval_residues":[426,521,359],"display_cycle":[426,521,359],"intervals":[{"from_index":235,"to_index":671,"sum":142127,"residue":426},{"from_index":671,"to_index":1107,"sum":138957,"residue":521},{"from_index":1107,"to_index":235,"sum":143366,"residue":359}],"minimal_cycle":[426,521,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[235,671],"circle_positions":653,"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":[236,672,1108],"clock_positions":[236,672,1108],"native_values":[367,28,258],"rotation_degrees":64.95412844036697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,28,258],"beta":{"interval_sums":[142122,139332,143649],"interval_residues":[421,243,642],"display_cycle":[421,243,642],"intervals":[{"from_index":236,"to_index":672,"sum":142122,"residue":421},{"from_index":672,"to_index":1108,"sum":139332,"residue":243},{"from_index":1108,"to_index":236,"sum":143649,"residue":642}],"minimal_cycle":[421,243,642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[236,672],"circle_positions":653,"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":[237,673,1109],"clock_positions":[237,673,1109],"native_values":[255,390,8],"rotation_degrees":65.22935779816514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,390,8],"beta":{"interval_sums":[141895,139200,144008],"interval_residues":[194,111,348],"display_cycle":[194,111,348],"intervals":[{"from_index":237,"to_index":673,"sum":141895,"residue":194},{"from_index":673,"to_index":1109,"sum":139200,"residue":111},{"from_index":1109,"to_index":237,"sum":144008,"residue":348}],"minimal_cycle":[194,111,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[237,673],"circle_positions":653,"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":[238,674,1110],"clock_positions":[238,674,1110],"native_values":[622,418,266],"rotation_degrees":65.5045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,418,266],"beta":{"interval_sums":[141663,138790,143997],"interval_residues":[615,354,337],"display_cycle":[615,354,337],"intervals":[{"from_index":238,"to_index":674,"sum":141663,"residue":615},{"from_index":674,"to_index":1110,"sum":138790,"residue":354},{"from_index":1110,"to_index":238,"sum":143997,"residue":337}],"minimal_cycle":[615,354,337],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[238,674],"circle_positions":653,"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":[239,675,1111],"clock_positions":[239,675,1111],"native_values":[224,155,274],"rotation_degrees":65.77981651376147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[224,155,274],"beta":{"interval_sums":[141857,138901,144345],"interval_residues":[156,465,32],"display_cycle":[156,465,32],"intervals":[{"from_index":239,"to_index":675,"sum":141857,"residue":156},{"from_index":675,"to_index":1111,"sum":138901,"residue":465},{"from_index":1111,"to_index":239,"sum":144345,"residue":32}],"minimal_cycle":[156,465,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[239,675],"circle_positions":653,"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":[240,676,1112],"clock_positions":[240,676,1112],"native_values":[193,573,540],"rotation_degrees":66.05504587155963,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,573,540],"beta":{"interval_sums":[141819,138602,144029],"interval_residues":[118,166,369],"display_cycle":[118,166,369],"intervals":[{"from_index":240,"to_index":676,"sum":141819,"residue":118},{"from_index":676,"to_index":1112,"sum":138602,"residue":166},{"from_index":1112,"to_index":240,"sum":144029,"residue":369}],"minimal_cycle":[118,166,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[240,676],"circle_positions":653,"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":[241,677,1113],"clock_positions":[241,677,1113],"native_values":[417,75,161],"rotation_degrees":66.3302752293578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,75,161],"beta":{"interval_sums":[141975,139067,144061],"interval_residues":[274,631,401],"display_cycle":[274,631,401],"intervals":[{"from_index":241,"to_index":677,"sum":141975,"residue":274},{"from_index":677,"to_index":1113,"sum":139067,"residue":631},{"from_index":1113,"to_index":241,"sum":144061,"residue":401}],"minimal_cycle":[274,631,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[241,677],"circle_positions":653,"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":[242,678,1114],"clock_positions":[242,678,1114],"native_values":[610,648,48],"rotation_degrees":66.60550458715596,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,648,48],"beta":{"interval_sums":[141440,138580,144430],"interval_residues":[392,144,117],"display_cycle":[392,144,117],"intervals":[{"from_index":242,"to_index":678,"sum":141440,"residue":392},{"from_index":678,"to_index":1114,"sum":138580,"residue":144},{"from_index":1114,"to_index":242,"sum":144430,"residue":117}],"minimal_cycle":[392,144,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[242,678],"circle_positions":653,"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":[243,679,1115],"clock_positions":[243,679,1115],"native_values":[374,70,209],"rotation_degrees":66.88073394495413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,70,209],"beta":{"interval_sums":[141714,138558,144831],"interval_residues":[13,122,518],"display_cycle":[13,122,518],"intervals":[{"from_index":243,"to_index":679,"sum":141714,"residue":13},{"from_index":679,"to_index":1115,"sum":138558,"residue":122},{"from_index":1115,"to_index":243,"sum":144831,"residue":518}],"minimal_cycle":[13,122,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[243,679],"circle_positions":653,"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":[244,680,1116],"clock_positions":[244,680,1116],"native_values":[331,65,257],"rotation_degrees":67.1559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,65,257],"beta":{"interval_sums":[141453,138702,144948],"interval_residues":[405,266,635],"display_cycle":[405,266,635],"intervals":[{"from_index":244,"to_index":680,"sum":141453,"residue":405},{"from_index":680,"to_index":1116,"sum":138702,"residue":266},{"from_index":1116,"to_index":244,"sum":144948,"residue":635}],"minimal_cycle":[405,266,635],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[244,680],"circle_positions":653,"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":[245,681,1117],"clock_positions":[245,681,1117],"native_values":[52,135,466],"rotation_degrees":67.43119266055047,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,135,466],"beta":{"interval_sums":[141466,138824,144813],"interval_residues":[418,388,500],"display_cycle":[418,388,500],"intervals":[{"from_index":245,"to_index":681,"sum":141466,"residue":418},{"from_index":681,"to_index":1117,"sum":138824,"residue":388},{"from_index":1117,"to_index":245,"sum":144813,"residue":500}],"minimal_cycle":[418,388,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[245,681],"circle_positions":653,"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":[246,682,1118],"clock_positions":[246,682,1118],"native_values":[383,200,70],"rotation_degrees":67.70642201834862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,200,70],"beta":{"interval_sums":[141218,139090,144795],"interval_residues":[170,1,482],"display_cycle":[170,1,482],"intervals":[{"from_index":246,"to_index":682,"sum":141218,"residue":170},{"from_index":682,"to_index":1118,"sum":139090,"residue":1},{"from_index":1118,"to_index":246,"sum":144795,"residue":482}],"minimal_cycle":[170,1,482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[246,682],"circle_positions":653,"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":[247,683,1119],"clock_positions":[247,683,1119],"native_values":[435,335,536],"rotation_degrees":67.98165137614679,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,335,536],"beta":{"interval_sums":[140983,138825,144642],"interval_residues":[588,389,329],"display_cycle":[588,389,329],"intervals":[{"from_index":247,"to_index":683,"sum":140983,"residue":588},{"from_index":683,"to_index":1119,"sum":138825,"residue":389},{"from_index":1119,"to_index":247,"sum":144642,"residue":329}],"minimal_cycle":[588,389,329],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[247,683],"circle_positions":653,"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":[248,684,1120],"clock_positions":[248,684,1120],"native_values":[165,535,606],"rotation_degrees":68.25688073394495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,535,606],"beta":{"interval_sums":[141153,138826,144471],"interval_residues":[105,390,158],"display_cycle":[105,390,158],"intervals":[{"from_index":248,"to_index":684,"sum":141153,"residue":105},{"from_index":684,"to_index":1120,"sum":138826,"residue":390},{"from_index":1120,"to_index":248,"sum":144471,"residue":158}],"minimal_cycle":[105,390,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[248,684],"circle_positions":653,"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":[249,685,1121],"clock_positions":[249,685,1121],"native_values":[600,217,489],"rotation_degrees":68.53211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,217,489],"beta":{"interval_sums":[141088,139215,144147],"interval_residues":[40,126,487],"display_cycle":[40,126,487],"intervals":[{"from_index":249,"to_index":685,"sum":141088,"residue":40},{"from_index":685,"to_index":1121,"sum":139215,"residue":126},{"from_index":1121,"to_index":249,"sum":144147,"residue":487}],"minimal_cycle":[40,126,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[249,685],"circle_positions":653,"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":[250,686,1122],"clock_positions":[250,686,1122],"native_values":[112,99,442],"rotation_degrees":68.80733944954129,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,99,442],"beta":{"interval_sums":[141193,139605,144305],"interval_residues":[145,516,645],"display_cycle":[145,516,645],"intervals":[{"from_index":250,"to_index":686,"sum":141193,"residue":145},{"from_index":686,"to_index":1122,"sum":139605,"residue":516},{"from_index":1122,"to_index":250,"sum":144305,"residue":645}],"minimal_cycle":[145,516,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[250,686],"circle_positions":653,"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":[251,687,1123],"clock_positions":[251,687,1123],"native_values":[59,316,278],"rotation_degrees":69.08256880733946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[59,316,278],"beta":{"interval_sums":[141233,139731,144139],"interval_residues":[185,642,479],"display_cycle":[185,642,479],"intervals":[{"from_index":251,"to_index":687,"sum":141233,"residue":185},{"from_index":687,"to_index":1123,"sum":139731,"residue":642},{"from_index":1123,"to_index":251,"sum":144139,"residue":479}],"minimal_cycle":[185,642,479],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[251,687],"circle_positions":653,"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":[252,688,1124],"clock_positions":[252,688,1124],"native_values":[171,415,67],"rotation_degrees":69.35779816513761,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,415,67],"beta":{"interval_sums":[141378,139594,144131],"interval_residues":[330,505,471],"display_cycle":[330,505,471],"intervals":[{"from_index":252,"to_index":688,"sum":141378,"residue":330},{"from_index":688,"to_index":1124,"sum":139594,"residue":505},{"from_index":1124,"to_index":252,"sum":144131,"residue":471}],"minimal_cycle":[330,505,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[252,688],"circle_positions":653,"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":[253,689,1125],"clock_positions":[253,689,1125],"native_values":[230,78,345],"rotation_degrees":69.63302752293578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,78,345],"beta":{"interval_sums":[141563,139583,143957],"interval_residues":[515,494,297],"display_cycle":[515,494,297],"intervals":[{"from_index":253,"to_index":689,"sum":141563,"residue":515},{"from_index":689,"to_index":1125,"sum":139583,"residue":494},{"from_index":1125,"to_index":253,"sum":143957,"residue":297}],"minimal_cycle":[515,494,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":515,"start_interval_clock_positions":[253,689],"circle_positions":653,"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":[254,690,1126],"clock_positions":[254,690,1126],"native_values":[401,493,412],"rotation_degrees":69.90825688073394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,493,412],"beta":{"interval_sums":[141240,139435,143775],"interval_residues":[192,346,115],"display_cycle":[192,346,115],"intervals":[{"from_index":254,"to_index":690,"sum":141240,"residue":192},{"from_index":690,"to_index":1126,"sum":139435,"residue":346},{"from_index":1126,"to_index":254,"sum":143775,"residue":115}],"minimal_cycle":[192,346,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[254,690],"circle_positions":653,"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":[255,691,1127],"clock_positions":[255,691,1127],"native_values":[631,571,104],"rotation_degrees":70.18348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,571,104],"beta":{"interval_sums":[141102,139276,144072],"interval_residues":[54,187,412],"display_cycle":[54,187,412],"intervals":[{"from_index":255,"to_index":691,"sum":141102,"residue":54},{"from_index":691,"to_index":1127,"sum":139276,"residue":187},{"from_index":1127,"to_index":255,"sum":144072,"residue":412}],"minimal_cycle":[54,187,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[255,691],"circle_positions":653,"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":[256,692,1128],"clock_positions":[256,692,1128],"native_values":[379,411,516],"rotation_degrees":70.45871559633028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,411,516],"beta":{"interval_sums":[141294,138969,144187],"interval_residues":[246,533,527],"display_cycle":[246,533,527],"intervals":[{"from_index":256,"to_index":692,"sum":141294,"residue":246},{"from_index":692,"to_index":1128,"sum":138969,"residue":533},{"from_index":1128,"to_index":256,"sum":144187,"residue":527}],"minimal_cycle":[246,533,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[256,692],"circle_positions":653,"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":[257,693,1129],"clock_positions":[257,693,1129],"native_values":[357,329,620],"rotation_degrees":70.73394495412845,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,329,620],"beta":{"interval_sums":[141348,139156,143946],"interval_residues":[300,67,286],"display_cycle":[300,67,286],"intervals":[{"from_index":257,"to_index":693,"sum":141348,"residue":300},{"from_index":693,"to_index":1129,"sum":139156,"residue":67},{"from_index":1129,"to_index":257,"sum":143946,"residue":286}],"minimal_cycle":[300,67,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[257,693],"circle_positions":653,"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":[258,694,1130],"clock_positions":[258,694,1130],"native_values":[83,87,483],"rotation_degrees":71.0091743119266,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,87,483],"beta":{"interval_sums":[141594,139689,143820],"interval_residues":[546,600,160],"display_cycle":[546,600,160],"intervals":[{"from_index":258,"to_index":694,"sum":141594,"residue":546},{"from_index":694,"to_index":1130,"sum":139689,"residue":600},{"from_index":1130,"to_index":258,"sum":143820,"residue":160}],"minimal_cycle":[546,600,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[258,694],"circle_positions":653,"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":[259,695,1131],"clock_positions":[259,695,1131],"native_values":[440,416,450],"rotation_degrees":71.28440366972477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,416,450],"beta":{"interval_sums":[141241,139756,143453],"interval_residues":[193,14,446],"display_cycle":[193,14,446],"intervals":[{"from_index":259,"to_index":695,"sum":141241,"residue":193},{"from_index":695,"to_index":1131,"sum":139756,"residue":14},{"from_index":1131,"to_index":259,"sum":143453,"residue":446}],"minimal_cycle":[193,14,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[259,695],"circle_positions":653,"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":[260,696,1132],"clock_positions":[260,696,1132],"native_values":[523,503,280],"rotation_degrees":71.55963302752293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,503,280],"beta":{"interval_sums":[141134,139703,143613],"interval_residues":[86,614,606],"display_cycle":[86,614,606],"intervals":[{"from_index":260,"to_index":696,"sum":141134,"residue":86},{"from_index":696,"to_index":1132,"sum":139703,"residue":614},{"from_index":1132,"to_index":260,"sum":143613,"residue":606}],"minimal_cycle":[86,614,606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[260,696],"circle_positions":653,"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":[261,697,1133],"clock_positions":[261,697,1133],"native_values":[310,266,77],"rotation_degrees":71.8348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,266,77],"beta":{"interval_sums":[141327,139717,144059],"interval_residues":[279,628,399],"display_cycle":[279,628,399],"intervals":[{"from_index":261,"to_index":697,"sum":141327,"residue":279},{"from_index":697,"to_index":1133,"sum":139717,"residue":628},{"from_index":1133,"to_index":261,"sum":144059,"residue":399}],"minimal_cycle":[279,628,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[261,697],"circle_positions":653,"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":[262,698,1134],"clock_positions":[262,698,1134],"native_values":[180,116,357],"rotation_degrees":72.11009174311927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,116,357],"beta":{"interval_sums":[141413,139678,144012],"interval_residues":[365,589,352],"display_cycle":[365,589,352],"intervals":[{"from_index":262,"to_index":698,"sum":141413,"residue":365},{"from_index":698,"to_index":1134,"sum":139678,"residue":589},{"from_index":1134,"to_index":262,"sum":144012,"residue":352}],"minimal_cycle":[365,589,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[262,698],"circle_positions":653,"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":[263,699,1135],"clock_positions":[263,699,1135],"native_values":[490,382,434],"rotation_degrees":72.38532110091744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[490,382,434],"beta":{"interval_sums":[141039,139653,143758],"interval_residues":[644,564,98],"display_cycle":[644,564,98],"intervals":[{"from_index":263,"to_index":699,"sum":141039,"residue":644},{"from_index":699,"to_index":1135,"sum":139653,"residue":564},{"from_index":1135,"to_index":263,"sum":143758,"residue":98}],"minimal_cycle":[644,564,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[263,699],"circle_positions":653,"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":[264,700,1136],"clock_positions":[264,700,1136],"native_values":[17,498,138],"rotation_degrees":72.66055045871559,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,498,138],"beta":{"interval_sums":[141404,139589,144110],"interval_residues":[356,500,450],"display_cycle":[356,500,450],"intervals":[{"from_index":264,"to_index":700,"sum":141404,"residue":356},{"from_index":700,"to_index":1136,"sum":139589,"residue":500},{"from_index":1136,"to_index":264,"sum":144110,"residue":450}],"minimal_cycle":[356,500,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[264,700],"circle_positions":653,"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":[265,701,1137],"clock_positions":[265,701,1137],"native_values":[507,227,572],"rotation_degrees":72.93577981651376,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,227,572],"beta":{"interval_sums":[141395,139500,143555],"interval_residues":[347,411,548],"display_cycle":[347,411,548],"intervals":[{"from_index":265,"to_index":701,"sum":141395,"residue":347},{"from_index":701,"to_index":1137,"sum":139500,"residue":411},{"from_index":1137,"to_index":265,"sum":143555,"residue":548}],"minimal_cycle":[347,411,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[265,701],"circle_positions":653,"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":[266,702,1138],"clock_positions":[266,702,1138],"native_values":[524,72,57],"rotation_degrees":73.21100917431193,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,72,57],"beta":{"interval_sums":[141098,140000,144005],"interval_residues":[50,258,345],"display_cycle":[50,258,345],"intervals":[{"from_index":266,"to_index":702,"sum":141098,"residue":50},{"from_index":702,"to_index":1138,"sum":140000,"residue":258},{"from_index":1138,"to_index":266,"sum":144005,"residue":345}],"minimal_cycle":[50,258,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[266,702],"circle_positions":653,"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":[267,703,1139],"clock_positions":[267,703,1139],"native_values":[378,299,629],"rotation_degrees":73.4862385321101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,299,629],"beta":{"interval_sums":[140792,139758,143900],"interval_residues":[397,16,240],"display_cycle":[397,16,240],"intervals":[{"from_index":267,"to_index":703,"sum":140792,"residue":397},{"from_index":703,"to_index":1139,"sum":139758,"residue":16},{"from_index":1139,"to_index":267,"sum":143900,"residue":240}],"minimal_cycle":[397,16,240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[267,703],"circle_positions":653,"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":[268,704,1140],"clock_positions":[268,704,1140],"native_values":[249,371,33],"rotation_degrees":73.76146788990826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,371,33],"beta":{"interval_sums":[140842,140016,144245],"interval_residues":[447,274,585],"display_cycle":[447,274,585],"intervals":[{"from_index":268,"to_index":704,"sum":140842,"residue":447},{"from_index":704,"to_index":1140,"sum":140016,"residue":274},{"from_index":1140,"to_index":268,"sum":144245,"residue":585}],"minimal_cycle":[447,274,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":447,"start_interval_clock_positions":[268,704],"circle_positions":653,"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":[269,705,1141],"clock_positions":[269,705,1141],"native_values":[627,17,9],"rotation_degrees":74.03669724770643,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[627,17,9],"beta":{"interval_sums":[140586,140032,144485],"interval_residues":[191,290,172],"display_cycle":[191,290,172],"intervals":[{"from_index":269,"to_index":705,"sum":140586,"residue":191},{"from_index":705,"to_index":1141,"sum":140032,"residue":290},{"from_index":1141,"to_index":269,"sum":144485,"residue":172}],"minimal_cycle":[191,290,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[269,705],"circle_positions":653,"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":[270,706,1142],"clock_positions":[270,706,1142],"native_values":[223,388,42],"rotation_degrees":74.31192660550458,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,388,42],"beta":{"interval_sums":[140380,139653,145070],"interval_residues":[638,564,104],"display_cycle":[638,564,104],"intervals":[{"from_index":270,"to_index":706,"sum":140380,"residue":638},{"from_index":706,"to_index":1142,"sum":139653,"residue":564},{"from_index":1142,"to_index":270,"sum":145070,"residue":104}],"minimal_cycle":[638,564,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[270,706],"circle_positions":653,"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":[271,707,1143],"clock_positions":[271,707,1143],"native_values":[197,405,51],"rotation_degrees":74.58715596330275,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,405,51],"beta":{"interval_sums":[140571,139290,145242],"interval_residues":[176,201,276],"display_cycle":[176,201,276],"intervals":[{"from_index":271,"to_index":707,"sum":140571,"residue":176},{"from_index":707,"to_index":1143,"sum":139290,"residue":201},{"from_index":1143,"to_index":271,"sum":145242,"residue":276}],"minimal_cycle":[176,201,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[271,707],"circle_positions":653,"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":[272,708,1144],"clock_positions":[272,708,1144],"native_values":[420,140,93],"rotation_degrees":74.86238532110092,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,140,93],"beta":{"interval_sums":[140556,139201,145346],"interval_residues":[161,112,380],"display_cycle":[161,112,380],"intervals":[{"from_index":272,"to_index":708,"sum":140556,"residue":161},{"from_index":708,"to_index":1144,"sum":139201,"residue":112},{"from_index":1144,"to_index":272,"sum":145346,"residue":380}],"minimal_cycle":[161,112,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":161,"start_interval_clock_positions":[272,708],"circle_positions":653,"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":[273,709,1145],"clock_positions":[273,709,1145],"native_values":[617,545,144],"rotation_degrees":75.13761467889908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,545,144],"beta":{"interval_sums":[140079,138749,145622],"interval_residues":[337,313,3],"display_cycle":[337,313,3],"intervals":[{"from_index":273,"to_index":709,"sum":140079,"residue":337},{"from_index":709,"to_index":1145,"sum":138749,"residue":313},{"from_index":1145,"to_index":273,"sum":145622,"residue":3}],"minimal_cycle":[337,313,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[273,709],"circle_positions":653,"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":[274,710,1146],"clock_positions":[274,710,1146],"native_values":[384,32,237],"rotation_degrees":75.41284403669725,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,32,237],"beta":{"interval_sums":[140240,138861,146002],"interval_residues":[498,425,383],"display_cycle":[498,425,383],"intervals":[{"from_index":274,"to_index":710,"sum":140240,"residue":498},{"from_index":710,"to_index":1146,"sum":138861,"residue":425},{"from_index":1146,"to_index":274,"sum":146002,"residue":383}],"minimal_cycle":[498,425,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[274,710],"circle_positions":653,"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":[275,711,1147],"clock_positions":[275,711,1147],"native_values":[348,577,381],"rotation_degrees":75.68807339449542,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,577,381],"beta":{"interval_sums":[139924,138521,146005],"interval_residues":[182,85,386],"display_cycle":[182,85,386],"intervals":[{"from_index":275,"to_index":711,"sum":139924,"residue":182},{"from_index":711,"to_index":1147,"sum":138521,"residue":85},{"from_index":1147,"to_index":275,"sum":146005,"residue":386}],"minimal_cycle":[182,85,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[275,711],"circle_positions":653,"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":[276,712,1148],"clock_positions":[276,712,1148],"native_values":[79,609,618],"rotation_degrees":75.96330275229357,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,609,618],"beta":{"interval_sums":[140422,138293,145735],"interval_residues":[27,510,116],"display_cycle":[27,510,116],"intervals":[{"from_index":276,"to_index":712,"sum":140422,"residue":27},{"from_index":712,"to_index":1148,"sum":138293,"residue":510},{"from_index":1148,"to_index":276,"sum":145735,"residue":116}],"minimal_cycle":[27,510,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[276,712],"circle_positions":653,"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":[277,713,1149],"clock_positions":[277,713,1149],"native_values":[427,533,346],"rotation_degrees":76.23853211009174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,533,346],"beta":{"interval_sums":[140604,138378,145468],"interval_residues":[209,595,502],"display_cycle":[209,595,502],"intervals":[{"from_index":277,"to_index":713,"sum":140604,"residue":209},{"from_index":713,"to_index":1149,"sum":138378,"residue":595},{"from_index":1149,"to_index":277,"sum":145468,"residue":502}],"minimal_cycle":[209,595,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":209,"start_interval_clock_positions":[277,713],"circle_positions":653,"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":[278,714,1150],"clock_positions":[278,714,1150],"native_values":[506,489,311],"rotation_degrees":76.5137614678899,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,489,311],"beta":{"interval_sums":[140631,138235,145584],"interval_residues":[236,452,618],"display_cycle":[236,452,618],"intervals":[{"from_index":278,"to_index":714,"sum":140631,"residue":236},{"from_index":714,"to_index":1150,"sum":138235,"residue":452},{"from_index":1150,"to_index":278,"sum":145584,"residue":618}],"minimal_cycle":[236,452,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[278,714],"circle_positions":653,"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":[279,715,1151],"clock_positions":[279,715,1151],"native_values":[280,369,4],"rotation_degrees":76.78899082568807,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[280,369,4],"beta":{"interval_sums":[140840,138177,146086],"interval_residues":[445,394,467],"display_cycle":[445,394,467],"intervals":[{"from_index":279,"to_index":715,"sum":140840,"residue":445},{"from_index":715,"to_index":1151,"sum":138177,"residue":394},{"from_index":1151,"to_index":279,"sum":146086,"residue":467}],"minimal_cycle":[445,394,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":445,"start_interval_clock_positions":[279,715],"circle_positions":653,"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":[280,716,1152],"clock_positions":[280,716,1152],"native_values":[133,205,315],"rotation_degrees":77.06422018348624,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,205,315],"beta":{"interval_sums":[141076,137976,146051],"interval_residues":[28,193,432],"display_cycle":[28,193,432],"intervals":[{"from_index":280,"to_index":716,"sum":141076,"residue":28},{"from_index":716,"to_index":1152,"sum":137976,"residue":193},{"from_index":1152,"to_index":280,"sum":146051,"residue":432}],"minimal_cycle":[28,193,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[280,716],"circle_positions":653,"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":[281,717,1153],"clock_positions":[281,717,1153],"native_values":[413,574,319],"rotation_degrees":77.33944954128441,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,574,319],"beta":{"interval_sums":[140868,137717,145865],"interval_residues":[473,587,246],"display_cycle":[473,587,246],"intervals":[{"from_index":281,"to_index":717,"sum":140868,"residue":473},{"from_index":717,"to_index":1153,"sum":137717,"residue":587},{"from_index":1153,"to_index":281,"sum":145865,"residue":246}],"minimal_cycle":[473,587,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[281,717],"circle_positions":653,"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":[282,718,1154],"clock_positions":[282,718,1154],"native_values":[546,126,634],"rotation_degrees":77.61467889908256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,126,634],"beta":{"interval_sums":[140896,137910,145644],"interval_residues":[501,127,25],"display_cycle":[501,127,25],"intervals":[{"from_index":282,"to_index":718,"sum":140896,"residue":501},{"from_index":718,"to_index":1154,"sum":137910,"residue":127},{"from_index":1154,"to_index":282,"sum":145644,"residue":25}],"minimal_cycle":[501,127,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[282,718],"circle_positions":653,"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":[283,719,1155],"clock_positions":[283,719,1155],"native_values":[306,47,300],"rotation_degrees":77.88990825688073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[306,47,300],"beta":{"interval_sums":[140716,138497,145890],"interval_residues":[321,61,271],"display_cycle":[321,61,271],"intervals":[{"from_index":283,"to_index":719,"sum":140716,"residue":321},{"from_index":719,"to_index":1155,"sum":138497,"residue":61},{"from_index":1155,"to_index":283,"sum":145890,"residue":271}],"minimal_cycle":[321,61,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":321,"start_interval_clock_positions":[283,719],"circle_positions":653,"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":[284,720,1156],"clock_positions":[284,720,1156],"native_values":[199,173,281],"rotation_degrees":78.1651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,173,281],"beta":{"interval_sums":[140564,138624,145915],"interval_residues":[169,188,296],"display_cycle":[169,188,296],"intervals":[{"from_index":284,"to_index":720,"sum":140564,"residue":169},{"from_index":720,"to_index":1156,"sum":138624,"residue":188},{"from_index":1156,"to_index":284,"sum":145915,"residue":296}],"minimal_cycle":[169,188,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[284,720],"circle_positions":653,"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":[285,721,1157],"clock_positions":[285,721,1157],"native_values":[505,220,581],"rotation_degrees":78.44036697247707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,220,581],"beta":{"interval_sums":[140232,138685,145533],"interval_residues":[490,249,567],"display_cycle":[490,249,567],"intervals":[{"from_index":285,"to_index":721,"sum":140232,"residue":490},{"from_index":721,"to_index":1157,"sum":138685,"residue":249},{"from_index":1157,"to_index":285,"sum":145533,"residue":567}],"minimal_cycle":[490,249,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[285,721],"circle_positions":653,"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":[286,722,1158],"clock_positions":[286,722,1158],"native_values":[51,393,209],"rotation_degrees":78.71559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,393,209],"beta":{"interval_sums":[140401,138873,145829],"interval_residues":[6,437,210],"display_cycle":[6,437,210],"intervals":[{"from_index":286,"to_index":722,"sum":140401,"residue":6},{"from_index":722,"to_index":1158,"sum":138873,"residue":437},{"from_index":1158,"to_index":286,"sum":145829,"residue":210}],"minimal_cycle":[6,437,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[286,722],"circle_positions":653,"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":[287,723,1159],"clock_positions":[287,723,1159],"native_values":[556,613,137],"rotation_degrees":78.9908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[556,613,137],"beta":{"interval_sums":[140238,138469,145743],"interval_residues":[496,33,124],"display_cycle":[496,33,124],"intervals":[{"from_index":287,"to_index":723,"sum":140238,"residue":496},{"from_index":723,"to_index":1159,"sum":138469,"residue":33},{"from_index":1159,"to_index":287,"sum":145743,"residue":124}],"minimal_cycle":[496,33,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[287,723],"circle_positions":653,"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":[288,724,1160],"clock_positions":[288,724,1160],"native_values":[607,353,346],"rotation_degrees":79.26605504587155,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[607,353,346],"beta":{"interval_sums":[140244,138253,145953],"interval_residues":[502,470,334],"display_cycle":[502,470,334],"intervals":[{"from_index":288,"to_index":724,"sum":140244,"residue":502},{"from_index":724,"to_index":1160,"sum":138253,"residue":470},{"from_index":1160,"to_index":288,"sum":145953,"residue":334}],"minimal_cycle":[502,470,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[288,724],"circle_positions":653,"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":[289,725,1161],"clock_positions":[289,725,1161],"native_values":[510,313,483],"rotation_degrees":79.54128440366972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,313,483],"beta":{"interval_sums":[140087,138286,146077],"interval_residues":[345,503,458],"display_cycle":[345,503,458],"intervals":[{"from_index":289,"to_index":725,"sum":140087,"residue":345},{"from_index":725,"to_index":1161,"sum":138286,"residue":503},{"from_index":1161,"to_index":289,"sum":146077,"residue":458}],"minimal_cycle":[345,503,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":345,"start_interval_clock_positions":[289,725],"circle_positions":653,"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":[290,726,1162],"clock_positions":[290,726,1162],"native_values":[464,13,176],"rotation_degrees":79.81651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,13,176],"beta":{"interval_sums":[139936,138756,146411],"interval_residues":[194,320,139],"display_cycle":[194,320,139],"intervals":[{"from_index":290,"to_index":726,"sum":139936,"residue":194},{"from_index":726,"to_index":1162,"sum":138756,"residue":320},{"from_index":1162,"to_index":290,"sum":146411,"residue":139}],"minimal_cycle":[194,320,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[290,726],"circle_positions":653,"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":[291,727,1163],"clock_positions":[291,727,1163],"native_values":[321,326,6],"rotation_degrees":80.09174311926606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,326,6],"beta":{"interval_sums":[139628,138606,146869],"interval_residues":[539,170,597],"display_cycle":[539,170,597],"intervals":[{"from_index":291,"to_index":727,"sum":139628,"residue":539},{"from_index":727,"to_index":1163,"sum":138606,"residue":170},{"from_index":1163,"to_index":291,"sum":146869,"residue":597}],"minimal_cycle":[539,170,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[291,727],"circle_positions":653,"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":[292,728,1164],"clock_positions":[292,728,1164],"native_values":[132,339,182],"rotation_degrees":80.36697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,339,182],"beta":{"interval_sums":[139822,138273,147008],"interval_residues":[80,490,83],"display_cycle":[80,490,83],"intervals":[{"from_index":292,"to_index":728,"sum":139822,"residue":80},{"from_index":728,"to_index":1164,"sum":138273,"residue":490},{"from_index":1164,"to_index":292,"sum":147008,"residue":83}],"minimal_cycle":[80,490,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[292,728],"circle_positions":653,"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":[293,729,1165],"clock_positions":[293,729,1165],"native_values":[453,12,188],"rotation_degrees":80.64220183486239,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,12,188],"beta":{"interval_sums":[139708,138443,146952],"interval_residues":[619,7,27],"display_cycle":[619,7,27],"intervals":[{"from_index":293,"to_index":729,"sum":139708,"residue":619},{"from_index":729,"to_index":1165,"sum":138443,"residue":7},{"from_index":1165,"to_index":293,"sum":146952,"residue":27}],"minimal_cycle":[619,7,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":619,"start_interval_clock_positions":[293,729],"circle_positions":653,"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":[294,730,1166],"clock_positions":[294,730,1166],"native_values":[585,351,370],"rotation_degrees":80.91743119266054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,351,370],"beta":{"interval_sums":[139135,138280,147035],"interval_residues":[46,497,110],"display_cycle":[46,497,110],"intervals":[{"from_index":294,"to_index":730,"sum":139135,"residue":46},{"from_index":730,"to_index":1166,"sum":138280,"residue":497},{"from_index":1166,"to_index":294,"sum":147035,"residue":110}],"minimal_cycle":[46,497,110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[294,730],"circle_positions":653,"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":[295,731,1167],"clock_positions":[295,731,1167],"native_values":[385,363,558],"rotation_degrees":81.19266055045871,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,363,558],"beta":{"interval_sums":[139101,138287,147062],"interval_residues":[12,504,137],"display_cycle":[12,504,137],"intervals":[{"from_index":295,"to_index":731,"sum":139101,"residue":12},{"from_index":731,"to_index":1167,"sum":138287,"residue":504},{"from_index":1167,"to_index":295,"sum":147062,"residue":137}],"minimal_cycle":[12,504,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[295,731],"circle_positions":653,"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":[296,732,1168],"clock_positions":[296,732,1168],"native_values":[317,61,275],"rotation_degrees":81.46788990825688,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,61,275],"beta":{"interval_sums":[139147,138784,147172],"interval_residues":[58,348,247],"display_cycle":[58,348,247],"intervals":[{"from_index":296,"to_index":732,"sum":139147,"residue":58},{"from_index":732,"to_index":1168,"sum":138784,"residue":348},{"from_index":1168,"to_index":296,"sum":147172,"residue":247}],"minimal_cycle":[58,348,247],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[296,732],"circle_positions":653,"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":[297,733,1169],"clock_positions":[297,733,1169],"native_values":[49,424,180],"rotation_degrees":81.74311926605505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,424,180],"beta":{"interval_sums":[139159,138635,147309],"interval_residues":[70,199,384],"display_cycle":[70,199,384],"intervals":[{"from_index":297,"to_index":733,"sum":139159,"residue":70},{"from_index":733,"to_index":1169,"sum":138635,"residue":199},{"from_index":1169,"to_index":297,"sum":147309,"residue":384}],"minimal_cycle":[70,199,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[297,733],"circle_positions":653,"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":[298,734,1170],"clock_positions":[298,734,1170],"native_values":[366,485,455],"rotation_degrees":82.01834862385321,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,485,455],"beta":{"interval_sums":[139217,138330,146903],"interval_residues":[128,547,631],"display_cycle":[128,547,631],"intervals":[{"from_index":298,"to_index":734,"sum":139217,"residue":128},{"from_index":734,"to_index":1170,"sum":138330,"residue":547},{"from_index":1170,"to_index":298,"sum":146903,"residue":631}],"minimal_cycle":[128,547,631],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[298,734],"circle_positions":653,"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":[299,735,1171],"clock_positions":[299,735,1171],"native_values":[415,256,635],"rotation_degrees":82.29357798165138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,256,635],"beta":{"interval_sums":[139287,138529,146634],"interval_residues":[198,93,362],"display_cycle":[198,93,362],"intervals":[{"from_index":299,"to_index":735,"sum":139287,"residue":198},{"from_index":735,"to_index":1171,"sum":138529,"residue":93},{"from_index":1171,"to_index":299,"sum":146634,"residue":362}],"minimal_cycle":[198,93,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[299,735],"circle_positions":653,"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":[300,736,1172],"clock_positions":[300,736,1172],"native_values":[128,88,437],"rotation_degrees":82.56880733944953,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,88,437],"beta":{"interval_sums":[139415,139076,146612],"interval_residues":[326,640,340],"display_cycle":[326,640,340],"intervals":[{"from_index":300,"to_index":736,"sum":139415,"residue":326},{"from_index":736,"to_index":1172,"sum":139076,"residue":640},{"from_index":1172,"to_index":300,"sum":146612,"residue":340}],"minimal_cycle":[326,640,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[300,736],"circle_positions":653,"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":[301,737,1173],"clock_positions":[301,737,1173],"native_values":[543,344,419],"rotation_degrees":82.8440366972477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[543,344,419],"beta":{"interval_sums":[138960,139169,146321],"interval_residues":[524,80,49],"display_cycle":[524,80,49],"intervals":[{"from_index":301,"to_index":737,"sum":138960,"residue":524},{"from_index":737,"to_index":1173,"sum":139169,"residue":80},{"from_index":1173,"to_index":301,"sum":146321,"residue":49}],"minimal_cycle":[524,80,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[301,737],"circle_positions":653,"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":[302,738,1174],"clock_positions":[302,738,1174],"native_values":[18,432,203],"rotation_degrees":83.11926605504587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,432,203],"beta":{"interval_sums":[139286,139156,146661],"interval_residues":[197,67,389],"display_cycle":[197,67,389],"intervals":[{"from_index":302,"to_index":738,"sum":139286,"residue":197},{"from_index":738,"to_index":1174,"sum":139156,"residue":67},{"from_index":1174,"to_index":302,"sum":146661,"residue":389}],"minimal_cycle":[197,67,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[302,738],"circle_positions":653,"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":[303,739,1175],"clock_positions":[303,739,1175],"native_values":[561,123,622],"rotation_degrees":83.39449541284404,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,123,622],"beta":{"interval_sums":[139157,139236,146057],"interval_residues":[68,147,438],"display_cycle":[68,147,438],"intervals":[{"from_index":303,"to_index":739,"sum":139157,"residue":68},{"from_index":739,"to_index":1175,"sum":139236,"residue":147},{"from_index":1175,"to_index":303,"sum":146057,"residue":438}],"minimal_cycle":[68,147,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[303,739],"circle_positions":653,"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":[304,740,1176],"clock_positions":[304,740,1176],"native_values":[579,555,172],"rotation_degrees":83.6697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,555,172],"beta":{"interval_sums":[138701,139303,146446],"interval_residues":[265,214,174],"display_cycle":[265,214,174],"intervals":[{"from_index":304,"to_index":740,"sum":138701,"residue":265},{"from_index":740,"to_index":1176,"sum":139303,"residue":214},{"from_index":1176,"to_index":304,"sum":146446,"residue":174}],"minimal_cycle":[265,214,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[304,740],"circle_positions":653,"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":[305,741,1177],"clock_positions":[305,741,1177],"native_values":[487,25,141],"rotation_degrees":83.94495412844037,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,25,141],"beta":{"interval_sums":[138769,139450,146884],"interval_residues":[333,361,612],"display_cycle":[333,361,612],"intervals":[{"from_index":305,"to_index":741,"sum":138769,"residue":333},{"from_index":741,"to_index":1177,"sum":139450,"residue":361},{"from_index":1177,"to_index":305,"sum":146884,"residue":612}],"minimal_cycle":[333,361,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[305,741],"circle_positions":653,"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":[306,742,1178],"clock_positions":[306,742,1178],"native_values":[413,580,313],"rotation_degrees":84.22018348623853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,580,313],"beta":{"interval_sums":[138381,139011,147058],"interval_residues":[598,575,133],"display_cycle":[598,575,133],"intervals":[{"from_index":306,"to_index":742,"sum":138381,"residue":598},{"from_index":742,"to_index":1178,"sum":139011,"residue":575},{"from_index":1178,"to_index":306,"sum":147058,"residue":133}],"minimal_cycle":[598,575,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[306,742],"circle_positions":653,"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":[307,743,1179],"clock_positions":[307,743,1179],"native_values":[247,605,454],"rotation_degrees":84.4954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,605,454],"beta":{"interval_sums":[138714,138719,147017],"interval_residues":[278,283,92],"display_cycle":[278,283,92],"intervals":[{"from_index":307,"to_index":743,"sum":138714,"residue":278},{"from_index":743,"to_index":1179,"sum":138719,"residue":283},{"from_index":1179,"to_index":307,"sum":147017,"residue":92}],"minimal_cycle":[278,283,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[307,743],"circle_positions":653,"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":[308,744,1180],"clock_positions":[308,744,1180],"native_values":[7,532,114],"rotation_degrees":84.77064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,532,114],"beta":{"interval_sums":[139312,138641,147150],"interval_residues":[223,205,225],"display_cycle":[223,205,225],"intervals":[{"from_index":308,"to_index":744,"sum":139312,"residue":223},{"from_index":744,"to_index":1180,"sum":138641,"residue":205},{"from_index":1180,"to_index":308,"sum":147150,"residue":225}],"minimal_cycle":[223,205,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[308,744],"circle_positions":653,"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":[309,745,1181],"clock_positions":[309,745,1181],"native_values":[254,484,568],"rotation_degrees":85.04587155963303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[254,484,568],"beta":{"interval_sums":[139590,138271,146589],"interval_residues":[501,488,317],"display_cycle":[501,488,317],"intervals":[{"from_index":309,"to_index":745,"sum":139590,"residue":501},{"from_index":745,"to_index":1181,"sum":138271,"residue":488},{"from_index":1181,"to_index":309,"sum":146589,"residue":317}],"minimal_cycle":[501,488,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[309,745],"circle_positions":653,"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":[310,746,1182],"clock_positions":[310,746,1182],"native_values":[261,363,29],"rotation_degrees":85.3211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,363,29],"beta":{"interval_sums":[139813,138476,146814],"interval_residues":[71,40,542],"display_cycle":[71,40,542],"intervals":[{"from_index":310,"to_index":746,"sum":139813,"residue":71},{"from_index":746,"to_index":1182,"sum":138476,"residue":40},{"from_index":1182,"to_index":310,"sum":146814,"residue":542}],"minimal_cycle":[71,40,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[310,746],"circle_positions":653,"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":[311,747,1183],"clock_positions":[311,747,1183],"native_values":[515,194,597],"rotation_degrees":85.59633027522936,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,194,597],"beta":{"interval_sums":[139661,138311,146478],"interval_residues":[572,528,206],"display_cycle":[572,528,206],"intervals":[{"from_index":311,"to_index":747,"sum":139661,"residue":572},{"from_index":747,"to_index":1183,"sum":138311,"residue":528},{"from_index":1183,"to_index":311,"sum":146478,"residue":206}],"minimal_cycle":[572,528,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[311,747],"circle_positions":653,"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":[312,748,1184],"clock_positions":[312,748,1184],"native_values":[123,557,626],"rotation_degrees":85.87155963302752,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,557,626],"beta":{"interval_sums":[139732,138351,146367],"interval_residues":[643,568,95],"display_cycle":[643,568,95],"intervals":[{"from_index":312,"to_index":748,"sum":139732,"residue":643},{"from_index":748,"to_index":1184,"sum":138351,"residue":568},{"from_index":1184,"to_index":312,"sum":146367,"residue":95}],"minimal_cycle":[643,568,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":643,"start_interval_clock_positions":[312,748],"circle_positions":653,"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":[313,749,1185],"clock_positions":[313,749,1185],"native_values":[638,98,570],"rotation_degrees":86.14678899082568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,98,570],"beta":{"interval_sums":[139651,138879,145920],"interval_residues":[562,443,301],"display_cycle":[562,443,301],"intervals":[{"from_index":313,"to_index":749,"sum":139651,"residue":562},{"from_index":749,"to_index":1185,"sum":138879,"residue":443},{"from_index":1185,"to_index":313,"sum":145920,"residue":301}],"minimal_cycle":[562,443,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[313,749],"circle_positions":653,"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":[314,750,1186],"clock_positions":[314,750,1186],"native_values":[108,2,543],"rotation_degrees":86.42201834862385,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,2,543],"beta":{"interval_sums":[139641,139447,146015],"interval_residues":[552,358,396],"display_cycle":[552,358,396],"intervals":[{"from_index":314,"to_index":750,"sum":139641,"residue":552},{"from_index":750,"to_index":1186,"sum":139447,"residue":358},{"from_index":1186,"to_index":314,"sum":146015,"residue":396}],"minimal_cycle":[552,358,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[314,750],"circle_positions":653,"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":[315,751,1187],"clock_positions":[315,751,1187],"native_values":[93,100,460],"rotation_degrees":86.69724770642202,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,100,460],"beta":{"interval_sums":[139550,139890,145663],"interval_residues":[461,148,44],"display_cycle":[461,148,44],"intervals":[{"from_index":315,"to_index":751,"sum":139550,"residue":461},{"from_index":751,"to_index":1187,"sum":139890,"residue":148},{"from_index":1187,"to_index":315,"sum":145663,"residue":44}],"minimal_cycle":[461,148,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":461,"start_interval_clock_positions":[315,751],"circle_positions":653,"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":[316,752,1188],"clock_positions":[316,752,1188],"native_values":[201,102,350],"rotation_degrees":86.97247706422019,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,102,350],"beta":{"interval_sums":[139449,140248,145406],"interval_residues":[360,506,440],"display_cycle":[360,506,440],"intervals":[{"from_index":316,"to_index":752,"sum":139449,"residue":360},{"from_index":752,"to_index":1188,"sum":140248,"residue":506},{"from_index":1188,"to_index":316,"sum":145406,"residue":440}],"minimal_cycle":[360,506,440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[316,752],"circle_positions":653,"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":[317,753,1189],"clock_positions":[317,753,1189],"native_values":[294,202,157],"rotation_degrees":87.24770642201835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,202,157],"beta":{"interval_sums":[139257,140396,145450],"interval_residues":[168,1,484],"display_cycle":[168,1,484],"intervals":[{"from_index":317,"to_index":753,"sum":139257,"residue":168},{"from_index":753,"to_index":1189,"sum":140396,"residue":1},{"from_index":1189,"to_index":317,"sum":145450,"residue":484}],"minimal_cycle":[168,1,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[317,753],"circle_positions":653,"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":[318,754,1190],"clock_positions":[318,754,1190],"native_values":[495,304,507],"rotation_degrees":87.5229357798165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,304,507],"beta":{"interval_sums":[138964,140249,145237],"interval_residues":[528,507,271],"display_cycle":[528,507,271],"intervals":[{"from_index":318,"to_index":754,"sum":138964,"residue":528},{"from_index":754,"to_index":1190,"sum":140249,"residue":507},{"from_index":1190,"to_index":318,"sum":145237,"residue":271}],"minimal_cycle":[528,507,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[318,754],"circle_positions":653,"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":[319,755,1191],"clock_positions":[319,755,1191],"native_values":[136,506,11],"rotation_degrees":87.79816513761467,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[136,506,11],"beta":{"interval_sums":[139132,140250,145721],"interval_residues":[43,508,102],"display_cycle":[43,508,102],"intervals":[{"from_index":319,"to_index":755,"sum":139132,"residue":43},{"from_index":755,"to_index":1191,"sum":140250,"residue":508},{"from_index":1191,"to_index":319,"sum":145721,"residue":102}],"minimal_cycle":[43,508,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[319,755],"circle_positions":653,"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":[320,756,1192],"clock_positions":[320,756,1192],"native_values":[631,157,518],"rotation_degrees":88.07339449541284,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,157,518],"beta":{"interval_sums":[139007,140104,145339],"interval_residues":[571,362,373],"display_cycle":[571,362,373],"intervals":[{"from_index":320,"to_index":756,"sum":139007,"residue":571},{"from_index":756,"to_index":1192,"sum":140104,"residue":362},{"from_index":1192,"to_index":320,"sum":145339,"residue":373}],"minimal_cycle":[571,362,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[320,756],"circle_positions":653,"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":[321,757,1193],"clock_positions":[321,757,1193],"native_values":[114,10,529],"rotation_degrees":88.34862385321101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,10,529],"beta":{"interval_sums":[139050,140612,145441],"interval_residues":[614,217,475],"display_cycle":[614,217,475],"intervals":[{"from_index":321,"to_index":757,"sum":139050,"residue":614},{"from_index":757,"to_index":1193,"sum":140612,"residue":217},{"from_index":1193,"to_index":321,"sum":145441,"residue":475}],"minimal_cycle":[614,217,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[321,757],"circle_positions":653,"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":[322,758,1194],"clock_positions":[322,758,1194],"native_values":[92,167,394],"rotation_degrees":88.62385321100918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,167,394],"beta":{"interval_sums":[138968,140974,145161],"interval_residues":[532,579,195],"display_cycle":[532,579,195],"intervals":[{"from_index":322,"to_index":758,"sum":138968,"residue":532},{"from_index":758,"to_index":1194,"sum":140974,"residue":579},{"from_index":1194,"to_index":322,"sum":145161,"residue":195}],"minimal_cycle":[532,579,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[322,758],"circle_positions":653,"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":[323,759,1195],"clock_positions":[323,759,1195],"native_values":[206,177,270],"rotation_degrees":88.89908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[206,177,270],"beta":{"interval_sums":[138929,141191,144983],"interval_residues":[493,143,17],"display_cycle":[493,143,17],"intervals":[{"from_index":323,"to_index":759,"sum":138929,"residue":493},{"from_index":759,"to_index":1195,"sum":141191,"residue":143},{"from_index":1195,"to_index":323,"sum":144983,"residue":17}],"minimal_cycle":[493,143,17],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":493,"start_interval_clock_positions":[323,759],"circle_positions":653,"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":[324,760,1196],"clock_positions":[324,760,1196],"native_values":[298,344,11],"rotation_degrees":89.1743119266055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,344,11],"beta":{"interval_sums":[138808,141117,145178],"interval_residues":[372,69,212],"display_cycle":[372,69,212],"intervals":[{"from_index":324,"to_index":760,"sum":138808,"residue":372},{"from_index":760,"to_index":1196,"sum":141117,"residue":69},{"from_index":1196,"to_index":324,"sum":145178,"residue":212}],"minimal_cycle":[372,69,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[324,760],"circle_positions":653,"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":[325,761,1197],"clock_positions":[325,761,1197],"native_values":[504,521,281],"rotation_degrees":89.44954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[504,521,281],"beta":{"interval_sums":[138648,140607,145195],"interval_residues":[212,212,229],"display_cycle":[212,212,229],"intervals":[{"from_index":325,"to_index":761,"sum":138648,"residue":212},{"from_index":761,"to_index":1197,"sum":140607,"residue":212},{"from_index":1197,"to_index":325,"sum":145195,"residue":229}],"minimal_cycle":[212,212,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[325,761],"circle_positions":653,"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":[326,762,1198],"clock_positions":[326,762,1198],"native_values":[149,212,292],"rotation_degrees":89.72477064220183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,212,292],"beta":{"interval_sums":[139020,140676,145407],"interval_residues":[584,281,441],"display_cycle":[584,281,441],"intervals":[{"from_index":326,"to_index":762,"sum":139020,"residue":584},{"from_index":762,"to_index":1198,"sum":140676,"residue":281},{"from_index":1198,"to_index":326,"sum":145407,"residue":441}],"minimal_cycle":[584,281,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[326,762],"circle_positions":653,"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":[327,763,1199],"clock_positions":[327,763,1199],"native_values":[653,80,573],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,80,573],"beta":{"interval_sums":[139232,140888,144983],"interval_residues":[143,493,17],"display_cycle":[143,493,17],"intervals":[{"from_index":327,"to_index":763,"sum":139232,"residue":143},{"from_index":763,"to_index":1199,"sum":140888,"residue":493},{"from_index":1199,"to_index":327,"sum":144983,"residue":17}],"minimal_cycle":[143,493,17],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[327,763],"circle_positions":653,"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":[328,764,1200],"clock_positions":[328,764,1200],"native_values":[149,292,212],"rotation_degrees":90.27522935779817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,292,212],"beta":{"interval_sums":[139163,141169,144771],"interval_residues":[74,121,458],"display_cycle":[74,121,458],"intervals":[{"from_index":328,"to_index":764,"sum":139163,"residue":74},{"from_index":764,"to_index":1200,"sum":141169,"residue":121},{"from_index":1200,"to_index":328,"sum":144771,"residue":458}],"minimal_cycle":[74,121,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[328,764],"circle_positions":653,"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":[329,765,1201],"clock_positions":[329,765,1201],"native_values":[149,372,132],"rotation_degrees":90.55045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,372,132],"beta":{"interval_sums":[139306,141009,144788],"interval_residues":[217,614,475],"display_cycle":[217,614,475],"intervals":[{"from_index":329,"to_index":765,"sum":139306,"residue":217},{"from_index":765,"to_index":1201,"sum":141009,"residue":614},{"from_index":1201,"to_index":329,"sum":144788,"residue":475}],"minimal_cycle":[217,614,475],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":217,"start_interval_clock_positions":[329,765],"circle_positions":653,"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":[330,766,1202],"clock_positions":[330,766,1202],"native_values":[298,11,344],"rotation_degrees":90.8256880733945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,11,344],"beta":{"interval_sums":[139380,141130,144593],"interval_residues":[291,82,280],"display_cycle":[291,82,280],"intervals":[{"from_index":330,"to_index":766,"sum":139380,"residue":291},{"from_index":766,"to_index":1202,"sum":141130,"residue":82},{"from_index":1202,"to_index":330,"sum":144593,"residue":280}],"minimal_cycle":[291,82,280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[330,766],"circle_positions":653,"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":[331,767,1203],"clock_positions":[331,767,1203],"native_values":[447,383,476],"rotation_degrees":91.10091743119266,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,383,476],"beta":{"interval_sums":[138944,141091,144415],"interval_residues":[508,43,102],"display_cycle":[508,43,102],"intervals":[{"from_index":331,"to_index":767,"sum":138944,"residue":508},{"from_index":767,"to_index":1203,"sum":141091,"residue":43},{"from_index":1203,"to_index":331,"sum":144415,"residue":102}],"minimal_cycle":[508,43,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[331,767],"circle_positions":653,"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":[332,768,1204],"clock_positions":[332,768,1204],"native_values":[92,394,167],"rotation_degrees":91.37614678899082,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,394,167],"beta":{"interval_sums":[139235,141173,144695],"interval_residues":[146,125,382],"display_cycle":[146,125,382],"intervals":[{"from_index":332,"to_index":768,"sum":139235,"residue":146},{"from_index":768,"to_index":1204,"sum":141173,"residue":125},{"from_index":1204,"to_index":332,"sum":144695,"residue":382}],"minimal_cycle":[146,125,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[332,768],"circle_positions":653,"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":[333,769,1205],"clock_positions":[333,769,1205],"native_values":[539,124,643],"rotation_degrees":91.65137614678899,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,124,643],"beta":{"interval_sums":[139090,141216,144144],"interval_residues":[1,168,484],"display_cycle":[1,168,484],"intervals":[{"from_index":333,"to_index":769,"sum":139090,"residue":1},{"from_index":769,"to_index":1205,"sum":141216,"residue":168},{"from_index":1205,"to_index":333,"sum":144144,"residue":484}],"minimal_cycle":[1,168,484],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[333,769],"circle_positions":653,"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":[334,770,1206],"clock_positions":[334,770,1206],"native_values":[631,518,157],"rotation_degrees":91.92660550458716,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,518,157],"beta":{"interval_sums":[138583,141341,144526],"interval_residues":[147,293,213],"display_cycle":[147,293,213],"intervals":[{"from_index":334,"to_index":770,"sum":138583,"residue":147},{"from_index":770,"to_index":1206,"sum":141341,"residue":293},{"from_index":1206,"to_index":334,"sum":144526,"residue":213}],"minimal_cycle":[147,293,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[334,770],"circle_positions":653,"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":[335,771,1207],"clock_positions":[335,771,1207],"native_values":[517,642,147],"rotation_degrees":92.20183486238533,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[517,642,147],"beta":{"interval_sums":[138584,140856,145010],"interval_residues":[148,461,44],"display_cycle":[148,461,44],"intervals":[{"from_index":335,"to_index":771,"sum":138584,"residue":148},{"from_index":771,"to_index":1207,"sum":140856,"residue":461},{"from_index":1207,"to_index":335,"sum":145010,"residue":44}],"minimal_cycle":[148,461,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[335,771],"circle_positions":653,"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":[336,772,1208],"clock_positions":[336,772,1208],"native_values":[495,507,304],"rotation_degrees":92.4770642201835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[495,507,304],"beta":{"interval_sums":[138731,140496,145223],"interval_residues":[295,101,257],"display_cycle":[295,101,257],"intervals":[{"from_index":336,"to_index":772,"sum":138731,"residue":295},{"from_index":772,"to_index":1208,"sum":140496,"residue":101},{"from_index":1208,"to_index":336,"sum":145223,"residue":257}],"minimal_cycle":[295,101,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[336,772],"circle_positions":653,"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":[337,773,1209],"clock_positions":[337,773,1209],"native_values":[359,496,451],"rotation_degrees":92.75229357798165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,496,451],"beta":{"interval_sums":[138879,140304,145267],"interval_residues":[443,562,301],"display_cycle":[443,562,301],"intervals":[{"from_index":337,"to_index":773,"sum":138879,"residue":443},{"from_index":773,"to_index":1209,"sum":140304,"residue":562},{"from_index":1209,"to_index":337,"sum":145267,"residue":301}],"minimal_cycle":[443,562,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":443,"start_interval_clock_positions":[337,773],"circle_positions":653,"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":[338,774,1210],"clock_positions":[338,774,1210],"native_values":[201,350,102],"rotation_degrees":93.02752293577981,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,350,102],"beta":{"interval_sums":[139174,140405,145524],"interval_residues":[85,10,558],"display_cycle":[85,10,558],"intervals":[{"from_index":338,"to_index":774,"sum":139174,"residue":85},{"from_index":774,"to_index":1210,"sum":140405,"residue":10},{"from_index":1210,"to_index":338,"sum":145524,"residue":558}],"minimal_cycle":[85,10,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[338,774],"circle_positions":653,"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":[339,775,1211],"clock_positions":[339,775,1211],"native_values":[560,193,553],"rotation_degrees":93.30275229357798,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,193,553],"beta":{"interval_sums":[138964,140314,145172],"interval_residues":[528,572,206],"display_cycle":[528,572,206],"intervals":[{"from_index":339,"to_index":775,"sum":138964,"residue":528},{"from_index":775,"to_index":1211,"sum":140314,"residue":572},{"from_index":1211,"to_index":339,"sum":145172,"residue":206}],"minimal_cycle":[528,572,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[339,775],"circle_positions":653,"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":[340,776,1212],"clock_positions":[340,776,1212],"native_values":[108,543,2],"rotation_degrees":93.57798165137615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,543,2],"beta":{"interval_sums":[139049,140324,145730],"interval_residues":[613,582,111],"display_cycle":[613,582,111],"intervals":[{"from_index":340,"to_index":776,"sum":139049,"residue":613},{"from_index":776,"to_index":1212,"sum":140324,"residue":582},{"from_index":1212,"to_index":340,"sum":145730,"residue":111}],"minimal_cycle":[613,582,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":613,"start_interval_clock_positions":[340,776],"circle_positions":653,"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":[341,777,1213],"clock_positions":[341,777,1213],"native_values":[15,83,555],"rotation_degrees":93.85321100917432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,83,555],"beta":{"interval_sums":[139577,140243,145283],"interval_residues":[488,501,317],"display_cycle":[488,501,317],"intervals":[{"from_index":341,"to_index":777,"sum":139577,"residue":488},{"from_index":777,"to_index":1213,"sum":140243,"residue":501},{"from_index":1213,"to_index":341,"sum":145283,"residue":317}],"minimal_cycle":[488,501,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[341,777],"circle_positions":653,"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":[342,778,1214],"clock_positions":[342,778,1214],"native_values":[123,626,557],"rotation_degrees":94.12844036697248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,626,557],"beta":{"interval_sums":[139537,140172,144741],"interval_residues":[448,430,428],"display_cycle":[448,430,428],"intervals":[{"from_index":342,"to_index":778,"sum":139537,"residue":448},{"from_index":778,"to_index":1214,"sum":140172,"residue":430},{"from_index":1214,"to_index":342,"sum":144741,"residue":428}],"minimal_cycle":[448,430,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[342,778],"circle_positions":653,"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":[343,779,1215],"clock_positions":[343,779,1215],"native_values":[138,56,459],"rotation_degrees":94.40366972477064,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,56,459],"beta":{"interval_sums":[140025,140673,144405],"interval_residues":[283,278,92],"display_cycle":[283,278,92],"intervals":[{"from_index":343,"to_index":779,"sum":140025,"residue":283},{"from_index":779,"to_index":1215,"sum":140673,"residue":278},{"from_index":1215,"to_index":343,"sum":144405,"residue":92}],"minimal_cycle":[283,278,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[343,779],"circle_positions":653,"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":[344,780,1216],"clock_positions":[344,780,1216],"native_values":[261,29,363],"rotation_degrees":94.6788990825688,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,29,363],"beta":{"interval_sums":[139820,141103,144180],"interval_residues":[78,55,520],"display_cycle":[78,55,520],"intervals":[{"from_index":344,"to_index":780,"sum":139820,"residue":78},{"from_index":780,"to_index":1216,"sum":141103,"residue":55},{"from_index":1216,"to_index":344,"sum":144180,"residue":520}],"minimal_cycle":[78,55,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[344,780],"circle_positions":653,"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":[345,781,1217],"clock_positions":[345,781,1217],"native_values":[399,85,169],"rotation_degrees":94.95412844036697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,85,169],"beta":{"interval_sums":[139450,141381,144272],"interval_residues":[361,333,612],"display_cycle":[361,333,612],"intervals":[{"from_index":345,"to_index":781,"sum":139450,"residue":361},{"from_index":781,"to_index":1217,"sum":141381,"residue":333},{"from_index":1217,"to_index":345,"sum":144272,"residue":612}],"minimal_cycle":[361,333,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":361,"start_interval_clock_positions":[345,781],"circle_positions":653,"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":[346,782,1218],"clock_positions":[346,782,1218],"native_values":[7,114,532],"rotation_degrees":95.22935779816514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,114,532],"beta":{"interval_sums":[139528,141436,144139],"interval_residues":[439,388,479],"display_cycle":[439,388,479],"intervals":[{"from_index":346,"to_index":782,"sum":139528,"residue":439},{"from_index":782,"to_index":1218,"sum":141436,"residue":388},{"from_index":1218,"to_index":346,"sum":144139,"residue":479}],"minimal_cycle":[439,388,479],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[346,782],"circle_positions":653,"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":[347,783,1219],"clock_positions":[347,783,1219],"native_values":[406,199,48],"rotation_degrees":95.5045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[406,199,48],"beta":{"interval_sums":[139236,141769,144098],"interval_residues":[147,68,438],"display_cycle":[147,68,438],"intervals":[{"from_index":347,"to_index":783,"sum":139236,"residue":147},{"from_index":783,"to_index":1219,"sum":141769,"residue":68},{"from_index":1219,"to_index":347,"sum":144098,"residue":438}],"minimal_cycle":[147,68,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[347,783],"circle_positions":653,"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":[348,784,1220],"clock_positions":[348,784,1220],"native_values":[413,313,580],"rotation_degrees":95.77981651376147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,313,580],"beta":{"interval_sums":[139022,141504,143924],"interval_residues":[586,456,264],"display_cycle":[586,456,264],"intervals":[{"from_index":348,"to_index":784,"sum":139022,"residue":586},{"from_index":784,"to_index":1220,"sum":141504,"residue":456},{"from_index":1220,"to_index":348,"sum":143924,"residue":264}],"minimal_cycle":[586,456,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[348,784],"circle_positions":653,"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":[349,785,1221],"clock_positions":[349,785,1221],"native_values":[166,512,628],"rotation_degrees":96.05504587155963,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[166,512,628],"beta":{"interval_sums":[139169,141572,143709],"interval_residues":[80,524,49],"display_cycle":[80,524,49],"intervals":[{"from_index":349,"to_index":785,"sum":139169,"residue":80},{"from_index":785,"to_index":1221,"sum":141572,"residue":524},{"from_index":1221,"to_index":349,"sum":143709,"residue":49}],"minimal_cycle":[80,524,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[349,785],"circle_positions":653,"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":[350,786,1222],"clock_positions":[350,786,1222],"native_values":[579,172,555],"rotation_degrees":96.3302752293578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,172,555],"beta":{"interval_sums":[139102,142028,143320],"interval_residues":[13,327,313],"display_cycle":[13,327,313],"intervals":[{"from_index":350,"to_index":786,"sum":139102,"residue":13},{"from_index":786,"to_index":1222,"sum":142028,"residue":327},{"from_index":1222,"to_index":350,"sum":143320,"residue":313}],"minimal_cycle":[13,327,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[350,786],"circle_positions":653,"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":[351,787,1223],"clock_positions":[351,787,1223],"native_values":[92,31,530],"rotation_degrees":96.60550458715596,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,31,530],"beta":{"interval_sums":[139182,142552,143369],"interval_residues":[93,198,362],"display_cycle":[93,198,362],"intervals":[{"from_index":351,"to_index":787,"sum":139182,"residue":93},{"from_index":787,"to_index":1223,"sum":142552,"residue":198},{"from_index":1223,"to_index":351,"sum":143369,"residue":362}],"minimal_cycle":[93,198,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[351,787],"circle_positions":653,"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":[352,788,1224],"clock_positions":[352,788,1224],"native_values":[18,203,432],"rotation_degrees":96.88073394495413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,203,432],"beta":{"interval_sums":[139195,142879,143029],"interval_residues":[106,525,22],"display_cycle":[106,525,22],"intervals":[{"from_index":352,"to_index":788,"sum":139195,"residue":106},{"from_index":788,"to_index":1224,"sum":142879,"residue":525},{"from_index":1224,"to_index":352,"sum":143029,"residue":22}],"minimal_cycle":[106,525,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[352,788],"circle_positions":653,"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":[353,789,1225],"clock_positions":[353,789,1225],"native_values":[110,234,309],"rotation_degrees":97.1559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,234,309],"beta":{"interval_sums":[139288,143077,142738],"interval_residues":[199,70,384],"display_cycle":[199,70,384],"intervals":[{"from_index":353,"to_index":789,"sum":139288,"residue":199},{"from_index":789,"to_index":1225,"sum":143077,"residue":70},{"from_index":1225,"to_index":353,"sum":142738,"residue":384}],"minimal_cycle":[199,70,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[353,789],"circle_positions":653,"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":[354,790,1226],"clock_positions":[354,790,1226],"native_values":[128,437,88],"rotation_degrees":97.43119266055047,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,437,88],"beta":{"interval_sums":[139394,142949,142760],"interval_residues":[305,595,406],"display_cycle":[305,595,406],"intervals":[{"from_index":354,"to_index":790,"sum":139394,"residue":305},{"from_index":790,"to_index":1226,"sum":142949,"residue":595},{"from_index":1226,"to_index":354,"sum":142760,"residue":406}],"minimal_cycle":[305,595,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[354,790],"circle_positions":653,"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":[355,791,1227],"clock_positions":[355,791,1227],"native_values":[238,18,397],"rotation_degrees":97.70642201834862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,18,397],"beta":{"interval_sums":[139593,143019,142491],"interval_residues":[504,12,137],"display_cycle":[504,12,137],"intervals":[{"from_index":355,"to_index":791,"sum":139593,"residue":504},{"from_index":791,"to_index":1227,"sum":143019,"residue":12},{"from_index":1227,"to_index":355,"sum":142491,"residue":137}],"minimal_cycle":[504,12,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[355,791],"circle_positions":653,"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":[356,792,1228],"clock_positions":[356,792,1228],"native_values":[366,455,485],"rotation_degrees":97.98165137614679,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,455,485],"beta":{"interval_sums":[139245,142961,142244],"interval_residues":[156,607,543],"display_cycle":[156,607,543],"intervals":[{"from_index":356,"to_index":792,"sum":139245,"residue":156},{"from_index":792,"to_index":1228,"sum":142961,"residue":607},{"from_index":1228,"to_index":356,"sum":142244,"residue":543}],"minimal_cycle":[156,607,543],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[356,792],"circle_positions":653,"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":[357,793,1229],"clock_positions":[357,793,1229],"native_values":[604,473,229],"rotation_degrees":98.25688073394495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,473,229],"beta":{"interval_sums":[139096,142973,142381],"interval_residues":[7,619,27],"display_cycle":[7,619,27],"intervals":[{"from_index":357,"to_index":793,"sum":139096,"residue":7},{"from_index":793,"to_index":1229,"sum":142973,"residue":619},{"from_index":1229,"to_index":357,"sum":142381,"residue":27}],"minimal_cycle":[7,619,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":7,"start_interval_clock_positions":[357,793],"circle_positions":653,"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":[358,794,1230],"clock_positions":[358,794,1230],"native_values":[317,275,61],"rotation_degrees":98.53211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,275,61],"beta":{"interval_sums":[139252,142927,142924],"interval_residues":[163,573,570],"display_cycle":[163,573,570],"intervals":[{"from_index":358,"to_index":794,"sum":139252,"residue":163},{"from_index":794,"to_index":1230,"sum":142927,"residue":573},{"from_index":1230,"to_index":358,"sum":142924,"residue":570}],"minimal_cycle":[163,573,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[358,794],"circle_positions":653,"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":[359,795,1231],"clock_positions":[359,795,1231],"native_values":[268,95,290],"rotation_degrees":98.80733944954129,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,95,290],"beta":{"interval_sums":[139259,142893,142951],"interval_residues":[170,539,597],"display_cycle":[170,539,597],"intervals":[{"from_index":359,"to_index":795,"sum":139259,"residue":170},{"from_index":795,"to_index":1231,"sum":142893,"residue":539},{"from_index":1231,"to_index":359,"sum":142951,"residue":597}],"minimal_cycle":[170,539,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[359,795],"circle_positions":653,"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":[360,796,1232],"clock_positions":[360,796,1232],"native_values":[585,370,351],"rotation_degrees":99.08256880733946,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,370,351],"beta":{"interval_sums":[138769,142813,142868],"interval_residues":[333,459,514],"display_cycle":[333,459,514],"intervals":[{"from_index":360,"to_index":796,"sum":138769,"residue":333},{"from_index":796,"to_index":1232,"sum":142813,"residue":459},{"from_index":1232,"to_index":360,"sum":142868,"residue":514}],"minimal_cycle":[333,459,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[360,796],"circle_positions":653,"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":[361,797,1233],"clock_positions":[361,797,1233],"native_values":[200,465,641],"rotation_degrees":99.35779816513761,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,465,641],"beta":{"interval_sums":[138939,142699,142812],"interval_residues":[503,345,458],"display_cycle":[503,345,458],"intervals":[{"from_index":361,"to_index":797,"sum":138939,"residue":503},{"from_index":797,"to_index":1233,"sum":142699,"residue":345},{"from_index":1233,"to_index":361,"sum":142812,"residue":458}],"minimal_cycle":[503,345,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":503,"start_interval_clock_positions":[361,797],"circle_positions":653,"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":[362,798,1234],"clock_positions":[362,798,1234],"native_values":[132,182,339],"rotation_degrees":99.63302752293578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,182,339],"beta":{"interval_sums":[139272,143158,142673],"interval_residues":[183,151,319],"display_cycle":[183,151,319],"intervals":[{"from_index":362,"to_index":798,"sum":139272,"residue":183},{"from_index":798,"to_index":1234,"sum":143158,"residue":151},{"from_index":1234,"to_index":362,"sum":142673,"residue":319}],"minimal_cycle":[183,151,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[362,798],"circle_positions":653,"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":[363,799,1235],"clock_positions":[363,799,1235],"native_values":[332,647,327],"rotation_degrees":99.90825688073394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,647,327],"beta":{"interval_sums":[139122,142850,142478],"interval_residues":[33,496,124],"display_cycle":[33,496,124],"intervals":[{"from_index":363,"to_index":799,"sum":139122,"residue":33},{"from_index":799,"to_index":1235,"sum":142850,"residue":496},{"from_index":1235,"to_index":363,"sum":142478,"residue":124}],"minimal_cycle":[33,496,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[363,799],"circle_positions":653,"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":[364,800,1236],"clock_positions":[364,800,1236],"native_values":[464,176,13],"rotation_degrees":100.18348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,176,13],"beta":{"interval_sums":[139305,143001,142797],"interval_residues":[216,647,443],"display_cycle":[216,647,443],"intervals":[{"from_index":364,"to_index":800,"sum":139305,"residue":216},{"from_index":800,"to_index":1236,"sum":143001,"residue":647},{"from_index":1236,"to_index":364,"sum":142797,"residue":443}],"minimal_cycle":[216,647,443],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[364,800],"circle_positions":653,"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":[365,801,1237],"clock_positions":[365,801,1237],"native_values":[143,170,340],"rotation_degrees":100.45871559633028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,170,340],"beta":{"interval_sums":[139338,142844,142921],"interval_residues":[249,490,567],"display_cycle":[249,490,567],"intervals":[{"from_index":365,"to_index":801,"sum":139338,"residue":249},{"from_index":801,"to_index":1237,"sum":142844,"residue":490},{"from_index":1237,"to_index":365,"sum":142921,"residue":567}],"minimal_cycle":[249,490,567],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[365,801],"circle_positions":653,"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":[366,802,1238],"clock_positions":[366,802,1238],"native_values":[607,346,353],"rotation_degrees":100.73394495412845,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[607,346,353],"beta":{"interval_sums":[138901,142838,142711],"interval_residues":[465,484,357],"display_cycle":[465,484,357],"intervals":[{"from_index":366,"to_index":802,"sum":138901,"residue":465},{"from_index":802,"to_index":1238,"sum":142838,"residue":484},{"from_index":1238,"to_index":366,"sum":142711,"residue":357}],"minimal_cycle":[465,484,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[366,802],"circle_positions":653,"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":[367,803,1239],"clock_positions":[367,803,1239],"native_values":[97,516,40],"rotation_degrees":101.0091743119266,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,516,40],"beta":{"interval_sums":[139150,142675,143278],"interval_residues":[61,321,271],"display_cycle":[61,321,271],"intervals":[{"from_index":367,"to_index":803,"sum":139150,"residue":61},{"from_index":803,"to_index":1239,"sum":142675,"residue":321},{"from_index":1239,"to_index":367,"sum":143278,"residue":271}],"minimal_cycle":[61,321,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[367,803],"circle_positions":653,"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":[368,804,1240],"clock_positions":[368,804,1240],"native_values":[51,209,393],"rotation_degrees":101.28440366972477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,209,393],"beta":{"interval_sums":[139615,142506,142982],"interval_residues":[526,152,628],"display_cycle":[526,152,628],"intervals":[{"from_index":368,"to_index":804,"sum":139615,"residue":526},{"from_index":804,"to_index":1240,"sum":142506,"residue":152},{"from_index":1240,"to_index":368,"sum":142982,"residue":628}],"minimal_cycle":[526,152,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[368,804],"circle_positions":653,"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":[369,805,1241],"clock_positions":[369,805,1241],"native_values":[148,72,433],"rotation_degrees":101.55963302752293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,72,433],"beta":{"interval_sums":[139676,142827,142600],"interval_residues":[587,473,246],"display_cycle":[587,473,246],"intervals":[{"from_index":369,"to_index":805,"sum":139676,"residue":587},{"from_index":805,"to_index":1241,"sum":142827,"residue":473},{"from_index":1241,"to_index":369,"sum":142600,"residue":246}],"minimal_cycle":[587,473,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[369,805],"circle_positions":653,"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":[370,806,1242],"clock_positions":[370,806,1242],"native_values":[199,281,173],"rotation_degrees":101.8348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,281,173],"beta":{"interval_sums":[139549,142979,142575],"interval_residues":[460,625,221],"display_cycle":[460,625,221],"intervals":[{"from_index":370,"to_index":806,"sum":139549,"residue":460},{"from_index":806,"to_index":1242,"sum":142979,"residue":625},{"from_index":1242,"to_index":370,"sum":142575,"residue":221}],"minimal_cycle":[460,625,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[370,806],"circle_positions":653,"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":[371,807,1243],"clock_positions":[371,807,1243],"native_values":[347,353,606],"rotation_degrees":102.11009174311927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,353,606],"beta":{"interval_sums":[139483,142799,142168],"interval_residues":[394,445,467],"display_cycle":[394,445,467],"intervals":[{"from_index":371,"to_index":807,"sum":139483,"residue":394},{"from_index":807,"to_index":1243,"sum":142799,"residue":445},{"from_index":1243,"to_index":371,"sum":142168,"residue":467}],"minimal_cycle":[394,445,467],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[371,807],"circle_positions":653,"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":[372,808,1244],"clock_positions":[372,808,1244],"native_values":[546,634,126],"rotation_degrees":102.38532110091744,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,634,126],"beta":{"interval_sums":[139290,142771,142389],"interval_residues":[201,417,35],"display_cycle":[201,417,35],"intervals":[{"from_index":372,"to_index":808,"sum":139290,"residue":201},{"from_index":808,"to_index":1244,"sum":142771,"residue":417},{"from_index":1244,"to_index":372,"sum":142389,"residue":35}],"minimal_cycle":[201,417,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[372,808],"circle_positions":653,"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":[373,809,1245],"clock_positions":[373,809,1245],"native_values":[240,334,79],"rotation_degrees":102.66055045871559,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,334,79],"beta":{"interval_sums":[139684,142563,142856],"interval_residues":[595,209,502],"display_cycle":[595,209,502],"intervals":[{"from_index":373,"to_index":809,"sum":139684,"residue":595},{"from_index":809,"to_index":1245,"sum":142563,"residue":209},{"from_index":1245,"to_index":373,"sum":142856,"residue":502}],"minimal_cycle":[595,209,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":595,"start_interval_clock_positions":[373,809],"circle_positions":653,"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":[374,810,1246],"clock_positions":[374,810,1246],"native_values":[133,315,205],"rotation_degrees":102.93577981651376,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,315,205],"beta":{"interval_sums":[139885,142327,142891],"interval_residues":[143,626,537],"display_cycle":[143,626,537],"intervals":[{"from_index":374,"to_index":810,"sum":139885,"residue":143},{"from_index":810,"to_index":1246,"sum":142327,"residue":626},{"from_index":1246,"to_index":374,"sum":142891,"residue":537}],"minimal_cycle":[143,626,537],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[374,810],"circle_positions":653,"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":[375,811,1247],"clock_positions":[375,811,1247],"native_values":[373,649,284],"rotation_degrees":103.21100917431193,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,649,284],"beta":{"interval_sums":[139827,141883,142740],"interval_residues":[85,182,386],"display_cycle":[85,182,386],"intervals":[{"from_index":375,"to_index":811,"sum":139827,"residue":85},{"from_index":811,"to_index":1247,"sum":141883,"residue":182},{"from_index":1247,"to_index":375,"sum":142740,"residue":386}],"minimal_cycle":[85,182,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[375,811],"circle_positions":653,"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":[376,812,1248],"clock_positions":[376,812,1248],"native_values":[506,311,489],"rotation_degrees":103.4862385321101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,311,489],"beta":{"interval_sums":[139970,141856,142624],"interval_residues":[228,155,270],"display_cycle":[228,155,270],"intervals":[{"from_index":376,"to_index":812,"sum":139970,"residue":228},{"from_index":812,"to_index":1248,"sum":141856,"residue":155},{"from_index":1248,"to_index":376,"sum":142624,"residue":270}],"minimal_cycle":[228,155,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[376,812],"circle_positions":653,"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":[377,813,1249],"clock_positions":[377,813,1249],"native_values":[226,307,120],"rotation_degrees":103.76146788990826,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,307,120],"beta":{"interval_sums":[140055,142038,143010],"interval_residues":[313,337,3],"display_cycle":[313,337,3],"intervals":[{"from_index":377,"to_index":813,"sum":140055,"residue":313},{"from_index":813,"to_index":1249,"sum":142038,"residue":337},{"from_index":1249,"to_index":377,"sum":143010,"residue":3}],"minimal_cycle":[313,337,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[377,813],"circle_positions":653,"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":[378,814,1250],"clock_positions":[378,814,1250],"native_values":[79,618,609],"rotation_degrees":104.03669724770643,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,618,609],"beta":{"interval_sums":[140283,141540,142627],"interval_residues":[541,492,273],"display_cycle":[541,492,273],"intervals":[{"from_index":378,"to_index":814,"sum":140283,"residue":541},{"from_index":814,"to_index":1250,"sum":141540,"residue":492},{"from_index":1250,"to_index":378,"sum":142627,"residue":273}],"minimal_cycle":[541,492,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":541,"start_interval_clock_positions":[378,814],"circle_positions":653,"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":[379,815,1251],"clock_positions":[379,815,1251],"native_values":[305,272,76],"rotation_degrees":104.31192660550458,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,272,76],"beta":{"interval_sums":[140596,141877,142630],"interval_residues":[201,176,276],"display_cycle":[201,176,276],"intervals":[{"from_index":379,"to_index":815,"sum":140596,"residue":201},{"from_index":815,"to_index":1251,"sum":141877,"residue":176},{"from_index":1251,"to_index":379,"sum":142630,"residue":276}],"minimal_cycle":[201,176,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[379,815],"circle_positions":653,"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":[380,816,1252],"clock_positions":[380,816,1252],"native_values":[384,237,32],"rotation_degrees":104.58715596330275,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,237,32],"beta":{"interval_sums":[140484,141716,142903],"interval_residues":[89,15,549],"display_cycle":[89,15,549],"intervals":[{"from_index":380,"to_index":816,"sum":140484,"residue":89},{"from_index":816,"to_index":1252,"sum":141716,"residue":15},{"from_index":1252,"to_index":380,"sum":142903,"residue":549}],"minimal_cycle":[89,15,549],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[380,816],"circle_positions":653,"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":[381,817,1253],"clock_positions":[381,817,1253],"native_values":[36,509,108],"rotation_degrees":104.86238532110092,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,509,108],"beta":{"interval_sums":[140685,141239,143179],"interval_residues":[290,191,172],"display_cycle":[290,191,172],"intervals":[{"from_index":381,"to_index":817,"sum":140685,"residue":290},{"from_index":817,"to_index":1253,"sum":141239,"residue":191},{"from_index":1253,"to_index":381,"sum":143179,"residue":172}],"minimal_cycle":[290,191,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[381,817],"circle_positions":653,"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":[382,818,1254],"clock_positions":[382,818,1254],"native_values":[420,93,140],"rotation_degrees":105.13761467889908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,93,140],"beta":{"interval_sums":[140774,141254,143075],"interval_residues":[379,206,68],"display_cycle":[379,206,68],"intervals":[{"from_index":382,"to_index":818,"sum":140774,"residue":379},{"from_index":818,"to_index":1254,"sum":141254,"residue":206},{"from_index":1254,"to_index":382,"sum":143075,"residue":68}],"minimal_cycle":[379,206,68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[382,818],"circle_positions":653,"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":[383,819,1255],"clock_positions":[383,819,1255],"native_values":[456,602,248],"rotation_degrees":105.41284403669725,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,602,248],"beta":{"interval_sums":[140411,140792,143247],"interval_residues":[16,397,240],"display_cycle":[16,397,240],"intervals":[{"from_index":383,"to_index":819,"sum":140411,"residue":16},{"from_index":819,"to_index":1255,"sum":140792,"residue":397},{"from_index":1255,"to_index":383,"sum":143247,"residue":240}],"minimal_cycle":[16,397,240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[383,819],"circle_positions":653,"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":[384,820,1256],"clock_positions":[384,820,1256],"native_values":[223,42,388],"rotation_degrees":105.68807339449542,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,42,388],"beta":{"interval_sums":[140790,140998,143315],"interval_residues":[395,603,308],"display_cycle":[395,603,308],"intervals":[{"from_index":384,"to_index":820,"sum":140790,"residue":395},{"from_index":820,"to_index":1256,"sum":140998,"residue":603},{"from_index":1256,"to_index":384,"sum":143315,"residue":308}],"minimal_cycle":[395,603,308],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[384,820],"circle_positions":653,"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":[385,821,1257],"clock_positions":[385,821,1257],"native_values":[26,644,636],"rotation_degrees":105.96330275229357,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[26,644,636],"beta":{"interval_sums":[140806,140742,142902],"interval_residues":[411,347,548],"display_cycle":[411,347,548],"intervals":[{"from_index":385,"to_index":821,"sum":140806,"residue":411},{"from_index":821,"to_index":1257,"sum":140742,"residue":347},{"from_index":1257,"to_index":385,"sum":142902,"residue":548}],"minimal_cycle":[411,347,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[385,821],"circle_positions":653,"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":[386,822,1258],"clock_positions":[386,822,1258],"native_values":[249,33,371],"rotation_degrees":106.23853211009174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,33,371],"beta":{"interval_sums":[141201,141345,142557],"interval_residues":[153,297,203],"display_cycle":[153,297,203],"intervals":[{"from_index":386,"to_index":822,"sum":141201,"residue":153},{"from_index":822,"to_index":1258,"sum":141345,"residue":297},{"from_index":1258,"to_index":386,"sum":142557,"residue":203}],"minimal_cycle":[153,297,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[386,822],"circle_positions":653,"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":[387,823,1259],"clock_positions":[387,823,1259],"native_values":[275,24,354],"rotation_degrees":106.5137614678899,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,24,354],"beta":{"interval_sums":[140959,141692,142452],"interval_residues":[564,644,98],"display_cycle":[564,644,98],"intervals":[{"from_index":387,"to_index":823,"sum":140959,"residue":564},{"from_index":823,"to_index":1259,"sum":141692,"residue":644},{"from_index":1259,"to_index":387,"sum":142452,"residue":98}],"minimal_cycle":[564,644,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[387,823],"circle_positions":653,"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":[388,824,1260],"clock_positions":[388,824,1260],"native_values":[524,57,72],"rotation_degrees":106.78899082568807,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,57,72],"beta":{"interval_sums":[140459,141989,142655],"interval_residues":[64,288,301],"display_cycle":[64,288,301],"intervals":[{"from_index":388,"to_index":824,"sum":140459,"residue":64},{"from_index":824,"to_index":1260,"sum":141989,"residue":288},{"from_index":1260,"to_index":388,"sum":142655,"residue":301}],"minimal_cycle":[64,288,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[388,824],"circle_positions":653,"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":[389,825,1261],"clock_positions":[389,825,1261],"native_values":[146,81,426],"rotation_degrees":107.06422018348624,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,81,426],"beta":{"interval_sums":[140370,141980,142753],"interval_residues":[628,279,399],"display_cycle":[628,279,399],"intervals":[{"from_index":389,"to_index":825,"sum":140370,"residue":628},{"from_index":825,"to_index":1261,"sum":141980,"residue":279},{"from_index":1261,"to_index":389,"sum":142753,"residue":399}],"minimal_cycle":[628,279,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[389,825],"circle_positions":653,"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":[390,826,1262],"clock_positions":[390,826,1262],"native_values":[17,138,498],"rotation_degrees":107.33944954128441,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,138,498],"beta":{"interval_sums":[140434,142268,142401],"interval_residues":[39,567,47],"display_cycle":[39,567,47],"intervals":[{"from_index":390,"to_index":826,"sum":140434,"residue":39},{"from_index":826,"to_index":1262,"sum":142268,"residue":567},{"from_index":1262,"to_index":390,"sum":142401,"residue":47}],"minimal_cycle":[39,567,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[390,826],"circle_positions":653,"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":[391,827,1263],"clock_positions":[391,827,1263],"native_values":[163,219,271],"rotation_degrees":107.61467889908256,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,219,271],"beta":{"interval_sums":[140409,142547,142147],"interval_residues":[14,193,446],"display_cycle":[14,193,446],"intervals":[{"from_index":391,"to_index":827,"sum":140409,"residue":14},{"from_index":827,"to_index":1263,"sum":142547,"residue":193},{"from_index":1263,"to_index":391,"sum":142147,"residue":446}],"minimal_cycle":[14,193,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[391,827],"circle_positions":653,"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":[392,828,1264],"clock_positions":[392,828,1264],"native_values":[180,357,116],"rotation_degrees":107.88990825688073,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,357,116],"beta":{"interval_sums":[140448,142461,142194],"interval_residues":[53,107,493],"display_cycle":[53,107,493],"intervals":[{"from_index":392,"to_index":828,"sum":140448,"residue":53},{"from_index":828,"to_index":1264,"sum":142461,"residue":107},{"from_index":1264,"to_index":392,"sum":142194,"residue":493}],"minimal_cycle":[53,107,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[392,828],"circle_positions":653,"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":[393,829,1265],"clock_positions":[393,829,1265],"native_values":[343,576,387],"rotation_degrees":108.1651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,576,387],"beta":{"interval_sums":[140462,142001,141987],"interval_residues":[67,300,286],"display_cycle":[67,300,286],"intervals":[{"from_index":393,"to_index":829,"sum":140462,"residue":67},{"from_index":829,"to_index":1265,"sum":142001,"residue":300},{"from_index":1265,"to_index":393,"sum":141987,"residue":286}],"minimal_cycle":[67,300,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[393,829],"circle_positions":653,"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":[394,830,1266],"clock_positions":[394,830,1266],"native_values":[523,280,503],"rotation_degrees":108.44036697247707,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[523,280,503],"beta":{"interval_sums":[140515,142108,141827],"interval_residues":[120,407,126],"display_cycle":[120,407,126],"intervals":[{"from_index":394,"to_index":830,"sum":140515,"residue":120},{"from_index":830,"to_index":1266,"sum":142108,"residue":407},{"from_index":1266,"to_index":394,"sum":141827,"residue":126}],"minimal_cycle":[120,407,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[394,830],"circle_positions":653,"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":[395,831,1267],"clock_positions":[395,831,1267],"native_values":[213,203,237],"rotation_degrees":108.71559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,203,237],"beta":{"interval_sums":[140582,142408,142113],"interval_residues":[187,54,412],"display_cycle":[187,54,412],"intervals":[{"from_index":395,"to_index":831,"sum":140582,"residue":187},{"from_index":831,"to_index":1267,"sum":142408,"residue":54},{"from_index":1267,"to_index":395,"sum":142113,"residue":412}],"minimal_cycle":[187,54,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[395,831],"circle_positions":653,"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":[396,832,1268],"clock_positions":[396,832,1268],"native_values":[83,483,87],"rotation_degrees":108.9908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,483,87],"beta":{"interval_sums":[140702,142162,142239],"interval_residues":[307,461,538],"display_cycle":[307,461,538],"intervals":[{"from_index":396,"to_index":832,"sum":140702,"residue":307},{"from_index":832,"to_index":1268,"sum":142162,"residue":461},{"from_index":1268,"to_index":396,"sum":142239,"residue":538}],"minimal_cycle":[307,461,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[396,832],"circle_positions":653,"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":[397,833,1269],"clock_positions":[397,833,1269],"native_values":[296,33,324],"rotation_degrees":109.26605504587155,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,33,324],"beta":{"interval_sums":[140889,142216,141998],"interval_residues":[494,515,297],"display_cycle":[494,515,297],"intervals":[{"from_index":397,"to_index":833,"sum":140889,"residue":494},{"from_index":833,"to_index":1269,"sum":142216,"residue":515},{"from_index":1269,"to_index":397,"sum":141998,"residue":297}],"minimal_cycle":[494,515,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[397,833],"circle_positions":653,"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":[398,834,1270],"clock_positions":[398,834,1270],"native_values":[379,516,411],"rotation_degrees":109.54128440366972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,516,411],"beta":{"interval_sums":[140543,142024,141883],"interval_residues":[148,323,182],"display_cycle":[148,323,182],"intervals":[{"from_index":398,"to_index":834,"sum":140543,"residue":148},{"from_index":834,"to_index":1270,"sum":142024,"residue":323},{"from_index":1270,"to_index":398,"sum":141883,"residue":182}],"minimal_cycle":[148,323,182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[398,834],"circle_positions":653,"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":[399,835,1271],"clock_positions":[399,835,1271],"native_values":[22,549,82],"rotation_degrees":109.81651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,549,82],"beta":{"interval_sums":[141037,141886,142180],"interval_residues":[642,185,479],"display_cycle":[642,185,479],"intervals":[{"from_index":399,"to_index":835,"sum":141037,"residue":642},{"from_index":835,"to_index":1271,"sum":141886,"residue":185},{"from_index":1271,"to_index":399,"sum":142180,"residue":479}],"minimal_cycle":[642,185,479],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[399,835],"circle_positions":653,"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":[400,836,1272],"clock_positions":[400,836,1272],"native_values":[401,412,493],"rotation_degrees":110.09174311926606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,412,493],"beta":{"interval_sums":[141185,141556,141709],"interval_residues":[137,508,8],"display_cycle":[137,508,8],"intervals":[{"from_index":400,"to_index":836,"sum":141185,"residue":137},{"from_index":836,"to_index":1272,"sum":141556,"residue":508},{"from_index":1272,"to_index":400,"sum":141709,"residue":8}],"minimal_cycle":[137,508,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[400,836],"circle_positions":653,"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":[401,837,1273],"clock_positions":[401,837,1273],"native_values":[423,308,575],"rotation_degrees":110.36697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[423,308,575],"beta":{"interval_sums":[141174,141741,141535],"interval_residues":[126,40,487],"display_cycle":[126,40,487],"intervals":[{"from_index":401,"to_index":837,"sum":141174,"residue":126},{"from_index":837,"to_index":1273,"sum":141741,"residue":40},{"from_index":1273,"to_index":401,"sum":141535,"residue":487}],"minimal_cycle":[126,40,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[401,837],"circle_positions":653,"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":[402,838,1274],"clock_positions":[402,838,1274],"native_values":[171,67,415],"rotation_degrees":110.64220183486239,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,67,415],"beta":{"interval_sums":[141311,142249,141543],"interval_residues":[263,548,495],"display_cycle":[263,548,495],"intervals":[{"from_index":402,"to_index":838,"sum":141311,"residue":263},{"from_index":838,"to_index":1274,"sum":142249,"residue":548},{"from_index":1274,"to_index":402,"sum":141543,"residue":495}],"minimal_cycle":[263,548,495],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[402,838],"circle_positions":653,"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":[403,839,1275],"clock_positions":[403,839,1275],"native_values":[594,375,337],"rotation_degrees":110.91743119266054,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[594,375,337],"beta":{"interval_sums":[140784,142289,141377],"interval_residues":[389,588,329],"display_cycle":[389,588,329],"intervals":[{"from_index":403,"to_index":839,"sum":140784,"residue":389},{"from_index":839,"to_index":1275,"sum":142289,"residue":588},{"from_index":1275,"to_index":403,"sum":141377,"residue":329}],"minimal_cycle":[389,588,329],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[403,839],"circle_positions":653,"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":[404,840,1276],"clock_positions":[404,840,1276],"native_values":[112,442,99],"rotation_degrees":111.19266055045871,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,442,99],"beta":{"interval_sums":[141047,142184,141872],"interval_residues":[652,483,171],"display_cycle":[652,483,171],"intervals":[{"from_index":404,"to_index":840,"sum":141047,"residue":652},{"from_index":840,"to_index":1276,"sum":142184,"residue":483},{"from_index":1276,"to_index":404,"sum":141872,"residue":171}],"minimal_cycle":[652,483,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[404,840],"circle_positions":653,"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":[405,841,1277],"clock_positions":[405,841,1277],"native_values":[53,164,436],"rotation_degrees":111.46788990825688,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,164,436],"beta":{"interval_sums":[141436,142119,141548],"interval_residues":[388,418,500],"display_cycle":[388,418,500],"intervals":[{"from_index":405,"to_index":841,"sum":141436,"residue":388},{"from_index":841,"to_index":1277,"sum":142119,"residue":418},{"from_index":1277,"to_index":405,"sum":141548,"residue":500}],"minimal_cycle":[388,418,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[405,841],"circle_positions":653,"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":[406,842,1278],"clock_positions":[406,842,1278],"native_values":[165,606,535],"rotation_degrees":111.74311926605505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,606,535],"beta":{"interval_sums":[141435,141949,141066],"interval_residues":[387,248,18],"display_cycle":[387,248,18],"intervals":[{"from_index":406,"to_index":842,"sum":141435,"residue":387},{"from_index":842,"to_index":1278,"sum":141949,"residue":248},{"from_index":1278,"to_index":406,"sum":141066,"residue":18}],"minimal_cycle":[387,248,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[406,842],"circle_positions":653,"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":[407,843,1279],"clock_positions":[407,843,1279],"native_values":[218,117,318],"rotation_degrees":112.01834862385321,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[218,117,318],"beta":{"interval_sums":[141823,142367,140913],"interval_residues":[122,13,518],"display_cycle":[122,13,518],"intervals":[{"from_index":407,"to_index":843,"sum":141823,"residue":122},{"from_index":843,"to_index":1279,"sum":142367,"residue":13},{"from_index":1279,"to_index":407,"sum":140913,"residue":518}],"minimal_cycle":[122,13,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[407,843],"circle_positions":653,"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":[408,844,1280],"clock_positions":[408,844,1280],"native_values":[383,70,200],"rotation_degrees":112.29357798165138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,70,200],"beta":{"interval_sums":[141557,142615,140931],"interval_residues":[509,261,536],"display_cycle":[509,261,536],"intervals":[{"from_index":408,"to_index":844,"sum":141557,"residue":509},{"from_index":844,"to_index":1280,"sum":142615,"residue":261},{"from_index":1280,"to_index":408,"sum":140931,"residue":536}],"minimal_cycle":[509,261,536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":509,"start_interval_clock_positions":[408,844],"circle_positions":653,"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":[409,845,1281],"clock_positions":[409,845,1281],"native_values":[601,187,518],"rotation_degrees":112.56880733944953,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,187,518],"beta":{"interval_sums":[141026,142628,140796],"interval_residues":[631,274,401],"display_cycle":[631,274,401],"intervals":[{"from_index":409,"to_index":845,"sum":141026,"residue":631},{"from_index":845,"to_index":1281,"sum":142628,"residue":274},{"from_index":1281,"to_index":409,"sum":140796,"residue":401}],"minimal_cycle":[631,274,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":631,"start_interval_clock_positions":[409,845],"circle_positions":653,"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":[410,846,1282],"clock_positions":[410,846,1282],"native_values":[331,257,65],"rotation_degrees":112.8440366972477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,257,65],"beta":{"interval_sums":[140882,142889,141332],"interval_residues":[487,535,284],"display_cycle":[487,535,284],"intervals":[{"from_index":410,"to_index":846,"sum":140882,"residue":487},{"from_index":846,"to_index":1282,"sum":142889,"residue":535},{"from_index":1282,"to_index":410,"sum":141332,"residue":284}],"minimal_cycle":[487,535,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[410,846],"circle_positions":653,"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":[411,847,1283],"clock_positions":[411,847,1283],"native_values":[279,444,583],"rotation_degrees":113.11926605504587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,444,583],"beta":{"interval_sums":[140860,142510,141080],"interval_residues":[465,156,32],"display_cycle":[465,156,32],"intervals":[{"from_index":411,"to_index":847,"sum":140860,"residue":465},{"from_index":847,"to_index":1283,"sum":142510,"residue":156},{"from_index":1283,"to_index":411,"sum":141080,"residue":32}],"minimal_cycle":[465,156,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[411,847],"circle_positions":653,"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":[412,848,1284],"clock_positions":[412,848,1284],"native_values":[610,48,648],"rotation_degrees":113.39449541284404,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,48,648],"beta":{"interval_sums":[140694,143045,140711],"interval_residues":[299,38,316],"display_cycle":[299,38,316],"intervals":[{"from_index":412,"to_index":848,"sum":140694,"residue":299},{"from_index":848,"to_index":1284,"sum":143045,"residue":38},{"from_index":1284,"to_index":412,"sum":140711,"residue":316}],"minimal_cycle":[299,38,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[412,848],"circle_positions":653,"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":[413,849,1285],"clock_positions":[413,849,1285],"native_values":[236,492,578],"rotation_degrees":113.6697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,492,578],"beta":{"interval_sums":[140506,143201,140743],"interval_residues":[111,194,348],"display_cycle":[111,194,348],"intervals":[{"from_index":413,"to_index":849,"sum":140506,"residue":111},{"from_index":849,"to_index":1285,"sum":143201,"residue":194},{"from_index":1285,"to_index":413,"sum":140743,"residue":348}],"minimal_cycle":[111,194,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[413,849],"circle_positions":653,"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":[414,850,1286],"clock_positions":[414,850,1286],"native_values":[193,540,573],"rotation_degrees":113.94495412844037,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,540,573],"beta":{"interval_sums":[140805,143239,140406],"interval_residues":[410,232,11],"display_cycle":[410,232,11],"intervals":[{"from_index":414,"to_index":850,"sum":140805,"residue":410},{"from_index":850,"to_index":1286,"sum":143239,"residue":232},{"from_index":1286,"to_index":414,"sum":140406,"residue":11}],"minimal_cycle":[410,232,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[414,850],"circle_positions":653,"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":[415,851,1287],"clock_positions":[415,851,1287],"native_values":[429,379,498],"rotation_degrees":114.22018348623853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,379,498],"beta":{"interval_sums":[140916,143433,140101],"interval_residues":[521,426,359],"display_cycle":[521,426,359],"intervals":[{"from_index":415,"to_index":851,"sum":140916,"residue":521},{"from_index":851,"to_index":1287,"sum":143433,"residue":426},{"from_index":1287,"to_index":415,"sum":140101,"residue":359}],"minimal_cycle":[521,426,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":521,"start_interval_clock_positions":[415,851],"circle_positions":653,"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":[416,852,1288],"clock_positions":[416,852,1288],"native_values":[622,266,418],"rotation_degrees":114.4954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,266,418],"beta":{"interval_sums":[140673,143665,140112],"interval_residues":[278,5,370],"display_cycle":[278,5,370],"intervals":[{"from_index":416,"to_index":852,"sum":140673,"residue":278},{"from_index":852,"to_index":1288,"sum":143665,"residue":5},{"from_index":1288,"to_index":416,"sum":140112,"residue":370}],"minimal_cycle":[278,5,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[416,852],"circle_positions":653,"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":[417,853,1289],"clock_positions":[417,853,1289],"native_values":[398,645,263],"rotation_degrees":114.77064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[398,645,263],"beta":{"interval_sums":[140541,143438,140471],"interval_residues":[146,431,76],"display_cycle":[146,431,76],"intervals":[{"from_index":417,"to_index":853,"sum":140541,"residue":146},{"from_index":853,"to_index":1289,"sum":143438,"residue":431},{"from_index":1289,"to_index":417,"sum":140471,"residue":76}],"minimal_cycle":[146,431,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[417,853],"circle_positions":653,"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":[418,854,1290],"clock_positions":[418,854,1290],"native_values":[367,258,28],"rotation_degrees":115.04587155963303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[367,258,28],"beta":{"interval_sums":[140819,143443,140841],"interval_residues":[424,436,446],"display_cycle":[424,436,446],"intervals":[{"from_index":418,"to_index":854,"sum":140819,"residue":424},{"from_index":854,"to_index":1290,"sum":143443,"residue":436},{"from_index":1290,"to_index":418,"sum":140841,"residue":446}],"minimal_cycle":[424,436,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[418,854],"circle_positions":653,"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":[419,855,1291],"clock_positions":[419,855,1291],"native_values":[112,250,291],"rotation_degrees":115.3211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,250,291],"beta":{"interval_sums":[140965,143221,140917],"interval_residues":[570,214,522],"display_cycle":[570,214,522],"intervals":[{"from_index":419,"to_index":855,"sum":140965,"residue":570},{"from_index":855,"to_index":1291,"sum":143221,"residue":214},{"from_index":1291,"to_index":419,"sum":140917,"residue":522}],"minimal_cycle":[570,214,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[419,855],"circle_positions":653,"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":[420,856,1292],"clock_positions":[420,856,1292],"native_values":[479,508,319],"rotation_degrees":115.59633027522936,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,508,319],"beta":{"interval_sums":[140736,143004,140710],"interval_residues":[341,650,315],"display_cycle":[341,650,315],"intervals":[{"from_index":420,"to_index":856,"sum":140736,"residue":341},{"from_index":856,"to_index":1292,"sum":143004,"residue":650},{"from_index":1292,"to_index":420,"sum":140710,"residue":315}],"minimal_cycle":[341,650,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[420,856],"circle_positions":653,"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":[421,857,1293],"clock_positions":[421,857,1293],"native_values":[591,105,610],"rotation_degrees":115.87155963302752,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,105,610],"beta":{"interval_sums":[140653,143218,140579],"interval_residues":[258,211,184],"display_cycle":[258,211,184],"intervals":[{"from_index":421,"to_index":857,"sum":140653,"residue":258},{"from_index":857,"to_index":1293,"sum":143218,"residue":211},{"from_index":1293,"to_index":421,"sum":140579,"residue":184}],"minimal_cycle":[258,211,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[421,857],"circle_positions":653,"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":[422,858,1294],"clock_positions":[422,858,1294],"native_values":[417,613,276],"rotation_degrees":116.14678899082568,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,613,276],"beta":{"interval_sums":[140341,143215,140894],"interval_residues":[599,208,499],"display_cycle":[599,208,499],"intervals":[{"from_index":422,"to_index":858,"sum":140341,"residue":599},{"from_index":858,"to_index":1294,"sum":143215,"residue":208},{"from_index":1294,"to_index":422,"sum":140894,"residue":499}],"minimal_cycle":[599,208,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[422,858],"circle_positions":653,"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":[423,859,1295],"clock_positions":[423,859,1295],"native_values":[355,65,233],"rotation_degrees":116.42201834862385,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,65,233],"beta":{"interval_sums":[140599,143426,141078],"interval_residues":[204,419,30],"display_cycle":[204,419,30],"intervals":[{"from_index":423,"to_index":859,"sum":140599,"residue":204},{"from_index":859,"to_index":1295,"sum":143426,"residue":419},{"from_index":1295,"to_index":423,"sum":141078,"residue":30}],"minimal_cycle":[204,419,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[423,859],"circle_positions":653,"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":[424,860,1296],"clock_positions":[424,860,1296],"native_values":[119,25,509],"rotation_degrees":116.69724770642202,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,25,509],"beta":{"interval_sums":[140545,143634,140924],"interval_residues":[150,627,529],"display_cycle":[150,627,529],"intervals":[{"from_index":424,"to_index":860,"sum":140545,"residue":150},{"from_index":860,"to_index":1296,"sum":143634,"residue":627},{"from_index":1296,"to_index":424,"sum":140924,"residue":529}],"minimal_cycle":[150,627,529],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[424,860],"circle_positions":653,"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":[425,861,1297],"clock_positions":[425,861,1297],"native_values":[474,90,89],"rotation_degrees":116.97247706422019,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[474,90,89],"beta":{"interval_sums":[140096,144053,140954],"interval_residues":[354,393,559],"display_cycle":[354,393,559],"intervals":[{"from_index":425,"to_index":861,"sum":140096,"residue":354},{"from_index":861,"to_index":1297,"sum":144053,"residue":393},{"from_index":1297,"to_index":425,"sum":140954,"residue":559}],"minimal_cycle":[354,393,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[425,861],"circle_positions":653,"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":[426,862,1298],"clock_positions":[426,862,1298],"native_values":[593,115,598],"rotation_degrees":117.24770642201835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,115,598],"beta":{"interval_sums":[139593,144027,140830],"interval_residues":[504,367,435],"display_cycle":[504,367,435],"intervals":[{"from_index":426,"to_index":862,"sum":139593,"residue":504},{"from_index":862,"to_index":1298,"sum":144027,"residue":367},{"from_index":1298,"to_index":426,"sum":140830,"residue":435}],"minimal_cycle":[504,367,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[426,862],"circle_positions":653,"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":[427,863,1299],"clock_positions":[427,863,1299],"native_values":[414,205,34],"rotation_degrees":117.5229357798165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,205,34],"beta":{"interval_sums":[139294,144420,141389],"interval_residues":[205,107,341],"display_cycle":[205,107,341],"intervals":[{"from_index":427,"to_index":863,"sum":139294,"residue":205},{"from_index":863,"to_index":1299,"sum":144420,"residue":107},{"from_index":1299,"to_index":427,"sum":141389,"residue":341}],"minimal_cycle":[205,107,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[427,863],"circle_positions":653,"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":[428,864,1300],"clock_positions":[428,864,1300],"native_values":[354,320,632],"rotation_degrees":117.79816513761467,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,320,632],"beta":{"interval_sums":[139145,144134,141171],"interval_residues":[56,474,123],"display_cycle":[56,474,123],"intervals":[{"from_index":428,"to_index":864,"sum":139145,"residue":56},{"from_index":864,"to_index":1300,"sum":144134,"residue":474},{"from_index":1300,"to_index":428,"sum":141171,"residue":123}],"minimal_cycle":[56,474,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[428,864],"circle_positions":653,"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":[429,865,1301],"clock_positions":[429,865,1301],"native_values":[115,525,13],"rotation_degrees":118.07339449541284,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,525,13],"beta":{"interval_sums":[139350,144241,141512],"interval_residues":[261,581,464],"display_cycle":[261,581,464],"intervals":[{"from_index":429,"to_index":865,"sum":139350,"residue":261},{"from_index":865,"to_index":1301,"sum":144241,"residue":581},{"from_index":1301,"to_index":429,"sum":141512,"residue":464}],"minimal_cycle":[261,581,464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[429,865],"circle_positions":653,"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":[430,866,1302],"clock_positions":[430,866,1302],"native_values":[469,192,645],"rotation_degrees":118.34862385321101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,192,645],"beta":{"interval_sums":[139406,144062,140982],"interval_residues":[317,402,587],"display_cycle":[317,402,587],"intervals":[{"from_index":430,"to_index":866,"sum":139406,"residue":317},{"from_index":866,"to_index":1302,"sum":144062,"residue":402},{"from_index":1302,"to_index":430,"sum":140982,"residue":587}],"minimal_cycle":[317,402,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[430,866],"circle_positions":653,"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":[431,867,1303],"clock_positions":[431,867,1303],"native_values":[584,64,5],"rotation_degrees":118.62385321100918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,64,5],"beta":{"interval_sums":[139014,144643,141446],"interval_residues":[578,330,398],"display_cycle":[578,330,398],"intervals":[{"from_index":431,"to_index":867,"sum":139014,"residue":578},{"from_index":867,"to_index":1303,"sum":144643,"residue":330},{"from_index":1303,"to_index":431,"sum":141446,"residue":398}],"minimal_cycle":[578,330,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[431,867],"circle_positions":653,"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":[432,868,1304],"clock_positions":[432,868,1304],"native_values":[400,256,650],"rotation_degrees":118.89908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,256,650],"beta":{"interval_sums":[138678,144392,141380],"interval_residues":[242,79,332],"display_cycle":[242,79,332],"intervals":[{"from_index":432,"to_index":868,"sum":138678,"residue":242},{"from_index":868,"to_index":1304,"sum":144392,"residue":79},{"from_index":1304,"to_index":432,"sum":141380,"residue":332}],"minimal_cycle":[242,79,332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[432,868],"circle_positions":653,"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":[433,869,1305],"clock_positions":[433,869,1305],"native_values":[331,320,2],"rotation_degrees":119.1743119266055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,320,2],"beta":{"interval_sums":[138603,144722,141778],"interval_residues":[167,409,77],"display_cycle":[167,409,77],"intervals":[{"from_index":433,"to_index":869,"sum":138603,"residue":167},{"from_index":869,"to_index":1305,"sum":144722,"residue":409},{"from_index":1305,"to_index":433,"sum":141778,"residue":77}],"minimal_cycle":[167,409,77],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[433,869],"circle_positions":653,"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":[434,870,1306],"clock_positions":[434,870,1306],"native_values":[78,576,652],"rotation_degrees":119.44954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,576,652],"beta":{"interval_sums":[138845,144148,141457],"interval_residues":[409,488,409],"display_cycle":[409,488,409],"intervals":[{"from_index":434,"to_index":870,"sum":138845,"residue":409},{"from_index":870,"to_index":1306,"sum":144148,"residue":488},{"from_index":1306,"to_index":434,"sum":141457,"residue":409}],"minimal_cycle":[409,488,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[434,870],"circle_positions":653,"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":[435,871,1307],"clock_positions":[435,871,1307],"native_values":[409,243,1],"rotation_degrees":119.72477064220183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,243,1],"beta":{"interval_sums":[139012,144557,141534],"interval_residues":[576,244,486],"display_cycle":[576,244,486],"intervals":[{"from_index":435,"to_index":871,"sum":139012,"residue":576},{"from_index":871,"to_index":1307,"sum":144557,"residue":244},{"from_index":1307,"to_index":435,"sum":141534,"residue":486}],"minimal_cycle":[576,244,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[435,871],"circle_positions":653,"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":[0,218,436,654,872,1090],"clock_positions":[1308,218,436,654,872,1090],"native_values":[653,487,487,653,166,166],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,487,487,653,166,166],"beta":{"interval_sums":[72726,68730,69793,68975,72318,71908],"interval_residues":[243,165,575,410,488,78],"display_cycle":[243,165,575,410,488,78],"intervals":[{"from_index":0,"to_index":218,"sum":72726,"residue":243},{"from_index":218,"to_index":436,"sum":68730,"residue":165},{"from_index":436,"to_index":654,"sum":69793,"residue":575},{"from_index":654,"to_index":872,"sum":68975,"residue":410},{"from_index":872,"to_index":1090,"sum":72318,"residue":488},{"from_index":1090,"to_index":0,"sum":71908,"residue":78}],"minimal_cycle":[243,165,575,410,488,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[1308,218],"circle_positions":653,"cycle_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":[1,219,437,655,873,1091],"clock_positions":[1,219,437,655,873,1091],"native_values":[1,244,243,652,409,410],"rotation_degrees":0.27522935779816515,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,244,243,652,409,410],"beta":{"interval_sums":[73212,68973,69550,68489,72075,71498],"interval_residues":[76,408,332,577,245,321],"display_cycle":[76,408,332,577,245,321],"intervals":[{"from_index":1,"to_index":219,"sum":73212,"residue":76},{"from_index":219,"to_index":437,"sum":68973,"residue":408},{"from_index":437,"to_index":655,"sum":69550,"residue":332},{"from_index":655,"to_index":873,"sum":68489,"residue":577},{"from_index":873,"to_index":1091,"sum":72075,"residue":245},{"from_index":1091,"to_index":1,"sum":71498,"residue":321}],"minimal_cycle":[76,408,332,577,245,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[1,219],"circle_positions":653,"cycle_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":[2,220,438,656,874,1092],"clock_positions":[2,220,438,656,874,1092],"native_values":[1,78,77,652,575,576],"rotation_degrees":0.5504587155963303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,78,77,652,575,576],"beta":{"interval_sums":[73455,69138,70125,68246,71910,70923],"interval_residues":[319,573,254,334,80,399],"display_cycle":[319,573,254,334,80,399],"intervals":[{"from_index":2,"to_index":220,"sum":73455,"residue":319},{"from_index":220,"to_index":438,"sum":69138,"residue":573},{"from_index":438,"to_index":656,"sum":70125,"residue":254},{"from_index":656,"to_index":874,"sum":68246,"residue":334},{"from_index":874,"to_index":1092,"sum":71910,"residue":80},{"from_index":1092,"to_index":2,"sum":70923,"residue":399}],"minimal_cycle":[319,573,254,334,80,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[2,220],"circle_positions":653,"cycle_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":[3,221,439,657,875,1093],"clock_positions":[3,221,439,657,875,1093],"native_values":[2,322,320,651,331,333],"rotation_degrees":0.8256880733944955,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,322,320,651,331,333],"beta":{"interval_sums":[73531,68893,70457,68170,72155,70591],"interval_residues":[395,328,586,258,325,67],"display_cycle":[395,328,586,258,325,67],"intervals":[{"from_index":3,"to_index":221,"sum":73531,"residue":395},{"from_index":221,"to_index":439,"sum":68893,"residue":328},{"from_index":439,"to_index":657,"sum":70457,"residue":586},{"from_index":657,"to_index":875,"sum":68170,"residue":258},{"from_index":875,"to_index":1093,"sum":72155,"residue":325},{"from_index":1093,"to_index":3,"sum":70591,"residue":67}],"minimal_cycle":[395,328,586,258,325,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[3,221],"circle_positions":653,"cycle_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":[4,222,440,658,876,1094],"clock_positions":[4,222,440,658,876,1094],"native_values":[3,400,397,650,253,256],"rotation_degrees":1.1009174311926606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,400,397,650,253,256],"beta":{"interval_sums":[73850,68813,70711,67851,72235,70337],"interval_residues":[61,248,187,592,405,466],"display_cycle":[61,248,187,592,405,466],"intervals":[{"from_index":4,"to_index":222,"sum":73850,"residue":61},{"from_index":222,"to_index":440,"sum":68813,"residue":248},{"from_index":440,"to_index":658,"sum":70711,"residue":187},{"from_index":658,"to_index":876,"sum":67851,"residue":592},{"from_index":876,"to_index":1094,"sum":72235,"residue":405},{"from_index":1094,"to_index":4,"sum":70337,"residue":466}],"minimal_cycle":[61,248,187,592,405,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[4,222],"circle_positions":653,"cycle_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":[5,223,441,659,877,1095],"clock_positions":[5,223,441,659,877,1095],"native_values":[5,69,64,648,584,589],"rotation_degrees":1.3761467889908257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,69,64,648,584,589],"beta":{"interval_sums":[74245,69141,71297,67456,71907,69751],"interval_residues":[456,576,120,197,77,533],"display_cycle":[456,576,120,197,77,533],"intervals":[{"from_index":5,"to_index":223,"sum":74245,"residue":456},{"from_index":223,"to_index":441,"sum":69141,"residue":576},{"from_index":441,"to_index":659,"sum":71297,"residue":120},{"from_index":659,"to_index":877,"sum":67456,"residue":197},{"from_index":877,"to_index":1095,"sum":71907,"residue":77},{"from_index":1095,"to_index":5,"sum":69751,"residue":533}],"minimal_cycle":[456,576,120,197,77,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[5,223],"circle_positions":653,"cycle_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":[6,224,442,660,878,1096],"clock_positions":[6,224,442,660,878,1096],"native_values":[8,469,461,645,184,192],"rotation_degrees":1.651376146788991,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,469,461,645,184,192],"beta":{"interval_sums":[74306,68736,71484,67395,72312,69564],"interval_residues":[517,171,307,136,482,346],"display_cycle":[517,171,307,136,482,346],"intervals":[{"from_index":6,"to_index":224,"sum":74306,"residue":517},{"from_index":224,"to_index":442,"sum":68736,"residue":171},{"from_index":442,"to_index":660,"sum":71484,"residue":307},{"from_index":660,"to_index":878,"sum":67395,"residue":136},{"from_index":878,"to_index":1096,"sum":72312,"residue":482},{"from_index":1096,"to_index":6,"sum":69564,"residue":346}],"minimal_cycle":[517,171,307,136,482,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":517,"start_interval_clock_positions":[6,224],"circle_positions":653,"cycle_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":[7,225,443,661,879,1097],"clock_positions":[7,225,443,661,879,1097],"native_values":[13,538,525,640,115,128],"rotation_degrees":1.926605504587156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,538,525,640,115,128],"beta":{"interval_sums":[74762,68659,71604,66939,72389,69444],"interval_residues":[320,94,427,333,559,226],"display_cycle":[320,94,427,333,559,226],"intervals":[{"from_index":7,"to_index":225,"sum":74762,"residue":320},{"from_index":225,"to_index":443,"sum":68659,"residue":94},{"from_index":443,"to_index":661,"sum":71604,"residue":427},{"from_index":661,"to_index":879,"sum":66939,"residue":333},{"from_index":879,"to_index":1097,"sum":72389,"residue":559},{"from_index":1097,"to_index":7,"sum":69444,"residue":226}],"minimal_cycle":[320,94,427,333,559,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[7,225],"circle_positions":653,"cycle_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":[8,226,444,662,880,1098],"clock_positions":[8,226,444,662,880,1098],"native_values":[21,354,333,632,299,320],"rotation_degrees":2.2018348623853212,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,354,333,632,299,320],"beta":{"interval_sums":[75279,68830,71911,66422,72218,69137],"interval_residues":[184,265,81,469,388,572],"display_cycle":[184,265,81,469,388,572],"intervals":[{"from_index":8,"to_index":226,"sum":75279,"residue":184},{"from_index":226,"to_index":444,"sum":68830,"residue":265},{"from_index":444,"to_index":662,"sum":71911,"residue":81},{"from_index":662,"to_index":880,"sum":66422,"residue":469},{"from_index":880,"to_index":1098,"sum":72218,"residue":388},{"from_index":1098,"to_index":8,"sum":69137,"residue":572}],"minimal_cycle":[184,265,81,469,388,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[8,226],"circle_positions":653,"cycle_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":[9,227,445,663,881,1099],"clock_positions":[9,227,445,663,881,1099],"native_values":[34,239,205,619,414,448],"rotation_degrees":2.477064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,239,205,619,414,448],"beta":{"interval_sums":[75599,68924,72338,66102,72124,68710],"interval_residues":[504,359,508,149,294,145],"display_cycle":[504,359,508,149,294,145],"intervals":[{"from_index":9,"to_index":227,"sum":75599,"residue":504},{"from_index":227,"to_index":445,"sum":68924,"residue":359},{"from_index":445,"to_index":663,"sum":72338,"residue":508},{"from_index":663,"to_index":881,"sum":66102,"residue":149},{"from_index":881,"to_index":1099,"sum":72124,"residue":294},{"from_index":1099,"to_index":9,"sum":68710,"residue":145}],"minimal_cycle":[504,359,508,149,294,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[9,227],"circle_positions":653,"cycle_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":[10,228,446,664,882,1100],"clock_positions":[10,228,446,664,882,1100],"native_values":[55,593,538,598,60,115],"rotation_degrees":2.7522935779816513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,593,538,598,60,115],"beta":{"interval_sums":[75783,68536,72419,65918,72512,68629],"interval_residues":[35,624,589,618,29,64],"display_cycle":[35,624,589,618,29,64],"intervals":[{"from_index":10,"to_index":228,"sum":75783,"residue":35},{"from_index":228,"to_index":446,"sum":68536,"residue":624},{"from_index":446,"to_index":664,"sum":72419,"residue":589},{"from_index":664,"to_index":882,"sum":65918,"residue":618},{"from_index":882,"to_index":1100,"sum":72512,"residue":29},{"from_index":1100,"to_index":10,"sum":68629,"residue":64}],"minimal_cycle":[35,624,589,618,29,64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[10,228],"circle_positions":653,"cycle_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":[11,229,447,665,883,1101],"clock_positions":[11,229,447,665,883,1101],"native_values":[89,179,90,564,474,563],"rotation_degrees":3.0275229357798166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,179,90,564,474,563],"beta":{"interval_sums":[76287,68895,72927,65414,72153,68121],"interval_residues":[539,330,444,114,323,209],"display_cycle":[539,330,444,114,323,209],"intervals":[{"from_index":11,"to_index":229,"sum":76287,"residue":539},{"from_index":229,"to_index":447,"sum":68895,"residue":330},{"from_index":447,"to_index":665,"sum":72927,"residue":444},{"from_index":665,"to_index":883,"sum":65414,"residue":114},{"from_index":883,"to_index":1101,"sum":72153,"residue":323},{"from_index":1101,"to_index":11,"sum":68121,"residue":209}],"minimal_cycle":[539,330,444,114,323,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[11,229],"circle_positions":653,"cycle_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":[12,230,448,666,884,1102],"clock_positions":[12,230,448,666,884,1102],"native_values":[144,119,628,509,534,25],"rotation_degrees":3.302752293577982,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,119,628,509,534,25],"beta":{"interval_sums":[76322,68866,72863,65379,72182,68185],"interval_residues":[574,301,380,79,352,273],"display_cycle":[574,301,380,79,352,273],"intervals":[{"from_index":12,"to_index":230,"sum":76322,"residue":574},{"from_index":230,"to_index":448,"sum":68866,"residue":301},{"from_index":448,"to_index":666,"sum":72863,"residue":380},{"from_index":666,"to_index":884,"sum":65379,"residue":79},{"from_index":884,"to_index":1102,"sum":72182,"residue":352},{"from_index":1102,"to_index":12,"sum":68185,"residue":273}],"minimal_cycle":[574,301,380,79,352,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[12,230],"circle_positions":653,"cycle_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":[13,231,449,667,885,1103],"clock_positions":[13,231,449,667,885,1103],"native_values":[233,298,65,420,355,588],"rotation_degrees":3.5779816513761467,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,298,65,420,355,588],"beta":{"interval_sums":[76208,69196,73307,65493,71852,67741],"interval_residues":[460,631,171,193,22,482],"display_cycle":[460,631,171,193,22,482],"intervals":[{"from_index":13,"to_index":231,"sum":76208,"residue":460},{"from_index":231,"to_index":449,"sum":69196,"residue":631},{"from_index":449,"to_index":667,"sum":73307,"residue":171},{"from_index":667,"to_index":885,"sum":65493,"residue":193},{"from_index":885,"to_index":1103,"sum":71852,"residue":22},{"from_index":1103,"to_index":13,"sum":67741,"residue":482}],"minimal_cycle":[460,631,171,193,22,482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[13,231],"circle_positions":653,"cycle_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":[14,232,450,668,886,1104],"clock_positions":[14,232,450,668,886,1104],"native_values":[377,417,40,276,236,613],"rotation_degrees":3.853211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,417,40,276,236,613],"beta":{"interval_sums":[76129,68844,73687,65572,72204,67361],"interval_residues":[381,279,551,272,374,102],"display_cycle":[381,279,551,272,374,102],"intervals":[{"from_index":14,"to_index":232,"sum":76129,"residue":381},{"from_index":232,"to_index":450,"sum":68844,"residue":279},{"from_index":450,"to_index":668,"sum":73687,"residue":551},{"from_index":668,"to_index":886,"sum":65572,"residue":272},{"from_index":886,"to_index":1104,"sum":72204,"residue":374},{"from_index":1104,"to_index":14,"sum":67361,"residue":102}],"minimal_cycle":[381,279,551,272,374,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":381,"start_interval_clock_positions":[14,232],"circle_positions":653,"cycle_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":[15,233,451,669,887,1105],"clock_positions":[15,233,451,669,887,1105],"native_values":[610,62,105,43,591,548],"rotation_degrees":4.128440366972477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,62,105,43,591,548],"beta":{"interval_sums":[75936,68822,73858,65765,72226,67190],"interval_residues":[188,257,69,465,396,584],"display_cycle":[188,257,69,465,396,584],"intervals":[{"from_index":15,"to_index":233,"sum":75936,"residue":188},{"from_index":233,"to_index":451,"sum":68822,"residue":257},{"from_index":451,"to_index":669,"sum":73858,"residue":69},{"from_index":669,"to_index":887,"sum":65765,"residue":465},{"from_index":887,"to_index":1105,"sum":72226,"residue":396},{"from_index":1105,"to_index":15,"sum":67190,"residue":584}],"minimal_cycle":[188,257,69,465,396,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[15,233],"circle_positions":653,"cycle_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":[16,234,452,670,888,1106],"clock_positions":[16,234,452,670,888,1106],"native_values":[334,479,145,319,174,508],"rotation_degrees":4.4036697247706424,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,479,145,319,174,508],"beta":{"interval_sums":[75664,68448,73756,66037,72600,67292],"interval_residues":[569,536,620,84,117,33],"display_cycle":[569,536,620,84,117,33],"intervals":[{"from_index":16,"to_index":234,"sum":75664,"residue":569},{"from_index":234,"to_index":452,"sum":68448,"residue":536},{"from_index":452,"to_index":670,"sum":73756,"residue":620},{"from_index":670,"to_index":888,"sum":66037,"residue":84},{"from_index":888,"to_index":1106,"sum":72600,"residue":117},{"from_index":1106,"to_index":16,"sum":67292,"residue":33}],"minimal_cycle":[569,536,620,84,117,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":569,"start_interval_clock_positions":[16,234],"circle_positions":653,"cycle_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":[17,235,453,671,889,1107],"clock_positions":[17,235,453,671,889,1107],"native_values":[291,541,250,362,112,403],"rotation_degrees":4.678899082568807,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,541,250,362,112,403],"beta":{"interval_sums":[75852,68052,73825,65849,72996,67223],"interval_residues":[104,140,36,549,513,617],"display_cycle":[104,140,36,549,513,617],"intervals":[{"from_index":17,"to_index":235,"sum":75852,"residue":104},{"from_index":235,"to_index":453,"sum":68052,"residue":140},{"from_index":453,"to_index":671,"sum":73825,"residue":36},{"from_index":671,"to_index":889,"sum":65849,"residue":549},{"from_index":889,"to_index":1107,"sum":72996,"residue":513},{"from_index":1107,"to_index":17,"sum":67223,"residue":617}],"minimal_cycle":[104,140,36,549,513,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[17,235],"circle_positions":653,"cycle_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":[18,236,454,672,890,1108],"clock_positions":[18,236,454,672,890,1108],"native_values":[625,367,395,28,286,258],"rotation_degrees":4.954128440366972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,367,395,28,286,258],"beta":{"interval_sums":[75768,67935,73792,65933,73113,67256],"interval_residues":[20,23,3,633,630,650],"display_cycle":[20,23,3,633,630,650],"intervals":[{"from_index":18,"to_index":236,"sum":75768,"residue":20},{"from_index":236,"to_index":454,"sum":67935,"residue":23},{"from_index":454,"to_index":672,"sum":73792,"residue":3},{"from_index":672,"to_index":890,"sum":65933,"residue":633},{"from_index":890,"to_index":1108,"sum":73113,"residue":630},{"from_index":1108,"to_index":18,"sum":67256,"residue":650}],"minimal_cycle":[20,23,3,633,630,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[18,236],"circle_positions":653,"cycle_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":[19,237,455,673,891,1109],"clock_positions":[19,237,455,673,891,1109],"native_values":[263,255,645,390,398,8],"rotation_degrees":5.229357798165138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,255,645,390,398,8],"beta":{"interval_sums":[75872,68075,73175,65829,72973,67873],"interval_residues":[124,163,39,529,490,614],"display_cycle":[124,163,39,529,490,614],"intervals":[{"from_index":19,"to_index":237,"sum":75872,"residue":124},{"from_index":237,"to_index":455,"sum":68075,"residue":163},{"from_index":455,"to_index":673,"sum":73175,"residue":39},{"from_index":673,"to_index":891,"sum":65829,"residue":529},{"from_index":891,"to_index":1109,"sum":72973,"residue":490},{"from_index":1109,"to_index":19,"sum":67873,"residue":614}],"minimal_cycle":[124,163,39,529,490,614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[19,237],"circle_positions":653,"cycle_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":[20,238,456,674,892,1110],"clock_positions":[20,238,456,674,892,1110],"native_values":[235,622,387,418,31,266],"rotation_degrees":5.504587155963303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,622,387,418,31,266],"beta":{"interval_sums":[75892,68098,73178,65809,72950,67870],"interval_residues":[144,186,42,509,467,611],"display_cycle":[144,186,42,509,467,611],"intervals":[{"from_index":20,"to_index":238,"sum":75892,"residue":144},{"from_index":238,"to_index":456,"sum":68098,"residue":186},{"from_index":456,"to_index":674,"sum":73178,"residue":42},{"from_index":674,"to_index":892,"sum":65809,"residue":509},{"from_index":892,"to_index":1110,"sum":72950,"residue":467},{"from_index":1110,"to_index":20,"sum":67870,"residue":611}],"minimal_cycle":[144,186,42,509,467,611],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[20,238],"circle_positions":653,"cycle_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":[21,239,457,675,893,1111],"clock_positions":[21,239,457,675,893,1111],"native_values":[498,224,379,155,429,274],"rotation_degrees":5.779816513761468,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,224,379,155,429,274],"beta":{"interval_sums":[76016,68261,73217,65685,72787,67831],"interval_residues":[268,349,81,385,304,572],"display_cycle":[268,349,81,385,304,572],"intervals":[{"from_index":21,"to_index":239,"sum":76016,"residue":268},{"from_index":239,"to_index":457,"sum":68261,"residue":349},{"from_index":457,"to_index":675,"sum":73217,"residue":81},{"from_index":675,"to_index":893,"sum":65685,"residue":385},{"from_index":893,"to_index":1111,"sum":72787,"residue":304},{"from_index":1111,"to_index":21,"sum":67831,"residue":572}],"minimal_cycle":[268,349,81,385,304,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[21,239],"circle_positions":653,"cycle_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":[22,240,458,676,894,1112],"clock_positions":[22,240,458,676,894,1112],"native_values":[80,193,113,573,460,540],"rotation_degrees":6.055045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,193,113,573,460,540],"beta":{"interval_sums":[76160,68447,73259,65541,72601,67789],"interval_residues":[412,535,123,241,118,530],"display_cycle":[412,535,123,241,118,530],"intervals":[{"from_index":22,"to_index":240,"sum":76160,"residue":412},{"from_index":240,"to_index":458,"sum":68447,"residue":535},{"from_index":458,"to_index":676,"sum":73259,"residue":123},{"from_index":676,"to_index":894,"sum":65541,"residue":241},{"from_index":894,"to_index":1112,"sum":72601,"residue":118},{"from_index":1112,"to_index":22,"sum":67789,"residue":530}],"minimal_cycle":[412,535,123,241,118,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[22,240],"circle_positions":653,"cycle_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":[23,241,459,677,895,1113],"clock_positions":[23,241,459,677,895,1113],"native_values":[578,417,492,75,236,161],"rotation_degrees":6.330275229357798,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,417,492,75,236,161],"beta":{"interval_sums":[75775,68143,73340,65926,72905,67708],"interval_residues":[27,231,204,626,422,449],"display_cycle":[27,231,204,626,422,449],"intervals":[{"from_index":23,"to_index":241,"sum":75775,"residue":27},{"from_index":241,"to_index":459,"sum":68143,"residue":231},{"from_index":459,"to_index":677,"sum":73340,"residue":204},{"from_index":677,"to_index":895,"sum":65926,"residue":626},{"from_index":895,"to_index":1113,"sum":72905,"residue":422},{"from_index":1113,"to_index":23,"sum":67708,"residue":449}],"minimal_cycle":[27,231,204,626,422,449],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[23,241],"circle_positions":653,"cycle_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":[24,242,460,678,896,1114],"clock_positions":[24,242,460,678,896,1114],"native_values":[5,610,605,648,43,48],"rotation_degrees":6.605504587155964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,610,605,648,43,48],"beta":{"interval_sums":[76187,68025,72810,65514,73023,68238],"interval_residues":[439,113,327,214,540,326],"display_cycle":[439,113,327,214,540,326],"intervals":[{"from_index":24,"to_index":242,"sum":76187,"residue":439},{"from_index":242,"to_index":460,"sum":68025,"residue":113},{"from_index":460,"to_index":678,"sum":72810,"residue":327},{"from_index":678,"to_index":896,"sum":65514,"residue":214},{"from_index":896,"to_index":1114,"sum":73023,"residue":540},{"from_index":1114,"to_index":24,"sum":68238,"residue":326}],"minimal_cycle":[439,113,327,214,540,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":439,"start_interval_clock_positions":[24,242],"circle_positions":653,"cycle_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":[25,243,461,679,897,1115],"clock_positions":[25,243,461,679,897,1115],"native_values":[583,374,444,70,279,209],"rotation_degrees":6.8807339449541285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,374,444,70,279,209],"beta":{"interval_sums":[76214,68256,73014,65487,72792,68034],"interval_residues":[466,344,531,187,309,122],"display_cycle":[466,344,531,187,309,122],"intervals":[{"from_index":25,"to_index":243,"sum":76214,"residue":466},{"from_index":243,"to_index":461,"sum":68256,"residue":344},{"from_index":461,"to_index":679,"sum":73014,"residue":531},{"from_index":679,"to_index":897,"sum":65487,"residue":187},{"from_index":897,"to_index":1115,"sum":72792,"residue":309},{"from_index":1115,"to_index":25,"sum":68034,"residue":122}],"minimal_cycle":[466,344,531,187,309,122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[25,243],"circle_positions":653,"cycle_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":[26,244,462,680,898,1116],"clock_positions":[26,244,462,680,898,1116],"native_values":[588,331,396,65,322,257],"rotation_degrees":7.155963302752293,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,331,396,65,322,257],"beta":{"interval_sums":[76000,68369,72688,65701,72679,68360],"interval_residues":[252,457,205,401,196,448],"display_cycle":[252,457,205,401,196,448],"intervals":[{"from_index":26,"to_index":244,"sum":76000,"residue":252},{"from_index":244,"to_index":462,"sum":68369,"residue":457},{"from_index":462,"to_index":680,"sum":72688,"residue":205},{"from_index":680,"to_index":898,"sum":65701,"residue":401},{"from_index":898,"to_index":1116,"sum":72679,"residue":196},{"from_index":1116,"to_index":26,"sum":68360,"residue":448}],"minimal_cycle":[252,457,205,401,196,448],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[26,244],"circle_positions":653,"cycle_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":[27,245,463,681,899,1117],"clock_positions":[27,245,463,681,899,1117],"native_values":[518,52,187,135,601,466],"rotation_degrees":7.431192660550459,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[518,52,187,135,601,466],"beta":{"interval_sums":[75813,68713,72566,65888,72335,68482],"interval_residues":[65,148,83,588,505,570],"display_cycle":[65,148,83,588,505,570],"intervals":[{"from_index":27,"to_index":245,"sum":75813,"residue":65},{"from_index":245,"to_index":463,"sum":68713,"residue":148},{"from_index":463,"to_index":681,"sum":72566,"residue":83},{"from_index":681,"to_index":899,"sum":65888,"residue":588},{"from_index":899,"to_index":1117,"sum":72335,"residue":505},{"from_index":1117,"to_index":27,"sum":68482,"residue":570}],"minimal_cycle":[65,148,83,588,505,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[27,245],"circle_positions":653,"cycle_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":[28,246,464,682,900,1118],"clock_positions":[28,246,464,682,900,1118],"native_values":[453,383,583,200,270,70],"rotation_degrees":7.706422018348624,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,383,583,200,270,70],"beta":{"interval_sums":[75412,68517,72118,66289,72531,68930],"interval_residues":[317,605,288,336,48,365],"display_cycle":[317,605,288,336,48,365],"intervals":[{"from_index":28,"to_index":246,"sum":75412,"residue":317},{"from_index":246,"to_index":464,"sum":68517,"residue":605},{"from_index":464,"to_index":682,"sum":72118,"residue":288},{"from_index":682,"to_index":900,"sum":66289,"residue":336},{"from_index":900,"to_index":1118,"sum":72531,"residue":48},{"from_index":1118,"to_index":28,"sum":68930,"residue":365}],"minimal_cycle":[317,605,288,336,48,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[28,246],"circle_positions":653,"cycle_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":[29,247,465,683,901,1119],"clock_positions":[29,247,465,683,901,1119],"native_values":[318,435,117,335,218,536],"rotation_degrees":7.981651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,435,117,335,218,536],"beta":{"interval_sums":[75477,68665,72201,66224,72383,68847],"interval_residues":[382,100,371,271,553,282],"display_cycle":[382,100,371,271,553,282],"intervals":[{"from_index":29,"to_index":247,"sum":75477,"residue":382},{"from_index":247,"to_index":465,"sum":68665,"residue":100},{"from_index":465,"to_index":683,"sum":72201,"residue":371},{"from_index":683,"to_index":901,"sum":66224,"residue":271},{"from_index":901,"to_index":1119,"sum":72383,"residue":553},{"from_index":1119,"to_index":29,"sum":68847,"residue":282}],"minimal_cycle":[382,100,371,271,553,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[29,247],"circle_positions":653,"cycle_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":[30,248,466,684,902,1120],"clock_positions":[30,248,466,684,902,1120],"native_values":[118,165,47,535,488,606],"rotation_degrees":8.256880733944953,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[118,165,47,535,488,606],"beta":{"interval_sums":[75794,68617,72489,65907,72431,68559],"interval_residues":[46,52,6,607,601,647],"display_cycle":[46,52,6,607,601,647],"intervals":[{"from_index":30,"to_index":248,"sum":75794,"residue":46},{"from_index":248,"to_index":466,"sum":68617,"residue":52},{"from_index":466,"to_index":684,"sum":72489,"residue":6},{"from_index":684,"to_index":902,"sum":65907,"residue":607},{"from_index":902,"to_index":1120,"sum":72431,"residue":601},{"from_index":1120,"to_index":30,"sum":68559,"residue":647}],"minimal_cycle":[46,52,6,607,601,647],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[30,248],"circle_positions":653,"cycle_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":[31,249,467,685,903,1121],"clock_positions":[31,249,467,685,903,1121],"native_values":[436,600,164,217,53,489],"rotation_degrees":8.53211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,600,164,217,53,489],"beta":{"interval_sums":[75523,68064,72860,66178,72984,68188],"interval_residues":[428,152,377,225,501,276],"display_cycle":[428,152,377,225,501,276],"intervals":[{"from_index":31,"to_index":249,"sum":75523,"residue":428},{"from_index":249,"to_index":467,"sum":68064,"residue":152},{"from_index":467,"to_index":685,"sum":72860,"residue":377},{"from_index":685,"to_index":903,"sum":66178,"residue":225},{"from_index":903,"to_index":1121,"sum":72984,"residue":501},{"from_index":1121,"to_index":31,"sum":68188,"residue":276}],"minimal_cycle":[428,152,377,225,501,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[31,249],"circle_positions":653,"cycle_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":[32,250,468,686,904,1122],"clock_positions":[32,250,468,686,904,1122],"native_values":[554,112,211,99,541,442],"rotation_degrees":8.807339449541285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[554,112,211,99,541,442],"beta":{"interval_sums":[75569,68116,72866,66132,72932,68182],"interval_residues":[474,204,383,179,449,270],"display_cycle":[474,204,383,179,449,270],"intervals":[{"from_index":32,"to_index":250,"sum":75569,"residue":474},{"from_index":250,"to_index":468,"sum":68116,"residue":204},{"from_index":468,"to_index":686,"sum":72866,"residue":383},{"from_index":686,"to_index":904,"sum":66132,"residue":179},{"from_index":904,"to_index":1122,"sum":72932,"residue":449},{"from_index":1122,"to_index":32,"sum":68182,"residue":270}],"minimal_cycle":[474,204,383,179,449,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[32,250],"circle_positions":653,"cycle_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":[33,251,469,687,905,1123],"clock_positions":[33,251,469,687,905,1123],"native_values":[337,59,375,316,594,278],"rotation_degrees":9.082568807339449,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,59,375,316,594,278],"beta":{"interval_sums":[75344,68268,72590,66357,72780,68458],"interval_residues":[249,356,107,404,297,546],"display_cycle":[249,356,107,404,297,546],"intervals":[{"from_index":33,"to_index":251,"sum":75344,"residue":249},{"from_index":251,"to_index":469,"sum":68268,"residue":356},{"from_index":469,"to_index":687,"sum":72590,"residue":107},{"from_index":687,"to_index":905,"sum":66357,"residue":404},{"from_index":905,"to_index":1123,"sum":72780,"residue":297},{"from_index":1123,"to_index":33,"sum":68458,"residue":546}],"minimal_cycle":[249,356,107,404,297,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[33,251],"circle_positions":653,"cycle_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":[34,252,470,688,906,1124],"clock_positions":[34,252,470,688,906,1124],"native_values":[238,171,586,415,482,67],"rotation_degrees":9.357798165137615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,171,586,415,482,67],"beta":{"interval_sums":[75165,68472,72320,66536,72576,68728],"interval_residues":[70,560,490,583,93,163],"display_cycle":[70,560,490,583,93,163],"intervals":[{"from_index":34,"to_index":252,"sum":75165,"residue":70},{"from_index":252,"to_index":470,"sum":68472,"residue":560},{"from_index":470,"to_index":688,"sum":72320,"residue":490},{"from_index":688,"to_index":906,"sum":66536,"residue":583},{"from_index":906,"to_index":1124,"sum":72576,"residue":93},{"from_index":1124,"to_index":34,"sum":68728,"residue":163}],"minimal_cycle":[70,560,490,583,93,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[34,252],"circle_positions":653,"cycle_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":[35,253,471,689,907,1125],"clock_positions":[35,253,471,689,907,1125],"native_values":[575,230,308,78,423,345],"rotation_degrees":9.63302752293578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[575,230,308,78,423,345],"beta":{"interval_sums":[74761,68828,72427,66940,72220,68621],"interval_residues":[319,263,597,334,390,56],"display_cycle":[319,263,597,334,390,56],"intervals":[{"from_index":35,"to_index":253,"sum":74761,"residue":319},{"from_index":253,"to_index":471,"sum":68828,"residue":263},{"from_index":471,"to_index":689,"sum":72427,"residue":597},{"from_index":689,"to_index":907,"sum":66940,"residue":334},{"from_index":907,"to_index":1125,"sum":72220,"residue":390},{"from_index":1125,"to_index":35,"sum":68621,"residue":56}],"minimal_cycle":[319,263,597,334,390,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[35,253],"circle_positions":653,"cycle_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":[36,254,472,690,908,1126],"clock_positions":[36,254,472,690,908,1126],"native_values":[160,401,241,493,252,412],"rotation_degrees":9.908256880733944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[160,401,241,493,252,412],"beta":{"interval_sums":[74831,68735,72264,66870,72313,68784],"interval_residues":[389,170,434,264,483,219],"display_cycle":[389,170,434,264,483,219],"intervals":[{"from_index":36,"to_index":254,"sum":74831,"residue":389},{"from_index":254,"to_index":472,"sum":68735,"residue":170},{"from_index":472,"to_index":690,"sum":72264,"residue":434},{"from_index":690,"to_index":908,"sum":66870,"residue":264},{"from_index":908,"to_index":1126,"sum":72313,"residue":483},{"from_index":1126,"to_index":36,"sum":68784,"residue":219}],"minimal_cycle":[389,170,434,264,483,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[36,254],"circle_positions":653,"cycle_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":[37,255,473,691,909,1127],"clock_positions":[37,255,473,691,909,1127],"native_values":[82,631,549,571,22,104],"rotation_degrees":10.18348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[82,631,549,571,22,104],"beta":{"interval_sums":[75150,68345,72208,66551,72703,68840],"interval_residues":[55,433,378,598,220,275],"display_cycle":[55,433,378,598,220,275],"intervals":[{"from_index":37,"to_index":255,"sum":75150,"residue":55},{"from_index":255,"to_index":473,"sum":68345,"residue":433},{"from_index":473,"to_index":691,"sum":72208,"residue":378},{"from_index":691,"to_index":909,"sum":66551,"residue":598},{"from_index":909,"to_index":1127,"sum":72703,"residue":220},{"from_index":1127,"to_index":37,"sum":68840,"residue":275}],"minimal_cycle":[55,433,378,598,220,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[37,255],"circle_positions":653,"cycle_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":[38,256,474,692,910,1128],"clock_positions":[38,256,474,692,910,1128],"native_values":[242,379,137,411,274,516],"rotation_degrees":10.458715596330276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[242,379,137,411,274,516],"beta":{"interval_sums":[75539,68515,72642,66162,72533,68406],"interval_residues":[444,603,159,209,50,494],"display_cycle":[444,603,159,209,50,494],"intervals":[{"from_index":38,"to_index":256,"sum":75539,"residue":444},{"from_index":256,"to_index":474,"sum":68515,"residue":603},{"from_index":474,"to_index":692,"sum":72642,"residue":159},{"from_index":692,"to_index":910,"sum":66162,"residue":209},{"from_index":910,"to_index":1128,"sum":72533,"residue":50},{"from_index":1128,"to_index":38,"sum":68406,"residue":494}],"minimal_cycle":[444,603,159,209,50,494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[38,256],"circle_positions":653,"cycle_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":[39,257,475,693,911,1129],"clock_positions":[39,257,475,693,911,1129],"native_values":[324,357,33,329,296,620],"rotation_degrees":10.73394495412844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,357,33,329,296,620],"beta":{"interval_sums":[75594,68295,73020,66107,72753,68028],"interval_residues":[499,383,537,154,270,116],"display_cycle":[499,383,537,154,270,116],"intervals":[{"from_index":39,"to_index":257,"sum":75594,"residue":499},{"from_index":257,"to_index":475,"sum":68295,"residue":383},{"from_index":475,"to_index":693,"sum":73020,"residue":537},{"from_index":693,"to_index":911,"sum":66107,"residue":154},{"from_index":911,"to_index":1129,"sum":72753,"residue":270},{"from_index":1129,"to_index":39,"sum":68028,"residue":116}],"minimal_cycle":[499,383,537,154,270,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":499,"start_interval_clock_positions":[39,257],"circle_positions":653,"cycle_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":[40,258,476,694,912,1130],"clock_positions":[40,258,476,694,912,1130],"native_values":[566,83,170,87,570,483],"rotation_degrees":11.009174311926605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,83,170,87,570,483],"beta":{"interval_sums":[75385,68245,73179,66316,72803,67869],"interval_residues":[290,333,43,363,320,610],"display_cycle":[290,333,43,363,320,610],"intervals":[{"from_index":40,"to_index":258,"sum":75385,"residue":290},{"from_index":258,"to_index":476,"sum":68245,"residue":333},{"from_index":476,"to_index":694,"sum":73179,"residue":43},{"from_index":694,"to_index":912,"sum":66316,"residue":363},{"from_index":912,"to_index":1130,"sum":72803,"residue":320},{"from_index":1130,"to_index":40,"sum":67869,"residue":610}],"minimal_cycle":[290,333,43,363,320,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[40,258],"circle_positions":653,"cycle_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":[41,259,477,695,913,1131],"clock_positions":[41,259,477,695,913,1131],"native_values":[237,440,203,416,213,450],"rotation_degrees":11.284403669724771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,440,203,416,213,450],"beta":{"interval_sums":[75231,67975,73063,66470,73073,67985],"interval_residues":[136,63,580,517,590,73],"display_cycle":[136,63,580,517,590,73],"intervals":[{"from_index":41,"to_index":259,"sum":75231,"residue":136},{"from_index":259,"to_index":477,"sum":67975,"residue":63},{"from_index":477,"to_index":695,"sum":73063,"residue":580},{"from_index":695,"to_index":913,"sum":66470,"residue":517},{"from_index":913,"to_index":1131,"sum":73073,"residue":590},{"from_index":1131,"to_index":41,"sum":67985,"residue":73}],"minimal_cycle":[136,63,580,517,590,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":136,"start_interval_clock_positions":[41,259],"circle_positions":653,"cycle_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":[42,260,478,696,914,1132],"clock_positions":[42,260,478,696,914,1132],"native_values":[150,523,373,503,130,280],"rotation_degrees":11.559633027522937,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,523,373,503,130,280],"beta":{"interval_sums":[75521,67655,73106,66180,73393,67942],"interval_residues":[426,396,623,227,257,30],"display_cycle":[426,396,623,227,257,30],"intervals":[{"from_index":42,"to_index":260,"sum":75521,"residue":426},{"from_index":260,"to_index":478,"sum":67655,"residue":396},{"from_index":478,"to_index":696,"sum":73106,"residue":623},{"from_index":696,"to_index":914,"sum":66180,"residue":227},{"from_index":914,"to_index":1132,"sum":73393,"residue":257},{"from_index":1132,"to_index":42,"sum":67942,"residue":30}],"minimal_cycle":[426,396,623,227,257,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[42,260],"circle_positions":653,"cycle_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":[43,261,479,697,915,1133],"clock_positions":[43,261,479,697,915,1133],"native_values":[387,310,576,266,343,77],"rotation_degrees":11.8348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,310,576,266,343,77],"beta":{"interval_sums":[75657,67718,73033,66044,73330,68015],"interval_residues":[562,459,550,91,194,103],"display_cycle":[562,459,550,91,194,103],"intervals":[{"from_index":43,"to_index":261,"sum":75657,"residue":562},{"from_index":261,"to_index":479,"sum":67718,"residue":459},{"from_index":479,"to_index":697,"sum":73033,"residue":550},{"from_index":697,"to_index":915,"sum":66044,"residue":91},{"from_index":915,"to_index":1133,"sum":73330,"residue":194},{"from_index":1133,"to_index":43,"sum":68015,"residue":103}],"minimal_cycle":[562,459,550,91,194,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[43,261],"circle_positions":653,"cycle_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":[44,262,480,698,916,1134],"clock_positions":[44,262,480,698,916,1134],"native_values":[537,180,296,116,473,357],"rotation_degrees":12.110091743119266,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,180,296,116,473,357],"beta":{"interval_sums":[75430,68114,73003,66271,72934,68045],"interval_residues":[335,202,520,318,451,133],"display_cycle":[335,202,520,318,451,133],"intervals":[{"from_index":44,"to_index":262,"sum":75430,"residue":335},{"from_index":262,"to_index":480,"sum":68114,"residue":202},{"from_index":480,"to_index":698,"sum":73003,"residue":520},{"from_index":698,"to_index":916,"sum":66271,"residue":318},{"from_index":916,"to_index":1134,"sum":72934,"residue":451},{"from_index":1134,"to_index":44,"sum":68045,"residue":133}],"minimal_cycle":[335,202,520,318,451,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[44,262],"circle_positions":653,"cycle_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":[45,263,481,699,917,1135],"clock_positions":[45,263,481,699,917,1135],"native_values":[271,490,219,382,163,434],"rotation_degrees":12.385321100917432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,490,219,382,163,434],"beta":{"interval_sums":[75339,67920,72900,66362,73128,68148],"interval_residues":[244,8,417,409,645,236],"display_cycle":[244,8,417,409,645,236],"intervals":[{"from_index":45,"to_index":263,"sum":75339,"residue":244},{"from_index":263,"to_index":481,"sum":67920,"residue":8},{"from_index":481,"to_index":699,"sum":72900,"residue":417},{"from_index":699,"to_index":917,"sum":66362,"residue":409},{"from_index":917,"to_index":1135,"sum":73128,"residue":645},{"from_index":1135,"to_index":45,"sum":68148,"residue":236}],"minimal_cycle":[244,8,417,409,645,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[45,263],"circle_positions":653,"cycle_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":[46,264,482,700,918,1136],"clock_positions":[46,264,482,700,918,1136],"native_values":[155,17,515,498,636,138],"rotation_degrees":12.660550458715596,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,17,515,498,636,138],"beta":{"interval_sums":[75674,68122,72767,66027,72926,68281],"interval_residues":[579,210,284,74,443,369],"display_cycle":[579,210,284,74,443,369],"intervals":[{"from_index":46,"to_index":264,"sum":75674,"residue":579},{"from_index":264,"to_index":482,"sum":68122,"residue":210},{"from_index":482,"to_index":700,"sum":72767,"residue":284},{"from_index":700,"to_index":918,"sum":66027,"residue":74},{"from_index":918,"to_index":1136,"sum":72926,"residue":443},{"from_index":1136,"to_index":46,"sum":68281,"residue":369}],"minimal_cycle":[579,210,284,74,443,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":579,"start_interval_clock_positions":[46,264],"circle_positions":653,"cycle_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":[47,265,483,701,919,1137],"clock_positions":[47,265,483,701,919,1137],"native_values":[426,507,81,227,146,572],"rotation_degrees":12.935779816513762,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,507,81,227,146,572],"beta":{"interval_sums":[75265,68130,73184,66436,72918,67864],"interval_residues":[170,218,48,483,435,605],"display_cycle":[170,218,48,483,435,605],"intervals":[{"from_index":47,"to_index":265,"sum":75265,"residue":170},{"from_index":265,"to_index":483,"sum":68130,"residue":218},{"from_index":483,"to_index":701,"sum":73184,"residue":48},{"from_index":701,"to_index":919,"sum":66436,"residue":483},{"from_index":919,"to_index":1137,"sum":72918,"residue":435},{"from_index":1137,"to_index":47,"sum":67864,"residue":605}],"minimal_cycle":[170,218,48,483,435,605],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[47,265],"circle_positions":653,"cycle_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":[48,266,484,702,920,1138],"clock_positions":[48,266,484,702,920,1138],"native_values":[581,524,596,72,129,57],"rotation_degrees":13.211009174311927,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,524,596,72,129,57],"beta":{"interval_sums":[75191,67687,72815,66510,73361,68233],"interval_residues":[96,428,332,557,225,321],"display_cycle":[96,428,332,557,225,321],"intervals":[{"from_index":48,"to_index":266,"sum":75191,"residue":96},{"from_index":266,"to_index":484,"sum":67687,"residue":428},{"from_index":484,"to_index":702,"sum":72815,"residue":332},{"from_index":702,"to_index":920,"sum":66510,"residue":557},{"from_index":920,"to_index":1138,"sum":73361,"residue":225},{"from_index":1138,"to_index":48,"sum":68233,"residue":321}],"minimal_cycle":[96,428,332,557,225,321],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[48,266],"circle_positions":653,"cycle_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":[49,267,485,703,921,1139],"clock_positions":[49,267,485,703,921,1139],"native_values":[354,378,24,299,275,629],"rotation_degrees":13.486238532110091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,378,24,299,275,629],"beta":{"interval_sums":[75361,67905,72863,66340,73143,68185],"interval_residues":[266,646,380,387,7,273],"display_cycle":[266,646,380,387,7,273],"intervals":[{"from_index":49,"to_index":267,"sum":75361,"residue":266},{"from_index":267,"to_index":485,"sum":67905,"residue":646},{"from_index":485,"to_index":703,"sum":72863,"residue":380},{"from_index":703,"to_index":921,"sum":66340,"residue":387},{"from_index":921,"to_index":1139,"sum":73143,"residue":7},{"from_index":1139,"to_index":49,"sum":68185,"residue":273}],"minimal_cycle":[266,646,380,387,7,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[49,267],"circle_positions":653,"cycle_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":[50,268,486,704,922,1140],"clock_positions":[50,268,486,704,922,1140],"native_values":[282,249,620,371,404,33],"rotation_degrees":13.761467889908257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,249,620,371,404,33],"beta":{"interval_sums":[75457,67680,72542,66244,73368,68506],"interval_residues":[362,421,59,291,232,594],"display_cycle":[362,421,59,291,232,594],"intervals":[{"from_index":50,"to_index":268,"sum":75457,"residue":362},{"from_index":268,"to_index":486,"sum":67680,"residue":421},{"from_index":486,"to_index":704,"sum":72542,"residue":59},{"from_index":704,"to_index":922,"sum":66244,"residue":291},{"from_index":922,"to_index":1140,"sum":73368,"residue":232},{"from_index":1140,"to_index":50,"sum":68506,"residue":594}],"minimal_cycle":[362,421,59,291,232,594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[50,268],"circle_positions":653,"cycle_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":[51,269,487,705,923,1141],"clock_positions":[51,269,487,705,923,1141],"native_values":[636,627,644,17,26,9],"rotation_degrees":14.036697247706423,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[636,627,644,17,26,9],"beta":{"interval_sums":[75070,67673,72269,66631,73375,68779],"interval_residues":[628,414,439,25,239,214],"display_cycle":[628,414,439,25,239,214],"intervals":[{"from_index":51,"to_index":269,"sum":75070,"residue":628},{"from_index":269,"to_index":487,"sum":67673,"residue":414},{"from_index":487,"to_index":705,"sum":72269,"residue":439},{"from_index":705,"to_index":923,"sum":66631,"residue":25},{"from_index":923,"to_index":1141,"sum":73375,"residue":239},{"from_index":1141,"to_index":51,"sum":68779,"residue":214}],"minimal_cycle":[628,414,439,25,239,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[51,269],"circle_positions":653,"cycle_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":[52,270,488,706,924,1142],"clock_positions":[52,270,488,706,924,1142],"native_values":[265,223,611,388,430,42],"rotation_degrees":14.311926605504587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,223,611,388,430,42],"beta":{"interval_sums":[75432,68094,71675,66269,72954,69373],"interval_residues":[337,182,498,316,471,155],"display_cycle":[337,182,498,316,471,155],"intervals":[{"from_index":52,"to_index":270,"sum":75432,"residue":337},{"from_index":270,"to_index":488,"sum":68094,"residue":182},{"from_index":488,"to_index":706,"sum":71675,"residue":498},{"from_index":706,"to_index":924,"sum":66269,"residue":316},{"from_index":924,"to_index":1142,"sum":72954,"residue":471},{"from_index":1142,"to_index":52,"sum":69373,"residue":155}],"minimal_cycle":[337,182,498,316,471,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[52,270],"circle_positions":653,"cycle_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":[53,271,489,707,925,1143],"clock_positions":[53,271,489,707,925,1143],"native_values":[248,197,602,405,456,51],"rotation_degrees":14.587155963302752,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,197,602,405,456,51],"beta":{"interval_sums":[75407,68508,71461,66294,72540,69587],"interval_residues":[312,596,284,341,57,369],"display_cycle":[312,596,284,341,57,369],"intervals":[{"from_index":53,"to_index":271,"sum":75407,"residue":312},{"from_index":271,"to_index":489,"sum":68508,"residue":596},{"from_index":489,"to_index":707,"sum":71461,"residue":284},{"from_index":707,"to_index":925,"sum":66294,"residue":341},{"from_index":925,"to_index":1143,"sum":72540,"residue":57},{"from_index":1143,"to_index":53,"sum":69587,"residue":369}],"minimal_cycle":[312,596,284,341,57,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[53,271],"circle_positions":653,"cycle_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":[54,272,490,708,926,1144],"clock_positions":[54,272,490,708,926,1144],"native_values":[513,420,560,140,233,93],"rotation_degrees":14.862385321100918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,420,560,140,233,93],"beta":{"interval_sums":[75091,68690,71306,66610,72358,69742],"interval_residues":[649,125,129,4,528,524],"display_cycle":[649,125,129,4,528,524],"intervals":[{"from_index":54,"to_index":272,"sum":75091,"residue":649},{"from_index":272,"to_index":490,"sum":68690,"residue":125},{"from_index":490,"to_index":708,"sum":71306,"residue":129},{"from_index":708,"to_index":926,"sum":66610,"residue":4},{"from_index":926,"to_index":1144,"sum":72358,"residue":528},{"from_index":1144,"to_index":54,"sum":69742,"residue":524}],"minimal_cycle":[649,125,129,4,528,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":649,"start_interval_clock_positions":[54,272],"circle_positions":653,"cycle_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":[55,273,491,709,927,1145],"clock_positions":[55,273,491,709,927,1145],"native_values":[108,617,509,545,36,144],"rotation_degrees":15.137614678899082,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,617,509,545,36,144],"beta":{"interval_sums":[75403,68633,70937,66298,72415,70111],"interval_residues":[308,68,413,345,585,240],"display_cycle":[308,68,413,345,585,240],"intervals":[{"from_index":55,"to_index":273,"sum":75403,"residue":308},{"from_index":273,"to_index":491,"sum":68633,"residue":68},{"from_index":491,"to_index":709,"sum":70937,"residue":413},{"from_index":709,"to_index":927,"sum":66298,"residue":345},{"from_index":927,"to_index":1145,"sum":72415,"residue":585},{"from_index":1145,"to_index":55,"sum":70111,"residue":240}],"minimal_cycle":[308,68,413,345,585,240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[55,273],"circle_positions":653,"cycle_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":[56,274,492,710,928,1146],"clock_positions":[56,274,492,710,928,1146],"native_values":[621,384,416,32,269,237],"rotation_degrees":15.412844036697248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,384,416,32,269,237],"beta":{"interval_sums":[75399,68758,71066,66302,72290,69982],"interval_residues":[304,193,542,349,460,111],"display_cycle":[304,193,542,349,460,111],"intervals":[{"from_index":56,"to_index":274,"sum":75399,"residue":304},{"from_index":274,"to_index":492,"sum":68758,"residue":193},{"from_index":492,"to_index":710,"sum":71066,"residue":542},{"from_index":710,"to_index":928,"sum":66302,"residue":349},{"from_index":928,"to_index":1146,"sum":72290,"residue":460},{"from_index":1146,"to_index":56,"sum":69982,"residue":111}],"minimal_cycle":[304,193,542,349,460,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[56,274],"circle_positions":653,"cycle_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":[57,275,493,711,929,1147],"clock_positions":[57,275,493,711,929,1147],"native_values":[76,348,272,577,305,381],"rotation_degrees":15.688073394495413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,348,272,577,305,381],"beta":{"interval_sums":[75707,68826,70826,65994,72222,70222],"interval_residues":[612,261,302,41,392,351],"display_cycle":[612,261,302,41,392,351],"intervals":[{"from_index":57,"to_index":275,"sum":75707,"residue":612},{"from_index":275,"to_index":493,"sum":68826,"residue":261},{"from_index":493,"to_index":711,"sum":70826,"residue":302},{"from_index":711,"to_index":929,"sum":65994,"residue":41},{"from_index":929,"to_index":1147,"sum":72222,"residue":392},{"from_index":1147,"to_index":57,"sum":70222,"residue":351}],"minimal_cycle":[612,261,302,41,392,351],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[57,275],"circle_positions":653,"cycle_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":[58,276,494,712,930,1148],"clock_positions":[58,276,494,712,930,1148],"native_values":[44,79,35,609,574,618],"rotation_degrees":15.963302752293577,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,79,35,609,574,618],"beta":{"interval_sums":[76011,69019,71368,65690,72029,69680],"interval_residues":[263,454,191,390,199,462],"display_cycle":[263,454,191,390,199,462],"intervals":[{"from_index":58,"to_index":276,"sum":76011,"residue":263},{"from_index":276,"to_index":494,"sum":69019,"residue":454},{"from_index":494,"to_index":712,"sum":71368,"residue":191},{"from_index":712,"to_index":930,"sum":65690,"residue":390},{"from_index":930,"to_index":1148,"sum":72029,"residue":199},{"from_index":1148,"to_index":58,"sum":69680,"residue":462}],"minimal_cycle":[263,454,191,390,199,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[58,276],"circle_positions":653,"cycle_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":[59,277,495,713,931,1149],"clock_positions":[59,277,495,713,931,1149],"native_values":[120,427,307,533,226,346],"rotation_degrees":16.238532110091743,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,427,307,533,226,346],"beta":{"interval_sums":[75970,68627,71670,65731,72421,69378],"interval_residues":[222,62,493,431,591,160],"display_cycle":[222,62,493,431,591,160],"intervals":[{"from_index":59,"to_index":277,"sum":75970,"residue":222},{"from_index":277,"to_index":495,"sum":68627,"residue":62},{"from_index":495,"to_index":713,"sum":71670,"residue":493},{"from_index":713,"to_index":931,"sum":65731,"residue":431},{"from_index":931,"to_index":1149,"sum":72421,"residue":591},{"from_index":1149,"to_index":59,"sum":69378,"residue":160}],"minimal_cycle":[222,62,493,431,591,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[59,277],"circle_positions":653,"cycle_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":[60,278,496,714,932,1150],"clock_positions":[60,278,496,714,932,1150],"native_values":[164,506,342,489,147,311],"rotation_degrees":16.513761467889907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,506,342,489,147,311],"beta":{"interval_sums":[76233,68428,71861,65468,72620,69187],"interval_residues":[485,516,31,168,137,622],"display_cycle":[485,516,31,168,137,622],"intervals":[{"from_index":60,"to_index":278,"sum":76233,"residue":485},{"from_index":278,"to_index":496,"sum":68428,"residue":516},{"from_index":496,"to_index":714,"sum":71861,"residue":31},{"from_index":714,"to_index":932,"sum":65468,"residue":168},{"from_index":932,"to_index":1150,"sum":72620,"residue":137},{"from_index":1150,"to_index":60,"sum":69187,"residue":622}],"minimal_cycle":[485,516,31,168,137,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[60,278],"circle_positions":653,"cycle_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":[61,279,497,715,933,1151],"clock_positions":[61,279,497,715,933,1151],"native_values":[284,280,649,369,373,4],"rotation_degrees":16.788990825688074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,280,649,369,373,4],"beta":{"interval_sums":[76455,68490,71701,65246,72558,69347],"interval_residues":[54,578,524,599,75,129],"display_cycle":[54,578,524,599,75,129],"intervals":[{"from_index":61,"to_index":279,"sum":76455,"residue":54},{"from_index":279,"to_index":497,"sum":68490,"residue":578},{"from_index":497,"to_index":715,"sum":71701,"residue":524},{"from_index":715,"to_index":933,"sum":65246,"residue":599},{"from_index":933,"to_index":1151,"sum":72558,"residue":75},{"from_index":1151,"to_index":61,"sum":69347,"residue":129}],"minimal_cycle":[54,578,524,599,75,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[61,279],"circle_positions":653,"cycle_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":[62,280,498,716,934,1152],"clock_positions":[62,280,498,716,934,1152],"native_values":[448,133,338,205,520,315],"rotation_degrees":17.06422018348624,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,133,338,205,520,315],"beta":{"interval_sums":[76287,69006,71732,65414,72042,69316],"interval_residues":[539,441,555,114,212,98],"display_cycle":[539,441,555,114,212,98],"intervals":[{"from_index":62,"to_index":280,"sum":76287,"residue":539},{"from_index":280,"to_index":498,"sum":69006,"residue":441},{"from_index":498,"to_index":716,"sum":71732,"residue":555},{"from_index":716,"to_index":934,"sum":65414,"residue":114},{"from_index":934,"to_index":1152,"sum":72042,"residue":212},{"from_index":1152,"to_index":62,"sum":69316,"residue":98}],"minimal_cycle":[539,441,555,114,212,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":539,"start_interval_clock_positions":[62,280],"circle_positions":653,"cycle_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":[63,281,499,717,935,1153],"clock_positions":[63,281,499,717,935,1153],"native_values":[79,413,334,574,240,319],"rotation_degrees":17.339449541284402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,413,334,574,240,319],"beta":{"interval_sums":[76341,68931,71603,65360,72117,69445],"interval_residues":[593,366,426,60,287,227],"display_cycle":[593,366,426,60,287,227],"intervals":[{"from_index":63,"to_index":281,"sum":76341,"residue":593},{"from_index":281,"to_index":499,"sum":68931,"residue":366},{"from_index":499,"to_index":717,"sum":71603,"residue":426},{"from_index":717,"to_index":935,"sum":65360,"residue":60},{"from_index":935,"to_index":1153,"sum":72117,"residue":287},{"from_index":1153,"to_index":63,"sum":69445,"residue":227}],"minimal_cycle":[593,366,426,60,287,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[63,281],"circle_positions":653,"cycle_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":[64,282,500,718,936,1154],"clock_positions":[64,282,500,718,936,1154],"native_values":[527,546,19,126,107,634],"rotation_degrees":17.61467889908257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,546,19,126,107,634],"beta":{"interval_sums":[76227,68719,72158,65474,72329,68890],"interval_residues":[479,154,328,174,499,325],"display_cycle":[479,154,328,174,499,325],"intervals":[{"from_index":64,"to_index":282,"sum":76227,"residue":479},{"from_index":282,"to_index":500,"sum":68719,"residue":154},{"from_index":500,"to_index":718,"sum":72158,"residue":328},{"from_index":718,"to_index":936,"sum":65474,"residue":174},{"from_index":936,"to_index":1154,"sum":72329,"residue":499},{"from_index":1154,"to_index":64,"sum":68890,"residue":325}],"minimal_cycle":[479,154,328,174,499,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":479,"start_interval_clock_positions":[64,282],"circle_positions":653,"cycle_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":[65,283,501,719,937,1155],"clock_positions":[65,283,501,719,937,1155],"native_values":[606,306,353,47,347,300],"rotation_degrees":17.889908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[606,306,353,47,347,300],"beta":{"interval_sums":[76167,68432,71931,65534,72616,69117],"interval_residues":[419,520,101,234,133,552],"display_cycle":[419,520,101,234,133,552],"intervals":[{"from_index":65,"to_index":283,"sum":76167,"residue":419},{"from_index":283,"to_index":501,"sum":68432,"residue":520},{"from_index":501,"to_index":719,"sum":71931,"residue":101},{"from_index":719,"to_index":937,"sum":65534,"residue":234},{"from_index":937,"to_index":1155,"sum":72616,"residue":133},{"from_index":1155,"to_index":65,"sum":69117,"residue":552}],"minimal_cycle":[419,520,101,234,133,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[65,283],"circle_positions":653,"cycle_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":[66,284,502,720,938,1156],"clock_positions":[66,284,502,720,938,1156],"native_values":[480,199,372,173,454,281],"rotation_degrees":18.165137614678898,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,199,372,173,454,281],"beta":{"interval_sums":[75993,68586,71606,65708,72462,69442],"interval_residues":[245,21,429,408,632,224],"display_cycle":[245,21,429,408,632,224],"intervals":[{"from_index":66,"to_index":284,"sum":75993,"residue":245},{"from_index":284,"to_index":502,"sum":68586,"residue":21},{"from_index":502,"to_index":720,"sum":71606,"residue":429},{"from_index":720,"to_index":938,"sum":65708,"residue":408},{"from_index":938,"to_index":1156,"sum":72462,"residue":632},{"from_index":1156,"to_index":66,"sum":69442,"residue":224}],"minimal_cycle":[245,21,429,408,632,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[66,284],"circle_positions":653,"cycle_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":[67,285,503,721,939,1157],"clock_positions":[67,285,503,721,939,1157],"native_values":[433,505,72,220,148,581],"rotation_degrees":18.440366972477065,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,505,72,220,148,581],"beta":{"interval_sums":[75759,68453,71707,65942,72595,69341],"interval_residues":[11,541,530,642,112,123],"display_cycle":[11,541,530,642,112,123],"intervals":[{"from_index":67,"to_index":285,"sum":75759,"residue":11},{"from_index":285,"to_index":503,"sum":68453,"residue":541},{"from_index":503,"to_index":721,"sum":71707,"residue":530},{"from_index":721,"to_index":939,"sum":65942,"residue":642},{"from_index":939,"to_index":1157,"sum":72595,"residue":112},{"from_index":1157,"to_index":67,"sum":69341,"residue":123}],"minimal_cycle":[11,541,530,642,112,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[67,285],"circle_positions":653,"cycle_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":[68,286,504,722,940,1158],"clock_positions":[68,286,504,722,940,1158],"native_values":[260,51,444,393,602,209],"rotation_degrees":18.71559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,51,444,393,602,209],"beta":{"interval_sums":[76004,68474,71483,65697,72574,69565],"interval_residues":[256,562,306,397,91,347],"display_cycle":[256,562,306,397,91,347],"intervals":[{"from_index":68,"to_index":286,"sum":76004,"residue":256},{"from_index":286,"to_index":504,"sum":68474,"residue":562},{"from_index":504,"to_index":722,"sum":71483,"residue":306},{"from_index":722,"to_index":940,"sum":65697,"residue":397},{"from_index":940,"to_index":1158,"sum":72574,"residue":91},{"from_index":1158,"to_index":68,"sum":69565,"residue":347}],"minimal_cycle":[256,562,306,397,91,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[68,286],"circle_positions":653,"cycle_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":[69,287,505,723,941,1159],"clock_positions":[69,287,505,723,941,1159],"native_values":[40,556,516,613,97,137],"rotation_degrees":18.990825688073393,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,556,516,613,97,137],"beta":{"interval_sums":[76015,68362,71360,65686,72686,69688],"interval_residues":[267,450,183,386,203,470],"display_cycle":[267,450,183,386,203,470],"intervals":[{"from_index":69,"to_index":287,"sum":76015,"residue":267},{"from_index":287,"to_index":505,"sum":68362,"residue":450},{"from_index":505,"to_index":723,"sum":71360,"residue":183},{"from_index":723,"to_index":941,"sum":65686,"residue":386},{"from_index":941,"to_index":1159,"sum":72686,"residue":203},{"from_index":1159,"to_index":69,"sum":69688,"residue":470}],"minimal_cycle":[267,450,183,386,203,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":267,"start_interval_clock_positions":[69,287],"circle_positions":653,"cycle_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":[70,288,506,724,942,1160],"clock_positions":[70,288,506,724,942,1160],"native_values":[300,607,307,353,46,346],"rotation_degrees":19.26605504587156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,607,307,353,46,346],"beta":{"interval_sums":[76271,68271,71666,65430,72777,69382],"interval_residues":[523,359,489,130,294,164],"display_cycle":[523,359,489,130,294,164],"intervals":[{"from_index":70,"to_index":288,"sum":76271,"residue":523},{"from_index":288,"to_index":506,"sum":68271,"residue":359},{"from_index":506,"to_index":724,"sum":71666,"residue":489},{"from_index":724,"to_index":942,"sum":65430,"residue":130},{"from_index":942,"to_index":1160,"sum":72777,"residue":294},{"from_index":1160,"to_index":70,"sum":69382,"residue":164}],"minimal_cycle":[523,359,489,130,294,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":523,"start_interval_clock_positions":[70,288],"circle_positions":653,"cycle_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":[71,289,507,725,943,1161],"clock_positions":[71,289,507,725,943,1161],"native_values":[340,510,170,313,143,483],"rotation_degrees":19.541284403669724,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,510,170,313,143,483],"beta":{"interval_sums":[76538,68068,71849,65163,72980,69199],"interval_residues":[137,156,19,516,497,634],"display_cycle":[137,156,19,516,497,634],"intervals":[{"from_index":71,"to_index":289,"sum":76538,"residue":137},{"from_index":289,"to_index":507,"sum":68068,"residue":156},{"from_index":507,"to_index":725,"sum":71849,"residue":19},{"from_index":725,"to_index":943,"sum":65163,"residue":516},{"from_index":943,"to_index":1161,"sum":72980,"residue":497},{"from_index":1161,"to_index":71,"sum":69199,"residue":634}],"minimal_cycle":[137,156,19,516,497,634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[71,289],"circle_positions":653,"cycle_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":[72,290,508,726,944,1162],"clock_positions":[72,290,508,726,944,1162],"native_values":[640,464,477,13,189,176],"rotation_degrees":19.81651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,464,477,13,189,176],"beta":{"interval_sums":[76408,67774,71685,65293,73274,69363],"interval_residues":[7,515,508,646,138,145],"display_cycle":[7,515,508,646,138,145],"intervals":[{"from_index":72,"to_index":290,"sum":76408,"residue":7},{"from_index":290,"to_index":508,"sum":67774,"residue":515},{"from_index":508,"to_index":726,"sum":71685,"residue":508},{"from_index":726,"to_index":944,"sum":65293,"residue":646},{"from_index":944,"to_index":1162,"sum":73274,"residue":138},{"from_index":1162,"to_index":72,"sum":69363,"residue":145}],"minimal_cycle":[7,515,508,646,138,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":7,"start_interval_clock_positions":[72,290],"circle_positions":653,"cycle_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":[73,291,509,727,945,1163],"clock_positions":[73,291,509,727,945,1163],"native_values":[327,321,647,326,332,6],"rotation_degrees":20.091743119266056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,321,647,326,332,6],"beta":{"interval_sums":[76545,67930,71051,65156,73118,69997],"interval_residues":[144,18,527,509,635,126],"display_cycle":[144,18,527,509,635,126],"intervals":[{"from_index":73,"to_index":291,"sum":76545,"residue":144},{"from_index":291,"to_index":509,"sum":67930,"residue":18},{"from_index":509,"to_index":727,"sum":71051,"residue":527},{"from_index":727,"to_index":945,"sum":65156,"residue":509},{"from_index":945,"to_index":1163,"sum":73118,"residue":635},{"from_index":1163,"to_index":73,"sum":69997,"residue":126}],"minimal_cycle":[144,18,527,509,635,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[73,291],"circle_positions":653,"cycle_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":[74,292,510,728,946,1164],"clock_positions":[74,292,510,728,946,1164],"native_values":[314,132,471,339,521,182],"rotation_degrees":20.36697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,132,471,339,521,182],"beta":{"interval_sums":[76552,68445,70906,65149,72603,70142],"interval_residues":[151,533,382,502,120,271],"display_cycle":[151,533,382,502,120,271],"intervals":[{"from_index":74,"to_index":292,"sum":76552,"residue":151},{"from_index":292,"to_index":510,"sum":68445,"residue":533},{"from_index":510,"to_index":728,"sum":70906,"residue":382},{"from_index":728,"to_index":946,"sum":65149,"residue":502},{"from_index":946,"to_index":1164,"sum":72603,"residue":120},{"from_index":1164,"to_index":74,"sum":70142,"residue":271}],"minimal_cycle":[151,533,382,502,120,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[74,292],"circle_positions":653,"cycle_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":[75,293,511,729,947,1165],"clock_positions":[75,293,511,729,947,1165],"native_values":[641,453,465,12,200,188],"rotation_degrees":20.642201834862384,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,453,465,12,200,188],"beta":{"interval_sums":[76043,68463,70780,65658,72585,70268],"interval_residues":[295,551,256,358,102,397],"display_cycle":[295,551,256,358,102,397],"intervals":[{"from_index":75,"to_index":293,"sum":76043,"residue":295},{"from_index":293,"to_index":511,"sum":68463,"residue":551},{"from_index":511,"to_index":729,"sum":70780,"residue":256},{"from_index":729,"to_index":947,"sum":65658,"residue":358},{"from_index":947,"to_index":1165,"sum":72585,"residue":102},{"from_index":1165,"to_index":75,"sum":70268,"residue":397}],"minimal_cycle":[295,551,256,358,102,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[75,293],"circle_positions":653,"cycle_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":[76,294,512,730,948,1166],"clock_positions":[76,294,512,730,948,1166],"native_values":[302,585,283,351,68,370],"rotation_degrees":20.91743119266055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,585,283,351,68,370],"beta":{"interval_sums":[76194,68343,70509,65507,72705,70539],"interval_residues":[446,431,638,207,222,15],"display_cycle":[446,431,638,207,222,15],"intervals":[{"from_index":76,"to_index":294,"sum":76194,"residue":446},{"from_index":294,"to_index":512,"sum":68343,"residue":431},{"from_index":512,"to_index":730,"sum":70509,"residue":638},{"from_index":730,"to_index":948,"sum":65507,"residue":207},{"from_index":948,"to_index":1166,"sum":72705,"residue":222},{"from_index":1166,"to_index":76,"sum":70539,"residue":15}],"minimal_cycle":[446,431,638,207,222,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[76,294],"circle_positions":653,"cycle_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":[77,295,513,731,949,1167],"clock_positions":[77,295,513,731,949,1167],"native_values":[290,385,95,363,268,558],"rotation_degrees":21.192660550458715,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,385,95,363,268,558],"beta":{"interval_sums":[76489,68241,70765,65212,72807,70283],"interval_residues":[88,329,241,565,324,412],"display_cycle":[88,329,241,565,324,412],"intervals":[{"from_index":77,"to_index":295,"sum":76489,"residue":88},{"from_index":295,"to_index":513,"sum":68241,"residue":329},{"from_index":513,"to_index":731,"sum":70765,"residue":241},{"from_index":731,"to_index":949,"sum":65212,"residue":565},{"from_index":949,"to_index":1167,"sum":72807,"residue":324},{"from_index":1167,"to_index":77,"sum":70283,"residue":412}],"minimal_cycle":[88,329,241,565,324,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[77,295],"circle_positions":653,"cycle_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":[78,296,514,732,950,1168],"clock_positions":[78,296,514,732,950,1168],"native_values":[592,317,378,61,336,275],"rotation_degrees":21.46788990825688,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,317,378,61,336,275],"beta":{"interval_sums":[76282,68019,70750,65419,73029,70298],"interval_residues":[534,107,226,119,546,427],"display_cycle":[534,107,226,119,546,427],"intervals":[{"from_index":78,"to_index":296,"sum":76282,"residue":534},{"from_index":296,"to_index":514,"sum":68019,"residue":107},{"from_index":514,"to_index":732,"sum":70750,"residue":226},{"from_index":732,"to_index":950,"sum":65419,"residue":119},{"from_index":950,"to_index":1168,"sum":73029,"residue":546},{"from_index":1168,"to_index":78,"sum":70298,"residue":427}],"minimal_cycle":[534,107,226,119,546,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[78,296],"circle_positions":653,"cycle_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":[79,297,515,733,951,1169],"clock_positions":[79,297,515,733,951,1169],"native_values":[229,49,473,424,604,180],"rotation_degrees":21.743119266055047,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,49,473,424,604,180],"beta":{"interval_sums":[76370,68348,70338,65331,72700,70710],"interval_residues":[622,436,467,31,217,186],"display_cycle":[622,436,467,31,217,186],"intervals":[{"from_index":79,"to_index":297,"sum":76370,"residue":622},{"from_index":297,"to_index":515,"sum":68348,"residue":436},{"from_index":515,"to_index":733,"sum":70338,"residue":467},{"from_index":733,"to_index":951,"sum":65331,"residue":31},{"from_index":951,"to_index":1169,"sum":72700,"residue":217},{"from_index":1169,"to_index":79,"sum":70710,"residue":186}],"minimal_cycle":[622,436,467,31,217,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[79,297],"circle_positions":653,"cycle_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":[80,298,516,734,952,1170],"clock_positions":[80,298,516,734,952,1170],"native_values":[168,366,198,485,287,455],"rotation_degrees":22.01834862385321,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,366,198,485,287,455],"beta":{"interval_sums":[76251,68455,70564,65450,72593,70484],"interval_residues":[503,543,40,150,110,613],"display_cycle":[503,543,40,150,110,613],"intervals":[{"from_index":80,"to_index":298,"sum":76251,"residue":503},{"from_index":298,"to_index":516,"sum":68455,"residue":543},{"from_index":516,"to_index":734,"sum":70564,"residue":40},{"from_index":734,"to_index":952,"sum":65450,"residue":150},{"from_index":952,"to_index":1170,"sum":72593,"residue":110},{"from_index":1170,"to_index":80,"sum":70484,"residue":613}],"minimal_cycle":[503,543,40,150,110,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":503,"start_interval_clock_positions":[80,298],"circle_positions":653,"cycle_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":[81,299,517,735,953,1171],"clock_positions":[81,299,517,735,953,1171],"native_values":[397,415,18,256,238,635],"rotation_degrees":22.293577981651374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,415,18,256,238,635],"beta":{"interval_sums":[76220,68238,71031,65481,72810,70017],"interval_residues":[472,326,507,181,327,146],"display_cycle":[472,326,507,181,327,146],"intervals":[{"from_index":81,"to_index":299,"sum":76220,"residue":472},{"from_index":299,"to_index":517,"sum":68238,"residue":326},{"from_index":517,"to_index":735,"sum":71031,"residue":507},{"from_index":735,"to_index":953,"sum":65481,"residue":181},{"from_index":953,"to_index":1171,"sum":72810,"residue":327},{"from_index":1171,"to_index":81,"sum":70017,"residue":146}],"minimal_cycle":[472,326,507,181,327,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[81,299],"circle_positions":653,"cycle_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":[82,300,518,736,954,1172],"clock_positions":[82,300,518,736,954,1172],"native_values":[565,128,216,88,525,437],"rotation_degrees":22.568807339449542,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,128,216,88,525,437],"beta":{"interval_sums":[76070,68128,71071,65631,72920,69977],"interval_residues":[322,216,547,331,437,106],"display_cycle":[322,216,547,331,437,106],"intervals":[{"from_index":82,"to_index":300,"sum":76070,"residue":322},{"from_index":300,"to_index":518,"sum":68128,"residue":216},{"from_index":518,"to_index":736,"sum":71071,"residue":547},{"from_index":736,"to_index":954,"sum":65631,"residue":331},{"from_index":954,"to_index":1172,"sum":72920,"residue":437},{"from_index":1172,"to_index":82,"sum":69977,"residue":106}],"minimal_cycle":[322,216,547,331,437,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[82,300],"circle_positions":653,"cycle_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":[83,301,519,737,955,1173],"clock_positions":[83,301,519,737,955,1173],"native_values":[309,543,234,344,110,419],"rotation_degrees":22.844036697247706,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,543,234,344,110,419],"beta":{"interval_sums":[75889,67801,70925,65812,73247,70123],"interval_residues":[141,542,401,512,111,252],"display_cycle":[141,542,401,512,111,252],"intervals":[{"from_index":83,"to_index":301,"sum":75889,"residue":141},{"from_index":301,"to_index":519,"sum":67801,"residue":542},{"from_index":519,"to_index":737,"sum":70925,"residue":401},{"from_index":737,"to_index":955,"sum":65812,"residue":512},{"from_index":955,"to_index":1173,"sum":73247,"residue":111},{"from_index":1173,"to_index":83,"sum":70123,"residue":252}],"minimal_cycle":[141,542,401,512,111,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[83,301],"circle_positions":653,"cycle_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":[84,302,520,738,956,1174],"clock_positions":[84,302,520,738,956,1174],"native_values":[221,18,450,432,635,203],"rotation_degrees":23.119266055045873,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,18,450,432,635,203],"beta":{"interval_sums":[76211,68017,70819,65490,73031,70229],"interval_residues":[463,105,295,190,548,358],"display_cycle":[463,105,295,190,548,358],"intervals":[{"from_index":84,"to_index":302,"sum":76211,"residue":463},{"from_index":302,"to_index":520,"sum":68017,"residue":105},{"from_index":520,"to_index":738,"sum":70819,"residue":295},{"from_index":738,"to_index":956,"sum":65490,"residue":190},{"from_index":956,"to_index":1174,"sum":73031,"residue":548},{"from_index":1174,"to_index":84,"sum":70229,"residue":358}],"minimal_cycle":[463,105,295,190,548,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":463,"start_interval_clock_positions":[84,302],"circle_positions":653,"cycle_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":[85,303,521,739,957,1175],"clock_positions":[85,303,521,739,957,1175],"native_values":[530,561,31,123,92,622],"rotation_degrees":23.394495412844037,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,561,31,123,92,622],"beta":{"interval_sums":[75699,67906,71220,66002,73142,69828],"interval_residues":[604,647,43,49,6,610],"display_cycle":[604,647,43,49,6,610],"intervals":[{"from_index":85,"to_index":303,"sum":75699,"residue":604},{"from_index":303,"to_index":521,"sum":67906,"residue":647},{"from_index":521,"to_index":739,"sum":71220,"residue":43},{"from_index":739,"to_index":957,"sum":66002,"residue":49},{"from_index":957,"to_index":1175,"sum":73142,"residue":6},{"from_index":1175,"to_index":85,"sum":69828,"residue":610}],"minimal_cycle":[604,647,43,49,6,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[85,303],"circle_positions":653,"cycle_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":[86,304,522,740,958,1176],"clock_positions":[86,304,522,740,958,1176],"native_values":[98,579,481,555,74,172],"rotation_degrees":23.6697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,579,481,555,74,172],"beta":{"interval_sums":[76162,67358,70862,65539,73690,70186],"interval_residues":[414,99,338,239,554,315],"display_cycle":[414,99,338,239,554,315],"intervals":[{"from_index":86,"to_index":304,"sum":76162,"residue":414},{"from_index":304,"to_index":522,"sum":67358,"residue":99},{"from_index":522,"to_index":740,"sum":70862,"residue":338},{"from_index":740,"to_index":958,"sum":65539,"residue":239},{"from_index":958,"to_index":1176,"sum":73690,"residue":554},{"from_index":1176,"to_index":86,"sum":70186,"residue":315}],"minimal_cycle":[414,99,338,239,554,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[86,304],"circle_positions":653,"cycle_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":[87,305,523,741,959,1177],"clock_positions":[87,305,523,741,959,1177],"native_values":[628,487,512,25,166,141],"rotation_degrees":23.94495412844037,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,487,512,25,166,141],"beta":{"interval_sums":[76113,67352,70905,65588,73696,70143],"interval_residues":[365,93,381,288,560,272],"display_cycle":[365,93,381,288,560,272],"intervals":[{"from_index":87,"to_index":305,"sum":76113,"residue":365},{"from_index":305,"to_index":523,"sum":67352,"residue":93},{"from_index":523,"to_index":741,"sum":70905,"residue":381},{"from_index":741,"to_index":959,"sum":65588,"residue":288},{"from_index":959,"to_index":1177,"sum":73696,"residue":560},{"from_index":1177,"to_index":87,"sum":70143,"residue":272}],"minimal_cycle":[365,93,381,288,560,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[87,305],"circle_positions":653,"cycle_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":[88,306,524,742,960,1178],"clock_positions":[88,306,524,742,960,1178],"native_values":[73,413,340,580,240,313],"rotation_degrees":24.220183486238533,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,413,340,580,240,313],"beta":{"interval_sums":[76527,67451,70590,65174,73597,70458],"interval_residues":[126,192,66,527,461,587],"display_cycle":[126,192,66,527,461,587],"intervals":[{"from_index":88,"to_index":306,"sum":76527,"residue":126},{"from_index":306,"to_index":524,"sum":67451,"residue":192},{"from_index":524,"to_index":742,"sum":70590,"residue":66},{"from_index":742,"to_index":960,"sum":65174,"residue":527},{"from_index":960,"to_index":1178,"sum":73597,"residue":461},{"from_index":1178,"to_index":88,"sum":70458,"residue":587}],"minimal_cycle":[126,192,66,527,461,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[88,306],"circle_positions":653,"cycle_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":[89,307,525,743,961,1179],"clock_positions":[89,307,525,743,961,1179],"native_values":[48,247,199,605,406,454],"rotation_degrees":24.495412844036696,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,247,199,605,406,454],"beta":{"interval_sums":[76892,67544,70971,64809,73504,70077],"interval_residues":[491,285,447,162,368,206],"display_cycle":[491,285,447,162,368,206],"intervals":[{"from_index":89,"to_index":307,"sum":76892,"residue":491},{"from_index":307,"to_index":525,"sum":67544,"residue":285},{"from_index":525,"to_index":743,"sum":70971,"residue":447},{"from_index":743,"to_index":961,"sum":64809,"residue":162},{"from_index":961,"to_index":1179,"sum":73504,"residue":368},{"from_index":1179,"to_index":89,"sum":70077,"residue":206}],"minimal_cycle":[491,285,447,162,368,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":491,"start_interval_clock_positions":[89,307],"circle_positions":653,"cycle_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":[90,308,526,744,962,1180],"clock_positions":[90,308,526,744,962,1180],"native_values":[121,7,539,532,646,114],"rotation_degrees":24.770642201834864,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,7,539,532,646,114],"beta":{"interval_sums":[77018,67736,71037,64683,73312,70011],"interval_residues":[617,477,513,36,176,140],"display_cycle":[617,477,513,36,176,140],"intervals":[{"from_index":90,"to_index":308,"sum":77018,"residue":617},{"from_index":308,"to_index":526,"sum":67736,"residue":477},{"from_index":526,"to_index":744,"sum":71037,"residue":513},{"from_index":744,"to_index":962,"sum":64683,"residue":36},{"from_index":962,"to_index":1180,"sum":73312,"residue":176},{"from_index":1180,"to_index":90,"sum":70011,"residue":140}],"minimal_cycle":[617,477,513,36,176,140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":617,"start_interval_clock_positions":[90,308],"circle_positions":653,"cycle_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":[91,309,527,745,963,1181],"clock_positions":[91,309,527,745,963,1181],"native_values":[169,254,85,484,399,568],"rotation_degrees":25.045871559633028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,254,85,484,399,568],"beta":{"interval_sums":[76856,68021,71484,64845,73027,69564],"interval_residues":[455,109,307,198,544,346],"display_cycle":[455,109,307,198,544,346],"intervals":[{"from_index":91,"to_index":309,"sum":76856,"residue":455},{"from_index":309,"to_index":527,"sum":68021,"residue":109},{"from_index":527,"to_index":745,"sum":71484,"residue":307},{"from_index":745,"to_index":963,"sum":64845,"residue":198},{"from_index":963,"to_index":1181,"sum":73027,"residue":544},{"from_index":1181,"to_index":91,"sum":69564,"residue":346}],"minimal_cycle":[455,109,307,198,544,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[91,309],"circle_positions":653,"cycle_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":[92,310,528,746,964,1182],"clock_positions":[92,310,528,746,964,1182],"native_values":[290,261,624,363,392,29],"rotation_degrees":25.321100917431192,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,261,624,363,392,29],"beta":{"interval_sums":[76820,67845,71344,64881,73203,69704],"interval_residues":[419,586,167,234,67,486],"display_cycle":[419,586,167,234,67,486],"intervals":[{"from_index":92,"to_index":310,"sum":76820,"residue":419},{"from_index":310,"to_index":528,"sum":67845,"residue":586},{"from_index":528,"to_index":746,"sum":71344,"residue":167},{"from_index":746,"to_index":964,"sum":64881,"residue":234},{"from_index":964,"to_index":1182,"sum":73203,"residue":67},{"from_index":1182,"to_index":92,"sum":69704,"residue":486}],"minimal_cycle":[419,586,167,234,67,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[92,310],"circle_positions":653,"cycle_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":[93,311,529,747,965,1183],"clock_positions":[93,311,529,747,965,1183],"native_values":[459,515,56,194,138,597],"rotation_degrees":25.59633027522936,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,515,56,194,138,597],"beta":{"interval_sums":[76622,67954,71651,65079,73094,69397],"interval_residues":[221,42,474,432,611,179],"display_cycle":[221,42,474,432,611,179],"intervals":[{"from_index":93,"to_index":311,"sum":76622,"residue":221},{"from_index":311,"to_index":529,"sum":67954,"residue":42},{"from_index":529,"to_index":747,"sum":71651,"residue":474},{"from_index":747,"to_index":965,"sum":65079,"residue":432},{"from_index":965,"to_index":1183,"sum":73094,"residue":611},{"from_index":1183,"to_index":93,"sum":69397,"residue":179}],"minimal_cycle":[221,42,474,432,611,179],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[93,311],"circle_positions":653,"cycle_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":[94,312,530,748,966,1184],"clock_positions":[94,312,530,748,966,1184],"native_values":[96,123,27,557,530,626],"rotation_degrees":25.871559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,123,27,557,530,626],"beta":{"interval_sums":[77041,67887,71818,64660,73161,69230],"interval_residues":[640,628,641,13,25,12],"display_cycle":[640,628,641,13,25,12],"intervals":[{"from_index":94,"to_index":312,"sum":77041,"residue":640},{"from_index":312,"to_index":530,"sum":67887,"residue":628},{"from_index":530,"to_index":748,"sum":71818,"residue":641},{"from_index":748,"to_index":966,"sum":64660,"residue":13},{"from_index":966,"to_index":1184,"sum":73161,"residue":25},{"from_index":1184,"to_index":94,"sum":69230,"residue":12}],"minimal_cycle":[640,628,641,13,25,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[94,312],"circle_positions":653,"cycle_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":[95,313,531,749,967,1185],"clock_positions":[95,313,531,749,967,1185],"native_values":[555,638,83,98,15,570],"rotation_degrees":26.146788990825687,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[555,638,83,98,15,570],"beta":{"interval_sums":[76609,67276,72292,65092,73772,68756],"interval_residues":[208,17,462,445,636,191],"display_cycle":[208,17,462,445,636,191],"intervals":[{"from_index":95,"to_index":313,"sum":76609,"residue":208},{"from_index":313,"to_index":531,"sum":67276,"residue":17},{"from_index":531,"to_index":749,"sum":72292,"residue":462},{"from_index":749,"to_index":967,"sum":65092,"residue":445},{"from_index":967,"to_index":1185,"sum":73772,"residue":636},{"from_index":1185,"to_index":95,"sum":68756,"residue":191}],"minimal_cycle":[208,17,462,445,636,191],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[95,313],"circle_positions":653,"cycle_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":[96,314,532,750,968,1186],"clock_positions":[96,314,532,750,968,1186],"native_values":[651,108,110,2,545,543],"rotation_degrees":26.422018348623855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,108,110,2,545,543],"beta":{"interval_sums":[76596,67251,72280,65105,73797,68768],"interval_residues":[195,645,450,458,8,203],"display_cycle":[195,645,450,458,8,203],"intervals":[{"from_index":96,"to_index":314,"sum":76596,"residue":195},{"from_index":314,"to_index":532,"sum":67251,"residue":645},{"from_index":532,"to_index":750,"sum":72280,"residue":450},{"from_index":750,"to_index":968,"sum":65105,"residue":458},{"from_index":968,"to_index":1186,"sum":73797,"residue":8},{"from_index":1186,"to_index":96,"sum":68768,"residue":203}],"minimal_cycle":[195,645,450,458,8,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[96,314],"circle_positions":653,"cycle_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":[97,315,533,751,969,1187],"clock_positions":[97,315,533,751,969,1187],"native_values":[553,93,193,100,560,460],"rotation_degrees":26.69724770642202,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,93,193,100,560,460],"beta":{"interval_sums":[76151,67268,72089,65550,73780,68959],"interval_residues":[403,9,259,250,644,394],"display_cycle":[403,9,259,250,644,394],"intervals":[{"from_index":97,"to_index":315,"sum":76151,"residue":403},{"from_index":315,"to_index":533,"sum":67268,"residue":9},{"from_index":533,"to_index":751,"sum":72089,"residue":259},{"from_index":751,"to_index":969,"sum":65550,"residue":250},{"from_index":969,"to_index":1187,"sum":73780,"residue":644},{"from_index":1187,"to_index":97,"sum":68959,"residue":394}],"minimal_cycle":[403,9,259,250,644,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[97,315],"circle_positions":653,"cycle_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":[98,316,534,752,970,1188],"clock_positions":[98,316,534,752,970,1188],"native_values":[551,201,303,102,452,350],"rotation_degrees":26.972477064220183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,201,303,102,452,350],"beta":{"interval_sums":[75693,67260,71886,66008,73788,69162],"interval_residues":[598,1,56,55,652,597],"display_cycle":[598,1,56,55,652,597],"intervals":[{"from_index":98,"to_index":316,"sum":75693,"residue":598},{"from_index":316,"to_index":534,"sum":67260,"residue":1},{"from_index":534,"to_index":752,"sum":71886,"residue":56},{"from_index":752,"to_index":970,"sum":66008,"residue":55},{"from_index":970,"to_index":1188,"sum":73788,"residue":652},{"from_index":1188,"to_index":98,"sum":69162,"residue":597}],"minimal_cycle":[598,1,56,55,652,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[98,316],"circle_positions":653,"cycle_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":[99,317,535,753,971,1189],"clock_positions":[99,317,535,753,971,1189],"native_values":[451,294,496,202,359,157],"rotation_degrees":27.24770642201835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,294,496,202,359,157],"beta":{"interval_sums":[75443,67269,71492,66258,73779,69556],"interval_residues":[348,10,315,305,643,338],"display_cycle":[348,10,315,305,643,338],"intervals":[{"from_index":99,"to_index":317,"sum":75443,"residue":348},{"from_index":317,"to_index":535,"sum":67269,"residue":10},{"from_index":535,"to_index":753,"sum":71492,"residue":315},{"from_index":753,"to_index":971,"sum":66258,"residue":305},{"from_index":971,"to_index":1189,"sum":73779,"residue":643},{"from_index":1189,"to_index":99,"sum":69556,"residue":338}],"minimal_cycle":[348,10,315,305,643,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[99,317],"circle_positions":653,"cycle_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":[100,318,536,754,972,1190],"clock_positions":[100,318,536,754,972,1190],"native_values":[349,495,146,304,158,507],"rotation_degrees":27.522935779816514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,495,146,304,158,507],"beta":{"interval_sums":[75388,67270,71548,66313,73778,69500],"interval_residues":[293,11,371,360,642,282],"display_cycle":[293,11,371,360,642,282],"intervals":[{"from_index":100,"to_index":318,"sum":75388,"residue":293},{"from_index":318,"to_index":536,"sum":67270,"residue":11},{"from_index":536,"to_index":754,"sum":71548,"residue":371},{"from_index":754,"to_index":972,"sum":66313,"residue":360},{"from_index":972,"to_index":1190,"sum":73778,"residue":642},{"from_index":1190,"to_index":100,"sum":69500,"residue":282}],"minimal_cycle":[293,11,371,360,642,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[100,318],"circle_positions":653,"cycle_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":[101,319,537,755,973,1191],"clock_positions":[101,319,537,755,973,1191],"native_values":[147,136,642,506,517,11],"rotation_degrees":27.798165137614678,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,136,642,506,517,11],"beta":{"interval_sums":[75736,67280,71210,65965,73768,69838],"interval_residues":[641,21,33,12,632,620],"display_cycle":[641,21,33,12,632,620],"intervals":[{"from_index":101,"to_index":319,"sum":75736,"residue":641},{"from_index":319,"to_index":537,"sum":67280,"residue":21},{"from_index":537,"to_index":755,"sum":71210,"residue":33},{"from_index":755,"to_index":973,"sum":65965,"residue":12},{"from_index":973,"to_index":1191,"sum":73768,"residue":632},{"from_index":1191,"to_index":101,"sum":69838,"residue":620}],"minimal_cycle":[641,21,33,12,632,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[101,319],"circle_positions":653,"cycle_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":[102,320,538,756,974,1192],"clock_positions":[102,320,538,756,974,1192],"native_values":[496,631,135,157,22,518],"rotation_degrees":28.073394495412845,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,631,135,157,22,518],"beta":{"interval_sums":[75376,67291,71581,66325,73757,69467],"interval_residues":[281,32,404,372,621,249],"display_cycle":[281,32,404,372,621,249],"intervals":[{"from_index":102,"to_index":320,"sum":75376,"residue":281},{"from_index":320,"to_index":538,"sum":67291,"residue":32},{"from_index":538,"to_index":756,"sum":71581,"residue":404},{"from_index":756,"to_index":974,"sum":66325,"residue":372},{"from_index":974,"to_index":1192,"sum":73757,"residue":621},{"from_index":1192,"to_index":102,"sum":69467,"residue":249}],"minimal_cycle":[281,32,404,372,621,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":281,"start_interval_clock_positions":[102,320],"circle_positions":653,"cycle_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":[103,321,539,757,975,1193],"clock_positions":[103,321,539,757,975,1193],"native_values":[643,114,124,10,539,529],"rotation_degrees":28.34862385321101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[643,114,124,10,539,529],"beta":{"interval_sums":[75364,67312,71614,66337,73736,69434],"interval_residues":[269,53,437,384,600,216],"display_cycle":[269,53,437,384,600,216],"intervals":[{"from_index":103,"to_index":321,"sum":75364,"residue":269},{"from_index":321,"to_index":539,"sum":67312,"residue":53},{"from_index":539,"to_index":757,"sum":71614,"residue":437},{"from_index":757,"to_index":975,"sum":66337,"residue":384},{"from_index":975,"to_index":1193,"sum":73736,"residue":600},{"from_index":1193,"to_index":103,"sum":69434,"residue":216}],"minimal_cycle":[269,53,437,384,600,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":269,"start_interval_clock_positions":[103,321],"circle_positions":653,"cycle_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":[104,322,540,758,976,1194],"clock_positions":[104,322,540,758,976,1194],"native_values":[486,92,259,167,561,394],"rotation_degrees":28.623853211009173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,92,259,167,561,394],"beta":{"interval_sums":[74992,67344,71365,66709,73704,69683],"interval_residues":[550,85,188,103,568,465],"display_cycle":[550,85,188,103,568,465],"intervals":[{"from_index":104,"to_index":322,"sum":74992,"residue":550},{"from_index":322,"to_index":540,"sum":67344,"residue":85},{"from_index":540,"to_index":758,"sum":71365,"residue":188},{"from_index":758,"to_index":976,"sum":66709,"residue":103},{"from_index":976,"to_index":1194,"sum":73704,"residue":568},{"from_index":1194,"to_index":104,"sum":69683,"residue":465}],"minimal_cycle":[550,85,188,103,568,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[104,322],"circle_positions":653,"cycle_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":[105,323,541,759,977,1195],"clock_positions":[105,323,541,759,977,1195],"native_values":[476,206,383,177,447,270],"rotation_degrees":28.89908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[476,206,383,177,447,270],"beta":{"interval_sums":[74608,67397,71149,67093,73651,69899],"interval_residues":[166,138,625,487,515,28],"display_cycle":[166,138,625,487,515,28],"intervals":[{"from_index":105,"to_index":323,"sum":74608,"residue":166},{"from_index":323,"to_index":541,"sum":67397,"residue":138},{"from_index":541,"to_index":759,"sum":71149,"residue":625},{"from_index":759,"to_index":977,"sum":67093,"residue":487},{"from_index":977,"to_index":1195,"sum":73651,"residue":515},{"from_index":1195,"to_index":105,"sum":69899,"residue":28}],"minimal_cycle":[166,138,625,487,515,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[105,323],"circle_positions":653,"cycle_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":[106,324,542,760,978,1196],"clock_positions":[106,324,542,760,978,1196],"native_values":[309,298,642,344,355,11],"rotation_degrees":29.174311926605505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,298,642,344,355,11],"beta":{"interval_sums":[74505,67482,70684,67196,73566,70364],"interval_residues":[63,223,160,590,430,493],"display_cycle":[63,223,160,590,430,493],"intervals":[{"from_index":106,"to_index":324,"sum":74505,"residue":63},{"from_index":324,"to_index":542,"sum":67482,"residue":223},{"from_index":542,"to_index":760,"sum":70684,"residue":160},{"from_index":760,"to_index":978,"sum":67196,"residue":590},{"from_index":978,"to_index":1196,"sum":73566,"residue":430},{"from_index":1196,"to_index":106,"sum":70364,"residue":493}],"minimal_cycle":[63,223,160,590,430,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[106,324],"circle_positions":653,"cycle_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":[107,325,543,761,979,1197],"clock_positions":[107,325,543,761,979,1197],"native_values":[132,504,372,521,149,281],"rotation_degrees":29.44954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,504,372,521,149,281],"beta":{"interval_sums":[74671,67620,70656,67030,73428,70392],"interval_residues":[229,361,132,424,292,521],"display_cycle":[229,361,132,424,292,521],"intervals":[{"from_index":107,"to_index":325,"sum":74671,"residue":229},{"from_index":325,"to_index":543,"sum":67620,"residue":361},{"from_index":543,"to_index":761,"sum":70656,"residue":132},{"from_index":761,"to_index":979,"sum":67030,"residue":424},{"from_index":979,"to_index":1197,"sum":73428,"residue":292},{"from_index":1197,"to_index":107,"sum":70392,"residue":521}],"minimal_cycle":[229,361,132,424,292,521],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[107,325],"circle_positions":653,"cycle_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":[108,326,544,762,980,1198],"clock_positions":[108,326,544,762,980,1198],"native_values":[441,149,361,212,504,292],"rotation_degrees":29.724770642201836,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,149,361,212,504,292],"beta":{"interval_sums":[74734,67843,70816,66967,73205,70232],"interval_residues":[292,584,292,361,69,361],"display_cycle":[292,584,292,361,69,361],"intervals":[{"from_index":108,"to_index":326,"sum":74734,"residue":292},{"from_index":326,"to_index":544,"sum":67843,"residue":584},{"from_index":544,"to_index":762,"sum":70816,"residue":292},{"from_index":762,"to_index":980,"sum":66967,"residue":361},{"from_index":980,"to_index":1198,"sum":73205,"residue":69},{"from_index":1198,"to_index":108,"sum":70232,"residue":361}],"minimal_cycle":[292,584,292,361,69,361],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[108,326],"circle_positions":653,"cycle_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":[109,327,545,763,981,1199],"clock_positions":[109,327,545,763,981,1199],"native_values":[573,653,80,80,653,573],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,653,80,80,653,573],"beta":{"interval_sums":[74310,68204,70948,67391,73497,70100],"interval_residues":[521,292,424,132,361,229],"display_cycle":[521,292,424,132,361,229],"intervals":[{"from_index":109,"to_index":327,"sum":74310,"residue":521},{"from_index":327,"to_index":545,"sum":68204,"residue":292},{"from_index":545,"to_index":763,"sum":70948,"residue":424},{"from_index":763,"to_index":981,"sum":67391,"residue":132},{"from_index":981,"to_index":1199,"sum":73497,"residue":361},{"from_index":1199,"to_index":109,"sum":70100,"residue":229}],"minimal_cycle":[521,292,424,132,361,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":521,"start_interval_clock_positions":[109,327],"circle_positions":653,"cycle_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":[110,328,546,764,982,1200],"clock_positions":[110,328,546,764,982,1200],"native_values":[361,149,441,292,504,212],"rotation_degrees":30.275229357798164,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,149,441,292,504,212],"beta":{"interval_sums":[73949,68135,70587,67099,73566,70461],"interval_residues":[160,223,63,493,430,590],"display_cycle":[160,223,63,493,430,590],"intervals":[{"from_index":110,"to_index":328,"sum":73949,"residue":160},{"from_index":328,"to_index":546,"sum":68135,"residue":223},{"from_index":546,"to_index":764,"sum":70587,"residue":63},{"from_index":764,"to_index":982,"sum":67099,"residue":493},{"from_index":982,"to_index":1200,"sum":73566,"residue":430},{"from_index":1200,"to_index":110,"sum":70461,"residue":590}],"minimal_cycle":[160,223,63,493,430,590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[110,328],"circle_positions":653,"cycle_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":[111,329,547,765,983,1201],"clock_positions":[111,329,547,765,983,1201],"native_values":[281,149,521,372,504,132],"rotation_degrees":30.55045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,149,521,372,504,132],"beta":{"interval_sums":[73817,68427,70358,67231,73274,70690],"interval_residues":[28,515,487,625,138,166],"display_cycle":[28,515,487,625,138,166],"intervals":[{"from_index":111,"to_index":329,"sum":73817,"residue":28},{"from_index":329,"to_index":547,"sum":68427,"residue":515},{"from_index":547,"to_index":765,"sum":70358,"residue":487},{"from_index":765,"to_index":983,"sum":67231,"residue":625},{"from_index":983,"to_index":1201,"sum":73274,"residue":138},{"from_index":1201,"to_index":111,"sum":70690,"residue":166}],"minimal_cycle":[28,515,487,625,138,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[111,329],"circle_positions":653,"cycle_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":[112,330,548,766,984,1202],"clock_positions":[112,330,548,766,984,1202],"native_values":[642,298,309,11,355,344],"rotation_degrees":30.825688073394495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,298,309,11,355,344],"beta":{"interval_sums":[73324,68650,70421,67724,73051,70627],"interval_residues":[188,85,550,465,568,103],"display_cycle":[188,85,550,465,568,103],"intervals":[{"from_index":112,"to_index":330,"sum":73324,"residue":188},{"from_index":330,"to_index":548,"sum":68650,"residue":85},{"from_index":548,"to_index":766,"sum":70421,"residue":550},{"from_index":766,"to_index":984,"sum":67724,"residue":465},{"from_index":984,"to_index":1202,"sum":73051,"residue":568},{"from_index":1202,"to_index":112,"sum":70627,"residue":103}],"minimal_cycle":[188,85,550,465,568,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[112,330],"circle_positions":653,"cycle_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":[113,331,549,767,985,1203],"clock_positions":[113,331,549,767,985,1203],"native_values":[270,447,177,383,206,476],"rotation_degrees":31.10091743119266,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,447,177,383,206,476],"beta":{"interval_sums":[73352,68512,70255,67696,73189,70793],"interval_residues":[216,600,384,437,53,269],"display_cycle":[216,600,384,437,53,269],"intervals":[{"from_index":113,"to_index":331,"sum":73352,"residue":216},{"from_index":331,"to_index":549,"sum":68512,"residue":600},{"from_index":549,"to_index":767,"sum":70255,"residue":384},{"from_index":767,"to_index":985,"sum":67696,"residue":437},{"from_index":985,"to_index":1203,"sum":73189,"residue":53},{"from_index":1203,"to_index":113,"sum":70793,"residue":269}],"minimal_cycle":[216,600,384,437,53,269],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[113,331],"circle_positions":653,"cycle_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":[114,332,550,768,986,1204],"clock_positions":[114,332,550,768,986,1204],"native_values":[259,92,486,394,561,167],"rotation_degrees":31.376146788990827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,92,486,394,561,167],"beta":{"interval_sums":[73540,68597,70152,67508,73104,70896],"interval_residues":[404,32,281,249,621,372],"display_cycle":[404,32,281,249,621,372],"intervals":[{"from_index":114,"to_index":332,"sum":73540,"residue":404},{"from_index":332,"to_index":550,"sum":68597,"residue":32},{"from_index":550,"to_index":768,"sum":70152,"residue":281},{"from_index":768,"to_index":986,"sum":67508,"residue":249},{"from_index":986,"to_index":1204,"sum":73104,"residue":621},{"from_index":1204,"to_index":114,"sum":70896,"residue":372}],"minimal_cycle":[404,32,281,249,621,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[114,332],"circle_positions":653,"cycle_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":[115,333,551,769,987,1205],"clock_positions":[115,333,551,769,987,1205],"native_values":[529,539,10,124,114,643],"rotation_degrees":31.65137614678899,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,539,10,124,114,643],"beta":{"interval_sums":[73103,68544,70536,67945,73157,70512],"interval_residues":[620,632,12,33,21,641],"display_cycle":[620,632,12,33,21,641],"intervals":[{"from_index":115,"to_index":333,"sum":73103,"residue":620},{"from_index":333,"to_index":551,"sum":68544,"residue":632},{"from_index":551,"to_index":769,"sum":70536,"residue":12},{"from_index":769,"to_index":987,"sum":67945,"residue":33},{"from_index":987,"to_index":1205,"sum":73157,"residue":21},{"from_index":1205,"to_index":115,"sum":70512,"residue":641}],"minimal_cycle":[620,632,12,33,21,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[115,333],"circle_positions":653,"cycle_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":[116,334,552,770,988,1206],"clock_positions":[116,334,552,770,988,1206],"native_values":[135,631,496,518,22,157],"rotation_degrees":31.926605504587155,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,631,496,518,22,157],"beta":{"interval_sums":[73507,67923,70164,67541,73778,70884],"interval_residues":[371,11,293,282,642,360],"display_cycle":[371,11,293,282,642,360],"intervals":[{"from_index":116,"to_index":334,"sum":73507,"residue":371},{"from_index":334,"to_index":552,"sum":67923,"residue":11},{"from_index":552,"to_index":770,"sum":70164,"residue":293},{"from_index":770,"to_index":988,"sum":67541,"residue":282},{"from_index":988,"to_index":1206,"sum":73778,"residue":642},{"from_index":1206,"to_index":116,"sum":70884,"residue":360}],"minimal_cycle":[371,11,293,282,642,360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[116,334],"circle_positions":653,"cycle_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":[117,335,553,771,989,1207],"clock_positions":[117,335,553,771,989,1207],"native_values":[11,517,506,642,136,147],"rotation_degrees":32.20183486238532,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,517,506,642,136,147],"beta":{"interval_sums":[74127,67902,70176,66921,73799,70872],"interval_residues":[338,643,305,315,10,348],"display_cycle":[338,643,305,315,10,348],"intervals":[{"from_index":117,"to_index":335,"sum":74127,"residue":338},{"from_index":335,"to_index":553,"sum":67902,"residue":643},{"from_index":553,"to_index":771,"sum":70176,"residue":305},{"from_index":771,"to_index":989,"sum":66921,"residue":315},{"from_index":989,"to_index":1207,"sum":73799,"residue":10},{"from_index":1207,"to_index":117,"sum":70872,"residue":348}],"minimal_cycle":[338,643,305,315,10,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[117,335],"circle_positions":653,"cycle_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":[118,336,554,772,990,1208],"clock_positions":[118,336,554,772,990,1208],"native_values":[146,495,349,507,158,304],"rotation_degrees":32.477064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[146,495,349,507,158,304],"beta":{"interval_sums":[74498,67913,70469,66550,73788,70579],"interval_residues":[56,1,598,597,652,55],"display_cycle":[56,1,598,597,652,55],"intervals":[{"from_index":118,"to_index":336,"sum":74498,"residue":56},{"from_index":336,"to_index":554,"sum":67913,"residue":1},{"from_index":554,"to_index":772,"sum":70469,"residue":598},{"from_index":772,"to_index":990,"sum":66550,"residue":597},{"from_index":990,"to_index":1208,"sum":73788,"residue":652},{"from_index":1208,"to_index":118,"sum":70579,"residue":55}],"minimal_cycle":[56,1,598,597,652,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[118,336],"circle_positions":653,"cycle_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":[119,337,555,773,991,1209],"clock_positions":[119,337,555,773,991,1209],"native_values":[157,359,202,496,294,451],"rotation_degrees":32.75229357798165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,359,202,496,294,451],"beta":{"interval_sums":[74836,67903,70774,66212,73798,70274],"interval_residues":[394,644,250,259,9,403],"display_cycle":[394,644,250,259,9,403],"intervals":[{"from_index":119,"to_index":337,"sum":74836,"residue":394},{"from_index":337,"to_index":555,"sum":67903,"residue":644},{"from_index":555,"to_index":773,"sum":70774,"residue":250},{"from_index":773,"to_index":991,"sum":66212,"residue":259},{"from_index":991,"to_index":1209,"sum":73798,"residue":9},{"from_index":1209,"to_index":119,"sum":70274,"residue":403}],"minimal_cycle":[394,644,250,259,9,403],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[119,337],"circle_positions":653,"cycle_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":[120,338,556,774,992,1210],"clock_positions":[120,338,556,774,992,1210],"native_values":[303,201,551,350,452,102],"rotation_degrees":33.027522935779814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,201,551,350,452,102],"beta":{"interval_sums":[74892,67904,70719,66156,73797,70329],"interval_residues":[450,645,195,203,8,458],"display_cycle":[450,645,195,203,8,458],"intervals":[{"from_index":120,"to_index":338,"sum":74892,"residue":450},{"from_index":338,"to_index":556,"sum":67904,"residue":645},{"from_index":556,"to_index":774,"sum":70719,"residue":195},{"from_index":774,"to_index":992,"sum":66156,"residue":203},{"from_index":992,"to_index":1210,"sum":73797,"residue":8},{"from_index":1210,"to_index":120,"sum":70329,"residue":458}],"minimal_cycle":[450,645,195,203,8,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[120,338],"circle_positions":653,"cycle_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":[121,339,557,775,993,1211],"clock_positions":[121,339,557,775,993,1211],"native_values":[460,560,100,193,93,553],"rotation_degrees":33.30275229357798,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,560,100,193,93,553],"beta":{"interval_sums":[74633,67895,70969,66415,73806,70079],"interval_residues":[191,636,445,462,17,208],"display_cycle":[191,636,445,462,17,208],"intervals":[{"from_index":121,"to_index":339,"sum":74633,"residue":191},{"from_index":339,"to_index":557,"sum":67895,"residue":636},{"from_index":557,"to_index":775,"sum":70969,"residue":445},{"from_index":775,"to_index":993,"sum":66415,"residue":462},{"from_index":993,"to_index":1211,"sum":73806,"residue":17},{"from_index":1211,"to_index":121,"sum":70079,"residue":208}],"minimal_cycle":[191,636,445,462,17,208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[121,339],"circle_positions":653,"cycle_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":[122,340,558,776,994,1212],"clock_positions":[122,340,558,776,994,1212],"native_values":[110,108,651,543,545,2],"rotation_degrees":33.57798165137615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,108,651,543,545,2],"beta":{"interval_sums":[75083,67887,70511,65965,73814,70537],"interval_residues":[641,628,640,12,25,13],"display_cycle":[641,628,640,12,25,13],"intervals":[{"from_index":122,"to_index":340,"sum":75083,"residue":641},{"from_index":340,"to_index":558,"sum":67887,"residue":628},{"from_index":558,"to_index":776,"sum":70511,"residue":640},{"from_index":776,"to_index":994,"sum":65965,"residue":12},{"from_index":994,"to_index":1212,"sum":73814,"residue":25},{"from_index":1212,"to_index":122,"sum":70537,"residue":13}],"minimal_cycle":[641,628,640,12,25,13],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[122,340],"circle_positions":653,"cycle_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":[123,341,559,777,995,1213],"clock_positions":[123,341,559,777,995,1213],"native_values":[570,15,98,83,638,555],"rotation_degrees":33.85321100917431,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[570,15,98,83,638,555],"beta":{"interval_sums":[74621,68523,70956,66427,73178,70092],"interval_residues":[179,611,432,474,42,221],"display_cycle":[179,611,432,474,42,221],"intervals":[{"from_index":123,"to_index":341,"sum":74621,"residue":179},{"from_index":341,"to_index":559,"sum":68523,"residue":611},{"from_index":559,"to_index":777,"sum":70956,"residue":432},{"from_index":777,"to_index":995,"sum":66427,"residue":474},{"from_index":995,"to_index":1213,"sum":73178,"residue":42},{"from_index":1213,"to_index":123,"sum":70092,"residue":221}],"minimal_cycle":[179,611,432,474,42,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":179,"start_interval_clock_positions":[123,341],"circle_positions":653,"cycle_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":[124,342,560,778,996,1214],"clock_positions":[124,342,560,778,996,1214],"native_values":[27,123,96,626,530,557],"rotation_degrees":34.12844036697248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,123,96,626,530,557],"beta":{"interval_sums":[74609,68498,70943,66439,73203,70105],"interval_residues":[167,586,419,486,67,234],"display_cycle":[167,586,419,486,67,234],"intervals":[{"from_index":124,"to_index":342,"sum":74609,"residue":167},{"from_index":342,"to_index":560,"sum":68498,"residue":586},{"from_index":560,"to_index":778,"sum":70943,"residue":419},{"from_index":778,"to_index":996,"sum":66439,"residue":486},{"from_index":996,"to_index":1214,"sum":73203,"residue":67},{"from_index":1214,"to_index":124,"sum":70105,"residue":234}],"minimal_cycle":[167,586,419,486,67,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[124,342],"circle_positions":653,"cycle_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":[125,343,561,779,997,1215],"clock_positions":[125,343,561,779,997,1215],"native_values":[597,138,194,56,515,459],"rotation_degrees":34.403669724770644,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,138,194,56,515,459],"beta":{"interval_sums":[74135,68456,71375,66913,73245,69673],"interval_residues":[346,544,198,307,109,455],"display_cycle":[346,544,198,307,109,455],"intervals":[{"from_index":125,"to_index":343,"sum":74135,"residue":346},{"from_index":343,"to_index":561,"sum":68456,"residue":544},{"from_index":561,"to_index":779,"sum":71375,"residue":198},{"from_index":779,"to_index":997,"sum":66913,"residue":307},{"from_index":997,"to_index":1215,"sum":73245,"residue":109},{"from_index":1215,"to_index":125,"sum":69673,"residue":455}],"minimal_cycle":[346,544,198,307,109,455],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[125,343],"circle_positions":653,"cycle_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":[126,344,562,780,998,1216],"clock_positions":[126,344,562,780,998,1216],"native_values":[624,261,290,29,392,363],"rotation_degrees":34.678899082568805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,261,290,29,392,363],"beta":{"interval_sums":[73649,68389,71141,67399,73312,69907],"interval_residues":[513,477,617,140,176,36],"display_cycle":[513,477,617,140,176,36],"intervals":[{"from_index":126,"to_index":344,"sum":73649,"residue":513},{"from_index":344,"to_index":562,"sum":68389,"residue":477},{"from_index":562,"to_index":780,"sum":71141,"residue":617},{"from_index":780,"to_index":998,"sum":67399,"residue":140},{"from_index":998,"to_index":1216,"sum":73312,"residue":176},{"from_index":1216,"to_index":126,"sum":69907,"residue":36}],"minimal_cycle":[513,477,617,140,176,36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[126,344],"circle_positions":653,"cycle_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":[127,345,563,781,999,1217],"clock_positions":[127,345,563,781,999,1217],"native_values":[568,399,484,85,254,169],"rotation_degrees":34.95412844036697,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[568,399,484,85,254,169],"beta":{"interval_sums":[73342,68280,70686,67706,73421,70362],"interval_residues":[206,368,162,447,285,491],"display_cycle":[206,368,162,447,285,491],"intervals":[{"from_index":127,"to_index":345,"sum":73342,"residue":206},{"from_index":345,"to_index":563,"sum":68280,"residue":368},{"from_index":563,"to_index":781,"sum":70686,"residue":162},{"from_index":781,"to_index":999,"sum":67706,"residue":447},{"from_index":999,"to_index":1217,"sum":73421,"residue":285},{"from_index":1217,"to_index":127,"sum":70362,"residue":491}],"minimal_cycle":[206,368,162,447,285,491],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[127,345],"circle_positions":653,"cycle_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":[128,346,564,782,1000,1218],"clock_positions":[128,346,564,782,1000,1218],"native_values":[539,7,121,114,646,532],"rotation_degrees":35.22935779816514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[539,7,121,114,646,532],"beta":{"interval_sums":[73202,68757,70650,67846,72944,70398],"interval_residues":[66,192,126,587,461,527],"display_cycle":[66,192,126,587,461,527],"intervals":[{"from_index":128,"to_index":346,"sum":73202,"residue":66},{"from_index":346,"to_index":564,"sum":68757,"residue":192},{"from_index":564,"to_index":782,"sum":70650,"residue":126},{"from_index":782,"to_index":1000,"sum":67846,"residue":587},{"from_index":1000,"to_index":1218,"sum":72944,"residue":461},{"from_index":1218,"to_index":128,"sum":70398,"residue":527}],"minimal_cycle":[66,192,126,587,461,527],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[128,346],"circle_positions":653,"cycle_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":[129,347,565,783,1001,1219],"clock_positions":[129,347,565,783,1001,1219],"native_values":[454,406,605,199,247,48],"rotation_degrees":35.5045871559633,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[454,406,605,199,247,48],"beta":{"interval_sums":[72755,68472,70159,68293,73229,70889],"interval_residues":[272,560,288,381,93,365],"display_cycle":[272,560,288,381,93,365],"intervals":[{"from_index":129,"to_index":347,"sum":72755,"residue":272},{"from_index":347,"to_index":565,"sum":68472,"residue":560},{"from_index":565,"to_index":783,"sum":70159,"residue":288},{"from_index":783,"to_index":1001,"sum":68293,"residue":381},{"from_index":1001,"to_index":1219,"sum":73229,"residue":93},{"from_index":1219,"to_index":129,"sum":70889,"residue":365}],"minimal_cycle":[272,560,288,381,93,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[129,347],"circle_positions":653,"cycle_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":[130,348,566,784,1002,1220],"clock_positions":[130,348,566,784,1002,1220],"native_values":[340,413,73,313,240,580],"rotation_degrees":35.77981651376147,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,413,73,313,240,580],"beta":{"interval_sums":[72821,68664,70285,68227,73037,70763],"interval_residues":[338,99,414,315,554,239],"display_cycle":[338,99,414,315,554,239],"intervals":[{"from_index":130,"to_index":348,"sum":72821,"residue":338},{"from_index":348,"to_index":566,"sum":68664,"residue":99},{"from_index":566,"to_index":784,"sum":70285,"residue":414},{"from_index":784,"to_index":1002,"sum":68227,"residue":315},{"from_index":1002,"to_index":1220,"sum":73037,"residue":554},{"from_index":1220,"to_index":130,"sum":70763,"residue":239}],"minimal_cycle":[338,99,414,315,554,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[130,348],"circle_positions":653,"cycle_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":[131,349,567,785,1003,1221],"clock_positions":[131,349,567,785,1003,1221],"native_values":[141,166,25,512,487,628],"rotation_degrees":36.055045871559635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,166,25,512,487,628],"beta":{"interval_sums":[73093,68571,70573,67955,73130,70475],"interval_residues":[610,6,49,43,647,604],"display_cycle":[610,6,49,43,647,604],"intervals":[{"from_index":131,"to_index":349,"sum":73093,"residue":610},{"from_index":349,"to_index":567,"sum":68571,"residue":6},{"from_index":567,"to_index":785,"sum":70573,"residue":49},{"from_index":785,"to_index":1003,"sum":67955,"residue":43},{"from_index":1003,"to_index":1221,"sum":73130,"residue":647},{"from_index":1221,"to_index":131,"sum":70475,"residue":604}],"minimal_cycle":[610,6,49,43,647,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[131,349],"circle_positions":653,"cycle_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":[132,350,568,786,1004,1222],"clock_positions":[132,350,568,786,1004,1222],"native_values":[481,579,98,172,74,555],"rotation_degrees":36.330275229357795,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[481,579,98,172,74,555],"beta":{"interval_sums":[72778,68017,70987,68270,73684,70061],"interval_residues":[295,105,463,358,548,190],"display_cycle":[295,105,463,358,548,190],"intervals":[{"from_index":132,"to_index":350,"sum":72778,"residue":295},{"from_index":350,"to_index":568,"sum":68017,"residue":105},{"from_index":568,"to_index":786,"sum":70987,"residue":463},{"from_index":786,"to_index":1004,"sum":68270,"residue":358},{"from_index":1004,"to_index":1222,"sum":73684,"residue":548},{"from_index":1222,"to_index":132,"sum":70061,"residue":190}],"minimal_cycle":[295,105,463,358,548,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[132,350],"circle_positions":653,"cycle_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":[133,351,569,787,1005,1223],"clock_positions":[133,351,569,787,1005,1223],"native_values":[622,92,123,31,561,530],"rotation_degrees":36.60550458715596,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,92,123,31,561,530],"beta":{"interval_sums":[72735,68023,71036,68313,73678,70012],"interval_residues":[252,111,512,401,542,141],"display_cycle":[252,111,512,401,542,141],"intervals":[{"from_index":133,"to_index":351,"sum":72735,"residue":252},{"from_index":351,"to_index":569,"sum":68023,"residue":111},{"from_index":569,"to_index":787,"sum":71036,"residue":512},{"from_index":787,"to_index":1005,"sum":68313,"residue":401},{"from_index":1005,"to_index":1223,"sum":73678,"residue":542},{"from_index":1223,"to_index":133,"sum":70012,"residue":141}],"minimal_cycle":[252,111,512,401,542,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[133,351],"circle_positions":653,"cycle_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":[134,352,570,788,1006,1224],"clock_positions":[134,352,570,788,1006,1224],"native_values":[450,18,221,203,635,432],"rotation_degrees":36.88073394495413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,18,221,203,635,432],"beta":{"interval_sums":[72377,68128,70846,68671,73573,70202],"interval_residues":[547,216,322,106,437,331],"display_cycle":[547,216,322,106,437,331],"intervals":[{"from_index":134,"to_index":352,"sum":72377,"residue":547},{"from_index":352,"to_index":570,"sum":68128,"residue":216},{"from_index":570,"to_index":788,"sum":70846,"residue":322},{"from_index":788,"to_index":1006,"sum":68671,"residue":106},{"from_index":1006,"to_index":1224,"sum":73573,"residue":437},{"from_index":1224,"to_index":134,"sum":70202,"residue":331}],"minimal_cycle":[547,216,322,106,437,331],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":547,"start_interval_clock_positions":[134,352],"circle_positions":653,"cycle_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":[135,353,571,789,1007,1225],"clock_positions":[135,353,571,789,1007,1225],"native_values":[419,110,344,234,543,309],"rotation_degrees":37.15596330275229,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,110,344,234,543,309],"beta":{"interval_sums":[71976,68239,70705,69072,73462,70343],"interval_residues":[146,327,181,507,326,472],"display_cycle":[146,327,181,507,326,472],"intervals":[{"from_index":135,"to_index":353,"sum":71976,"residue":146},{"from_index":353,"to_index":571,"sum":68239,"residue":327},{"from_index":571,"to_index":789,"sum":70705,"residue":181},{"from_index":789,"to_index":1007,"sum":69072,"residue":507},{"from_index":1007,"to_index":1225,"sum":73462,"residue":326},{"from_index":1225,"to_index":135,"sum":70343,"residue":472}],"minimal_cycle":[146,327,181,507,326,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[135,353],"circle_positions":653,"cycle_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":[136,354,572,790,1008,1226],"clock_positions":[136,354,572,790,1008,1226],"native_values":[216,128,565,437,525,88],"rotation_degrees":37.43119266055046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,128,565,437,525,88],"beta":{"interval_sums":[71870,68455,70374,69178,73246,70674],"interval_residues":[40,543,503,613,110,150],"display_cycle":[40,543,503,613,110,150],"intervals":[{"from_index":136,"to_index":354,"sum":71870,"residue":40},{"from_index":354,"to_index":572,"sum":68455,"residue":543},{"from_index":572,"to_index":790,"sum":70374,"residue":503},{"from_index":790,"to_index":1008,"sum":69178,"residue":613},{"from_index":1008,"to_index":1226,"sum":73246,"residue":110},{"from_index":1226,"to_index":136,"sum":70674,"residue":150}],"minimal_cycle":[40,543,503,613,110,150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[136,354],"circle_positions":653,"cycle_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":[137,355,573,791,1009,1227],"clock_positions":[137,355,573,791,1009,1227],"native_values":[635,238,256,18,415,397],"rotation_degrees":37.706422018348626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,238,256,18,415,397],"beta":{"interval_sums":[71363,68782,70555,69685,72919,70493],"interval_residues":[186,217,31,467,436,622],"display_cycle":[186,217,31,467,436,622],"intervals":[{"from_index":137,"to_index":355,"sum":71363,"residue":186},{"from_index":355,"to_index":573,"sum":68782,"residue":217},{"from_index":573,"to_index":791,"sum":70555,"residue":31},{"from_index":791,"to_index":1009,"sum":69685,"residue":467},{"from_index":1009,"to_index":1227,"sum":72919,"residue":436},{"from_index":1227,"to_index":137,"sum":70493,"residue":622}],"minimal_cycle":[186,217,31,467,436,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[137,355],"circle_positions":653,"cycle_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":[138,356,574,792,1010,1228],"clock_positions":[138,356,574,792,1010,1228],"native_values":[198,366,168,455,287,485],"rotation_degrees":37.981651376146786,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[198,366,168,455,287,485],"beta":{"interval_sums":[71403,68672,70405,69645,73029,70643],"interval_residues":[226,107,534,427,546,119],"display_cycle":[226,107,534,427,546,119],"intervals":[{"from_index":138,"to_index":356,"sum":71403,"residue":226},{"from_index":356,"to_index":574,"sum":68672,"residue":107},{"from_index":574,"to_index":792,"sum":70405,"residue":534},{"from_index":792,"to_index":1010,"sum":69645,"residue":427},{"from_index":1010,"to_index":1228,"sum":73029,"residue":546},{"from_index":1228,"to_index":138,"sum":70643,"residue":119}],"minimal_cycle":[226,107,534,427,546,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[138,356],"circle_positions":653,"cycle_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":[139,357,575,793,1011,1229],"clock_positions":[139,357,575,793,1011,1229],"native_values":[180,604,424,473,49,229],"rotation_degrees":38.25688073394495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,604,424,473,49,229],"beta":{"interval_sums":[71589,68236,70436,69459,73465,70612],"interval_residues":[412,324,565,241,329,88],"display_cycle":[412,324,565,241,329,88],"intervals":[{"from_index":139,"to_index":357,"sum":71589,"residue":412},{"from_index":357,"to_index":575,"sum":68236,"residue":324},{"from_index":575,"to_index":793,"sum":70436,"residue":565},{"from_index":793,"to_index":1011,"sum":69459,"residue":241},{"from_index":1011,"to_index":1229,"sum":73465,"residue":329},{"from_index":1229,"to_index":139,"sum":70612,"residue":88}],"minimal_cycle":[412,324,565,241,329,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[139,357],"circle_positions":653,"cycle_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":[140,358,576,794,1012,1230],"clock_positions":[140,358,576,794,1012,1230],"native_values":[378,317,592,275,336,61],"rotation_degrees":38.53211009174312,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,317,592,275,336,61],"beta":{"interval_sums":[71815,68343,70317,69233,73358,70731],"interval_residues":[638,431,446,15,222,207],"display_cycle":[638,431,446,15,222,207],"intervals":[{"from_index":140,"to_index":358,"sum":71815,"residue":638},{"from_index":358,"to_index":576,"sum":68343,"residue":431},{"from_index":576,"to_index":794,"sum":70317,"residue":446},{"from_index":794,"to_index":1012,"sum":69233,"residue":15},{"from_index":1012,"to_index":1230,"sum":73358,"residue":222},{"from_index":1230,"to_index":140,"sum":70731,"residue":207}],"minimal_cycle":[638,431,446,15,222,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[140,358],"circle_positions":653,"cycle_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":[141,359,577,795,1013,1231],"clock_positions":[141,359,577,795,1013,1231],"native_values":[558,268,363,95,385,290],"rotation_degrees":38.80733944954128,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,268,363,95,385,290],"beta":{"interval_sums":[71574,68667,70229,69474,73034,70819],"interval_residues":[397,102,358,256,551,295],"display_cycle":[397,102,358,256,551,295],"intervals":[{"from_index":141,"to_index":359,"sum":71574,"residue":397},{"from_index":359,"to_index":577,"sum":68667,"residue":102},{"from_index":577,"to_index":795,"sum":70229,"residue":358},{"from_index":795,"to_index":1013,"sum":69474,"residue":256},{"from_index":1013,"to_index":1231,"sum":73034,"residue":551},{"from_index":1231,"to_index":141,"sum":70819,"residue":295}],"minimal_cycle":[397,102,358,256,551,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[141,359],"circle_positions":653,"cycle_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":[142,360,578,796,1014,1232],"clock_positions":[142,360,578,796,1014,1232],"native_values":[283,585,302,370,68,351],"rotation_degrees":39.08256880733945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,585,302,370,68,351],"beta":{"interval_sums":[71559,68445,70022,69489,73256,71026],"interval_residues":[382,533,151,271,120,502],"display_cycle":[382,533,151,271,120,502],"intervals":[{"from_index":142,"to_index":360,"sum":71559,"residue":382},{"from_index":360,"to_index":578,"sum":68445,"residue":533},{"from_index":578,"to_index":796,"sum":70022,"residue":151},{"from_index":796,"to_index":1014,"sum":69489,"residue":271},{"from_index":1014,"to_index":1232,"sum":73256,"residue":120},{"from_index":1232,"to_index":142,"sum":71026,"residue":502}],"minimal_cycle":[382,533,151,271,120,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[142,360],"circle_positions":653,"cycle_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":[143,361,579,797,1015,1233],"clock_positions":[143,361,579,797,1015,1233],"native_values":[188,200,12,465,453,641],"rotation_degrees":39.357798165137616,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,200,12,465,453,641],"beta":{"interval_sums":[71956,68547,70380,69092,73154,70668],"interval_residues":[126,635,509,527,18,144],"display_cycle":[126,635,509,527,18,144],"intervals":[{"from_index":143,"to_index":361,"sum":71956,"residue":126},{"from_index":361,"to_index":579,"sum":68547,"residue":635},{"from_index":579,"to_index":797,"sum":70380,"residue":509},{"from_index":797,"to_index":1015,"sum":69092,"residue":527},{"from_index":1015,"to_index":1233,"sum":73154,"residue":18},{"from_index":1233,"to_index":143,"sum":70668,"residue":144}],"minimal_cycle":[126,635,509,527,18,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[143,361],"circle_positions":653,"cycle_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":[144,362,580,798,1016,1234],"clock_positions":[144,362,580,798,1016,1234],"native_values":[471,132,314,182,521,339],"rotation_degrees":39.63302752293578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,132,314,182,521,339],"beta":{"interval_sums":[71685,68427,70531,69363,73274,70517],"interval_residues":[508,515,7,145,138,646],"display_cycle":[508,515,7,145,138,646],"intervals":[{"from_index":144,"to_index":362,"sum":71685,"residue":508},{"from_index":362,"to_index":580,"sum":68427,"residue":515},{"from_index":580,"to_index":798,"sum":70531,"residue":7},{"from_index":798,"to_index":1016,"sum":69363,"residue":145},{"from_index":1016,"to_index":1234,"sum":73274,"residue":138},{"from_index":1234,"to_index":144,"sum":70517,"residue":646}],"minimal_cycle":[508,515,7,145,138,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[144,362],"circle_positions":653,"cycle_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":[145,363,581,799,1017,1235],"clock_positions":[145,363,581,799,1017,1235],"native_values":[6,332,326,647,321,327],"rotation_degrees":39.908256880733944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[6,332,326,647,321,327],"beta":{"interval_sums":[71811,68409,70387,69237,73292,70661],"interval_residues":[634,497,516,19,156,137],"display_cycle":[634,497,516,19,156,137],"intervals":[{"from_index":145,"to_index":363,"sum":71811,"residue":634},{"from_index":363,"to_index":581,"sum":68409,"residue":497},{"from_index":581,"to_index":799,"sum":70387,"residue":516},{"from_index":799,"to_index":1017,"sum":69237,"residue":19},{"from_index":1017,"to_index":1235,"sum":73292,"residue":156},{"from_index":1235,"to_index":145,"sum":70661,"residue":137}],"minimal_cycle":[634,497,516,19,156,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[145,363],"circle_positions":653,"cycle_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":[146,364,582,800,1018,1236],"clock_positions":[146,364,582,800,1018,1236],"native_values":[477,464,640,176,189,13],"rotation_degrees":40.18348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,464,640,176,189,13],"beta":{"interval_sums":[71666,68271,70394,69382,73430,70654],"interval_residues":[489,359,523,164,294,130],"display_cycle":[489,359,523,164,294,130],"intervals":[{"from_index":146,"to_index":364,"sum":71666,"residue":489},{"from_index":364,"to_index":582,"sum":68271,"residue":359},{"from_index":582,"to_index":800,"sum":70394,"residue":523},{"from_index":800,"to_index":1018,"sum":69382,"residue":164},{"from_index":1018,"to_index":1236,"sum":73430,"residue":294},{"from_index":1236,"to_index":146,"sum":70654,"residue":130}],"minimal_cycle":[489,359,523,164,294,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":489,"start_interval_clock_positions":[146,364],"circle_positions":653,"cycle_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":[147,365,583,801,1019,1237],"clock_positions":[147,365,583,801,1019,1237],"native_values":[483,143,313,170,510,340],"rotation_degrees":40.45871559633027,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,143,313,170,510,340],"beta":{"interval_sums":[71647,68768,70257,69401,72933,70791],"interval_residues":[470,203,386,183,450,267],"display_cycle":[470,203,386,183,450,267],"intervals":[{"from_index":147,"to_index":365,"sum":71647,"residue":470},{"from_index":365,"to_index":583,"sum":68768,"residue":203},{"from_index":583,"to_index":801,"sum":70257,"residue":386},{"from_index":801,"to_index":1019,"sum":69401,"residue":183},{"from_index":1019,"to_index":1237,"sum":72933,"residue":450},{"from_index":1237,"to_index":147,"sum":70791,"residue":267}],"minimal_cycle":[470,203,386,183,450,267],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[147,365],"circle_positions":653,"cycle_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":[148,366,584,802,1020,1238],"clock_positions":[148,366,584,802,1020,1238],"native_values":[307,607,300,346,46,353],"rotation_degrees":40.73394495412844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,607,300,346,46,353],"beta":{"interval_sums":[71483,68474,70127,69565,73227,70921],"interval_residues":[306,562,256,347,91,397],"display_cycle":[306,562,256,347,91,397],"intervals":[{"from_index":148,"to_index":366,"sum":71483,"residue":306},{"from_index":366,"to_index":584,"sum":68474,"residue":562},{"from_index":584,"to_index":802,"sum":70127,"residue":256},{"from_index":802,"to_index":1020,"sum":69565,"residue":347},{"from_index":1020,"to_index":1238,"sum":73227,"residue":91},{"from_index":1238,"to_index":148,"sum":70921,"residue":397}],"minimal_cycle":[306,562,256,347,91,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[148,366],"circle_positions":653,"cycle_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":[149,367,585,803,1021,1239],"clock_positions":[149,367,585,803,1021,1239],"native_values":[137,97,613,516,556,40],"rotation_degrees":41.00917431192661,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,97,613,516,556,40],"beta":{"interval_sums":[71953,68677,69860,69095,73024,71188],"interval_residues":[123,112,642,530,541,11],"display_cycle":[123,112,642,530,541,11],"intervals":[{"from_index":149,"to_index":367,"sum":71953,"residue":123},{"from_index":367,"to_index":585,"sum":68677,"residue":112},{"from_index":585,"to_index":803,"sum":69860,"residue":642},{"from_index":803,"to_index":1021,"sum":69095,"residue":530},{"from_index":1021,"to_index":1239,"sum":73024,"residue":541},{"from_index":1239,"to_index":149,"sum":71188,"residue":11}],"minimal_cycle":[123,112,642,530,541,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[149,367],"circle_positions":653,"cycle_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":[150,368,586,804,1022,1240],"clock_positions":[150,368,586,804,1022,1240],"native_values":[444,51,260,209,602,393],"rotation_degrees":41.28440366972477,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,51,260,209,602,393],"beta":{"interval_sums":[71606,69239,70116,69442,72462,70932],"interval_residues":[429,21,245,224,632,408],"display_cycle":[429,21,245,224,632,408],"intervals":[{"from_index":150,"to_index":368,"sum":71606,"residue":429},{"from_index":368,"to_index":586,"sum":69239,"residue":21},{"from_index":586,"to_index":804,"sum":70116,"residue":245},{"from_index":804,"to_index":1022,"sum":69442,"residue":224},{"from_index":1022,"to_index":1240,"sum":72462,"residue":632},{"from_index":1240,"to_index":150,"sum":70932,"residue":408}],"minimal_cycle":[429,21,245,224,632,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[150,368],"circle_positions":653,"cycle_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":[151,369,587,805,1023,1241],"clock_positions":[151,369,587,805,1023,1241],"native_values":[581,148,220,72,505,433],"rotation_degrees":41.559633027522935,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,148,220,72,505,433],"beta":{"interval_sums":[71076,69351,70105,69972,72350,70943],"interval_residues":[552,133,234,101,520,419],"display_cycle":[552,133,234,101,520,419],"intervals":[{"from_index":151,"to_index":369,"sum":71076,"residue":552},{"from_index":369,"to_index":587,"sum":69351,"residue":133},{"from_index":587,"to_index":805,"sum":70105,"residue":234},{"from_index":805,"to_index":1023,"sum":69972,"residue":101},{"from_index":1023,"to_index":1241,"sum":72350,"residue":520},{"from_index":1241,"to_index":151,"sum":70943,"residue":419}],"minimal_cycle":[552,133,234,101,520,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[151,369],"circle_positions":653,"cycle_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":[152,370,588,806,1024,1242],"clock_positions":[152,370,588,806,1024,1242],"native_values":[372,199,480,281,454,173],"rotation_degrees":41.8348623853211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,199,480,281,454,173],"beta":{"interval_sums":[70852,69372,69697,70196,72329,71351],"interval_residues":[328,154,479,325,499,174],"display_cycle":[328,154,479,325,499,174],"intervals":[{"from_index":152,"to_index":370,"sum":70852,"residue":328},{"from_index":370,"to_index":588,"sum":69372,"residue":154},{"from_index":588,"to_index":806,"sum":69697,"residue":479},{"from_index":806,"to_index":1024,"sum":70196,"residue":325},{"from_index":1024,"to_index":1242,"sum":72329,"residue":499},{"from_index":1242,"to_index":152,"sum":71351,"residue":174}],"minimal_cycle":[328,154,479,325,499,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[152,370],"circle_positions":653,"cycle_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":[153,371,589,807,1025,1243],"clock_positions":[153,371,589,807,1025,1243],"native_values":[300,347,47,353,306,606],"rotation_degrees":42.11009174311926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,347,47,353,306,606],"beta":{"interval_sums":[70751,69505,69931,70297,72196,71117],"interval_residues":[227,287,60,426,366,593],"display_cycle":[227,287,60,426,366,593],"intervals":[{"from_index":153,"to_index":371,"sum":70751,"residue":227},{"from_index":371,"to_index":589,"sum":69505,"residue":287},{"from_index":589,"to_index":807,"sum":69931,"residue":60},{"from_index":807,"to_index":1025,"sum":70297,"residue":426},{"from_index":1025,"to_index":1243,"sum":72196,"residue":366},{"from_index":1243,"to_index":153,"sum":71117,"residue":593}],"minimal_cycle":[227,287,60,426,366,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[153,371],"circle_positions":653,"cycle_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":[154,372,590,808,1026,1244],"clock_positions":[154,372,590,808,1026,1244],"native_values":[19,546,527,634,107,126],"rotation_degrees":42.38532110091743,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,546,527,634,107,126],"beta":{"interval_sums":[71079,69006,69757,69969,72695,71291],"interval_residues":[555,441,539,98,212,114],"display_cycle":[555,441,539,98,212,114],"intervals":[{"from_index":154,"to_index":372,"sum":71079,"residue":555},{"from_index":372,"to_index":590,"sum":69006,"residue":441},{"from_index":590,"to_index":808,"sum":69757,"residue":539},{"from_index":808,"to_index":1026,"sum":69969,"residue":98},{"from_index":1026,"to_index":1244,"sum":72695,"residue":212},{"from_index":1244,"to_index":154,"sum":71291,"residue":114}],"minimal_cycle":[555,441,539,98,212,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":555,"start_interval_clock_positions":[154,372],"circle_positions":653,"cycle_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":[155,373,591,809,1027,1245],"clock_positions":[155,373,591,809,1027,1245],"native_values":[319,240,574,334,413,79],"rotation_degrees":42.6605504587156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,240,574,334,413,79],"beta":{"interval_sums":[71306,69293,69817,69742,72408,71231],"interval_residues":[129,75,599,524,578,54],"display_cycle":[129,75,599,524,578,54],"intervals":[{"from_index":155,"to_index":373,"sum":71306,"residue":129},{"from_index":373,"to_index":591,"sum":69293,"residue":75},{"from_index":591,"to_index":809,"sum":69817,"residue":599},{"from_index":809,"to_index":1027,"sum":69742,"residue":524},{"from_index":1027,"to_index":1245,"sum":72408,"residue":578},{"from_index":1245,"to_index":155,"sum":71231,"residue":54}],"minimal_cycle":[129,75,599,524,578,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[155,373],"circle_positions":653,"cycle_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":[156,374,592,810,1028,1246],"clock_positions":[156,374,592,810,1028,1246],"native_values":[338,133,448,315,520,205],"rotation_degrees":42.93577981651376,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,133,448,315,520,205],"beta":{"interval_sums":[71208,69734,69703,69840,71967,71345],"interval_residues":[31,516,485,622,137,168],"display_cycle":[31,516,485,622,137,168],"intervals":[{"from_index":156,"to_index":374,"sum":71208,"residue":31},{"from_index":374,"to_index":592,"sum":69734,"residue":516},{"from_index":592,"to_index":810,"sum":69703,"residue":485},{"from_index":810,"to_index":1028,"sum":69840,"residue":622},{"from_index":1028,"to_index":1246,"sum":71967,"residue":137},{"from_index":1246,"to_index":156,"sum":71345,"residue":168}],"minimal_cycle":[31,516,485,622,137,168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[156,374],"circle_positions":653,"cycle_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":[157,375,593,811,1029,1247],"clock_positions":[157,375,593,811,1029,1247],"native_values":[4,373,369,649,280,284],"rotation_degrees":43.211009174311926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,373,369,649,280,284],"beta":{"interval_sums":[71337,69809,69649,69711,71892,71399],"interval_residues":[160,591,431,493,62,222],"display_cycle":[160,591,431,493,62,222],"intervals":[{"from_index":157,"to_index":375,"sum":71337,"residue":160},{"from_index":375,"to_index":593,"sum":69809,"residue":591},{"from_index":593,"to_index":811,"sum":69649,"residue":431},{"from_index":811,"to_index":1029,"sum":69711,"residue":493},{"from_index":1029,"to_index":1247,"sum":71892,"residue":62},{"from_index":1247,"to_index":157,"sum":71399,"residue":222}],"minimal_cycle":[160,591,431,493,62,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[157,375],"circle_positions":653,"cycle_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":[158,376,594,812,1030,1248],"clock_positions":[158,376,594,812,1030,1248],"native_values":[342,506,164,311,147,489],"rotation_degrees":43.48623853211009,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[342,506,164,311,147,489],"beta":{"interval_sums":[71368,69672,70134,69680,72029,70914],"interval_residues":[191,454,263,462,199,390],"display_cycle":[191,454,263,462,199,390],"intervals":[{"from_index":158,"to_index":376,"sum":71368,"residue":191},{"from_index":376,"to_index":594,"sum":69672,"residue":454},{"from_index":594,"to_index":812,"sum":70134,"residue":263},{"from_index":812,"to_index":1030,"sum":69680,"residue":462},{"from_index":1030,"to_index":1248,"sum":72029,"residue":199},{"from_index":1248,"to_index":158,"sum":70914,"residue":390}],"minimal_cycle":[191,454,263,462,199,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[158,376],"circle_positions":653,"cycle_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":[159,377,595,813,1031,1249],"clock_positions":[159,377,595,813,1031,1249],"native_values":[346,226,533,307,427,120],"rotation_degrees":43.76146788990825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,226,533,307,427,120],"beta":{"interval_sums":[71528,69610,69912,69520,72091,71136],"interval_residues":[351,392,41,302,261,612],"display_cycle":[351,392,41,302,261,612],"intervals":[{"from_index":159,"to_index":377,"sum":71528,"residue":351},{"from_index":377,"to_index":595,"sum":69610,"residue":392},{"from_index":595,"to_index":813,"sum":69912,"residue":41},{"from_index":813,"to_index":1031,"sum":69520,"residue":302},{"from_index":1031,"to_index":1249,"sum":72091,"residue":261},{"from_index":1249,"to_index":159,"sum":71136,"residue":612}],"minimal_cycle":[351,392,41,302,261,612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":351,"start_interval_clock_positions":[159,377],"circle_positions":653,"cycle_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":[160,378,596,814,1032,1250],"clock_positions":[160,378,596,814,1032,1250],"native_values":[35,79,44,618,574,609],"rotation_degrees":44.03669724770642,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,79,44,618,574,609],"beta":{"interval_sums":[71719,70064,70175,69329,71637,70873],"interval_residues":[542,193,304,111,460,349],"display_cycle":[542,193,304,111,460,349],"intervals":[{"from_index":160,"to_index":378,"sum":71719,"residue":542},{"from_index":378,"to_index":596,"sum":70064,"residue":193},{"from_index":596,"to_index":814,"sum":70175,"residue":304},{"from_index":814,"to_index":1032,"sum":69329,"residue":111},{"from_index":1032,"to_index":1250,"sum":71637,"residue":460},{"from_index":1250,"to_index":160,"sum":70873,"residue":349}],"minimal_cycle":[542,193,304,111,460,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[160,378],"circle_positions":653,"cycle_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":[161,379,597,815,1033,1251],"clock_positions":[161,379,597,815,1033,1251],"native_values":[381,305,577,272,348,76],"rotation_degrees":44.31192660550459,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,305,577,272,348,76],"beta":{"interval_sums":[71417,69803,70216,69631,71898,70832],"interval_residues":[240,585,345,413,68,308],"display_cycle":[240,585,345,413,68,308],"intervals":[{"from_index":161,"to_index":379,"sum":71417,"residue":240},{"from_index":379,"to_index":597,"sum":69803,"residue":585},{"from_index":597,"to_index":815,"sum":70216,"residue":345},{"from_index":815,"to_index":1033,"sum":69631,"residue":413},{"from_index":1033,"to_index":1251,"sum":71898,"residue":68},{"from_index":1251,"to_index":161,"sum":70832,"residue":308}],"minimal_cycle":[240,585,345,413,68,308],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[161,379],"circle_positions":653,"cycle_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":[162,380,598,816,1034,1252],"clock_positions":[162,380,598,816,1034,1252],"native_values":[416,384,621,237,269,32],"rotation_degrees":44.58715596330275,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,384,621,237,269,32],"beta":{"interval_sums":[71306,69996,69867,69742,71705,71181],"interval_residues":[129,125,649,524,528,4],"display_cycle":[129,125,649,524,528,4],"intervals":[{"from_index":162,"to_index":380,"sum":71306,"residue":129},{"from_index":380,"to_index":598,"sum":69996,"residue":125},{"from_index":598,"to_index":816,"sum":69867,"residue":649},{"from_index":816,"to_index":1034,"sum":69742,"residue":524},{"from_index":1034,"to_index":1252,"sum":71705,"residue":528},{"from_index":1252,"to_index":162,"sum":71181,"residue":4}],"minimal_cycle":[129,125,649,524,528,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[162,380],"circle_positions":653,"cycle_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":[163,381,599,817,1035,1253],"clock_positions":[163,381,599,817,1035,1253],"native_values":[144,36,545,509,617,108],"rotation_degrees":44.862385321100916,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,36,545,509,617,108],"beta":{"interval_sums":[71546,70581,69559,69502,71120,71489],"interval_residues":[369,57,341,284,596,312],"display_cycle":[369,57,341,284,596,312],"intervals":[{"from_index":163,"to_index":381,"sum":71546,"residue":369},{"from_index":381,"to_index":599,"sum":70581,"residue":57},{"from_index":599,"to_index":817,"sum":69559,"residue":341},{"from_index":817,"to_index":1035,"sum":69502,"residue":284},{"from_index":1035,"to_index":1253,"sum":71120,"residue":596},{"from_index":1253,"to_index":163,"sum":71489,"residue":312}],"minimal_cycle":[369,57,341,284,596,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":369,"start_interval_clock_positions":[163,381],"circle_positions":653,"cycle_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":[164,382,600,818,1036,1254],"clock_positions":[164,382,600,818,1036,1254],"native_values":[560,420,513,93,233,140],"rotation_degrees":45.137614678899084,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,420,513,93,233,140],"beta":{"interval_sums":[71022,70706,69555,70026,70995,71493],"interval_residues":[498,182,337,155,471,316],"display_cycle":[498,182,337,155,471,316],"intervals":[{"from_index":164,"to_index":382,"sum":71022,"residue":498},{"from_index":382,"to_index":600,"sum":70706,"residue":182},{"from_index":600,"to_index":818,"sum":69555,"residue":337},{"from_index":818,"to_index":1036,"sum":70026,"residue":155},{"from_index":1036,"to_index":1254,"sum":70995,"residue":471},{"from_index":1254,"to_index":164,"sum":71493,"residue":316}],"minimal_cycle":[498,182,337,155,471,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[164,382],"circle_positions":653,"cycle_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":[165,383,601,819,1037,1255],"clock_positions":[165,383,601,819,1037,1255],"native_values":[51,456,405,602,197,248],"rotation_degrees":45.41284403669725,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,456,405,602,197,248],"beta":{"interval_sums":[71391,70763,69243,69657,70938,71805],"interval_residues":[214,239,25,439,414,628],"display_cycle":[214,239,25,439,414,628],"intervals":[{"from_index":165,"to_index":383,"sum":71391,"residue":214},{"from_index":383,"to_index":601,"sum":70763,"residue":239},{"from_index":601,"to_index":819,"sum":69243,"residue":25},{"from_index":819,"to_index":1037,"sum":69657,"residue":439},{"from_index":1037,"to_index":1255,"sum":70938,"residue":414},{"from_index":1255,"to_index":165,"sum":71805,"residue":628}],"minimal_cycle":[214,239,25,439,414,628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[165,383],"circle_positions":653,"cycle_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":[166,384,602,820,1038,1256],"clock_positions":[166,384,602,820,1038,1256],"native_values":[611,223,265,42,430,388],"rotation_degrees":45.68807339449541,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,223,265,42,430,388],"beta":{"interval_sums":[71236,70945,69580,69812,70756,71468],"interval_residues":[59,421,362,594,232,291],"display_cycle":[59,421,362,594,232,291],"intervals":[{"from_index":166,"to_index":384,"sum":71236,"residue":59},{"from_index":384,"to_index":602,"sum":70945,"residue":421},{"from_index":602,"to_index":820,"sum":69580,"residue":362},{"from_index":820,"to_index":1038,"sum":69812,"residue":594},{"from_index":1038,"to_index":1256,"sum":70756,"residue":232},{"from_index":1256,"to_index":166,"sum":71468,"residue":291}],"minimal_cycle":[59,421,362,594,232,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":59,"start_interval_clock_positions":[166,384],"circle_positions":653,"cycle_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":[167,385,603,821,1039,1257],"clock_positions":[167,385,603,821,1039,1257],"native_values":[9,26,17,644,627,636],"rotation_degrees":45.96330275229358,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,26,17,644,627,636],"beta":{"interval_sums":[71450,71184,69605,69598,70517,71443],"interval_residues":[273,7,387,380,646,266],"display_cycle":[273,7,387,380,646,266],"intervals":[{"from_index":167,"to_index":385,"sum":71450,"residue":273},{"from_index":385,"to_index":603,"sum":71184,"residue":7},{"from_index":603,"to_index":821,"sum":69605,"residue":387},{"from_index":821,"to_index":1039,"sum":69598,"residue":380},{"from_index":1039,"to_index":1257,"sum":70517,"residue":646},{"from_index":1257,"to_index":167,"sum":71443,"residue":266}],"minimal_cycle":[273,7,387,380,646,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[167,385],"circle_positions":653,"cycle_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":[168,386,604,822,1040,1258],"clock_positions":[168,386,604,822,1040,1258],"native_values":[620,249,282,33,404,371],"rotation_degrees":46.23853211009175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[620,249,282,33,404,371],"beta":{"interval_sums":[70856,70952,69967,70192,70749,71081],"interval_residues":[332,428,96,321,225,557],"display_cycle":[332,428,96,321,225,557],"intervals":[{"from_index":168,"to_index":386,"sum":70856,"residue":332},{"from_index":386,"to_index":604,"sum":70952,"residue":428},{"from_index":604,"to_index":822,"sum":69967,"residue":96},{"from_index":822,"to_index":1040,"sum":70192,"residue":321},{"from_index":1040,"to_index":1258,"sum":70749,"residue":225},{"from_index":1258,"to_index":168,"sum":71081,"residue":557}],"minimal_cycle":[332,428,96,321,225,557],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[168,386],"circle_positions":653,"cycle_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":[169,387,605,823,1041,1259],"clock_positions":[169,387,605,823,1041,1259],"native_values":[629,275,299,24,378,354],"rotation_degrees":46.51376146788991,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,275,299,24,378,354],"beta":{"interval_sums":[70476,70959,69701,70572,70742,71347],"interval_residues":[605,435,483,48,218,170],"display_cycle":[605,435,483,48,218,170],"intervals":[{"from_index":169,"to_index":387,"sum":70476,"residue":605},{"from_index":387,"to_index":605,"sum":70959,"residue":435},{"from_index":605,"to_index":823,"sum":69701,"residue":483},{"from_index":823,"to_index":1041,"sum":70572,"residue":48},{"from_index":1041,"to_index":1259,"sum":70742,"residue":218},{"from_index":1259,"to_index":169,"sum":71347,"residue":170}],"minimal_cycle":[605,435,483,48,218,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":605,"start_interval_clock_positions":[169,387],"circle_positions":653,"cycle_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":[170,388,606,824,1042,1260],"clock_positions":[170,388,606,824,1042,1260],"native_values":[596,524,581,57,129,72],"rotation_degrees":46.788990825688074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,524,581,57,129,72],"beta":{"interval_sums":[70155,70734,69144,70893,70967,71904],"interval_residues":[284,210,579,369,443,74],"display_cycle":[284,210,579,369,443,74],"intervals":[{"from_index":170,"to_index":388,"sum":70155,"residue":284},{"from_index":388,"to_index":606,"sum":70734,"residue":210},{"from_index":606,"to_index":824,"sum":69144,"residue":579},{"from_index":824,"to_index":1042,"sum":70893,"residue":369},{"from_index":1042,"to_index":1260,"sum":70967,"residue":443},{"from_index":1260,"to_index":170,"sum":71904,"residue":74}],"minimal_cycle":[284,210,579,369,443,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[170,388],"circle_positions":653,"cycle_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":[171,389,607,825,1043,1261],"clock_positions":[171,389,607,825,1043,1261],"native_values":[572,146,227,81,507,426],"rotation_degrees":47.06422018348624,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[572,146,227,81,507,426],"beta":{"interval_sums":[70107,71169,68974,70941,70532,72074],"interval_residues":[236,645,409,417,8,244],"display_cycle":[236,645,409,417,8,244],"intervals":[{"from_index":171,"to_index":389,"sum":70107,"residue":236},{"from_index":389,"to_index":607,"sum":71169,"residue":645},{"from_index":607,"to_index":825,"sum":68974,"residue":409},{"from_index":825,"to_index":1043,"sum":70941,"residue":417},{"from_index":1043,"to_index":1261,"sum":70532,"residue":8},{"from_index":1261,"to_index":171,"sum":72074,"residue":244}],"minimal_cycle":[236,645,409,417,8,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[171,389],"circle_positions":653,"cycle_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":[172,390,608,826,1044,1262],"clock_positions":[172,390,608,826,1044,1262],"native_values":[515,17,155,138,636,498],"rotation_degrees":47.3394495412844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,17,155,138,636,498],"beta":{"interval_sums":[69738,71379,68900,71310,70322,72148],"interval_residues":[520,202,335,133,451,318],"display_cycle":[520,202,335,133,451,318],"intervals":[{"from_index":172,"to_index":390,"sum":69738,"residue":520},{"from_index":390,"to_index":608,"sum":71379,"residue":202},{"from_index":608,"to_index":826,"sum":68900,"residue":335},{"from_index":826,"to_index":1044,"sum":71310,"residue":133},{"from_index":1044,"to_index":1262,"sum":70322,"residue":451},{"from_index":1262,"to_index":172,"sum":72148,"residue":318}],"minimal_cycle":[520,202,335,133,451,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[172,390],"circle_positions":653,"cycle_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":[173,391,609,827,1045,1263],"clock_positions":[173,391,609,827,1045,1263],"native_values":[434,163,382,219,490,271],"rotation_degrees":47.61467889908257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,163,382,219,490,271],"beta":{"interval_sums":[69321,71371,68656,71727,70330,72392],"interval_residues":[103,194,91,550,459,562],"display_cycle":[103,194,91,550,459,562],"intervals":[{"from_index":173,"to_index":391,"sum":69321,"residue":103},{"from_index":391,"to_index":609,"sum":71371,"residue":194},{"from_index":609,"to_index":827,"sum":68656,"residue":91},{"from_index":827,"to_index":1045,"sum":71727,"residue":550},{"from_index":1045,"to_index":1263,"sum":70330,"residue":459},{"from_index":1263,"to_index":173,"sum":72392,"residue":562}],"minimal_cycle":[103,194,91,550,459,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":103,"start_interval_clock_positions":[173,391],"circle_positions":653,"cycle_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":[174,392,610,828,1046,1264],"clock_positions":[174,392,610,828,1046,1264],"native_values":[296,180,537,357,473,116],"rotation_degrees":47.88990825688074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,180,537,357,473,116],"beta":{"interval_sums":[69188,71573,68338,71860,70128,72710],"interval_residues":[623,396,426,30,257,227],"display_cycle":[623,396,426,30,257,227],"intervals":[{"from_index":174,"to_index":392,"sum":69188,"residue":623},{"from_index":392,"to_index":610,"sum":71573,"residue":396},{"from_index":610,"to_index":828,"sum":68338,"residue":426},{"from_index":828,"to_index":1046,"sum":71860,"residue":30},{"from_index":1046,"to_index":1264,"sum":70128,"residue":257},{"from_index":1264,"to_index":174,"sum":72710,"residue":227}],"minimal_cycle":[623,396,426,30,257,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[174,392],"circle_positions":653,"cycle_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":[175,393,611,829,1047,1265],"clock_positions":[175,393,611,829,1047,1265],"native_values":[77,343,266,576,310,387],"rotation_degrees":48.1651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,343,266,576,310,387],"beta":{"interval_sums":[69291,71767,68429,71757,69934,72619],"interval_residues":[73,590,517,580,63,136],"display_cycle":[73,590,517,580,63,136],"intervals":[{"from_index":175,"to_index":393,"sum":69291,"residue":73},{"from_index":393,"to_index":611,"sum":71767,"residue":590},{"from_index":611,"to_index":829,"sum":68429,"residue":517},{"from_index":829,"to_index":1047,"sum":71757,"residue":580},{"from_index":1047,"to_index":1265,"sum":69934,"residue":63},{"from_index":1265,"to_index":175,"sum":72619,"residue":136}],"minimal_cycle":[73,590,517,580,63,136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[175,393],"circle_positions":653,"cycle_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":[176,394,612,830,1048,1266],"clock_positions":[176,394,612,830,1048,1266],"native_values":[373,523,150,280,130,503],"rotation_degrees":48.440366972477065,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,523,150,280,130,503],"beta":{"interval_sums":[69261,71510,68855,71787,70191,72193],"interval_residues":[43,333,290,610,320,363],"display_cycle":[43,333,290,610,320,363],"intervals":[{"from_index":176,"to_index":394,"sum":69261,"residue":43},{"from_index":394,"to_index":612,"sum":71510,"residue":333},{"from_index":612,"to_index":830,"sum":68855,"residue":290},{"from_index":830,"to_index":1048,"sum":71787,"residue":610},{"from_index":1048,"to_index":1266,"sum":70191,"residue":320},{"from_index":1266,"to_index":176,"sum":72193,"residue":363}],"minimal_cycle":[43,333,290,610,320,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[176,394],"circle_positions":653,"cycle_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":[177,395,613,831,1049,1267],"clock_positions":[177,395,613,831,1049,1267],"native_values":[450,213,416,203,440,237],"rotation_degrees":48.71559633027523,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,213,416,203,440,237],"beta":{"interval_sums":[69334,71447,68719,71714,70254,72329],"interval_residues":[116,270,154,537,383,499],"display_cycle":[116,270,154,537,383,499],"intervals":[{"from_index":177,"to_index":395,"sum":69334,"residue":116},{"from_index":395,"to_index":613,"sum":71447,"residue":270},{"from_index":613,"to_index":831,"sum":68719,"residue":154},{"from_index":831,"to_index":1049,"sum":71714,"residue":537},{"from_index":1049,"to_index":1267,"sum":70254,"residue":383},{"from_index":1267,"to_index":177,"sum":72329,"residue":499}],"minimal_cycle":[116,270,154,537,383,499],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[177,395],"circle_positions":653,"cycle_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":[178,396,614,832,1050,1268],"clock_positions":[178,396,614,832,1050,1268],"native_values":[170,83,566,483,570,87],"rotation_degrees":48.99082568807339,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,83,566,483,570,87],"beta":{"interval_sums":[69377,71780,68356,71671,69921,72692],"interval_residues":[159,603,444,494,50,209],"display_cycle":[159,603,444,494,50,209],"intervals":[{"from_index":178,"to_index":396,"sum":69377,"residue":159},{"from_index":396,"to_index":614,"sum":71780,"residue":603},{"from_index":614,"to_index":832,"sum":68356,"residue":444},{"from_index":832,"to_index":1050,"sum":71671,"residue":494},{"from_index":1050,"to_index":1268,"sum":69921,"residue":50},{"from_index":1268,"to_index":178,"sum":72692,"residue":209}],"minimal_cycle":[159,603,444,494,50,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[178,396],"circle_positions":653,"cycle_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":[179,397,615,833,1051,1269],"clock_positions":[179,397,615,833,1051,1269],"native_values":[620,296,329,33,357,324],"rotation_degrees":49.26605504587156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[620,296,329,33,357,324],"beta":{"interval_sums":[68840,72050,68510,72208,69651,72538],"interval_residues":[275,220,598,378,433,55],"display_cycle":[275,220,598,378,433,55],"intervals":[{"from_index":179,"to_index":397,"sum":68840,"residue":275},{"from_index":397,"to_index":615,"sum":72050,"residue":220},{"from_index":615,"to_index":833,"sum":68510,"residue":598},{"from_index":833,"to_index":1051,"sum":72208,"residue":378},{"from_index":1051,"to_index":1269,"sum":69651,"residue":433},{"from_index":1269,"to_index":179,"sum":72538,"residue":55}],"minimal_cycle":[275,220,598,378,433,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[179,397],"circle_positions":653,"cycle_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":[180,398,616,834,1052,1270],"clock_positions":[180,398,616,834,1052,1270],"native_values":[137,379,242,516,274,411],"rotation_degrees":49.54128440366973,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,379,242,516,274,411],"beta":{"interval_sums":[68999,72000,68301,72049,69701,72747],"interval_residues":[434,170,389,219,483,264],"display_cycle":[434,170,389,219,483,264],"intervals":[{"from_index":180,"to_index":398,"sum":68999,"residue":434},{"from_index":398,"to_index":616,"sum":72000,"residue":170},{"from_index":616,"to_index":834,"sum":68301,"residue":389},{"from_index":834,"to_index":1052,"sum":72049,"residue":219},{"from_index":1052,"to_index":1270,"sum":69701,"residue":483},{"from_index":1270,"to_index":180,"sum":72747,"residue":264}],"minimal_cycle":[434,170,389,219,483,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[180,398],"circle_positions":653,"cycle_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":[181,399,617,835,1053,1271],"clock_positions":[181,399,617,835,1053,1271],"native_values":[104,22,571,549,631,82],"rotation_degrees":49.81651376146789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,22,571,549,631,82],"beta":{"interval_sums":[69274,72220,68246,71774,69481,72802],"interval_residues":[56,390,334,597,263,319],"display_cycle":[56,390,334,597,263,319],"intervals":[{"from_index":181,"to_index":399,"sum":69274,"residue":56},{"from_index":399,"to_index":617,"sum":72220,"residue":390},{"from_index":617,"to_index":835,"sum":68246,"residue":334},{"from_index":835,"to_index":1053,"sum":71774,"residue":597},{"from_index":1053,"to_index":1271,"sum":69481,"residue":263},{"from_index":1271,"to_index":181,"sum":72802,"residue":319}],"minimal_cycle":[56,390,334,597,263,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[181,399],"circle_positions":653,"cycle_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":[182,400,618,836,1054,1272],"clock_positions":[182,400,618,836,1054,1272],"native_values":[241,401,160,412,252,493],"rotation_degrees":50.091743119266056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,401,160,412,252,493],"beta":{"interval_sums":[69055,72390,68635,71993,69311,72413],"interval_residues":[490,560,70,163,93,583],"display_cycle":[490,560,70,163,93,583],"intervals":[{"from_index":182,"to_index":400,"sum":69055,"residue":490},{"from_index":400,"to_index":618,"sum":72390,"residue":560},{"from_index":618,"to_index":836,"sum":68635,"residue":70},{"from_index":836,"to_index":1054,"sum":71993,"residue":163},{"from_index":1054,"to_index":1272,"sum":69311,"residue":93},{"from_index":1272,"to_index":182,"sum":72413,"residue":583}],"minimal_cycle":[490,560,70,163,93,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[182,400],"circle_positions":653,"cycle_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":[183,401,619,837,1055,1273],"clock_positions":[183,401,619,837,1055,1273],"native_values":[345,423,78,308,230,575],"rotation_degrees":50.36697247706422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,423,78,308,230,575],"beta":{"interval_sums":[69111,72127,68969,71937,69574,72079],"interval_residues":[546,297,404,107,356,249],"display_cycle":[546,297,404,107,356,249],"intervals":[{"from_index":183,"to_index":401,"sum":69111,"residue":546},{"from_index":401,"to_index":619,"sum":72127,"residue":297},{"from_index":619,"to_index":837,"sum":68969,"residue":404},{"from_index":837,"to_index":1055,"sum":71937,"residue":107},{"from_index":1055,"to_index":1273,"sum":69574,"residue":356},{"from_index":1273,"to_index":183,"sum":72079,"residue":249}],"minimal_cycle":[546,297,404,107,356,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[183,401],"circle_positions":653,"cycle_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":[184,402,620,838,1056,1274],"clock_positions":[184,402,620,838,1056,1274],"native_values":[586,171,238,67,482,415],"rotation_degrees":50.642201834862384,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,171,238,67,482,415],"beta":{"interval_sums":[68948,72034,69039,72100,69667,72009],"interval_residues":[383,204,474,270,449,179],"display_cycle":[383,204,474,270,449,179],"intervals":[{"from_index":184,"to_index":402,"sum":68948,"residue":383},{"from_index":402,"to_index":620,"sum":72034,"residue":204},{"from_index":620,"to_index":838,"sum":69039,"residue":474},{"from_index":838,"to_index":1056,"sum":72100,"residue":270},{"from_index":1056,"to_index":1274,"sum":69667,"residue":449},{"from_index":1274,"to_index":184,"sum":72009,"residue":179}],"minimal_cycle":[383,204,474,270,449,179],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[184,402],"circle_positions":653,"cycle_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":[185,403,621,839,1057,1275],"clock_positions":[185,403,621,839,1057,1275],"native_values":[278,594,316,375,59,337],"rotation_degrees":50.91743119266055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,594,316,375,59,337],"beta":{"interval_sums":[68841,71678,68790,72207,70023,72258],"interval_residues":[276,501,225,377,152,428],"display_cycle":[276,501,225,377,152,428],"intervals":[{"from_index":185,"to_index":403,"sum":68841,"residue":276},{"from_index":403,"to_index":621,"sum":71678,"residue":501},{"from_index":621,"to_index":839,"sum":68790,"residue":225},{"from_index":839,"to_index":1057,"sum":72207,"residue":377},{"from_index":1057,"to_index":1275,"sum":70023,"residue":152},{"from_index":1275,"to_index":185,"sum":72258,"residue":428}],"minimal_cycle":[276,501,225,377,152,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[185,403],"circle_positions":653,"cycle_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":[186,404,622,840,1058,1276],"clock_positions":[186,404,622,840,1058,1276],"native_values":[211,112,554,442,541,99],"rotation_degrees":51.19266055045872,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,112,554,442,541,99],"beta":{"interval_sums":[69224,71882,68611,71824,69819,72437],"interval_residues":[6,52,46,647,601,607],"display_cycle":[6,52,46,647,601,607],"intervals":[{"from_index":186,"to_index":404,"sum":69224,"residue":6},{"from_index":404,"to_index":622,"sum":71882,"residue":52},{"from_index":622,"to_index":840,"sum":68611,"residue":46},{"from_index":840,"to_index":1058,"sum":71824,"residue":647},{"from_index":1058,"to_index":1276,"sum":69819,"residue":601},{"from_index":1276,"to_index":186,"sum":72437,"residue":607}],"minimal_cycle":[6,52,46,647,601,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[186,404],"circle_positions":653,"cycle_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":[187,405,623,841,1059,1277],"clock_positions":[187,405,623,841,1059,1277],"native_values":[489,53,217,164,600,436],"rotation_degrees":51.46788990825688,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[489,53,217,164,600,436],"beta":{"interval_sums":[68847,72383,68836,72201,69318,72212],"interval_residues":[282,553,271,371,100,382],"display_cycle":[282,553,271,371,100,382],"intervals":[{"from_index":187,"to_index":405,"sum":68847,"residue":282},{"from_index":405,"to_index":623,"sum":72383,"residue":553},{"from_index":623,"to_index":841,"sum":68836,"residue":271},{"from_index":841,"to_index":1059,"sum":72201,"residue":371},{"from_index":1059,"to_index":1277,"sum":69318,"residue":100},{"from_index":1277,"to_index":187,"sum":72212,"residue":382}],"minimal_cycle":[282,553,271,371,100,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[187,405],"circle_positions":653,"cycle_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":[188,406,624,842,1060,1278],"clock_positions":[188,406,624,842,1060,1278],"native_values":[47,165,118,606,488,535],"rotation_degrees":51.74311926605505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,165,118,606,488,535],"beta":{"interval_sums":[68853,72435,68882,72195,69266,72166],"interval_residues":[288,605,317,365,48,336],"display_cycle":[288,605,317,365,48,336],"intervals":[{"from_index":188,"to_index":406,"sum":68853,"residue":288},{"from_index":406,"to_index":624,"sum":72435,"residue":605},{"from_index":624,"to_index":842,"sum":68882,"residue":317},{"from_index":842,"to_index":1060,"sum":72195,"residue":365},{"from_index":1060,"to_index":1278,"sum":69266,"residue":48},{"from_index":1278,"to_index":188,"sum":72166,"residue":336}],"minimal_cycle":[288,605,317,365,48,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[188,406],"circle_positions":653,"cycle_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":[189,407,625,843,1061,1279],"clock_positions":[189,407,625,843,1061,1279],"native_values":[536,218,335,117,435,318],"rotation_degrees":52.018348623853214,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,218,335,117,435,318],"beta":{"interval_sums":[68482,72335,69153,72566,69366,71895],"interval_residues":[570,505,588,83,148,65],"display_cycle":[570,505,588,83,148,65],"intervals":[{"from_index":189,"to_index":407,"sum":68482,"residue":570},{"from_index":407,"to_index":625,"sum":72335,"residue":505},{"from_index":625,"to_index":843,"sum":69153,"residue":588},{"from_index":843,"to_index":1061,"sum":72566,"residue":83},{"from_index":1061,"to_index":1279,"sum":69366,"residue":148},{"from_index":1279,"to_index":189,"sum":71895,"residue":65}],"minimal_cycle":[570,505,588,83,148,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[189,407],"circle_positions":653,"cycle_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":[190,408,626,844,1062,1280],"clock_positions":[190,408,626,844,1062,1280],"native_values":[583,383,453,70,270,200],"rotation_degrees":52.293577981651374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,383,453,70,270,200],"beta":{"interval_sums":[68117,72287,68817,72931,69414,72231],"interval_residues":[205,457,252,448,196,401],"display_cycle":[205,457,252,448,196,401],"intervals":[{"from_index":190,"to_index":408,"sum":68117,"residue":205},{"from_index":408,"to_index":626,"sum":72287,"residue":457},{"from_index":626,"to_index":844,"sum":68817,"residue":252},{"from_index":844,"to_index":1062,"sum":72931,"residue":448},{"from_index":1062,"to_index":1280,"sum":69414,"residue":196},{"from_index":1280,"to_index":190,"sum":72231,"residue":401}],"minimal_cycle":[205,457,252,448,196,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[190,408],"circle_positions":653,"cycle_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":[191,409,627,845,1063,1281],"clock_positions":[191,409,627,845,1063,1281],"native_values":[466,601,135,187,52,518],"rotation_degrees":52.56880733944954,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,601,135,187,52,518],"beta":{"interval_sums":[68034,72139,68752,73014,69562,72296],"interval_residues":[122,309,187,531,344,466],"display_cycle":[122,309,187,531,344,466],"intervals":[{"from_index":191,"to_index":409,"sum":68034,"residue":122},{"from_index":409,"to_index":627,"sum":72139,"residue":309},{"from_index":627,"to_index":845,"sum":68752,"residue":187},{"from_index":845,"to_index":1063,"sum":73014,"residue":531},{"from_index":1063,"to_index":1281,"sum":69562,"residue":344},{"from_index":1281,"to_index":191,"sum":72296,"residue":466}],"minimal_cycle":[122,309,187,531,344,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[191,409],"circle_positions":653,"cycle_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":[192,410,628,846,1064,1282],"clock_positions":[192,410,628,846,1064,1282],"native_values":[396,331,588,257,322,65],"rotation_degrees":52.84403669724771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,331,588,257,322,65],"beta":{"interval_sums":[68239,71943,68351,72809,69758,72697],"interval_residues":[327,113,439,326,540,214],"display_cycle":[327,113,439,326,540,214],"intervals":[{"from_index":192,"to_index":410,"sum":68239,"residue":327},{"from_index":410,"to_index":628,"sum":71943,"residue":113},{"from_index":628,"to_index":846,"sum":68351,"residue":439},{"from_index":846,"to_index":1064,"sum":72809,"residue":326},{"from_index":1064,"to_index":1282,"sum":69758,"residue":540},{"from_index":1282,"to_index":192,"sum":72697,"residue":214}],"minimal_cycle":[327,113,439,326,540,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[192,410],"circle_positions":653,"cycle_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":[193,411,629,847,1065,1283],"clock_positions":[193,411,629,847,1065,1283],"native_values":[209,279,70,444,374,583],"rotation_degrees":53.11926605504587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,279,70,444,374,583],"beta":{"interval_sums":[68361,72252,68538,72687,69449,72510],"interval_residues":[449,422,626,204,231,27],"display_cycle":[449,422,626,204,231,27],"intervals":[{"from_index":193,"to_index":411,"sum":68361,"residue":449},{"from_index":411,"to_index":629,"sum":72252,"residue":422},{"from_index":629,"to_index":847,"sum":68538,"residue":626},{"from_index":847,"to_index":1065,"sum":72687,"residue":204},{"from_index":1065,"to_index":1283,"sum":69449,"residue":231},{"from_index":1283,"to_index":193,"sum":72510,"residue":27}],"minimal_cycle":[449,422,626,204,231,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[193,411],"circle_positions":653,"cycle_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":[194,412,630,848,1066,1284],"clock_positions":[194,412,630,848,1066,1284],"native_values":[605,610,5,48,43,648],"rotation_degrees":53.39449541284404,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,610,5,48,43,648],"beta":{"interval_sums":[68035,71712,68977,73013,69989,72071],"interval_residues":[123,535,412,530,118,241],"display_cycle":[123,535,412,530,118,241],"intervals":[{"from_index":194,"to_index":412,"sum":68035,"residue":123},{"from_index":412,"to_index":630,"sum":71712,"residue":535},{"from_index":630,"to_index":848,"sum":68977,"residue":412},{"from_index":848,"to_index":1066,"sum":73013,"residue":530},{"from_index":1066,"to_index":1284,"sum":69989,"residue":118},{"from_index":1284,"to_index":194,"sum":72071,"residue":241}],"minimal_cycle":[123,535,412,530,118,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[194,412],"circle_positions":653,"cycle_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":[195,413,631,849,1067,1285],"clock_positions":[195,413,631,849,1067,1285],"native_values":[161,236,75,492,417,578],"rotation_degrees":53.669724770642205,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,236,75,492,417,578],"beta":{"interval_sums":[68484,71481,68950,72564,70220,72098],"interval_residues":[572,304,385,81,349,268],"display_cycle":[572,304,385,81,349,268],"intervals":[{"from_index":195,"to_index":413,"sum":68484,"residue":572},{"from_index":413,"to_index":631,"sum":71481,"residue":304},{"from_index":631,"to_index":849,"sum":68950,"residue":385},{"from_index":849,"to_index":1067,"sum":72564,"residue":81},{"from_index":1067,"to_index":1285,"sum":70220,"residue":349},{"from_index":1285,"to_index":195,"sum":72098,"residue":268}],"minimal_cycle":[572,304,385,81,349,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[195,413],"circle_positions":653,"cycle_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":[196,414,632,850,1068,1286],"clock_positions":[196,414,632,850,1068,1286],"native_values":[113,193,80,540,460,573],"rotation_degrees":53.944954128440365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,193,80,540,460,573],"beta":{"interval_sums":[68607,71363,69362,72441,70338,71686],"interval_residues":[42,186,144,611,467,509],"display_cycle":[42,186,144,611,467,509],"intervals":[{"from_index":196,"to_index":414,"sum":68607,"residue":42},{"from_index":414,"to_index":632,"sum":71363,"residue":186},{"from_index":632,"to_index":850,"sum":69362,"residue":144},{"from_index":850,"to_index":1068,"sum":72441,"residue":611},{"from_index":1068,"to_index":1286,"sum":70338,"residue":467},{"from_index":1286,"to_index":196,"sum":71686,"residue":509}],"minimal_cycle":[42,186,144,611,467,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[196,414],"circle_positions":653,"cycle_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":[197,415,633,851,1069,1287],"clock_positions":[197,415,633,851,1069,1287],"native_values":[274,429,155,379,224,498],"rotation_degrees":54.22018348623853,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[274,429,155,379,224,498],"beta":{"interval_sums":[68526,71014,69747,72522,70687,71301],"interval_residues":[614,490,529,39,163,124],"display_cycle":[614,490,529,39,163,124],"intervals":[{"from_index":197,"to_index":415,"sum":68526,"residue":614},{"from_index":415,"to_index":633,"sum":71014,"residue":490},{"from_index":633,"to_index":851,"sum":69747,"residue":529},{"from_index":851,"to_index":1069,"sum":72522,"residue":39},{"from_index":1069,"to_index":1287,"sum":70687,"residue":163},{"from_index":1287,"to_index":197,"sum":71301,"residue":124}],"minimal_cycle":[614,490,529,39,163,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[197,415],"circle_positions":653,"cycle_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":[198,416,634,852,1070,1288],"clock_positions":[198,416,634,852,1070,1288],"native_values":[387,622,235,266,31,418],"rotation_degrees":54.4954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,622,235,266,31,418],"beta":{"interval_sums":[68568,70547,69891,72480,71154,71157],"interval_residues":[3,23,20,650,630,633],"display_cycle":[3,23,20,650,630,633],"intervals":[{"from_index":198,"to_index":416,"sum":68568,"residue":3},{"from_index":416,"to_index":634,"sum":70547,"residue":23},{"from_index":634,"to_index":852,"sum":69891,"residue":20},{"from_index":852,"to_index":1070,"sum":72480,"residue":650},{"from_index":1070,"to_index":1288,"sum":71154,"residue":630},{"from_index":1288,"to_index":198,"sum":71157,"residue":633}],"minimal_cycle":[3,23,20,650,630,633],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[198,416],"circle_positions":653,"cycle_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":[199,417,635,853,1071,1289],"clock_positions":[199,417,635,853,1071,1289],"native_values":[8,398,390,645,255,263],"rotation_degrees":54.77064220183486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,398,390,645,255,263],"beta":{"interval_sums":[69182,70384,69767,71866,71317,71281],"interval_residues":[617,513,549,36,140,104],"display_cycle":[617,513,549,36,140,104],"intervals":[{"from_index":199,"to_index":417,"sum":69182,"residue":617},{"from_index":417,"to_index":635,"sum":70384,"residue":513},{"from_index":635,"to_index":853,"sum":69767,"residue":549},{"from_index":853,"to_index":1071,"sum":71866,"residue":36},{"from_index":1071,"to_index":1289,"sum":71317,"residue":140},{"from_index":1289,"to_index":199,"sum":71281,"residue":104}],"minimal_cycle":[617,513,549,36,140,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":617,"start_interval_clock_positions":[199,417],"circle_positions":653,"cycle_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":[200,418,636,854,1072,1290],"clock_positions":[200,418,636,854,1072,1290],"native_values":[395,367,625,258,286,28],"rotation_degrees":55.04587155963303,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[395,367,625,258,286,28],"beta":{"interval_sums":[69185,70407,69787,71863,71294,71261],"interval_residues":[620,536,569,33,117,84],"display_cycle":[620,536,569,33,117,84],"intervals":[{"from_index":200,"to_index":418,"sum":69185,"residue":620},{"from_index":418,"to_index":636,"sum":70407,"residue":536},{"from_index":636,"to_index":854,"sum":69787,"residue":569},{"from_index":854,"to_index":1072,"sum":71863,"residue":33},{"from_index":1072,"to_index":1290,"sum":71294,"residue":117},{"from_index":1290,"to_index":200,"sum":71261,"residue":84}],"minimal_cycle":[620,536,569,33,117,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[200,418],"circle_positions":653,"cycle_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":[201,419,637,855,1073,1291],"clock_positions":[201,419,637,855,1073,1291],"native_values":[403,112,362,250,541,291],"rotation_degrees":55.321100917431195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,112,362,250,541,291],"beta":{"interval_sums":[69149,70920,69683,71899,70781,71365],"interval_residues":[584,396,465,69,257,188],"display_cycle":[584,396,465,69,257,188],"intervals":[{"from_index":201,"to_index":419,"sum":69149,"residue":584},{"from_index":419,"to_index":637,"sum":70920,"residue":396},{"from_index":637,"to_index":855,"sum":69683,"residue":465},{"from_index":855,"to_index":1073,"sum":71899,"residue":69},{"from_index":1073,"to_index":1291,"sum":70781,"residue":257},{"from_index":1291,"to_index":201,"sum":71365,"residue":188}],"minimal_cycle":[584,396,465,69,257,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[201,419],"circle_positions":653,"cycle_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":[202,420,638,856,1074,1292],"clock_positions":[202,420,638,856,1074,1292],"native_values":[145,479,334,508,174,319],"rotation_degrees":55.596330275229356,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,479,334,508,174,319],"beta":{"interval_sums":[69116,70803,69599,71932,70898,71449],"interval_residues":[551,279,381,102,374,272],"display_cycle":[551,279,381,102,374,272],"intervals":[{"from_index":202,"to_index":420,"sum":69116,"residue":551},{"from_index":420,"to_index":638,"sum":70803,"residue":279},{"from_index":638,"to_index":856,"sum":69599,"residue":381},{"from_index":856,"to_index":1074,"sum":71932,"residue":102},{"from_index":1074,"to_index":1292,"sum":70898,"residue":374},{"from_index":1292,"to_index":202,"sum":71449,"residue":272}],"minimal_cycle":[551,279,381,102,374,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":551,"start_interval_clock_positions":[202,420],"circle_positions":653,"cycle_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":[203,421,639,857,1075,1293],"clock_positions":[203,421,639,857,1075,1293],"native_values":[548,591,43,105,62,610],"rotation_degrees":55.87155963302752,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,591,43,105,62,610],"beta":{"interval_sums":[69047,70546,70064,72001,71155,70984],"interval_residues":[482,22,193,171,631,460],"display_cycle":[482,22,193,171,631,460],"intervals":[{"from_index":203,"to_index":421,"sum":69047,"residue":482},{"from_index":421,"to_index":639,"sum":70546,"residue":22},{"from_index":639,"to_index":857,"sum":70064,"residue":193},{"from_index":857,"to_index":1075,"sum":72001,"residue":171},{"from_index":1075,"to_index":1293,"sum":71155,"residue":631},{"from_index":1293,"to_index":203,"sum":70984,"residue":460}],"minimal_cycle":[482,22,193,171,631,460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[203,421],"circle_positions":653,"cycle_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":[204,422,640,858,1076,1294],"clock_positions":[204,422,640,858,1076,1294],"native_values":[40,417,377,613,236,276],"rotation_degrees":56.14678899082569,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,417,377,613,236,276],"beta":{"interval_sums":[69598,70172,69792,71450,71529,71256],"interval_residues":[380,301,574,273,352,79],"display_cycle":[380,301,574,273,352,79],"intervals":[{"from_index":204,"to_index":422,"sum":69598,"residue":380},{"from_index":422,"to_index":640,"sum":70172,"residue":301},{"from_index":640,"to_index":858,"sum":69792,"residue":574},{"from_index":858,"to_index":1076,"sum":71450,"residue":273},{"from_index":1076,"to_index":1294,"sum":71529,"residue":352},{"from_index":1294,"to_index":204,"sum":71256,"residue":79}],"minimal_cycle":[380,301,574,273,352,79],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[204,422],"circle_positions":653,"cycle_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":[205,423,641,859,1077,1295],"clock_positions":[205,423,641,859,1077,1295],"native_values":[588,355,420,65,298,233],"rotation_degrees":56.42201834862385,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,355,420,65,298,233],"beta":{"interval_sums":[69427,70194,69985,71621,71507,71063],"interval_residues":[209,323,114,444,330,539],"display_cycle":[209,323,114,444,330,539],"intervals":[{"from_index":205,"to_index":423,"sum":69427,"residue":209},{"from_index":423,"to_index":641,"sum":70194,"residue":323},{"from_index":641,"to_index":859,"sum":69985,"residue":114},{"from_index":859,"to_index":1077,"sum":71621,"residue":444},{"from_index":1077,"to_index":1295,"sum":71507,"residue":330},{"from_index":1295,"to_index":205,"sum":71063,"residue":539}],"minimal_cycle":[209,323,114,444,330,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":209,"start_interval_clock_positions":[205,423],"circle_positions":653,"cycle_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":[206,424,642,860,1078,1296],"clock_positions":[206,424,642,860,1078,1296],"native_values":[628,119,144,25,534,509],"rotation_degrees":56.69724770642202,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[628,119,144,25,534,509],"beta":{"interval_sums":[69154,70495,69906,71894,71206,71142],"interval_residues":[589,624,35,64,29,618],"display_cycle":[589,624,35,64,29,618],"intervals":[{"from_index":206,"to_index":424,"sum":69154,"residue":589},{"from_index":424,"to_index":642,"sum":70495,"residue":624},{"from_index":642,"to_index":860,"sum":69906,"residue":35},{"from_index":860,"to_index":1078,"sum":71894,"residue":64},{"from_index":1078,"to_index":1296,"sum":71206,"residue":29},{"from_index":1296,"to_index":206,"sum":71142,"residue":618}],"minimal_cycle":[589,624,35,64,29,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[206,424],"circle_positions":653,"cycle_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":[207,425,643,861,1079,1297],"clock_positions":[207,425,643,861,1079,1297],"native_values":[563,474,564,90,179,89],"rotation_degrees":56.972477064220186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[563,474,564,90,179,89],"beta":{"interval_sums":[68710,70165,69367,72338,71536,71681],"interval_residues":[145,294,149,508,359,504],"display_cycle":[145,294,149,508,359,504],"intervals":[{"from_index":207,"to_index":425,"sum":68710,"residue":145},{"from_index":425,"to_index":643,"sum":70165,"residue":294},{"from_index":643,"to_index":861,"sum":69367,"residue":149},{"from_index":861,"to_index":1079,"sum":72338,"residue":508},{"from_index":1079,"to_index":1297,"sum":71536,"residue":359},{"from_index":1297,"to_index":207,"sum":71681,"residue":504}],"minimal_cycle":[145,294,149,508,359,504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[207,425],"circle_positions":653,"cycle_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":[208,426,644,862,1080,1298],"clock_positions":[208,426,644,862,1080,1298],"native_values":[538,593,55,115,60,598],"rotation_degrees":57.24770642201835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[538,593,55,115,60,598],"beta":{"interval_sums":[68646,70136,69402,72402,71565,71646],"interval_residues":[81,265,184,572,388,469],"display_cycle":[81,265,184,572,388,469],"intervals":[{"from_index":208,"to_index":426,"sum":68646,"residue":81},{"from_index":426,"to_index":644,"sum":70136,"residue":265},{"from_index":644,"to_index":862,"sum":69402,"residue":184},{"from_index":862,"to_index":1080,"sum":72402,"residue":572},{"from_index":1080,"to_index":1298,"sum":71565,"residue":388},{"from_index":1298,"to_index":208,"sum":71646,"residue":469}],"minimal_cycle":[81,265,184,572,388,469],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[208,426],"circle_positions":653,"cycle_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":[209,427,645,863,1081,1299],"clock_positions":[209,427,645,863,1081,1299],"native_values":[448,414,619,205,239,34],"rotation_degrees":57.522935779816514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,414,619,205,239,34],"beta":{"interval_sums":[68791,69777,68898,72257,71924,72150],"interval_residues":[226,559,333,427,94,320],"display_cycle":[226,559,333,427,94,320],"intervals":[{"from_index":209,"to_index":427,"sum":68791,"residue":226},{"from_index":427,"to_index":645,"sum":69777,"residue":559},{"from_index":645,"to_index":863,"sum":68898,"residue":333},{"from_index":863,"to_index":1081,"sum":72257,"residue":427},{"from_index":1081,"to_index":1299,"sum":71924,"residue":94},{"from_index":1299,"to_index":209,"sum":72150,"residue":320}],"minimal_cycle":[226,559,333,427,94,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[209,427],"circle_positions":653,"cycle_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":[210,428,646,864,1082,1300],"clock_positions":[210,428,646,864,1082,1300],"native_values":[333,354,21,320,299,632],"rotation_degrees":57.79816513761468,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,354,21,320,299,632],"beta":{"interval_sums":[68872,70042,69082,72176,71659,71966],"interval_residues":[307,171,517,346,482,136],"display_cycle":[307,171,517,346,482,136],"intervals":[{"from_index":210,"to_index":428,"sum":68872,"residue":307},{"from_index":428,"to_index":646,"sum":70042,"residue":171},{"from_index":646,"to_index":864,"sum":69082,"residue":517},{"from_index":864,"to_index":1082,"sum":72176,"residue":346},{"from_index":1082,"to_index":1300,"sum":71659,"residue":482},{"from_index":1300,"to_index":210,"sum":71966,"residue":136}],"minimal_cycle":[307,171,517,346,482,136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[210,428],"circle_positions":653,"cycle_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":[211,429,647,865,1083,1301],"clock_positions":[211,429,647,865,1083,1301],"native_values":[128,115,640,525,538,13],"rotation_degrees":58.07339449541284,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,115,640,525,538,13],"beta":{"interval_sums":[69098,69948,68762,71950,71753,72286],"interval_residues":[533,77,197,120,576,456],"display_cycle":[533,77,197,120,576,456],"intervals":[{"from_index":211,"to_index":429,"sum":69098,"residue":533},{"from_index":429,"to_index":647,"sum":69948,"residue":77},{"from_index":647,"to_index":865,"sum":68762,"residue":197},{"from_index":865,"to_index":1083,"sum":71950,"residue":120},{"from_index":1083,"to_index":1301,"sum":71753,"residue":576},{"from_index":1301,"to_index":211,"sum":72286,"residue":456}],"minimal_cycle":[533,77,197,120,576,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":533,"start_interval_clock_positions":[211,429],"circle_positions":653,"cycle_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":[212,430,648,866,1084,1302],"clock_positions":[212,430,648,866,1084,1302],"native_values":[461,469,8,192,184,645],"rotation_degrees":58.34862385321101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,469,8,192,184,645],"beta":{"interval_sums":[68752,70119,69279,72296,71582,71769],"interval_residues":[187,248,61,466,405,592],"display_cycle":[187,248,61,466,405,592],"intervals":[{"from_index":212,"to_index":430,"sum":68752,"residue":187},{"from_index":430,"to_index":648,"sum":70119,"residue":248},{"from_index":648,"to_index":866,"sum":69279,"residue":61},{"from_index":866,"to_index":1084,"sum":72296,"residue":466},{"from_index":1084,"to_index":1302,"sum":71582,"residue":405},{"from_index":1302,"to_index":212,"sum":71769,"residue":592}],"minimal_cycle":[187,248,61,466,405,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[212,430],"circle_positions":653,"cycle_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":[213,431,649,867,1085,1303],"clock_positions":[213,431,649,867,1085,1303],"native_values":[589,584,648,64,69,5],"rotation_degrees":58.62385321100918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,584,648,64,69,5],"beta":{"interval_sums":[68632,69543,68823,72416,72158,72225],"interval_residues":[67,325,258,586,328,395],"display_cycle":[67,325,258,586,328,395],"intervals":[{"from_index":213,"to_index":431,"sum":68632,"residue":67},{"from_index":431,"to_index":649,"sum":69543,"residue":325},{"from_index":649,"to_index":867,"sum":68823,"residue":258},{"from_index":867,"to_index":1085,"sum":72416,"residue":586},{"from_index":1085,"to_index":1303,"sum":72158,"residue":328},{"from_index":1303,"to_index":213,"sum":72225,"residue":395}],"minimal_cycle":[67,325,258,586,328,395],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[213,431],"circle_positions":653,"cycle_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":[214,432,650,868,1086,1304],"clock_positions":[214,432,650,868,1086,1304],"native_values":[397,400,3,256,253,650],"rotation_degrees":58.89908256880734,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,400,3,256,253,650],"beta":{"interval_sums":[68819,69791,68884,72229,71910,72164],"interval_residues":[254,573,319,399,80,334],"display_cycle":[254,573,319,399,80,334],"intervals":[{"from_index":214,"to_index":432,"sum":68819,"residue":254},{"from_index":432,"to_index":650,"sum":69791,"residue":573},{"from_index":650,"to_index":868,"sum":68884,"residue":319},{"from_index":868,"to_index":1086,"sum":72229,"residue":399},{"from_index":1086,"to_index":1304,"sum":71910,"residue":80},{"from_index":1304,"to_index":214,"sum":72164,"residue":334}],"minimal_cycle":[254,573,319,399,80,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[214,432],"circle_positions":653,"cycle_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":[215,433,651,869,1087,1305],"clock_positions":[215,433,651,869,1087,1305],"native_values":[333,331,651,320,322,2],"rotation_degrees":59.174311926605505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,331,651,320,322,2],"beta":{"interval_sums":[68886,69463,68489,72162,72238,72559],"interval_residues":[321,245,577,332,408,76],"display_cycle":[321,245,577,332,408,76],"intervals":[{"from_index":215,"to_index":433,"sum":68886,"residue":321},{"from_index":433,"to_index":651,"sum":69463,"residue":245},{"from_index":651,"to_index":869,"sum":68489,"residue":577},{"from_index":869,"to_index":1087,"sum":72162,"residue":332},{"from_index":1087,"to_index":1305,"sum":72238,"residue":408},{"from_index":1305,"to_index":215,"sum":72559,"residue":76}],"minimal_cycle":[321,245,577,332,408,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":321,"start_interval_clock_positions":[215,433],"circle_positions":653,"cycle_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":[216,434,652,870,1088,1306],"clock_positions":[216,434,652,870,1088,1306],"native_values":[77,78,1,576,575,652],"rotation_degrees":59.44954128440367,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,78,1,576,575,652],"beta":{"interval_sums":[69140,70036,68808,71908,71665,72240],"interval_residues":[575,165,243,78,488,410],"display_cycle":[575,165,243,78,488,410],"intervals":[{"from_index":216,"to_index":434,"sum":69140,"residue":575},{"from_index":434,"to_index":652,"sum":70036,"residue":165},{"from_index":652,"to_index":870,"sum":68808,"residue":243},{"from_index":870,"to_index":1088,"sum":71908,"residue":78},{"from_index":1088,"to_index":1306,"sum":71665,"residue":488},{"from_index":1306,"to_index":216,"sum":72240,"residue":410}],"minimal_cycle":[575,165,243,78,488,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[216,434],"circle_positions":653,"cycle_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":[217,435,653,871,1089,1307],"clock_positions":[217,435,653,871,1089,1307],"native_values":[410,409,652,243,244,1],"rotation_degrees":59.72477064220183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,409,652,243,244,1],"beta":{"interval_sums":[68808,69628,68732,72240,72073,72316],"interval_residues":[243,410,167,410,243,486],"display_cycle":[243,410,167,410,243,486],"intervals":[{"from_index":217,"to_index":435,"sum":68808,"residue":243},{"from_index":435,"to_index":653,"sum":69628,"residue":410},{"from_index":653,"to_index":871,"sum":68732,"residue":167},{"from_index":871,"to_index":1089,"sum":72240,"residue":410},{"from_index":1089,"to_index":1307,"sum":72073,"residue":243},{"from_index":1307,"to_index":217,"sum":72316,"residue":486}],"minimal_cycle":[243,410,167,410,243,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[217,435],"circle_positions":653,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,436,1090,654,218,872,0],"clock_positions":[1308,436,1090,654,218,872,1308],"native_values":[653,487,166,653,487,166,653],"reduced_m9_values":[9,1,4,9,1,4,9],"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":218,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,218,436,654,872,1090],"clock_positions":[1308,218,436,654,872,1090],"native_values":[653,487,487,653,166,166],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1308,"value":653},{"alpha_index":218,"clock_position":218,"value":487},{"alpha_index":436,"clock_position":436,"value":487},{"alpha_index":654,"clock_position":654,"value":653},{"alpha_index":872,"clock_position":872,"value":166},{"alpha_index":1090,"clock_position":1090,"value":166}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,219,437,655,873,1091],"clock_positions":[1,219,437,655,873,1091],"native_values":[1,244,243,652,409,410],"rotation_degrees":0.27522935779816515,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":219,"clock_position":219,"value":244},{"alpha_index":437,"clock_position":437,"value":243},{"alpha_index":655,"clock_position":655,"value":652},{"alpha_index":873,"clock_position":873,"value":409},{"alpha_index":1091,"clock_position":1091,"value":410}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,220,438,656,874,1092],"clock_positions":[2,220,438,656,874,1092],"native_values":[1,78,77,652,575,576],"rotation_degrees":0.5504587155963303,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":220,"clock_position":220,"value":78},{"alpha_index":438,"clock_position":438,"value":77},{"alpha_index":656,"clock_position":656,"value":652},{"alpha_index":874,"clock_position":874,"value":575},{"alpha_index":1092,"clock_position":1092,"value":576}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,221,439,657,875,1093],"clock_positions":[3,221,439,657,875,1093],"native_values":[2,322,320,651,331,333],"rotation_degrees":0.8256880733944955,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":221,"clock_position":221,"value":322},{"alpha_index":439,"clock_position":439,"value":320},{"alpha_index":657,"clock_position":657,"value":651},{"alpha_index":875,"clock_position":875,"value":331},{"alpha_index":1093,"clock_position":1093,"value":333}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,222,440,658,876,1094],"clock_positions":[4,222,440,658,876,1094],"native_values":[3,400,397,650,253,256],"rotation_degrees":1.1009174311926606,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":222,"clock_position":222,"value":400},{"alpha_index":440,"clock_position":440,"value":397},{"alpha_index":658,"clock_position":658,"value":650},{"alpha_index":876,"clock_position":876,"value":253},{"alpha_index":1094,"clock_position":1094,"value":256}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,223,441,659,877,1095],"clock_positions":[5,223,441,659,877,1095],"native_values":[5,69,64,648,584,589],"rotation_degrees":1.3761467889908257,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":223,"clock_position":223,"value":69},{"alpha_index":441,"clock_position":441,"value":64},{"alpha_index":659,"clock_position":659,"value":648},{"alpha_index":877,"clock_position":877,"value":584},{"alpha_index":1095,"clock_position":1095,"value":589}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,224,442,660,878,1096],"clock_positions":[6,224,442,660,878,1096],"native_values":[8,469,461,645,184,192],"rotation_degrees":1.651376146788991,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":224,"clock_position":224,"value":469},{"alpha_index":442,"clock_position":442,"value":461},{"alpha_index":660,"clock_position":660,"value":645},{"alpha_index":878,"clock_position":878,"value":184},{"alpha_index":1096,"clock_position":1096,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,225,443,661,879,1097],"clock_positions":[7,225,443,661,879,1097],"native_values":[13,538,525,640,115,128],"rotation_degrees":1.926605504587156,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":225,"clock_position":225,"value":538},{"alpha_index":443,"clock_position":443,"value":525},{"alpha_index":661,"clock_position":661,"value":640},{"alpha_index":879,"clock_position":879,"value":115},{"alpha_index":1097,"clock_position":1097,"value":128}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,226,444,662,880,1098],"clock_positions":[8,226,444,662,880,1098],"native_values":[21,354,333,632,299,320],"rotation_degrees":2.2018348623853212,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":226,"clock_position":226,"value":354},{"alpha_index":444,"clock_position":444,"value":333},{"alpha_index":662,"clock_position":662,"value":632},{"alpha_index":880,"clock_position":880,"value":299},{"alpha_index":1098,"clock_position":1098,"value":320}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,227,445,663,881,1099],"clock_positions":[9,227,445,663,881,1099],"native_values":[34,239,205,619,414,448],"rotation_degrees":2.477064220183486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":227,"clock_position":227,"value":239},{"alpha_index":445,"clock_position":445,"value":205},{"alpha_index":663,"clock_position":663,"value":619},{"alpha_index":881,"clock_position":881,"value":414},{"alpha_index":1099,"clock_position":1099,"value":448}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,228,446,664,882,1100],"clock_positions":[10,228,446,664,882,1100],"native_values":[55,593,538,598,60,115],"rotation_degrees":2.7522935779816513,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":228,"clock_position":228,"value":593},{"alpha_index":446,"clock_position":446,"value":538},{"alpha_index":664,"clock_position":664,"value":598},{"alpha_index":882,"clock_position":882,"value":60},{"alpha_index":1100,"clock_position":1100,"value":115}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,229,447,665,883,1101],"clock_positions":[11,229,447,665,883,1101],"native_values":[89,179,90,564,474,563],"rotation_degrees":3.0275229357798166,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":229,"clock_position":229,"value":179},{"alpha_index":447,"clock_position":447,"value":90},{"alpha_index":665,"clock_position":665,"value":564},{"alpha_index":883,"clock_position":883,"value":474},{"alpha_index":1101,"clock_position":1101,"value":563}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,230,448,666,884,1102],"clock_positions":[12,230,448,666,884,1102],"native_values":[144,119,628,509,534,25],"rotation_degrees":3.302752293577982,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":230,"clock_position":230,"value":119},{"alpha_index":448,"clock_position":448,"value":628},{"alpha_index":666,"clock_position":666,"value":509},{"alpha_index":884,"clock_position":884,"value":534},{"alpha_index":1102,"clock_position":1102,"value":25}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,231,449,667,885,1103],"clock_positions":[13,231,449,667,885,1103],"native_values":[233,298,65,420,355,588],"rotation_degrees":3.5779816513761467,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":231,"clock_position":231,"value":298},{"alpha_index":449,"clock_position":449,"value":65},{"alpha_index":667,"clock_position":667,"value":420},{"alpha_index":885,"clock_position":885,"value":355},{"alpha_index":1103,"clock_position":1103,"value":588}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,232,450,668,886,1104],"clock_positions":[14,232,450,668,886,1104],"native_values":[377,417,40,276,236,613],"rotation_degrees":3.853211009174312,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":232,"clock_position":232,"value":417},{"alpha_index":450,"clock_position":450,"value":40},{"alpha_index":668,"clock_position":668,"value":276},{"alpha_index":886,"clock_position":886,"value":236},{"alpha_index":1104,"clock_position":1104,"value":613}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,233,451,669,887,1105],"clock_positions":[15,233,451,669,887,1105],"native_values":[610,62,105,43,591,548],"rotation_degrees":4.128440366972477,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":233,"clock_position":233,"value":62},{"alpha_index":451,"clock_position":451,"value":105},{"alpha_index":669,"clock_position":669,"value":43},{"alpha_index":887,"clock_position":887,"value":591},{"alpha_index":1105,"clock_position":1105,"value":548}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,234,452,670,888,1106],"clock_positions":[16,234,452,670,888,1106],"native_values":[334,479,145,319,174,508],"rotation_degrees":4.4036697247706424,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":334},{"alpha_index":234,"clock_position":234,"value":479},{"alpha_index":452,"clock_position":452,"value":145},{"alpha_index":670,"clock_position":670,"value":319},{"alpha_index":888,"clock_position":888,"value":174},{"alpha_index":1106,"clock_position":1106,"value":508}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,235,453,671,889,1107],"clock_positions":[17,235,453,671,889,1107],"native_values":[291,541,250,362,112,403],"rotation_degrees":4.678899082568807,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":291},{"alpha_index":235,"clock_position":235,"value":541},{"alpha_index":453,"clock_position":453,"value":250},{"alpha_index":671,"clock_position":671,"value":362},{"alpha_index":889,"clock_position":889,"value":112},{"alpha_index":1107,"clock_position":1107,"value":403}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,236,454,672,890,1108],"clock_positions":[18,236,454,672,890,1108],"native_values":[625,367,395,28,286,258],"rotation_degrees":4.954128440366972,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":625},{"alpha_index":236,"clock_position":236,"value":367},{"alpha_index":454,"clock_position":454,"value":395},{"alpha_index":672,"clock_position":672,"value":28},{"alpha_index":890,"clock_position":890,"value":286},{"alpha_index":1108,"clock_position":1108,"value":258}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,237,455,673,891,1109],"clock_positions":[19,237,455,673,891,1109],"native_values":[263,255,645,390,398,8],"rotation_degrees":5.229357798165138,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":263},{"alpha_index":237,"clock_position":237,"value":255},{"alpha_index":455,"clock_position":455,"value":645},{"alpha_index":673,"clock_position":673,"value":390},{"alpha_index":891,"clock_position":891,"value":398},{"alpha_index":1109,"clock_position":1109,"value":8}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,238,456,674,892,1110],"clock_positions":[20,238,456,674,892,1110],"native_values":[235,622,387,418,31,266],"rotation_degrees":5.504587155963303,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":235},{"alpha_index":238,"clock_position":238,"value":622},{"alpha_index":456,"clock_position":456,"value":387},{"alpha_index":674,"clock_position":674,"value":418},{"alpha_index":892,"clock_position":892,"value":31},{"alpha_index":1110,"clock_position":1110,"value":266}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,239,457,675,893,1111],"clock_positions":[21,239,457,675,893,1111],"native_values":[498,224,379,155,429,274],"rotation_degrees":5.779816513761468,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":498},{"alpha_index":239,"clock_position":239,"value":224},{"alpha_index":457,"clock_position":457,"value":379},{"alpha_index":675,"clock_position":675,"value":155},{"alpha_index":893,"clock_position":893,"value":429},{"alpha_index":1111,"clock_position":1111,"value":274}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,240,458,676,894,1112],"clock_positions":[22,240,458,676,894,1112],"native_values":[80,193,113,573,460,540],"rotation_degrees":6.055045871559633,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":80},{"alpha_index":240,"clock_position":240,"value":193},{"alpha_index":458,"clock_position":458,"value":113},{"alpha_index":676,"clock_position":676,"value":573},{"alpha_index":894,"clock_position":894,"value":460},{"alpha_index":1112,"clock_position":1112,"value":540}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,241,459,677,895,1113],"clock_positions":[23,241,459,677,895,1113],"native_values":[578,417,492,75,236,161],"rotation_degrees":6.330275229357798,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":578},{"alpha_index":241,"clock_position":241,"value":417},{"alpha_index":459,"clock_position":459,"value":492},{"alpha_index":677,"clock_position":677,"value":75},{"alpha_index":895,"clock_position":895,"value":236},{"alpha_index":1113,"clock_position":1113,"value":161}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,242,460,678,896,1114],"clock_positions":[24,242,460,678,896,1114],"native_values":[5,610,605,648,43,48],"rotation_degrees":6.605504587155964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":5},{"alpha_index":242,"clock_position":242,"value":610},{"alpha_index":460,"clock_position":460,"value":605},{"alpha_index":678,"clock_position":678,"value":648},{"alpha_index":896,"clock_position":896,"value":43},{"alpha_index":1114,"clock_position":1114,"value":48}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,243,461,679,897,1115],"clock_positions":[25,243,461,679,897,1115],"native_values":[583,374,444,70,279,209],"rotation_degrees":6.8807339449541285,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":583},{"alpha_index":243,"clock_position":243,"value":374},{"alpha_index":461,"clock_position":461,"value":444},{"alpha_index":679,"clock_position":679,"value":70},{"alpha_index":897,"clock_position":897,"value":279},{"alpha_index":1115,"clock_position":1115,"value":209}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,244,462,680,898,1116],"clock_positions":[26,244,462,680,898,1116],"native_values":[588,331,396,65,322,257],"rotation_degrees":7.155963302752293,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":588},{"alpha_index":244,"clock_position":244,"value":331},{"alpha_index":462,"clock_position":462,"value":396},{"alpha_index":680,"clock_position":680,"value":65},{"alpha_index":898,"clock_position":898,"value":322},{"alpha_index":1116,"clock_position":1116,"value":257}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,245,463,681,899,1117],"clock_positions":[27,245,463,681,899,1117],"native_values":[518,52,187,135,601,466],"rotation_degrees":7.431192660550459,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":518},{"alpha_index":245,"clock_position":245,"value":52},{"alpha_index":463,"clock_position":463,"value":187},{"alpha_index":681,"clock_position":681,"value":135},{"alpha_index":899,"clock_position":899,"value":601},{"alpha_index":1117,"clock_position":1117,"value":466}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,246,464,682,900,1118],"clock_positions":[28,246,464,682,900,1118],"native_values":[453,383,583,200,270,70],"rotation_degrees":7.706422018348624,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":453},{"alpha_index":246,"clock_position":246,"value":383},{"alpha_index":464,"clock_position":464,"value":583},{"alpha_index":682,"clock_position":682,"value":200},{"alpha_index":900,"clock_position":900,"value":270},{"alpha_index":1118,"clock_position":1118,"value":70}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,247,465,683,901,1119],"clock_positions":[29,247,465,683,901,1119],"native_values":[318,435,117,335,218,536],"rotation_degrees":7.981651376146789,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":318},{"alpha_index":247,"clock_position":247,"value":435},{"alpha_index":465,"clock_position":465,"value":117},{"alpha_index":683,"clock_position":683,"value":335},{"alpha_index":901,"clock_position":901,"value":218},{"alpha_index":1119,"clock_position":1119,"value":536}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,248,466,684,902,1120],"clock_positions":[30,248,466,684,902,1120],"native_values":[118,165,47,535,488,606],"rotation_degrees":8.256880733944953,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":118},{"alpha_index":248,"clock_position":248,"value":165},{"alpha_index":466,"clock_position":466,"value":47},{"alpha_index":684,"clock_position":684,"value":535},{"alpha_index":902,"clock_position":902,"value":488},{"alpha_index":1120,"clock_position":1120,"value":606}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,249,467,685,903,1121],"clock_positions":[31,249,467,685,903,1121],"native_values":[436,600,164,217,53,489],"rotation_degrees":8.53211009174312,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":436},{"alpha_index":249,"clock_position":249,"value":600},{"alpha_index":467,"clock_position":467,"value":164},{"alpha_index":685,"clock_position":685,"value":217},{"alpha_index":903,"clock_position":903,"value":53},{"alpha_index":1121,"clock_position":1121,"value":489}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,250,468,686,904,1122],"clock_positions":[32,250,468,686,904,1122],"native_values":[554,112,211,99,541,442],"rotation_degrees":8.807339449541285,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":554},{"alpha_index":250,"clock_position":250,"value":112},{"alpha_index":468,"clock_position":468,"value":211},{"alpha_index":686,"clock_position":686,"value":99},{"alpha_index":904,"clock_position":904,"value":541},{"alpha_index":1122,"clock_position":1122,"value":442}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,251,469,687,905,1123],"clock_positions":[33,251,469,687,905,1123],"native_values":[337,59,375,316,594,278],"rotation_degrees":9.082568807339449,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":337},{"alpha_index":251,"clock_position":251,"value":59},{"alpha_index":469,"clock_position":469,"value":375},{"alpha_index":687,"clock_position":687,"value":316},{"alpha_index":905,"clock_position":905,"value":594},{"alpha_index":1123,"clock_position":1123,"value":278}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,252,470,688,906,1124],"clock_positions":[34,252,470,688,906,1124],"native_values":[238,171,586,415,482,67],"rotation_degrees":9.357798165137615,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":238},{"alpha_index":252,"clock_position":252,"value":171},{"alpha_index":470,"clock_position":470,"value":586},{"alpha_index":688,"clock_position":688,"value":415},{"alpha_index":906,"clock_position":906,"value":482},{"alpha_index":1124,"clock_position":1124,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,253,471,689,907,1125],"clock_positions":[35,253,471,689,907,1125],"native_values":[575,230,308,78,423,345],"rotation_degrees":9.63302752293578,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":575},{"alpha_index":253,"clock_position":253,"value":230},{"alpha_index":471,"clock_position":471,"value":308},{"alpha_index":689,"clock_position":689,"value":78},{"alpha_index":907,"clock_position":907,"value":423},{"alpha_index":1125,"clock_position":1125,"value":345}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,254,472,690,908,1126],"clock_positions":[36,254,472,690,908,1126],"native_values":[160,401,241,493,252,412],"rotation_degrees":9.908256880733944,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":160},{"alpha_index":254,"clock_position":254,"value":401},{"alpha_index":472,"clock_position":472,"value":241},{"alpha_index":690,"clock_position":690,"value":493},{"alpha_index":908,"clock_position":908,"value":252},{"alpha_index":1126,"clock_position":1126,"value":412}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,255,473,691,909,1127],"clock_positions":[37,255,473,691,909,1127],"native_values":[82,631,549,571,22,104],"rotation_degrees":10.18348623853211,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":82},{"alpha_index":255,"clock_position":255,"value":631},{"alpha_index":473,"clock_position":473,"value":549},{"alpha_index":691,"clock_position":691,"value":571},{"alpha_index":909,"clock_position":909,"value":22},{"alpha_index":1127,"clock_position":1127,"value":104}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,256,474,692,910,1128],"clock_positions":[38,256,474,692,910,1128],"native_values":[242,379,137,411,274,516],"rotation_degrees":10.458715596330276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":242},{"alpha_index":256,"clock_position":256,"value":379},{"alpha_index":474,"clock_position":474,"value":137},{"alpha_index":692,"clock_position":692,"value":411},{"alpha_index":910,"clock_position":910,"value":274},{"alpha_index":1128,"clock_position":1128,"value":516}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,257,475,693,911,1129],"clock_positions":[39,257,475,693,911,1129],"native_values":[324,357,33,329,296,620],"rotation_degrees":10.73394495412844,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":324},{"alpha_index":257,"clock_position":257,"value":357},{"alpha_index":475,"clock_position":475,"value":33},{"alpha_index":693,"clock_position":693,"value":329},{"alpha_index":911,"clock_position":911,"value":296},{"alpha_index":1129,"clock_position":1129,"value":620}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,258,476,694,912,1130],"clock_positions":[40,258,476,694,912,1130],"native_values":[566,83,170,87,570,483],"rotation_degrees":11.009174311926605,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":566},{"alpha_index":258,"clock_position":258,"value":83},{"alpha_index":476,"clock_position":476,"value":170},{"alpha_index":694,"clock_position":694,"value":87},{"alpha_index":912,"clock_position":912,"value":570},{"alpha_index":1130,"clock_position":1130,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,259,477,695,913,1131],"clock_positions":[41,259,477,695,913,1131],"native_values":[237,440,203,416,213,450],"rotation_degrees":11.284403669724771,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":237},{"alpha_index":259,"clock_position":259,"value":440},{"alpha_index":477,"clock_position":477,"value":203},{"alpha_index":695,"clock_position":695,"value":416},{"alpha_index":913,"clock_position":913,"value":213},{"alpha_index":1131,"clock_position":1131,"value":450}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,260,478,696,914,1132],"clock_positions":[42,260,478,696,914,1132],"native_values":[150,523,373,503,130,280],"rotation_degrees":11.559633027522937,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":150},{"alpha_index":260,"clock_position":260,"value":523},{"alpha_index":478,"clock_position":478,"value":373},{"alpha_index":696,"clock_position":696,"value":503},{"alpha_index":914,"clock_position":914,"value":130},{"alpha_index":1132,"clock_position":1132,"value":280}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,261,479,697,915,1133],"clock_positions":[43,261,479,697,915,1133],"native_values":[387,310,576,266,343,77],"rotation_degrees":11.8348623853211,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":387},{"alpha_index":261,"clock_position":261,"value":310},{"alpha_index":479,"clock_position":479,"value":576},{"alpha_index":697,"clock_position":697,"value":266},{"alpha_index":915,"clock_position":915,"value":343},{"alpha_index":1133,"clock_position":1133,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,262,480,698,916,1134],"clock_positions":[44,262,480,698,916,1134],"native_values":[537,180,296,116,473,357],"rotation_degrees":12.110091743119266,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":537},{"alpha_index":262,"clock_position":262,"value":180},{"alpha_index":480,"clock_position":480,"value":296},{"alpha_index":698,"clock_position":698,"value":116},{"alpha_index":916,"clock_position":916,"value":473},{"alpha_index":1134,"clock_position":1134,"value":357}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,263,481,699,917,1135],"clock_positions":[45,263,481,699,917,1135],"native_values":[271,490,219,382,163,434],"rotation_degrees":12.385321100917432,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":271},{"alpha_index":263,"clock_position":263,"value":490},{"alpha_index":481,"clock_position":481,"value":219},{"alpha_index":699,"clock_position":699,"value":382},{"alpha_index":917,"clock_position":917,"value":163},{"alpha_index":1135,"clock_position":1135,"value":434}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,264,482,700,918,1136],"clock_positions":[46,264,482,700,918,1136],"native_values":[155,17,515,498,636,138],"rotation_degrees":12.660550458715596,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":155},{"alpha_index":264,"clock_position":264,"value":17},{"alpha_index":482,"clock_position":482,"value":515},{"alpha_index":700,"clock_position":700,"value":498},{"alpha_index":918,"clock_position":918,"value":636},{"alpha_index":1136,"clock_position":1136,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,265,483,701,919,1137],"clock_positions":[47,265,483,701,919,1137],"native_values":[426,507,81,227,146,572],"rotation_degrees":12.935779816513762,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":426},{"alpha_index":265,"clock_position":265,"value":507},{"alpha_index":483,"clock_position":483,"value":81},{"alpha_index":701,"clock_position":701,"value":227},{"alpha_index":919,"clock_position":919,"value":146},{"alpha_index":1137,"clock_position":1137,"value":572}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,266,484,702,920,1138],"clock_positions":[48,266,484,702,920,1138],"native_values":[581,524,596,72,129,57],"rotation_degrees":13.211009174311927,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":581},{"alpha_index":266,"clock_position":266,"value":524},{"alpha_index":484,"clock_position":484,"value":596},{"alpha_index":702,"clock_position":702,"value":72},{"alpha_index":920,"clock_position":920,"value":129},{"alpha_index":1138,"clock_position":1138,"value":57}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,267,485,703,921,1139],"clock_positions":[49,267,485,703,921,1139],"native_values":[354,378,24,299,275,629],"rotation_degrees":13.486238532110091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":354},{"alpha_index":267,"clock_position":267,"value":378},{"alpha_index":485,"clock_position":485,"value":24},{"alpha_index":703,"clock_position":703,"value":299},{"alpha_index":921,"clock_position":921,"value":275},{"alpha_index":1139,"clock_position":1139,"value":629}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,268,486,704,922,1140],"clock_positions":[50,268,486,704,922,1140],"native_values":[282,249,620,371,404,33],"rotation_degrees":13.761467889908257,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":282},{"alpha_index":268,"clock_position":268,"value":249},{"alpha_index":486,"clock_position":486,"value":620},{"alpha_index":704,"clock_position":704,"value":371},{"alpha_index":922,"clock_position":922,"value":404},{"alpha_index":1140,"clock_position":1140,"value":33}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,269,487,705,923,1141],"clock_positions":[51,269,487,705,923,1141],"native_values":[636,627,644,17,26,9],"rotation_degrees":14.036697247706423,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":636},{"alpha_index":269,"clock_position":269,"value":627},{"alpha_index":487,"clock_position":487,"value":644},{"alpha_index":705,"clock_position":705,"value":17},{"alpha_index":923,"clock_position":923,"value":26}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,270,488,706,924,1142],"clock_positions":[52,270,488,706,924,1142],"native_values":[265,223,611,388,430,42],"rotation_degrees":14.311926605504587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":265},{"alpha_index":270,"clock_position":270,"value":223},{"alpha_index":488,"clock_position":488,"value":611},{"alpha_index":706,"clock_position":706,"value":388},{"alpha_index":924,"clock_position":924,"value":430},{"alpha_index":1142,"clock_position":1142,"value":42}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,271,489,707,925,1143],"clock_positions":[53,271,489,707,925,1143],"native_values":[248,197,602,405,456,51],"rotation_degrees":14.587155963302752,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":248},{"alpha_index":271,"clock_position":271,"value":197},{"alpha_index":489,"clock_position":489,"value":602},{"alpha_index":707,"clock_position":707,"value":405},{"alpha_index":925,"clock_position":925,"value":456},{"alpha_index":1143,"clock_position":1143,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,272,490,708,926,1144],"clock_positions":[54,272,490,708,926,1144],"native_values":[513,420,560,140,233,93],"rotation_degrees":14.862385321100918,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":513},{"alpha_index":272,"clock_position":272,"value":420},{"alpha_index":490,"clock_position":490,"value":560},{"alpha_index":708,"clock_position":708,"value":140},{"alpha_index":926,"clock_position":926,"value":233},{"alpha_index":1144,"clock_position":1144,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,273,491,709,927,1145],"clock_positions":[55,273,491,709,927,1145],"native_values":[108,617,509,545,36,144],"rotation_degrees":15.137614678899082,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":108},{"alpha_index":273,"clock_position":273,"value":617},{"alpha_index":491,"clock_position":491,"value":509},{"alpha_index":709,"clock_position":709,"value":545},{"alpha_index":927,"clock_position":927,"value":36},{"alpha_index":1145,"clock_position":1145,"value":144}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,274,492,710,928,1146],"clock_positions":[56,274,492,710,928,1146],"native_values":[621,384,416,32,269,237],"rotation_degrees":15.412844036697248,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":621},{"alpha_index":274,"clock_position":274,"value":384},{"alpha_index":492,"clock_position":492,"value":416},{"alpha_index":710,"clock_position":710,"value":32},{"alpha_index":928,"clock_position":928,"value":269},{"alpha_index":1146,"clock_position":1146,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,275,493,711,929,1147],"clock_positions":[57,275,493,711,929,1147],"native_values":[76,348,272,577,305,381],"rotation_degrees":15.688073394495413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":76},{"alpha_index":275,"clock_position":275,"value":348},{"alpha_index":493,"clock_position":493,"value":272},{"alpha_index":711,"clock_position":711,"value":577},{"alpha_index":929,"clock_position":929,"value":305},{"alpha_index":1147,"clock_position":1147,"value":381}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,276,494,712,930,1148],"clock_positions":[58,276,494,712,930,1148],"native_values":[44,79,35,609,574,618],"rotation_degrees":15.963302752293577,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":44},{"alpha_index":276,"clock_position":276,"value":79},{"alpha_index":494,"clock_position":494,"value":35},{"alpha_index":712,"clock_position":712,"value":609},{"alpha_index":930,"clock_position":930,"value":574},{"alpha_index":1148,"clock_position":1148,"value":618}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,277,495,713,931,1149],"clock_positions":[59,277,495,713,931,1149],"native_values":[120,427,307,533,226,346],"rotation_degrees":16.238532110091743,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":120},{"alpha_index":277,"clock_position":277,"value":427},{"alpha_index":495,"clock_position":495,"value":307},{"alpha_index":713,"clock_position":713,"value":533},{"alpha_index":931,"clock_position":931,"value":226},{"alpha_index":1149,"clock_position":1149,"value":346}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,278,496,714,932,1150],"clock_positions":[60,278,496,714,932,1150],"native_values":[164,506,342,489,147,311],"rotation_degrees":16.513761467889907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":164},{"alpha_index":278,"clock_position":278,"value":506},{"alpha_index":496,"clock_position":496,"value":342},{"alpha_index":714,"clock_position":714,"value":489},{"alpha_index":932,"clock_position":932,"value":147},{"alpha_index":1150,"clock_position":1150,"value":311}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,279,497,715,933,1151],"clock_positions":[61,279,497,715,933,1151],"native_values":[284,280,649,369,373,4],"rotation_degrees":16.788990825688074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":284},{"alpha_index":279,"clock_position":279,"value":280},{"alpha_index":497,"clock_position":497,"value":649},{"alpha_index":715,"clock_position":715,"value":369},{"alpha_index":933,"clock_position":933,"value":373},{"alpha_index":1151,"clock_position":1151,"value":4}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,280,498,716,934,1152],"clock_positions":[62,280,498,716,934,1152],"native_values":[448,133,338,205,520,315],"rotation_degrees":17.06422018348624,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":448},{"alpha_index":280,"clock_position":280,"value":133},{"alpha_index":498,"clock_position":498,"value":338},{"alpha_index":716,"clock_position":716,"value":205},{"alpha_index":934,"clock_position":934,"value":520},{"alpha_index":1152,"clock_position":1152,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,281,499,717,935,1153],"clock_positions":[63,281,499,717,935,1153],"native_values":[79,413,334,574,240,319],"rotation_degrees":17.339449541284402,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":79},{"alpha_index":281,"clock_position":281,"value":413},{"alpha_index":499,"clock_position":499,"value":334},{"alpha_index":717,"clock_position":717,"value":574},{"alpha_index":935,"clock_position":935,"value":240},{"alpha_index":1153,"clock_position":1153,"value":319}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,282,500,718,936,1154],"clock_positions":[64,282,500,718,936,1154],"native_values":[527,546,19,126,107,634],"rotation_degrees":17.61467889908257,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":527},{"alpha_index":282,"clock_position":282,"value":546},{"alpha_index":500,"clock_position":500,"value":19},{"alpha_index":718,"clock_position":718,"value":126},{"alpha_index":936,"clock_position":936,"value":107},{"alpha_index":1154,"clock_position":1154,"value":634}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,283,501,719,937,1155],"clock_positions":[65,283,501,719,937,1155],"native_values":[606,306,353,47,347,300],"rotation_degrees":17.889908256880734,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":606},{"alpha_index":283,"clock_position":283,"value":306},{"alpha_index":501,"clock_position":501,"value":353},{"alpha_index":719,"clock_position":719,"value":47},{"alpha_index":937,"clock_position":937,"value":347},{"alpha_index":1155,"clock_position":1155,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,284,502,720,938,1156],"clock_positions":[66,284,502,720,938,1156],"native_values":[480,199,372,173,454,281],"rotation_degrees":18.165137614678898,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":480},{"alpha_index":284,"clock_position":284,"value":199},{"alpha_index":502,"clock_position":502,"value":372},{"alpha_index":720,"clock_position":720,"value":173},{"alpha_index":938,"clock_position":938,"value":454},{"alpha_index":1156,"clock_position":1156,"value":281}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,285,503,721,939,1157],"clock_positions":[67,285,503,721,939,1157],"native_values":[433,505,72,220,148,581],"rotation_degrees":18.440366972477065,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":433},{"alpha_index":285,"clock_position":285,"value":505},{"alpha_index":503,"clock_position":503,"value":72},{"alpha_index":721,"clock_position":721,"value":220},{"alpha_index":939,"clock_position":939,"value":148},{"alpha_index":1157,"clock_position":1157,"value":581}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,286,504,722,940,1158],"clock_positions":[68,286,504,722,940,1158],"native_values":[260,51,444,393,602,209],"rotation_degrees":18.71559633027523,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":260},{"alpha_index":286,"clock_position":286,"value":51},{"alpha_index":504,"clock_position":504,"value":444},{"alpha_index":722,"clock_position":722,"value":393},{"alpha_index":940,"clock_position":940,"value":602},{"alpha_index":1158,"clock_position":1158,"value":209}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,287,505,723,941,1159],"clock_positions":[69,287,505,723,941,1159],"native_values":[40,556,516,613,97,137],"rotation_degrees":18.990825688073393,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":40},{"alpha_index":287,"clock_position":287,"value":556},{"alpha_index":505,"clock_position":505,"value":516},{"alpha_index":723,"clock_position":723,"value":613},{"alpha_index":941,"clock_position":941,"value":97},{"alpha_index":1159,"clock_position":1159,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,288,506,724,942,1160],"clock_positions":[70,288,506,724,942,1160],"native_values":[300,607,307,353,46,346],"rotation_degrees":19.26605504587156,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":300},{"alpha_index":288,"clock_position":288,"value":607},{"alpha_index":506,"clock_position":506,"value":307},{"alpha_index":724,"clock_position":724,"value":353},{"alpha_index":942,"clock_position":942,"value":46},{"alpha_index":1160,"clock_position":1160,"value":346}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,289,507,725,943,1161],"clock_positions":[71,289,507,725,943,1161],"native_values":[340,510,170,313,143,483],"rotation_degrees":19.541284403669724,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":340},{"alpha_index":289,"clock_position":289,"value":510},{"alpha_index":507,"clock_position":507,"value":170},{"alpha_index":725,"clock_position":725,"value":313},{"alpha_index":943,"clock_position":943,"value":143},{"alpha_index":1161,"clock_position":1161,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,290,508,726,944,1162],"clock_positions":[72,290,508,726,944,1162],"native_values":[640,464,477,13,189,176],"rotation_degrees":19.81651376146789,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":640},{"alpha_index":290,"clock_position":290,"value":464},{"alpha_index":508,"clock_position":508,"value":477},{"alpha_index":726,"clock_position":726,"value":13},{"alpha_index":944,"clock_position":944,"value":189},{"alpha_index":1162,"clock_position":1162,"value":176}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,291,509,727,945,1163],"clock_positions":[73,291,509,727,945,1163],"native_values":[327,321,647,326,332,6],"rotation_degrees":20.091743119266056,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":327},{"alpha_index":291,"clock_position":291,"value":321},{"alpha_index":509,"clock_position":509,"value":647},{"alpha_index":727,"clock_position":727,"value":326},{"alpha_index":945,"clock_position":945,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,292,510,728,946,1164],"clock_positions":[74,292,510,728,946,1164],"native_values":[314,132,471,339,521,182],"rotation_degrees":20.36697247706422,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":314},{"alpha_index":292,"clock_position":292,"value":132},{"alpha_index":510,"clock_position":510,"value":471},{"alpha_index":728,"clock_position":728,"value":339},{"alpha_index":946,"clock_position":946,"value":521},{"alpha_index":1164,"clock_position":1164,"value":182}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,293,511,729,947,1165],"clock_positions":[75,293,511,729,947,1165],"native_values":[641,453,465,12,200,188],"rotation_degrees":20.642201834862384,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":641},{"alpha_index":293,"clock_position":293,"value":453},{"alpha_index":511,"clock_position":511,"value":465},{"alpha_index":729,"clock_position":729,"value":12},{"alpha_index":947,"clock_position":947,"value":200},{"alpha_index":1165,"clock_position":1165,"value":188}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,294,512,730,948,1166],"clock_positions":[76,294,512,730,948,1166],"native_values":[302,585,283,351,68,370],"rotation_degrees":20.91743119266055,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":302},{"alpha_index":294,"clock_position":294,"value":585},{"alpha_index":512,"clock_position":512,"value":283},{"alpha_index":730,"clock_position":730,"value":351},{"alpha_index":948,"clock_position":948,"value":68},{"alpha_index":1166,"clock_position":1166,"value":370}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,295,513,731,949,1167],"clock_positions":[77,295,513,731,949,1167],"native_values":[290,385,95,363,268,558],"rotation_degrees":21.192660550458715,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":290},{"alpha_index":295,"clock_position":295,"value":385},{"alpha_index":513,"clock_position":513,"value":95},{"alpha_index":731,"clock_position":731,"value":363},{"alpha_index":949,"clock_position":949,"value":268},{"alpha_index":1167,"clock_position":1167,"value":558}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,296,514,732,950,1168],"clock_positions":[78,296,514,732,950,1168],"native_values":[592,317,378,61,336,275],"rotation_degrees":21.46788990825688,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":592},{"alpha_index":296,"clock_position":296,"value":317},{"alpha_index":514,"clock_position":514,"value":378},{"alpha_index":732,"clock_position":732,"value":61},{"alpha_index":950,"clock_position":950,"value":336},{"alpha_index":1168,"clock_position":1168,"value":275}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,297,515,733,951,1169],"clock_positions":[79,297,515,733,951,1169],"native_values":[229,49,473,424,604,180],"rotation_degrees":21.743119266055047,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":229},{"alpha_index":297,"clock_position":297,"value":49},{"alpha_index":515,"clock_position":515,"value":473},{"alpha_index":733,"clock_position":733,"value":424},{"alpha_index":951,"clock_position":951,"value":604},{"alpha_index":1169,"clock_position":1169,"value":180}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,298,516,734,952,1170],"clock_positions":[80,298,516,734,952,1170],"native_values":[168,366,198,485,287,455],"rotation_degrees":22.01834862385321,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":168},{"alpha_index":298,"clock_position":298,"value":366},{"alpha_index":516,"clock_position":516,"value":198},{"alpha_index":734,"clock_position":734,"value":485},{"alpha_index":952,"clock_position":952,"value":287},{"alpha_index":1170,"clock_position":1170,"value":455}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,299,517,735,953,1171],"clock_positions":[81,299,517,735,953,1171],"native_values":[397,415,18,256,238,635],"rotation_degrees":22.293577981651374,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":397},{"alpha_index":299,"clock_position":299,"value":415},{"alpha_index":517,"clock_position":517,"value":18},{"alpha_index":735,"clock_position":735,"value":256},{"alpha_index":953,"clock_position":953,"value":238},{"alpha_index":1171,"clock_position":1171,"value":635}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,300,518,736,954,1172],"clock_positions":[82,300,518,736,954,1172],"native_values":[565,128,216,88,525,437],"rotation_degrees":22.568807339449542,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":565},{"alpha_index":300,"clock_position":300,"value":128},{"alpha_index":518,"clock_position":518,"value":216},{"alpha_index":736,"clock_position":736,"value":88},{"alpha_index":954,"clock_position":954,"value":525},{"alpha_index":1172,"clock_position":1172,"value":437}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,301,519,737,955,1173],"clock_positions":[83,301,519,737,955,1173],"native_values":[309,543,234,344,110,419],"rotation_degrees":22.844036697247706,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":309},{"alpha_index":301,"clock_position":301,"value":543},{"alpha_index":519,"clock_position":519,"value":234},{"alpha_index":737,"clock_position":737,"value":344},{"alpha_index":955,"clock_position":955,"value":110},{"alpha_index":1173,"clock_position":1173,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,302,520,738,956,1174],"clock_positions":[84,302,520,738,956,1174],"native_values":[221,18,450,432,635,203],"rotation_degrees":23.119266055045873,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":221},{"alpha_index":302,"clock_position":302,"value":18},{"alpha_index":520,"clock_position":520,"value":450},{"alpha_index":738,"clock_position":738,"value":432},{"alpha_index":956,"clock_position":956,"value":635},{"alpha_index":1174,"clock_position":1174,"value":203}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,303,521,739,957,1175],"clock_positions":[85,303,521,739,957,1175],"native_values":[530,561,31,123,92,622],"rotation_degrees":23.394495412844037,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":530},{"alpha_index":303,"clock_position":303,"value":561},{"alpha_index":521,"clock_position":521,"value":31},{"alpha_index":739,"clock_position":739,"value":123},{"alpha_index":957,"clock_position":957,"value":92},{"alpha_index":1175,"clock_position":1175,"value":622}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,304,522,740,958,1176],"clock_positions":[86,304,522,740,958,1176],"native_values":[98,579,481,555,74,172],"rotation_degrees":23.6697247706422,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":98},{"alpha_index":304,"clock_position":304,"value":579},{"alpha_index":522,"clock_position":522,"value":481},{"alpha_index":740,"clock_position":740,"value":555},{"alpha_index":958,"clock_position":958,"value":74},{"alpha_index":1176,"clock_position":1176,"value":172}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,305,523,741,959,1177],"clock_positions":[87,305,523,741,959,1177],"native_values":[628,487,512,25,166,141],"rotation_degrees":23.94495412844037,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":628},{"alpha_index":305,"clock_position":305,"value":487},{"alpha_index":523,"clock_position":523,"value":512},{"alpha_index":741,"clock_position":741,"value":25},{"alpha_index":959,"clock_position":959,"value":166},{"alpha_index":1177,"clock_position":1177,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,306,524,742,960,1178],"clock_positions":[88,306,524,742,960,1178],"native_values":[73,413,340,580,240,313],"rotation_degrees":24.220183486238533,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":73},{"alpha_index":306,"clock_position":306,"value":413},{"alpha_index":524,"clock_position":524,"value":340},{"alpha_index":742,"clock_position":742,"value":580},{"alpha_index":960,"clock_position":960,"value":240},{"alpha_index":1178,"clock_position":1178,"value":313}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,307,525,743,961,1179],"clock_positions":[89,307,525,743,961,1179],"native_values":[48,247,199,605,406,454],"rotation_degrees":24.495412844036696,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":48},{"alpha_index":307,"clock_position":307,"value":247},{"alpha_index":525,"clock_position":525,"value":199},{"alpha_index":743,"clock_position":743,"value":605},{"alpha_index":961,"clock_position":961,"value":406},{"alpha_index":1179,"clock_position":1179,"value":454}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,308,526,744,962,1180],"clock_positions":[90,308,526,744,962,1180],"native_values":[121,7,539,532,646,114],"rotation_degrees":24.770642201834864,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":121},{"alpha_index":308,"clock_position":308,"value":7},{"alpha_index":526,"clock_position":526,"value":539},{"alpha_index":744,"clock_position":744,"value":532},{"alpha_index":962,"clock_position":962,"value":646},{"alpha_index":1180,"clock_position":1180,"value":114}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,309,527,745,963,1181],"clock_positions":[91,309,527,745,963,1181],"native_values":[169,254,85,484,399,568],"rotation_degrees":25.045871559633028,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":169},{"alpha_index":309,"clock_position":309,"value":254},{"alpha_index":527,"clock_position":527,"value":85},{"alpha_index":745,"clock_position":745,"value":484},{"alpha_index":963,"clock_position":963,"value":399},{"alpha_index":1181,"clock_position":1181,"value":568}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,310,528,746,964,1182],"clock_positions":[92,310,528,746,964,1182],"native_values":[290,261,624,363,392,29],"rotation_degrees":25.321100917431192,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":290},{"alpha_index":310,"clock_position":310,"value":261},{"alpha_index":528,"clock_position":528,"value":624},{"alpha_index":746,"clock_position":746,"value":363},{"alpha_index":964,"clock_position":964,"value":392},{"alpha_index":1182,"clock_position":1182,"value":29}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,311,529,747,965,1183],"clock_positions":[93,311,529,747,965,1183],"native_values":[459,515,56,194,138,597],"rotation_degrees":25.59633027522936,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":459},{"alpha_index":311,"clock_position":311,"value":515},{"alpha_index":529,"clock_position":529,"value":56},{"alpha_index":747,"clock_position":747,"value":194},{"alpha_index":965,"clock_position":965,"value":138},{"alpha_index":1183,"clock_position":1183,"value":597}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,312,530,748,966,1184],"clock_positions":[94,312,530,748,966,1184],"native_values":[96,123,27,557,530,626],"rotation_degrees":25.871559633027523,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":96},{"alpha_index":312,"clock_position":312,"value":123},{"alpha_index":530,"clock_position":530,"value":27},{"alpha_index":748,"clock_position":748,"value":557},{"alpha_index":966,"clock_position":966,"value":530},{"alpha_index":1184,"clock_position":1184,"value":626}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,313,531,749,967,1185],"clock_positions":[95,313,531,749,967,1185],"native_values":[555,638,83,98,15,570],"rotation_degrees":26.146788990825687,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":555},{"alpha_index":313,"clock_position":313,"value":638},{"alpha_index":531,"clock_position":531,"value":83},{"alpha_index":749,"clock_position":749,"value":98},{"alpha_index":967,"clock_position":967,"value":15},{"alpha_index":1185,"clock_position":1185,"value":570}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,314,532,750,968,1186],"clock_positions":[96,314,532,750,968,1186],"native_values":[651,108,110,2,545,543],"rotation_degrees":26.422018348623855,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":651},{"alpha_index":314,"clock_position":314,"value":108},{"alpha_index":532,"clock_position":532,"value":110},{"alpha_index":750,"clock_position":750,"value":2},{"alpha_index":968,"clock_position":968,"value":545},{"alpha_index":1186,"clock_position":1186,"value":543}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,315,533,751,969,1187],"clock_positions":[97,315,533,751,969,1187],"native_values":[553,93,193,100,560,460],"rotation_degrees":26.69724770642202,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":553},{"alpha_index":315,"clock_position":315,"value":93},{"alpha_index":533,"clock_position":533,"value":193},{"alpha_index":751,"clock_position":751,"value":100},{"alpha_index":969,"clock_position":969,"value":560},{"alpha_index":1187,"clock_position":1187,"value":460}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,316,534,752,970,1188],"clock_positions":[98,316,534,752,970,1188],"native_values":[551,201,303,102,452,350],"rotation_degrees":26.972477064220183,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":551},{"alpha_index":316,"clock_position":316,"value":201},{"alpha_index":534,"clock_position":534,"value":303},{"alpha_index":752,"clock_position":752,"value":102},{"alpha_index":970,"clock_position":970,"value":452},{"alpha_index":1188,"clock_position":1188,"value":350}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,317,535,753,971,1189],"clock_positions":[99,317,535,753,971,1189],"native_values":[451,294,496,202,359,157],"rotation_degrees":27.24770642201835,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":451},{"alpha_index":317,"clock_position":317,"value":294},{"alpha_index":535,"clock_position":535,"value":496},{"alpha_index":753,"clock_position":753,"value":202},{"alpha_index":971,"clock_position":971,"value":359},{"alpha_index":1189,"clock_position":1189,"value":157}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,318,536,754,972,1190],"clock_positions":[100,318,536,754,972,1190],"native_values":[349,495,146,304,158,507],"rotation_degrees":27.522935779816514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":349},{"alpha_index":318,"clock_position":318,"value":495},{"alpha_index":536,"clock_position":536,"value":146},{"alpha_index":754,"clock_position":754,"value":304},{"alpha_index":972,"clock_position":972,"value":158},{"alpha_index":1190,"clock_position":1190,"value":507}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,319,537,755,973,1191],"clock_positions":[101,319,537,755,973,1191],"native_values":[147,136,642,506,517,11],"rotation_degrees":27.798165137614678,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":147},{"alpha_index":319,"clock_position":319,"value":136},{"alpha_index":537,"clock_position":537,"value":642},{"alpha_index":755,"clock_position":755,"value":506},{"alpha_index":973,"clock_position":973,"value":517},{"alpha_index":1191,"clock_position":1191,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,320,538,756,974,1192],"clock_positions":[102,320,538,756,974,1192],"native_values":[496,631,135,157,22,518],"rotation_degrees":28.073394495412845,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":496},{"alpha_index":320,"clock_position":320,"value":631},{"alpha_index":538,"clock_position":538,"value":135},{"alpha_index":756,"clock_position":756,"value":157},{"alpha_index":974,"clock_position":974,"value":22},{"alpha_index":1192,"clock_position":1192,"value":518}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,321,539,757,975,1193],"clock_positions":[103,321,539,757,975,1193],"native_values":[643,114,124,10,539,529],"rotation_degrees":28.34862385321101,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":643},{"alpha_index":321,"clock_position":321,"value":114},{"alpha_index":539,"clock_position":539,"value":124},{"alpha_index":757,"clock_position":757,"value":10},{"alpha_index":975,"clock_position":975,"value":539},{"alpha_index":1193,"clock_position":1193,"value":529}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,322,540,758,976,1194],"clock_positions":[104,322,540,758,976,1194],"native_values":[486,92,259,167,561,394],"rotation_degrees":28.623853211009173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":486},{"alpha_index":322,"clock_position":322,"value":92},{"alpha_index":540,"clock_position":540,"value":259},{"alpha_index":758,"clock_position":758,"value":167},{"alpha_index":976,"clock_position":976,"value":561},{"alpha_index":1194,"clock_position":1194,"value":394}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,323,541,759,977,1195],"clock_positions":[105,323,541,759,977,1195],"native_values":[476,206,383,177,447,270],"rotation_degrees":28.89908256880734,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":476},{"alpha_index":323,"clock_position":323,"value":206},{"alpha_index":541,"clock_position":541,"value":383},{"alpha_index":759,"clock_position":759,"value":177},{"alpha_index":977,"clock_position":977,"value":447},{"alpha_index":1195,"clock_position":1195,"value":270}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,324,542,760,978,1196],"clock_positions":[106,324,542,760,978,1196],"native_values":[309,298,642,344,355,11],"rotation_degrees":29.174311926605505,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":309},{"alpha_index":324,"clock_position":324,"value":298},{"alpha_index":542,"clock_position":542,"value":642},{"alpha_index":760,"clock_position":760,"value":344},{"alpha_index":978,"clock_position":978,"value":355},{"alpha_index":1196,"clock_position":1196,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,325,543,761,979,1197],"clock_positions":[107,325,543,761,979,1197],"native_values":[132,504,372,521,149,281],"rotation_degrees":29.44954128440367,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":132},{"alpha_index":325,"clock_position":325,"value":504},{"alpha_index":543,"clock_position":543,"value":372},{"alpha_index":761,"clock_position":761,"value":521},{"alpha_index":979,"clock_position":979,"value":149},{"alpha_index":1197,"clock_position":1197,"value":281}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,326,544,762,980,1198],"clock_positions":[108,326,544,762,980,1198],"native_values":[441,149,361,212,504,292],"rotation_degrees":29.724770642201836,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":441},{"alpha_index":326,"clock_position":326,"value":149},{"alpha_index":544,"clock_position":544,"value":361},{"alpha_index":762,"clock_position":762,"value":212},{"alpha_index":980,"clock_position":980,"value":504},{"alpha_index":1198,"clock_position":1198,"value":292}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,327,545,763,981,1199],"clock_positions":[109,327,545,763,981,1199],"native_values":[573,653,80,80,653,573],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":573},{"alpha_index":327,"clock_position":327,"value":653},{"alpha_index":545,"clock_position":545,"value":80},{"alpha_index":763,"clock_position":763,"value":80},{"alpha_index":981,"clock_position":981,"value":653},{"alpha_index":1199,"clock_position":1199,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,328,546,764,982,1200],"clock_positions":[110,328,546,764,982,1200],"native_values":[361,149,441,292,504,212],"rotation_degrees":30.275229357798164,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":361},{"alpha_index":328,"clock_position":328,"value":149},{"alpha_index":546,"clock_position":546,"value":441},{"alpha_index":764,"clock_position":764,"value":292},{"alpha_index":982,"clock_position":982,"value":504},{"alpha_index":1200,"clock_position":1200,"value":212}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,329,547,765,983,1201],"clock_positions":[111,329,547,765,983,1201],"native_values":[281,149,521,372,504,132],"rotation_degrees":30.55045871559633,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":281},{"alpha_index":329,"clock_position":329,"value":149},{"alpha_index":547,"clock_position":547,"value":521},{"alpha_index":765,"clock_position":765,"value":372},{"alpha_index":983,"clock_position":983,"value":504},{"alpha_index":1201,"clock_position":1201,"value":132}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,330,548,766,984,1202],"clock_positions":[112,330,548,766,984,1202],"native_values":[642,298,309,11,355,344],"rotation_degrees":30.825688073394495,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":642},{"alpha_index":330,"clock_position":330,"value":298},{"alpha_index":548,"clock_position":548,"value":309},{"alpha_index":766,"clock_position":766,"value":11},{"alpha_index":984,"clock_position":984,"value":355},{"alpha_index":1202,"clock_position":1202,"value":344}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,331,549,767,985,1203],"clock_positions":[113,331,549,767,985,1203],"native_values":[270,447,177,383,206,476],"rotation_degrees":31.10091743119266,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":270},{"alpha_index":331,"clock_position":331,"value":447},{"alpha_index":549,"clock_position":549,"value":177},{"alpha_index":767,"clock_position":767,"value":383},{"alpha_index":985,"clock_position":985,"value":206},{"alpha_index":1203,"clock_position":1203,"value":476}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,332,550,768,986,1204],"clock_positions":[114,332,550,768,986,1204],"native_values":[259,92,486,394,561,167],"rotation_degrees":31.376146788990827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":259},{"alpha_index":332,"clock_position":332,"value":92},{"alpha_index":550,"clock_position":550,"value":486},{"alpha_index":768,"clock_position":768,"value":394},{"alpha_index":986,"clock_position":986,"value":561},{"alpha_index":1204,"clock_position":1204,"value":167}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,333,551,769,987,1205],"clock_positions":[115,333,551,769,987,1205],"native_values":[529,539,10,124,114,643],"rotation_degrees":31.65137614678899,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":529},{"alpha_index":333,"clock_position":333,"value":539},{"alpha_index":551,"clock_position":551,"value":10},{"alpha_index":769,"clock_position":769,"value":124},{"alpha_index":987,"clock_position":987,"value":114},{"alpha_index":1205,"clock_position":1205,"value":643}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,334,552,770,988,1206],"clock_positions":[116,334,552,770,988,1206],"native_values":[135,631,496,518,22,157],"rotation_degrees":31.926605504587155,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":135},{"alpha_index":334,"clock_position":334,"value":631},{"alpha_index":552,"clock_position":552,"value":496},{"alpha_index":770,"clock_position":770,"value":518},{"alpha_index":988,"clock_position":988,"value":22},{"alpha_index":1206,"clock_position":1206,"value":157}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,335,553,771,989,1207],"clock_positions":[117,335,553,771,989,1207],"native_values":[11,517,506,642,136,147],"rotation_degrees":32.20183486238532,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":11},{"alpha_index":335,"clock_position":335,"value":517},{"alpha_index":553,"clock_position":553,"value":506},{"alpha_index":771,"clock_position":771,"value":642},{"alpha_index":989,"clock_position":989,"value":136},{"alpha_index":1207,"clock_position":1207,"value":147}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,336,554,772,990,1208],"clock_positions":[118,336,554,772,990,1208],"native_values":[146,495,349,507,158,304],"rotation_degrees":32.477064220183486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":146},{"alpha_index":336,"clock_position":336,"value":495},{"alpha_index":554,"clock_position":554,"value":349},{"alpha_index":772,"clock_position":772,"value":507},{"alpha_index":990,"clock_position":990,"value":158},{"alpha_index":1208,"clock_position":1208,"value":304}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,337,555,773,991,1209],"clock_positions":[119,337,555,773,991,1209],"native_values":[157,359,202,496,294,451],"rotation_degrees":32.75229357798165,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":157},{"alpha_index":337,"clock_position":337,"value":359},{"alpha_index":555,"clock_position":555,"value":202},{"alpha_index":773,"clock_position":773,"value":496},{"alpha_index":991,"clock_position":991,"value":294},{"alpha_index":1209,"clock_position":1209,"value":451}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,338,556,774,992,1210],"clock_positions":[120,338,556,774,992,1210],"native_values":[303,201,551,350,452,102],"rotation_degrees":33.027522935779814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":303},{"alpha_index":338,"clock_position":338,"value":201},{"alpha_index":556,"clock_position":556,"value":551},{"alpha_index":774,"clock_position":774,"value":350},{"alpha_index":992,"clock_position":992,"value":452},{"alpha_index":1210,"clock_position":1210,"value":102}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,339,557,775,993,1211],"clock_positions":[121,339,557,775,993,1211],"native_values":[460,560,100,193,93,553],"rotation_degrees":33.30275229357798,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":460},{"alpha_index":339,"clock_position":339,"value":560},{"alpha_index":557,"clock_position":557,"value":100},{"alpha_index":775,"clock_position":775,"value":193},{"alpha_index":993,"clock_position":993,"value":93},{"alpha_index":1211,"clock_position":1211,"value":553}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,340,558,776,994,1212],"clock_positions":[122,340,558,776,994,1212],"native_values":[110,108,651,543,545,2],"rotation_degrees":33.57798165137615,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":110},{"alpha_index":340,"clock_position":340,"value":108},{"alpha_index":558,"clock_position":558,"value":651},{"alpha_index":776,"clock_position":776,"value":543},{"alpha_index":994,"clock_position":994,"value":545},{"alpha_index":1212,"clock_position":1212,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,341,559,777,995,1213],"clock_positions":[123,341,559,777,995,1213],"native_values":[570,15,98,83,638,555],"rotation_degrees":33.85321100917431,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":570},{"alpha_index":341,"clock_position":341,"value":15},{"alpha_index":559,"clock_position":559,"value":98},{"alpha_index":777,"clock_position":777,"value":83},{"alpha_index":995,"clock_position":995,"value":638},{"alpha_index":1213,"clock_position":1213,"value":555}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,342,560,778,996,1214],"clock_positions":[124,342,560,778,996,1214],"native_values":[27,123,96,626,530,557],"rotation_degrees":34.12844036697248,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":27},{"alpha_index":342,"clock_position":342,"value":123},{"alpha_index":560,"clock_position":560,"value":96},{"alpha_index":778,"clock_position":778,"value":626},{"alpha_index":996,"clock_position":996,"value":530},{"alpha_index":1214,"clock_position":1214,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,343,561,779,997,1215],"clock_positions":[125,343,561,779,997,1215],"native_values":[597,138,194,56,515,459],"rotation_degrees":34.403669724770644,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":597},{"alpha_index":343,"clock_position":343,"value":138},{"alpha_index":561,"clock_position":561,"value":194},{"alpha_index":779,"clock_position":779,"value":56},{"alpha_index":997,"clock_position":997,"value":515},{"alpha_index":1215,"clock_position":1215,"value":459}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,344,562,780,998,1216],"clock_positions":[126,344,562,780,998,1216],"native_values":[624,261,290,29,392,363],"rotation_degrees":34.678899082568805,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":624},{"alpha_index":344,"clock_position":344,"value":261},{"alpha_index":562,"clock_position":562,"value":290},{"alpha_index":780,"clock_position":780,"value":29},{"alpha_index":998,"clock_position":998,"value":392},{"alpha_index":1216,"clock_position":1216,"value":363}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,345,563,781,999,1217],"clock_positions":[127,345,563,781,999,1217],"native_values":[568,399,484,85,254,169],"rotation_degrees":34.95412844036697,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":568},{"alpha_index":345,"clock_position":345,"value":399},{"alpha_index":563,"clock_position":563,"value":484},{"alpha_index":781,"clock_position":781,"value":85},{"alpha_index":999,"clock_position":999,"value":254},{"alpha_index":1217,"clock_position":1217,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,346,564,782,1000,1218],"clock_positions":[128,346,564,782,1000,1218],"native_values":[539,7,121,114,646,532],"rotation_degrees":35.22935779816514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":539},{"alpha_index":346,"clock_position":346,"value":7},{"alpha_index":564,"clock_position":564,"value":121},{"alpha_index":782,"clock_position":782,"value":114},{"alpha_index":1000,"clock_position":1000,"value":646},{"alpha_index":1218,"clock_position":1218,"value":532}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,347,565,783,1001,1219],"clock_positions":[129,347,565,783,1001,1219],"native_values":[454,406,605,199,247,48],"rotation_degrees":35.5045871559633,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":454},{"alpha_index":347,"clock_position":347,"value":406},{"alpha_index":565,"clock_position":565,"value":605},{"alpha_index":783,"clock_position":783,"value":199},{"alpha_index":1001,"clock_position":1001,"value":247},{"alpha_index":1219,"clock_position":1219,"value":48}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,348,566,784,1002,1220],"clock_positions":[130,348,566,784,1002,1220],"native_values":[340,413,73,313,240,580],"rotation_degrees":35.77981651376147,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":340},{"alpha_index":348,"clock_position":348,"value":413},{"alpha_index":566,"clock_position":566,"value":73},{"alpha_index":784,"clock_position":784,"value":313},{"alpha_index":1002,"clock_position":1002,"value":240},{"alpha_index":1220,"clock_position":1220,"value":580}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,349,567,785,1003,1221],"clock_positions":[131,349,567,785,1003,1221],"native_values":[141,166,25,512,487,628],"rotation_degrees":36.055045871559635,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":141},{"alpha_index":349,"clock_position":349,"value":166},{"alpha_index":567,"clock_position":567,"value":25},{"alpha_index":785,"clock_position":785,"value":512},{"alpha_index":1003,"clock_position":1003,"value":487},{"alpha_index":1221,"clock_position":1221,"value":628}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,350,568,786,1004,1222],"clock_positions":[132,350,568,786,1004,1222],"native_values":[481,579,98,172,74,555],"rotation_degrees":36.330275229357795,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":481},{"alpha_index":350,"clock_position":350,"value":579},{"alpha_index":568,"clock_position":568,"value":98},{"alpha_index":786,"clock_position":786,"value":172},{"alpha_index":1004,"clock_position":1004,"value":74},{"alpha_index":1222,"clock_position":1222,"value":555}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,351,569,787,1005,1223],"clock_positions":[133,351,569,787,1005,1223],"native_values":[622,92,123,31,561,530],"rotation_degrees":36.60550458715596,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":622},{"alpha_index":351,"clock_position":351,"value":92},{"alpha_index":569,"clock_position":569,"value":123},{"alpha_index":787,"clock_position":787,"value":31},{"alpha_index":1005,"clock_position":1005,"value":561},{"alpha_index":1223,"clock_position":1223,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,352,570,788,1006,1224],"clock_positions":[134,352,570,788,1006,1224],"native_values":[450,18,221,203,635,432],"rotation_degrees":36.88073394495413,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":450},{"alpha_index":352,"clock_position":352,"value":18},{"alpha_index":570,"clock_position":570,"value":221},{"alpha_index":788,"clock_position":788,"value":203},{"alpha_index":1006,"clock_position":1006,"value":635},{"alpha_index":1224,"clock_position":1224,"value":432}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,353,571,789,1007,1225],"clock_positions":[135,353,571,789,1007,1225],"native_values":[419,110,344,234,543,309],"rotation_degrees":37.15596330275229,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":419},{"alpha_index":353,"clock_position":353,"value":110},{"alpha_index":571,"clock_position":571,"value":344},{"alpha_index":789,"clock_position":789,"value":234},{"alpha_index":1007,"clock_position":1007,"value":543},{"alpha_index":1225,"clock_position":1225,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,354,572,790,1008,1226],"clock_positions":[136,354,572,790,1008,1226],"native_values":[216,128,565,437,525,88],"rotation_degrees":37.43119266055046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":216},{"alpha_index":354,"clock_position":354,"value":128},{"alpha_index":572,"clock_position":572,"value":565},{"alpha_index":790,"clock_position":790,"value":437},{"alpha_index":1008,"clock_position":1008,"value":525},{"alpha_index":1226,"clock_position":1226,"value":88}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,355,573,791,1009,1227],"clock_positions":[137,355,573,791,1009,1227],"native_values":[635,238,256,18,415,397],"rotation_degrees":37.706422018348626,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":635},{"alpha_index":355,"clock_position":355,"value":238},{"alpha_index":573,"clock_position":573,"value":256},{"alpha_index":791,"clock_position":791,"value":18},{"alpha_index":1009,"clock_position":1009,"value":415},{"alpha_index":1227,"clock_position":1227,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,356,574,792,1010,1228],"clock_positions":[138,356,574,792,1010,1228],"native_values":[198,366,168,455,287,485],"rotation_degrees":37.981651376146786,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":198},{"alpha_index":356,"clock_position":356,"value":366},{"alpha_index":574,"clock_position":574,"value":168},{"alpha_index":792,"clock_position":792,"value":455},{"alpha_index":1010,"clock_position":1010,"value":287},{"alpha_index":1228,"clock_position":1228,"value":485}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,357,575,793,1011,1229],"clock_positions":[139,357,575,793,1011,1229],"native_values":[180,604,424,473,49,229],"rotation_degrees":38.25688073394495,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":180},{"alpha_index":357,"clock_position":357,"value":604},{"alpha_index":575,"clock_position":575,"value":424},{"alpha_index":793,"clock_position":793,"value":473},{"alpha_index":1011,"clock_position":1011,"value":49},{"alpha_index":1229,"clock_position":1229,"value":229}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,358,576,794,1012,1230],"clock_positions":[140,358,576,794,1012,1230],"native_values":[378,317,592,275,336,61],"rotation_degrees":38.53211009174312,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":378},{"alpha_index":358,"clock_position":358,"value":317},{"alpha_index":576,"clock_position":576,"value":592},{"alpha_index":794,"clock_position":794,"value":275},{"alpha_index":1012,"clock_position":1012,"value":336},{"alpha_index":1230,"clock_position":1230,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,359,577,795,1013,1231],"clock_positions":[141,359,577,795,1013,1231],"native_values":[558,268,363,95,385,290],"rotation_degrees":38.80733944954128,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":558},{"alpha_index":359,"clock_position":359,"value":268},{"alpha_index":577,"clock_position":577,"value":363},{"alpha_index":795,"clock_position":795,"value":95},{"alpha_index":1013,"clock_position":1013,"value":385},{"alpha_index":1231,"clock_position":1231,"value":290}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,360,578,796,1014,1232],"clock_positions":[142,360,578,796,1014,1232],"native_values":[283,585,302,370,68,351],"rotation_degrees":39.08256880733945,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":283},{"alpha_index":360,"clock_position":360,"value":585},{"alpha_index":578,"clock_position":578,"value":302},{"alpha_index":796,"clock_position":796,"value":370},{"alpha_index":1014,"clock_position":1014,"value":68},{"alpha_index":1232,"clock_position":1232,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,361,579,797,1015,1233],"clock_positions":[143,361,579,797,1015,1233],"native_values":[188,200,12,465,453,641],"rotation_degrees":39.357798165137616,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":188},{"alpha_index":361,"clock_position":361,"value":200},{"alpha_index":579,"clock_position":579,"value":12},{"alpha_index":797,"clock_position":797,"value":465},{"alpha_index":1015,"clock_position":1015,"value":453},{"alpha_index":1233,"clock_position":1233,"value":641}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,362,580,798,1016,1234],"clock_positions":[144,362,580,798,1016,1234],"native_values":[471,132,314,182,521,339],"rotation_degrees":39.63302752293578,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":471},{"alpha_index":362,"clock_position":362,"value":132},{"alpha_index":580,"clock_position":580,"value":314},{"alpha_index":798,"clock_position":798,"value":182},{"alpha_index":1016,"clock_position":1016,"value":521},{"alpha_index":1234,"clock_position":1234,"value":339}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,363,581,799,1017,1235],"clock_positions":[145,363,581,799,1017,1235],"native_values":[6,332,326,647,321,327],"rotation_degrees":39.908256880733944,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":363,"clock_position":363,"value":332},{"alpha_index":581,"clock_position":581,"value":326},{"alpha_index":799,"clock_position":799,"value":647},{"alpha_index":1017,"clock_position":1017,"value":321},{"alpha_index":1235,"clock_position":1235,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,364,582,800,1018,1236],"clock_positions":[146,364,582,800,1018,1236],"native_values":[477,464,640,176,189,13],"rotation_degrees":40.18348623853211,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":477},{"alpha_index":364,"clock_position":364,"value":464},{"alpha_index":582,"clock_position":582,"value":640},{"alpha_index":800,"clock_position":800,"value":176},{"alpha_index":1018,"clock_position":1018,"value":189},{"alpha_index":1236,"clock_position":1236,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,365,583,801,1019,1237],"clock_positions":[147,365,583,801,1019,1237],"native_values":[483,143,313,170,510,340],"rotation_degrees":40.45871559633027,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":483},{"alpha_index":365,"clock_position":365,"value":143},{"alpha_index":583,"clock_position":583,"value":313},{"alpha_index":801,"clock_position":801,"value":170},{"alpha_index":1019,"clock_position":1019,"value":510},{"alpha_index":1237,"clock_position":1237,"value":340}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,366,584,802,1020,1238],"clock_positions":[148,366,584,802,1020,1238],"native_values":[307,607,300,346,46,353],"rotation_degrees":40.73394495412844,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":307},{"alpha_index":366,"clock_position":366,"value":607},{"alpha_index":584,"clock_position":584,"value":300},{"alpha_index":802,"clock_position":802,"value":346},{"alpha_index":1020,"clock_position":1020,"value":46},{"alpha_index":1238,"clock_position":1238,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,367,585,803,1021,1239],"clock_positions":[149,367,585,803,1021,1239],"native_values":[137,97,613,516,556,40],"rotation_degrees":41.00917431192661,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":137},{"alpha_index":367,"clock_position":367,"value":97},{"alpha_index":585,"clock_position":585,"value":613},{"alpha_index":803,"clock_position":803,"value":516},{"alpha_index":1021,"clock_position":1021,"value":556},{"alpha_index":1239,"clock_position":1239,"value":40}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,368,586,804,1022,1240],"clock_positions":[150,368,586,804,1022,1240],"native_values":[444,51,260,209,602,393],"rotation_degrees":41.28440366972477,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":444},{"alpha_index":368,"clock_position":368,"value":51},{"alpha_index":586,"clock_position":586,"value":260},{"alpha_index":804,"clock_position":804,"value":209},{"alpha_index":1022,"clock_position":1022,"value":602},{"alpha_index":1240,"clock_position":1240,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,369,587,805,1023,1241],"clock_positions":[151,369,587,805,1023,1241],"native_values":[581,148,220,72,505,433],"rotation_degrees":41.559633027522935,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":581},{"alpha_index":369,"clock_position":369,"value":148},{"alpha_index":587,"clock_position":587,"value":220},{"alpha_index":805,"clock_position":805,"value":72},{"alpha_index":1023,"clock_position":1023,"value":505},{"alpha_index":1241,"clock_position":1241,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,370,588,806,1024,1242],"clock_positions":[152,370,588,806,1024,1242],"native_values":[372,199,480,281,454,173],"rotation_degrees":41.8348623853211,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":372},{"alpha_index":370,"clock_position":370,"value":199},{"alpha_index":588,"clock_position":588,"value":480},{"alpha_index":806,"clock_position":806,"value":281},{"alpha_index":1024,"clock_position":1024,"value":454},{"alpha_index":1242,"clock_position":1242,"value":173}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,371,589,807,1025,1243],"clock_positions":[153,371,589,807,1025,1243],"native_values":[300,347,47,353,306,606],"rotation_degrees":42.11009174311926,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":300},{"alpha_index":371,"clock_position":371,"value":347},{"alpha_index":589,"clock_position":589,"value":47},{"alpha_index":807,"clock_position":807,"value":353},{"alpha_index":1025,"clock_position":1025,"value":306},{"alpha_index":1243,"clock_position":1243,"value":606}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,372,590,808,1026,1244],"clock_positions":[154,372,590,808,1026,1244],"native_values":[19,546,527,634,107,126],"rotation_degrees":42.38532110091743,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":19},{"alpha_index":372,"clock_position":372,"value":546},{"alpha_index":590,"clock_position":590,"value":527},{"alpha_index":808,"clock_position":808,"value":634},{"alpha_index":1026,"clock_position":1026,"value":107},{"alpha_index":1244,"clock_position":1244,"value":126}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,373,591,809,1027,1245],"clock_positions":[155,373,591,809,1027,1245],"native_values":[319,240,574,334,413,79],"rotation_degrees":42.6605504587156,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":319},{"alpha_index":373,"clock_position":373,"value":240},{"alpha_index":591,"clock_position":591,"value":574},{"alpha_index":809,"clock_position":809,"value":334},{"alpha_index":1027,"clock_position":1027,"value":413},{"alpha_index":1245,"clock_position":1245,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,374,592,810,1028,1246],"clock_positions":[156,374,592,810,1028,1246],"native_values":[338,133,448,315,520,205],"rotation_degrees":42.93577981651376,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":338},{"alpha_index":374,"clock_position":374,"value":133},{"alpha_index":592,"clock_position":592,"value":448},{"alpha_index":810,"clock_position":810,"value":315},{"alpha_index":1028,"clock_position":1028,"value":520},{"alpha_index":1246,"clock_position":1246,"value":205}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,375,593,811,1029,1247],"clock_positions":[157,375,593,811,1029,1247],"native_values":[4,373,369,649,280,284],"rotation_degrees":43.211009174311926,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":4},{"alpha_index":375,"clock_position":375,"value":373},{"alpha_index":593,"clock_position":593,"value":369},{"alpha_index":811,"clock_position":811,"value":649},{"alpha_index":1029,"clock_position":1029,"value":280},{"alpha_index":1247,"clock_position":1247,"value":284}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,376,594,812,1030,1248],"clock_positions":[158,376,594,812,1030,1248],"native_values":[342,506,164,311,147,489],"rotation_degrees":43.48623853211009,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":342},{"alpha_index":376,"clock_position":376,"value":506},{"alpha_index":594,"clock_position":594,"value":164},{"alpha_index":812,"clock_position":812,"value":311},{"alpha_index":1030,"clock_position":1030,"value":147},{"alpha_index":1248,"clock_position":1248,"value":489}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,377,595,813,1031,1249],"clock_positions":[159,377,595,813,1031,1249],"native_values":[346,226,533,307,427,120],"rotation_degrees":43.76146788990825,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":346},{"alpha_index":377,"clock_position":377,"value":226},{"alpha_index":595,"clock_position":595,"value":533},{"alpha_index":813,"clock_position":813,"value":307},{"alpha_index":1031,"clock_position":1031,"value":427},{"alpha_index":1249,"clock_position":1249,"value":120}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,378,596,814,1032,1250],"clock_positions":[160,378,596,814,1032,1250],"native_values":[35,79,44,618,574,609],"rotation_degrees":44.03669724770642,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":35},{"alpha_index":378,"clock_position":378,"value":79},{"alpha_index":596,"clock_position":596,"value":44},{"alpha_index":814,"clock_position":814,"value":618},{"alpha_index":1032,"clock_position":1032,"value":574},{"alpha_index":1250,"clock_position":1250,"value":609}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,379,597,815,1033,1251],"clock_positions":[161,379,597,815,1033,1251],"native_values":[381,305,577,272,348,76],"rotation_degrees":44.31192660550459,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":381},{"alpha_index":379,"clock_position":379,"value":305},{"alpha_index":597,"clock_position":597,"value":577},{"alpha_index":815,"clock_position":815,"value":272},{"alpha_index":1033,"clock_position":1033,"value":348},{"alpha_index":1251,"clock_position":1251,"value":76}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,380,598,816,1034,1252],"clock_positions":[162,380,598,816,1034,1252],"native_values":[416,384,621,237,269,32],"rotation_degrees":44.58715596330275,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":416},{"alpha_index":380,"clock_position":380,"value":384},{"alpha_index":598,"clock_position":598,"value":621},{"alpha_index":816,"clock_position":816,"value":237},{"alpha_index":1034,"clock_position":1034,"value":269},{"alpha_index":1252,"clock_position":1252,"value":32}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,381,599,817,1035,1253],"clock_positions":[163,381,599,817,1035,1253],"native_values":[144,36,545,509,617,108],"rotation_degrees":44.862385321100916,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":144},{"alpha_index":381,"clock_position":381,"value":36},{"alpha_index":599,"clock_position":599,"value":545},{"alpha_index":817,"clock_position":817,"value":509},{"alpha_index":1035,"clock_position":1035,"value":617},{"alpha_index":1253,"clock_position":1253,"value":108}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,382,600,818,1036,1254],"clock_positions":[164,382,600,818,1036,1254],"native_values":[560,420,513,93,233,140],"rotation_degrees":45.137614678899084,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":560},{"alpha_index":382,"clock_position":382,"value":420},{"alpha_index":600,"clock_position":600,"value":513},{"alpha_index":818,"clock_position":818,"value":93},{"alpha_index":1036,"clock_position":1036,"value":233},{"alpha_index":1254,"clock_position":1254,"value":140}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,383,601,819,1037,1255],"clock_positions":[165,383,601,819,1037,1255],"native_values":[51,456,405,602,197,248],"rotation_degrees":45.41284403669725,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":51},{"alpha_index":383,"clock_position":383,"value":456},{"alpha_index":601,"clock_position":601,"value":405},{"alpha_index":819,"clock_position":819,"value":602},{"alpha_index":1037,"clock_position":1037,"value":197},{"alpha_index":1255,"clock_position":1255,"value":248}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,384,602,820,1038,1256],"clock_positions":[166,384,602,820,1038,1256],"native_values":[611,223,265,42,430,388],"rotation_degrees":45.68807339449541,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":611},{"alpha_index":384,"clock_position":384,"value":223},{"alpha_index":602,"clock_position":602,"value":265},{"alpha_index":820,"clock_position":820,"value":42},{"alpha_index":1038,"clock_position":1038,"value":430},{"alpha_index":1256,"clock_position":1256,"value":388}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,385,603,821,1039,1257],"clock_positions":[167,385,603,821,1039,1257],"native_values":[9,26,17,644,627,636],"rotation_degrees":45.96330275229358,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":385,"clock_position":385,"value":26},{"alpha_index":603,"clock_position":603,"value":17},{"alpha_index":821,"clock_position":821,"value":644},{"alpha_index":1039,"clock_position":1039,"value":627},{"alpha_index":1257,"clock_position":1257,"value":636}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,386,604,822,1040,1258],"clock_positions":[168,386,604,822,1040,1258],"native_values":[620,249,282,33,404,371],"rotation_degrees":46.23853211009175,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":620},{"alpha_index":386,"clock_position":386,"value":249},{"alpha_index":604,"clock_position":604,"value":282},{"alpha_index":822,"clock_position":822,"value":33},{"alpha_index":1040,"clock_position":1040,"value":404},{"alpha_index":1258,"clock_position":1258,"value":371}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,387,605,823,1041,1259],"clock_positions":[169,387,605,823,1041,1259],"native_values":[629,275,299,24,378,354],"rotation_degrees":46.51376146788991,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":629},{"alpha_index":387,"clock_position":387,"value":275},{"alpha_index":605,"clock_position":605,"value":299},{"alpha_index":823,"clock_position":823,"value":24},{"alpha_index":1041,"clock_position":1041,"value":378},{"alpha_index":1259,"clock_position":1259,"value":354}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,388,606,824,1042,1260],"clock_positions":[170,388,606,824,1042,1260],"native_values":[596,524,581,57,129,72],"rotation_degrees":46.788990825688074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":596},{"alpha_index":388,"clock_position":388,"value":524},{"alpha_index":606,"clock_position":606,"value":581},{"alpha_index":824,"clock_position":824,"value":57},{"alpha_index":1042,"clock_position":1042,"value":129},{"alpha_index":1260,"clock_position":1260,"value":72}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,389,607,825,1043,1261],"clock_positions":[171,389,607,825,1043,1261],"native_values":[572,146,227,81,507,426],"rotation_degrees":47.06422018348624,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":572},{"alpha_index":389,"clock_position":389,"value":146},{"alpha_index":607,"clock_position":607,"value":227},{"alpha_index":825,"clock_position":825,"value":81},{"alpha_index":1043,"clock_position":1043,"value":507},{"alpha_index":1261,"clock_position":1261,"value":426}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,390,608,826,1044,1262],"clock_positions":[172,390,608,826,1044,1262],"native_values":[515,17,155,138,636,498],"rotation_degrees":47.3394495412844,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":515},{"alpha_index":390,"clock_position":390,"value":17},{"alpha_index":608,"clock_position":608,"value":155},{"alpha_index":826,"clock_position":826,"value":138},{"alpha_index":1044,"clock_position":1044,"value":636},{"alpha_index":1262,"clock_position":1262,"value":498}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,391,609,827,1045,1263],"clock_positions":[173,391,609,827,1045,1263],"native_values":[434,163,382,219,490,271],"rotation_degrees":47.61467889908257,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":434},{"alpha_index":391,"clock_position":391,"value":163},{"alpha_index":609,"clock_position":609,"value":382},{"alpha_index":827,"clock_position":827,"value":219},{"alpha_index":1045,"clock_position":1045,"value":490},{"alpha_index":1263,"clock_position":1263,"value":271}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,392,610,828,1046,1264],"clock_positions":[174,392,610,828,1046,1264],"native_values":[296,180,537,357,473,116],"rotation_degrees":47.88990825688074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":296},{"alpha_index":392,"clock_position":392,"value":180},{"alpha_index":610,"clock_position":610,"value":537},{"alpha_index":828,"clock_position":828,"value":357},{"alpha_index":1046,"clock_position":1046,"value":473},{"alpha_index":1264,"clock_position":1264,"value":116}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,393,611,829,1047,1265],"clock_positions":[175,393,611,829,1047,1265],"native_values":[77,343,266,576,310,387],"rotation_degrees":48.1651376146789,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":77},{"alpha_index":393,"clock_position":393,"value":343},{"alpha_index":611,"clock_position":611,"value":266},{"alpha_index":829,"clock_position":829,"value":576},{"alpha_index":1047,"clock_position":1047,"value":310},{"alpha_index":1265,"clock_position":1265,"value":387}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,394,612,830,1048,1266],"clock_positions":[176,394,612,830,1048,1266],"native_values":[373,523,150,280,130,503],"rotation_degrees":48.440366972477065,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":373},{"alpha_index":394,"clock_position":394,"value":523},{"alpha_index":612,"clock_position":612,"value":150},{"alpha_index":830,"clock_position":830,"value":280},{"alpha_index":1048,"clock_position":1048,"value":130},{"alpha_index":1266,"clock_position":1266,"value":503}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,395,613,831,1049,1267],"clock_positions":[177,395,613,831,1049,1267],"native_values":[450,213,416,203,440,237],"rotation_degrees":48.71559633027523,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":450},{"alpha_index":395,"clock_position":395,"value":213},{"alpha_index":613,"clock_position":613,"value":416},{"alpha_index":831,"clock_position":831,"value":203},{"alpha_index":1049,"clock_position":1049,"value":440},{"alpha_index":1267,"clock_position":1267,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,396,614,832,1050,1268],"clock_positions":[178,396,614,832,1050,1268],"native_values":[170,83,566,483,570,87],"rotation_degrees":48.99082568807339,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":170},{"alpha_index":396,"clock_position":396,"value":83},{"alpha_index":614,"clock_position":614,"value":566},{"alpha_index":832,"clock_position":832,"value":483},{"alpha_index":1050,"clock_position":1050,"value":570},{"alpha_index":1268,"clock_position":1268,"value":87}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,397,615,833,1051,1269],"clock_positions":[179,397,615,833,1051,1269],"native_values":[620,296,329,33,357,324],"rotation_degrees":49.26605504587156,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":620},{"alpha_index":397,"clock_position":397,"value":296},{"alpha_index":615,"clock_position":615,"value":329},{"alpha_index":833,"clock_position":833,"value":33},{"alpha_index":1051,"clock_position":1051,"value":357},{"alpha_index":1269,"clock_position":1269,"value":324}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,398,616,834,1052,1270],"clock_positions":[180,398,616,834,1052,1270],"native_values":[137,379,242,516,274,411],"rotation_degrees":49.54128440366973,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":137},{"alpha_index":398,"clock_position":398,"value":379},{"alpha_index":616,"clock_position":616,"value":242},{"alpha_index":834,"clock_position":834,"value":516},{"alpha_index":1052,"clock_position":1052,"value":274},{"alpha_index":1270,"clock_position":1270,"value":411}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,399,617,835,1053,1271],"clock_positions":[181,399,617,835,1053,1271],"native_values":[104,22,571,549,631,82],"rotation_degrees":49.81651376146789,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":104},{"alpha_index":399,"clock_position":399,"value":22},{"alpha_index":617,"clock_position":617,"value":571},{"alpha_index":835,"clock_position":835,"value":549},{"alpha_index":1053,"clock_position":1053,"value":631},{"alpha_index":1271,"clock_position":1271,"value":82}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,400,618,836,1054,1272],"clock_positions":[182,400,618,836,1054,1272],"native_values":[241,401,160,412,252,493],"rotation_degrees":50.091743119266056,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":241},{"alpha_index":400,"clock_position":400,"value":401},{"alpha_index":618,"clock_position":618,"value":160},{"alpha_index":836,"clock_position":836,"value":412},{"alpha_index":1054,"clock_position":1054,"value":252},{"alpha_index":1272,"clock_position":1272,"value":493}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,401,619,837,1055,1273],"clock_positions":[183,401,619,837,1055,1273],"native_values":[345,423,78,308,230,575],"rotation_degrees":50.36697247706422,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":345},{"alpha_index":401,"clock_position":401,"value":423},{"alpha_index":619,"clock_position":619,"value":78},{"alpha_index":837,"clock_position":837,"value":308},{"alpha_index":1055,"clock_position":1055,"value":230},{"alpha_index":1273,"clock_position":1273,"value":575}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,402,620,838,1056,1274],"clock_positions":[184,402,620,838,1056,1274],"native_values":[586,171,238,67,482,415],"rotation_degrees":50.642201834862384,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":586},{"alpha_index":402,"clock_position":402,"value":171},{"alpha_index":620,"clock_position":620,"value":238},{"alpha_index":838,"clock_position":838,"value":67},{"alpha_index":1056,"clock_position":1056,"value":482},{"alpha_index":1274,"clock_position":1274,"value":415}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,403,621,839,1057,1275],"clock_positions":[185,403,621,839,1057,1275],"native_values":[278,594,316,375,59,337],"rotation_degrees":50.91743119266055,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":278},{"alpha_index":403,"clock_position":403,"value":594},{"alpha_index":621,"clock_position":621,"value":316},{"alpha_index":839,"clock_position":839,"value":375},{"alpha_index":1057,"clock_position":1057,"value":59},{"alpha_index":1275,"clock_position":1275,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,404,622,840,1058,1276],"clock_positions":[186,404,622,840,1058,1276],"native_values":[211,112,554,442,541,99],"rotation_degrees":51.19266055045872,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":211},{"alpha_index":404,"clock_position":404,"value":112},{"alpha_index":622,"clock_position":622,"value":554},{"alpha_index":840,"clock_position":840,"value":442},{"alpha_index":1058,"clock_position":1058,"value":541},{"alpha_index":1276,"clock_position":1276,"value":99}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,405,623,841,1059,1277],"clock_positions":[187,405,623,841,1059,1277],"native_values":[489,53,217,164,600,436],"rotation_degrees":51.46788990825688,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":489},{"alpha_index":405,"clock_position":405,"value":53},{"alpha_index":623,"clock_position":623,"value":217},{"alpha_index":841,"clock_position":841,"value":164},{"alpha_index":1059,"clock_position":1059,"value":600},{"alpha_index":1277,"clock_position":1277,"value":436}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,406,624,842,1060,1278],"clock_positions":[188,406,624,842,1060,1278],"native_values":[47,165,118,606,488,535],"rotation_degrees":51.74311926605505,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":47},{"alpha_index":406,"clock_position":406,"value":165},{"alpha_index":624,"clock_position":624,"value":118},{"alpha_index":842,"clock_position":842,"value":606},{"alpha_index":1060,"clock_position":1060,"value":488},{"alpha_index":1278,"clock_position":1278,"value":535}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,407,625,843,1061,1279],"clock_positions":[189,407,625,843,1061,1279],"native_values":[536,218,335,117,435,318],"rotation_degrees":52.018348623853214,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":536},{"alpha_index":407,"clock_position":407,"value":218},{"alpha_index":625,"clock_position":625,"value":335},{"alpha_index":843,"clock_position":843,"value":117},{"alpha_index":1061,"clock_position":1061,"value":435},{"alpha_index":1279,"clock_position":1279,"value":318}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,408,626,844,1062,1280],"clock_positions":[190,408,626,844,1062,1280],"native_values":[583,383,453,70,270,200],"rotation_degrees":52.293577981651374,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":583},{"alpha_index":408,"clock_position":408,"value":383},{"alpha_index":626,"clock_position":626,"value":453},{"alpha_index":844,"clock_position":844,"value":70},{"alpha_index":1062,"clock_position":1062,"value":270},{"alpha_index":1280,"clock_position":1280,"value":200}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,409,627,845,1063,1281],"clock_positions":[191,409,627,845,1063,1281],"native_values":[466,601,135,187,52,518],"rotation_degrees":52.56880733944954,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":466},{"alpha_index":409,"clock_position":409,"value":601},{"alpha_index":627,"clock_position":627,"value":135},{"alpha_index":845,"clock_position":845,"value":187},{"alpha_index":1063,"clock_position":1063,"value":52},{"alpha_index":1281,"clock_position":1281,"value":518}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,410,628,846,1064,1282],"clock_positions":[192,410,628,846,1064,1282],"native_values":[396,331,588,257,322,65],"rotation_degrees":52.84403669724771,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":396},{"alpha_index":410,"clock_position":410,"value":331},{"alpha_index":628,"clock_position":628,"value":588},{"alpha_index":846,"clock_position":846,"value":257},{"alpha_index":1064,"clock_position":1064,"value":322},{"alpha_index":1282,"clock_position":1282,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,411,629,847,1065,1283],"clock_positions":[193,411,629,847,1065,1283],"native_values":[209,279,70,444,374,583],"rotation_degrees":53.11926605504587,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":209},{"alpha_index":411,"clock_position":411,"value":279},{"alpha_index":629,"clock_position":629,"value":70},{"alpha_index":847,"clock_position":847,"value":444},{"alpha_index":1065,"clock_position":1065,"value":374},{"alpha_index":1283,"clock_position":1283,"value":583}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,412,630,848,1066,1284],"clock_positions":[194,412,630,848,1066,1284],"native_values":[605,610,5,48,43,648],"rotation_degrees":53.39449541284404,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":605},{"alpha_index":412,"clock_position":412,"value":610},{"alpha_index":630,"clock_position":630,"value":5},{"alpha_index":848,"clock_position":848,"value":48},{"alpha_index":1066,"clock_position":1066,"value":43},{"alpha_index":1284,"clock_position":1284,"value":648}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,413,631,849,1067,1285],"clock_positions":[195,413,631,849,1067,1285],"native_values":[161,236,75,492,417,578],"rotation_degrees":53.669724770642205,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":161},{"alpha_index":413,"clock_position":413,"value":236},{"alpha_index":631,"clock_position":631,"value":75},{"alpha_index":849,"clock_position":849,"value":492},{"alpha_index":1067,"clock_position":1067,"value":417},{"alpha_index":1285,"clock_position":1285,"value":578}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,414,632,850,1068,1286],"clock_positions":[196,414,632,850,1068,1286],"native_values":[113,193,80,540,460,573],"rotation_degrees":53.944954128440365,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":113},{"alpha_index":414,"clock_position":414,"value":193},{"alpha_index":632,"clock_position":632,"value":80},{"alpha_index":850,"clock_position":850,"value":540},{"alpha_index":1068,"clock_position":1068,"value":460},{"alpha_index":1286,"clock_position":1286,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,415,633,851,1069,1287],"clock_positions":[197,415,633,851,1069,1287],"native_values":[274,429,155,379,224,498],"rotation_degrees":54.22018348623853,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":274},{"alpha_index":415,"clock_position":415,"value":429},{"alpha_index":633,"clock_position":633,"value":155},{"alpha_index":851,"clock_position":851,"value":379},{"alpha_index":1069,"clock_position":1069,"value":224},{"alpha_index":1287,"clock_position":1287,"value":498}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,416,634,852,1070,1288],"clock_positions":[198,416,634,852,1070,1288],"native_values":[387,622,235,266,31,418],"rotation_degrees":54.4954128440367,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":387},{"alpha_index":416,"clock_position":416,"value":622},{"alpha_index":634,"clock_position":634,"value":235},{"alpha_index":852,"clock_position":852,"value":266},{"alpha_index":1070,"clock_position":1070,"value":31},{"alpha_index":1288,"clock_position":1288,"value":418}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,417,635,853,1071,1289],"clock_positions":[199,417,635,853,1071,1289],"native_values":[8,398,390,645,255,263],"rotation_degrees":54.77064220183486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":8},{"alpha_index":417,"clock_position":417,"value":398},{"alpha_index":635,"clock_position":635,"value":390},{"alpha_index":853,"clock_position":853,"value":645},{"alpha_index":1071,"clock_position":1071,"value":255},{"alpha_index":1289,"clock_position":1289,"value":263}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,418,636,854,1072,1290],"clock_positions":[200,418,636,854,1072,1290],"native_values":[395,367,625,258,286,28],"rotation_degrees":55.04587155963303,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":395},{"alpha_index":418,"clock_position":418,"value":367},{"alpha_index":636,"clock_position":636,"value":625},{"alpha_index":854,"clock_position":854,"value":258},{"alpha_index":1072,"clock_position":1072,"value":286},{"alpha_index":1290,"clock_position":1290,"value":28}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,419,637,855,1073,1291],"clock_positions":[201,419,637,855,1073,1291],"native_values":[403,112,362,250,541,291],"rotation_degrees":55.321100917431195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":403},{"alpha_index":419,"clock_position":419,"value":112},{"alpha_index":637,"clock_position":637,"value":362},{"alpha_index":855,"clock_position":855,"value":250},{"alpha_index":1073,"clock_position":1073,"value":541},{"alpha_index":1291,"clock_position":1291,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,420,638,856,1074,1292],"clock_positions":[202,420,638,856,1074,1292],"native_values":[145,479,334,508,174,319],"rotation_degrees":55.596330275229356,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":145},{"alpha_index":420,"clock_position":420,"value":479},{"alpha_index":638,"clock_position":638,"value":334},{"alpha_index":856,"clock_position":856,"value":508},{"alpha_index":1074,"clock_position":1074,"value":174},{"alpha_index":1292,"clock_position":1292,"value":319}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,421,639,857,1075,1293],"clock_positions":[203,421,639,857,1075,1293],"native_values":[548,591,43,105,62,610],"rotation_degrees":55.87155963302752,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":548},{"alpha_index":421,"clock_position":421,"value":591},{"alpha_index":639,"clock_position":639,"value":43},{"alpha_index":857,"clock_position":857,"value":105},{"alpha_index":1075,"clock_position":1075,"value":62},{"alpha_index":1293,"clock_position":1293,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,422,640,858,1076,1294],"clock_positions":[204,422,640,858,1076,1294],"native_values":[40,417,377,613,236,276],"rotation_degrees":56.14678899082569,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":40},{"alpha_index":422,"clock_position":422,"value":417},{"alpha_index":640,"clock_position":640,"value":377},{"alpha_index":858,"clock_position":858,"value":613},{"alpha_index":1076,"clock_position":1076,"value":236},{"alpha_index":1294,"clock_position":1294,"value":276}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,423,641,859,1077,1295],"clock_positions":[205,423,641,859,1077,1295],"native_values":[588,355,420,65,298,233],"rotation_degrees":56.42201834862385,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":588},{"alpha_index":423,"clock_position":423,"value":355},{"alpha_index":641,"clock_position":641,"value":420},{"alpha_index":859,"clock_position":859,"value":65},{"alpha_index":1077,"clock_position":1077,"value":298},{"alpha_index":1295,"clock_position":1295,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,424,642,860,1078,1296],"clock_positions":[206,424,642,860,1078,1296],"native_values":[628,119,144,25,534,509],"rotation_degrees":56.69724770642202,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":628},{"alpha_index":424,"clock_position":424,"value":119},{"alpha_index":642,"clock_position":642,"value":144},{"alpha_index":860,"clock_position":860,"value":25},{"alpha_index":1078,"clock_position":1078,"value":534},{"alpha_index":1296,"clock_position":1296,"value":509}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,425,643,861,1079,1297],"clock_positions":[207,425,643,861,1079,1297],"native_values":[563,474,564,90,179,89],"rotation_degrees":56.972477064220186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":563},{"alpha_index":425,"clock_position":425,"value":474},{"alpha_index":643,"clock_position":643,"value":564},{"alpha_index":861,"clock_position":861,"value":90},{"alpha_index":1079,"clock_position":1079,"value":179},{"alpha_index":1297,"clock_position":1297,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,426,644,862,1080,1298],"clock_positions":[208,426,644,862,1080,1298],"native_values":[538,593,55,115,60,598],"rotation_degrees":57.24770642201835,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":538},{"alpha_index":426,"clock_position":426,"value":593},{"alpha_index":644,"clock_position":644,"value":55},{"alpha_index":862,"clock_position":862,"value":115},{"alpha_index":1080,"clock_position":1080,"value":60},{"alpha_index":1298,"clock_position":1298,"value":598}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,427,645,863,1081,1299],"clock_positions":[209,427,645,863,1081,1299],"native_values":[448,414,619,205,239,34],"rotation_degrees":57.522935779816514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":448},{"alpha_index":427,"clock_position":427,"value":414},{"alpha_index":645,"clock_position":645,"value":619},{"alpha_index":863,"clock_position":863,"value":205},{"alpha_index":1081,"clock_position":1081,"value":239},{"alpha_index":1299,"clock_position":1299,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,428,646,864,1082,1300],"clock_positions":[210,428,646,864,1082,1300],"native_values":[333,354,21,320,299,632],"rotation_degrees":57.79816513761468,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":333},{"alpha_index":428,"clock_position":428,"value":354},{"alpha_index":646,"clock_position":646,"value":21},{"alpha_index":864,"clock_position":864,"value":320},{"alpha_index":1082,"clock_position":1082,"value":299},{"alpha_index":1300,"clock_position":1300,"value":632}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,429,647,865,1083,1301],"clock_positions":[211,429,647,865,1083,1301],"native_values":[128,115,640,525,538,13],"rotation_degrees":58.07339449541284,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":211,"clock_position":211,"value":128},{"alpha_index":429,"clock_position":429,"value":115},{"alpha_index":647,"clock_position":647,"value":640},{"alpha_index":865,"clock_position":865,"value":525},{"alpha_index":1083,"clock_position":1083,"value":538},{"alpha_index":1301,"clock_position":1301,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,430,648,866,1084,1302],"clock_positions":[212,430,648,866,1084,1302],"native_values":[461,469,8,192,184,645],"rotation_degrees":58.34862385321101,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":461},{"alpha_index":430,"clock_position":430,"value":469},{"alpha_index":648,"clock_position":648,"value":8},{"alpha_index":866,"clock_position":866,"value":192},{"alpha_index":1084,"clock_position":1084,"value":184},{"alpha_index":1302,"clock_position":1302,"value":645}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,431,649,867,1085,1303],"clock_positions":[213,431,649,867,1085,1303],"native_values":[589,584,648,64,69,5],"rotation_degrees":58.62385321100918,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":589},{"alpha_index":431,"clock_position":431,"value":584},{"alpha_index":649,"clock_position":649,"value":648},{"alpha_index":867,"clock_position":867,"value":64},{"alpha_index":1085,"clock_position":1085,"value":69},{"alpha_index":1303,"clock_position":1303,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,432,650,868,1086,1304],"clock_positions":[214,432,650,868,1086,1304],"native_values":[397,400,3,256,253,650],"rotation_degrees":58.89908256880734,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":397},{"alpha_index":432,"clock_position":432,"value":400},{"alpha_index":868,"clock_position":868,"value":256},{"alpha_index":1086,"clock_position":1086,"value":253},{"alpha_index":1304,"clock_position":1304,"value":650}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,433,651,869,1087,1305],"clock_positions":[215,433,651,869,1087,1305],"native_values":[333,331,651,320,322,2],"rotation_degrees":59.174311926605505,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":333},{"alpha_index":433,"clock_position":433,"value":331},{"alpha_index":651,"clock_position":651,"value":651},{"alpha_index":869,"clock_position":869,"value":320},{"alpha_index":1087,"clock_position":1087,"value":322},{"alpha_index":1305,"clock_position":1305,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,434,652,870,1088,1306],"clock_positions":[216,434,652,870,1088,1306],"native_values":[77,78,1,576,575,652],"rotation_degrees":59.44954128440367,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":77},{"alpha_index":434,"clock_position":434,"value":78},{"alpha_index":652,"clock_position":652,"value":1},{"alpha_index":870,"clock_position":870,"value":576},{"alpha_index":1088,"clock_position":1088,"value":575},{"alpha_index":1306,"clock_position":1306,"value":652}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,435,653,871,1089,1307],"clock_positions":[217,435,653,871,1089,1307],"native_values":[410,409,652,243,244,1],"rotation_degrees":59.72477064220183,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":410},{"alpha_index":435,"clock_position":435,"value":409},{"alpha_index":653,"clock_position":653,"value":652},{"alpha_index":871,"clock_position":871,"value":243},{"alpha_index":1089,"clock_position":1089,"value":244},{"alpha_index":1307,"clock_position":1307,"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/m653/alpha.svg","png":"pilot-v1/views/m653/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m653/beta.svg","png":"pilot-v1/views/m653/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m653/gamma.svg","png":"pilot-v1/views/m653/gamma.png"},{"id":"fibonacci-m653p1308","name":"Fibonacci M653P1308","svg":"pilot-v1/views/m653/fibonacci-m653p1308.svg","png":"pilot-v1/views/m653/fibonacci-m653p1308.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}}