{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m430-p1320","name":"Fibonacci M430P1320","modulus":430,"pisano_period":1320,"conventions":{"index_origin":0,"clock_labels":[1320,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319],"orientation":"clockwise from north","zero_display":430,"alpha_circle_positions":1320,"beta_circle_positions":430,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,180,127,307,4,311,315,196,81,277,358,205,133,338,41,379,420,369,359,298,227,95,322,417,309,296,175,41,216,257,43,300,343,213,126,339,35,374,409,353,332,255,157,412,139,121,260,381,211,162,373,105,48,153,201,354,125,49,174,223,397,190,157,347,74,421,65,56,121,177,298,45,343,388,301,259,130,389,89,48,137,185,322,77,399,46,15,61,76,137,213,350,133,53,186,239,425,234,229,33,262,295,127,422,119,111,230,341,141,52,193,245,8,253,261,84,345,429,344,343,257,170,427,167,164,331,65,396,31,427,28,25,53,78,131,209,340,119,29,148,177,325,72,397,39,6,45,51,96,147,243,390,203,163,366,99,35,134,169,303,42,345,387,302,259,131,390,91,51,142,193,335,98,3,101,104,205,309,84,393,47,10,57,67,124,191,315,76,391,37,428,35,33,68,101,169,270,9,279,288,137,425,132,127,259,386,215,171,386,127,83,210,293,73,366,9,375,384,329,283,182,35,217,252,39,291,330,191,91,282,373,225,168,393,131,94,225,319,114,3,117,120,237,357,164,91,255,346,171,87,258,345,173,88,261,349,180,99,279,378,227,175,402,147,119,266,385,221,176,397,143,110,253,363,186,119,305,424,299,293,162,25,187,212,399,181,150,331,51,382,3,385,388,343,301,214,85,299,384,253,207,30,237,267,74,341,415,326,311,207,88,295,383,248,201,19,220,239,29,268,297,135,2,137,139,276,415,261,246,77,323,400,293,263,126,389,85,44,129,173,302,45,347,392,309,271,150,421,141,132,273,405,248,223,41,264,305,139,14,153,167,320,57,377,4,381,385,336,291,197,58,255,313,138,21,159,180,339,89,428,87,85,172,257,429,256,255,81,336,417,323,310,203,83,286,369,225,164,389,123,82,205,287,62,349,411,330,311,211,92,303,395,268,233,71,304,375,249,194,13,207,220,427,217,214,1,215,216,1,217,218,5,223,228,21,249,270,89,359,18,377,395,342,307,219,96,315,411,296,277,143,420,133,123,256,379,205,154,359,83,12,95,107,202,309,81,390,41,1,42,43,85,128,213,341,124,35,159,194,353,117,40,157,197,354,121,45,166,211,377,158,105,263,368,201,139,340,49,389,8,397,405,372,347,289,206,65,271,336,177,83,260,343,173,86,259,345,174,89,263,352,185,107,292,399,261,230,61,291,352,213,135,348,53,401,24,425,19,14,33,47,80,127,207,334,111,15,126,141,267,408,245,223,38,261,299,130,429,129,128,257,385,212,167,379,116,65,181,246,427,243,240,53,293,346,209,125,334,29,363,392,325,287,182,39,221,260,51,311,362,243,175,418,163,151,314,35,349,384,303,257,130,387,87,44,131,175,306,51,357,408,335,313,218,101,319,420,309,299,178,47,225,272,67,339,406,315,291,176,37,213,250,33,283,316,169,55,224,279,73,352,425,347,342,259,171,0,171,171,342,83,425,78,73,151,224,375,169,114,283,397,250,217,37,254,291,115,406,91,67,158,225,383,178,131,309,10,319,329,218,117,335,22,357,379,306,255,131,386,87,43,130,173,303,46,349,395,314,279,163,12,175,187,362,119,51,170,221,391,182,143,325,38,363,401,334,305,209,84,293,377,240,187,427,184,181,365,116,51,167,218,385,173,128,301,429,300,299,169,38,207,245,22,267,289,126,415,111,96,207,303,80,383,33,416,19,5,24,29,53,82,135,217,352,139,61,200,261,31,292,323,185,78,263,341,174,85,259,344,173,87,260,347,177,94,271,365,206,141,347,58,405,33,8,41,49,90,139,229,368,167,105,272,377,219,166,385,121,76,197,273,40,313,353,236,159,395,124,89,213,302,85,387,42,429,41,40,81,121,202,323,95,418,83,71,154,225,379,174,123,297,420,287,277,134,411,115,96,211,307,88,395,53,18,71,89,160,249,409,228,207,5,212,217,429,216,215,1,216,217,3,220,223,13,236,249,55,304,359,233,162,395,127,92,219,311,100,411,81,62,143,205,348,123,41,164,205,369,144,83,227,310,107,417,94,81,175,256,1,257,258,85,343,428,341,339,250,159,409,138,117,255,372,197,139,336,45,381,426,377,373,320,263,153,416,139,125,264,389,223,182,405,157,132,289,421,280,271,121,392,83,45,128,173,301,44,345,389,304,263,137,400,107,77,184,261,15,276,291,137,428,135,133,268,401,239,210,19,229,248,47,295,342,207,119,326,15,341,356,267,193,30,223,253,46,299,345,214,129,343,42,385,427,382,379,331,280,181,31,212,243,25,268,293,131,424,125,119,244,363,177,110,287,397,254,221,45,266,311,147,28,175,203,378,151,99,250,349,169,88,257,345,172,87,259,346,175,91,266,357,193,120,313,3,316,319,205,94,299,393,262,225,57,282,339,191,100,291,391,252,213,35,248,283,101,384,55,9,64,73,137,210,347,127,44,171,215,386,171,127,298,425,293,288,151,9,160,169,329,68,397,35,2,37,39,76,115,191,306,67,373,10,383,393,346,309,225,104,329,3,332,335,237,142,379,91,40,131,171,302,43,345,388,303,261,134,395,99,64,163,227,390,187,147,334,51,385,6,391,397,358,325,253,148,401,119,90,209,299,78,377,25,402,427,399,396,365,331,266,167,3,170,173,343,86,429,85,84,169,253,422,245,237,52,289,341,200,111,311,422,303,295,168,33,201,234,5,239,244,53,297,350,217,137,354,61,415,46,31,77,108,185,293,48,341,389,300,259,129,388,87,45,132,177,309,56,365,421,356,347,273,190,33,223,256,49,305,354,229,153,382,105,57,162,219,381,170,121,291,412,273,255,98,353,21,374,395,339,304,213,87,300,387,257,214,41,255,296,121,417,108,95,203,298,71,369,10,379,389,338,297,205,72,277,349,196,115,311,426,307,303,180,53,233,286,89,375,34,409,13,422,5,427,2,429,1],"display_values":[430,1,1,2,3,5,8,13,21,34,55,89,144,233,377,180,127,307,4,311,315,196,81,277,358,205,133,338,41,379,420,369,359,298,227,95,322,417,309,296,175,41,216,257,43,300,343,213,126,339,35,374,409,353,332,255,157,412,139,121,260,381,211,162,373,105,48,153,201,354,125,49,174,223,397,190,157,347,74,421,65,56,121,177,298,45,343,388,301,259,130,389,89,48,137,185,322,77,399,46,15,61,76,137,213,350,133,53,186,239,425,234,229,33,262,295,127,422,119,111,230,341,141,52,193,245,8,253,261,84,345,429,344,343,257,170,427,167,164,331,65,396,31,427,28,25,53,78,131,209,340,119,29,148,177,325,72,397,39,6,45,51,96,147,243,390,203,163,366,99,35,134,169,303,42,345,387,302,259,131,390,91,51,142,193,335,98,3,101,104,205,309,84,393,47,10,57,67,124,191,315,76,391,37,428,35,33,68,101,169,270,9,279,288,137,425,132,127,259,386,215,171,386,127,83,210,293,73,366,9,375,384,329,283,182,35,217,252,39,291,330,191,91,282,373,225,168,393,131,94,225,319,114,3,117,120,237,357,164,91,255,346,171,87,258,345,173,88,261,349,180,99,279,378,227,175,402,147,119,266,385,221,176,397,143,110,253,363,186,119,305,424,299,293,162,25,187,212,399,181,150,331,51,382,3,385,388,343,301,214,85,299,384,253,207,30,237,267,74,341,415,326,311,207,88,295,383,248,201,19,220,239,29,268,297,135,2,137,139,276,415,261,246,77,323,400,293,263,126,389,85,44,129,173,302,45,347,392,309,271,150,421,141,132,273,405,248,223,41,264,305,139,14,153,167,320,57,377,4,381,385,336,291,197,58,255,313,138,21,159,180,339,89,428,87,85,172,257,429,256,255,81,336,417,323,310,203,83,286,369,225,164,389,123,82,205,287,62,349,411,330,311,211,92,303,395,268,233,71,304,375,249,194,13,207,220,427,217,214,1,215,216,1,217,218,5,223,228,21,249,270,89,359,18,377,395,342,307,219,96,315,411,296,277,143,420,133,123,256,379,205,154,359,83,12,95,107,202,309,81,390,41,1,42,43,85,128,213,341,124,35,159,194,353,117,40,157,197,354,121,45,166,211,377,158,105,263,368,201,139,340,49,389,8,397,405,372,347,289,206,65,271,336,177,83,260,343,173,86,259,345,174,89,263,352,185,107,292,399,261,230,61,291,352,213,135,348,53,401,24,425,19,14,33,47,80,127,207,334,111,15,126,141,267,408,245,223,38,261,299,130,429,129,128,257,385,212,167,379,116,65,181,246,427,243,240,53,293,346,209,125,334,29,363,392,325,287,182,39,221,260,51,311,362,243,175,418,163,151,314,35,349,384,303,257,130,387,87,44,131,175,306,51,357,408,335,313,218,101,319,420,309,299,178,47,225,272,67,339,406,315,291,176,37,213,250,33,283,316,169,55,224,279,73,352,425,347,342,259,171,430,171,171,342,83,425,78,73,151,224,375,169,114,283,397,250,217,37,254,291,115,406,91,67,158,225,383,178,131,309,10,319,329,218,117,335,22,357,379,306,255,131,386,87,43,130,173,303,46,349,395,314,279,163,12,175,187,362,119,51,170,221,391,182,143,325,38,363,401,334,305,209,84,293,377,240,187,427,184,181,365,116,51,167,218,385,173,128,301,429,300,299,169,38,207,245,22,267,289,126,415,111,96,207,303,80,383,33,416,19,5,24,29,53,82,135,217,352,139,61,200,261,31,292,323,185,78,263,341,174,85,259,344,173,87,260,347,177,94,271,365,206,141,347,58,405,33,8,41,49,90,139,229,368,167,105,272,377,219,166,385,121,76,197,273,40,313,353,236,159,395,124,89,213,302,85,387,42,429,41,40,81,121,202,323,95,418,83,71,154,225,379,174,123,297,420,287,277,134,411,115,96,211,307,88,395,53,18,71,89,160,249,409,228,207,5,212,217,429,216,215,1,216,217,3,220,223,13,236,249,55,304,359,233,162,395,127,92,219,311,100,411,81,62,143,205,348,123,41,164,205,369,144,83,227,310,107,417,94,81,175,256,1,257,258,85,343,428,341,339,250,159,409,138,117,255,372,197,139,336,45,381,426,377,373,320,263,153,416,139,125,264,389,223,182,405,157,132,289,421,280,271,121,392,83,45,128,173,301,44,345,389,304,263,137,400,107,77,184,261,15,276,291,137,428,135,133,268,401,239,210,19,229,248,47,295,342,207,119,326,15,341,356,267,193,30,223,253,46,299,345,214,129,343,42,385,427,382,379,331,280,181,31,212,243,25,268,293,131,424,125,119,244,363,177,110,287,397,254,221,45,266,311,147,28,175,203,378,151,99,250,349,169,88,257,345,172,87,259,346,175,91,266,357,193,120,313,3,316,319,205,94,299,393,262,225,57,282,339,191,100,291,391,252,213,35,248,283,101,384,55,9,64,73,137,210,347,127,44,171,215,386,171,127,298,425,293,288,151,9,160,169,329,68,397,35,2,37,39,76,115,191,306,67,373,10,383,393,346,309,225,104,329,3,332,335,237,142,379,91,40,131,171,302,43,345,388,303,261,134,395,99,64,163,227,390,187,147,334,51,385,6,391,397,358,325,253,148,401,119,90,209,299,78,377,25,402,427,399,396,365,331,266,167,3,170,173,343,86,429,85,84,169,253,422,245,237,52,289,341,200,111,311,422,303,295,168,33,201,234,5,239,244,53,297,350,217,137,354,61,415,46,31,77,108,185,293,48,341,389,300,259,129,388,87,45,132,177,309,56,365,421,356,347,273,190,33,223,256,49,305,354,229,153,382,105,57,162,219,381,170,121,291,412,273,255,98,353,21,374,395,339,304,213,87,300,387,257,214,41,255,296,121,417,108,95,203,298,71,369,10,379,389,338,297,205,72,277,349,196,115,311,426,307,303,180,53,233,286,89,375,34,409,13,422,5,427,2,429,1]},"gamma":{"alpha_indices":[0,4,8,12,15,20,22,30,31,37,38,42,45,47,48,49,55,61,63,65,66,67,68,69,72,83,85,93,98,100,104,108,111,113,119,122,128,129,130,131,141,147,154,156,158,159,160,161,162,163,164,165,168,169,173,174,175,176,180,182,187,191,192,193,196,200,206,210,211,212,213,216,221,225,228,229,230,231,237,238,239,240,243,245,246,247,250,252,253,254,255,256,257,260,262,263,264,265,268,270,271,272,273,276,277,287,288,294,298,300,302,304,312,314,315,316,317,323,328,334,335,339,341,342,348,352,355,358,360,362,363,364,365,369,373,376,379,381,382,385,387,388,389,390,391,394,398,400,401,402,403,409,410,413,419,420,424,430,431,434,441,447,448,449,450,453,456,458,459,460,461,465,467,474,478,479,480,483,487,491,494,498,500,505,508,515,516,522,523,530,531,538,539,542,544,545,546,549,553,557,559,560,561,562,563,564,568,571,572,582,584,585,593,598,601,604,612,613,616,617,621,622,623,624,630,631,635,638,640,641,644,646,652,657,659,660,661,662,663,666,670,672,679,685,689,694,697,699,700,703,707,712,714,719,727,732,735,742,749,750,754,757,759,761,762,763,764,767,771,775,781,786,789,794,797,802,805,806,810,815,818,824,829,833,836,837,838,841,850,852,853,854,855,859,861,867,871,873,874,878,879,882,884,889,894,898,901,902,906,907,911,912,917,919,924,929,931,933,934,935,936,939,940,941,942,947,951,955,957,965,970,979,980,981,982,985,990,996,997,1000,1003,1005,1010,1012,1014,1024,1033,1034,1040,1043,1047,1049,1055,1057,1063,1065,1067,1073,1075,1076,1077,1078,1081,1083,1084,1089,1091,1095,1099,1102,1107,1109,1118,1122,1127,1129,1130,1133,1136,1142,1145,1147,1148,1151,1155,1157,1159,1161,1170,1173,1176,1178,1179,1184,1189,1191,1196,1201,1204,1206,1207,1208,1209,1214,1218,1224,1227,1230,1232,1234,1235,1236,1237,1238,1244,1246,1251,1253,1255,1256,1257,1258,1259,1262,1264,1265,1268,1271,1273,1274,1275,1276,1280,1283,1284,1289,1294,1296,1302,1304,1305,1310,1318],"clock_positions":[1320,4,8,12,15,20,22,30,31,37,38,42,45,47,48,49,55,61,63,65,66,67,68,69,72,83,85,93,98,100,104,108,111,113,119,122,128,129,130,131,141,147,154,156,158,159,160,161,162,163,164,165,168,169,173,174,175,176,180,182,187,191,192,193,196,200,206,210,211,212,213,216,221,225,228,229,230,231,237,238,239,240,243,245,246,247,250,252,253,254,255,256,257,260,262,263,264,265,268,270,271,272,273,276,277,287,288,294,298,300,302,304,312,314,315,316,317,323,328,334,335,339,341,342,348,352,355,358,360,362,363,364,365,369,373,376,379,381,382,385,387,388,389,390,391,394,398,400,401,402,403,409,410,413,419,420,424,430,431,434,441,447,448,449,450,453,456,458,459,460,461,465,467,474,478,479,480,483,487,491,494,498,500,505,508,515,516,522,523,530,531,538,539,542,544,545,546,549,553,557,559,560,561,562,563,564,568,571,572,582,584,585,593,598,601,604,612,613,616,617,621,622,623,624,630,631,635,638,640,641,644,646,652,657,659,660,661,662,663,666,670,672,679,685,689,694,697,699,700,703,707,712,714,719,727,732,735,742,749,750,754,757,759,761,762,763,764,767,771,775,781,786,789,794,797,802,805,806,810,815,818,824,829,833,836,837,838,841,850,852,853,854,855,859,861,867,871,873,874,878,879,882,884,889,894,898,901,902,906,907,911,912,917,919,924,929,931,933,934,935,936,939,940,941,942,947,951,955,957,965,970,979,980,981,982,985,990,996,997,1000,1003,1005,1010,1012,1014,1024,1033,1034,1040,1043,1047,1049,1055,1057,1063,1065,1067,1073,1075,1076,1077,1078,1081,1083,1084,1089,1091,1095,1099,1102,1107,1109,1118,1122,1127,1129,1130,1133,1136,1142,1145,1147,1148,1151,1155,1157,1159,1161,1170,1173,1176,1178,1179,1184,1189,1191,1196,1201,1204,1206,1207,1208,1209,1214,1218,1224,1227,1230,1232,1234,1235,1236,1237,1238,1244,1246,1251,1253,1255,1256,1257,1258,1259,1262,1264,1265,1268,1271,1273,1274,1275,1276,1280,1283,1284,1289,1294,1296,1302,1304,1305,1310,1318],"clockwise_values":[430,3,21,144,180,315,81,420,369,417,309,216,300,213,126,339,255,381,162,105,48,153,201,354,174,177,45,48,399,15,213,186,234,33,111,141,261,84,345,429,396,78,177,72,39,6,45,51,96,147,243,390,366,99,303,42,345,387,390,51,3,309,84,393,57,315,33,270,9,279,288,132,171,210,366,9,375,384,252,39,291,330,282,225,168,393,225,114,3,117,120,237,357,255,171,87,258,345,261,180,99,279,378,402,147,363,186,162,399,150,51,3,384,207,30,237,267,207,201,297,135,276,261,246,126,129,45,309,150,141,132,273,405,264,153,57,381,336,291,255,138,21,159,180,339,87,429,255,81,336,417,369,225,123,411,330,303,375,249,207,216,228,21,249,270,18,342,219,96,315,411,420,123,12,309,81,390,42,213,159,117,354,45,105,201,405,372,336,177,345,174,399,261,291,213,135,348,24,33,207,111,15,126,141,267,408,261,429,129,246,243,240,363,39,51,243,384,303,387,87,306,51,357,408,420,309,225,339,315,291,213,33,279,342,171,430,171,171,342,78,375,114,291,225,309,117,357,306,255,87,303,279,12,51,363,84,240,51,429,300,207,267,126,111,96,207,303,33,24,135,261,78,174,87,177,141,405,33,90,105,219,273,159,213,387,42,429,81,225,174,123,297,420,411,96,18,249,228,207,429,216,216,3,249,162,219,411,81,348,123,369,144,417,81,258,339,159,138,117,255,372,336,45,381,426,153,264,405,132,45,345,261,15,276,291,135,210,342,207,15,267,30,345,129,42,243,363,177,45,147,378,99,345,87,357,120,3,393,225,57,282,339,291,252,213,384,9,210,171,171,288,9,39,306,393,309,225,3,237,171,345,303,261,99,390,147,51,6,90,78,402,399,396,3,429,84,237,111,303,168,33,201,234,297,354,108,48,300,129,87,45,132,177,309,273,33,354,153,105,57,162,219,381,291,273,255,21,339,213,87,300,387,255,417,108,369,297,72,426,303,180,375,429],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,610,749,196,1731,0,1301,0,512,300,343,0,0,1503,1089,211,373,0,0,0,0,174,2051,298,1899,721,46,274,536,664,229,1225,571,751,0,0,0,2268,564,976,325,397,0,0,0,0,0,0,0,366,0,338,0,0,0,692,91,768,410,0,0,57,382,967,338,0,0,0,562,987,596,366,0,0,0,1046,0,0,0,282,373,0,0,225,319,0,0,0,0,0,255,346,0,0,0,261,349,0,0,0,402,0,2070,0,1440,424,181,331,382,2015,253,0,0,0,1467,1014,775,0,278,415,0,1356,518,475,739,271,421,0,0,0,512,458,487,381,385,0,255,313,0,0,0,0,517,514,256,0,0,0,1205,0,553,985,0,614,1271,0,207,1294,664,0,0,0,448,772,307,0,0,0,716,133,1436,404,0,0,42,256,500,547,394,121,912,631,1322,0,1178,0,1204,0,1288,0,291,352,0,0,454,458,254,334,0,0,0,0,0,506,429,0,1890,427,0,1389,1186,481,673,1605,0,387,0,350,0,0,0,1286,0,524,339,406,0,213,250,1047,1197,259,0,0,0,0,508,448,169,1438,837,692,876,357,379,0,517,346,1104,163,843,1470,1249,670,1460,1372,0,506,267,289,415,0,0,0,463,440,164,969,831,604,861,607,936,405,0,98,903,649,945,942,608,387,0,0,81,1467,379,0,0,0,698,115,1054,320,409,0,434,0,216,217,692,951,614,411,0,410,0,410,0,727,94,689,1197,250,409,0,0,0,336,0,0,0,1333,680,794,157,1857,646,1861,0,0,0,565,1041,838,0,445,697,193,821,214,343,2608,1629,0,1269,577,406,151,1113,172,1137,193,313,1233,262,0,0,0,291,391,0,667,55,274,518,601,1143,151,1197,382,833,346,0,433,667,783,345,388,0,529,454,187,334,385,2392,508,402,427,0,1129,772,85,1089,882,733,295,0,0,0,541,704,630,478,730,259,388,0,0,0,0,1545,190,833,229,382,0,0,0,0,291,412,0,451,769,304,0,0,0,512,417,0,667,1116,205,1248,307,0,661,1312,1],"interval_residues":[4,26,178,180,319,196,11,0,11,0,82,300,343,0,0,213,229,211,373,0,0,0,0,174,331,298,179,291,46,274,106,234,229,365,141,321,0,0,0,118,134,116,325,397,0,0,0,0,0,0,0,366,0,338,0,0,0,262,91,338,410,0,0,57,382,107,338,0,0,0,132,127,166,366,0,0,0,186,0,0,0,282,373,0,0,225,319,0,0,0,0,0,255,346,0,0,0,261,349,0,0,0,402,0,350,0,150,424,181,331,382,295,253,0,0,0,177,154,345,0,278,415,0,66,88,45,309,271,421,0,0,0,82,28,57,381,385,0,255,313,0,0,0,0,87,84,256,0,0,0,345,0,123,125,0,184,411,0,207,4,234,0,0,0,18,342,307,0,0,0,286,133,146,404,0,0,42,256,70,117,394,121,52,201,32,0,318,0,344,0,428,0,291,352,0,0,24,28,254,334,0,0,0,0,0,76,429,0,170,427,0,99,326,51,243,315,0,387,0,350,0,0,0,426,0,94,339,406,0,213,250,187,337,259,0,0,0,0,78,18,169,148,407,262,16,357,379,0,87,346,244,163,413,180,389,240,170,82,0,76,267,289,415,0,0,0,33,10,164,109,401,174,1,177,76,405,0,98,43,219,85,82,178,387,0,0,81,177,379,0,0,0,268,115,194,320,409,0,4,0,216,217,262,91,184,411,0,410,0,410,0,297,94,259,337,250,409,0,0,0,336,0,0,0,43,250,364,157,137,216,141,0,0,0,135,181,408,0,15,267,193,391,214,343,28,339,0,409,147,406,151,253,172,277,193,313,373,262,0,0,0,291,391,0,237,55,274,88,171,283,151,337,382,403,346,0,3,237,353,345,388,0,99,24,187,334,385,242,78,402,427,0,269,342,85,229,22,303,295,0,0,0,111,274,200,48,300,259,388,0,0,0,0,255,190,403,229,382,0,0,0,0,291,412,0,21,339,304,0,0,0,82,417,0,237,256,205,388,307,0,231,22,1],"display_cycle":[4,26,178,180,319,196,11,430,11,430,82,300,343,430,430,213,229,211,373,430,430,430,430,174,331,298,179,291,46,274,106,234,229,365,141,321,430,430,430,118,134,116,325,397,430,430,430,430,430,430,430,366,430,338,430,430,430,262,91,338,410,430,430,57,382,107,338,430,430,430,132,127,166,366,430,430,430,186,430,430,430,282,373,430,430,225,319,430,430,430,430,430,255,346,430,430,430,261,349,430,430,430,402,430,350,430,150,424,181,331,382,295,253,430,430,430,177,154,345,430,278,415,430,66,88,45,309,271,421,430,430,430,82,28,57,381,385,430,255,313,430,430,430,430,87,84,256,430,430,430,345,430,123,125,430,184,411,430,207,4,234,430,430,430,18,342,307,430,430,430,286,133,146,404,430,430,42,256,70,117,394,121,52,201,32,430,318,430,344,430,428,430,291,352,430,430,24,28,254,334,430,430,430,430,430,76,429,430,170,427,430,99,326,51,243,315,430,387,430,350,430,430,430,426,430,94,339,406,430,213,250,187,337,259,430,430,430,430,78,18,169,148,407,262,16,357,379,430,87,346,244,163,413,180,389,240,170,82,430,76,267,289,415,430,430,430,33,10,164,109,401,174,1,177,76,405,430,98,43,219,85,82,178,387,430,430,81,177,379,430,430,430,268,115,194,320,409,430,4,430,216,217,262,91,184,411,430,410,430,410,430,297,94,259,337,250,409,430,430,430,336,430,430,430,43,250,364,157,137,216,141,430,430,430,135,181,408,430,15,267,193,391,214,343,28,339,430,409,147,406,151,253,172,277,193,313,373,262,430,430,430,291,391,430,237,55,274,88,171,283,151,337,382,403,346,430,3,237,353,345,388,430,99,24,187,334,385,242,78,402,427,430,269,342,85,229,22,303,295,430,430,430,111,274,200,48,300,259,388,430,430,430,430,255,190,403,229,382,430,430,430,430,291,412,430,21,339,304,430,430,430,82,417,430,237,256,205,388,307,430,231,22,1],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":15,"interior_indices":[13,14],"interior_values":[233,377],"sum":610,"residue":180},{"from_index":15,"to_index":20,"interior_indices":[16,17,18,19],"interior_values":[127,307,4,311],"sum":749,"residue":319},{"from_index":20,"to_index":22,"interior_indices":[21],"interior_values":[196],"sum":196,"residue":196},{"from_index":22,"to_index":30,"interior_indices":[23,24,25,26,27,28,29],"interior_values":[277,358,205,133,338,41,379],"sum":1731,"residue":11},{"from_index":30,"to_index":31,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":31,"to_index":37,"interior_indices":[32,33,34,35,36],"interior_values":[359,298,227,95,322],"sum":1301,"residue":11},{"from_index":37,"to_index":38,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":38,"to_index":42,"interior_indices":[39,40,41],"interior_values":[296,175,41],"sum":512,"residue":82},{"from_index":42,"to_index":45,"interior_indices":[43,44],"interior_values":[257,43],"sum":300,"residue":300},{"from_index":45,"to_index":47,"interior_indices":[46],"interior_values":[343],"sum":343,"residue":343},{"from_index":47,"to_index":48,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":48,"to_index":49,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":49,"to_index":55,"interior_indices":[50,51,52,53,54],"interior_values":[35,374,409,353,332],"sum":1503,"residue":213},{"from_index":55,"to_index":61,"interior_indices":[56,57,58,59,60],"interior_values":[157,412,139,121,260],"sum":1089,"residue":229},{"from_index":61,"to_index":63,"interior_indices":[62],"interior_values":[211],"sum":211,"residue":211},{"from_index":63,"to_index":65,"interior_indices":[64],"interior_values":[373],"sum":373,"residue":373},{"from_index":65,"to_index":66,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":66,"to_index":67,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":67,"to_index":68,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":68,"to_index":69,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":69,"to_index":72,"interior_indices":[70,71],"interior_values":[125,49],"sum":174,"residue":174},{"from_index":72,"to_index":83,"interior_indices":[73,74,75,76,77,78,79,80,81,82],"interior_values":[223,397,190,157,347,74,421,65,56,121],"sum":2051,"residue":331},{"from_index":83,"to_index":85,"interior_indices":[84],"interior_values":[298],"sum":298,"residue":298},{"from_index":85,"to_index":93,"interior_indices":[86,87,88,89,90,91,92],"interior_values":[343,388,301,259,130,389,89],"sum":1899,"residue":179},{"from_index":93,"to_index":98,"interior_indices":[94,95,96,97],"interior_values":[137,185,322,77],"sum":721,"residue":291},{"from_index":98,"to_index":100,"interior_indices":[99],"interior_values":[46],"sum":46,"residue":46},{"from_index":100,"to_index":104,"interior_indices":[101,102,103],"interior_values":[61,76,137],"sum":274,"residue":274},{"from_index":104,"to_index":108,"interior_indices":[105,106,107],"interior_values":[350,133,53],"sum":536,"residue":106},{"from_index":108,"to_index":111,"interior_indices":[109,110],"interior_values":[239,425],"sum":664,"residue":234},{"from_index":111,"to_index":113,"interior_indices":[112],"interior_values":[229],"sum":229,"residue":229},{"from_index":113,"to_index":119,"interior_indices":[114,115,116,117,118],"interior_values":[262,295,127,422,119],"sum":1225,"residue":365},{"from_index":119,"to_index":122,"interior_indices":[120,121],"interior_values":[230,341],"sum":571,"residue":141},{"from_index":122,"to_index":128,"interior_indices":[123,124,125,126,127],"interior_values":[52,193,245,8,253],"sum":751,"residue":321},{"from_index":128,"to_index":129,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":129,"to_index":130,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":130,"to_index":131,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":131,"to_index":141,"interior_indices":[132,133,134,135,136,137,138,139,140],"interior_values":[344,343,257,170,427,167,164,331,65],"sum":2268,"residue":118},{"from_index":141,"to_index":147,"interior_indices":[142,143,144,145,146],"interior_values":[31,427,28,25,53],"sum":564,"residue":134},{"from_index":147,"to_index":154,"interior_indices":[148,149,150,151,152,153],"interior_values":[131,209,340,119,29,148],"sum":976,"residue":116},{"from_index":154,"to_index":156,"interior_indices":[155],"interior_values":[325],"sum":325,"residue":325},{"from_index":156,"to_index":158,"interior_indices":[157],"interior_values":[397],"sum":397,"residue":397},{"from_index":158,"to_index":159,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":159,"to_index":160,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":160,"to_index":161,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":161,"to_index":162,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":162,"to_index":163,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":163,"to_index":164,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":164,"to_index":165,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":165,"to_index":168,"interior_indices":[166,167],"interior_values":[203,163],"sum":366,"residue":366},{"from_index":168,"to_index":169,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":169,"to_index":173,"interior_indices":[170,171,172],"interior_values":[35,134,169],"sum":338,"residue":338},{"from_index":173,"to_index":174,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":174,"to_index":175,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":175,"to_index":176,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":176,"to_index":180,"interior_indices":[177,178,179],"interior_values":[302,259,131],"sum":692,"residue":262},{"from_index":180,"to_index":182,"interior_indices":[181],"interior_values":[91],"sum":91,"residue":91},{"from_index":182,"to_index":187,"interior_indices":[183,184,185,186],"interior_values":[142,193,335,98],"sum":768,"residue":338},{"from_index":187,"to_index":191,"interior_indices":[188,189,190],"interior_values":[101,104,205],"sum":410,"residue":410},{"from_index":191,"to_index":192,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":192,"to_index":193,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":193,"to_index":196,"interior_indices":[194,195],"interior_values":[47,10],"sum":57,"residue":57},{"from_index":196,"to_index":200,"interior_indices":[197,198,199],"interior_values":[67,124,191],"sum":382,"residue":382},{"from_index":200,"to_index":206,"interior_indices":[201,202,203,204,205],"interior_values":[76,391,37,428,35],"sum":967,"residue":107},{"from_index":206,"to_index":210,"interior_indices":[207,208,209],"interior_values":[68,101,169],"sum":338,"residue":338},{"from_index":210,"to_index":211,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":211,"to_index":212,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":212,"to_index":213,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":213,"to_index":216,"interior_indices":[214,215],"interior_values":[137,425],"sum":562,"residue":132},{"from_index":216,"to_index":221,"interior_indices":[217,218,219,220],"interior_values":[127,259,386,215],"sum":987,"residue":127},{"from_index":221,"to_index":225,"interior_indices":[222,223,224],"interior_values":[386,127,83],"sum":596,"residue":166},{"from_index":225,"to_index":228,"interior_indices":[226,227],"interior_values":[293,73],"sum":366,"residue":366},{"from_index":228,"to_index":229,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":229,"to_index":230,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":230,"to_index":231,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":231,"to_index":237,"interior_indices":[232,233,234,235,236],"interior_values":[329,283,182,35,217],"sum":1046,"residue":186},{"from_index":237,"to_index":238,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":238,"to_index":239,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":239,"to_index":240,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":240,"to_index":243,"interior_indices":[241,242],"interior_values":[191,91],"sum":282,"residue":282},{"from_index":243,"to_index":245,"interior_indices":[244],"interior_values":[373],"sum":373,"residue":373},{"from_index":245,"to_index":246,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":246,"to_index":247,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":247,"to_index":250,"interior_indices":[248,249],"interior_values":[131,94],"sum":225,"residue":225},{"from_index":250,"to_index":252,"interior_indices":[251],"interior_values":[319],"sum":319,"residue":319},{"from_index":252,"to_index":253,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":253,"to_index":254,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":254,"to_index":255,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":255,"to_index":256,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":256,"to_index":257,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":257,"to_index":260,"interior_indices":[258,259],"interior_values":[164,91],"sum":255,"residue":255},{"from_index":260,"to_index":262,"interior_indices":[261],"interior_values":[346],"sum":346,"residue":346},{"from_index":262,"to_index":263,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":263,"to_index":264,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":264,"to_index":265,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":265,"to_index":268,"interior_indices":[266,267],"interior_values":[173,88],"sum":261,"residue":261},{"from_index":268,"to_index":270,"interior_indices":[269],"interior_values":[349],"sum":349,"residue":349},{"from_index":270,"to_index":271,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":271,"to_index":272,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":272,"to_index":273,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":273,"to_index":276,"interior_indices":[274,275],"interior_values":[227,175],"sum":402,"residue":402},{"from_index":276,"to_index":277,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":277,"to_index":287,"interior_indices":[278,279,280,281,282,283,284,285,286],"interior_values":[119,266,385,221,176,397,143,110,253],"sum":2070,"residue":350},{"from_index":287,"to_index":288,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":288,"to_index":294,"interior_indices":[289,290,291,292,293],"interior_values":[119,305,424,299,293],"sum":1440,"residue":150},{"from_index":294,"to_index":298,"interior_indices":[295,296,297],"interior_values":[25,187,212],"sum":424,"residue":424},{"from_index":298,"to_index":300,"interior_indices":[299],"interior_values":[181],"sum":181,"residue":181},{"from_index":300,"to_index":302,"interior_indices":[301],"interior_values":[331],"sum":331,"residue":331},{"from_index":302,"to_index":304,"interior_indices":[303],"interior_values":[382],"sum":382,"residue":382},{"from_index":304,"to_index":312,"interior_indices":[305,306,307,308,309,310,311],"interior_values":[385,388,343,301,214,85,299],"sum":2015,"residue":295},{"from_index":312,"to_index":314,"interior_indices":[313],"interior_values":[253],"sum":253,"residue":253},{"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":323,"interior_indices":[318,319,320,321,322],"interior_values":[74,341,415,326,311],"sum":1467,"residue":177},{"from_index":323,"to_index":328,"interior_indices":[324,325,326,327],"interior_values":[88,295,383,248],"sum":1014,"residue":154},{"from_index":328,"to_index":334,"interior_indices":[329,330,331,332,333],"interior_values":[19,220,239,29,268],"sum":775,"residue":345},{"from_index":334,"to_index":335,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":335,"to_index":339,"interior_indices":[336,337,338],"interior_values":[2,137,139],"sum":278,"residue":278},{"from_index":339,"to_index":341,"interior_indices":[340],"interior_values":[415],"sum":415,"residue":415},{"from_index":341,"to_index":342,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":342,"to_index":348,"interior_indices":[343,344,345,346,347],"interior_values":[77,323,400,293,263],"sum":1356,"residue":66},{"from_index":348,"to_index":352,"interior_indices":[349,350,351],"interior_values":[389,85,44],"sum":518,"residue":88},{"from_index":352,"to_index":355,"interior_indices":[353,354],"interior_values":[173,302],"sum":475,"residue":45},{"from_index":355,"to_index":358,"interior_indices":[356,357],"interior_values":[347,392],"sum":739,"residue":309},{"from_index":358,"to_index":360,"interior_indices":[359],"interior_values":[271],"sum":271,"residue":271},{"from_index":360,"to_index":362,"interior_indices":[361],"interior_values":[421],"sum":421,"residue":421},{"from_index":362,"to_index":363,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":363,"to_index":364,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":364,"to_index":365,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":365,"to_index":369,"interior_indices":[366,367,368],"interior_values":[248,223,41],"sum":512,"residue":82},{"from_index":369,"to_index":373,"interior_indices":[370,371,372],"interior_values":[305,139,14],"sum":458,"residue":28},{"from_index":373,"to_index":376,"interior_indices":[374,375],"interior_values":[167,320],"sum":487,"residue":57},{"from_index":376,"to_index":379,"interior_indices":[377,378],"interior_values":[377,4],"sum":381,"residue":381},{"from_index":379,"to_index":381,"interior_indices":[380],"interior_values":[385],"sum":385,"residue":385},{"from_index":381,"to_index":382,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":382,"to_index":385,"interior_indices":[383,384],"interior_values":[197,58],"sum":255,"residue":255},{"from_index":385,"to_index":387,"interior_indices":[386],"interior_values":[313],"sum":313,"residue":313},{"from_index":387,"to_index":388,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":388,"to_index":389,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":389,"to_index":390,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":390,"to_index":391,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":391,"to_index":394,"interior_indices":[392,393],"interior_values":[89,428],"sum":517,"residue":87},{"from_index":394,"to_index":398,"interior_indices":[395,396,397],"interior_values":[85,172,257],"sum":514,"residue":84},{"from_index":398,"to_index":400,"interior_indices":[399],"interior_values":[256],"sum":256,"residue":256},{"from_index":400,"to_index":401,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":409,"interior_indices":[404,405,406,407,408],"interior_values":[323,310,203,83,286],"sum":1205,"residue":345},{"from_index":409,"to_index":410,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":410,"to_index":413,"interior_indices":[411,412],"interior_values":[164,389],"sum":553,"residue":123},{"from_index":413,"to_index":419,"interior_indices":[414,415,416,417,418],"interior_values":[82,205,287,62,349],"sum":985,"residue":125},{"from_index":419,"to_index":420,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":420,"to_index":424,"interior_indices":[421,422,423],"interior_values":[311,211,92],"sum":614,"residue":184},{"from_index":424,"to_index":430,"interior_indices":[425,426,427,428,429],"interior_values":[395,268,233,71,304],"sum":1271,"residue":411},{"from_index":430,"to_index":431,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":431,"to_index":434,"interior_indices":[432,433],"interior_values":[194,13],"sum":207,"residue":207},{"from_index":434,"to_index":441,"interior_indices":[435,436,437,438,439,440],"interior_values":[220,427,217,214,1,215],"sum":1294,"residue":4},{"from_index":441,"to_index":447,"interior_indices":[442,443,444,445,446],"interior_values":[1,217,218,5,223],"sum":664,"residue":234},{"from_index":447,"to_index":448,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":448,"to_index":449,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":449,"to_index":450,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":450,"to_index":453,"interior_indices":[451,452],"interior_values":[89,359],"sum":448,"residue":18},{"from_index":453,"to_index":456,"interior_indices":[454,455],"interior_values":[377,395],"sum":772,"residue":342},{"from_index":456,"to_index":458,"interior_indices":[457],"interior_values":[307],"sum":307,"residue":307},{"from_index":458,"to_index":459,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":459,"to_index":460,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":460,"to_index":461,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":461,"to_index":465,"interior_indices":[462,463,464],"interior_values":[296,277,143],"sum":716,"residue":286},{"from_index":465,"to_index":467,"interior_indices":[466],"interior_values":[133],"sum":133,"residue":133},{"from_index":467,"to_index":474,"interior_indices":[468,469,470,471,472,473],"interior_values":[256,379,205,154,359,83],"sum":1436,"residue":146},{"from_index":474,"to_index":478,"interior_indices":[475,476,477],"interior_values":[95,107,202],"sum":404,"residue":404},{"from_index":478,"to_index":479,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":479,"to_index":480,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":480,"to_index":483,"interior_indices":[481,482],"interior_values":[41,1],"sum":42,"residue":42},{"from_index":483,"to_index":487,"interior_indices":[484,485,486],"interior_values":[43,85,128],"sum":256,"residue":256},{"from_index":487,"to_index":491,"interior_indices":[488,489,490],"interior_values":[341,124,35],"sum":500,"residue":70},{"from_index":491,"to_index":494,"interior_indices":[492,493],"interior_values":[194,353],"sum":547,"residue":117},{"from_index":494,"to_index":498,"interior_indices":[495,496,497],"interior_values":[40,157,197],"sum":394,"residue":394},{"from_index":498,"to_index":500,"interior_indices":[499],"interior_values":[121],"sum":121,"residue":121},{"from_index":500,"to_index":505,"interior_indices":[501,502,503,504],"interior_values":[166,211,377,158],"sum":912,"residue":52},{"from_index":505,"to_index":508,"interior_indices":[506,507],"interior_values":[263,368],"sum":631,"residue":201},{"from_index":508,"to_index":515,"interior_indices":[509,510,511,512,513,514],"interior_values":[139,340,49,389,8,397],"sum":1322,"residue":32},{"from_index":515,"to_index":516,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":516,"to_index":522,"interior_indices":[517,518,519,520,521],"interior_values":[347,289,206,65,271],"sum":1178,"residue":318},{"from_index":522,"to_index":523,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":523,"to_index":530,"interior_indices":[524,525,526,527,528,529],"interior_values":[83,260,343,173,86,259],"sum":1204,"residue":344},{"from_index":530,"to_index":531,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":531,"to_index":538,"interior_indices":[532,533,534,535,536,537],"interior_values":[89,263,352,185,107,292],"sum":1288,"residue":428},{"from_index":538,"to_index":539,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":539,"to_index":542,"interior_indices":[540,541],"interior_values":[230,61],"sum":291,"residue":291},{"from_index":542,"to_index":544,"interior_indices":[543],"interior_values":[352],"sum":352,"residue":352},{"from_index":544,"to_index":545,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":545,"to_index":546,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":546,"to_index":549,"interior_indices":[547,548],"interior_values":[53,401],"sum":454,"residue":24},{"from_index":549,"to_index":553,"interior_indices":[550,551,552],"interior_values":[425,19,14],"sum":458,"residue":28},{"from_index":553,"to_index":557,"interior_indices":[554,555,556],"interior_values":[47,80,127],"sum":254,"residue":254},{"from_index":557,"to_index":559,"interior_indices":[558],"interior_values":[334],"sum":334,"residue":334},{"from_index":559,"to_index":560,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":560,"to_index":561,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":561,"to_index":562,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":562,"to_index":563,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":563,"to_index":564,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":564,"to_index":568,"interior_indices":[565,566,567],"interior_values":[245,223,38],"sum":506,"residue":76},{"from_index":568,"to_index":571,"interior_indices":[569,570],"interior_values":[299,130],"sum":429,"residue":429},{"from_index":571,"to_index":572,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":572,"to_index":582,"interior_indices":[573,574,575,576,577,578,579,580,581],"interior_values":[128,257,385,212,167,379,116,65,181],"sum":1890,"residue":170},{"from_index":582,"to_index":584,"interior_indices":[583],"interior_values":[427],"sum":427,"residue":427},{"from_index":584,"to_index":585,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":585,"to_index":593,"interior_indices":[586,587,588,589,590,591,592],"interior_values":[53,293,346,209,125,334,29],"sum":1389,"residue":99},{"from_index":593,"to_index":598,"interior_indices":[594,595,596,597],"interior_values":[392,325,287,182],"sum":1186,"residue":326},{"from_index":598,"to_index":601,"interior_indices":[599,600],"interior_values":[221,260],"sum":481,"residue":51},{"from_index":601,"to_index":604,"interior_indices":[602,603],"interior_values":[311,362],"sum":673,"residue":243},{"from_index":604,"to_index":612,"interior_indices":[605,606,607,608,609,610,611],"interior_values":[175,418,163,151,314,35,349],"sum":1605,"residue":315},{"from_index":612,"to_index":613,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":613,"to_index":616,"interior_indices":[614,615],"interior_values":[257,130],"sum":387,"residue":387},{"from_index":616,"to_index":617,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":617,"to_index":621,"interior_indices":[618,619,620],"interior_values":[44,131,175],"sum":350,"residue":350},{"from_index":621,"to_index":622,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":622,"to_index":623,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":623,"to_index":624,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":624,"to_index":630,"interior_indices":[625,626,627,628,629],"interior_values":[335,313,218,101,319],"sum":1286,"residue":426},{"from_index":630,"to_index":631,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":631,"to_index":635,"interior_indices":[632,633,634],"interior_values":[299,178,47],"sum":524,"residue":94},{"from_index":635,"to_index":638,"interior_indices":[636,637],"interior_values":[272,67],"sum":339,"residue":339},{"from_index":638,"to_index":640,"interior_indices":[639],"interior_values":[406],"sum":406,"residue":406},{"from_index":640,"to_index":641,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":641,"to_index":644,"interior_indices":[642,643],"interior_values":[176,37],"sum":213,"residue":213},{"from_index":644,"to_index":646,"interior_indices":[645],"interior_values":[250],"sum":250,"residue":250},{"from_index":646,"to_index":652,"interior_indices":[647,648,649,650,651],"interior_values":[283,316,169,55,224],"sum":1047,"residue":187},{"from_index":652,"to_index":657,"interior_indices":[653,654,655,656],"interior_values":[73,352,425,347],"sum":1197,"residue":337},{"from_index":657,"to_index":659,"interior_indices":[658],"interior_values":[259],"sum":259,"residue":259},{"from_index":659,"to_index":660,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":660,"to_index":661,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":661,"to_index":662,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":662,"to_index":663,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":663,"to_index":666,"interior_indices":[664,665],"interior_values":[83,425],"sum":508,"residue":78},{"from_index":666,"to_index":670,"interior_indices":[667,668,669],"interior_values":[73,151,224],"sum":448,"residue":18},{"from_index":670,"to_index":672,"interior_indices":[671],"interior_values":[169],"sum":169,"residue":169},{"from_index":672,"to_index":679,"interior_indices":[673,674,675,676,677,678],"interior_values":[283,397,250,217,37,254],"sum":1438,"residue":148},{"from_index":679,"to_index":685,"interior_indices":[680,681,682,683,684],"interior_values":[115,406,91,67,158],"sum":837,"residue":407},{"from_index":685,"to_index":689,"interior_indices":[686,687,688],"interior_values":[383,178,131],"sum":692,"residue":262},{"from_index":689,"to_index":694,"interior_indices":[690,691,692,693],"interior_values":[10,319,329,218],"sum":876,"residue":16},{"from_index":694,"to_index":697,"interior_indices":[695,696],"interior_values":[335,22],"sum":357,"residue":357},{"from_index":697,"to_index":699,"interior_indices":[698],"interior_values":[379],"sum":379,"residue":379},{"from_index":699,"to_index":700,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":700,"to_index":703,"interior_indices":[701,702],"interior_values":[131,386],"sum":517,"residue":87},{"from_index":703,"to_index":707,"interior_indices":[704,705,706],"interior_values":[43,130,173],"sum":346,"residue":346},{"from_index":707,"to_index":712,"interior_indices":[708,709,710,711],"interior_values":[46,349,395,314],"sum":1104,"residue":244},{"from_index":712,"to_index":714,"interior_indices":[713],"interior_values":[163],"sum":163,"residue":163},{"from_index":714,"to_index":719,"interior_indices":[715,716,717,718],"interior_values":[175,187,362,119],"sum":843,"residue":413},{"from_index":719,"to_index":727,"interior_indices":[720,721,722,723,724,725,726],"interior_values":[170,221,391,182,143,325,38],"sum":1470,"residue":180},{"from_index":727,"to_index":732,"interior_indices":[728,729,730,731],"interior_values":[401,334,305,209],"sum":1249,"residue":389},{"from_index":732,"to_index":735,"interior_indices":[733,734],"interior_values":[293,377],"sum":670,"residue":240},{"from_index":735,"to_index":742,"interior_indices":[736,737,738,739,740,741],"interior_values":[187,427,184,181,365,116],"sum":1460,"residue":170},{"from_index":742,"to_index":749,"interior_indices":[743,744,745,746,747,748],"interior_values":[167,218,385,173,128,301],"sum":1372,"residue":82},{"from_index":749,"to_index":750,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":750,"to_index":754,"interior_indices":[751,752,753],"interior_values":[299,169,38],"sum":506,"residue":76},{"from_index":754,"to_index":757,"interior_indices":[755,756],"interior_values":[245,22],"sum":267,"residue":267},{"from_index":757,"to_index":759,"interior_indices":[758],"interior_values":[289],"sum":289,"residue":289},{"from_index":759,"to_index":761,"interior_indices":[760],"interior_values":[415],"sum":415,"residue":415},{"from_index":761,"to_index":762,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":762,"to_index":763,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":763,"to_index":764,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":764,"to_index":767,"interior_indices":[765,766],"interior_values":[80,383],"sum":463,"residue":33},{"from_index":767,"to_index":771,"interior_indices":[768,769,770],"interior_values":[416,19,5],"sum":440,"residue":10},{"from_index":771,"to_index":775,"interior_indices":[772,773,774],"interior_values":[29,53,82],"sum":164,"residue":164},{"from_index":775,"to_index":781,"interior_indices":[776,777,778,779,780],"interior_values":[217,352,139,61,200],"sum":969,"residue":109},{"from_index":781,"to_index":786,"interior_indices":[782,783,784,785],"interior_values":[31,292,323,185],"sum":831,"residue":401},{"from_index":786,"to_index":789,"interior_indices":[787,788],"interior_values":[263,341],"sum":604,"residue":174},{"from_index":789,"to_index":794,"interior_indices":[790,791,792,793],"interior_values":[85,259,344,173],"sum":861,"residue":1},{"from_index":794,"to_index":797,"interior_indices":[795,796],"interior_values":[260,347],"sum":607,"residue":177},{"from_index":797,"to_index":802,"interior_indices":[798,799,800,801],"interior_values":[94,271,365,206],"sum":936,"residue":76},{"from_index":802,"to_index":805,"interior_indices":[803,804],"interior_values":[347,58],"sum":405,"residue":405},{"from_index":805,"to_index":806,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":806,"to_index":810,"interior_indices":[807,808,809],"interior_values":[8,41,49],"sum":98,"residue":98},{"from_index":810,"to_index":815,"interior_indices":[811,812,813,814],"interior_values":[139,229,368,167],"sum":903,"residue":43},{"from_index":815,"to_index":818,"interior_indices":[816,817],"interior_values":[272,377],"sum":649,"residue":219},{"from_index":818,"to_index":824,"interior_indices":[819,820,821,822,823],"interior_values":[166,385,121,76,197],"sum":945,"residue":85},{"from_index":824,"to_index":829,"interior_indices":[825,826,827,828],"interior_values":[40,313,353,236],"sum":942,"residue":82},{"from_index":829,"to_index":833,"interior_indices":[830,831,832],"interior_values":[395,124,89],"sum":608,"residue":178},{"from_index":833,"to_index":836,"interior_indices":[834,835],"interior_values":[302,85],"sum":387,"residue":387},{"from_index":836,"to_index":837,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":837,"to_index":838,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":838,"to_index":841,"interior_indices":[839,840],"interior_values":[41,40],"sum":81,"residue":81},{"from_index":841,"to_index":850,"interior_indices":[842,843,844,845,846,847,848,849],"interior_values":[121,202,323,95,418,83,71,154],"sum":1467,"residue":177},{"from_index":850,"to_index":852,"interior_indices":[851],"interior_values":[379],"sum":379,"residue":379},{"from_index":852,"to_index":853,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":853,"to_index":854,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":854,"to_index":855,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":855,"to_index":859,"interior_indices":[856,857,858],"interior_values":[287,277,134],"sum":698,"residue":268},{"from_index":859,"to_index":861,"interior_indices":[860],"interior_values":[115],"sum":115,"residue":115},{"from_index":861,"to_index":867,"interior_indices":[862,863,864,865,866],"interior_values":[211,307,88,395,53],"sum":1054,"residue":194},{"from_index":867,"to_index":871,"interior_indices":[868,869,870],"interior_values":[71,89,160],"sum":320,"residue":320},{"from_index":871,"to_index":873,"interior_indices":[872],"interior_values":[409],"sum":409,"residue":409},{"from_index":873,"to_index":874,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":874,"to_index":878,"interior_indices":[875,876,877],"interior_values":[5,212,217],"sum":434,"residue":4},{"from_index":878,"to_index":879,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":879,"to_index":882,"interior_indices":[880,881],"interior_values":[215,1],"sum":216,"residue":216},{"from_index":882,"to_index":884,"interior_indices":[883],"interior_values":[217],"sum":217,"residue":217},{"from_index":884,"to_index":889,"interior_indices":[885,886,887,888],"interior_values":[220,223,13,236],"sum":692,"residue":262},{"from_index":889,"to_index":894,"interior_indices":[890,891,892,893],"interior_values":[55,304,359,233],"sum":951,"residue":91},{"from_index":894,"to_index":898,"interior_indices":[895,896,897],"interior_values":[395,127,92],"sum":614,"residue":184},{"from_index":898,"to_index":901,"interior_indices":[899,900],"interior_values":[311,100],"sum":411,"residue":411},{"from_index":901,"to_index":902,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":902,"to_index":906,"interior_indices":[903,904,905],"interior_values":[62,143,205],"sum":410,"residue":410},{"from_index":906,"to_index":907,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":907,"to_index":911,"interior_indices":[908,909,910],"interior_values":[41,164,205],"sum":410,"residue":410},{"from_index":911,"to_index":912,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":912,"to_index":917,"interior_indices":[913,914,915,916],"interior_values":[83,227,310,107],"sum":727,"residue":297},{"from_index":917,"to_index":919,"interior_indices":[918],"interior_values":[94],"sum":94,"residue":94},{"from_index":919,"to_index":924,"interior_indices":[920,921,922,923],"interior_values":[175,256,1,257],"sum":689,"residue":259},{"from_index":924,"to_index":929,"interior_indices":[925,926,927,928],"interior_values":[85,343,428,341],"sum":1197,"residue":337},{"from_index":929,"to_index":931,"interior_indices":[930],"interior_values":[250],"sum":250,"residue":250},{"from_index":931,"to_index":933,"interior_indices":[932],"interior_values":[409],"sum":409,"residue":409},{"from_index":933,"to_index":934,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":934,"to_index":935,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":935,"to_index":936,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":936,"to_index":939,"interior_indices":[937,938],"interior_values":[197,139],"sum":336,"residue":336},{"from_index":939,"to_index":940,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":940,"to_index":941,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":941,"to_index":942,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":942,"to_index":947,"interior_indices":[943,944,945,946],"interior_values":[377,373,320,263],"sum":1333,"residue":43},{"from_index":947,"to_index":951,"interior_indices":[948,949,950],"interior_values":[416,139,125],"sum":680,"residue":250},{"from_index":951,"to_index":955,"interior_indices":[952,953,954],"interior_values":[389,223,182],"sum":794,"residue":364},{"from_index":955,"to_index":957,"interior_indices":[956],"interior_values":[157],"sum":157,"residue":157},{"from_index":957,"to_index":965,"interior_indices":[958,959,960,961,962,963,964],"interior_values":[289,421,280,271,121,392,83],"sum":1857,"residue":137},{"from_index":965,"to_index":970,"interior_indices":[966,967,968,969],"interior_values":[128,173,301,44],"sum":646,"residue":216},{"from_index":970,"to_index":979,"interior_indices":[971,972,973,974,975,976,977,978],"interior_values":[389,304,263,137,400,107,77,184],"sum":1861,"residue":141},{"from_index":979,"to_index":980,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":980,"to_index":981,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":981,"to_index":982,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":982,"to_index":985,"interior_indices":[983,984],"interior_values":[137,428],"sum":565,"residue":135},{"from_index":985,"to_index":990,"interior_indices":[986,987,988,989],"interior_values":[133,268,401,239],"sum":1041,"residue":181},{"from_index":990,"to_index":996,"interior_indices":[991,992,993,994,995],"interior_values":[19,229,248,47,295],"sum":838,"residue":408},{"from_index":996,"to_index":997,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":997,"to_index":1000,"interior_indices":[998,999],"interior_values":[119,326],"sum":445,"residue":15},{"from_index":1000,"to_index":1003,"interior_indices":[1001,1002],"interior_values":[341,356],"sum":697,"residue":267},{"from_index":1003,"to_index":1005,"interior_indices":[1004],"interior_values":[193],"sum":193,"residue":193},{"from_index":1005,"to_index":1010,"interior_indices":[1006,1007,1008,1009],"interior_values":[223,253,46,299],"sum":821,"residue":391},{"from_index":1010,"to_index":1012,"interior_indices":[1011],"interior_values":[214],"sum":214,"residue":214},{"from_index":1012,"to_index":1014,"interior_indices":[1013],"interior_values":[343],"sum":343,"residue":343},{"from_index":1014,"to_index":1024,"interior_indices":[1015,1016,1017,1018,1019,1020,1021,1022,1023],"interior_values":[385,427,382,379,331,280,181,31,212],"sum":2608,"residue":28},{"from_index":1024,"to_index":1033,"interior_indices":[1025,1026,1027,1028,1029,1030,1031,1032],"interior_values":[25,268,293,131,424,125,119,244],"sum":1629,"residue":339},{"from_index":1033,"to_index":1034,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1034,"to_index":1040,"interior_indices":[1035,1036,1037,1038,1039],"interior_values":[110,287,397,254,221],"sum":1269,"residue":409},{"from_index":1040,"to_index":1043,"interior_indices":[1041,1042],"interior_values":[266,311],"sum":577,"residue":147},{"from_index":1043,"to_index":1047,"interior_indices":[1044,1045,1046],"interior_values":[28,175,203],"sum":406,"residue":406},{"from_index":1047,"to_index":1049,"interior_indices":[1048],"interior_values":[151],"sum":151,"residue":151},{"from_index":1049,"to_index":1055,"interior_indices":[1050,1051,1052,1053,1054],"interior_values":[250,349,169,88,257],"sum":1113,"residue":253},{"from_index":1055,"to_index":1057,"interior_indices":[1056],"interior_values":[172],"sum":172,"residue":172},{"from_index":1057,"to_index":1063,"interior_indices":[1058,1059,1060,1061,1062],"interior_values":[259,346,175,91,266],"sum":1137,"residue":277},{"from_index":1063,"to_index":1065,"interior_indices":[1064],"interior_values":[193],"sum":193,"residue":193},{"from_index":1065,"to_index":1067,"interior_indices":[1066],"interior_values":[313],"sum":313,"residue":313},{"from_index":1067,"to_index":1073,"interior_indices":[1068,1069,1070,1071,1072],"interior_values":[316,319,205,94,299],"sum":1233,"residue":373},{"from_index":1073,"to_index":1075,"interior_indices":[1074],"interior_values":[262],"sum":262,"residue":262},{"from_index":1075,"to_index":1076,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1076,"to_index":1077,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1077,"to_index":1078,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1078,"to_index":1081,"interior_indices":[1079,1080],"interior_values":[191,100],"sum":291,"residue":291},{"from_index":1081,"to_index":1083,"interior_indices":[1082],"interior_values":[391],"sum":391,"residue":391},{"from_index":1083,"to_index":1084,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1084,"to_index":1089,"interior_indices":[1085,1086,1087,1088],"interior_values":[35,248,283,101],"sum":667,"residue":237},{"from_index":1089,"to_index":1091,"interior_indices":[1090],"interior_values":[55],"sum":55,"residue":55},{"from_index":1091,"to_index":1095,"interior_indices":[1092,1093,1094],"interior_values":[64,73,137],"sum":274,"residue":274},{"from_index":1095,"to_index":1099,"interior_indices":[1096,1097,1098],"interior_values":[347,127,44],"sum":518,"residue":88},{"from_index":1099,"to_index":1102,"interior_indices":[1100,1101],"interior_values":[215,386],"sum":601,"residue":171},{"from_index":1102,"to_index":1107,"interior_indices":[1103,1104,1105,1106],"interior_values":[127,298,425,293],"sum":1143,"residue":283},{"from_index":1107,"to_index":1109,"interior_indices":[1108],"interior_values":[151],"sum":151,"residue":151},{"from_index":1109,"to_index":1118,"interior_indices":[1110,1111,1112,1113,1114,1115,1116,1117],"interior_values":[160,169,329,68,397,35,2,37],"sum":1197,"residue":337},{"from_index":1118,"to_index":1122,"interior_indices":[1119,1120,1121],"interior_values":[76,115,191],"sum":382,"residue":382},{"from_index":1122,"to_index":1127,"interior_indices":[1123,1124,1125,1126],"interior_values":[67,373,10,383],"sum":833,"residue":403},{"from_index":1127,"to_index":1129,"interior_indices":[1128],"interior_values":[346],"sum":346,"residue":346},{"from_index":1129,"to_index":1130,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1130,"to_index":1133,"interior_indices":[1131,1132],"interior_values":[104,329],"sum":433,"residue":3},{"from_index":1133,"to_index":1136,"interior_indices":[1134,1135],"interior_values":[332,335],"sum":667,"residue":237},{"from_index":1136,"to_index":1142,"interior_indices":[1137,1138,1139,1140,1141],"interior_values":[142,379,91,40,131],"sum":783,"residue":353},{"from_index":1142,"to_index":1145,"interior_indices":[1143,1144],"interior_values":[302,43],"sum":345,"residue":345},{"from_index":1145,"to_index":1147,"interior_indices":[1146],"interior_values":[388],"sum":388,"residue":388},{"from_index":1147,"to_index":1148,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1148,"to_index":1151,"interior_indices":[1149,1150],"interior_values":[134,395],"sum":529,"residue":99},{"from_index":1151,"to_index":1155,"interior_indices":[1152,1153,1154],"interior_values":[64,163,227],"sum":454,"residue":24},{"from_index":1155,"to_index":1157,"interior_indices":[1156],"interior_values":[187],"sum":187,"residue":187},{"from_index":1157,"to_index":1159,"interior_indices":[1158],"interior_values":[334],"sum":334,"residue":334},{"from_index":1159,"to_index":1161,"interior_indices":[1160],"interior_values":[385],"sum":385,"residue":385},{"from_index":1161,"to_index":1170,"interior_indices":[1162,1163,1164,1165,1166,1167,1168,1169],"interior_values":[391,397,358,325,253,148,401,119],"sum":2392,"residue":242},{"from_index":1170,"to_index":1173,"interior_indices":[1171,1172],"interior_values":[209,299],"sum":508,"residue":78},{"from_index":1173,"to_index":1176,"interior_indices":[1174,1175],"interior_values":[377,25],"sum":402,"residue":402},{"from_index":1176,"to_index":1178,"interior_indices":[1177],"interior_values":[427],"sum":427,"residue":427},{"from_index":1178,"to_index":1179,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1179,"to_index":1184,"interior_indices":[1180,1181,1182,1183],"interior_values":[365,331,266,167],"sum":1129,"residue":269},{"from_index":1184,"to_index":1189,"interior_indices":[1185,1186,1187,1188],"interior_values":[170,173,343,86],"sum":772,"residue":342},{"from_index":1189,"to_index":1191,"interior_indices":[1190],"interior_values":[85],"sum":85,"residue":85},{"from_index":1191,"to_index":1196,"interior_indices":[1192,1193,1194,1195],"interior_values":[169,253,422,245],"sum":1089,"residue":229},{"from_index":1196,"to_index":1201,"interior_indices":[1197,1198,1199,1200],"interior_values":[52,289,341,200],"sum":882,"residue":22},{"from_index":1201,"to_index":1204,"interior_indices":[1202,1203],"interior_values":[311,422],"sum":733,"residue":303},{"from_index":1204,"to_index":1206,"interior_indices":[1205],"interior_values":[295],"sum":295,"residue":295},{"from_index":1206,"to_index":1207,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1207,"to_index":1208,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1208,"to_index":1209,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1209,"to_index":1214,"interior_indices":[1210,1211,1212,1213],"interior_values":[5,239,244,53],"sum":541,"residue":111},{"from_index":1214,"to_index":1218,"interior_indices":[1215,1216,1217],"interior_values":[350,217,137],"sum":704,"residue":274},{"from_index":1218,"to_index":1224,"interior_indices":[1219,1220,1221,1222,1223],"interior_values":[61,415,46,31,77],"sum":630,"residue":200},{"from_index":1224,"to_index":1227,"interior_indices":[1225,1226],"interior_values":[185,293],"sum":478,"residue":48},{"from_index":1227,"to_index":1230,"interior_indices":[1228,1229],"interior_values":[341,389],"sum":730,"residue":300},{"from_index":1230,"to_index":1232,"interior_indices":[1231],"interior_values":[259],"sum":259,"residue":259},{"from_index":1232,"to_index":1234,"interior_indices":[1233],"interior_values":[388],"sum":388,"residue":388},{"from_index":1234,"to_index":1235,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1235,"to_index":1236,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1236,"to_index":1237,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1237,"to_index":1238,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1238,"to_index":1244,"interior_indices":[1239,1240,1241,1242,1243],"interior_values":[56,365,421,356,347],"sum":1545,"residue":255},{"from_index":1244,"to_index":1246,"interior_indices":[1245],"interior_values":[190],"sum":190,"residue":190},{"from_index":1246,"to_index":1251,"interior_indices":[1247,1248,1249,1250],"interior_values":[223,256,49,305],"sum":833,"residue":403},{"from_index":1251,"to_index":1253,"interior_indices":[1252],"interior_values":[229],"sum":229,"residue":229},{"from_index":1253,"to_index":1255,"interior_indices":[1254],"interior_values":[382],"sum":382,"residue":382},{"from_index":1255,"to_index":1256,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1256,"to_index":1257,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1257,"to_index":1258,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1258,"to_index":1259,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1259,"to_index":1262,"interior_indices":[1260,1261],"interior_values":[170,121],"sum":291,"residue":291},{"from_index":1262,"to_index":1264,"interior_indices":[1263],"interior_values":[412],"sum":412,"residue":412},{"from_index":1264,"to_index":1265,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1265,"to_index":1268,"interior_indices":[1266,1267],"interior_values":[98,353],"sum":451,"residue":21},{"from_index":1268,"to_index":1271,"interior_indices":[1269,1270],"interior_values":[374,395],"sum":769,"residue":339},{"from_index":1271,"to_index":1273,"interior_indices":[1272],"interior_values":[304],"sum":304,"residue":304},{"from_index":1273,"to_index":1274,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1274,"to_index":1275,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1275,"to_index":1276,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1276,"to_index":1280,"interior_indices":[1277,1278,1279],"interior_values":[257,214,41],"sum":512,"residue":82},{"from_index":1280,"to_index":1283,"interior_indices":[1281,1282],"interior_values":[296,121],"sum":417,"residue":417},{"from_index":1283,"to_index":1284,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1284,"to_index":1289,"interior_indices":[1285,1286,1287,1288],"interior_values":[95,203,298,71],"sum":667,"residue":237},{"from_index":1289,"to_index":1294,"interior_indices":[1290,1291,1292,1293],"interior_values":[10,379,389,338],"sum":1116,"residue":256},{"from_index":1294,"to_index":1296,"interior_indices":[1295],"interior_values":[205],"sum":205,"residue":205},{"from_index":1296,"to_index":1302,"interior_indices":[1297,1298,1299,1300,1301],"interior_values":[277,349,196,115,311],"sum":1248,"residue":388},{"from_index":1302,"to_index":1304,"interior_indices":[1303],"interior_values":[307],"sum":307,"residue":307},{"from_index":1304,"to_index":1305,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1305,"to_index":1310,"interior_indices":[1306,1307,1308,1309],"interior_values":[53,233,286,89],"sum":661,"residue":231},{"from_index":1310,"to_index":1318,"interior_indices":[1311,1312,1313,1314,1315,1316,1317],"interior_values":[34,409,13,422,5,427,2],"sum":1312,"residue":22},{"from_index":1318,"to_index":0,"interior_indices":[1319],"interior_values":[1],"sum":1,"residue":1}],"minimal_cycle":[4,26,178,180,319,196,11,0,11,0,82,300,343,0,0,213,229,211,373,0,0,0,0,174,331,298,179,291,46,274,106,234,229,365,141,321,0,0,0,118,134,116,325,397,0,0,0,0,0,0,0,366,0,338,0,0,0,262,91,338,410,0,0,57,382,107,338,0,0,0,132,127,166,366,0,0,0,186,0,0,0,282,373,0,0,225,319,0,0,0,0,0,255,346,0,0,0,261,349,0,0,0,402,0,350,0,150,424,181,331,382,295,253,0,0,0,177,154,345,0,278,415,0,66,88,45,309,271,421,0,0,0,82,28,57,381,385,0,255,313,0,0,0,0,87,84,256,0,0,0,345,0,123,125,0,184,411,0,207,4,234,0,0,0,18,342,307,0,0,0,286,133,146,404,0,0,42,256,70,117,394,121,52,201,32,0,318,0,344,0,428,0,291,352,0,0,24,28,254,334,0,0,0,0,0,76,429,0,170,427,0,99,326,51,243,315,0,387,0,350,0,0,0,426,0,94,339,406,0,213,250,187,337,259,0,0,0,0,78,18,169,148,407,262,16,357,379,0,87,346,244,163,413,180,389,240,170,82,0,76,267,289,415,0,0,0,33,10,164,109,401,174,1,177,76,405,0,98,43,219,85,82,178,387,0,0,81,177,379,0,0,0,268,115,194,320,409,0,4,0,216,217,262,91,184,411,0,410,0,410,0,297,94,259,337,250,409,0,0,0,336,0,0,0,43,250,364,157,137,216,141,0,0,0,135,181,408,0,15,267,193,391,214,343,28,339,0,409,147,406,151,253,172,277,193,313,373,262,0,0,0,291,391,0,237,55,274,88,171,283,151,337,382,403,346,0,3,237,353,345,388,0,99,24,187,334,385,242,78,402,427,0,269,342,85,229,22,303,295,0,0,0,111,274,200,48,300,259,388,0,0,0,0,255,190,403,229,382,0,0,0,0,291,412,0,21,339,304,0,0,0,82,417,0,237,256,205,388,307,0,231,22,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1320,4],"start_interval_values":[1,1,2],"circle_positions":430,"cycle_length":443,"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":[0,440,880],"clock_positions":[1320,440,880],"native_values":[430,215,215],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[430,215,215],"beta":{"interval_sums":[92665,92880,97395],"interval_residues":[215,0,215],"display_cycle":[215,430,215],"intervals":[{"from_index":0,"to_index":440,"sum":92665,"residue":215},{"from_index":440,"to_index":880,"sum":92880,"residue":0},{"from_index":880,"to_index":0,"sum":97395,"residue":215}],"minimal_cycle":[215,0,215],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":215,"start_interval_clock_positions":[1320,440],"circle_positions":430,"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":[1,441,881],"clock_positions":[1,441,881],"native_values":[1,216,1],"rotation_degrees":0.2727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,216,1],"beta":{"interval_sums":[92879,92879,97394],"interval_residues":[429,429,214],"display_cycle":[429,429,214],"intervals":[{"from_index":1,"to_index":441,"sum":92879,"residue":429},{"from_index":441,"to_index":881,"sum":92879,"residue":429},{"from_index":881,"to_index":1,"sum":97394,"residue":214}],"minimal_cycle":[429,429,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[1,441],"circle_positions":430,"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":[2,442,882],"clock_positions":[2,442,882],"native_values":[1,1,216],"rotation_degrees":0.5454545454545454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,216],"beta":{"interval_sums":[93094,92879,97179],"interval_residues":[214,429,429],"display_cycle":[214,429,429],"intervals":[{"from_index":2,"to_index":442,"sum":93094,"residue":214},{"from_index":442,"to_index":882,"sum":92879,"residue":429},{"from_index":882,"to_index":2,"sum":97179,"residue":429}],"minimal_cycle":[214,429,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[2,442],"circle_positions":430,"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":[3,443,883],"clock_positions":[3,443,883],"native_values":[2,217,217],"rotation_degrees":0.8181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,217,217],"beta":{"interval_sums":[93093,92878,96963],"interval_residues":[213,428,213],"display_cycle":[213,428,213],"intervals":[{"from_index":3,"to_index":443,"sum":93093,"residue":213},{"from_index":443,"to_index":883,"sum":92878,"residue":428},{"from_index":883,"to_index":3,"sum":96963,"residue":213}],"minimal_cycle":[213,428,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[3,443],"circle_positions":430,"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":[4,444,884],"clock_positions":[4,444,884],"native_values":[3,218,3],"rotation_degrees":1.0909090909090908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,218,3],"beta":{"interval_sums":[93307,92877,96962],"interval_residues":[427,427,212],"display_cycle":[427,427,212],"intervals":[{"from_index":4,"to_index":444,"sum":93307,"residue":427},{"from_index":444,"to_index":884,"sum":92877,"residue":427},{"from_index":884,"to_index":4,"sum":96962,"residue":212}],"minimal_cycle":[427,427,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[4,444],"circle_positions":430,"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":[5,445,885],"clock_positions":[5,445,885],"native_values":[5,5,220],"rotation_degrees":1.3636363636363635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,5,220],"beta":{"interval_sums":[93520,92875,96745],"interval_residues":[210,425,425],"display_cycle":[210,425,425],"intervals":[{"from_index":5,"to_index":445,"sum":93520,"residue":210},{"from_index":445,"to_index":885,"sum":92875,"residue":425},{"from_index":885,"to_index":5,"sum":96745,"residue":425}],"minimal_cycle":[210,425,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[5,445],"circle_positions":430,"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":[6,446,886],"clock_positions":[6,446,886],"native_values":[8,223,223],"rotation_degrees":1.6363636363636365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,223,223],"beta":{"interval_sums":[93517,92872,96527],"interval_residues":[207,422,207],"display_cycle":[207,422,207],"intervals":[{"from_index":6,"to_index":446,"sum":93517,"residue":207},{"from_index":446,"to_index":886,"sum":92872,"residue":422},{"from_index":886,"to_index":6,"sum":96527,"residue":207}],"minimal_cycle":[207,422,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[6,446],"circle_positions":430,"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":[7,447,887],"clock_positions":[7,447,887],"native_values":[13,228,13],"rotation_degrees":1.9090909090909092,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,228,13],"beta":{"interval_sums":[93727,92867,96522],"interval_residues":[417,417,202],"display_cycle":[417,417,202],"intervals":[{"from_index":7,"to_index":447,"sum":93727,"residue":417},{"from_index":447,"to_index":887,"sum":92867,"residue":417},{"from_index":887,"to_index":7,"sum":96522,"residue":202}],"minimal_cycle":[417,417,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[7,447],"circle_positions":430,"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":[8,448,888],"clock_positions":[8,448,888],"native_values":[21,21,236],"rotation_degrees":2.1818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,21,236],"beta":{"interval_sums":[93934,92859,96299],"interval_residues":[194,409,409],"display_cycle":[194,409,409],"intervals":[{"from_index":8,"to_index":448,"sum":93934,"residue":194},{"from_index":448,"to_index":888,"sum":92859,"residue":409},{"from_index":888,"to_index":8,"sum":96299,"residue":409}],"minimal_cycle":[194,409,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[8,448],"circle_positions":430,"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":[9,449,889],"clock_positions":[9,449,889],"native_values":[34,249,249],"rotation_degrees":2.4545454545454546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,249,249],"beta":{"interval_sums":[93921,92846,96071],"interval_residues":[181,396,181],"display_cycle":[181,396,181],"intervals":[{"from_index":9,"to_index":449,"sum":93921,"residue":181},{"from_index":449,"to_index":889,"sum":92846,"residue":396},{"from_index":889,"to_index":9,"sum":96071,"residue":181}],"minimal_cycle":[181,396,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[9,449],"circle_positions":430,"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":[10,450,890],"clock_positions":[10,450,890],"native_values":[55,270,55],"rotation_degrees":2.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,270,55],"beta":{"interval_sums":[94115,92825,96050],"interval_residues":[375,375,160],"display_cycle":[375,375,160],"intervals":[{"from_index":10,"to_index":450,"sum":94115,"residue":375},{"from_index":450,"to_index":890,"sum":92825,"residue":375},{"from_index":890,"to_index":10,"sum":96050,"residue":160}],"minimal_cycle":[375,375,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":375,"start_interval_clock_positions":[10,450],"circle_positions":430,"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":[11,451,891],"clock_positions":[11,451,891],"native_values":[89,89,304],"rotation_degrees":3.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,89,304],"beta":{"interval_sums":[94296,92791,95801],"interval_residues":[126,341,341],"display_cycle":[126,341,341],"intervals":[{"from_index":11,"to_index":451,"sum":94296,"residue":126},{"from_index":451,"to_index":891,"sum":92791,"residue":341},{"from_index":891,"to_index":11,"sum":95801,"residue":341}],"minimal_cycle":[126,341,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[11,451],"circle_positions":430,"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":[12,452,892],"clock_positions":[12,452,892],"native_values":[144,359,359],"rotation_degrees":3.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,359,359],"beta":{"interval_sums":[94241,92736,95531],"interval_residues":[71,286,71],"display_cycle":[71,286,71],"intervals":[{"from_index":12,"to_index":452,"sum":94241,"residue":71},{"from_index":452,"to_index":892,"sum":92736,"residue":286},{"from_index":892,"to_index":12,"sum":95531,"residue":71}],"minimal_cycle":[71,286,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[12,452],"circle_positions":430,"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":[13,453,893],"clock_positions":[13,453,893],"native_values":[233,18,233],"rotation_degrees":3.5454545454545454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,18,233],"beta":{"interval_sums":[94367,93077,95442],"interval_residues":[197,197,412],"display_cycle":[197,197,412],"intervals":[{"from_index":13,"to_index":453,"sum":94367,"residue":197},{"from_index":453,"to_index":893,"sum":93077,"residue":197},{"from_index":893,"to_index":13,"sum":95442,"residue":412}],"minimal_cycle":[197,197,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[13,453],"circle_positions":430,"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":[14,454,894],"clock_positions":[14,454,894],"native_values":[377,377,162],"rotation_degrees":3.8181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,377,162],"beta":{"interval_sums":[94008,92933,95513],"interval_residues":[268,53,53],"display_cycle":[268,53,53],"intervals":[{"from_index":14,"to_index":454,"sum":94008,"residue":268},{"from_index":454,"to_index":894,"sum":92933,"residue":53},{"from_index":894,"to_index":14,"sum":95513,"residue":53}],"minimal_cycle":[268,53,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[14,454],"circle_positions":430,"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":[15,455,895],"clock_positions":[15,455,895],"native_values":[180,395,395],"rotation_degrees":4.090909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,395,395],"beta":{"interval_sums":[94205,92700,95495],"interval_residues":[35,250,35],"display_cycle":[35,250,35],"intervals":[{"from_index":15,"to_index":455,"sum":94205,"residue":35},{"from_index":455,"to_index":895,"sum":92700,"residue":250},{"from_index":895,"to_index":15,"sum":95495,"residue":35}],"minimal_cycle":[35,250,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[15,455],"circle_positions":430,"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":[16,456,896],"clock_positions":[16,456,896],"native_values":[127,342,127],"rotation_degrees":4.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,342,127],"beta":{"interval_sums":[94473,92753,95548],"interval_residues":[303,303,88],"display_cycle":[303,303,88],"intervals":[{"from_index":16,"to_index":456,"sum":94473,"residue":303},{"from_index":456,"to_index":896,"sum":92753,"residue":303},{"from_index":896,"to_index":16,"sum":95548,"residue":88}],"minimal_cycle":[303,303,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[16,456],"circle_positions":430,"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":[17,457,897],"clock_positions":[17,457,897],"native_values":[307,307,92],"rotation_degrees":4.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,307,92],"beta":{"interval_sums":[94508,92573,95583],"interval_residues":[338,123,123],"display_cycle":[338,123,123],"intervals":[{"from_index":17,"to_index":457,"sum":94508,"residue":338},{"from_index":457,"to_index":897,"sum":92573,"residue":123},{"from_index":897,"to_index":17,"sum":95583,"residue":123}],"minimal_cycle":[338,123,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[17,457],"circle_positions":430,"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":[18,458,898],"clock_positions":[18,458,898],"native_values":[4,219,219],"rotation_degrees":4.909090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,219,219],"beta":{"interval_sums":[94811,92446,95671],"interval_residues":[211,426,211],"display_cycle":[211,426,211],"intervals":[{"from_index":18,"to_index":458,"sum":94811,"residue":211},{"from_index":458,"to_index":898,"sum":92446,"residue":426},{"from_index":898,"to_index":18,"sum":95671,"residue":211}],"minimal_cycle":[211,426,211],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[18,458],"circle_positions":430,"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":[19,459,899],"clock_positions":[19,459,899],"native_values":[311,96,311],"rotation_degrees":5.181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,96,311],"beta":{"interval_sums":[94719,92569,95364],"interval_residues":[119,119,334],"display_cycle":[119,119,334],"intervals":[{"from_index":19,"to_index":459,"sum":94719,"residue":119},{"from_index":459,"to_index":899,"sum":92569,"residue":119},{"from_index":899,"to_index":19,"sum":95364,"residue":334}],"minimal_cycle":[119,119,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[19,459],"circle_positions":430,"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":[20,460,900],"clock_positions":[20,460,900],"native_values":[315,315,100],"rotation_degrees":5.454545454545454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,315,100],"beta":{"interval_sums":[94500,92565,95575],"interval_residues":[330,115,115],"display_cycle":[330,115,115],"intervals":[{"from_index":20,"to_index":460,"sum":94500,"residue":330},{"from_index":460,"to_index":900,"sum":92565,"residue":115},{"from_index":900,"to_index":20,"sum":95575,"residue":115}],"minimal_cycle":[330,115,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[20,460],"circle_positions":430,"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":[21,461,901],"clock_positions":[21,461,901],"native_values":[196,411,411],"rotation_degrees":5.7272727272727275,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[196,411,411],"beta":{"interval_sums":[94619,92254,95479],"interval_residues":[19,234,19],"display_cycle":[19,234,19],"intervals":[{"from_index":21,"to_index":461,"sum":94619,"residue":19},{"from_index":461,"to_index":901,"sum":92254,"residue":234},{"from_index":901,"to_index":21,"sum":95479,"residue":19}],"minimal_cycle":[19,234,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[21,461],"circle_positions":430,"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":[22,462,902],"clock_positions":[22,462,902],"native_values":[81,296,81],"rotation_degrees":6.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,296,81],"beta":{"interval_sums":[94949,92369,95594],"interval_residues":[349,349,134],"display_cycle":[349,349,134],"intervals":[{"from_index":22,"to_index":462,"sum":94949,"residue":349},{"from_index":462,"to_index":902,"sum":92369,"residue":349},{"from_index":902,"to_index":22,"sum":95594,"residue":134}],"minimal_cycle":[349,349,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[22,462],"circle_positions":430,"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":[23,463,903],"clock_positions":[23,463,903],"native_values":[277,277,62],"rotation_degrees":6.2727272727272725,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,277,62],"beta":{"interval_sums":[94968,92173,95613],"interval_residues":[368,153,153],"display_cycle":[368,153,153],"intervals":[{"from_index":23,"to_index":463,"sum":94968,"residue":368},{"from_index":463,"to_index":903,"sum":92173,"residue":153},{"from_index":903,"to_index":23,"sum":95613,"residue":153}],"minimal_cycle":[368,153,153],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[23,463],"circle_positions":430,"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":[24,464,904],"clock_positions":[24,464,904],"native_values":[358,143,143],"rotation_degrees":6.545454545454546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,143,143],"beta":{"interval_sums":[94887,92092,95747],"interval_residues":[287,72,287],"display_cycle":[287,72,287],"intervals":[{"from_index":24,"to_index":464,"sum":94887,"residue":287},{"from_index":464,"to_index":904,"sum":92092,"residue":72},{"from_index":904,"to_index":24,"sum":95747,"residue":287}],"minimal_cycle":[287,72,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[24,464],"circle_positions":430,"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":[25,465,905],"clock_positions":[25,465,905],"native_values":[205,420,205],"rotation_degrees":6.818181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,420,205],"beta":{"interval_sums":[94825,91815,95900],"interval_residues":[225,225,10],"display_cycle":[225,225,10],"intervals":[{"from_index":25,"to_index":465,"sum":94825,"residue":225},{"from_index":465,"to_index":905,"sum":91815,"residue":225},{"from_index":905,"to_index":25,"sum":95900,"residue":10}],"minimal_cycle":[225,225,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[25,465],"circle_positions":430,"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":[26,466,906],"clock_positions":[26,466,906],"native_values":[133,133,348],"rotation_degrees":7.090909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,133,348],"beta":{"interval_sums":[95112,91887,95757],"interval_residues":[82,297,297],"display_cycle":[82,297,297],"intervals":[{"from_index":26,"to_index":466,"sum":95112,"residue":82},{"from_index":466,"to_index":906,"sum":91887,"residue":297},{"from_index":906,"to_index":26,"sum":95757,"residue":297}],"minimal_cycle":[82,297,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[26,466],"circle_positions":430,"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":[27,467,907],"clock_positions":[27,467,907],"native_values":[338,123,123],"rotation_degrees":7.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,123,123],"beta":{"interval_sums":[94907,92112,95767],"interval_residues":[307,92,307],"display_cycle":[307,92,307],"intervals":[{"from_index":27,"to_index":467,"sum":94907,"residue":307},{"from_index":467,"to_index":907,"sum":92112,"residue":92},{"from_index":907,"to_index":27,"sum":95767,"residue":307}],"minimal_cycle":[307,92,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[27,467],"circle_positions":430,"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":[28,468,908],"clock_positions":[28,468,908],"native_values":[41,256,41],"rotation_degrees":7.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,256,41],"beta":{"interval_sums":[94989,91979,96064],"interval_residues":[389,389,174],"display_cycle":[389,389,174],"intervals":[{"from_index":28,"to_index":468,"sum":94989,"residue":389},{"from_index":468,"to_index":908,"sum":91979,"residue":389},{"from_index":908,"to_index":28,"sum":96064,"residue":174}],"minimal_cycle":[389,389,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[28,468],"circle_positions":430,"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":[29,469,909],"clock_positions":[29,469,909],"native_values":[379,379,164],"rotation_degrees":7.909090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,379,164],"beta":{"interval_sums":[94866,91641,95941],"interval_residues":[266,51,51],"display_cycle":[266,51,51],"intervals":[{"from_index":29,"to_index":469,"sum":94866,"residue":266},{"from_index":469,"to_index":909,"sum":91641,"residue":51},{"from_index":909,"to_index":29,"sum":95941,"residue":51}],"minimal_cycle":[266,51,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[29,469],"circle_positions":430,"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":[30,470,910],"clock_positions":[30,470,910],"native_values":[420,205,205],"rotation_degrees":8.181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,205,205],"beta":{"interval_sums":[94825,91600,96115],"interval_residues":[225,10,225],"display_cycle":[225,10,225],"intervals":[{"from_index":30,"to_index":470,"sum":94825,"residue":225},{"from_index":470,"to_index":910,"sum":91600,"residue":10},{"from_index":910,"to_index":30,"sum":96115,"residue":225}],"minimal_cycle":[225,10,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[30,470],"circle_positions":430,"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":[31,471,911],"clock_positions":[31,471,911],"native_values":[369,154,369],"rotation_degrees":8.454545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,154,369],"beta":{"interval_sums":[94661,91651,96166],"interval_residues":[61,61,276],"display_cycle":[61,61,276],"intervals":[{"from_index":31,"to_index":471,"sum":94661,"residue":61},{"from_index":471,"to_index":911,"sum":91651,"residue":61},{"from_index":911,"to_index":31,"sum":96166,"residue":276}],"minimal_cycle":[61,61,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[31,471],"circle_positions":430,"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":[32,472,912],"clock_positions":[32,472,912],"native_values":[359,359,144],"rotation_degrees":8.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,359,144],"beta":{"interval_sums":[94456,91661,96391],"interval_residues":[286,71,71],"display_cycle":[286,71,71],"intervals":[{"from_index":32,"to_index":472,"sum":94456,"residue":286},{"from_index":472,"to_index":912,"sum":91661,"residue":71},{"from_index":912,"to_index":32,"sum":96391,"residue":71}],"minimal_cycle":[286,71,71],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[32,472],"circle_positions":430,"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":[33,473,913],"clock_positions":[33,473,913],"native_values":[298,83,83],"rotation_degrees":9.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,83,83],"beta":{"interval_sums":[94517,91722,96667],"interval_residues":[347,132,347],"display_cycle":[347,132,347],"intervals":[{"from_index":33,"to_index":473,"sum":94517,"residue":347},{"from_index":473,"to_index":913,"sum":91722,"residue":132},{"from_index":913,"to_index":33,"sum":96667,"residue":347}],"minimal_cycle":[347,132,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[33,473],"circle_positions":430,"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":[34,474,914],"clock_positions":[34,474,914],"native_values":[227,12,227],"rotation_degrees":9.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,12,227],"beta":{"interval_sums":[94373,91793,96738],"interval_residues":[203,203,418],"display_cycle":[203,203,418],"intervals":[{"from_index":34,"to_index":474,"sum":94373,"residue":203},{"from_index":474,"to_index":914,"sum":91793,"residue":203},{"from_index":914,"to_index":34,"sum":96738,"residue":418}],"minimal_cycle":[203,203,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[34,474],"circle_positions":430,"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":[35,475,915],"clock_positions":[35,475,915],"native_values":[95,95,310],"rotation_degrees":9.545454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,95,310],"beta":{"interval_sums":[94290,91925,96655],"interval_residues":[120,335,335],"display_cycle":[120,335,335],"intervals":[{"from_index":35,"to_index":475,"sum":94290,"residue":120},{"from_index":475,"to_index":915,"sum":91925,"residue":335},{"from_index":915,"to_index":35,"sum":96655,"residue":335}],"minimal_cycle":[120,335,335],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[35,475],"circle_positions":430,"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":[36,476,916],"clock_positions":[36,476,916],"native_values":[322,107,107],"rotation_degrees":9.818181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,107,107],"beta":{"interval_sums":[94063,92128,96643],"interval_residues":[323,108,323],"display_cycle":[323,108,323],"intervals":[{"from_index":36,"to_index":476,"sum":94063,"residue":323},{"from_index":476,"to_index":916,"sum":92128,"residue":108},{"from_index":916,"to_index":36,"sum":96643,"residue":323}],"minimal_cycle":[323,108,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[36,476],"circle_positions":430,"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":[37,477,917],"clock_positions":[37,477,917],"native_values":[417,202,417],"rotation_degrees":10.090909090909092,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,202,417],"beta":{"interval_sums":[93753,92033,96548],"interval_residues":[13,13,228],"display_cycle":[13,13,228],"intervals":[{"from_index":37,"to_index":477,"sum":93753,"residue":13},{"from_index":477,"to_index":917,"sum":92033,"residue":13},{"from_index":917,"to_index":37,"sum":96548,"residue":228}],"minimal_cycle":[13,13,228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[37,477],"circle_positions":430,"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":[38,478,918],"clock_positions":[38,478,918],"native_values":[309,309,94],"rotation_degrees":10.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,309,94],"beta":{"interval_sums":[93646,92141,96871],"interval_residues":[336,121,121],"display_cycle":[336,121,121],"intervals":[{"from_index":38,"to_index":478,"sum":93646,"residue":336},{"from_index":478,"to_index":918,"sum":92141,"residue":121},{"from_index":918,"to_index":38,"sum":96871,"residue":121}],"minimal_cycle":[336,121,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[38,478],"circle_positions":430,"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":[39,479,919],"clock_positions":[39,479,919],"native_values":[296,81,81],"rotation_degrees":10.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,81,81],"beta":{"interval_sums":[93659,92154,97099],"interval_residues":[349,134,349],"display_cycle":[349,134,349],"intervals":[{"from_index":39,"to_index":479,"sum":93659,"residue":349},{"from_index":479,"to_index":919,"sum":92154,"residue":134},{"from_index":919,"to_index":39,"sum":97099,"residue":349}],"minimal_cycle":[349,134,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":349,"start_interval_clock_positions":[39,479],"circle_positions":430,"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":[40,480,920],"clock_positions":[40,480,920],"native_values":[175,390,175],"rotation_degrees":10.909090909090908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,390,175],"beta":{"interval_sums":[93565,91845,97220],"interval_residues":[255,255,40],"display_cycle":[255,255,40],"intervals":[{"from_index":40,"to_index":480,"sum":93565,"residue":255},{"from_index":480,"to_index":920,"sum":91845,"residue":255},{"from_index":920,"to_index":40,"sum":97220,"residue":40}],"minimal_cycle":[255,255,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[40,480],"circle_positions":430,"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":[41,481,921],"clock_positions":[41,481,921],"native_values":[41,41,256],"rotation_degrees":11.181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,41,256],"beta":{"interval_sums":[93914,91979,97139],"interval_residues":[174,389,389],"display_cycle":[174,389,389],"intervals":[{"from_index":41,"to_index":481,"sum":93914,"residue":174},{"from_index":481,"to_index":921,"sum":91979,"residue":389},{"from_index":921,"to_index":41,"sum":97139,"residue":389}],"minimal_cycle":[174,389,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[41,481],"circle_positions":430,"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":[42,482,922],"clock_positions":[42,482,922],"native_values":[216,1,1],"rotation_degrees":11.454545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,1,1],"beta":{"interval_sums":[93739,92234,97179],"interval_residues":[429,214,429],"display_cycle":[429,214,429],"intervals":[{"from_index":42,"to_index":482,"sum":93739,"residue":429},{"from_index":482,"to_index":922,"sum":92234,"residue":214},{"from_index":922,"to_index":42,"sum":97179,"residue":429}],"minimal_cycle":[429,214,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[42,482],"circle_positions":430,"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":[43,483,923],"clock_positions":[43,483,923],"native_values":[257,42,257],"rotation_degrees":11.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,42,257],"beta":{"interval_sums":[93483,92193,97138],"interval_residues":[173,173,388],"display_cycle":[173,173,388],"intervals":[{"from_index":43,"to_index":483,"sum":93483,"residue":173},{"from_index":483,"to_index":923,"sum":92193,"residue":173},{"from_index":923,"to_index":43,"sum":97138,"residue":388}],"minimal_cycle":[173,173,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[43,483],"circle_positions":430,"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":[44,484,924],"clock_positions":[44,484,924],"native_values":[43,43,258],"rotation_degrees":12.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,43,258],"beta":{"interval_sums":[93482,92407,97137],"interval_residues":[172,387,387],"display_cycle":[172,387,387],"intervals":[{"from_index":44,"to_index":484,"sum":93482,"residue":172},{"from_index":484,"to_index":924,"sum":92407,"residue":387},{"from_index":924,"to_index":44,"sum":97137,"residue":387}],"minimal_cycle":[172,387,387],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[44,484],"circle_positions":430,"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":[45,485,925],"clock_positions":[45,485,925],"native_values":[300,85,85],"rotation_degrees":12.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,85,85],"beta":{"interval_sums":[93225,92580,97095],"interval_residues":[345,130,345],"display_cycle":[345,130,345],"intervals":[{"from_index":45,"to_index":485,"sum":93225,"residue":345},{"from_index":485,"to_index":925,"sum":92580,"residue":130},{"from_index":925,"to_index":45,"sum":97095,"residue":345}],"minimal_cycle":[345,130,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":345,"start_interval_clock_positions":[45,485],"circle_positions":430,"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":[46,486,926],"clock_positions":[46,486,926],"native_values":[343,128,343],"rotation_degrees":12.545454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,128,343],"beta":{"interval_sums":[92967,92537,97052],"interval_residues":[87,87,302],"display_cycle":[87,87,302],"intervals":[{"from_index":46,"to_index":486,"sum":92967,"residue":87},{"from_index":486,"to_index":926,"sum":92537,"residue":87},{"from_index":926,"to_index":46,"sum":97052,"residue":302}],"minimal_cycle":[87,87,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[46,486],"circle_positions":430,"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":[47,487,927],"clock_positions":[47,487,927],"native_values":[213,213,428],"rotation_degrees":12.818181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,213,428],"beta":{"interval_sums":[92882,92667,96967],"interval_residues":[2,217,217],"display_cycle":[2,217,217],"intervals":[{"from_index":47,"to_index":487,"sum":92882,"residue":2},{"from_index":487,"to_index":927,"sum":92667,"residue":217},{"from_index":927,"to_index":47,"sum":96967,"residue":217}],"minimal_cycle":[2,217,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[47,487],"circle_positions":430,"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":[48,488,928],"clock_positions":[48,488,928],"native_values":[126,341,341],"rotation_degrees":13.090909090909092,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,341,341],"beta":{"interval_sums":[92969,92754,96839],"interval_residues":[89,304,89],"display_cycle":[89,304,89],"intervals":[{"from_index":48,"to_index":488,"sum":92969,"residue":89},{"from_index":488,"to_index":928,"sum":92754,"residue":304},{"from_index":928,"to_index":48,"sum":96839,"residue":89}],"minimal_cycle":[89,304,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[48,488],"circle_positions":430,"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":[49,489,929],"clock_positions":[49,489,929],"native_values":[339,124,339],"rotation_degrees":13.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,124,339],"beta":{"interval_sums":[92971,92971,96626],"interval_residues":[91,91,306],"display_cycle":[91,91,306],"intervals":[{"from_index":49,"to_index":489,"sum":92971,"residue":91},{"from_index":489,"to_index":929,"sum":92971,"residue":91},{"from_index":929,"to_index":49,"sum":96626,"residue":306}],"minimal_cycle":[91,91,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[49,489],"circle_positions":430,"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":[50,490,930],"clock_positions":[50,490,930],"native_values":[35,35,250],"rotation_degrees":13.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,35,250],"beta":{"interval_sums":[93060,93275,96715],"interval_residues":[180,395,395],"display_cycle":[180,395,395],"intervals":[{"from_index":50,"to_index":490,"sum":93060,"residue":180},{"from_index":490,"to_index":930,"sum":93275,"residue":395},{"from_index":930,"to_index":50,"sum":96715,"residue":395}],"minimal_cycle":[180,395,395],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[50,490],"circle_positions":430,"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":[51,491,931],"clock_positions":[51,491,931],"native_values":[374,159,159],"rotation_degrees":13.909090909090908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,159,159],"beta":{"interval_sums":[92721,93366,96591],"interval_residues":[271,56,271],"display_cycle":[271,56,271],"intervals":[{"from_index":51,"to_index":491,"sum":92721,"residue":271},{"from_index":491,"to_index":931,"sum":93366,"residue":56},{"from_index":931,"to_index":51,"sum":96591,"residue":271}],"minimal_cycle":[271,56,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[51,491],"circle_positions":430,"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":[52,492,932],"clock_positions":[52,492,932],"native_values":[409,194,409],"rotation_degrees":14.181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,194,409],"beta":{"interval_sums":[92471,93331,96556],"interval_residues":[21,21,236],"display_cycle":[21,21,236],"intervals":[{"from_index":52,"to_index":492,"sum":92471,"residue":21},{"from_index":492,"to_index":932,"sum":93331,"residue":21},{"from_index":932,"to_index":52,"sum":96556,"residue":236}],"minimal_cycle":[21,21,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[52,492],"circle_positions":430,"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":[53,493,933],"clock_positions":[53,493,933],"native_values":[353,353,138],"rotation_degrees":14.454545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,353,138],"beta":{"interval_sums":[92312,93387,96827],"interval_residues":[292,77,77],"display_cycle":[292,77,77],"intervals":[{"from_index":53,"to_index":493,"sum":92312,"residue":292},{"from_index":493,"to_index":933,"sum":93387,"residue":77},{"from_index":933,"to_index":53,"sum":96827,"residue":77}],"minimal_cycle":[292,77,77],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[53,493],"circle_positions":430,"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":[54,494,934],"clock_positions":[54,494,934],"native_values":[332,117,117],"rotation_degrees":14.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,117,117],"beta":{"interval_sums":[92333,93408,97063],"interval_residues":[313,98,313],"display_cycle":[313,98,313],"intervals":[{"from_index":54,"to_index":494,"sum":92333,"residue":313},{"from_index":494,"to_index":934,"sum":93408,"residue":98},{"from_index":934,"to_index":54,"sum":97063,"residue":313}],"minimal_cycle":[313,98,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[54,494],"circle_positions":430,"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":[55,495,935],"clock_positions":[55,495,935],"native_values":[255,40,255],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,40,255],"beta":{"interval_sums":[92195,93485,97140],"interval_residues":[175,175,390],"display_cycle":[175,175,390],"intervals":[{"from_index":55,"to_index":495,"sum":92195,"residue":175},{"from_index":495,"to_index":935,"sum":93485,"residue":175},{"from_index":935,"to_index":55,"sum":97140,"residue":390}],"minimal_cycle":[175,175,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[55,495],"circle_positions":430,"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":[56,496,936],"clock_positions":[56,496,936],"native_values":[157,157,372],"rotation_degrees":15.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,157,372],"beta":{"interval_sums":[92078,93583,97023],"interval_residues":[58,273,273],"display_cycle":[58,273,273],"intervals":[{"from_index":56,"to_index":496,"sum":92078,"residue":58},{"from_index":496,"to_index":936,"sum":93583,"residue":273},{"from_index":936,"to_index":56,"sum":97023,"residue":273}],"minimal_cycle":[58,273,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[56,496],"circle_positions":430,"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":[57,497,937],"clock_positions":[57,497,937],"native_values":[412,197,197],"rotation_degrees":15.545454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,197,197],"beta":{"interval_sums":[91823,93758,96983],"interval_residues":[233,18,233],"display_cycle":[233,18,233],"intervals":[{"from_index":57,"to_index":497,"sum":91823,"residue":233},{"from_index":497,"to_index":937,"sum":93758,"residue":18},{"from_index":937,"to_index":57,"sum":96983,"residue":233}],"minimal_cycle":[233,18,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[57,497],"circle_positions":430,"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":[58,498,938],"clock_positions":[58,498,938],"native_values":[139,354,139],"rotation_degrees":15.818181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,354,139],"beta":{"interval_sums":[91881,93601,97256],"interval_residues":[291,291,76],"display_cycle":[291,291,76],"intervals":[{"from_index":58,"to_index":498,"sum":91881,"residue":291},{"from_index":498,"to_index":938,"sum":93601,"residue":291},{"from_index":938,"to_index":58,"sum":97256,"residue":76}],"minimal_cycle":[291,291,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[58,498],"circle_positions":430,"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":[59,499,939],"clock_positions":[59,499,939],"native_values":[121,121,336],"rotation_degrees":16.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,121,336],"beta":{"interval_sums":[92114,93619,97059],"interval_residues":[94,309,309],"display_cycle":[94,309,309],"intervals":[{"from_index":59,"to_index":499,"sum":92114,"residue":94},{"from_index":499,"to_index":939,"sum":93619,"residue":309},{"from_index":939,"to_index":59,"sum":97059,"residue":309}],"minimal_cycle":[94,309,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[59,499],"circle_positions":430,"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":[60,500,940],"clock_positions":[60,500,940],"native_values":[260,45,45],"rotation_degrees":16.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,45,45],"beta":{"interval_sums":[91975,93910,97135],"interval_residues":[385,170,385],"display_cycle":[385,170,385],"intervals":[{"from_index":60,"to_index":500,"sum":91975,"residue":385},{"from_index":500,"to_index":940,"sum":93910,"residue":170},{"from_index":940,"to_index":60,"sum":97135,"residue":385}],"minimal_cycle":[385,170,385],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[60,500],"circle_positions":430,"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":[61,501,941],"clock_positions":[61,501,941],"native_values":[381,166,381],"rotation_degrees":16.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,166,381],"beta":{"interval_sums":[91639,93789,97014],"interval_residues":[49,49,264],"display_cycle":[49,49,264],"intervals":[{"from_index":61,"to_index":501,"sum":91639,"residue":49},{"from_index":501,"to_index":941,"sum":93789,"residue":49},{"from_index":941,"to_index":61,"sum":97014,"residue":264}],"minimal_cycle":[49,49,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":49,"start_interval_clock_positions":[61,501],"circle_positions":430,"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":[62,502,942],"clock_positions":[62,502,942],"native_values":[211,211,426],"rotation_degrees":16.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,211,426],"beta":{"interval_sums":[91594,93959,96969],"interval_residues":[4,219,219],"display_cycle":[4,219,219],"intervals":[{"from_index":62,"to_index":502,"sum":91594,"residue":4},{"from_index":502,"to_index":942,"sum":93959,"residue":219},{"from_index":942,"to_index":62,"sum":96969,"residue":219}],"minimal_cycle":[4,219,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[62,502],"circle_positions":430,"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":[63,503,943],"clock_positions":[63,503,943],"native_values":[162,377,377],"rotation_degrees":17.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,377,377],"beta":{"interval_sums":[91643,94008,96803],"interval_residues":[53,268,53],"display_cycle":[53,268,53],"intervals":[{"from_index":63,"to_index":503,"sum":91643,"residue":53},{"from_index":503,"to_index":943,"sum":94008,"residue":268},{"from_index":943,"to_index":63,"sum":96803,"residue":53}],"minimal_cycle":[53,268,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[63,503],"circle_positions":430,"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":[64,504,944],"clock_positions":[64,504,944],"native_values":[373,158,373],"rotation_degrees":17.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,158,373],"beta":{"interval_sums":[91647,94227,96592],"interval_residues":[57,57,272],"display_cycle":[57,57,272],"intervals":[{"from_index":64,"to_index":504,"sum":91647,"residue":57},{"from_index":504,"to_index":944,"sum":94227,"residue":57},{"from_index":944,"to_index":64,"sum":96592,"residue":272}],"minimal_cycle":[57,57,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[64,504],"circle_positions":430,"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":[65,505,945],"clock_positions":[65,505,945],"native_values":[105,105,320],"rotation_degrees":17.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,105,320],"beta":{"interval_sums":[91700,94495,96645],"interval_residues":[110,325,325],"display_cycle":[110,325,325],"intervals":[{"from_index":65,"to_index":505,"sum":91700,"residue":110},{"from_index":505,"to_index":945,"sum":94495,"residue":325},{"from_index":945,"to_index":65,"sum":96645,"residue":325}],"minimal_cycle":[110,325,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[65,505],"circle_positions":430,"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":[66,506,946],"clock_positions":[66,506,946],"native_values":[48,263,263],"rotation_degrees":18.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,263,263],"beta":{"interval_sums":[91757,94552,96487],"interval_residues":[167,382,167],"display_cycle":[167,382,167],"intervals":[{"from_index":66,"to_index":506,"sum":91757,"residue":167},{"from_index":506,"to_index":946,"sum":94552,"residue":382},{"from_index":946,"to_index":66,"sum":96487,"residue":167}],"minimal_cycle":[167,382,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[66,506],"circle_positions":430,"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":[67,507,947],"clock_positions":[67,507,947],"native_values":[153,368,153],"rotation_degrees":18.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,368,153],"beta":{"interval_sums":[91867,94447,96382],"interval_residues":[277,277,62],"display_cycle":[277,277,62],"intervals":[{"from_index":67,"to_index":507,"sum":91867,"residue":277},{"from_index":507,"to_index":947,"sum":94447,"residue":277},{"from_index":947,"to_index":67,"sum":96382,"residue":62}],"minimal_cycle":[277,277,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[67,507],"circle_positions":430,"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":[68,508,948],"clock_positions":[68,508,948],"native_values":[201,201,416],"rotation_degrees":18.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,201,416],"beta":{"interval_sums":[92034,94399,96119],"interval_residues":[14,229,229],"display_cycle":[14,229,229],"intervals":[{"from_index":68,"to_index":508,"sum":92034,"residue":14},{"from_index":508,"to_index":948,"sum":94399,"residue":229},{"from_index":948,"to_index":68,"sum":96119,"residue":229}],"minimal_cycle":[14,229,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[68,508],"circle_positions":430,"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":[69,509,949],"clock_positions":[69,509,949],"native_values":[354,139,139],"rotation_degrees":18.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,139,139],"beta":{"interval_sums":[91881,94676,96181],"interval_residues":[291,76,291],"display_cycle":[291,76,291],"intervals":[{"from_index":69,"to_index":509,"sum":91881,"residue":291},{"from_index":509,"to_index":949,"sum":94676,"residue":76},{"from_index":949,"to_index":69,"sum":96181,"residue":291}],"minimal_cycle":[291,76,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[69,509],"circle_positions":430,"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":[70,510,950],"clock_positions":[70,510,950],"native_values":[125,340,125],"rotation_degrees":19.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,340,125],"beta":{"interval_sums":[91895,94475,96410],"interval_residues":[305,305,90],"display_cycle":[305,305,90],"intervals":[{"from_index":70,"to_index":510,"sum":91895,"residue":305},{"from_index":510,"to_index":950,"sum":94475,"residue":305},{"from_index":950,"to_index":70,"sum":96410,"residue":90}],"minimal_cycle":[305,305,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[70,510],"circle_positions":430,"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":[71,511,951],"clock_positions":[71,511,951],"native_values":[49,49,264],"rotation_degrees":19.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,49,264],"beta":{"interval_sums":[92186,94551,96271],"interval_residues":[166,381,381],"display_cycle":[166,381,381],"intervals":[{"from_index":71,"to_index":511,"sum":92186,"residue":166},{"from_index":511,"to_index":951,"sum":94551,"residue":381},{"from_index":951,"to_index":71,"sum":96271,"residue":381}],"minimal_cycle":[166,381,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[71,511],"circle_positions":430,"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":[72,512,952],"clock_positions":[72,512,952],"native_values":[174,389,389],"rotation_degrees":19.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,389,389],"beta":{"interval_sums":[92061,94426,95931],"interval_residues":[41,256,41],"display_cycle":[41,256,41],"intervals":[{"from_index":72,"to_index":512,"sum":92061,"residue":41},{"from_index":512,"to_index":952,"sum":94426,"residue":256},{"from_index":952,"to_index":72,"sum":95931,"residue":41}],"minimal_cycle":[41,256,41],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[72,512],"circle_positions":430,"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":[73,513,953],"clock_positions":[73,513,953],"native_values":[223,8,223],"rotation_degrees":19.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,8,223],"beta":{"interval_sums":[92227,94807,95882],"interval_residues":[207,207,422],"display_cycle":[207,207,422],"intervals":[{"from_index":73,"to_index":513,"sum":92227,"residue":207},{"from_index":513,"to_index":953,"sum":94807,"residue":207},{"from_index":953,"to_index":73,"sum":95882,"residue":422}],"minimal_cycle":[207,207,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[73,513],"circle_positions":430,"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":[74,514,954],"clock_positions":[74,514,954],"native_values":[397,397,182],"rotation_degrees":20.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,397,182],"beta":{"interval_sums":[91838,94633,95923],"interval_residues":[248,33,33],"display_cycle":[248,33,33],"intervals":[{"from_index":74,"to_index":514,"sum":91838,"residue":248},{"from_index":514,"to_index":954,"sum":94633,"residue":33},{"from_index":954,"to_index":74,"sum":95923,"residue":33}],"minimal_cycle":[248,33,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[74,514],"circle_positions":430,"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":[75,515,955],"clock_positions":[75,515,955],"native_values":[190,405,405],"rotation_degrees":20.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,405,405],"beta":{"interval_sums":[92045,94410,95915],"interval_residues":[25,240,25],"display_cycle":[25,240,25],"intervals":[{"from_index":75,"to_index":515,"sum":92045,"residue":25},{"from_index":515,"to_index":955,"sum":94410,"residue":240},{"from_index":955,"to_index":75,"sum":95915,"residue":25}],"minimal_cycle":[25,240,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[75,515],"circle_positions":430,"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":[76,516,956],"clock_positions":[76,516,956],"native_values":[157,372,157],"rotation_degrees":20.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,372,157],"beta":{"interval_sums":[92293,94443,95948],"interval_residues":[273,273,58],"display_cycle":[273,273,58],"intervals":[{"from_index":76,"to_index":516,"sum":92293,"residue":273},{"from_index":516,"to_index":956,"sum":94443,"residue":273},{"from_index":956,"to_index":76,"sum":95948,"residue":58}],"minimal_cycle":[273,273,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[76,516],"circle_positions":430,"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":[77,517,957],"clock_positions":[77,517,957],"native_values":[347,347,132],"rotation_degrees":21.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,347,132],"beta":{"interval_sums":[92318,94253,95973],"interval_residues":[298,83,83],"display_cycle":[298,83,83],"intervals":[{"from_index":77,"to_index":517,"sum":92318,"residue":298},{"from_index":517,"to_index":957,"sum":94253,"residue":83},{"from_index":957,"to_index":77,"sum":95973,"residue":83}],"minimal_cycle":[298,83,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[77,517],"circle_positions":430,"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":[78,518,958],"clock_positions":[78,518,958],"native_values":[74,289,289],"rotation_degrees":21.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,289,289],"beta":{"interval_sums":[92591,94096,96031],"interval_residues":[141,356,141],"display_cycle":[141,356,141],"intervals":[{"from_index":78,"to_index":518,"sum":92591,"residue":141},{"from_index":518,"to_index":958,"sum":94096,"residue":356},{"from_index":958,"to_index":78,"sum":96031,"residue":141}],"minimal_cycle":[141,356,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[78,518],"circle_positions":430,"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":[79,519,959],"clock_positions":[79,519,959],"native_values":[421,206,421],"rotation_degrees":21.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,206,421],"beta":{"interval_sums":[92459,94179,95684],"interval_residues":[9,9,224],"display_cycle":[9,9,224],"intervals":[{"from_index":79,"to_index":519,"sum":92459,"residue":9},{"from_index":519,"to_index":959,"sum":94179,"residue":9},{"from_index":959,"to_index":79,"sum":95684,"residue":224}],"minimal_cycle":[9,9,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":9,"start_interval_clock_positions":[79,519],"circle_positions":430,"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":[80,520,960],"clock_positions":[80,520,960],"native_values":[65,65,280],"rotation_degrees":21.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,280],"beta":{"interval_sums":[92600,94535,95825],"interval_residues":[150,365,365],"display_cycle":[150,365,365],"intervals":[{"from_index":80,"to_index":520,"sum":92600,"residue":150},{"from_index":520,"to_index":960,"sum":94535,"residue":365},{"from_index":960,"to_index":80,"sum":95825,"residue":365}],"minimal_cycle":[150,365,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[80,520],"circle_positions":430,"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":[81,521,961],"clock_positions":[81,521,961],"native_values":[56,271,271],"rotation_degrees":22.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,271,271],"beta":{"interval_sums":[92609,94544,95619],"interval_residues":[159,374,159],"display_cycle":[159,374,159],"intervals":[{"from_index":81,"to_index":521,"sum":92609,"residue":159},{"from_index":521,"to_index":961,"sum":94544,"residue":374},{"from_index":961,"to_index":81,"sum":95619,"residue":159}],"minimal_cycle":[159,374,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[81,521],"circle_positions":430,"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":[82,522,962],"clock_positions":[82,522,962],"native_values":[121,336,121],"rotation_degrees":22.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,336,121],"beta":{"interval_sums":[92759,94479,95554],"interval_residues":[309,309,94],"display_cycle":[309,309,94],"intervals":[{"from_index":82,"to_index":522,"sum":92759,"residue":309},{"from_index":522,"to_index":962,"sum":94479,"residue":309},{"from_index":962,"to_index":82,"sum":95554,"residue":94}],"minimal_cycle":[309,309,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[82,522],"circle_positions":430,"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":[83,523,963],"clock_positions":[83,523,963],"native_values":[177,177,392],"rotation_degrees":22.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,177,392],"beta":{"interval_sums":[92918,94423,95283],"interval_residues":[38,253,253],"display_cycle":[38,253,253],"intervals":[{"from_index":83,"to_index":523,"sum":92918,"residue":38},{"from_index":523,"to_index":963,"sum":94423,"residue":253},{"from_index":963,"to_index":83,"sum":95283,"residue":253}],"minimal_cycle":[38,253,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[83,523],"circle_positions":430,"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":[84,524,964],"clock_positions":[84,524,964],"native_values":[298,83,83],"rotation_degrees":22.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,83,83],"beta":{"interval_sums":[92797,94732,95377],"interval_residues":[347,132,347],"display_cycle":[347,132,347],"intervals":[{"from_index":84,"to_index":524,"sum":92797,"residue":347},{"from_index":524,"to_index":964,"sum":94732,"residue":132},{"from_index":964,"to_index":84,"sum":95377,"residue":347}],"minimal_cycle":[347,132,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[84,524],"circle_positions":430,"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":[85,525,965],"clock_positions":[85,525,965],"native_values":[45,260,45],"rotation_degrees":23.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,260,45],"beta":{"interval_sums":[92835,94555,95630],"interval_residues":[385,385,170],"display_cycle":[385,385,170],"intervals":[{"from_index":85,"to_index":525,"sum":92835,"residue":385},{"from_index":525,"to_index":965,"sum":94555,"residue":385},{"from_index":965,"to_index":85,"sum":95630,"residue":170}],"minimal_cycle":[385,385,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[85,525],"circle_positions":430,"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":[86,526,966],"clock_positions":[86,526,966],"native_values":[343,343,128],"rotation_degrees":23.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,343,128],"beta":{"interval_sums":[92752,94257,95547],"interval_residues":[302,87,87],"display_cycle":[302,87,87],"intervals":[{"from_index":86,"to_index":526,"sum":92752,"residue":302},{"from_index":526,"to_index":966,"sum":94257,"residue":87},{"from_index":966,"to_index":86,"sum":95547,"residue":87}],"minimal_cycle":[302,87,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[86,526],"circle_positions":430,"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":[87,527,967],"clock_positions":[87,527,967],"native_values":[388,173,173],"rotation_degrees":23.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,173,173],"beta":{"interval_sums":[92707,94212,95717],"interval_residues":[257,42,257],"display_cycle":[257,42,257],"intervals":[{"from_index":87,"to_index":527,"sum":92707,"residue":257},{"from_index":527,"to_index":967,"sum":94212,"residue":42},{"from_index":967,"to_index":87,"sum":95717,"residue":257}],"minimal_cycle":[257,42,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[87,527],"circle_positions":430,"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":[88,528,968],"clock_positions":[88,528,968],"native_values":[301,86,301],"rotation_degrees":24.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,86,301],"beta":{"interval_sums":[92579,94299,95804],"interval_residues":[129,129,344],"display_cycle":[129,129,344],"intervals":[{"from_index":88,"to_index":528,"sum":92579,"residue":129},{"from_index":528,"to_index":968,"sum":94299,"residue":129},{"from_index":968,"to_index":88,"sum":95804,"residue":344}],"minimal_cycle":[129,129,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[88,528],"circle_positions":430,"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":[89,529,969],"clock_positions":[89,529,969],"native_values":[259,259,44],"rotation_degrees":24.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,259,44],"beta":{"interval_sums":[92406,94341,96061],"interval_residues":[386,171,171],"display_cycle":[386,171,171],"intervals":[{"from_index":89,"to_index":529,"sum":92406,"residue":386},{"from_index":529,"to_index":969,"sum":94341,"residue":171},{"from_index":969,"to_index":89,"sum":96061,"residue":171}],"minimal_cycle":[386,171,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[89,529],"circle_positions":430,"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":[90,530,970],"clock_positions":[90,530,970],"native_values":[130,345,345],"rotation_degrees":24.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,345,345],"beta":{"interval_sums":[92535,94040,95975],"interval_residues":[85,300,85],"display_cycle":[85,300,85],"intervals":[{"from_index":90,"to_index":530,"sum":92535,"residue":85},{"from_index":530,"to_index":970,"sum":94040,"residue":300},{"from_index":970,"to_index":90,"sum":95975,"residue":85}],"minimal_cycle":[85,300,85],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[90,530],"circle_positions":430,"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":[91,531,971],"clock_positions":[91,531,971],"native_values":[389,174,389],"rotation_degrees":24.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,174,389],"beta":{"interval_sums":[92491,94211,95716],"interval_residues":[41,41,256],"display_cycle":[41,41,256],"intervals":[{"from_index":91,"to_index":531,"sum":92491,"residue":41},{"from_index":531,"to_index":971,"sum":94211,"residue":41},{"from_index":971,"to_index":91,"sum":95716,"residue":256}],"minimal_cycle":[41,41,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[91,531],"circle_positions":430,"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":[92,532,972],"clock_positions":[92,532,972],"native_values":[89,89,304],"rotation_degrees":25.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,89,304],"beta":{"interval_sums":[92576,94511,95801],"interval_residues":[126,341,341],"display_cycle":[126,341,341],"intervals":[{"from_index":92,"to_index":532,"sum":92576,"residue":126},{"from_index":532,"to_index":972,"sum":94511,"residue":341},{"from_index":972,"to_index":92,"sum":95801,"residue":341}],"minimal_cycle":[126,341,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[92,532],"circle_positions":430,"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":[93,533,973],"clock_positions":[93,533,973],"native_values":[48,263,263],"rotation_degrees":25.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,263,263],"beta":{"interval_sums":[92617,94552,95627],"interval_residues":[167,382,167],"display_cycle":[167,382,167],"intervals":[{"from_index":93,"to_index":533,"sum":92617,"residue":167},{"from_index":533,"to_index":973,"sum":94552,"residue":382},{"from_index":973,"to_index":93,"sum":95627,"residue":167}],"minimal_cycle":[167,382,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[93,533],"circle_positions":430,"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":[94,534,974],"clock_positions":[94,534,974],"native_values":[137,352,137],"rotation_degrees":25.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,352,137],"beta":{"interval_sums":[92743,94463,95538],"interval_residues":[293,293,78],"display_cycle":[293,293,78],"intervals":[{"from_index":94,"to_index":534,"sum":92743,"residue":293},{"from_index":534,"to_index":974,"sum":94463,"residue":293},{"from_index":974,"to_index":94,"sum":95538,"residue":78}],"minimal_cycle":[293,293,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[94,534],"circle_positions":430,"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":[95,535,975],"clock_positions":[95,535,975],"native_values":[185,185,400],"rotation_degrees":25.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,185,400],"beta":{"interval_sums":[92910,94415,95275],"interval_residues":[30,245,245],"display_cycle":[30,245,245],"intervals":[{"from_index":95,"to_index":535,"sum":92910,"residue":30},{"from_index":535,"to_index":975,"sum":94415,"residue":245},{"from_index":975,"to_index":95,"sum":95275,"residue":245}],"minimal_cycle":[30,245,245],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[95,535],"circle_positions":430,"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":[96,536,976],"clock_positions":[96,536,976],"native_values":[322,107,107],"rotation_degrees":26.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,107,107],"beta":{"interval_sums":[92773,94708,95353],"interval_residues":[323,108,323],"display_cycle":[323,108,323],"intervals":[{"from_index":96,"to_index":536,"sum":92773,"residue":323},{"from_index":536,"to_index":976,"sum":94708,"residue":108},{"from_index":976,"to_index":96,"sum":95353,"residue":323}],"minimal_cycle":[323,108,323],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[96,536],"circle_positions":430,"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":[97,537,977],"clock_positions":[97,537,977],"native_values":[77,292,77],"rotation_degrees":26.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,292,77],"beta":{"interval_sums":[92803,94523,95598],"interval_residues":[353,353,138],"display_cycle":[353,353,138],"intervals":[{"from_index":97,"to_index":537,"sum":92803,"residue":353},{"from_index":537,"to_index":977,"sum":94523,"residue":353},{"from_index":977,"to_index":97,"sum":95598,"residue":138}],"minimal_cycle":[353,353,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[97,537],"circle_positions":430,"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":[98,538,978],"clock_positions":[98,538,978],"native_values":[399,399,184],"rotation_degrees":26.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,399,184],"beta":{"interval_sums":[92696,94201,95491],"interval_residues":[246,31,31],"display_cycle":[246,31,31],"intervals":[{"from_index":98,"to_index":538,"sum":92696,"residue":246},{"from_index":538,"to_index":978,"sum":94201,"residue":31},{"from_index":978,"to_index":98,"sum":95491,"residue":31}],"minimal_cycle":[246,31,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[98,538],"circle_positions":430,"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":[99,539,979],"clock_positions":[99,539,979],"native_values":[46,261,261],"rotation_degrees":27.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,261,261],"beta":{"interval_sums":[93049,94124,95629],"interval_residues":[169,384,169],"display_cycle":[169,384,169],"intervals":[{"from_index":99,"to_index":539,"sum":93049,"residue":169},{"from_index":539,"to_index":979,"sum":94124,"residue":384},{"from_index":979,"to_index":99,"sum":95629,"residue":169}],"minimal_cycle":[169,384,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[99,539],"circle_positions":430,"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":[100,540,980],"clock_positions":[100,540,980],"native_values":[15,230,15],"rotation_degrees":27.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,230,15],"beta":{"interval_sums":[93295,94155,95660],"interval_residues":[415,415,200],"display_cycle":[415,415,200],"intervals":[{"from_index":100,"to_index":540,"sum":93295,"residue":415},{"from_index":540,"to_index":980,"sum":94155,"residue":415},{"from_index":980,"to_index":100,"sum":95660,"residue":200}],"minimal_cycle":[415,415,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":415,"start_interval_clock_positions":[100,540],"circle_positions":430,"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":[101,541,981],"clock_positions":[101,541,981],"native_values":[61,61,276],"rotation_degrees":27.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,61,276],"beta":{"interval_sums":[93464,94109,95399],"interval_residues":[154,369,369],"display_cycle":[154,369,369],"intervals":[{"from_index":101,"to_index":541,"sum":93464,"residue":154},{"from_index":541,"to_index":981,"sum":94109,"residue":369},{"from_index":981,"to_index":101,"sum":95399,"residue":369}],"minimal_cycle":[154,369,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[101,541],"circle_positions":430,"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":[102,542,982],"clock_positions":[102,542,982],"native_values":[76,291,291],"rotation_degrees":27.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,291,291],"beta":{"interval_sums":[93449,94094,95169],"interval_residues":[139,354,139],"display_cycle":[139,354,139],"intervals":[{"from_index":102,"to_index":542,"sum":93449,"residue":139},{"from_index":542,"to_index":982,"sum":94094,"residue":354},{"from_index":982,"to_index":102,"sum":95169,"residue":139}],"minimal_cycle":[139,354,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":139,"start_interval_clock_positions":[102,542],"circle_positions":430,"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":[103,543,983],"clock_positions":[103,543,983],"native_values":[137,352,137],"rotation_degrees":28.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,352,137],"beta":{"interval_sums":[93603,94033,95108],"interval_residues":[293,293,78],"display_cycle":[293,293,78],"intervals":[{"from_index":103,"to_index":543,"sum":93603,"residue":293},{"from_index":543,"to_index":983,"sum":94033,"residue":293},{"from_index":983,"to_index":103,"sum":95108,"residue":78}],"minimal_cycle":[293,293,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[103,543],"circle_positions":430,"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":[104,544,984],"clock_positions":[104,544,984],"native_values":[213,213,428],"rotation_degrees":28.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,213,428],"beta":{"interval_sums":[93742,93957,94817],"interval_residues":[2,217,217],"display_cycle":[2,217,217],"intervals":[{"from_index":104,"to_index":544,"sum":93742,"residue":2},{"from_index":544,"to_index":984,"sum":93957,"residue":217},{"from_index":984,"to_index":104,"sum":94817,"residue":217}],"minimal_cycle":[2,217,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[104,544],"circle_positions":430,"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":[105,545,985],"clock_positions":[105,545,985],"native_values":[350,135,135],"rotation_degrees":28.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,135,135],"beta":{"interval_sums":[93605,94250,94895],"interval_residues":[295,80,295],"display_cycle":[295,80,295],"intervals":[{"from_index":105,"to_index":545,"sum":93605,"residue":295},{"from_index":545,"to_index":985,"sum":94250,"residue":80},{"from_index":985,"to_index":105,"sum":94895,"residue":295}],"minimal_cycle":[295,80,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[105,545],"circle_positions":430,"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":[106,546,986],"clock_positions":[106,546,986],"native_values":[133,348,133],"rotation_degrees":28.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,348,133],"beta":{"interval_sums":[93607,94037,95112],"interval_residues":[297,297,82],"display_cycle":[297,297,82],"intervals":[{"from_index":106,"to_index":546,"sum":93607,"residue":297},{"from_index":546,"to_index":986,"sum":94037,"residue":297},{"from_index":986,"to_index":106,"sum":95112,"residue":82}],"minimal_cycle":[297,297,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[106,546],"circle_positions":430,"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":[107,547,987],"clock_positions":[107,547,987],"native_values":[53,53,268],"rotation_degrees":29.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,53,268],"beta":{"interval_sums":[93902,94117,94977],"interval_residues":[162,377,377],"display_cycle":[162,377,377],"intervals":[{"from_index":107,"to_index":547,"sum":93902,"residue":162},{"from_index":547,"to_index":987,"sum":94117,"residue":377},{"from_index":987,"to_index":107,"sum":94977,"residue":377}],"minimal_cycle":[162,377,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[107,547],"circle_positions":430,"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":[108,548,988],"clock_positions":[108,548,988],"native_values":[186,401,401],"rotation_degrees":29.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[186,401,401],"beta":{"interval_sums":[93769,93984,94629],"interval_residues":[29,244,29],"display_cycle":[29,244,29],"intervals":[{"from_index":108,"to_index":548,"sum":93769,"residue":29},{"from_index":548,"to_index":988,"sum":93984,"residue":244},{"from_index":988,"to_index":108,"sum":94629,"residue":29}],"minimal_cycle":[29,244,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[108,548],"circle_positions":430,"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":[109,549,989],"clock_positions":[109,549,989],"native_values":[239,24,239],"rotation_degrees":29.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,24,239],"beta":{"interval_sums":[93931,94361,94576],"interval_residues":[191,191,406],"display_cycle":[191,191,406],"intervals":[{"from_index":109,"to_index":549,"sum":93931,"residue":191},{"from_index":549,"to_index":989,"sum":94361,"residue":191},{"from_index":989,"to_index":109,"sum":94576,"residue":406}],"minimal_cycle":[191,191,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[109,549],"circle_positions":430,"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":[110,550,990],"clock_positions":[110,550,990],"native_values":[425,425,210],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,425,210],"beta":{"interval_sums":[93530,94175,94605],"interval_residues":[220,5,5],"display_cycle":[220,5,5],"intervals":[{"from_index":110,"to_index":550,"sum":93530,"residue":220},{"from_index":550,"to_index":990,"sum":94175,"residue":5},{"from_index":990,"to_index":110,"sum":94605,"residue":5}],"minimal_cycle":[220,5,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[110,550],"circle_positions":430,"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":[111,551,991],"clock_positions":[111,551,991],"native_values":[234,19,19],"rotation_degrees":30.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[234,19,19],"beta":{"interval_sums":[93721,94366,95011],"interval_residues":[411,196,411],"display_cycle":[411,196,411],"intervals":[{"from_index":111,"to_index":551,"sum":93721,"residue":411},{"from_index":551,"to_index":991,"sum":94366,"residue":196},{"from_index":991,"to_index":111,"sum":95011,"residue":411}],"minimal_cycle":[411,196,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[111,551],"circle_positions":430,"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":[112,552,992],"clock_positions":[112,552,992],"native_values":[229,14,229],"rotation_degrees":30.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,14,229],"beta":{"interval_sums":[93511,94371,95016],"interval_residues":[201,201,416],"display_cycle":[201,201,416],"intervals":[{"from_index":112,"to_index":552,"sum":93511,"residue":201},{"from_index":552,"to_index":992,"sum":94371,"residue":201},{"from_index":992,"to_index":112,"sum":95016,"residue":416}],"minimal_cycle":[201,201,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[112,552],"circle_positions":430,"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":[113,553,993],"clock_positions":[113,553,993],"native_values":[33,33,248],"rotation_degrees":30.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,33,248],"beta":{"interval_sums":[93492,94567,94997],"interval_residues":[182,397,397],"display_cycle":[182,397,397],"intervals":[{"from_index":113,"to_index":553,"sum":93492,"residue":182},{"from_index":553,"to_index":993,"sum":94567,"residue":397},{"from_index":993,"to_index":113,"sum":94997,"residue":397}],"minimal_cycle":[182,397,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[113,553],"circle_positions":430,"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":[114,554,994],"clock_positions":[114,554,994],"native_values":[262,47,47],"rotation_degrees":31.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,47,47],"beta":{"interval_sums":[93263,94768,94983],"interval_residues":[383,168,383],"display_cycle":[383,168,383],"intervals":[{"from_index":114,"to_index":554,"sum":93263,"residue":383},{"from_index":554,"to_index":994,"sum":94768,"residue":168},{"from_index":994,"to_index":114,"sum":94983,"residue":383}],"minimal_cycle":[383,168,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[114,554],"circle_positions":430,"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":[115,555,995],"clock_positions":[115,555,995],"native_values":[295,80,295],"rotation_degrees":31.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,80,295],"beta":{"interval_sums":[93015,94735,94950],"interval_residues":[135,135,350],"display_cycle":[135,135,350],"intervals":[{"from_index":115,"to_index":555,"sum":93015,"residue":135},{"from_index":555,"to_index":995,"sum":94735,"residue":135},{"from_index":995,"to_index":115,"sum":94950,"residue":350}],"minimal_cycle":[135,135,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[115,555],"circle_positions":430,"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":[116,556,996],"clock_positions":[116,556,996],"native_values":[127,127,342],"rotation_degrees":31.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,127,342],"beta":{"interval_sums":[92968,94903,94903],"interval_residues":[88,303,303],"display_cycle":[88,303,303],"intervals":[{"from_index":116,"to_index":556,"sum":92968,"residue":88},{"from_index":556,"to_index":996,"sum":94903,"residue":303},{"from_index":996,"to_index":116,"sum":94903,"residue":303}],"minimal_cycle":[88,303,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[116,556],"circle_positions":430,"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":[117,557,997],"clock_positions":[117,557,997],"native_values":[422,207,207],"rotation_degrees":31.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,207,207],"beta":{"interval_sums":[92673,95038,94823],"interval_residues":[223,8,223],"display_cycle":[223,8,223],"intervals":[{"from_index":117,"to_index":557,"sum":92673,"residue":223},{"from_index":557,"to_index":997,"sum":95038,"residue":8},{"from_index":997,"to_index":117,"sum":94823,"residue":223}],"minimal_cycle":[223,8,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[117,557],"circle_positions":430,"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":[118,558,998],"clock_positions":[118,558,998],"native_values":[119,334,119],"rotation_degrees":32.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,334,119],"beta":{"interval_sums":[92761,94911,95126],"interval_residues":[311,311,96],"display_cycle":[311,311,96],"intervals":[{"from_index":118,"to_index":558,"sum":92761,"residue":311},{"from_index":558,"to_index":998,"sum":94911,"residue":311},{"from_index":998,"to_index":118,"sum":95126,"residue":96}],"minimal_cycle":[311,311,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[118,558],"circle_positions":430,"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":[119,559,999],"clock_positions":[119,559,999],"native_values":[111,111,326],"rotation_degrees":32.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,111,326],"beta":{"interval_sums":[92984,94919,94919],"interval_residues":[104,319,319],"display_cycle":[104,319,319],"intervals":[{"from_index":119,"to_index":559,"sum":92984,"residue":104},{"from_index":559,"to_index":999,"sum":94919,"residue":319},{"from_index":999,"to_index":119,"sum":94919,"residue":319}],"minimal_cycle":[104,319,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[119,559],"circle_positions":430,"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":[120,560,1000],"clock_positions":[120,560,1000],"native_values":[230,15,15],"rotation_degrees":32.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,15,15],"beta":{"interval_sums":[92865,95230,95015],"interval_residues":[415,200,415],"display_cycle":[415,200,415],"intervals":[{"from_index":120,"to_index":560,"sum":92865,"residue":415},{"from_index":560,"to_index":1000,"sum":95230,"residue":200},{"from_index":1000,"to_index":120,"sum":95015,"residue":415}],"minimal_cycle":[415,200,415],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":415,"start_interval_clock_positions":[120,560],"circle_positions":430,"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":[121,561,1001],"clock_positions":[121,561,1001],"native_values":[341,126,341],"rotation_degrees":33.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,126,341],"beta":{"interval_sums":[92539,95119,94904],"interval_residues":[89,89,304],"display_cycle":[89,89,304],"intervals":[{"from_index":121,"to_index":561,"sum":92539,"residue":89},{"from_index":561,"to_index":1001,"sum":95119,"residue":89},{"from_index":1001,"to_index":121,"sum":94904,"residue":304}],"minimal_cycle":[89,89,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[121,561],"circle_positions":430,"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":[122,562,1002],"clock_positions":[122,562,1002],"native_values":[141,141,356],"rotation_degrees":33.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,141,356],"beta":{"interval_sums":[92524,95319,94889],"interval_residues":[74,289,289],"display_cycle":[74,289,289],"intervals":[{"from_index":122,"to_index":562,"sum":92524,"residue":74},{"from_index":562,"to_index":1002,"sum":95319,"residue":289},{"from_index":1002,"to_index":122,"sum":94889,"residue":289}],"minimal_cycle":[74,289,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[122,562],"circle_positions":430,"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":[123,563,1003],"clock_positions":[123,563,1003],"native_values":[52,267,267],"rotation_degrees":33.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,267,267],"beta":{"interval_sums":[92613,95408,94763],"interval_residues":[163,378,163],"display_cycle":[163,378,163],"intervals":[{"from_index":123,"to_index":563,"sum":92613,"residue":163},{"from_index":563,"to_index":1003,"sum":95408,"residue":378},{"from_index":1003,"to_index":123,"sum":94763,"residue":163}],"minimal_cycle":[163,378,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":163,"start_interval_clock_positions":[123,563],"circle_positions":430,"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":[124,564,1004],"clock_positions":[124,564,1004],"native_values":[193,408,193],"rotation_degrees":33.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,408,193],"beta":{"interval_sums":[92687,95267,94622],"interval_residues":[237,237,22],"display_cycle":[237,237,22],"intervals":[{"from_index":124,"to_index":564,"sum":92687,"residue":237},{"from_index":564,"to_index":1004,"sum":95267,"residue":237},{"from_index":1004,"to_index":124,"sum":94622,"residue":22}],"minimal_cycle":[237,237,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[124,564],"circle_positions":430,"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":[125,565,1005],"clock_positions":[125,565,1005],"native_values":[245,245,30],"rotation_degrees":34.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,245,30],"beta":{"interval_sums":[92850,95215,94785],"interval_residues":[400,185,185],"display_cycle":[400,185,185],"intervals":[{"from_index":125,"to_index":565,"sum":92850,"residue":400},{"from_index":565,"to_index":1005,"sum":95215,"residue":185},{"from_index":1005,"to_index":125,"sum":94785,"residue":185}],"minimal_cycle":[400,185,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[125,565],"circle_positions":430,"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":[126,566,1006],"clock_positions":[126,566,1006],"native_values":[8,223,223],"rotation_degrees":34.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,223,223],"beta":{"interval_sums":[93087,95022,94807],"interval_residues":[207,422,207],"display_cycle":[207,422,207],"intervals":[{"from_index":126,"to_index":566,"sum":93087,"residue":207},{"from_index":566,"to_index":1006,"sum":95022,"residue":422},{"from_index":1006,"to_index":126,"sum":94807,"residue":207}],"minimal_cycle":[207,422,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[126,566],"circle_positions":430,"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":[127,567,1007],"clock_positions":[127,567,1007],"native_values":[253,38,253],"rotation_degrees":34.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,38,253],"beta":{"interval_sums":[93057,95207,94562],"interval_residues":[177,177,392],"display_cycle":[177,177,392],"intervals":[{"from_index":127,"to_index":567,"sum":93057,"residue":177},{"from_index":567,"to_index":1007,"sum":95207,"residue":177},{"from_index":1007,"to_index":127,"sum":94562,"residue":392}],"minimal_cycle":[177,177,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[127,567],"circle_positions":430,"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":[128,568,1008],"clock_positions":[128,568,1008],"native_values":[261,261,46],"rotation_degrees":34.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,261,46],"beta":{"interval_sums":[92834,95199,94769],"interval_residues":[384,169,169],"display_cycle":[384,169,169],"intervals":[{"from_index":128,"to_index":568,"sum":92834,"residue":384},{"from_index":568,"to_index":1008,"sum":95199,"residue":169},{"from_index":1008,"to_index":128,"sum":94769,"residue":169}],"minimal_cycle":[384,169,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[128,568],"circle_positions":430,"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":[129,569,1009],"clock_positions":[129,569,1009],"native_values":[84,299,299],"rotation_degrees":35.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[84,299,299],"beta":{"interval_sums":[93011,94946,94731],"interval_residues":[131,346,131],"display_cycle":[131,346,131],"intervals":[{"from_index":129,"to_index":569,"sum":93011,"residue":131},{"from_index":569,"to_index":1009,"sum":94946,"residue":346},{"from_index":1009,"to_index":129,"sum":94731,"residue":131}],"minimal_cycle":[131,346,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[129,569],"circle_positions":430,"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":[130,570,1010],"clock_positions":[130,570,1010],"native_values":[345,130,345],"rotation_degrees":35.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,130,345],"beta":{"interval_sums":[92965,95115,94470],"interval_residues":[85,85,300],"display_cycle":[85,85,300],"intervals":[{"from_index":130,"to_index":570,"sum":92965,"residue":85},{"from_index":570,"to_index":1010,"sum":95115,"residue":85},{"from_index":1010,"to_index":130,"sum":94470,"residue":300}],"minimal_cycle":[85,85,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[130,570],"circle_positions":430,"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":[131,571,1011],"clock_positions":[131,571,1011],"native_values":[429,429,214],"rotation_degrees":35.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,429,214],"beta":{"interval_sums":[92666,95031,94601],"interval_residues":[216,1,1],"display_cycle":[216,1,1],"intervals":[{"from_index":131,"to_index":571,"sum":92666,"residue":216},{"from_index":571,"to_index":1011,"sum":95031,"residue":1},{"from_index":1011,"to_index":131,"sum":94601,"residue":1}],"minimal_cycle":[216,1,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[131,571],"circle_positions":430,"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":[132,572,1012],"clock_positions":[132,572,1012],"native_values":[344,129,129],"rotation_degrees":36.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,129,129],"beta":{"interval_sums":[92751,95116,94901],"interval_residues":[301,86,301],"display_cycle":[301,86,301],"intervals":[{"from_index":132,"to_index":572,"sum":92751,"residue":301},{"from_index":572,"to_index":1012,"sum":95116,"residue":86},{"from_index":1012,"to_index":132,"sum":94901,"residue":301}],"minimal_cycle":[301,86,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[132,572],"circle_positions":430,"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":[133,573,1013],"clock_positions":[133,573,1013],"native_values":[343,128,343],"rotation_degrees":36.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,128,343],"beta":{"interval_sums":[92537,95117,94902],"interval_residues":[87,87,302],"display_cycle":[87,87,302],"intervals":[{"from_index":133,"to_index":573,"sum":92537,"residue":87},{"from_index":573,"to_index":1013,"sum":95117,"residue":87},{"from_index":1013,"to_index":133,"sum":94902,"residue":302}],"minimal_cycle":[87,87,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[133,573],"circle_positions":430,"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":[134,574,1014],"clock_positions":[134,574,1014],"native_values":[257,257,42],"rotation_degrees":36.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,257,42],"beta":{"interval_sums":[92408,95203,95203],"interval_residues":[388,173,173],"display_cycle":[388,173,173],"intervals":[{"from_index":134,"to_index":574,"sum":92408,"residue":388},{"from_index":574,"to_index":1014,"sum":95203,"residue":173},{"from_index":1014,"to_index":134,"sum":95203,"residue":173}],"minimal_cycle":[388,173,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[134,574],"circle_positions":430,"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":[135,575,1015],"clock_positions":[135,575,1015],"native_values":[170,385,385],"rotation_degrees":36.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,385,385],"beta":{"interval_sums":[92495,94860,95075],"interval_residues":[45,260,45],"display_cycle":[45,260,45],"intervals":[{"from_index":135,"to_index":575,"sum":92495,"residue":45},{"from_index":575,"to_index":1015,"sum":94860,"residue":260},{"from_index":1015,"to_index":135,"sum":95075,"residue":45}],"minimal_cycle":[45,260,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":45,"start_interval_clock_positions":[135,575],"circle_positions":430,"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":[136,576,1016],"clock_positions":[136,576,1016],"native_values":[427,212,427],"rotation_degrees":37.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,212,427],"beta":{"interval_sums":[92453,95033,94818],"interval_residues":[3,3,218],"display_cycle":[3,3,218],"intervals":[{"from_index":136,"to_index":576,"sum":92453,"residue":3},{"from_index":576,"to_index":1016,"sum":95033,"residue":3},{"from_index":1016,"to_index":136,"sum":94818,"residue":218}],"minimal_cycle":[3,3,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[136,576],"circle_positions":430,"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":[137,577,1017],"clock_positions":[137,577,1017],"native_values":[167,167,382],"rotation_degrees":37.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,167,382],"beta":{"interval_sums":[92498,95293,94863],"interval_residues":[48,263,263],"display_cycle":[48,263,263],"intervals":[{"from_index":137,"to_index":577,"sum":92498,"residue":48},{"from_index":577,"to_index":1017,"sum":95293,"residue":263},{"from_index":1017,"to_index":137,"sum":94863,"residue":263}],"minimal_cycle":[48,263,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[137,577],"circle_positions":430,"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":[138,578,1018],"clock_positions":[138,578,1018],"native_values":[164,379,379],"rotation_degrees":37.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,379,379],"beta":{"interval_sums":[92501,95296,94651],"interval_residues":[51,266,51],"display_cycle":[51,266,51],"intervals":[{"from_index":138,"to_index":578,"sum":92501,"residue":51},{"from_index":578,"to_index":1018,"sum":95296,"residue":266},{"from_index":1018,"to_index":138,"sum":94651,"residue":51}],"minimal_cycle":[51,266,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":51,"start_interval_clock_positions":[138,578],"circle_positions":430,"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":[139,579,1019],"clock_positions":[139,579,1019],"native_values":[331,116,331],"rotation_degrees":37.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,116,331],"beta":{"interval_sums":[92549,95559,94484],"interval_residues":[99,99,314],"display_cycle":[99,99,314],"intervals":[{"from_index":139,"to_index":579,"sum":92549,"residue":99},{"from_index":579,"to_index":1019,"sum":95559,"residue":99},{"from_index":1019,"to_index":139,"sum":94484,"residue":314}],"minimal_cycle":[99,99,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[139,579],"circle_positions":430,"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":[140,580,1020],"clock_positions":[140,580,1020],"native_values":[65,65,280],"rotation_degrees":38.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,280],"beta":{"interval_sums":[92600,95825,94535],"interval_residues":[150,365,365],"display_cycle":[150,365,365],"intervals":[{"from_index":140,"to_index":580,"sum":92600,"residue":150},{"from_index":580,"to_index":1020,"sum":95825,"residue":365},{"from_index":1020,"to_index":140,"sum":94535,"residue":365}],"minimal_cycle":[150,365,365],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[140,580],"circle_positions":430,"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":[141,581,1021],"clock_positions":[141,581,1021],"native_values":[396,181,181],"rotation_degrees":38.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,181,181],"beta":{"interval_sums":[92269,95924,94419],"interval_residues":[249,34,249],"display_cycle":[249,34,249],"intervals":[{"from_index":141,"to_index":581,"sum":92269,"residue":249},{"from_index":581,"to_index":1021,"sum":95924,"residue":34},{"from_index":1021,"to_index":141,"sum":94419,"residue":249}],"minimal_cycle":[249,34,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[141,581],"circle_positions":430,"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":[142,582,1022],"clock_positions":[142,582,1022],"native_values":[31,246,31],"rotation_degrees":38.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,246,31],"beta":{"interval_sums":[92419,95859,94784],"interval_residues":[399,399,184],"display_cycle":[399,399,184],"intervals":[{"from_index":142,"to_index":582,"sum":92419,"residue":399},{"from_index":582,"to_index":1022,"sum":95859,"residue":399},{"from_index":1022,"to_index":142,"sum":94784,"residue":184}],"minimal_cycle":[399,399,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":399,"start_interval_clock_positions":[142,582],"circle_positions":430,"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":[143,583,1023],"clock_positions":[143,583,1023],"native_values":[427,427,212],"rotation_degrees":39.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,427,212],"beta":{"interval_sums":[92238,95463,94603],"interval_residues":[218,3,3],"display_cycle":[218,3,3],"intervals":[{"from_index":143,"to_index":583,"sum":92238,"residue":218},{"from_index":583,"to_index":1023,"sum":95463,"residue":3},{"from_index":1023,"to_index":143,"sum":94603,"residue":3}],"minimal_cycle":[218,3,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[143,583],"circle_positions":430,"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":[144,584,1024],"clock_positions":[144,584,1024],"native_values":[28,243,243],"rotation_degrees":39.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[28,243,243],"beta":{"interval_sums":[92637,95432,94787],"interval_residues":[187,402,187],"display_cycle":[187,402,187],"intervals":[{"from_index":144,"to_index":584,"sum":92637,"residue":187},{"from_index":584,"to_index":1024,"sum":95432,"residue":402},{"from_index":1024,"to_index":144,"sum":94787,"residue":187}],"minimal_cycle":[187,402,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[144,584],"circle_positions":430,"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":[145,585,1025],"clock_positions":[145,585,1025],"native_values":[25,240,25],"rotation_degrees":39.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,240,25],"beta":{"interval_sums":[92855,95435,94790],"interval_residues":[405,405,190],"display_cycle":[405,405,190],"intervals":[{"from_index":145,"to_index":585,"sum":92855,"residue":405},{"from_index":585,"to_index":1025,"sum":95435,"residue":405},{"from_index":1025,"to_index":145,"sum":94790,"residue":190}],"minimal_cycle":[405,405,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[145,585],"circle_positions":430,"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":[146,586,1026],"clock_positions":[146,586,1026],"native_values":[53,53,268],"rotation_degrees":39.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,53,268],"beta":{"interval_sums":[93042,95407,94547],"interval_residues":[162,377,377],"display_cycle":[162,377,377],"intervals":[{"from_index":146,"to_index":586,"sum":93042,"residue":162},{"from_index":586,"to_index":1026,"sum":95407,"residue":377},{"from_index":1026,"to_index":146,"sum":94547,"residue":377}],"minimal_cycle":[162,377,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[146,586],"circle_positions":430,"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":[147,587,1027],"clock_positions":[147,587,1027],"native_values":[78,293,293],"rotation_degrees":40.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,293,293],"beta":{"interval_sums":[93017,95382,94307],"interval_residues":[137,352,137],"display_cycle":[137,352,137],"intervals":[{"from_index":147,"to_index":587,"sum":93017,"residue":137},{"from_index":587,"to_index":1027,"sum":95382,"residue":352},{"from_index":1027,"to_index":147,"sum":94307,"residue":137}],"minimal_cycle":[137,352,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[147,587],"circle_positions":430,"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":[148,588,1028],"clock_positions":[148,588,1028],"native_values":[131,346,131],"rotation_degrees":40.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,346,131],"beta":{"interval_sums":[93179,95329,94254],"interval_residues":[299,299,84],"display_cycle":[299,299,84],"intervals":[{"from_index":148,"to_index":588,"sum":93179,"residue":299},{"from_index":588,"to_index":1028,"sum":95329,"residue":299},{"from_index":1028,"to_index":148,"sum":94254,"residue":84}],"minimal_cycle":[299,299,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[148,588],"circle_positions":430,"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":[149,589,1029],"clock_positions":[149,589,1029],"native_values":[209,209,424],"rotation_degrees":40.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,209,424],"beta":{"interval_sums":[93316,95251,93961],"interval_residues":[6,221,221],"display_cycle":[6,221,221],"intervals":[{"from_index":149,"to_index":589,"sum":93316,"residue":6},{"from_index":589,"to_index":1029,"sum":95251,"residue":221},{"from_index":1029,"to_index":149,"sum":93961,"residue":221}],"minimal_cycle":[6,221,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[149,589],"circle_positions":430,"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":[150,590,1030],"clock_positions":[150,590,1030],"native_values":[340,125,125],"rotation_degrees":40.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,125,125],"beta":{"interval_sums":[93185,95550,94045],"interval_residues":[305,90,305],"display_cycle":[305,90,305],"intervals":[{"from_index":150,"to_index":590,"sum":93185,"residue":305},{"from_index":590,"to_index":1030,"sum":95550,"residue":90},{"from_index":1030,"to_index":150,"sum":94045,"residue":305}],"minimal_cycle":[305,90,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":305,"start_interval_clock_positions":[150,590],"circle_positions":430,"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":[151,591,1031],"clock_positions":[151,591,1031],"native_values":[119,334,119],"rotation_degrees":41.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,334,119],"beta":{"interval_sums":[93191,95341,94266],"interval_residues":[311,311,96],"display_cycle":[311,311,96],"intervals":[{"from_index":151,"to_index":591,"sum":93191,"residue":311},{"from_index":591,"to_index":1031,"sum":95341,"residue":311},{"from_index":1031,"to_index":151,"sum":94266,"residue":96}],"minimal_cycle":[311,311,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[151,591],"circle_positions":430,"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":[152,592,1032],"clock_positions":[152,592,1032],"native_values":[29,29,244],"rotation_degrees":41.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,29,244],"beta":{"interval_sums":[93496,95431,94141],"interval_residues":[186,401,401],"display_cycle":[186,401,401],"intervals":[{"from_index":152,"to_index":592,"sum":93496,"residue":186},{"from_index":592,"to_index":1032,"sum":95431,"residue":401},{"from_index":1032,"to_index":152,"sum":94141,"residue":401}],"minimal_cycle":[186,401,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[152,592],"circle_positions":430,"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":[153,593,1033],"clock_positions":[153,593,1033],"native_values":[148,363,363],"rotation_degrees":41.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,363,363],"beta":{"interval_sums":[93377,95312,93807],"interval_residues":[67,282,67],"display_cycle":[67,282,67],"intervals":[{"from_index":153,"to_index":593,"sum":93377,"residue":67},{"from_index":593,"to_index":1033,"sum":95312,"residue":282},{"from_index":1033,"to_index":153,"sum":93807,"residue":67}],"minimal_cycle":[67,282,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[153,593],"circle_positions":430,"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":[154,594,1034],"clock_positions":[154,594,1034],"native_values":[177,392,177],"rotation_degrees":42.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,392,177],"beta":{"interval_sums":[93563,95283,93778],"interval_residues":[253,253,38],"display_cycle":[253,253,38],"intervals":[{"from_index":154,"to_index":594,"sum":93563,"residue":253},{"from_index":594,"to_index":1034,"sum":95283,"residue":253},{"from_index":1034,"to_index":154,"sum":93778,"residue":38}],"minimal_cycle":[253,253,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[154,594],"circle_positions":430,"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":[155,595,1035],"clock_positions":[155,595,1035],"native_values":[325,325,110],"rotation_degrees":42.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,110],"beta":{"interval_sums":[93630,95135,93845],"interval_residues":[320,105,105],"display_cycle":[320,105,105],"intervals":[{"from_index":155,"to_index":595,"sum":93630,"residue":320},{"from_index":595,"to_index":1035,"sum":95135,"residue":105},{"from_index":1035,"to_index":155,"sum":93845,"residue":105}],"minimal_cycle":[320,105,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[155,595],"circle_positions":430,"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":[156,596,1036],"clock_positions":[156,596,1036],"native_values":[72,287,287],"rotation_degrees":42.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,287,287],"beta":{"interval_sums":[93883,94958,93883],"interval_residues":[143,358,143],"display_cycle":[143,358,143],"intervals":[{"from_index":156,"to_index":596,"sum":93883,"residue":143},{"from_index":596,"to_index":1036,"sum":94958,"residue":358},{"from_index":1036,"to_index":156,"sum":93883,"residue":143}],"minimal_cycle":[143,358,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[156,596],"circle_positions":430,"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":[157,597,1037],"clock_positions":[157,597,1037],"native_values":[397,182,397],"rotation_degrees":42.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,182,397],"beta":{"interval_sums":[93773,95063,93558],"interval_residues":[33,33,248],"display_cycle":[33,33,248],"intervals":[{"from_index":157,"to_index":597,"sum":93773,"residue":33},{"from_index":597,"to_index":1037,"sum":95063,"residue":33},{"from_index":1037,"to_index":157,"sum":93558,"residue":248}],"minimal_cycle":[33,33,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[157,597],"circle_positions":430,"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":[158,598,1038],"clock_positions":[158,598,1038],"native_values":[39,39,254],"rotation_degrees":43.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,39,254],"beta":{"interval_sums":[93916,95421,93701],"interval_residues":[176,391,391],"display_cycle":[176,391,391],"intervals":[{"from_index":158,"to_index":598,"sum":93916,"residue":176},{"from_index":598,"to_index":1038,"sum":95421,"residue":391},{"from_index":1038,"to_index":158,"sum":93701,"residue":391}],"minimal_cycle":[176,391,391],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[158,598],"circle_positions":430,"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":[159,599,1039],"clock_positions":[159,599,1039],"native_values":[6,221,221],"rotation_degrees":43.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[6,221,221],"beta":{"interval_sums":[93949,95454,93519],"interval_residues":[209,424,209],"display_cycle":[209,424,209],"intervals":[{"from_index":159,"to_index":599,"sum":93949,"residue":209},{"from_index":599,"to_index":1039,"sum":95454,"residue":424},{"from_index":1039,"to_index":159,"sum":93519,"residue":209}],"minimal_cycle":[209,424,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":209,"start_interval_clock_positions":[159,599],"circle_positions":430,"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":[160,600,1040],"clock_positions":[160,600,1040],"native_values":[45,260,45],"rotation_degrees":43.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,260,45],"beta":{"interval_sums":[94125,95415,93480],"interval_residues":[385,385,170],"display_cycle":[385,385,170],"intervals":[{"from_index":160,"to_index":600,"sum":94125,"residue":385},{"from_index":600,"to_index":1040,"sum":95415,"residue":385},{"from_index":1040,"to_index":160,"sum":93480,"residue":170}],"minimal_cycle":[385,385,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[160,600],"circle_positions":430,"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":[161,601,1041],"clock_positions":[161,601,1041],"native_values":[51,51,266],"rotation_degrees":43.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,51,266],"beta":{"interval_sums":[94334,95409,93259],"interval_residues":[164,379,379],"display_cycle":[164,379,379],"intervals":[{"from_index":161,"to_index":601,"sum":94334,"residue":164},{"from_index":601,"to_index":1041,"sum":95409,"residue":379},{"from_index":1041,"to_index":161,"sum":93259,"residue":379}],"minimal_cycle":[164,379,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[161,601],"circle_positions":430,"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":[162,602,1042],"clock_positions":[162,602,1042],"native_values":[96,311,311],"rotation_degrees":44.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,311,311],"beta":{"interval_sums":[94289,95364,92999],"interval_residues":[119,334,119],"display_cycle":[119,334,119],"intervals":[{"from_index":162,"to_index":602,"sum":94289,"residue":119},{"from_index":602,"to_index":1042,"sum":95364,"residue":334},{"from_index":1042,"to_index":162,"sum":92999,"residue":119}],"minimal_cycle":[119,334,119],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[162,602],"circle_positions":430,"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":[163,603,1043],"clock_positions":[163,603,1043],"native_values":[147,362,147],"rotation_degrees":44.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,362,147],"beta":{"interval_sums":[94453,95313,92948],"interval_residues":[283,283,68],"display_cycle":[283,283,68],"intervals":[{"from_index":163,"to_index":603,"sum":94453,"residue":283},{"from_index":603,"to_index":1043,"sum":95313,"residue":283},{"from_index":1043,"to_index":163,"sum":92948,"residue":68}],"minimal_cycle":[283,283,68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[163,603],"circle_positions":430,"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":[164,604,1044],"clock_positions":[164,604,1044],"native_values":[243,243,28],"rotation_degrees":44.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,243,28],"beta":{"interval_sums":[94572,95217,93067],"interval_residues":[402,187,187],"display_cycle":[402,187,187],"intervals":[{"from_index":164,"to_index":604,"sum":94572,"residue":402},{"from_index":604,"to_index":1044,"sum":95217,"residue":187},{"from_index":1044,"to_index":164,"sum":93067,"residue":187}],"minimal_cycle":[402,187,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[164,604],"circle_positions":430,"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":[165,605,1045],"clock_positions":[165,605,1045],"native_values":[390,175,175],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,175,175],"beta":{"interval_sums":[94425,95070,93135],"interval_residues":[255,40,255],"display_cycle":[255,40,255],"intervals":[{"from_index":165,"to_index":605,"sum":94425,"residue":255},{"from_index":605,"to_index":1045,"sum":95070,"residue":40},{"from_index":1045,"to_index":165,"sum":93135,"residue":255}],"minimal_cycle":[255,40,255],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[165,605],"circle_positions":430,"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":[166,606,1046],"clock_positions":[166,606,1046],"native_values":[203,418,203],"rotation_degrees":45.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,418,203],"beta":{"interval_sums":[94397,94827,93322],"interval_residues":[227,227,12],"display_cycle":[227,227,12],"intervals":[{"from_index":166,"to_index":606,"sum":94397,"residue":227},{"from_index":606,"to_index":1046,"sum":94827,"residue":227},{"from_index":1046,"to_index":166,"sum":93322,"residue":12}],"minimal_cycle":[227,227,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[166,606],"circle_positions":430,"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":[167,607,1047],"clock_positions":[167,607,1047],"native_values":[163,163,378],"rotation_degrees":45.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,163,378],"beta":{"interval_sums":[94652,94867,93147],"interval_residues":[52,267,267],"display_cycle":[52,267,267],"intervals":[{"from_index":167,"to_index":607,"sum":94652,"residue":52},{"from_index":607,"to_index":1047,"sum":94867,"residue":267},{"from_index":1047,"to_index":167,"sum":93147,"residue":267}],"minimal_cycle":[52,267,267],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[167,607],"circle_positions":430,"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":[168,608,1048],"clock_positions":[168,608,1048],"native_values":[366,151,151],"rotation_degrees":45.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,151,151],"beta":{"interval_sums":[94449,95094,93159],"interval_residues":[279,64,279],"display_cycle":[279,64,279],"intervals":[{"from_index":168,"to_index":608,"sum":94449,"residue":279},{"from_index":608,"to_index":1048,"sum":95094,"residue":64},{"from_index":1048,"to_index":168,"sum":93159,"residue":279}],"minimal_cycle":[279,64,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[168,608],"circle_positions":430,"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":[169,609,1049],"clock_positions":[169,609,1049],"native_values":[99,314,99],"rotation_degrees":46.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,314,99],"beta":{"interval_sums":[94501,94931,93426],"interval_residues":[331,331,116],"display_cycle":[331,331,116],"intervals":[{"from_index":169,"to_index":609,"sum":94501,"residue":331},{"from_index":609,"to_index":1049,"sum":94931,"residue":331},{"from_index":1049,"to_index":169,"sum":93426,"residue":116}],"minimal_cycle":[331,331,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":331,"start_interval_clock_positions":[169,609],"circle_positions":430,"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":[170,610,1050],"clock_positions":[170,610,1050],"native_values":[35,35,250],"rotation_degrees":46.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,35,250],"beta":{"interval_sums":[94780,94995,93275],"interval_residues":[180,395,395],"display_cycle":[180,395,395],"intervals":[{"from_index":170,"to_index":610,"sum":94780,"residue":180},{"from_index":610,"to_index":1050,"sum":94995,"residue":395},{"from_index":1050,"to_index":170,"sum":93275,"residue":395}],"minimal_cycle":[180,395,395],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[170,610],"circle_positions":430,"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":[171,611,1051],"clock_positions":[171,611,1051],"native_values":[134,349,349],"rotation_degrees":46.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,349,349],"beta":{"interval_sums":[94681,94896,92961],"interval_residues":[81,296,81],"display_cycle":[81,296,81],"intervals":[{"from_index":171,"to_index":611,"sum":94681,"residue":81},{"from_index":611,"to_index":1051,"sum":94896,"residue":296},{"from_index":1051,"to_index":171,"sum":92961,"residue":81}],"minimal_cycle":[81,296,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[171,611],"circle_positions":430,"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":[172,612,1052],"clock_positions":[172,612,1052],"native_values":[169,384,169],"rotation_degrees":46.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,384,169],"beta":{"interval_sums":[94861,94861,92926],"interval_residues":[261,261,46],"display_cycle":[261,261,46],"intervals":[{"from_index":172,"to_index":612,"sum":94861,"residue":261},{"from_index":612,"to_index":1052,"sum":94861,"residue":261},{"from_index":1052,"to_index":172,"sum":92926,"residue":46}],"minimal_cycle":[261,261,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[172,612],"circle_positions":430,"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":[173,613,1053],"clock_positions":[173,613,1053],"native_values":[303,303,88],"rotation_degrees":47.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,303,88],"beta":{"interval_sums":[94942,94727,93007],"interval_residues":[342,127,127],"display_cycle":[342,127,127],"intervals":[{"from_index":173,"to_index":613,"sum":94942,"residue":342},{"from_index":613,"to_index":1053,"sum":94727,"residue":127},{"from_index":1053,"to_index":173,"sum":93007,"residue":127}],"minimal_cycle":[342,127,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[173,613],"circle_positions":430,"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":[174,614,1054],"clock_positions":[174,614,1054],"native_values":[42,257,257],"rotation_degrees":47.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,257,257],"beta":{"interval_sums":[95203,94558,93053],"interval_residues":[173,388,173],"display_cycle":[173,388,173],"intervals":[{"from_index":174,"to_index":614,"sum":95203,"residue":173},{"from_index":614,"to_index":1054,"sum":94558,"residue":388},{"from_index":1054,"to_index":174,"sum":93053,"residue":173}],"minimal_cycle":[173,388,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[174,614],"circle_positions":430,"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":[175,615,1055],"clock_positions":[175,615,1055],"native_values":[345,130,345],"rotation_degrees":47.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,130,345],"beta":{"interval_sums":[95115,94685,92750],"interval_residues":[85,85,300],"display_cycle":[85,85,300],"intervals":[{"from_index":175,"to_index":615,"sum":95115,"residue":85},{"from_index":615,"to_index":1055,"sum":94685,"residue":85},{"from_index":1055,"to_index":175,"sum":92750,"residue":300}],"minimal_cycle":[85,85,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[175,615],"circle_positions":430,"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":[176,616,1056],"clock_positions":[176,616,1056],"native_values":[387,387,172],"rotation_degrees":48.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,387,172],"beta":{"interval_sums":[94858,94643,92923],"interval_residues":[258,43,43],"display_cycle":[258,43,43],"intervals":[{"from_index":176,"to_index":616,"sum":94858,"residue":258},{"from_index":616,"to_index":1056,"sum":94643,"residue":43},{"from_index":1056,"to_index":176,"sum":92923,"residue":43}],"minimal_cycle":[258,43,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[176,616],"circle_positions":430,"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":[177,617,1057],"clock_positions":[177,617,1057],"native_values":[302,87,87],"rotation_degrees":48.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,87,87],"beta":{"interval_sums":[94943,94728,93223],"interval_residues":[343,128,343],"display_cycle":[343,128,343],"intervals":[{"from_index":177,"to_index":617,"sum":94943,"residue":343},{"from_index":617,"to_index":1057,"sum":94728,"residue":128},{"from_index":1057,"to_index":177,"sum":93223,"residue":343}],"minimal_cycle":[343,128,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[177,617],"circle_positions":430,"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":[178,618,1058],"clock_positions":[178,618,1058],"native_values":[259,44,259],"rotation_degrees":48.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,44,259],"beta":{"interval_sums":[94771,94771,93266],"interval_residues":[171,171,386],"display_cycle":[171,171,386],"intervals":[{"from_index":178,"to_index":618,"sum":94771,"residue":171},{"from_index":618,"to_index":1058,"sum":94771,"residue":171},{"from_index":1058,"to_index":178,"sum":93266,"residue":386}],"minimal_cycle":[171,171,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[178,618],"circle_positions":430,"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":[179,619,1059],"clock_positions":[179,619,1059],"native_values":[131,131,346],"rotation_degrees":48.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,131,346],"beta":{"interval_sums":[94684,94899,93179],"interval_residues":[84,299,299],"display_cycle":[84,299,299],"intervals":[{"from_index":179,"to_index":619,"sum":94684,"residue":84},{"from_index":619,"to_index":1059,"sum":94899,"residue":299},{"from_index":1059,"to_index":179,"sum":93179,"residue":299}],"minimal_cycle":[84,299,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[179,619],"circle_positions":430,"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":[180,620,1060],"clock_positions":[180,620,1060],"native_values":[390,175,175],"rotation_degrees":49.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,175,175],"beta":{"interval_sums":[94425,95070,93135],"interval_residues":[255,40,255],"display_cycle":[255,40,255],"intervals":[{"from_index":180,"to_index":620,"sum":94425,"residue":255},{"from_index":620,"to_index":1060,"sum":95070,"residue":40},{"from_index":1060,"to_index":180,"sum":93135,"residue":255}],"minimal_cycle":[255,40,255],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[180,620],"circle_positions":430,"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":[181,621,1061],"clock_positions":[181,621,1061],"native_values":[91,306,91],"rotation_degrees":49.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,306,91],"beta":{"interval_sums":[94509,94939,93434],"interval_residues":[339,339,124],"display_cycle":[339,339,124],"intervals":[{"from_index":181,"to_index":621,"sum":94509,"residue":339},{"from_index":621,"to_index":1061,"sum":94939,"residue":339},{"from_index":1061,"to_index":181,"sum":93434,"residue":124}],"minimal_cycle":[339,339,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":339,"start_interval_clock_positions":[181,621],"circle_positions":430,"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":[182,622,1062],"clock_positions":[182,622,1062],"native_values":[51,51,266],"rotation_degrees":49.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,51,266],"beta":{"interval_sums":[94764,94979,93259],"interval_residues":[164,379,379],"display_cycle":[164,379,379],"intervals":[{"from_index":182,"to_index":622,"sum":94764,"residue":164},{"from_index":622,"to_index":1062,"sum":94979,"residue":379},{"from_index":1062,"to_index":182,"sum":93259,"residue":379}],"minimal_cycle":[164,379,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[182,622],"circle_positions":430,"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":[183,623,1063],"clock_positions":[183,623,1063],"native_values":[142,357,357],"rotation_degrees":49.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[142,357,357],"beta":{"interval_sums":[94673,94888,92953],"interval_residues":[73,288,73],"display_cycle":[73,288,73],"intervals":[{"from_index":183,"to_index":623,"sum":94673,"residue":73},{"from_index":623,"to_index":1063,"sum":94888,"residue":288},{"from_index":1063,"to_index":183,"sum":92953,"residue":73}],"minimal_cycle":[73,288,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[183,623],"circle_positions":430,"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":[184,624,1064],"clock_positions":[184,624,1064],"native_values":[193,408,193],"rotation_degrees":50.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,408,193],"beta":{"interval_sums":[94837,94837,92902],"interval_residues":[237,237,22],"display_cycle":[237,237,22],"intervals":[{"from_index":184,"to_index":624,"sum":94837,"residue":237},{"from_index":624,"to_index":1064,"sum":94837,"residue":237},{"from_index":1064,"to_index":184,"sum":92902,"residue":22}],"minimal_cycle":[237,237,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":237,"start_interval_clock_positions":[184,624],"circle_positions":430,"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":[185,625,1065],"clock_positions":[185,625,1065],"native_values":[335,335,120],"rotation_degrees":50.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,335,120],"beta":{"interval_sums":[94910,94695,92975],"interval_residues":[310,95,95],"display_cycle":[310,95,95],"intervals":[{"from_index":185,"to_index":625,"sum":94910,"residue":310},{"from_index":625,"to_index":1065,"sum":94695,"residue":95},{"from_index":1065,"to_index":185,"sum":92975,"residue":95}],"minimal_cycle":[310,95,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[185,625],"circle_positions":430,"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":[186,626,1066],"clock_positions":[186,626,1066],"native_values":[98,313,313],"rotation_degrees":50.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,313,313],"beta":{"interval_sums":[95147,94502,92997],"interval_residues":[117,332,117],"display_cycle":[117,332,117],"intervals":[{"from_index":186,"to_index":626,"sum":95147,"residue":117},{"from_index":626,"to_index":1066,"sum":94502,"residue":332},{"from_index":1066,"to_index":186,"sum":92997,"residue":117}],"minimal_cycle":[117,332,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":117,"start_interval_clock_positions":[186,626],"circle_positions":430,"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":[187,627,1067],"clock_positions":[187,627,1067],"native_values":[3,218,3],"rotation_degrees":51.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,218,3],"beta":{"interval_sums":[95457,94597,93092],"interval_residues":[427,427,212],"display_cycle":[427,427,212],"intervals":[{"from_index":187,"to_index":627,"sum":95457,"residue":427},{"from_index":627,"to_index":1067,"sum":94597,"residue":427},{"from_index":1067,"to_index":187,"sum":93092,"residue":212}],"minimal_cycle":[427,427,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[187,627],"circle_positions":430,"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":[188,628,1068],"clock_positions":[188,628,1068],"native_values":[101,101,316],"rotation_degrees":51.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,101,316],"beta":{"interval_sums":[95574,94499,92779],"interval_residues":[114,329,329],"display_cycle":[114,329,329],"intervals":[{"from_index":188,"to_index":628,"sum":95574,"residue":114},{"from_index":628,"to_index":1068,"sum":94499,"residue":329},{"from_index":1068,"to_index":188,"sum":92779,"residue":329}],"minimal_cycle":[114,329,329],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[188,628],"circle_positions":430,"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":[189,629,1069],"clock_positions":[189,629,1069],"native_values":[104,319,319],"rotation_degrees":51.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,319,319],"beta":{"interval_sums":[95571,94496,92561],"interval_residues":[111,326,111],"display_cycle":[111,326,111],"intervals":[{"from_index":189,"to_index":629,"sum":95571,"residue":111},{"from_index":629,"to_index":1069,"sum":94496,"residue":326},{"from_index":1069,"to_index":189,"sum":92561,"residue":111}],"minimal_cycle":[111,326,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":111,"start_interval_clock_positions":[189,629],"circle_positions":430,"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":[190,630,1070],"clock_positions":[190,630,1070],"native_values":[205,420,205],"rotation_degrees":51.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,420,205],"beta":{"interval_sums":[95685,94395,92460],"interval_residues":[225,225,10],"display_cycle":[225,225,10],"intervals":[{"from_index":190,"to_index":630,"sum":95685,"residue":225},{"from_index":630,"to_index":1070,"sum":94395,"residue":225},{"from_index":1070,"to_index":190,"sum":92460,"residue":10}],"minimal_cycle":[225,225,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[190,630],"circle_positions":430,"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":[191,631,1071],"clock_positions":[191,631,1071],"native_values":[309,309,94],"rotation_degrees":52.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,309,94],"beta":{"interval_sums":[95796,94291,92571],"interval_residues":[336,121,121],"display_cycle":[336,121,121],"intervals":[{"from_index":191,"to_index":631,"sum":95796,"residue":336},{"from_index":631,"to_index":1071,"sum":94291,"residue":121},{"from_index":1071,"to_index":191,"sum":92571,"residue":121}],"minimal_cycle":[336,121,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[191,631],"circle_positions":430,"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":[192,632,1072],"clock_positions":[192,632,1072],"native_values":[84,299,299],"rotation_degrees":52.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[84,299,299],"beta":{"interval_sums":[96021,94086,92581],"interval_residues":[131,346,131],"display_cycle":[131,346,131],"intervals":[{"from_index":192,"to_index":632,"sum":96021,"residue":131},{"from_index":632,"to_index":1072,"sum":94086,"residue":346},{"from_index":1072,"to_index":192,"sum":92581,"residue":131}],"minimal_cycle":[131,346,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[192,632],"circle_positions":430,"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":[193,633,1073],"clock_positions":[193,633,1073],"native_values":[393,178,393],"rotation_degrees":52.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,178,393],"beta":{"interval_sums":[95927,94207,92272],"interval_residues":[37,37,252],"display_cycle":[37,37,252],"intervals":[{"from_index":193,"to_index":633,"sum":95927,"residue":37},{"from_index":633,"to_index":1073,"sum":94207,"residue":37},{"from_index":1073,"to_index":193,"sum":92272,"residue":252}],"minimal_cycle":[37,37,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":37,"start_interval_clock_positions":[193,633],"circle_positions":430,"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":[194,634,1074],"clock_positions":[194,634,1074],"native_values":[47,47,262],"rotation_degrees":52.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,47,262],"beta":{"interval_sums":[96058,94553,92403],"interval_residues":[168,383,383],"display_cycle":[168,383,383],"intervals":[{"from_index":194,"to_index":634,"sum":96058,"residue":168},{"from_index":634,"to_index":1074,"sum":94553,"residue":383},{"from_index":1074,"to_index":194,"sum":92403,"residue":383}],"minimal_cycle":[168,383,383],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[194,634],"circle_positions":430,"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":[195,635,1075],"clock_positions":[195,635,1075],"native_values":[10,225,225],"rotation_degrees":53.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,225,225],"beta":{"interval_sums":[96095,94590,92225],"interval_residues":[205,420,205],"display_cycle":[205,420,205],"intervals":[{"from_index":195,"to_index":635,"sum":96095,"residue":205},{"from_index":635,"to_index":1075,"sum":94590,"residue":420},{"from_index":1075,"to_index":195,"sum":92225,"residue":205}],"minimal_cycle":[205,420,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[195,635],"circle_positions":430,"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":[196,636,1076],"clock_positions":[196,636,1076],"native_values":[57,272,57],"rotation_degrees":53.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,272,57],"beta":{"interval_sums":[96263,94543,92178],"interval_residues":[373,373,158],"display_cycle":[373,373,158],"intervals":[{"from_index":196,"to_index":636,"sum":96263,"residue":373},{"from_index":636,"to_index":1076,"sum":94543,"residue":373},{"from_index":1076,"to_index":196,"sum":92178,"residue":158}],"minimal_cycle":[373,373,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":373,"start_interval_clock_positions":[196,636],"circle_positions":430,"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":[197,637,1077],"clock_positions":[197,637,1077],"native_values":[67,67,282],"rotation_degrees":53.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,67,282],"beta":{"interval_sums":[96468,94533,91953],"interval_residues":[148,363,363],"display_cycle":[148,363,363],"intervals":[{"from_index":197,"to_index":637,"sum":96468,"residue":148},{"from_index":637,"to_index":1077,"sum":94533,"residue":363},{"from_index":1077,"to_index":197,"sum":91953,"residue":363}],"minimal_cycle":[148,363,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[197,637],"circle_positions":430,"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":[198,638,1078],"clock_positions":[198,638,1078],"native_values":[124,339,339],"rotation_degrees":54.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,339,339],"beta":{"interval_sums":[96411,94476,91681],"interval_residues":[91,306,91],"display_cycle":[91,306,91],"intervals":[{"from_index":198,"to_index":638,"sum":96411,"residue":91},{"from_index":638,"to_index":1078,"sum":94476,"residue":306},{"from_index":1078,"to_index":198,"sum":91681,"residue":91}],"minimal_cycle":[91,306,91],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[198,638],"circle_positions":430,"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":[199,639,1079],"clock_positions":[199,639,1079],"native_values":[191,406,191],"rotation_degrees":54.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,406,191],"beta":{"interval_sums":[96559,94409,91614],"interval_residues":[239,239,24],"display_cycle":[239,239,24],"intervals":[{"from_index":199,"to_index":639,"sum":96559,"residue":239},{"from_index":639,"to_index":1079,"sum":94409,"residue":239},{"from_index":1079,"to_index":199,"sum":91614,"residue":24}],"minimal_cycle":[239,239,24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[199,639],"circle_positions":430,"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":[200,640,1080],"clock_positions":[200,640,1080],"native_values":[315,315,100],"rotation_degrees":54.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,315,100],"beta":{"interval_sums":[96650,94285,91705],"interval_residues":[330,115,115],"display_cycle":[330,115,115],"intervals":[{"from_index":200,"to_index":640,"sum":96650,"residue":330},{"from_index":640,"to_index":1080,"sum":94285,"residue":115},{"from_index":1080,"to_index":200,"sum":91705,"residue":115}],"minimal_cycle":[330,115,115],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[200,640],"circle_positions":430,"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":[201,641,1081],"clock_positions":[201,641,1081],"native_values":[76,291,291],"rotation_degrees":54.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,291,291],"beta":{"interval_sums":[96889,94094,91729],"interval_residues":[139,354,139],"display_cycle":[139,354,139],"intervals":[{"from_index":201,"to_index":641,"sum":96889,"residue":139},{"from_index":641,"to_index":1081,"sum":94094,"residue":354},{"from_index":1081,"to_index":201,"sum":91729,"residue":139}],"minimal_cycle":[139,354,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":139,"start_interval_clock_positions":[201,641],"circle_positions":430,"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":[202,642,1082],"clock_positions":[202,642,1082],"native_values":[391,176,391],"rotation_degrees":55.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,176,391],"beta":{"interval_sums":[96789,94209,91414],"interval_residues":[39,39,254],"display_cycle":[39,39,254],"intervals":[{"from_index":202,"to_index":642,"sum":96789,"residue":39},{"from_index":642,"to_index":1082,"sum":94209,"residue":39},{"from_index":1082,"to_index":202,"sum":91414,"residue":254}],"minimal_cycle":[39,39,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[202,642],"circle_positions":430,"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":[203,643,1083],"clock_positions":[203,643,1083],"native_values":[37,37,252],"rotation_degrees":55.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,37,252],"beta":{"interval_sums":[96928,94563,91553],"interval_residues":[178,393,393],"display_cycle":[178,393,393],"intervals":[{"from_index":203,"to_index":643,"sum":96928,"residue":178},{"from_index":643,"to_index":1083,"sum":94563,"residue":393},{"from_index":1083,"to_index":203,"sum":91553,"residue":393}],"minimal_cycle":[178,393,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[203,643],"circle_positions":430,"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":[204,644,1084],"clock_positions":[204,644,1084],"native_values":[428,213,213],"rotation_degrees":55.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,213,213],"beta":{"interval_sums":[96537,94602,91377],"interval_residues":[217,2,217],"display_cycle":[217,2,217],"intervals":[{"from_index":204,"to_index":644,"sum":96537,"residue":217},{"from_index":644,"to_index":1084,"sum":94602,"residue":2},{"from_index":1084,"to_index":204,"sum":91377,"residue":217}],"minimal_cycle":[217,2,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":217,"start_interval_clock_positions":[204,644],"circle_positions":430,"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":[205,645,1085],"clock_positions":[205,645,1085],"native_values":[35,250,35],"rotation_degrees":55.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,250,35],"beta":{"interval_sums":[96715,94565,91770],"interval_residues":[395,395,180],"display_cycle":[395,395,180],"intervals":[{"from_index":205,"to_index":645,"sum":96715,"residue":395},{"from_index":645,"to_index":1085,"sum":94565,"residue":395},{"from_index":1085,"to_index":205,"sum":91770,"residue":180}],"minimal_cycle":[395,395,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[205,645],"circle_positions":430,"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":[206,646,1086],"clock_positions":[206,646,1086],"native_values":[33,33,248],"rotation_degrees":56.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,33,248],"beta":{"interval_sums":[96932,94567,91557],"interval_residues":[182,397,397],"display_cycle":[182,397,397],"intervals":[{"from_index":206,"to_index":646,"sum":96932,"residue":182},{"from_index":646,"to_index":1086,"sum":94567,"residue":397},{"from_index":1086,"to_index":206,"sum":91557,"residue":397}],"minimal_cycle":[182,397,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[206,646],"circle_positions":430,"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":[207,647,1087],"clock_positions":[207,647,1087],"native_values":[68,283,283],"rotation_degrees":56.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,283,283],"beta":{"interval_sums":[96897,94532,91307],"interval_residues":[147,362,147],"display_cycle":[147,362,147],"intervals":[{"from_index":207,"to_index":647,"sum":96897,"residue":147},{"from_index":647,"to_index":1087,"sum":94532,"residue":362},{"from_index":1087,"to_index":207,"sum":91307,"residue":147}],"minimal_cycle":[147,362,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[207,647],"circle_positions":430,"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":[208,648,1088],"clock_positions":[208,648,1088],"native_values":[101,316,101],"rotation_degrees":56.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,316,101],"beta":{"interval_sums":[97079,94499,91274],"interval_residues":[329,329,114],"display_cycle":[329,329,114],"intervals":[{"from_index":208,"to_index":648,"sum":97079,"residue":329},{"from_index":648,"to_index":1088,"sum":94499,"residue":329},{"from_index":1088,"to_index":208,"sum":91274,"residue":114}],"minimal_cycle":[329,329,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":329,"start_interval_clock_positions":[208,648],"circle_positions":430,"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":[209,649,1089],"clock_positions":[209,649,1089],"native_values":[169,169,384],"rotation_degrees":57.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,169,384],"beta":{"interval_sums":[97226,94431,90991],"interval_residues":[46,261,261],"display_cycle":[46,261,261],"intervals":[{"from_index":209,"to_index":649,"sum":97226,"residue":46},{"from_index":649,"to_index":1089,"sum":94431,"residue":261},{"from_index":1089,"to_index":209,"sum":90991,"residue":261}],"minimal_cycle":[46,261,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[209,649],"circle_positions":430,"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":[210,650,1090],"clock_positions":[210,650,1090],"native_values":[270,55,55],"rotation_degrees":57.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,55,55],"beta":{"interval_sums":[97125,94760,91105],"interval_residues":[375,160,375],"display_cycle":[375,160,375],"intervals":[{"from_index":210,"to_index":650,"sum":97125,"residue":375},{"from_index":650,"to_index":1090,"sum":94760,"residue":160},{"from_index":1090,"to_index":210,"sum":91105,"residue":375}],"minimal_cycle":[375,160,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":375,"start_interval_clock_positions":[210,650],"circle_positions":430,"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":[211,651,1091],"clock_positions":[211,651,1091],"native_values":[9,224,9],"rotation_degrees":57.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,224,9],"beta":{"interval_sums":[97171,94591,91366],"interval_residues":[421,421,206],"display_cycle":[421,421,206],"intervals":[{"from_index":211,"to_index":651,"sum":97171,"residue":421},{"from_index":651,"to_index":1091,"sum":94591,"residue":421},{"from_index":1091,"to_index":211,"sum":91366,"residue":206}],"minimal_cycle":[421,421,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[211,651],"circle_positions":430,"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":[212,652,1092],"clock_positions":[212,652,1092],"native_values":[279,279,64],"rotation_degrees":57.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,64],"beta":{"interval_sums":[97116,94321,91311],"interval_residues":[366,151,151],"display_cycle":[366,151,151],"intervals":[{"from_index":212,"to_index":652,"sum":97116,"residue":366},{"from_index":652,"to_index":1092,"sum":94321,"residue":151},{"from_index":1092,"to_index":212,"sum":91311,"residue":151}],"minimal_cycle":[366,151,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[212,652],"circle_positions":430,"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":[213,653,1093],"clock_positions":[213,653,1093],"native_values":[288,73,73],"rotation_degrees":58.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,73,73],"beta":{"interval_sums":[97107,94312,91517],"interval_residues":[357,142,357],"display_cycle":[357,142,357],"intervals":[{"from_index":213,"to_index":653,"sum":97107,"residue":357},{"from_index":653,"to_index":1093,"sum":94312,"residue":142},{"from_index":1093,"to_index":213,"sum":91517,"residue":357}],"minimal_cycle":[357,142,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[213,653],"circle_positions":430,"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":[214,654,1094],"clock_positions":[214,654,1094],"native_values":[137,352,137],"rotation_degrees":58.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,352,137],"beta":{"interval_sums":[97043,94033,91668],"interval_residues":[293,293,78],"display_cycle":[293,293,78],"intervals":[{"from_index":214,"to_index":654,"sum":97043,"residue":293},{"from_index":654,"to_index":1094,"sum":94033,"residue":293},{"from_index":1094,"to_index":214,"sum":91668,"residue":78}],"minimal_cycle":[293,293,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[214,654],"circle_positions":430,"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":[215,655,1095],"clock_positions":[215,655,1095],"native_values":[425,425,210],"rotation_degrees":58.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,425,210],"beta":{"interval_sums":[96970,93745,91595],"interval_residues":[220,5,5],"display_cycle":[220,5,5],"intervals":[{"from_index":215,"to_index":655,"sum":96970,"residue":220},{"from_index":655,"to_index":1095,"sum":93745,"residue":5},{"from_index":1095,"to_index":215,"sum":91595,"residue":5}],"minimal_cycle":[220,5,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[215,655],"circle_positions":430,"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":[216,656,1096],"clock_positions":[216,656,1096],"native_values":[132,347,347],"rotation_degrees":58.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,347,347],"beta":{"interval_sums":[97263,93608,91673],"interval_residues":[83,298,83],"display_cycle":[83,298,83],"intervals":[{"from_index":216,"to_index":656,"sum":97263,"residue":83},{"from_index":656,"to_index":1096,"sum":93608,"residue":298},{"from_index":1096,"to_index":216,"sum":91673,"residue":83}],"minimal_cycle":[83,298,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":83,"start_interval_clock_positions":[216,656],"circle_positions":430,"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":[217,657,1097],"clock_positions":[217,657,1097],"native_values":[127,342,127],"rotation_degrees":59.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,342,127],"beta":{"interval_sums":[97483,93613,91678],"interval_residues":[303,303,88],"display_cycle":[303,303,88],"intervals":[{"from_index":217,"to_index":657,"sum":97483,"residue":303},{"from_index":657,"to_index":1097,"sum":93613,"residue":303},{"from_index":1097,"to_index":217,"sum":91678,"residue":88}],"minimal_cycle":[303,303,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[217,657],"circle_positions":430,"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":[218,658,1098],"clock_positions":[218,658,1098],"native_values":[259,259,44],"rotation_degrees":59.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,259,44],"beta":{"interval_sums":[97566,93481,91761],"interval_residues":[386,171,171],"display_cycle":[386,171,171],"intervals":[{"from_index":218,"to_index":658,"sum":97566,"residue":386},{"from_index":658,"to_index":1098,"sum":93481,"residue":171},{"from_index":1098,"to_index":218,"sum":91761,"residue":171}],"minimal_cycle":[386,171,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[218,658],"circle_positions":430,"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":[219,659,1099],"clock_positions":[219,659,1099],"native_values":[386,171,171],"rotation_degrees":59.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,171,171],"beta":{"interval_sums":[97439,93354,91849],"interval_residues":[259,44,259],"display_cycle":[259,44,259],"intervals":[{"from_index":219,"to_index":659,"sum":97439,"residue":259},{"from_index":659,"to_index":1099,"sum":93354,"residue":44},{"from_index":1099,"to_index":219,"sum":91849,"residue":259}],"minimal_cycle":[259,44,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[219,659],"circle_positions":430,"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":[220,660,1100],"clock_positions":[220,660,1100],"native_values":[215,430,215],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,430,215],"beta":{"interval_sums":[97395,93525,92020],"interval_residues":[215,215,0],"display_cycle":[215,215,430],"intervals":[{"from_index":220,"to_index":660,"sum":97395,"residue":215},{"from_index":660,"to_index":1100,"sum":93525,"residue":215},{"from_index":1100,"to_index":220,"sum":92020,"residue":0}],"minimal_cycle":[215,215,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":215,"start_interval_clock_positions":[220,660],"circle_positions":430,"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":[221,661,1101],"clock_positions":[221,661,1101],"native_values":[171,171,386],"rotation_degrees":60.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,171,386],"beta":{"interval_sums":[97224,93569,91849],"interval_residues":[44,259,259],"display_cycle":[44,259,259],"intervals":[{"from_index":221,"to_index":661,"sum":97224,"residue":44},{"from_index":661,"to_index":1101,"sum":93569,"residue":259},{"from_index":1101,"to_index":221,"sum":91849,"residue":259}],"minimal_cycle":[44,259,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[221,661],"circle_positions":430,"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":[222,662,1102],"clock_positions":[222,662,1102],"native_values":[386,171,171],"rotation_degrees":60.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,171,171],"beta":{"interval_sums":[97009,93784,91849],"interval_residues":[259,44,259],"display_cycle":[259,44,259],"intervals":[{"from_index":222,"to_index":662,"sum":97009,"residue":259},{"from_index":662,"to_index":1102,"sum":93784,"residue":44},{"from_index":1102,"to_index":222,"sum":91849,"residue":259}],"minimal_cycle":[259,44,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[222,662],"circle_positions":430,"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":[223,663,1103],"clock_positions":[223,663,1103],"native_values":[127,342,127],"rotation_degrees":60.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,342,127],"beta":{"interval_sums":[97053,93613,92108],"interval_residues":[303,303,88],"display_cycle":[303,303,88],"intervals":[{"from_index":223,"to_index":663,"sum":97053,"residue":303},{"from_index":663,"to_index":1103,"sum":93613,"residue":303},{"from_index":1103,"to_index":223,"sum":92108,"residue":88}],"minimal_cycle":[303,303,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[223,663],"circle_positions":430,"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":[224,664,1104],"clock_positions":[224,664,1104],"native_values":[83,83,298],"rotation_degrees":61.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,83,298],"beta":{"interval_sums":[97312,93657,91937],"interval_residues":[132,347,347],"display_cycle":[132,347,347],"intervals":[{"from_index":224,"to_index":664,"sum":97312,"residue":132},{"from_index":664,"to_index":1104,"sum":93657,"residue":347},{"from_index":1104,"to_index":224,"sum":91937,"residue":347}],"minimal_cycle":[132,347,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[224,664],"circle_positions":430,"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":[225,665,1105],"clock_positions":[225,665,1105],"native_values":[210,425,425],"rotation_degrees":61.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,425,425],"beta":{"interval_sums":[97185,93530,91595],"interval_residues":[5,220,5],"display_cycle":[5,220,5],"intervals":[{"from_index":225,"to_index":665,"sum":97185,"residue":5},{"from_index":665,"to_index":1105,"sum":93530,"residue":220},{"from_index":1105,"to_index":225,"sum":91595,"residue":5}],"minimal_cycle":[5,220,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[225,665],"circle_positions":430,"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":[226,666,1106],"clock_positions":[226,666,1106],"native_values":[293,78,293],"rotation_degrees":61.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,78,293],"beta":{"interval_sums":[97317,93877,91512],"interval_residues":[137,137,352],"display_cycle":[137,137,352],"intervals":[{"from_index":226,"to_index":666,"sum":97317,"residue":137},{"from_index":666,"to_index":1106,"sum":93877,"residue":137},{"from_index":1106,"to_index":226,"sum":91512,"residue":352}],"minimal_cycle":[137,137,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[226,666],"circle_positions":430,"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":[227,667,1107],"clock_positions":[227,667,1107],"native_values":[73,73,288],"rotation_degrees":61.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,73,288],"beta":{"interval_sums":[97322,94097,91517],"interval_residues":[142,357,357],"display_cycle":[142,357,357],"intervals":[{"from_index":227,"to_index":667,"sum":97322,"residue":142},{"from_index":667,"to_index":1107,"sum":94097,"residue":357},{"from_index":1107,"to_index":227,"sum":91517,"residue":357}],"minimal_cycle":[142,357,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[227,667],"circle_positions":430,"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":[228,668,1108],"clock_positions":[228,668,1108],"native_values":[366,151,151],"rotation_degrees":62.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,151,151],"beta":{"interval_sums":[97029,94234,91439],"interval_residues":[279,64,279],"display_cycle":[279,64,279],"intervals":[{"from_index":228,"to_index":668,"sum":97029,"residue":279},{"from_index":668,"to_index":1108,"sum":94234,"residue":64},{"from_index":1108,"to_index":228,"sum":91439,"residue":279}],"minimal_cycle":[279,64,279],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[228,668],"circle_positions":430,"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":[229,669,1109],"clock_positions":[229,669,1109],"native_values":[9,224,9],"rotation_degrees":62.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,224,9],"beta":{"interval_sums":[97171,94161,91796],"interval_residues":[421,421,206],"display_cycle":[421,421,206],"intervals":[{"from_index":229,"to_index":669,"sum":97171,"residue":421},{"from_index":669,"to_index":1109,"sum":94161,"residue":421},{"from_index":1109,"to_index":229,"sum":91796,"residue":206}],"minimal_cycle":[421,421,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[229,669],"circle_positions":430,"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":[230,670,1110],"clock_positions":[230,670,1110],"native_values":[375,375,160],"rotation_degrees":62.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,375,160],"beta":{"interval_sums":[97020,93795,91645],"interval_residues":[270,55,55],"display_cycle":[270,55,55],"intervals":[{"from_index":230,"to_index":670,"sum":97020,"residue":270},{"from_index":670,"to_index":1110,"sum":93795,"residue":55},{"from_index":1110,"to_index":230,"sum":91645,"residue":55}],"minimal_cycle":[270,55,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[230,670],"circle_positions":430,"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":[231,671,1111],"clock_positions":[231,671,1111],"native_values":[384,169,169],"rotation_degrees":63.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,169,169],"beta":{"interval_sums":[97011,93786,91851],"interval_residues":[261,46,261],"display_cycle":[261,46,261],"intervals":[{"from_index":231,"to_index":671,"sum":97011,"residue":261},{"from_index":671,"to_index":1111,"sum":93786,"residue":46},{"from_index":1111,"to_index":231,"sum":91851,"residue":261}],"minimal_cycle":[261,46,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[231,671],"circle_positions":430,"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":[232,672,1112],"clock_positions":[232,672,1112],"native_values":[329,114,329],"rotation_degrees":63.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,114,329],"beta":{"interval_sums":[96851,93841,91906],"interval_residues":[101,101,316],"display_cycle":[101,101,316],"intervals":[{"from_index":232,"to_index":672,"sum":96851,"residue":101},{"from_index":672,"to_index":1112,"sum":93841,"residue":101},{"from_index":1112,"to_index":232,"sum":91906,"residue":316}],"minimal_cycle":[101,101,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[232,672],"circle_positions":430,"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":[233,673,1113],"clock_positions":[233,673,1113],"native_values":[283,283,68],"rotation_degrees":63.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,283,68],"beta":{"interval_sums":[96682,93887,92167],"interval_residues":[362,147,147],"display_cycle":[362,147,147],"intervals":[{"from_index":233,"to_index":673,"sum":96682,"residue":362},{"from_index":673,"to_index":1113,"sum":93887,"residue":147},{"from_index":1113,"to_index":233,"sum":92167,"residue":147}],"minimal_cycle":[362,147,147],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[233,673],"circle_positions":430,"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":[234,674,1114],"clock_positions":[234,674,1114],"native_values":[182,397,397],"rotation_degrees":63.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,397,397],"beta":{"interval_sums":[96783,93558,92053],"interval_residues":[33,248,33],"display_cycle":[33,248,33],"intervals":[{"from_index":234,"to_index":674,"sum":96783,"residue":33},{"from_index":674,"to_index":1114,"sum":93558,"residue":248},{"from_index":1114,"to_index":234,"sum":92053,"residue":33}],"minimal_cycle":[33,248,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[234,674],"circle_positions":430,"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":[235,675,1115],"clock_positions":[235,675,1115],"native_values":[35,250,35],"rotation_degrees":64.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,250,35],"beta":{"interval_sums":[97145,93705,92200],"interval_residues":[395,395,180],"display_cycle":[395,395,180],"intervals":[{"from_index":235,"to_index":675,"sum":97145,"residue":395},{"from_index":675,"to_index":1115,"sum":93705,"residue":395},{"from_index":1115,"to_index":235,"sum":92200,"residue":180}],"minimal_cycle":[395,395,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[235,675],"circle_positions":430,"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":[236,676,1116],"clock_positions":[236,676,1116],"native_values":[217,217,2],"rotation_degrees":64.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,217,2],"beta":{"interval_sums":[97178,93523,92233],"interval_residues":[428,213,213],"display_cycle":[428,213,213],"intervals":[{"from_index":236,"to_index":676,"sum":97178,"residue":428},{"from_index":676,"to_index":1116,"sum":93523,"residue":213},{"from_index":1116,"to_index":236,"sum":92233,"residue":213}],"minimal_cycle":[428,213,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[236,676],"circle_positions":430,"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":[237,677,1117],"clock_positions":[237,677,1117],"native_values":[252,37,37],"rotation_degrees":64.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,37,37],"beta":{"interval_sums":[97143,93488,92413],"interval_residues":[393,178,393],"display_cycle":[393,178,393],"intervals":[{"from_index":237,"to_index":677,"sum":97143,"residue":393},{"from_index":677,"to_index":1117,"sum":93488,"residue":178},{"from_index":1117,"to_index":237,"sum":92413,"residue":393}],"minimal_cycle":[393,178,393],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[237,677],"circle_positions":430,"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":[238,678,1118],"clock_positions":[238,678,1118],"native_values":[39,254,39],"rotation_degrees":64.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,254,39],"beta":{"interval_sums":[97141,93271,92626],"interval_residues":[391,391,176],"display_cycle":[391,391,176],"intervals":[{"from_index":238,"to_index":678,"sum":97141,"residue":391},{"from_index":678,"to_index":1118,"sum":93271,"residue":391},{"from_index":1118,"to_index":238,"sum":92626,"residue":176}],"minimal_cycle":[391,391,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[238,678],"circle_positions":430,"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":[239,679,1119],"clock_positions":[239,679,1119],"native_values":[291,291,76],"rotation_degrees":65.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,291,76],"beta":{"interval_sums":[97104,93019,92589],"interval_residues":[354,139,139],"display_cycle":[354,139,139],"intervals":[{"from_index":239,"to_index":679,"sum":97104,"residue":354},{"from_index":679,"to_index":1119,"sum":93019,"residue":139},{"from_index":1119,"to_index":239,"sum":92589,"residue":139}],"minimal_cycle":[354,139,139],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[239,679],"circle_positions":430,"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":[240,680,1120],"clock_positions":[240,680,1120],"native_values":[330,115,115],"rotation_degrees":65.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[330,115,115],"beta":{"interval_sums":[97065,92980,92765],"interval_residues":[315,100,315],"display_cycle":[315,100,315],"intervals":[{"from_index":240,"to_index":680,"sum":97065,"residue":315},{"from_index":680,"to_index":1120,"sum":92980,"residue":100},{"from_index":1120,"to_index":240,"sum":92765,"residue":315}],"minimal_cycle":[315,100,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[240,680],"circle_positions":430,"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":[241,681,1121],"clock_positions":[241,681,1121],"native_values":[191,406,191],"rotation_degrees":65.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,406,191],"beta":{"interval_sums":[96989,92689,92904],"interval_residues":[239,239,24],"display_cycle":[239,239,24],"intervals":[{"from_index":241,"to_index":681,"sum":96989,"residue":239},{"from_index":681,"to_index":1121,"sum":92689,"residue":239},{"from_index":1121,"to_index":241,"sum":92904,"residue":24}],"minimal_cycle":[239,239,24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[241,681],"circle_positions":430,"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":[242,682,1122],"clock_positions":[242,682,1122],"native_values":[91,91,306],"rotation_degrees":66.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,91,306],"beta":{"interval_sums":[97304,92789,92789],"interval_residues":[124,339,339],"display_cycle":[124,339,339],"intervals":[{"from_index":242,"to_index":682,"sum":97304,"residue":124},{"from_index":682,"to_index":1122,"sum":92789,"residue":339},{"from_index":1122,"to_index":242,"sum":92789,"residue":339}],"minimal_cycle":[124,339,339],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[242,682],"circle_positions":430,"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":[243,683,1123],"clock_positions":[243,683,1123],"native_values":[282,67,67],"rotation_degrees":66.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[282,67,67],"beta":{"interval_sums":[97113,93028,92813],"interval_residues":[363,148,363],"display_cycle":[363,148,363],"intervals":[{"from_index":243,"to_index":683,"sum":97113,"residue":363},{"from_index":683,"to_index":1123,"sum":93028,"residue":148},{"from_index":1123,"to_index":243,"sum":92813,"residue":363}],"minimal_cycle":[363,148,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[243,683],"circle_positions":430,"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":[244,684,1124],"clock_positions":[244,684,1124],"native_values":[373,158,373],"rotation_degrees":66.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,158,373],"beta":{"interval_sums":[96807,92937,92722],"interval_residues":[57,57,272],"display_cycle":[57,57,272],"intervals":[{"from_index":244,"to_index":684,"sum":96807,"residue":57},{"from_index":684,"to_index":1124,"sum":92937,"residue":57},{"from_index":1124,"to_index":244,"sum":92722,"residue":272}],"minimal_cycle":[57,57,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[244,684],"circle_positions":430,"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":[245,685,1125],"clock_positions":[245,685,1125],"native_values":[225,225,10],"rotation_degrees":66.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,225,10],"beta":{"interval_sums":[96740,93085,93085],"interval_residues":[420,205,205],"display_cycle":[420,205,205],"intervals":[{"from_index":245,"to_index":685,"sum":96740,"residue":420},{"from_index":685,"to_index":1125,"sum":93085,"residue":205},{"from_index":1125,"to_index":245,"sum":93085,"residue":205}],"minimal_cycle":[420,205,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[245,685],"circle_positions":430,"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":[246,686,1126],"clock_positions":[246,686,1126],"native_values":[168,383,383],"rotation_degrees":67.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,383,383],"beta":{"interval_sums":[96797,92712,92927],"interval_residues":[47,262,47],"display_cycle":[47,262,47],"intervals":[{"from_index":246,"to_index":686,"sum":96797,"residue":47},{"from_index":686,"to_index":1126,"sum":92712,"residue":262},{"from_index":1126,"to_index":246,"sum":92927,"residue":47}],"minimal_cycle":[47,262,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[246,686],"circle_positions":430,"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":[247,687,1127],"clock_positions":[247,687,1127],"native_values":[393,178,393],"rotation_degrees":67.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,178,393],"beta":{"interval_sums":[96787,92917,92702],"interval_residues":[37,37,252],"display_cycle":[37,37,252],"intervals":[{"from_index":247,"to_index":687,"sum":96787,"residue":37},{"from_index":687,"to_index":1127,"sum":92917,"residue":37},{"from_index":1127,"to_index":247,"sum":92702,"residue":252}],"minimal_cycle":[37,37,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":37,"start_interval_clock_positions":[247,687],"circle_positions":430,"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":[248,688,1128],"clock_positions":[248,688,1128],"native_values":[131,131,346],"rotation_degrees":67.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,131,346],"beta":{"interval_sums":[96834,93179,92749],"interval_residues":[84,299,299],"display_cycle":[84,299,299],"intervals":[{"from_index":248,"to_index":688,"sum":96834,"residue":84},{"from_index":688,"to_index":1128,"sum":93179,"residue":299},{"from_index":1128,"to_index":248,"sum":92749,"residue":299}],"minimal_cycle":[84,299,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[248,688],"circle_positions":430,"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":[249,689,1129],"clock_positions":[249,689,1129],"native_values":[94,309,309],"rotation_degrees":67.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[94,309,309],"beta":{"interval_sums":[96871,93216,92571],"interval_residues":[121,336,121],"display_cycle":[121,336,121],"intervals":[{"from_index":249,"to_index":689,"sum":96871,"residue":121},{"from_index":689,"to_index":1129,"sum":93216,"residue":336},{"from_index":1129,"to_index":249,"sum":92571,"residue":121}],"minimal_cycle":[121,336,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[249,689],"circle_positions":430,"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":[250,690,1130],"clock_positions":[250,690,1130],"native_values":[225,10,225],"rotation_degrees":68.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,10,225],"beta":{"interval_sums":[96955,93515,92440],"interval_residues":[205,205,420],"display_cycle":[205,205,420],"intervals":[{"from_index":250,"to_index":690,"sum":96955,"residue":205},{"from_index":690,"to_index":1130,"sum":93515,"residue":205},{"from_index":1130,"to_index":250,"sum":92440,"residue":420}],"minimal_cycle":[205,205,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[250,690],"circle_positions":430,"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":[251,691,1131],"clock_positions":[251,691,1131],"native_values":[319,319,104],"rotation_degrees":68.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,319,104],"beta":{"interval_sums":[96646,93421,92561],"interval_residues":[326,111,111],"display_cycle":[326,111,111],"intervals":[{"from_index":251,"to_index":691,"sum":96646,"residue":326},{"from_index":691,"to_index":1131,"sum":93421,"residue":111},{"from_index":1131,"to_index":251,"sum":92561,"residue":111}],"minimal_cycle":[326,111,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[251,691],"circle_positions":430,"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":[252,692,1132],"clock_positions":[252,692,1132],"native_values":[114,329,329],"rotation_degrees":68.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,329,329],"beta":{"interval_sums":[96851,93196,92551],"interval_residues":[101,316,101],"display_cycle":[101,316,101],"intervals":[{"from_index":252,"to_index":692,"sum":96851,"residue":101},{"from_index":692,"to_index":1132,"sum":93196,"residue":316},{"from_index":1132,"to_index":252,"sum":92551,"residue":101}],"minimal_cycle":[101,316,101],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[252,692],"circle_positions":430,"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":[253,693,1133],"clock_positions":[253,693,1133],"native_values":[3,218,3],"rotation_degrees":69.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,218,3],"beta":{"interval_sums":[97177,93307,92662],"interval_residues":[427,427,212],"display_cycle":[427,427,212],"intervals":[{"from_index":253,"to_index":693,"sum":97177,"residue":427},{"from_index":693,"to_index":1133,"sum":93307,"residue":427},{"from_index":1133,"to_index":253,"sum":92662,"residue":212}],"minimal_cycle":[427,427,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[253,693],"circle_positions":430,"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":[254,694,1134],"clock_positions":[254,694,1134],"native_values":[117,117,332],"rotation_degrees":69.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,117,332],"beta":{"interval_sums":[97278,93193,92333],"interval_residues":[98,313,313],"display_cycle":[98,313,313],"intervals":[{"from_index":254,"to_index":694,"sum":97278,"residue":98},{"from_index":694,"to_index":1134,"sum":93193,"residue":313},{"from_index":1134,"to_index":254,"sum":92333,"residue":313}],"minimal_cycle":[98,313,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[254,694],"circle_positions":430,"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":[255,695,1135],"clock_positions":[255,695,1135],"native_values":[120,335,335],"rotation_degrees":69.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,335,335],"beta":{"interval_sums":[97275,93190,92115],"interval_residues":[95,310,95],"display_cycle":[95,310,95],"intervals":[{"from_index":255,"to_index":695,"sum":97275,"residue":95},{"from_index":695,"to_index":1135,"sum":93190,"residue":310},{"from_index":1135,"to_index":255,"sum":92115,"residue":95}],"minimal_cycle":[95,310,95],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[255,695],"circle_positions":430,"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":[256,696,1136],"clock_positions":[256,696,1136],"native_values":[237,22,237],"rotation_degrees":69.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,22,237],"beta":{"interval_sums":[97373,93503,91998],"interval_residues":[193,193,408],"display_cycle":[193,193,408],"intervals":[{"from_index":256,"to_index":696,"sum":97373,"residue":193},{"from_index":696,"to_index":1136,"sum":93503,"residue":193},{"from_index":1136,"to_index":256,"sum":91998,"residue":408}],"minimal_cycle":[193,193,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[256,696],"circle_positions":430,"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":[257,697,1137],"clock_positions":[257,697,1137],"native_values":[357,357,142],"rotation_degrees":70.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,357,142],"beta":{"interval_sums":[97038,93383,92093],"interval_residues":[288,73,73],"display_cycle":[288,73,73],"intervals":[{"from_index":257,"to_index":697,"sum":97038,"residue":288},{"from_index":697,"to_index":1137,"sum":93383,"residue":73},{"from_index":1137,"to_index":257,"sum":92093,"residue":73}],"minimal_cycle":[288,73,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[257,697],"circle_positions":430,"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":[258,698,1138],"clock_positions":[258,698,1138],"native_values":[164,379,379],"rotation_degrees":70.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,379,379],"beta":{"interval_sums":[97231,93146,92071],"interval_residues":[51,266,51],"display_cycle":[51,266,51],"intervals":[{"from_index":258,"to_index":698,"sum":97231,"residue":51},{"from_index":698,"to_index":1138,"sum":93146,"residue":266},{"from_index":1138,"to_index":258,"sum":92071,"residue":51}],"minimal_cycle":[51,266,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":51,"start_interval_clock_positions":[258,698],"circle_positions":430,"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":[259,699,1139],"clock_positions":[259,699,1139],"native_values":[91,306,91],"rotation_degrees":70.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,306,91],"beta":{"interval_sums":[97519,93219,92144],"interval_residues":[339,339,124],"display_cycle":[339,339,124],"intervals":[{"from_index":259,"to_index":699,"sum":97519,"residue":339},{"from_index":699,"to_index":1139,"sum":93219,"residue":339},{"from_index":1139,"to_index":259,"sum":92144,"residue":124}],"minimal_cycle":[339,339,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":339,"start_interval_clock_positions":[259,699],"circle_positions":430,"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":[260,700,1140],"clock_positions":[260,700,1140],"native_values":[255,255,40],"rotation_degrees":70.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,255,40],"beta":{"interval_sums":[97570,93055,92195],"interval_residues":[390,175,175],"display_cycle":[390,175,175],"intervals":[{"from_index":260,"to_index":700,"sum":97570,"residue":390},{"from_index":700,"to_index":1140,"sum":93055,"residue":175},{"from_index":1140,"to_index":260,"sum":92195,"residue":175}],"minimal_cycle":[390,175,175],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[260,700],"circle_positions":430,"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":[261,701,1141],"clock_positions":[261,701,1141],"native_values":[346,131,131],"rotation_degrees":71.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,131,131],"beta":{"interval_sums":[97479,92964,92319],"interval_residues":[299,84,299],"display_cycle":[299,84,299],"intervals":[{"from_index":261,"to_index":701,"sum":97479,"residue":299},{"from_index":701,"to_index":1141,"sum":92964,"residue":84},{"from_index":1141,"to_index":261,"sum":92319,"residue":299}],"minimal_cycle":[299,84,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[261,701],"circle_positions":430,"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":[262,702,1142],"clock_positions":[262,702,1142],"native_values":[171,386,171],"rotation_degrees":71.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,386,171],"beta":{"interval_sums":[97439,92709,92494],"interval_residues":[259,259,44],"display_cycle":[259,259,44],"intervals":[{"from_index":262,"to_index":702,"sum":97439,"residue":259},{"from_index":702,"to_index":1142,"sum":92709,"residue":259},{"from_index":1142,"to_index":262,"sum":92494,"residue":44}],"minimal_cycle":[259,259,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[262,702],"circle_positions":430,"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":[263,703,1143],"clock_positions":[263,703,1143],"native_values":[87,87,302],"rotation_degrees":71.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,87,302],"beta":{"interval_sums":[97738,92793,92363],"interval_residues":[128,343,343],"display_cycle":[128,343,343],"intervals":[{"from_index":263,"to_index":703,"sum":97738,"residue":128},{"from_index":703,"to_index":1143,"sum":92793,"residue":343},{"from_index":1143,"to_index":263,"sum":92363,"residue":343}],"minimal_cycle":[128,343,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[263,703],"circle_positions":430,"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":[264,704,1144],"clock_positions":[264,704,1144],"native_values":[258,43,43],"rotation_degrees":72.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,43,43],"beta":{"interval_sums":[97567,93052,92407],"interval_residues":[387,172,387],"display_cycle":[387,172,387],"intervals":[{"from_index":264,"to_index":704,"sum":97567,"residue":387},{"from_index":704,"to_index":1144,"sum":93052,"residue":172},{"from_index":1144,"to_index":264,"sum":92407,"residue":387}],"minimal_cycle":[387,172,387],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[264,704],"circle_positions":430,"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":[265,705,1145],"clock_positions":[265,705,1145],"native_values":[345,130,345],"rotation_degrees":72.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,130,345],"beta":{"interval_sums":[97265,92965,92320],"interval_residues":[85,85,300],"display_cycle":[85,85,300],"intervals":[{"from_index":265,"to_index":705,"sum":97265,"residue":85},{"from_index":705,"to_index":1145,"sum":92965,"residue":85},{"from_index":1145,"to_index":265,"sum":92320,"residue":300}],"minimal_cycle":[85,85,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[265,705],"circle_positions":430,"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":[266,706,1146],"clock_positions":[266,706,1146],"native_values":[173,173,388],"rotation_degrees":72.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,173,388],"beta":{"interval_sums":[97222,93137,92277],"interval_residues":[42,257,257],"display_cycle":[42,257,257],"intervals":[{"from_index":266,"to_index":706,"sum":97222,"residue":42},{"from_index":706,"to_index":1146,"sum":93137,"residue":257},{"from_index":1146,"to_index":266,"sum":92277,"residue":257}],"minimal_cycle":[42,257,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[266,706],"circle_positions":430,"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":[267,707,1147],"clock_positions":[267,707,1147],"native_values":[88,303,303],"rotation_degrees":72.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,303,303],"beta":{"interval_sums":[97307,93222,92147],"interval_residues":[127,342,127],"display_cycle":[127,342,127],"intervals":[{"from_index":267,"to_index":707,"sum":97307,"residue":127},{"from_index":707,"to_index":1147,"sum":93222,"residue":342},{"from_index":1147,"to_index":267,"sum":92147,"residue":127}],"minimal_cycle":[127,342,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[267,707],"circle_positions":430,"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":[268,708,1148],"clock_positions":[268,708,1148],"native_values":[261,46,261],"rotation_degrees":73.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,46,261],"beta":{"interval_sums":[97349,93479,91974],"interval_residues":[169,169,384],"display_cycle":[169,169,384],"intervals":[{"from_index":268,"to_index":708,"sum":97349,"residue":169},{"from_index":708,"to_index":1148,"sum":93479,"residue":169},{"from_index":1148,"to_index":268,"sum":91974,"residue":384}],"minimal_cycle":[169,169,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[268,708],"circle_positions":430,"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":[269,709,1149],"clock_positions":[269,709,1149],"native_values":[349,349,134],"rotation_degrees":73.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,349,134],"beta":{"interval_sums":[97046,93391,92101],"interval_residues":[296,81,81],"display_cycle":[296,81,81],"intervals":[{"from_index":269,"to_index":709,"sum":97046,"residue":296},{"from_index":709,"to_index":1149,"sum":93391,"residue":81},{"from_index":1149,"to_index":269,"sum":92101,"residue":81}],"minimal_cycle":[296,81,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[269,709],"circle_positions":430,"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":[270,710,1150],"clock_positions":[270,710,1150],"native_values":[180,395,395],"rotation_degrees":73.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,395,395],"beta":{"interval_sums":[97215,93130,92055],"interval_residues":[35,250,35],"display_cycle":[35,250,35],"intervals":[{"from_index":270,"to_index":710,"sum":97215,"residue":35},{"from_index":710,"to_index":1150,"sum":93130,"residue":250},{"from_index":1150,"to_index":270,"sum":92055,"residue":35}],"minimal_cycle":[35,250,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[270,710],"circle_positions":430,"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":[271,711,1151],"clock_positions":[271,711,1151],"native_values":[99,314,99],"rotation_degrees":73.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,314,99],"beta":{"interval_sums":[97511,93211,92136],"interval_residues":[331,331,116],"display_cycle":[331,331,116],"intervals":[{"from_index":271,"to_index":711,"sum":97511,"residue":331},{"from_index":711,"to_index":1151,"sum":93211,"residue":331},{"from_index":1151,"to_index":271,"sum":92136,"residue":116}],"minimal_cycle":[331,331,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":331,"start_interval_clock_positions":[271,711],"circle_positions":430,"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":[272,712,1152],"clock_positions":[272,712,1152],"native_values":[279,279,64],"rotation_degrees":74.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,64],"beta":{"interval_sums":[97546,93031,92171],"interval_residues":[366,151,151],"display_cycle":[366,151,151],"intervals":[{"from_index":272,"to_index":712,"sum":97546,"residue":366},{"from_index":712,"to_index":1152,"sum":93031,"residue":151},{"from_index":1152,"to_index":272,"sum":92171,"residue":151}],"minimal_cycle":[366,151,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[272,712],"circle_positions":430,"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":[273,713,1153],"clock_positions":[273,713,1153],"native_values":[378,163,163],"rotation_degrees":74.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,163,163],"beta":{"interval_sums":[97447,92932,92287],"interval_residues":[267,52,267],"display_cycle":[267,52,267],"intervals":[{"from_index":273,"to_index":713,"sum":97447,"residue":267},{"from_index":713,"to_index":1153,"sum":92932,"residue":52},{"from_index":1153,"to_index":273,"sum":92287,"residue":267}],"minimal_cycle":[267,52,267],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":267,"start_interval_clock_positions":[273,713],"circle_positions":430,"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":[274,714,1154],"clock_positions":[274,714,1154],"native_values":[227,12,227],"rotation_degrees":74.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,12,227],"beta":{"interval_sums":[97383,93083,92438],"interval_residues":[203,203,418],"display_cycle":[203,203,418],"intervals":[{"from_index":274,"to_index":714,"sum":97383,"residue":203},{"from_index":714,"to_index":1154,"sum":93083,"residue":203},{"from_index":1154,"to_index":274,"sum":92438,"residue":418}],"minimal_cycle":[203,203,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[274,714],"circle_positions":430,"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":[275,715,1155],"clock_positions":[275,715,1155],"native_values":[175,175,390],"rotation_degrees":75.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,175,390],"beta":{"interval_sums":[97220,93135,92275],"interval_residues":[40,255,255],"display_cycle":[40,255,255],"intervals":[{"from_index":275,"to_index":715,"sum":97220,"residue":40},{"from_index":715,"to_index":1155,"sum":93135,"residue":255},{"from_index":1155,"to_index":275,"sum":92275,"residue":255}],"minimal_cycle":[40,255,255],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[275,715],"circle_positions":430,"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":[276,716,1156],"clock_positions":[276,716,1156],"native_values":[402,187,187],"rotation_degrees":75.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,187,187],"beta":{"interval_sums":[96993,93338,92263],"interval_residues":[243,28,243],"display_cycle":[243,28,243],"intervals":[{"from_index":276,"to_index":716,"sum":96993,"residue":243},{"from_index":716,"to_index":1156,"sum":93338,"residue":28},{"from_index":1156,"to_index":276,"sum":92263,"residue":243}],"minimal_cycle":[243,28,243],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":243,"start_interval_clock_positions":[276,716],"circle_positions":430,"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":[277,717,1157],"clock_positions":[277,717,1157],"native_values":[147,362,147],"rotation_degrees":75.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,362,147],"beta":{"interval_sums":[97033,93163,92518],"interval_residues":[283,283,68],"display_cycle":[283,283,68],"intervals":[{"from_index":277,"to_index":717,"sum":97033,"residue":283},{"from_index":717,"to_index":1157,"sum":93163,"residue":283},{"from_index":1157,"to_index":277,"sum":92518,"residue":68}],"minimal_cycle":[283,283,68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[277,717],"circle_positions":430,"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":[278,718,1158],"clock_positions":[278,718,1158],"native_values":[119,119,334],"rotation_degrees":75.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,334],"beta":{"interval_sums":[97276,93191,92331],"interval_residues":[96,311,311],"display_cycle":[96,311,311],"intervals":[{"from_index":278,"to_index":718,"sum":97276,"residue":96},{"from_index":718,"to_index":1158,"sum":93191,"residue":311},{"from_index":1158,"to_index":278,"sum":92331,"residue":311}],"minimal_cycle":[96,311,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[278,718],"circle_positions":430,"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":[279,719,1159],"clock_positions":[279,719,1159],"native_values":[266,51,51],"rotation_degrees":76.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[266,51,51],"beta":{"interval_sums":[97129,93474,92399],"interval_residues":[379,164,379],"display_cycle":[379,164,379],"intervals":[{"from_index":279,"to_index":719,"sum":97129,"residue":379},{"from_index":719,"to_index":1159,"sum":93474,"residue":164},{"from_index":1159,"to_index":279,"sum":92399,"residue":379}],"minimal_cycle":[379,164,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":379,"start_interval_clock_positions":[279,719],"circle_positions":430,"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":[280,720,1160],"clock_positions":[280,720,1160],"native_values":[385,170,385],"rotation_degrees":76.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,170,385],"beta":{"interval_sums":[96795,93355,92280],"interval_residues":[45,45,260],"display_cycle":[45,45,260],"intervals":[{"from_index":280,"to_index":720,"sum":96795,"residue":45},{"from_index":720,"to_index":1160,"sum":93355,"residue":45},{"from_index":1160,"to_index":280,"sum":92280,"residue":260}],"minimal_cycle":[45,45,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":45,"start_interval_clock_positions":[280,720],"circle_positions":430,"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":[281,721,1161],"clock_positions":[281,721,1161],"native_values":[221,221,6],"rotation_degrees":76.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,6],"beta":{"interval_sums":[96744,93519,92659],"interval_residues":[424,209,209],"display_cycle":[424,209,209],"intervals":[{"from_index":281,"to_index":721,"sum":96744,"residue":424},{"from_index":721,"to_index":1161,"sum":93519,"residue":209},{"from_index":1161,"to_index":281,"sum":92659,"residue":209}],"minimal_cycle":[424,209,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[281,721],"circle_positions":430,"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":[282,722,1162],"clock_positions":[282,722,1162],"native_values":[176,391,391],"rotation_degrees":76.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,391,391],"beta":{"interval_sums":[96789,93134,92489],"interval_residues":[39,254,39],"display_cycle":[39,254,39],"intervals":[{"from_index":282,"to_index":722,"sum":96789,"residue":39},{"from_index":722,"to_index":1162,"sum":93134,"residue":254},{"from_index":1162,"to_index":282,"sum":92489,"residue":39}],"minimal_cycle":[39,254,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[282,722],"circle_positions":430,"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":[283,723,1163],"clock_positions":[283,723,1163],"native_values":[397,182,397],"rotation_degrees":77.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,182,397],"beta":{"interval_sums":[96783,93343,92268],"interval_residues":[33,33,248],"display_cycle":[33,33,248],"intervals":[{"from_index":283,"to_index":723,"sum":96783,"residue":33},{"from_index":723,"to_index":1163,"sum":93343,"residue":33},{"from_index":1163,"to_index":283,"sum":92268,"residue":248}],"minimal_cycle":[33,33,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[283,723],"circle_positions":430,"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":[284,724,1164],"clock_positions":[284,724,1164],"native_values":[143,143,358],"rotation_degrees":77.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,143,358],"beta":{"interval_sums":[96822,93597,92307],"interval_residues":[72,287,287],"display_cycle":[72,287,287],"intervals":[{"from_index":284,"to_index":724,"sum":96822,"residue":72},{"from_index":724,"to_index":1164,"sum":93597,"residue":287},{"from_index":1164,"to_index":284,"sum":92307,"residue":287}],"minimal_cycle":[72,287,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[284,724],"circle_positions":430,"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":[285,725,1165],"clock_positions":[285,725,1165],"native_values":[110,325,325],"rotation_degrees":77.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,325,325],"beta":{"interval_sums":[96855,93630,92125],"interval_residues":[105,320,105],"display_cycle":[105,320,105],"intervals":[{"from_index":285,"to_index":725,"sum":96855,"residue":105},{"from_index":725,"to_index":1165,"sum":93630,"residue":320},{"from_index":1165,"to_index":285,"sum":92125,"residue":105}],"minimal_cycle":[105,320,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[285,725],"circle_positions":430,"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":[286,726,1166],"clock_positions":[286,726,1166],"native_values":[253,38,253],"rotation_degrees":78.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,38,253],"beta":{"interval_sums":[96927,93917,91982],"interval_residues":[177,177,392],"display_cycle":[177,177,392],"intervals":[{"from_index":286,"to_index":726,"sum":96927,"residue":177},{"from_index":726,"to_index":1166,"sum":93917,"residue":177},{"from_index":1166,"to_index":286,"sum":91982,"residue":392}],"minimal_cycle":[177,177,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[286,726],"circle_positions":430,"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":[287,727,1167],"clock_positions":[287,727,1167],"native_values":[363,363,148],"rotation_degrees":78.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[363,363,148],"beta":{"interval_sums":[96602,93807,92087],"interval_residues":[282,67,67],"display_cycle":[282,67,67],"intervals":[{"from_index":287,"to_index":727,"sum":96602,"residue":282},{"from_index":727,"to_index":1167,"sum":93807,"residue":67},{"from_index":1167,"to_index":287,"sum":92087,"residue":67}],"minimal_cycle":[282,67,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[287,727],"circle_positions":430,"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":[288,728,1168],"clock_positions":[288,728,1168],"native_values":[186,401,401],"rotation_degrees":78.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[186,401,401],"beta":{"interval_sums":[96779,93554,92049],"interval_residues":[29,244,29],"display_cycle":[29,244,29],"intervals":[{"from_index":288,"to_index":728,"sum":96779,"residue":29},{"from_index":728,"to_index":1168,"sum":93554,"residue":244},{"from_index":1168,"to_index":288,"sum":92049,"residue":29}],"minimal_cycle":[29,244,29],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":29,"start_interval_clock_positions":[288,728],"circle_positions":430,"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":[289,729,1169],"clock_positions":[289,729,1169],"native_values":[119,334,119],"rotation_degrees":78.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,334,119],"beta":{"interval_sums":[97061,93621,92116],"interval_residues":[311,311,96],"display_cycle":[311,311,96],"intervals":[{"from_index":289,"to_index":729,"sum":97061,"residue":311},{"from_index":729,"to_index":1169,"sum":93621,"residue":311},{"from_index":1169,"to_index":289,"sum":92116,"residue":96}],"minimal_cycle":[311,311,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[289,729],"circle_positions":430,"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":[290,730,1170],"clock_positions":[290,730,1170],"native_values":[305,305,90],"rotation_degrees":79.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,305,90],"beta":{"interval_sums":[97090,93435,92145],"interval_residues":[340,125,125],"display_cycle":[340,125,125],"intervals":[{"from_index":290,"to_index":730,"sum":97090,"residue":340},{"from_index":730,"to_index":1170,"sum":93435,"residue":125},{"from_index":1170,"to_index":290,"sum":92145,"residue":125}],"minimal_cycle":[340,125,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[290,730],"circle_positions":430,"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":[291,731,1171],"clock_positions":[291,731,1171],"native_values":[424,209,209],"rotation_degrees":79.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,209,209],"beta":{"interval_sums":[96971,93316,92241],"interval_residues":[221,6,221],"display_cycle":[221,6,221],"intervals":[{"from_index":291,"to_index":731,"sum":96971,"residue":221},{"from_index":731,"to_index":1171,"sum":93316,"residue":6},{"from_index":1171,"to_index":291,"sum":92241,"residue":221}],"minimal_cycle":[221,6,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[291,731],"circle_positions":430,"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":[292,732,1172],"clock_positions":[292,732,1172],"native_values":[299,84,299],"rotation_degrees":79.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,84,299],"beta":{"interval_sums":[96881,93441,92366],"interval_residues":[131,131,346],"display_cycle":[131,131,346],"intervals":[{"from_index":292,"to_index":732,"sum":96881,"residue":131},{"from_index":732,"to_index":1172,"sum":93441,"residue":131},{"from_index":1172,"to_index":292,"sum":92366,"residue":346}],"minimal_cycle":[131,131,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[292,732],"circle_positions":430,"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":[293,733,1173],"clock_positions":[293,733,1173],"native_values":[293,293,78],"rotation_degrees":79.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,293,78],"beta":{"interval_sums":[96672,93447,92587],"interval_residues":[352,137,137],"display_cycle":[352,137,137],"intervals":[{"from_index":293,"to_index":733,"sum":96672,"residue":352},{"from_index":733,"to_index":1173,"sum":93447,"residue":137},{"from_index":1173,"to_index":293,"sum":92587,"residue":137}],"minimal_cycle":[352,137,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[293,733],"circle_positions":430,"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":[294,734,1174],"clock_positions":[294,734,1174],"native_values":[162,377,377],"rotation_degrees":80.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,377,377],"beta":{"interval_sums":[96803,93148,92503],"interval_residues":[53,268,53],"display_cycle":[53,268,53],"intervals":[{"from_index":294,"to_index":734,"sum":96803,"residue":53},{"from_index":734,"to_index":1174,"sum":93148,"residue":268},{"from_index":1174,"to_index":294,"sum":92503,"residue":53}],"minimal_cycle":[53,268,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[294,734],"circle_positions":430,"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":[295,735,1175],"clock_positions":[295,735,1175],"native_values":[25,240,25],"rotation_degrees":80.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,240,25],"beta":{"interval_sums":[97155,93285,92640],"interval_residues":[405,405,190],"display_cycle":[405,405,190],"intervals":[{"from_index":295,"to_index":735,"sum":97155,"residue":405},{"from_index":735,"to_index":1175,"sum":93285,"residue":405},{"from_index":1175,"to_index":295,"sum":92640,"residue":190}],"minimal_cycle":[405,405,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[295,735],"circle_positions":430,"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":[296,736,1176],"clock_positions":[296,736,1176],"native_values":[187,187,402],"rotation_degrees":80.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,187,402],"beta":{"interval_sums":[97208,93123,92263],"interval_residues":[28,243,243],"display_cycle":[28,243,243],"intervals":[{"from_index":296,"to_index":736,"sum":97208,"residue":28},{"from_index":736,"to_index":1176,"sum":93123,"residue":243},{"from_index":1176,"to_index":296,"sum":92263,"residue":243}],"minimal_cycle":[28,243,243],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[296,736],"circle_positions":430,"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":[297,737,1177],"clock_positions":[297,737,1177],"native_values":[212,427,427],"rotation_degrees":81.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[212,427,427],"beta":{"interval_sums":[97183,93098,92023],"interval_residues":[3,218,3],"display_cycle":[3,218,3],"intervals":[{"from_index":297,"to_index":737,"sum":97183,"residue":3},{"from_index":737,"to_index":1177,"sum":93098,"residue":218},{"from_index":1177,"to_index":297,"sum":92023,"residue":3}],"minimal_cycle":[3,218,3],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[297,737],"circle_positions":430,"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":[298,738,1178],"clock_positions":[298,738,1178],"native_values":[399,184,399],"rotation_degrees":81.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,184,399],"beta":{"interval_sums":[97211,93341,91836],"interval_residues":[31,31,246],"display_cycle":[31,31,246],"intervals":[{"from_index":298,"to_index":738,"sum":97211,"residue":31},{"from_index":738,"to_index":1178,"sum":93341,"residue":31},{"from_index":1178,"to_index":298,"sum":91836,"residue":246}],"minimal_cycle":[31,31,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[298,738],"circle_positions":430,"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":[299,739,1179],"clock_positions":[299,739,1179],"native_values":[181,181,396],"rotation_degrees":81.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,181,396],"beta":{"interval_sums":[97214,93559,91839],"interval_residues":[34,249,249],"display_cycle":[34,249,249],"intervals":[{"from_index":299,"to_index":739,"sum":97214,"residue":34},{"from_index":739,"to_index":1179,"sum":93559,"residue":249},{"from_index":1179,"to_index":299,"sum":91839,"residue":249}],"minimal_cycle":[34,249,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[299,739],"circle_positions":430,"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":[300,740,1180],"clock_positions":[300,740,1180],"native_values":[150,365,365],"rotation_degrees":81.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,365,365],"beta":{"interval_sums":[97245,93590,91655],"interval_residues":[65,280,65],"display_cycle":[65,280,65],"intervals":[{"from_index":300,"to_index":740,"sum":97245,"residue":65},{"from_index":740,"to_index":1180,"sum":93590,"residue":280},{"from_index":1180,"to_index":300,"sum":91655,"residue":65}],"minimal_cycle":[65,280,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[300,740],"circle_positions":430,"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":[301,741,1181],"clock_positions":[301,741,1181],"native_values":[331,116,331],"rotation_degrees":82.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,116,331],"beta":{"interval_sums":[97279,93839,91474],"interval_residues":[99,99,314],"display_cycle":[99,99,314],"intervals":[{"from_index":301,"to_index":741,"sum":97279,"residue":99},{"from_index":741,"to_index":1181,"sum":93839,"residue":99},{"from_index":1181,"to_index":301,"sum":91474,"residue":314}],"minimal_cycle":[99,99,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[301,741],"circle_positions":430,"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":[302,742,1182],"clock_positions":[302,742,1182],"native_values":[51,51,266],"rotation_degrees":82.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,51,266],"beta":{"interval_sums":[97344,94119,91539],"interval_residues":[164,379,379],"display_cycle":[164,379,379],"intervals":[{"from_index":302,"to_index":742,"sum":97344,"residue":164},{"from_index":742,"to_index":1182,"sum":94119,"residue":379},{"from_index":1182,"to_index":302,"sum":91539,"residue":379}],"minimal_cycle":[164,379,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[302,742],"circle_positions":430,"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":[303,743,1183],"clock_positions":[303,743,1183],"native_values":[382,167,167],"rotation_degrees":82.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,167,167],"beta":{"interval_sums":[97013,94218,91423],"interval_residues":[263,48,263],"display_cycle":[263,48,263],"intervals":[{"from_index":303,"to_index":743,"sum":97013,"residue":263},{"from_index":743,"to_index":1183,"sum":94218,"residue":48},{"from_index":1183,"to_index":303,"sum":91423,"residue":263}],"minimal_cycle":[263,48,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[303,743],"circle_positions":430,"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":[304,744,1184],"clock_positions":[304,744,1184],"native_values":[3,218,3],"rotation_degrees":82.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,218,3],"beta":{"interval_sums":[97177,94167,91802],"interval_residues":[427,427,212],"display_cycle":[427,427,212],"intervals":[{"from_index":304,"to_index":744,"sum":97177,"residue":427},{"from_index":744,"to_index":1184,"sum":94167,"residue":427},{"from_index":1184,"to_index":304,"sum":91802,"residue":212}],"minimal_cycle":[427,427,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[304,744],"circle_positions":430,"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":[305,745,1185],"clock_positions":[305,745,1185],"native_values":[385,385,170],"rotation_degrees":83.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,385,170],"beta":{"interval_sums":[97010,93785,91635],"interval_residues":[260,45,45],"display_cycle":[260,45,45],"intervals":[{"from_index":305,"to_index":745,"sum":97010,"residue":260},{"from_index":745,"to_index":1185,"sum":93785,"residue":45},{"from_index":1185,"to_index":305,"sum":91635,"residue":45}],"minimal_cycle":[260,45,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[305,745],"circle_positions":430,"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":[306,746,1186],"clock_positions":[306,746,1186],"native_values":[388,173,173],"rotation_degrees":83.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,173,173],"beta":{"interval_sums":[97007,93782,91847],"interval_residues":[257,42,257],"display_cycle":[257,42,257],"intervals":[{"from_index":306,"to_index":746,"sum":97007,"residue":257},{"from_index":746,"to_index":1186,"sum":93782,"residue":42},{"from_index":1186,"to_index":306,"sum":91847,"residue":257}],"minimal_cycle":[257,42,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[306,746],"circle_positions":430,"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":[307,747,1187],"clock_positions":[307,747,1187],"native_values":[343,128,343],"rotation_degrees":83.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,128,343],"beta":{"interval_sums":[96837,93827,91892],"interval_residues":[87,87,302],"display_cycle":[87,87,302],"intervals":[{"from_index":307,"to_index":747,"sum":96837,"residue":87},{"from_index":747,"to_index":1187,"sum":93827,"residue":87},{"from_index":1187,"to_index":307,"sum":91892,"residue":302}],"minimal_cycle":[87,87,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[307,747],"circle_positions":430,"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":[308,748,1188],"clock_positions":[308,748,1188],"native_values":[301,301,86],"rotation_degrees":84.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,301,86],"beta":{"interval_sums":[96664,93869,92149],"interval_residues":[344,129,129],"display_cycle":[344,129,129],"intervals":[{"from_index":308,"to_index":748,"sum":96664,"residue":344},{"from_index":748,"to_index":1188,"sum":93869,"residue":129},{"from_index":1188,"to_index":308,"sum":92149,"residue":129}],"minimal_cycle":[344,129,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[308,748],"circle_positions":430,"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":[309,749,1189],"clock_positions":[309,749,1189],"native_values":[214,429,429],"rotation_degrees":84.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,429,429],"beta":{"interval_sums":[96751,93526,92021],"interval_residues":[1,216,1],"display_cycle":[1,216,1],"intervals":[{"from_index":309,"to_index":749,"sum":96751,"residue":1},{"from_index":749,"to_index":1189,"sum":93526,"residue":216},{"from_index":1189,"to_index":309,"sum":92021,"residue":1}],"minimal_cycle":[1,216,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[309,749],"circle_positions":430,"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":[310,750,1190],"clock_positions":[310,750,1190],"native_values":[85,300,85],"rotation_degrees":84.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,300,85],"beta":{"interval_sums":[97095,93655,92150],"interval_residues":[345,345,130],"display_cycle":[345,345,130],"intervals":[{"from_index":310,"to_index":750,"sum":97095,"residue":345},{"from_index":750,"to_index":1190,"sum":93655,"residue":345},{"from_index":1190,"to_index":310,"sum":92150,"residue":130}],"minimal_cycle":[345,345,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":345,"start_interval_clock_positions":[310,750],"circle_positions":430,"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":[311,751,1191],"clock_positions":[311,751,1191],"native_values":[299,299,84],"rotation_degrees":84.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,299,84],"beta":{"interval_sums":[97096,93441,92151],"interval_residues":[346,131,131],"display_cycle":[346,131,131],"intervals":[{"from_index":311,"to_index":751,"sum":97096,"residue":346},{"from_index":751,"to_index":1191,"sum":93441,"residue":131},{"from_index":1191,"to_index":311,"sum":92151,"residue":131}],"minimal_cycle":[346,131,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[311,751],"circle_positions":430,"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":[312,752,1192],"clock_positions":[312,752,1192],"native_values":[384,169,169],"rotation_degrees":85.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[384,169,169],"beta":{"interval_sums":[97011,93356,92281],"interval_residues":[261,46,261],"display_cycle":[261,46,261],"intervals":[{"from_index":312,"to_index":752,"sum":97011,"residue":261},{"from_index":752,"to_index":1192,"sum":93356,"residue":46},{"from_index":1192,"to_index":312,"sum":92281,"residue":261}],"minimal_cycle":[261,46,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[312,752],"circle_positions":430,"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":[313,753,1193],"clock_positions":[313,753,1193],"native_values":[253,38,253],"rotation_degrees":85.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,38,253],"beta":{"interval_sums":[96927,93487,92412],"interval_residues":[177,177,392],"display_cycle":[177,177,392],"intervals":[{"from_index":313,"to_index":753,"sum":96927,"residue":177},{"from_index":753,"to_index":1193,"sum":93487,"residue":177},{"from_index":1193,"to_index":313,"sum":92412,"residue":392}],"minimal_cycle":[177,177,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[313,753],"circle_positions":430,"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":[314,754,1194],"clock_positions":[314,754,1194],"native_values":[207,207,422],"rotation_degrees":85.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,422],"beta":{"interval_sums":[96758,93533,92243],"interval_residues":[8,223,223],"display_cycle":[8,223,223],"intervals":[{"from_index":314,"to_index":754,"sum":96758,"residue":8},{"from_index":754,"to_index":1194,"sum":93533,"residue":223},{"from_index":1194,"to_index":314,"sum":92243,"residue":223}],"minimal_cycle":[8,223,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[314,754],"circle_positions":430,"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":[315,755,1195],"clock_positions":[315,755,1195],"native_values":[30,245,245],"rotation_degrees":85.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[30,245,245],"beta":{"interval_sums":[96935,93710,92205],"interval_residues":[185,400,185],"display_cycle":[185,400,185],"intervals":[{"from_index":315,"to_index":755,"sum":96935,"residue":185},{"from_index":755,"to_index":1195,"sum":93710,"residue":400},{"from_index":1195,"to_index":315,"sum":92205,"residue":185}],"minimal_cycle":[185,400,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[315,755],"circle_positions":430,"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":[316,756,1196],"clock_positions":[316,756,1196],"native_values":[237,22,237],"rotation_degrees":86.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,22,237],"beta":{"interval_sums":[96943,93933,91998],"interval_residues":[193,193,408],"display_cycle":[193,193,408],"intervals":[{"from_index":316,"to_index":756,"sum":96943,"residue":193},{"from_index":756,"to_index":1196,"sum":93933,"residue":193},{"from_index":1196,"to_index":316,"sum":91998,"residue":408}],"minimal_cycle":[193,193,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[316,756],"circle_positions":430,"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":[317,757,1197],"clock_positions":[317,757,1197],"native_values":[267,267,52],"rotation_degrees":86.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,267,52],"beta":{"interval_sums":[96698,93903,92183],"interval_residues":[378,163,163],"display_cycle":[378,163,163],"intervals":[{"from_index":317,"to_index":757,"sum":96698,"residue":378},{"from_index":757,"to_index":1197,"sum":93903,"residue":163},{"from_index":1197,"to_index":317,"sum":92183,"residue":163}],"minimal_cycle":[378,163,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[317,757],"circle_positions":430,"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":[318,758,1198],"clock_positions":[318,758,1198],"native_values":[74,289,289],"rotation_degrees":86.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,289,289],"beta":{"interval_sums":[96891,93666,92161],"interval_residues":[141,356,141],"display_cycle":[141,356,141],"intervals":[{"from_index":318,"to_index":758,"sum":96891,"residue":141},{"from_index":758,"to_index":1198,"sum":93666,"residue":356},{"from_index":1198,"to_index":318,"sum":92161,"residue":141}],"minimal_cycle":[141,356,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[318,758],"circle_positions":430,"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":[319,759,1199],"clock_positions":[319,759,1199],"native_values":[341,126,341],"rotation_degrees":87.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,126,341],"beta":{"interval_sums":[96839,93829,91894],"interval_residues":[89,89,304],"display_cycle":[89,89,304],"intervals":[{"from_index":319,"to_index":759,"sum":96839,"residue":89},{"from_index":759,"to_index":1199,"sum":93829,"residue":89},{"from_index":1199,"to_index":319,"sum":91894,"residue":304}],"minimal_cycle":[89,89,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[319,759],"circle_positions":430,"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":[320,760,1200],"clock_positions":[320,760,1200],"native_values":[415,415,200],"rotation_degrees":87.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,415,200],"beta":{"interval_sums":[96550,93755,92035],"interval_residues":[230,15,15],"display_cycle":[230,15,15],"intervals":[{"from_index":320,"to_index":760,"sum":96550,"residue":230},{"from_index":760,"to_index":1200,"sum":93755,"residue":15},{"from_index":1200,"to_index":320,"sum":92035,"residue":15}],"minimal_cycle":[230,15,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[320,760],"circle_positions":430,"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":[321,761,1201],"clock_positions":[321,761,1201],"native_values":[326,111,111],"rotation_degrees":87.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,111,111],"beta":{"interval_sums":[96639,93844,92339],"interval_residues":[319,104,319],"display_cycle":[319,104,319],"intervals":[{"from_index":321,"to_index":761,"sum":96639,"residue":319},{"from_index":761,"to_index":1201,"sum":93844,"residue":104},{"from_index":1201,"to_index":321,"sum":92339,"residue":319}],"minimal_cycle":[319,104,319],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[321,761],"circle_positions":430,"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":[322,762,1202],"clock_positions":[322,762,1202],"native_values":[311,96,311],"rotation_degrees":87.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,96,311],"beta":{"interval_sums":[96439,93859,92354],"interval_residues":[119,119,334],"display_cycle":[119,119,334],"intervals":[{"from_index":322,"to_index":762,"sum":96439,"residue":119},{"from_index":762,"to_index":1202,"sum":93859,"residue":119},{"from_index":1202,"to_index":322,"sum":92354,"residue":334}],"minimal_cycle":[119,119,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[322,762],"circle_positions":430,"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":[323,763,1203],"clock_positions":[323,763,1203],"native_values":[207,207,422],"rotation_degrees":88.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,422],"beta":{"interval_sums":[96328,93963,92243],"interval_residues":[8,223,223],"display_cycle":[8,223,223],"intervals":[{"from_index":323,"to_index":763,"sum":96328,"residue":8},{"from_index":763,"to_index":1203,"sum":93963,"residue":223},{"from_index":1203,"to_index":323,"sum":92243,"residue":223}],"minimal_cycle":[8,223,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[323,763],"circle_positions":430,"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":[324,764,1204],"clock_positions":[324,764,1204],"native_values":[88,303,303],"rotation_degrees":88.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,303,303],"beta":{"interval_sums":[96447,94082,92147],"interval_residues":[127,342,127],"display_cycle":[127,342,127],"intervals":[{"from_index":324,"to_index":764,"sum":96447,"residue":127},{"from_index":764,"to_index":1204,"sum":94082,"residue":342},{"from_index":1204,"to_index":324,"sum":92147,"residue":127}],"minimal_cycle":[127,342,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[324,764],"circle_positions":430,"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":[325,765,1205],"clock_positions":[325,765,1205],"native_values":[295,80,295],"rotation_degrees":88.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,80,295],"beta":{"interval_sums":[96455,94305,91940],"interval_residues":[135,135,350],"display_cycle":[135,135,350],"intervals":[{"from_index":325,"to_index":765,"sum":96455,"residue":135},{"from_index":765,"to_index":1205,"sum":94305,"residue":135},{"from_index":1205,"to_index":325,"sum":91940,"residue":350}],"minimal_cycle":[135,135,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[325,765],"circle_positions":430,"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":[326,766,1206],"clock_positions":[326,766,1206],"native_values":[383,383,168],"rotation_degrees":88.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,383,168],"beta":{"interval_sums":[96152,94217,92067],"interval_residues":[262,47,47],"display_cycle":[262,47,47],"intervals":[{"from_index":326,"to_index":766,"sum":96152,"residue":262},{"from_index":766,"to_index":1206,"sum":94217,"residue":47},{"from_index":1206,"to_index":326,"sum":92067,"residue":47}],"minimal_cycle":[262,47,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[326,766],"circle_positions":430,"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":[327,767,1207],"clock_positions":[327,767,1207],"native_values":[248,33,33],"rotation_degrees":89.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,33,33],"beta":{"interval_sums":[96287,94352,92417],"interval_residues":[397,182,397],"display_cycle":[397,182,397],"intervals":[{"from_index":327,"to_index":767,"sum":96287,"residue":397},{"from_index":767,"to_index":1207,"sum":94352,"residue":182},{"from_index":1207,"to_index":327,"sum":92417,"residue":397}],"minimal_cycle":[397,182,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[327,767],"circle_positions":430,"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":[328,768,1208],"clock_positions":[328,768,1208],"native_values":[201,416,201],"rotation_degrees":89.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,416,201],"beta":{"interval_sums":[96119,93969,92464],"interval_residues":[229,229,14],"display_cycle":[229,229,14],"intervals":[{"from_index":328,"to_index":768,"sum":96119,"residue":229},{"from_index":768,"to_index":1208,"sum":93969,"residue":229},{"from_index":1208,"to_index":328,"sum":92464,"residue":14}],"minimal_cycle":[229,229,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[328,768],"circle_positions":430,"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":[329,769,1209],"clock_positions":[329,769,1209],"native_values":[19,19,234],"rotation_degrees":89.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,19,234],"beta":{"interval_sums":[96516,94151,92431],"interval_residues":[196,411,411],"display_cycle":[196,411,411],"intervals":[{"from_index":329,"to_index":769,"sum":96516,"residue":196},{"from_index":769,"to_index":1209,"sum":94151,"residue":411},{"from_index":1209,"to_index":329,"sum":92431,"residue":411}],"minimal_cycle":[196,411,411],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[329,769],"circle_positions":430,"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":[330,770,1210],"clock_positions":[330,770,1210],"native_values":[220,5,5],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,5,5],"beta":{"interval_sums":[96315,94380,92445],"interval_residues":[425,210,425],"display_cycle":[425,210,425],"intervals":[{"from_index":330,"to_index":770,"sum":96315,"residue":425},{"from_index":770,"to_index":1210,"sum":94380,"residue":210},{"from_index":1210,"to_index":330,"sum":92445,"residue":425}],"minimal_cycle":[425,210,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[330,770],"circle_positions":430,"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":[331,771,1211],"clock_positions":[331,771,1211],"native_values":[239,24,239],"rotation_degrees":90.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,24,239],"beta":{"interval_sums":[96081,94361,92426],"interval_residues":[191,191,406],"display_cycle":[191,191,406],"intervals":[{"from_index":331,"to_index":771,"sum":96081,"residue":191},{"from_index":771,"to_index":1211,"sum":94361,"residue":191},{"from_index":1211,"to_index":331,"sum":92426,"residue":406}],"minimal_cycle":[191,191,406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[331,771],"circle_positions":430,"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":[332,772,1212],"clock_positions":[332,772,1212],"native_values":[29,29,244],"rotation_degrees":90.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,29,244],"beta":{"interval_sums":[96076,94571,92421],"interval_residues":[186,401,401],"display_cycle":[186,401,401],"intervals":[{"from_index":332,"to_index":772,"sum":96076,"residue":186},{"from_index":772,"to_index":1212,"sum":94571,"residue":401},{"from_index":1212,"to_index":332,"sum":92421,"residue":401}],"minimal_cycle":[186,401,401],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[332,772],"circle_positions":430,"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":[333,773,1213],"clock_positions":[333,773,1213],"native_values":[268,53,53],"rotation_degrees":90.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,53,53],"beta":{"interval_sums":[95837,94762,92397],"interval_residues":[377,162,377],"display_cycle":[377,162,377],"intervals":[{"from_index":333,"to_index":773,"sum":95837,"residue":377},{"from_index":773,"to_index":1213,"sum":94762,"residue":162},{"from_index":1213,"to_index":333,"sum":92397,"residue":377}],"minimal_cycle":[377,162,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[333,773],"circle_positions":430,"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":[334,774,1214],"clock_positions":[334,774,1214],"native_values":[297,82,297],"rotation_degrees":91.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,82,297],"beta":{"interval_sums":[95593,94733,92368],"interval_residues":[133,133,348],"display_cycle":[133,133,348],"intervals":[{"from_index":334,"to_index":774,"sum":95593,"residue":133},{"from_index":774,"to_index":1214,"sum":94733,"residue":133},{"from_index":1214,"to_index":334,"sum":92368,"residue":348}],"minimal_cycle":[133,133,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":133,"start_interval_clock_positions":[334,774],"circle_positions":430,"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":[335,775,1215],"clock_positions":[335,775,1215],"native_values":[135,135,350],"rotation_degrees":91.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,135,350],"beta":{"interval_sums":[95540,94895,92315],"interval_residues":[80,295,295],"display_cycle":[80,295,295],"intervals":[{"from_index":335,"to_index":775,"sum":95540,"residue":80},{"from_index":775,"to_index":1215,"sum":94895,"residue":295},{"from_index":1215,"to_index":335,"sum":92315,"residue":295}],"minimal_cycle":[80,295,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[335,775],"circle_positions":430,"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":[336,776,1216],"clock_positions":[336,776,1216],"native_values":[2,217,217],"rotation_degrees":91.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,217,217],"beta":{"interval_sums":[95673,95028,92233],"interval_residues":[213,428,213],"display_cycle":[213,428,213],"intervals":[{"from_index":336,"to_index":776,"sum":95673,"residue":213},{"from_index":776,"to_index":1216,"sum":95028,"residue":428},{"from_index":1216,"to_index":336,"sum":92233,"residue":213}],"minimal_cycle":[213,428,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[336,776],"circle_positions":430,"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":[337,777,1217],"clock_positions":[337,777,1217],"native_values":[137,352,137],"rotation_degrees":91.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,352,137],"beta":{"interval_sums":[95753,94893,92098],"interval_residues":[293,293,78],"display_cycle":[293,293,78],"intervals":[{"from_index":337,"to_index":777,"sum":95753,"residue":293},{"from_index":777,"to_index":1217,"sum":94893,"residue":293},{"from_index":1217,"to_index":337,"sum":92098,"residue":78}],"minimal_cycle":[293,293,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":293,"start_interval_clock_positions":[337,777],"circle_positions":430,"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":[338,778,1218],"clock_positions":[338,778,1218],"native_values":[139,139,354],"rotation_degrees":92.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,139,354],"beta":{"interval_sums":[95966,94891,91881],"interval_residues":[76,291,291],"display_cycle":[76,291,291],"intervals":[{"from_index":338,"to_index":778,"sum":95966,"residue":76},{"from_index":778,"to_index":1218,"sum":94891,"residue":291},{"from_index":1218,"to_index":338,"sum":91881,"residue":291}],"minimal_cycle":[76,291,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[338,778],"circle_positions":430,"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":[339,779,1219],"clock_positions":[339,779,1219],"native_values":[276,61,61],"rotation_degrees":92.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,61,61],"beta":{"interval_sums":[95829,95184,91959],"interval_residues":[369,154,369],"display_cycle":[369,154,369],"intervals":[{"from_index":339,"to_index":779,"sum":95829,"residue":369},{"from_index":779,"to_index":1219,"sum":95184,"residue":154},{"from_index":1219,"to_index":339,"sum":91959,"residue":369}],"minimal_cycle":[369,154,369],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":369,"start_interval_clock_positions":[339,779],"circle_positions":430,"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":[340,780,1220],"clock_positions":[340,780,1220],"native_values":[415,200,415],"rotation_degrees":92.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,200,415],"beta":{"interval_sums":[95475,95045,91820],"interval_residues":[15,15,230],"display_cycle":[15,15,230],"intervals":[{"from_index":340,"to_index":780,"sum":95475,"residue":15},{"from_index":780,"to_index":1220,"sum":95045,"residue":15},{"from_index":1220,"to_index":340,"sum":91820,"residue":230}],"minimal_cycle":[15,15,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[340,780],"circle_positions":430,"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":[341,781,1221],"clock_positions":[341,781,1221],"native_values":[261,261,46],"rotation_degrees":93.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,261,46],"beta":{"interval_sums":[95414,95199,92189],"interval_residues":[384,169,169],"display_cycle":[384,169,169],"intervals":[{"from_index":341,"to_index":781,"sum":95414,"residue":384},{"from_index":781,"to_index":1221,"sum":95199,"residue":169},{"from_index":1221,"to_index":341,"sum":92189,"residue":169}],"minimal_cycle":[384,169,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[341,781],"circle_positions":430,"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":[342,782,1222],"clock_positions":[342,782,1222],"native_values":[246,31,31],"rotation_degrees":93.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[246,31,31],"beta":{"interval_sums":[95429,95214,92419],"interval_residues":[399,184,399],"display_cycle":[399,184,399],"intervals":[{"from_index":342,"to_index":782,"sum":95429,"residue":399},{"from_index":782,"to_index":1222,"sum":95214,"residue":184},{"from_index":1222,"to_index":342,"sum":92419,"residue":399}],"minimal_cycle":[399,184,399],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":399,"start_interval_clock_positions":[342,782],"circle_positions":430,"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":[343,783,1223],"clock_positions":[343,783,1223],"native_values":[77,292,77],"rotation_degrees":93.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,292,77],"beta":{"interval_sums":[95383,94953,92588],"interval_residues":[353,353,138],"display_cycle":[353,353,138],"intervals":[{"from_index":343,"to_index":783,"sum":95383,"residue":353},{"from_index":783,"to_index":1223,"sum":94953,"residue":353},{"from_index":1223,"to_index":343,"sum":92588,"residue":138}],"minimal_cycle":[353,353,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[343,783],"circle_positions":430,"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":[344,784,1224],"clock_positions":[344,784,1224],"native_values":[323,323,108],"rotation_degrees":93.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,323,108],"beta":{"interval_sums":[95352,94707,92557],"interval_residues":[322,107,107],"display_cycle":[322,107,107],"intervals":[{"from_index":344,"to_index":784,"sum":95352,"residue":322},{"from_index":784,"to_index":1224,"sum":94707,"residue":107},{"from_index":1224,"to_index":344,"sum":92557,"residue":107}],"minimal_cycle":[322,107,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[344,784],"circle_positions":430,"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":[345,785,1225],"clock_positions":[345,785,1225],"native_values":[400,185,185],"rotation_degrees":94.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,185,185],"beta":{"interval_sums":[95275,94630,92695],"interval_residues":[245,30,245],"display_cycle":[245,30,245],"intervals":[{"from_index":345,"to_index":785,"sum":95275,"residue":245},{"from_index":785,"to_index":1225,"sum":94630,"residue":30},{"from_index":1225,"to_index":345,"sum":92695,"residue":245}],"minimal_cycle":[245,30,245],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[345,785],"circle_positions":430,"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":[346,786,1226],"clock_positions":[346,786,1226],"native_values":[293,78,293],"rotation_degrees":94.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,78,293],"beta":{"interval_sums":[95167,94737,92802],"interval_residues":[137,137,352],"display_cycle":[137,137,352],"intervals":[{"from_index":346,"to_index":786,"sum":95167,"residue":137},{"from_index":786,"to_index":1226,"sum":94737,"residue":137},{"from_index":1226,"to_index":346,"sum":92802,"residue":352}],"minimal_cycle":[137,137,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[346,786],"circle_positions":430,"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":[347,787,1227],"clock_positions":[347,787,1227],"native_values":[263,263,48],"rotation_degrees":94.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,263,48],"beta":{"interval_sums":[94982,94767,93047],"interval_residues":[382,167,167],"display_cycle":[382,167,167],"intervals":[{"from_index":347,"to_index":787,"sum":94982,"residue":382},{"from_index":787,"to_index":1227,"sum":94767,"residue":167},{"from_index":1227,"to_index":347,"sum":93047,"residue":167}],"minimal_cycle":[382,167,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[347,787],"circle_positions":430,"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":[348,788,1228],"clock_positions":[348,788,1228],"native_values":[126,341,341],"rotation_degrees":94.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,341,341],"beta":{"interval_sums":[95119,94474,92969],"interval_residues":[89,304,89],"display_cycle":[89,304,89],"intervals":[{"from_index":348,"to_index":788,"sum":95119,"residue":89},{"from_index":788,"to_index":1228,"sum":94474,"residue":304},{"from_index":1228,"to_index":348,"sum":92969,"residue":89}],"minimal_cycle":[89,304,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[348,788],"circle_positions":430,"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":[349,789,1229],"clock_positions":[349,789,1229],"native_values":[389,174,389],"rotation_degrees":95.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,174,389],"beta":{"interval_sums":[95071,94641,92706],"interval_residues":[41,41,256],"display_cycle":[41,41,256],"intervals":[{"from_index":349,"to_index":789,"sum":95071,"residue":41},{"from_index":789,"to_index":1229,"sum":94641,"residue":41},{"from_index":1229,"to_index":349,"sum":92706,"residue":256}],"minimal_cycle":[41,41,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[349,789],"circle_positions":430,"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":[350,790,1230],"clock_positions":[350,790,1230],"native_values":[85,85,300],"rotation_degrees":95.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,85,300],"beta":{"interval_sums":[95160,94945,92795],"interval_residues":[130,345,345],"display_cycle":[130,345,345],"intervals":[{"from_index":350,"to_index":790,"sum":95160,"residue":130},{"from_index":790,"to_index":1230,"sum":94945,"residue":345},{"from_index":1230,"to_index":350,"sum":92795,"residue":345}],"minimal_cycle":[130,345,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[350,790],"circle_positions":430,"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":[351,791,1231],"clock_positions":[351,791,1231],"native_values":[44,259,259],"rotation_degrees":95.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,259,259],"beta":{"interval_sums":[95201,94986,92621],"interval_residues":[171,386,171],"display_cycle":[171,386,171],"intervals":[{"from_index":351,"to_index":791,"sum":95201,"residue":171},{"from_index":791,"to_index":1231,"sum":94986,"residue":386},{"from_index":1231,"to_index":351,"sum":92621,"residue":171}],"minimal_cycle":[171,386,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[351,791],"circle_positions":430,"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":[352,792,1232],"clock_positions":[352,792,1232],"native_values":[129,344,129],"rotation_degrees":96.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,344,129],"beta":{"interval_sums":[95331,94901,92536],"interval_residues":[301,301,86],"display_cycle":[301,301,86],"intervals":[{"from_index":352,"to_index":792,"sum":95331,"residue":301},{"from_index":792,"to_index":1232,"sum":94901,"residue":301},{"from_index":1232,"to_index":352,"sum":92536,"residue":86}],"minimal_cycle":[301,301,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[352,792],"circle_positions":430,"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":[353,793,1233],"clock_positions":[353,793,1233],"native_values":[173,173,388],"rotation_degrees":96.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,173,388],"beta":{"interval_sums":[95502,94857,92277],"interval_residues":[42,257,257],"display_cycle":[42,257,257],"intervals":[{"from_index":353,"to_index":793,"sum":95502,"residue":42},{"from_index":793,"to_index":1233,"sum":94857,"residue":257},{"from_index":1233,"to_index":353,"sum":92277,"residue":257}],"minimal_cycle":[42,257,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[353,793],"circle_positions":430,"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":[354,794,1234],"clock_positions":[354,794,1234],"native_values":[302,87,87],"rotation_degrees":96.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,87,87],"beta":{"interval_sums":[95373,95158,92363],"interval_residues":[343,128,343],"display_cycle":[343,128,343],"intervals":[{"from_index":354,"to_index":794,"sum":95373,"residue":343},{"from_index":794,"to_index":1234,"sum":95158,"residue":128},{"from_index":1234,"to_index":354,"sum":92363,"residue":343}],"minimal_cycle":[343,128,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[354,794],"circle_positions":430,"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":[355,795,1235],"clock_positions":[355,795,1235],"native_values":[45,260,45],"rotation_degrees":96.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,260,45],"beta":{"interval_sums":[95415,94985,92620],"interval_residues":[385,385,170],"display_cycle":[385,385,170],"intervals":[{"from_index":355,"to_index":795,"sum":95415,"residue":385},{"from_index":795,"to_index":1235,"sum":94985,"residue":385},{"from_index":1235,"to_index":355,"sum":92620,"residue":170}],"minimal_cycle":[385,385,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[355,795],"circle_positions":430,"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":[356,796,1236],"clock_positions":[356,796,1236],"native_values":[347,347,132],"rotation_degrees":97.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,347,132],"beta":{"interval_sums":[95328,94683,92533],"interval_residues":[298,83,83],"display_cycle":[298,83,83],"intervals":[{"from_index":356,"to_index":796,"sum":95328,"residue":298},{"from_index":796,"to_index":1236,"sum":94683,"residue":83},{"from_index":1236,"to_index":356,"sum":92533,"residue":83}],"minimal_cycle":[298,83,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[356,796],"circle_positions":430,"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":[357,797,1237],"clock_positions":[357,797,1237],"native_values":[392,177,177],"rotation_degrees":97.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[392,177,177],"beta":{"interval_sums":[95283,94638,92703],"interval_residues":[253,38,253],"display_cycle":[253,38,253],"intervals":[{"from_index":357,"to_index":797,"sum":95283,"residue":253},{"from_index":797,"to_index":1237,"sum":94638,"residue":38},{"from_index":1237,"to_index":357,"sum":92703,"residue":253}],"minimal_cycle":[253,38,253],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[357,797],"circle_positions":430,"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":[358,798,1238],"clock_positions":[358,798,1238],"native_values":[309,94,309],"rotation_degrees":97.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,94,309],"beta":{"interval_sums":[95151,94721,92786],"interval_residues":[121,121,336],"display_cycle":[121,121,336],"intervals":[{"from_index":358,"to_index":798,"sum":95151,"residue":121},{"from_index":798,"to_index":1238,"sum":94721,"residue":121},{"from_index":1238,"to_index":358,"sum":92786,"residue":336}],"minimal_cycle":[121,121,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[358,798],"circle_positions":430,"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":[359,799,1239],"clock_positions":[359,799,1239],"native_values":[271,271,56],"rotation_degrees":97.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,271,56],"beta":{"interval_sums":[94974,94759,93039],"interval_residues":[374,159,159],"display_cycle":[374,159,159],"intervals":[{"from_index":359,"to_index":799,"sum":94974,"residue":374},{"from_index":799,"to_index":1239,"sum":94759,"residue":159},{"from_index":1239,"to_index":359,"sum":93039,"residue":159}],"minimal_cycle":[374,159,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[359,799],"circle_positions":430,"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":[360,800,1240],"clock_positions":[360,800,1240],"native_values":[150,365,365],"rotation_degrees":98.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,365,365],"beta":{"interval_sums":[95095,94450,92945],"interval_residues":[65,280,65],"display_cycle":[65,280,65],"intervals":[{"from_index":360,"to_index":800,"sum":95095,"residue":65},{"from_index":800,"to_index":1240,"sum":94450,"residue":280},{"from_index":1240,"to_index":360,"sum":92945,"residue":65}],"minimal_cycle":[65,280,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[360,800],"circle_positions":430,"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":[361,801,1241],"clock_positions":[361,801,1241],"native_values":[421,206,421],"rotation_degrees":98.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,206,421],"beta":{"interval_sums":[95039,94609,92674],"interval_residues":[9,9,224],"display_cycle":[9,9,224],"intervals":[{"from_index":361,"to_index":801,"sum":95039,"residue":9},{"from_index":801,"to_index":1241,"sum":94609,"residue":9},{"from_index":1241,"to_index":361,"sum":92674,"residue":224}],"minimal_cycle":[9,9,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":9,"start_interval_clock_positions":[361,801],"circle_positions":430,"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":[362,802,1242],"clock_positions":[362,802,1242],"native_values":[141,141,356],"rotation_degrees":98.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,141,356],"beta":{"interval_sums":[95104,94889,92739],"interval_residues":[74,289,289],"display_cycle":[74,289,289],"intervals":[{"from_index":362,"to_index":802,"sum":95104,"residue":74},{"from_index":802,"to_index":1242,"sum":94889,"residue":289},{"from_index":1242,"to_index":362,"sum":92739,"residue":289}],"minimal_cycle":[74,289,289],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[362,802],"circle_positions":430,"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":[363,803,1243],"clock_positions":[363,803,1243],"native_values":[132,347,347],"rotation_degrees":99.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,347,347],"beta":{"interval_sums":[95113,94898,92533],"interval_residues":[83,298,83],"display_cycle":[83,298,83],"intervals":[{"from_index":363,"to_index":803,"sum":95113,"residue":83},{"from_index":803,"to_index":1243,"sum":94898,"residue":298},{"from_index":1243,"to_index":363,"sum":92533,"residue":83}],"minimal_cycle":[83,298,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":83,"start_interval_clock_positions":[363,803],"circle_positions":430,"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":[364,804,1244],"clock_positions":[364,804,1244],"native_values":[273,58,273],"rotation_degrees":99.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,58,273],"beta":{"interval_sums":[95187,95187,92392],"interval_residues":[157,157,372],"display_cycle":[157,157,372],"intervals":[{"from_index":364,"to_index":804,"sum":95187,"residue":157},{"from_index":804,"to_index":1244,"sum":95187,"residue":157},{"from_index":1244,"to_index":364,"sum":92392,"residue":372}],"minimal_cycle":[157,157,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[364,804],"circle_positions":430,"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":[365,805,1245],"clock_positions":[365,805,1245],"native_values":[405,405,190],"rotation_degrees":99.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,190],"beta":{"interval_sums":[94840,95055,92475],"interval_residues":[240,25,25],"display_cycle":[240,25,25],"intervals":[{"from_index":365,"to_index":805,"sum":94840,"residue":240},{"from_index":805,"to_index":1245,"sum":95055,"residue":25},{"from_index":1245,"to_index":365,"sum":92475,"residue":25}],"minimal_cycle":[240,25,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[365,805],"circle_positions":430,"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":[366,806,1246],"clock_positions":[366,806,1246],"native_values":[248,33,33],"rotation_degrees":99.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,33,33],"beta":{"interval_sums":[94997,95212,92847],"interval_residues":[397,182,397],"display_cycle":[397,182,397],"intervals":[{"from_index":366,"to_index":806,"sum":94997,"residue":397},{"from_index":806,"to_index":1246,"sum":95212,"residue":182},{"from_index":1246,"to_index":366,"sum":92847,"residue":397}],"minimal_cycle":[397,182,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[366,806],"circle_positions":430,"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":[367,807,1247],"clock_positions":[367,807,1247],"native_values":[223,8,223],"rotation_degrees":100.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,8,223],"beta":{"interval_sums":[94807,95237,92872],"interval_residues":[207,207,422],"display_cycle":[207,207,422],"intervals":[{"from_index":367,"to_index":807,"sum":94807,"residue":207},{"from_index":807,"to_index":1247,"sum":95237,"residue":207},{"from_index":1247,"to_index":367,"sum":92872,"residue":422}],"minimal_cycle":[207,207,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[367,807],"circle_positions":430,"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":[368,808,1248],"clock_positions":[368,808,1248],"native_values":[41,41,256],"rotation_degrees":100.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,41,256],"beta":{"interval_sums":[94774,95419,92839],"interval_residues":[174,389,389],"display_cycle":[174,389,389],"intervals":[{"from_index":368,"to_index":808,"sum":94774,"residue":174},{"from_index":808,"to_index":1248,"sum":95419,"residue":389},{"from_index":1248,"to_index":368,"sum":92839,"residue":389}],"minimal_cycle":[174,389,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[368,808],"circle_positions":430,"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":[369,809,1249],"clock_positions":[369,809,1249],"native_values":[264,49,49],"rotation_degrees":100.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[264,49,49],"beta":{"interval_sums":[94551,95626,92831],"interval_residues":[381,166,381],"display_cycle":[381,166,381],"intervals":[{"from_index":369,"to_index":809,"sum":94551,"residue":381},{"from_index":809,"to_index":1249,"sum":95626,"residue":166},{"from_index":1249,"to_index":369,"sum":92831,"residue":381}],"minimal_cycle":[381,166,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":381,"start_interval_clock_positions":[369,809],"circle_positions":430,"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":[370,810,1250],"clock_positions":[370,810,1250],"native_values":[305,90,305],"rotation_degrees":100.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,90,305],"beta":{"interval_sums":[94295,95585,92790],"interval_residues":[125,125,340],"display_cycle":[125,125,340],"intervals":[{"from_index":370,"to_index":810,"sum":94295,"residue":125},{"from_index":810,"to_index":1250,"sum":95585,"residue":125},{"from_index":1250,"to_index":370,"sum":92790,"residue":340}],"minimal_cycle":[125,125,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[370,810],"circle_positions":430,"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":[371,811,1251],"clock_positions":[371,811,1251],"native_values":[139,139,354],"rotation_degrees":101.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,139,354],"beta":{"interval_sums":[94246,95751,92741],"interval_residues":[76,291,291],"display_cycle":[76,291,291],"intervals":[{"from_index":371,"to_index":811,"sum":94246,"residue":76},{"from_index":811,"to_index":1251,"sum":95751,"residue":291},{"from_index":1251,"to_index":371,"sum":92741,"residue":291}],"minimal_cycle":[76,291,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[371,811],"circle_positions":430,"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":[372,812,1252],"clock_positions":[372,812,1252],"native_values":[14,229,229],"rotation_degrees":101.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,229,229],"beta":{"interval_sums":[94371,95876,92651],"interval_residues":[201,416,201],"display_cycle":[201,416,201],"intervals":[{"from_index":372,"to_index":812,"sum":94371,"residue":201},{"from_index":812,"to_index":1252,"sum":95876,"residue":416},{"from_index":1252,"to_index":372,"sum":92651,"residue":201}],"minimal_cycle":[201,416,201],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":201,"start_interval_clock_positions":[372,812],"circle_positions":430,"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":[373,813,1253],"clock_positions":[373,813,1253],"native_values":[153,368,153],"rotation_degrees":101.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,368,153],"beta":{"interval_sums":[94447,95737,92512],"interval_residues":[277,277,62],"display_cycle":[277,277,62],"intervals":[{"from_index":373,"to_index":813,"sum":94447,"residue":277},{"from_index":813,"to_index":1253,"sum":95737,"residue":277},{"from_index":1253,"to_index":373,"sum":92512,"residue":62}],"minimal_cycle":[277,277,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[373,813],"circle_positions":430,"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":[374,814,1254],"clock_positions":[374,814,1254],"native_values":[167,167,382],"rotation_degrees":102.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,167,382],"beta":{"interval_sums":[94648,95723,92283],"interval_residues":[48,263,263],"display_cycle":[48,263,263],"intervals":[{"from_index":374,"to_index":814,"sum":94648,"residue":48},{"from_index":814,"to_index":1254,"sum":95723,"residue":263},{"from_index":1254,"to_index":374,"sum":92283,"residue":263}],"minimal_cycle":[48,263,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[374,814],"circle_positions":430,"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":[375,815,1255],"clock_positions":[375,815,1255],"native_values":[320,105,105],"rotation_degrees":102.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,105,105],"beta":{"interval_sums":[94495,96000,92345],"interval_residues":[325,110,325],"display_cycle":[325,110,325],"intervals":[{"from_index":375,"to_index":815,"sum":94495,"residue":325},{"from_index":815,"to_index":1255,"sum":96000,"residue":110},{"from_index":1255,"to_index":375,"sum":92345,"residue":325}],"minimal_cycle":[325,110,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[375,815],"circle_positions":430,"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":[376,816,1256],"clock_positions":[376,816,1256],"native_values":[57,272,57],"rotation_degrees":102.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,272,57],"beta":{"interval_sums":[94543,95833,92608],"interval_residues":[373,373,158],"display_cycle":[373,373,158],"intervals":[{"from_index":376,"to_index":816,"sum":94543,"residue":373},{"from_index":816,"to_index":1256,"sum":95833,"residue":373},{"from_index":1256,"to_index":376,"sum":92608,"residue":158}],"minimal_cycle":[373,373,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":373,"start_interval_clock_positions":[376,816],"circle_positions":430,"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":[377,817,1257],"clock_positions":[377,817,1257],"native_values":[377,377,162],"rotation_degrees":102.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,377,162],"beta":{"interval_sums":[94438,95513,92503],"interval_residues":[268,53,53],"display_cycle":[268,53,53],"intervals":[{"from_index":377,"to_index":817,"sum":94438,"residue":268},{"from_index":817,"to_index":1257,"sum":95513,"residue":53},{"from_index":1257,"to_index":377,"sum":92503,"residue":53}],"minimal_cycle":[268,53,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[377,817],"circle_positions":430,"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":[378,818,1258],"clock_positions":[378,818,1258],"native_values":[4,219,219],"rotation_degrees":103.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,219,219],"beta":{"interval_sums":[94811,95456,92661],"interval_residues":[211,426,211],"display_cycle":[211,426,211],"intervals":[{"from_index":378,"to_index":818,"sum":94811,"residue":211},{"from_index":818,"to_index":1258,"sum":95456,"residue":426},{"from_index":1258,"to_index":378,"sum":92661,"residue":211}],"minimal_cycle":[211,426,211],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[378,818],"circle_positions":430,"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":[379,819,1259],"clock_positions":[379,819,1259],"native_values":[381,166,381],"rotation_degrees":103.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,166,381],"beta":{"interval_sums":[94649,95509,92284],"interval_residues":[49,49,264],"display_cycle":[49,49,264],"intervals":[{"from_index":379,"to_index":819,"sum":94649,"residue":49},{"from_index":819,"to_index":1259,"sum":95509,"residue":49},{"from_index":1259,"to_index":379,"sum":92284,"residue":264}],"minimal_cycle":[49,49,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":49,"start_interval_clock_positions":[379,819],"circle_positions":430,"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":[380,820,1260],"clock_positions":[380,820,1260],"native_values":[385,385,170],"rotation_degrees":103.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,385,170],"beta":{"interval_sums":[94430,95505,92495],"interval_residues":[260,45,45],"display_cycle":[260,45,45],"intervals":[{"from_index":380,"to_index":820,"sum":94430,"residue":260},{"from_index":820,"to_index":1260,"sum":95505,"residue":45},{"from_index":1260,"to_index":380,"sum":92495,"residue":45}],"minimal_cycle":[260,45,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[380,820],"circle_positions":430,"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":[381,821,1261],"clock_positions":[381,821,1261],"native_values":[336,121,121],"rotation_degrees":103.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,121,121],"beta":{"interval_sums":[94479,95554,92759],"interval_residues":[309,94,309],"display_cycle":[309,94,309],"intervals":[{"from_index":381,"to_index":821,"sum":94479,"residue":309},{"from_index":821,"to_index":1261,"sum":95554,"residue":94},{"from_index":1261,"to_index":381,"sum":92759,"residue":309}],"minimal_cycle":[309,94,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[381,821],"circle_positions":430,"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":[382,822,1262],"clock_positions":[382,822,1262],"native_values":[291,76,291],"rotation_degrees":104.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,76,291],"beta":{"interval_sums":[94309,95599,92804],"interval_residues":[139,139,354],"display_cycle":[139,139,354],"intervals":[{"from_index":382,"to_index":822,"sum":94309,"residue":139},{"from_index":822,"to_index":1262,"sum":95599,"residue":139},{"from_index":1262,"to_index":382,"sum":92804,"residue":354}],"minimal_cycle":[139,139,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":139,"start_interval_clock_positions":[382,822],"circle_positions":430,"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":[383,823,1263],"clock_positions":[383,823,1263],"native_values":[197,197,412],"rotation_degrees":104.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,197,412],"beta":{"interval_sums":[94188,95693,92683],"interval_residues":[18,233,233],"display_cycle":[18,233,233],"intervals":[{"from_index":383,"to_index":823,"sum":94188,"residue":18},{"from_index":823,"to_index":1263,"sum":95693,"residue":233},{"from_index":1263,"to_index":383,"sum":92683,"residue":233}],"minimal_cycle":[18,233,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[383,823],"circle_positions":430,"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":[384,824,1264],"clock_positions":[384,824,1264],"native_values":[58,273,273],"rotation_degrees":104.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[58,273,273],"beta":{"interval_sums":[94327,95832,92607],"interval_residues":[157,372,157],"display_cycle":[157,372,157],"intervals":[{"from_index":384,"to_index":824,"sum":94327,"residue":157},{"from_index":824,"to_index":1264,"sum":95832,"residue":372},{"from_index":1264,"to_index":384,"sum":92607,"residue":157}],"minimal_cycle":[157,372,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[384,824],"circle_positions":430,"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":[385,825,1265],"clock_positions":[385,825,1265],"native_values":[255,40,255],"rotation_degrees":105.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,40,255],"beta":{"interval_sums":[94345,96065,92410],"interval_residues":[175,175,390],"display_cycle":[175,175,390],"intervals":[{"from_index":385,"to_index":825,"sum":94345,"residue":175},{"from_index":825,"to_index":1265,"sum":96065,"residue":175},{"from_index":1265,"to_index":385,"sum":92410,"residue":390}],"minimal_cycle":[175,175,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[385,825],"circle_positions":430,"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":[386,826,1266],"clock_positions":[386,826,1266],"native_values":[313,313,98],"rotation_degrees":105.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,313,98],"beta":{"interval_sums":[94072,96007,92567],"interval_residues":[332,117,117],"display_cycle":[332,117,117],"intervals":[{"from_index":386,"to_index":826,"sum":94072,"residue":332},{"from_index":826,"to_index":1266,"sum":96007,"residue":117},{"from_index":1266,"to_index":386,"sum":92567,"residue":117}],"minimal_cycle":[332,117,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[386,826],"circle_positions":430,"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":[387,827,1267],"clock_positions":[387,827,1267],"native_values":[138,353,353],"rotation_degrees":105.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,353,353],"beta":{"interval_sums":[94247,95752,92527],"interval_residues":[77,292,77],"display_cycle":[77,292,77],"intervals":[{"from_index":387,"to_index":827,"sum":94247,"residue":77},{"from_index":827,"to_index":1267,"sum":95752,"residue":292},{"from_index":1267,"to_index":387,"sum":92527,"residue":77}],"minimal_cycle":[77,292,77],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[387,827],"circle_positions":430,"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":[388,828,1268],"clock_positions":[388,828,1268],"native_values":[21,236,21],"rotation_degrees":105.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,236,21],"beta":{"interval_sums":[94579,95869,92644],"interval_residues":[409,409,194],"display_cycle":[409,409,194],"intervals":[{"from_index":388,"to_index":828,"sum":94579,"residue":409},{"from_index":828,"to_index":1268,"sum":95869,"residue":409},{"from_index":1268,"to_index":388,"sum":92644,"residue":194}],"minimal_cycle":[409,409,194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":409,"start_interval_clock_positions":[388,828],"circle_positions":430,"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":[389,829,1269],"clock_positions":[389,829,1269],"native_values":[159,159,374],"rotation_degrees":106.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,159,374],"beta":{"interval_sums":[94656,95731,92291],"interval_residues":[56,271,271],"display_cycle":[56,271,271],"intervals":[{"from_index":389,"to_index":829,"sum":94656,"residue":56},{"from_index":829,"to_index":1269,"sum":95731,"residue":271},{"from_index":1269,"to_index":389,"sum":92291,"residue":271}],"minimal_cycle":[56,271,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[389,829],"circle_positions":430,"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":[390,830,1270],"clock_positions":[390,830,1270],"native_values":[180,395,395],"rotation_degrees":106.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,395,395],"beta":{"interval_sums":[94635,95710,92055],"interval_residues":[35,250,35],"display_cycle":[35,250,35],"intervals":[{"from_index":390,"to_index":830,"sum":94635,"residue":35},{"from_index":830,"to_index":1270,"sum":95710,"residue":250},{"from_index":1270,"to_index":390,"sum":92055,"residue":35}],"minimal_cycle":[35,250,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[390,830],"circle_positions":430,"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":[391,831,1271],"clock_positions":[391,831,1271],"native_values":[339,124,339],"rotation_degrees":106.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,124,339],"beta":{"interval_sums":[94691,95981,91896],"interval_residues":[91,91,306],"display_cycle":[91,91,306],"intervals":[{"from_index":391,"to_index":831,"sum":94691,"residue":91},{"from_index":831,"to_index":1271,"sum":95981,"residue":91},{"from_index":1271,"to_index":391,"sum":91896,"residue":306}],"minimal_cycle":[91,91,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[391,831],"circle_positions":430,"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":[392,832,1272],"clock_positions":[392,832,1272],"native_values":[89,89,304],"rotation_degrees":106.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,89,304],"beta":{"interval_sums":[94726,96231,91931],"interval_residues":[126,341,341],"display_cycle":[126,341,341],"intervals":[{"from_index":392,"to_index":832,"sum":94726,"residue":126},{"from_index":832,"to_index":1272,"sum":96231,"residue":341},{"from_index":1272,"to_index":392,"sum":91931,"residue":341}],"minimal_cycle":[126,341,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[392,832],"circle_positions":430,"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":[393,833,1273],"clock_positions":[393,833,1273],"native_values":[428,213,213],"rotation_degrees":107.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,213,213],"beta":{"interval_sums":[94387,96322,91807],"interval_residues":[217,2,217],"display_cycle":[217,2,217],"intervals":[{"from_index":393,"to_index":833,"sum":94387,"residue":217},{"from_index":833,"to_index":1273,"sum":96322,"residue":2},{"from_index":1273,"to_index":393,"sum":91807,"residue":217}],"minimal_cycle":[217,2,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":217,"start_interval_clock_positions":[393,833],"circle_positions":430,"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":[394,834,1274],"clock_positions":[394,834,1274],"native_values":[87,302,87],"rotation_degrees":107.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,302,87],"beta":{"interval_sums":[94513,96233,92148],"interval_residues":[343,343,128],"display_cycle":[343,343,128],"intervals":[{"from_index":394,"to_index":834,"sum":94513,"residue":343},{"from_index":834,"to_index":1274,"sum":96233,"residue":343},{"from_index":1274,"to_index":394,"sum":92148,"residue":128}],"minimal_cycle":[343,343,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":343,"start_interval_clock_positions":[394,834],"circle_positions":430,"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":[395,835,1275],"clock_positions":[395,835,1275],"native_values":[85,85,300],"rotation_degrees":107.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,85,300],"beta":{"interval_sums":[94730,96235,91935],"interval_residues":[130,345,345],"display_cycle":[130,345,345],"intervals":[{"from_index":395,"to_index":835,"sum":94730,"residue":130},{"from_index":835,"to_index":1275,"sum":96235,"residue":345},{"from_index":1275,"to_index":395,"sum":91935,"residue":345}],"minimal_cycle":[130,345,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[395,835],"circle_positions":430,"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":[396,836,1276],"clock_positions":[396,836,1276],"native_values":[172,387,387],"rotation_degrees":108.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[172,387,387],"beta":{"interval_sums":[94643,96148,91633],"interval_residues":[43,258,43],"display_cycle":[43,258,43],"intervals":[{"from_index":396,"to_index":836,"sum":94643,"residue":43},{"from_index":836,"to_index":1276,"sum":96148,"residue":258},{"from_index":1276,"to_index":396,"sum":91633,"residue":43}],"minimal_cycle":[43,258,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":43,"start_interval_clock_positions":[396,836],"circle_positions":430,"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":[397,837,1277],"clock_positions":[397,837,1277],"native_values":[257,42,257],"rotation_degrees":108.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,42,257],"beta":{"interval_sums":[94773,96493,91548],"interval_residues":[173,173,388],"display_cycle":[173,173,388],"intervals":[{"from_index":397,"to_index":837,"sum":94773,"residue":173},{"from_index":837,"to_index":1277,"sum":96493,"residue":173},{"from_index":1277,"to_index":397,"sum":91548,"residue":388}],"minimal_cycle":[173,173,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[397,837],"circle_positions":430,"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":[398,838,1278],"clock_positions":[398,838,1278],"native_values":[429,429,214],"rotation_degrees":108.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,429,214],"beta":{"interval_sums":[94386,96321,91591],"interval_residues":[216,1,1],"display_cycle":[216,1,1],"intervals":[{"from_index":398,"to_index":838,"sum":94386,"residue":216},{"from_index":838,"to_index":1278,"sum":96321,"residue":1},{"from_index":1278,"to_index":398,"sum":91591,"residue":1}],"minimal_cycle":[216,1,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[398,838],"circle_positions":430,"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":[399,839,1279],"clock_positions":[399,839,1279],"native_values":[256,41,41],"rotation_degrees":108.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,41,41],"beta":{"interval_sums":[94559,96494,91979],"interval_residues":[389,174,389],"display_cycle":[389,174,389],"intervals":[{"from_index":399,"to_index":839,"sum":94559,"residue":389},{"from_index":839,"to_index":1279,"sum":96494,"residue":174},{"from_index":1279,"to_index":399,"sum":91979,"residue":389}],"minimal_cycle":[389,174,389],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[399,839],"circle_positions":430,"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":[400,840,1280],"clock_positions":[400,840,1280],"native_values":[255,40,255],"rotation_degrees":109.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,40,255],"beta":{"interval_sums":[94345,96495,91980],"interval_residues":[175,175,390],"display_cycle":[175,175,390],"intervals":[{"from_index":400,"to_index":840,"sum":94345,"residue":175},{"from_index":840,"to_index":1280,"sum":96495,"residue":175},{"from_index":1280,"to_index":400,"sum":91980,"residue":390}],"minimal_cycle":[175,175,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":175,"start_interval_clock_positions":[400,840],"circle_positions":430,"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":[401,841,1281],"clock_positions":[401,841,1281],"native_values":[81,81,296],"rotation_degrees":109.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,81,296],"beta":{"interval_sums":[94304,96669,91939],"interval_residues":[134,349,349],"display_cycle":[134,349,349],"intervals":[{"from_index":401,"to_index":841,"sum":94304,"residue":134},{"from_index":841,"to_index":1281,"sum":96669,"residue":349},{"from_index":1281,"to_index":401,"sum":91939,"residue":349}],"minimal_cycle":[134,349,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[401,841],"circle_positions":430,"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":[402,842,1282],"clock_positions":[402,842,1282],"native_values":[336,121,121],"rotation_degrees":109.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,121,121],"beta":{"interval_sums":[94049,96844,91899],"interval_residues":[309,94,309],"display_cycle":[309,94,309],"intervals":[{"from_index":402,"to_index":842,"sum":94049,"residue":309},{"from_index":842,"to_index":1282,"sum":96844,"residue":94},{"from_index":1282,"to_index":402,"sum":91899,"residue":309}],"minimal_cycle":[309,94,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[402,842],"circle_positions":430,"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":[403,843,1283],"clock_positions":[403,843,1283],"native_values":[417,202,417],"rotation_degrees":109.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,202,417],"beta":{"interval_sums":[93753,96763,91818],"interval_residues":[13,13,228],"display_cycle":[13,13,228],"intervals":[{"from_index":403,"to_index":843,"sum":93753,"residue":13},{"from_index":843,"to_index":1283,"sum":96763,"residue":13},{"from_index":1283,"to_index":403,"sum":91818,"residue":228}],"minimal_cycle":[13,13,228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[403,843],"circle_positions":430,"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":[404,844,1284],"clock_positions":[404,844,1284],"native_values":[323,323,108],"rotation_degrees":110.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,323,108],"beta":{"interval_sums":[93632,96857,92127],"interval_residues":[322,107,107],"display_cycle":[322,107,107],"intervals":[{"from_index":404,"to_index":844,"sum":93632,"residue":322},{"from_index":844,"to_index":1284,"sum":96857,"residue":107},{"from_index":1284,"to_index":404,"sum":92127,"residue":107}],"minimal_cycle":[322,107,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[404,844],"circle_positions":430,"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":[405,845,1285],"clock_positions":[405,845,1285],"native_values":[310,95,95],"rotation_degrees":110.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,95,95],"beta":{"interval_sums":[93645,96870,92355],"interval_residues":[335,120,335],"display_cycle":[335,120,335],"intervals":[{"from_index":405,"to_index":845,"sum":93645,"residue":335},{"from_index":845,"to_index":1285,"sum":96870,"residue":120},{"from_index":1285,"to_index":405,"sum":92355,"residue":335}],"minimal_cycle":[335,120,335],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[405,845],"circle_positions":430,"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":[406,846,1286],"clock_positions":[406,846,1286],"native_values":[203,418,203],"rotation_degrees":110.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,418,203],"beta":{"interval_sums":[93537,96547,92462],"interval_residues":[227,227,12],"display_cycle":[227,227,12],"intervals":[{"from_index":406,"to_index":846,"sum":93537,"residue":227},{"from_index":846,"to_index":1286,"sum":96547,"residue":227},{"from_index":1286,"to_index":406,"sum":92462,"residue":12}],"minimal_cycle":[227,227,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[406,846],"circle_positions":430,"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":[407,847,1287],"clock_positions":[407,847,1287],"native_values":[83,83,298],"rotation_degrees":111.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,83,298],"beta":{"interval_sums":[93872,96667,92367],"interval_residues":[132,347,347],"display_cycle":[132,347,347],"intervals":[{"from_index":407,"to_index":847,"sum":93872,"residue":132},{"from_index":847,"to_index":1287,"sum":96667,"residue":347},{"from_index":1287,"to_index":407,"sum":92367,"residue":347}],"minimal_cycle":[132,347,347],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[407,847],"circle_positions":430,"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":[408,848,1288],"clock_positions":[408,848,1288],"native_values":[286,71,71],"rotation_degrees":111.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,71,71],"beta":{"interval_sums":[93669,96894,92379],"interval_residues":[359,144,359],"display_cycle":[359,144,359],"intervals":[{"from_index":408,"to_index":848,"sum":93669,"residue":359},{"from_index":848,"to_index":1288,"sum":96894,"residue":144},{"from_index":1288,"to_index":408,"sum":92379,"residue":359}],"minimal_cycle":[359,144,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":359,"start_interval_clock_positions":[408,848],"circle_positions":430,"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":[409,849,1289],"clock_positions":[409,849,1289],"native_values":[369,154,369],"rotation_degrees":111.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,154,369],"beta":{"interval_sums":[93371,96811,92296],"interval_residues":[61,61,276],"display_cycle":[61,61,276],"intervals":[{"from_index":409,"to_index":849,"sum":93371,"residue":61},{"from_index":849,"to_index":1289,"sum":96811,"residue":61},{"from_index":1289,"to_index":409,"sum":92296,"residue":276}],"minimal_cycle":[61,61,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[409,849],"circle_positions":430,"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":[410,850,1290],"clock_positions":[410,850,1290],"native_values":[225,225,10],"rotation_degrees":111.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,225,10],"beta":{"interval_sums":[93300,96955,92655],"interval_residues":[420,205,205],"display_cycle":[420,205,205],"intervals":[{"from_index":410,"to_index":850,"sum":93300,"residue":420},{"from_index":850,"to_index":1290,"sum":96955,"residue":205},{"from_index":1290,"to_index":410,"sum":92655,"residue":205}],"minimal_cycle":[420,205,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[410,850],"circle_positions":430,"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":[411,851,1291],"clock_positions":[411,851,1291],"native_values":[164,379,379],"rotation_degrees":112.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,379,379],"beta":{"interval_sums":[93361,96586,92501],"interval_residues":[51,266,51],"display_cycle":[51,266,51],"intervals":[{"from_index":411,"to_index":851,"sum":93361,"residue":51},{"from_index":851,"to_index":1291,"sum":96586,"residue":266},{"from_index":1291,"to_index":411,"sum":92501,"residue":51}],"minimal_cycle":[51,266,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":51,"start_interval_clock_positions":[411,851],"circle_positions":430,"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":[412,852,1292],"clock_positions":[412,852,1292],"native_values":[389,174,389],"rotation_degrees":112.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,174,389],"beta":{"interval_sums":[93351,96791,92276],"interval_residues":[41,41,256],"display_cycle":[41,41,256],"intervals":[{"from_index":412,"to_index":852,"sum":93351,"residue":41},{"from_index":852,"to_index":1292,"sum":96791,"residue":41},{"from_index":1292,"to_index":412,"sum":92276,"residue":256}],"minimal_cycle":[41,41,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[412,852],"circle_positions":430,"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":[413,853,1293],"clock_positions":[413,853,1293],"native_values":[123,123,338],"rotation_degrees":112.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,123,338],"beta":{"interval_sums":[93402,97057,92327],"interval_residues":[92,307,307],"display_cycle":[92,307,307],"intervals":[{"from_index":413,"to_index":853,"sum":93402,"residue":92},{"from_index":853,"to_index":1293,"sum":97057,"residue":307},{"from_index":1293,"to_index":413,"sum":92327,"residue":307}],"minimal_cycle":[92,307,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[413,853],"circle_positions":430,"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":[414,854,1294],"clock_positions":[414,854,1294],"native_values":[82,297,297],"rotation_degrees":112.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[82,297,297],"beta":{"interval_sums":[93443,97098,92153],"interval_residues":[133,348,133],"display_cycle":[133,348,133],"intervals":[{"from_index":414,"to_index":854,"sum":93443,"residue":133},{"from_index":854,"to_index":1294,"sum":97098,"residue":348},{"from_index":1294,"to_index":414,"sum":92153,"residue":133}],"minimal_cycle":[133,348,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":133,"start_interval_clock_positions":[414,854],"circle_positions":430,"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":[415,855,1295],"clock_positions":[415,855,1295],"native_values":[205,420,205],"rotation_degrees":113.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,420,205],"beta":{"interval_sums":[93535,96975,92030],"interval_residues":[225,225,10],"display_cycle":[225,225,10],"intervals":[{"from_index":415,"to_index":855,"sum":93535,"residue":225},{"from_index":855,"to_index":1295,"sum":96975,"residue":225},{"from_index":1295,"to_index":415,"sum":92030,"residue":10}],"minimal_cycle":[225,225,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[415,855],"circle_positions":430,"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":[416,856,1296],"clock_positions":[416,856,1296],"native_values":[287,287,72],"rotation_degrees":113.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,287,72],"beta":{"interval_sums":[93668,96893,92163],"interval_residues":[358,143,143],"display_cycle":[358,143,143],"intervals":[{"from_index":416,"to_index":856,"sum":93668,"residue":358},{"from_index":856,"to_index":1296,"sum":96893,"residue":143},{"from_index":1296,"to_index":416,"sum":92163,"residue":143}],"minimal_cycle":[358,143,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[416,856],"circle_positions":430,"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":[417,857,1297],"clock_positions":[417,857,1297],"native_values":[62,277,277],"rotation_degrees":113.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,277,277],"beta":{"interval_sums":[93893,96688,92173],"interval_residues":[153,368,153],"display_cycle":[153,368,153],"intervals":[{"from_index":417,"to_index":857,"sum":93893,"residue":153},{"from_index":857,"to_index":1297,"sum":96688,"residue":368},{"from_index":1297,"to_index":417,"sum":92173,"residue":153}],"minimal_cycle":[153,368,153],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[417,857],"circle_positions":430,"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":[418,858,1298],"clock_positions":[418,858,1298],"native_values":[349,134,349],"rotation_degrees":114.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,134,349],"beta":{"interval_sums":[93821,96831,91886],"interval_residues":[81,81,296],"display_cycle":[81,81,296],"intervals":[{"from_index":418,"to_index":858,"sum":93821,"residue":81},{"from_index":858,"to_index":1298,"sum":96831,"residue":81},{"from_index":1298,"to_index":418,"sum":91886,"residue":296}],"minimal_cycle":[81,81,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[418,858],"circle_positions":430,"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":[419,859,1299],"clock_positions":[419,859,1299],"native_values":[411,411,196],"rotation_degrees":114.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,411,196],"beta":{"interval_sums":[93544,96769,92039],"interval_residues":[234,19,19],"display_cycle":[234,19,19],"intervals":[{"from_index":419,"to_index":859,"sum":93544,"residue":234},{"from_index":859,"to_index":1299,"sum":96769,"residue":19},{"from_index":1299,"to_index":419,"sum":92039,"residue":19}],"minimal_cycle":[234,19,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[419,859],"circle_positions":430,"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":[420,860,1300],"clock_positions":[420,860,1300],"native_values":[330,115,115],"rotation_degrees":114.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[330,115,115],"beta":{"interval_sums":[93625,96850,92335],"interval_residues":[315,100,315],"display_cycle":[315,100,315],"intervals":[{"from_index":420,"to_index":860,"sum":93625,"residue":315},{"from_index":860,"to_index":1300,"sum":96850,"residue":100},{"from_index":1300,"to_index":420,"sum":92335,"residue":315}],"minimal_cycle":[315,100,315],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[420,860],"circle_positions":430,"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":[421,861,1301],"clock_positions":[421,861,1301],"native_values":[311,96,311],"rotation_degrees":114.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,96,311],"beta":{"interval_sums":[93429,96869,92354],"interval_residues":[119,119,334],"display_cycle":[119,119,334],"intervals":[{"from_index":421,"to_index":861,"sum":93429,"residue":119},{"from_index":861,"to_index":1301,"sum":96869,"residue":119},{"from_index":1301,"to_index":421,"sum":92354,"residue":334}],"minimal_cycle":[119,119,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[421,861],"circle_positions":430,"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":[422,862,1302],"clock_positions":[422,862,1302],"native_values":[211,211,426],"rotation_degrees":115.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,211,426],"beta":{"interval_sums":[93314,96969,92239],"interval_residues":[4,219,219],"display_cycle":[4,219,219],"intervals":[{"from_index":422,"to_index":862,"sum":93314,"residue":4},{"from_index":862,"to_index":1302,"sum":96969,"residue":219},{"from_index":1302,"to_index":422,"sum":92239,"residue":219}],"minimal_cycle":[4,219,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[422,862],"circle_positions":430,"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":[423,863,1303],"clock_positions":[423,863,1303],"native_values":[92,307,307],"rotation_degrees":115.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,307,307],"beta":{"interval_sums":[93433,97088,92143],"interval_residues":[123,338,123],"display_cycle":[123,338,123],"intervals":[{"from_index":423,"to_index":863,"sum":93433,"residue":123},{"from_index":863,"to_index":1303,"sum":97088,"residue":338},{"from_index":1303,"to_index":423,"sum":92143,"residue":123}],"minimal_cycle":[123,338,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[423,863],"circle_positions":430,"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":[424,864,1304],"clock_positions":[424,864,1304],"native_values":[303,88,303],"rotation_degrees":115.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,88,303],"beta":{"interval_sums":[93437,97307,91932],"interval_residues":[127,127,342],"display_cycle":[127,127,342],"intervals":[{"from_index":424,"to_index":864,"sum":93437,"residue":127},{"from_index":864,"to_index":1304,"sum":97307,"residue":127},{"from_index":1304,"to_index":424,"sum":91932,"residue":342}],"minimal_cycle":[127,127,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[424,864],"circle_positions":430,"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":[425,865,1305],"clock_positions":[425,865,1305],"native_values":[395,395,180],"rotation_degrees":115.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[395,395,180],"beta":{"interval_sums":[93130,97215,92055],"interval_residues":[250,35,35],"display_cycle":[250,35,35],"intervals":[{"from_index":425,"to_index":865,"sum":93130,"residue":250},{"from_index":865,"to_index":1305,"sum":97215,"residue":35},{"from_index":1305,"to_index":425,"sum":92055,"residue":35}],"minimal_cycle":[250,35,35],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[425,865],"circle_positions":430,"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":[426,866,1306],"clock_positions":[426,866,1306],"native_values":[268,53,53],"rotation_degrees":116.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,53,53],"beta":{"interval_sums":[93257,97342,92397],"interval_residues":[377,162,377],"display_cycle":[377,162,377],"intervals":[{"from_index":426,"to_index":866,"sum":93257,"residue":377},{"from_index":866,"to_index":1306,"sum":97342,"residue":162},{"from_index":1306,"to_index":426,"sum":92397,"residue":377}],"minimal_cycle":[377,162,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[426,866],"circle_positions":430,"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":[427,867,1307],"clock_positions":[427,867,1307],"native_values":[233,18,233],"rotation_degrees":116.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,18,233],"beta":{"interval_sums":[93077,97377,92432],"interval_residues":[197,197,412],"display_cycle":[197,197,412],"intervals":[{"from_index":427,"to_index":867,"sum":93077,"residue":197},{"from_index":867,"to_index":1307,"sum":97377,"residue":197},{"from_index":1307,"to_index":427,"sum":92432,"residue":412}],"minimal_cycle":[197,197,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[427,867],"circle_positions":430,"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":[428,868,1308],"clock_positions":[428,868,1308],"native_values":[71,71,286],"rotation_degrees":116.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,71,286],"beta":{"interval_sums":[93024,97539,92379],"interval_residues":[144,359,359],"display_cycle":[144,359,359],"intervals":[{"from_index":428,"to_index":868,"sum":93024,"residue":144},{"from_index":868,"to_index":1308,"sum":97539,"residue":359},{"from_index":1308,"to_index":428,"sum":92379,"residue":359}],"minimal_cycle":[144,359,359],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[428,868],"circle_positions":430,"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":[429,869,1309],"clock_positions":[429,869,1309],"native_values":[304,89,89],"rotation_degrees":117.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,89,89],"beta":{"interval_sums":[92791,97736,92361],"interval_residues":[341,126,341],"display_cycle":[341,126,341],"intervals":[{"from_index":429,"to_index":869,"sum":92791,"residue":341},{"from_index":869,"to_index":1309,"sum":97736,"residue":126},{"from_index":1309,"to_index":429,"sum":92361,"residue":341}],"minimal_cycle":[341,126,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[429,869],"circle_positions":430,"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":[430,870,1310],"clock_positions":[430,870,1310],"native_values":[375,160,375],"rotation_degrees":117.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,160,375],"beta":{"interval_sums":[92505,97665,92290],"interval_residues":[55,55,270],"display_cycle":[55,55,270],"intervals":[{"from_index":430,"to_index":870,"sum":92505,"residue":55},{"from_index":870,"to_index":1310,"sum":97665,"residue":55},{"from_index":1310,"to_index":430,"sum":92290,"residue":270}],"minimal_cycle":[55,55,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":55,"start_interval_clock_positions":[430,870],"circle_positions":430,"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":[431,871,1311],"clock_positions":[431,871,1311],"native_values":[249,249,34],"rotation_degrees":117.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,249,34],"beta":{"interval_sums":[92416,97791,92631],"interval_residues":[396,181,181],"display_cycle":[396,181,181],"intervals":[{"from_index":431,"to_index":871,"sum":92416,"residue":396},{"from_index":871,"to_index":1311,"sum":97791,"residue":181},{"from_index":1311,"to_index":431,"sum":92631,"residue":181}],"minimal_cycle":[396,181,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[431,871],"circle_positions":430,"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":[432,872,1312],"clock_positions":[432,872,1312],"native_values":[194,409,409],"rotation_degrees":117.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,409,409],"beta":{"interval_sums":[92471,97416,92471],"interval_residues":[21,236,21],"display_cycle":[21,236,21],"intervals":[{"from_index":432,"to_index":872,"sum":92471,"residue":21},{"from_index":872,"to_index":1312,"sum":97416,"residue":236},{"from_index":1312,"to_index":432,"sum":92471,"residue":21}],"minimal_cycle":[21,236,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[432,872],"circle_positions":430,"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":[433,873,1313],"clock_positions":[433,873,1313],"native_values":[13,228,13],"rotation_degrees":118.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,228,13],"beta":{"interval_sums":[92867,97597,92652],"interval_residues":[417,417,202],"display_cycle":[417,417,202],"intervals":[{"from_index":433,"to_index":873,"sum":92867,"residue":417},{"from_index":873,"to_index":1313,"sum":97597,"residue":417},{"from_index":1313,"to_index":433,"sum":92652,"residue":202}],"minimal_cycle":[417,417,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[433,873],"circle_positions":430,"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":[434,874,1314],"clock_positions":[434,874,1314],"native_values":[207,207,422],"rotation_degrees":118.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,422],"beta":{"interval_sums":[92888,97403,92243],"interval_residues":[8,223,223],"display_cycle":[8,223,223],"intervals":[{"from_index":434,"to_index":874,"sum":92888,"residue":8},{"from_index":874,"to_index":1314,"sum":97403,"residue":223},{"from_index":1314,"to_index":434,"sum":92243,"residue":223}],"minimal_cycle":[8,223,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[434,874],"circle_positions":430,"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":[435,875,1315],"clock_positions":[435,875,1315],"native_values":[220,5,5],"rotation_degrees":118.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,5,5],"beta":{"interval_sums":[92875,97820,92445],"interval_residues":[425,210,425],"display_cycle":[425,210,425],"intervals":[{"from_index":435,"to_index":875,"sum":92875,"residue":425},{"from_index":875,"to_index":1315,"sum":97820,"residue":210},{"from_index":1315,"to_index":435,"sum":92445,"residue":425}],"minimal_cycle":[425,210,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[435,875],"circle_positions":430,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-436","shape":"Equilateral triangle","alpha_indices":[436,876,1316],"clock_positions":[436,876,1316],"native_values":[427,212,427],"rotation_degrees":118.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,212,427],"beta":{"interval_sums":[92453,97613,92238],"interval_residues":[3,3,218],"display_cycle":[3,3,218],"intervals":[{"from_index":436,"to_index":876,"sum":92453,"residue":3},{"from_index":876,"to_index":1316,"sum":97613,"residue":3},{"from_index":1316,"to_index":436,"sum":92238,"residue":218}],"minimal_cycle":[3,3,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":3,"start_interval_clock_positions":[436,876],"circle_positions":430,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-437","shape":"Equilateral triangle","alpha_indices":[437,877,1317],"clock_positions":[437,877,1317],"native_values":[217,217,2],"rotation_degrees":119.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,217,2],"beta":{"interval_sums":[92448,97823,92663],"interval_residues":[428,213,213],"display_cycle":[428,213,213],"intervals":[{"from_index":437,"to_index":877,"sum":92448,"residue":428},{"from_index":877,"to_index":1317,"sum":97823,"residue":213},{"from_index":1317,"to_index":437,"sum":92663,"residue":213}],"minimal_cycle":[428,213,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[437,877],"circle_positions":430,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-438","shape":"Equilateral triangle","alpha_indices":[438,878,1318],"clock_positions":[438,878,1318],"native_values":[214,429,429],"rotation_degrees":119.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[214,429,429],"beta":{"interval_sums":[92451,97396,92451],"interval_residues":[1,216,1],"display_cycle":[1,216,1],"intervals":[{"from_index":438,"to_index":878,"sum":92451,"residue":1},{"from_index":878,"to_index":1318,"sum":97396,"residue":216},{"from_index":1318,"to_index":438,"sum":92451,"residue":1}],"minimal_cycle":[1,216,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[438,878],"circle_positions":430,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-439","shape":"Equilateral triangle","alpha_indices":[439,879,1319],"clock_positions":[439,879,1319],"native_values":[1,216,1],"rotation_degrees":119.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,216,1],"beta":{"interval_sums":[92879,97609,92664],"interval_residues":[429,429,214],"display_cycle":[429,429,214],"intervals":[{"from_index":439,"to_index":879,"sum":92879,"residue":429},{"from_index":879,"to_index":1319,"sum":97609,"residue":429},{"from_index":1319,"to_index":439,"sum":92664,"residue":214}],"minimal_cycle":[429,429,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[439,879],"circle_positions":430,"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":[0,220,440,660,880,1100],"clock_positions":[1320,220,440,660,880,1100],"native_values":[430,215,215,430,215,215],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[430,215,215],"beta":{"interval_sums":[42740,49710,47470,45410,47900,49280],"interval_residues":[170,260,170,260,170,260],"display_cycle":[170,260,170,260,170,260],"intervals":[{"from_index":0,"to_index":220,"sum":42740,"residue":170},{"from_index":220,"to_index":440,"sum":49710,"residue":260},{"from_index":440,"to_index":660,"sum":47470,"residue":170},{"from_index":660,"to_index":880,"sum":45410,"residue":260},{"from_index":880,"to_index":1100,"sum":47900,"residue":170},{"from_index":1100,"to_index":0,"sum":49280,"residue":260}],"minimal_cycle":[170,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[1320,220],"circle_positions":430,"cycle_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":[1,221,441,661,881,1101],"clock_positions":[1,221,441,661,881,1101],"native_values":[1,171,216,171,1,386],"rotation_degrees":0.2727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,171,216,171,1,386],"beta":{"interval_sums":[42954,49754,47254,45454,48114,48894],"interval_residues":[384,304,384,304,384,304],"display_cycle":[384,304,384,304,384,304],"intervals":[{"from_index":1,"to_index":221,"sum":42954,"residue":384},{"from_index":221,"to_index":441,"sum":49754,"residue":304},{"from_index":441,"to_index":661,"sum":47254,"residue":384},{"from_index":661,"to_index":881,"sum":45454,"residue":304},{"from_index":881,"to_index":1101,"sum":48114,"residue":384},{"from_index":1101,"to_index":1,"sum":48894,"residue":304}],"minimal_cycle":[384,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[1,221],"circle_positions":430,"cycle_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":[2,222,442,662,882,1102],"clock_positions":[2,222,442,662,882,1102],"native_values":[1,386,1,171,216,171],"rotation_degrees":0.5454545454545454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,386,1,171,216,171],"beta":{"interval_sums":[43124,49584,47424,45284,48284,48724],"interval_residues":[124,134,124,134,124,134],"display_cycle":[124,134,124,134,124,134],"intervals":[{"from_index":2,"to_index":222,"sum":43124,"residue":124},{"from_index":222,"to_index":442,"sum":49584,"residue":134},{"from_index":442,"to_index":662,"sum":47424,"residue":124},{"from_index":662,"to_index":882,"sum":45284,"residue":134},{"from_index":882,"to_index":1102,"sum":48284,"residue":124},{"from_index":1102,"to_index":2,"sum":48724,"residue":134}],"minimal_cycle":[124,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[2,222],"circle_positions":430,"cycle_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":[3,223,443,663,883,1103],"clock_positions":[3,223,443,663,883,1103],"native_values":[2,127,217,342,217,127],"rotation_degrees":0.8181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,127,217,342,217,127],"beta":{"interval_sums":[43508,49458,47378,45158,48238,48598],"interval_residues":[78,8,78,8,78,8],"display_cycle":[78,8,78,8,78,8],"intervals":[{"from_index":3,"to_index":223,"sum":43508,"residue":78},{"from_index":223,"to_index":443,"sum":49458,"residue":8},{"from_index":443,"to_index":663,"sum":47378,"residue":78},{"from_index":663,"to_index":883,"sum":45158,"residue":8},{"from_index":883,"to_index":1103,"sum":48238,"residue":78},{"from_index":1103,"to_index":3,"sum":48598,"residue":8}],"minimal_cycle":[78,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[3,223],"circle_positions":430,"cycle_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":[4,224,444,664,884,1104],"clock_positions":[4,224,444,664,884,1104],"native_values":[3,83,218,83,3,298],"rotation_degrees":1.0909090909090908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,83,218,83,3,298],"beta":{"interval_sums":[43632,49592,47502,45292,48362,48302],"interval_residues":[202,142,202,142,202,142],"display_cycle":[202,142,202,142,202,142],"intervals":[{"from_index":4,"to_index":224,"sum":43632,"residue":202},{"from_index":224,"to_index":444,"sum":49592,"residue":142},{"from_index":444,"to_index":664,"sum":47502,"residue":202},{"from_index":664,"to_index":884,"sum":45292,"residue":142},{"from_index":884,"to_index":1104,"sum":48362,"residue":202},{"from_index":1104,"to_index":4,"sum":48302,"residue":142}],"minimal_cycle":[202,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[4,224],"circle_positions":430,"cycle_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":[5,225,445,665,885,1105],"clock_positions":[5,225,445,665,885,1105],"native_values":[5,210,5,425,220,425],"rotation_degrees":1.3636363636363635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,210,5,425,220,425],"beta":{"interval_sums":[43710,49600,47580,44870,48440,47880],"interval_residues":[280,150,280,150,280,150],"display_cycle":[280,150,280,150,280,150],"intervals":[{"from_index":5,"to_index":225,"sum":43710,"residue":280},{"from_index":225,"to_index":445,"sum":49600,"residue":150},{"from_index":445,"to_index":665,"sum":47580,"residue":280},{"from_index":665,"to_index":885,"sum":44870,"residue":150},{"from_index":885,"to_index":1105,"sum":48440,"residue":280},{"from_index":1105,"to_index":5,"sum":47880,"residue":150}],"minimal_cycle":[280,150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[5,225],"circle_positions":430,"cycle_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":[6,226,446,666,886,1106],"clock_positions":[6,226,446,666,886,1106],"native_values":[8,293,223,78,223,293],"rotation_degrees":1.6363636363636365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,293,223,78,223,293],"beta":{"interval_sums":[43912,49312,47782,45012,48642,47592],"interval_residues":[52,292,52,292,52,292],"display_cycle":[52,292,52,292,52,292],"intervals":[{"from_index":6,"to_index":226,"sum":43912,"residue":52},{"from_index":226,"to_index":446,"sum":49312,"residue":292},{"from_index":446,"to_index":666,"sum":47782,"residue":52},{"from_index":666,"to_index":886,"sum":45012,"residue":292},{"from_index":886,"to_index":1106,"sum":48642,"residue":52},{"from_index":1106,"to_index":6,"sum":47592,"residue":292}],"minimal_cycle":[52,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[6,226],"circle_positions":430,"cycle_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":[7,227,447,667,887,1107],"clock_positions":[7,227,447,667,887,1107],"native_values":[13,73,228,73,13,288],"rotation_degrees":1.9090909090909092,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,73,228,73,13,288],"beta":{"interval_sums":[44192,49462,47632,45162,48922,47312],"interval_residues":[332,12,332,12,332,12],"display_cycle":[332,12,332,12,332,12],"intervals":[{"from_index":7,"to_index":227,"sum":44192,"residue":332},{"from_index":227,"to_index":447,"sum":49462,"residue":12},{"from_index":447,"to_index":667,"sum":47632,"residue":332},{"from_index":667,"to_index":887,"sum":45162,"residue":12},{"from_index":887,"to_index":1107,"sum":48922,"residue":332},{"from_index":1107,"to_index":7,"sum":47312,"residue":12}],"minimal_cycle":[332,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[7,227],"circle_positions":430,"cycle_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":[8,228,448,668,888,1108],"clock_positions":[8,228,448,668,888,1108],"native_values":[21,366,21,151,236,151],"rotation_degrees":2.1818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,366,21,151,236,151],"beta":{"interval_sums":[44244,49324,47684,45024,48974,47174],"interval_residues":[384,304,384,304,384,304],"display_cycle":[384,304,384,304,384,304],"intervals":[{"from_index":8,"to_index":228,"sum":44244,"residue":384},{"from_index":228,"to_index":448,"sum":49324,"residue":304},{"from_index":448,"to_index":668,"sum":47684,"residue":384},{"from_index":668,"to_index":888,"sum":45024,"residue":304},{"from_index":888,"to_index":1108,"sum":48974,"residue":384},{"from_index":1108,"to_index":8,"sum":47174,"residue":304}],"minimal_cycle":[384,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[8,228],"circle_positions":430,"cycle_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":[9,229,449,669,889,1109],"clock_positions":[9,229,449,669,889,1109],"native_values":[34,9,249,224,249,9],"rotation_degrees":2.4545454545454546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,9,249,224,249,9],"beta":{"interval_sums":[44576,49336,47586,45036,48876,47186],"interval_residues":[286,316,286,316,286,316],"display_cycle":[286,316,286,316,286,316],"intervals":[{"from_index":9,"to_index":229,"sum":44576,"residue":286},{"from_index":229,"to_index":449,"sum":49336,"residue":316},{"from_index":449,"to_index":669,"sum":47586,"residue":286},{"from_index":669,"to_index":889,"sum":45036,"residue":316},{"from_index":889,"to_index":1109,"sum":48876,"residue":286},{"from_index":1109,"to_index":9,"sum":47186,"residue":316}],"minimal_cycle":[286,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[9,229],"circle_positions":430,"cycle_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":[10,230,450,670,890,1110],"clock_positions":[10,230,450,670,890,1110],"native_values":[55,375,270,375,55,160],"rotation_degrees":2.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,375,270,375,55,160],"beta":{"interval_sums":[44530,49210,47540,44910,48830,47060],"interval_residues":[240,190,240,190,240,190],"display_cycle":[240,190,240,190,240,190],"intervals":[{"from_index":10,"to_index":230,"sum":44530,"residue":240},{"from_index":230,"to_index":450,"sum":49210,"residue":190},{"from_index":450,"to_index":670,"sum":47540,"residue":240},{"from_index":670,"to_index":890,"sum":44910,"residue":190},{"from_index":890,"to_index":1110,"sum":48830,"residue":240},{"from_index":1110,"to_index":10,"sum":47060,"residue":190}],"minimal_cycle":[240,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[10,230],"circle_positions":430,"cycle_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":[11,231,451,671,891,1111],"clock_positions":[11,231,451,671,891,1111],"native_values":[89,384,89,169,304,169],"rotation_degrees":3.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,384,89,169,304,169],"beta":{"interval_sums":[44816,49096,47826,44796,48686,46946],"interval_residues":[96,76,96,76,96,76],"display_cycle":[96,76,96,76,96,76],"intervals":[{"from_index":11,"to_index":231,"sum":44816,"residue":96},{"from_index":231,"to_index":451,"sum":49096,"residue":76},{"from_index":451,"to_index":671,"sum":47826,"residue":96},{"from_index":671,"to_index":891,"sum":44796,"residue":76},{"from_index":891,"to_index":1111,"sum":48686,"residue":96},{"from_index":1111,"to_index":11,"sum":46946,"residue":76}],"minimal_cycle":[96,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[11,231],"circle_positions":430,"cycle_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":[12,232,452,672,892,1112],"clock_positions":[12,232,452,672,892,1112],"native_values":[144,329,359,114,359,329],"rotation_degrees":3.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,329,359,114,359,329],"beta":{"interval_sums":[45056,48856,47636,44986,48496,46706],"interval_residues":[336,266,336,266,336,266],"display_cycle":[336,266,336,266,336,266],"intervals":[{"from_index":12,"to_index":232,"sum":45056,"residue":336},{"from_index":232,"to_index":452,"sum":48856,"residue":266},{"from_index":452,"to_index":672,"sum":47636,"residue":336},{"from_index":672,"to_index":892,"sum":44986,"residue":266},{"from_index":892,"to_index":1112,"sum":48496,"residue":336},{"from_index":1112,"to_index":12,"sum":46706,"residue":266}],"minimal_cycle":[336,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[12,232],"circle_positions":430,"cycle_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":[13,233,453,673,893,1113],"clock_positions":[13,233,453,673,893,1113],"native_values":[233,283,18,283,233,68],"rotation_degrees":3.5454545454545454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,283,18,283,233,68],"beta":{"interval_sums":[45152,48932,47732,45062,48592,46782],"interval_residues":[2,342,2,342,2,342],"display_cycle":[2,342,2,342,2,342],"intervals":[{"from_index":13,"to_index":233,"sum":45152,"residue":2},{"from_index":233,"to_index":453,"sum":48932,"residue":342},{"from_index":453,"to_index":673,"sum":47732,"residue":2},{"from_index":673,"to_index":893,"sum":45062,"residue":342},{"from_index":893,"to_index":1113,"sum":48592,"residue":2},{"from_index":1113,"to_index":13,"sum":46782,"residue":342}],"minimal_cycle":[2,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[13,233],"circle_positions":430,"cycle_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":[14,234,454,674,894,1114],"clock_positions":[14,234,454,674,894,1114],"native_values":[377,182,377,397,162,397],"rotation_degrees":3.8181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,182,377,397,162,397],"beta":{"interval_sums":[45058,48768,47638,44898,48498,46618],"interval_residues":[338,178,338,178,338,178],"display_cycle":[338,178,338,178,338,178],"intervals":[{"from_index":14,"to_index":234,"sum":45058,"residue":338},{"from_index":234,"to_index":454,"sum":48768,"residue":178},{"from_index":454,"to_index":674,"sum":47638,"residue":338},{"from_index":674,"to_index":894,"sum":44898,"residue":178},{"from_index":894,"to_index":1114,"sum":48498,"residue":338},{"from_index":1114,"to_index":14,"sum":46618,"residue":178}],"minimal_cycle":[338,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[14,234],"circle_positions":430,"cycle_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":[15,235,455,675,895,1115],"clock_positions":[15,235,455,675,895,1115],"native_values":[180,35,395,250,395,35],"rotation_degrees":4.090909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,35,395,250,395,35],"beta":{"interval_sums":[45060,49110,47640,44810,48500,46960],"interval_residues":[340,90,340,90,340,90],"display_cycle":[340,90,340,90,340,90],"intervals":[{"from_index":15,"to_index":235,"sum":45060,"residue":340},{"from_index":235,"to_index":455,"sum":49110,"residue":90},{"from_index":455,"to_index":675,"sum":47640,"residue":340},{"from_index":675,"to_index":895,"sum":44810,"residue":90},{"from_index":895,"to_index":1115,"sum":48500,"residue":340},{"from_index":1115,"to_index":15,"sum":46960,"residue":90}],"minimal_cycle":[340,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[15,235],"circle_positions":430,"cycle_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":[16,236,456,676,896,1116],"clock_positions":[16,236,456,676,896,1116],"native_values":[127,217,342,217,127,2],"rotation_degrees":4.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,217,342,217,127,2],"beta":{"interval_sums":[44968,49288,47548,44988,48408,47138],"interval_residues":[248,268,248,268,248,268],"display_cycle":[248,268,248,268,248,268],"intervals":[{"from_index":16,"to_index":236,"sum":44968,"residue":248},{"from_index":236,"to_index":456,"sum":49288,"residue":268},{"from_index":456,"to_index":676,"sum":47548,"residue":248},{"from_index":676,"to_index":896,"sum":44988,"residue":268},{"from_index":896,"to_index":1116,"sum":48408,"residue":248},{"from_index":1116,"to_index":16,"sum":47138,"residue":268}],"minimal_cycle":[248,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[16,236],"circle_positions":430,"cycle_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":[17,237,457,677,897,1117],"clock_positions":[17,237,457,677,897,1117],"native_values":[307,252,307,37,92,37],"rotation_degrees":4.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,252,307,37,92,37],"beta":{"interval_sums":[44878,49378,47458,45078,48318,47228],"interval_residues":[158,358,158,358,158,358],"display_cycle":[158,358,158,358,158,358],"intervals":[{"from_index":17,"to_index":237,"sum":44878,"residue":158},{"from_index":237,"to_index":457,"sum":49378,"residue":358},{"from_index":457,"to_index":677,"sum":47458,"residue":158},{"from_index":677,"to_index":897,"sum":45078,"residue":358},{"from_index":897,"to_index":1117,"sum":48318,"residue":158},{"from_index":1117,"to_index":17,"sum":47228,"residue":358}],"minimal_cycle":[158,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[17,237],"circle_positions":430,"cycle_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":[18,238,458,678,898,1118],"clock_positions":[18,238,458,678,898,1118],"native_values":[4,39,219,254,219,39],"rotation_degrees":4.909090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,39,219,254,219,39],"beta":{"interval_sums":[45126,49646,47276,44916,48136,47496],"interval_residues":[406,196,406,196,406,196],"display_cycle":[406,196,406,196,406,196],"intervals":[{"from_index":18,"to_index":238,"sum":45126,"residue":406},{"from_index":238,"to_index":458,"sum":49646,"residue":196},{"from_index":458,"to_index":678,"sum":47276,"residue":406},{"from_index":678,"to_index":898,"sum":44916,"residue":196},{"from_index":898,"to_index":1118,"sum":48136,"residue":406},{"from_index":1118,"to_index":18,"sum":47496,"residue":196}],"minimal_cycle":[406,196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[18,238],"circle_positions":430,"cycle_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":[19,239,459,679,899,1119],"clock_positions":[19,239,459,679,899,1119],"native_values":[311,291,96,291,311,76],"rotation_degrees":5.181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,291,96,291,311,76],"beta":{"interval_sums":[44854,49574,47434,44844,47864,47424],"interval_residues":[134,124,134,124,134,124],"display_cycle":[134,124,134,124,134,124],"intervals":[{"from_index":19,"to_index":239,"sum":44854,"residue":134},{"from_index":239,"to_index":459,"sum":49574,"residue":124},{"from_index":459,"to_index":679,"sum":47434,"residue":134},{"from_index":679,"to_index":899,"sum":44844,"residue":124},{"from_index":899,"to_index":1119,"sum":47864,"residue":134},{"from_index":1119,"to_index":19,"sum":47424,"residue":124}],"minimal_cycle":[134,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[19,239],"circle_positions":430,"cycle_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":[20,240,460,680,900,1120],"clock_positions":[20,240,460,680,900,1120],"native_values":[315,330,315,115,100,115],"rotation_degrees":5.454545454545454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,330,315,115,100,115],"beta":{"interval_sums":[44830,49340,47410,45040,47840,47620],"interval_residues":[110,320,110,320,110,320],"display_cycle":[110,320,110,320,110,320],"intervals":[{"from_index":20,"to_index":240,"sum":44830,"residue":110},{"from_index":240,"to_index":460,"sum":49340,"residue":320},{"from_index":460,"to_index":680,"sum":47410,"residue":110},{"from_index":680,"to_index":900,"sum":45040,"residue":320},{"from_index":900,"to_index":1120,"sum":47840,"residue":110},{"from_index":1120,"to_index":20,"sum":47620,"residue":320}],"minimal_cycle":[110,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[20,240],"circle_positions":430,"cycle_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":[21,241,461,681,901,1121],"clock_positions":[21,241,461,681,901,1121],"native_values":[196,191,411,406,411,191],"rotation_degrees":5.7272727272727275,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[196,191,411,406,411,191],"beta":{"interval_sums":[44964,49464,47114,44734,47544,47744],"interval_residues":[244,14,244,14,244,14],"display_cycle":[244,14,244,14,244,14],"intervals":[{"from_index":21,"to_index":241,"sum":44964,"residue":244},{"from_index":241,"to_index":461,"sum":49464,"residue":14},{"from_index":461,"to_index":681,"sum":47114,"residue":244},{"from_index":681,"to_index":901,"sum":44734,"residue":14},{"from_index":901,"to_index":1121,"sum":47544,"residue":244},{"from_index":1121,"to_index":21,"sum":47744,"residue":14}],"minimal_cycle":[244,14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[21,241],"circle_positions":430,"cycle_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":[22,242,462,682,902,1122],"clock_positions":[22,242,462,682,902,1122],"native_values":[81,91,296,91,81,306],"rotation_degrees":6.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,91,296,91,81,306],"beta":{"interval_sums":[45074,49784,47224,45054,47654,47634],"interval_residues":[354,334,354,334,354,334],"display_cycle":[354,334,354,334,354,334],"intervals":[{"from_index":22,"to_index":242,"sum":45074,"residue":354},{"from_index":242,"to_index":462,"sum":49784,"residue":334},{"from_index":462,"to_index":682,"sum":47224,"residue":354},{"from_index":682,"to_index":902,"sum":45054,"residue":334},{"from_index":902,"to_index":1122,"sum":47654,"residue":354},{"from_index":1122,"to_index":22,"sum":47634,"residue":334}],"minimal_cycle":[354,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[22,242],"circle_positions":430,"cycle_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":[23,243,463,683,903,1123],"clock_positions":[23,243,463,683,903,1123],"native_values":[277,282,277,67,62,67],"rotation_degrees":6.2727272727272725,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,282,277,67,62,67],"beta":{"interval_sums":[44888,49798,47038,45068,47898,47648],"interval_residues":[168,348,168,348,168,348],"display_cycle":[168,348,168,348,168,348],"intervals":[{"from_index":23,"to_index":243,"sum":44888,"residue":168},{"from_index":243,"to_index":463,"sum":49798,"residue":348},{"from_index":463,"to_index":683,"sum":47038,"residue":168},{"from_index":683,"to_index":903,"sum":45068,"residue":348},{"from_index":903,"to_index":1123,"sum":47898,"residue":168},{"from_index":1123,"to_index":23,"sum":47648,"residue":348}],"minimal_cycle":[168,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[23,243],"circle_positions":430,"cycle_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":[24,244,464,684,904,1124],"clock_positions":[24,244,464,684,904,1124],"native_values":[358,373,143,158,143,373],"rotation_degrees":6.545454545454546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,373,143,158,143,373],"beta":{"interval_sums":[44812,49702,46962,44972,47822,47552],"interval_residues":[92,252,92,252,92,252],"display_cycle":[92,252,92,252,92,252],"intervals":[{"from_index":24,"to_index":244,"sum":44812,"residue":92},{"from_index":244,"to_index":464,"sum":49702,"residue":252},{"from_index":464,"to_index":684,"sum":46962,"residue":92},{"from_index":684,"to_index":904,"sum":44972,"residue":252},{"from_index":904,"to_index":1124,"sum":47822,"residue":92},{"from_index":1124,"to_index":24,"sum":47552,"residue":252}],"minimal_cycle":[92,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[24,244],"circle_positions":430,"cycle_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":[25,245,465,685,905,1125],"clock_positions":[25,245,465,685,905,1125],"native_values":[205,225,420,225,205,10],"rotation_degrees":6.818181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,225,420,225,205,10],"beta":{"interval_sums":[44980,49620,46700,44890,47990,47900],"interval_residues":[260,170,260,170,260,170],"display_cycle":[260,170,260,170,260,170],"intervals":[{"from_index":25,"to_index":245,"sum":44980,"residue":260},{"from_index":245,"to_index":465,"sum":49620,"residue":170},{"from_index":465,"to_index":685,"sum":46700,"residue":260},{"from_index":685,"to_index":905,"sum":44890,"residue":170},{"from_index":905,"to_index":1125,"sum":47990,"residue":260},{"from_index":1125,"to_index":25,"sum":47900,"residue":170}],"minimal_cycle":[260,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[25,245],"circle_positions":430,"cycle_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":[26,246,466,686,906,1126],"clock_positions":[26,246,466,686,906,1126],"native_values":[133,168,133,383,348,383],"rotation_degrees":7.090909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,168,133,383,348,383],"beta":{"interval_sums":[45072,49872,46792,44712,47652,47722],"interval_residues":[352,422,352,422,352,422],"display_cycle":[352,422,352,422,352,422],"intervals":[{"from_index":26,"to_index":246,"sum":45072,"residue":352},{"from_index":246,"to_index":466,"sum":49872,"residue":422},{"from_index":466,"to_index":686,"sum":46792,"residue":352},{"from_index":686,"to_index":906,"sum":44712,"residue":422},{"from_index":906,"to_index":1126,"sum":47652,"residue":352},{"from_index":1126,"to_index":26,"sum":47722,"residue":422}],"minimal_cycle":[352,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[26,246],"circle_positions":430,"cycle_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":[27,247,467,687,907,1127],"clock_positions":[27,247,467,687,907,1127],"native_values":[338,393,123,178,123,393],"rotation_degrees":7.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,393,123,178,123,393],"beta":{"interval_sums":[44902,49612,47052,44882,47912,47462],"interval_residues":[182,162,182,162,182,162],"display_cycle":[182,162,182,162,182,162],"intervals":[{"from_index":27,"to_index":247,"sum":44902,"residue":182},{"from_index":247,"to_index":467,"sum":49612,"residue":162},{"from_index":467,"to_index":687,"sum":47052,"residue":182},{"from_index":687,"to_index":907,"sum":44882,"residue":162},{"from_index":907,"to_index":1127,"sum":47912,"residue":182},{"from_index":1127,"to_index":27,"sum":47462,"residue":162}],"minimal_cycle":[182,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[27,247],"circle_positions":430,"cycle_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":[28,248,468,688,908,1128],"clock_positions":[28,248,468,688,908,1128],"native_values":[41,131,256,131,41,346],"rotation_degrees":7.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,131,256,131,41,346],"beta":{"interval_sums":[45254,49604,46974,44874,48264,47454],"interval_residues":[104,154,104,154,104,154],"display_cycle":[104,154,104,154,104,154],"intervals":[{"from_index":28,"to_index":248,"sum":45254,"residue":104},{"from_index":248,"to_index":468,"sum":49604,"residue":154},{"from_index":468,"to_index":688,"sum":46974,"residue":104},{"from_index":688,"to_index":908,"sum":44874,"residue":154},{"from_index":908,"to_index":1128,"sum":48264,"residue":104},{"from_index":1128,"to_index":28,"sum":47454,"residue":154}],"minimal_cycle":[104,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[28,248],"circle_positions":430,"cycle_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":[29,249,469,689,909,1129],"clock_positions":[29,249,469,689,909,1129],"native_values":[379,94,379,309,164,309],"rotation_degrees":7.909090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,94,379,309,164,309],"beta":{"interval_sums":[45006,49766,46726,44606,48446,47186],"interval_residues":[286,316,286,316,286,316],"display_cycle":[286,316,286,316,286,316],"intervals":[{"from_index":29,"to_index":249,"sum":45006,"residue":286},{"from_index":249,"to_index":469,"sum":49766,"residue":316},{"from_index":469,"to_index":689,"sum":46726,"residue":286},{"from_index":689,"to_index":909,"sum":44606,"residue":316},{"from_index":909,"to_index":1129,"sum":48446,"residue":286},{"from_index":1129,"to_index":29,"sum":47186,"residue":316}],"minimal_cycle":[286,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[29,249],"circle_positions":430,"cycle_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":[30,250,470,690,910,1130],"clock_positions":[30,250,470,690,910,1130],"native_values":[420,225,205,10,205,225],"rotation_degrees":8.181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,225,205,10,205,225],"beta":{"interval_sums":[44680,49920,46830,44760,48550,47340],"interval_residues":[390,40,390,40,390,40],"display_cycle":[390,40,390,40,390,40],"intervals":[{"from_index":30,"to_index":250,"sum":44680,"residue":390},{"from_index":250,"to_index":470,"sum":49920,"residue":40},{"from_index":470,"to_index":690,"sum":46830,"residue":390},{"from_index":690,"to_index":910,"sum":44760,"residue":40},{"from_index":910,"to_index":1130,"sum":48550,"residue":390},{"from_index":1130,"to_index":30,"sum":47340,"residue":40}],"minimal_cycle":[390,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[30,250],"circle_positions":430,"cycle_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":[31,251,471,691,911,1131],"clock_positions":[31,251,471,691,911,1131],"native_values":[369,319,154,319,369,104],"rotation_degrees":8.454545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,319,154,319,369,104],"beta":{"interval_sums":[44536,49806,46686,44646,48406,47656],"interval_residues":[246,356,246,356,246,356],"display_cycle":[246,356,246,356,246,356],"intervals":[{"from_index":31,"to_index":251,"sum":44536,"residue":246},{"from_index":251,"to_index":471,"sum":49806,"residue":356},{"from_index":471,"to_index":691,"sum":46686,"residue":246},{"from_index":691,"to_index":911,"sum":44646,"residue":356},{"from_index":911,"to_index":1131,"sum":48406,"residue":246},{"from_index":1131,"to_index":31,"sum":47656,"residue":356}],"minimal_cycle":[246,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[31,251],"circle_positions":430,"cycle_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":[32,252,472,692,912,1132],"clock_positions":[32,252,472,692,912,1132],"native_values":[359,114,359,329,144,329],"rotation_degrees":8.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,114,359,329,144,329],"beta":{"interval_sums":[44496,49846,46646,44686,48366,47696],"interval_residues":[206,396,206,396,206,396],"display_cycle":[206,396,206,396,206,396],"intervals":[{"from_index":32,"to_index":252,"sum":44496,"residue":206},{"from_index":252,"to_index":472,"sum":49846,"residue":396},{"from_index":472,"to_index":692,"sum":46646,"residue":206},{"from_index":692,"to_index":912,"sum":44686,"residue":396},{"from_index":912,"to_index":1132,"sum":48366,"residue":206},{"from_index":1132,"to_index":32,"sum":47696,"residue":396}],"minimal_cycle":[206,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[32,252],"circle_positions":430,"cycle_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":[33,253,473,693,913,1133],"clock_positions":[33,253,473,693,913,1133],"native_values":[298,3,83,218,83,3],"rotation_degrees":9.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,3,83,218,83,3],"beta":{"interval_sums":[44312,50202,46892,44612,48612,48052],"interval_residues":[22,322,22,322,22,322],"display_cycle":[22,322,22,322,22,322],"intervals":[{"from_index":33,"to_index":253,"sum":44312,"residue":22},{"from_index":253,"to_index":473,"sum":50202,"residue":322},{"from_index":473,"to_index":693,"sum":46892,"residue":22},{"from_index":693,"to_index":913,"sum":44612,"residue":322},{"from_index":913,"to_index":1133,"sum":48612,"residue":22},{"from_index":1133,"to_index":33,"sum":48052,"residue":322}],"minimal_cycle":[22,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[33,253],"circle_positions":430,"cycle_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":[34,254,474,694,914,1134],"clock_positions":[34,254,474,694,914,1134],"native_values":[227,117,12,117,227,332],"rotation_degrees":9.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,117,12,117,227,332],"beta":{"interval_sums":[44088,50168,47098,44578,48388,48018],"interval_residues":[228,288,228,288,228,288],"display_cycle":[228,288,228,288,228,288],"intervals":[{"from_index":34,"to_index":254,"sum":44088,"residue":228},{"from_index":254,"to_index":474,"sum":50168,"residue":288},{"from_index":474,"to_index":694,"sum":47098,"residue":228},{"from_index":694,"to_index":914,"sum":44578,"residue":288},{"from_index":914,"to_index":1134,"sum":48388,"residue":228},{"from_index":1134,"to_index":34,"sum":48018,"residue":288}],"minimal_cycle":[228,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[34,254],"circle_positions":430,"cycle_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":[35,255,475,695,915,1135],"clock_positions":[35,255,475,695,915,1135],"native_values":[95,120,95,335,310,335],"rotation_degrees":9.545454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,120,95,335,310,335],"beta":{"interval_sums":[44110,50060,47120,44470,48410,47910],"interval_residues":[250,180,250,180,250,180],"display_cycle":[250,180,250,180,250,180],"intervals":[{"from_index":35,"to_index":255,"sum":44110,"residue":250},{"from_index":255,"to_index":475,"sum":50060,"residue":180},{"from_index":475,"to_index":695,"sum":47120,"residue":250},{"from_index":695,"to_index":915,"sum":44470,"residue":180},{"from_index":915,"to_index":1135,"sum":48410,"residue":250},{"from_index":1135,"to_index":35,"sum":47910,"residue":180}],"minimal_cycle":[250,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[35,255],"circle_positions":430,"cycle_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":[36,256,476,696,916,1136],"clock_positions":[36,256,476,696,916,1136],"native_values":[322,237,107,22,107,237],"rotation_degrees":9.818181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,237,107,22,107,237],"beta":{"interval_sums":[43908,49918,47348,44758,48638,47768],"interval_residues":[48,38,48,38,48,38],"display_cycle":[48,38,48,38,48,38],"intervals":[{"from_index":36,"to_index":256,"sum":43908,"residue":48},{"from_index":256,"to_index":476,"sum":49918,"residue":38},{"from_index":476,"to_index":696,"sum":47348,"residue":48},{"from_index":696,"to_index":916,"sum":44758,"residue":38},{"from_index":916,"to_index":1136,"sum":48638,"residue":48},{"from_index":1136,"to_index":36,"sum":47768,"residue":38}],"minimal_cycle":[48,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[36,256],"circle_positions":430,"cycle_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":[37,257,477,697,917,1137],"clock_positions":[37,257,477,697,917,1137],"native_values":[417,357,202,357,417,142],"rotation_degrees":10.090909090909092,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,357,202,357,417,142],"beta":{"interval_sums":[43728,49668,47168,44508,48458,47948],"interval_residues":[298,218,298,218,298,218],"display_cycle":[298,218,298,218,298,218],"intervals":[{"from_index":37,"to_index":257,"sum":43728,"residue":298},{"from_index":257,"to_index":477,"sum":49668,"residue":218},{"from_index":477,"to_index":697,"sum":47168,"residue":298},{"from_index":697,"to_index":917,"sum":44508,"residue":218},{"from_index":917,"to_index":1137,"sum":48458,"residue":298},{"from_index":1137,"to_index":37,"sum":47948,"residue":218}],"minimal_cycle":[298,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[37,257],"circle_positions":430,"cycle_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":[38,258,478,698,918,1138],"clock_positions":[38,258,478,698,918,1138],"native_values":[309,164,309,379,94,379],"rotation_degrees":10.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,164,309,379,94,379],"beta":{"interval_sums":[43776,49706,47216,44546,48506,47986],"interval_residues":[346,256,346,256,346,256],"display_cycle":[346,256,346,256,346,256],"intervals":[{"from_index":38,"to_index":258,"sum":43776,"residue":346},{"from_index":258,"to_index":478,"sum":49706,"residue":256},{"from_index":478,"to_index":698,"sum":47216,"residue":346},{"from_index":698,"to_index":918,"sum":44546,"residue":256},{"from_index":918,"to_index":1138,"sum":48506,"residue":346},{"from_index":1138,"to_index":38,"sum":47986,"residue":256}],"minimal_cycle":[346,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[38,258],"circle_positions":430,"cycle_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":[39,259,479,699,919,1139],"clock_positions":[39,259,479,699,919,1139],"native_values":[296,91,81,306,81,91],"rotation_degrees":10.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,91,81,306,81,91],"beta":{"interval_sums":[43644,49924,47514,44334,48804,48204],"interval_residues":[214,44,214,44,214,44],"display_cycle":[214,44,214,44,214,44],"intervals":[{"from_index":39,"to_index":259,"sum":43644,"residue":214},{"from_index":259,"to_index":479,"sum":49924,"residue":44},{"from_index":479,"to_index":699,"sum":47514,"residue":214},{"from_index":699,"to_index":919,"sum":44334,"residue":44},{"from_index":919,"to_index":1139,"sum":48804,"residue":214},{"from_index":1139,"to_index":39,"sum":48204,"residue":44}],"minimal_cycle":[214,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[39,259],"circle_positions":430,"cycle_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":[40,260,480,700,920,1140],"clock_positions":[40,260,480,700,920,1140],"native_values":[175,255,390,255,175,40],"rotation_degrees":10.909090909090908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,255,390,255,175,40],"beta":{"interval_sums":[43560,49750,47430,44160,48720,48460],"interval_residues":[130,300,130,300,130,300],"display_cycle":[130,300,130,300,130,300],"intervals":[{"from_index":40,"to_index":260,"sum":43560,"residue":130},{"from_index":260,"to_index":480,"sum":49750,"residue":300},{"from_index":480,"to_index":700,"sum":47430,"residue":130},{"from_index":700,"to_index":920,"sum":44160,"residue":300},{"from_index":920,"to_index":1140,"sum":48720,"residue":130},{"from_index":1140,"to_index":40,"sum":48460,"residue":300}],"minimal_cycle":[130,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[40,260],"circle_positions":430,"cycle_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":[41,261,481,701,921,1141],"clock_positions":[41,261,481,701,921,1141],"native_values":[41,346,41,131,256,131],"rotation_degrees":11.181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,346,41,131,256,131],"beta":{"interval_sums":[43774,49794,47644,44204,48504,48504],"interval_residues":[344,344,344,344,344,344],"display_cycle":[344,344,344,344,344,344],"intervals":[{"from_index":41,"to_index":261,"sum":43774,"residue":344},{"from_index":261,"to_index":481,"sum":49794,"residue":344},{"from_index":481,"to_index":701,"sum":47644,"residue":344},{"from_index":701,"to_index":921,"sum":44204,"residue":344},{"from_index":921,"to_index":1141,"sum":48504,"residue":344},{"from_index":1141,"to_index":41,"sum":48504,"residue":344}],"minimal_cycle":[344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[41,261],"circle_positions":430,"cycle_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":[42,262,482,702,922,1142],"clock_positions":[42,262,482,702,922,1142],"native_values":[216,171,1,386,1,171],"rotation_degrees":11.454545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,171,1,386,1,171],"beta":{"interval_sums":[43904,49664,47774,44074,48634,48374],"interval_residues":[44,214,44,214,44,214],"display_cycle":[44,214,44,214,44,214],"intervals":[{"from_index":42,"to_index":262,"sum":43904,"residue":44},{"from_index":262,"to_index":482,"sum":49664,"residue":214},{"from_index":482,"to_index":702,"sum":47774,"residue":44},{"from_index":702,"to_index":922,"sum":44074,"residue":214},{"from_index":922,"to_index":1142,"sum":48634,"residue":44},{"from_index":1142,"to_index":42,"sum":48374,"residue":214}],"minimal_cycle":[44,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[42,262],"circle_positions":430,"cycle_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":[43,263,483,703,923,1143],"clock_positions":[43,263,483,703,923,1143],"native_values":[257,87,42,87,257,302],"rotation_degrees":11.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,87,42,87,257,302],"beta":{"interval_sums":[43818,49578,48118,43988,48548,48288],"interval_residues":[388,128,388,128,388,128],"display_cycle":[388,128,388,128,388,128],"intervals":[{"from_index":43,"to_index":263,"sum":43818,"residue":388},{"from_index":263,"to_index":483,"sum":49578,"residue":128},{"from_index":483,"to_index":703,"sum":48118,"residue":388},{"from_index":703,"to_index":923,"sum":43988,"residue":128},{"from_index":923,"to_index":1143,"sum":48548,"residue":388},{"from_index":1143,"to_index":43,"sum":48288,"residue":128}],"minimal_cycle":[388,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[43,263],"circle_positions":430,"cycle_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":[44,264,484,704,924,1144],"clock_positions":[44,264,484,704,924,1144],"native_values":[43,258,43,43,258,43],"rotation_degrees":12.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[43,258,43],"beta":{"interval_sums":[43862,49362,48162,44202,48592,48502],"interval_residues":[2,342,2,342,2,342],"display_cycle":[2,342,2,342,2,342],"intervals":[{"from_index":44,"to_index":264,"sum":43862,"residue":2},{"from_index":264,"to_index":484,"sum":49362,"residue":342},{"from_index":484,"to_index":704,"sum":48162,"residue":2},{"from_index":704,"to_index":924,"sum":44202,"residue":342},{"from_index":924,"to_index":1144,"sum":48592,"residue":2},{"from_index":1144,"to_index":44,"sum":48502,"residue":342}],"minimal_cycle":[2,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[44,264],"circle_positions":430,"cycle_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":[45,265,485,705,925,1145],"clock_positions":[45,265,485,705,925,1145],"native_values":[300,345,85,130,85,345],"rotation_degrees":12.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,345,85,130,85,345],"beta":{"interval_sums":[43820,49060,48120,44330,48550,48200],"interval_residues":[390,40,390,40,390,40],"display_cycle":[390,40,390,40,390,40],"intervals":[{"from_index":45,"to_index":265,"sum":43820,"residue":390},{"from_index":265,"to_index":485,"sum":49060,"residue":40},{"from_index":485,"to_index":705,"sum":48120,"residue":390},{"from_index":705,"to_index":925,"sum":44330,"residue":40},{"from_index":925,"to_index":1145,"sum":48550,"residue":390},{"from_index":1145,"to_index":45,"sum":48200,"residue":40}],"minimal_cycle":[390,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[45,265],"circle_positions":430,"cycle_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":[46,266,486,706,926,1146],"clock_positions":[46,266,486,706,926,1146],"native_values":[343,173,128,173,343,388],"rotation_degrees":12.545454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,173,128,173,343,388],"beta":{"interval_sums":[43822,48972,48122,44242,48552,48112],"interval_residues":[392,382,392,382,392,382],"display_cycle":[392,382,392,382,392,382],"intervals":[{"from_index":46,"to_index":266,"sum":43822,"residue":392},{"from_index":266,"to_index":486,"sum":48972,"residue":382},{"from_index":486,"to_index":706,"sum":48122,"residue":392},{"from_index":706,"to_index":926,"sum":44242,"residue":382},{"from_index":926,"to_index":1146,"sum":48552,"residue":392},{"from_index":1146,"to_index":46,"sum":48112,"residue":382}],"minimal_cycle":[392,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[46,266],"circle_positions":430,"cycle_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":[47,267,487,707,927,1147],"clock_positions":[47,267,487,707,927,1147],"native_values":[213,88,213,303,428,303],"rotation_degrees":12.818181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,88,213,303,428,303],"beta":{"interval_sums":[43782,49012,48082,44282,48512,48152],"interval_residues":[352,422,352,422,352,422],"display_cycle":[352,422,352,422,352,422],"intervals":[{"from_index":47,"to_index":267,"sum":43782,"residue":352},{"from_index":267,"to_index":487,"sum":49012,"residue":422},{"from_index":487,"to_index":707,"sum":48082,"residue":352},{"from_index":707,"to_index":927,"sum":44282,"residue":422},{"from_index":927,"to_index":1147,"sum":48512,"residue":352},{"from_index":1147,"to_index":47,"sum":48152,"residue":422}],"minimal_cycle":[352,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[47,267],"circle_positions":430,"cycle_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":[48,268,488,708,928,1148],"clock_positions":[48,268,488,708,928,1148],"native_values":[126,261,341,46,341,261],"rotation_degrees":13.090909090909092,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,261,341,46,341,261],"beta":{"interval_sums":[43744,48964,48044,44664,48474,48104],"interval_residues":[314,374,314,374,314,374],"display_cycle":[314,374,314,374,314,374],"intervals":[{"from_index":48,"to_index":268,"sum":43744,"residue":314},{"from_index":268,"to_index":488,"sum":48964,"residue":374},{"from_index":488,"to_index":708,"sum":48044,"residue":314},{"from_index":708,"to_index":928,"sum":44664,"residue":374},{"from_index":928,"to_index":1148,"sum":48474,"residue":314},{"from_index":1148,"to_index":48,"sum":48104,"residue":374}],"minimal_cycle":[314,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[48,268],"circle_positions":430,"cycle_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":[49,269,489,709,929,1149],"clock_positions":[49,269,489,709,929,1149],"native_values":[339,349,124,349,339,134],"rotation_degrees":13.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,349,124,349,339,134],"beta":{"interval_sums":[43666,48956,47966,44656,48396,48096],"interval_residues":[236,366,236,366,236,366],"display_cycle":[236,366,236,366,236,366],"intervals":[{"from_index":49,"to_index":269,"sum":43666,"residue":236},{"from_index":269,"to_index":489,"sum":48956,"residue":366},{"from_index":489,"to_index":709,"sum":47966,"residue":236},{"from_index":709,"to_index":929,"sum":44656,"residue":366},{"from_index":929,"to_index":1149,"sum":48396,"residue":236},{"from_index":1149,"to_index":49,"sum":48096,"residue":366}],"minimal_cycle":[236,366],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[49,269],"circle_positions":430,"cycle_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":[50,270,490,710,930,1150],"clock_positions":[50,270,490,710,930,1150],"native_values":[35,180,35,395,250,395],"rotation_degrees":13.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,180,35,395,250,395],"beta":{"interval_sums":[43980,48900,48280,44600,48280,48040],"interval_residues":[120,310,120,310,120,310],"display_cycle":[120,310,120,310,120,310],"intervals":[{"from_index":50,"to_index":270,"sum":43980,"residue":120},{"from_index":270,"to_index":490,"sum":48900,"residue":310},{"from_index":490,"to_index":710,"sum":48280,"residue":120},{"from_index":710,"to_index":930,"sum":44600,"residue":310},{"from_index":930,"to_index":1150,"sum":48280,"residue":120},{"from_index":1150,"to_index":50,"sum":48040,"residue":310}],"minimal_cycle":[120,310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[50,270],"circle_positions":430,"cycle_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":[51,271,491,711,931,1151],"clock_positions":[51,271,491,711,931,1151],"native_values":[374,99,159,314,159,99],"rotation_degrees":13.909090909090908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,99,159,314,159,99],"beta":{"interval_sums":[43786,48836,48516,44536,48516,47976],"interval_residues":[356,246,356,246,356,246],"display_cycle":[356,246,356,246,356,246],"intervals":[{"from_index":51,"to_index":271,"sum":43786,"residue":356},{"from_index":271,"to_index":491,"sum":48836,"residue":246},{"from_index":491,"to_index":711,"sum":48516,"residue":356},{"from_index":711,"to_index":931,"sum":44536,"residue":246},{"from_index":931,"to_index":1151,"sum":48516,"residue":356},{"from_index":1151,"to_index":51,"sum":47976,"residue":246}],"minimal_cycle":[356,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[51,271],"circle_positions":430,"cycle_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":[52,272,492,712,932,1152],"clock_positions":[52,272,492,712,932,1152],"native_values":[409,279,194,279,409,64],"rotation_degrees":14.181818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[409,279,194,279,409,64],"beta":{"interval_sums":[43476,48716,48636,44416,48206,48286],"interval_residues":[46,126,46,126,46,126],"display_cycle":[46,126,46,126,46,126],"intervals":[{"from_index":52,"to_index":272,"sum":43476,"residue":46},{"from_index":272,"to_index":492,"sum":48716,"residue":126},{"from_index":492,"to_index":712,"sum":48636,"residue":46},{"from_index":712,"to_index":932,"sum":44416,"residue":126},{"from_index":932,"to_index":1152,"sum":48206,"residue":46},{"from_index":1152,"to_index":52,"sum":48286,"residue":126}],"minimal_cycle":[46,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[52,272],"circle_positions":430,"cycle_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":[53,273,493,713,933,1153],"clock_positions":[53,273,493,713,933,1153],"native_values":[353,378,353,163,138,163],"rotation_degrees":14.454545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,378,353,163,138,163],"beta":{"interval_sums":[43402,48532,48562,44662,48132,48532],"interval_residues":[402,372,402,372,402,372],"display_cycle":[402,372,402,372,402,372],"intervals":[{"from_index":53,"to_index":273,"sum":43402,"residue":402},{"from_index":273,"to_index":493,"sum":48532,"residue":372},{"from_index":493,"to_index":713,"sum":48562,"residue":402},{"from_index":713,"to_index":933,"sum":44662,"residue":372},{"from_index":933,"to_index":1153,"sum":48132,"residue":402},{"from_index":1153,"to_index":53,"sum":48532,"residue":372}],"minimal_cycle":[402,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[53,273],"circle_positions":430,"cycle_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":[54,274,494,714,934,1154],"clock_positions":[54,274,494,714,934,1154],"native_values":[332,227,117,12,117,227],"rotation_degrees":14.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,227,117,12,117,227],"beta":{"interval_sums":[43448,48658,48608,44788,48178,48658],"interval_residues":[18,68,18,68,18,68],"display_cycle":[18,68,18,68,18,68],"intervals":[{"from_index":54,"to_index":274,"sum":43448,"residue":18},{"from_index":274,"to_index":494,"sum":48658,"residue":68},{"from_index":494,"to_index":714,"sum":48608,"residue":18},{"from_index":714,"to_index":934,"sum":44788,"residue":68},{"from_index":934,"to_index":1154,"sum":48178,"residue":18},{"from_index":1154,"to_index":54,"sum":48658,"residue":68}],"minimal_cycle":[18,68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[54,274],"circle_positions":430,"cycle_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":[55,275,495,715,935,1155],"clock_positions":[55,275,495,715,935,1155],"native_values":[255,175,40,175,255,390],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,175,40,175,255,390],"beta":{"interval_sums":[43420,48600,48580,44730,48150,48600],"interval_residues":[420,10,420,10,420,10],"display_cycle":[420,10,420,10,420,10],"intervals":[{"from_index":55,"to_index":275,"sum":43420,"residue":420},{"from_index":275,"to_index":495,"sum":48600,"residue":10},{"from_index":495,"to_index":715,"sum":48580,"residue":420},{"from_index":715,"to_index":935,"sum":44730,"residue":10},{"from_index":935,"to_index":1155,"sum":48150,"residue":420},{"from_index":1155,"to_index":55,"sum":48600,"residue":10}],"minimal_cycle":[420,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[55,275],"circle_positions":430,"cycle_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":[56,276,496,716,936,1156],"clock_positions":[56,276,496,716,936,1156],"native_values":[157,402,157,187,372,187],"rotation_degrees":15.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,402,157,187,372,187],"beta":{"interval_sums":[43438,48238,48598,44798,48168,48668],"interval_residues":[8,78,8,78,8,78],"display_cycle":[8,78,8,78,8,78],"intervals":[{"from_index":56,"to_index":276,"sum":43438,"residue":8},{"from_index":276,"to_index":496,"sum":48238,"residue":78},{"from_index":496,"to_index":716,"sum":48598,"residue":8},{"from_index":716,"to_index":936,"sum":44798,"residue":78},{"from_index":936,"to_index":1156,"sum":48168,"residue":8},{"from_index":1156,"to_index":56,"sum":48668,"residue":78}],"minimal_cycle":[8,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[56,276],"circle_positions":430,"cycle_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":[57,277,497,717,937,1157],"clock_positions":[57,277,497,717,937,1157],"native_values":[412,147,197,362,197,147],"rotation_degrees":15.545454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,147,197,362,197,147],"beta":{"interval_sums":[43428,48248,48588,44808,48158,48678],"interval_residues":[428,88,428,88,428,88],"display_cycle":[428,88,428,88,428,88],"intervals":[{"from_index":57,"to_index":277,"sum":43428,"residue":428},{"from_index":277,"to_index":497,"sum":48248,"residue":88},{"from_index":497,"to_index":717,"sum":48588,"residue":428},{"from_index":717,"to_index":937,"sum":44808,"residue":88},{"from_index":937,"to_index":1157,"sum":48158,"residue":428},{"from_index":1157,"to_index":57,"sum":48678,"residue":88}],"minimal_cycle":[428,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[57,277],"circle_positions":430,"cycle_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":[58,278,498,718,938,1158],"clock_positions":[58,278,498,718,938,1158],"native_values":[139,119,354,119,139,334],"rotation_degrees":15.818181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,119,354,119,139,334],"beta":{"interval_sums":[43436,48326,48596,44886,48166,48756],"interval_residues":[6,166,6,166,6,166],"display_cycle":[6,166,6,166,6,166],"intervals":[{"from_index":58,"to_index":278,"sum":43436,"residue":6},{"from_index":278,"to_index":498,"sum":48326,"residue":166},{"from_index":498,"to_index":718,"sum":48596,"residue":6},{"from_index":718,"to_index":938,"sum":44886,"residue":166},{"from_index":938,"to_index":1158,"sum":48166,"residue":6},{"from_index":1158,"to_index":58,"sum":48756,"residue":166}],"minimal_cycle":[6,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[58,278],"circle_positions":430,"cycle_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":[59,279,499,719,939,1159],"clock_positions":[59,279,499,719,939,1159],"native_values":[121,266,121,51,336,51],"rotation_degrees":16.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,266,121,51,336,51],"beta":{"interval_sums":[43434,48414,48594,44974,48164,48844],"interval_residues":[4,254,4,254,4,254],"display_cycle":[4,254,4,254,4,254],"intervals":[{"from_index":59,"to_index":279,"sum":43434,"residue":4},{"from_index":279,"to_index":499,"sum":48414,"residue":254},{"from_index":499,"to_index":719,"sum":48594,"residue":4},{"from_index":719,"to_index":939,"sum":44974,"residue":254},{"from_index":939,"to_index":1159,"sum":48164,"residue":4},{"from_index":1159,"to_index":59,"sum":48844,"residue":254}],"minimal_cycle":[4,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[59,279],"circle_positions":430,"cycle_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":[60,280,500,720,940,1160],"clock_positions":[60,280,500,720,940,1160],"native_values":[260,385,45,170,45,385],"rotation_degrees":16.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,385,45,170,45,385],"beta":{"interval_sums":[43440,48150,48600,45140,48170,48580],"interval_residues":[10,420,10,420,10,420],"display_cycle":[10,420,10,420,10,420],"intervals":[{"from_index":60,"to_index":280,"sum":43440,"residue":10},{"from_index":280,"to_index":500,"sum":48150,"residue":420},{"from_index":500,"to_index":720,"sum":48600,"residue":10},{"from_index":720,"to_index":940,"sum":45140,"residue":420},{"from_index":940,"to_index":1160,"sum":48170,"residue":10},{"from_index":1160,"to_index":60,"sum":48580,"residue":420}],"minimal_cycle":[10,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[60,280],"circle_positions":430,"cycle_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":[61,281,501,721,941,1161],"clock_positions":[61,281,501,721,941,1161],"native_values":[381,221,166,221,381,6],"rotation_degrees":16.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,221,166,221,381,6],"beta":{"interval_sums":[43444,47974,48604,44964,48174,48834],"interval_residues":[14,244,14,244,14,244],"display_cycle":[14,244,14,244,14,244],"intervals":[{"from_index":61,"to_index":281,"sum":43444,"residue":14},{"from_index":281,"to_index":501,"sum":47974,"residue":244},{"from_index":501,"to_index":721,"sum":48604,"residue":14},{"from_index":721,"to_index":941,"sum":44964,"residue":244},{"from_index":941,"to_index":1161,"sum":48174,"residue":14},{"from_index":1161,"to_index":61,"sum":48834,"residue":244}],"minimal_cycle":[14,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[61,281],"circle_positions":430,"cycle_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":[62,282,502,722,942,1162],"clock_positions":[62,282,502,722,942,1162],"native_values":[211,176,211,391,426,391],"rotation_degrees":16.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,176,211,391,426,391],"beta":{"interval_sums":[43454,47964,48614,44954,47754,48824],"interval_residues":[24,234,24,234,24,234],"display_cycle":[24,234,24,234,24,234],"intervals":[{"from_index":62,"to_index":282,"sum":43454,"residue":24},{"from_index":282,"to_index":502,"sum":47964,"residue":234},{"from_index":502,"to_index":722,"sum":48614,"residue":24},{"from_index":722,"to_index":942,"sum":44954,"residue":234},{"from_index":942,"to_index":1162,"sum":47754,"residue":24},{"from_index":1162,"to_index":62,"sum":48824,"residue":234}],"minimal_cycle":[24,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[62,282],"circle_positions":430,"cycle_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":[63,283,503,723,943,1163],"clock_positions":[63,283,503,723,943,1163],"native_values":[162,397,377,182,377,397],"rotation_degrees":17.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,397,377,182,377,397],"beta":{"interval_sums":[43468,47778,48628,45198,47768,48638],"interval_residues":[38,48,38,48,38,48],"display_cycle":[38,48,38,48,38,48],"intervals":[{"from_index":63,"to_index":283,"sum":43468,"residue":38},{"from_index":283,"to_index":503,"sum":47778,"residue":48},{"from_index":503,"to_index":723,"sum":48628,"residue":38},{"from_index":723,"to_index":943,"sum":45198,"residue":48},{"from_index":943,"to_index":1163,"sum":47768,"residue":38},{"from_index":1163,"to_index":63,"sum":48638,"residue":48}],"minimal_cycle":[38,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[63,283],"circle_positions":430,"cycle_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":[64,284,504,724,944,1164],"clock_positions":[64,284,504,724,944,1164],"native_values":[373,143,158,143,373,358],"rotation_degrees":17.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,143,158,143,373,358],"beta":{"interval_sums":[43492,48012,48652,45432,47792,48442],"interval_residues":[62,282,62,282,62,282],"display_cycle":[62,282,62,282,62,282],"intervals":[{"from_index":64,"to_index":284,"sum":43492,"residue":62},{"from_index":284,"to_index":504,"sum":48012,"residue":282},{"from_index":504,"to_index":724,"sum":48652,"residue":62},{"from_index":724,"to_index":944,"sum":45432,"residue":282},{"from_index":944,"to_index":1164,"sum":47792,"residue":62},{"from_index":1164,"to_index":64,"sum":48442,"residue":282}],"minimal_cycle":[62,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[64,284],"circle_positions":430,"cycle_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":[65,285,505,725,945,1165],"clock_positions":[65,285,505,725,945,1165],"native_values":[105,110,105,325,320,325],"rotation_degrees":17.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,110,105,325,320,325],"beta":{"interval_sums":[43530,48060,48690,45480,47830,48490],"interval_residues":[100,330,100,330,100,330],"display_cycle":[100,330,100,330,100,330],"intervals":[{"from_index":65,"to_index":285,"sum":43530,"residue":100},{"from_index":285,"to_index":505,"sum":48060,"residue":330},{"from_index":505,"to_index":725,"sum":48690,"residue":100},{"from_index":725,"to_index":945,"sum":45480,"residue":330},{"from_index":945,"to_index":1165,"sum":47830,"residue":100},{"from_index":1165,"to_index":65,"sum":48490,"residue":330}],"minimal_cycle":[100,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[65,285],"circle_positions":430,"cycle_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":[66,286,506,726,946,1166],"clock_positions":[66,286,506,726,946,1166],"native_values":[48,253,263,38,263,253],"rotation_degrees":18.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,253,263,38,263,253],"beta":{"interval_sums":[43592,47912,48752,45762,47892,48342],"interval_residues":[162,182,162,182,162,182],"display_cycle":[162,182,162,182,162,182],"intervals":[{"from_index":66,"to_index":286,"sum":43592,"residue":162},{"from_index":286,"to_index":506,"sum":47912,"residue":182},{"from_index":506,"to_index":726,"sum":48752,"residue":162},{"from_index":726,"to_index":946,"sum":45762,"residue":182},{"from_index":946,"to_index":1166,"sum":47892,"residue":162},{"from_index":1166,"to_index":66,"sum":48342,"residue":182}],"minimal_cycle":[162,182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[66,286],"circle_positions":430,"cycle_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":[67,287,507,727,947,1167],"clock_positions":[67,287,507,727,947,1167],"native_values":[153,363,368,363,153,148],"rotation_degrees":18.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,363,368,363,153,148],"beta":{"interval_sums":[43692,47812,48422,45662,47992,48242],"interval_residues":[262,82,262,82,262,82],"display_cycle":[262,82,262,82,262,82],"intervals":[{"from_index":67,"to_index":287,"sum":43692,"residue":262},{"from_index":287,"to_index":507,"sum":47812,"residue":82},{"from_index":507,"to_index":727,"sum":48422,"residue":262},{"from_index":727,"to_index":947,"sum":45662,"residue":82},{"from_index":947,"to_index":1167,"sum":47992,"residue":262},{"from_index":1167,"to_index":67,"sum":48242,"residue":82}],"minimal_cycle":[262,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[67,287],"circle_positions":430,"cycle_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":[68,288,508,728,948,1168],"clock_positions":[68,288,508,728,948,1168],"native_values":[201,186,201,401,416,401],"rotation_degrees":18.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,186,201,401,416,401],"beta":{"interval_sums":[43854,47994,48584,45414,47724,47994],"interval_residues":[424,264,424,264,424,264],"display_cycle":[424,264,424,264,424,264],"intervals":[{"from_index":68,"to_index":288,"sum":43854,"residue":424},{"from_index":288,"to_index":508,"sum":47994,"residue":264},{"from_index":508,"to_index":728,"sum":48584,"residue":424},{"from_index":728,"to_index":948,"sum":45414,"residue":264},{"from_index":948,"to_index":1168,"sum":47724,"residue":424},{"from_index":1168,"to_index":68,"sum":47994,"residue":264}],"minimal_cycle":[424,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[68,288],"circle_positions":430,"cycle_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":[69,289,509,729,949,1169],"clock_positions":[69,289,509,729,949,1169],"native_values":[354,119,139,334,139,119],"rotation_degrees":18.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,119,139,334,139,119],"beta":{"interval_sums":[43686,48076,48846,45496,47986,48076],"interval_residues":[256,346,256,346,256,346],"display_cycle":[256,346,256,346,256,346],"intervals":[{"from_index":69,"to_index":289,"sum":43686,"residue":256},{"from_index":289,"to_index":509,"sum":48076,"residue":346},{"from_index":509,"to_index":729,"sum":48846,"residue":256},{"from_index":729,"to_index":949,"sum":45496,"residue":346},{"from_index":949,"to_index":1169,"sum":47986,"residue":256},{"from_index":1169,"to_index":69,"sum":48076,"residue":346}],"minimal_cycle":[256,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[69,289],"circle_positions":430,"cycle_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":[70,290,510,730,950,1170],"clock_positions":[70,290,510,730,950,1170],"native_values":[125,305,340,305,125,90],"rotation_degrees":19.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,305,340,305,125,90],"beta":{"interval_sums":[43680,47910,48840,45330,47980,48340],"interval_residues":[250,180,250,180,250,180],"display_cycle":[250,180,250,180,250,180],"intervals":[{"from_index":70,"to_index":290,"sum":43680,"residue":250},{"from_index":290,"to_index":510,"sum":47910,"residue":180},{"from_index":510,"to_index":730,"sum":48840,"residue":250},{"from_index":730,"to_index":950,"sum":45330,"residue":180},{"from_index":950,"to_index":1170,"sum":47980,"residue":250},{"from_index":1170,"to_index":70,"sum":48340,"residue":180}],"minimal_cycle":[250,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[70,290],"circle_positions":430,"cycle_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":[71,291,511,731,951,1171],"clock_positions":[71,291,511,731,951,1171],"native_values":[49,424,49,209,264,209],"rotation_degrees":19.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,424,49,209,264,209],"beta":{"interval_sums":[43936,47826,49096,45246,47806,48256],"interval_residues":[76,96,76,96,76,96],"display_cycle":[76,96,76,96,76,96],"intervals":[{"from_index":71,"to_index":291,"sum":43936,"residue":76},{"from_index":291,"to_index":511,"sum":47826,"residue":96},{"from_index":511,"to_index":731,"sum":49096,"residue":76},{"from_index":731,"to_index":951,"sum":45246,"residue":96},{"from_index":951,"to_index":1171,"sum":47806,"residue":76},{"from_index":1171,"to_index":71,"sum":48256,"residue":96}],"minimal_cycle":[76,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[71,291],"circle_positions":430,"cycle_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":[72,292,512,732,952,1172],"clock_positions":[72,292,512,732,952,1172],"native_values":[174,299,389,84,389,299],"rotation_degrees":19.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,299,389,84,389,299],"beta":{"interval_sums":[44186,47576,48916,45426,47626,48006],"interval_residues":[326,276,326,276,326,276],"display_cycle":[326,276,326,276,326,276],"intervals":[{"from_index":72,"to_index":292,"sum":44186,"residue":326},{"from_index":292,"to_index":512,"sum":47576,"residue":276},{"from_index":512,"to_index":732,"sum":48916,"residue":326},{"from_index":732,"to_index":952,"sum":45426,"residue":276},{"from_index":952,"to_index":1172,"sum":47626,"residue":326},{"from_index":1172,"to_index":72,"sum":48006,"residue":276}],"minimal_cycle":[326,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[72,292],"circle_positions":430,"cycle_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":[73,293,513,733,953,1173],"clock_positions":[73,293,513,733,953,1173],"native_values":[223,293,8,293,223,78],"rotation_degrees":19.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,293,8,293,223,78],"beta":{"interval_sums":[44262,47672,48992,45522,47702,48102],"interval_residues":[402,372,402,372,402,372],"display_cycle":[402,372,402,372,402,372],"intervals":[{"from_index":73,"to_index":293,"sum":44262,"residue":402},{"from_index":293,"to_index":513,"sum":47672,"residue":372},{"from_index":513,"to_index":733,"sum":48992,"residue":402},{"from_index":733,"to_index":953,"sum":45522,"residue":372},{"from_index":953,"to_index":1173,"sum":47702,"residue":402},{"from_index":1173,"to_index":73,"sum":48102,"residue":372}],"minimal_cycle":[402,372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[73,293],"circle_positions":430,"cycle_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":[74,294,514,734,954,1174],"clock_positions":[74,294,514,734,954,1174],"native_values":[397,162,397,377,182,377],"rotation_degrees":20.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,162,397,377,182,377],"beta":{"interval_sums":[44158,47518,48888,45368,47598,47948],"interval_residues":[298,218,298,218,298,218],"display_cycle":[298,218,298,218,298,218],"intervals":[{"from_index":74,"to_index":294,"sum":44158,"residue":298},{"from_index":294,"to_index":514,"sum":47518,"residue":218},{"from_index":514,"to_index":734,"sum":48888,"residue":298},{"from_index":734,"to_index":954,"sum":45368,"residue":218},{"from_index":954,"to_index":1174,"sum":47598,"residue":298},{"from_index":1174,"to_index":74,"sum":47948,"residue":218}],"minimal_cycle":[298,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[74,294],"circle_positions":430,"cycle_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":[75,295,515,735,955,1175],"clock_positions":[75,295,515,735,955,1175],"native_values":[190,25,405,240,405,25],"rotation_degrees":20.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,25,405,240,405,25],"beta":{"interval_sums":[44130,47890,48860,45310,47570,48320],"interval_residues":[270,160,270,160,270,160],"display_cycle":[270,160,270,160,270,160],"intervals":[{"from_index":75,"to_index":295,"sum":44130,"residue":270},{"from_index":295,"to_index":515,"sum":47890,"residue":160},{"from_index":515,"to_index":735,"sum":48860,"residue":270},{"from_index":735,"to_index":955,"sum":45310,"residue":160},{"from_index":955,"to_index":1175,"sum":47570,"residue":270},{"from_index":1175,"to_index":75,"sum":48320,"residue":160}],"minimal_cycle":[270,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[75,295],"circle_positions":430,"cycle_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":[76,296,516,736,956,1176],"clock_positions":[76,296,516,736,956,1176],"native_values":[157,187,372,187,157,402],"rotation_degrees":20.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,187,372,187,157,402],"beta":{"interval_sums":[43998,48108,48728,45528,47438,48108],"interval_residues":[138,378,138,378,138,378],"display_cycle":[138,378,138,378,138,378],"intervals":[{"from_index":76,"to_index":296,"sum":43998,"residue":138},{"from_index":296,"to_index":516,"sum":48108,"residue":378},{"from_index":516,"to_index":736,"sum":48728,"residue":138},{"from_index":736,"to_index":956,"sum":45528,"residue":378},{"from_index":956,"to_index":1176,"sum":47438,"residue":138},{"from_index":1176,"to_index":76,"sum":48108,"residue":378}],"minimal_cycle":[138,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[76,296],"circle_positions":430,"cycle_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":[77,297,517,737,957,1177],"clock_positions":[77,297,517,737,957,1177],"native_values":[347,212,347,427,132,427],"rotation_degrees":21.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,212,347,427,132,427],"beta":{"interval_sums":[43838,48268,48568,45258,47708,47838],"interval_residues":[408,108,408,108,408,108],"display_cycle":[408,108,408,108,408,108],"intervals":[{"from_index":77,"to_index":297,"sum":43838,"residue":408},{"from_index":297,"to_index":517,"sum":48268,"residue":108},{"from_index":517,"to_index":737,"sum":48568,"residue":408},{"from_index":737,"to_index":957,"sum":45258,"residue":108},{"from_index":957,"to_index":1177,"sum":47708,"residue":408},{"from_index":1177,"to_index":77,"sum":47838,"residue":108}],"minimal_cycle":[408,108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[77,297],"circle_positions":430,"cycle_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":[78,298,518,738,958,1178],"clock_positions":[78,298,518,738,958,1178],"native_values":[74,399,289,184,289,399],"rotation_degrees":21.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,399,289,184,289,399],"beta":{"interval_sums":[43976,48216,48706,45206,47846,47786],"interval_residues":[116,56,116,56,116,56],"display_cycle":[116,56,116,56,116,56],"intervals":[{"from_index":78,"to_index":298,"sum":43976,"residue":116},{"from_index":298,"to_index":518,"sum":48216,"residue":56},{"from_index":518,"to_index":738,"sum":48706,"residue":116},{"from_index":738,"to_index":958,"sum":45206,"residue":56},{"from_index":958,"to_index":1178,"sum":47846,"residue":116},{"from_index":1178,"to_index":78,"sum":47786,"residue":56}],"minimal_cycle":[116,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[78,298],"circle_positions":430,"cycle_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":[79,299,519,739,959,1179],"clock_positions":[79,299,519,739,959,1179],"native_values":[421,181,206,181,421,396],"rotation_degrees":21.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,181,206,181,421,396],"beta":{"interval_sums":[43954,48324,48684,45314,47824,47464],"interval_residues":[94,164,94,164,94,164],"display_cycle":[94,164,94,164,94,164],"intervals":[{"from_index":79,"to_index":299,"sum":43954,"residue":94},{"from_index":299,"to_index":519,"sum":48324,"residue":164},{"from_index":519,"to_index":739,"sum":48684,"residue":94},{"from_index":739,"to_index":959,"sum":45314,"residue":164},{"from_index":959,"to_index":1179,"sum":47824,"residue":94},{"from_index":1179,"to_index":79,"sum":47464,"residue":164}],"minimal_cycle":[94,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[79,299],"circle_positions":430,"cycle_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":[80,300,520,740,960,1180],"clock_positions":[80,300,520,740,960,1180],"native_values":[65,150,65,365,280,365],"rotation_degrees":21.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,150,65,365,280,365],"beta":{"interval_sums":[44070,48380,48800,45370,47940,47520],"interval_residues":[210,220,210,220,210,220],"display_cycle":[210,220,210,220,210,220],"intervals":[{"from_index":80,"to_index":300,"sum":44070,"residue":210},{"from_index":300,"to_index":520,"sum":48380,"residue":220},{"from_index":520,"to_index":740,"sum":48800,"residue":210},{"from_index":740,"to_index":960,"sum":45370,"residue":220},{"from_index":960,"to_index":1180,"sum":47940,"residue":210},{"from_index":1180,"to_index":80,"sum":47520,"residue":220}],"minimal_cycle":[210,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[80,300],"circle_positions":430,"cycle_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":[81,301,521,741,961,1181],"clock_positions":[81,301,521,741,961,1181],"native_values":[56,331,271,116,271,331],"rotation_degrees":22.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,331,271,116,271,331],"beta":{"interval_sums":[44164,48114,48894,45534,48034,47254],"interval_residues":[304,384,304,384,304,384],"display_cycle":[304,384,304,384,304,384],"intervals":[{"from_index":81,"to_index":301,"sum":44164,"residue":304},{"from_index":301,"to_index":521,"sum":48114,"residue":384},{"from_index":521,"to_index":741,"sum":48894,"residue":304},{"from_index":741,"to_index":961,"sum":45534,"residue":384},{"from_index":961,"to_index":1181,"sum":48034,"residue":304},{"from_index":1181,"to_index":81,"sum":47254,"residue":384}],"minimal_cycle":[304,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[81,301],"circle_positions":430,"cycle_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":[82,302,522,742,962,1182],"clock_positions":[82,302,522,742,962,1182],"native_values":[121,51,336,51,121,266],"rotation_degrees":22.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,51,336,51,121,266],"beta":{"interval_sums":[44374,48334,48674,45754,48244,47044],"interval_residues":[84,174,84,174,84,174],"display_cycle":[84,174,84,174,84,174],"intervals":[{"from_index":82,"to_index":302,"sum":44374,"residue":84},{"from_index":302,"to_index":522,"sum":48334,"residue":174},{"from_index":522,"to_index":742,"sum":48674,"residue":84},{"from_index":742,"to_index":962,"sum":45754,"residue":174},{"from_index":962,"to_index":1182,"sum":48244,"residue":84},{"from_index":1182,"to_index":82,"sum":47044,"residue":174}],"minimal_cycle":[84,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[82,302],"circle_positions":430,"cycle_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":[83,303,523,743,963,1183],"clock_positions":[83,303,523,743,963,1183],"native_values":[177,382,177,167,392,167],"rotation_degrees":22.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,382,177,167,392,167],"beta":{"interval_sums":[44248,48288,48548,45708,48118,46998],"interval_residues":[388,128,388,128,388,128],"display_cycle":[388,128,388,128,388,128],"intervals":[{"from_index":83,"to_index":303,"sum":44248,"residue":388},{"from_index":303,"to_index":523,"sum":48288,"residue":128},{"from_index":523,"to_index":743,"sum":48548,"residue":388},{"from_index":743,"to_index":963,"sum":45708,"residue":128},{"from_index":963,"to_index":1183,"sum":48118,"residue":388},{"from_index":1183,"to_index":83,"sum":46998,"residue":128}],"minimal_cycle":[388,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[83,303],"circle_positions":430,"cycle_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":[84,304,524,744,964,1184],"clock_positions":[84,304,524,744,964,1184],"native_values":[298,3,83,218,83,3],"rotation_degrees":22.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,3,83,218,83,3],"beta":{"interval_sums":[44332,48462,48632,45882,48202,47172],"interval_residues":[42,302,42,302,42,302],"display_cycle":[42,302,42,302,42,302],"intervals":[{"from_index":84,"to_index":304,"sum":44332,"residue":42},{"from_index":304,"to_index":524,"sum":48462,"residue":302},{"from_index":524,"to_index":744,"sum":48632,"residue":42},{"from_index":744,"to_index":964,"sum":45882,"residue":302},{"from_index":964,"to_index":1184,"sum":48202,"residue":42},{"from_index":1184,"to_index":84,"sum":47172,"residue":302}],"minimal_cycle":[42,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[84,304],"circle_positions":430,"cycle_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":[85,305,525,745,965,1185],"clock_positions":[85,305,525,745,965,1185],"native_values":[45,385,260,385,45,170],"rotation_degrees":23.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,385,260,385,45,170],"beta":{"interval_sums":[44290,48160,48590,45580,48160,47300],"interval_residues":[0,0,0,0,0,0],"display_cycle":[430,430,430,430,430,430],"intervals":[{"from_index":85,"to_index":305,"sum":44290,"residue":0},{"from_index":305,"to_index":525,"sum":48160,"residue":0},{"from_index":525,"to_index":745,"sum":48590,"residue":0},{"from_index":745,"to_index":965,"sum":45580,"residue":0},{"from_index":965,"to_index":1185,"sum":48160,"residue":0},{"from_index":1185,"to_index":85,"sum":47300,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[85,305],"circle_positions":430,"cycle_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":[86,306,526,746,966,1186],"clock_positions":[86,306,526,746,966,1186],"native_values":[343,388,343,173,128,173],"rotation_degrees":23.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,388,343,173,128,173],"beta":{"interval_sums":[44332,48032,48632,45452,48202,47172],"interval_residues":[42,302,42,302,42,302],"display_cycle":[42,302,42,302,42,302],"intervals":[{"from_index":86,"to_index":306,"sum":44332,"residue":42},{"from_index":306,"to_index":526,"sum":48032,"residue":302},{"from_index":526,"to_index":746,"sum":48632,"residue":42},{"from_index":746,"to_index":966,"sum":45452,"residue":302},{"from_index":966,"to_index":1186,"sum":48202,"residue":42},{"from_index":1186,"to_index":86,"sum":47172,"residue":302}],"minimal_cycle":[42,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[86,306],"circle_positions":430,"cycle_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":[87,307,527,747,967,1187],"clock_positions":[87,307,527,747,967,1187],"native_values":[388,343,173,128,173,343],"rotation_degrees":23.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,343,173,128,173,343],"beta":{"interval_sums":[44332,48032,48632,45452,48202,47172],"interval_residues":[42,302,42,302,42,302],"display_cycle":[42,302,42,302,42,302],"intervals":[{"from_index":87,"to_index":307,"sum":44332,"residue":42},{"from_index":307,"to_index":527,"sum":48032,"residue":302},{"from_index":527,"to_index":747,"sum":48632,"residue":42},{"from_index":747,"to_index":967,"sum":45452,"residue":302},{"from_index":967,"to_index":1187,"sum":48202,"residue":42},{"from_index":1187,"to_index":87,"sum":47172,"residue":302}],"minimal_cycle":[42,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[87,307],"circle_positions":430,"cycle_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":[88,308,528,748,968,1188],"clock_positions":[88,308,528,748,968,1188],"native_values":[301,301,86,301,301,86],"rotation_degrees":24.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,301,86],"beta":{"interval_sums":[44374,47904,48674,45324,48244,47474],"interval_residues":[84,174,84,174,84,174],"display_cycle":[84,174,84,174,84,174],"intervals":[{"from_index":88,"to_index":308,"sum":44374,"residue":84},{"from_index":308,"to_index":528,"sum":47904,"residue":174},{"from_index":528,"to_index":748,"sum":48674,"residue":84},{"from_index":748,"to_index":968,"sum":45324,"residue":174},{"from_index":968,"to_index":1188,"sum":48244,"residue":84},{"from_index":1188,"to_index":88,"sum":47474,"residue":174}],"minimal_cycle":[84,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[88,308],"circle_positions":430,"cycle_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":[89,309,529,749,969,1189],"clock_positions":[89,309,529,749,969,1189],"native_values":[259,214,259,429,44,429],"rotation_degrees":24.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,214,259,429,44,429],"beta":{"interval_sums":[44416,47776,48716,45196,48286,47346],"interval_residues":[126,46,126,46,126,46],"display_cycle":[126,46,126,46,126,46],"intervals":[{"from_index":89,"to_index":309,"sum":44416,"residue":126},{"from_index":309,"to_index":529,"sum":47776,"residue":46},{"from_index":529,"to_index":749,"sum":48716,"residue":126},{"from_index":749,"to_index":969,"sum":45196,"residue":46},{"from_index":969,"to_index":1189,"sum":48286,"residue":126},{"from_index":1189,"to_index":89,"sum":47346,"residue":46}],"minimal_cycle":[126,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[89,309],"circle_positions":430,"cycle_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":[90,310,530,750,970,1190],"clock_positions":[90,310,530,750,970,1190],"native_values":[130,85,345,300,345,85],"rotation_degrees":24.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,85,345,300,345,85],"beta":{"interval_sums":[44500,47950,48800,44940,48370,47520],"interval_residues":[210,220,210,220,210,220],"display_cycle":[210,220,210,220,210,220],"intervals":[{"from_index":90,"to_index":310,"sum":44500,"residue":210},{"from_index":310,"to_index":530,"sum":47950,"residue":220},{"from_index":530,"to_index":750,"sum":48800,"residue":210},{"from_index":750,"to_index":970,"sum":44940,"residue":220},{"from_index":970,"to_index":1190,"sum":48370,"residue":210},{"from_index":1190,"to_index":90,"sum":47520,"residue":220}],"minimal_cycle":[210,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[90,310],"circle_positions":430,"cycle_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":[91,311,531,751,971,1191],"clock_positions":[91,311,531,751,971,1191],"native_values":[389,299,174,299,389,84],"rotation_degrees":24.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,299,174,299,389,84],"beta":{"interval_sums":[44196,47996,48926,44986,48066,47566],"interval_residues":[336,266,336,266,336,266],"display_cycle":[336,266,336,266,336,266],"intervals":[{"from_index":91,"to_index":311,"sum":44196,"residue":336},{"from_index":311,"to_index":531,"sum":47996,"residue":266},{"from_index":531,"to_index":751,"sum":48926,"residue":336},{"from_index":751,"to_index":971,"sum":44986,"residue":266},{"from_index":971,"to_index":1191,"sum":48066,"residue":336},{"from_index":1191,"to_index":91,"sum":47566,"residue":266}],"minimal_cycle":[336,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[91,311],"circle_positions":430,"cycle_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":[92,312,532,752,972,1192],"clock_positions":[92,312,532,752,972,1192],"native_values":[89,384,89,169,304,169],"rotation_degrees":25.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,384,89,169,304,169],"beta":{"interval_sums":[44406,47786,49136,45206,47846,47786],"interval_residues":[116,56,116,56,116,56],"display_cycle":[116,56,116,56,116,56],"intervals":[{"from_index":92,"to_index":312,"sum":44406,"residue":116},{"from_index":312,"to_index":532,"sum":47786,"residue":56},{"from_index":532,"to_index":752,"sum":49136,"residue":116},{"from_index":752,"to_index":972,"sum":45206,"residue":56},{"from_index":972,"to_index":1192,"sum":47846,"residue":116},{"from_index":1192,"to_index":92,"sum":47786,"residue":56}],"minimal_cycle":[116,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[92,312],"circle_positions":430,"cycle_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":[93,313,533,753,973,1193],"clock_positions":[93,313,533,753,973,1193],"native_values":[48,253,263,38,263,253],"rotation_degrees":25.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,253,263,38,263,253],"beta":{"interval_sums":[44742,47622,49042,45472,47752,47622],"interval_residues":[22,322,22,322,22,322],"display_cycle":[22,322,22,322,22,322],"intervals":[{"from_index":93,"to_index":313,"sum":44742,"residue":22},{"from_index":313,"to_index":533,"sum":47622,"residue":322},{"from_index":533,"to_index":753,"sum":49042,"residue":22},{"from_index":753,"to_index":973,"sum":45472,"residue":322},{"from_index":973,"to_index":1193,"sum":47752,"residue":22},{"from_index":1193,"to_index":93,"sum":47622,"residue":322}],"minimal_cycle":[22,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[93,313],"circle_positions":430,"cycle_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":[94,314,534,754,974,1194],"clock_positions":[94,314,534,754,974,1194],"native_values":[137,207,352,207,137,422],"rotation_degrees":25.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,207,352,207,137,422],"beta":{"interval_sums":[44858,47678,48728,45528,47868,47248],"interval_residues":[138,378,138,378,138,378],"display_cycle":[138,378,138,378,138,378],"intervals":[{"from_index":94,"to_index":314,"sum":44858,"residue":138},{"from_index":314,"to_index":534,"sum":47678,"residue":378},{"from_index":534,"to_index":754,"sum":48728,"residue":138},{"from_index":754,"to_index":974,"sum":45528,"residue":378},{"from_index":974,"to_index":1194,"sum":47868,"residue":138},{"from_index":1194,"to_index":94,"sum":47248,"residue":378}],"minimal_cycle":[138,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[94,314],"circle_positions":430,"cycle_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":[95,315,535,755,975,1195],"clock_positions":[95,315,535,755,975,1195],"native_values":[185,30,185,245,400,245],"rotation_degrees":25.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,30,185,245,400,245],"beta":{"interval_sums":[44880,48000,48750,45420,47890,47140],"interval_residues":[160,270,160,270,160,270],"display_cycle":[160,270,160,270,160,270],"intervals":[{"from_index":95,"to_index":315,"sum":44880,"residue":160},{"from_index":315,"to_index":535,"sum":48000,"residue":270},{"from_index":535,"to_index":755,"sum":48750,"residue":160},{"from_index":755,"to_index":975,"sum":45420,"residue":270},{"from_index":975,"to_index":1195,"sum":47890,"residue":160},{"from_index":1195,"to_index":95,"sum":47140,"residue":270}],"minimal_cycle":[160,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[95,315],"circle_positions":430,"cycle_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":[96,316,536,756,976,1196],"clock_positions":[96,316,536,756,976,1196],"native_values":[322,237,107,22,107,237],"rotation_degrees":26.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,237,107,22,107,237],"beta":{"interval_sums":[44588,47948,48888,45798,48028,47088],"interval_residues":[298,218,298,218,298,218],"display_cycle":[298,218,298,218,298,218],"intervals":[{"from_index":96,"to_index":316,"sum":44588,"residue":298},{"from_index":316,"to_index":536,"sum":47948,"residue":218},{"from_index":536,"to_index":756,"sum":48888,"residue":298},{"from_index":756,"to_index":976,"sum":45798,"residue":218},{"from_index":976,"to_index":1196,"sum":48028,"residue":298},{"from_index":1196,"to_index":96,"sum":47088,"residue":218}],"minimal_cycle":[298,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[96,316],"circle_positions":430,"cycle_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":[97,317,537,757,977,1197],"clock_positions":[97,317,537,757,977,1197],"native_values":[77,267,292,267,77,52],"rotation_degrees":26.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,267,292,267,77,52],"beta":{"interval_sums":[44748,47788,48618,45638,48188,47358],"interval_residues":[28,58,28,58,28,58],"display_cycle":[28,58,28,58,28,58],"intervals":[{"from_index":97,"to_index":317,"sum":44748,"residue":28},{"from_index":317,"to_index":537,"sum":47788,"residue":58},{"from_index":537,"to_index":757,"sum":48618,"residue":28},{"from_index":757,"to_index":977,"sum":45638,"residue":58},{"from_index":977,"to_index":1197,"sum":48188,"residue":28},{"from_index":1197,"to_index":97,"sum":47358,"residue":58}],"minimal_cycle":[28,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[97,317],"circle_positions":430,"cycle_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":[98,318,538,758,978,1198],"clock_positions":[98,318,538,758,978,1198],"native_values":[399,74,399,289,184,289],"rotation_degrees":26.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,74,399,289,184,289],"beta":{"interval_sums":[44616,48006,48486,45426,48056,47146],"interval_residues":[326,276,326,276,326,276],"display_cycle":[326,276,326,276,326,276],"intervals":[{"from_index":98,"to_index":318,"sum":44616,"residue":326},{"from_index":318,"to_index":538,"sum":48006,"residue":276},{"from_index":538,"to_index":758,"sum":48486,"residue":326},{"from_index":758,"to_index":978,"sum":45426,"residue":276},{"from_index":978,"to_index":1198,"sum":48056,"residue":326},{"from_index":1198,"to_index":98,"sum":47146,"residue":276}],"minimal_cycle":[326,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[98,318],"circle_positions":430,"cycle_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":[99,319,539,759,979,1199],"clock_positions":[99,319,539,759,979,1199],"native_values":[46,341,261,126,261,341],"rotation_degrees":27.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[46,341,261,126,261,341],"beta":{"interval_sums":[44644,48064,48514,45484,48084,47204],"interval_residues":[354,334,354,334,354,334],"display_cycle":[354,334,354,334,354,334],"intervals":[{"from_index":99,"to_index":319,"sum":44644,"residue":354},{"from_index":319,"to_index":539,"sum":48064,"residue":334},{"from_index":539,"to_index":759,"sum":48514,"residue":354},{"from_index":759,"to_index":979,"sum":45484,"residue":334},{"from_index":979,"to_index":1199,"sum":48084,"residue":354},{"from_index":1199,"to_index":99,"sum":47204,"residue":334}],"minimal_cycle":[354,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[99,319],"circle_positions":430,"cycle_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":[100,320,540,760,980,1200],"clock_positions":[100,320,540,760,980,1200],"native_values":[15,415,230,415,15,200],"rotation_degrees":27.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,415,230,415,15,200],"beta":{"interval_sums":[44970,47910,48410,45330,48410,47050],"interval_residues":[250,180,250,180,250,180],"display_cycle":[250,180,250,180,250,180],"intervals":[{"from_index":100,"to_index":320,"sum":44970,"residue":250},{"from_index":320,"to_index":540,"sum":47910,"residue":180},{"from_index":540,"to_index":760,"sum":48410,"residue":250},{"from_index":760,"to_index":980,"sum":45330,"residue":180},{"from_index":980,"to_index":1200,"sum":48410,"residue":250},{"from_index":1200,"to_index":100,"sum":47050,"residue":180}],"minimal_cycle":[250,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[100,320],"circle_positions":430,"cycle_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":[101,321,541,761,981,1201],"clock_positions":[101,321,541,761,981,1201],"native_values":[61,326,61,111,276,111],"rotation_degrees":27.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,326,61,111,276,111],"beta":{"interval_sums":[45324,47814,48764,45234,48334,46954],"interval_residues":[174,84,174,84,174,84],"display_cycle":[174,84,174,84,174,84],"intervals":[{"from_index":101,"to_index":321,"sum":45324,"residue":174},{"from_index":321,"to_index":541,"sum":47814,"residue":84},{"from_index":541,"to_index":761,"sum":48764,"residue":174},{"from_index":761,"to_index":981,"sum":45234,"residue":84},{"from_index":981,"to_index":1201,"sum":48334,"residue":174},{"from_index":1201,"to_index":101,"sum":46954,"residue":84}],"minimal_cycle":[174,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[101,321],"circle_positions":430,"cycle_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":[102,322,542,762,982,1202],"clock_positions":[102,322,542,762,982,1202],"native_values":[76,311,291,96,291,311],"rotation_degrees":27.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,311,291,96,291,311],"beta":{"interval_sums":[45574,47564,48584,45414,48154,46704],"interval_residues":[424,264,424,264,424,264],"display_cycle":[424,264,424,264,424,264],"intervals":[{"from_index":102,"to_index":322,"sum":45574,"residue":424},{"from_index":322,"to_index":542,"sum":47564,"residue":264},{"from_index":542,"to_index":762,"sum":48584,"residue":424},{"from_index":762,"to_index":982,"sum":45414,"residue":264},{"from_index":982,"to_index":1202,"sum":48154,"residue":424},{"from_index":1202,"to_index":102,"sum":46704,"residue":264}],"minimal_cycle":[424,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[102,322],"circle_positions":430,"cycle_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":[103,323,543,763,983,1203],"clock_positions":[103,323,543,763,983,1203],"native_values":[137,207,352,207,137,422],"rotation_degrees":28.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,207,352,207,137,422],"beta":{"interval_sums":[45748,47648,48328,45498,48328,46358],"interval_residues":[168,348,168,348,168,348],"display_cycle":[168,348,168,348,168,348],"intervals":[{"from_index":103,"to_index":323,"sum":45748,"residue":168},{"from_index":323,"to_index":543,"sum":47648,"residue":348},{"from_index":543,"to_index":763,"sum":48328,"residue":168},{"from_index":763,"to_index":983,"sum":45498,"residue":348},{"from_index":983,"to_index":1203,"sum":48328,"residue":168},{"from_index":1203,"to_index":103,"sum":46358,"residue":348}],"minimal_cycle":[168,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[103,323],"circle_positions":430,"cycle_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":[104,324,544,764,984,1204],"clock_positions":[104,324,544,764,984,1204],"native_values":[213,88,213,303,428,303],"rotation_degrees":28.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,88,213,303,428,303],"beta":{"interval_sums":[45742,47912,48322,45332,48322,46192],"interval_residues":[162,182,162,182,162,182],"display_cycle":[162,182,162,182,162,182],"intervals":[{"from_index":104,"to_index":324,"sum":45742,"residue":162},{"from_index":324,"to_index":544,"sum":47912,"residue":182},{"from_index":544,"to_index":764,"sum":48322,"residue":162},{"from_index":764,"to_index":984,"sum":45332,"residue":182},{"from_index":984,"to_index":1204,"sum":48322,"residue":162},{"from_index":1204,"to_index":104,"sum":46192,"residue":182}],"minimal_cycle":[162,182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[104,324],"circle_positions":430,"cycle_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":[105,325,545,765,985,1205],"clock_positions":[105,325,545,765,985,1205],"native_values":[350,295,135,80,135,295],"rotation_degrees":28.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,295,135,80,135,295],"beta":{"interval_sums":[45480,47830,48490,45680,48490,46110],"interval_residues":[330,100,330,100,330,100],"display_cycle":[330,100,330,100,330,100],"intervals":[{"from_index":105,"to_index":325,"sum":45480,"residue":330},{"from_index":325,"to_index":545,"sum":47830,"residue":100},{"from_index":545,"to_index":765,"sum":48490,"residue":330},{"from_index":765,"to_index":985,"sum":45680,"residue":100},{"from_index":985,"to_index":1205,"sum":48490,"residue":330},{"from_index":1205,"to_index":105,"sum":46110,"residue":100}],"minimal_cycle":[330,100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[105,325],"circle_positions":430,"cycle_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":[106,326,546,766,986,1206],"clock_positions":[106,326,546,766,986,1206],"native_values":[133,383,348,383,133,168],"rotation_degrees":28.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,383,348,383,133,168],"beta":{"interval_sums":[45642,47582,48222,45432,48652,46292],"interval_residues":[62,282,62,282,62,282],"display_cycle":[62,282,62,282,62,282],"intervals":[{"from_index":106,"to_index":326,"sum":45642,"residue":62},{"from_index":326,"to_index":546,"sum":47582,"residue":282},{"from_index":546,"to_index":766,"sum":48222,"residue":62},{"from_index":766,"to_index":986,"sum":45432,"residue":282},{"from_index":986,"to_index":1206,"sum":48652,"residue":62},{"from_index":1206,"to_index":106,"sum":46292,"residue":282}],"minimal_cycle":[62,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[106,326],"circle_positions":430,"cycle_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":[107,327,547,767,987,1207],"clock_positions":[107,327,547,767,987,1207],"native_values":[53,248,53,33,268,33],"rotation_degrees":29.181818181818183,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,248,53,33,268,33],"beta":{"interval_sums":[45972,47682,48552,45532,48552,46392],"interval_residues":[392,382,392,382,392,382],"display_cycle":[392,382,392,382,392,382],"intervals":[{"from_index":107,"to_index":327,"sum":45972,"residue":392},{"from_index":327,"to_index":547,"sum":47682,"residue":382},{"from_index":547,"to_index":767,"sum":48552,"residue":392},{"from_index":767,"to_index":987,"sum":45532,"residue":382},{"from_index":987,"to_index":1207,"sum":48552,"residue":392},{"from_index":1207,"to_index":107,"sum":46392,"residue":382}],"minimal_cycle":[392,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[107,327],"circle_positions":430,"cycle_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":[108,328,548,768,988,1208],"clock_positions":[108,328,548,768,988,1208],"native_values":[186,201,401,416,401,201],"rotation_degrees":29.454545454545453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[186,201,401,416,401,201],"beta":{"interval_sums":[46034,47534,48184,45384,48184,46244],"interval_residues":[24,234,24,234,24,234],"display_cycle":[24,234,24,234,24,234],"intervals":[{"from_index":108,"to_index":328,"sum":46034,"residue":24},{"from_index":328,"to_index":548,"sum":47534,"residue":234},{"from_index":548,"to_index":768,"sum":48184,"residue":24},{"from_index":768,"to_index":988,"sum":45384,"residue":234},{"from_index":988,"to_index":1208,"sum":48184,"residue":24},{"from_index":1208,"to_index":108,"sum":46244,"residue":234}],"minimal_cycle":[24,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[108,328],"circle_positions":430,"cycle_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":[109,329,549,769,989,1209],"clock_positions":[109,329,549,769,989,1209],"native_values":[239,19,24,19,239,234],"rotation_degrees":29.727272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,19,24,19,239,234],"beta":{"interval_sums":[45996,47916,48576,45766,48146,46196],"interval_residues":[416,186,416,186,416,186],"display_cycle":[416,186,416,186,416,186],"intervals":[{"from_index":109,"to_index":329,"sum":45996,"residue":416},{"from_index":329,"to_index":549,"sum":47916,"residue":186},{"from_index":549,"to_index":769,"sum":48576,"residue":416},{"from_index":769,"to_index":989,"sum":45766,"residue":186},{"from_index":989,"to_index":1209,"sum":48146,"residue":416},{"from_index":1209,"to_index":109,"sum":46196,"residue":186}],"minimal_cycle":[416,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[109,329],"circle_positions":430,"cycle_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":[110,330,550,770,990,1210],"clock_positions":[110,330,550,770,990,1210],"native_values":[425,220,425,5,210,5],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,220,425,5,210,5],"beta":{"interval_sums":[45590,47720,48170,46000,48170,46430],"interval_residues":[10,420,10,420,10,420],"display_cycle":[10,420,10,420,10,420],"intervals":[{"from_index":110,"to_index":330,"sum":45590,"residue":10},{"from_index":330,"to_index":550,"sum":47720,"residue":420},{"from_index":550,"to_index":770,"sum":48170,"residue":10},{"from_index":770,"to_index":990,"sum":46000,"residue":420},{"from_index":990,"to_index":1210,"sum":48170,"residue":10},{"from_index":1210,"to_index":110,"sum":46430,"residue":420}],"minimal_cycle":[10,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[110,330],"circle_positions":430,"cycle_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":[111,331,551,771,991,1211],"clock_positions":[111,331,551,771,991,1211],"native_values":[234,239,19,24,19,239],"rotation_degrees":30.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[234,239,19,24,19,239],"beta":{"interval_sums":[45576,47906,48156,46186,48156,46616],"interval_residues":[426,176,426,176,426,176],"display_cycle":[426,176,426,176,426,176],"intervals":[{"from_index":111,"to_index":331,"sum":45576,"residue":426},{"from_index":331,"to_index":551,"sum":47906,"residue":176},{"from_index":551,"to_index":771,"sum":48156,"residue":426},{"from_index":771,"to_index":991,"sum":46186,"residue":176},{"from_index":991,"to_index":1211,"sum":48156,"residue":426},{"from_index":1211,"to_index":111,"sum":46616,"residue":176}],"minimal_cycle":[426,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[111,331],"circle_positions":430,"cycle_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":[112,332,552,772,992,1212],"clock_positions":[112,332,552,772,992,1212],"native_values":[229,29,14,29,229,244],"rotation_degrees":30.545454545454547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,29,14,29,229,244],"beta":{"interval_sums":[45586,47896,48166,46176,48166,46606],"interval_residues":[6,166,6,166,6,166],"display_cycle":[6,166,6,166,6,166],"intervals":[{"from_index":112,"to_index":332,"sum":45586,"residue":6},{"from_index":332,"to_index":552,"sum":47896,"residue":166},{"from_index":552,"to_index":772,"sum":48166,"residue":6},{"from_index":772,"to_index":992,"sum":46176,"residue":166},{"from_index":992,"to_index":1212,"sum":48166,"residue":6},{"from_index":1212,"to_index":112,"sum":46606,"residue":166}],"minimal_cycle":[6,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[112,332],"circle_positions":430,"cycle_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":[113,333,553,773,993,1213],"clock_positions":[113,333,553,773,993,1213],"native_values":[33,268,33,53,248,53],"rotation_degrees":30.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,268,33,53,248,53],"beta":{"interval_sums":[45582,47642,48162,46352,48162,46782],"interval_residues":[2,342,2,342,2,342],"display_cycle":[2,342,2,342,2,342],"intervals":[{"from_index":113,"to_index":333,"sum":45582,"residue":2},{"from_index":333,"to_index":553,"sum":47642,"residue":342},{"from_index":553,"to_index":773,"sum":48162,"residue":2},{"from_index":773,"to_index":993,"sum":46352,"residue":342},{"from_index":993,"to_index":1213,"sum":48162,"residue":2},{"from_index":1213,"to_index":113,"sum":46782,"residue":342}],"minimal_cycle":[2,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[113,333],"circle_positions":430,"cycle_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":[114,334,554,774,994,1214],"clock_positions":[114,334,554,774,994,1214],"native_values":[262,297,47,82,47,297],"rotation_degrees":31.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,297,47,82,47,297],"beta":{"interval_sums":[45588,47378,48168,46518,48168,46518],"interval_residues":[8,78,8,78,8,78],"display_cycle":[8,78,8,78,8,78],"intervals":[{"from_index":114,"to_index":334,"sum":45588,"residue":8},{"from_index":334,"to_index":554,"sum":47378,"residue":78},{"from_index":554,"to_index":774,"sum":48168,"residue":8},{"from_index":774,"to_index":994,"sum":46518,"residue":78},{"from_index":994,"to_index":1214,"sum":48168,"residue":8},{"from_index":1214,"to_index":114,"sum":46518,"residue":78}],"minimal_cycle":[8,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[114,334],"circle_positions":430,"cycle_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":[115,335,555,775,995,1215],"clock_positions":[115,335,555,775,995,1215],"native_values":[295,135,80,135,295,350],"rotation_degrees":31.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,135,80,135,295,350],"beta":{"interval_sums":[45590,47290,48170,46430,48170,46430],"interval_residues":[10,420,10,420,10,420],"display_cycle":[10,420,10,420,10,420],"intervals":[{"from_index":115,"to_index":335,"sum":45590,"residue":10},{"from_index":335,"to_index":555,"sum":47290,"residue":420},{"from_index":555,"to_index":775,"sum":48170,"residue":10},{"from_index":775,"to_index":995,"sum":46430,"residue":420},{"from_index":995,"to_index":1215,"sum":48170,"residue":10},{"from_index":1215,"to_index":115,"sum":46430,"residue":420}],"minimal_cycle":[10,420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[115,335],"circle_positions":430,"cycle_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":[116,336,556,776,996,1216],"clock_positions":[116,336,556,776,996,1216],"native_values":[127,2,127,217,342,217],"rotation_degrees":31.636363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,2,127,217,342,217],"beta":{"interval_sums":[45598,47368,48178,46508,48178,46508],"interval_residues":[18,68,18,68,18,68],"display_cycle":[18,68,18,68,18,68],"intervals":[{"from_index":116,"to_index":336,"sum":45598,"residue":18},{"from_index":336,"to_index":556,"sum":47368,"residue":68},{"from_index":556,"to_index":776,"sum":48178,"residue":18},{"from_index":776,"to_index":996,"sum":46508,"residue":68},{"from_index":996,"to_index":1216,"sum":48178,"residue":18},{"from_index":1216,"to_index":116,"sum":46508,"residue":68}],"minimal_cycle":[18,68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[116,336],"circle_positions":430,"cycle_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":[117,337,557,777,997,1217],"clock_positions":[117,337,557,777,997,1217],"native_values":[422,137,207,352,207,137],"rotation_degrees":31.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,137,207,352,207,137],"beta":{"interval_sums":[45178,47358,48188,46498,48188,46498],"interval_residues":[28,58,28,58,28,58],"display_cycle":[28,58,28,58,28,58],"intervals":[{"from_index":117,"to_index":337,"sum":45178,"residue":28},{"from_index":337,"to_index":557,"sum":47358,"residue":58},{"from_index":557,"to_index":777,"sum":48188,"residue":28},{"from_index":777,"to_index":997,"sum":46498,"residue":58},{"from_index":997,"to_index":1217,"sum":48188,"residue":28},{"from_index":1217,"to_index":117,"sum":46498,"residue":58}],"minimal_cycle":[28,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[117,337],"circle_positions":430,"cycle_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":[118,338,558,778,998,1218],"clock_positions":[118,338,558,778,998,1218],"native_values":[119,139,334,139,119,354],"rotation_degrees":32.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,139,334,139,119,354],"beta":{"interval_sums":[45196,47426,48206,46566,48206,46566],"interval_residues":[46,126,46,126,46,126],"display_cycle":[46,126,46,126,46,126],"intervals":[{"from_index":118,"to_index":338,"sum":45196,"residue":46},{"from_index":338,"to_index":558,"sum":47426,"residue":126},{"from_index":558,"to_index":778,"sum":48206,"residue":46},{"from_index":778,"to_index":998,"sum":46566,"residue":126},{"from_index":998,"to_index":1218,"sum":48206,"residue":46},{"from_index":1218,"to_index":118,"sum":46566,"residue":126}],"minimal_cycle":[46,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[118,338],"circle_positions":430,"cycle_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":[119,339,559,779,999,1219],"clock_positions":[119,339,559,779,999,1219],"native_values":[111,276,111,61,326,61],"rotation_degrees":32.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,276,111,61,326,61],"beta":{"interval_sums":[45224,47484,48234,46624,48234,46624],"interval_residues":[74,184,74,184,74,184],"display_cycle":[74,184,74,184,74,184],"intervals":[{"from_index":119,"to_index":339,"sum":45224,"residue":74},{"from_index":339,"to_index":559,"sum":47484,"residue":184},{"from_index":559,"to_index":779,"sum":48234,"residue":74},{"from_index":779,"to_index":999,"sum":46624,"residue":184},{"from_index":999,"to_index":1219,"sum":48234,"residue":74},{"from_index":1219,"to_index":119,"sum":46624,"residue":184}],"minimal_cycle":[74,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[119,339],"circle_positions":430,"cycle_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":[120,340,560,780,1000,1220],"clock_positions":[120,340,560,780,1000,1220],"native_values":[230,415,15,200,15,415],"rotation_degrees":32.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,415,15,200,15,415],"beta":{"interval_sums":[45270,47180,48280,46750,48280,46320],"interval_residues":[120,310,120,310,120,310],"display_cycle":[120,310,120,310,120,310],"intervals":[{"from_index":120,"to_index":340,"sum":45270,"residue":120},{"from_index":340,"to_index":560,"sum":47180,"residue":310},{"from_index":560,"to_index":780,"sum":48280,"residue":120},{"from_index":780,"to_index":1000,"sum":46750,"residue":310},{"from_index":1000,"to_index":1220,"sum":48280,"residue":120},{"from_index":1220,"to_index":120,"sum":46320,"residue":310}],"minimal_cycle":[120,310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[120,340],"circle_positions":430,"cycle_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":[121,341,561,781,1001,1221],"clock_positions":[121,341,561,781,1001,1221],"native_values":[341,261,126,261,341,46],"rotation_degrees":33.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,261,126,261,341,46],"beta":{"interval_sums":[45344,46934,48354,46504,48354,46504],"interval_residues":[194,64,194,64,194,64],"display_cycle":[194,64,194,64,194,64],"intervals":[{"from_index":121,"to_index":341,"sum":45344,"residue":194},{"from_index":341,"to_index":561,"sum":46934,"residue":64},{"from_index":561,"to_index":781,"sum":48354,"residue":194},{"from_index":781,"to_index":1001,"sum":46504,"residue":64},{"from_index":1001,"to_index":1221,"sum":48354,"residue":194},{"from_index":1221,"to_index":121,"sum":46504,"residue":64}],"minimal_cycle":[194,64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[121,341],"circle_positions":430,"cycle_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":[122,342,562,782,1002,1222],"clock_positions":[122,342,562,782,1002,1222],"native_values":[141,246,141,31,356,31],"rotation_degrees":33.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,246,141,31,356,31],"beta":{"interval_sums":[45464,46814,48474,46814,48044,46814],"interval_residues":[314,374,314,374,314,374],"display_cycle":[314,374,314,374,314,374],"intervals":[{"from_index":122,"to_index":342,"sum":45464,"residue":314},{"from_index":342,"to_index":562,"sum":46814,"residue":374},{"from_index":562,"to_index":782,"sum":48474,"residue":314},{"from_index":782,"to_index":1002,"sum":46814,"residue":374},{"from_index":1002,"to_index":1222,"sum":48044,"residue":314},{"from_index":1222,"to_index":122,"sum":46814,"residue":374}],"minimal_cycle":[314,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[122,342],"circle_positions":430,"cycle_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":[123,343,563,783,1003,1223],"clock_positions":[123,343,563,783,1003,1223],"native_values":[52,77,267,292,267,77],"rotation_degrees":33.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,77,267,292,267,77],"beta":{"interval_sums":[45658,46878,48238,46878,47808,46878],"interval_residues":[78,8,78,8,78,8],"display_cycle":[78,8,78,8,78,8],"intervals":[{"from_index":123,"to_index":343,"sum":45658,"residue":78},{"from_index":343,"to_index":563,"sum":46878,"residue":8},{"from_index":563,"to_index":783,"sum":48238,"residue":78},{"from_index":783,"to_index":1003,"sum":46878,"residue":8},{"from_index":1003,"to_index":1223,"sum":47808,"residue":78},{"from_index":1223,"to_index":123,"sum":46878,"residue":8}],"minimal_cycle":[78,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[123,343],"circle_positions":430,"cycle_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":[124,344,564,784,1004,1224],"clock_positions":[124,344,564,784,1004,1224],"native_values":[193,323,408,323,193,108],"rotation_degrees":33.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,323,408,323,193,108],"beta":{"interval_sums":[45542,46822,48122,46822,47692,46822],"interval_residues":[392,382,392,382,392,382],"display_cycle":[392,382,392,382,392,382],"intervals":[{"from_index":124,"to_index":344,"sum":45542,"residue":392},{"from_index":344,"to_index":564,"sum":46822,"residue":382},{"from_index":564,"to_index":784,"sum":48122,"residue":392},{"from_index":784,"to_index":1004,"sum":46822,"residue":382},{"from_index":1004,"to_index":1224,"sum":47692,"residue":392},{"from_index":1224,"to_index":124,"sum":46822,"residue":382}],"minimal_cycle":[392,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[124,344],"circle_positions":430,"cycle_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":[125,345,565,785,1005,1225],"clock_positions":[125,345,565,785,1005,1225],"native_values":[245,400,245,185,30,185],"rotation_degrees":34.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,400,245,185,30,185],"beta":{"interval_sums":[45620,46830,48200,46830,47770,46830],"interval_residues":[40,390,40,390,40,390],"display_cycle":[40,390,40,390,40,390],"intervals":[{"from_index":125,"to_index":345,"sum":45620,"residue":40},{"from_index":345,"to_index":565,"sum":46830,"residue":390},{"from_index":565,"to_index":785,"sum":48200,"residue":40},{"from_index":785,"to_index":1005,"sum":46830,"residue":390},{"from_index":1005,"to_index":1225,"sum":47770,"residue":40},{"from_index":1225,"to_index":125,"sum":46830,"residue":390}],"minimal_cycle":[40,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[125,345],"circle_positions":430,"cycle_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":[126,346,566,786,1006,1226],"clock_positions":[126,346,566,786,1006,1226],"native_values":[8,293,223,78,223,293],"rotation_degrees":34.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,293,223,78,223,293],"beta":{"interval_sums":[46012,46782,48162,46782,47732,46782],"interval_residues":[2,342,2,342,2,342],"display_cycle":[2,342,2,342,2,342],"intervals":[{"from_index":126,"to_index":346,"sum":46012,"residue":2},{"from_index":346,"to_index":566,"sum":46782,"residue":342},{"from_index":566,"to_index":786,"sum":48162,"residue":2},{"from_index":786,"to_index":1006,"sum":46782,"residue":342},{"from_index":1006,"to_index":1226,"sum":47732,"residue":2},{"from_index":1226,"to_index":126,"sum":46782,"residue":342}],"minimal_cycle":[2,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[126,346],"circle_positions":430,"cycle_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":[127,347,567,787,1007,1227],"clock_positions":[127,347,567,787,1007,1227],"native_values":[253,263,38,263,253,48],"rotation_degrees":34.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,263,38,263,253,48],"beta":{"interval_sums":[46052,46742,48202,46742,47772,46742],"interval_residues":[42,302,42,302,42,302],"display_cycle":[42,302,42,302,42,302],"intervals":[{"from_index":127,"to_index":347,"sum":46052,"residue":42},{"from_index":347,"to_index":567,"sum":46742,"residue":302},{"from_index":567,"to_index":787,"sum":48202,"residue":42},{"from_index":787,"to_index":1007,"sum":46742,"residue":302},{"from_index":1007,"to_index":1227,"sum":47772,"residue":42},{"from_index":1227,"to_index":127,"sum":46742,"residue":302}],"minimal_cycle":[42,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[127,347],"circle_positions":430,"cycle_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":[128,348,568,788,1008,1228],"clock_positions":[128,348,568,788,1008,1228],"native_values":[261,126,261,341,46,341],"rotation_degrees":34.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,126,261,341,46,341],"beta":{"interval_sums":[46054,46654,48204,46654,47774,46654],"interval_residues":[44,214,44,214,44,214],"display_cycle":[44,214,44,214,44,214],"intervals":[{"from_index":128,"to_index":348,"sum":46054,"residue":44},{"from_index":348,"to_index":568,"sum":46654,"residue":214},{"from_index":568,"to_index":788,"sum":48204,"residue":44},{"from_index":788,"to_index":1008,"sum":46654,"residue":214},{"from_index":1008,"to_index":1228,"sum":47774,"residue":44},{"from_index":1228,"to_index":128,"sum":46654,"residue":214}],"minimal_cycle":[44,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[128,348],"circle_positions":430,"cycle_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":[129,349,569,789,1009,1229],"clock_positions":[129,349,569,789,1009,1229],"native_values":[84,389,299,174,299,389],"rotation_degrees":35.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[84,389,299,174,299,389],"beta":{"interval_sums":[46096,46526,48246,46526,47816,46526],"interval_residues":[86,86,86,86,86,86],"display_cycle":[86,86,86,86,86,86],"intervals":[{"from_index":129,"to_index":349,"sum":46096,"residue":86},{"from_index":349,"to_index":569,"sum":46526,"residue":86},{"from_index":569,"to_index":789,"sum":48246,"residue":86},{"from_index":789,"to_index":1009,"sum":46526,"residue":86},{"from_index":1009,"to_index":1229,"sum":47816,"residue":86},{"from_index":1229,"to_index":129,"sum":46526,"residue":86}],"minimal_cycle":[86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[129,349],"circle_positions":430,"cycle_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":[130,350,570,790,1010,1230],"clock_positions":[130,350,570,790,1010,1230],"native_values":[345,85,130,85,345,300],"rotation_degrees":35.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,85,130,85,345,300],"beta":{"interval_sums":[46140,46740,48290,46740,47860,46310],"interval_residues":[130,300,130,300,130,300],"display_cycle":[130,300,130,300,130,300],"intervals":[{"from_index":130,"to_index":350,"sum":46140,"residue":130},{"from_index":350,"to_index":570,"sum":46740,"residue":300},{"from_index":570,"to_index":790,"sum":48290,"residue":130},{"from_index":790,"to_index":1010,"sum":46740,"residue":300},{"from_index":1010,"to_index":1230,"sum":47860,"residue":130},{"from_index":1230,"to_index":130,"sum":46310,"residue":300}],"minimal_cycle":[130,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[130,350],"circle_positions":430,"cycle_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":[131,351,571,791,1011,1231],"clock_positions":[131,351,571,791,1011,1231],"native_values":[429,44,429,259,214,259],"rotation_degrees":35.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,44,429,259,214,259],"beta":{"interval_sums":[45796,46826,47946,46826,47946,46396],"interval_residues":[216,386,216,386,216,386],"display_cycle":[216,386,216,386,216,386],"intervals":[{"from_index":131,"to_index":351,"sum":45796,"residue":216},{"from_index":351,"to_index":571,"sum":46826,"residue":386},{"from_index":571,"to_index":791,"sum":47946,"residue":216},{"from_index":791,"to_index":1011,"sum":46826,"residue":386},{"from_index":1011,"to_index":1231,"sum":47946,"residue":216},{"from_index":1231,"to_index":131,"sum":46396,"residue":386}],"minimal_cycle":[216,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[131,351],"circle_positions":430,"cycle_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":[132,352,572,792,1012,1232],"clock_positions":[132,352,572,792,1012,1232],"native_values":[344,129,129,344,129,129],"rotation_degrees":36.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,129,129],"beta":{"interval_sums":[45496,47126,48076,46696,48076,46696],"interval_residues":[346,256,346,256,346,256],"display_cycle":[346,256,346,256,346,256],"intervals":[{"from_index":132,"to_index":352,"sum":45496,"residue":346},{"from_index":352,"to_index":572,"sum":47126,"residue":256},{"from_index":572,"to_index":792,"sum":48076,"residue":346},{"from_index":792,"to_index":1012,"sum":46696,"residue":256},{"from_index":1012,"to_index":1232,"sum":48076,"residue":346},{"from_index":1232,"to_index":132,"sum":46696,"residue":256}],"minimal_cycle":[346,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[132,352],"circle_positions":430,"cycle_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":[133,353,573,793,1013,1233],"clock_positions":[133,353,573,793,1013,1233],"native_values":[343,173,128,173,343,388],"rotation_degrees":36.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,173,128,173,343,388],"beta":{"interval_sums":[45282,47082,48292,46652,47862,46652],"interval_residues":[132,212,132,212,132,212],"display_cycle":[132,212,132,212,132,212],"intervals":[{"from_index":133,"to_index":353,"sum":45282,"residue":132},{"from_index":353,"to_index":573,"sum":47082,"residue":212},{"from_index":573,"to_index":793,"sum":48292,"residue":132},{"from_index":793,"to_index":1013,"sum":46652,"residue":212},{"from_index":1013,"to_index":1233,"sum":47862,"residue":132},{"from_index":1233,"to_index":133,"sum":46652,"residue":212}],"minimal_cycle":[132,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[133,353],"circle_positions":430,"cycle_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":[134,354,574,794,1014,1234],"clock_positions":[134,354,574,794,1014,1234],"native_values":[257,302,257,87,42,87],"rotation_degrees":36.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,302,257,87,42,87],"beta":{"interval_sums":[45198,46908,48208,46908,48208,46908],"interval_residues":[48,38,48,38,48,38],"display_cycle":[48,38,48,38,48,38],"intervals":[{"from_index":134,"to_index":354,"sum":45198,"residue":48},{"from_index":354,"to_index":574,"sum":46908,"residue":38},{"from_index":574,"to_index":794,"sum":48208,"residue":48},{"from_index":794,"to_index":1014,"sum":46908,"residue":38},{"from_index":1014,"to_index":1234,"sum":48208,"residue":48},{"from_index":1234,"to_index":134,"sum":46908,"residue":38}],"minimal_cycle":[48,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[134,354],"circle_positions":430,"cycle_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":[135,355,575,795,1015,1235],"clock_positions":[135,355,575,795,1015,1235],"native_values":[170,45,385,260,385,45],"rotation_degrees":36.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,45,385,260,385,45],"beta":{"interval_sums":[45330,47120,47910,46690,47910,47120],"interval_residues":[180,250,180,250,180,250],"display_cycle":[180,250,180,250,180,250],"intervals":[{"from_index":135,"to_index":355,"sum":45330,"residue":180},{"from_index":355,"to_index":575,"sum":47120,"residue":250},{"from_index":575,"to_index":795,"sum":47910,"residue":180},{"from_index":795,"to_index":1015,"sum":46690,"residue":250},{"from_index":1015,"to_index":1235,"sum":47910,"residue":180},{"from_index":1235,"to_index":135,"sum":47120,"residue":250}],"minimal_cycle":[180,250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[135,355],"circle_positions":430,"cycle_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":[136,356,576,796,1016,1236],"clock_positions":[136,356,576,796,1016,1236],"native_values":[427,347,212,347,427,132],"rotation_degrees":37.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,347,212,347,427,132],"beta":{"interval_sums":[44948,47158,47958,46728,47528,47158],"interval_residues":[228,288,228,288,228,288],"display_cycle":[228,288,228,288,228,288],"intervals":[{"from_index":136,"to_index":356,"sum":44948,"residue":228},{"from_index":356,"to_index":576,"sum":47158,"residue":288},{"from_index":576,"to_index":796,"sum":47958,"residue":228},{"from_index":796,"to_index":1016,"sum":46728,"residue":288},{"from_index":1016,"to_index":1236,"sum":47528,"residue":228},{"from_index":1236,"to_index":136,"sum":47158,"residue":288}],"minimal_cycle":[228,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[136,356],"circle_positions":430,"cycle_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":[137,357,577,797,1017,1237],"clock_positions":[137,357,577,797,1017,1237],"native_values":[167,392,167,177,382,177],"rotation_degrees":37.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,392,167,177,382,177],"beta":{"interval_sums":[45128,46978,48138,46978,47278,47408],"interval_residues":[408,108,408,108,408,108],"display_cycle":[408,108,408,108,408,108],"intervals":[{"from_index":137,"to_index":357,"sum":45128,"residue":408},{"from_index":357,"to_index":577,"sum":46978,"residue":108},{"from_index":577,"to_index":797,"sum":48138,"residue":408},{"from_index":797,"to_index":1017,"sum":46978,"residue":108},{"from_index":1017,"to_index":1237,"sum":47278,"residue":408},{"from_index":1237,"to_index":137,"sum":47408,"residue":108}],"minimal_cycle":[408,108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[137,357],"circle_positions":430,"cycle_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":[138,358,578,798,1018,1238],"clock_positions":[138,358,578,798,1018,1238],"native_values":[164,309,379,94,379,309],"rotation_degrees":37.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,309,379,94,379,309],"beta":{"interval_sums":[45356,46836,47936,47266,47076,47266],"interval_residues":[206,396,206,396,206,396],"display_cycle":[206,396,206,396,206,396],"intervals":[{"from_index":138,"to_index":358,"sum":45356,"residue":206},{"from_index":358,"to_index":578,"sum":46836,"residue":396},{"from_index":578,"to_index":798,"sum":47936,"residue":206},{"from_index":798,"to_index":1018,"sum":47266,"residue":396},{"from_index":1018,"to_index":1238,"sum":47076,"residue":206},{"from_index":1238,"to_index":138,"sum":47266,"residue":396}],"minimal_cycle":[206,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[138,358],"circle_positions":430,"cycle_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":[139,359,579,799,1019,1239],"clock_positions":[139,359,579,799,1019,1239],"native_values":[331,271,116,271,331,56],"rotation_degrees":37.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,271,116,271,331,56],"beta":{"interval_sums":[45334,46944,47914,47374,47054,47374],"interval_residues":[184,74,184,74,184,74],"display_cycle":[184,74,184,74,184,74],"intervals":[{"from_index":139,"to_index":359,"sum":45334,"residue":184},{"from_index":359,"to_index":579,"sum":46944,"residue":74},{"from_index":579,"to_index":799,"sum":47914,"residue":184},{"from_index":799,"to_index":1019,"sum":47374,"residue":74},{"from_index":1019,"to_index":1239,"sum":47054,"residue":184},{"from_index":1239,"to_index":139,"sum":47374,"residue":74}],"minimal_cycle":[184,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[139,359],"circle_positions":430,"cycle_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":[140,360,580,800,1020,1240],"clock_positions":[140,360,580,800,1020,1240],"native_values":[65,150,65,365,280,365],"rotation_degrees":38.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,150,65,365,280,365],"beta":{"interval_sums":[45540,46910,48120,47340,46830,47340],"interval_residues":[390,40,390,40,390,40],"display_cycle":[390,40,390,40,390,40],"intervals":[{"from_index":140,"to_index":360,"sum":45540,"residue":390},{"from_index":360,"to_index":580,"sum":46910,"residue":40},{"from_index":580,"to_index":800,"sum":48120,"residue":390},{"from_index":800,"to_index":1020,"sum":47340,"residue":40},{"from_index":1020,"to_index":1240,"sum":46830,"residue":390},{"from_index":1240,"to_index":140,"sum":47340,"residue":40}],"minimal_cycle":[390,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[140,360],"circle_positions":430,"cycle_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":[141,361,581,801,1021,1241],"clock_positions":[141,361,581,801,1021,1241],"native_values":[396,421,181,206,181,421],"rotation_degrees":38.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,421,181,206,181,421],"beta":{"interval_sums":[45294,46554,48304,47414,47014,46984],"interval_residues":[144,114,144,114,144,114],"display_cycle":[144,114,144,114,144,114],"intervals":[{"from_index":141,"to_index":361,"sum":45294,"residue":144},{"from_index":361,"to_index":581,"sum":46554,"residue":114},{"from_index":581,"to_index":801,"sum":48304,"residue":144},{"from_index":801,"to_index":1021,"sum":47414,"residue":114},{"from_index":1021,"to_index":1241,"sum":47014,"residue":144},{"from_index":1241,"to_index":141,"sum":46984,"residue":114}],"minimal_cycle":[144,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[141,361],"circle_positions":430,"cycle_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":[142,362,582,802,1022,1242],"clock_positions":[142,362,582,802,1022,1242],"native_values":[31,141,246,141,31,356],"rotation_degrees":38.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,141,246,141,31,356],"beta":{"interval_sums":[45684,46594,48264,47454,47404,47024],"interval_residues":[104,154,104,154,104,154],"display_cycle":[104,154,104,154,104,154],"intervals":[{"from_index":142,"to_index":362,"sum":45684,"residue":104},{"from_index":362,"to_index":582,"sum":46594,"residue":154},{"from_index":582,"to_index":802,"sum":48264,"residue":104},{"from_index":802,"to_index":1022,"sum":47454,"residue":154},{"from_index":1022,"to_index":1242,"sum":47404,"residue":104},{"from_index":1242,"to_index":142,"sum":47024,"residue":154}],"minimal_cycle":[104,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[142,362],"circle_positions":430,"cycle_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":[143,363,583,803,1023,1243],"clock_positions":[143,363,583,803,1023,1243],"native_values":[427,132,427,347,212,347],"rotation_degrees":39.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,132,427,347,212,347],"beta":{"interval_sums":[45398,46708,47978,47138,47548,46708],"interval_residues":[248,268,248,268,248,268],"display_cycle":[248,268,248,268,248,268],"intervals":[{"from_index":143,"to_index":363,"sum":45398,"residue":248},{"from_index":363,"to_index":583,"sum":46708,"residue":268},{"from_index":583,"to_index":803,"sum":47978,"residue":248},{"from_index":803,"to_index":1023,"sum":47138,"residue":268},{"from_index":1023,"to_index":1243,"sum":47548,"residue":248},{"from_index":1243,"to_index":143,"sum":46708,"residue":268}],"minimal_cycle":[248,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[143,363],"circle_positions":430,"cycle_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":[144,364,584,804,1024,1244],"clock_positions":[144,364,584,804,1024,1244],"native_values":[28,273,243,58,243,273],"rotation_degrees":39.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[28,273,243,58,243,273],"beta":{"interval_sums":[45502,46862,48082,47292,47652,46862],"interval_residues":[352,422,352,422,352,422],"display_cycle":[352,422,352,422,352,422],"intervals":[{"from_index":144,"to_index":364,"sum":45502,"residue":352},{"from_index":364,"to_index":584,"sum":46862,"residue":422},{"from_index":584,"to_index":804,"sum":48082,"residue":352},{"from_index":804,"to_index":1024,"sum":47292,"residue":422},{"from_index":1024,"to_index":1244,"sum":47652,"residue":352},{"from_index":1244,"to_index":144,"sum":46862,"residue":422}],"minimal_cycle":[352,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[144,364],"circle_positions":430,"cycle_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":[145,365,585,805,1025,1245],"clock_positions":[145,365,585,805,1025,1245],"native_values":[25,405,240,405,25,190],"rotation_degrees":39.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,405,240,405,25,190],"beta":{"interval_sums":[45750,46700,47900,47130,47900,46700],"interval_residues":[170,260,170,260,170,260],"display_cycle":[170,260,170,260,170,260],"intervals":[{"from_index":145,"to_index":365,"sum":45750,"residue":170},{"from_index":365,"to_index":585,"sum":46700,"residue":260},{"from_index":585,"to_index":805,"sum":47900,"residue":170},{"from_index":805,"to_index":1025,"sum":47130,"residue":260},{"from_index":1025,"to_index":1245,"sum":47900,"residue":170},{"from_index":1245,"to_index":145,"sum":46700,"residue":260}],"minimal_cycle":[170,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[145,365],"circle_positions":430,"cycle_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":[146,366,586,806,1026,1246],"clock_positions":[146,366,586,806,1026,1246],"native_values":[53,248,53,33,268,33],"rotation_degrees":39.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,248,53,33,268,33],"beta":{"interval_sums":[46102,46692,48252,47122,47822,46692],"interval_residues":[92,252,92,252,92,252],"display_cycle":[92,252,92,252,92,252],"intervals":[{"from_index":146,"to_index":366,"sum":46102,"residue":92},{"from_index":366,"to_index":586,"sum":46692,"residue":252},{"from_index":586,"to_index":806,"sum":48252,"residue":92},{"from_index":806,"to_index":1026,"sum":47122,"residue":252},{"from_index":1026,"to_index":1246,"sum":47822,"residue":92},{"from_index":1246,"to_index":146,"sum":46692,"residue":252}],"minimal_cycle":[92,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[146,366],"circle_positions":430,"cycle_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":[147,367,587,807,1027,1247],"clock_positions":[147,367,587,807,1027,1247],"native_values":[78,223,293,8,293,223],"rotation_degrees":40.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,223,293,8,293,223],"beta":{"interval_sums":[46272,46522,47992,47382,47562,46522],"interval_residues":[262,82,262,82,262,82],"display_cycle":[262,82,262,82,262,82],"intervals":[{"from_index":147,"to_index":367,"sum":46272,"residue":262},{"from_index":367,"to_index":587,"sum":46522,"residue":82},{"from_index":587,"to_index":807,"sum":47992,"residue":262},{"from_index":807,"to_index":1027,"sum":47382,"residue":82},{"from_index":1027,"to_index":1247,"sum":47562,"residue":262},{"from_index":1247,"to_index":147,"sum":46522,"residue":82}],"minimal_cycle":[262,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[147,367],"circle_positions":430,"cycle_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":[148,368,588,808,1028,1248],"clock_positions":[148,368,588,808,1028,1248],"native_values":[131,41,346,41,131,256],"rotation_degrees":40.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,41,346,41,131,256],"beta":{"interval_sums":[46364,46774,47654,47634,47654,46344],"interval_residues":[354,334,354,334,354,334],"display_cycle":[354,334,354,334,354,334],"intervals":[{"from_index":148,"to_index":368,"sum":46364,"residue":354},{"from_index":368,"to_index":588,"sum":46774,"residue":334},{"from_index":588,"to_index":808,"sum":47654,"residue":354},{"from_index":808,"to_index":1028,"sum":47634,"residue":334},{"from_index":1028,"to_index":1248,"sum":47654,"residue":354},{"from_index":1248,"to_index":148,"sum":46344,"residue":334}],"minimal_cycle":[354,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[148,368],"circle_positions":430,"cycle_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":[149,369,589,809,1029,1249],"clock_positions":[149,369,589,809,1029,1249],"native_values":[209,264,209,49,424,49],"rotation_degrees":40.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,264,209,49,424,49],"beta":{"interval_sums":[46196,46856,47486,47716,47486,46426],"interval_residues":[186,416,186,416,186,416],"display_cycle":[186,416,186,416,186,416],"intervals":[{"from_index":149,"to_index":369,"sum":46196,"residue":186},{"from_index":369,"to_index":589,"sum":46856,"residue":416},{"from_index":589,"to_index":809,"sum":47486,"residue":186},{"from_index":809,"to_index":1029,"sum":47716,"residue":416},{"from_index":1029,"to_index":1249,"sum":47486,"residue":186},{"from_index":1249,"to_index":149,"sum":46426,"residue":416}],"minimal_cycle":[186,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[149,369],"circle_positions":430,"cycle_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":[150,370,590,810,1030,1250],"clock_positions":[150,370,590,810,1030,1250],"native_values":[340,305,125,90,125,305],"rotation_degrees":40.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,305,125,90,125,305],"beta":{"interval_sums":[46120,46760,47410,48050,47410,46330],"interval_residues":[110,320,110,320,110,320],"display_cycle":[110,320,110,320,110,320],"intervals":[{"from_index":150,"to_index":370,"sum":46120,"residue":110},{"from_index":370,"to_index":590,"sum":46760,"residue":320},{"from_index":590,"to_index":810,"sum":47410,"residue":110},{"from_index":810,"to_index":1030,"sum":48050,"residue":320},{"from_index":1030,"to_index":1250,"sum":47410,"residue":110},{"from_index":1250,"to_index":150,"sum":46330,"residue":320}],"minimal_cycle":[110,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[150,370],"circle_positions":430,"cycle_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":[151,371,591,811,1031,1251],"clock_positions":[151,371,591,811,1031,1251],"native_values":[119,139,334,139,119,354],"rotation_degrees":41.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,139,334,139,119,354],"beta":{"interval_sums":[46306,46746,47166,48036,47596,46316],"interval_residues":[296,306,296,306,296,306],"display_cycle":[296,306,296,306,296,306],"intervals":[{"from_index":151,"to_index":371,"sum":46306,"residue":296},{"from_index":371,"to_index":591,"sum":46746,"residue":306},{"from_index":591,"to_index":811,"sum":47166,"residue":296},{"from_index":811,"to_index":1031,"sum":48036,"residue":306},{"from_index":1031,"to_index":1251,"sum":47596,"residue":296},{"from_index":1251,"to_index":151,"sum":46316,"residue":306}],"minimal_cycle":[296,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[151,371],"circle_positions":430,"cycle_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":[152,372,592,812,1032,1252],"clock_positions":[152,372,592,812,1032,1252],"native_values":[29,14,29,229,244,229],"rotation_degrees":41.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,14,29,229,244,229],"beta":{"interval_sums":[46416,47066,47276,47926,47706,46206],"interval_residues":[406,196,406,196,406,196],"display_cycle":[406,196,406,196,406,196],"intervals":[{"from_index":152,"to_index":372,"sum":46416,"residue":406},{"from_index":372,"to_index":592,"sum":47066,"residue":196},{"from_index":592,"to_index":812,"sum":47276,"residue":406},{"from_index":812,"to_index":1032,"sum":47926,"residue":196},{"from_index":1032,"to_index":1252,"sum":47706,"residue":406},{"from_index":1252,"to_index":152,"sum":46206,"residue":196}],"minimal_cycle":[406,196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[152,372],"circle_positions":430,"cycle_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":[153,373,593,813,1033,1253],"clock_positions":[153,373,593,813,1033,1253],"native_values":[148,153,363,368,363,153],"rotation_degrees":41.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,153,363,368,363,153],"beta":{"interval_sums":[46282,46942,47142,47802,47572,46082],"interval_residues":[272,72,272,72,272,72],"display_cycle":[272,72,272,72,272,72],"intervals":[{"from_index":153,"to_index":373,"sum":46282,"residue":272},{"from_index":373,"to_index":593,"sum":46942,"residue":72},{"from_index":593,"to_index":813,"sum":47142,"residue":272},{"from_index":813,"to_index":1033,"sum":47802,"residue":72},{"from_index":1033,"to_index":1253,"sum":47572,"residue":272},{"from_index":1253,"to_index":153,"sum":46082,"residue":72}],"minimal_cycle":[272,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[153,373],"circle_positions":430,"cycle_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":[154,374,594,814,1034,1254],"clock_positions":[154,374,594,814,1034,1254],"native_values":[177,167,392,167,177,382],"rotation_degrees":42.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,167,392,167,177,382],"beta":{"interval_sums":[46258,47138,47118,47998,47548,45848],"interval_residues":[248,268,248,268,248,268],"display_cycle":[248,268,248,268,248,268],"intervals":[{"from_index":154,"to_index":374,"sum":46258,"residue":248},{"from_index":374,"to_index":594,"sum":47138,"residue":268},{"from_index":594,"to_index":814,"sum":47118,"residue":248},{"from_index":814,"to_index":1034,"sum":47998,"residue":268},{"from_index":1034,"to_index":1254,"sum":47548,"residue":248},{"from_index":1254,"to_index":154,"sum":45848,"residue":268}],"minimal_cycle":[248,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[154,374],"circle_positions":430,"cycle_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":[155,375,595,815,1035,1255],"clock_positions":[155,375,595,815,1035,1255],"native_values":[325,320,325,105,110,105],"rotation_degrees":42.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,320,325,105,110,105],"beta":{"interval_sums":[46100,47210,46960,48070,47820,45920],"interval_residues":[90,340,90,340,90,340],"display_cycle":[90,340,90,340,90,340],"intervals":[{"from_index":155,"to_index":375,"sum":46100,"residue":90},{"from_index":375,"to_index":595,"sum":47210,"residue":340},{"from_index":595,"to_index":815,"sum":46960,"residue":90},{"from_index":815,"to_index":1035,"sum":48070,"residue":340},{"from_index":1035,"to_index":1255,"sum":47820,"residue":90},{"from_index":1255,"to_index":155,"sum":45920,"residue":340}],"minimal_cycle":[90,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[155,375],"circle_positions":430,"cycle_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":[156,376,596,816,1036,1256],"clock_positions":[156,376,596,816,1036,1256],"native_values":[72,57,287,272,287,57],"rotation_degrees":42.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,57,287,272,287,57],"beta":{"interval_sums":[46348,47478,46778,47908,47638,46188],"interval_residues":[338,178,338,178,338,178],"display_cycle":[338,178,338,178,338,178],"intervals":[{"from_index":156,"to_index":376,"sum":46348,"residue":338},{"from_index":376,"to_index":596,"sum":47478,"residue":178},{"from_index":596,"to_index":816,"sum":46778,"residue":338},{"from_index":816,"to_index":1036,"sum":47908,"residue":178},{"from_index":1036,"to_index":1256,"sum":47638,"residue":338},{"from_index":1256,"to_index":156,"sum":46188,"residue":178}],"minimal_cycle":[338,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[156,376],"circle_positions":430,"cycle_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":[157,377,597,817,1037,1257],"clock_positions":[157,377,597,817,1037,1257],"native_values":[397,377,182,377,397,162],"rotation_degrees":42.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,377,182,377,397,162],"beta":{"interval_sums":[46008,47388,46868,47818,47298,46098],"interval_residues":[428,88,428,88,428,88],"display_cycle":[428,88,428,88,428,88],"intervals":[{"from_index":157,"to_index":377,"sum":46008,"residue":428},{"from_index":377,"to_index":597,"sum":47388,"residue":88},{"from_index":597,"to_index":817,"sum":46868,"residue":428},{"from_index":817,"to_index":1037,"sum":47818,"residue":88},{"from_index":1037,"to_index":1257,"sum":47298,"residue":428},{"from_index":1257,"to_index":157,"sum":46098,"residue":88}],"minimal_cycle":[428,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[157,377],"circle_positions":430,"cycle_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":[158,378,598,818,1038,1258],"clock_positions":[158,378,598,818,1038,1258],"native_values":[39,4,39,219,254,219],"rotation_degrees":43.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,4,39,219,254,219],"beta":{"interval_sums":[46346,47566,47206,47996,47206,46276],"interval_residues":[336,266,336,266,336,266],"display_cycle":[336,266,336,266,336,266],"intervals":[{"from_index":158,"to_index":378,"sum":46346,"residue":336},{"from_index":378,"to_index":598,"sum":47566,"residue":266},{"from_index":598,"to_index":818,"sum":47206,"residue":336},{"from_index":818,"to_index":1038,"sum":47996,"residue":266},{"from_index":1038,"to_index":1258,"sum":47206,"residue":336},{"from_index":1258,"to_index":158,"sum":46276,"residue":266}],"minimal_cycle":[336,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[158,378],"circle_positions":430,"cycle_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":[159,379,599,819,1039,1259],"clock_positions":[159,379,599,819,1039,1259],"native_values":[6,381,221,166,221,381],"rotation_degrees":43.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[6,381,221,166,221,381],"beta":{"interval_sums":[46344,47224,47204,48084,47204,45934],"interval_residues":[334,354,334,354,334,354],"display_cycle":[334,354,334,354,334,354],"intervals":[{"from_index":159,"to_index":379,"sum":46344,"residue":334},{"from_index":379,"to_index":599,"sum":47224,"residue":354},{"from_index":599,"to_index":819,"sum":47204,"residue":334},{"from_index":819,"to_index":1039,"sum":48084,"residue":354},{"from_index":1039,"to_index":1259,"sum":47204,"residue":334},{"from_index":1259,"to_index":159,"sum":45934,"residue":354}],"minimal_cycle":[334,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[159,379],"circle_positions":430,"cycle_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":[160,380,600,820,1040,1260],"clock_positions":[160,380,600,820,1040,1260],"native_values":[45,385,260,385,45,170],"rotation_degrees":43.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,385,260,385,45,170],"beta":{"interval_sums":[46680,47060,47110,47920,47540,45770],"interval_residues":[240,190,240,190,240,190],"display_cycle":[240,190,240,190,240,190],"intervals":[{"from_index":160,"to_index":380,"sum":46680,"residue":240},{"from_index":380,"to_index":600,"sum":47060,"residue":190},{"from_index":600,"to_index":820,"sum":47110,"residue":240},{"from_index":820,"to_index":1040,"sum":47920,"residue":190},{"from_index":1040,"to_index":1260,"sum":47540,"residue":240},{"from_index":1260,"to_index":160,"sum":45770,"residue":190}],"minimal_cycle":[240,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[160,380],"circle_positions":430,"cycle_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":[161,381,601,821,1041,1261],"clock_positions":[161,381,601,821,1041,1261],"native_values":[51,336,51,121,266,121],"rotation_degrees":43.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,336,51,121,266,121],"beta":{"interval_sums":[47014,46984,47444,47844,47444,45694],"interval_residues":[144,114,144,114,144,114],"display_cycle":[144,114,144,114,144,114],"intervals":[{"from_index":161,"to_index":381,"sum":47014,"residue":144},{"from_index":381,"to_index":601,"sum":46984,"residue":114},{"from_index":601,"to_index":821,"sum":47444,"residue":144},{"from_index":821,"to_index":1041,"sum":47844,"residue":114},{"from_index":1041,"to_index":1261,"sum":47444,"residue":144},{"from_index":1261,"to_index":161,"sum":45694,"residue":114}],"minimal_cycle":[144,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[161,381],"circle_positions":430,"cycle_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":[162,382,602,822,1042,1262],"clock_positions":[162,382,602,822,1042,1262],"native_values":[96,291,311,76,311,291],"rotation_degrees":44.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,291,311,76,311,291],"beta":{"interval_sums":[47254,46744,47254,48034,47254,45454],"interval_residues":[384,304,384,304,384,304],"display_cycle":[384,304,384,304,384,304],"intervals":[{"from_index":162,"to_index":382,"sum":47254,"residue":384},{"from_index":382,"to_index":602,"sum":46744,"residue":304},{"from_index":602,"to_index":822,"sum":47254,"residue":384},{"from_index":822,"to_index":1042,"sum":48034,"residue":304},{"from_index":1042,"to_index":1262,"sum":47254,"residue":384},{"from_index":1262,"to_index":162,"sum":45454,"residue":304}],"minimal_cycle":[384,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[162,382],"circle_positions":430,"cycle_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":[163,383,603,823,1043,1263],"clock_positions":[163,383,603,823,1043,1263],"native_values":[147,197,362,197,147,412],"rotation_degrees":44.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[147,197,362,197,147,412],"beta":{"interval_sums":[47398,46858,46968,48148,47398,45138],"interval_residues":[98,418,98,418,98,418],"display_cycle":[98,418,98,418,98,418],"intervals":[{"from_index":163,"to_index":383,"sum":47398,"residue":98},{"from_index":383,"to_index":603,"sum":46858,"residue":418},{"from_index":603,"to_index":823,"sum":46968,"residue":98},{"from_index":823,"to_index":1043,"sum":48148,"residue":418},{"from_index":1043,"to_index":1263,"sum":47398,"residue":98},{"from_index":1263,"to_index":163,"sum":45138,"residue":418}],"minimal_cycle":[98,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[163,383],"circle_positions":430,"cycle_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":[164,384,604,824,1044,1264],"clock_positions":[164,384,604,824,1044,1264],"native_values":[243,58,243,273,28,273],"rotation_degrees":44.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,58,243,273,28,273],"beta":{"interval_sums":[47352,47162,46922,48022,47782,45012],"interval_residues":[52,292,52,292,52,292],"display_cycle":[52,292,52,292,52,292],"intervals":[{"from_index":164,"to_index":384,"sum":47352,"residue":52},{"from_index":384,"to_index":604,"sum":47162,"residue":292},{"from_index":604,"to_index":824,"sum":46922,"residue":52},{"from_index":824,"to_index":1044,"sum":48022,"residue":292},{"from_index":1044,"to_index":1264,"sum":47782,"residue":52},{"from_index":1264,"to_index":164,"sum":45012,"residue":292}],"minimal_cycle":[52,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[164,384],"circle_positions":430,"cycle_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":[165,385,605,825,1045,1265],"clock_positions":[165,385,605,825,1045,1265],"native_values":[390,255,175,40,175,255],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,255,175,40,175,255],"beta":{"interval_sums":[47020,47150,47020,48010,47880,45000],"interval_residues":[150,280,150,280,150,280],"display_cycle":[150,280,150,280,150,280],"intervals":[{"from_index":165,"to_index":385,"sum":47020,"residue":150},{"from_index":385,"to_index":605,"sum":47150,"residue":280},{"from_index":605,"to_index":825,"sum":47020,"residue":150},{"from_index":825,"to_index":1045,"sum":48010,"residue":280},{"from_index":1045,"to_index":1265,"sum":47880,"residue":150},{"from_index":1265,"to_index":165,"sum":45000,"residue":280}],"minimal_cycle":[150,280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[165,385],"circle_positions":430,"cycle_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":[166,386,606,826,1046,1266],"clock_positions":[166,386,606,826,1046,1266],"native_values":[203,313,418,313,203,98],"rotation_degrees":45.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,313,418,313,203,98],"beta":{"interval_sums":[47072,47012,46642,47872,47932,45292],"interval_residues":[202,142,202,142,202,142],"display_cycle":[202,142,202,142,202,142],"intervals":[{"from_index":166,"to_index":386,"sum":47072,"residue":202},{"from_index":386,"to_index":606,"sum":47012,"residue":142},{"from_index":606,"to_index":826,"sum":46642,"residue":202},{"from_index":826,"to_index":1046,"sum":47872,"residue":142},{"from_index":1046,"to_index":1266,"sum":47932,"residue":202},{"from_index":1266,"to_index":166,"sum":45292,"residue":142}],"minimal_cycle":[202,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[166,386],"circle_positions":430,"cycle_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":[167,387,607,827,1047,1267],"clock_positions":[167,387,607,827,1047,1267],"native_values":[163,138,163,353,378,353],"rotation_degrees":45.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,138,163,353,378,353],"beta":{"interval_sums":[47222,47292,46792,47722,47652,45142],"interval_residues":[352,422,352,422,352,422],"display_cycle":[352,422,352,422,352,422],"intervals":[{"from_index":167,"to_index":387,"sum":47222,"residue":352},{"from_index":387,"to_index":607,"sum":47292,"residue":422},{"from_index":607,"to_index":827,"sum":46792,"residue":352},{"from_index":827,"to_index":1047,"sum":47722,"residue":422},{"from_index":1047,"to_index":1267,"sum":47652,"residue":352},{"from_index":1267,"to_index":167,"sum":45142,"residue":422}],"minimal_cycle":[352,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[167,387],"circle_positions":430,"cycle_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":[168,388,608,828,1048,1268],"clock_positions":[168,388,608,828,1048,1268],"native_values":[366,21,151,236,151,21],"rotation_degrees":45.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[366,21,151,236,151,21],"beta":{"interval_sums":[46994,47434,46994,47864,47854,45284],"interval_residues":[124,134,124,134,124,134],"display_cycle":[124,134,124,134,124,134],"intervals":[{"from_index":168,"to_index":388,"sum":46994,"residue":124},{"from_index":388,"to_index":608,"sum":47434,"residue":134},{"from_index":608,"to_index":828,"sum":46994,"residue":124},{"from_index":828,"to_index":1048,"sum":47864,"residue":134},{"from_index":1048,"to_index":1268,"sum":47854,"residue":124},{"from_index":1268,"to_index":168,"sum":45284,"residue":134}],"minimal_cycle":[124,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[168,388],"circle_positions":430,"cycle_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":[169,389,609,829,1049,1269],"clock_positions":[169,389,609,829,1049,1269],"native_values":[99,159,314,159,99,374],"rotation_degrees":46.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,159,314,159,99,374],"beta":{"interval_sums":[46916,47426,46916,47856,47776,45276],"interval_residues":[46,126,46,126,46,126],"display_cycle":[46,126,46,126,46,126],"intervals":[{"from_index":169,"to_index":389,"sum":46916,"residue":46},{"from_index":389,"to_index":609,"sum":47426,"residue":126},{"from_index":609,"to_index":829,"sum":46916,"residue":46},{"from_index":829,"to_index":1049,"sum":47856,"residue":126},{"from_index":1049,"to_index":1269,"sum":47776,"residue":46},{"from_index":1269,"to_index":169,"sum":45276,"residue":126}],"minimal_cycle":[46,126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[169,389],"circle_positions":430,"cycle_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":[170,390,610,830,1050,1270],"clock_positions":[170,390,610,830,1050,1270],"native_values":[35,180,35,395,250,395],"rotation_degrees":46.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,180,35,395,250,395],"beta":{"interval_sums":[47040,47560,47040,47560,47900,44980],"interval_residues":[170,260,170,260,170,260],"display_cycle":[170,260,170,260,170,260],"intervals":[{"from_index":170,"to_index":390,"sum":47040,"residue":170},{"from_index":390,"to_index":610,"sum":47560,"residue":260},{"from_index":610,"to_index":830,"sum":47040,"residue":170},{"from_index":830,"to_index":1050,"sum":47560,"residue":260},{"from_index":1050,"to_index":1270,"sum":47900,"residue":170},{"from_index":1270,"to_index":170,"sum":44980,"residue":260}],"minimal_cycle":[170,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[170,390],"circle_positions":430,"cycle_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":[171,391,611,831,1051,1271],"clock_positions":[171,391,611,831,1051,1271],"native_values":[134,339,349,124,349,339],"rotation_degrees":46.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,339,349,124,349,339],"beta":{"interval_sums":[47086,47256,47086,47686,47946,44676],"interval_residues":[216,386,216,386,216,386],"display_cycle":[216,386,216,386,216,386],"intervals":[{"from_index":171,"to_index":391,"sum":47086,"residue":216},{"from_index":391,"to_index":611,"sum":47256,"residue":386},{"from_index":611,"to_index":831,"sum":47086,"residue":216},{"from_index":831,"to_index":1051,"sum":47686,"residue":386},{"from_index":1051,"to_index":1271,"sum":47946,"residue":216},{"from_index":1271,"to_index":171,"sum":44676,"residue":386}],"minimal_cycle":[216,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[171,391],"circle_positions":430,"cycle_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":[172,392,612,832,1052,1272],"clock_positions":[172,392,612,832,1052,1272],"native_values":[169,89,384,89,169,304],"rotation_degrees":46.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,89,384,89,169,304],"beta":{"interval_sums":[47256,47516,46826,47946,48116,44506],"interval_residues":[386,216,386,216,386,216],"display_cycle":[386,216,386,216,386,216],"intervals":[{"from_index":172,"to_index":392,"sum":47256,"residue":386},{"from_index":392,"to_index":612,"sum":47516,"residue":216},{"from_index":612,"to_index":832,"sum":46826,"residue":386},{"from_index":832,"to_index":1052,"sum":47946,"residue":216},{"from_index":1052,"to_index":1272,"sum":48116,"residue":386},{"from_index":1272,"to_index":172,"sum":44506,"residue":216}],"minimal_cycle":[386,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[172,392],"circle_positions":430,"cycle_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":[173,393,613,833,1053,1273],"clock_positions":[173,393,613,833,1053,1273],"native_values":[303,428,303,213,88,213],"rotation_degrees":47.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,428,303,213,88,213],"beta":{"interval_sums":[47042,47472,46612,47902,48332,44462],"interval_residues":[172,172,172,172,172,172],"display_cycle":[172,172,172,172,172,172],"intervals":[{"from_index":173,"to_index":393,"sum":47042,"residue":172},{"from_index":393,"to_index":613,"sum":47472,"residue":172},{"from_index":613,"to_index":833,"sum":46612,"residue":172},{"from_index":833,"to_index":1053,"sum":47902,"residue":172},{"from_index":1053,"to_index":1273,"sum":48332,"residue":172},{"from_index":1273,"to_index":173,"sum":44462,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[173,393],"circle_positions":430,"cycle_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":[174,394,614,834,1054,1274],"clock_positions":[174,394,614,834,1054,1274],"native_values":[42,87,257,302,257,87],"rotation_degrees":47.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,87,257,302,257,87],"beta":{"interval_sums":[47428,47688,46568,47688,48288,44678],"interval_residues":[128,388,128,388,128,388],"display_cycle":[128,388,128,388,128,388],"intervals":[{"from_index":174,"to_index":394,"sum":47428,"residue":128},{"from_index":394,"to_index":614,"sum":47688,"residue":388},{"from_index":614,"to_index":834,"sum":46568,"residue":128},{"from_index":834,"to_index":1054,"sum":47688,"residue":388},{"from_index":1054,"to_index":1274,"sum":48288,"residue":128},{"from_index":1274,"to_index":174,"sum":44678,"residue":388}],"minimal_cycle":[128,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[174,394],"circle_positions":430,"cycle_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":[175,395,615,835,1055,1275],"clock_positions":[175,395,615,835,1055,1275],"native_values":[345,85,130,85,345,300],"rotation_degrees":47.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,85,130,85,345,300],"beta":{"interval_sums":[47170,47860,46740,47860,48030,44420],"interval_residues":[300,130,300,130,300,130],"display_cycle":[300,130,300,130,300,130],"intervals":[{"from_index":175,"to_index":395,"sum":47170,"residue":300},{"from_index":395,"to_index":615,"sum":47860,"residue":130},{"from_index":615,"to_index":835,"sum":46740,"residue":300},{"from_index":835,"to_index":1055,"sum":47860,"residue":130},{"from_index":1055,"to_index":1275,"sum":48030,"residue":300},{"from_index":1275,"to_index":175,"sum":44420,"residue":130}],"minimal_cycle":[300,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[175,395],"circle_positions":430,"cycle_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":[176,396,616,836,1056,1276],"clock_positions":[176,396,616,836,1056,1276],"native_values":[387,172,387,387,172,387],"rotation_degrees":48.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,172,387],"beta":{"interval_sums":[46868,47818,46438,47818,48158,44378],"interval_residues":[428,88,428,88,428,88],"display_cycle":[428,88,428,88,428,88],"intervals":[{"from_index":176,"to_index":396,"sum":46868,"residue":428},{"from_index":396,"to_index":616,"sum":47818,"residue":88},{"from_index":616,"to_index":836,"sum":46438,"residue":428},{"from_index":836,"to_index":1056,"sum":47818,"residue":88},{"from_index":1056,"to_index":1276,"sum":48158,"residue":428},{"from_index":1276,"to_index":176,"sum":44378,"residue":88}],"minimal_cycle":[428,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[176,396],"circle_positions":430,"cycle_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":[177,397,617,837,1057,1277],"clock_positions":[177,397,617,837,1057,1277],"native_values":[302,257,87,42,87,257],"rotation_degrees":48.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,257,87,42,87,257],"beta":{"interval_sums":[46738,47948,46738,47948,48458,44508],"interval_residues":[298,218,298,218,298,218],"display_cycle":[298,218,298,218,298,218],"intervals":[{"from_index":177,"to_index":397,"sum":46738,"residue":298},{"from_index":397,"to_index":617,"sum":47948,"residue":218},{"from_index":617,"to_index":837,"sum":46738,"residue":298},{"from_index":837,"to_index":1057,"sum":47948,"residue":218},{"from_index":1057,"to_index":1277,"sum":48458,"residue":298},{"from_index":1277,"to_index":177,"sum":44508,"residue":218}],"minimal_cycle":[298,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[177,397],"circle_positions":430,"cycle_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":[178,398,618,838,1058,1278],"clock_positions":[178,398,618,838,1058,1278],"native_values":[259,429,44,429,259,214],"rotation_degrees":48.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,429,44,429,259,214],"beta":{"interval_sums":[46736,47606,46736,47606,48456,44596],"interval_residues":[296,306,296,306,296,306],"display_cycle":[296,306,296,306,296,306],"intervals":[{"from_index":178,"to_index":398,"sum":46736,"residue":296},{"from_index":398,"to_index":618,"sum":47606,"residue":306},{"from_index":618,"to_index":838,"sum":46736,"residue":296},{"from_index":838,"to_index":1058,"sum":47606,"residue":306},{"from_index":1058,"to_index":1278,"sum":48456,"residue":296},{"from_index":1278,"to_index":178,"sum":44596,"residue":306}],"minimal_cycle":[296,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[178,398],"circle_positions":430,"cycle_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":[179,399,619,839,1059,1279],"clock_positions":[179,399,619,839,1059,1279],"native_values":[131,256,131,41,346,41],"rotation_degrees":48.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,256,131,41,346,41],"beta":{"interval_sums":[47034,47394,47034,47824,48324,44814],"interval_residues":[164,94,164,94,164,94],"display_cycle":[164,94,164,94,164,94],"intervals":[{"from_index":179,"to_index":399,"sum":47034,"residue":164},{"from_index":399,"to_index":619,"sum":47394,"residue":94},{"from_index":619,"to_index":839,"sum":47034,"residue":164},{"from_index":839,"to_index":1059,"sum":47824,"residue":94},{"from_index":1059,"to_index":1279,"sum":48324,"residue":164},{"from_index":1279,"to_index":179,"sum":44814,"residue":94}],"minimal_cycle":[164,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[179,399],"circle_positions":430,"cycle_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":[180,400,620,840,1060,1280],"clock_positions":[180,400,620,840,1060,1280],"native_values":[390,255,175,40,175,255],"rotation_degrees":49.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[390,255,175,40,175,255],"beta":{"interval_sums":[46900,47270,46900,48130,48190,44690],"interval_residues":[30,400,30,400,30,400],"display_cycle":[30,400,30,400,30,400],"intervals":[{"from_index":180,"to_index":400,"sum":46900,"residue":30},{"from_index":400,"to_index":620,"sum":47270,"residue":400},{"from_index":620,"to_index":840,"sum":46900,"residue":30},{"from_index":840,"to_index":1060,"sum":48130,"residue":400},{"from_index":1060,"to_index":1280,"sum":48190,"residue":30},{"from_index":1280,"to_index":180,"sum":44690,"residue":400}],"minimal_cycle":[30,400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[180,400],"circle_positions":430,"cycle_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":[181,401,621,841,1061,1281],"clock_positions":[181,401,621,841,1061,1281],"native_values":[91,81,306,81,91,296],"rotation_degrees":49.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,81,306,81,91,296],"beta":{"interval_sums":[47064,47364,46634,48224,48354,44784],"interval_residues":[194,64,194,64,194,64],"display_cycle":[194,64,194,64,194,64],"intervals":[{"from_index":181,"to_index":401,"sum":47064,"residue":194},{"from_index":401,"to_index":621,"sum":47364,"residue":64},{"from_index":621,"to_index":841,"sum":46634,"residue":194},{"from_index":841,"to_index":1061,"sum":48224,"residue":64},{"from_index":1061,"to_index":1281,"sum":48354,"residue":194},{"from_index":1281,"to_index":181,"sum":44784,"residue":64}],"minimal_cycle":[194,64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[181,401],"circle_positions":430,"cycle_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":[182,402,622,842,1062,1282],"clock_positions":[182,402,622,842,1062,1282],"native_values":[51,336,51,121,266,121],"rotation_degrees":49.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,336,51,121,266,121],"beta":{"interval_sums":[47094,47334,46664,48194,48384,44754],"interval_residues":[224,34,224,34,224,34],"display_cycle":[224,34,224,34,224,34],"intervals":[{"from_index":182,"to_index":402,"sum":47094,"residue":224},{"from_index":402,"to_index":622,"sum":47334,"residue":34},{"from_index":622,"to_index":842,"sum":46664,"residue":224},{"from_index":842,"to_index":1062,"sum":48194,"residue":34},{"from_index":1062,"to_index":1282,"sum":48384,"residue":224},{"from_index":1282,"to_index":182,"sum":44754,"residue":34}],"minimal_cycle":[224,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[182,402],"circle_positions":430,"cycle_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":[183,403,623,843,1063,1283],"clock_positions":[183,403,623,843,1063,1283],"native_values":[142,417,357,202,357,417],"rotation_degrees":49.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[142,417,357,202,357,417],"beta":{"interval_sums":[47288,46968,46428,48258,48148,44388],"interval_residues":[418,98,418,98,418,98],"display_cycle":[418,98,418,98,418,98],"intervals":[{"from_index":183,"to_index":403,"sum":47288,"residue":418},{"from_index":403,"to_index":623,"sum":46968,"residue":98},{"from_index":623,"to_index":843,"sum":46428,"residue":418},{"from_index":843,"to_index":1063,"sum":48258,"residue":98},{"from_index":1063,"to_index":1283,"sum":48148,"residue":418},{"from_index":1283,"to_index":183,"sum":44388,"residue":98}],"minimal_cycle":[418,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[183,403],"circle_positions":430,"cycle_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":[184,404,624,844,1064,1284],"clock_positions":[184,404,624,844,1064,1284],"native_values":[193,323,408,323,193,108],"rotation_degrees":50.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,323,408,323,193,108],"beta":{"interval_sums":[47512,47002,46222,48292,48372,44422],"interval_residues":[212,132,212,132,212,132],"display_cycle":[212,132,212,132,212,132],"intervals":[{"from_index":184,"to_index":404,"sum":47512,"residue":212},{"from_index":404,"to_index":624,"sum":47002,"residue":132},{"from_index":624,"to_index":844,"sum":46222,"residue":212},{"from_index":844,"to_index":1064,"sum":48292,"residue":132},{"from_index":1064,"to_index":1284,"sum":48372,"residue":212},{"from_index":1284,"to_index":184,"sum":44422,"residue":132}],"minimal_cycle":[212,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[184,404],"circle_positions":430,"cycle_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":[185,405,625,845,1065,1285],"clock_positions":[185,405,625,845,1065,1285],"native_values":[335,310,335,95,120,95],"rotation_degrees":50.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,310,335,95,120,95],"beta":{"interval_sums":[47500,47100,46210,48390,48360,44520],"interval_residues":[200,230,200,230,200,230],"display_cycle":[200,230,200,230,200,230],"intervals":[{"from_index":185,"to_index":405,"sum":47500,"residue":200},{"from_index":405,"to_index":625,"sum":47100,"residue":230},{"from_index":625,"to_index":845,"sum":46210,"residue":200},{"from_index":845,"to_index":1065,"sum":48390,"residue":230},{"from_index":1065,"to_index":1285,"sum":48360,"residue":200},{"from_index":1285,"to_index":185,"sum":44520,"residue":230}],"minimal_cycle":[200,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[185,405],"circle_positions":430,"cycle_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":[186,406,626,846,1066,1286],"clock_positions":[186,406,626,846,1066,1286],"native_values":[98,203,313,418,313,203],"rotation_degrees":50.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,203,313,418,313,203],"beta":{"interval_sums":[47712,47232,45992,48092,48142,44652],"interval_residues":[412,362,412,362,412,362],"display_cycle":[412,362,412,362,412,362],"intervals":[{"from_index":186,"to_index":406,"sum":47712,"residue":412},{"from_index":406,"to_index":626,"sum":47232,"residue":362},{"from_index":626,"to_index":846,"sum":45992,"residue":412},{"from_index":846,"to_index":1066,"sum":48092,"residue":362},{"from_index":1066,"to_index":1286,"sum":48142,"residue":412},{"from_index":1286,"to_index":186,"sum":44652,"residue":362}],"minimal_cycle":[412,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[186,406],"circle_positions":430,"cycle_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":[187,407,627,847,1067,1287],"clock_positions":[187,407,627,847,1067,1287],"native_values":[3,83,218,83,3,298],"rotation_degrees":51.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,83,218,83,3,298],"beta":{"interval_sums":[47912,47462,46192,48322,48342,44452],"interval_residues":[182,162,182,162,182,162],"display_cycle":[182,162,182,162,182,162],"intervals":[{"from_index":187,"to_index":407,"sum":47912,"residue":182},{"from_index":407,"to_index":627,"sum":47462,"residue":162},{"from_index":627,"to_index":847,"sum":46192,"residue":182},{"from_index":847,"to_index":1067,"sum":48322,"residue":162},{"from_index":1067,"to_index":1287,"sum":48342,"residue":182},{"from_index":1287,"to_index":187,"sum":44452,"residue":162}],"minimal_cycle":[182,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[187,407],"circle_positions":430,"cycle_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":[188,408,628,848,1068,1288],"clock_positions":[188,408,628,848,1068,1288],"native_values":[101,286,101,71,316,71],"rotation_degrees":51.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,286,101,71,316,71],"beta":{"interval_sums":[47894,47394,46174,48254,48324,44384],"interval_residues":[164,94,164,94,164,94],"display_cycle":[164,94,164,94,164,94],"intervals":[{"from_index":188,"to_index":408,"sum":47894,"residue":164},{"from_index":408,"to_index":628,"sum":47394,"residue":94},{"from_index":628,"to_index":848,"sum":46174,"residue":164},{"from_index":848,"to_index":1068,"sum":48254,"residue":94},{"from_index":1068,"to_index":1288,"sum":48324,"residue":164},{"from_index":1288,"to_index":188,"sum":44384,"residue":94}],"minimal_cycle":[164,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[188,408],"circle_positions":430,"cycle_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":[189,409,629,849,1069,1289],"clock_positions":[189,409,629,849,1069,1289],"native_values":[104,369,319,154,319,369],"rotation_degrees":51.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,369,319,154,319,369],"beta":{"interval_sums":[48076,47126,45926,48416,48076,44116],"interval_residues":[346,256,346,256,346,256],"display_cycle":[346,256,346,256,346,256],"intervals":[{"from_index":189,"to_index":409,"sum":48076,"residue":346},{"from_index":409,"to_index":629,"sum":47126,"residue":256},{"from_index":629,"to_index":849,"sum":45926,"residue":346},{"from_index":849,"to_index":1069,"sum":48416,"residue":256},{"from_index":1069,"to_index":1289,"sum":48076,"residue":346},{"from_index":1289,"to_index":189,"sum":44116,"residue":256}],"minimal_cycle":[346,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[189,409],"circle_positions":430,"cycle_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":[190,410,630,850,1070,1290],"clock_positions":[190,410,630,850,1070,1290],"native_values":[205,225,420,225,205,10],"rotation_degrees":51.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,225,420,225,205,10],"beta":{"interval_sums":[48240,47220,45660,48510,48240,44210],"interval_residues":[80,350,80,350,80,350],"display_cycle":[80,350,80,350,80,350],"intervals":[{"from_index":190,"to_index":410,"sum":48240,"residue":80},{"from_index":410,"to_index":630,"sum":47220,"residue":350},{"from_index":630,"to_index":850,"sum":45660,"residue":80},{"from_index":850,"to_index":1070,"sum":48510,"residue":350},{"from_index":1070,"to_index":1290,"sum":48240,"residue":80},{"from_index":1290,"to_index":190,"sum":44210,"residue":350}],"minimal_cycle":[80,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[190,410],"circle_positions":430,"cycle_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":[191,411,631,851,1071,1291],"clock_positions":[191,411,631,851,1071,1291],"native_values":[309,164,309,379,94,379],"rotation_degrees":52.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,164,309,379,94,379],"beta":{"interval_sums":[48156,47476,45576,48336,48156,44036],"interval_residues":[426,176,426,176,426,176],"display_cycle":[426,176,426,176,426,176],"intervals":[{"from_index":191,"to_index":411,"sum":48156,"residue":426},{"from_index":411,"to_index":631,"sum":47476,"residue":176},{"from_index":631,"to_index":851,"sum":45576,"residue":426},{"from_index":851,"to_index":1071,"sum":48336,"residue":176},{"from_index":1071,"to_index":1291,"sum":48156,"residue":426},{"from_index":1291,"to_index":191,"sum":44036,"residue":176}],"minimal_cycle":[426,176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[191,411],"circle_positions":430,"cycle_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":[192,412,632,852,1072,1292],"clock_positions":[192,412,632,852,1072,1292],"native_values":[84,389,299,174,299,389],"rotation_degrees":52.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[84,389,299,174,299,389],"beta":{"interval_sums":[48236,47396,45656,48256,48236,43956],"interval_residues":[76,96,76,96,76,96],"display_cycle":[76,96,76,96,76,96],"intervals":[{"from_index":192,"to_index":412,"sum":48236,"residue":76},{"from_index":412,"to_index":632,"sum":47396,"residue":96},{"from_index":632,"to_index":852,"sum":45656,"residue":76},{"from_index":852,"to_index":1072,"sum":48256,"residue":96},{"from_index":1072,"to_index":1292,"sum":48236,"residue":76},{"from_index":1292,"to_index":192,"sum":43956,"residue":96}],"minimal_cycle":[76,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[192,412],"circle_positions":430,"cycle_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":[193,413,633,853,1073,1293],"clock_positions":[193,413,633,853,1073,1293],"native_values":[393,123,178,123,393,338],"rotation_degrees":52.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,123,178,123,393,338],"beta":{"interval_sums":[48232,47572,45652,48432,48232,43702],"interval_residues":[72,272,72,272,72,272],"display_cycle":[72,272,72,272,72,272],"intervals":[{"from_index":193,"to_index":413,"sum":48232,"residue":72},{"from_index":413,"to_index":633,"sum":47572,"residue":272},{"from_index":633,"to_index":853,"sum":45652,"residue":72},{"from_index":853,"to_index":1073,"sum":48432,"residue":272},{"from_index":1073,"to_index":1293,"sum":48232,"residue":72},{"from_index":1293,"to_index":193,"sum":43702,"residue":272}],"minimal_cycle":[72,272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[193,413],"circle_positions":430,"cycle_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":[194,414,634,854,1074,1294],"clock_positions":[194,414,634,854,1074,1294],"native_values":[47,82,47,297,262,297],"rotation_degrees":52.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,82,47,297,262,297],"beta":{"interval_sums":[48308,47668,45728,48528,48308,43798],"interval_residues":[148,368,148,368,148,368],"display_cycle":[148,368,148,368,148,368],"intervals":[{"from_index":194,"to_index":414,"sum":48308,"residue":148},{"from_index":414,"to_index":634,"sum":47668,"residue":368},{"from_index":634,"to_index":854,"sum":45728,"residue":148},{"from_index":854,"to_index":1074,"sum":48528,"residue":368},{"from_index":1074,"to_index":1294,"sum":48308,"residue":148},{"from_index":1294,"to_index":194,"sum":43798,"residue":368}],"minimal_cycle":[148,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[194,414],"circle_positions":430,"cycle_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":[195,415,635,855,1075,1295],"clock_positions":[195,415,635,855,1075,1295],"native_values":[10,205,225,420,225,205],"rotation_degrees":53.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,205,225,420,225,205],"beta":{"interval_sums":[48380,47510,45800,48370,48380,43640],"interval_residues":[220,210,220,210,220,210],"display_cycle":[220,210,220,210,220,210],"intervals":[{"from_index":195,"to_index":415,"sum":48380,"residue":220},{"from_index":415,"to_index":635,"sum":47510,"residue":210},{"from_index":635,"to_index":855,"sum":45800,"residue":220},{"from_index":855,"to_index":1075,"sum":48370,"residue":210},{"from_index":1075,"to_index":1295,"sum":48380,"residue":220},{"from_index":1295,"to_index":195,"sum":43640,"residue":210}],"minimal_cycle":[220,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[195,415],"circle_positions":430,"cycle_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":[196,416,636,856,1076,1296],"clock_positions":[196,416,636,856,1076,1296],"native_values":[57,287,272,287,57,72],"rotation_degrees":53.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,287,272,287,57,72],"beta":{"interval_sums":[48528,47448,45948,48308,48528,43578],"interval_residues":[368,148,368,148,368,148],"display_cycle":[368,148,368,148,368,148],"intervals":[{"from_index":196,"to_index":416,"sum":48528,"residue":368},{"from_index":416,"to_index":636,"sum":47448,"residue":148},{"from_index":636,"to_index":856,"sum":45948,"residue":368},{"from_index":856,"to_index":1076,"sum":48308,"residue":148},{"from_index":1076,"to_index":1296,"sum":48528,"residue":368},{"from_index":1296,"to_index":196,"sum":43578,"residue":148}],"minimal_cycle":[368,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[196,416],"circle_positions":430,"cycle_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":[197,417,637,857,1077,1297],"clock_positions":[197,417,637,857,1077,1297],"native_values":[67,62,67,277,282,277],"rotation_degrees":53.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,62,67,277,282,277],"beta":{"interval_sums":[48748,47658,46168,48088,48318,43358],"interval_residues":[158,358,158,358,158,358],"display_cycle":[158,358,158,358,158,358],"intervals":[{"from_index":197,"to_index":417,"sum":48748,"residue":158},{"from_index":417,"to_index":637,"sum":47658,"residue":358},{"from_index":637,"to_index":857,"sum":46168,"residue":158},{"from_index":857,"to_index":1077,"sum":48088,"residue":358},{"from_index":1077,"to_index":1297,"sum":48318,"residue":158},{"from_index":1297,"to_index":197,"sum":43358,"residue":358}],"minimal_cycle":[158,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[197,417],"circle_positions":430,"cycle_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":[198,418,638,858,1078,1298],"clock_positions":[198,418,638,858,1078,1298],"native_values":[124,349,339,134,339,349],"rotation_degrees":54.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,349,339,134,339,349],"beta":{"interval_sums":[48686,47376,46106,48236,48256,43076],"interval_residues":[96,76,96,76,96,76],"display_cycle":[96,76,96,76,96,76],"intervals":[{"from_index":198,"to_index":418,"sum":48686,"residue":96},{"from_index":418,"to_index":638,"sum":47376,"residue":76},{"from_index":638,"to_index":858,"sum":46106,"residue":96},{"from_index":858,"to_index":1078,"sum":48236,"residue":76},{"from_index":1078,"to_index":1298,"sum":48256,"residue":96},{"from_index":1298,"to_index":198,"sum":43076,"residue":76}],"minimal_cycle":[96,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[198,418],"circle_positions":430,"cycle_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":[199,419,639,859,1079,1299],"clock_positions":[199,419,639,859,1079,1299],"native_values":[191,411,406,411,191,196],"rotation_degrees":54.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,411,406,411,191,196],"beta":{"interval_sums":[48844,47304,45834,48164,48414,43004],"interval_residues":[254,4,254,4,254,4],"display_cycle":[254,4,254,4,254,4],"intervals":[{"from_index":199,"to_index":419,"sum":48844,"residue":254},{"from_index":419,"to_index":639,"sum":47304,"residue":4},{"from_index":639,"to_index":859,"sum":45834,"residue":254},{"from_index":859,"to_index":1079,"sum":48164,"residue":4},{"from_index":1079,"to_index":1299,"sum":48414,"residue":254},{"from_index":1299,"to_index":199,"sum":43004,"residue":4}],"minimal_cycle":[254,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[199,419],"circle_positions":430,"cycle_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":[200,420,640,860,1080,1300],"clock_positions":[200,420,640,860,1080,1300],"native_values":[315,330,315,115,100,115],"rotation_degrees":54.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,330,315,115,100,115],"beta":{"interval_sums":[48940,47380,45930,48240,48510,43080],"interval_residues":[350,80,350,80,350,80],"display_cycle":[350,80,350,80,350,80],"intervals":[{"from_index":200,"to_index":420,"sum":48940,"residue":350},{"from_index":420,"to_index":640,"sum":47380,"residue":80},{"from_index":640,"to_index":860,"sum":45930,"residue":350},{"from_index":860,"to_index":1080,"sum":48240,"residue":80},{"from_index":1080,"to_index":1300,"sum":48510,"residue":350},{"from_index":1300,"to_index":200,"sum":43080,"residue":80}],"minimal_cycle":[350,80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[200,420],"circle_positions":430,"cycle_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":[201,421,641,861,1081,1301],"clock_positions":[201,421,641,861,1081,1301],"native_values":[76,311,291,96,291,311],"rotation_degrees":54.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,311,291,96,291,311],"beta":{"interval_sums":[49194,47384,45754,48244,48334,43084],"interval_residues":[174,84,174,84,174,84],"display_cycle":[174,84,174,84,174,84],"intervals":[{"from_index":201,"to_index":421,"sum":49194,"residue":174},{"from_index":421,"to_index":641,"sum":47384,"residue":84},{"from_index":641,"to_index":861,"sum":45754,"residue":174},{"from_index":861,"to_index":1081,"sum":48244,"residue":84},{"from_index":1081,"to_index":1301,"sum":48334,"residue":174},{"from_index":1301,"to_index":201,"sum":43084,"residue":84}],"minimal_cycle":[174,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[201,421],"circle_positions":430,"cycle_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":[202,422,642,862,1082,1302],"clock_positions":[202,422,642,862,1082,1302],"native_values":[391,211,176,211,391,426],"rotation_degrees":55.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,211,176,211,391,426],"beta":{"interval_sums":[49114,47464,45674,48324,48254,42734],"interval_residues":[94,164,94,164,94,164],"display_cycle":[94,164,94,164,94,164],"intervals":[{"from_index":202,"to_index":422,"sum":49114,"residue":94},{"from_index":422,"to_index":642,"sum":47464,"residue":164},{"from_index":642,"to_index":862,"sum":45674,"residue":94},{"from_index":862,"to_index":1082,"sum":48324,"residue":164},{"from_index":1082,"to_index":1302,"sum":48254,"residue":94},{"from_index":1302,"to_index":202,"sum":42734,"residue":164}],"minimal_cycle":[94,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[202,422],"circle_positions":430,"cycle_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":[203,423,643,863,1083,1303],"clock_positions":[203,423,643,863,1083,1303],"native_values":[37,92,37,307,252,307],"rotation_degrees":55.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,92,37,307,252,307],"beta":{"interval_sums":[49288,47548,45848,48408,48428,42818],"interval_residues":[268,248,268,248,268,248],"display_cycle":[268,248,268,248,268,248],"intervals":[{"from_index":203,"to_index":423,"sum":49288,"residue":268},{"from_index":423,"to_index":643,"sum":47548,"residue":248},{"from_index":643,"to_index":863,"sum":45848,"residue":268},{"from_index":863,"to_index":1083,"sum":48408,"residue":248},{"from_index":1083,"to_index":1303,"sum":48428,"residue":268},{"from_index":1303,"to_index":203,"sum":42818,"residue":248}],"minimal_cycle":[268,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[203,423],"circle_positions":430,"cycle_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":[204,424,644,864,1084,1304],"clock_positions":[204,424,644,864,1084,1304],"native_values":[428,303,213,88,213,303],"rotation_degrees":55.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,303,213,88,213,303],"beta":{"interval_sums":[48952,47282,45942,48572,48522,42552],"interval_residues":[362,412,362,412,362,412],"display_cycle":[362,412,362,412,362,412],"intervals":[{"from_index":204,"to_index":424,"sum":48952,"residue":362},{"from_index":424,"to_index":644,"sum":47282,"residue":412},{"from_index":644,"to_index":864,"sum":45942,"residue":362},{"from_index":864,"to_index":1084,"sum":48572,"residue":412},{"from_index":1084,"to_index":1304,"sum":48522,"residue":362},{"from_index":1304,"to_index":204,"sum":42552,"residue":412}],"minimal_cycle":[362,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[204,424],"circle_positions":430,"cycle_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":[205,425,645,865,1085,1305],"clock_positions":[205,425,645,865,1085,1305],"native_values":[35,395,250,395,35,180],"rotation_degrees":55.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[35,395,250,395,35,180],"beta":{"interval_sums":[49220,47100,45780,48390,48790,42800],"interval_residues":[200,230,200,230,200,230],"display_cycle":[200,230,200,230,200,230],"intervals":[{"from_index":205,"to_index":425,"sum":49220,"residue":200},{"from_index":425,"to_index":645,"sum":47100,"residue":230},{"from_index":645,"to_index":865,"sum":45780,"residue":200},{"from_index":865,"to_index":1085,"sum":48390,"residue":230},{"from_index":1085,"to_index":1305,"sum":48790,"residue":200},{"from_index":1305,"to_index":205,"sum":42800,"residue":230}],"minimal_cycle":[200,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[205,425],"circle_positions":430,"cycle_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":[206,426,646,866,1086,1306],"clock_positions":[206,426,646,866,1086,1306],"native_values":[33,268,33,53,248,53],"rotation_degrees":56.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,268,33,53,248,53],"beta":{"interval_sums":[49582,47082,46142,48372,48722,42782],"interval_residues":[132,212,132,212,132,212],"display_cycle":[132,212,132,212,132,212],"intervals":[{"from_index":206,"to_index":426,"sum":49582,"residue":132},{"from_index":426,"to_index":646,"sum":47082,"residue":212},{"from_index":646,"to_index":866,"sum":46142,"residue":132},{"from_index":866,"to_index":1086,"sum":48372,"residue":212},{"from_index":1086,"to_index":1306,"sum":48722,"residue":132},{"from_index":1306,"to_index":206,"sum":42782,"residue":212}],"minimal_cycle":[132,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[206,426],"circle_positions":430,"cycle_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":[207,427,647,867,1087,1307],"clock_positions":[207,427,647,867,1087,1307],"native_values":[68,233,283,18,283,233],"rotation_degrees":56.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,233,283,18,283,233],"beta":{"interval_sums":[49782,46882,45912,48602,48492,42582],"interval_residues":[332,12,332,12,332,12],"display_cycle":[332,12,332,12,332,12],"intervals":[{"from_index":207,"to_index":427,"sum":49782,"residue":332},{"from_index":427,"to_index":647,"sum":46882,"residue":12},{"from_index":647,"to_index":867,"sum":45912,"residue":332},{"from_index":867,"to_index":1087,"sum":48602,"residue":12},{"from_index":1087,"to_index":1307,"sum":48492,"residue":332},{"from_index":1307,"to_index":207,"sum":42582,"residue":12}],"minimal_cycle":[332,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[207,427],"circle_positions":430,"cycle_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":[208,428,648,868,1088,1308],"clock_positions":[208,428,648,868,1088,1308],"native_values":[101,71,316,71,101,286],"rotation_degrees":56.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,71,316,71,101,286],"beta":{"interval_sums":[49914,47094,45614,48814,48624,42364],"interval_residues":[34,224,34,224,34,224],"display_cycle":[34,224,34,224,34,224],"intervals":[{"from_index":208,"to_index":428,"sum":49914,"residue":34},{"from_index":428,"to_index":648,"sum":47094,"residue":224},{"from_index":648,"to_index":868,"sum":45614,"residue":34},{"from_index":868,"to_index":1088,"sum":48814,"residue":224},{"from_index":1088,"to_index":1308,"sum":48624,"residue":34},{"from_index":1308,"to_index":208,"sum":42364,"residue":224}],"minimal_cycle":[34,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[208,428],"circle_positions":430,"cycle_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":[209,429,649,869,1089,1309],"clock_positions":[209,429,649,869,1089,1309],"native_values":[169,304,169,89,384,89],"rotation_degrees":57.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,304,169,89,384,89],"beta":{"interval_sums":[49816,47106,45516,48826,48526,42376],"interval_residues":[366,236,366,236,366,236],"display_cycle":[366,236,366,236,366,236],"intervals":[{"from_index":209,"to_index":429,"sum":49816,"residue":366},{"from_index":429,"to_index":649,"sum":47106,"residue":236},{"from_index":649,"to_index":869,"sum":45516,"residue":366},{"from_index":869,"to_index":1089,"sum":48826,"residue":236},{"from_index":1089,"to_index":1309,"sum":48526,"residue":366},{"from_index":1309,"to_index":209,"sum":42376,"residue":236}],"minimal_cycle":[366,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[209,429],"circle_positions":430,"cycle_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":[210,430,650,870,1090,1310],"clock_positions":[210,430,650,870,1090,1310],"native_values":[270,375,55,160,55,375],"rotation_degrees":57.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,375,55,160,55,375],"beta":{"interval_sums":[49850,46900,45550,49050,48560,42170],"interval_residues":[400,30,400,30,400,30],"display_cycle":[400,30,400,30,400,30],"intervals":[{"from_index":210,"to_index":430,"sum":49850,"residue":400},{"from_index":430,"to_index":650,"sum":46900,"residue":30},{"from_index":650,"to_index":870,"sum":45550,"residue":400},{"from_index":870,"to_index":1090,"sum":49050,"residue":30},{"from_index":1090,"to_index":1310,"sum":48560,"residue":400},{"from_index":1310,"to_index":210,"sum":42170,"residue":30}],"minimal_cycle":[400,30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[210,430],"circle_positions":430,"cycle_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":[211,431,651,871,1091,1311],"clock_positions":[211,431,651,871,1091,1311],"native_values":[9,249,224,249,9,34],"rotation_degrees":57.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,249,224,249,9,34],"beta":{"interval_sums":[50216,46706,45486,48856,48926,42406],"interval_residues":[336,266,336,266,336,266],"display_cycle":[336,266,336,266,336,266],"intervals":[{"from_index":211,"to_index":431,"sum":50216,"residue":336},{"from_index":431,"to_index":651,"sum":46706,"residue":266},{"from_index":651,"to_index":871,"sum":45486,"residue":336},{"from_index":871,"to_index":1091,"sum":48856,"residue":266},{"from_index":1091,"to_index":1311,"sum":48926,"residue":336},{"from_index":1311,"to_index":211,"sum":42406,"residue":266}],"minimal_cycle":[336,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[211,431],"circle_positions":430,"cycle_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":[212,432,652,872,1092,1312],"clock_positions":[212,432,652,872,1092,1312],"native_values":[279,194,279,409,64,409],"rotation_degrees":57.81818181818182,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,194,279,409,64,409],"beta":{"interval_sums":[50186,46736,45456,48456,48896,42006],"interval_residues":[306,296,306,296,306,296],"display_cycle":[306,296,306,296,306,296],"intervals":[{"from_index":212,"to_index":432,"sum":50186,"residue":306},{"from_index":432,"to_index":652,"sum":46736,"residue":296},{"from_index":652,"to_index":872,"sum":45456,"residue":306},{"from_index":872,"to_index":1092,"sum":48456,"residue":296},{"from_index":1092,"to_index":1312,"sum":48896,"residue":306},{"from_index":1312,"to_index":212,"sum":42006,"residue":296}],"minimal_cycle":[306,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[212,432],"circle_positions":430,"cycle_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":[213,433,653,873,1093,1313],"clock_positions":[213,433,653,873,1093,1313],"native_values":[288,13,73,228,73,13],"rotation_degrees":58.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,13,73,228,73,13],"beta":{"interval_sums":[50092,47002,45792,48292,49232,42272],"interval_residues":[212,132,212,132,212,132],"display_cycle":[212,132,212,132,212,132],"intervals":[{"from_index":213,"to_index":433,"sum":50092,"residue":212},{"from_index":433,"to_index":653,"sum":47002,"residue":132},{"from_index":653,"to_index":873,"sum":45792,"residue":212},{"from_index":873,"to_index":1093,"sum":48292,"residue":132},{"from_index":1093,"to_index":1313,"sum":49232,"residue":212},{"from_index":1313,"to_index":213,"sum":42272,"residue":132}],"minimal_cycle":[212,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[213,433],"circle_positions":430,"cycle_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":[214,434,654,874,1094,1314],"clock_positions":[214,434,654,874,1094,1314],"native_values":[137,207,352,207,137,422],"rotation_degrees":58.36363636363637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,207,352,207,137,422],"beta":{"interval_sums":[49968,46868,45668,48158,49108,42138],"interval_residues":[88,428,88,428,88,428],"display_cycle":[88,428,88,428,88,428],"intervals":[{"from_index":214,"to_index":434,"sum":49968,"residue":88},{"from_index":434,"to_index":654,"sum":46868,"residue":428},{"from_index":654,"to_index":874,"sum":45668,"residue":88},{"from_index":874,"to_index":1094,"sum":48158,"residue":428},{"from_index":1094,"to_index":1314,"sum":49108,"residue":88},{"from_index":1314,"to_index":214,"sum":42138,"residue":428}],"minimal_cycle":[88,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[214,434],"circle_positions":430,"cycle_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":[215,435,655,875,1095,1315],"clock_positions":[215,435,655,875,1095,1315],"native_values":[425,220,425,5,210,5],"rotation_degrees":58.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,220,425,5,210,5],"beta":{"interval_sums":[49750,47000,45450,48290,49320,42270],"interval_residues":[300,130,300,130,300,130],"display_cycle":[300,130,300,130,300,130],"intervals":[{"from_index":215,"to_index":435,"sum":49750,"residue":300},{"from_index":435,"to_index":655,"sum":47000,"residue":130},{"from_index":655,"to_index":875,"sum":45450,"residue":300},{"from_index":875,"to_index":1095,"sum":48290,"residue":130},{"from_index":1095,"to_index":1315,"sum":49320,"residue":300},{"from_index":1315,"to_index":215,"sum":42270,"residue":130}],"minimal_cycle":[300,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[215,435],"circle_positions":430,"cycle_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":[216,436,656,876,1096,1316],"clock_positions":[216,436,656,876,1096,1316],"native_values":[132,427,347,212,347,427],"rotation_degrees":58.90909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,427,347,212,347,427],"beta":{"interval_sums":[49838,46998,45108,48288,48978,42268],"interval_residues":[388,128,388,128,388,128],"display_cycle":[388,128,388,128,388,128],"intervals":[{"from_index":216,"to_index":436,"sum":49838,"residue":388},{"from_index":436,"to_index":656,"sum":46998,"residue":128},{"from_index":656,"to_index":876,"sum":45108,"residue":388},{"from_index":876,"to_index":1096,"sum":48288,"residue":128},{"from_index":1096,"to_index":1316,"sum":48978,"residue":388},{"from_index":1316,"to_index":216,"sum":42268,"residue":128}],"minimal_cycle":[388,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[216,436],"circle_positions":430,"cycle_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":[217,437,657,877,1097,1317],"clock_positions":[217,437,657,877,1097,1317],"native_values":[127,217,342,217,127,2],"rotation_degrees":59.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,217,342,217,127,2],"beta":{"interval_sums":[50138,47128,44978,48418,49278,42398],"interval_residues":[258,258,258,258,258,258],"display_cycle":[258,258,258,258,258,258],"intervals":[{"from_index":217,"to_index":437,"sum":50138,"residue":258},{"from_index":437,"to_index":657,"sum":47128,"residue":258},{"from_index":657,"to_index":877,"sum":44978,"residue":258},{"from_index":877,"to_index":1097,"sum":48418,"residue":258},{"from_index":1097,"to_index":1317,"sum":49278,"residue":258},{"from_index":1317,"to_index":217,"sum":42398,"residue":258}],"minimal_cycle":[258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[217,437],"circle_positions":430,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-218","shape":"Hexagon","alpha_indices":[218,438,658,878,1098,1318],"clock_positions":[218,438,658,878,1098,1318],"native_values":[259,214,259,429,44,429],"rotation_degrees":59.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,214,259,429,44,429],"beta":{"interval_sums":[50096,47256,44936,48116,49236,42096],"interval_residues":[216,386,216,386,216,386],"display_cycle":[216,386,216,386,216,386],"intervals":[{"from_index":218,"to_index":438,"sum":50096,"residue":216},{"from_index":438,"to_index":658,"sum":47256,"residue":386},{"from_index":658,"to_index":878,"sum":44936,"residue":216},{"from_index":878,"to_index":1098,"sum":48116,"residue":386},{"from_index":1098,"to_index":1318,"sum":49236,"residue":216},{"from_index":1318,"to_index":218,"sum":42096,"residue":386}],"minimal_cycle":[216,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[218,438],"circle_positions":430,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-219","shape":"Hexagon","alpha_indices":[219,439,659,879,1099,1319],"clock_positions":[219,439,659,879,1099,1319],"native_values":[386,1,171,216,171,1],"rotation_degrees":59.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,1,171,216,171,1],"beta":{"interval_sums":[49924,47514,45194,47944,49494,42354],"interval_residues":[44,214,44,214,44,214],"display_cycle":[44,214,44,214,44,214],"intervals":[{"from_index":219,"to_index":439,"sum":49924,"residue":44},{"from_index":439,"to_index":659,"sum":47514,"residue":214},{"from_index":659,"to_index":879,"sum":45194,"residue":44},{"from_index":879,"to_index":1099,"sum":47944,"residue":214},{"from_index":1099,"to_index":1319,"sum":49494,"residue":44},{"from_index":1319,"to_index":219,"sum":42354,"residue":214}],"minimal_cycle":[44,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[219,439],"circle_positions":430,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[{"formation_id":"6-nodes-offset-0","shape":"Hexagon","values":[430,215,215,430,215,215],"rotation_degrees":0.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-44","shape":"Hexagon","values":[43,258,43,43,258,43],"rotation_degrees":12.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-88","shape":"Hexagon","values":[301,301,86,301,301,86],"rotation_degrees":24.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-132","shape":"Hexagon","values":[344,129,129,344,129,129],"rotation_degrees":36.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-176","shape":"Hexagon","values":[387,172,387,387,172,387],"rotation_degrees":48.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"}],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,440,1100,660,220,880,0],"clock_positions":[1320,440,1100,660,220,880,1320],"native_values":[430,215,215,430,215,215,430],"reduced_m9_values":[9,8,8,9,8,8,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":220,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,220,440,660,880,1100],"clock_positions":[1320,220,440,660,880,1100],"native_values":[430,215,215,430,215,215],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1320,"value":430},{"alpha_index":220,"clock_position":220,"value":215},{"alpha_index":440,"clock_position":440,"value":215},{"alpha_index":660,"clock_position":660,"value":430},{"alpha_index":880,"clock_position":880,"value":215},{"alpha_index":1100,"clock_position":1100,"value":215}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,221,441,661,881,1101],"clock_positions":[1,221,441,661,881,1101],"native_values":[1,171,216,171,1,386],"rotation_degrees":0.2727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":221,"clock_position":221,"value":171},{"alpha_index":441,"clock_position":441,"value":216},{"alpha_index":661,"clock_position":661,"value":171},{"alpha_index":881,"clock_position":881,"value":1},{"alpha_index":1101,"clock_position":1101,"value":386}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,222,442,662,882,1102],"clock_positions":[2,222,442,662,882,1102],"native_values":[1,386,1,171,216,171],"rotation_degrees":0.5454545454545454,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":222,"clock_position":222,"value":386},{"alpha_index":442,"clock_position":442,"value":1},{"alpha_index":662,"clock_position":662,"value":171},{"alpha_index":882,"clock_position":882,"value":216},{"alpha_index":1102,"clock_position":1102,"value":171}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,223,443,663,883,1103],"clock_positions":[3,223,443,663,883,1103],"native_values":[2,127,217,342,217,127],"rotation_degrees":0.8181818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":223,"clock_position":223,"value":127},{"alpha_index":443,"clock_position":443,"value":217},{"alpha_index":663,"clock_position":663,"value":342},{"alpha_index":883,"clock_position":883,"value":217},{"alpha_index":1103,"clock_position":1103,"value":127}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,224,444,664,884,1104],"clock_positions":[4,224,444,664,884,1104],"native_values":[3,83,218,83,3,298],"rotation_degrees":1.0909090909090908,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":224,"clock_position":224,"value":83},{"alpha_index":444,"clock_position":444,"value":218},{"alpha_index":664,"clock_position":664,"value":83},{"alpha_index":1104,"clock_position":1104,"value":298}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,225,445,665,885,1105],"clock_positions":[5,225,445,665,885,1105],"native_values":[5,210,5,425,220,425],"rotation_degrees":1.3636363636363635,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":225,"clock_position":225,"value":210},{"alpha_index":445,"clock_position":445,"value":5},{"alpha_index":665,"clock_position":665,"value":425},{"alpha_index":885,"clock_position":885,"value":220},{"alpha_index":1105,"clock_position":1105,"value":425}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,226,446,666,886,1106],"clock_positions":[6,226,446,666,886,1106],"native_values":[8,293,223,78,223,293],"rotation_degrees":1.6363636363636365,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":226,"clock_position":226,"value":293},{"alpha_index":446,"clock_position":446,"value":223},{"alpha_index":666,"clock_position":666,"value":78},{"alpha_index":886,"clock_position":886,"value":223},{"alpha_index":1106,"clock_position":1106,"value":293}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,227,447,667,887,1107],"clock_positions":[7,227,447,667,887,1107],"native_values":[13,73,228,73,13,288],"rotation_degrees":1.9090909090909092,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":227,"clock_position":227,"value":73},{"alpha_index":447,"clock_position":447,"value":228},{"alpha_index":667,"clock_position":667,"value":73},{"alpha_index":887,"clock_position":887,"value":13},{"alpha_index":1107,"clock_position":1107,"value":288}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,228,448,668,888,1108],"clock_positions":[8,228,448,668,888,1108],"native_values":[21,366,21,151,236,151],"rotation_degrees":2.1818181818181817,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":228,"clock_position":228,"value":366},{"alpha_index":448,"clock_position":448,"value":21},{"alpha_index":668,"clock_position":668,"value":151},{"alpha_index":888,"clock_position":888,"value":236},{"alpha_index":1108,"clock_position":1108,"value":151}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,229,449,669,889,1109],"clock_positions":[9,229,449,669,889,1109],"native_values":[34,9,249,224,249,9],"rotation_degrees":2.4545454545454546,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":449,"clock_position":449,"value":249},{"alpha_index":669,"clock_position":669,"value":224},{"alpha_index":889,"clock_position":889,"value":249}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,230,450,670,890,1110],"clock_positions":[10,230,450,670,890,1110],"native_values":[55,375,270,375,55,160],"rotation_degrees":2.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":230,"clock_position":230,"value":375},{"alpha_index":450,"clock_position":450,"value":270},{"alpha_index":670,"clock_position":670,"value":375},{"alpha_index":890,"clock_position":890,"value":55},{"alpha_index":1110,"clock_position":1110,"value":160}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,231,451,671,891,1111],"clock_positions":[11,231,451,671,891,1111],"native_values":[89,384,89,169,304,169],"rotation_degrees":3.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":231,"clock_position":231,"value":384},{"alpha_index":451,"clock_position":451,"value":89},{"alpha_index":671,"clock_position":671,"value":169},{"alpha_index":891,"clock_position":891,"value":304},{"alpha_index":1111,"clock_position":1111,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,232,452,672,892,1112],"clock_positions":[12,232,452,672,892,1112],"native_values":[144,329,359,114,359,329],"rotation_degrees":3.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":232,"clock_position":232,"value":329},{"alpha_index":452,"clock_position":452,"value":359},{"alpha_index":672,"clock_position":672,"value":114},{"alpha_index":892,"clock_position":892,"value":359},{"alpha_index":1112,"clock_position":1112,"value":329}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,233,453,673,893,1113],"clock_positions":[13,233,453,673,893,1113],"native_values":[233,283,18,283,233,68],"rotation_degrees":3.5454545454545454,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":233,"clock_position":233,"value":283},{"alpha_index":453,"clock_position":453,"value":18},{"alpha_index":673,"clock_position":673,"value":283},{"alpha_index":893,"clock_position":893,"value":233},{"alpha_index":1113,"clock_position":1113,"value":68}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,234,454,674,894,1114],"clock_positions":[14,234,454,674,894,1114],"native_values":[377,182,377,397,162,397],"rotation_degrees":3.8181818181818183,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":234,"clock_position":234,"value":182},{"alpha_index":454,"clock_position":454,"value":377},{"alpha_index":674,"clock_position":674,"value":397},{"alpha_index":894,"clock_position":894,"value":162},{"alpha_index":1114,"clock_position":1114,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,235,455,675,895,1115],"clock_positions":[15,235,455,675,895,1115],"native_values":[180,35,395,250,395,35],"rotation_degrees":4.090909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":180},{"alpha_index":235,"clock_position":235,"value":35},{"alpha_index":455,"clock_position":455,"value":395},{"alpha_index":675,"clock_position":675,"value":250},{"alpha_index":895,"clock_position":895,"value":395},{"alpha_index":1115,"clock_position":1115,"value":35}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,236,456,676,896,1116],"clock_positions":[16,236,456,676,896,1116],"native_values":[127,217,342,217,127,2],"rotation_degrees":4.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":127},{"alpha_index":236,"clock_position":236,"value":217},{"alpha_index":456,"clock_position":456,"value":342},{"alpha_index":676,"clock_position":676,"value":217},{"alpha_index":896,"clock_position":896,"value":127},{"alpha_index":1116,"clock_position":1116,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,237,457,677,897,1117],"clock_positions":[17,237,457,677,897,1117],"native_values":[307,252,307,37,92,37],"rotation_degrees":4.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":307},{"alpha_index":237,"clock_position":237,"value":252},{"alpha_index":457,"clock_position":457,"value":307},{"alpha_index":677,"clock_position":677,"value":37},{"alpha_index":897,"clock_position":897,"value":92},{"alpha_index":1117,"clock_position":1117,"value":37}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,238,458,678,898,1118],"clock_positions":[18,238,458,678,898,1118],"native_values":[4,39,219,254,219,39],"rotation_degrees":4.909090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":4},{"alpha_index":238,"clock_position":238,"value":39},{"alpha_index":458,"clock_position":458,"value":219},{"alpha_index":678,"clock_position":678,"value":254},{"alpha_index":898,"clock_position":898,"value":219},{"alpha_index":1118,"clock_position":1118,"value":39}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,239,459,679,899,1119],"clock_positions":[19,239,459,679,899,1119],"native_values":[311,291,96,291,311,76],"rotation_degrees":5.181818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":311},{"alpha_index":239,"clock_position":239,"value":291},{"alpha_index":459,"clock_position":459,"value":96},{"alpha_index":679,"clock_position":679,"value":291},{"alpha_index":899,"clock_position":899,"value":311},{"alpha_index":1119,"clock_position":1119,"value":76}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,240,460,680,900,1120],"clock_positions":[20,240,460,680,900,1120],"native_values":[315,330,315,115,100,115],"rotation_degrees":5.454545454545454,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":315},{"alpha_index":240,"clock_position":240,"value":330},{"alpha_index":460,"clock_position":460,"value":315},{"alpha_index":680,"clock_position":680,"value":115},{"alpha_index":900,"clock_position":900,"value":100},{"alpha_index":1120,"clock_position":1120,"value":115}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,241,461,681,901,1121],"clock_positions":[21,241,461,681,901,1121],"native_values":[196,191,411,406,411,191],"rotation_degrees":5.7272727272727275,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":196},{"alpha_index":241,"clock_position":241,"value":191},{"alpha_index":461,"clock_position":461,"value":411},{"alpha_index":681,"clock_position":681,"value":406},{"alpha_index":901,"clock_position":901,"value":411},{"alpha_index":1121,"clock_position":1121,"value":191}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,242,462,682,902,1122],"clock_positions":[22,242,462,682,902,1122],"native_values":[81,91,296,91,81,306],"rotation_degrees":6.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":81},{"alpha_index":242,"clock_position":242,"value":91},{"alpha_index":462,"clock_position":462,"value":296},{"alpha_index":682,"clock_position":682,"value":91},{"alpha_index":902,"clock_position":902,"value":81},{"alpha_index":1122,"clock_position":1122,"value":306}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,243,463,683,903,1123],"clock_positions":[23,243,463,683,903,1123],"native_values":[277,282,277,67,62,67],"rotation_degrees":6.2727272727272725,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":277},{"alpha_index":243,"clock_position":243,"value":282},{"alpha_index":463,"clock_position":463,"value":277},{"alpha_index":683,"clock_position":683,"value":67},{"alpha_index":903,"clock_position":903,"value":62},{"alpha_index":1123,"clock_position":1123,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,244,464,684,904,1124],"clock_positions":[24,244,464,684,904,1124],"native_values":[358,373,143,158,143,373],"rotation_degrees":6.545454545454546,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":358},{"alpha_index":244,"clock_position":244,"value":373},{"alpha_index":464,"clock_position":464,"value":143},{"alpha_index":684,"clock_position":684,"value":158},{"alpha_index":904,"clock_position":904,"value":143},{"alpha_index":1124,"clock_position":1124,"value":373}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,245,465,685,905,1125],"clock_positions":[25,245,465,685,905,1125],"native_values":[205,225,420,225,205,10],"rotation_degrees":6.818181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":205},{"alpha_index":245,"clock_position":245,"value":225},{"alpha_index":465,"clock_position":465,"value":420},{"alpha_index":685,"clock_position":685,"value":225},{"alpha_index":905,"clock_position":905,"value":205},{"alpha_index":1125,"clock_position":1125,"value":10}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,246,466,686,906,1126],"clock_positions":[26,246,466,686,906,1126],"native_values":[133,168,133,383,348,383],"rotation_degrees":7.090909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":133},{"alpha_index":246,"clock_position":246,"value":168},{"alpha_index":466,"clock_position":466,"value":133},{"alpha_index":686,"clock_position":686,"value":383},{"alpha_index":906,"clock_position":906,"value":348},{"alpha_index":1126,"clock_position":1126,"value":383}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,247,467,687,907,1127],"clock_positions":[27,247,467,687,907,1127],"native_values":[338,393,123,178,123,393],"rotation_degrees":7.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":338},{"alpha_index":247,"clock_position":247,"value":393},{"alpha_index":467,"clock_position":467,"value":123},{"alpha_index":687,"clock_position":687,"value":178},{"alpha_index":907,"clock_position":907,"value":123},{"alpha_index":1127,"clock_position":1127,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,248,468,688,908,1128],"clock_positions":[28,248,468,688,908,1128],"native_values":[41,131,256,131,41,346],"rotation_degrees":7.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":41},{"alpha_index":248,"clock_position":248,"value":131},{"alpha_index":468,"clock_position":468,"value":256},{"alpha_index":688,"clock_position":688,"value":131},{"alpha_index":908,"clock_position":908,"value":41},{"alpha_index":1128,"clock_position":1128,"value":346}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,249,469,689,909,1129],"clock_positions":[29,249,469,689,909,1129],"native_values":[379,94,379,309,164,309],"rotation_degrees":7.909090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":379},{"alpha_index":249,"clock_position":249,"value":94},{"alpha_index":469,"clock_position":469,"value":379},{"alpha_index":689,"clock_position":689,"value":309},{"alpha_index":909,"clock_position":909,"value":164},{"alpha_index":1129,"clock_position":1129,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,250,470,690,910,1130],"clock_positions":[30,250,470,690,910,1130],"native_values":[420,225,205,10,205,225],"rotation_degrees":8.181818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":420},{"alpha_index":250,"clock_position":250,"value":225},{"alpha_index":470,"clock_position":470,"value":205},{"alpha_index":690,"clock_position":690,"value":10},{"alpha_index":910,"clock_position":910,"value":205},{"alpha_index":1130,"clock_position":1130,"value":225}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,251,471,691,911,1131],"clock_positions":[31,251,471,691,911,1131],"native_values":[369,319,154,319,369,104],"rotation_degrees":8.454545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":369},{"alpha_index":251,"clock_position":251,"value":319},{"alpha_index":471,"clock_position":471,"value":154},{"alpha_index":691,"clock_position":691,"value":319},{"alpha_index":911,"clock_position":911,"value":369},{"alpha_index":1131,"clock_position":1131,"value":104}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,252,472,692,912,1132],"clock_positions":[32,252,472,692,912,1132],"native_values":[359,114,359,329,144,329],"rotation_degrees":8.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":359},{"alpha_index":252,"clock_position":252,"value":114},{"alpha_index":472,"clock_position":472,"value":359},{"alpha_index":692,"clock_position":692,"value":329},{"alpha_index":912,"clock_position":912,"value":144},{"alpha_index":1132,"clock_position":1132,"value":329}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,253,473,693,913,1133],"clock_positions":[33,253,473,693,913,1133],"native_values":[298,3,83,218,83,3],"rotation_degrees":9.0,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":298},{"alpha_index":473,"clock_position":473,"value":83},{"alpha_index":693,"clock_position":693,"value":218},{"alpha_index":913,"clock_position":913,"value":83}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,254,474,694,914,1134],"clock_positions":[34,254,474,694,914,1134],"native_values":[227,117,12,117,227,332],"rotation_degrees":9.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":227},{"alpha_index":254,"clock_position":254,"value":117},{"alpha_index":474,"clock_position":474,"value":12},{"alpha_index":694,"clock_position":694,"value":117},{"alpha_index":914,"clock_position":914,"value":227},{"alpha_index":1134,"clock_position":1134,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,255,475,695,915,1135],"clock_positions":[35,255,475,695,915,1135],"native_values":[95,120,95,335,310,335],"rotation_degrees":9.545454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":95},{"alpha_index":255,"clock_position":255,"value":120},{"alpha_index":475,"clock_position":475,"value":95},{"alpha_index":695,"clock_position":695,"value":335},{"alpha_index":915,"clock_position":915,"value":310},{"alpha_index":1135,"clock_position":1135,"value":335}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,256,476,696,916,1136],"clock_positions":[36,256,476,696,916,1136],"native_values":[322,237,107,22,107,237],"rotation_degrees":9.818181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":322},{"alpha_index":256,"clock_position":256,"value":237},{"alpha_index":476,"clock_position":476,"value":107},{"alpha_index":696,"clock_position":696,"value":22},{"alpha_index":916,"clock_position":916,"value":107},{"alpha_index":1136,"clock_position":1136,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,257,477,697,917,1137],"clock_positions":[37,257,477,697,917,1137],"native_values":[417,357,202,357,417,142],"rotation_degrees":10.090909090909092,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":417},{"alpha_index":257,"clock_position":257,"value":357},{"alpha_index":477,"clock_position":477,"value":202},{"alpha_index":697,"clock_position":697,"value":357},{"alpha_index":917,"clock_position":917,"value":417},{"alpha_index":1137,"clock_position":1137,"value":142}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,258,478,698,918,1138],"clock_positions":[38,258,478,698,918,1138],"native_values":[309,164,309,379,94,379],"rotation_degrees":10.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":309},{"alpha_index":258,"clock_position":258,"value":164},{"alpha_index":478,"clock_position":478,"value":309},{"alpha_index":698,"clock_position":698,"value":379},{"alpha_index":918,"clock_position":918,"value":94},{"alpha_index":1138,"clock_position":1138,"value":379}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,259,479,699,919,1139],"clock_positions":[39,259,479,699,919,1139],"native_values":[296,91,81,306,81,91],"rotation_degrees":10.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":296},{"alpha_index":259,"clock_position":259,"value":91},{"alpha_index":479,"clock_position":479,"value":81},{"alpha_index":699,"clock_position":699,"value":306},{"alpha_index":919,"clock_position":919,"value":81},{"alpha_index":1139,"clock_position":1139,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,260,480,700,920,1140],"clock_positions":[40,260,480,700,920,1140],"native_values":[175,255,390,255,175,40],"rotation_degrees":10.909090909090908,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":175},{"alpha_index":260,"clock_position":260,"value":255},{"alpha_index":480,"clock_position":480,"value":390},{"alpha_index":700,"clock_position":700,"value":255},{"alpha_index":920,"clock_position":920,"value":175},{"alpha_index":1140,"clock_position":1140,"value":40}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,261,481,701,921,1141],"clock_positions":[41,261,481,701,921,1141],"native_values":[41,346,41,131,256,131],"rotation_degrees":11.181818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":41},{"alpha_index":261,"clock_position":261,"value":346},{"alpha_index":481,"clock_position":481,"value":41},{"alpha_index":701,"clock_position":701,"value":131},{"alpha_index":921,"clock_position":921,"value":256},{"alpha_index":1141,"clock_position":1141,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,262,482,702,922,1142],"clock_positions":[42,262,482,702,922,1142],"native_values":[216,171,1,386,1,171],"rotation_degrees":11.454545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":216},{"alpha_index":262,"clock_position":262,"value":171},{"alpha_index":482,"clock_position":482,"value":1},{"alpha_index":702,"clock_position":702,"value":386},{"alpha_index":922,"clock_position":922,"value":1},{"alpha_index":1142,"clock_position":1142,"value":171}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,263,483,703,923,1143],"clock_positions":[43,263,483,703,923,1143],"native_values":[257,87,42,87,257,302],"rotation_degrees":11.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":257},{"alpha_index":263,"clock_position":263,"value":87},{"alpha_index":483,"clock_position":483,"value":42},{"alpha_index":703,"clock_position":703,"value":87},{"alpha_index":923,"clock_position":923,"value":257},{"alpha_index":1143,"clock_position":1143,"value":302}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,264,484,704,924,1144],"clock_positions":[44,264,484,704,924,1144],"native_values":[43,258,43,43,258,43],"rotation_degrees":12.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":43},{"alpha_index":264,"clock_position":264,"value":258},{"alpha_index":484,"clock_position":484,"value":43},{"alpha_index":704,"clock_position":704,"value":43},{"alpha_index":924,"clock_position":924,"value":258},{"alpha_index":1144,"clock_position":1144,"value":43}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,265,485,705,925,1145],"clock_positions":[45,265,485,705,925,1145],"native_values":[300,345,85,130,85,345],"rotation_degrees":12.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":300},{"alpha_index":265,"clock_position":265,"value":345},{"alpha_index":485,"clock_position":485,"value":85},{"alpha_index":705,"clock_position":705,"value":130},{"alpha_index":925,"clock_position":925,"value":85},{"alpha_index":1145,"clock_position":1145,"value":345}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,266,486,706,926,1146],"clock_positions":[46,266,486,706,926,1146],"native_values":[343,173,128,173,343,388],"rotation_degrees":12.545454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":343},{"alpha_index":266,"clock_position":266,"value":173},{"alpha_index":486,"clock_position":486,"value":128},{"alpha_index":706,"clock_position":706,"value":173},{"alpha_index":926,"clock_position":926,"value":343},{"alpha_index":1146,"clock_position":1146,"value":388}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,267,487,707,927,1147],"clock_positions":[47,267,487,707,927,1147],"native_values":[213,88,213,303,428,303],"rotation_degrees":12.818181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":213},{"alpha_index":267,"clock_position":267,"value":88},{"alpha_index":487,"clock_position":487,"value":213},{"alpha_index":707,"clock_position":707,"value":303},{"alpha_index":927,"clock_position":927,"value":428},{"alpha_index":1147,"clock_position":1147,"value":303}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,268,488,708,928,1148],"clock_positions":[48,268,488,708,928,1148],"native_values":[126,261,341,46,341,261],"rotation_degrees":13.090909090909092,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":126},{"alpha_index":268,"clock_position":268,"value":261},{"alpha_index":488,"clock_position":488,"value":341},{"alpha_index":708,"clock_position":708,"value":46},{"alpha_index":928,"clock_position":928,"value":341},{"alpha_index":1148,"clock_position":1148,"value":261}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,269,489,709,929,1149],"clock_positions":[49,269,489,709,929,1149],"native_values":[339,349,124,349,339,134],"rotation_degrees":13.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":339},{"alpha_index":269,"clock_position":269,"value":349},{"alpha_index":489,"clock_position":489,"value":124},{"alpha_index":709,"clock_position":709,"value":349},{"alpha_index":929,"clock_position":929,"value":339},{"alpha_index":1149,"clock_position":1149,"value":134}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,270,490,710,930,1150],"clock_positions":[50,270,490,710,930,1150],"native_values":[35,180,35,395,250,395],"rotation_degrees":13.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":35},{"alpha_index":270,"clock_position":270,"value":180},{"alpha_index":490,"clock_position":490,"value":35},{"alpha_index":710,"clock_position":710,"value":395},{"alpha_index":930,"clock_position":930,"value":250},{"alpha_index":1150,"clock_position":1150,"value":395}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,271,491,711,931,1151],"clock_positions":[51,271,491,711,931,1151],"native_values":[374,99,159,314,159,99],"rotation_degrees":13.909090909090908,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":374},{"alpha_index":271,"clock_position":271,"value":99},{"alpha_index":491,"clock_position":491,"value":159},{"alpha_index":711,"clock_position":711,"value":314},{"alpha_index":931,"clock_position":931,"value":159},{"alpha_index":1151,"clock_position":1151,"value":99}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,272,492,712,932,1152],"clock_positions":[52,272,492,712,932,1152],"native_values":[409,279,194,279,409,64],"rotation_degrees":14.181818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":409},{"alpha_index":272,"clock_position":272,"value":279},{"alpha_index":492,"clock_position":492,"value":194},{"alpha_index":712,"clock_position":712,"value":279},{"alpha_index":932,"clock_position":932,"value":409},{"alpha_index":1152,"clock_position":1152,"value":64}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,273,493,713,933,1153],"clock_positions":[53,273,493,713,933,1153],"native_values":[353,378,353,163,138,163],"rotation_degrees":14.454545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":353},{"alpha_index":273,"clock_position":273,"value":378},{"alpha_index":493,"clock_position":493,"value":353},{"alpha_index":713,"clock_position":713,"value":163},{"alpha_index":933,"clock_position":933,"value":138},{"alpha_index":1153,"clock_position":1153,"value":163}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,274,494,714,934,1154],"clock_positions":[54,274,494,714,934,1154],"native_values":[332,227,117,12,117,227],"rotation_degrees":14.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":332},{"alpha_index":274,"clock_position":274,"value":227},{"alpha_index":494,"clock_position":494,"value":117},{"alpha_index":714,"clock_position":714,"value":12},{"alpha_index":934,"clock_position":934,"value":117},{"alpha_index":1154,"clock_position":1154,"value":227}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,275,495,715,935,1155],"clock_positions":[55,275,495,715,935,1155],"native_values":[255,175,40,175,255,390],"rotation_degrees":15.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":255},{"alpha_index":275,"clock_position":275,"value":175},{"alpha_index":495,"clock_position":495,"value":40},{"alpha_index":715,"clock_position":715,"value":175},{"alpha_index":935,"clock_position":935,"value":255},{"alpha_index":1155,"clock_position":1155,"value":390}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,276,496,716,936,1156],"clock_positions":[56,276,496,716,936,1156],"native_values":[157,402,157,187,372,187],"rotation_degrees":15.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":157},{"alpha_index":276,"clock_position":276,"value":402},{"alpha_index":496,"clock_position":496,"value":157},{"alpha_index":716,"clock_position":716,"value":187},{"alpha_index":936,"clock_position":936,"value":372},{"alpha_index":1156,"clock_position":1156,"value":187}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,277,497,717,937,1157],"clock_positions":[57,277,497,717,937,1157],"native_values":[412,147,197,362,197,147],"rotation_degrees":15.545454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":412},{"alpha_index":277,"clock_position":277,"value":147},{"alpha_index":497,"clock_position":497,"value":197},{"alpha_index":717,"clock_position":717,"value":362},{"alpha_index":937,"clock_position":937,"value":197},{"alpha_index":1157,"clock_position":1157,"value":147}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,278,498,718,938,1158],"clock_positions":[58,278,498,718,938,1158],"native_values":[139,119,354,119,139,334],"rotation_degrees":15.818181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":139},{"alpha_index":278,"clock_position":278,"value":119},{"alpha_index":498,"clock_position":498,"value":354},{"alpha_index":718,"clock_position":718,"value":119},{"alpha_index":938,"clock_position":938,"value":139},{"alpha_index":1158,"clock_position":1158,"value":334}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,279,499,719,939,1159],"clock_positions":[59,279,499,719,939,1159],"native_values":[121,266,121,51,336,51],"rotation_degrees":16.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":121},{"alpha_index":279,"clock_position":279,"value":266},{"alpha_index":499,"clock_position":499,"value":121},{"alpha_index":719,"clock_position":719,"value":51},{"alpha_index":939,"clock_position":939,"value":336},{"alpha_index":1159,"clock_position":1159,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,280,500,720,940,1160],"clock_positions":[60,280,500,720,940,1160],"native_values":[260,385,45,170,45,385],"rotation_degrees":16.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":260},{"alpha_index":280,"clock_position":280,"value":385},{"alpha_index":500,"clock_position":500,"value":45},{"alpha_index":720,"clock_position":720,"value":170},{"alpha_index":940,"clock_position":940,"value":45},{"alpha_index":1160,"clock_position":1160,"value":385}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,281,501,721,941,1161],"clock_positions":[61,281,501,721,941,1161],"native_values":[381,221,166,221,381,6],"rotation_degrees":16.636363636363637,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":381},{"alpha_index":281,"clock_position":281,"value":221},{"alpha_index":501,"clock_position":501,"value":166},{"alpha_index":721,"clock_position":721,"value":221},{"alpha_index":941,"clock_position":941,"value":381}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,282,502,722,942,1162],"clock_positions":[62,282,502,722,942,1162],"native_values":[211,176,211,391,426,391],"rotation_degrees":16.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":211},{"alpha_index":282,"clock_position":282,"value":176},{"alpha_index":502,"clock_position":502,"value":211},{"alpha_index":722,"clock_position":722,"value":391},{"alpha_index":942,"clock_position":942,"value":426},{"alpha_index":1162,"clock_position":1162,"value":391}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,283,503,723,943,1163],"clock_positions":[63,283,503,723,943,1163],"native_values":[162,397,377,182,377,397],"rotation_degrees":17.181818181818183,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":162},{"alpha_index":283,"clock_position":283,"value":397},{"alpha_index":503,"clock_position":503,"value":377},{"alpha_index":723,"clock_position":723,"value":182},{"alpha_index":943,"clock_position":943,"value":377},{"alpha_index":1163,"clock_position":1163,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,284,504,724,944,1164],"clock_positions":[64,284,504,724,944,1164],"native_values":[373,143,158,143,373,358],"rotation_degrees":17.454545454545453,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":373},{"alpha_index":284,"clock_position":284,"value":143},{"alpha_index":504,"clock_position":504,"value":158},{"alpha_index":724,"clock_position":724,"value":143},{"alpha_index":944,"clock_position":944,"value":373},{"alpha_index":1164,"clock_position":1164,"value":358}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,285,505,725,945,1165],"clock_positions":[65,285,505,725,945,1165],"native_values":[105,110,105,325,320,325],"rotation_degrees":17.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":105},{"alpha_index":285,"clock_position":285,"value":110},{"alpha_index":505,"clock_position":505,"value":105},{"alpha_index":725,"clock_position":725,"value":325},{"alpha_index":945,"clock_position":945,"value":320},{"alpha_index":1165,"clock_position":1165,"value":325}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,286,506,726,946,1166],"clock_positions":[66,286,506,726,946,1166],"native_values":[48,253,263,38,263,253],"rotation_degrees":18.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":48},{"alpha_index":286,"clock_position":286,"value":253},{"alpha_index":506,"clock_position":506,"value":263},{"alpha_index":726,"clock_position":726,"value":38},{"alpha_index":946,"clock_position":946,"value":263},{"alpha_index":1166,"clock_position":1166,"value":253}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,287,507,727,947,1167],"clock_positions":[67,287,507,727,947,1167],"native_values":[153,363,368,363,153,148],"rotation_degrees":18.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":153},{"alpha_index":287,"clock_position":287,"value":363},{"alpha_index":507,"clock_position":507,"value":368},{"alpha_index":727,"clock_position":727,"value":363},{"alpha_index":947,"clock_position":947,"value":153},{"alpha_index":1167,"clock_position":1167,"value":148}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,288,508,728,948,1168],"clock_positions":[68,288,508,728,948,1168],"native_values":[201,186,201,401,416,401],"rotation_degrees":18.545454545454547,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":201},{"alpha_index":288,"clock_position":288,"value":186},{"alpha_index":508,"clock_position":508,"value":201},{"alpha_index":728,"clock_position":728,"value":401},{"alpha_index":948,"clock_position":948,"value":416},{"alpha_index":1168,"clock_position":1168,"value":401}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,289,509,729,949,1169],"clock_positions":[69,289,509,729,949,1169],"native_values":[354,119,139,334,139,119],"rotation_degrees":18.818181818181817,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":354},{"alpha_index":289,"clock_position":289,"value":119},{"alpha_index":509,"clock_position":509,"value":139},{"alpha_index":729,"clock_position":729,"value":334},{"alpha_index":949,"clock_position":949,"value":139},{"alpha_index":1169,"clock_position":1169,"value":119}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,290,510,730,950,1170],"clock_positions":[70,290,510,730,950,1170],"native_values":[125,305,340,305,125,90],"rotation_degrees":19.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":125},{"alpha_index":290,"clock_position":290,"value":305},{"alpha_index":510,"clock_position":510,"value":340},{"alpha_index":730,"clock_position":730,"value":305},{"alpha_index":950,"clock_position":950,"value":125},{"alpha_index":1170,"clock_position":1170,"value":90}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,291,511,731,951,1171],"clock_positions":[71,291,511,731,951,1171],"native_values":[49,424,49,209,264,209],"rotation_degrees":19.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":49},{"alpha_index":291,"clock_position":291,"value":424},{"alpha_index":511,"clock_position":511,"value":49},{"alpha_index":731,"clock_position":731,"value":209},{"alpha_index":951,"clock_position":951,"value":264},{"alpha_index":1171,"clock_position":1171,"value":209}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,292,512,732,952,1172],"clock_positions":[72,292,512,732,952,1172],"native_values":[174,299,389,84,389,299],"rotation_degrees":19.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":174},{"alpha_index":292,"clock_position":292,"value":299},{"alpha_index":512,"clock_position":512,"value":389},{"alpha_index":732,"clock_position":732,"value":84},{"alpha_index":952,"clock_position":952,"value":389},{"alpha_index":1172,"clock_position":1172,"value":299}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,293,513,733,953,1173],"clock_positions":[73,293,513,733,953,1173],"native_values":[223,293,8,293,223,78],"rotation_degrees":19.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":223},{"alpha_index":293,"clock_position":293,"value":293},{"alpha_index":513,"clock_position":513,"value":8},{"alpha_index":733,"clock_position":733,"value":293},{"alpha_index":953,"clock_position":953,"value":223},{"alpha_index":1173,"clock_position":1173,"value":78}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,294,514,734,954,1174],"clock_positions":[74,294,514,734,954,1174],"native_values":[397,162,397,377,182,377],"rotation_degrees":20.181818181818183,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":397},{"alpha_index":294,"clock_position":294,"value":162},{"alpha_index":514,"clock_position":514,"value":397},{"alpha_index":734,"clock_position":734,"value":377},{"alpha_index":954,"clock_position":954,"value":182},{"alpha_index":1174,"clock_position":1174,"value":377}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,295,515,735,955,1175],"clock_positions":[75,295,515,735,955,1175],"native_values":[190,25,405,240,405,25],"rotation_degrees":20.454545454545453,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":190},{"alpha_index":295,"clock_position":295,"value":25},{"alpha_index":515,"clock_position":515,"value":405},{"alpha_index":735,"clock_position":735,"value":240},{"alpha_index":955,"clock_position":955,"value":405},{"alpha_index":1175,"clock_position":1175,"value":25}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,296,516,736,956,1176],"clock_positions":[76,296,516,736,956,1176],"native_values":[157,187,372,187,157,402],"rotation_degrees":20.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":157},{"alpha_index":296,"clock_position":296,"value":187},{"alpha_index":516,"clock_position":516,"value":372},{"alpha_index":736,"clock_position":736,"value":187},{"alpha_index":956,"clock_position":956,"value":157},{"alpha_index":1176,"clock_position":1176,"value":402}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,297,517,737,957,1177],"clock_positions":[77,297,517,737,957,1177],"native_values":[347,212,347,427,132,427],"rotation_degrees":21.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":347},{"alpha_index":297,"clock_position":297,"value":212},{"alpha_index":517,"clock_position":517,"value":347},{"alpha_index":737,"clock_position":737,"value":427},{"alpha_index":957,"clock_position":957,"value":132},{"alpha_index":1177,"clock_position":1177,"value":427}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,298,518,738,958,1178],"clock_positions":[78,298,518,738,958,1178],"native_values":[74,399,289,184,289,399],"rotation_degrees":21.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":74},{"alpha_index":298,"clock_position":298,"value":399},{"alpha_index":518,"clock_position":518,"value":289},{"alpha_index":738,"clock_position":738,"value":184},{"alpha_index":958,"clock_position":958,"value":289},{"alpha_index":1178,"clock_position":1178,"value":399}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,299,519,739,959,1179],"clock_positions":[79,299,519,739,959,1179],"native_values":[421,181,206,181,421,396],"rotation_degrees":21.545454545454547,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":421},{"alpha_index":299,"clock_position":299,"value":181},{"alpha_index":519,"clock_position":519,"value":206},{"alpha_index":739,"clock_position":739,"value":181},{"alpha_index":959,"clock_position":959,"value":421},{"alpha_index":1179,"clock_position":1179,"value":396}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,300,520,740,960,1180],"clock_positions":[80,300,520,740,960,1180],"native_values":[65,150,65,365,280,365],"rotation_degrees":21.818181818181817,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":65},{"alpha_index":300,"clock_position":300,"value":150},{"alpha_index":520,"clock_position":520,"value":65},{"alpha_index":740,"clock_position":740,"value":365},{"alpha_index":960,"clock_position":960,"value":280},{"alpha_index":1180,"clock_position":1180,"value":365}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,301,521,741,961,1181],"clock_positions":[81,301,521,741,961,1181],"native_values":[56,331,271,116,271,331],"rotation_degrees":22.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":56},{"alpha_index":301,"clock_position":301,"value":331},{"alpha_index":521,"clock_position":521,"value":271},{"alpha_index":741,"clock_position":741,"value":116},{"alpha_index":961,"clock_position":961,"value":271},{"alpha_index":1181,"clock_position":1181,"value":331}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,302,522,742,962,1182],"clock_positions":[82,302,522,742,962,1182],"native_values":[121,51,336,51,121,266],"rotation_degrees":22.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":121},{"alpha_index":302,"clock_position":302,"value":51},{"alpha_index":522,"clock_position":522,"value":336},{"alpha_index":742,"clock_position":742,"value":51},{"alpha_index":962,"clock_position":962,"value":121},{"alpha_index":1182,"clock_position":1182,"value":266}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,303,523,743,963,1183],"clock_positions":[83,303,523,743,963,1183],"native_values":[177,382,177,167,392,167],"rotation_degrees":22.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":177},{"alpha_index":303,"clock_position":303,"value":382},{"alpha_index":523,"clock_position":523,"value":177},{"alpha_index":743,"clock_position":743,"value":167},{"alpha_index":963,"clock_position":963,"value":392},{"alpha_index":1183,"clock_position":1183,"value":167}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,304,524,744,964,1184],"clock_positions":[84,304,524,744,964,1184],"native_values":[298,3,83,218,83,3],"rotation_degrees":22.90909090909091,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":298},{"alpha_index":524,"clock_position":524,"value":83},{"alpha_index":744,"clock_position":744,"value":218},{"alpha_index":964,"clock_position":964,"value":83}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,305,525,745,965,1185],"clock_positions":[85,305,525,745,965,1185],"native_values":[45,385,260,385,45,170],"rotation_degrees":23.181818181818183,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":45},{"alpha_index":305,"clock_position":305,"value":385},{"alpha_index":525,"clock_position":525,"value":260},{"alpha_index":745,"clock_position":745,"value":385},{"alpha_index":965,"clock_position":965,"value":45},{"alpha_index":1185,"clock_position":1185,"value":170}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,306,526,746,966,1186],"clock_positions":[86,306,526,746,966,1186],"native_values":[343,388,343,173,128,173],"rotation_degrees":23.454545454545453,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":343},{"alpha_index":306,"clock_position":306,"value":388},{"alpha_index":526,"clock_position":526,"value":343},{"alpha_index":746,"clock_position":746,"value":173},{"alpha_index":966,"clock_position":966,"value":128},{"alpha_index":1186,"clock_position":1186,"value":173}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,307,527,747,967,1187],"clock_positions":[87,307,527,747,967,1187],"native_values":[388,343,173,128,173,343],"rotation_degrees":23.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":388},{"alpha_index":307,"clock_position":307,"value":343},{"alpha_index":527,"clock_position":527,"value":173},{"alpha_index":747,"clock_position":747,"value":128},{"alpha_index":967,"clock_position":967,"value":173},{"alpha_index":1187,"clock_position":1187,"value":343}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,308,528,748,968,1188],"clock_positions":[88,308,528,748,968,1188],"native_values":[301,301,86,301,301,86],"rotation_degrees":24.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":301},{"alpha_index":308,"clock_position":308,"value":301},{"alpha_index":528,"clock_position":528,"value":86},{"alpha_index":748,"clock_position":748,"value":301},{"alpha_index":968,"clock_position":968,"value":301},{"alpha_index":1188,"clock_position":1188,"value":86}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,309,529,749,969,1189],"clock_positions":[89,309,529,749,969,1189],"native_values":[259,214,259,429,44,429],"rotation_degrees":24.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":259},{"alpha_index":309,"clock_position":309,"value":214},{"alpha_index":529,"clock_position":529,"value":259},{"alpha_index":749,"clock_position":749,"value":429},{"alpha_index":969,"clock_position":969,"value":44},{"alpha_index":1189,"clock_position":1189,"value":429}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,310,530,750,970,1190],"clock_positions":[90,310,530,750,970,1190],"native_values":[130,85,345,300,345,85],"rotation_degrees":24.545454545454547,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":130},{"alpha_index":310,"clock_position":310,"value":85},{"alpha_index":530,"clock_position":530,"value":345},{"alpha_index":750,"clock_position":750,"value":300},{"alpha_index":970,"clock_position":970,"value":345},{"alpha_index":1190,"clock_position":1190,"value":85}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,311,531,751,971,1191],"clock_positions":[91,311,531,751,971,1191],"native_values":[389,299,174,299,389,84],"rotation_degrees":24.818181818181817,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":389},{"alpha_index":311,"clock_position":311,"value":299},{"alpha_index":531,"clock_position":531,"value":174},{"alpha_index":751,"clock_position":751,"value":299},{"alpha_index":971,"clock_position":971,"value":389},{"alpha_index":1191,"clock_position":1191,"value":84}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,312,532,752,972,1192],"clock_positions":[92,312,532,752,972,1192],"native_values":[89,384,89,169,304,169],"rotation_degrees":25.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":89},{"alpha_index":312,"clock_position":312,"value":384},{"alpha_index":532,"clock_position":532,"value":89},{"alpha_index":752,"clock_position":752,"value":169},{"alpha_index":972,"clock_position":972,"value":304},{"alpha_index":1192,"clock_position":1192,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,313,533,753,973,1193],"clock_positions":[93,313,533,753,973,1193],"native_values":[48,253,263,38,263,253],"rotation_degrees":25.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":48},{"alpha_index":313,"clock_position":313,"value":253},{"alpha_index":533,"clock_position":533,"value":263},{"alpha_index":753,"clock_position":753,"value":38},{"alpha_index":973,"clock_position":973,"value":263},{"alpha_index":1193,"clock_position":1193,"value":253}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,314,534,754,974,1194],"clock_positions":[94,314,534,754,974,1194],"native_values":[137,207,352,207,137,422],"rotation_degrees":25.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":137},{"alpha_index":314,"clock_position":314,"value":207},{"alpha_index":534,"clock_position":534,"value":352},{"alpha_index":754,"clock_position":754,"value":207},{"alpha_index":974,"clock_position":974,"value":137},{"alpha_index":1194,"clock_position":1194,"value":422}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,315,535,755,975,1195],"clock_positions":[95,315,535,755,975,1195],"native_values":[185,30,185,245,400,245],"rotation_degrees":25.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":185},{"alpha_index":315,"clock_position":315,"value":30},{"alpha_index":535,"clock_position":535,"value":185},{"alpha_index":755,"clock_position":755,"value":245},{"alpha_index":975,"clock_position":975,"value":400},{"alpha_index":1195,"clock_position":1195,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,316,536,756,976,1196],"clock_positions":[96,316,536,756,976,1196],"native_values":[322,237,107,22,107,237],"rotation_degrees":26.181818181818183,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":322},{"alpha_index":316,"clock_position":316,"value":237},{"alpha_index":536,"clock_position":536,"value":107},{"alpha_index":756,"clock_position":756,"value":22},{"alpha_index":976,"clock_position":976,"value":107},{"alpha_index":1196,"clock_position":1196,"value":237}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,317,537,757,977,1197],"clock_positions":[97,317,537,757,977,1197],"native_values":[77,267,292,267,77,52],"rotation_degrees":26.454545454545453,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":77},{"alpha_index":317,"clock_position":317,"value":267},{"alpha_index":537,"clock_position":537,"value":292},{"alpha_index":757,"clock_position":757,"value":267},{"alpha_index":977,"clock_position":977,"value":77},{"alpha_index":1197,"clock_position":1197,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,318,538,758,978,1198],"clock_positions":[98,318,538,758,978,1198],"native_values":[399,74,399,289,184,289],"rotation_degrees":26.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":399},{"alpha_index":318,"clock_position":318,"value":74},{"alpha_index":538,"clock_position":538,"value":399},{"alpha_index":758,"clock_position":758,"value":289},{"alpha_index":978,"clock_position":978,"value":184},{"alpha_index":1198,"clock_position":1198,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,319,539,759,979,1199],"clock_positions":[99,319,539,759,979,1199],"native_values":[46,341,261,126,261,341],"rotation_degrees":27.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":46},{"alpha_index":319,"clock_position":319,"value":341},{"alpha_index":539,"clock_position":539,"value":261},{"alpha_index":759,"clock_position":759,"value":126},{"alpha_index":979,"clock_position":979,"value":261},{"alpha_index":1199,"clock_position":1199,"value":341}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,320,540,760,980,1200],"clock_positions":[100,320,540,760,980,1200],"native_values":[15,415,230,415,15,200],"rotation_degrees":27.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":15},{"alpha_index":320,"clock_position":320,"value":415},{"alpha_index":540,"clock_position":540,"value":230},{"alpha_index":760,"clock_position":760,"value":415},{"alpha_index":980,"clock_position":980,"value":15},{"alpha_index":1200,"clock_position":1200,"value":200}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,321,541,761,981,1201],"clock_positions":[101,321,541,761,981,1201],"native_values":[61,326,61,111,276,111],"rotation_degrees":27.545454545454547,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":61},{"alpha_index":321,"clock_position":321,"value":326},{"alpha_index":541,"clock_position":541,"value":61},{"alpha_index":761,"clock_position":761,"value":111},{"alpha_index":981,"clock_position":981,"value":276},{"alpha_index":1201,"clock_position":1201,"value":111}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,322,542,762,982,1202],"clock_positions":[102,322,542,762,982,1202],"native_values":[76,311,291,96,291,311],"rotation_degrees":27.818181818181817,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":76},{"alpha_index":322,"clock_position":322,"value":311},{"alpha_index":542,"clock_position":542,"value":291},{"alpha_index":762,"clock_position":762,"value":96},{"alpha_index":982,"clock_position":982,"value":291},{"alpha_index":1202,"clock_position":1202,"value":311}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,323,543,763,983,1203],"clock_positions":[103,323,543,763,983,1203],"native_values":[137,207,352,207,137,422],"rotation_degrees":28.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":137},{"alpha_index":323,"clock_position":323,"value":207},{"alpha_index":543,"clock_position":543,"value":352},{"alpha_index":763,"clock_position":763,"value":207},{"alpha_index":983,"clock_position":983,"value":137},{"alpha_index":1203,"clock_position":1203,"value":422}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,324,544,764,984,1204],"clock_positions":[104,324,544,764,984,1204],"native_values":[213,88,213,303,428,303],"rotation_degrees":28.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":213},{"alpha_index":324,"clock_position":324,"value":88},{"alpha_index":544,"clock_position":544,"value":213},{"alpha_index":764,"clock_position":764,"value":303},{"alpha_index":984,"clock_position":984,"value":428},{"alpha_index":1204,"clock_position":1204,"value":303}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,325,545,765,985,1205],"clock_positions":[105,325,545,765,985,1205],"native_values":[350,295,135,80,135,295],"rotation_degrees":28.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":350},{"alpha_index":325,"clock_position":325,"value":295},{"alpha_index":545,"clock_position":545,"value":135},{"alpha_index":765,"clock_position":765,"value":80},{"alpha_index":985,"clock_position":985,"value":135},{"alpha_index":1205,"clock_position":1205,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,326,546,766,986,1206],"clock_positions":[106,326,546,766,986,1206],"native_values":[133,383,348,383,133,168],"rotation_degrees":28.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":133},{"alpha_index":326,"clock_position":326,"value":383},{"alpha_index":546,"clock_position":546,"value":348},{"alpha_index":766,"clock_position":766,"value":383},{"alpha_index":986,"clock_position":986,"value":133},{"alpha_index":1206,"clock_position":1206,"value":168}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,327,547,767,987,1207],"clock_positions":[107,327,547,767,987,1207],"native_values":[53,248,53,33,268,33],"rotation_degrees":29.181818181818183,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":53},{"alpha_index":327,"clock_position":327,"value":248},{"alpha_index":547,"clock_position":547,"value":53},{"alpha_index":767,"clock_position":767,"value":33},{"alpha_index":987,"clock_position":987,"value":268},{"alpha_index":1207,"clock_position":1207,"value":33}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,328,548,768,988,1208],"clock_positions":[108,328,548,768,988,1208],"native_values":[186,201,401,416,401,201],"rotation_degrees":29.454545454545453,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":186},{"alpha_index":328,"clock_position":328,"value":201},{"alpha_index":548,"clock_position":548,"value":401},{"alpha_index":768,"clock_position":768,"value":416},{"alpha_index":988,"clock_position":988,"value":401},{"alpha_index":1208,"clock_position":1208,"value":201}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,329,549,769,989,1209],"clock_positions":[109,329,549,769,989,1209],"native_values":[239,19,24,19,239,234],"rotation_degrees":29.727272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":239},{"alpha_index":329,"clock_position":329,"value":19},{"alpha_index":549,"clock_position":549,"value":24},{"alpha_index":769,"clock_position":769,"value":19},{"alpha_index":989,"clock_position":989,"value":239},{"alpha_index":1209,"clock_position":1209,"value":234}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,330,550,770,990,1210],"clock_positions":[110,330,550,770,990,1210],"native_values":[425,220,425,5,210,5],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":425},{"alpha_index":330,"clock_position":330,"value":220},{"alpha_index":550,"clock_position":550,"value":425},{"alpha_index":770,"clock_position":770,"value":5},{"alpha_index":990,"clock_position":990,"value":210},{"alpha_index":1210,"clock_position":1210,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,331,551,771,991,1211],"clock_positions":[111,331,551,771,991,1211],"native_values":[234,239,19,24,19,239],"rotation_degrees":30.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":234},{"alpha_index":331,"clock_position":331,"value":239},{"alpha_index":551,"clock_position":551,"value":19},{"alpha_index":771,"clock_position":771,"value":24},{"alpha_index":991,"clock_position":991,"value":19},{"alpha_index":1211,"clock_position":1211,"value":239}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,332,552,772,992,1212],"clock_positions":[112,332,552,772,992,1212],"native_values":[229,29,14,29,229,244],"rotation_degrees":30.545454545454547,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":229},{"alpha_index":332,"clock_position":332,"value":29},{"alpha_index":552,"clock_position":552,"value":14},{"alpha_index":772,"clock_position":772,"value":29},{"alpha_index":992,"clock_position":992,"value":229},{"alpha_index":1212,"clock_position":1212,"value":244}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,333,553,773,993,1213],"clock_positions":[113,333,553,773,993,1213],"native_values":[33,268,33,53,248,53],"rotation_degrees":30.818181818181817,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":33},{"alpha_index":333,"clock_position":333,"value":268},{"alpha_index":553,"clock_position":553,"value":33},{"alpha_index":773,"clock_position":773,"value":53},{"alpha_index":993,"clock_position":993,"value":248},{"alpha_index":1213,"clock_position":1213,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,334,554,774,994,1214],"clock_positions":[114,334,554,774,994,1214],"native_values":[262,297,47,82,47,297],"rotation_degrees":31.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":262},{"alpha_index":334,"clock_position":334,"value":297},{"alpha_index":554,"clock_position":554,"value":47},{"alpha_index":774,"clock_position":774,"value":82},{"alpha_index":994,"clock_position":994,"value":47},{"alpha_index":1214,"clock_position":1214,"value":297}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,335,555,775,995,1215],"clock_positions":[115,335,555,775,995,1215],"native_values":[295,135,80,135,295,350],"rotation_degrees":31.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":295},{"alpha_index":335,"clock_position":335,"value":135},{"alpha_index":555,"clock_position":555,"value":80},{"alpha_index":775,"clock_position":775,"value":135},{"alpha_index":995,"clock_position":995,"value":295},{"alpha_index":1215,"clock_position":1215,"value":350}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,336,556,776,996,1216],"clock_positions":[116,336,556,776,996,1216],"native_values":[127,2,127,217,342,217],"rotation_degrees":31.636363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":127},{"alpha_index":336,"clock_position":336,"value":2},{"alpha_index":556,"clock_position":556,"value":127},{"alpha_index":776,"clock_position":776,"value":217},{"alpha_index":996,"clock_position":996,"value":342},{"alpha_index":1216,"clock_position":1216,"value":217}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,337,557,777,997,1217],"clock_positions":[117,337,557,777,997,1217],"native_values":[422,137,207,352,207,137],"rotation_degrees":31.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":422},{"alpha_index":337,"clock_position":337,"value":137},{"alpha_index":557,"clock_position":557,"value":207},{"alpha_index":777,"clock_position":777,"value":352},{"alpha_index":997,"clock_position":997,"value":207},{"alpha_index":1217,"clock_position":1217,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,338,558,778,998,1218],"clock_positions":[118,338,558,778,998,1218],"native_values":[119,139,334,139,119,354],"rotation_degrees":32.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":119},{"alpha_index":338,"clock_position":338,"value":139},{"alpha_index":558,"clock_position":558,"value":334},{"alpha_index":778,"clock_position":778,"value":139},{"alpha_index":998,"clock_position":998,"value":119},{"alpha_index":1218,"clock_position":1218,"value":354}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,339,559,779,999,1219],"clock_positions":[119,339,559,779,999,1219],"native_values":[111,276,111,61,326,61],"rotation_degrees":32.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":111},{"alpha_index":339,"clock_position":339,"value":276},{"alpha_index":559,"clock_position":559,"value":111},{"alpha_index":779,"clock_position":779,"value":61},{"alpha_index":999,"clock_position":999,"value":326},{"alpha_index":1219,"clock_position":1219,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,340,560,780,1000,1220],"clock_positions":[120,340,560,780,1000,1220],"native_values":[230,415,15,200,15,415],"rotation_degrees":32.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":230},{"alpha_index":340,"clock_position":340,"value":415},{"alpha_index":560,"clock_position":560,"value":15},{"alpha_index":780,"clock_position":780,"value":200},{"alpha_index":1000,"clock_position":1000,"value":15},{"alpha_index":1220,"clock_position":1220,"value":415}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,341,561,781,1001,1221],"clock_positions":[121,341,561,781,1001,1221],"native_values":[341,261,126,261,341,46],"rotation_degrees":33.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":341},{"alpha_index":341,"clock_position":341,"value":261},{"alpha_index":561,"clock_position":561,"value":126},{"alpha_index":781,"clock_position":781,"value":261},{"alpha_index":1001,"clock_position":1001,"value":341},{"alpha_index":1221,"clock_position":1221,"value":46}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,342,562,782,1002,1222],"clock_positions":[122,342,562,782,1002,1222],"native_values":[141,246,141,31,356,31],"rotation_degrees":33.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":141},{"alpha_index":342,"clock_position":342,"value":246},{"alpha_index":562,"clock_position":562,"value":141},{"alpha_index":782,"clock_position":782,"value":31},{"alpha_index":1002,"clock_position":1002,"value":356},{"alpha_index":1222,"clock_position":1222,"value":31}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,343,563,783,1003,1223],"clock_positions":[123,343,563,783,1003,1223],"native_values":[52,77,267,292,267,77],"rotation_degrees":33.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":52},{"alpha_index":343,"clock_position":343,"value":77},{"alpha_index":563,"clock_position":563,"value":267},{"alpha_index":783,"clock_position":783,"value":292},{"alpha_index":1003,"clock_position":1003,"value":267},{"alpha_index":1223,"clock_position":1223,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,344,564,784,1004,1224],"clock_positions":[124,344,564,784,1004,1224],"native_values":[193,323,408,323,193,108],"rotation_degrees":33.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":193},{"alpha_index":344,"clock_position":344,"value":323},{"alpha_index":564,"clock_position":564,"value":408},{"alpha_index":784,"clock_position":784,"value":323},{"alpha_index":1004,"clock_position":1004,"value":193},{"alpha_index":1224,"clock_position":1224,"value":108}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,345,565,785,1005,1225],"clock_positions":[125,345,565,785,1005,1225],"native_values":[245,400,245,185,30,185],"rotation_degrees":34.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":245},{"alpha_index":345,"clock_position":345,"value":400},{"alpha_index":565,"clock_position":565,"value":245},{"alpha_index":785,"clock_position":785,"value":185},{"alpha_index":1005,"clock_position":1005,"value":30},{"alpha_index":1225,"clock_position":1225,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,346,566,786,1006,1226],"clock_positions":[126,346,566,786,1006,1226],"native_values":[8,293,223,78,223,293],"rotation_degrees":34.36363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":8},{"alpha_index":346,"clock_position":346,"value":293},{"alpha_index":566,"clock_position":566,"value":223},{"alpha_index":786,"clock_position":786,"value":78},{"alpha_index":1006,"clock_position":1006,"value":223},{"alpha_index":1226,"clock_position":1226,"value":293}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,347,567,787,1007,1227],"clock_positions":[127,347,567,787,1007,1227],"native_values":[253,263,38,263,253,48],"rotation_degrees":34.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":253},{"alpha_index":347,"clock_position":347,"value":263},{"alpha_index":567,"clock_position":567,"value":38},{"alpha_index":787,"clock_position":787,"value":263},{"alpha_index":1007,"clock_position":1007,"value":253},{"alpha_index":1227,"clock_position":1227,"value":48}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,348,568,788,1008,1228],"clock_positions":[128,348,568,788,1008,1228],"native_values":[261,126,261,341,46,341],"rotation_degrees":34.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":261},{"alpha_index":348,"clock_position":348,"value":126},{"alpha_index":568,"clock_position":568,"value":261},{"alpha_index":788,"clock_position":788,"value":341},{"alpha_index":1008,"clock_position":1008,"value":46},{"alpha_index":1228,"clock_position":1228,"value":341}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,349,569,789,1009,1229],"clock_positions":[129,349,569,789,1009,1229],"native_values":[84,389,299,174,299,389],"rotation_degrees":35.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":84},{"alpha_index":349,"clock_position":349,"value":389},{"alpha_index":569,"clock_position":569,"value":299},{"alpha_index":789,"clock_position":789,"value":174},{"alpha_index":1009,"clock_position":1009,"value":299},{"alpha_index":1229,"clock_position":1229,"value":389}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,350,570,790,1010,1230],"clock_positions":[130,350,570,790,1010,1230],"native_values":[345,85,130,85,345,300],"rotation_degrees":35.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":345},{"alpha_index":350,"clock_position":350,"value":85},{"alpha_index":570,"clock_position":570,"value":130},{"alpha_index":790,"clock_position":790,"value":85},{"alpha_index":1010,"clock_position":1010,"value":345},{"alpha_index":1230,"clock_position":1230,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,351,571,791,1011,1231],"clock_positions":[131,351,571,791,1011,1231],"native_values":[429,44,429,259,214,259],"rotation_degrees":35.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":429},{"alpha_index":351,"clock_position":351,"value":44},{"alpha_index":571,"clock_position":571,"value":429},{"alpha_index":791,"clock_position":791,"value":259},{"alpha_index":1011,"clock_position":1011,"value":214},{"alpha_index":1231,"clock_position":1231,"value":259}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,352,572,792,1012,1232],"clock_positions":[132,352,572,792,1012,1232],"native_values":[344,129,129,344,129,129],"rotation_degrees":36.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":344},{"alpha_index":352,"clock_position":352,"value":129},{"alpha_index":572,"clock_position":572,"value":129},{"alpha_index":792,"clock_position":792,"value":344},{"alpha_index":1012,"clock_position":1012,"value":129},{"alpha_index":1232,"clock_position":1232,"value":129}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,353,573,793,1013,1233],"clock_positions":[133,353,573,793,1013,1233],"native_values":[343,173,128,173,343,388],"rotation_degrees":36.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":343},{"alpha_index":353,"clock_position":353,"value":173},{"alpha_index":573,"clock_position":573,"value":128},{"alpha_index":793,"clock_position":793,"value":173},{"alpha_index":1013,"clock_position":1013,"value":343},{"alpha_index":1233,"clock_position":1233,"value":388}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,354,574,794,1014,1234],"clock_positions":[134,354,574,794,1014,1234],"native_values":[257,302,257,87,42,87],"rotation_degrees":36.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":257},{"alpha_index":354,"clock_position":354,"value":302},{"alpha_index":574,"clock_position":574,"value":257},{"alpha_index":794,"clock_position":794,"value":87},{"alpha_index":1014,"clock_position":1014,"value":42},{"alpha_index":1234,"clock_position":1234,"value":87}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,355,575,795,1015,1235],"clock_positions":[135,355,575,795,1015,1235],"native_values":[170,45,385,260,385,45],"rotation_degrees":36.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":170},{"alpha_index":355,"clock_position":355,"value":45},{"alpha_index":575,"clock_position":575,"value":385},{"alpha_index":795,"clock_position":795,"value":260},{"alpha_index":1015,"clock_position":1015,"value":385},{"alpha_index":1235,"clock_position":1235,"value":45}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,356,576,796,1016,1236],"clock_positions":[136,356,576,796,1016,1236],"native_values":[427,347,212,347,427,132],"rotation_degrees":37.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":427},{"alpha_index":356,"clock_position":356,"value":347},{"alpha_index":576,"clock_position":576,"value":212},{"alpha_index":796,"clock_position":796,"value":347},{"alpha_index":1016,"clock_position":1016,"value":427},{"alpha_index":1236,"clock_position":1236,"value":132}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,357,577,797,1017,1237],"clock_positions":[137,357,577,797,1017,1237],"native_values":[167,392,167,177,382,177],"rotation_degrees":37.36363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":167},{"alpha_index":357,"clock_position":357,"value":392},{"alpha_index":577,"clock_position":577,"value":167},{"alpha_index":797,"clock_position":797,"value":177},{"alpha_index":1017,"clock_position":1017,"value":382},{"alpha_index":1237,"clock_position":1237,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,358,578,798,1018,1238],"clock_positions":[138,358,578,798,1018,1238],"native_values":[164,309,379,94,379,309],"rotation_degrees":37.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":164},{"alpha_index":358,"clock_position":358,"value":309},{"alpha_index":578,"clock_position":578,"value":379},{"alpha_index":798,"clock_position":798,"value":94},{"alpha_index":1018,"clock_position":1018,"value":379},{"alpha_index":1238,"clock_position":1238,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,359,579,799,1019,1239],"clock_positions":[139,359,579,799,1019,1239],"native_values":[331,271,116,271,331,56],"rotation_degrees":37.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":331},{"alpha_index":359,"clock_position":359,"value":271},{"alpha_index":579,"clock_position":579,"value":116},{"alpha_index":799,"clock_position":799,"value":271},{"alpha_index":1019,"clock_position":1019,"value":331},{"alpha_index":1239,"clock_position":1239,"value":56}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,360,580,800,1020,1240],"clock_positions":[140,360,580,800,1020,1240],"native_values":[65,150,65,365,280,365],"rotation_degrees":38.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":65},{"alpha_index":360,"clock_position":360,"value":150},{"alpha_index":580,"clock_position":580,"value":65},{"alpha_index":800,"clock_position":800,"value":365},{"alpha_index":1020,"clock_position":1020,"value":280},{"alpha_index":1240,"clock_position":1240,"value":365}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,361,581,801,1021,1241],"clock_positions":[141,361,581,801,1021,1241],"native_values":[396,421,181,206,181,421],"rotation_degrees":38.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":396},{"alpha_index":361,"clock_position":361,"value":421},{"alpha_index":581,"clock_position":581,"value":181},{"alpha_index":801,"clock_position":801,"value":206},{"alpha_index":1021,"clock_position":1021,"value":181},{"alpha_index":1241,"clock_position":1241,"value":421}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,362,582,802,1022,1242],"clock_positions":[142,362,582,802,1022,1242],"native_values":[31,141,246,141,31,356],"rotation_degrees":38.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":31},{"alpha_index":362,"clock_position":362,"value":141},{"alpha_index":582,"clock_position":582,"value":246},{"alpha_index":802,"clock_position":802,"value":141},{"alpha_index":1022,"clock_position":1022,"value":31},{"alpha_index":1242,"clock_position":1242,"value":356}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,363,583,803,1023,1243],"clock_positions":[143,363,583,803,1023,1243],"native_values":[427,132,427,347,212,347],"rotation_degrees":39.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":427},{"alpha_index":363,"clock_position":363,"value":132},{"alpha_index":583,"clock_position":583,"value":427},{"alpha_index":803,"clock_position":803,"value":347},{"alpha_index":1023,"clock_position":1023,"value":212},{"alpha_index":1243,"clock_position":1243,"value":347}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,364,584,804,1024,1244],"clock_positions":[144,364,584,804,1024,1244],"native_values":[28,273,243,58,243,273],"rotation_degrees":39.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":28},{"alpha_index":364,"clock_position":364,"value":273},{"alpha_index":584,"clock_position":584,"value":243},{"alpha_index":804,"clock_position":804,"value":58},{"alpha_index":1024,"clock_position":1024,"value":243},{"alpha_index":1244,"clock_position":1244,"value":273}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,365,585,805,1025,1245],"clock_positions":[145,365,585,805,1025,1245],"native_values":[25,405,240,405,25,190],"rotation_degrees":39.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":25},{"alpha_index":365,"clock_position":365,"value":405},{"alpha_index":585,"clock_position":585,"value":240},{"alpha_index":805,"clock_position":805,"value":405},{"alpha_index":1025,"clock_position":1025,"value":25},{"alpha_index":1245,"clock_position":1245,"value":190}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,366,586,806,1026,1246],"clock_positions":[146,366,586,806,1026,1246],"native_values":[53,248,53,33,268,33],"rotation_degrees":39.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":53},{"alpha_index":366,"clock_position":366,"value":248},{"alpha_index":586,"clock_position":586,"value":53},{"alpha_index":806,"clock_position":806,"value":33},{"alpha_index":1026,"clock_position":1026,"value":268},{"alpha_index":1246,"clock_position":1246,"value":33}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,367,587,807,1027,1247],"clock_positions":[147,367,587,807,1027,1247],"native_values":[78,223,293,8,293,223],"rotation_degrees":40.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":78},{"alpha_index":367,"clock_position":367,"value":223},{"alpha_index":587,"clock_position":587,"value":293},{"alpha_index":807,"clock_position":807,"value":8},{"alpha_index":1027,"clock_position":1027,"value":293},{"alpha_index":1247,"clock_position":1247,"value":223}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,368,588,808,1028,1248],"clock_positions":[148,368,588,808,1028,1248],"native_values":[131,41,346,41,131,256],"rotation_degrees":40.36363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":131},{"alpha_index":368,"clock_position":368,"value":41},{"alpha_index":588,"clock_position":588,"value":346},{"alpha_index":808,"clock_position":808,"value":41},{"alpha_index":1028,"clock_position":1028,"value":131},{"alpha_index":1248,"clock_position":1248,"value":256}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,369,589,809,1029,1249],"clock_positions":[149,369,589,809,1029,1249],"native_values":[209,264,209,49,424,49],"rotation_degrees":40.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":209},{"alpha_index":369,"clock_position":369,"value":264},{"alpha_index":589,"clock_position":589,"value":209},{"alpha_index":809,"clock_position":809,"value":49},{"alpha_index":1029,"clock_position":1029,"value":424},{"alpha_index":1249,"clock_position":1249,"value":49}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,370,590,810,1030,1250],"clock_positions":[150,370,590,810,1030,1250],"native_values":[340,305,125,90,125,305],"rotation_degrees":40.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":340},{"alpha_index":370,"clock_position":370,"value":305},{"alpha_index":590,"clock_position":590,"value":125},{"alpha_index":810,"clock_position":810,"value":90},{"alpha_index":1030,"clock_position":1030,"value":125},{"alpha_index":1250,"clock_position":1250,"value":305}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,371,591,811,1031,1251],"clock_positions":[151,371,591,811,1031,1251],"native_values":[119,139,334,139,119,354],"rotation_degrees":41.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":119},{"alpha_index":371,"clock_position":371,"value":139},{"alpha_index":591,"clock_position":591,"value":334},{"alpha_index":811,"clock_position":811,"value":139},{"alpha_index":1031,"clock_position":1031,"value":119},{"alpha_index":1251,"clock_position":1251,"value":354}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,372,592,812,1032,1252],"clock_positions":[152,372,592,812,1032,1252],"native_values":[29,14,29,229,244,229],"rotation_degrees":41.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":29},{"alpha_index":372,"clock_position":372,"value":14},{"alpha_index":592,"clock_position":592,"value":29},{"alpha_index":812,"clock_position":812,"value":229},{"alpha_index":1032,"clock_position":1032,"value":244},{"alpha_index":1252,"clock_position":1252,"value":229}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,373,593,813,1033,1253],"clock_positions":[153,373,593,813,1033,1253],"native_values":[148,153,363,368,363,153],"rotation_degrees":41.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":148},{"alpha_index":373,"clock_position":373,"value":153},{"alpha_index":593,"clock_position":593,"value":363},{"alpha_index":813,"clock_position":813,"value":368},{"alpha_index":1033,"clock_position":1033,"value":363},{"alpha_index":1253,"clock_position":1253,"value":153}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,374,594,814,1034,1254],"clock_positions":[154,374,594,814,1034,1254],"native_values":[177,167,392,167,177,382],"rotation_degrees":42.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":177},{"alpha_index":374,"clock_position":374,"value":167},{"alpha_index":594,"clock_position":594,"value":392},{"alpha_index":814,"clock_position":814,"value":167},{"alpha_index":1034,"clock_position":1034,"value":177},{"alpha_index":1254,"clock_position":1254,"value":382}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,375,595,815,1035,1255],"clock_positions":[155,375,595,815,1035,1255],"native_values":[325,320,325,105,110,105],"rotation_degrees":42.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":325},{"alpha_index":375,"clock_position":375,"value":320},{"alpha_index":595,"clock_position":595,"value":325},{"alpha_index":815,"clock_position":815,"value":105},{"alpha_index":1035,"clock_position":1035,"value":110},{"alpha_index":1255,"clock_position":1255,"value":105}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,376,596,816,1036,1256],"clock_positions":[156,376,596,816,1036,1256],"native_values":[72,57,287,272,287,57],"rotation_degrees":42.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":72},{"alpha_index":376,"clock_position":376,"value":57},{"alpha_index":596,"clock_position":596,"value":287},{"alpha_index":816,"clock_position":816,"value":272},{"alpha_index":1036,"clock_position":1036,"value":287},{"alpha_index":1256,"clock_position":1256,"value":57}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,377,597,817,1037,1257],"clock_positions":[157,377,597,817,1037,1257],"native_values":[397,377,182,377,397,162],"rotation_degrees":42.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":397},{"alpha_index":377,"clock_position":377,"value":377},{"alpha_index":597,"clock_position":597,"value":182},{"alpha_index":817,"clock_position":817,"value":377},{"alpha_index":1037,"clock_position":1037,"value":397},{"alpha_index":1257,"clock_position":1257,"value":162}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,378,598,818,1038,1258],"clock_positions":[158,378,598,818,1038,1258],"native_values":[39,4,39,219,254,219],"rotation_degrees":43.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":39},{"alpha_index":378,"clock_position":378,"value":4},{"alpha_index":598,"clock_position":598,"value":39},{"alpha_index":818,"clock_position":818,"value":219},{"alpha_index":1038,"clock_position":1038,"value":254},{"alpha_index":1258,"clock_position":1258,"value":219}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,379,599,819,1039,1259],"clock_positions":[159,379,599,819,1039,1259],"native_values":[6,381,221,166,221,381],"rotation_degrees":43.36363636363637,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":379,"clock_position":379,"value":381},{"alpha_index":599,"clock_position":599,"value":221},{"alpha_index":819,"clock_position":819,"value":166},{"alpha_index":1039,"clock_position":1039,"value":221},{"alpha_index":1259,"clock_position":1259,"value":381}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,380,600,820,1040,1260],"clock_positions":[160,380,600,820,1040,1260],"native_values":[45,385,260,385,45,170],"rotation_degrees":43.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":45},{"alpha_index":380,"clock_position":380,"value":385},{"alpha_index":600,"clock_position":600,"value":260},{"alpha_index":820,"clock_position":820,"value":385},{"alpha_index":1040,"clock_position":1040,"value":45},{"alpha_index":1260,"clock_position":1260,"value":170}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,381,601,821,1041,1261],"clock_positions":[161,381,601,821,1041,1261],"native_values":[51,336,51,121,266,121],"rotation_degrees":43.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":51},{"alpha_index":381,"clock_position":381,"value":336},{"alpha_index":601,"clock_position":601,"value":51},{"alpha_index":821,"clock_position":821,"value":121},{"alpha_index":1041,"clock_position":1041,"value":266},{"alpha_index":1261,"clock_position":1261,"value":121}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,382,602,822,1042,1262],"clock_positions":[162,382,602,822,1042,1262],"native_values":[96,291,311,76,311,291],"rotation_degrees":44.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":96},{"alpha_index":382,"clock_position":382,"value":291},{"alpha_index":602,"clock_position":602,"value":311},{"alpha_index":822,"clock_position":822,"value":76},{"alpha_index":1042,"clock_position":1042,"value":311},{"alpha_index":1262,"clock_position":1262,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,383,603,823,1043,1263],"clock_positions":[163,383,603,823,1043,1263],"native_values":[147,197,362,197,147,412],"rotation_degrees":44.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":147},{"alpha_index":383,"clock_position":383,"value":197},{"alpha_index":603,"clock_position":603,"value":362},{"alpha_index":823,"clock_position":823,"value":197},{"alpha_index":1043,"clock_position":1043,"value":147},{"alpha_index":1263,"clock_position":1263,"value":412}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,384,604,824,1044,1264],"clock_positions":[164,384,604,824,1044,1264],"native_values":[243,58,243,273,28,273],"rotation_degrees":44.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":243},{"alpha_index":384,"clock_position":384,"value":58},{"alpha_index":604,"clock_position":604,"value":243},{"alpha_index":824,"clock_position":824,"value":273},{"alpha_index":1044,"clock_position":1044,"value":28},{"alpha_index":1264,"clock_position":1264,"value":273}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,385,605,825,1045,1265],"clock_positions":[165,385,605,825,1045,1265],"native_values":[390,255,175,40,175,255],"rotation_degrees":45.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":390},{"alpha_index":385,"clock_position":385,"value":255},{"alpha_index":605,"clock_position":605,"value":175},{"alpha_index":825,"clock_position":825,"value":40},{"alpha_index":1045,"clock_position":1045,"value":175},{"alpha_index":1265,"clock_position":1265,"value":255}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,386,606,826,1046,1266],"clock_positions":[166,386,606,826,1046,1266],"native_values":[203,313,418,313,203,98],"rotation_degrees":45.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":203},{"alpha_index":386,"clock_position":386,"value":313},{"alpha_index":606,"clock_position":606,"value":418},{"alpha_index":826,"clock_position":826,"value":313},{"alpha_index":1046,"clock_position":1046,"value":203},{"alpha_index":1266,"clock_position":1266,"value":98}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,387,607,827,1047,1267],"clock_positions":[167,387,607,827,1047,1267],"native_values":[163,138,163,353,378,353],"rotation_degrees":45.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":163},{"alpha_index":387,"clock_position":387,"value":138},{"alpha_index":607,"clock_position":607,"value":163},{"alpha_index":827,"clock_position":827,"value":353},{"alpha_index":1047,"clock_position":1047,"value":378},{"alpha_index":1267,"clock_position":1267,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,388,608,828,1048,1268],"clock_positions":[168,388,608,828,1048,1268],"native_values":[366,21,151,236,151,21],"rotation_degrees":45.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":366},{"alpha_index":388,"clock_position":388,"value":21},{"alpha_index":608,"clock_position":608,"value":151},{"alpha_index":828,"clock_position":828,"value":236},{"alpha_index":1048,"clock_position":1048,"value":151},{"alpha_index":1268,"clock_position":1268,"value":21}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,389,609,829,1049,1269],"clock_positions":[169,389,609,829,1049,1269],"native_values":[99,159,314,159,99,374],"rotation_degrees":46.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":99},{"alpha_index":389,"clock_position":389,"value":159},{"alpha_index":609,"clock_position":609,"value":314},{"alpha_index":829,"clock_position":829,"value":159},{"alpha_index":1049,"clock_position":1049,"value":99},{"alpha_index":1269,"clock_position":1269,"value":374}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,390,610,830,1050,1270],"clock_positions":[170,390,610,830,1050,1270],"native_values":[35,180,35,395,250,395],"rotation_degrees":46.36363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":35},{"alpha_index":390,"clock_position":390,"value":180},{"alpha_index":610,"clock_position":610,"value":35},{"alpha_index":830,"clock_position":830,"value":395},{"alpha_index":1050,"clock_position":1050,"value":250},{"alpha_index":1270,"clock_position":1270,"value":395}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,391,611,831,1051,1271],"clock_positions":[171,391,611,831,1051,1271],"native_values":[134,339,349,124,349,339],"rotation_degrees":46.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":134},{"alpha_index":391,"clock_position":391,"value":339},{"alpha_index":611,"clock_position":611,"value":349},{"alpha_index":831,"clock_position":831,"value":124},{"alpha_index":1051,"clock_position":1051,"value":349},{"alpha_index":1271,"clock_position":1271,"value":339}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,392,612,832,1052,1272],"clock_positions":[172,392,612,832,1052,1272],"native_values":[169,89,384,89,169,304],"rotation_degrees":46.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":169},{"alpha_index":392,"clock_position":392,"value":89},{"alpha_index":612,"clock_position":612,"value":384},{"alpha_index":832,"clock_position":832,"value":89},{"alpha_index":1052,"clock_position":1052,"value":169},{"alpha_index":1272,"clock_position":1272,"value":304}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,393,613,833,1053,1273],"clock_positions":[173,393,613,833,1053,1273],"native_values":[303,428,303,213,88,213],"rotation_degrees":47.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":303},{"alpha_index":393,"clock_position":393,"value":428},{"alpha_index":613,"clock_position":613,"value":303},{"alpha_index":833,"clock_position":833,"value":213},{"alpha_index":1053,"clock_position":1053,"value":88},{"alpha_index":1273,"clock_position":1273,"value":213}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,394,614,834,1054,1274],"clock_positions":[174,394,614,834,1054,1274],"native_values":[42,87,257,302,257,87],"rotation_degrees":47.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":42},{"alpha_index":394,"clock_position":394,"value":87},{"alpha_index":614,"clock_position":614,"value":257},{"alpha_index":834,"clock_position":834,"value":302},{"alpha_index":1054,"clock_position":1054,"value":257},{"alpha_index":1274,"clock_position":1274,"value":87}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,395,615,835,1055,1275],"clock_positions":[175,395,615,835,1055,1275],"native_values":[345,85,130,85,345,300],"rotation_degrees":47.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":345},{"alpha_index":395,"clock_position":395,"value":85},{"alpha_index":615,"clock_position":615,"value":130},{"alpha_index":835,"clock_position":835,"value":85},{"alpha_index":1055,"clock_position":1055,"value":345},{"alpha_index":1275,"clock_position":1275,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,396,616,836,1056,1276],"clock_positions":[176,396,616,836,1056,1276],"native_values":[387,172,387,387,172,387],"rotation_degrees":48.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":387},{"alpha_index":396,"clock_position":396,"value":172},{"alpha_index":616,"clock_position":616,"value":387},{"alpha_index":836,"clock_position":836,"value":387},{"alpha_index":1056,"clock_position":1056,"value":172},{"alpha_index":1276,"clock_position":1276,"value":387}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,397,617,837,1057,1277],"clock_positions":[177,397,617,837,1057,1277],"native_values":[302,257,87,42,87,257],"rotation_degrees":48.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":302},{"alpha_index":397,"clock_position":397,"value":257},{"alpha_index":617,"clock_position":617,"value":87},{"alpha_index":837,"clock_position":837,"value":42},{"alpha_index":1057,"clock_position":1057,"value":87},{"alpha_index":1277,"clock_position":1277,"value":257}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,398,618,838,1058,1278],"clock_positions":[178,398,618,838,1058,1278],"native_values":[259,429,44,429,259,214],"rotation_degrees":48.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":259},{"alpha_index":398,"clock_position":398,"value":429},{"alpha_index":618,"clock_position":618,"value":44},{"alpha_index":838,"clock_position":838,"value":429},{"alpha_index":1058,"clock_position":1058,"value":259},{"alpha_index":1278,"clock_position":1278,"value":214}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,399,619,839,1059,1279],"clock_positions":[179,399,619,839,1059,1279],"native_values":[131,256,131,41,346,41],"rotation_degrees":48.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":131},{"alpha_index":399,"clock_position":399,"value":256},{"alpha_index":619,"clock_position":619,"value":131},{"alpha_index":839,"clock_position":839,"value":41},{"alpha_index":1059,"clock_position":1059,"value":346},{"alpha_index":1279,"clock_position":1279,"value":41}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,400,620,840,1060,1280],"clock_positions":[180,400,620,840,1060,1280],"native_values":[390,255,175,40,175,255],"rotation_degrees":49.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":390},{"alpha_index":400,"clock_position":400,"value":255},{"alpha_index":620,"clock_position":620,"value":175},{"alpha_index":840,"clock_position":840,"value":40},{"alpha_index":1060,"clock_position":1060,"value":175},{"alpha_index":1280,"clock_position":1280,"value":255}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,401,621,841,1061,1281],"clock_positions":[181,401,621,841,1061,1281],"native_values":[91,81,306,81,91,296],"rotation_degrees":49.36363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":91},{"alpha_index":401,"clock_position":401,"value":81},{"alpha_index":621,"clock_position":621,"value":306},{"alpha_index":841,"clock_position":841,"value":81},{"alpha_index":1061,"clock_position":1061,"value":91},{"alpha_index":1281,"clock_position":1281,"value":296}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,402,622,842,1062,1282],"clock_positions":[182,402,622,842,1062,1282],"native_values":[51,336,51,121,266,121],"rotation_degrees":49.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":51},{"alpha_index":402,"clock_position":402,"value":336},{"alpha_index":622,"clock_position":622,"value":51},{"alpha_index":842,"clock_position":842,"value":121},{"alpha_index":1062,"clock_position":1062,"value":266},{"alpha_index":1282,"clock_position":1282,"value":121}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,403,623,843,1063,1283],"clock_positions":[183,403,623,843,1063,1283],"native_values":[142,417,357,202,357,417],"rotation_degrees":49.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":142},{"alpha_index":403,"clock_position":403,"value":417},{"alpha_index":623,"clock_position":623,"value":357},{"alpha_index":843,"clock_position":843,"value":202},{"alpha_index":1063,"clock_position":1063,"value":357},{"alpha_index":1283,"clock_position":1283,"value":417}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,404,624,844,1064,1284],"clock_positions":[184,404,624,844,1064,1284],"native_values":[193,323,408,323,193,108],"rotation_degrees":50.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":193},{"alpha_index":404,"clock_position":404,"value":323},{"alpha_index":624,"clock_position":624,"value":408},{"alpha_index":844,"clock_position":844,"value":323},{"alpha_index":1064,"clock_position":1064,"value":193},{"alpha_index":1284,"clock_position":1284,"value":108}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,405,625,845,1065,1285],"clock_positions":[185,405,625,845,1065,1285],"native_values":[335,310,335,95,120,95],"rotation_degrees":50.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":335},{"alpha_index":405,"clock_position":405,"value":310},{"alpha_index":625,"clock_position":625,"value":335},{"alpha_index":845,"clock_position":845,"value":95},{"alpha_index":1065,"clock_position":1065,"value":120},{"alpha_index":1285,"clock_position":1285,"value":95}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,406,626,846,1066,1286],"clock_positions":[186,406,626,846,1066,1286],"native_values":[98,203,313,418,313,203],"rotation_degrees":50.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":98},{"alpha_index":406,"clock_position":406,"value":203},{"alpha_index":626,"clock_position":626,"value":313},{"alpha_index":846,"clock_position":846,"value":418},{"alpha_index":1066,"clock_position":1066,"value":313},{"alpha_index":1286,"clock_position":1286,"value":203}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,407,627,847,1067,1287],"clock_positions":[187,407,627,847,1067,1287],"native_values":[3,83,218,83,3,298],"rotation_degrees":51.0,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":407,"clock_position":407,"value":83},{"alpha_index":627,"clock_position":627,"value":218},{"alpha_index":847,"clock_position":847,"value":83},{"alpha_index":1287,"clock_position":1287,"value":298}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,408,628,848,1068,1288],"clock_positions":[188,408,628,848,1068,1288],"native_values":[101,286,101,71,316,71],"rotation_degrees":51.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":101},{"alpha_index":408,"clock_position":408,"value":286},{"alpha_index":628,"clock_position":628,"value":101},{"alpha_index":848,"clock_position":848,"value":71},{"alpha_index":1068,"clock_position":1068,"value":316},{"alpha_index":1288,"clock_position":1288,"value":71}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,409,629,849,1069,1289],"clock_positions":[189,409,629,849,1069,1289],"native_values":[104,369,319,154,319,369],"rotation_degrees":51.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":104},{"alpha_index":409,"clock_position":409,"value":369},{"alpha_index":629,"clock_position":629,"value":319},{"alpha_index":849,"clock_position":849,"value":154},{"alpha_index":1069,"clock_position":1069,"value":319},{"alpha_index":1289,"clock_position":1289,"value":369}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,410,630,850,1070,1290],"clock_positions":[190,410,630,850,1070,1290],"native_values":[205,225,420,225,205,10],"rotation_degrees":51.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":205},{"alpha_index":410,"clock_position":410,"value":225},{"alpha_index":630,"clock_position":630,"value":420},{"alpha_index":850,"clock_position":850,"value":225},{"alpha_index":1070,"clock_position":1070,"value":205},{"alpha_index":1290,"clock_position":1290,"value":10}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,411,631,851,1071,1291],"clock_positions":[191,411,631,851,1071,1291],"native_values":[309,164,309,379,94,379],"rotation_degrees":52.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":309},{"alpha_index":411,"clock_position":411,"value":164},{"alpha_index":631,"clock_position":631,"value":309},{"alpha_index":851,"clock_position":851,"value":379},{"alpha_index":1071,"clock_position":1071,"value":94},{"alpha_index":1291,"clock_position":1291,"value":379}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,412,632,852,1072,1292],"clock_positions":[192,412,632,852,1072,1292],"native_values":[84,389,299,174,299,389],"rotation_degrees":52.36363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":84},{"alpha_index":412,"clock_position":412,"value":389},{"alpha_index":632,"clock_position":632,"value":299},{"alpha_index":852,"clock_position":852,"value":174},{"alpha_index":1072,"clock_position":1072,"value":299},{"alpha_index":1292,"clock_position":1292,"value":389}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,413,633,853,1073,1293],"clock_positions":[193,413,633,853,1073,1293],"native_values":[393,123,178,123,393,338],"rotation_degrees":52.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":393},{"alpha_index":413,"clock_position":413,"value":123},{"alpha_index":633,"clock_position":633,"value":178},{"alpha_index":853,"clock_position":853,"value":123},{"alpha_index":1073,"clock_position":1073,"value":393},{"alpha_index":1293,"clock_position":1293,"value":338}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,414,634,854,1074,1294],"clock_positions":[194,414,634,854,1074,1294],"native_values":[47,82,47,297,262,297],"rotation_degrees":52.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":47},{"alpha_index":414,"clock_position":414,"value":82},{"alpha_index":634,"clock_position":634,"value":47},{"alpha_index":854,"clock_position":854,"value":297},{"alpha_index":1074,"clock_position":1074,"value":262},{"alpha_index":1294,"clock_position":1294,"value":297}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,415,635,855,1075,1295],"clock_positions":[195,415,635,855,1075,1295],"native_values":[10,205,225,420,225,205],"rotation_degrees":53.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":10},{"alpha_index":415,"clock_position":415,"value":205},{"alpha_index":635,"clock_position":635,"value":225},{"alpha_index":855,"clock_position":855,"value":420},{"alpha_index":1075,"clock_position":1075,"value":225},{"alpha_index":1295,"clock_position":1295,"value":205}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,416,636,856,1076,1296],"clock_positions":[196,416,636,856,1076,1296],"native_values":[57,287,272,287,57,72],"rotation_degrees":53.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":57},{"alpha_index":416,"clock_position":416,"value":287},{"alpha_index":636,"clock_position":636,"value":272},{"alpha_index":856,"clock_position":856,"value":287},{"alpha_index":1076,"clock_position":1076,"value":57},{"alpha_index":1296,"clock_position":1296,"value":72}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,417,637,857,1077,1297],"clock_positions":[197,417,637,857,1077,1297],"native_values":[67,62,67,277,282,277],"rotation_degrees":53.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":67},{"alpha_index":417,"clock_position":417,"value":62},{"alpha_index":637,"clock_position":637,"value":67},{"alpha_index":857,"clock_position":857,"value":277},{"alpha_index":1077,"clock_position":1077,"value":282},{"alpha_index":1297,"clock_position":1297,"value":277}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,418,638,858,1078,1298],"clock_positions":[198,418,638,858,1078,1298],"native_values":[124,349,339,134,339,349],"rotation_degrees":54.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":124},{"alpha_index":418,"clock_position":418,"value":349},{"alpha_index":638,"clock_position":638,"value":339},{"alpha_index":858,"clock_position":858,"value":134},{"alpha_index":1078,"clock_position":1078,"value":339},{"alpha_index":1298,"clock_position":1298,"value":349}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,419,639,859,1079,1299],"clock_positions":[199,419,639,859,1079,1299],"native_values":[191,411,406,411,191,196],"rotation_degrees":54.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":191},{"alpha_index":419,"clock_position":419,"value":411},{"alpha_index":639,"clock_position":639,"value":406},{"alpha_index":859,"clock_position":859,"value":411},{"alpha_index":1079,"clock_position":1079,"value":191},{"alpha_index":1299,"clock_position":1299,"value":196}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,420,640,860,1080,1300],"clock_positions":[200,420,640,860,1080,1300],"native_values":[315,330,315,115,100,115],"rotation_degrees":54.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":315},{"alpha_index":420,"clock_position":420,"value":330},{"alpha_index":640,"clock_position":640,"value":315},{"alpha_index":860,"clock_position":860,"value":115},{"alpha_index":1080,"clock_position":1080,"value":100},{"alpha_index":1300,"clock_position":1300,"value":115}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,421,641,861,1081,1301],"clock_positions":[201,421,641,861,1081,1301],"native_values":[76,311,291,96,291,311],"rotation_degrees":54.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":76},{"alpha_index":421,"clock_position":421,"value":311},{"alpha_index":641,"clock_position":641,"value":291},{"alpha_index":861,"clock_position":861,"value":96},{"alpha_index":1081,"clock_position":1081,"value":291},{"alpha_index":1301,"clock_position":1301,"value":311}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,422,642,862,1082,1302],"clock_positions":[202,422,642,862,1082,1302],"native_values":[391,211,176,211,391,426],"rotation_degrees":55.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":391},{"alpha_index":422,"clock_position":422,"value":211},{"alpha_index":642,"clock_position":642,"value":176},{"alpha_index":862,"clock_position":862,"value":211},{"alpha_index":1082,"clock_position":1082,"value":391},{"alpha_index":1302,"clock_position":1302,"value":426}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,423,643,863,1083,1303],"clock_positions":[203,423,643,863,1083,1303],"native_values":[37,92,37,307,252,307],"rotation_degrees":55.36363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":37},{"alpha_index":423,"clock_position":423,"value":92},{"alpha_index":643,"clock_position":643,"value":37},{"alpha_index":863,"clock_position":863,"value":307},{"alpha_index":1083,"clock_position":1083,"value":252},{"alpha_index":1303,"clock_position":1303,"value":307}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,424,644,864,1084,1304],"clock_positions":[204,424,644,864,1084,1304],"native_values":[428,303,213,88,213,303],"rotation_degrees":55.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":428},{"alpha_index":424,"clock_position":424,"value":303},{"alpha_index":644,"clock_position":644,"value":213},{"alpha_index":864,"clock_position":864,"value":88},{"alpha_index":1084,"clock_position":1084,"value":213},{"alpha_index":1304,"clock_position":1304,"value":303}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,425,645,865,1085,1305],"clock_positions":[205,425,645,865,1085,1305],"native_values":[35,395,250,395,35,180],"rotation_degrees":55.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":35},{"alpha_index":425,"clock_position":425,"value":395},{"alpha_index":645,"clock_position":645,"value":250},{"alpha_index":865,"clock_position":865,"value":395},{"alpha_index":1085,"clock_position":1085,"value":35},{"alpha_index":1305,"clock_position":1305,"value":180}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,426,646,866,1086,1306],"clock_positions":[206,426,646,866,1086,1306],"native_values":[33,268,33,53,248,53],"rotation_degrees":56.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":33},{"alpha_index":426,"clock_position":426,"value":268},{"alpha_index":646,"clock_position":646,"value":33},{"alpha_index":866,"clock_position":866,"value":53},{"alpha_index":1086,"clock_position":1086,"value":248},{"alpha_index":1306,"clock_position":1306,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,427,647,867,1087,1307],"clock_positions":[207,427,647,867,1087,1307],"native_values":[68,233,283,18,283,233],"rotation_degrees":56.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":68},{"alpha_index":427,"clock_position":427,"value":233},{"alpha_index":647,"clock_position":647,"value":283},{"alpha_index":867,"clock_position":867,"value":18},{"alpha_index":1087,"clock_position":1087,"value":283},{"alpha_index":1307,"clock_position":1307,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,428,648,868,1088,1308],"clock_positions":[208,428,648,868,1088,1308],"native_values":[101,71,316,71,101,286],"rotation_degrees":56.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":101},{"alpha_index":428,"clock_position":428,"value":71},{"alpha_index":648,"clock_position":648,"value":316},{"alpha_index":868,"clock_position":868,"value":71},{"alpha_index":1088,"clock_position":1088,"value":101},{"alpha_index":1308,"clock_position":1308,"value":286}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-209","alpha_indices":[209,429,649,869,1089,1309],"clock_positions":[209,429,649,869,1089,1309],"native_values":[169,304,169,89,384,89],"rotation_degrees":57.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":209,"clock_position":209,"value":169},{"alpha_index":429,"clock_position":429,"value":304},{"alpha_index":649,"clock_position":649,"value":169},{"alpha_index":869,"clock_position":869,"value":89},{"alpha_index":1089,"clock_position":1089,"value":384},{"alpha_index":1309,"clock_position":1309,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-210","alpha_indices":[210,430,650,870,1090,1310],"clock_positions":[210,430,650,870,1090,1310],"native_values":[270,375,55,160,55,375],"rotation_degrees":57.27272727272727,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":210,"clock_position":210,"value":270},{"alpha_index":430,"clock_position":430,"value":375},{"alpha_index":650,"clock_position":650,"value":55},{"alpha_index":870,"clock_position":870,"value":160},{"alpha_index":1090,"clock_position":1090,"value":55},{"alpha_index":1310,"clock_position":1310,"value":375}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-211","alpha_indices":[211,431,651,871,1091,1311],"clock_positions":[211,431,651,871,1091,1311],"native_values":[9,249,224,249,9,34],"rotation_degrees":57.54545454545455,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":431,"clock_position":431,"value":249},{"alpha_index":651,"clock_position":651,"value":224},{"alpha_index":871,"clock_position":871,"value":249},{"alpha_index":1311,"clock_position":1311,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-212","alpha_indices":[212,432,652,872,1092,1312],"clock_positions":[212,432,652,872,1092,1312],"native_values":[279,194,279,409,64,409],"rotation_degrees":57.81818181818182,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":212,"clock_position":212,"value":279},{"alpha_index":432,"clock_position":432,"value":194},{"alpha_index":652,"clock_position":652,"value":279},{"alpha_index":872,"clock_position":872,"value":409},{"alpha_index":1092,"clock_position":1092,"value":64},{"alpha_index":1312,"clock_position":1312,"value":409}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-213","alpha_indices":[213,433,653,873,1093,1313],"clock_positions":[213,433,653,873,1093,1313],"native_values":[288,13,73,228,73,13],"rotation_degrees":58.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":288},{"alpha_index":433,"clock_position":433,"value":13},{"alpha_index":653,"clock_position":653,"value":73},{"alpha_index":873,"clock_position":873,"value":228},{"alpha_index":1093,"clock_position":1093,"value":73},{"alpha_index":1313,"clock_position":1313,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-214","alpha_indices":[214,434,654,874,1094,1314],"clock_positions":[214,434,654,874,1094,1314],"native_values":[137,207,352,207,137,422],"rotation_degrees":58.36363636363637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":214,"clock_position":214,"value":137},{"alpha_index":434,"clock_position":434,"value":207},{"alpha_index":654,"clock_position":654,"value":352},{"alpha_index":874,"clock_position":874,"value":207},{"alpha_index":1094,"clock_position":1094,"value":137},{"alpha_index":1314,"clock_position":1314,"value":422}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-215","alpha_indices":[215,435,655,875,1095,1315],"clock_positions":[215,435,655,875,1095,1315],"native_values":[425,220,425,5,210,5],"rotation_degrees":58.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":215,"clock_position":215,"value":425},{"alpha_index":435,"clock_position":435,"value":220},{"alpha_index":655,"clock_position":655,"value":425},{"alpha_index":875,"clock_position":875,"value":5},{"alpha_index":1095,"clock_position":1095,"value":210},{"alpha_index":1315,"clock_position":1315,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-216","alpha_indices":[216,436,656,876,1096,1316],"clock_positions":[216,436,656,876,1096,1316],"native_values":[132,427,347,212,347,427],"rotation_degrees":58.90909090909091,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":216,"clock_position":216,"value":132},{"alpha_index":436,"clock_position":436,"value":427},{"alpha_index":656,"clock_position":656,"value":347},{"alpha_index":876,"clock_position":876,"value":212},{"alpha_index":1096,"clock_position":1096,"value":347},{"alpha_index":1316,"clock_position":1316,"value":427}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-217","alpha_indices":[217,437,657,877,1097,1317],"clock_positions":[217,437,657,877,1097,1317],"native_values":[127,217,342,217,127,2],"rotation_degrees":59.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":217,"clock_position":217,"value":127},{"alpha_index":437,"clock_position":437,"value":217},{"alpha_index":657,"clock_position":657,"value":342},{"alpha_index":877,"clock_position":877,"value":217},{"alpha_index":1097,"clock_position":1097,"value":127},{"alpha_index":1317,"clock_position":1317,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-218","alpha_indices":[218,438,658,878,1098,1318],"clock_positions":[218,438,658,878,1098,1318],"native_values":[259,214,259,429,44,429],"rotation_degrees":59.45454545454545,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":218,"clock_position":218,"value":259},{"alpha_index":438,"clock_position":438,"value":214},{"alpha_index":658,"clock_position":658,"value":259},{"alpha_index":878,"clock_position":878,"value":429},{"alpha_index":1098,"clock_position":1098,"value":44},{"alpha_index":1318,"clock_position":1318,"value":429}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-219","alpha_indices":[219,439,659,879,1099,1319],"clock_positions":[219,439,659,879,1099,1319],"native_values":[386,1,171,216,171,1],"rotation_degrees":59.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":219,"clock_position":219,"value":386},{"alpha_index":439,"clock_position":439,"value":1},{"alpha_index":659,"clock_position":659,"value":171},{"alpha_index":879,"clock_position":879,"value":216},{"alpha_index":1099,"clock_position":1099,"value":171},{"alpha_index":1319,"clock_position":1319,"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/m430/alpha.svg","png":"pilot-v1/views/m430/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m430/beta.svg","png":"pilot-v1/views/m430/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m430/gamma.svg","png":"pilot-v1/views/m430/gamma.png"},{"id":"fibonacci-m430p1320","name":"Fibonacci M430P1320","svg":"pilot-v1/views/m430/fibonacci-m430p1320.svg","png":"pilot-v1/views/m430/fibonacci-m430p1320.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}}
