{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m838-p1254","name":"Fibonacci M838P1254","modulus":838,"pisano_period":1254,"conventions":{"index_origin":0,"clock_labels":[1254,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253],"orientation":"clockwise from north","zero_display":838,"alpha_circle_positions":1254,"beta_circle_positions":838,"node_rule":"Native residues divisible by 3, including zero; preserves the approved M6/M9/M12 reference selection. Additional regular formations of all native values are catalogued separately.","m1_convention":"Modulo 1 has period 1 and residue 0."},"alpha":{"residues":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,149,759,70,829,61,52,113,165,278,443,721,326,209,535,744,441,347,788,297,247,544,791,497,450,109,559,668,389,219,608,827,597,586,345,93,438,531,131,662,793,617,572,351,85,436,521,119,640,759,561,482,205,687,54,741,795,698,655,515,332,9,341,350,691,203,56,259,315,574,51,625,676,463,301,764,227,153,380,533,75,608,683,453,298,751,211,124,335,459,794,415,371,786,319,267,586,15,601,616,379,157,536,693,391,246,637,45,682,727,571,460,193,653,8,661,669,492,323,815,300,277,577,16,593,609,364,135,499,634,295,91,386,477,25,502,527,191,718,71,789,22,811,833,806,801,769,732,663,557,382,101,483,584,229,813,204,179,383,562,107,669,776,607,545,314,21,335,356,691,209,62,271,333,604,99,703,802,667,631,460,253,713,128,3,131,134,265,399,664,225,51,276,327,603,92,695,787,644,593,399,154,553,707,422,291,713,166,41,207,248,455,703,320,185,505,690,357,209,566,775,503,440,105,545,650,357,169,526,695,383,240,623,25,648,673,483,318,801,281,244,525,769,456,387,5,392,397,789,348,299,647,108,755,25,780,805,747,714,623,499,284,783,229,174,403,577,142,719,23,742,765,669,596,427,185,612,797,571,530,263,793,218,173,391,564,117,681,798,641,601,404,167,571,738,471,371,4,375,379,754,295,211,506,717,385,264,649,75,724,799,685,646,493,301,794,257,213,470,683,315,160,475,635,272,69,341,410,751,323,236,559,795,516,473,151,624,775,561,498,221,719,102,821,85,68,153,221,374,595,131,726,19,745,764,671,597,430,189,619,808,589,559,310,31,341,372,713,247,122,369,491,22,513,535,210,745,117,24,141,165,306,471,777,410,349,759,270,191,461,652,275,89,364,453,817,432,411,5,416,421,837,420,419,1,420,421,3,424,427,13,440,453,55,508,563,233,796,191,149,340,489,829,480,471,113,584,697,443,302,745,209,116,325,441,766,369,297,666,125,791,78,31,109,140,249,389,638,189,827,178,167,345,512,19,531,550,243,793,198,153,351,504,17,521,538,221,759,142,63,205,268,473,741,376,279,655,96,751,9,760,769,691,622,475,259,734,155,51,206,257,463,720,345,227,572,799,533,494,189,683,34,717,751,630,543,335,40,375,415,790,367,319,686,167,15,182,197,379,576,117,693,810,665,637,464,263,727,152,41,193,234,427,661,250,73,323,396,719,277,158,435,593,190,783,135,80,215,295,510,805,477,444,83,527,610,299,71,370,441,811,414,387,801,350,313,663,138,801,101,64,165,229,394,623,179,802,143,107,250,357,607,126,733,21,754,775,691,628,481,271,752,185,99,284,383,667,212,41,253,294,547,3,550,553,265,818,245,225,470,695,327,184,511,695,368,225,593,818,573,553,288,3,291,294,585,41,626,667,455,284,739,185,86,271,357,628,147,775,84,21,105,126,231,357,588,107,695,802,659,623,444,229,673,64,737,801,700,663,525,350,37,387,424,811,397,370,767,299,228,527,755,444,361,805,328,295,623,80,703,783,648,593,403,158,561,719,442,323,765,250,177,427,604,193,797,152,111,263,374,637,173,810,145,117,262,379,641,182,823,167,152,319,471,790,423,375,798,335,295,630,87,717,804,683,649,494,305,799,266,227,493,720,375,257,632,51,683,734,579,475,216,691,69,760,829,751,742,655,559,376,97,473,570,205,775,142,79,221,300,521,821,504,487,153,640,793,595,550,307,19,326,345,671,178,11,189,200,389,589,140,729,31,760,791,713,666,541,369,72,441,513,116,629,745,536,443,141,584,725,471,358,829,349,340,689,191,42,233,275,508,783,453,398,13,411,424,835,421,418,1,419,420,1,421,422,5,427,432,21,453,474,89,563,652,377,191,568,759,489,410,61,471,532,165,697,24,721,745,628,535,325,22,347,369,716,247,125,372,497,31,528,559,249,808,219,189,408,597,167,764,93,19,112,131,243,374,617,153,770,85,17,102,119,221,340,561,63,624,687,473,322,795,279,236,515,751,428,341,769,272,203,475,678,315,155,470,625,257,44,301,345,646,153,799,114,75,189,264,453,717,332,211,543,754,459,375,834,371,367,738,267,167,434,601,197,798,157,117,274,391,665,218,45,263,308,571,41,612,653,427,242,669,73,742,815,719,696,577,435,174,609,783,554,499,215,714,91,805,58,25,83,108,191,299,490,789,441,392,833,387,382,769,313,244,557,801,520,483,165,648,813,623,598,383,143,526,669,357,188,545,733,440,335,775,272,209,481,690,333,185,518,703,383,248,631,41,672,713,547,422,131,553,684,399,245,644,51,695,746,603,511,276,787,225,174,399,573,134,707,3,710,713,585,460,207,667,36,703,739,604,505,271,776,209,147,356,503,21,524,545,231,776,169,107,276,383,659,204,25,229,254,483,737,382,281,663,106,769,37,806,5,811,816,789,767,718,647,527,336,25,361,386,747,295,204,499,703,364,229,593,822,577,561,300,23,323,346,669,177,8,185,193,378,571,111,682,793,637,592,391,145,536,681,379,222,601,823,586,571,319,52,371,423,794,379,335,714,211,87,298,385,683,230,75,305,380,685,227,74,301,375,676,213,51,264,315,579,56,635,691,488,341,829,332,323,655,140,795,97,54,151,205,356,561,79,640,719,521,402,85,487,572,221,793,176,131,307,438,745,345,252,597,11,608,619,389,170,559,729,450,341,791,294,247,541,788,491,441,94,535,629,326,117,443,560,165,725,52,777,829,768,759,689,610,461,233,694,89,783,34,817,13,830,5,835,2,837,1],"display_values":[838,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,149,759,70,829,61,52,113,165,278,443,721,326,209,535,744,441,347,788,297,247,544,791,497,450,109,559,668,389,219,608,827,597,586,345,93,438,531,131,662,793,617,572,351,85,436,521,119,640,759,561,482,205,687,54,741,795,698,655,515,332,9,341,350,691,203,56,259,315,574,51,625,676,463,301,764,227,153,380,533,75,608,683,453,298,751,211,124,335,459,794,415,371,786,319,267,586,15,601,616,379,157,536,693,391,246,637,45,682,727,571,460,193,653,8,661,669,492,323,815,300,277,577,16,593,609,364,135,499,634,295,91,386,477,25,502,527,191,718,71,789,22,811,833,806,801,769,732,663,557,382,101,483,584,229,813,204,179,383,562,107,669,776,607,545,314,21,335,356,691,209,62,271,333,604,99,703,802,667,631,460,253,713,128,3,131,134,265,399,664,225,51,276,327,603,92,695,787,644,593,399,154,553,707,422,291,713,166,41,207,248,455,703,320,185,505,690,357,209,566,775,503,440,105,545,650,357,169,526,695,383,240,623,25,648,673,483,318,801,281,244,525,769,456,387,5,392,397,789,348,299,647,108,755,25,780,805,747,714,623,499,284,783,229,174,403,577,142,719,23,742,765,669,596,427,185,612,797,571,530,263,793,218,173,391,564,117,681,798,641,601,404,167,571,738,471,371,4,375,379,754,295,211,506,717,385,264,649,75,724,799,685,646,493,301,794,257,213,470,683,315,160,475,635,272,69,341,410,751,323,236,559,795,516,473,151,624,775,561,498,221,719,102,821,85,68,153,221,374,595,131,726,19,745,764,671,597,430,189,619,808,589,559,310,31,341,372,713,247,122,369,491,22,513,535,210,745,117,24,141,165,306,471,777,410,349,759,270,191,461,652,275,89,364,453,817,432,411,5,416,421,837,420,419,1,420,421,3,424,427,13,440,453,55,508,563,233,796,191,149,340,489,829,480,471,113,584,697,443,302,745,209,116,325,441,766,369,297,666,125,791,78,31,109,140,249,389,638,189,827,178,167,345,512,19,531,550,243,793,198,153,351,504,17,521,538,221,759,142,63,205,268,473,741,376,279,655,96,751,9,760,769,691,622,475,259,734,155,51,206,257,463,720,345,227,572,799,533,494,189,683,34,717,751,630,543,335,40,375,415,790,367,319,686,167,15,182,197,379,576,117,693,810,665,637,464,263,727,152,41,193,234,427,661,250,73,323,396,719,277,158,435,593,190,783,135,80,215,295,510,805,477,444,83,527,610,299,71,370,441,811,414,387,801,350,313,663,138,801,101,64,165,229,394,623,179,802,143,107,250,357,607,126,733,21,754,775,691,628,481,271,752,185,99,284,383,667,212,41,253,294,547,3,550,553,265,818,245,225,470,695,327,184,511,695,368,225,593,818,573,553,288,3,291,294,585,41,626,667,455,284,739,185,86,271,357,628,147,775,84,21,105,126,231,357,588,107,695,802,659,623,444,229,673,64,737,801,700,663,525,350,37,387,424,811,397,370,767,299,228,527,755,444,361,805,328,295,623,80,703,783,648,593,403,158,561,719,442,323,765,250,177,427,604,193,797,152,111,263,374,637,173,810,145,117,262,379,641,182,823,167,152,319,471,790,423,375,798,335,295,630,87,717,804,683,649,494,305,799,266,227,493,720,375,257,632,51,683,734,579,475,216,691,69,760,829,751,742,655,559,376,97,473,570,205,775,142,79,221,300,521,821,504,487,153,640,793,595,550,307,19,326,345,671,178,11,189,200,389,589,140,729,31,760,791,713,666,541,369,72,441,513,116,629,745,536,443,141,584,725,471,358,829,349,340,689,191,42,233,275,508,783,453,398,13,411,424,835,421,418,1,419,420,1,421,422,5,427,432,21,453,474,89,563,652,377,191,568,759,489,410,61,471,532,165,697,24,721,745,628,535,325,22,347,369,716,247,125,372,497,31,528,559,249,808,219,189,408,597,167,764,93,19,112,131,243,374,617,153,770,85,17,102,119,221,340,561,63,624,687,473,322,795,279,236,515,751,428,341,769,272,203,475,678,315,155,470,625,257,44,301,345,646,153,799,114,75,189,264,453,717,332,211,543,754,459,375,834,371,367,738,267,167,434,601,197,798,157,117,274,391,665,218,45,263,308,571,41,612,653,427,242,669,73,742,815,719,696,577,435,174,609,783,554,499,215,714,91,805,58,25,83,108,191,299,490,789,441,392,833,387,382,769,313,244,557,801,520,483,165,648,813,623,598,383,143,526,669,357,188,545,733,440,335,775,272,209,481,690,333,185,518,703,383,248,631,41,672,713,547,422,131,553,684,399,245,644,51,695,746,603,511,276,787,225,174,399,573,134,707,3,710,713,585,460,207,667,36,703,739,604,505,271,776,209,147,356,503,21,524,545,231,776,169,107,276,383,659,204,25,229,254,483,737,382,281,663,106,769,37,806,5,811,816,789,767,718,647,527,336,25,361,386,747,295,204,499,703,364,229,593,822,577,561,300,23,323,346,669,177,8,185,193,378,571,111,682,793,637,592,391,145,536,681,379,222,601,823,586,571,319,52,371,423,794,379,335,714,211,87,298,385,683,230,75,305,380,685,227,74,301,375,676,213,51,264,315,579,56,635,691,488,341,829,332,323,655,140,795,97,54,151,205,356,561,79,640,719,521,402,85,487,572,221,793,176,131,307,438,745,345,252,597,11,608,619,389,170,559,729,450,341,791,294,247,541,788,491,441,94,535,629,326,117,443,560,165,725,52,777,829,768,759,689,610,461,233,694,89,783,34,817,13,830,5,835,2,837,1]},"gamma":{"alpha_indices":[0,4,8,12,17,23,30,31,34,39,44,47,49,50,51,52,58,64,65,68,69,70,71,76,83,85,92,95,98,104,108,110,112,118,120,122,131,132,135,140,142,148,155,160,162,163,167,170,171,176,181,188,190,199,203,205,206,207,208,209,215,220,224,231,232,238,241,246,249,251,252,253,256,258,259,263,264,267,270,272,273,277,279,286,287,291,300,301,302,303,309,310,313,319,321,323,332,335,340,347,348,351,353,354,357,361,366,371,373,381,385,388,390,392,393,394,395,396,397,398,401,402,409,411,412,416,417,420,422,427,436,438,439,449,451,452,453,456,460,463,467,470,472,474,475,476,477,482,484,488,490,492,494,503,507,508,514,517,519,520,523,530,534,535,536,537,546,552,556,559,560,564,566,567,574,576,577,578,581,582,583,586,595,597,599,608,615,617,623,626,631,634,636,637,638,639,640,650,652,654,655,656,657,658,659,660,666,671,673,674,677,684,687,695,696,700,704,706,712,717,719,728,730,731,732,735,736,737,738,747,748,751,754,756,758,768,774,777,779,787,791,796,801,803,804,805,806,812,815,822,826,827,830,837,843,844,845,846,853,854,857,859,861,869,873,876,878,880,881,882,883,886,890,893,897,901,902,903,904,907,908,918,919,926,928,930,931,932,933,934,935,938,940,941,942,945,946,951,953,958,963,967,972,974,975,976,977,981,987,991,992,995,1001,1003,1004,1005,1006,1012,1013,1023,1024,1032,1038,1039,1042,1045,1047,1049,1050,1051,1052,1055,1058,1060,1062,1070,1073,1076,1080,1083,1087,1091,1098,1099,1104,1108,1110,1116,1118,1119,1123,1124,1128,1130,1138,1140,1148,1152,1154,1159,1166,1168,1169,1170,1171,1172,1183,1185,1189,1194,1203,1205,1206,1207,1214,1215,1218,1223,1228,1231,1234,1236,1237,1244,1252],"clock_positions":[1254,4,8,12,17,23,30,31,34,39,44,47,49,50,51,52,58,64,65,68,69,70,71,76,83,85,92,95,98,104,108,110,112,118,120,122,131,132,135,140,142,148,155,160,162,163,167,170,171,176,181,188,190,199,203,205,206,207,208,209,215,220,224,231,232,238,241,246,249,251,252,253,256,258,259,263,264,267,270,272,273,277,279,286,287,291,300,301,302,303,309,310,313,319,321,323,332,335,340,347,348,351,353,354,357,361,366,371,373,381,385,388,390,392,393,394,395,396,397,398,401,402,409,411,412,416,417,420,422,427,436,438,439,449,451,452,453,456,460,463,467,470,472,474,475,476,477,482,484,488,490,492,494,503,507,508,514,517,519,520,523,530,534,535,536,537,546,552,556,559,560,564,566,567,574,576,577,578,581,582,583,586,595,597,599,608,615,617,623,626,631,634,636,637,638,639,640,650,652,654,655,656,657,658,659,660,666,671,673,674,677,684,687,695,696,700,704,706,712,717,719,728,730,731,732,735,736,737,738,747,748,751,754,756,758,768,774,777,779,787,791,796,801,803,804,805,806,812,815,822,826,827,830,837,843,844,845,846,853,854,857,859,861,869,873,876,878,880,881,882,883,886,890,893,897,901,902,903,904,907,908,918,919,926,928,930,931,932,933,934,935,938,940,941,942,945,946,951,953,958,963,967,972,974,975,976,977,981,987,991,992,995,1001,1003,1004,1005,1006,1012,1013,1023,1024,1032,1038,1039,1042,1045,1047,1049,1050,1051,1052,1055,1058,1060,1062,1070,1073,1076,1080,1083,1087,1091,1098,1099,1104,1108,1110,1116,1118,1119,1123,1124,1128,1130,1138,1140,1148,1152,1154,1159,1166,1168,1169,1170,1171,1172,1183,1185,1189,1194,1203,1205,1206,1207,1214,1215,1218,1223,1228,1231,1234,1236,1237,1244,1252],"clockwise_values":[838,3,21,144,759,165,744,441,297,450,219,597,345,93,438,531,351,759,561,687,54,741,795,9,315,51,153,75,453,459,786,267,15,693,246,45,669,492,300,609,135,477,789,801,732,663,483,813,204,669,21,333,99,3,399,225,51,276,327,603,399,291,207,690,357,105,357,240,648,483,318,801,525,456,387,789,348,108,780,747,714,783,174,765,669,612,564,117,681,798,738,471,375,717,264,75,213,315,69,795,516,624,561,498,102,153,726,597,189,372,369,513,210,117,24,141,165,306,471,777,759,270,453,432,411,837,420,420,3,453,489,480,471,441,369,297,666,78,249,189,345,531,243,198,153,351,504,759,63,741,279,96,9,51,720,345,189,717,630,543,375,15,576,117,693,810,234,396,435,783,135,510,477,444,441,414,387,801,663,138,801,165,357,126,21,99,294,3,225,327,225,573,288,3,291,294,585,357,147,84,21,105,126,231,357,588,444,801,663,525,387,228,444,783,648,561,765,177,111,810,117,471,423,375,798,630,87,717,804,720,375,51,579,216,69,570,300,504,153,345,189,729,666,369,72,441,513,141,471,42,783,453,411,420,432,21,453,474,759,489,471,165,24,369,372,528,249,219,189,408,597,93,243,153,102,561,63,624,687,795,279,678,315,345,153,114,75,189,264,453,717,543,459,375,834,738,267,798,117,45,612,669,696,435,174,609,783,714,108,789,441,387,801,483,165,648,813,669,357,690,333,672,684,399,51,603,276,225,174,399,573,3,585,207,36,147,21,231,276,204,483,663,816,789,336,747,204,822,561,300,669,177,378,111,681,222,423,714,87,75,375,213,51,264,315,579,795,54,561,402,438,345,252,597,729,450,294,441,117,165,777,768,759,783,837],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,1369,1125,2512,0,1135,2079,1725,1435,586,0,0,0,2775,1801,0,687,0,0,0,2200,1900,574,3056,913,1291,1719,1580,319,586,2289,391,637,3955,0,1138,1463,364,1905,2034,2472,769,0,1040,813,0,1231,2242,1924,604,4357,530,664,0,0,0,0,2811,1836,920,2416,0,2493,1195,1773,648,673,0,0,525,769,0,794,0,946,780,805,0,1406,229,2606,0,1208,3736,0,0,0,2384,0,375,2145,385,649,4699,1153,1542,2620,0,624,775,0,940,974,1321,2199,430,3257,1082,513,535,745,0,0,0,0,0,0,759,0,2032,817,0,842,0,420,421,1304,2835,829,0,3534,766,0,0,916,280,1027,1172,531,550,793,0,0,0,1297,142,946,376,655,751,4465,926,0,2625,717,751,0,375,2744,758,0,0,0,3142,1734,1154,783,0,590,805,0,1960,811,0,0,663,0,0,165,2727,607,733,4537,1840,547,2431,1165,1758,1411,553,0,0,0,0,3354,628,775,0,0,0,0,0,0,2886,1703,700,0,387,3068,1282,3195,0,1154,1484,250,2173,1447,145,2925,790,0,0,630,0,0,0,3916,0,889,1417,475,691,5242,1422,1342,487,3230,860,1318,2295,541,0,0,0,2469,1309,2756,1016,0,411,2518,1276,0,0,0,2440,0,471,532,697,3323,1088,528,559,808,0,0,0,931,262,991,872,680,0,0,0,795,0,3990,0,1852,646,799,0,0,0,0,0,543,754,0,0,738,0,1399,157,1548,1183,1322,2349,577,0,0,0,1268,1062,980,0,1225,2265,520,0,0,0,2273,0,3978,0,2709,2366,0,889,1441,511,787,0,0,0,841,1423,460,667,3807,859,1069,1052,1042,508,1400,2534,0,2659,772,295,2388,577,0,692,0,386,571,3776,379,3323,1508,211,1596,1972,676,0,0,0,0,4490,97,712,1959,2772,745,0,0,2356,0,1132,2067,1584,1003,777,829,0,2776,2536,1],"interval_residues":[4,26,178,531,287,836,0,297,403,49,597,586,0,0,0,261,125,0,687,0,0,0,524,224,574,542,75,453,43,742,319,586,613,391,637,603,0,300,625,364,229,358,796,769,0,202,813,0,393,566,248,604,167,530,664,0,0,0,0,297,160,82,740,0,817,357,97,648,673,0,0,525,769,0,794,0,108,780,805,0,568,229,92,0,370,384,0,0,0,708,0,375,469,385,649,509,315,704,106,0,624,775,0,102,136,483,523,430,743,244,513,535,745,0,0,0,0,0,0,759,0,356,817,0,4,0,420,421,466,321,829,0,182,766,0,0,78,280,189,334,531,550,793,0,0,0,459,142,108,376,655,751,275,88,0,111,717,751,0,375,230,758,0,0,0,628,58,316,783,0,590,805,0,284,811,0,0,663,0,0,165,213,607,733,347,164,547,755,327,82,573,553,0,0,0,0,2,628,775,0,0,0,0,0,0,372,27,700,0,387,554,444,681,0,316,646,250,497,609,145,411,790,0,0,630,0,0,0,564,0,51,579,475,691,214,584,504,487,716,22,480,619,541,0,0,0,793,471,242,178,0,411,4,438,0,0,0,764,0,471,532,697,809,250,528,559,808,0,0,0,93,262,153,34,680,0,0,0,795,0,638,0,176,646,799,0,0,0,0,0,543,754,0,0,738,0,561,157,710,345,484,673,577,0,0,0,430,224,142,0,387,589,520,0,0,0,597,0,626,0,195,690,0,51,603,511,787,0,0,0,3,585,460,667,455,21,231,214,204,508,562,20,0,145,772,295,712,577,0,692,0,386,571,424,379,809,670,211,758,296,676,0,0,0,0,300,97,712,283,258,745,0,0,680,0,294,391,746,165,777,829,0,262,22,1],"display_cycle":[4,26,178,531,287,836,838,297,403,49,597,586,838,838,838,261,125,838,687,838,838,838,524,224,574,542,75,453,43,742,319,586,613,391,637,603,838,300,625,364,229,358,796,769,838,202,813,838,393,566,248,604,167,530,664,838,838,838,838,297,160,82,740,838,817,357,97,648,673,838,838,525,769,838,794,838,108,780,805,838,568,229,92,838,370,384,838,838,838,708,838,375,469,385,649,509,315,704,106,838,624,775,838,102,136,483,523,430,743,244,513,535,745,838,838,838,838,838,838,759,838,356,817,838,4,838,420,421,466,321,829,838,182,766,838,838,78,280,189,334,531,550,793,838,838,838,459,142,108,376,655,751,275,88,838,111,717,751,838,375,230,758,838,838,838,628,58,316,783,838,590,805,838,284,811,838,838,663,838,838,165,213,607,733,347,164,547,755,327,82,573,553,838,838,838,838,2,628,775,838,838,838,838,838,838,372,27,700,838,387,554,444,681,838,316,646,250,497,609,145,411,790,838,838,630,838,838,838,564,838,51,579,475,691,214,584,504,487,716,22,480,619,541,838,838,838,793,471,242,178,838,411,4,438,838,838,838,764,838,471,532,697,809,250,528,559,808,838,838,838,93,262,153,34,680,838,838,838,795,838,638,838,176,646,799,838,838,838,838,838,543,754,838,838,738,838,561,157,710,345,484,673,577,838,838,838,430,224,142,838,387,589,520,838,838,838,597,838,626,838,195,690,838,51,603,511,787,838,838,838,3,585,460,667,455,21,231,214,204,508,562,20,838,145,772,295,712,577,838,692,838,386,571,424,379,809,670,211,758,296,676,838,838,838,838,300,97,712,283,258,745,838,838,680,838,294,391,746,165,777,829,838,262,22,1],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":17,"interior_indices":[13,14,15,16],"interior_values":[233,377,610,149],"sum":1369,"residue":531},{"from_index":17,"to_index":23,"interior_indices":[18,19,20,21,22],"interior_values":[70,829,61,52,113],"sum":1125,"residue":287},{"from_index":23,"to_index":30,"interior_indices":[24,25,26,27,28,29],"interior_values":[278,443,721,326,209,535],"sum":2512,"residue":836},{"from_index":30,"to_index":31,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":31,"to_index":34,"interior_indices":[32,33],"interior_values":[347,788],"sum":1135,"residue":297},{"from_index":34,"to_index":39,"interior_indices":[35,36,37,38],"interior_values":[247,544,791,497],"sum":2079,"residue":403},{"from_index":39,"to_index":44,"interior_indices":[40,41,42,43],"interior_values":[109,559,668,389],"sum":1725,"residue":49},{"from_index":44,"to_index":47,"interior_indices":[45,46],"interior_values":[608,827],"sum":1435,"residue":597},{"from_index":47,"to_index":49,"interior_indices":[48],"interior_values":[586],"sum":586,"residue":586},{"from_index":49,"to_index":50,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":50,"to_index":51,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":51,"to_index":52,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":52,"to_index":58,"interior_indices":[53,54,55,56,57],"interior_values":[131,662,793,617,572],"sum":2775,"residue":261},{"from_index":58,"to_index":64,"interior_indices":[59,60,61,62,63],"interior_values":[85,436,521,119,640],"sum":1801,"residue":125},{"from_index":64,"to_index":65,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":65,"to_index":68,"interior_indices":[66,67],"interior_values":[482,205],"sum":687,"residue":687},{"from_index":68,"to_index":69,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":69,"to_index":70,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":70,"to_index":71,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":71,"to_index":76,"interior_indices":[72,73,74,75],"interior_values":[698,655,515,332],"sum":2200,"residue":524},{"from_index":76,"to_index":83,"interior_indices":[77,78,79,80,81,82],"interior_values":[341,350,691,203,56,259],"sum":1900,"residue":224},{"from_index":83,"to_index":85,"interior_indices":[84],"interior_values":[574],"sum":574,"residue":574},{"from_index":85,"to_index":92,"interior_indices":[86,87,88,89,90,91],"interior_values":[625,676,463,301,764,227],"sum":3056,"residue":542},{"from_index":92,"to_index":95,"interior_indices":[93,94],"interior_values":[380,533],"sum":913,"residue":75},{"from_index":95,"to_index":98,"interior_indices":[96,97],"interior_values":[608,683],"sum":1291,"residue":453},{"from_index":98,"to_index":104,"interior_indices":[99,100,101,102,103],"interior_values":[298,751,211,124,335],"sum":1719,"residue":43},{"from_index":104,"to_index":108,"interior_indices":[105,106,107],"interior_values":[794,415,371],"sum":1580,"residue":742},{"from_index":108,"to_index":110,"interior_indices":[109],"interior_values":[319],"sum":319,"residue":319},{"from_index":110,"to_index":112,"interior_indices":[111],"interior_values":[586],"sum":586,"residue":586},{"from_index":112,"to_index":118,"interior_indices":[113,114,115,116,117],"interior_values":[601,616,379,157,536],"sum":2289,"residue":613},{"from_index":118,"to_index":120,"interior_indices":[119],"interior_values":[391],"sum":391,"residue":391},{"from_index":120,"to_index":122,"interior_indices":[121],"interior_values":[637],"sum":637,"residue":637},{"from_index":122,"to_index":131,"interior_indices":[123,124,125,126,127,128,129,130],"interior_values":[682,727,571,460,193,653,8,661],"sum":3955,"residue":603},{"from_index":131,"to_index":132,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":132,"to_index":135,"interior_indices":[133,134],"interior_values":[323,815],"sum":1138,"residue":300},{"from_index":135,"to_index":140,"interior_indices":[136,137,138,139],"interior_values":[277,577,16,593],"sum":1463,"residue":625},{"from_index":140,"to_index":142,"interior_indices":[141],"interior_values":[364],"sum":364,"residue":364},{"from_index":142,"to_index":148,"interior_indices":[143,144,145,146,147],"interior_values":[499,634,295,91,386],"sum":1905,"residue":229},{"from_index":148,"to_index":155,"interior_indices":[149,150,151,152,153,154],"interior_values":[25,502,527,191,718,71],"sum":2034,"residue":358},{"from_index":155,"to_index":160,"interior_indices":[156,157,158,159],"interior_values":[22,811,833,806],"sum":2472,"residue":796},{"from_index":160,"to_index":162,"interior_indices":[161],"interior_values":[769],"sum":769,"residue":769},{"from_index":162,"to_index":163,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":163,"to_index":167,"interior_indices":[164,165,166],"interior_values":[557,382,101],"sum":1040,"residue":202},{"from_index":167,"to_index":170,"interior_indices":[168,169],"interior_values":[584,229],"sum":813,"residue":813},{"from_index":170,"to_index":171,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":171,"to_index":176,"interior_indices":[172,173,174,175],"interior_values":[179,383,562,107],"sum":1231,"residue":393},{"from_index":176,"to_index":181,"interior_indices":[177,178,179,180],"interior_values":[776,607,545,314],"sum":2242,"residue":566},{"from_index":181,"to_index":188,"interior_indices":[182,183,184,185,186,187],"interior_values":[335,356,691,209,62,271],"sum":1924,"residue":248},{"from_index":188,"to_index":190,"interior_indices":[189],"interior_values":[604],"sum":604,"residue":604},{"from_index":190,"to_index":199,"interior_indices":[191,192,193,194,195,196,197,198],"interior_values":[703,802,667,631,460,253,713,128],"sum":4357,"residue":167},{"from_index":199,"to_index":203,"interior_indices":[200,201,202],"interior_values":[131,134,265],"sum":530,"residue":530},{"from_index":203,"to_index":205,"interior_indices":[204],"interior_values":[664],"sum":664,"residue":664},{"from_index":205,"to_index":206,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":206,"to_index":207,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":207,"to_index":208,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":208,"to_index":209,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":209,"to_index":215,"interior_indices":[210,211,212,213,214],"interior_values":[92,695,787,644,593],"sum":2811,"residue":297},{"from_index":215,"to_index":220,"interior_indices":[216,217,218,219],"interior_values":[154,553,707,422],"sum":1836,"residue":160},{"from_index":220,"to_index":224,"interior_indices":[221,222,223],"interior_values":[713,166,41],"sum":920,"residue":82},{"from_index":224,"to_index":231,"interior_indices":[225,226,227,228,229,230],"interior_values":[248,455,703,320,185,505],"sum":2416,"residue":740},{"from_index":231,"to_index":232,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":232,"to_index":238,"interior_indices":[233,234,235,236,237],"interior_values":[209,566,775,503,440],"sum":2493,"residue":817},{"from_index":238,"to_index":241,"interior_indices":[239,240],"interior_values":[545,650],"sum":1195,"residue":357},{"from_index":241,"to_index":246,"interior_indices":[242,243,244,245],"interior_values":[169,526,695,383],"sum":1773,"residue":97},{"from_index":246,"to_index":249,"interior_indices":[247,248],"interior_values":[623,25],"sum":648,"residue":648},{"from_index":249,"to_index":251,"interior_indices":[250],"interior_values":[673],"sum":673,"residue":673},{"from_index":251,"to_index":252,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":252,"to_index":253,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":253,"to_index":256,"interior_indices":[254,255],"interior_values":[281,244],"sum":525,"residue":525},{"from_index":256,"to_index":258,"interior_indices":[257],"interior_values":[769],"sum":769,"residue":769},{"from_index":258,"to_index":259,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":259,"to_index":263,"interior_indices":[260,261,262],"interior_values":[5,392,397],"sum":794,"residue":794},{"from_index":263,"to_index":264,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":264,"to_index":267,"interior_indices":[265,266],"interior_values":[299,647],"sum":946,"residue":108},{"from_index":267,"to_index":270,"interior_indices":[268,269],"interior_values":[755,25],"sum":780,"residue":780},{"from_index":270,"to_index":272,"interior_indices":[271],"interior_values":[805],"sum":805,"residue":805},{"from_index":272,"to_index":273,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":273,"to_index":277,"interior_indices":[274,275,276],"interior_values":[623,499,284],"sum":1406,"residue":568},{"from_index":277,"to_index":279,"interior_indices":[278],"interior_values":[229],"sum":229,"residue":229},{"from_index":279,"to_index":286,"interior_indices":[280,281,282,283,284,285],"interior_values":[403,577,142,719,23,742],"sum":2606,"residue":92},{"from_index":286,"to_index":287,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":287,"to_index":291,"interior_indices":[288,289,290],"interior_values":[596,427,185],"sum":1208,"residue":370},{"from_index":291,"to_index":300,"interior_indices":[292,293,294,295,296,297,298,299],"interior_values":[797,571,530,263,793,218,173,391],"sum":3736,"residue":384},{"from_index":300,"to_index":301,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":301,"to_index":302,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":302,"to_index":303,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":303,"to_index":309,"interior_indices":[304,305,306,307,308],"interior_values":[641,601,404,167,571],"sum":2384,"residue":708},{"from_index":309,"to_index":310,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":310,"to_index":313,"interior_indices":[311,312],"interior_values":[371,4],"sum":375,"residue":375},{"from_index":313,"to_index":319,"interior_indices":[314,315,316,317,318],"interior_values":[379,754,295,211,506],"sum":2145,"residue":469},{"from_index":319,"to_index":321,"interior_indices":[320],"interior_values":[385],"sum":385,"residue":385},{"from_index":321,"to_index":323,"interior_indices":[322],"interior_values":[649],"sum":649,"residue":649},{"from_index":323,"to_index":332,"interior_indices":[324,325,326,327,328,329,330,331],"interior_values":[724,799,685,646,493,301,794,257],"sum":4699,"residue":509},{"from_index":332,"to_index":335,"interior_indices":[333,334],"interior_values":[470,683],"sum":1153,"residue":315},{"from_index":335,"to_index":340,"interior_indices":[336,337,338,339],"interior_values":[160,475,635,272],"sum":1542,"residue":704},{"from_index":340,"to_index":347,"interior_indices":[341,342,343,344,345,346],"interior_values":[341,410,751,323,236,559],"sum":2620,"residue":106},{"from_index":347,"to_index":348,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":348,"to_index":351,"interior_indices":[349,350],"interior_values":[473,151],"sum":624,"residue":624},{"from_index":351,"to_index":353,"interior_indices":[352],"interior_values":[775],"sum":775,"residue":775},{"from_index":353,"to_index":354,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":354,"to_index":357,"interior_indices":[355,356],"interior_values":[221,719],"sum":940,"residue":102},{"from_index":357,"to_index":361,"interior_indices":[358,359,360],"interior_values":[821,85,68],"sum":974,"residue":136},{"from_index":361,"to_index":366,"interior_indices":[362,363,364,365],"interior_values":[221,374,595,131],"sum":1321,"residue":483},{"from_index":366,"to_index":371,"interior_indices":[367,368,369,370],"interior_values":[19,745,764,671],"sum":2199,"residue":523},{"from_index":371,"to_index":373,"interior_indices":[372],"interior_values":[430],"sum":430,"residue":430},{"from_index":373,"to_index":381,"interior_indices":[374,375,376,377,378,379,380],"interior_values":[619,808,589,559,310,31,341],"sum":3257,"residue":743},{"from_index":381,"to_index":385,"interior_indices":[382,383,384],"interior_values":[713,247,122],"sum":1082,"residue":244},{"from_index":385,"to_index":388,"interior_indices":[386,387],"interior_values":[491,22],"sum":513,"residue":513},{"from_index":388,"to_index":390,"interior_indices":[389],"interior_values":[535],"sum":535,"residue":535},{"from_index":390,"to_index":392,"interior_indices":[391],"interior_values":[745],"sum":745,"residue":745},{"from_index":392,"to_index":393,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":393,"to_index":394,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":394,"to_index":395,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":395,"to_index":396,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":396,"to_index":397,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":397,"to_index":398,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":398,"to_index":401,"interior_indices":[399,400],"interior_values":[410,349],"sum":759,"residue":759},{"from_index":401,"to_index":402,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":402,"to_index":409,"interior_indices":[403,404,405,406,407,408],"interior_values":[191,461,652,275,89,364],"sum":2032,"residue":356},{"from_index":409,"to_index":411,"interior_indices":[410],"interior_values":[817],"sum":817,"residue":817},{"from_index":411,"to_index":412,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":412,"to_index":416,"interior_indices":[413,414,415],"interior_values":[5,416,421],"sum":842,"residue":4},{"from_index":416,"to_index":417,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":417,"to_index":420,"interior_indices":[418,419],"interior_values":[419,1],"sum":420,"residue":420},{"from_index":420,"to_index":422,"interior_indices":[421],"interior_values":[421],"sum":421,"residue":421},{"from_index":422,"to_index":427,"interior_indices":[423,424,425,426],"interior_values":[424,427,13,440],"sum":1304,"residue":466},{"from_index":427,"to_index":436,"interior_indices":[428,429,430,431,432,433,434,435],"interior_values":[55,508,563,233,796,191,149,340],"sum":2835,"residue":321},{"from_index":436,"to_index":438,"interior_indices":[437],"interior_values":[829],"sum":829,"residue":829},{"from_index":438,"to_index":439,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":439,"to_index":449,"interior_indices":[440,441,442,443,444,445,446,447,448],"interior_values":[113,584,697,443,302,745,209,116,325],"sum":3534,"residue":182},{"from_index":449,"to_index":451,"interior_indices":[450],"interior_values":[766],"sum":766,"residue":766},{"from_index":451,"to_index":452,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":452,"to_index":453,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":453,"to_index":456,"interior_indices":[454,455],"interior_values":[125,791],"sum":916,"residue":78},{"from_index":456,"to_index":460,"interior_indices":[457,458,459],"interior_values":[31,109,140],"sum":280,"residue":280},{"from_index":460,"to_index":463,"interior_indices":[461,462],"interior_values":[389,638],"sum":1027,"residue":189},{"from_index":463,"to_index":467,"interior_indices":[464,465,466],"interior_values":[827,178,167],"sum":1172,"residue":334},{"from_index":467,"to_index":470,"interior_indices":[468,469],"interior_values":[512,19],"sum":531,"residue":531},{"from_index":470,"to_index":472,"interior_indices":[471],"interior_values":[550],"sum":550,"residue":550},{"from_index":472,"to_index":474,"interior_indices":[473],"interior_values":[793],"sum":793,"residue":793},{"from_index":474,"to_index":475,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":475,"to_index":476,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":476,"to_index":477,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":477,"to_index":482,"interior_indices":[478,479,480,481],"interior_values":[17,521,538,221],"sum":1297,"residue":459},{"from_index":482,"to_index":484,"interior_indices":[483],"interior_values":[142],"sum":142,"residue":142},{"from_index":484,"to_index":488,"interior_indices":[485,486,487],"interior_values":[205,268,473],"sum":946,"residue":108},{"from_index":488,"to_index":490,"interior_indices":[489],"interior_values":[376],"sum":376,"residue":376},{"from_index":490,"to_index":492,"interior_indices":[491],"interior_values":[655],"sum":655,"residue":655},{"from_index":492,"to_index":494,"interior_indices":[493],"interior_values":[751],"sum":751,"residue":751},{"from_index":494,"to_index":503,"interior_indices":[495,496,497,498,499,500,501,502],"interior_values":[760,769,691,622,475,259,734,155],"sum":4465,"residue":275},{"from_index":503,"to_index":507,"interior_indices":[504,505,506],"interior_values":[206,257,463],"sum":926,"residue":88},{"from_index":507,"to_index":508,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":508,"to_index":514,"interior_indices":[509,510,511,512,513],"interior_values":[227,572,799,533,494],"sum":2625,"residue":111},{"from_index":514,"to_index":517,"interior_indices":[515,516],"interior_values":[683,34],"sum":717,"residue":717},{"from_index":517,"to_index":519,"interior_indices":[518],"interior_values":[751],"sum":751,"residue":751},{"from_index":519,"to_index":520,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":520,"to_index":523,"interior_indices":[521,522],"interior_values":[335,40],"sum":375,"residue":375},{"from_index":523,"to_index":530,"interior_indices":[524,525,526,527,528,529],"interior_values":[415,790,367,319,686,167],"sum":2744,"residue":230},{"from_index":530,"to_index":534,"interior_indices":[531,532,533],"interior_values":[182,197,379],"sum":758,"residue":758},{"from_index":534,"to_index":535,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":535,"to_index":536,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":536,"to_index":537,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":537,"to_index":546,"interior_indices":[538,539,540,541,542,543,544,545],"interior_values":[665,637,464,263,727,152,41,193],"sum":3142,"residue":628},{"from_index":546,"to_index":552,"interior_indices":[547,548,549,550,551],"interior_values":[427,661,250,73,323],"sum":1734,"residue":58},{"from_index":552,"to_index":556,"interior_indices":[553,554,555],"interior_values":[719,277,158],"sum":1154,"residue":316},{"from_index":556,"to_index":559,"interior_indices":[557,558],"interior_values":[593,190],"sum":783,"residue":783},{"from_index":559,"to_index":560,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":560,"to_index":564,"interior_indices":[561,562,563],"interior_values":[80,215,295],"sum":590,"residue":590},{"from_index":564,"to_index":566,"interior_indices":[565],"interior_values":[805],"sum":805,"residue":805},{"from_index":566,"to_index":567,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":567,"to_index":574,"interior_indices":[568,569,570,571,572,573],"interior_values":[83,527,610,299,71,370],"sum":1960,"residue":284},{"from_index":574,"to_index":576,"interior_indices":[575],"interior_values":[811],"sum":811,"residue":811},{"from_index":576,"to_index":577,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":577,"to_index":578,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":578,"to_index":581,"interior_indices":[579,580],"interior_values":[350,313],"sum":663,"residue":663},{"from_index":581,"to_index":582,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":582,"to_index":583,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":583,"to_index":586,"interior_indices":[584,585],"interior_values":[101,64],"sum":165,"residue":165},{"from_index":586,"to_index":595,"interior_indices":[587,588,589,590,591,592,593,594],"interior_values":[229,394,623,179,802,143,107,250],"sum":2727,"residue":213},{"from_index":595,"to_index":597,"interior_indices":[596],"interior_values":[607],"sum":607,"residue":607},{"from_index":597,"to_index":599,"interior_indices":[598],"interior_values":[733],"sum":733,"residue":733},{"from_index":599,"to_index":608,"interior_indices":[600,601,602,603,604,605,606,607],"interior_values":[754,775,691,628,481,271,752,185],"sum":4537,"residue":347},{"from_index":608,"to_index":615,"interior_indices":[609,610,611,612,613,614],"interior_values":[284,383,667,212,41,253],"sum":1840,"residue":164},{"from_index":615,"to_index":617,"interior_indices":[616],"interior_values":[547],"sum":547,"residue":547},{"from_index":617,"to_index":623,"interior_indices":[618,619,620,621,622],"interior_values":[550,553,265,818,245],"sum":2431,"residue":755},{"from_index":623,"to_index":626,"interior_indices":[624,625],"interior_values":[470,695],"sum":1165,"residue":327},{"from_index":626,"to_index":631,"interior_indices":[627,628,629,630],"interior_values":[184,511,695,368],"sum":1758,"residue":82},{"from_index":631,"to_index":634,"interior_indices":[632,633],"interior_values":[593,818],"sum":1411,"residue":573},{"from_index":634,"to_index":636,"interior_indices":[635],"interior_values":[553],"sum":553,"residue":553},{"from_index":636,"to_index":637,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":637,"to_index":638,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":638,"to_index":639,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":639,"to_index":640,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":640,"to_index":650,"interior_indices":[641,642,643,644,645,646,647,648,649],"interior_values":[41,626,667,455,284,739,185,86,271],"sum":3354,"residue":2},{"from_index":650,"to_index":652,"interior_indices":[651],"interior_values":[628],"sum":628,"residue":628},{"from_index":652,"to_index":654,"interior_indices":[653],"interior_values":[775],"sum":775,"residue":775},{"from_index":654,"to_index":655,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":655,"to_index":656,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":656,"to_index":657,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":657,"to_index":658,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":658,"to_index":659,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":659,"to_index":660,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":660,"to_index":666,"interior_indices":[661,662,663,664,665],"interior_values":[107,695,802,659,623],"sum":2886,"residue":372},{"from_index":666,"to_index":671,"interior_indices":[667,668,669,670],"interior_values":[229,673,64,737],"sum":1703,"residue":27},{"from_index":671,"to_index":673,"interior_indices":[672],"interior_values":[700],"sum":700,"residue":700},{"from_index":673,"to_index":674,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":674,"to_index":677,"interior_indices":[675,676],"interior_values":[350,37],"sum":387,"residue":387},{"from_index":677,"to_index":684,"interior_indices":[678,679,680,681,682,683],"interior_values":[424,811,397,370,767,299],"sum":3068,"residue":554},{"from_index":684,"to_index":687,"interior_indices":[685,686],"interior_values":[527,755],"sum":1282,"residue":444},{"from_index":687,"to_index":695,"interior_indices":[688,689,690,691,692,693,694],"interior_values":[361,805,328,295,623,80,703],"sum":3195,"residue":681},{"from_index":695,"to_index":696,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":696,"to_index":700,"interior_indices":[697,698,699],"interior_values":[593,403,158],"sum":1154,"residue":316},{"from_index":700,"to_index":704,"interior_indices":[701,702,703],"interior_values":[719,442,323],"sum":1484,"residue":646},{"from_index":704,"to_index":706,"interior_indices":[705],"interior_values":[250],"sum":250,"residue":250},{"from_index":706,"to_index":712,"interior_indices":[707,708,709,710,711],"interior_values":[427,604,193,797,152],"sum":2173,"residue":497},{"from_index":712,"to_index":717,"interior_indices":[713,714,715,716],"interior_values":[263,374,637,173],"sum":1447,"residue":609},{"from_index":717,"to_index":719,"interior_indices":[718],"interior_values":[145],"sum":145,"residue":145},{"from_index":719,"to_index":728,"interior_indices":[720,721,722,723,724,725,726,727],"interior_values":[262,379,641,182,823,167,152,319],"sum":2925,"residue":411},{"from_index":728,"to_index":730,"interior_indices":[729],"interior_values":[790],"sum":790,"residue":790},{"from_index":730,"to_index":731,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":731,"to_index":732,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":732,"to_index":735,"interior_indices":[733,734],"interior_values":[335,295],"sum":630,"residue":630},{"from_index":735,"to_index":736,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":736,"to_index":737,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":737,"to_index":738,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":738,"to_index":747,"interior_indices":[739,740,741,742,743,744,745,746],"interior_values":[683,649,494,305,799,266,227,493],"sum":3916,"residue":564},{"from_index":747,"to_index":748,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":748,"to_index":751,"interior_indices":[749,750],"interior_values":[257,632],"sum":889,"residue":51},{"from_index":751,"to_index":754,"interior_indices":[752,753],"interior_values":[683,734],"sum":1417,"residue":579},{"from_index":754,"to_index":756,"interior_indices":[755],"interior_values":[475],"sum":475,"residue":475},{"from_index":756,"to_index":758,"interior_indices":[757],"interior_values":[691],"sum":691,"residue":691},{"from_index":758,"to_index":768,"interior_indices":[759,760,761,762,763,764,765,766,767],"interior_values":[760,829,751,742,655,559,376,97,473],"sum":5242,"residue":214},{"from_index":768,"to_index":774,"interior_indices":[769,770,771,772,773],"interior_values":[205,775,142,79,221],"sum":1422,"residue":584},{"from_index":774,"to_index":777,"interior_indices":[775,776],"interior_values":[521,821],"sum":1342,"residue":504},{"from_index":777,"to_index":779,"interior_indices":[778],"interior_values":[487],"sum":487,"residue":487},{"from_index":779,"to_index":787,"interior_indices":[780,781,782,783,784,785,786],"interior_values":[640,793,595,550,307,19,326],"sum":3230,"residue":716},{"from_index":787,"to_index":791,"interior_indices":[788,789,790],"interior_values":[671,178,11],"sum":860,"residue":22},{"from_index":791,"to_index":796,"interior_indices":[792,793,794,795],"interior_values":[200,389,589,140],"sum":1318,"residue":480},{"from_index":796,"to_index":801,"interior_indices":[797,798,799,800],"interior_values":[31,760,791,713],"sum":2295,"residue":619},{"from_index":801,"to_index":803,"interior_indices":[802],"interior_values":[541],"sum":541,"residue":541},{"from_index":803,"to_index":804,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":804,"to_index":805,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":805,"to_index":806,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":806,"to_index":812,"interior_indices":[807,808,809,810,811],"interior_values":[116,629,745,536,443],"sum":2469,"residue":793},{"from_index":812,"to_index":815,"interior_indices":[813,814],"interior_values":[584,725],"sum":1309,"residue":471},{"from_index":815,"to_index":822,"interior_indices":[816,817,818,819,820,821],"interior_values":[358,829,349,340,689,191],"sum":2756,"residue":242},{"from_index":822,"to_index":826,"interior_indices":[823,824,825],"interior_values":[233,275,508],"sum":1016,"residue":178},{"from_index":826,"to_index":827,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":827,"to_index":830,"interior_indices":[828,829],"interior_values":[398,13],"sum":411,"residue":411},{"from_index":830,"to_index":837,"interior_indices":[831,832,833,834,835,836],"interior_values":[424,835,421,418,1,419],"sum":2518,"residue":4},{"from_index":837,"to_index":843,"interior_indices":[838,839,840,841,842],"interior_values":[1,421,422,5,427],"sum":1276,"residue":438},{"from_index":843,"to_index":844,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":844,"to_index":845,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":845,"to_index":846,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":846,"to_index":853,"interior_indices":[847,848,849,850,851,852],"interior_values":[89,563,652,377,191,568],"sum":2440,"residue":764},{"from_index":853,"to_index":854,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":854,"to_index":857,"interior_indices":[855,856],"interior_values":[410,61],"sum":471,"residue":471},{"from_index":857,"to_index":859,"interior_indices":[858],"interior_values":[532],"sum":532,"residue":532},{"from_index":859,"to_index":861,"interior_indices":[860],"interior_values":[697],"sum":697,"residue":697},{"from_index":861,"to_index":869,"interior_indices":[862,863,864,865,866,867,868],"interior_values":[721,745,628,535,325,22,347],"sum":3323,"residue":809},{"from_index":869,"to_index":873,"interior_indices":[870,871,872],"interior_values":[716,247,125],"sum":1088,"residue":250},{"from_index":873,"to_index":876,"interior_indices":[874,875],"interior_values":[497,31],"sum":528,"residue":528},{"from_index":876,"to_index":878,"interior_indices":[877],"interior_values":[559],"sum":559,"residue":559},{"from_index":878,"to_index":880,"interior_indices":[879],"interior_values":[808],"sum":808,"residue":808},{"from_index":880,"to_index":881,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":881,"to_index":882,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":882,"to_index":883,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":883,"to_index":886,"interior_indices":[884,885],"interior_values":[167,764],"sum":931,"residue":93},{"from_index":886,"to_index":890,"interior_indices":[887,888,889],"interior_values":[19,112,131],"sum":262,"residue":262},{"from_index":890,"to_index":893,"interior_indices":[891,892],"interior_values":[374,617],"sum":991,"residue":153},{"from_index":893,"to_index":897,"interior_indices":[894,895,896],"interior_values":[770,85,17],"sum":872,"residue":34},{"from_index":897,"to_index":901,"interior_indices":[898,899,900],"interior_values":[119,221,340],"sum":680,"residue":680},{"from_index":901,"to_index":902,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":902,"to_index":903,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":903,"to_index":904,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":904,"to_index":907,"interior_indices":[905,906],"interior_values":[473,322],"sum":795,"residue":795},{"from_index":907,"to_index":908,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":908,"to_index":918,"interior_indices":[909,910,911,912,913,914,915,916,917],"interior_values":[236,515,751,428,341,769,272,203,475],"sum":3990,"residue":638},{"from_index":918,"to_index":919,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":919,"to_index":926,"interior_indices":[920,921,922,923,924,925],"interior_values":[155,470,625,257,44,301],"sum":1852,"residue":176},{"from_index":926,"to_index":928,"interior_indices":[927],"interior_values":[646],"sum":646,"residue":646},{"from_index":928,"to_index":930,"interior_indices":[929],"interior_values":[799],"sum":799,"residue":799},{"from_index":930,"to_index":931,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":931,"to_index":932,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":932,"to_index":933,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":938,"interior_indices":[936,937],"interior_values":[332,211],"sum":543,"residue":543},{"from_index":938,"to_index":940,"interior_indices":[939],"interior_values":[754],"sum":754,"residue":754},{"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":945,"interior_indices":[943,944],"interior_values":[371,367],"sum":738,"residue":738},{"from_index":945,"to_index":946,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":946,"to_index":951,"interior_indices":[947,948,949,950],"interior_values":[167,434,601,197],"sum":1399,"residue":561},{"from_index":951,"to_index":953,"interior_indices":[952],"interior_values":[157],"sum":157,"residue":157},{"from_index":953,"to_index":958,"interior_indices":[954,955,956,957],"interior_values":[274,391,665,218],"sum":1548,"residue":710},{"from_index":958,"to_index":963,"interior_indices":[959,960,961,962],"interior_values":[263,308,571,41],"sum":1183,"residue":345},{"from_index":963,"to_index":967,"interior_indices":[964,965,966],"interior_values":[653,427,242],"sum":1322,"residue":484},{"from_index":967,"to_index":972,"interior_indices":[968,969,970,971],"interior_values":[73,742,815,719],"sum":2349,"residue":673},{"from_index":972,"to_index":974,"interior_indices":[973],"interior_values":[577],"sum":577,"residue":577},{"from_index":974,"to_index":975,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":975,"to_index":976,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":976,"to_index":977,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":977,"to_index":981,"interior_indices":[978,979,980],"interior_values":[554,499,215],"sum":1268,"residue":430},{"from_index":981,"to_index":987,"interior_indices":[982,983,984,985,986],"interior_values":[91,805,58,25,83],"sum":1062,"residue":224},{"from_index":987,"to_index":991,"interior_indices":[988,989,990],"interior_values":[191,299,490],"sum":980,"residue":142},{"from_index":991,"to_index":992,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":992,"to_index":995,"interior_indices":[993,994],"interior_values":[392,833],"sum":1225,"residue":387},{"from_index":995,"to_index":1001,"interior_indices":[996,997,998,999,1000],"interior_values":[382,769,313,244,557],"sum":2265,"residue":589},{"from_index":1001,"to_index":1003,"interior_indices":[1002],"interior_values":[520],"sum":520,"residue":520},{"from_index":1003,"to_index":1004,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1004,"to_index":1005,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1005,"to_index":1006,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1006,"to_index":1012,"interior_indices":[1007,1008,1009,1010,1011],"interior_values":[623,598,383,143,526],"sum":2273,"residue":597},{"from_index":1012,"to_index":1013,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1013,"to_index":1023,"interior_indices":[1014,1015,1016,1017,1018,1019,1020,1021,1022],"interior_values":[188,545,733,440,335,775,272,209,481],"sum":3978,"residue":626},{"from_index":1023,"to_index":1024,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1024,"to_index":1032,"interior_indices":[1025,1026,1027,1028,1029,1030,1031],"interior_values":[185,518,703,383,248,631,41],"sum":2709,"residue":195},{"from_index":1032,"to_index":1038,"interior_indices":[1033,1034,1035,1036,1037],"interior_values":[713,547,422,131,553],"sum":2366,"residue":690},{"from_index":1038,"to_index":1039,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1039,"to_index":1042,"interior_indices":[1040,1041],"interior_values":[245,644],"sum":889,"residue":51},{"from_index":1042,"to_index":1045,"interior_indices":[1043,1044],"interior_values":[695,746],"sum":1441,"residue":603},{"from_index":1045,"to_index":1047,"interior_indices":[1046],"interior_values":[511],"sum":511,"residue":511},{"from_index":1047,"to_index":1049,"interior_indices":[1048],"interior_values":[787],"sum":787,"residue":787},{"from_index":1049,"to_index":1050,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1050,"to_index":1051,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1051,"to_index":1052,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1052,"to_index":1055,"interior_indices":[1053,1054],"interior_values":[134,707],"sum":841,"residue":3},{"from_index":1055,"to_index":1058,"interior_indices":[1056,1057],"interior_values":[710,713],"sum":1423,"residue":585},{"from_index":1058,"to_index":1060,"interior_indices":[1059],"interior_values":[460],"sum":460,"residue":460},{"from_index":1060,"to_index":1062,"interior_indices":[1061],"interior_values":[667],"sum":667,"residue":667},{"from_index":1062,"to_index":1070,"interior_indices":[1063,1064,1065,1066,1067,1068,1069],"interior_values":[703,739,604,505,271,776,209],"sum":3807,"residue":455},{"from_index":1070,"to_index":1073,"interior_indices":[1071,1072],"interior_values":[356,503],"sum":859,"residue":21},{"from_index":1073,"to_index":1076,"interior_indices":[1074,1075],"interior_values":[524,545],"sum":1069,"residue":231},{"from_index":1076,"to_index":1080,"interior_indices":[1077,1078,1079],"interior_values":[776,169,107],"sum":1052,"residue":214},{"from_index":1080,"to_index":1083,"interior_indices":[1081,1082],"interior_values":[383,659],"sum":1042,"residue":204},{"from_index":1083,"to_index":1087,"interior_indices":[1084,1085,1086],"interior_values":[25,229,254],"sum":508,"residue":508},{"from_index":1087,"to_index":1091,"interior_indices":[1088,1089,1090],"interior_values":[737,382,281],"sum":1400,"residue":562},{"from_index":1091,"to_index":1098,"interior_indices":[1092,1093,1094,1095,1096,1097],"interior_values":[106,769,37,806,5,811],"sum":2534,"residue":20},{"from_index":1098,"to_index":1099,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1099,"to_index":1104,"interior_indices":[1100,1101,1102,1103],"interior_values":[767,718,647,527],"sum":2659,"residue":145},{"from_index":1104,"to_index":1108,"interior_indices":[1105,1106,1107],"interior_values":[25,361,386],"sum":772,"residue":772},{"from_index":1108,"to_index":1110,"interior_indices":[1109],"interior_values":[295],"sum":295,"residue":295},{"from_index":1110,"to_index":1116,"interior_indices":[1111,1112,1113,1114,1115],"interior_values":[499,703,364,229,593],"sum":2388,"residue":712},{"from_index":1116,"to_index":1118,"interior_indices":[1117],"interior_values":[577],"sum":577,"residue":577},{"from_index":1118,"to_index":1119,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1119,"to_index":1123,"interior_indices":[1120,1121,1122],"interior_values":[23,323,346],"sum":692,"residue":692},{"from_index":1123,"to_index":1124,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1124,"to_index":1128,"interior_indices":[1125,1126,1127],"interior_values":[8,185,193],"sum":386,"residue":386},{"from_index":1128,"to_index":1130,"interior_indices":[1129],"interior_values":[571],"sum":571,"residue":571},{"from_index":1130,"to_index":1138,"interior_indices":[1131,1132,1133,1134,1135,1136,1137],"interior_values":[682,793,637,592,391,145,536],"sum":3776,"residue":424},{"from_index":1138,"to_index":1140,"interior_indices":[1139],"interior_values":[379],"sum":379,"residue":379},{"from_index":1140,"to_index":1148,"interior_indices":[1141,1142,1143,1144,1145,1146,1147],"interior_values":[601,823,586,571,319,52,371],"sum":3323,"residue":809},{"from_index":1148,"to_index":1152,"interior_indices":[1149,1150,1151],"interior_values":[794,379,335],"sum":1508,"residue":670},{"from_index":1152,"to_index":1154,"interior_indices":[1153],"interior_values":[211],"sum":211,"residue":211},{"from_index":1154,"to_index":1159,"interior_indices":[1155,1156,1157,1158],"interior_values":[298,385,683,230],"sum":1596,"residue":758},{"from_index":1159,"to_index":1166,"interior_indices":[1160,1161,1162,1163,1164,1165],"interior_values":[305,380,685,227,74,301],"sum":1972,"residue":296},{"from_index":1166,"to_index":1168,"interior_indices":[1167],"interior_values":[676],"sum":676,"residue":676},{"from_index":1168,"to_index":1169,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1169,"to_index":1170,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1170,"to_index":1171,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1171,"to_index":1172,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1172,"to_index":1183,"interior_indices":[1173,1174,1175,1176,1177,1178,1179,1180,1181,1182],"interior_values":[56,635,691,488,341,829,332,323,655,140],"sum":4490,"residue":300},{"from_index":1183,"to_index":1185,"interior_indices":[1184],"interior_values":[97],"sum":97,"residue":97},{"from_index":1185,"to_index":1189,"interior_indices":[1186,1187,1188],"interior_values":[151,205,356],"sum":712,"residue":712},{"from_index":1189,"to_index":1194,"interior_indices":[1190,1191,1192,1193],"interior_values":[79,640,719,521],"sum":1959,"residue":283},{"from_index":1194,"to_index":1203,"interior_indices":[1195,1196,1197,1198,1199,1200,1201,1202],"interior_values":[85,487,572,221,793,176,131,307],"sum":2772,"residue":258},{"from_index":1203,"to_index":1205,"interior_indices":[1204],"interior_values":[745],"sum":745,"residue":745},{"from_index":1205,"to_index":1206,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1206,"to_index":1207,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1207,"to_index":1214,"interior_indices":[1208,1209,1210,1211,1212,1213],"interior_values":[11,608,619,389,170,559],"sum":2356,"residue":680},{"from_index":1214,"to_index":1215,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1215,"to_index":1218,"interior_indices":[1216,1217],"interior_values":[341,791],"sum":1132,"residue":294},{"from_index":1218,"to_index":1223,"interior_indices":[1219,1220,1221,1222],"interior_values":[247,541,788,491],"sum":2067,"residue":391},{"from_index":1223,"to_index":1228,"interior_indices":[1224,1225,1226,1227],"interior_values":[94,535,629,326],"sum":1584,"residue":746},{"from_index":1228,"to_index":1231,"interior_indices":[1229,1230],"interior_values":[443,560],"sum":1003,"residue":165},{"from_index":1231,"to_index":1234,"interior_indices":[1232,1233],"interior_values":[725,52],"sum":777,"residue":777},{"from_index":1234,"to_index":1236,"interior_indices":[1235],"interior_values":[829],"sum":829,"residue":829},{"from_index":1236,"to_index":1237,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1237,"to_index":1244,"interior_indices":[1238,1239,1240,1241,1242,1243],"interior_values":[689,610,461,233,694,89],"sum":2776,"residue":262},{"from_index":1244,"to_index":1252,"interior_indices":[1245,1246,1247,1248,1249,1250,1251],"interior_values":[34,817,13,830,5,835,2],"sum":2536,"residue":22},{"from_index":1252,"to_index":0,"interior_indices":[1253],"interior_values":[1],"sum":1,"residue":1}],"minimal_cycle":[4,26,178,531,287,836,0,297,403,49,597,586,0,0,0,261,125,0,687,0,0,0,524,224,574,542,75,453,43,742,319,586,613,391,637,603,0,300,625,364,229,358,796,769,0,202,813,0,393,566,248,604,167,530,664,0,0,0,0,297,160,82,740,0,817,357,97,648,673,0,0,525,769,0,794,0,108,780,805,0,568,229,92,0,370,384,0,0,0,708,0,375,469,385,649,509,315,704,106,0,624,775,0,102,136,483,523,430,743,244,513,535,745,0,0,0,0,0,0,759,0,356,817,0,4,0,420,421,466,321,829,0,182,766,0,0,78,280,189,334,531,550,793,0,0,0,459,142,108,376,655,751,275,88,0,111,717,751,0,375,230,758,0,0,0,628,58,316,783,0,590,805,0,284,811,0,0,663,0,0,165,213,607,733,347,164,547,755,327,82,573,553,0,0,0,0,2,628,775,0,0,0,0,0,0,372,27,700,0,387,554,444,681,0,316,646,250,497,609,145,411,790,0,0,630,0,0,0,564,0,51,579,475,691,214,584,504,487,716,22,480,619,541,0,0,0,793,471,242,178,0,411,4,438,0,0,0,764,0,471,532,697,809,250,528,559,808,0,0,0,93,262,153,34,680,0,0,0,795,0,638,0,176,646,799,0,0,0,0,0,543,754,0,0,738,0,561,157,710,345,484,673,577,0,0,0,430,224,142,0,387,589,520,0,0,0,597,0,626,0,195,690,0,51,603,511,787,0,0,0,3,585,460,667,455,21,231,214,204,508,562,20,0,145,772,295,712,577,0,692,0,386,571,424,379,809,670,211,758,296,676,0,0,0,0,300,97,712,283,258,745,0,0,680,0,294,391,746,165,777,829,0,262,22,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1254,4],"start_interval_values":[1,1,2],"circle_positions":838,"cycle_length":385,"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":[0,418,836],"clock_positions":[1254,418,836],"native_values":[838,419,419],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[838,419,419],"beta":{"interval_sums":[177656,174304,175142],"interval_residues":[0,0,0],"display_cycle":[838,838,838],"intervals":[{"from_index":0,"to_index":418,"sum":177656,"residue":0},{"from_index":418,"to_index":836,"sum":174304,"residue":0},{"from_index":836,"to_index":0,"sum":175142,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":838,"start_interval_clock_positions":[1254,418],"circle_positions":838,"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":[1,419,837],"clock_positions":[1,419,837],"native_values":[1,1,420],"rotation_degrees":0.28708133971291866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,420],"beta":{"interval_sums":[178074,174722,174722],"interval_residues":[418,418,418],"display_cycle":[418,418,418],"intervals":[{"from_index":1,"to_index":419,"sum":178074,"residue":418},{"from_index":419,"to_index":837,"sum":174722,"residue":418},{"from_index":837,"to_index":1,"sum":174722,"residue":418}],"minimal_cycle":[418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[1,419],"circle_positions":838,"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":[2,420,838],"clock_positions":[2,420,838],"native_values":[1,420,1],"rotation_degrees":0.5741626794258373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,420,1],"beta":{"interval_sums":[178074,174722,174722],"interval_residues":[418,418,418],"display_cycle":[418,418,418],"intervals":[{"from_index":2,"to_index":420,"sum":178074,"residue":418},{"from_index":420,"to_index":838,"sum":174722,"residue":418},{"from_index":838,"to_index":2,"sum":174722,"residue":418}],"minimal_cycle":[418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[2,420],"circle_positions":838,"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":[3,421,839],"clock_positions":[3,421,839],"native_values":[2,421,421],"rotation_degrees":0.861244019138756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,421,421],"beta":{"interval_sums":[178492,174302,174302],"interval_residues":[836,836,836],"display_cycle":[836,836,836],"intervals":[{"from_index":3,"to_index":421,"sum":178492,"residue":836},{"from_index":421,"to_index":839,"sum":174302,"residue":836},{"from_index":839,"to_index":3,"sum":174302,"residue":836}],"minimal_cycle":[836],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":836,"start_interval_clock_positions":[3,421],"circle_positions":838,"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":[4,422,840],"clock_positions":[4,422,840],"native_values":[3,3,422],"rotation_degrees":1.1483253588516746,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,422],"beta":{"interval_sums":[178910,174720,173882],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":4,"to_index":422,"sum":178910,"residue":416},{"from_index":422,"to_index":840,"sum":174720,"residue":416},{"from_index":840,"to_index":4,"sum":173882,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[4,422],"circle_positions":838,"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":[5,423,841],"clock_positions":[5,423,841],"native_values":[5,424,5],"rotation_degrees":1.4354066985645932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,424,5],"beta":{"interval_sums":[178908,174718,173880],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":5,"to_index":423,"sum":178908,"residue":414},{"from_index":423,"to_index":841,"sum":174718,"residue":414},{"from_index":841,"to_index":5,"sum":173880,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[5,423],"circle_positions":838,"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":[6,424,842],"clock_positions":[6,424,842],"native_values":[8,427,427],"rotation_degrees":1.722488038277512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,427,427],"beta":{"interval_sums":[179324,174296,173458],"interval_residues":[830,830,830],"display_cycle":[830,830,830],"intervals":[{"from_index":6,"to_index":424,"sum":179324,"residue":830},{"from_index":424,"to_index":842,"sum":174296,"residue":830},{"from_index":842,"to_index":6,"sum":173458,"residue":830}],"minimal_cycle":[830],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":830,"start_interval_clock_positions":[6,424],"circle_positions":838,"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":[7,425,843],"clock_positions":[7,425,843],"native_values":[13,13,432],"rotation_degrees":2.0095693779904304,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,13,432],"beta":{"interval_sums":[179738,174710,173034],"interval_residues":[406,406,406],"display_cycle":[406,406,406],"intervals":[{"from_index":7,"to_index":425,"sum":179738,"residue":406},{"from_index":425,"to_index":843,"sum":174710,"residue":406},{"from_index":843,"to_index":7,"sum":173034,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[7,425],"circle_positions":838,"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":[8,426,844],"clock_positions":[8,426,844],"native_values":[21,440,21],"rotation_degrees":2.2966507177033493,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,440,21],"beta":{"interval_sums":[179730,174702,173026],"interval_residues":[398,398,398],"display_cycle":[398,398,398],"intervals":[{"from_index":8,"to_index":426,"sum":179730,"residue":398},{"from_index":426,"to_index":844,"sum":174702,"residue":398},{"from_index":844,"to_index":8,"sum":173026,"residue":398}],"minimal_cycle":[398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[8,426],"circle_positions":838,"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":[9,427,845],"clock_positions":[9,427,845],"native_values":[34,453,453],"rotation_degrees":2.583732057416268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,453,453],"beta":{"interval_sums":[180136,174270,172594],"interval_residues":[804,804,804],"display_cycle":[804,804,804],"intervals":[{"from_index":9,"to_index":427,"sum":180136,"residue":804},{"from_index":427,"to_index":845,"sum":174270,"residue":804},{"from_index":845,"to_index":9,"sum":172594,"residue":804}],"minimal_cycle":[804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[9,427],"circle_positions":838,"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":[10,428,846],"clock_positions":[10,428,846],"native_values":[55,55,474],"rotation_degrees":2.8708133971291865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,474],"beta":{"interval_sums":[180534,174668,172154],"interval_residues":[364,364,364],"display_cycle":[364,364,364],"intervals":[{"from_index":10,"to_index":428,"sum":180534,"residue":364},{"from_index":428,"to_index":846,"sum":174668,"residue":364},{"from_index":846,"to_index":10,"sum":172154,"residue":364}],"minimal_cycle":[364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[10,428],"circle_positions":838,"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":[11,429,847],"clock_positions":[11,429,847],"native_values":[89,508,89],"rotation_degrees":3.1578947368421053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,508,89],"beta":{"interval_sums":[180500,174634,172120],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":11,"to_index":429,"sum":180500,"residue":330},{"from_index":429,"to_index":847,"sum":174634,"residue":330},{"from_index":847,"to_index":11,"sum":172120,"residue":330}],"minimal_cycle":[330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[11,429],"circle_positions":838,"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":[12,430,848],"clock_positions":[12,430,848],"native_values":[144,563,563],"rotation_degrees":3.444976076555024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,563,563],"beta":{"interval_sums":[180864,174160,171646],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":12,"to_index":430,"sum":180864,"residue":694},{"from_index":430,"to_index":848,"sum":174160,"residue":694},{"from_index":848,"to_index":12,"sum":171646,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[12,430],"circle_positions":838,"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":[13,431,849],"clock_positions":[13,431,849],"native_values":[233,233,652],"rotation_degrees":3.7320574162679425,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,652],"beta":{"interval_sums":[181194,174490,171138],"interval_residues":[186,186,186],"display_cycle":[186,186,186],"intervals":[{"from_index":13,"to_index":431,"sum":181194,"residue":186},{"from_index":431,"to_index":849,"sum":174490,"residue":186},{"from_index":849,"to_index":13,"sum":171138,"residue":186}],"minimal_cycle":[186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[13,431],"circle_positions":838,"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":[14,432,850],"clock_positions":[14,432,850],"native_values":[377,796,377],"rotation_degrees":4.019138755980861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,796,377],"beta":{"interval_sums":[181050,174346,170994],"interval_residues":[42,42,42],"display_cycle":[42,42,42],"intervals":[{"from_index":14,"to_index":432,"sum":181050,"residue":42},{"from_index":432,"to_index":850,"sum":174346,"residue":42},{"from_index":850,"to_index":14,"sum":170994,"residue":42}],"minimal_cycle":[42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[14,432],"circle_positions":838,"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":[15,433,851],"clock_positions":[15,433,851],"native_values":[610,191,191],"rotation_degrees":4.30622009569378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,191,191],"beta":{"interval_sums":[181236,174532,171180],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":15,"to_index":433,"sum":181236,"residue":228},{"from_index":433,"to_index":851,"sum":174532,"residue":228},{"from_index":851,"to_index":15,"sum":171180,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[15,433],"circle_positions":838,"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":[16,434,852],"clock_positions":[16,434,852],"native_values":[149,149,568],"rotation_degrees":4.5933014354066986,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,149,568],"beta":{"interval_sums":[181278,174574,171222],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":16,"to_index":434,"sum":181278,"residue":270},{"from_index":434,"to_index":852,"sum":174574,"residue":270},{"from_index":852,"to_index":16,"sum":171222,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[16,434],"circle_positions":838,"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":[17,435,853],"clock_positions":[17,435,853],"native_values":[759,340,759],"rotation_degrees":4.880382775119617,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,340,759],"beta":{"interval_sums":[180668,174802,170612],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":17,"to_index":435,"sum":180668,"residue":498},{"from_index":435,"to_index":853,"sum":174802,"residue":498},{"from_index":853,"to_index":17,"sum":170612,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[17,435],"circle_positions":838,"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":[18,436,854],"clock_positions":[18,436,854],"native_values":[70,489,489],"rotation_degrees":5.167464114832536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,489,489],"beta":{"interval_sums":[180938,175072,170882],"interval_residues":[768,768,768],"display_cycle":[768,768,768],"intervals":[{"from_index":18,"to_index":436,"sum":180938,"residue":768},{"from_index":436,"to_index":854,"sum":175072,"residue":768},{"from_index":854,"to_index":18,"sum":170882,"residue":768}],"minimal_cycle":[768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":768,"start_interval_clock_positions":[18,436],"circle_positions":838,"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":[19,437,855],"clock_positions":[19,437,855],"native_values":[829,829,410],"rotation_degrees":5.454545454545454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[829,829,410],"beta":{"interval_sums":[180598,174732,170542],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":19,"to_index":437,"sum":180598,"residue":428},{"from_index":437,"to_index":855,"sum":174732,"residue":428},{"from_index":855,"to_index":19,"sum":170542,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[19,437],"circle_positions":838,"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":[20,438,856],"clock_positions":[20,438,856],"native_values":[61,480,61],"rotation_degrees":5.741626794258373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,480,61],"beta":{"interval_sums":[181366,174662,171310],"interval_residues":[358,358,358],"display_cycle":[358,358,358],"intervals":[{"from_index":20,"to_index":438,"sum":181366,"residue":358},{"from_index":438,"to_index":856,"sum":174662,"residue":358},{"from_index":856,"to_index":20,"sum":171310,"residue":358}],"minimal_cycle":[358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[20,438],"circle_positions":838,"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":[21,439,857],"clock_positions":[21,439,857],"native_values":[52,471,471],"rotation_degrees":6.028708133971292,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,471,471],"beta":{"interval_sums":[181794,174252,170900],"interval_residues":[786,786,786],"display_cycle":[786,786,786],"intervals":[{"from_index":21,"to_index":439,"sum":181794,"residue":786},{"from_index":439,"to_index":857,"sum":174252,"residue":786},{"from_index":857,"to_index":21,"sum":170900,"residue":786}],"minimal_cycle":[786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[21,439],"circle_positions":838,"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":[22,440,858],"clock_positions":[22,440,858],"native_values":[113,113,532],"rotation_degrees":6.315789473684211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,113,532],"beta":{"interval_sums":[182152,174610,170420],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":22,"to_index":440,"sum":182152,"residue":306},{"from_index":440,"to_index":858,"sum":174610,"residue":306},{"from_index":858,"to_index":22,"sum":170420,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[22,440],"circle_positions":838,"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":[23,441,859],"clock_positions":[23,441,859],"native_values":[165,584,165],"rotation_degrees":6.6028708133971294,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,584,165],"beta":{"interval_sums":[182100,174558,170368],"interval_residues":[254,254,254],"display_cycle":[254,254,254],"intervals":[{"from_index":23,"to_index":441,"sum":182100,"residue":254},{"from_index":441,"to_index":859,"sum":174558,"residue":254},{"from_index":859,"to_index":23,"sum":170368,"residue":254}],"minimal_cycle":[254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[23,441],"circle_positions":838,"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":[24,442,860],"clock_positions":[24,442,860],"native_values":[278,697,697],"rotation_degrees":6.889952153110048,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,697,697],"beta":{"interval_sums":[182406,174026,169836],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":24,"to_index":442,"sum":182406,"residue":560},{"from_index":442,"to_index":860,"sum":174026,"residue":560},{"from_index":860,"to_index":24,"sum":169836,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[24,442],"circle_positions":838,"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":[25,443,861],"clock_positions":[25,443,861],"native_values":[443,443,24],"rotation_degrees":7.177033492822966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,443,24],"beta":{"interval_sums":[182660,174280,170090],"interval_residues":[814,814,814],"display_cycle":[814,814,814],"intervals":[{"from_index":25,"to_index":443,"sum":182660,"residue":814},{"from_index":443,"to_index":861,"sum":174280,"residue":814},{"from_index":861,"to_index":25,"sum":170090,"residue":814}],"minimal_cycle":[814],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[25,443],"circle_positions":838,"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":[26,444,862],"clock_positions":[26,444,862],"native_values":[721,302,721],"rotation_degrees":7.464114832535885,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,302,721],"beta":{"interval_sums":[182382,174002,169812],"interval_residues":[536,536,536],"display_cycle":[536,536,536],"intervals":[{"from_index":26,"to_index":444,"sum":182382,"residue":536},{"from_index":444,"to_index":862,"sum":174002,"residue":536},{"from_index":862,"to_index":26,"sum":169812,"residue":536}],"minimal_cycle":[536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[26,444],"circle_positions":838,"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":[27,445,863],"clock_positions":[27,445,863],"native_values":[326,745,745],"rotation_degrees":7.751196172248804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,745,745],"beta":{"interval_sums":[182358,173978,169788],"interval_residues":[512,512,512],"display_cycle":[512,512,512],"intervals":[{"from_index":27,"to_index":445,"sum":182358,"residue":512},{"from_index":445,"to_index":863,"sum":173978,"residue":512},{"from_index":863,"to_index":27,"sum":169788,"residue":512}],"minimal_cycle":[512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[27,445],"circle_positions":838,"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":[28,446,864],"clock_positions":[28,446,864],"native_values":[209,209,628],"rotation_degrees":8.038277511961722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,209,628],"beta":{"interval_sums":[182894,174514,169486],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":28,"to_index":446,"sum":182894,"residue":210},{"from_index":446,"to_index":864,"sum":174514,"residue":210},{"from_index":864,"to_index":28,"sum":169486,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[28,446],"circle_positions":838,"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":[29,447,865],"clock_positions":[29,447,865],"native_values":[535,116,535],"rotation_degrees":8.325358851674642,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,116,535],"beta":{"interval_sums":[182568,175026,169160],"interval_residues":[722,722,722],"display_cycle":[722,722,722],"intervals":[{"from_index":29,"to_index":447,"sum":182568,"residue":722},{"from_index":447,"to_index":865,"sum":175026,"residue":722},{"from_index":865,"to_index":29,"sum":169160,"residue":722}],"minimal_cycle":[722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[29,447],"circle_positions":838,"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":[30,448,866],"clock_positions":[30,448,866],"native_values":[744,325,325],"rotation_degrees":8.61244019138756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,325,325],"beta":{"interval_sums":[181940,175236,169370],"interval_residues":[94,94,94],"display_cycle":[94,94,94],"intervals":[{"from_index":30,"to_index":448,"sum":181940,"residue":94},{"from_index":448,"to_index":866,"sum":175236,"residue":94},{"from_index":866,"to_index":30,"sum":169370,"residue":94}],"minimal_cycle":[94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[30,448],"circle_positions":838,"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":[31,449,867],"clock_positions":[31,449,867],"native_values":[441,441,22],"rotation_degrees":8.89952153110048,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,441,22],"beta":{"interval_sums":[181824,175120,170092],"interval_residues":[816,816,816],"display_cycle":[816,816,816],"intervals":[{"from_index":31,"to_index":449,"sum":181824,"residue":816},{"from_index":449,"to_index":867,"sum":175120,"residue":816},{"from_index":867,"to_index":31,"sum":170092,"residue":816}],"minimal_cycle":[816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":816,"start_interval_clock_positions":[31,449],"circle_positions":838,"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":[32,450,868],"clock_positions":[32,450,868],"native_values":[347,766,347],"rotation_degrees":9.186602870813397,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,766,347],"beta":{"interval_sums":[181918,174376,170186],"interval_residues":[72,72,72],"display_cycle":[72,72,72],"intervals":[{"from_index":32,"to_index":450,"sum":181918,"residue":72},{"from_index":450,"to_index":868,"sum":174376,"residue":72},{"from_index":868,"to_index":32,"sum":170186,"residue":72}],"minimal_cycle":[72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[32,450],"circle_positions":838,"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":[33,451,869],"clock_positions":[33,451,869],"native_values":[788,369,369],"rotation_degrees":9.473684210526315,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[788,369,369],"beta":{"interval_sums":[181896,174354,170164],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":33,"to_index":451,"sum":181896,"residue":50},{"from_index":451,"to_index":869,"sum":174354,"residue":50},{"from_index":869,"to_index":33,"sum":170164,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[33,451],"circle_positions":838,"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":[34,452,870],"clock_positions":[34,452,870],"native_values":[297,297,716],"rotation_degrees":9.760765550239235,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,297,716],"beta":{"interval_sums":[181968,174426,170236],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":34,"to_index":452,"sum":181968,"residue":122},{"from_index":452,"to_index":870,"sum":174426,"residue":122},{"from_index":870,"to_index":34,"sum":170236,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[34,452],"circle_positions":838,"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":[35,453,871],"clock_positions":[35,453,871],"native_values":[247,666,247],"rotation_degrees":10.047846889952153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,666,247],"beta":{"interval_sums":[182018,174476,170286],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":35,"to_index":453,"sum":182018,"residue":172},{"from_index":453,"to_index":871,"sum":174476,"residue":172},{"from_index":871,"to_index":35,"sum":170286,"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":[35,453],"circle_positions":838,"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":[36,454,872],"clock_positions":[36,454,872],"native_values":[544,125,125],"rotation_degrees":10.334928229665072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,125,125],"beta":{"interval_sums":[182140,174598,170408],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":36,"to_index":454,"sum":182140,"residue":294},{"from_index":454,"to_index":872,"sum":174598,"residue":294},{"from_index":872,"to_index":36,"sum":170408,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[36,454],"circle_positions":838,"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":[37,455,873],"clock_positions":[37,455,873],"native_values":[791,791,372],"rotation_degrees":10.62200956937799,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[791,791,372],"beta":{"interval_sums":[181474,173932,170580],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":37,"to_index":455,"sum":181474,"residue":466},{"from_index":455,"to_index":873,"sum":173932,"residue":466},{"from_index":873,"to_index":37,"sum":170580,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[37,455],"circle_positions":838,"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":[38,456,874],"clock_positions":[38,456,874],"native_values":[497,78,497],"rotation_degrees":10.909090909090908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,78,497],"beta":{"interval_sums":[181768,174226,170874],"interval_residues":[760,760,760],"display_cycle":[760,760,760],"intervals":[{"from_index":38,"to_index":456,"sum":181768,"residue":760},{"from_index":456,"to_index":874,"sum":174226,"residue":760},{"from_index":874,"to_index":38,"sum":170874,"residue":760}],"minimal_cycle":[760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[38,456],"circle_positions":838,"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":[39,457,875],"clock_positions":[39,457,875],"native_values":[450,31,31],"rotation_degrees":11.196172248803828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,31,31],"beta":{"interval_sums":[181396,174692,171340],"interval_residues":[388,388,388],"display_cycle":[388,388,388],"intervals":[{"from_index":39,"to_index":457,"sum":181396,"residue":388},{"from_index":457,"to_index":875,"sum":174692,"residue":388},{"from_index":875,"to_index":39,"sum":171340,"residue":388}],"minimal_cycle":[388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[39,457],"circle_positions":838,"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":[40,458,876],"clock_positions":[40,458,876],"native_values":[109,109,528],"rotation_degrees":11.483253588516746,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,109,528],"beta":{"interval_sums":[181318,174614,171262],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":40,"to_index":458,"sum":181318,"residue":310},{"from_index":458,"to_index":876,"sum":174614,"residue":310},{"from_index":876,"to_index":40,"sum":171262,"residue":310}],"minimal_cycle":[310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[40,458],"circle_positions":838,"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":[41,459,877],"clock_positions":[41,459,877],"native_values":[559,140,559],"rotation_degrees":11.770334928229666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,140,559],"beta":{"interval_sums":[180868,175002,170812],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":41,"to_index":459,"sum":180868,"residue":698},{"from_index":459,"to_index":877,"sum":175002,"residue":698},{"from_index":877,"to_index":41,"sum":170812,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[41,459],"circle_positions":838,"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":[42,460,878],"clock_positions":[42,460,878],"native_values":[668,249,249],"rotation_degrees":12.057416267942584,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[668,249,249],"beta":{"interval_sums":[180340,175312,171122],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":42,"to_index":460,"sum":180340,"residue":170},{"from_index":460,"to_index":878,"sum":175312,"residue":170},{"from_index":878,"to_index":42,"sum":171122,"residue":170}],"minimal_cycle":[170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[42,460],"circle_positions":838,"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":[43,461,879],"clock_positions":[43,461,879],"native_values":[389,389,808],"rotation_degrees":12.344497607655502,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,389,808],"beta":{"interval_sums":[180200,175172,170982],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":43,"to_index":461,"sum":180200,"residue":30},{"from_index":461,"to_index":879,"sum":175172,"residue":30},{"from_index":879,"to_index":43,"sum":170982,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[43,461],"circle_positions":838,"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":[44,462,880],"clock_positions":[44,462,880],"native_values":[219,638,219],"rotation_degrees":12.631578947368421,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,638,219],"beta":{"interval_sums":[180370,175342,171152],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":44,"to_index":462,"sum":180370,"residue":200},{"from_index":462,"to_index":880,"sum":175342,"residue":200},{"from_index":880,"to_index":44,"sum":171152,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[44,462],"circle_positions":838,"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":[45,463,881],"clock_positions":[45,463,881],"native_values":[608,189,189],"rotation_degrees":12.91866028708134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[608,189,189],"beta":{"interval_sums":[180400,175372,171182],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":45,"to_index":463,"sum":180400,"residue":230},{"from_index":463,"to_index":881,"sum":175372,"residue":230},{"from_index":881,"to_index":45,"sum":171182,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[45,463],"circle_positions":838,"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":[46,464,882],"clock_positions":[46,464,882],"native_values":[827,827,408],"rotation_degrees":13.205741626794259,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[827,827,408],"beta":{"interval_sums":[179762,174734,171382],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":46,"to_index":464,"sum":179762,"residue":430},{"from_index":464,"to_index":882,"sum":174734,"residue":430},{"from_index":882,"to_index":46,"sum":171382,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[46,464],"circle_positions":838,"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":[47,465,883],"clock_positions":[47,465,883],"native_values":[597,178,597],"rotation_degrees":13.492822966507177,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,178,597],"beta":{"interval_sums":[179992,174964,171612],"interval_residues":[660,660,660],"display_cycle":[660,660,660],"intervals":[{"from_index":47,"to_index":465,"sum":179992,"residue":660},{"from_index":465,"to_index":883,"sum":174964,"residue":660},{"from_index":883,"to_index":47,"sum":171612,"residue":660}],"minimal_cycle":[660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[47,465],"circle_positions":838,"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":[48,466,884],"clock_positions":[48,466,884],"native_values":[586,167,167],"rotation_degrees":13.779904306220097,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,167,167],"beta":{"interval_sums":[179584,175394,172042],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":48,"to_index":466,"sum":179584,"residue":252},{"from_index":466,"to_index":884,"sum":175394,"residue":252},{"from_index":884,"to_index":48,"sum":172042,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[48,466],"circle_positions":838,"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":[49,467,885],"clock_positions":[49,467,885],"native_values":[345,345,764],"rotation_degrees":14.066985645933014,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,345,764],"beta":{"interval_sums":[179406,175216,171864],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":49,"to_index":467,"sum":179406,"residue":74},{"from_index":467,"to_index":885,"sum":175216,"residue":74},{"from_index":885,"to_index":49,"sum":171864,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[49,467],"circle_positions":838,"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":[50,468,886],"clock_positions":[50,468,886],"native_values":[93,512,93],"rotation_degrees":14.354066985645932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,512,93],"beta":{"interval_sums":[179658,175468,172116],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":50,"to_index":468,"sum":179658,"residue":326},{"from_index":468,"to_index":886,"sum":175468,"residue":326},{"from_index":886,"to_index":50,"sum":172116,"residue":326}],"minimal_cycle":[326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[50,468],"circle_positions":838,"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":[51,469,887],"clock_positions":[51,469,887],"native_values":[438,19,19],"rotation_degrees":14.641148325358852,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,19,19],"beta":{"interval_sums":[179732,175542,172190],"interval_residues":[400,400,400],"display_cycle":[400,400,400],"intervals":[{"from_index":51,"to_index":469,"sum":179732,"residue":400},{"from_index":469,"to_index":887,"sum":175542,"residue":400},{"from_index":887,"to_index":51,"sum":172190,"residue":400}],"minimal_cycle":[400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[51,469],"circle_positions":838,"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":[52,470,888],"clock_positions":[52,470,888],"native_values":[531,531,112],"rotation_degrees":14.92822966507177,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,531,112],"beta":{"interval_sums":[179220,175030,172516],"interval_residues":[726,726,726],"display_cycle":[726,726,726],"intervals":[{"from_index":52,"to_index":470,"sum":179220,"residue":726},{"from_index":470,"to_index":888,"sum":175030,"residue":726},{"from_index":888,"to_index":52,"sum":172516,"residue":726}],"minimal_cycle":[726],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[52,470],"circle_positions":838,"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":[53,471,889],"clock_positions":[53,471,889],"native_values":[131,550,131],"rotation_degrees":15.21531100478469,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,550,131],"beta":{"interval_sums":[179620,174592,172916],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":53,"to_index":471,"sum":179620,"residue":288},{"from_index":471,"to_index":889,"sum":174592,"residue":288},{"from_index":889,"to_index":53,"sum":172916,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[53,471],"circle_positions":838,"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":[54,472,890],"clock_positions":[54,472,890],"native_values":[662,243,243],"rotation_degrees":15.502392344497608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[662,243,243],"beta":{"interval_sums":[179508,174480,172804],"interval_residues":[176,176,176],"display_cycle":[176,176,176],"intervals":[{"from_index":54,"to_index":472,"sum":179508,"residue":176},{"from_index":472,"to_index":890,"sum":174480,"residue":176},{"from_index":890,"to_index":54,"sum":172804,"residue":176}],"minimal_cycle":[176],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[54,472],"circle_positions":838,"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":[55,473,891],"clock_positions":[55,473,891],"native_values":[793,793,374],"rotation_degrees":15.789473684210526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,793,374],"beta":{"interval_sums":[178958,173930,173092],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":55,"to_index":473,"sum":178958,"residue":464},{"from_index":473,"to_index":891,"sum":173930,"residue":464},{"from_index":891,"to_index":55,"sum":173092,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[55,473],"circle_positions":838,"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":[56,474,892],"clock_positions":[56,474,892],"native_values":[617,198,617],"rotation_degrees":16.076555023923444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,198,617],"beta":{"interval_sums":[179134,174106,173268],"interval_residues":[640,640,640],"display_cycle":[640,640,640],"intervals":[{"from_index":56,"to_index":474,"sum":179134,"residue":640},{"from_index":474,"to_index":892,"sum":174106,"residue":640},{"from_index":892,"to_index":56,"sum":173268,"residue":640}],"minimal_cycle":[640],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[56,474],"circle_positions":838,"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":[57,475,893],"clock_positions":[57,475,893],"native_values":[572,153,153],"rotation_degrees":16.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[572,153,153],"beta":{"interval_sums":[178760,174570,173732],"interval_residues":[266,266,266],"display_cycle":[266,266,266],"intervals":[{"from_index":57,"to_index":475,"sum":178760,"residue":266},{"from_index":475,"to_index":893,"sum":174570,"residue":266},{"from_index":893,"to_index":57,"sum":173732,"residue":266}],"minimal_cycle":[266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[57,475],"circle_positions":838,"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":[58,476,894],"clock_positions":[58,476,894],"native_values":[351,351,770],"rotation_degrees":16.650717703349283,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,351,770],"beta":{"interval_sums":[178562,174372,173534],"interval_residues":[68,68,68],"display_cycle":[68,68,68],"intervals":[{"from_index":58,"to_index":476,"sum":178562,"residue":68},{"from_index":476,"to_index":894,"sum":174372,"residue":68},{"from_index":894,"to_index":58,"sum":173534,"residue":68}],"minimal_cycle":[68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[58,476],"circle_positions":838,"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":[59,477,895],"clock_positions":[59,477,895],"native_values":[85,504,85],"rotation_degrees":16.9377990430622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,504,85],"beta":{"interval_sums":[178828,174638,173800],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":59,"to_index":477,"sum":178828,"residue":334},{"from_index":477,"to_index":895,"sum":174638,"residue":334},{"from_index":895,"to_index":59,"sum":173800,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[59,477],"circle_positions":838,"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":[60,478,896],"clock_positions":[60,478,896],"native_values":[436,17,17],"rotation_degrees":17.22488038277512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,17,17],"beta":{"interval_sums":[178896,174706,173868],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":60,"to_index":478,"sum":178896,"residue":402},{"from_index":478,"to_index":896,"sum":174706,"residue":402},{"from_index":896,"to_index":60,"sum":173868,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[60,478],"circle_positions":838,"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":[61,479,897],"clock_positions":[61,479,897],"native_values":[521,521,102],"rotation_degrees":17.51196172248804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,521,102],"beta":{"interval_sums":[178392,174202,174202],"interval_residues":[736,736,736],"display_cycle":[736,736,736],"intervals":[{"from_index":61,"to_index":479,"sum":178392,"residue":736},{"from_index":479,"to_index":897,"sum":174202,"residue":736},{"from_index":897,"to_index":61,"sum":174202,"residue":736}],"minimal_cycle":[736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[61,479],"circle_positions":838,"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":[62,480,898],"clock_positions":[62,480,898],"native_values":[119,538,119],"rotation_degrees":17.79904306220096,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,538,119],"beta":{"interval_sums":[178794,173766,174604],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":62,"to_index":480,"sum":178794,"residue":300},{"from_index":480,"to_index":898,"sum":173766,"residue":300},{"from_index":898,"to_index":62,"sum":174604,"residue":300}],"minimal_cycle":[300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[62,480],"circle_positions":838,"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":[63,481,899],"clock_positions":[63,481,899],"native_values":[640,221,221],"rotation_degrees":18.086124401913874,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,221,221],"beta":{"interval_sums":[178692,173664,174502],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":63,"to_index":481,"sum":178692,"residue":198},{"from_index":481,"to_index":899,"sum":173664,"residue":198},{"from_index":899,"to_index":63,"sum":174502,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[63,481],"circle_positions":838,"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":[64,482,900],"clock_positions":[64,482,900],"native_values":[759,759,340],"rotation_degrees":18.373205741626794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,759,340],"beta":{"interval_sums":[178154,173126,174802],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":64,"to_index":482,"sum":178154,"residue":498},{"from_index":482,"to_index":900,"sum":173126,"residue":498},{"from_index":900,"to_index":64,"sum":174802,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[64,482],"circle_positions":838,"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":[65,483,901],"clock_positions":[65,483,901],"native_values":[561,142,561],"rotation_degrees":18.660287081339714,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,142,561],"beta":{"interval_sums":[178352,173324,175000],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":65,"to_index":483,"sum":178352,"residue":696},{"from_index":483,"to_index":901,"sum":173324,"residue":696},{"from_index":901,"to_index":65,"sum":175000,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[65,483],"circle_positions":838,"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":[66,484,902],"clock_positions":[66,484,902],"native_values":[482,63,63],"rotation_degrees":18.94736842105263,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,63,63],"beta":{"interval_sums":[178012,173822,175498],"interval_residues":[356,356,356],"display_cycle":[356,356,356],"intervals":[{"from_index":66,"to_index":484,"sum":178012,"residue":356},{"from_index":484,"to_index":902,"sum":173822,"residue":356},{"from_index":902,"to_index":66,"sum":175498,"residue":356}],"minimal_cycle":[356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[66,484],"circle_positions":838,"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":[67,485,903],"clock_positions":[67,485,903],"native_values":[205,205,624],"rotation_degrees":19.23444976076555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,205,624],"beta":{"interval_sums":[177870,173680,175356],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":67,"to_index":485,"sum":177870,"residue":214},{"from_index":485,"to_index":903,"sum":173680,"residue":214},{"from_index":903,"to_index":67,"sum":175356,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[67,485],"circle_positions":838,"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":[68,486,904],"clock_positions":[68,486,904],"native_values":[687,268,687],"rotation_degrees":19.52153110047847,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[687,268,687],"beta":{"interval_sums":[177388,174036,174874],"interval_residues":[570,570,570],"display_cycle":[570,570,570],"intervals":[{"from_index":68,"to_index":486,"sum":177388,"residue":570},{"from_index":486,"to_index":904,"sum":174036,"residue":570},{"from_index":904,"to_index":68,"sum":174874,"residue":570}],"minimal_cycle":[570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[68,486],"circle_positions":838,"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":[69,487,905],"clock_positions":[69,487,905],"native_values":[54,473,473],"rotation_degrees":19.80861244019139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[54,473,473],"beta":{"interval_sums":[177602,174250,175088],"interval_residues":[784,784,784],"display_cycle":[784,784,784],"intervals":[{"from_index":69,"to_index":487,"sum":177602,"residue":784},{"from_index":487,"to_index":905,"sum":174250,"residue":784},{"from_index":905,"to_index":69,"sum":175088,"residue":784}],"minimal_cycle":[784],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":784,"start_interval_clock_positions":[69,487],"circle_positions":838,"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":[70,488,906],"clock_positions":[70,488,906],"native_values":[741,741,322],"rotation_degrees":20.095693779904305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,741,322],"beta":{"interval_sums":[177334,173982,174820],"interval_residues":[516,516,516],"display_cycle":[516,516,516],"intervals":[{"from_index":70,"to_index":488,"sum":177334,"residue":516},{"from_index":488,"to_index":906,"sum":173982,"residue":516},{"from_index":906,"to_index":70,"sum":174820,"residue":516}],"minimal_cycle":[516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":516,"start_interval_clock_positions":[70,488],"circle_positions":838,"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":[71,489,907],"clock_positions":[71,489,907],"native_values":[795,376,795],"rotation_degrees":20.382775119617225,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,376,795],"beta":{"interval_sums":[177280,173928,174766],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":71,"to_index":489,"sum":177280,"residue":462},{"from_index":489,"to_index":907,"sum":173928,"residue":462},{"from_index":907,"to_index":71,"sum":174766,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[71,489],"circle_positions":838,"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":[72,490,908],"clock_positions":[72,490,908],"native_values":[698,279,279],"rotation_degrees":20.669856459330145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,279,279],"beta":{"interval_sums":[176958,174444,175282],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":72,"to_index":490,"sum":176958,"residue":140},{"from_index":490,"to_index":908,"sum":174444,"residue":140},{"from_index":908,"to_index":72,"sum":175282,"residue":140}],"minimal_cycle":[140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[72,490],"circle_positions":838,"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":[73,491,909],"clock_positions":[73,491,909],"native_values":[655,655,236],"rotation_degrees":20.95693779904306,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,655,236],"beta":{"interval_sums":[176582,174068,175744],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":73,"to_index":491,"sum":176582,"residue":602},{"from_index":491,"to_index":909,"sum":174068,"residue":602},{"from_index":909,"to_index":73,"sum":175744,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[73,491],"circle_positions":838,"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":[74,492,910],"clock_positions":[74,492,910],"native_values":[515,96,515],"rotation_degrees":21.24401913875598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,96,515],"beta":{"interval_sums":[176722,174208,175884],"interval_residues":[742,742,742],"display_cycle":[742,742,742],"intervals":[{"from_index":74,"to_index":492,"sum":176722,"residue":742},{"from_index":492,"to_index":910,"sum":174208,"residue":742},{"from_index":910,"to_index":74,"sum":175884,"residue":742}],"minimal_cycle":[742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":742,"start_interval_clock_positions":[74,492],"circle_positions":838,"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":[75,493,911],"clock_positions":[75,493,911],"native_values":[332,751,751],"rotation_degrees":21.5311004784689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,751,751],"beta":{"interval_sums":[176486,173972,175648],"interval_residues":[506,506,506],"display_cycle":[506,506,506],"intervals":[{"from_index":75,"to_index":493,"sum":176486,"residue":506},{"from_index":493,"to_index":911,"sum":173972,"residue":506},{"from_index":911,"to_index":75,"sum":175648,"residue":506}],"minimal_cycle":[506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[75,493],"circle_positions":838,"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":[76,494,912],"clock_positions":[76,494,912],"native_values":[9,9,428],"rotation_degrees":21.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,9,428],"beta":{"interval_sums":[177228,174714,175552],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":76,"to_index":494,"sum":177228,"residue":410},{"from_index":494,"to_index":912,"sum":174714,"residue":410},{"from_index":912,"to_index":76,"sum":175552,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[76,494],"circle_positions":838,"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":[77,495,913],"clock_positions":[77,495,913],"native_values":[341,760,341],"rotation_degrees":22.105263157894736,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,760,341],"beta":{"interval_sums":[176896,174382,175220],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":77,"to_index":495,"sum":176896,"residue":78},{"from_index":495,"to_index":913,"sum":174382,"residue":78},{"from_index":913,"to_index":77,"sum":175220,"residue":78}],"minimal_cycle":[78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[77,495],"circle_positions":838,"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":[78,496,914],"clock_positions":[78,496,914],"native_values":[350,769,769],"rotation_degrees":22.392344497607656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,769,769],"beta":{"interval_sums":[177306,173954,174792],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":78,"to_index":496,"sum":177306,"residue":488},{"from_index":496,"to_index":914,"sum":173954,"residue":488},{"from_index":914,"to_index":78,"sum":174792,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[78,496],"circle_positions":838,"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":[79,497,915],"clock_positions":[79,497,915],"native_values":[691,691,272],"rotation_degrees":22.679425837320576,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,691,272],"beta":{"interval_sums":[177384,174032,174870],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":79,"to_index":497,"sum":177384,"residue":566},{"from_index":497,"to_index":915,"sum":174032,"residue":566},{"from_index":915,"to_index":79,"sum":174870,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[79,497],"circle_positions":838,"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":[80,498,916],"clock_positions":[80,498,916],"native_values":[203,622,203],"rotation_degrees":22.966507177033492,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,622,203],"beta":{"interval_sums":[177872,173682,175358],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":80,"to_index":498,"sum":177872,"residue":216},{"from_index":498,"to_index":916,"sum":173682,"residue":216},{"from_index":916,"to_index":80,"sum":175358,"residue":216}],"minimal_cycle":[216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[80,498],"circle_positions":838,"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":[81,499,917],"clock_positions":[81,499,917],"native_values":[56,475,475],"rotation_degrees":23.25358851674641,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,475,475],"beta":{"interval_sums":[178438,173410,175086],"interval_residues":[782,782,782],"display_cycle":[782,782,782],"intervals":[{"from_index":81,"to_index":499,"sum":178438,"residue":782},{"from_index":499,"to_index":917,"sum":173410,"residue":782},{"from_index":917,"to_index":81,"sum":175086,"residue":782}],"minimal_cycle":[782],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":782,"start_interval_clock_positions":[81,499],"circle_positions":838,"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":[82,500,918],"clock_positions":[82,500,918],"native_values":[259,259,678],"rotation_degrees":23.54066985645933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,259,678],"beta":{"interval_sums":[178654,173626,174464],"interval_residues":[160,160,160],"display_cycle":[160,160,160],"intervals":[{"from_index":82,"to_index":500,"sum":178654,"residue":160},{"from_index":500,"to_index":918,"sum":173626,"residue":160},{"from_index":918,"to_index":82,"sum":174464,"residue":160}],"minimal_cycle":[160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[82,500],"circle_positions":838,"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":[83,501,919],"clock_positions":[83,501,919],"native_values":[315,734,315],"rotation_degrees":23.827751196172247,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,734,315],"beta":{"interval_sums":[178598,173570,174408],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":83,"to_index":501,"sum":178598,"residue":104},{"from_index":501,"to_index":919,"sum":173570,"residue":104},{"from_index":919,"to_index":83,"sum":174408,"residue":104}],"minimal_cycle":[104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[83,501],"circle_positions":838,"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":[84,502,920],"clock_positions":[84,502,920],"native_values":[574,155,155],"rotation_degrees":24.114832535885167,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,155,155],"beta":{"interval_sums":[178758,173730,174568],"interval_residues":[264,264,264],"display_cycle":[264,264,264],"intervals":[{"from_index":84,"to_index":502,"sum":178758,"residue":264},{"from_index":502,"to_index":920,"sum":173730,"residue":264},{"from_index":920,"to_index":84,"sum":174568,"residue":264}],"minimal_cycle":[264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[84,502],"circle_positions":838,"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":[85,503,921],"clock_positions":[85,503,921],"native_values":[51,51,470],"rotation_degrees":24.401913875598087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,51,470],"beta":{"interval_sums":[178862,173834,174672],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":85,"to_index":503,"sum":178862,"residue":368},{"from_index":503,"to_index":921,"sum":173834,"residue":368},{"from_index":921,"to_index":85,"sum":174672,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[85,503],"circle_positions":838,"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":[86,504,922],"clock_positions":[86,504,922],"native_values":[625,206,625],"rotation_degrees":24.688995215311003,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,206,625],"beta":{"interval_sums":[178288,174098,174098],"interval_residues":[632,632,632],"display_cycle":[632,632,632],"intervals":[{"from_index":86,"to_index":504,"sum":178288,"residue":632},{"from_index":504,"to_index":922,"sum":174098,"residue":632},{"from_index":922,"to_index":86,"sum":174098,"residue":632}],"minimal_cycle":[632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[86,504],"circle_positions":838,"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":[87,505,923],"clock_positions":[87,505,923],"native_values":[676,257,257],"rotation_degrees":24.976076555023923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,257,257],"beta":{"interval_sums":[177818,174466,174466],"interval_residues":[162,162,162],"display_cycle":[162,162,162],"intervals":[{"from_index":87,"to_index":505,"sum":177818,"residue":162},{"from_index":505,"to_index":923,"sum":174466,"residue":162},{"from_index":923,"to_index":87,"sum":174466,"residue":162}],"minimal_cycle":[162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[87,505],"circle_positions":838,"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":[88,506,924],"clock_positions":[88,506,924],"native_values":[463,463,44],"rotation_degrees":25.263157894736842,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,463,44],"beta":{"interval_sums":[177612,174260,175098],"interval_residues":[794,794,794],"display_cycle":[794,794,794],"intervals":[{"from_index":88,"to_index":506,"sum":177612,"residue":794},{"from_index":506,"to_index":924,"sum":174260,"residue":794},{"from_index":924,"to_index":88,"sum":175098,"residue":794}],"minimal_cycle":[794],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":794,"start_interval_clock_positions":[88,506],"circle_positions":838,"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":[89,507,925],"clock_positions":[89,507,925],"native_values":[301,720,301],"rotation_degrees":25.550239234449762,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,720,301],"beta":{"interval_sums":[177774,173584,175260],"interval_residues":[118,118,118],"display_cycle":[118,118,118],"intervals":[{"from_index":89,"to_index":507,"sum":177774,"residue":118},{"from_index":507,"to_index":925,"sum":173584,"residue":118},{"from_index":925,"to_index":89,"sum":175260,"residue":118}],"minimal_cycle":[118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[89,507],"circle_positions":838,"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":[90,508,926],"clock_positions":[90,508,926],"native_values":[764,345,345],"rotation_degrees":25.83732057416268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,345,345],"beta":{"interval_sums":[177730,173540,175216],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":90,"to_index":508,"sum":177730,"residue":74},{"from_index":508,"to_index":926,"sum":173540,"residue":74},{"from_index":926,"to_index":90,"sum":175216,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[90,508],"circle_positions":838,"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":[91,509,927],"clock_positions":[91,509,927],"native_values":[227,227,646],"rotation_degrees":26.124401913875598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,227,646],"beta":{"interval_sums":[177848,173658,175334],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":91,"to_index":509,"sum":177848,"residue":192},{"from_index":509,"to_index":927,"sum":173658,"residue":192},{"from_index":927,"to_index":91,"sum":175334,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[91,509],"circle_positions":838,"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":[92,510,928],"clock_positions":[92,510,928],"native_values":[153,572,153],"rotation_degrees":26.411483253588518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,572,153],"beta":{"interval_sums":[177922,173732,175408],"interval_residues":[266,266,266],"display_cycle":[266,266,266],"intervals":[{"from_index":92,"to_index":510,"sum":177922,"residue":266},{"from_index":510,"to_index":928,"sum":173732,"residue":266},{"from_index":928,"to_index":92,"sum":175408,"residue":266}],"minimal_cycle":[266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[92,510],"circle_positions":838,"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":[93,511,929],"clock_positions":[93,511,929],"native_values":[380,799,799],"rotation_degrees":26.698564593301434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,799,799],"beta":{"interval_sums":[178114,173086,174762],"interval_residues":[458,458,458],"display_cycle":[458,458,458],"intervals":[{"from_index":93,"to_index":511,"sum":178114,"residue":458},{"from_index":511,"to_index":929,"sum":173086,"residue":458},{"from_index":929,"to_index":93,"sum":174762,"residue":458}],"minimal_cycle":[458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[93,511],"circle_positions":838,"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":[94,512,930],"clock_positions":[94,512,930],"native_values":[533,533,114],"rotation_degrees":26.985645933014354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,533,114],"beta":{"interval_sums":[178380,173352,175028],"interval_residues":[724,724,724],"display_cycle":[724,724,724],"intervals":[{"from_index":94,"to_index":512,"sum":178380,"residue":724},{"from_index":512,"to_index":930,"sum":173352,"residue":724},{"from_index":930,"to_index":94,"sum":175028,"residue":724}],"minimal_cycle":[724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[94,512],"circle_positions":838,"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":[95,513,931],"clock_positions":[95,513,931],"native_values":[75,494,75],"rotation_degrees":27.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,494,75],"beta":{"interval_sums":[178838,172972,175486],"interval_residues":[344,344,344],"display_cycle":[344,344,344],"intervals":[{"from_index":95,"to_index":513,"sum":178838,"residue":344},{"from_index":513,"to_index":931,"sum":172972,"residue":344},{"from_index":931,"to_index":95,"sum":175486,"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":[95,513],"circle_positions":838,"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":[96,514,932],"clock_positions":[96,514,932],"native_values":[608,189,189],"rotation_degrees":27.559808612440193,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[608,189,189],"beta":{"interval_sums":[178724,172858,175372],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":96,"to_index":514,"sum":178724,"residue":230},{"from_index":514,"to_index":932,"sum":172858,"residue":230},{"from_index":932,"to_index":96,"sum":175372,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[96,514],"circle_positions":838,"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":[97,515,933],"clock_positions":[97,515,933],"native_values":[683,683,264],"rotation_degrees":27.84688995215311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,683,264],"beta":{"interval_sums":[178230,172364,175716],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":97,"to_index":515,"sum":178230,"residue":574},{"from_index":515,"to_index":933,"sum":172364,"residue":574},{"from_index":933,"to_index":97,"sum":175716,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[97,515],"circle_positions":838,"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":[98,516,934],"clock_positions":[98,516,934],"native_values":[453,34,453],"rotation_degrees":28.13397129186603,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,34,453],"beta":{"interval_sums":[178460,172594,175946],"interval_residues":[804,804,804],"display_cycle":[804,804,804],"intervals":[{"from_index":98,"to_index":516,"sum":178460,"residue":804},{"from_index":516,"to_index":934,"sum":172594,"residue":804},{"from_index":934,"to_index":98,"sum":175946,"residue":804}],"minimal_cycle":[804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[98,516],"circle_positions":838,"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":[99,517,935],"clock_positions":[99,517,935],"native_values":[298,717,717],"rotation_degrees":28.42105263157895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,717,717],"beta":{"interval_sums":[178196,172330,175682],"interval_residues":[540,540,540],"display_cycle":[540,540,540],"intervals":[{"from_index":99,"to_index":517,"sum":178196,"residue":540},{"from_index":517,"to_index":935,"sum":172330,"residue":540},{"from_index":935,"to_index":99,"sum":175682,"residue":540}],"minimal_cycle":[540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[99,517],"circle_positions":838,"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":[100,518,936],"clock_positions":[100,518,936],"native_values":[751,751,332],"rotation_degrees":28.708133971291865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,751,332],"beta":{"interval_sums":[178162,172296,175648],"interval_residues":[506,506,506],"display_cycle":[506,506,506],"intervals":[{"from_index":100,"to_index":518,"sum":178162,"residue":506},{"from_index":518,"to_index":936,"sum":172296,"residue":506},{"from_index":936,"to_index":100,"sum":175648,"residue":506}],"minimal_cycle":[506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[100,518],"circle_positions":838,"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":[101,519,937],"clock_positions":[101,519,937],"native_values":[211,630,211],"rotation_degrees":28.995215311004785,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,630,211],"beta":{"interval_sums":[178702,171998,176188],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":101,"to_index":519,"sum":178702,"residue":208},{"from_index":519,"to_index":937,"sum":171998,"residue":208},{"from_index":937,"to_index":101,"sum":176188,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[101,519],"circle_positions":838,"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":[102,520,938],"clock_positions":[102,520,938],"native_values":[124,543,543],"rotation_degrees":29.282296650717704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,543,543],"beta":{"interval_sums":[179208,171666,175856],"interval_residues":[714,714,714],"display_cycle":[714,714,714],"intervals":[{"from_index":102,"to_index":520,"sum":179208,"residue":714},{"from_index":520,"to_index":938,"sum":171666,"residue":714},{"from_index":938,"to_index":102,"sum":175856,"residue":714}],"minimal_cycle":[714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[102,520],"circle_positions":838,"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":[103,521,939],"clock_positions":[103,521,939],"native_values":[335,335,754],"rotation_degrees":29.56937799043062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,335,754],"beta":{"interval_sums":[179416,171874,175226],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":103,"to_index":521,"sum":179416,"residue":84},{"from_index":521,"to_index":939,"sum":171874,"residue":84},{"from_index":939,"to_index":103,"sum":175226,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[103,521],"circle_positions":838,"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":[104,522,940],"clock_positions":[104,522,940],"native_values":[459,40,459],"rotation_degrees":29.85645933014354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,40,459],"beta":{"interval_sums":[179292,172588,175102],"interval_residues":[798,798,798],"display_cycle":[798,798,798],"intervals":[{"from_index":104,"to_index":522,"sum":179292,"residue":798},{"from_index":522,"to_index":940,"sum":172588,"residue":798},{"from_index":940,"to_index":104,"sum":175102,"residue":798}],"minimal_cycle":[798],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":798,"start_interval_clock_positions":[104,522],"circle_positions":838,"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":[105,523,941],"clock_positions":[105,523,941],"native_values":[794,375,375],"rotation_degrees":30.14354066985646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[794,375,375],"beta":{"interval_sums":[178538,172672,175186],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":105,"to_index":523,"sum":178538,"residue":44},{"from_index":523,"to_index":941,"sum":172672,"residue":44},{"from_index":941,"to_index":105,"sum":175186,"residue":44}],"minimal_cycle":[44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[105,523],"circle_positions":838,"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":[106,524,942],"clock_positions":[106,524,942],"native_values":[415,415,834],"rotation_degrees":30.43062200956938,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,415,834],"beta":{"interval_sums":[178498,172632,175146],"interval_residues":[4,4,4],"display_cycle":[4,4,4],"intervals":[{"from_index":106,"to_index":524,"sum":178498,"residue":4},{"from_index":524,"to_index":942,"sum":172632,"residue":4},{"from_index":942,"to_index":106,"sum":175146,"residue":4}],"minimal_cycle":[4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[106,524],"circle_positions":838,"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":[107,525,943],"clock_positions":[107,525,943],"native_values":[371,790,371],"rotation_degrees":30.717703349282296,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,790,371],"beta":{"interval_sums":[178542,172676,175190],"interval_residues":[48,48,48],"display_cycle":[48,48,48],"intervals":[{"from_index":107,"to_index":525,"sum":178542,"residue":48},{"from_index":525,"to_index":943,"sum":172676,"residue":48},{"from_index":943,"to_index":107,"sum":175190,"residue":48}],"minimal_cycle":[48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[107,525],"circle_positions":838,"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":[108,526,944],"clock_positions":[108,526,944],"native_values":[786,367,367],"rotation_degrees":31.004784688995215,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[786,367,367],"beta":{"interval_sums":[178546,172680,175194],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":108,"to_index":526,"sum":178546,"residue":52},{"from_index":526,"to_index":944,"sum":172680,"residue":52},{"from_index":944,"to_index":108,"sum":175194,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[108,526],"circle_positions":838,"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":[109,527,945],"clock_positions":[109,527,945],"native_values":[319,319,738],"rotation_degrees":31.291866028708135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,319,738],"beta":{"interval_sums":[178594,172728,175242],"interval_residues":[100,100,100],"display_cycle":[100,100,100],"intervals":[{"from_index":109,"to_index":527,"sum":178594,"residue":100},{"from_index":527,"to_index":945,"sum":172728,"residue":100},{"from_index":945,"to_index":109,"sum":175242,"residue":100}],"minimal_cycle":[100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[109,527],"circle_positions":838,"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":[110,528,946],"clock_positions":[110,528,946],"native_values":[267,686,267],"rotation_degrees":31.57894736842105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,686,267],"beta":{"interval_sums":[178646,172780,175294],"interval_residues":[152,152,152],"display_cycle":[152,152,152],"intervals":[{"from_index":110,"to_index":528,"sum":178646,"residue":152},{"from_index":528,"to_index":946,"sum":172780,"residue":152},{"from_index":946,"to_index":110,"sum":175294,"residue":152}],"minimal_cycle":[152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[110,528],"circle_positions":838,"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":[111,529,947],"clock_positions":[111,529,947],"native_values":[586,167,167],"rotation_degrees":31.86602870813397,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,167,167],"beta":{"interval_sums":[178746,172880,175394],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":111,"to_index":529,"sum":178746,"residue":252},{"from_index":529,"to_index":947,"sum":172880,"residue":252},{"from_index":947,"to_index":111,"sum":175394,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[111,529],"circle_positions":838,"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":[112,530,948],"clock_positions":[112,530,948],"native_values":[15,15,434],"rotation_degrees":32.15311004784689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,15,434],"beta":{"interval_sums":[178898,173032,175546],"interval_residues":[404,404,404],"display_cycle":[404,404,404],"intervals":[{"from_index":112,"to_index":530,"sum":178898,"residue":404},{"from_index":530,"to_index":948,"sum":173032,"residue":404},{"from_index":948,"to_index":112,"sum":175546,"residue":404}],"minimal_cycle":[404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":404,"start_interval_clock_positions":[112,530],"circle_positions":838,"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":[113,531,949],"clock_positions":[113,531,949],"native_values":[601,182,601],"rotation_degrees":32.44019138755981,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,182,601],"beta":{"interval_sums":[178312,173284,174960],"interval_residues":[656,656,656],"display_cycle":[656,656,656],"intervals":[{"from_index":113,"to_index":531,"sum":178312,"residue":656},{"from_index":531,"to_index":949,"sum":173284,"residue":656},{"from_index":949,"to_index":113,"sum":174960,"residue":656}],"minimal_cycle":[656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[113,531],"circle_positions":838,"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":[114,532,950],"clock_positions":[114,532,950],"native_values":[616,197,197],"rotation_degrees":32.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,197,197],"beta":{"interval_sums":[177878,173688,175364],"interval_residues":[222,222,222],"display_cycle":[222,222,222],"intervals":[{"from_index":114,"to_index":532,"sum":177878,"residue":222},{"from_index":532,"to_index":950,"sum":173688,"residue":222},{"from_index":950,"to_index":114,"sum":175364,"residue":222}],"minimal_cycle":[222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[114,532],"circle_positions":838,"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":[115,533,951],"clock_positions":[115,533,951],"native_values":[379,379,798],"rotation_degrees":33.014354066985646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,379,798],"beta":{"interval_sums":[177696,173506,175182],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":115,"to_index":533,"sum":177696,"residue":40},{"from_index":533,"to_index":951,"sum":173506,"residue":40},{"from_index":951,"to_index":115,"sum":175182,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[115,533],"circle_positions":838,"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":[116,534,952],"clock_positions":[116,534,952],"native_values":[157,576,157],"rotation_degrees":33.301435406698566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,576,157],"beta":{"interval_sums":[177918,173728,175404],"interval_residues":[262,262,262],"display_cycle":[262,262,262],"intervals":[{"from_index":116,"to_index":534,"sum":177918,"residue":262},{"from_index":534,"to_index":952,"sum":173728,"residue":262},{"from_index":952,"to_index":116,"sum":175404,"residue":262}],"minimal_cycle":[262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[116,534],"circle_positions":838,"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":[117,535,953],"clock_positions":[117,535,953],"native_values":[536,117,117],"rotation_degrees":33.588516746411486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,117,117],"beta":{"interval_sums":[177958,173768,175444],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":117,"to_index":535,"sum":177958,"residue":302},{"from_index":535,"to_index":953,"sum":173768,"residue":302},{"from_index":953,"to_index":117,"sum":175444,"residue":302}],"minimal_cycle":[302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[117,535],"circle_positions":838,"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":[118,536,954],"clock_positions":[118,536,954],"native_values":[693,693,274],"rotation_degrees":33.8755980861244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,693,274],"beta":{"interval_sums":[177382,173192,175706],"interval_residues":[564,564,564],"display_cycle":[564,564,564],"intervals":[{"from_index":118,"to_index":536,"sum":177382,"residue":564},{"from_index":536,"to_index":954,"sum":173192,"residue":564},{"from_index":954,"to_index":118,"sum":175706,"residue":564}],"minimal_cycle":[564],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":564,"start_interval_clock_positions":[118,536],"circle_positions":838,"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":[119,537,955],"clock_positions":[119,537,955],"native_values":[391,810,391],"rotation_degrees":34.16267942583732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,810,391],"beta":{"interval_sums":[177684,172656,176008],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":119,"to_index":537,"sum":177684,"residue":28},{"from_index":537,"to_index":955,"sum":172656,"residue":28},{"from_index":955,"to_index":119,"sum":176008,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[119,537],"circle_positions":838,"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":[120,538,956],"clock_positions":[120,538,956],"native_values":[246,665,665],"rotation_degrees":34.44976076555024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[246,665,665],"beta":{"interval_sums":[178248,172382,175734],"interval_residues":[592,592,592],"display_cycle":[592,592,592],"intervals":[{"from_index":120,"to_index":538,"sum":178248,"residue":592},{"from_index":538,"to_index":956,"sum":172382,"residue":592},{"from_index":956,"to_index":120,"sum":175734,"residue":592}],"minimal_cycle":[592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[120,538],"circle_positions":838,"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":[121,539,957],"clock_positions":[121,539,957],"native_values":[637,637,218],"rotation_degrees":34.73684210526316,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,637,218],"beta":{"interval_sums":[178276,172410,175762],"interval_residues":[620,620,620],"display_cycle":[620,620,620],"intervals":[{"from_index":121,"to_index":539,"sum":178276,"residue":620},{"from_index":539,"to_index":957,"sum":172410,"residue":620},{"from_index":957,"to_index":121,"sum":175762,"residue":620}],"minimal_cycle":[620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[121,539],"circle_positions":838,"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":[122,540,958],"clock_positions":[122,540,958],"native_values":[45,464,45],"rotation_degrees":35.02392344497608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,464,45],"beta":{"interval_sums":[178868,172164,176354],"interval_residues":[374,374,374],"display_cycle":[374,374,374],"intervals":[{"from_index":122,"to_index":540,"sum":178868,"residue":374},{"from_index":540,"to_index":958,"sum":172164,"residue":374},{"from_index":958,"to_index":122,"sum":176354,"residue":374}],"minimal_cycle":[374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[122,540],"circle_positions":838,"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":[123,541,959],"clock_positions":[123,541,959],"native_values":[682,263,263],"rotation_degrees":35.311004784689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[682,263,263],"beta":{"interval_sums":[178650,171946,176136],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":123,"to_index":541,"sum":178650,"residue":156},{"from_index":541,"to_index":959,"sum":171946,"residue":156},{"from_index":959,"to_index":123,"sum":176136,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[123,541],"circle_positions":838,"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":[124,542,960],"clock_positions":[124,542,960],"native_values":[727,727,308],"rotation_degrees":35.59808612440192,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,727,308],"beta":{"interval_sums":[178186,171482,176510],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":124,"to_index":542,"sum":178186,"residue":530},{"from_index":542,"to_index":960,"sum":171482,"residue":530},{"from_index":960,"to_index":124,"sum":176510,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[124,542],"circle_positions":838,"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":[125,543,961],"clock_positions":[125,543,961],"native_values":[571,152,571],"rotation_degrees":35.88516746411483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,152,571],"beta":{"interval_sums":[178342,171638,176666],"interval_residues":[686,686,686],"display_cycle":[686,686,686],"intervals":[{"from_index":125,"to_index":543,"sum":178342,"residue":686},{"from_index":543,"to_index":961,"sum":171638,"residue":686},{"from_index":961,"to_index":125,"sum":176666,"residue":686}],"minimal_cycle":[686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[125,543],"circle_positions":838,"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":[126,544,962],"clock_positions":[126,544,962],"native_values":[460,41,41],"rotation_degrees":36.17224880382775,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,41,41],"beta":{"interval_sums":[178034,172168,177196],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":126,"to_index":544,"sum":178034,"residue":378},{"from_index":544,"to_index":962,"sum":172168,"residue":378},{"from_index":962,"to_index":126,"sum":177196,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[126,544],"circle_positions":838,"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":[127,545,963],"clock_positions":[127,545,963],"native_values":[193,193,612],"rotation_degrees":36.45933014354067,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,193,612],"beta":{"interval_sums":[177882,172016,177044],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":127,"to_index":545,"sum":177882,"residue":226},{"from_index":545,"to_index":963,"sum":172016,"residue":226},{"from_index":963,"to_index":127,"sum":177044,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[127,545],"circle_positions":838,"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":[128,546,964],"clock_positions":[128,546,964],"native_values":[653,234,653],"rotation_degrees":36.74641148325359,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,234,653],"beta":{"interval_sums":[177422,172394,176584],"interval_residues":[604,604,604],"display_cycle":[604,604,604],"intervals":[{"from_index":128,"to_index":546,"sum":177422,"residue":604},{"from_index":546,"to_index":964,"sum":172394,"residue":604},{"from_index":964,"to_index":128,"sum":176584,"residue":604}],"minimal_cycle":[604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[128,546],"circle_positions":838,"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":[129,547,965],"clock_positions":[129,547,965],"native_values":[8,427,427],"rotation_degrees":37.03349282296651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,427,427],"beta":{"interval_sums":[177648,172620,176810],"interval_residues":[830,830,830],"display_cycle":[830,830,830],"intervals":[{"from_index":129,"to_index":547,"sum":177648,"residue":830},{"from_index":547,"to_index":965,"sum":172620,"residue":830},{"from_index":965,"to_index":129,"sum":176810,"residue":830}],"minimal_cycle":[830],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":830,"start_interval_clock_positions":[129,547],"circle_positions":838,"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":[130,548,966],"clock_positions":[130,548,966],"native_values":[661,661,242],"rotation_degrees":37.32057416267943,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,661,242],"beta":{"interval_sums":[177414,172386,176576],"interval_residues":[596,596,596],"display_cycle":[596,596,596],"intervals":[{"from_index":130,"to_index":548,"sum":177414,"residue":596},{"from_index":548,"to_index":966,"sum":172386,"residue":596},{"from_index":966,"to_index":130,"sum":176576,"residue":596}],"minimal_cycle":[596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[130,548],"circle_positions":838,"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":[131,549,967],"clock_positions":[131,549,967],"native_values":[669,250,669],"rotation_degrees":37.60765550239235,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,250,669],"beta":{"interval_sums":[177406,172378,176568],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":131,"to_index":549,"sum":177406,"residue":588},{"from_index":549,"to_index":967,"sum":172378,"residue":588},{"from_index":967,"to_index":131,"sum":176568,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[131,549],"circle_positions":838,"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":[132,550,968],"clock_positions":[132,550,968],"native_values":[492,73,73],"rotation_degrees":37.89473684210526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,73,73],"beta":{"interval_sums":[177164,172974,177164],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":132,"to_index":550,"sum":177164,"residue":346},{"from_index":550,"to_index":968,"sum":172974,"residue":346},{"from_index":968,"to_index":132,"sum":177164,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[132,550],"circle_positions":838,"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":[133,551,969],"clock_positions":[133,551,969],"native_values":[323,323,742],"rotation_degrees":38.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,323,742],"beta":{"interval_sums":[176914,172724,176914],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":133,"to_index":551,"sum":176914,"residue":96},{"from_index":551,"to_index":969,"sum":172724,"residue":96},{"from_index":969,"to_index":133,"sum":176914,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[133,551],"circle_positions":838,"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":[134,552,970],"clock_positions":[134,552,970],"native_values":[815,396,815],"rotation_degrees":38.4688995215311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[815,396,815],"beta":{"interval_sums":[176422,173070,176422],"interval_residues":[442,442,442],"display_cycle":[442,442,442],"intervals":[{"from_index":134,"to_index":552,"sum":176422,"residue":442},{"from_index":552,"to_index":970,"sum":173070,"residue":442},{"from_index":970,"to_index":134,"sum":176422,"residue":442}],"minimal_cycle":[442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[134,552],"circle_positions":838,"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":[135,553,971],"clock_positions":[135,553,971],"native_values":[300,719,719],"rotation_degrees":38.75598086124402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,719,719],"beta":{"interval_sums":[176518,173166,176518],"interval_residues":[538,538,538],"display_cycle":[538,538,538],"intervals":[{"from_index":135,"to_index":553,"sum":176518,"residue":538},{"from_index":553,"to_index":971,"sum":173166,"residue":538},{"from_index":971,"to_index":135,"sum":176518,"residue":538}],"minimal_cycle":[538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[135,553],"circle_positions":838,"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":[136,554,972],"clock_positions":[136,554,972],"native_values":[277,277,696],"rotation_degrees":39.04306220095694,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,277,696],"beta":{"interval_sums":[176960,173608,176122],"interval_residues":[142,142,142],"display_cycle":[142,142,142],"intervals":[{"from_index":136,"to_index":554,"sum":176960,"residue":142},{"from_index":554,"to_index":972,"sum":173608,"residue":142},{"from_index":972,"to_index":136,"sum":176122,"residue":142}],"minimal_cycle":[142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[136,554],"circle_positions":838,"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":[137,555,973],"clock_positions":[137,555,973],"native_values":[577,158,577],"rotation_degrees":39.33014354066986,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,158,577],"beta":{"interval_sums":[176660,174146,175822],"interval_residues":[680,680,680],"display_cycle":[680,680,680],"intervals":[{"from_index":137,"to_index":555,"sum":176660,"residue":680},{"from_index":555,"to_index":973,"sum":174146,"residue":680},{"from_index":973,"to_index":137,"sum":175822,"residue":680}],"minimal_cycle":[680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[137,555],"circle_positions":838,"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":[138,556,974],"clock_positions":[138,556,974],"native_values":[16,435,435],"rotation_degrees":39.61722488038278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,435,435],"beta":{"interval_sums":[176802,174288,175964],"interval_residues":[822,822,822],"display_cycle":[822,822,822],"intervals":[{"from_index":138,"to_index":556,"sum":176802,"residue":822},{"from_index":556,"to_index":974,"sum":174288,"residue":822},{"from_index":974,"to_index":138,"sum":175964,"residue":822}],"minimal_cycle":[822],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":822,"start_interval_clock_positions":[138,556],"circle_positions":838,"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":[139,557,975],"clock_positions":[139,557,975],"native_values":[593,593,174],"rotation_degrees":39.90430622009569,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,593,174],"beta":{"interval_sums":[176644,174130,175806],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":139,"to_index":557,"sum":176644,"residue":664},{"from_index":557,"to_index":975,"sum":174130,"residue":664},{"from_index":975,"to_index":139,"sum":175806,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[139,557],"circle_positions":838,"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":[140,558,976],"clock_positions":[140,558,976],"native_values":[609,190,609],"rotation_degrees":40.19138755980861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,190,609],"beta":{"interval_sums":[176628,174114,175790],"interval_residues":[648,648,648],"display_cycle":[648,648,648],"intervals":[{"from_index":140,"to_index":558,"sum":176628,"residue":648},{"from_index":558,"to_index":976,"sum":174114,"residue":648},{"from_index":976,"to_index":140,"sum":175790,"residue":648}],"minimal_cycle":[648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[140,558],"circle_positions":838,"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":[141,559,977],"clock_positions":[141,559,977],"native_values":[364,783,783],"rotation_degrees":40.47846889952153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,783,783],"beta":{"interval_sums":[176454,173940,175616],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":141,"to_index":559,"sum":176454,"residue":474},{"from_index":559,"to_index":977,"sum":173940,"residue":474},{"from_index":977,"to_index":141,"sum":175616,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[141,559],"circle_positions":838,"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":[142,560,978],"clock_positions":[142,560,978],"native_values":[135,135,554],"rotation_degrees":40.76555023923445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,135,554],"beta":{"interval_sums":[177102,174588,175426],"interval_residues":[284,284,284],"display_cycle":[284,284,284],"intervals":[{"from_index":142,"to_index":560,"sum":177102,"residue":284},{"from_index":560,"to_index":978,"sum":174588,"residue":284},{"from_index":978,"to_index":142,"sum":175426,"residue":284}],"minimal_cycle":[284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[142,560],"circle_positions":838,"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":[143,561,979],"clock_positions":[143,561,979],"native_values":[499,80,499],"rotation_degrees":41.05263157894737,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,80,499],"beta":{"interval_sums":[176738,175062,175062],"interval_residues":[758,758,758],"display_cycle":[758,758,758],"intervals":[{"from_index":143,"to_index":561,"sum":176738,"residue":758},{"from_index":561,"to_index":979,"sum":175062,"residue":758},{"from_index":979,"to_index":143,"sum":175062,"residue":758}],"minimal_cycle":[758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":758,"start_interval_clock_positions":[143,561],"circle_positions":838,"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":[144,562,980],"clock_positions":[144,562,980],"native_values":[634,215,215],"rotation_degrees":41.33971291866029,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,215,215],"beta":{"interval_sums":[176184,175346,175346],"interval_residues":[204,204,204],"display_cycle":[204,204,204],"intervals":[{"from_index":144,"to_index":562,"sum":176184,"residue":204},{"from_index":562,"to_index":980,"sum":175346,"residue":204},{"from_index":980,"to_index":144,"sum":175346,"residue":204}],"minimal_cycle":[204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":204,"start_interval_clock_positions":[144,562],"circle_positions":838,"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":[145,563,981],"clock_positions":[145,563,981],"native_values":[295,295,714],"rotation_degrees":41.6267942583732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,295,714],"beta":{"interval_sums":[176104,175266,175266],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":145,"to_index":563,"sum":176104,"residue":124},{"from_index":563,"to_index":981,"sum":175266,"residue":124},{"from_index":981,"to_index":145,"sum":175266,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[145,563],"circle_positions":838,"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":[146,564,982],"clock_positions":[146,564,982],"native_values":[91,510,91],"rotation_degrees":41.91387559808612,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,510,91],"beta":{"interval_sums":[176308,175470,175470],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":146,"to_index":564,"sum":176308,"residue":328},{"from_index":564,"to_index":982,"sum":175470,"residue":328},{"from_index":982,"to_index":146,"sum":175470,"residue":328}],"minimal_cycle":[328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[146,564],"circle_positions":838,"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":[147,565,983],"clock_positions":[147,565,983],"native_values":[386,805,805],"rotation_degrees":42.20095693779904,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,805,805],"beta":{"interval_sums":[176432,174756,174756],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":147,"to_index":565,"sum":176432,"residue":452},{"from_index":565,"to_index":983,"sum":174756,"residue":452},{"from_index":983,"to_index":147,"sum":174756,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[147,565],"circle_positions":838,"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":[148,566,984],"clock_positions":[148,566,984],"native_values":[477,477,58],"rotation_degrees":42.48803827751196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,477,58],"beta":{"interval_sums":[176760,175084,175084],"interval_residues":[780,780,780],"display_cycle":[780,780,780],"intervals":[{"from_index":148,"to_index":566,"sum":176760,"residue":780},{"from_index":566,"to_index":984,"sum":175084,"residue":780},{"from_index":984,"to_index":148,"sum":175084,"residue":780}],"minimal_cycle":[780],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":780,"start_interval_clock_positions":[148,566],"circle_positions":838,"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":[149,567,985],"clock_positions":[149,567,985],"native_values":[25,444,25],"rotation_degrees":42.77511961722488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,444,25],"beta":{"interval_sums":[177212,174698,175536],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":149,"to_index":567,"sum":177212,"residue":394},{"from_index":567,"to_index":985,"sum":174698,"residue":394},{"from_index":985,"to_index":149,"sum":175536,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[149,567],"circle_positions":838,"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":[150,568,986],"clock_positions":[150,568,986],"native_values":[502,83,83],"rotation_degrees":43.0622009569378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,83,83],"beta":{"interval_sums":[177154,174640,175478],"interval_residues":[336,336,336],"display_cycle":[336,336,336],"intervals":[{"from_index":150,"to_index":568,"sum":177154,"residue":336},{"from_index":568,"to_index":986,"sum":174640,"residue":336},{"from_index":986,"to_index":150,"sum":175478,"residue":336}],"minimal_cycle":[336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[150,568],"circle_positions":838,"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":[151,569,987],"clock_positions":[151,569,987],"native_values":[527,527,108],"rotation_degrees":43.34928229665072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,527,108],"beta":{"interval_sums":[176710,174196,175872],"interval_residues":[730,730,730],"display_cycle":[730,730,730],"intervals":[{"from_index":151,"to_index":569,"sum":176710,"residue":730},{"from_index":569,"to_index":987,"sum":174196,"residue":730},{"from_index":987,"to_index":151,"sum":175872,"residue":730}],"minimal_cycle":[730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[151,569],"circle_positions":838,"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":[152,570,988],"clock_positions":[152,570,988],"native_values":[191,610,191],"rotation_degrees":43.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,610,191],"beta":{"interval_sums":[177046,173694,176208],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":152,"to_index":570,"sum":177046,"residue":228},{"from_index":570,"to_index":988,"sum":173694,"residue":228},{"from_index":988,"to_index":152,"sum":176208,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[152,570],"circle_positions":838,"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":[153,571,989],"clock_positions":[153,571,989],"native_values":[718,299,299],"rotation_degrees":43.92344497607655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,299,299],"beta":{"interval_sums":[176938,173586,176100],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":153,"to_index":571,"sum":176938,"residue":120},{"from_index":571,"to_index":989,"sum":173586,"residue":120},{"from_index":989,"to_index":153,"sum":176100,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[153,571],"circle_positions":838,"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":[154,572,990],"clock_positions":[154,572,990],"native_values":[71,71,490],"rotation_degrees":44.21052631578947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,71,490],"beta":{"interval_sums":[177166,173814,176328],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":154,"to_index":572,"sum":177166,"residue":348},{"from_index":572,"to_index":990,"sum":173814,"residue":348},{"from_index":990,"to_index":154,"sum":176328,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[154,572],"circle_positions":838,"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":[155,573,991],"clock_positions":[155,573,991],"native_values":[789,370,789],"rotation_degrees":44.49760765550239,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[789,370,789],"beta":{"interval_sums":[176448,173934,175610],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":155,"to_index":573,"sum":176448,"residue":468},{"from_index":573,"to_index":991,"sum":173934,"residue":468},{"from_index":991,"to_index":155,"sum":175610,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[155,573],"circle_positions":838,"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":[156,574,992],"clock_positions":[156,574,992],"native_values":[22,441,441],"rotation_degrees":44.78468899521531,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,441,441],"beta":{"interval_sums":[176796,174282,175958],"interval_residues":[816,816,816],"display_cycle":[816,816,816],"intervals":[{"from_index":156,"to_index":574,"sum":176796,"residue":816},{"from_index":574,"to_index":992,"sum":174282,"residue":816},{"from_index":992,"to_index":156,"sum":175958,"residue":816}],"minimal_cycle":[816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":816,"start_interval_clock_positions":[156,574],"circle_positions":838,"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":[157,575,993],"clock_positions":[157,575,993],"native_values":[811,811,392],"rotation_degrees":45.07177033492823,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[811,811,392],"beta":{"interval_sums":[176426,173912,175588],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":157,"to_index":575,"sum":176426,"residue":446},{"from_index":575,"to_index":993,"sum":173912,"residue":446},{"from_index":993,"to_index":157,"sum":175588,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[157,575],"circle_positions":838,"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":[158,576,994],"clock_positions":[158,576,994],"native_values":[833,414,833],"rotation_degrees":45.35885167464115,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,414,833],"beta":{"interval_sums":[176404,173890,175566],"interval_residues":[424,424,424],"display_cycle":[424,424,424],"intervals":[{"from_index":158,"to_index":576,"sum":176404,"residue":424},{"from_index":576,"to_index":994,"sum":173890,"residue":424},{"from_index":994,"to_index":158,"sum":175566,"residue":424}],"minimal_cycle":[424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[158,576],"circle_positions":838,"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":[159,577,995],"clock_positions":[159,577,995],"native_values":[806,387,387],"rotation_degrees":45.645933014354064,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[806,387,387],"beta":{"interval_sums":[176012,174336,176012],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":159,"to_index":577,"sum":176012,"residue":32},{"from_index":577,"to_index":995,"sum":174336,"residue":32},{"from_index":995,"to_index":159,"sum":176012,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[159,577],"circle_positions":838,"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":[160,578,996],"clock_positions":[160,578,996],"native_values":[801,801,382],"rotation_degrees":45.933014354066984,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[801,801,382],"beta":{"interval_sums":[175598,173922,176436],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":160,"to_index":578,"sum":175598,"residue":456},{"from_index":578,"to_index":996,"sum":173922,"residue":456},{"from_index":996,"to_index":160,"sum":176436,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[160,578],"circle_positions":838,"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":[161,579,997],"clock_positions":[161,579,997],"native_values":[769,350,769],"rotation_degrees":46.2200956937799,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,350,769],"beta":{"interval_sums":[175630,173954,176468],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":161,"to_index":579,"sum":175630,"residue":488},{"from_index":579,"to_index":997,"sum":173954,"residue":488},{"from_index":997,"to_index":161,"sum":176468,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[161,579],"circle_positions":838,"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":[162,580,998],"clock_positions":[162,580,998],"native_values":[732,313,313],"rotation_degrees":46.50717703349282,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[732,313,313],"beta":{"interval_sums":[175248,174410,176924],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":162,"to_index":580,"sum":175248,"residue":106},{"from_index":580,"to_index":998,"sum":174410,"residue":106},{"from_index":998,"to_index":162,"sum":176924,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[162,580],"circle_positions":838,"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":[163,581,999],"clock_positions":[163,581,999],"native_values":[663,663,244],"rotation_degrees":46.79425837320574,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,663,244],"beta":{"interval_sums":[174898,174060,177412],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":163,"to_index":581,"sum":174898,"residue":594},{"from_index":581,"to_index":999,"sum":174060,"residue":594},{"from_index":999,"to_index":163,"sum":177412,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[163,581],"circle_positions":838,"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":[164,582,1000],"clock_positions":[164,582,1000],"native_values":[557,138,557],"rotation_degrees":47.08133971291866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,138,557],"beta":{"interval_sums":[175004,174166,177518],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":164,"to_index":582,"sum":175004,"residue":700},{"from_index":582,"to_index":1000,"sum":174166,"residue":700},{"from_index":1000,"to_index":164,"sum":177518,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[164,582],"circle_positions":838,"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":[165,583,1001],"clock_positions":[165,583,1001],"native_values":[382,801,801],"rotation_degrees":47.36842105263158,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,801,801],"beta":{"interval_sums":[174760,173922,177274],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":165,"to_index":583,"sum":174760,"residue":456},{"from_index":583,"to_index":1001,"sum":173922,"residue":456},{"from_index":1001,"to_index":165,"sum":177274,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[165,583],"circle_positions":838,"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":[166,584,1002],"clock_positions":[166,584,1002],"native_values":[101,101,520],"rotation_degrees":47.655502392344495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,101,520],"beta":{"interval_sums":[175460,174622,177136],"interval_residues":[318,318,318],"display_cycle":[318,318,318],"intervals":[{"from_index":166,"to_index":584,"sum":175460,"residue":318},{"from_index":584,"to_index":1002,"sum":174622,"residue":318},{"from_index":1002,"to_index":166,"sum":177136,"residue":318}],"minimal_cycle":[318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[166,584],"circle_positions":838,"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":[167,585,1003],"clock_positions":[167,585,1003],"native_values":[483,64,483],"rotation_degrees":47.942583732057415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,64,483],"beta":{"interval_sums":[175078,175078,176754],"interval_residues":[774,774,774],"display_cycle":[774,774,774],"intervals":[{"from_index":167,"to_index":585,"sum":175078,"residue":774},{"from_index":585,"to_index":1003,"sum":175078,"residue":774},{"from_index":1003,"to_index":167,"sum":176754,"residue":774}],"minimal_cycle":[774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":774,"start_interval_clock_positions":[167,585],"circle_positions":838,"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":[168,586,1004],"clock_positions":[168,586,1004],"native_values":[584,165,165],"rotation_degrees":48.229665071770334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,165,165],"beta":{"interval_sums":[174558,175396,177072],"interval_residues":[254,254,254],"display_cycle":[254,254,254],"intervals":[{"from_index":168,"to_index":586,"sum":174558,"residue":254},{"from_index":586,"to_index":1004,"sum":175396,"residue":254},{"from_index":1004,"to_index":168,"sum":177072,"residue":254}],"minimal_cycle":[254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[168,586],"circle_positions":838,"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":[169,587,1005],"clock_positions":[169,587,1005],"native_values":[229,229,648],"rotation_degrees":48.516746411483254,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,229,648],"beta":{"interval_sums":[174494,175332,177008],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":169,"to_index":587,"sum":174494,"residue":190},{"from_index":587,"to_index":1005,"sum":175332,"residue":190},{"from_index":1005,"to_index":169,"sum":177008,"residue":190}],"minimal_cycle":[190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[169,587],"circle_positions":838,"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":[170,588,1006],"clock_positions":[170,588,1006],"native_values":[813,394,813],"rotation_degrees":48.803827751196174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[813,394,813],"beta":{"interval_sums":[173910,175586,176424],"interval_residues":[444,444,444],"display_cycle":[444,444,444],"intervals":[{"from_index":170,"to_index":588,"sum":173910,"residue":444},{"from_index":588,"to_index":1006,"sum":175586,"residue":444},{"from_index":1006,"to_index":170,"sum":176424,"residue":444}],"minimal_cycle":[444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[170,588],"circle_positions":838,"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":[171,589,1007],"clock_positions":[171,589,1007],"native_values":[204,623,623],"rotation_degrees":49.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[204,623,623],"beta":{"interval_sums":[174100,175776,176614],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":171,"to_index":589,"sum":174100,"residue":634},{"from_index":589,"to_index":1007,"sum":175776,"residue":634},{"from_index":1007,"to_index":171,"sum":176614,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[171,589],"circle_positions":838,"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":[172,590,1008],"clock_positions":[172,590,1008],"native_values":[179,179,598],"rotation_degrees":49.377990430622006,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,179,598],"beta":{"interval_sums":[174544,176220,176220],"interval_residues":[240,240,240],"display_cycle":[240,240,240],"intervals":[{"from_index":172,"to_index":590,"sum":174544,"residue":240},{"from_index":590,"to_index":1008,"sum":176220,"residue":240},{"from_index":1008,"to_index":172,"sum":176220,"residue":240}],"minimal_cycle":[240],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[172,590],"circle_positions":838,"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":[173,591,1009],"clock_positions":[173,591,1009],"native_values":[383,802,383],"rotation_degrees":49.665071770334926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,802,383],"beta":{"interval_sums":[174340,176016,176016],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":173,"to_index":591,"sum":174340,"residue":36},{"from_index":591,"to_index":1009,"sum":176016,"residue":36},{"from_index":1009,"to_index":173,"sum":176016,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[173,591],"circle_positions":838,"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":[174,592,1010],"clock_positions":[174,592,1010],"native_values":[562,143,143],"rotation_degrees":49.952153110047846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,143,143],"beta":{"interval_sums":[174580,176256,176256],"interval_residues":[276,276,276],"display_cycle":[276,276,276],"intervals":[{"from_index":174,"to_index":592,"sum":174580,"residue":276},{"from_index":592,"to_index":1010,"sum":176256,"residue":276},{"from_index":1010,"to_index":174,"sum":176256,"residue":276}],"minimal_cycle":[276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[174,592],"circle_positions":838,"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":[175,593,1011],"clock_positions":[175,593,1011],"native_values":[107,107,526],"rotation_degrees":50.239234449760765,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,107,526],"beta":{"interval_sums":[174616,176292,176292],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":175,"to_index":593,"sum":174616,"residue":312},{"from_index":593,"to_index":1011,"sum":176292,"residue":312},{"from_index":1011,"to_index":175,"sum":176292,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[175,593],"circle_positions":838,"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":[176,594,1012],"clock_positions":[176,594,1012],"native_values":[669,250,669],"rotation_degrees":50.526315789473685,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,250,669],"beta":{"interval_sums":[174054,176568,175730],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":176,"to_index":594,"sum":174054,"residue":588},{"from_index":594,"to_index":1012,"sum":176568,"residue":588},{"from_index":1012,"to_index":176,"sum":175730,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[176,594],"circle_positions":838,"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":[177,595,1013],"clock_positions":[177,595,1013],"native_values":[776,357,357],"rotation_degrees":50.813397129186605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[776,357,357],"beta":{"interval_sums":[173528,176880,176042],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":177,"to_index":595,"sum":173528,"residue":62},{"from_index":595,"to_index":1013,"sum":176880,"residue":62},{"from_index":1013,"to_index":177,"sum":176042,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[177,595],"circle_positions":838,"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":[178,596,1014],"clock_positions":[178,596,1014],"native_values":[607,607,188],"rotation_degrees":51.100478468899524,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[607,607,188],"beta":{"interval_sums":[173278,176630,176630],"interval_residues":[650,650,650],"display_cycle":[650,650,650],"intervals":[{"from_index":178,"to_index":596,"sum":173278,"residue":650},{"from_index":596,"to_index":1014,"sum":176630,"residue":650},{"from_index":1014,"to_index":178,"sum":176630,"residue":650}],"minimal_cycle":[650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[178,596],"circle_positions":838,"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":[179,597,1015],"clock_positions":[179,597,1015],"native_values":[545,126,545],"rotation_degrees":51.38755980861244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,126,545],"beta":{"interval_sums":[173340,176692,176692],"interval_residues":[712,712,712],"display_cycle":[712,712,712],"intervals":[{"from_index":179,"to_index":597,"sum":173340,"residue":712},{"from_index":597,"to_index":1015,"sum":176692,"residue":712},{"from_index":1015,"to_index":179,"sum":176692,"residue":712}],"minimal_cycle":[712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[179,597],"circle_positions":838,"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":[180,598,1016],"clock_positions":[180,598,1016],"native_values":[314,733,733],"rotation_degrees":51.67464114832536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,733,733],"beta":{"interval_sums":[173152,176504,176504],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":180,"to_index":598,"sum":173152,"residue":524},{"from_index":598,"to_index":1016,"sum":176504,"residue":524},{"from_index":1016,"to_index":180,"sum":176504,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[180,598],"circle_positions":838,"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":[181,599,1017],"clock_positions":[181,599,1017],"native_values":[21,21,440],"rotation_degrees":51.961722488038276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,21,440],"beta":{"interval_sums":[173864,177216,176378],"interval_residues":[398,398,398],"display_cycle":[398,398,398],"intervals":[{"from_index":181,"to_index":599,"sum":173864,"residue":398},{"from_index":599,"to_index":1017,"sum":177216,"residue":398},{"from_index":1017,"to_index":181,"sum":176378,"residue":398}],"minimal_cycle":[398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[181,599],"circle_positions":838,"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":[182,600,1018],"clock_positions":[182,600,1018],"native_values":[335,754,335],"rotation_degrees":52.248803827751196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,754,335],"beta":{"interval_sums":[173550,176902,176064],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":182,"to_index":600,"sum":173550,"residue":84},{"from_index":600,"to_index":1018,"sum":176902,"residue":84},{"from_index":1018,"to_index":182,"sum":176064,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[182,600],"circle_positions":838,"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":[183,601,1019],"clock_positions":[183,601,1019],"native_values":[356,775,775],"rotation_degrees":52.535885167464116,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,775,775],"beta":{"interval_sums":[173948,176462,175624],"interval_residues":[482,482,482],"display_cycle":[482,482,482],"intervals":[{"from_index":183,"to_index":601,"sum":173948,"residue":482},{"from_index":601,"to_index":1019,"sum":176462,"residue":482},{"from_index":1019,"to_index":183,"sum":175624,"residue":482}],"minimal_cycle":[482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[183,601],"circle_positions":838,"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":[184,602,1020],"clock_positions":[184,602,1020],"native_values":[691,691,272],"rotation_degrees":52.822966507177036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,691,272],"beta":{"interval_sums":[174032,176546,175708],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":184,"to_index":602,"sum":174032,"residue":566},{"from_index":602,"to_index":1020,"sum":176546,"residue":566},{"from_index":1020,"to_index":184,"sum":175708,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[184,602],"circle_positions":838,"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":[185,603,1021],"clock_positions":[185,603,1021],"native_values":[209,628,209],"rotation_degrees":53.110047846889955,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,628,209],"beta":{"interval_sums":[174514,176190,176190],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":185,"to_index":603,"sum":174514,"residue":210},{"from_index":603,"to_index":1021,"sum":176190,"residue":210},{"from_index":1021,"to_index":185,"sum":176190,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[185,603],"circle_positions":838,"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":[186,604,1022],"clock_positions":[186,604,1022],"native_values":[62,481,481],"rotation_degrees":53.39712918660287,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,481,481],"beta":{"interval_sums":[175080,175918,175918],"interval_residues":[776,776,776],"display_cycle":[776,776,776],"intervals":[{"from_index":186,"to_index":604,"sum":175080,"residue":776},{"from_index":604,"to_index":1022,"sum":175918,"residue":776},{"from_index":1022,"to_index":186,"sum":175918,"residue":776}],"minimal_cycle":[776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[186,604],"circle_positions":838,"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":[187,605,1023],"clock_positions":[187,605,1023],"native_values":[271,271,690],"rotation_degrees":53.68421052631579,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,271,690],"beta":{"interval_sums":[175290,176128,175290],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":187,"to_index":605,"sum":175290,"residue":148},{"from_index":605,"to_index":1023,"sum":176128,"residue":148},{"from_index":1023,"to_index":187,"sum":175290,"residue":148}],"minimal_cycle":[148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[187,605],"circle_positions":838,"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":[188,606,1024],"clock_positions":[188,606,1024],"native_values":[333,752,333],"rotation_degrees":53.97129186602871,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,752,333],"beta":{"interval_sums":[175228,176066,175228],"interval_residues":[86,86,86],"display_cycle":[86,86,86],"intervals":[{"from_index":188,"to_index":606,"sum":175228,"residue":86},{"from_index":606,"to_index":1024,"sum":176066,"residue":86},{"from_index":1024,"to_index":188,"sum":175228,"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":[188,606],"circle_positions":838,"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":[189,607,1025],"clock_positions":[189,607,1025],"native_values":[604,185,185],"rotation_degrees":54.25837320574163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,185,185],"beta":{"interval_sums":[175376,176214,175376],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":189,"to_index":607,"sum":175376,"residue":234},{"from_index":607,"to_index":1025,"sum":176214,"residue":234},{"from_index":1025,"to_index":189,"sum":175376,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[189,607],"circle_positions":838,"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":[190,608,1026],"clock_positions":[190,608,1026],"native_values":[99,99,518],"rotation_degrees":54.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,99,518],"beta":{"interval_sums":[175462,176300,175462],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":190,"to_index":608,"sum":175462,"residue":320},{"from_index":608,"to_index":1026,"sum":176300,"residue":320},{"from_index":1026,"to_index":190,"sum":175462,"residue":320}],"minimal_cycle":[320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[190,608],"circle_positions":838,"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":[191,609,1027],"clock_positions":[191,609,1027],"native_values":[703,284,703],"rotation_degrees":54.83253588516747,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,284,703],"beta":{"interval_sums":[174858,176534,174858],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":191,"to_index":609,"sum":174858,"residue":554},{"from_index":609,"to_index":1027,"sum":176534,"residue":554},{"from_index":1027,"to_index":191,"sum":174858,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[191,609],"circle_positions":838,"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":[192,610,1028],"clock_positions":[192,610,1028],"native_values":[802,383,383],"rotation_degrees":55.119617224880386,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[802,383,383],"beta":{"interval_sums":[174340,176854,175178],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":192,"to_index":610,"sum":174340,"residue":36},{"from_index":610,"to_index":1028,"sum":176854,"residue":36},{"from_index":1028,"to_index":192,"sum":175178,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[192,610],"circle_positions":838,"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":[193,611,1029],"clock_positions":[193,611,1029],"native_values":[667,667,248],"rotation_degrees":55.4066985645933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,667,248],"beta":{"interval_sums":[174056,176570,175732],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":193,"to_index":611,"sum":174056,"residue":590},{"from_index":611,"to_index":1029,"sum":176570,"residue":590},{"from_index":1029,"to_index":193,"sum":175732,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[193,611],"circle_positions":838,"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":[194,612,1030],"clock_positions":[194,612,1030],"native_values":[631,212,631],"rotation_degrees":55.69377990430622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,212,631],"beta":{"interval_sums":[174092,176606,175768],"interval_residues":[626,626,626],"display_cycle":[626,626,626],"intervals":[{"from_index":194,"to_index":612,"sum":174092,"residue":626},{"from_index":612,"to_index":1030,"sum":176606,"residue":626},{"from_index":1030,"to_index":194,"sum":175768,"residue":626}],"minimal_cycle":[626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[194,612],"circle_positions":838,"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":[195,613,1031],"clock_positions":[195,613,1031],"native_values":[460,41,41],"rotation_degrees":55.98086124401914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,41,41],"beta":{"interval_sums":[173844,177196,176358],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":195,"to_index":613,"sum":173844,"residue":378},{"from_index":613,"to_index":1031,"sum":177196,"residue":378},{"from_index":1031,"to_index":195,"sum":176358,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[195,613],"circle_positions":838,"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":[196,614,1032],"clock_positions":[196,614,1032],"native_values":[253,253,672],"rotation_degrees":56.26794258373206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,253,672],"beta":{"interval_sums":[173632,176984,176146],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":196,"to_index":614,"sum":173632,"residue":166},{"from_index":614,"to_index":1032,"sum":176984,"residue":166},{"from_index":1032,"to_index":196,"sum":176146,"residue":166}],"minimal_cycle":[166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[196,614],"circle_positions":838,"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":[197,615,1033],"clock_positions":[197,615,1033],"native_values":[713,294,713],"rotation_degrees":56.55502392344498,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,294,713],"beta":{"interval_sums":[173172,177362,175686],"interval_residues":[544,544,544],"display_cycle":[544,544,544],"intervals":[{"from_index":197,"to_index":615,"sum":173172,"residue":544},{"from_index":615,"to_index":1033,"sum":177362,"residue":544},{"from_index":1033,"to_index":197,"sum":175686,"residue":544}],"minimal_cycle":[544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":544,"start_interval_clock_positions":[197,615],"circle_positions":838,"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":[198,616,1034],"clock_positions":[198,616,1034],"native_values":[128,547,547],"rotation_degrees":56.8421052631579,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,547,547],"beta":{"interval_sums":[173338,177528,175852],"interval_residues":[710,710,710],"display_cycle":[710,710,710],"intervals":[{"from_index":198,"to_index":616,"sum":173338,"residue":710},{"from_index":616,"to_index":1034,"sum":177528,"residue":710},{"from_index":1034,"to_index":198,"sum":175852,"residue":710}],"minimal_cycle":[710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[198,616],"circle_positions":838,"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":[199,617,1035],"clock_positions":[199,617,1035],"native_values":[3,3,422],"rotation_degrees":57.12918660287081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,422],"beta":{"interval_sums":[173882,178072,175558],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":199,"to_index":617,"sum":173882,"residue":416},{"from_index":617,"to_index":1035,"sum":178072,"residue":416},{"from_index":1035,"to_index":199,"sum":175558,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[199,617],"circle_positions":838,"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":[200,618,1036],"clock_positions":[200,618,1036],"native_values":[131,550,131],"rotation_degrees":57.41626794258373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,550,131],"beta":{"interval_sums":[173754,177944,175430],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":200,"to_index":618,"sum":173754,"residue":288},{"from_index":618,"to_index":1036,"sum":177944,"residue":288},{"from_index":1036,"to_index":200,"sum":175430,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[200,618],"circle_positions":838,"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":[201,619,1037],"clock_positions":[201,619,1037],"native_values":[134,553,553],"rotation_degrees":57.70334928229665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,553,553],"beta":{"interval_sums":[174170,177522,175008],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":201,"to_index":619,"sum":174170,"residue":704},{"from_index":619,"to_index":1037,"sum":177522,"residue":704},{"from_index":1037,"to_index":201,"sum":175008,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[201,619],"circle_positions":838,"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":[202,620,1038],"clock_positions":[202,620,1038],"native_values":[265,265,684],"rotation_degrees":57.99043062200957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,265,684],"beta":{"interval_sums":[174458,177810,174458],"interval_residues":[154,154,154],"display_cycle":[154,154,154],"intervals":[{"from_index":202,"to_index":620,"sum":174458,"residue":154},{"from_index":620,"to_index":1038,"sum":177810,"residue":154},{"from_index":1038,"to_index":202,"sum":174458,"residue":154}],"minimal_cycle":[154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[202,620],"circle_positions":838,"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":[203,621,1039],"clock_positions":[203,621,1039],"native_values":[399,818,399],"rotation_degrees":58.27751196172249,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,818,399],"beta":{"interval_sums":[174324,177676,174324],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":203,"to_index":621,"sum":174324,"residue":20},{"from_index":621,"to_index":1039,"sum":177676,"residue":20},{"from_index":1039,"to_index":203,"sum":174324,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[203,621],"circle_positions":838,"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":[204,622,1040],"clock_positions":[204,622,1040],"native_values":[664,245,245],"rotation_degrees":58.56459330143541,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[664,245,245],"beta":{"interval_sums":[174478,177830,174478],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":204,"to_index":622,"sum":174478,"residue":174},{"from_index":622,"to_index":1040,"sum":177830,"residue":174},{"from_index":1040,"to_index":204,"sum":174478,"residue":174}],"minimal_cycle":[174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[204,622],"circle_positions":838,"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":[205,623,1041],"clock_positions":[205,623,1041],"native_values":[225,225,644],"rotation_degrees":58.85167464114833,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,225,644],"beta":{"interval_sums":[174498,177850,174498],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":205,"to_index":623,"sum":174498,"residue":194},{"from_index":623,"to_index":1041,"sum":177850,"residue":194},{"from_index":1041,"to_index":205,"sum":174498,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[205,623],"circle_positions":838,"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":[206,624,1042],"clock_positions":[206,624,1042],"native_values":[51,470,51],"rotation_degrees":59.13875598086124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,470,51],"beta":{"interval_sums":[174672,178024,174672],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":206,"to_index":624,"sum":174672,"residue":368},{"from_index":624,"to_index":1042,"sum":178024,"residue":368},{"from_index":1042,"to_index":206,"sum":174672,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[206,624],"circle_positions":838,"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":[207,625,1043],"clock_positions":[207,625,1043],"native_values":[276,695,695],"rotation_degrees":59.42583732057416,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,695,695],"beta":{"interval_sums":[174866,177380,174028],"interval_residues":[562,562,562],"display_cycle":[562,562,562],"intervals":[{"from_index":207,"to_index":625,"sum":174866,"residue":562},{"from_index":625,"to_index":1043,"sum":177380,"residue":562},{"from_index":1043,"to_index":207,"sum":174028,"residue":562}],"minimal_cycle":[562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[207,625],"circle_positions":838,"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":[208,626,1044],"clock_positions":[208,626,1044],"native_values":[327,327,746],"rotation_degrees":59.71291866028708,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,327,746],"beta":{"interval_sums":[175234,177748,173558],"interval_residues":[92,92,92],"display_cycle":[92,92,92],"intervals":[{"from_index":208,"to_index":626,"sum":175234,"residue":92},{"from_index":626,"to_index":1044,"sum":177748,"residue":92},{"from_index":1044,"to_index":208,"sum":173558,"residue":92}],"minimal_cycle":[92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[208,626],"circle_positions":838,"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":[209,627,1045],"clock_positions":[209,627,1045],"native_values":[603,184,603],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,184,603],"beta":{"interval_sums":[174958,178310,173282],"interval_residues":[654,654,654],"display_cycle":[654,654,654],"intervals":[{"from_index":209,"to_index":627,"sum":174958,"residue":654},{"from_index":627,"to_index":1045,"sum":178310,"residue":654},{"from_index":1045,"to_index":209,"sum":173282,"residue":654}],"minimal_cycle":[654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[209,627],"circle_positions":838,"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":[210,628,1046],"clock_positions":[210,628,1046],"native_values":[92,511,511],"rotation_degrees":60.28708133971292,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,511,511],"beta":{"interval_sums":[175050,178402,173374],"interval_residues":[746,746,746],"display_cycle":[746,746,746],"intervals":[{"from_index":210,"to_index":628,"sum":175050,"residue":746},{"from_index":628,"to_index":1046,"sum":178402,"residue":746},{"from_index":1046,"to_index":210,"sum":173374,"residue":746}],"minimal_cycle":[746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[210,628],"circle_positions":838,"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":[211,629,1047],"clock_positions":[211,629,1047],"native_values":[695,695,276],"rotation_degrees":60.57416267942584,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,695,276],"beta":{"interval_sums":[174866,178218,173190],"interval_residues":[562,562,562],"display_cycle":[562,562,562],"intervals":[{"from_index":211,"to_index":629,"sum":174866,"residue":562},{"from_index":629,"to_index":1047,"sum":178218,"residue":562},{"from_index":1047,"to_index":211,"sum":173190,"residue":562}],"minimal_cycle":[562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[211,629],"circle_positions":838,"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":[212,630,1048],"clock_positions":[212,630,1048],"native_values":[787,368,787],"rotation_degrees":60.86124401913876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[787,368,787],"beta":{"interval_sums":[174774,178126,173098],"interval_residues":[470,470,470],"display_cycle":[470,470,470],"intervals":[{"from_index":212,"to_index":630,"sum":174774,"residue":470},{"from_index":630,"to_index":1048,"sum":178126,"residue":470},{"from_index":1048,"to_index":212,"sum":173098,"residue":470}],"minimal_cycle":[470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[212,630],"circle_positions":838,"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":[213,631,1049],"clock_positions":[213,631,1049],"native_values":[644,225,225],"rotation_degrees":61.14832535885167,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,225,225],"beta":{"interval_sums":[174498,178688,173660],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":213,"to_index":631,"sum":174498,"residue":194},{"from_index":631,"to_index":1049,"sum":178688,"residue":194},{"from_index":1049,"to_index":213,"sum":173660,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[213,631],"circle_positions":838,"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":[214,632,1050],"clock_positions":[214,632,1050],"native_values":[593,593,174],"rotation_degrees":61.43540669856459,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,593,174],"beta":{"interval_sums":[174130,178320,174130],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":214,"to_index":632,"sum":174130,"residue":664},{"from_index":632,"to_index":1050,"sum":178320,"residue":664},{"from_index":1050,"to_index":214,"sum":174130,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[214,632],"circle_positions":838,"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":[215,633,1051],"clock_positions":[215,633,1051],"native_values":[399,818,399],"rotation_degrees":61.72248803827751,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,818,399],"beta":{"interval_sums":[174324,177676,174324],"interval_residues":[20,20,20],"display_cycle":[20,20,20],"intervals":[{"from_index":215,"to_index":633,"sum":174324,"residue":20},{"from_index":633,"to_index":1051,"sum":177676,"residue":20},{"from_index":1051,"to_index":215,"sum":174324,"residue":20}],"minimal_cycle":[20],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[215,633],"circle_positions":838,"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":[216,634,1052],"clock_positions":[216,634,1052],"native_values":[154,573,573],"rotation_degrees":62.00956937799043,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[154,573,573],"beta":{"interval_sums":[174988,177502,174150],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":216,"to_index":634,"sum":174988,"residue":684},{"from_index":634,"to_index":1052,"sum":177502,"residue":684},{"from_index":1052,"to_index":216,"sum":174150,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[216,634],"circle_positions":838,"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":[217,635,1053],"clock_positions":[217,635,1053],"native_values":[553,553,134],"rotation_degrees":62.29665071770335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,553,134],"beta":{"interval_sums":[175008,177522,174170],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":217,"to_index":635,"sum":175008,"residue":704},{"from_index":635,"to_index":1053,"sum":177522,"residue":704},{"from_index":1053,"to_index":217,"sum":174170,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[217,635],"circle_positions":838,"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":[218,636,1054],"clock_positions":[218,636,1054],"native_values":[707,288,707],"rotation_degrees":62.58373205741627,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,288,707],"beta":{"interval_sums":[174854,177368,174016],"interval_residues":[550,550,550],"display_cycle":[550,550,550],"intervals":[{"from_index":218,"to_index":636,"sum":174854,"residue":550},{"from_index":636,"to_index":1054,"sum":177368,"residue":550},{"from_index":1054,"to_index":218,"sum":174016,"residue":550}],"minimal_cycle":[550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[218,636],"circle_positions":838,"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":[219,637,1055],"clock_positions":[219,637,1055],"native_values":[422,3,3],"rotation_degrees":62.87081339712919,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,3,3],"beta":{"interval_sums":[174720,178072,174720],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":219,"to_index":637,"sum":174720,"residue":416},{"from_index":637,"to_index":1055,"sum":178072,"residue":416},{"from_index":1055,"to_index":219,"sum":174720,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[219,637],"circle_positions":838,"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":[220,638,1056],"clock_positions":[220,638,1056],"native_values":[291,291,710],"rotation_degrees":63.1578947368421,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,291,710],"beta":{"interval_sums":[174432,177784,174432],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":220,"to_index":638,"sum":174432,"residue":128},{"from_index":638,"to_index":1056,"sum":177784,"residue":128},{"from_index":1056,"to_index":220,"sum":174432,"residue":128}],"minimal_cycle":[128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[220,638],"circle_positions":838,"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":[221,639,1057],"clock_positions":[221,639,1057],"native_values":[713,294,713],"rotation_degrees":63.44497607655502,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,294,713],"beta":{"interval_sums":[174010,178200,174010],"interval_residues":[544,544,544],"display_cycle":[544,544,544],"intervals":[{"from_index":221,"to_index":639,"sum":174010,"residue":544},{"from_index":639,"to_index":1057,"sum":178200,"residue":544},{"from_index":1057,"to_index":221,"sum":174010,"residue":544}],"minimal_cycle":[544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":544,"start_interval_clock_positions":[221,639],"circle_positions":838,"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":[222,640,1058],"clock_positions":[222,640,1058],"native_values":[166,585,585],"rotation_degrees":63.73205741626794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[166,585,585],"beta":{"interval_sums":[174138,178328,174138],"interval_residues":[672,672,672],"display_cycle":[672,672,672],"intervals":[{"from_index":222,"to_index":640,"sum":174138,"residue":672},{"from_index":640,"to_index":1058,"sum":178328,"residue":672},{"from_index":1058,"to_index":222,"sum":174138,"residue":672}],"minimal_cycle":[672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[222,640],"circle_positions":838,"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":[223,641,1059],"clock_positions":[223,641,1059],"native_values":[41,41,460],"rotation_degrees":64.01913875598086,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,41,460],"beta":{"interval_sums":[174682,178872,173844],"interval_residues":[378,378,378],"display_cycle":[378,378,378],"intervals":[{"from_index":223,"to_index":641,"sum":174682,"residue":378},{"from_index":641,"to_index":1059,"sum":178872,"residue":378},{"from_index":1059,"to_index":223,"sum":173844,"residue":378}],"minimal_cycle":[378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[223,641],"circle_positions":838,"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":[224,642,1060],"clock_positions":[224,642,1060],"native_values":[207,626,207],"rotation_degrees":64.30622009569377,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,626,207],"beta":{"interval_sums":[174516,178706,173678],"interval_residues":[212,212,212],"display_cycle":[212,212,212],"intervals":[{"from_index":224,"to_index":642,"sum":174516,"residue":212},{"from_index":642,"to_index":1060,"sum":178706,"residue":212},{"from_index":1060,"to_index":224,"sum":173678,"residue":212}],"minimal_cycle":[212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[224,642],"circle_positions":838,"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":[225,643,1061],"clock_positions":[225,643,1061],"native_values":[248,667,667],"rotation_degrees":64.5933014354067,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,667,667],"beta":{"interval_sums":[174894,178246,173218],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":225,"to_index":643,"sum":174894,"residue":590},{"from_index":643,"to_index":1061,"sum":178246,"residue":590},{"from_index":1061,"to_index":225,"sum":173218,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[225,643],"circle_positions":838,"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":[226,644,1062],"clock_positions":[226,644,1062],"native_values":[455,455,36],"rotation_degrees":64.88038277511961,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,455,36],"beta":{"interval_sums":[175106,178458,173430],"interval_residues":[802,802,802],"display_cycle":[802,802,802],"intervals":[{"from_index":226,"to_index":644,"sum":175106,"residue":802},{"from_index":644,"to_index":1062,"sum":178458,"residue":802},{"from_index":1062,"to_index":226,"sum":173430,"residue":802}],"minimal_cycle":[802],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":802,"start_interval_clock_positions":[226,644],"circle_positions":838,"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":[227,645,1063],"clock_positions":[227,645,1063],"native_values":[703,284,703],"rotation_degrees":65.16746411483254,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,284,703],"beta":{"interval_sums":[174858,178210,173182],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":227,"to_index":645,"sum":174858,"residue":554},{"from_index":645,"to_index":1063,"sum":178210,"residue":554},{"from_index":1063,"to_index":227,"sum":173182,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[227,645],"circle_positions":838,"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":[228,646,1064],"clock_positions":[228,646,1064],"native_values":[320,739,739],"rotation_degrees":65.45454545454545,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,739,739],"beta":{"interval_sums":[174822,178174,173146],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":228,"to_index":646,"sum":174822,"residue":518},{"from_index":646,"to_index":1064,"sum":178174,"residue":518},{"from_index":1064,"to_index":228,"sum":173146,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[228,646],"circle_positions":838,"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":[229,647,1065],"clock_positions":[229,647,1065],"native_values":[185,185,604],"rotation_degrees":65.74162679425838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,185,604],"beta":{"interval_sums":[175376,178728,172862],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":229,"to_index":647,"sum":175376,"residue":234},{"from_index":647,"to_index":1065,"sum":178728,"residue":234},{"from_index":1065,"to_index":229,"sum":172862,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[229,647],"circle_positions":838,"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":[230,648,1066],"clock_positions":[230,648,1066],"native_values":[505,86,505],"rotation_degrees":66.02870813397129,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,86,505],"beta":{"interval_sums":[175056,179246,172542],"interval_residues":[752,752,752],"display_cycle":[752,752,752],"intervals":[{"from_index":230,"to_index":648,"sum":175056,"residue":752},{"from_index":648,"to_index":1066,"sum":179246,"residue":752},{"from_index":1066,"to_index":230,"sum":172542,"residue":752}],"minimal_cycle":[752],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":752,"start_interval_clock_positions":[230,648],"circle_positions":838,"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":[231,649,1067],"clock_positions":[231,649,1067],"native_values":[690,271,271],"rotation_degrees":66.3157894736842,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[690,271,271],"beta":{"interval_sums":[174452,179480,172776],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":231,"to_index":649,"sum":174452,"residue":148},{"from_index":649,"to_index":1067,"sum":179480,"residue":148},{"from_index":1067,"to_index":231,"sum":172776,"residue":148}],"minimal_cycle":[148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[231,649],"circle_positions":838,"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":[232,650,1068],"clock_positions":[232,650,1068],"native_values":[357,357,776],"rotation_degrees":66.60287081339713,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,357,776],"beta":{"interval_sums":[174366,179394,172690],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":232,"to_index":650,"sum":174366,"residue":62},{"from_index":650,"to_index":1068,"sum":179394,"residue":62},{"from_index":1068,"to_index":232,"sum":172690,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[232,650],"circle_positions":838,"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":[233,651,1069],"clock_positions":[233,651,1069],"native_values":[209,628,209],"rotation_degrees":66.88995215311004,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,628,209],"beta":{"interval_sums":[174514,179542,172838],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":233,"to_index":651,"sum":174514,"residue":210},{"from_index":651,"to_index":1069,"sum":179542,"residue":210},{"from_index":1069,"to_index":233,"sum":172838,"residue":210}],"minimal_cycle":[210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[233,651],"circle_positions":838,"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":[234,652,1070],"clock_positions":[234,652,1070],"native_values":[566,147,147],"rotation_degrees":67.17703349282297,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,147,147],"beta":{"interval_sums":[174576,179604,172900],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":234,"to_index":652,"sum":174576,"residue":272},{"from_index":652,"to_index":1070,"sum":179604,"residue":272},{"from_index":1070,"to_index":234,"sum":172900,"residue":272}],"minimal_cycle":[272],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[234,652],"circle_positions":838,"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":[235,653,1071],"clock_positions":[235,653,1071],"native_values":[775,775,356],"rotation_degrees":67.46411483253588,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[775,775,356],"beta":{"interval_sums":[173948,178976,173110],"interval_residues":[482,482,482],"display_cycle":[482,482,482],"intervals":[{"from_index":235,"to_index":653,"sum":173948,"residue":482},{"from_index":653,"to_index":1071,"sum":178976,"residue":482},{"from_index":1071,"to_index":235,"sum":173110,"residue":482}],"minimal_cycle":[482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[235,653],"circle_positions":838,"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":[236,654,1072],"clock_positions":[236,654,1072],"native_values":[503,84,503],"rotation_degrees":67.7511961722488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,84,503],"beta":{"interval_sums":[174220,179248,173382],"interval_residues":[754,754,754],"display_cycle":[754,754,754],"intervals":[{"from_index":236,"to_index":654,"sum":174220,"residue":754},{"from_index":654,"to_index":1072,"sum":179248,"residue":754},{"from_index":1072,"to_index":236,"sum":173382,"residue":754}],"minimal_cycle":[754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":754,"start_interval_clock_positions":[236,654],"circle_positions":838,"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":[237,655,1073],"clock_positions":[237,655,1073],"native_values":[440,21,21],"rotation_degrees":68.03827751196172,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,21,21],"beta":{"interval_sums":[173864,179730,173864],"interval_residues":[398,398,398],"display_cycle":[398,398,398],"intervals":[{"from_index":237,"to_index":655,"sum":173864,"residue":398},{"from_index":655,"to_index":1073,"sum":179730,"residue":398},{"from_index":1073,"to_index":237,"sum":173864,"residue":398}],"minimal_cycle":[398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[237,655],"circle_positions":838,"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":[238,656,1074],"clock_positions":[238,656,1074],"native_values":[105,105,524],"rotation_degrees":68.32535885167464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,105,524],"beta":{"interval_sums":[173780,179646,173780],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":238,"to_index":656,"sum":173780,"residue":314},{"from_index":656,"to_index":1074,"sum":179646,"residue":314},{"from_index":1074,"to_index":238,"sum":173780,"residue":314}],"minimal_cycle":[314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[238,656],"circle_positions":838,"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":[239,657,1075],"clock_positions":[239,657,1075],"native_values":[545,126,545],"rotation_degrees":68.61244019138756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,126,545],"beta":{"interval_sums":[173340,180044,173340],"interval_residues":[712,712,712],"display_cycle":[712,712,712],"intervals":[{"from_index":239,"to_index":657,"sum":173340,"residue":712},{"from_index":657,"to_index":1075,"sum":180044,"residue":712},{"from_index":1075,"to_index":239,"sum":173340,"residue":712}],"minimal_cycle":[712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[239,657],"circle_positions":838,"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":[240,658,1076],"clock_positions":[240,658,1076],"native_values":[650,231,231],"rotation_degrees":68.89952153110048,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[650,231,231],"beta":{"interval_sums":[172816,180358,173654],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":240,"to_index":658,"sum":172816,"residue":188},{"from_index":658,"to_index":1076,"sum":180358,"residue":188},{"from_index":1076,"to_index":240,"sum":173654,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[240,658],"circle_positions":838,"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":[241,659,1077],"clock_positions":[241,659,1077],"native_values":[357,357,776],"rotation_degrees":69.1866028708134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,357,776],"beta":{"interval_sums":[172690,180232,173528],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":241,"to_index":659,"sum":172690,"residue":62},{"from_index":659,"to_index":1077,"sum":180232,"residue":62},{"from_index":1077,"to_index":241,"sum":173528,"residue":62}],"minimal_cycle":[62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[241,659],"circle_positions":838,"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":[242,660,1078],"clock_positions":[242,660,1078],"native_values":[169,588,169],"rotation_degrees":69.47368421052632,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,588,169],"beta":{"interval_sums":[172878,180420,173716],"interval_residues":[250,250,250],"display_cycle":[250,250,250],"intervals":[{"from_index":242,"to_index":660,"sum":172878,"residue":250},{"from_index":660,"to_index":1078,"sum":180420,"residue":250},{"from_index":1078,"to_index":242,"sum":173716,"residue":250}],"minimal_cycle":[250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[242,660],"circle_positions":838,"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":[243,661,1079],"clock_positions":[243,661,1079],"native_values":[526,107,107],"rotation_degrees":69.76076555023923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[526,107,107],"beta":{"interval_sums":[172940,180482,173778],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":243,"to_index":661,"sum":172940,"residue":312},{"from_index":661,"to_index":1079,"sum":180482,"residue":312},{"from_index":1079,"to_index":243,"sum":173778,"residue":312}],"minimal_cycle":[312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[243,661],"circle_positions":838,"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":[244,662,1080],"clock_positions":[244,662,1080],"native_values":[695,695,276],"rotation_degrees":70.04784688995215,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,695,276],"beta":{"interval_sums":[172352,179894,174028],"interval_residues":[562,562,562],"display_cycle":[562,562,562],"intervals":[{"from_index":244,"to_index":662,"sum":172352,"residue":562},{"from_index":662,"to_index":1080,"sum":179894,"residue":562},{"from_index":1080,"to_index":244,"sum":174028,"residue":562}],"minimal_cycle":[562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[244,662],"circle_positions":838,"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":[245,663,1081],"clock_positions":[245,663,1081],"native_values":[383,802,383],"rotation_degrees":70.33492822966507,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,802,383],"beta":{"interval_sums":[172664,179368,174340],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":245,"to_index":663,"sum":172664,"residue":36},{"from_index":663,"to_index":1081,"sum":179368,"residue":36},{"from_index":1081,"to_index":245,"sum":174340,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[245,663],"circle_positions":838,"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":[246,664,1082],"clock_positions":[246,664,1082],"native_values":[240,659,659],"rotation_degrees":70.622009569378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[240,659,659],"beta":{"interval_sums":[173226,179092,174064],"interval_residues":[598,598,598],"display_cycle":[598,598,598],"intervals":[{"from_index":246,"to_index":664,"sum":173226,"residue":598},{"from_index":664,"to_index":1082,"sum":179092,"residue":598},{"from_index":1082,"to_index":246,"sum":174064,"residue":598}],"minimal_cycle":[598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[246,664],"circle_positions":838,"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":[247,665,1083],"clock_positions":[247,665,1083],"native_values":[623,623,204],"rotation_degrees":70.9090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,623,204],"beta":{"interval_sums":[173262,179128,174100],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":247,"to_index":665,"sum":173262,"residue":634},{"from_index":665,"to_index":1083,"sum":179128,"residue":634},{"from_index":1083,"to_index":247,"sum":174100,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[247,665],"circle_positions":838,"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":[248,666,1084],"clock_positions":[248,666,1084],"native_values":[25,444,25],"rotation_degrees":71.19617224880383,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,444,25],"beta":{"interval_sums":[173860,178888,174698],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":248,"to_index":666,"sum":173860,"residue":394},{"from_index":666,"to_index":1084,"sum":178888,"residue":394},{"from_index":1084,"to_index":248,"sum":174698,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[248,666],"circle_positions":838,"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":[249,667,1085],"clock_positions":[249,667,1085],"native_values":[648,229,229],"rotation_degrees":71.48325358851675,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[648,229,229],"beta":{"interval_sums":[173656,178684,174494],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":249,"to_index":667,"sum":173656,"residue":190},{"from_index":667,"to_index":1085,"sum":178684,"residue":190},{"from_index":1085,"to_index":249,"sum":174494,"residue":190}],"minimal_cycle":[190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[249,667],"circle_positions":838,"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":[250,668,1086],"clock_positions":[250,668,1086],"native_values":[673,673,254],"rotation_degrees":71.77033492822966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,673,254],"beta":{"interval_sums":[173212,178240,174888],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":250,"to_index":668,"sum":173212,"residue":584},{"from_index":668,"to_index":1086,"sum":178240,"residue":584},{"from_index":1086,"to_index":250,"sum":174888,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[250,668],"circle_positions":838,"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":[251,669,1087],"clock_positions":[251,669,1087],"native_values":[483,64,483],"rotation_degrees":72.05741626794259,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,64,483],"beta":{"interval_sums":[173402,178430,175078],"interval_residues":[774,774,774],"display_cycle":[774,774,774],"intervals":[{"from_index":251,"to_index":669,"sum":173402,"residue":774},{"from_index":669,"to_index":1087,"sum":178430,"residue":774},{"from_index":1087,"to_index":251,"sum":175078,"residue":774}],"minimal_cycle":[774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":774,"start_interval_clock_positions":[251,669],"circle_positions":838,"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":[252,670,1088],"clock_positions":[252,670,1088],"native_values":[318,737,737],"rotation_degrees":72.3444976076555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[318,737,737],"beta":{"interval_sums":[173148,178176,174824],"interval_residues":[520,520,520],"display_cycle":[520,520,520],"intervals":[{"from_index":252,"to_index":670,"sum":173148,"residue":520},{"from_index":670,"to_index":1088,"sum":178176,"residue":520},{"from_index":1088,"to_index":252,"sum":174824,"residue":520}],"minimal_cycle":[520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[252,670],"circle_positions":838,"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":[253,671,1089],"clock_positions":[253,671,1089],"native_values":[801,801,382],"rotation_degrees":72.63157894736842,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[801,801,382],"beta":{"interval_sums":[173084,178112,174760],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":253,"to_index":671,"sum":173084,"residue":456},{"from_index":671,"to_index":1089,"sum":178112,"residue":456},{"from_index":1089,"to_index":253,"sum":174760,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[253,671],"circle_positions":838,"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":[254,672,1090],"clock_positions":[254,672,1090],"native_values":[281,700,281],"rotation_degrees":72.91866028708134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,700,281],"beta":{"interval_sums":[173604,177794,175280],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":254,"to_index":672,"sum":173604,"residue":138},{"from_index":672,"to_index":1090,"sum":177794,"residue":138},{"from_index":1090,"to_index":254,"sum":175280,"residue":138}],"minimal_cycle":[138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[254,672],"circle_positions":838,"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":[255,673,1091],"clock_positions":[255,673,1091],"native_values":[244,663,663],"rotation_degrees":73.20574162679426,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[244,663,663],"beta":{"interval_sums":[174060,177412,174898],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":255,"to_index":673,"sum":174060,"residue":594},{"from_index":673,"to_index":1091,"sum":177412,"residue":594},{"from_index":1091,"to_index":255,"sum":174898,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[255,673],"circle_positions":838,"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":[256,674,1092],"clock_positions":[256,674,1092],"native_values":[525,525,106],"rotation_degrees":73.49282296650718,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,525,106],"beta":{"interval_sums":[174198,177550,175036],"interval_residues":[732,732,732],"display_cycle":[732,732,732],"intervals":[{"from_index":256,"to_index":674,"sum":174198,"residue":732},{"from_index":674,"to_index":1092,"sum":177550,"residue":732},{"from_index":1092,"to_index":256,"sum":175036,"residue":732}],"minimal_cycle":[732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[256,674],"circle_positions":838,"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":[257,675,1093],"clock_positions":[257,675,1093],"native_values":[769,350,769],"rotation_degrees":73.77990430622009,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,350,769],"beta":{"interval_sums":[173954,177306,174792],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":257,"to_index":675,"sum":173954,"residue":488},{"from_index":675,"to_index":1093,"sum":177306,"residue":488},{"from_index":1093,"to_index":257,"sum":174792,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[257,675],"circle_positions":838,"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":[258,676,1094],"clock_positions":[258,676,1094],"native_values":[456,37,37],"rotation_degrees":74.06698564593302,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,37,37],"beta":{"interval_sums":[173848,178038,175524],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":258,"to_index":676,"sum":173848,"residue":382},{"from_index":676,"to_index":1094,"sum":178038,"residue":382},{"from_index":1094,"to_index":258,"sum":175524,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[258,676],"circle_positions":838,"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":[259,677,1095],"clock_positions":[259,677,1095],"native_values":[387,387,806],"rotation_degrees":74.35406698564593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[387,387,806],"beta":{"interval_sums":[173498,177688,175174],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":259,"to_index":677,"sum":173498,"residue":32},{"from_index":677,"to_index":1095,"sum":177688,"residue":32},{"from_index":1095,"to_index":259,"sum":175174,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[259,677],"circle_positions":838,"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":[260,678,1096],"clock_positions":[260,678,1096],"native_values":[5,424,5],"rotation_degrees":74.64114832535886,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,424,5],"beta":{"interval_sums":[173880,178070,175556],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":260,"to_index":678,"sum":173880,"residue":414},{"from_index":678,"to_index":1096,"sum":178070,"residue":414},{"from_index":1096,"to_index":260,"sum":175556,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[260,678],"circle_positions":838,"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":[261,679,1097],"clock_positions":[261,679,1097],"native_values":[392,811,811],"rotation_degrees":74.92822966507177,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[392,811,811],"beta":{"interval_sums":[173912,177264,174750],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":261,"to_index":679,"sum":173912,"residue":446},{"from_index":679,"to_index":1097,"sum":177264,"residue":446},{"from_index":1097,"to_index":261,"sum":174750,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[261,679],"circle_positions":838,"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":[262,680,1098],"clock_positions":[262,680,1098],"native_values":[397,397,816],"rotation_degrees":75.2153110047847,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,397,816],"beta":{"interval_sums":[174326,177678,174326],"interval_residues":[22,22,22],"display_cycle":[22,22,22],"intervals":[{"from_index":262,"to_index":680,"sum":174326,"residue":22},{"from_index":680,"to_index":1098,"sum":177678,"residue":22},{"from_index":1098,"to_index":262,"sum":174326,"residue":22}],"minimal_cycle":[22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[262,680],"circle_positions":838,"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":[263,681,1099],"clock_positions":[263,681,1099],"native_values":[789,370,789],"rotation_degrees":75.50239234449761,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[789,370,789],"beta":{"interval_sums":[173934,178124,173934],"interval_residues":[468,468,468],"display_cycle":[468,468,468],"intervals":[{"from_index":263,"to_index":681,"sum":173934,"residue":468},{"from_index":681,"to_index":1099,"sum":178124,"residue":468},{"from_index":1099,"to_index":263,"sum":173934,"residue":468}],"minimal_cycle":[468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[263,681],"circle_positions":838,"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":[264,682,1100],"clock_positions":[264,682,1100],"native_values":[348,767,767],"rotation_degrees":75.78947368421052,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,767,767],"beta":{"interval_sums":[173956,178146,173956],"interval_residues":[490,490,490],"display_cycle":[490,490,490],"intervals":[{"from_index":264,"to_index":682,"sum":173956,"residue":490},{"from_index":682,"to_index":1100,"sum":178146,"residue":490},{"from_index":1100,"to_index":264,"sum":173956,"residue":490}],"minimal_cycle":[490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[264,682],"circle_positions":838,"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":[265,683,1101],"clock_positions":[265,683,1101],"native_values":[299,299,718],"rotation_degrees":76.07655502392345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,299,718],"beta":{"interval_sums":[174424,178614,173586],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":265,"to_index":683,"sum":174424,"residue":120},{"from_index":683,"to_index":1101,"sum":178614,"residue":120},{"from_index":1101,"to_index":265,"sum":173586,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[265,683],"circle_positions":838,"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":[266,684,1102],"clock_positions":[266,684,1102],"native_values":[647,228,647],"rotation_degrees":76.36363636363636,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[647,228,647],"beta":{"interval_sums":[174076,179104,173238],"interval_residues":[610,610,610],"display_cycle":[610,610,610],"intervals":[{"from_index":266,"to_index":684,"sum":174076,"residue":610},{"from_index":684,"to_index":1102,"sum":179104,"residue":610},{"from_index":1102,"to_index":266,"sum":173238,"residue":610}],"minimal_cycle":[610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[266,684],"circle_positions":838,"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":[267,685,1103],"clock_positions":[267,685,1103],"native_values":[108,527,527],"rotation_degrees":76.65071770334929,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[108,527,527],"beta":{"interval_sums":[174196,179224,173358],"interval_residues":[730,730,730],"display_cycle":[730,730,730],"intervals":[{"from_index":267,"to_index":685,"sum":174196,"residue":730},{"from_index":685,"to_index":1103,"sum":179224,"residue":730},{"from_index":1103,"to_index":267,"sum":173358,"residue":730}],"minimal_cycle":[730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[267,685],"circle_positions":838,"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":[268,686,1104],"clock_positions":[268,686,1104],"native_values":[755,755,336],"rotation_degrees":76.9377990430622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[755,755,336],"beta":{"interval_sums":[173968,178996,173130],"interval_residues":[502,502,502],"display_cycle":[502,502,502],"intervals":[{"from_index":268,"to_index":686,"sum":173968,"residue":502},{"from_index":686,"to_index":1104,"sum":178996,"residue":502},{"from_index":1104,"to_index":268,"sum":173130,"residue":502}],"minimal_cycle":[502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[268,686],"circle_positions":838,"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":[269,687,1105],"clock_positions":[269,687,1105],"native_values":[25,444,25],"rotation_degrees":77.22488038277513,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,444,25],"beta":{"interval_sums":[174698,178888,173860],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":269,"to_index":687,"sum":174698,"residue":394},{"from_index":687,"to_index":1105,"sum":178888,"residue":394},{"from_index":1105,"to_index":269,"sum":173860,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[269,687],"circle_positions":838,"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":[270,688,1106],"clock_positions":[270,688,1106],"native_values":[780,361,361],"rotation_degrees":77.51196172248804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[780,361,361],"beta":{"interval_sums":[174362,178552,173524],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":270,"to_index":688,"sum":174362,"residue":58},{"from_index":688,"to_index":1106,"sum":178552,"residue":58},{"from_index":1106,"to_index":270,"sum":173524,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[270,688],"circle_positions":838,"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":[271,689,1107],"clock_positions":[271,689,1107],"native_values":[805,805,386],"rotation_degrees":77.79904306220095,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[805,805,386],"beta":{"interval_sums":[173918,178108,173918],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":271,"to_index":689,"sum":173918,"residue":452},{"from_index":689,"to_index":1107,"sum":178108,"residue":452},{"from_index":1107,"to_index":271,"sum":173918,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[271,689],"circle_positions":838,"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":[272,690,1108],"clock_positions":[272,690,1108],"native_values":[747,328,747],"rotation_degrees":78.08612440191388,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[747,328,747],"beta":{"interval_sums":[173976,178166,173976],"interval_residues":[510,510,510],"display_cycle":[510,510,510],"intervals":[{"from_index":272,"to_index":690,"sum":173976,"residue":510},{"from_index":690,"to_index":1108,"sum":178166,"residue":510},{"from_index":1108,"to_index":272,"sum":173976,"residue":510}],"minimal_cycle":[510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[272,690],"circle_positions":838,"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":[273,691,1109],"clock_positions":[273,691,1109],"native_values":[714,295,295],"rotation_degrees":78.37320574162679,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[714,295,295],"beta":{"interval_sums":[173590,178618,174428],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":273,"to_index":691,"sum":173590,"residue":124},{"from_index":691,"to_index":1109,"sum":178618,"residue":124},{"from_index":1109,"to_index":273,"sum":174428,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[273,691],"circle_positions":838,"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":[274,692,1110],"clock_positions":[274,692,1110],"native_values":[623,623,204],"rotation_degrees":78.66028708133972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,623,204],"beta":{"interval_sums":[173262,178290,174938],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":274,"to_index":692,"sum":173262,"residue":634},{"from_index":692,"to_index":1110,"sum":178290,"residue":634},{"from_index":1110,"to_index":274,"sum":174938,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[274,692],"circle_positions":838,"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":[275,693,1111],"clock_positions":[275,693,1111],"native_values":[499,80,499],"rotation_degrees":78.94736842105263,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,80,499],"beta":{"interval_sums":[173386,178414,175062],"interval_residues":[758,758,758],"display_cycle":[758,758,758],"intervals":[{"from_index":275,"to_index":693,"sum":173386,"residue":758},{"from_index":693,"to_index":1111,"sum":178414,"residue":758},{"from_index":1111,"to_index":275,"sum":175062,"residue":758}],"minimal_cycle":[758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":758,"start_interval_clock_positions":[275,693],"circle_positions":838,"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":[276,694,1112],"clock_positions":[276,694,1112],"native_values":[284,703,703],"rotation_degrees":79.23444976076556,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,703,703],"beta":{"interval_sums":[173182,178210,174858],"interval_residues":[554,554,554],"display_cycle":[554,554,554],"intervals":[{"from_index":276,"to_index":694,"sum":173182,"residue":554},{"from_index":694,"to_index":1112,"sum":178210,"residue":554},{"from_index":1112,"to_index":276,"sum":174858,"residue":554}],"minimal_cycle":[554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[276,694],"circle_positions":838,"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":[277,695,1113],"clock_positions":[277,695,1113],"native_values":[783,783,364],"rotation_degrees":79.52153110047847,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[783,783,364],"beta":{"interval_sums":[173102,178130,174778],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":277,"to_index":695,"sum":173102,"residue":474},{"from_index":695,"to_index":1113,"sum":178130,"residue":474},{"from_index":1113,"to_index":277,"sum":174778,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[277,695],"circle_positions":838,"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":[278,696,1114],"clock_positions":[278,696,1114],"native_values":[229,648,229],"rotation_degrees":79.80861244019138,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,648,229],"beta":{"interval_sums":[173656,177846,175332],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":278,"to_index":696,"sum":173656,"residue":190},{"from_index":696,"to_index":1114,"sum":177846,"residue":190},{"from_index":1114,"to_index":278,"sum":175332,"residue":190}],"minimal_cycle":[190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[278,696],"circle_positions":838,"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":[279,697,1115],"clock_positions":[279,697,1115],"native_values":[174,593,593],"rotation_degrees":80.09569377990431,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,593,593],"beta":{"interval_sums":[174130,177482,174968],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":279,"to_index":697,"sum":174130,"residue":664},{"from_index":697,"to_index":1115,"sum":177482,"residue":664},{"from_index":1115,"to_index":279,"sum":174968,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[279,697],"circle_positions":838,"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":[280,698,1116],"clock_positions":[280,698,1116],"native_values":[403,403,822],"rotation_degrees":80.38277511961722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[403,403,822],"beta":{"interval_sums":[174320,177672,174320],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":280,"to_index":698,"sum":174320,"residue":16},{"from_index":698,"to_index":1116,"sum":177672,"residue":16},{"from_index":1116,"to_index":280,"sum":174320,"residue":16}],"minimal_cycle":[16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[280,698],"circle_positions":838,"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":[281,699,1117],"clock_positions":[281,699,1117],"native_values":[577,158,577],"rotation_degrees":80.66985645933015,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,158,577],"beta":{"interval_sums":[174146,178336,174146],"interval_residues":[680,680,680],"display_cycle":[680,680,680],"intervals":[{"from_index":281,"to_index":699,"sum":174146,"residue":680},{"from_index":699,"to_index":1117,"sum":178336,"residue":680},{"from_index":1117,"to_index":281,"sum":174146,"residue":680}],"minimal_cycle":[680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[281,699],"circle_positions":838,"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":[282,700,1118],"clock_positions":[282,700,1118],"native_values":[142,561,561],"rotation_degrees":80.95693779904306,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[142,561,561],"beta":{"interval_sums":[174162,178352,174162],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":282,"to_index":700,"sum":174162,"residue":696},{"from_index":700,"to_index":1118,"sum":178352,"residue":696},{"from_index":1118,"to_index":282,"sum":174162,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[282,700],"circle_positions":838,"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":[283,701,1119],"clock_positions":[283,701,1119],"native_values":[719,719,300],"rotation_degrees":81.24401913875599,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,719,300],"beta":{"interval_sums":[174004,178194,174004],"interval_residues":[538,538,538],"display_cycle":[538,538,538],"intervals":[{"from_index":283,"to_index":701,"sum":174004,"residue":538},{"from_index":701,"to_index":1119,"sum":178194,"residue":538},{"from_index":1119,"to_index":283,"sum":174004,"residue":538}],"minimal_cycle":[538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[283,701],"circle_positions":838,"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":[284,702,1120],"clock_positions":[284,702,1120],"native_values":[23,442,23],"rotation_degrees":81.5311004784689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,442,23],"beta":{"interval_sums":[174700,178052,174700],"interval_residues":[396,396,396],"display_cycle":[396,396,396],"intervals":[{"from_index":284,"to_index":702,"sum":174700,"residue":396},{"from_index":702,"to_index":1120,"sum":178052,"residue":396},{"from_index":1120,"to_index":284,"sum":174700,"residue":396}],"minimal_cycle":[396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[284,702],"circle_positions":838,"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":[285,703,1121],"clock_positions":[285,703,1121],"native_values":[742,323,323],"rotation_degrees":81.81818181818181,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[742,323,323],"beta":{"interval_sums":[174400,177752,174400],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":285,"to_index":703,"sum":174400,"residue":96},{"from_index":703,"to_index":1121,"sum":177752,"residue":96},{"from_index":1121,"to_index":285,"sum":174400,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[285,703],"circle_positions":838,"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":[286,704,1122],"clock_positions":[286,704,1122],"native_values":[765,765,346],"rotation_degrees":82.10526315789474,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,765,346],"beta":{"interval_sums":[173958,177310,174796],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":286,"to_index":704,"sum":173958,"residue":492},{"from_index":704,"to_index":1122,"sum":177310,"residue":492},{"from_index":1122,"to_index":286,"sum":174796,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[286,704],"circle_positions":838,"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":[287,705,1123],"clock_positions":[287,705,1123],"native_values":[669,250,669],"rotation_degrees":82.39234449760765,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,250,669],"beta":{"interval_sums":[174054,177406,174892],"interval_residues":[588,588,588],"display_cycle":[588,588,588],"intervals":[{"from_index":287,"to_index":705,"sum":174054,"residue":588},{"from_index":705,"to_index":1123,"sum":177406,"residue":588},{"from_index":1123,"to_index":287,"sum":174892,"residue":588}],"minimal_cycle":[588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[287,705],"circle_positions":838,"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":[288,706,1124],"clock_positions":[288,706,1124],"native_values":[596,177,177],"rotation_degrees":82.67942583732058,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,177,177],"beta":{"interval_sums":[173708,177898,175384],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":288,"to_index":706,"sum":173708,"residue":242},{"from_index":706,"to_index":1124,"sum":177898,"residue":242},{"from_index":1124,"to_index":288,"sum":175384,"residue":242}],"minimal_cycle":[242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[288,706],"circle_positions":838,"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":[289,707,1125],"clock_positions":[289,707,1125],"native_values":[427,427,8],"rotation_degrees":82.96650717703349,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,427,8],"beta":{"interval_sums":[173458,177648,175972],"interval_residues":[830,830,830],"display_cycle":[830,830,830],"intervals":[{"from_index":289,"to_index":707,"sum":173458,"residue":830},{"from_index":707,"to_index":1125,"sum":177648,"residue":830},{"from_index":1125,"to_index":289,"sum":175972,"residue":830}],"minimal_cycle":[830],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":830,"start_interval_clock_positions":[289,707],"circle_positions":838,"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":[290,708,1126],"clock_positions":[290,708,1126],"native_values":[185,604,185],"rotation_degrees":83.2535885167464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,604,185],"beta":{"interval_sums":[173700,177052,176214],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":290,"to_index":708,"sum":173700,"residue":234},{"from_index":708,"to_index":1126,"sum":177052,"residue":234},{"from_index":1126,"to_index":290,"sum":176214,"residue":234}],"minimal_cycle":[234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[290,708],"circle_positions":838,"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":[291,709,1127],"clock_positions":[291,709,1127],"native_values":[612,193,193],"rotation_degrees":83.54066985645933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[612,193,193],"beta":{"interval_sums":[173692,177044,176206],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":291,"to_index":709,"sum":173692,"residue":226},{"from_index":709,"to_index":1127,"sum":177044,"residue":226},{"from_index":1127,"to_index":291,"sum":176206,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[291,709],"circle_positions":838,"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":[292,710,1128],"clock_positions":[292,710,1128],"native_values":[797,797,378],"rotation_degrees":83.82775119617224,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,797,378],"beta":{"interval_sums":[173088,176440,176440],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":292,"to_index":710,"sum":173088,"residue":460},{"from_index":710,"to_index":1128,"sum":176440,"residue":460},{"from_index":1128,"to_index":292,"sum":176440,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[292,710],"circle_positions":838,"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":[293,711,1129],"clock_positions":[293,711,1129],"native_values":[571,152,571],"rotation_degrees":84.11483253588517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,152,571],"beta":{"interval_sums":[173314,176666,176666],"interval_residues":[686,686,686],"display_cycle":[686,686,686],"intervals":[{"from_index":293,"to_index":711,"sum":173314,"residue":686},{"from_index":711,"to_index":1129,"sum":176666,"residue":686},{"from_index":1129,"to_index":293,"sum":176666,"residue":686}],"minimal_cycle":[686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[293,711],"circle_positions":838,"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":[294,712,1130],"clock_positions":[294,712,1130],"native_values":[530,111,111],"rotation_degrees":84.40191387559808,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,111,111],"beta":{"interval_sums":[172936,177126,177126],"interval_residues":[308,308,308],"display_cycle":[308,308,308],"intervals":[{"from_index":294,"to_index":712,"sum":172936,"residue":308},{"from_index":712,"to_index":1130,"sum":177126,"residue":308},{"from_index":1130,"to_index":294,"sum":177126,"residue":308}],"minimal_cycle":[308],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[294,712],"circle_positions":838,"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":[295,713,1131],"clock_positions":[295,713,1131],"native_values":[263,263,682],"rotation_degrees":84.68899521531101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,263,682],"beta":{"interval_sums":[172784,176974,176974],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":295,"to_index":713,"sum":172784,"residue":156},{"from_index":713,"to_index":1131,"sum":176974,"residue":156},{"from_index":1131,"to_index":295,"sum":176974,"residue":156}],"minimal_cycle":[156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[295,713],"circle_positions":838,"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":[296,714,1132],"clock_positions":[296,714,1132],"native_values":[793,374,793],"rotation_degrees":84.97607655502392,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,374,793],"beta":{"interval_sums":[172254,177282,176444],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":296,"to_index":714,"sum":172254,"residue":464},{"from_index":714,"to_index":1132,"sum":177282,"residue":464},{"from_index":1132,"to_index":296,"sum":176444,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[296,714],"circle_positions":838,"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":[297,715,1133],"clock_positions":[297,715,1133],"native_values":[218,637,637],"rotation_degrees":85.26315789473684,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[218,637,637],"beta":{"interval_sums":[172410,177438,176600],"interval_residues":[620,620,620],"display_cycle":[620,620,620],"intervals":[{"from_index":297,"to_index":715,"sum":172410,"residue":620},{"from_index":715,"to_index":1133,"sum":177438,"residue":620},{"from_index":1133,"to_index":297,"sum":176600,"residue":620}],"minimal_cycle":[620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[297,715],"circle_positions":838,"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":[298,716,1134],"clock_positions":[298,716,1134],"native_values":[173,173,592],"rotation_degrees":85.55023923444976,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,173,592],"beta":{"interval_sums":[172874,177902,176226],"interval_residues":[246,246,246],"display_cycle":[246,246,246],"intervals":[{"from_index":298,"to_index":716,"sum":172874,"residue":246},{"from_index":716,"to_index":1134,"sum":177902,"residue":246},{"from_index":1134,"to_index":298,"sum":176226,"residue":246}],"minimal_cycle":[246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[298,716],"circle_positions":838,"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":[299,717,1135],"clock_positions":[299,717,1135],"native_values":[391,810,391],"rotation_degrees":85.83732057416267,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,810,391],"beta":{"interval_sums":[172656,177684,176008],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":299,"to_index":717,"sum":172656,"residue":28},{"from_index":717,"to_index":1135,"sum":177684,"residue":28},{"from_index":1135,"to_index":299,"sum":176008,"residue":28}],"minimal_cycle":[28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[299,717],"circle_positions":838,"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":[300,718,1136],"clock_positions":[300,718,1136],"native_values":[564,145,145],"rotation_degrees":86.1244019138756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[564,145,145],"beta":{"interval_sums":[172902,177930,176254],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":300,"to_index":718,"sum":172902,"residue":274},{"from_index":718,"to_index":1136,"sum":177930,"residue":274},{"from_index":1136,"to_index":300,"sum":176254,"residue":274}],"minimal_cycle":[274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[300,718],"circle_positions":838,"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":[301,719,1137],"clock_positions":[301,719,1137],"native_values":[117,117,536],"rotation_degrees":86.41148325358851,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,117,536],"beta":{"interval_sums":[172930,177958,176282],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":301,"to_index":719,"sum":172930,"residue":302},{"from_index":719,"to_index":1137,"sum":177958,"residue":302},{"from_index":1137,"to_index":301,"sum":176282,"residue":302}],"minimal_cycle":[302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[301,719],"circle_positions":838,"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":[302,720,1138],"clock_positions":[302,720,1138],"native_values":[681,262,681],"rotation_degrees":86.69856459330144,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,262,681],"beta":{"interval_sums":[172366,178232,175718],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":302,"to_index":720,"sum":172366,"residue":576},{"from_index":720,"to_index":1138,"sum":178232,"residue":576},{"from_index":1138,"to_index":302,"sum":175718,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[302,720],"circle_positions":838,"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":[303,721,1139],"clock_positions":[303,721,1139],"native_values":[798,379,379],"rotation_degrees":86.98564593301435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[798,379,379],"beta":{"interval_sums":[171830,178534,176020],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":303,"to_index":721,"sum":171830,"residue":40},{"from_index":721,"to_index":1139,"sum":178534,"residue":40},{"from_index":1139,"to_index":303,"sum":176020,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[303,721],"circle_positions":838,"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":[304,722,1140],"clock_positions":[304,722,1140],"native_values":[641,641,222],"rotation_degrees":87.27272727272727,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,641,222],"beta":{"interval_sums":[171568,178272,176596],"interval_residues":[616,616,616],"display_cycle":[616,616,616],"intervals":[{"from_index":304,"to_index":722,"sum":171568,"residue":616},{"from_index":722,"to_index":1140,"sum":178272,"residue":616},{"from_index":1140,"to_index":304,"sum":176596,"residue":616}],"minimal_cycle":[616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[304,722],"circle_positions":838,"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":[305,723,1141],"clock_positions":[305,723,1141],"native_values":[601,182,601],"rotation_degrees":87.5598086124402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,182,601],"beta":{"interval_sums":[171608,178312,176636],"interval_residues":[656,656,656],"display_cycle":[656,656,656],"intervals":[{"from_index":305,"to_index":723,"sum":171608,"residue":656},{"from_index":723,"to_index":1141,"sum":178312,"residue":656},{"from_index":1141,"to_index":305,"sum":176636,"residue":656}],"minimal_cycle":[656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[305,723],"circle_positions":838,"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":[306,724,1142],"clock_positions":[306,724,1142],"native_values":[404,823,823],"rotation_degrees":87.8468899521531,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,823,823],"beta":{"interval_sums":[171386,178090,176414],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":306,"to_index":724,"sum":171386,"residue":434},{"from_index":724,"to_index":1142,"sum":178090,"residue":434},{"from_index":1142,"to_index":306,"sum":176414,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[306,724],"circle_positions":838,"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":[307,725,1143],"clock_positions":[307,725,1143],"native_values":[167,167,586],"rotation_degrees":88.13397129186603,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,167,586],"beta":{"interval_sums":[172042,178746,176232],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":307,"to_index":725,"sum":172042,"residue":252},{"from_index":725,"to_index":1143,"sum":178746,"residue":252},{"from_index":1143,"to_index":307,"sum":176232,"residue":252}],"minimal_cycle":[252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[307,725],"circle_positions":838,"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":[308,726,1144],"clock_positions":[308,726,1144],"native_values":[571,152,571],"rotation_degrees":88.42105263157895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,152,571],"beta":{"interval_sums":[171638,179180,175828],"interval_residues":[686,686,686],"display_cycle":[686,686,686],"intervals":[{"from_index":308,"to_index":726,"sum":171638,"residue":686},{"from_index":726,"to_index":1144,"sum":179180,"residue":686},{"from_index":1144,"to_index":308,"sum":175828,"residue":686}],"minimal_cycle":[686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[308,726],"circle_positions":838,"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":[309,727,1145],"clock_positions":[309,727,1145],"native_values":[738,319,319],"rotation_degrees":88.70813397129187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,319,319],"beta":{"interval_sums":[171052,179432,176080],"interval_residues":[100,100,100],"display_cycle":[100,100,100],"intervals":[{"from_index":309,"to_index":727,"sum":171052,"residue":100},{"from_index":727,"to_index":1145,"sum":179432,"residue":100},{"from_index":1145,"to_index":309,"sum":176080,"residue":100}],"minimal_cycle":[100],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[309,727],"circle_positions":838,"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":[310,728,1146],"clock_positions":[310,728,1146],"native_values":[471,471,52],"rotation_degrees":88.99521531100478,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,471,52],"beta":{"interval_sums":[170900,179280,176766],"interval_residues":[786,786,786],"display_cycle":[786,786,786],"intervals":[{"from_index":310,"to_index":728,"sum":170900,"residue":786},{"from_index":728,"to_index":1146,"sum":179280,"residue":786},{"from_index":1146,"to_index":310,"sum":176766,"residue":786}],"minimal_cycle":[786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[310,728],"circle_positions":838,"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":[311,729,1147],"clock_positions":[311,729,1147],"native_values":[371,790,371],"rotation_degrees":89.2822966507177,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,790,371],"beta":{"interval_sums":[171000,178542,176866],"interval_residues":[48,48,48],"display_cycle":[48,48,48],"intervals":[{"from_index":311,"to_index":729,"sum":171000,"residue":48},{"from_index":729,"to_index":1147,"sum":178542,"residue":48},{"from_index":1147,"to_index":311,"sum":176866,"residue":48}],"minimal_cycle":[48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[311,729],"circle_positions":838,"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":[312,730,1148],"clock_positions":[312,730,1148],"native_values":[4,423,423],"rotation_degrees":89.56937799043062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[4,423,423],"beta":{"interval_sums":[171786,178490,176814],"interval_residues":[834,834,834],"display_cycle":[834,834,834],"intervals":[{"from_index":312,"to_index":730,"sum":171786,"residue":834},{"from_index":730,"to_index":1148,"sum":178490,"residue":834},{"from_index":1148,"to_index":312,"sum":176814,"residue":834}],"minimal_cycle":[834],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":834,"start_interval_clock_positions":[312,730],"circle_positions":838,"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":[313,731,1149],"clock_positions":[313,731,1149],"native_values":[375,375,794],"rotation_degrees":89.85645933014354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,375,794],"beta":{"interval_sums":[171834,178538,176024],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":313,"to_index":731,"sum":171834,"residue":44},{"from_index":731,"to_index":1149,"sum":178538,"residue":44},{"from_index":1149,"to_index":313,"sum":176024,"residue":44}],"minimal_cycle":[44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[313,731],"circle_positions":838,"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":[314,732,1150],"clock_positions":[314,732,1150],"native_values":[379,798,379],"rotation_degrees":90.14354066985646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,798,379],"beta":{"interval_sums":[171830,178534,176020],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":314,"to_index":732,"sum":171830,"residue":40},{"from_index":732,"to_index":1150,"sum":178534,"residue":40},{"from_index":1150,"to_index":314,"sum":176020,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[314,732],"circle_positions":838,"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":[315,733,1151],"clock_positions":[315,733,1151],"native_values":[754,335,335],"rotation_degrees":90.43062200956938,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[754,335,335],"beta":{"interval_sums":[171874,178578,176064],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":315,"to_index":733,"sum":171874,"residue":84},{"from_index":733,"to_index":1151,"sum":178578,"residue":84},{"from_index":1151,"to_index":315,"sum":176064,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[315,733],"circle_positions":838,"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":[316,734,1152],"clock_positions":[316,734,1152],"native_values":[295,295,714],"rotation_degrees":90.7177033492823,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,295,714],"beta":{"interval_sums":[171914,178618,176104],"interval_residues":[124,124,124],"display_cycle":[124,124,124],"intervals":[{"from_index":316,"to_index":734,"sum":171914,"residue":124},{"from_index":734,"to_index":1152,"sum":178618,"residue":124},{"from_index":1152,"to_index":316,"sum":176104,"residue":124}],"minimal_cycle":[124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[316,734],"circle_positions":838,"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":[317,735,1153],"clock_positions":[317,735,1153],"native_values":[211,630,211],"rotation_degrees":91.00478468899522,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,630,211],"beta":{"interval_sums":[171998,178702,176188],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":317,"to_index":735,"sum":171998,"residue":208},{"from_index":735,"to_index":1153,"sum":178702,"residue":208},{"from_index":1153,"to_index":317,"sum":176188,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[317,735],"circle_positions":838,"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":[318,736,1154],"clock_positions":[318,736,1154],"native_values":[506,87,87],"rotation_degrees":91.29186602870813,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,87,87],"beta":{"interval_sums":[172122,178826,176312],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":318,"to_index":736,"sum":172122,"residue":332},{"from_index":736,"to_index":1154,"sum":178826,"residue":332},{"from_index":1154,"to_index":318,"sum":176312,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[318,736],"circle_positions":838,"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":[319,737,1155],"clock_positions":[319,737,1155],"native_values":[717,717,298],"rotation_degrees":91.57894736842105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,717,298],"beta":{"interval_sums":[171492,178196,176520],"interval_residues":[540,540,540],"display_cycle":[540,540,540],"intervals":[{"from_index":319,"to_index":737,"sum":171492,"residue":540},{"from_index":737,"to_index":1155,"sum":178196,"residue":540},{"from_index":1155,"to_index":319,"sum":176520,"residue":540}],"minimal_cycle":[540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[319,737],"circle_positions":838,"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":[320,738,1156],"clock_positions":[320,738,1156],"native_values":[385,804,385],"rotation_degrees":91.86602870813397,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,804,385],"beta":{"interval_sums":[171824,177690,176852],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":320,"to_index":738,"sum":171824,"residue":34},{"from_index":738,"to_index":1156,"sum":177690,"residue":34},{"from_index":1156,"to_index":320,"sum":176852,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[320,738],"circle_positions":838,"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":[321,739,1157],"clock_positions":[321,739,1157],"native_values":[264,683,683],"rotation_degrees":92.1531100478469,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[264,683,683],"beta":{"interval_sums":[172364,177392,176554],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":321,"to_index":739,"sum":172364,"residue":574},{"from_index":739,"to_index":1157,"sum":177392,"residue":574},{"from_index":1157,"to_index":321,"sum":176554,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[321,739],"circle_positions":838,"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":[322,740,1158],"clock_positions":[322,740,1158],"native_values":[649,649,230],"rotation_degrees":92.4401913875598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[649,649,230],"beta":{"interval_sums":[172398,177426,176588],"interval_residues":[608,608,608],"display_cycle":[608,608,608],"intervals":[{"from_index":322,"to_index":740,"sum":172398,"residue":608},{"from_index":740,"to_index":1158,"sum":177426,"residue":608},{"from_index":1158,"to_index":322,"sum":176588,"residue":608}],"minimal_cycle":[608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[322,740],"circle_positions":838,"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":[323,741,1159],"clock_positions":[323,741,1159],"native_values":[75,494,75],"rotation_degrees":92.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,494,75],"beta":{"interval_sums":[172972,177162,177162],"interval_residues":[344,344,344],"display_cycle":[344,344,344],"intervals":[{"from_index":323,"to_index":741,"sum":172972,"residue":344},{"from_index":741,"to_index":1159,"sum":177162,"residue":344},{"from_index":1159,"to_index":323,"sum":177162,"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":[323,741],"circle_positions":838,"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":[324,742,1160],"clock_positions":[324,742,1160],"native_values":[724,305,305],"rotation_degrees":93.01435406698565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[724,305,305],"beta":{"interval_sums":[172742,176932,176932],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":324,"to_index":742,"sum":172742,"residue":114},{"from_index":742,"to_index":1160,"sum":176932,"residue":114},{"from_index":1160,"to_index":324,"sum":176932,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[324,742],"circle_positions":838,"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":[325,743,1161],"clock_positions":[325,743,1161],"native_values":[799,799,380],"rotation_degrees":93.30143540669856,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[799,799,380],"beta":{"interval_sums":[172248,176438,177276],"interval_residues":[458,458,458],"display_cycle":[458,458,458],"intervals":[{"from_index":325,"to_index":743,"sum":172248,"residue":458},{"from_index":743,"to_index":1161,"sum":176438,"residue":458},{"from_index":1161,"to_index":325,"sum":177276,"residue":458}],"minimal_cycle":[458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[325,743],"circle_positions":838,"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":[326,744,1162],"clock_positions":[326,744,1162],"native_values":[685,266,685],"rotation_degrees":93.58851674641149,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,266,685],"beta":{"interval_sums":[172362,176552,177390],"interval_residues":[572,572,572],"display_cycle":[572,572,572],"intervals":[{"from_index":326,"to_index":744,"sum":172362,"residue":572},{"from_index":744,"to_index":1162,"sum":176552,"residue":572},{"from_index":1162,"to_index":326,"sum":177390,"residue":572}],"minimal_cycle":[572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[326,744],"circle_positions":838,"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":[327,745,1163],"clock_positions":[327,745,1163],"native_values":[646,227,227],"rotation_degrees":93.8755980861244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[646,227,227],"beta":{"interval_sums":[171982,177010,177848],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":327,"to_index":745,"sum":171982,"residue":192},{"from_index":745,"to_index":1163,"sum":177010,"residue":192},{"from_index":1163,"to_index":327,"sum":177848,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[327,745],"circle_positions":838,"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":[328,746,1164],"clock_positions":[328,746,1164],"native_values":[493,493,74],"rotation_degrees":94.16267942583733,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,493,74],"beta":{"interval_sums":[171716,176744,178420],"interval_residues":[764,764,764],"display_cycle":[764,764,764],"intervals":[{"from_index":328,"to_index":746,"sum":171716,"residue":764},{"from_index":746,"to_index":1164,"sum":176744,"residue":764},{"from_index":1164,"to_index":328,"sum":178420,"residue":764}],"minimal_cycle":[764],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[328,746],"circle_positions":838,"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":[329,747,1165],"clock_positions":[329,747,1165],"native_values":[301,720,301],"rotation_degrees":94.44976076555024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,720,301],"beta":{"interval_sums":[171908,176098,178612],"interval_residues":[118,118,118],"display_cycle":[118,118,118],"intervals":[{"from_index":329,"to_index":747,"sum":171908,"residue":118},{"from_index":747,"to_index":1165,"sum":176098,"residue":118},{"from_index":1165,"to_index":329,"sum":178612,"residue":118}],"minimal_cycle":[118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[329,747],"circle_positions":838,"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":[330,748,1166],"clock_positions":[330,748,1166],"native_values":[794,375,375],"rotation_degrees":94.73684210526316,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[794,375,375],"beta":{"interval_sums":[171834,176024,178538],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":330,"to_index":748,"sum":171834,"residue":44},{"from_index":748,"to_index":1166,"sum":176024,"residue":44},{"from_index":1166,"to_index":330,"sum":178538,"residue":44}],"minimal_cycle":[44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[330,748],"circle_positions":838,"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":[331,749,1167],"clock_positions":[331,749,1167],"native_values":[257,257,676],"rotation_degrees":95.02392344497608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,257,676],"beta":{"interval_sums":[171952,176142,178656],"interval_residues":[162,162,162],"display_cycle":[162,162,162],"intervals":[{"from_index":331,"to_index":749,"sum":171952,"residue":162},{"from_index":749,"to_index":1167,"sum":176142,"residue":162},{"from_index":1167,"to_index":331,"sum":178656,"residue":162}],"minimal_cycle":[162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[331,749],"circle_positions":838,"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":[332,750,1168],"clock_positions":[332,750,1168],"native_values":[213,632,213],"rotation_degrees":95.31100478468899,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,632,213],"beta":{"interval_sums":[171996,176186,178700],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":332,"to_index":750,"sum":171996,"residue":206},{"from_index":750,"to_index":1168,"sum":176186,"residue":206},{"from_index":1168,"to_index":332,"sum":178700,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[332,750],"circle_positions":838,"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":[333,751,1169],"clock_positions":[333,751,1169],"native_values":[470,51,51],"rotation_degrees":95.59808612440192,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[470,51,51],"beta":{"interval_sums":[172158,176348,178862],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":333,"to_index":751,"sum":172158,"residue":368},{"from_index":751,"to_index":1169,"sum":176348,"residue":368},{"from_index":1169,"to_index":333,"sum":178862,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[333,751],"circle_positions":838,"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":[334,752,1170],"clock_positions":[334,752,1170],"native_values":[683,683,264],"rotation_degrees":95.88516746411483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,683,264],"beta":{"interval_sums":[171526,175716,179068],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":334,"to_index":752,"sum":171526,"residue":574},{"from_index":752,"to_index":1170,"sum":175716,"residue":574},{"from_index":1170,"to_index":334,"sum":179068,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[334,752],"circle_positions":838,"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":[335,753,1171],"clock_positions":[335,753,1171],"native_values":[315,734,315],"rotation_degrees":96.17224880382776,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,734,315],"beta":{"interval_sums":[171894,175246,179436],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":335,"to_index":753,"sum":171894,"residue":104},{"from_index":753,"to_index":1171,"sum":175246,"residue":104},{"from_index":1171,"to_index":335,"sum":179436,"residue":104}],"minimal_cycle":[104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[335,753],"circle_positions":838,"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":[336,754,1172],"clock_positions":[336,754,1172],"native_values":[160,579,579],"rotation_degrees":96.45933014354067,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[160,579,579],"beta":{"interval_sums":[172468,174982,179172],"interval_residues":[678,678,678],"display_cycle":[678,678,678],"intervals":[{"from_index":336,"to_index":754,"sum":172468,"residue":678},{"from_index":754,"to_index":1172,"sum":174982,"residue":678},{"from_index":1172,"to_index":336,"sum":179172,"residue":678}],"minimal_cycle":[678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[336,754],"circle_positions":838,"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":[337,755,1173],"clock_positions":[337,755,1173],"native_values":[475,475,56],"rotation_degrees":96.7464114832536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,475,56],"beta":{"interval_sums":[172572,175086,179276],"interval_residues":[782,782,782],"display_cycle":[782,782,782],"intervals":[{"from_index":337,"to_index":755,"sum":172572,"residue":782},{"from_index":755,"to_index":1173,"sum":175086,"residue":782},{"from_index":1173,"to_index":337,"sum":179276,"residue":782}],"minimal_cycle":[782],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":782,"start_interval_clock_positions":[337,755],"circle_positions":838,"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":[338,756,1174],"clock_positions":[338,756,1174],"native_values":[635,216,635],"rotation_degrees":97.03349282296651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[635,216,635],"beta":{"interval_sums":[172412,174926,179116],"interval_residues":[622,622,622],"display_cycle":[622,622,622],"intervals":[{"from_index":338,"to_index":756,"sum":172412,"residue":622},{"from_index":756,"to_index":1174,"sum":174926,"residue":622},{"from_index":1174,"to_index":338,"sum":179116,"residue":622}],"minimal_cycle":[622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[338,756],"circle_positions":838,"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":[339,757,1175],"clock_positions":[339,757,1175],"native_values":[272,691,691],"rotation_degrees":97.32057416267942,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,691,691],"beta":{"interval_sums":[172356,174870,179060],"interval_residues":[566,566,566],"display_cycle":[566,566,566],"intervals":[{"from_index":339,"to_index":757,"sum":172356,"residue":566},{"from_index":757,"to_index":1175,"sum":174870,"residue":566},{"from_index":1175,"to_index":339,"sum":179060,"residue":566}],"minimal_cycle":[566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[339,757],"circle_positions":838,"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":[340,758,1176],"clock_positions":[340,758,1176],"native_values":[69,69,488],"rotation_degrees":97.60765550239235,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,69,488],"beta":{"interval_sums":[172978,175492,178844],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":340,"to_index":758,"sum":172978,"residue":350},{"from_index":758,"to_index":1176,"sum":175492,"residue":350},{"from_index":1176,"to_index":340,"sum":178844,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[340,758],"circle_positions":838,"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":[341,759,1177],"clock_positions":[341,759,1177],"native_values":[341,760,341],"rotation_degrees":97.89473684210526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,760,341],"beta":{"interval_sums":[172706,175220,178572],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":341,"to_index":759,"sum":172706,"residue":78},{"from_index":759,"to_index":1177,"sum":175220,"residue":78},{"from_index":1177,"to_index":341,"sum":178572,"residue":78}],"minimal_cycle":[78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[341,759],"circle_positions":838,"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":[342,760,1178],"clock_positions":[342,760,1178],"native_values":[410,829,829],"rotation_degrees":98.18181818181819,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,829,829],"beta":{"interval_sums":[173056,174732,178084],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":342,"to_index":760,"sum":173056,"residue":428},{"from_index":760,"to_index":1178,"sum":174732,"residue":428},{"from_index":1178,"to_index":342,"sum":178084,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[342,760],"circle_positions":838,"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":[343,761,1179],"clock_positions":[343,761,1179],"native_values":[751,751,332],"rotation_degrees":98.4688995215311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,751,332],"beta":{"interval_sums":[173134,174810,178162],"interval_residues":[506,506,506],"display_cycle":[506,506,506],"intervals":[{"from_index":343,"to_index":761,"sum":173134,"residue":506},{"from_index":761,"to_index":1179,"sum":174810,"residue":506},{"from_index":1179,"to_index":343,"sum":178162,"residue":506}],"minimal_cycle":[506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[343,761],"circle_positions":838,"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":[344,762,1180],"clock_positions":[344,762,1180],"native_values":[323,742,323],"rotation_degrees":98.75598086124401,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,742,323],"beta":{"interval_sums":[173562,174400,178590],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":344,"to_index":762,"sum":173562,"residue":96},{"from_index":762,"to_index":1180,"sum":174400,"residue":96},{"from_index":1180,"to_index":344,"sum":178590,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[344,762],"circle_positions":838,"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":[345,763,1181],"clock_positions":[345,763,1181],"native_values":[236,655,655],"rotation_degrees":99.04306220095694,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[236,655,655],"beta":{"interval_sums":[174068,174068,178258],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":345,"to_index":763,"sum":174068,"residue":602},{"from_index":763,"to_index":1181,"sum":174068,"residue":602},{"from_index":1181,"to_index":345,"sum":178258,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[345,763],"circle_positions":838,"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":[346,764,1182],"clock_positions":[346,764,1182],"native_values":[559,559,140],"rotation_degrees":99.33014354066985,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,559,140],"beta":{"interval_sums":[174164,174164,178354],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":346,"to_index":764,"sum":174164,"residue":698},{"from_index":764,"to_index":1182,"sum":174164,"residue":698},{"from_index":1182,"to_index":346,"sum":178354,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[346,764],"circle_positions":838,"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":[347,765,1183],"clock_positions":[347,765,1183],"native_values":[795,376,795],"rotation_degrees":99.61722488038278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,376,795],"beta":{"interval_sums":[173928,173928,178118],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":347,"to_index":765,"sum":173928,"residue":462},{"from_index":765,"to_index":1183,"sum":173928,"residue":462},{"from_index":1183,"to_index":347,"sum":178118,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[347,765],"circle_positions":838,"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":[348,766,1184],"clock_positions":[348,766,1184],"native_values":[516,97,97],"rotation_degrees":99.90430622009569,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[516,97,97],"beta":{"interval_sums":[173788,174626,178816],"interval_residues":[322,322,322],"display_cycle":[322,322,322],"intervals":[{"from_index":348,"to_index":766,"sum":173788,"residue":322},{"from_index":766,"to_index":1184,"sum":174626,"residue":322},{"from_index":1184,"to_index":348,"sum":178816,"residue":322}],"minimal_cycle":[322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[348,766],"circle_positions":838,"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":[349,767,1185],"clock_positions":[349,767,1185],"native_values":[473,473,54],"rotation_degrees":100.19138755980862,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,473,54],"beta":{"interval_sums":[173412,174250,179278],"interval_residues":[784,784,784],"display_cycle":[784,784,784],"intervals":[{"from_index":349,"to_index":767,"sum":173412,"residue":784},{"from_index":767,"to_index":1185,"sum":174250,"residue":784},{"from_index":1185,"to_index":349,"sum":179278,"residue":784}],"minimal_cycle":[784],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":784,"start_interval_clock_positions":[349,767],"circle_positions":838,"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":[350,768,1186],"clock_positions":[350,768,1186],"native_values":[151,570,151],"rotation_degrees":100.47846889952153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,570,151],"beta":{"interval_sums":[173734,173734,179600],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":350,"to_index":768,"sum":173734,"residue":268},{"from_index":768,"to_index":1186,"sum":173734,"residue":268},{"from_index":1186,"to_index":350,"sum":179600,"residue":268}],"minimal_cycle":[268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[350,768],"circle_positions":838,"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":[351,769,1187],"clock_positions":[351,769,1187],"native_values":[624,205,205],"rotation_degrees":100.76555023923444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,205,205],"beta":{"interval_sums":[173680,173680,179546],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":351,"to_index":769,"sum":173680,"residue":214},{"from_index":769,"to_index":1187,"sum":173680,"residue":214},{"from_index":1187,"to_index":351,"sum":179546,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[351,769],"circle_positions":838,"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":[352,770,1188],"clock_positions":[352,770,1188],"native_values":[775,775,356],"rotation_degrees":101.05263157894737,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[775,775,356],"beta":{"interval_sums":[173110,173110,179814],"interval_residues":[482,482,482],"display_cycle":[482,482,482],"intervals":[{"from_index":352,"to_index":770,"sum":173110,"residue":482},{"from_index":770,"to_index":1188,"sum":173110,"residue":482},{"from_index":1188,"to_index":352,"sum":179814,"residue":482}],"minimal_cycle":[482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[352,770],"circle_positions":838,"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":[353,771,1189],"clock_positions":[353,771,1189],"native_values":[561,142,561],"rotation_degrees":101.33971291866028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,142,561],"beta":{"interval_sums":[173324,173324,180028],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":353,"to_index":771,"sum":173324,"residue":696},{"from_index":771,"to_index":1189,"sum":173324,"residue":696},{"from_index":1189,"to_index":353,"sum":180028,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[353,771],"circle_positions":838,"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":[354,772,1190],"clock_positions":[354,772,1190],"native_values":[498,79,79],"rotation_degrees":101.62679425837321,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,79,79],"beta":{"interval_sums":[172968,173806,180510],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":354,"to_index":772,"sum":172968,"residue":340},{"from_index":772,"to_index":1190,"sum":173806,"residue":340},{"from_index":1190,"to_index":354,"sum":180510,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[354,772],"circle_positions":838,"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":[355,773,1191],"clock_positions":[355,773,1191],"native_values":[221,221,640],"rotation_degrees":101.91387559808612,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,640],"beta":{"interval_sums":[172826,173664,180368],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":355,"to_index":773,"sum":172826,"residue":198},{"from_index":773,"to_index":1191,"sum":173664,"residue":198},{"from_index":1191,"to_index":355,"sum":180368,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[355,773],"circle_positions":838,"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":[356,774,1192],"clock_positions":[356,774,1192],"native_values":[719,300,719],"rotation_degrees":102.20095693779905,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[719,300,719],"beta":{"interval_sums":[172328,174004,179870],"interval_residues":[538,538,538],"display_cycle":[538,538,538],"intervals":[{"from_index":356,"to_index":774,"sum":172328,"residue":538},{"from_index":774,"to_index":1192,"sum":174004,"residue":538},{"from_index":1192,"to_index":356,"sum":179870,"residue":538}],"minimal_cycle":[538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[356,774],"circle_positions":838,"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":[357,775,1193],"clock_positions":[357,775,1193],"native_values":[102,521,521],"rotation_degrees":102.48803827751196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,521,521],"beta":{"interval_sums":[172526,174202,180068],"interval_residues":[736,736,736],"display_cycle":[736,736,736],"intervals":[{"from_index":357,"to_index":775,"sum":172526,"residue":736},{"from_index":775,"to_index":1193,"sum":174202,"residue":736},{"from_index":1193,"to_index":357,"sum":180068,"residue":736}],"minimal_cycle":[736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[357,775],"circle_positions":838,"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":[358,776,1194],"clock_positions":[358,776,1194],"native_values":[821,821,402],"rotation_degrees":102.77511961722487,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[821,821,402],"beta":{"interval_sums":[172226,173902,179768],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":358,"to_index":776,"sum":172226,"residue":436},{"from_index":776,"to_index":1194,"sum":173902,"residue":436},{"from_index":1194,"to_index":358,"sum":179768,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[358,776],"circle_positions":838,"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":[359,777,1195],"clock_positions":[359,777,1195],"native_values":[85,504,85],"rotation_degrees":103.0622009569378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,504,85],"beta":{"interval_sums":[172962,173800,180504],"interval_residues":[334,334,334],"display_cycle":[334,334,334],"intervals":[{"from_index":359,"to_index":777,"sum":172962,"residue":334},{"from_index":777,"to_index":1195,"sum":173800,"residue":334},{"from_index":1195,"to_index":359,"sum":180504,"residue":334}],"minimal_cycle":[334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[359,777],"circle_positions":838,"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":[360,778,1196],"clock_positions":[360,778,1196],"native_values":[68,487,487],"rotation_degrees":103.34928229665071,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,487,487],"beta":{"interval_sums":[173398,173398,180102],"interval_residues":[770,770,770],"display_cycle":[770,770,770],"intervals":[{"from_index":360,"to_index":778,"sum":173398,"residue":770},{"from_index":778,"to_index":1196,"sum":173398,"residue":770},{"from_index":1196,"to_index":360,"sum":180102,"residue":770}],"minimal_cycle":[770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[360,778],"circle_positions":838,"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":[361,779,1197],"clock_positions":[361,779,1197],"native_values":[153,153,572],"rotation_degrees":103.63636363636364,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,153,572],"beta":{"interval_sums":[173732,173732,179598],"interval_residues":[266,266,266],"display_cycle":[266,266,266],"intervals":[{"from_index":361,"to_index":779,"sum":173732,"residue":266},{"from_index":779,"to_index":1197,"sum":173732,"residue":266},{"from_index":1197,"to_index":361,"sum":179598,"residue":266}],"minimal_cycle":[266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[361,779],"circle_positions":838,"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":[362,780,1198],"clock_positions":[362,780,1198],"native_values":[221,640,221],"rotation_degrees":103.92344497607655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,640,221],"beta":{"interval_sums":[173664,173664,179530],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":362,"to_index":780,"sum":173664,"residue":198},{"from_index":780,"to_index":1198,"sum":173664,"residue":198},{"from_index":1198,"to_index":362,"sum":179530,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[362,780],"circle_positions":838,"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":[363,781,1199],"clock_positions":[363,781,1199],"native_values":[374,793,793],"rotation_degrees":104.21052631578948,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,793,793],"beta":{"interval_sums":[173930,173092,178958],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":363,"to_index":781,"sum":173930,"residue":464},{"from_index":781,"to_index":1199,"sum":173092,"residue":464},{"from_index":1199,"to_index":363,"sum":178958,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[363,781],"circle_positions":838,"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":[364,782,1200],"clock_positions":[364,782,1200],"native_values":[595,595,176],"rotation_degrees":104.49760765550239,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,595,176],"beta":{"interval_sums":[174128,173290,179156],"interval_residues":[662,662,662],"display_cycle":[662,662,662],"intervals":[{"from_index":364,"to_index":782,"sum":174128,"residue":662},{"from_index":782,"to_index":1200,"sum":173290,"residue":662},{"from_index":1200,"to_index":364,"sum":179156,"residue":662}],"minimal_cycle":[662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[364,782],"circle_positions":838,"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":[365,783,1201],"clock_positions":[365,783,1201],"native_values":[131,550,131],"rotation_degrees":104.7846889952153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,550,131],"beta":{"interval_sums":[174592,172916,179620],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":365,"to_index":783,"sum":174592,"residue":288},{"from_index":783,"to_index":1201,"sum":172916,"residue":288},{"from_index":1201,"to_index":365,"sum":179620,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[365,783],"circle_positions":838,"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":[366,784,1202],"clock_positions":[366,784,1202],"native_values":[726,307,307],"rotation_degrees":105.07177033492823,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[726,307,307],"beta":{"interval_sums":[174416,172740,179444],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":366,"to_index":784,"sum":174416,"residue":112},{"from_index":784,"to_index":1202,"sum":172740,"residue":112},{"from_index":1202,"to_index":366,"sum":179444,"residue":112}],"minimal_cycle":[112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":112,"start_interval_clock_positions":[366,784],"circle_positions":838,"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":[367,785,1203],"clock_positions":[367,785,1203],"native_values":[19,19,438],"rotation_degrees":105.35885167464114,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,19,438],"beta":{"interval_sums":[174704,173028,179732],"interval_residues":[400,400,400],"display_cycle":[400,400,400],"intervals":[{"from_index":367,"to_index":785,"sum":174704,"residue":400},{"from_index":785,"to_index":1203,"sum":173028,"residue":400},{"from_index":1203,"to_index":367,"sum":179732,"residue":400}],"minimal_cycle":[400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[367,785],"circle_positions":838,"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":[368,786,1204],"clock_positions":[368,786,1204],"native_values":[745,326,745],"rotation_degrees":105.64593301435407,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[745,326,745],"beta":{"interval_sums":[173978,173140,179006],"interval_residues":[512,512,512],"display_cycle":[512,512,512],"intervals":[{"from_index":368,"to_index":786,"sum":173978,"residue":512},{"from_index":786,"to_index":1204,"sum":173140,"residue":512},{"from_index":1204,"to_index":368,"sum":179006,"residue":512}],"minimal_cycle":[512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[368,786],"circle_positions":838,"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":[369,787,1205],"clock_positions":[369,787,1205],"native_values":[764,345,345],"rotation_degrees":105.93301435406698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,345,345],"beta":{"interval_sums":[173540,173540,179406],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":369,"to_index":787,"sum":173540,"residue":74},{"from_index":787,"to_index":1205,"sum":173540,"residue":74},{"from_index":1205,"to_index":369,"sum":179406,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[369,787],"circle_positions":838,"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":[370,788,1206],"clock_positions":[370,788,1206],"native_values":[671,671,252],"rotation_degrees":106.22009569377991,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,671,252],"beta":{"interval_sums":[173214,173214,179918],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":370,"to_index":788,"sum":173214,"residue":586},{"from_index":788,"to_index":1206,"sum":173214,"residue":586},{"from_index":1206,"to_index":370,"sum":179918,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[370,788],"circle_positions":838,"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":[371,789,1207],"clock_positions":[371,789,1207],"native_values":[597,178,597],"rotation_degrees":106.50717703349282,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,178,597],"beta":{"interval_sums":[173288,173288,179992],"interval_residues":[660,660,660],"display_cycle":[660,660,660],"intervals":[{"from_index":371,"to_index":789,"sum":173288,"residue":660},{"from_index":789,"to_index":1207,"sum":173288,"residue":660},{"from_index":1207,"to_index":371,"sum":179992,"residue":660}],"minimal_cycle":[660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[371,789],"circle_positions":838,"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":[372,790,1208],"clock_positions":[372,790,1208],"native_values":[430,11,11],"rotation_degrees":106.79425837320574,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[430,11,11],"beta":{"interval_sums":[173036,173874,180578],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":372,"to_index":790,"sum":173036,"residue":408},{"from_index":790,"to_index":1208,"sum":173874,"residue":408},{"from_index":1208,"to_index":372,"sum":180578,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[372,790],"circle_positions":838,"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":[373,791,1209],"clock_positions":[373,791,1209],"native_values":[189,189,608],"rotation_degrees":107.08133971291866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,189,608],"beta":{"interval_sums":[172858,173696,180400],"interval_residues":[230,230,230],"display_cycle":[230,230,230],"intervals":[{"from_index":373,"to_index":791,"sum":172858,"residue":230},{"from_index":791,"to_index":1209,"sum":173696,"residue":230},{"from_index":1209,"to_index":373,"sum":180400,"residue":230}],"minimal_cycle":[230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[373,791],"circle_positions":838,"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":[374,792,1210],"clock_positions":[374,792,1210],"native_values":[619,200,619],"rotation_degrees":107.36842105263158,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[619,200,619],"beta":{"interval_sums":[172428,174104,179970],"interval_residues":[638,638,638],"display_cycle":[638,638,638],"intervals":[{"from_index":374,"to_index":792,"sum":172428,"residue":638},{"from_index":792,"to_index":1210,"sum":174104,"residue":638},{"from_index":1210,"to_index":374,"sum":179970,"residue":638}],"minimal_cycle":[638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[374,792],"circle_positions":838,"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":[375,793,1211],"clock_positions":[375,793,1211],"native_values":[808,389,389],"rotation_degrees":107.6555023923445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[808,389,389],"beta":{"interval_sums":[171820,174334,180200],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":375,"to_index":793,"sum":171820,"residue":30},{"from_index":793,"to_index":1211,"sum":174334,"residue":30},{"from_index":1211,"to_index":375,"sum":180200,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[375,793],"circle_positions":838,"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":[376,794,1212],"clock_positions":[376,794,1212],"native_values":[589,589,170],"rotation_degrees":107.94258373205741,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,589,170],"beta":{"interval_sums":[171620,174134,180838],"interval_residues":[668,668,668],"display_cycle":[668,668,668],"intervals":[{"from_index":376,"to_index":794,"sum":171620,"residue":668},{"from_index":794,"to_index":1212,"sum":174134,"residue":668},{"from_index":1212,"to_index":376,"sum":180838,"residue":668}],"minimal_cycle":[668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":668,"start_interval_clock_positions":[376,794],"circle_positions":838,"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":[377,795,1213],"clock_positions":[377,795,1213],"native_values":[559,140,559],"rotation_degrees":108.22966507177034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,140,559],"beta":{"interval_sums":[171650,174164,180868],"interval_residues":[698,698,698],"display_cycle":[698,698,698],"intervals":[{"from_index":377,"to_index":795,"sum":171650,"residue":698},{"from_index":795,"to_index":1213,"sum":174164,"residue":698},{"from_index":1213,"to_index":377,"sum":180868,"residue":698}],"minimal_cycle":[698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":698,"start_interval_clock_positions":[377,795],"circle_positions":838,"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":[378,796,1214],"clock_positions":[378,796,1214],"native_values":[310,729,729],"rotation_degrees":108.51674641148325,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,729,729],"beta":{"interval_sums":[171480,173994,180698],"interval_residues":[528,528,528],"display_cycle":[528,528,528],"intervals":[{"from_index":378,"to_index":796,"sum":171480,"residue":528},{"from_index":796,"to_index":1214,"sum":173994,"residue":528},{"from_index":1214,"to_index":378,"sum":180698,"residue":528}],"minimal_cycle":[528],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":528,"start_interval_clock_positions":[378,796],"circle_positions":838,"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":[379,797,1215],"clock_positions":[379,797,1215],"native_values":[31,31,450],"rotation_degrees":108.80382775119617,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,31,450],"beta":{"interval_sums":[172178,174692,180558],"interval_residues":[388,388,388],"display_cycle":[388,388,388],"intervals":[{"from_index":379,"to_index":797,"sum":172178,"residue":388},{"from_index":797,"to_index":1215,"sum":174692,"residue":388},{"from_index":1215,"to_index":379,"sum":180558,"residue":388}],"minimal_cycle":[388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":388,"start_interval_clock_positions":[379,797],"circle_positions":838,"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":[380,798,1216],"clock_positions":[380,798,1216],"native_values":[341,760,341],"rotation_degrees":109.0909090909091,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,760,341],"beta":{"interval_sums":[171868,174382,180248],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":380,"to_index":798,"sum":171868,"residue":78},{"from_index":798,"to_index":1216,"sum":174382,"residue":78},{"from_index":1216,"to_index":380,"sum":180248,"residue":78}],"minimal_cycle":[78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[380,798],"circle_positions":838,"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":[381,799,1217],"clock_positions":[381,799,1217],"native_values":[372,791,791],"rotation_degrees":109.377990430622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,791,791],"beta":{"interval_sums":[172256,173932,179798],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":381,"to_index":799,"sum":172256,"residue":466},{"from_index":799,"to_index":1217,"sum":173932,"residue":466},{"from_index":1217,"to_index":381,"sum":179798,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[381,799],"circle_positions":838,"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":[382,800,1218],"clock_positions":[382,800,1218],"native_values":[713,713,294],"rotation_degrees":109.66507177033493,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,713,294],"beta":{"interval_sums":[172334,174010,179876],"interval_residues":[544,544,544],"display_cycle":[544,544,544],"intervals":[{"from_index":382,"to_index":800,"sum":172334,"residue":544},{"from_index":800,"to_index":1218,"sum":174010,"residue":544},{"from_index":1218,"to_index":382,"sum":179876,"residue":544}],"minimal_cycle":[544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":544,"start_interval_clock_positions":[382,800],"circle_positions":838,"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":[383,801,1219],"clock_positions":[383,801,1219],"native_values":[247,666,247],"rotation_degrees":109.95215311004785,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,666,247],"beta":{"interval_sums":[172800,173638,180342],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":383,"to_index":801,"sum":172800,"residue":172},{"from_index":801,"to_index":1219,"sum":173638,"residue":172},{"from_index":1219,"to_index":383,"sum":180342,"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":[383,801],"circle_positions":838,"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":[384,802,1220],"clock_positions":[384,802,1220],"native_values":[122,541,541],"rotation_degrees":110.23923444976077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,541,541],"beta":{"interval_sums":[173344,173344,180048],"interval_residues":[716,716,716],"display_cycle":[716,716,716],"intervals":[{"from_index":384,"to_index":802,"sum":173344,"residue":716},{"from_index":802,"to_index":1220,"sum":173344,"residue":716},{"from_index":1220,"to_index":384,"sum":180048,"residue":716}],"minimal_cycle":[716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[384,802],"circle_positions":838,"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":[385,803,1221],"clock_positions":[385,803,1221],"native_values":[369,369,788],"rotation_degrees":110.52631578947368,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,369,788],"beta":{"interval_sums":[173516,173516,179382],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":385,"to_index":803,"sum":173516,"residue":50},{"from_index":803,"to_index":1221,"sum":173516,"residue":50},{"from_index":1221,"to_index":385,"sum":179382,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[385,803],"circle_positions":838,"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":[386,804,1222],"clock_positions":[386,804,1222],"native_values":[491,72,491],"rotation_degrees":110.8133971291866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[491,72,491],"beta":{"interval_sums":[173394,174232,179260],"interval_residues":[766,766,766],"display_cycle":[766,766,766],"intervals":[{"from_index":386,"to_index":804,"sum":173394,"residue":766},{"from_index":804,"to_index":1222,"sum":174232,"residue":766},{"from_index":1222,"to_index":386,"sum":179260,"residue":766}],"minimal_cycle":[766],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":766,"start_interval_clock_positions":[386,804],"circle_positions":838,"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":[387,805,1223],"clock_positions":[387,805,1223],"native_values":[22,441,441],"rotation_degrees":111.10047846889952,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,441,441],"beta":{"interval_sums":[173444,174282,179310],"interval_residues":[816,816,816],"display_cycle":[816,816,816],"intervals":[{"from_index":387,"to_index":805,"sum":173444,"residue":816},{"from_index":805,"to_index":1223,"sum":174282,"residue":816},{"from_index":1223,"to_index":387,"sum":179310,"residue":816}],"minimal_cycle":[816],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":816,"start_interval_clock_positions":[387,805],"circle_positions":838,"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":[388,806,1224],"clock_positions":[388,806,1224],"native_values":[513,513,94],"rotation_degrees":111.38755980861244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,513,94],"beta":{"interval_sums":[173372,174210,179238],"interval_residues":[744,744,744],"display_cycle":[744,744,744],"intervals":[{"from_index":388,"to_index":806,"sum":173372,"residue":744},{"from_index":806,"to_index":1224,"sum":174210,"residue":744},{"from_index":1224,"to_index":388,"sum":179238,"residue":744}],"minimal_cycle":[744],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":744,"start_interval_clock_positions":[388,806],"circle_positions":838,"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":[389,807,1225],"clock_positions":[389,807,1225],"native_values":[535,116,535],"rotation_degrees":111.67464114832536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,116,535],"beta":{"interval_sums":[173350,174188,179216],"interval_residues":[722,722,722],"display_cycle":[722,722,722],"intervals":[{"from_index":389,"to_index":807,"sum":173350,"residue":722},{"from_index":807,"to_index":1225,"sum":174188,"residue":722},{"from_index":1225,"to_index":389,"sum":179216,"residue":722}],"minimal_cycle":[722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[389,807],"circle_positions":838,"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":[390,808,1226],"clock_positions":[390,808,1226],"native_values":[210,629,629],"rotation_degrees":111.96172248803828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,629,629],"beta":{"interval_sums":[173256,174094,179122],"interval_residues":[628,628,628],"display_cycle":[628,628,628],"intervals":[{"from_index":390,"to_index":808,"sum":173256,"residue":628},{"from_index":808,"to_index":1226,"sum":174094,"residue":628},{"from_index":1226,"to_index":390,"sum":179122,"residue":628}],"minimal_cycle":[628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[390,808],"circle_positions":838,"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":[391,809,1227],"clock_positions":[391,809,1227],"native_values":[745,745,326],"rotation_degrees":112.2488038277512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[745,745,326],"beta":{"interval_sums":[173140,173978,179006],"interval_residues":[512,512,512],"display_cycle":[512,512,512],"intervals":[{"from_index":391,"to_index":809,"sum":173140,"residue":512},{"from_index":809,"to_index":1227,"sum":173978,"residue":512},{"from_index":1227,"to_index":391,"sum":179006,"residue":512}],"minimal_cycle":[512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[391,809],"circle_positions":838,"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":[392,810,1228],"clock_positions":[392,810,1228],"native_values":[117,536,117],"rotation_degrees":112.53588516746412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,536,117],"beta":{"interval_sums":[173768,173768,179634],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":392,"to_index":810,"sum":173768,"residue":302},{"from_index":810,"to_index":1228,"sum":173768,"residue":302},{"from_index":1228,"to_index":392,"sum":179634,"residue":302}],"minimal_cycle":[302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[392,810],"circle_positions":838,"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":[393,811,1229],"clock_positions":[393,811,1229],"native_values":[24,443,443],"rotation_degrees":112.82296650717703,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[24,443,443],"beta":{"interval_sums":[174280,173442,179308],"interval_residues":[814,814,814],"display_cycle":[814,814,814],"intervals":[{"from_index":393,"to_index":811,"sum":174280,"residue":814},{"from_index":811,"to_index":1229,"sum":173442,"residue":814},{"from_index":1229,"to_index":393,"sum":179308,"residue":814}],"minimal_cycle":[814],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":814,"start_interval_clock_positions":[393,811],"circle_positions":838,"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":[394,812,1230],"clock_positions":[394,812,1230],"native_values":[141,141,560],"rotation_degrees":113.11004784688996,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,141,560],"beta":{"interval_sums":[174582,173744,178772],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":394,"to_index":812,"sum":174582,"residue":278},{"from_index":812,"to_index":1230,"sum":173744,"residue":278},{"from_index":1230,"to_index":394,"sum":178772,"residue":278}],"minimal_cycle":[278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[394,812],"circle_positions":838,"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":[395,813,1231],"clock_positions":[395,813,1231],"native_values":[165,584,165],"rotation_degrees":113.39712918660287,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,584,165],"beta":{"interval_sums":[174558,173720,178748],"interval_residues":[254,254,254],"display_cycle":[254,254,254],"intervals":[{"from_index":395,"to_index":813,"sum":174558,"residue":254},{"from_index":813,"to_index":1231,"sum":173720,"residue":254},{"from_index":1231,"to_index":395,"sum":178748,"residue":254}],"minimal_cycle":[254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[395,813],"circle_positions":838,"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":[396,814,1232],"clock_positions":[396,814,1232],"native_values":[306,725,725],"rotation_degrees":113.6842105263158,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[306,725,725],"beta":{"interval_sums":[174836,173160,178188],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":396,"to_index":814,"sum":174836,"residue":532},{"from_index":814,"to_index":1232,"sum":173160,"residue":532},{"from_index":1232,"to_index":396,"sum":178188,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[396,814],"circle_positions":838,"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":[397,815,1233],"clock_positions":[397,815,1233],"native_values":[471,471,52],"rotation_degrees":113.97129186602871,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,471,52],"beta":{"interval_sums":[175090,173414,178442],"interval_residues":[786,786,786],"display_cycle":[786,786,786],"intervals":[{"from_index":397,"to_index":815,"sum":175090,"residue":786},{"from_index":815,"to_index":1233,"sum":173414,"residue":786},{"from_index":1233,"to_index":397,"sum":178442,"residue":786}],"minimal_cycle":[786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[397,815],"circle_positions":838,"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":[398,816,1234],"clock_positions":[398,816,1234],"native_values":[777,358,777],"rotation_degrees":114.25837320574162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[777,358,777],"beta":{"interval_sums":[174784,173108,178136],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":398,"to_index":816,"sum":174784,"residue":480},{"from_index":816,"to_index":1234,"sum":173108,"residue":480},{"from_index":1234,"to_index":398,"sum":178136,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[398,816],"circle_positions":838,"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":[399,817,1235],"clock_positions":[399,817,1235],"native_values":[410,829,829],"rotation_degrees":114.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[410,829,829],"beta":{"interval_sums":[174732,173056,178084],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":399,"to_index":817,"sum":174732,"residue":428},{"from_index":817,"to_index":1235,"sum":173056,"residue":428},{"from_index":1235,"to_index":399,"sum":178084,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[399,817],"circle_positions":838,"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":[400,818,1236],"clock_positions":[400,818,1236],"native_values":[349,349,768],"rotation_degrees":114.83253588516746,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,349,768],"beta":{"interval_sums":[175212,173536,177726],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":400,"to_index":818,"sum":175212,"residue":70},{"from_index":818,"to_index":1236,"sum":173536,"residue":70},{"from_index":1236,"to_index":400,"sum":177726,"residue":70}],"minimal_cycle":[70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[400,818],"circle_positions":838,"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":[401,819,1237],"clock_positions":[401,819,1237],"native_values":[759,340,759],"rotation_degrees":115.11961722488039,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,340,759],"beta":{"interval_sums":[174802,173964,177316],"interval_residues":[498,498,498],"display_cycle":[498,498,498],"intervals":[{"from_index":401,"to_index":819,"sum":174802,"residue":498},{"from_index":819,"to_index":1237,"sum":173964,"residue":498},{"from_index":1237,"to_index":401,"sum":177316,"residue":498}],"minimal_cycle":[498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[401,819],"circle_positions":838,"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":[402,820,1238],"clock_positions":[402,820,1238],"native_values":[270,689,689],"rotation_degrees":115.4066985645933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[270,689,689],"beta":{"interval_sums":[174872,174034,177386],"interval_residues":[568,568,568],"display_cycle":[568,568,568],"intervals":[{"from_index":402,"to_index":820,"sum":174872,"residue":568},{"from_index":820,"to_index":1238,"sum":174034,"residue":568},{"from_index":1238,"to_index":402,"sum":177386,"residue":568}],"minimal_cycle":[568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[402,820],"circle_positions":838,"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":[403,821,1239],"clock_positions":[403,821,1239],"native_values":[191,191,610],"rotation_degrees":115.69377990430623,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,191,610],"beta":{"interval_sums":[175370,174532,177046],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":403,"to_index":821,"sum":175370,"residue":228},{"from_index":821,"to_index":1239,"sum":174532,"residue":228},{"from_index":1239,"to_index":403,"sum":177046,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[403,821],"circle_positions":838,"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":[404,822,1240],"clock_positions":[404,822,1240],"native_values":[461,42,461],"rotation_degrees":115.98086124401914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,42,461],"beta":{"interval_sums":[175100,175100,176776],"interval_residues":[796,796,796],"display_cycle":[796,796,796],"intervals":[{"from_index":404,"to_index":822,"sum":175100,"residue":796},{"from_index":822,"to_index":1240,"sum":175100,"residue":796},{"from_index":1240,"to_index":404,"sum":176776,"residue":796}],"minimal_cycle":[796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[404,822],"circle_positions":838,"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":[405,823,1241],"clock_positions":[405,823,1241],"native_values":[652,233,233],"rotation_degrees":116.26794258373205,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[652,233,233],"beta":{"interval_sums":[174490,175328,177004],"interval_residues":[186,186,186],"display_cycle":[186,186,186],"intervals":[{"from_index":405,"to_index":823,"sum":174490,"residue":186},{"from_index":823,"to_index":1241,"sum":175328,"residue":186},{"from_index":1241,"to_index":405,"sum":177004,"residue":186}],"minimal_cycle":[186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[405,823],"circle_positions":838,"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":[406,824,1242],"clock_positions":[406,824,1242],"native_values":[275,275,694],"rotation_degrees":116.55502392344498,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,275,694],"beta":{"interval_sums":[174448,175286,176962],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":406,"to_index":824,"sum":174448,"residue":144},{"from_index":824,"to_index":1242,"sum":175286,"residue":144},{"from_index":1242,"to_index":406,"sum":176962,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[406,824],"circle_positions":838,"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":[407,825,1243],"clock_positions":[407,825,1243],"native_values":[89,508,89],"rotation_degrees":116.84210526315789,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,508,89],"beta":{"interval_sums":[174634,175472,177148],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":407,"to_index":825,"sum":174634,"residue":330},{"from_index":825,"to_index":1243,"sum":175472,"residue":330},{"from_index":1243,"to_index":407,"sum":177148,"residue":330}],"minimal_cycle":[330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[407,825],"circle_positions":838,"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":[408,826,1244],"clock_positions":[408,826,1244],"native_values":[364,783,783],"rotation_degrees":117.12918660287082,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,783,783],"beta":{"interval_sums":[174778,174778,176454],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":408,"to_index":826,"sum":174778,"residue":474},{"from_index":826,"to_index":1244,"sum":174778,"residue":474},{"from_index":1244,"to_index":408,"sum":176454,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[408,826],"circle_positions":838,"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":[409,827,1245],"clock_positions":[409,827,1245],"native_values":[453,453,34],"rotation_degrees":117.41626794258373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,453,34],"beta":{"interval_sums":[175108,175108,176784],"interval_residues":[804,804,804],"display_cycle":[804,804,804],"intervals":[{"from_index":409,"to_index":827,"sum":175108,"residue":804},{"from_index":827,"to_index":1245,"sum":175108,"residue":804},{"from_index":1245,"to_index":409,"sum":176784,"residue":804}],"minimal_cycle":[804],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":804,"start_interval_clock_positions":[409,827],"circle_positions":838,"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":[410,828,1246],"clock_positions":[410,828,1246],"native_values":[817,398,817],"rotation_degrees":117.70334928229666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[817,398,817],"beta":{"interval_sums":[174744,174744,176420],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":410,"to_index":828,"sum":174744,"residue":440},{"from_index":828,"to_index":1246,"sum":174744,"residue":440},{"from_index":1246,"to_index":410,"sum":176420,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[410,828],"circle_positions":838,"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":[411,829,1247],"clock_positions":[411,829,1247],"native_values":[432,13,13],"rotation_degrees":117.99043062200957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[432,13,13],"beta":{"interval_sums":[174710,175548,177224],"interval_residues":[406,406,406],"display_cycle":[406,406,406],"intervals":[{"from_index":411,"to_index":829,"sum":174710,"residue":406},{"from_index":829,"to_index":1247,"sum":175548,"residue":406},{"from_index":1247,"to_index":411,"sum":177224,"residue":406}],"minimal_cycle":[406],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[411,829],"circle_positions":838,"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":[412,830,1248],"clock_positions":[412,830,1248],"native_values":[411,411,830],"rotation_degrees":118.27751196172248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,411,830],"beta":{"interval_sums":[174312,175150,176826],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":412,"to_index":830,"sum":174312,"residue":8},{"from_index":830,"to_index":1248,"sum":175150,"residue":8},{"from_index":1248,"to_index":412,"sum":176826,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[412,830],"circle_positions":838,"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":[413,831,1249],"clock_positions":[413,831,1249],"native_values":[5,424,5],"rotation_degrees":118.56459330143541,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,424,5],"beta":{"interval_sums":[174718,175556,177232],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":413,"to_index":831,"sum":174718,"residue":414},{"from_index":831,"to_index":1249,"sum":175556,"residue":414},{"from_index":1249,"to_index":413,"sum":177232,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[413,831],"circle_positions":838,"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":[414,832,1250],"clock_positions":[414,832,1250],"native_values":[416,835,835],"rotation_degrees":118.85167464114832,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,835,835],"beta":{"interval_sums":[174726,174726,176402],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":414,"to_index":832,"sum":174726,"residue":422},{"from_index":832,"to_index":1250,"sum":174726,"residue":422},{"from_index":1250,"to_index":414,"sum":176402,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[414,832],"circle_positions":838,"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":[415,833,1251],"clock_positions":[415,833,1251],"native_values":[421,421,2],"rotation_degrees":119.13875598086125,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,421,2],"beta":{"interval_sums":[175140,175140,176816],"interval_residues":[836,836,836],"display_cycle":[836,836,836],"intervals":[{"from_index":415,"to_index":833,"sum":175140,"residue":836},{"from_index":833,"to_index":1251,"sum":175140,"residue":836},{"from_index":1251,"to_index":415,"sum":176816,"residue":836}],"minimal_cycle":[836],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":836,"start_interval_clock_positions":[415,833],"circle_positions":838,"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":[416,834,1252],"clock_positions":[416,834,1252],"native_values":[837,418,837],"rotation_degrees":119.42583732057416,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[837,418,837],"beta":{"interval_sums":[174724,174724,176400],"interval_residues":[420,420,420],"display_cycle":[420,420,420],"intervals":[{"from_index":416,"to_index":834,"sum":174724,"residue":420},{"from_index":834,"to_index":1252,"sum":174724,"residue":420},{"from_index":1252,"to_index":416,"sum":176400,"residue":420}],"minimal_cycle":[420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[416,834],"circle_positions":838,"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":[417,835,1253],"clock_positions":[417,835,1253],"native_values":[420,1,1],"rotation_degrees":119.71291866028709,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,1,1],"beta":{"interval_sums":[174722,175560,177236],"interval_residues":[418,418,418],"display_cycle":[418,418,418],"intervals":[{"from_index":417,"to_index":835,"sum":174722,"residue":418},{"from_index":835,"to_index":1253,"sum":175560,"residue":418},{"from_index":1253,"to_index":417,"sum":177236,"residue":418}],"minimal_cycle":[418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[417,835],"circle_positions":838,"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":[0,209,418,627,836,1045],"clock_positions":[1254,209,418,627,836,1045],"native_values":[838,603,419,184,419,603],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[838,603,419,184,419,603],"beta":{"interval_sums":[84729,92324,82215,91905,85986,88553],"interval_residues":[91,144,91,563,510,563],"display_cycle":[91,144,91,563,510,563],"intervals":[{"from_index":0,"to_index":209,"sum":84729,"residue":91},{"from_index":209,"to_index":418,"sum":92324,"residue":144},{"from_index":418,"to_index":627,"sum":82215,"residue":91},{"from_index":627,"to_index":836,"sum":91905,"residue":563},{"from_index":836,"to_index":1045,"sum":85986,"residue":510},{"from_index":1045,"to_index":0,"sum":88553,"residue":563}],"minimal_cycle":[91,144,91,563,510,563],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[1254,209],"circle_positions":838,"cycle_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":[1,210,419,628,837,1046],"clock_positions":[1,210,419,628,837,1046],"native_values":[1,92,1,511,420,511],"rotation_degrees":0.28708133971291866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,92,1,511,420,511],"beta":{"interval_sums":[85331,92651,82398,91813,86169,88042],"interval_residues":[693,471,274,471,693,52],"display_cycle":[693,471,274,471,693,52],"intervals":[{"from_index":1,"to_index":210,"sum":85331,"residue":693},{"from_index":210,"to_index":419,"sum":92651,"residue":471},{"from_index":419,"to_index":628,"sum":82398,"residue":274},{"from_index":628,"to_index":837,"sum":91813,"residue":471},{"from_index":837,"to_index":1046,"sum":86169,"residue":693},{"from_index":1046,"to_index":1,"sum":88042,"residue":52}],"minimal_cycle":[693,471,274,471,693,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":693,"start_interval_clock_positions":[1,210],"circle_positions":838,"cycle_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":[2,211,420,629,838,1047],"clock_positions":[2,211,420,629,838,1047],"native_values":[1,695,420,695,1,276],"rotation_degrees":0.5741626794258373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,695,420,695,1,276],"beta":{"interval_sums":[85422,91957,82489,91538,86679,87767],"interval_residues":[784,615,365,196,365,615],"display_cycle":[784,615,365,196,365,615],"intervals":[{"from_index":2,"to_index":211,"sum":85422,"residue":784},{"from_index":211,"to_index":420,"sum":91957,"residue":615},{"from_index":420,"to_index":629,"sum":82489,"residue":365},{"from_index":629,"to_index":838,"sum":91538,"residue":196},{"from_index":838,"to_index":1047,"sum":86679,"residue":365},{"from_index":1047,"to_index":2,"sum":87767,"residue":615}],"minimal_cycle":[784,615,365,196,365,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":784,"start_interval_clock_positions":[2,211],"circle_positions":838,"cycle_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":[3,212,421,630,839,1048],"clock_positions":[3,212,421,630,839,1048],"native_values":[2,787,421,368,421,787],"rotation_degrees":0.861244019138756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,787,421,368,421,787],"beta":{"interval_sums":[86115,91590,82763,91171,86534,86981],"interval_residues":[639,248,639,667,220,667],"display_cycle":[639,248,639,667,220,667],"intervals":[{"from_index":3,"to_index":212,"sum":86115,"residue":639},{"from_index":212,"to_index":421,"sum":91590,"residue":248},{"from_index":421,"to_index":630,"sum":82763,"residue":639},{"from_index":630,"to_index":839,"sum":91171,"residue":667},{"from_index":839,"to_index":1048,"sum":86534,"residue":220},{"from_index":1048,"to_index":3,"sum":86981,"residue":667}],"minimal_cycle":[639,248,639,667,220,667],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":639,"start_interval_clock_positions":[3,212],"circle_positions":838,"cycle_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":[4,213,422,631,840,1049],"clock_positions":[4,213,422,631,840,1049],"native_values":[3,644,3,225,422,225],"rotation_degrees":1.1483253588516746,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,644,3,225,422,225],"beta":{"interval_sums":[86899,91367,83128,91367,86899,86758],"interval_residues":[585,25,166,25,585,444],"display_cycle":[585,25,166,25,585,444],"intervals":[{"from_index":4,"to_index":213,"sum":86899,"residue":585},{"from_index":213,"to_index":422,"sum":91367,"residue":25},{"from_index":422,"to_index":631,"sum":83128,"residue":166},{"from_index":631,"to_index":840,"sum":91367,"residue":25},{"from_index":840,"to_index":1049,"sum":86899,"residue":585},{"from_index":1049,"to_index":4,"sum":86758,"residue":444}],"minimal_cycle":[585,25,166,25,585,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[4,213],"circle_positions":838,"cycle_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":[5,214,423,632,841,1050],"clock_positions":[5,214,423,632,841,1050],"native_values":[5,593,424,593,5,174],"rotation_degrees":1.4354066985645932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,593,424,593,5,174],"beta":{"interval_sums":[87538,90777,82929,91196,87119,86587],"interval_residues":[386,273,805,692,805,273],"display_cycle":[386,273,805,692,805,273],"intervals":[{"from_index":5,"to_index":214,"sum":87538,"residue":386},{"from_index":214,"to_index":423,"sum":90777,"residue":273},{"from_index":423,"to_index":632,"sum":82929,"residue":805},{"from_index":632,"to_index":841,"sum":91196,"residue":692},{"from_index":841,"to_index":1050,"sum":87119,"residue":805},{"from_index":1050,"to_index":5,"sum":86587,"residue":273}],"minimal_cycle":[386,273,805,692,805,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[5,214],"circle_positions":838,"cycle_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":[6,215,424,633,842,1051],"clock_positions":[6,215,424,633,842,1051],"native_values":[8,399,427,818,427,399],"rotation_degrees":1.722488038277512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,399,427,818,427,399],"beta":{"interval_sums":[88123,90802,83095,90383,86866,86193],"interval_residues":[133,298,133,717,552,717],"display_cycle":[133,298,133,717,552,717],"intervals":[{"from_index":6,"to_index":215,"sum":88123,"residue":133},{"from_index":215,"to_index":424,"sum":90802,"residue":298},{"from_index":424,"to_index":633,"sum":83095,"residue":133},{"from_index":633,"to_index":842,"sum":90383,"residue":717},{"from_index":842,"to_index":1051,"sum":86866,"residue":552},{"from_index":1051,"to_index":6,"sum":86193,"residue":717}],"minimal_cycle":[133,298,133,717,552,717],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":133,"start_interval_clock_positions":[6,215],"circle_positions":838,"cycle_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":[7,216,425,634,843,1052],"clock_positions":[7,216,425,634,843,1052],"native_values":[13,154,13,573,432,573],"rotation_degrees":2.0095693779904304,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,154,13,573,432,573],"beta":{"interval_sums":[88509,91075,83900,90237,86833,85628],"interval_residues":[519,571,100,571,519,152],"display_cycle":[519,571,100,571,519,152],"intervals":[{"from_index":7,"to_index":216,"sum":88509,"residue":519},{"from_index":216,"to_index":425,"sum":91075,"residue":571},{"from_index":425,"to_index":634,"sum":83900,"residue":100},{"from_index":634,"to_index":843,"sum":90237,"residue":571},{"from_index":843,"to_index":1052,"sum":86833,"residue":519},{"from_index":1052,"to_index":7,"sum":85628,"residue":152}],"minimal_cycle":[519,571,100,571,519,152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":519,"start_interval_clock_positions":[7,216],"circle_positions":838,"cycle_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":[8,217,426,635,844,1053],"clock_positions":[8,217,426,635,844,1053],"native_values":[21,553,440,553,21,134],"rotation_degrees":2.2966507177033493,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,553,440,553,21,134],"beta":{"interval_sums":[88642,90535,84033,90116,87385,85507],"interval_residues":[652,31,233,450,233,31],"display_cycle":[652,31,233,450,233,31],"intervals":[{"from_index":8,"to_index":217,"sum":88642,"residue":652},{"from_index":217,"to_index":426,"sum":90535,"residue":31},{"from_index":426,"to_index":635,"sum":84033,"residue":233},{"from_index":635,"to_index":844,"sum":90116,"residue":450},{"from_index":844,"to_index":1053,"sum":87385,"residue":233},{"from_index":1053,"to_index":8,"sum":85507,"residue":31}],"minimal_cycle":[652,31,233,450,233,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[8,217],"circle_positions":838,"cycle_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":[9,218,427,636,845,1054],"clock_positions":[9,218,427,636,845,1054],"native_values":[34,707,453,288,453,707],"rotation_degrees":2.583732057416268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,707,453,288,453,707],"beta":{"interval_sums":[89161,90268,84133,89849,87066,84821],"interval_residues":[333,602,333,183,752,183],"display_cycle":[333,602,333,183,752,183],"intervals":[{"from_index":9,"to_index":218,"sum":89161,"residue":333},{"from_index":218,"to_index":427,"sum":90268,"residue":602},{"from_index":427,"to_index":636,"sum":84133,"residue":333},{"from_index":636,"to_index":845,"sum":89849,"residue":183},{"from_index":845,"to_index":1054,"sum":87066,"residue":752},{"from_index":1054,"to_index":9,"sum":84821,"residue":183}],"minimal_cycle":[333,602,333,183,752,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[9,218],"circle_positions":838,"cycle_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":[10,219,428,637,846,1055],"clock_positions":[10,219,428,637,846,1055],"native_values":[55,422,55,3,474,3],"rotation_degrees":2.8708133971291865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,422,55,3,474,3],"beta":{"interval_sums":[89813,90299,84366,90299,87299,84852],"interval_residues":[147,633,566,633,147,214],"display_cycle":[147,633,566,633,147,214],"intervals":[{"from_index":10,"to_index":219,"sum":89813,"residue":147},{"from_index":219,"to_index":428,"sum":90299,"residue":633},{"from_index":428,"to_index":637,"sum":84366,"residue":566},{"from_index":637,"to_index":846,"sum":90299,"residue":633},{"from_index":846,"to_index":1055,"sum":87299,"residue":147},{"from_index":1055,"to_index":10,"sum":84852,"residue":214}],"minimal_cycle":[147,633,566,633,147,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[10,219],"circle_positions":838,"cycle_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":[11,220,429,638,847,1056],"clock_positions":[11,220,429,638,847,1056],"native_values":[89,291,508,291,89,710],"rotation_degrees":3.1578947368421053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,291,508,291,89,710],"beta":{"interval_sums":[90146,90063,83861,90482,87213,84197],"interval_residues":[480,397,61,816,61,397],"display_cycle":[480,397,61,816,61,397],"intervals":[{"from_index":11,"to_index":220,"sum":90146,"residue":480},{"from_index":220,"to_index":429,"sum":90063,"residue":397},{"from_index":429,"to_index":638,"sum":83861,"residue":61},{"from_index":638,"to_index":847,"sum":90482,"residue":816},{"from_index":847,"to_index":1056,"sum":87213,"residue":61},{"from_index":1056,"to_index":11,"sum":84197,"residue":397}],"minimal_cycle":[480,397,61,816,61,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[11,220],"circle_positions":838,"cycle_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":[12,221,430,639,848,1057],"clock_positions":[12,221,430,639,848,1057],"native_values":[144,713,563,294,563,713],"rotation_degrees":3.444976076555024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,713,563,294,563,713],"beta":{"interval_sums":[90293,89858,83589,90277,87360,83573],"interval_residues":[627,192,627,611,208,611],"display_cycle":[627,192,627,611,208,611],"intervals":[{"from_index":12,"to_index":221,"sum":90293,"residue":627},{"from_index":221,"to_index":430,"sum":89858,"residue":192},{"from_index":430,"to_index":639,"sum":83589,"residue":627},{"from_index":639,"to_index":848,"sum":90277,"residue":611},{"from_index":848,"to_index":1057,"sum":87360,"residue":208},{"from_index":1057,"to_index":12,"sum":83573,"residue":611}],"minimal_cycle":[627,192,627,611,208,611],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":627,"start_interval_clock_positions":[12,221],"circle_positions":838,"cycle_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":[13,222,431,640,849,1058],"clock_positions":[13,222,431,640,849,1058],"native_values":[233,166,233,585,652,585],"rotation_degrees":3.7320574162679425,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,166,233,585,652,585],"beta":{"interval_sums":[90773,90255,83650,90255,87421,83132],"interval_residues":[269,589,688,589,269,170],"display_cycle":[269,589,688,589,269,170],"intervals":[{"from_index":13,"to_index":222,"sum":90773,"residue":269},{"from_index":222,"to_index":431,"sum":90255,"residue":589},{"from_index":431,"to_index":640,"sum":83650,"residue":688},{"from_index":640,"to_index":849,"sum":90255,"residue":589},{"from_index":849,"to_index":1058,"sum":87421,"residue":269},{"from_index":1058,"to_index":13,"sum":83132,"residue":170}],"minimal_cycle":[269,589,688,589,269,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":269,"start_interval_clock_positions":[13,222],"circle_positions":838,"cycle_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":[14,223,432,641,850,1059],"clock_positions":[14,223,432,641,850,1059],"native_values":[377,41,796,41,377,460],"rotation_degrees":4.019138755980861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,41,796,41,377,460],"beta":{"interval_sums":[90562,90447,83439,90866,87629,82905],"interval_residues":[58,781,477,362,477,781],"display_cycle":[58,781,477,362,477,781],"intervals":[{"from_index":14,"to_index":223,"sum":90562,"residue":58},{"from_index":223,"to_index":432,"sum":90447,"residue":781},{"from_index":432,"to_index":641,"sum":83439,"residue":477},{"from_index":641,"to_index":850,"sum":90866,"residue":362},{"from_index":850,"to_index":1059,"sum":87629,"residue":477},{"from_index":1059,"to_index":14,"sum":82905,"residue":781}],"minimal_cycle":[58,781,477,362,477,781],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[14,223],"circle_positions":838,"cycle_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":[15,224,433,642,851,1060],"clock_positions":[15,224,433,642,851,1060],"native_values":[610,207,191,626,191,207],"rotation_degrees":4.30622009569378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,207,191,626,191,207],"beta":{"interval_sums":[89993,91036,83289,90617,87898,83075],"interval_residues":[327,532,327,113,746,113],"display_cycle":[327,532,327,113,746,113],"intervals":[{"from_index":15,"to_index":224,"sum":89993,"residue":327},{"from_index":224,"to_index":433,"sum":91036,"residue":532},{"from_index":433,"to_index":642,"sum":83289,"residue":327},{"from_index":642,"to_index":851,"sum":90617,"residue":113},{"from_index":851,"to_index":1060,"sum":87898,"residue":746},{"from_index":1060,"to_index":15,"sum":83075,"residue":113}],"minimal_cycle":[327,532,327,113,746,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[15,224],"circle_positions":838,"cycle_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":[16,225,434,643,852,1061],"clock_positions":[16,225,434,643,852,1061],"native_values":[149,248,149,667,568,667],"rotation_degrees":4.5933014354066986,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,248,149,667,568,667],"beta":{"interval_sums":[90051,90979,83766,90141,87537,83018],"interval_residues":[385,475,804,475,385,56],"display_cycle":[385,475,804,475,385,56],"intervals":[{"from_index":16,"to_index":225,"sum":90051,"residue":385},{"from_index":225,"to_index":434,"sum":90979,"residue":475},{"from_index":434,"to_index":643,"sum":83766,"residue":804},{"from_index":643,"to_index":852,"sum":90141,"residue":475},{"from_index":852,"to_index":1061,"sum":87537,"residue":385},{"from_index":1061,"to_index":16,"sum":83018,"residue":56}],"minimal_cycle":[385,475,804,475,385,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[16,225],"circle_positions":838,"cycle_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":[17,226,435,644,853,1062],"clock_positions":[17,226,435,644,853,1062],"native_values":[759,455,340,455,759,36],"rotation_degrees":4.880382775119617,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,455,340,455,759,36],"beta":{"interval_sums":[89540,90673,84093,90254,87445,83131],"interval_residues":[712,169,293,588,293,169],"display_cycle":[712,169,293,588,293,169],"intervals":[{"from_index":17,"to_index":226,"sum":89540,"residue":712},{"from_index":226,"to_index":435,"sum":90673,"residue":169},{"from_index":435,"to_index":644,"sum":84093,"residue":293},{"from_index":644,"to_index":853,"sum":90254,"residue":588},{"from_index":853,"to_index":1062,"sum":87445,"residue":293},{"from_index":1062,"to_index":17,"sum":83131,"residue":169}],"minimal_cycle":[712,169,293,588,293,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[17,226],"circle_positions":838,"cycle_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":[18,227,436,645,854,1063],"clock_positions":[18,227,436,645,854,1063],"native_values":[70,703,489,284,489,703],"rotation_degrees":5.167464114832536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[70,703,489,284,489,703],"beta":{"interval_sums":[89925,90310,84059,90729,86992,83187],"interval_residues":[259,644,259,225,678,225],"display_cycle":[259,644,259,225,678,225],"intervals":[{"from_index":18,"to_index":227,"sum":89925,"residue":259},{"from_index":227,"to_index":436,"sum":90310,"residue":644},{"from_index":436,"to_index":645,"sum":84059,"residue":259},{"from_index":645,"to_index":854,"sum":90729,"residue":225},{"from_index":854,"to_index":1063,"sum":86992,"residue":678},{"from_index":1063,"to_index":18,"sum":83187,"residue":225}],"minimal_cycle":[259,644,259,225,678,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[18,227],"circle_positions":838,"cycle_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":[19,228,437,646,855,1064],"clock_positions":[19,228,437,646,855,1064],"native_values":[829,320,829,739,410,739],"rotation_degrees":5.454545454545454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[829,320,829,739,410,739],"beta":{"interval_sums":[89799,90479,83514,90479,87285,82518],"interval_residues":[133,813,552,813,133,394],"display_cycle":[133,813,552,813,133,394],"intervals":[{"from_index":19,"to_index":228,"sum":89799,"residue":133},{"from_index":228,"to_index":437,"sum":90479,"residue":813},{"from_index":437,"to_index":646,"sum":83514,"residue":552},{"from_index":646,"to_index":855,"sum":90479,"residue":813},{"from_index":855,"to_index":1064,"sum":87285,"residue":133},{"from_index":1064,"to_index":19,"sum":82518,"residue":394}],"minimal_cycle":[133,813,552,813,133,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":133,"start_interval_clock_positions":[19,228],"circle_positions":838,"cycle_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":[20,229,438,647,856,1065],"clock_positions":[20,229,438,647,856,1065],"native_values":[61,185,480,185,61,604],"rotation_degrees":5.741626794258373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,185,480,185,61,604],"beta":{"interval_sums":[90058,91123,83773,90704,87963,82743],"interval_residues":[392,619,811,200,811,619],"display_cycle":[392,619,811,200,811,619],"intervals":[{"from_index":20,"to_index":229,"sum":90058,"residue":392},{"from_index":229,"to_index":438,"sum":91123,"residue":619},{"from_index":438,"to_index":647,"sum":83773,"residue":811},{"from_index":647,"to_index":856,"sum":90704,"residue":200},{"from_index":856,"to_index":1065,"sum":87963,"residue":811},{"from_index":1065,"to_index":20,"sum":82743,"residue":619}],"minimal_cycle":[392,619,811,200,811,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[20,229],"circle_positions":838,"cycle_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":[21,230,439,648,857,1066],"clock_positions":[21,230,439,648,857,1066],"native_values":[52,505,471,86,471,505],"rotation_degrees":6.028708133971292,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,505,471,86,471,505],"beta":{"interval_sums":[90191,91098,83487,90679,88096,82299],"interval_residues":[525,594,525,175,106,175],"display_cycle":[525,594,525,175,106,175],"intervals":[{"from_index":21,"to_index":230,"sum":90191,"residue":525},{"from_index":230,"to_index":439,"sum":91098,"residue":594},{"from_index":439,"to_index":648,"sum":83487,"residue":525},{"from_index":648,"to_index":857,"sum":90679,"residue":175},{"from_index":857,"to_index":1066,"sum":88096,"residue":106},{"from_index":1066,"to_index":21,"sum":82299,"residue":175}],"minimal_cycle":[525,594,525,175,106,175],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[21,230],"circle_positions":838,"cycle_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":[22,231,440,649,858,1067],"clock_positions":[22,231,440,649,858,1067],"native_values":[113,690,113,271,532,271],"rotation_degrees":6.315789473684211,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,690,113,271,532,271],"beta":{"interval_sums":[90583,90879,83460,90879,88069,82080],"interval_residues":[79,375,498,375,79,794],"display_cycle":[79,375,498,375,79,794],"intervals":[{"from_index":22,"to_index":231,"sum":90583,"residue":79},{"from_index":231,"to_index":440,"sum":90879,"residue":375},{"from_index":440,"to_index":649,"sum":83460,"residue":498},{"from_index":649,"to_index":858,"sum":90879,"residue":375},{"from_index":858,"to_index":1067,"sum":88069,"residue":79},{"from_index":1067,"to_index":22,"sum":82080,"residue":794}],"minimal_cycle":[79,375,498,375,79,794],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[22,231],"circle_positions":838,"cycle_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":[23,232,441,650,859,1068],"clock_positions":[23,232,441,650,859,1068],"native_values":[165,357,584,357,165,776],"rotation_degrees":6.6028708133971294,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,357,584,357,165,776],"beta":{"interval_sums":[91108,90635,83147,91054,88175,81417],"interval_residues":[604,131,185,550,185,131],"display_cycle":[604,131,185,550,185,131],"intervals":[{"from_index":23,"to_index":232,"sum":91108,"residue":604},{"from_index":232,"to_index":441,"sum":90635,"residue":131},{"from_index":441,"to_index":650,"sum":83147,"residue":185},{"from_index":650,"to_index":859,"sum":91054,"residue":550},{"from_index":859,"to_index":1068,"sum":88175,"residue":185},{"from_index":1068,"to_index":23,"sum":81417,"residue":131}],"minimal_cycle":[604,131,185,550,185,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[23,232],"circle_positions":838,"cycle_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":[24,233,442,651,860,1069],"clock_positions":[24,233,442,651,860,1069],"native_values":[278,209,697,628,697,209],"rotation_degrees":6.889952153110048,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,209,697,628,697,209],"beta":{"interval_sums":[91187,91010,82807,90591,88254,81373],"interval_residues":[683,506,683,87,264,87],"display_cycle":[683,506,683,87,264,87],"intervals":[{"from_index":24,"to_index":233,"sum":91187,"residue":683},{"from_index":233,"to_index":442,"sum":91010,"residue":506},{"from_index":442,"to_index":651,"sum":82807,"residue":683},{"from_index":651,"to_index":860,"sum":90591,"residue":87},{"from_index":860,"to_index":1069,"sum":88254,"residue":264},{"from_index":1069,"to_index":24,"sum":81373,"residue":87}],"minimal_cycle":[683,506,683,87,264,87],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":683,"start_interval_clock_positions":[24,233],"circle_positions":838,"cycle_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":[25,234,443,652,861,1070],"clock_positions":[25,234,443,652,861,1070],"native_values":[443,566,443,147,24,147],"rotation_degrees":7.177033492822966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,566,443,147,24,147],"beta":{"interval_sums":[90953,91141,82992,91141,88439,81504],"interval_residues":[449,637,30,637,449,218],"display_cycle":[449,637,30,637,449,218],"intervals":[{"from_index":25,"to_index":234,"sum":90953,"residue":449},{"from_index":234,"to_index":443,"sum":91141,"residue":637},{"from_index":443,"to_index":652,"sum":82992,"residue":30},{"from_index":652,"to_index":861,"sum":91141,"residue":637},{"from_index":861,"to_index":1070,"sum":88439,"residue":449},{"from_index":1070,"to_index":25,"sum":81504,"residue":218}],"minimal_cycle":[449,637,30,637,449,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[25,234],"circle_positions":838,"cycle_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":[26,235,444,653,862,1071],"clock_positions":[26,235,444,653,862,1071],"native_values":[721,775,302,775,721,356],"rotation_degrees":7.464114832535885,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,775,302,775,721,356],"beta":{"interval_sums":[90798,90809,82837,90390,87865,81591],"interval_residues":[294,305,713,724,713,305],"display_cycle":[294,305,713,724,713,305],"intervals":[{"from_index":26,"to_index":235,"sum":90798,"residue":294},{"from_index":235,"to_index":444,"sum":90809,"residue":305},{"from_index":444,"to_index":653,"sum":82837,"residue":713},{"from_index":653,"to_index":862,"sum":90390,"residue":724},{"from_index":862,"to_index":1071,"sum":87865,"residue":713},{"from_index":1071,"to_index":26,"sum":81591,"residue":305}],"minimal_cycle":[294,305,713,724,713,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[26,235],"circle_positions":838,"cycle_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":[27,236,445,654,863,1072],"clock_positions":[27,236,445,654,863,1072],"native_values":[326,503,745,84,745,503],"rotation_degrees":7.751196172248804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,503,745,84,745,503],"beta":{"interval_sums":[91247,90608,82867,91027,87476,81809],"interval_residues":[743,104,743,523,324,523],"display_cycle":[743,104,743,523,324,523],"intervals":[{"from_index":27,"to_index":236,"sum":91247,"residue":743},{"from_index":236,"to_index":445,"sum":90608,"residue":104},{"from_index":445,"to_index":654,"sum":82867,"residue":743},{"from_index":654,"to_index":863,"sum":91027,"residue":523},{"from_index":863,"to_index":1072,"sum":87476,"residue":324},{"from_index":1072,"to_index":27,"sum":81809,"residue":523}],"minimal_cycle":[743,104,743,523,324,523],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[27,236],"circle_positions":838,"cycle_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":[28,237,446,655,864,1073],"clock_positions":[28,237,446,655,864,1073],"native_values":[209,440,209,21,628,21],"rotation_degrees":8.038277511961722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,440,209,21,628,21],"beta":{"interval_sums":[91541,90913,82742,91751,87351,82114],"interval_residues":[199,409,618,409,199,828],"display_cycle":[199,409,618,409,199,828],"intervals":[{"from_index":28,"to_index":237,"sum":91541,"residue":199},{"from_index":237,"to_index":446,"sum":90913,"residue":409},{"from_index":446,"to_index":655,"sum":82742,"residue":618},{"from_index":655,"to_index":864,"sum":91751,"residue":409},{"from_index":864,"to_index":1073,"sum":87351,"residue":199},{"from_index":1073,"to_index":28,"sum":82114,"residue":828}],"minimal_cycle":[199,409,618,409,199,828],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[28,237],"circle_positions":838,"cycle_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":[29,238,447,656,865,1074],"clock_positions":[29,238,447,656,865,1074],"native_values":[535,105,116,105,535,524],"rotation_degrees":8.325358851674642,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,105,116,105,535,524],"beta":{"interval_sums":[91446,91017,82647,92274,86837,81799],"interval_residues":[104,513,523,94,523,513],"display_cycle":[104,513,523,94,523,513],"intervals":[{"from_index":29,"to_index":238,"sum":91446,"residue":104},{"from_index":238,"to_index":447,"sum":91017,"residue":513},{"from_index":447,"to_index":656,"sum":82647,"residue":523},{"from_index":656,"to_index":865,"sum":92274,"residue":94},{"from_index":865,"to_index":1074,"sum":86837,"residue":523},{"from_index":1074,"to_index":29,"sum":81799,"residue":513}],"minimal_cycle":[104,513,523,94,523,513],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[29,238],"circle_positions":838,"cycle_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":[30,239,448,657,866,1075],"clock_positions":[30,239,448,657,866,1075],"native_values":[744,545,325,126,325,545],"rotation_degrees":8.61244019138756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[744,545,325,126,325,545],"beta":{"interval_sums":[90807,90588,82427,92683,87036,81789],"interval_residues":[303,84,303,503,722,503],"display_cycle":[303,84,303,503,722,503],"intervals":[{"from_index":30,"to_index":239,"sum":90807,"residue":303},{"from_index":239,"to_index":448,"sum":90588,"residue":84},{"from_index":448,"to_index":657,"sum":82427,"residue":303},{"from_index":657,"to_index":866,"sum":92683,"residue":503},{"from_index":866,"to_index":1075,"sum":87036,"residue":722},{"from_index":1075,"to_index":30,"sum":81789,"residue":503}],"minimal_cycle":[303,84,303,503,722,503],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":303,"start_interval_clock_positions":[30,239],"circle_positions":838,"cycle_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":[31,240,449,658,867,1076],"clock_positions":[31,240,449,658,867,1076],"native_values":[441,650,441,231,22,231],"rotation_degrees":8.89952153110048,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,650,441,231,22,231],"beta":{"interval_sums":[90911,90263,82112,92777,87559,82302],"interval_residues":[407,597,826,597,407,178],"display_cycle":[407,597,826,597,407,178],"intervals":[{"from_index":31,"to_index":240,"sum":90911,"residue":407},{"from_index":240,"to_index":449,"sum":90263,"residue":597},{"from_index":449,"to_index":658,"sum":82112,"residue":826},{"from_index":658,"to_index":867,"sum":92777,"residue":597},{"from_index":867,"to_index":1076,"sum":87559,"residue":407},{"from_index":1076,"to_index":31,"sum":82302,"residue":178}],"minimal_cycle":[407,597,826,597,407,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[31,240],"circle_positions":838,"cycle_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":[32,241,450,659,868,1077],"clock_positions":[32,241,450,659,868,1077],"native_values":[347,357,766,357,347,776],"rotation_degrees":9.186602870813397,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[347,357,766,357,347,776],"beta":{"interval_sums":[91214,90347,81577,92442,87443,81967],"interval_residues":[710,681,291,262,291,681],"display_cycle":[710,681,291,262,291,681],"intervals":[{"from_index":32,"to_index":241,"sum":91214,"residue":710},{"from_index":241,"to_index":450,"sum":90347,"residue":681},{"from_index":450,"to_index":659,"sum":81577,"residue":291},{"from_index":659,"to_index":868,"sum":92442,"residue":262},{"from_index":868,"to_index":1077,"sum":87443,"residue":291},{"from_index":1077,"to_index":32,"sum":81967,"residue":681}],"minimal_cycle":[710,681,291,262,291,681],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[32,241],"circle_positions":838,"cycle_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":[33,242,451,660,869,1078],"clock_positions":[33,242,451,660,869,1078],"native_values":[788,169,369,588,369,169],"rotation_degrees":9.473684210526315,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[788,169,369,588,369,169],"beta":{"interval_sums":[90783,90944,81565,92201,87850,82145],"interval_residues":[279,440,279,21,698,21],"display_cycle":[279,440,279,21,698,21],"intervals":[{"from_index":33,"to_index":242,"sum":90783,"residue":279},{"from_index":242,"to_index":451,"sum":90944,"residue":440},{"from_index":451,"to_index":660,"sum":81565,"residue":279},{"from_index":660,"to_index":869,"sum":92201,"residue":21},{"from_index":869,"to_index":1078,"sum":87850,"residue":698},{"from_index":1078,"to_index":33,"sum":82145,"residue":21}],"minimal_cycle":[279,440,279,21,698,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[33,242],"circle_positions":838,"cycle_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":[34,243,452,661,870,1079],"clock_positions":[34,243,452,661,870,1079],"native_values":[297,526,297,107,716,107],"rotation_degrees":9.760765550239235,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,526,297,107,716,107],"beta":{"interval_sums":[90655,90787,81856,92463,87303,82826],"interval_residues":[151,283,570,283,151,702],"display_cycle":[151,283,570,283,151,702],"intervals":[{"from_index":34,"to_index":243,"sum":90655,"residue":151},{"from_index":243,"to_index":452,"sum":90787,"residue":283},{"from_index":452,"to_index":661,"sum":81856,"residue":570},{"from_index":661,"to_index":870,"sum":92463,"residue":283},{"from_index":870,"to_index":1079,"sum":87303,"residue":151},{"from_index":1079,"to_index":34,"sum":82826,"residue":702}],"minimal_cycle":[151,283,570,283,151,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[34,243],"circle_positions":838,"cycle_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":[35,244,453,662,871,1080],"clock_positions":[35,244,453,662,871,1080],"native_values":[247,695,666,695,247,276],"rotation_degrees":10.047846889952153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,695,666,695,247,276],"beta":{"interval_sums":[90934,90389,81297,92484,87163,82847],"interval_residues":[430,723,11,304,11,723],"display_cycle":[430,723,11,304,11,723],"intervals":[{"from_index":35,"to_index":244,"sum":90934,"residue":430},{"from_index":244,"to_index":453,"sum":90389,"residue":723},{"from_index":453,"to_index":662,"sum":81297,"residue":11},{"from_index":662,"to_index":871,"sum":92484,"residue":304},{"from_index":871,"to_index":1080,"sum":87163,"residue":11},{"from_index":1080,"to_index":35,"sum":82847,"residue":723}],"minimal_cycle":[430,723,11,304,11,723],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[35,244],"circle_positions":838,"cycle_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":[36,245,454,663,872,1081],"clock_positions":[36,245,454,663,872,1081],"native_values":[544,383,125,802,125,383],"rotation_degrees":10.334928229665072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,383,125,802,125,383],"beta":{"interval_sums":[91085,90672,81867,91929,87314,82711],"interval_residues":[581,168,581,587,162,587],"display_cycle":[581,168,581,587,162,587],"intervals":[{"from_index":36,"to_index":245,"sum":91085,"residue":581},{"from_index":245,"to_index":454,"sum":90672,"residue":168},{"from_index":454,"to_index":663,"sum":81867,"residue":581},{"from_index":663,"to_index":872,"sum":91929,"residue":587},{"from_index":872,"to_index":1081,"sum":87314,"residue":162},{"from_index":1081,"to_index":36,"sum":82711,"residue":587}],"minimal_cycle":[581,168,581,587,162,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[36,245],"circle_positions":838,"cycle_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":[37,246,455,664,873,1082],"clock_positions":[37,246,455,664,873,1082],"native_values":[791,240,791,659,372,659],"rotation_degrees":10.62200956937799,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[791,240,791,659,372,659],"beta":{"interval_sums":[90677,90557,81878,91395,87325,82596],"interval_residues":[173,53,592,53,173,472],"display_cycle":[173,53,592,53,173,472],"intervals":[{"from_index":37,"to_index":246,"sum":90677,"residue":173},{"from_index":246,"to_index":455,"sum":90557,"residue":53},{"from_index":455,"to_index":664,"sum":81878,"residue":592},{"from_index":664,"to_index":873,"sum":91395,"residue":53},{"from_index":873,"to_index":1082,"sum":87325,"residue":173},{"from_index":1082,"to_index":37,"sum":82596,"residue":472}],"minimal_cycle":[173,53,592,53,173,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":173,"start_interval_clock_positions":[37,246],"circle_positions":838,"cycle_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":[38,247,456,665,874,1083],"clock_positions":[38,247,456,665,874,1083],"native_values":[497,623,78,623,497,204],"rotation_degrees":10.909090909090908,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,623,78,623,497,204],"beta":{"interval_sums":[90420,90725,82459,91144,87487,83183],"interval_residues":[754,221,335,640,335,221],"display_cycle":[754,221,335,640,335,221],"intervals":[{"from_index":38,"to_index":247,"sum":90420,"residue":754},{"from_index":247,"to_index":456,"sum":90725,"residue":221},{"from_index":456,"to_index":665,"sum":82459,"residue":335},{"from_index":665,"to_index":874,"sum":91144,"residue":640},{"from_index":874,"to_index":1083,"sum":87487,"residue":335},{"from_index":1083,"to_index":38,"sum":83183,"residue":221}],"minimal_cycle":[754,221,335,640,335,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":754,"start_interval_clock_positions":[38,247],"circle_positions":838,"cycle_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":[39,248,457,666,875,1084],"clock_positions":[39,248,457,666,875,1084],"native_values":[450,25,31,444,31,25],"rotation_degrees":11.196172248803828,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,25,31,444,31,25],"beta":{"interval_sums":[90593,90778,83051,91197,87660,83655],"interval_residues":[89,274,89,693,508,693],"display_cycle":[89,274,89,693,508,693],"intervals":[{"from_index":39,"to_index":248,"sum":90593,"residue":89},{"from_index":248,"to_index":457,"sum":90778,"residue":274},{"from_index":457,"to_index":666,"sum":83051,"residue":89},{"from_index":666,"to_index":875,"sum":91197,"residue":693},{"from_index":875,"to_index":1084,"sum":87660,"residue":508},{"from_index":1084,"to_index":39,"sum":83655,"residue":693}],"minimal_cycle":[89,274,89,693,508,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[39,248],"circle_positions":838,"cycle_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":[40,249,458,667,876,1085],"clock_positions":[40,249,458,667,876,1085],"native_values":[109,648,109,229,528,229],"rotation_degrees":11.483253588516746,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,648,109,229,528,229],"beta":{"interval_sums":[90509,90161,83386,90999,87157,83876],"interval_residues":[5,495,424,495,5,76],"display_cycle":[5,495,424,495,5,76],"intervals":[{"from_index":40,"to_index":249,"sum":90509,"residue":5},{"from_index":249,"to_index":458,"sum":90161,"residue":495},{"from_index":458,"to_index":667,"sum":83386,"residue":424},{"from_index":667,"to_index":876,"sum":90999,"residue":495},{"from_index":876,"to_index":1085,"sum":87157,"residue":5},{"from_index":1085,"to_index":40,"sum":83876,"residue":76}],"minimal_cycle":[5,495,424,495,5,76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[40,249],"circle_positions":838,"cycle_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":[41,250,459,668,877,1086],"clock_positions":[41,250,459,668,877,1086],"native_values":[559,673,140,673,559,254],"rotation_degrees":11.770334928229666,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,673,140,673,559,254],"beta":{"interval_sums":[90598,89597,83475,90854,86827,83731],"interval_residues":[94,769,513,350,513,769],"display_cycle":[94,769,513,350,513,769],"intervals":[{"from_index":41,"to_index":250,"sum":90598,"residue":94},{"from_index":250,"to_index":459,"sum":89597,"residue":769},{"from_index":459,"to_index":668,"sum":83475,"residue":513},{"from_index":668,"to_index":877,"sum":90854,"residue":350},{"from_index":877,"to_index":1086,"sum":86827,"residue":513},{"from_index":1086,"to_index":41,"sum":83731,"residue":769}],"minimal_cycle":[94,769,513,350,513,769],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[41,250],"circle_positions":838,"cycle_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":[42,251,460,669,878,1087],"clock_positions":[42,251,460,669,878,1087],"native_values":[668,483,249,64,249,483],"rotation_degrees":12.057416267942584,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[668,483,249,64,249,483],"beta":{"interval_sums":[90603,89254,83899,91349,86832,83807],"interval_residues":[99,426,99,7,518,7],"display_cycle":[99,426,99,7,518,7],"intervals":[{"from_index":42,"to_index":251,"sum":90603,"residue":99},{"from_index":251,"to_index":460,"sum":89254,"residue":426},{"from_index":460,"to_index":669,"sum":83899,"residue":99},{"from_index":669,"to_index":878,"sum":91349,"residue":7},{"from_index":878,"to_index":1087,"sum":86832,"residue":518},{"from_index":1087,"to_index":42,"sum":83807,"residue":7}],"minimal_cycle":[99,426,99,7,518,7],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[42,251],"circle_positions":838,"cycle_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":[43,252,461,670,879,1088],"clock_positions":[43,252,461,670,879,1088],"native_values":[389,318,389,737,808,737],"rotation_degrees":12.344497607655502,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,318,389,737,808,737],"beta":{"interval_sums":[90697,89185,83574,90861,86507,83738],"interval_residues":[193,357,612,357,193,776],"display_cycle":[193,357,612,357,193,776],"intervals":[{"from_index":43,"to_index":252,"sum":90697,"residue":193},{"from_index":252,"to_index":461,"sum":89185,"residue":357},{"from_index":461,"to_index":670,"sum":83574,"residue":612},{"from_index":670,"to_index":879,"sum":90861,"residue":357},{"from_index":879,"to_index":1088,"sum":86507,"residue":193},{"from_index":1088,"to_index":43,"sum":83738,"residue":776}],"minimal_cycle":[193,357,612,357,193,776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[43,252],"circle_positions":838,"cycle_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":[44,253,462,671,880,1089],"clock_positions":[44,253,462,671,880,1089],"native_values":[219,801,638,801,219,382],"rotation_degrees":12.631578947368421,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,801,638,801,219,382],"beta":{"interval_sums":[90796,88773,83673,90868,87025,83745],"interval_residues":[292,783,711,364,711,783],"display_cycle":[292,783,711,364,711,783],"intervals":[{"from_index":44,"to_index":253,"sum":90796,"residue":292},{"from_index":253,"to_index":462,"sum":88773,"residue":783},{"from_index":462,"to_index":671,"sum":83673,"residue":711},{"from_index":671,"to_index":880,"sum":90868,"residue":364},{"from_index":880,"to_index":1089,"sum":87025,"residue":711},{"from_index":1089,"to_index":44,"sum":83745,"residue":783}],"minimal_cycle":[292,783,711,364,711,783],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[44,253],"circle_positions":838,"cycle_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":[45,254,463,672,881,1090],"clock_positions":[45,254,463,672,881,1090],"native_values":[608,281,189,700,189,281],"rotation_degrees":12.91866028708134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[608,281,189,700,189,281],"beta":{"interval_sums":[90989,89130,84285,90387,87218,83683],"interval_residues":[485,302,485,721,66,721],"display_cycle":[485,302,485,721,66,721],"intervals":[{"from_index":45,"to_index":254,"sum":90989,"residue":485},{"from_index":254,"to_index":463,"sum":89130,"residue":302},{"from_index":463,"to_index":672,"sum":84285,"residue":485},{"from_index":672,"to_index":881,"sum":90387,"residue":721},{"from_index":881,"to_index":1090,"sum":87218,"residue":66},{"from_index":1090,"to_index":45,"sum":83683,"residue":721}],"minimal_cycle":[485,302,485,721,66,721],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[45,254],"circle_positions":838,"cycle_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":[46,255,464,673,882,1091],"clock_positions":[46,255,464,673,882,1091],"native_values":[827,244,827,663,408,663],"rotation_degrees":13.205741626794259,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[827,244,827,663,408,663],"beta":{"interval_sums":[90443,89075,84158,89913,87091,83628],"interval_residues":[777,247,358,247,777,666],"display_cycle":[777,247,358,247,777,666],"intervals":[{"from_index":46,"to_index":255,"sum":90443,"residue":777},{"from_index":255,"to_index":464,"sum":89075,"residue":247},{"from_index":464,"to_index":673,"sum":84158,"residue":358},{"from_index":673,"to_index":882,"sum":89913,"residue":247},{"from_index":882,"to_index":1091,"sum":87091,"residue":777},{"from_index":1091,"to_index":46,"sum":83628,"residue":666}],"minimal_cycle":[777,247,358,247,777,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":777,"start_interval_clock_positions":[46,255],"circle_positions":838,"cycle_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":[47,256,465,674,883,1092],"clock_positions":[47,256,465,674,883,1092],"native_values":[597,525,178,525,597,106],"rotation_degrees":13.492822966507177,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,525,178,525,597,106],"beta":{"interval_sums":[90090,89377,84643,89796,87157,84349],"interval_residues":[424,549,5,130,5,549],"display_cycle":[424,549,5,130,5,549],"intervals":[{"from_index":47,"to_index":256,"sum":90090,"residue":424},{"from_index":256,"to_index":465,"sum":89377,"residue":549},{"from_index":465,"to_index":674,"sum":84643,"residue":5},{"from_index":674,"to_index":883,"sum":89796,"residue":130},{"from_index":883,"to_index":1092,"sum":87157,"residue":5},{"from_index":1092,"to_index":47,"sum":84349,"residue":549}],"minimal_cycle":[424,549,5,130,5,549],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[47,256],"circle_positions":838,"cycle_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":[48,257,466,675,884,1093],"clock_positions":[48,257,466,675,884,1093],"native_values":[586,769,167,350,167,769],"rotation_degrees":13.779904306220097,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,769,167,350,167,769],"beta":{"interval_sums":[90029,88786,85001,90043,87096,84177],"interval_residues":[363,796,363,377,782,377],"display_cycle":[363,796,363,377,782,377],"intervals":[{"from_index":48,"to_index":257,"sum":90029,"residue":363},{"from_index":257,"to_index":466,"sum":88786,"residue":796},{"from_index":466,"to_index":675,"sum":85001,"residue":363},{"from_index":675,"to_index":884,"sum":90043,"residue":377},{"from_index":884,"to_index":1093,"sum":87096,"residue":782},{"from_index":1093,"to_index":48,"sum":84177,"residue":377}],"minimal_cycle":[363,796,363,377,782,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":363,"start_interval_clock_positions":[48,257],"circle_positions":838,"cycle_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":[49,258,467,676,885,1094],"clock_positions":[49,258,467,676,885,1094],"native_values":[345,456,345,37,764,37],"rotation_degrees":14.066985645933014,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,456,345,37,764,37],"beta":{"interval_sums":[90453,88497,85006,90173,87101,84726],"interval_residues":[787,507,368,507,787,88],"display_cycle":[787,507,368,507,787,88],"intervals":[{"from_index":49,"to_index":258,"sum":90453,"residue":787},{"from_index":258,"to_index":467,"sum":88497,"residue":507},{"from_index":467,"to_index":676,"sum":85006,"residue":368},{"from_index":676,"to_index":885,"sum":90173,"residue":507},{"from_index":885,"to_index":1094,"sum":87101,"residue":787},{"from_index":1094,"to_index":49,"sum":84726,"residue":88}],"minimal_cycle":[787,507,368,507,787,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":787,"start_interval_clock_positions":[49,258],"circle_positions":838,"cycle_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":[50,259,468,677,886,1095],"clock_positions":[50,259,468,677,886,1095],"native_values":[93,387,512,387,93,806],"rotation_degrees":14.354066985645932,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,387,512,387,93,806],"beta":{"interval_sums":[90816,88455,84531,90550,87045,84265],"interval_residues":[312,465,731,46,731,465],"display_cycle":[312,465,731,46,731,465],"intervals":[{"from_index":50,"to_index":259,"sum":90816,"residue":312},{"from_index":259,"to_index":468,"sum":88455,"residue":465},{"from_index":468,"to_index":677,"sum":84531,"residue":731},{"from_index":677,"to_index":886,"sum":90550,"residue":46},{"from_index":886,"to_index":1095,"sum":87045,"residue":731},{"from_index":1095,"to_index":50,"sum":84265,"residue":465}],"minimal_cycle":[312,465,731,46,731,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[50,259],"circle_positions":838,"cycle_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":[51,260,469,678,887,1096],"clock_positions":[51,260,469,678,887,1096],"native_values":[438,5,19,424,19,5],"rotation_degrees":14.641148325358852,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,5,19,424,19,5],"beta":{"interval_sums":[90765,88962,84899,90219,87832,84353],"interval_residues":[261,134,261,553,680,553],"display_cycle":[261,134,261,553,680,553],"intervals":[{"from_index":51,"to_index":260,"sum":90765,"residue":261},{"from_index":260,"to_index":469,"sum":88962,"residue":134},{"from_index":469,"to_index":678,"sum":84899,"residue":261},{"from_index":678,"to_index":887,"sum":90219,"residue":553},{"from_index":887,"to_index":1096,"sum":87832,"residue":680},{"from_index":1096,"to_index":51,"sum":84353,"residue":553}],"minimal_cycle":[261,134,261,553,680,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":261,"start_interval_clock_positions":[51,260],"circle_positions":838,"cycle_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":[52,261,470,679,888,1097],"clock_positions":[52,261,470,679,888,1097],"native_values":[531,392,531,811,112,811],"rotation_degrees":14.92822966507177,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,392,531,811,112,811],"beta":{"interval_sums":[90239,88589,84792,89427,87725,83980],"interval_residues":[573,599,154,599,573,180],"display_cycle":[573,599,154,599,573,180],"intervals":[{"from_index":52,"to_index":261,"sum":90239,"residue":573},{"from_index":261,"to_index":470,"sum":88589,"residue":599},{"from_index":470,"to_index":679,"sum":84792,"residue":154},{"from_index":679,"to_index":888,"sum":89427,"residue":599},{"from_index":888,"to_index":1097,"sum":87725,"residue":573},{"from_index":1097,"to_index":52,"sum":83980,"residue":180}],"minimal_cycle":[573,599,154,599,573,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[52,261],"circle_positions":838,"cycle_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":[53,262,471,680,889,1098],"clock_positions":[53,262,471,680,889,1098],"native_values":[131,397,550,397,131,816],"rotation_degrees":15.21531100478469,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,397,550,397,131,816],"beta":{"interval_sums":[90500,88723,85053,89142,88405,83695],"interval_residues":[834,733,415,314,415,733],"display_cycle":[834,733,415,314,415,733],"intervals":[{"from_index":53,"to_index":262,"sum":90500,"residue":834},{"from_index":262,"to_index":471,"sum":88723,"residue":733},{"from_index":471,"to_index":680,"sum":85053,"residue":415},{"from_index":680,"to_index":889,"sum":89142,"residue":314},{"from_index":889,"to_index":1098,"sum":88405,"residue":415},{"from_index":1098,"to_index":53,"sum":83695,"residue":733}],"minimal_cycle":[834,733,415,314,415,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":834,"start_interval_clock_positions":[53,262],"circle_positions":838,"cycle_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":[54,263,472,681,890,1099],"clock_positions":[54,263,472,681,890,1099],"native_values":[662,789,243,370,243,789],"rotation_degrees":15.502392344497608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[662,789,243,370,243,789],"beta":{"interval_sums":[90235,88484,85207,88903,88978,83037],"interval_residues":[569,494,569,75,150,75],"display_cycle":[569,494,569,75,150,75],"intervals":[{"from_index":54,"to_index":263,"sum":90235,"residue":569},{"from_index":263,"to_index":472,"sum":88484,"residue":494},{"from_index":472,"to_index":681,"sum":85207,"residue":569},{"from_index":681,"to_index":890,"sum":88903,"residue":75},{"from_index":890,"to_index":1099,"sum":88978,"residue":150},{"from_index":1099,"to_index":54,"sum":83037,"residue":75}],"minimal_cycle":[569,494,569,75,150,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":569,"start_interval_clock_positions":[54,263],"circle_positions":838,"cycle_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":[55,264,473,682,891,1100],"clock_positions":[55,264,473,682,891,1100],"native_values":[793,348,793,767,374,767],"rotation_degrees":15.789473684210526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,348,793,767,374,767],"beta":{"interval_sums":[90231,88379,84784,88379,89393,82932],"interval_residues":[565,389,146,389,565,808],"display_cycle":[565,389,146,389,565,808],"intervals":[{"from_index":55,"to_index":264,"sum":90231,"residue":565},{"from_index":264,"to_index":473,"sum":88379,"residue":389},{"from_index":473,"to_index":682,"sum":84784,"residue":146},{"from_index":682,"to_index":891,"sum":88379,"residue":389},{"from_index":891,"to_index":1100,"sum":89393,"residue":565},{"from_index":1100,"to_index":55,"sum":82932,"residue":808}],"minimal_cycle":[565,389,146,389,565,808],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":565,"start_interval_clock_positions":[55,264],"circle_positions":838,"cycle_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":[56,265,474,683,892,1101],"clock_positions":[56,265,474,683,892,1101],"native_values":[617,299,198,299,617,718],"rotation_degrees":16.076555023923444,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,299,198,299,617,718],"beta":{"interval_sums":[89962,88873,85353,88454,89543,83007],"interval_residues":[296,45,715,464,715,45],"display_cycle":[296,45,715,464,715,45],"intervals":[{"from_index":56,"to_index":265,"sum":89962,"residue":296},{"from_index":265,"to_index":474,"sum":88873,"residue":45},{"from_index":474,"to_index":683,"sum":85353,"residue":715},{"from_index":683,"to_index":892,"sum":88454,"residue":464},{"from_index":892,"to_index":1101,"sum":89543,"residue":715},{"from_index":1101,"to_index":56,"sum":83007,"residue":45}],"minimal_cycle":[296,45,715,464,715,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[56,265],"circle_positions":838,"cycle_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":[57,266,475,684,893,1102],"clock_positions":[57,266,475,684,893,1102],"native_values":[572,647,153,228,153,647],"rotation_degrees":16.363636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[572,647,153,228,153,647],"beta":{"interval_sums":[89689,88424,85499,88843,90108,82977],"interval_residues":[23,434,23,15,442,15],"display_cycle":[23,434,23,15,442,15],"intervals":[{"from_index":57,"to_index":266,"sum":89689,"residue":23},{"from_index":266,"to_index":475,"sum":88424,"residue":434},{"from_index":475,"to_index":684,"sum":85499,"residue":23},{"from_index":684,"to_index":893,"sum":88843,"residue":15},{"from_index":893,"to_index":1102,"sum":90108,"residue":442},{"from_index":1102,"to_index":57,"sum":82977,"residue":15}],"minimal_cycle":[23,434,23,15,442,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":23,"start_interval_clock_positions":[57,266],"circle_positions":838,"cycle_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":[58,267,476,685,894,1103],"clock_positions":[58,267,476,685,894,1103],"native_values":[351,108,351,527,770,527],"rotation_degrees":16.650717703349283,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,108,351,527,770,527],"beta":{"interval_sums":[89985,88469,85376,88469,89985,83022],"interval_residues":[319,479,738,479,319,60],"display_cycle":[319,479,738,479,319,60],"intervals":[{"from_index":58,"to_index":267,"sum":89985,"residue":319},{"from_index":267,"to_index":476,"sum":88469,"residue":479},{"from_index":476,"to_index":685,"sum":85376,"residue":738},{"from_index":685,"to_index":894,"sum":88469,"residue":479},{"from_index":894,"to_index":1103,"sum":89985,"residue":319},{"from_index":1103,"to_index":58,"sum":83022,"residue":60}],"minimal_cycle":[319,479,738,479,319,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[58,267],"circle_positions":838,"cycle_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":[59,268,477,686,895,1104],"clock_positions":[59,268,477,686,895,1104],"native_values":[85,755,504,755,85,336],"rotation_degrees":16.9377990430622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,755,504,755,85,336],"beta":{"interval_sums":[90008,88065,85399,88484,90427,83037],"interval_residues":[342,75,761,494,761,75],"display_cycle":[342,75,761,494,761,75],"intervals":[{"from_index":59,"to_index":268,"sum":90008,"residue":342},{"from_index":268,"to_index":477,"sum":88065,"residue":75},{"from_index":477,"to_index":686,"sum":85399,"residue":761},{"from_index":686,"to_index":895,"sum":88484,"residue":494},{"from_index":895,"to_index":1104,"sum":90427,"residue":761},{"from_index":1104,"to_index":59,"sum":83037,"residue":75}],"minimal_cycle":[342,75,761,494,761,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[59,268],"circle_positions":838,"cycle_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":[60,269,478,687,896,1105],"clock_positions":[60,269,478,687,896,1105],"native_values":[436,25,17,444,17,25],"rotation_degrees":17.22488038277512,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[436,25,17,444,17,25],"beta":{"interval_sums":[90327,88544,86137,88125,90746,83097],"interval_residues":[661,554,661,135,242,135],"display_cycle":[661,554,661,135,242,135],"intervals":[{"from_index":60,"to_index":269,"sum":90327,"residue":661},{"from_index":269,"to_index":478,"sum":88544,"residue":554},{"from_index":478,"to_index":687,"sum":86137,"residue":661},{"from_index":687,"to_index":896,"sum":88125,"residue":135},{"from_index":896,"to_index":1105,"sum":90746,"residue":242},{"from_index":1105,"to_index":60,"sum":83097,"residue":135}],"minimal_cycle":[661,554,661,135,242,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[60,269],"circle_positions":838,"cycle_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":[61,270,479,688,897,1106],"clock_positions":[61,270,479,688,897,1106],"native_values":[521,780,521,361,102,361],"rotation_degrees":17.51196172248804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,780,521,361,102,361],"beta":{"interval_sums":[89831,87781,86060,87781,90669,83172],"interval_residues":[165,629,584,629,165,210],"display_cycle":[165,629,584,629,165,210],"intervals":[{"from_index":61,"to_index":270,"sum":89831,"residue":165},{"from_index":270,"to_index":479,"sum":87781,"residue":629},{"from_index":479,"to_index":688,"sum":86060,"residue":584},{"from_index":688,"to_index":897,"sum":87781,"residue":629},{"from_index":897,"to_index":1106,"sum":90669,"residue":165},{"from_index":1106,"to_index":61,"sum":83172,"residue":210}],"minimal_cycle":[165,629,584,629,165,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[61,270],"circle_positions":838,"cycle_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":[62,271,480,689,898,1107],"clock_positions":[62,271,480,689,898,1107],"native_values":[119,805,538,805,119,386],"rotation_degrees":17.79904306220096,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,805,538,805,119,386],"beta":{"interval_sums":[90492,87497,85883,87078,90911,83307],"interval_residues":[826,345,407,764,407,345],"display_cycle":[826,345,407,764,407,345],"intervals":[{"from_index":62,"to_index":271,"sum":90492,"residue":826},{"from_index":271,"to_index":480,"sum":87497,"residue":345},{"from_index":480,"to_index":689,"sum":85883,"residue":407},{"from_index":689,"to_index":898,"sum":87078,"residue":764},{"from_index":898,"to_index":1107,"sum":90911,"residue":407},{"from_index":1107,"to_index":62,"sum":83307,"residue":345}],"minimal_cycle":[826,345,407,764,407,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":826,"start_interval_clock_positions":[62,271],"circle_positions":838,"cycle_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":[63,272,481,690,899,1108],"clock_positions":[63,272,481,690,899,1108],"native_values":[640,747,221,328,221,747],"rotation_degrees":18.086124401913874,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,747,221,328,221,747],"beta":{"interval_sums":[90657,87288,86467,86869,91076,82679],"interval_residues":[153,136,153,555,572,555],"display_cycle":[153,136,153,555,572,555],"intervals":[{"from_index":63,"to_index":272,"sum":90657,"residue":153},{"from_index":272,"to_index":481,"sum":87288,"residue":136},{"from_index":481,"to_index":690,"sum":86467,"residue":153},{"from_index":690,"to_index":899,"sum":86869,"residue":555},{"from_index":899,"to_index":1108,"sum":91076,"residue":572},{"from_index":1108,"to_index":63,"sum":82679,"residue":555}],"minimal_cycle":[153,136,153,555,572,555],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[63,272],"circle_positions":838,"cycle_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":[64,273,482,691,900,1109],"clock_positions":[64,273,482,691,900,1109],"native_values":[759,714,759,295,340,295],"rotation_degrees":18.373205741626794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[759,714,759,295,340,295],"beta":{"interval_sums":[90645,86795,86036,86795,91483,83024],"interval_residues":[141,481,560,481,141,62],"display_cycle":[141,481,560,481,141,62],"intervals":[{"from_index":64,"to_index":273,"sum":90645,"residue":141},{"from_index":273,"to_index":482,"sum":86795,"residue":481},{"from_index":482,"to_index":691,"sum":86036,"residue":560},{"from_index":691,"to_index":900,"sum":86795,"residue":481},{"from_index":900,"to_index":1109,"sum":91483,"residue":141},{"from_index":1109,"to_index":64,"sum":83024,"residue":62}],"minimal_cycle":[141,481,560,481,141,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[64,273],"circle_positions":838,"cycle_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":[65,274,483,692,901,1110],"clock_positions":[65,274,483,692,901,1110],"native_values":[561,623,142,623,561,204],"rotation_degrees":18.660287081339714,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,623,142,623,561,204],"beta":{"interval_sums":[90798,86931,86189,86512,91217,83579],"interval_residues":[294,617,713,198,713,617],"display_cycle":[294,617,713,198,713,617],"intervals":[{"from_index":65,"to_index":274,"sum":90798,"residue":294},{"from_index":274,"to_index":483,"sum":86931,"residue":617},{"from_index":483,"to_index":692,"sum":86189,"residue":713},{"from_index":692,"to_index":901,"sum":86512,"residue":198},{"from_index":901,"to_index":1110,"sum":91217,"residue":713},{"from_index":1110,"to_index":65,"sum":83579,"residue":617}],"minimal_cycle":[294,617,713,198,713,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[65,274],"circle_positions":838,"cycle_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":[66,275,484,693,902,1111],"clock_positions":[66,275,484,693,902,1111],"native_values":[482,499,63,80,63,499],"rotation_degrees":18.94736842105263,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,499,63,80,63,499],"beta":{"interval_sums":[90939,86574,86749,86993,91358,83641],"interval_residues":[435,260,435,679,16,679],"display_cycle":[435,260,435,679,16,679],"intervals":[{"from_index":66,"to_index":275,"sum":90939,"residue":435},{"from_index":275,"to_index":484,"sum":86574,"residue":260},{"from_index":484,"to_index":693,"sum":86749,"residue":435},{"from_index":693,"to_index":902,"sum":86993,"residue":679},{"from_index":902,"to_index":1111,"sum":91358,"residue":16},{"from_index":1111,"to_index":66,"sum":83641,"residue":679}],"minimal_cycle":[435,260,435,679,16,679],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[66,275],"circle_positions":838,"cycle_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":[67,276,485,694,903,1112],"clock_positions":[67,276,485,694,903,1112],"native_values":[205,284,205,703,624,703],"rotation_degrees":19.23444976076555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,284,205,703,624,703],"beta":{"interval_sums":[91233,86353,86624,86353,91233,83420],"interval_residues":[729,39,310,39,729,458],"display_cycle":[729,39,310,39,729,458],"intervals":[{"from_index":67,"to_index":276,"sum":91233,"residue":729},{"from_index":276,"to_index":485,"sum":86353,"residue":39},{"from_index":485,"to_index":694,"sum":86624,"residue":310},{"from_index":694,"to_index":903,"sum":86353,"residue":39},{"from_index":903,"to_index":1112,"sum":91233,"residue":729},{"from_index":1112,"to_index":67,"sum":83420,"residue":458}],"minimal_cycle":[729,39,310,39,729,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":729,"start_interval_clock_positions":[67,276],"circle_positions":838,"cycle_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":[68,277,486,695,904,1113],"clock_positions":[68,277,486,695,904,1113],"native_values":[687,783,268,783,687,364],"rotation_degrees":19.52153110047847,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[687,783,268,783,687,364],"beta":{"interval_sums":[90830,85775,87059,86194,91249,83261],"interval_residues":[326,299,745,718,745,299],"display_cycle":[326,299,745,718,745,299],"intervals":[{"from_index":68,"to_index":277,"sum":90830,"residue":326},{"from_index":277,"to_index":486,"sum":85775,"residue":299},{"from_index":486,"to_index":695,"sum":87059,"residue":745},{"from_index":695,"to_index":904,"sum":86194,"residue":718},{"from_index":904,"to_index":1113,"sum":91249,"residue":745},{"from_index":1113,"to_index":68,"sum":83261,"residue":299}],"minimal_cycle":[326,299,745,718,745,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[68,277],"circle_positions":838,"cycle_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":[69,278,487,696,905,1114],"clock_positions":[69,278,487,696,905,1114],"native_values":[54,229,473,648,473,229],"rotation_degrees":19.80861244019139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[54,229,473,648,473,229],"beta":{"interval_sums":[91559,85814,87369,86233,91140,83719],"interval_residues":[217,338,217,757,636,757],"display_cycle":[217,338,217,757,636,757],"intervals":[{"from_index":69,"to_index":278,"sum":91559,"residue":217},{"from_index":278,"to_index":487,"sum":85814,"residue":338},{"from_index":487,"to_index":696,"sum":87369,"residue":217},{"from_index":696,"to_index":905,"sum":86233,"residue":757},{"from_index":905,"to_index":1114,"sum":91140,"residue":636},{"from_index":1114,"to_index":69,"sum":83719,"residue":757}],"minimal_cycle":[217,338,217,757,636,757],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":217,"start_interval_clock_positions":[69,278],"circle_positions":838,"cycle_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":[70,279,488,697,906,1115],"clock_positions":[70,279,488,697,906,1115],"native_values":[741,174,741,593,322,593],"rotation_degrees":20.095693779904305,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,174,741,593,322,593],"beta":{"interval_sums":[91047,86113,87276,86113,91047,83180],"interval_residues":[543,637,124,637,543,218],"display_cycle":[543,637,124,637,543,218],"intervals":[{"from_index":70,"to_index":279,"sum":91047,"residue":543},{"from_index":279,"to_index":488,"sum":86113,"residue":637},{"from_index":488,"to_index":697,"sum":87276,"residue":124},{"from_index":697,"to_index":906,"sum":86113,"residue":637},{"from_index":906,"to_index":1115,"sum":91047,"residue":543},{"from_index":1115,"to_index":70,"sum":83180,"residue":218}],"minimal_cycle":[543,637,124,637,543,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[70,279],"circle_positions":838,"cycle_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":[71,280,489,698,907,1116],"clock_positions":[71,280,489,698,907,1116],"native_values":[795,403,376,403,795,822],"rotation_degrees":20.382775119617225,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,403,376,403,795,822],"beta":{"interval_sums":[90426,86451,87493,86032,90845,83099],"interval_residues":[760,137,341,556,341,137],"display_cycle":[760,137,341,556,341,137],"intervals":[{"from_index":71,"to_index":280,"sum":90426,"residue":760},{"from_index":280,"to_index":489,"sum":86451,"residue":137},{"from_index":489,"to_index":698,"sum":87493,"residue":341},{"from_index":698,"to_index":907,"sum":86032,"residue":556},{"from_index":907,"to_index":1116,"sum":90845,"residue":341},{"from_index":1116,"to_index":71,"sum":83099,"residue":137}],"minimal_cycle":[760,137,341,556,341,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[71,280],"circle_positions":838,"cycle_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":[72,281,490,699,908,1117],"clock_positions":[72,281,490,699,908,1117],"native_values":[698,577,279,158,279,577],"rotation_degrees":20.669856459330145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[698,577,279,158,279,577],"beta":{"interval_sums":[90131,86250,87617,86669,91388,83317],"interval_residues":[465,774,465,355,46,355],"display_cycle":[465,774,465,355,46,355],"intervals":[{"from_index":72,"to_index":281,"sum":90131,"residue":465},{"from_index":281,"to_index":490,"sum":86250,"residue":774},{"from_index":490,"to_index":699,"sum":87617,"residue":465},{"from_index":699,"to_index":908,"sum":86669,"residue":355},{"from_index":908,"to_index":1117,"sum":91388,"residue":46},{"from_index":1117,"to_index":72,"sum":83317,"residue":355}],"minimal_cycle":[465,774,465,355,46,355],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[72,281],"circle_positions":838,"cycle_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":[73,282,491,700,909,1118],"clock_positions":[73,282,491,700,909,1118],"native_values":[655,142,655,561,236,561],"rotation_degrees":20.95693779904306,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,142,655,561,236,561],"beta":{"interval_sums":[90053,86387,87120,86387,91729,83454],"interval_residues":[387,73,806,73,387,492],"display_cycle":[387,73,806,73,387,492],"intervals":[{"from_index":73,"to_index":282,"sum":90053,"residue":387},{"from_index":282,"to_index":491,"sum":86387,"residue":73},{"from_index":491,"to_index":700,"sum":87120,"residue":806},{"from_index":700,"to_index":909,"sum":86387,"residue":73},{"from_index":909,"to_index":1118,"sum":91729,"residue":387},{"from_index":1118,"to_index":73,"sum":83454,"residue":492}],"minimal_cycle":[387,73,806,73,387,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[73,282],"circle_positions":838,"cycle_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":[74,283,492,701,910,1119],"clock_positions":[74,283,492,701,910,1119],"native_values":[515,719,96,719,515,300],"rotation_degrees":21.24401913875598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[515,719,96,719,515,300],"beta":{"interval_sums":[89680,86323,87585,85904,91775,83809],"interval_residues":[14,9,433,428,433,9],"display_cycle":[14,9,433,428,433,9],"intervals":[{"from_index":74,"to_index":283,"sum":89680,"residue":14},{"from_index":283,"to_index":492,"sum":86323,"residue":9},{"from_index":492,"to_index":701,"sum":87585,"residue":433},{"from_index":701,"to_index":910,"sum":85904,"residue":428},{"from_index":910,"to_index":1119,"sum":91775,"residue":433},{"from_index":1119,"to_index":74,"sum":83809,"residue":9}],"minimal_cycle":[14,9,433,428,433,9],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[74,283],"circle_positions":838,"cycle_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":[75,284,493,702,911,1120],"clock_positions":[75,284,493,702,911,1120],"native_values":[332,23,751,442,751,23],"rotation_degrees":21.5311004784689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[332,23,751,442,751,23],"beta":{"interval_sums":[90067,86396,87553,85977,91324,84301],"interval_residues":[401,82,401,501,820,501],"display_cycle":[401,82,401,501,820,501],"intervals":[{"from_index":75,"to_index":284,"sum":90067,"residue":401},{"from_index":284,"to_index":493,"sum":86396,"residue":82},{"from_index":493,"to_index":702,"sum":87553,"residue":401},{"from_index":702,"to_index":911,"sum":85977,"residue":501},{"from_index":911,"to_index":1120,"sum":91324,"residue":820},{"from_index":1120,"to_index":75,"sum":84301,"residue":501}],"minimal_cycle":[401,82,401,501,820,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":401,"start_interval_clock_positions":[75,284],"circle_positions":838,"cycle_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":[76,285,494,703,912,1121],"clock_positions":[76,285,494,703,912,1121],"native_values":[9,742,9,323,428,323],"rotation_degrees":21.818181818181817,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,742,9,323,428,323],"beta":{"interval_sums":[90081,86405,87986,86405,90919,84310],"interval_residues":[415,91,834,91,415,510],"display_cycle":[415,91,834,91,415,510],"intervals":[{"from_index":76,"to_index":285,"sum":90081,"residue":415},{"from_index":285,"to_index":494,"sum":86405,"residue":91},{"from_index":494,"to_index":703,"sum":87986,"residue":834},{"from_index":703,"to_index":912,"sum":86405,"residue":91},{"from_index":912,"to_index":1121,"sum":90919,"residue":415},{"from_index":1121,"to_index":76,"sum":84310,"residue":510}],"minimal_cycle":[415,91,834,91,415,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":415,"start_interval_clock_positions":[76,285],"circle_positions":838,"cycle_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":[77,286,495,704,913,1122],"clock_positions":[77,286,495,704,913,1122],"native_values":[341,765,760,765,341,346],"rotation_degrees":22.105263157894736,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,765,760,765,341,346],"beta":{"interval_sums":[90482,85649,87549,86068,90901,83973],"interval_residues":[816,173,397,592,397,173],"display_cycle":[816,173,397,592,397,173],"intervals":[{"from_index":77,"to_index":286,"sum":90482,"residue":816},{"from_index":286,"to_index":495,"sum":85649,"residue":173},{"from_index":495,"to_index":704,"sum":87549,"residue":397},{"from_index":704,"to_index":913,"sum":86068,"residue":592},{"from_index":913,"to_index":1122,"sum":90901,"residue":397},{"from_index":1122,"to_index":77,"sum":83973,"residue":173}],"minimal_cycle":[816,173,397,592,397,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":816,"start_interval_clock_positions":[77,286],"circle_positions":838,"cycle_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":[78,287,496,705,914,1123],"clock_positions":[78,287,496,705,914,1123],"native_values":[350,669,769,250,769,669],"rotation_degrees":22.392344497607656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[350,669,769,250,769,669],"beta":{"interval_sums":[90897,85740,87545,86159,90478,83645],"interval_residues":[393,264,393,683,812,683],"display_cycle":[393,264,393,683,812,683],"intervals":[{"from_index":78,"to_index":287,"sum":90897,"residue":393},{"from_index":287,"to_index":496,"sum":85740,"residue":264},{"from_index":496,"to_index":705,"sum":87545,"residue":393},{"from_index":705,"to_index":914,"sum":86159,"residue":683},{"from_index":914,"to_index":1123,"sum":90478,"residue":812},{"from_index":1123,"to_index":78,"sum":83645,"residue":683}],"minimal_cycle":[393,264,393,683,812,683],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[78,287],"circle_positions":838,"cycle_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":[79,288,497,706,915,1124],"clock_positions":[79,288,497,706,915,1124],"native_values":[691,596,691,177,272,177],"rotation_degrees":22.679425837320576,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,596,691,177,272,177],"beta":{"interval_sums":[90875,85913,87104,86751,90875,83818],"interval_residues":[371,437,790,437,371,18],"display_cycle":[371,437,790,437,371,18],"intervals":[{"from_index":79,"to_index":288,"sum":90875,"residue":371},{"from_index":288,"to_index":497,"sum":85913,"residue":437},{"from_index":497,"to_index":706,"sum":87104,"residue":790},{"from_index":706,"to_index":915,"sum":86751,"residue":437},{"from_index":915,"to_index":1124,"sum":90875,"residue":371},{"from_index":1124,"to_index":79,"sum":83818,"residue":18}],"minimal_cycle":[371,437,790,437,371,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":371,"start_interval_clock_positions":[79,288],"circle_positions":838,"cycle_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":[80,289,498,707,916,1125],"clock_positions":[80,289,498,707,916,1125],"native_values":[203,427,622,427,203,8],"rotation_degrees":22.966507177033492,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,427,622,427,203,8],"beta":{"interval_sums":[91268,86177,86659,86596,90849,84501],"interval_residues":[764,701,345,282,345,701],"display_cycle":[764,701,345,282,345,701],"intervals":[{"from_index":80,"to_index":289,"sum":91268,"residue":764},{"from_index":289,"to_index":498,"sum":86177,"residue":701},{"from_index":498,"to_index":707,"sum":86659,"residue":345},{"from_index":707,"to_index":916,"sum":86596,"residue":282},{"from_index":916,"to_index":1125,"sum":90849,"residue":345},{"from_index":1125,"to_index":80,"sum":84501,"residue":701}],"minimal_cycle":[764,701,345,282,345,701],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[80,289],"circle_positions":838,"cycle_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":[81,290,499,708,917,1126],"clock_positions":[81,290,499,708,917,1126],"native_values":[56,185,475,604,475,185],"rotation_degrees":23.25358851674641,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,185,475,604,475,185],"beta":{"interval_sums":[91639,86614,86611,86195,90382,84519],"interval_residues":[297,300,297,719,716,719],"display_cycle":[297,300,297,719,716,719],"intervals":[{"from_index":81,"to_index":290,"sum":91639,"residue":297},{"from_index":290,"to_index":499,"sum":86614,"residue":300},{"from_index":499,"to_index":708,"sum":86611,"residue":297},{"from_index":708,"to_index":917,"sum":86195,"residue":719},{"from_index":917,"to_index":1126,"sum":90382,"residue":716},{"from_index":1126,"to_index":81,"sum":84519,"residue":719}],"minimal_cycle":[297,300,297,719,716,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[81,290],"circle_positions":838,"cycle_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":[82,291,500,709,918,1127],"clock_positions":[82,291,500,709,918,1127],"native_values":[259,612,259,193,678,193],"rotation_degrees":23.54066985645933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,612,259,193,678,193],"beta":{"interval_sums":[91565,86477,86956,86477,89889,84382],"interval_residues":[223,163,642,163,223,582],"display_cycle":[223,163,642,163,223,582],"intervals":[{"from_index":82,"to_index":291,"sum":91565,"residue":223},{"from_index":291,"to_index":500,"sum":86477,"residue":163},{"from_index":500,"to_index":709,"sum":86956,"residue":642},{"from_index":709,"to_index":918,"sum":86477,"residue":163},{"from_index":918,"to_index":1127,"sum":89889,"residue":223},{"from_index":1127,"to_index":82,"sum":84382,"residue":582}],"minimal_cycle":[223,163,642,163,223,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[82,291],"circle_positions":838,"cycle_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":[83,292,501,710,919,1128],"clock_positions":[83,292,501,710,919,1128],"native_values":[315,797,734,797,315,378],"rotation_degrees":23.827751196172247,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,797,734,797,315,378],"beta":{"interval_sums":[91862,85939,86415,86358,89767,84263],"interval_residues":[520,463,101,44,101,463],"display_cycle":[520,463,101,44,101,463],"intervals":[{"from_index":83,"to_index":292,"sum":91862,"residue":520},{"from_index":292,"to_index":501,"sum":85939,"residue":463},{"from_index":501,"to_index":710,"sum":86415,"residue":101},{"from_index":710,"to_index":919,"sum":86358,"residue":44},{"from_index":919,"to_index":1128,"sum":89767,"residue":101},{"from_index":1128,"to_index":83,"sum":84263,"residue":463}],"minimal_cycle":[520,463,101,44,101,463],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[83,292],"circle_positions":838,"cycle_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":[84,293,502,711,920,1129],"clock_positions":[84,293,502,711,920,1129],"native_values":[574,571,155,152,155,571],"rotation_degrees":24.114832535885167,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,571,155,152,155,571],"beta":{"interval_sums":[92085,86102,87057,86521,89990,84007],"interval_residues":[743,626,743,207,324,207],"display_cycle":[743,626,743,207,324,207],"intervals":[{"from_index":84,"to_index":293,"sum":92085,"residue":743},{"from_index":293,"to_index":502,"sum":86102,"residue":626},{"from_index":502,"to_index":711,"sum":87057,"residue":743},{"from_index":711,"to_index":920,"sum":86521,"residue":207},{"from_index":920,"to_index":1129,"sum":89990,"residue":324},{"from_index":1129,"to_index":84,"sum":84007,"residue":207}],"minimal_cycle":[743,626,743,207,324,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":743,"start_interval_clock_positions":[84,293],"circle_positions":838,"cycle_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":[85,294,503,712,921,1130],"clock_positions":[85,294,503,712,921,1130],"native_values":[51,530,51,111,470,111],"rotation_degrees":24.401913875598087,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,530,51,111,470,111],"beta":{"interval_sums":[92605,85727,87158,86565,90091,84470],"interval_residues":[425,251,6,251,425,670],"display_cycle":[425,251,6,251,425,670],"intervals":[{"from_index":85,"to_index":294,"sum":92605,"residue":425},{"from_index":294,"to_index":503,"sum":85727,"residue":251},{"from_index":503,"to_index":712,"sum":87158,"residue":6},{"from_index":712,"to_index":921,"sum":86565,"residue":251},{"from_index":921,"to_index":1130,"sum":90091,"residue":425},{"from_index":1130,"to_index":85,"sum":84470,"residue":670}],"minimal_cycle":[425,251,6,251,425,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[85,294],"circle_positions":838,"cycle_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":[86,295,504,713,922,1131],"clock_positions":[86,295,504,713,922,1131],"native_values":[625,263,206,263,625,682],"rotation_degrees":24.688995215311003,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,263,206,263,625,682],"beta":{"interval_sums":[92510,85515,87063,86772,89577,83839],"interval_residues":[330,39,749,458,749,39],"display_cycle":[330,39,749,458,749,39],"intervals":[{"from_index":86,"to_index":295,"sum":92510,"residue":330},{"from_index":295,"to_index":504,"sum":85515,"residue":39},{"from_index":504,"to_index":713,"sum":87063,"residue":749},{"from_index":713,"to_index":922,"sum":86772,"residue":458},{"from_index":922,"to_index":1131,"sum":89577,"residue":749},{"from_index":1131,"to_index":86,"sum":83839,"residue":39}],"minimal_cycle":[330,39,749,458,749,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[86,295],"circle_positions":838,"cycle_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":[87,296,505,714,923,1132],"clock_positions":[87,296,505,714,923,1132],"native_values":[676,793,257,374,257,793],"rotation_degrees":24.976076555023923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[676,793,257,374,257,793],"beta":{"interval_sums":[92097,84928,87069,87023,90002,83671],"interval_residues":[755,290,755,709,336,709],"display_cycle":[755,290,755,709,336,709],"intervals":[{"from_index":87,"to_index":296,"sum":92097,"residue":755},{"from_index":296,"to_index":505,"sum":84928,"residue":290},{"from_index":505,"to_index":714,"sum":87069,"residue":755},{"from_index":714,"to_index":923,"sum":87023,"residue":709},{"from_index":923,"to_index":1132,"sum":90002,"residue":336},{"from_index":1132,"to_index":87,"sum":83671,"residue":709}],"minimal_cycle":[755,290,755,709,336,709],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":755,"start_interval_clock_positions":[87,296],"circle_positions":838,"cycle_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":[88,297,506,715,924,1133],"clock_positions":[88,297,506,715,924,1133],"native_values":[463,218,463,637,44,637],"rotation_degrees":25.263157894736842,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,218,463,637,44,637],"beta":{"interval_sums":[92427,84967,86980,86643,90751,83710],"interval_residues":[247,329,666,329,247,748],"display_cycle":[247,329,666,329,247,748],"intervals":[{"from_index":88,"to_index":297,"sum":92427,"residue":247},{"from_index":297,"to_index":506,"sum":84967,"residue":329},{"from_index":506,"to_index":715,"sum":86980,"residue":666},{"from_index":715,"to_index":924,"sum":86643,"residue":329},{"from_index":924,"to_index":1133,"sum":90751,"residue":247},{"from_index":1133,"to_index":88,"sum":83710,"residue":748}],"minimal_cycle":[247,329,666,329,247,748],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[88,297],"circle_positions":838,"cycle_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":[89,298,507,716,925,1134],"clock_positions":[89,298,507,716,925,1134],"native_values":[301,173,720,173,301,592],"rotation_degrees":25.550239234449762,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,173,720,173,301,592],"beta":{"interval_sums":[92344,85257,86897,86514,91087,83581],"interval_residues":[164,619,583,200,583,619],"display_cycle":[164,619,583,200,583,619],"intervals":[{"from_index":89,"to_index":298,"sum":92344,"residue":164},{"from_index":298,"to_index":507,"sum":85257,"residue":619},{"from_index":507,"to_index":716,"sum":86897,"residue":583},{"from_index":716,"to_index":925,"sum":86514,"residue":200},{"from_index":925,"to_index":1134,"sum":91087,"residue":583},{"from_index":1134,"to_index":89,"sum":83581,"residue":619}],"minimal_cycle":[164,619,583,200,583,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[89,298],"circle_positions":838,"cycle_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":[90,299,508,717,926,1135],"clock_positions":[90,299,508,717,926,1135],"native_values":[764,391,345,810,345,391],"rotation_degrees":25.83732057416268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[764,391,345,810,345,391],"beta":{"interval_sums":[91753,85586,86725,86005,91334,83491],"interval_residues":[411,110,411,529,830,529],"display_cycle":[411,110,411,529,830,529],"intervals":[{"from_index":90,"to_index":299,"sum":91753,"residue":411},{"from_index":299,"to_index":508,"sum":85586,"residue":110},{"from_index":508,"to_index":717,"sum":86725,"residue":411},{"from_index":717,"to_index":926,"sum":86005,"residue":529},{"from_index":926,"to_index":1135,"sum":91334,"residue":830},{"from_index":1135,"to_index":90,"sum":83491,"residue":529}],"minimal_cycle":[411,110,411,529,830,529],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[90,299],"circle_positions":838,"cycle_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":[91,300,509,718,927,1136],"clock_positions":[91,300,509,718,927,1136],"native_values":[227,564,227,145,646,145],"rotation_degrees":26.124401913875598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,564,227,145,646,145],"beta":{"interval_sums":[91917,85367,87308,86205,91079,84110],"interval_residues":[575,729,156,729,575,310],"display_cycle":[575,729,156,729,575,310],"intervals":[{"from_index":91,"to_index":300,"sum":91917,"residue":575},{"from_index":300,"to_index":509,"sum":85367,"residue":729},{"from_index":509,"to_index":718,"sum":87308,"residue":156},{"from_index":718,"to_index":927,"sum":86205,"residue":729},{"from_index":927,"to_index":1136,"sum":91079,"residue":575},{"from_index":1136,"to_index":91,"sum":84110,"residue":310}],"minimal_cycle":[575,729,156,729,575,310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":575,"start_interval_clock_positions":[91,300],"circle_positions":838,"cycle_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":[92,301,510,719,928,1137],"clock_positions":[92,301,510,719,928,1137],"native_values":[153,117,572,117,153,536],"rotation_degrees":26.411483253588518,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,117,572,117,153,536],"beta":{"interval_sums":[92328,85477,86881,86734,91071,83801],"interval_residues":[148,1,567,420,567,1],"display_cycle":[148,1,567,420,567,1],"intervals":[{"from_index":92,"to_index":301,"sum":92328,"residue":148},{"from_index":301,"to_index":510,"sum":85477,"residue":1},{"from_index":510,"to_index":719,"sum":86881,"residue":567},{"from_index":719,"to_index":928,"sum":86734,"residue":420},{"from_index":928,"to_index":1137,"sum":91071,"residue":567},{"from_index":1137,"to_index":92,"sum":83801,"residue":1}],"minimal_cycle":[148,1,567,420,567,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[92,301],"circle_positions":838,"cycle_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":[93,302,511,720,929,1138],"clock_positions":[93,302,511,720,929,1138],"native_values":[380,681,799,262,799,681],"rotation_degrees":26.698564593301434,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,681,799,262,799,681],"beta":{"interval_sums":[92065,85368,86199,86625,90808,83273],"interval_residues":[723,730,723,311,304,311],"display_cycle":[723,730,723,311,304,311],"intervals":[{"from_index":93,"to_index":302,"sum":92065,"residue":723},{"from_index":302,"to_index":511,"sum":85368,"residue":730},{"from_index":511,"to_index":720,"sum":86199,"residue":723},{"from_index":720,"to_index":929,"sum":86625,"residue":311},{"from_index":929,"to_index":1138,"sum":90808,"residue":304},{"from_index":1138,"to_index":93,"sum":83273,"residue":311}],"minimal_cycle":[723,730,723,311,304,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":723,"start_interval_clock_positions":[93,302],"circle_positions":838,"cycle_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":[94,303,512,721,930,1139],"clock_positions":[94,303,512,721,930,1139],"native_values":[533,798,533,379,114,379],"rotation_degrees":26.985645933014354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,798,533,379,114,379],"beta":{"interval_sums":[92213,85369,85928,87045,91375,83274],"interval_residues":[33,731,452,731,33,312],"display_cycle":[33,731,452,731,33,312],"intervals":[{"from_index":94,"to_index":303,"sum":92213,"residue":33},{"from_index":303,"to_index":512,"sum":85369,"residue":731},{"from_index":512,"to_index":721,"sum":85928,"residue":452},{"from_index":721,"to_index":930,"sum":87045,"residue":731},{"from_index":930,"to_index":1139,"sum":91375,"residue":33},{"from_index":1139,"to_index":94,"sum":83274,"residue":312}],"minimal_cycle":[33,731,452,731,33,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[94,303],"circle_positions":838,"cycle_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":[95,304,513,722,931,1140],"clock_positions":[95,304,513,722,931,1140],"native_values":[75,641,494,641,75,222],"rotation_degrees":27.272727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,641,494,641,75,222],"beta":{"interval_sums":[92936,85261,85813,86518,91679,83585],"interval_residues":[756,623,337,204,337,623],"display_cycle":[756,623,337,204,337,623],"intervals":[{"from_index":95,"to_index":304,"sum":92936,"residue":756},{"from_index":304,"to_index":513,"sum":85261,"residue":623},{"from_index":513,"to_index":722,"sum":85813,"residue":337},{"from_index":722,"to_index":931,"sum":86518,"residue":204},{"from_index":931,"to_index":1140,"sum":91679,"residue":337},{"from_index":1140,"to_index":95,"sum":83585,"residue":623}],"minimal_cycle":[756,623,337,204,337,623],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":756,"start_interval_clock_positions":[95,304],"circle_positions":838,"cycle_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":[96,305,514,723,932,1141],"clock_positions":[96,305,514,723,932,1141],"native_values":[608,601,189,182,189,601],"rotation_degrees":27.559808612440193,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[608,601,189,182,189,601],"beta":{"interval_sums":[92969,85154,86265,86411,91712,83059],"interval_residues":[789,516,789,97,370,97],"display_cycle":[789,516,789,97,370,97],"intervals":[{"from_index":96,"to_index":305,"sum":92969,"residue":789},{"from_index":305,"to_index":514,"sum":85154,"residue":516},{"from_index":514,"to_index":723,"sum":86265,"residue":789},{"from_index":723,"to_index":932,"sum":86411,"residue":97},{"from_index":932,"to_index":1141,"sum":91712,"residue":370},{"from_index":1141,"to_index":96,"sum":83059,"residue":97}],"minimal_cycle":[789,516,789,97,370,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":789,"start_interval_clock_positions":[96,305],"circle_positions":838,"cycle_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":[97,306,515,724,933,1142],"clock_positions":[97,306,515,724,933,1142],"native_values":[683,404,683,823,264,823],"rotation_degrees":27.84688995215311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,404,683,823,264,823],"beta":{"interval_sums":[92887,84939,85764,85777,92049,82844],"interval_residues":[707,301,288,301,707,720],"display_cycle":[707,301,288,301,707,720],"intervals":[{"from_index":97,"to_index":306,"sum":92887,"residue":707},{"from_index":306,"to_index":515,"sum":84939,"residue":301},{"from_index":515,"to_index":724,"sum":85764,"residue":288},{"from_index":724,"to_index":933,"sum":85777,"residue":301},{"from_index":933,"to_index":1142,"sum":92049,"residue":707},{"from_index":1142,"to_index":97,"sum":82844,"residue":720}],"minimal_cycle":[707,301,288,301,707,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[97,306],"circle_positions":838,"cycle_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":[98,307,516,725,934,1143],"clock_positions":[98,307,516,725,934,1143],"native_values":[453,167,34,167,453,586],"rotation_degrees":28.13397129186603,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,167,34,167,453,586],"beta":{"interval_sums":[92838,85455,86553,85874,92419,82941],"interval_residues":[658,817,239,398,239,817],"display_cycle":[658,817,239,398,239,817],"intervals":[{"from_index":98,"to_index":307,"sum":92838,"residue":658},{"from_index":307,"to_index":516,"sum":85455,"residue":817},{"from_index":516,"to_index":725,"sum":86553,"residue":239},{"from_index":725,"to_index":934,"sum":85874,"residue":398},{"from_index":934,"to_index":1143,"sum":92419,"residue":239},{"from_index":1143,"to_index":98,"sum":82941,"residue":817}],"minimal_cycle":[658,817,239,398,239,817],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[98,307],"circle_positions":838,"cycle_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":[99,308,517,726,935,1144],"clock_positions":[99,308,517,726,935,1144],"native_values":[298,571,717,152,717,571],"rotation_degrees":28.42105263157895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[298,571,717,152,717,571],"beta":{"interval_sums":[92707,84918,86003,86175,92288,82823],"interval_residues":[527,280,527,699,108,699],"display_cycle":[527,280,527,699,108,699],"intervals":[{"from_index":99,"to_index":308,"sum":92707,"residue":527},{"from_index":308,"to_index":517,"sum":84918,"residue":280},{"from_index":517,"to_index":726,"sum":86003,"residue":527},{"from_index":726,"to_index":935,"sum":86175,"residue":699},{"from_index":935,"to_index":1144,"sum":92288,"residue":108},{"from_index":1144,"to_index":99,"sum":82823,"residue":699}],"minimal_cycle":[527,280,527,699,108,699],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":527,"start_interval_clock_positions":[99,308],"circle_positions":838,"cycle_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":[100,309,518,727,936,1145],"clock_positions":[100,309,518,727,936,1145],"native_values":[751,738,751,319,332,319],"rotation_degrees":28.708133971291865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,738,751,319,332,319],"beta":{"interval_sums":[92527,84897,85404,86573,92527,82802],"interval_residues":[347,259,766,259,347,678],"display_cycle":[347,259,766,259,347,678],"intervals":[{"from_index":100,"to_index":309,"sum":92527,"residue":347},{"from_index":309,"to_index":518,"sum":84897,"residue":259},{"from_index":518,"to_index":727,"sum":85404,"residue":766},{"from_index":727,"to_index":936,"sum":86573,"residue":259},{"from_index":936,"to_index":1145,"sum":92527,"residue":347},{"from_index":1145,"to_index":100,"sum":82802,"residue":678}],"minimal_cycle":[347,259,766,259,347,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[100,309],"circle_positions":838,"cycle_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":[101,310,519,728,937,1146],"clock_positions":[101,310,519,728,937,1146],"native_values":[211,471,630,471,211,52],"rotation_degrees":28.995215311004785,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,471,630,471,211,52],"beta":{"interval_sums":[93054,85177,85093,86434,92635,83501],"interval_residues":[36,539,455,120,455,539],"display_cycle":[36,539,455,120,455,539],"intervals":[{"from_index":101,"to_index":310,"sum":93054,"residue":36},{"from_index":310,"to_index":519,"sum":85177,"residue":539},{"from_index":519,"to_index":728,"sum":85093,"residue":455},{"from_index":728,"to_index":937,"sum":86434,"residue":120},{"from_index":937,"to_index":1146,"sum":92635,"residue":455},{"from_index":1146,"to_index":101,"sum":83501,"residue":539}],"minimal_cycle":[36,539,455,120,455,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[101,310],"circle_positions":838,"cycle_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":[102,311,520,729,938,1147],"clock_positions":[102,311,520,729,938,1147],"native_values":[124,371,543,790,543,371],"rotation_degrees":29.282296650717704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,371,543,790,543,371],"beta":{"interval_sums":[93401,85436,85021,85855,92144,83341],"interval_residues":[383,798,383,379,802,379],"display_cycle":[383,798,383,379,802,379],"intervals":[{"from_index":102,"to_index":311,"sum":93401,"residue":383},{"from_index":311,"to_index":520,"sum":85436,"residue":798},{"from_index":520,"to_index":729,"sum":85021,"residue":383},{"from_index":729,"to_index":938,"sum":85855,"residue":379},{"from_index":938,"to_index":1147,"sum":92144,"residue":802},{"from_index":1147,"to_index":102,"sum":83341,"residue":379}],"minimal_cycle":[383,798,383,379,802,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[102,311],"circle_positions":838,"cycle_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":[103,312,521,730,939,1148],"clock_positions":[103,312,521,730,939,1148],"native_values":[335,4,335,423,754,423],"rotation_degrees":29.56937799043062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,4,335,423,754,423],"beta":{"interval_sums":[93437,85975,85476,85975,91761,83042],"interval_residues":[419,499,0,499,419,80],"display_cycle":[419,499,838,499,419,80],"intervals":[{"from_index":103,"to_index":312,"sum":93437,"residue":419},{"from_index":312,"to_index":521,"sum":85975,"residue":499},{"from_index":521,"to_index":730,"sum":85476,"residue":0},{"from_index":730,"to_index":939,"sum":85975,"residue":499},{"from_index":939,"to_index":1148,"sum":91761,"residue":419},{"from_index":1148,"to_index":103,"sum":83042,"residue":80}],"minimal_cycle":[419,499,0,499,419,80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":419,"start_interval_clock_positions":[103,312],"circle_positions":838,"cycle_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":[104,313,522,731,940,1149],"clock_positions":[104,313,522,731,940,1149],"native_values":[459,375,40,375,459,794],"rotation_degrees":29.85645933014354,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[459,375,40,375,459,794],"beta":{"interval_sums":[92982,85935,85859,86354,91725,82583],"interval_residues":[802,459,383,40,383,459],"display_cycle":[802,459,383,40,383,459],"intervals":[{"from_index":104,"to_index":313,"sum":92982,"residue":802},{"from_index":313,"to_index":522,"sum":85935,"residue":459},{"from_index":522,"to_index":731,"sum":85859,"residue":383},{"from_index":731,"to_index":940,"sum":86354,"residue":40},{"from_index":940,"to_index":1149,"sum":91725,"residue":383},{"from_index":1149,"to_index":104,"sum":82583,"residue":459}],"minimal_cycle":[802,459,383,40,383,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":802,"start_interval_clock_positions":[104,313],"circle_positions":838,"cycle_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":[105,314,523,732,941,1150],"clock_positions":[105,314,523,732,941,1150],"native_values":[794,379,375,798,375,379],"rotation_degrees":30.14354066985646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[794,379,375,798,375,379],"beta":{"interval_sums":[92563,85596,85859,86015,92144,82663],"interval_residues":[383,120,383,539,802,539],"display_cycle":[383,120,383,539,802,539],"intervals":[{"from_index":105,"to_index":314,"sum":92563,"residue":383},{"from_index":314,"to_index":523,"sum":85596,"residue":120},{"from_index":523,"to_index":732,"sum":85859,"residue":383},{"from_index":732,"to_index":941,"sum":86015,"residue":539},{"from_index":941,"to_index":1150,"sum":92144,"residue":802},{"from_index":1150,"to_index":105,"sum":82663,"residue":539}],"minimal_cycle":[383,120,383,539,802,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":383,"start_interval_clock_positions":[105,314],"circle_positions":838,"cycle_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":[106,315,524,733,942,1151],"clock_positions":[106,315,524,733,942,1151],"native_values":[415,754,415,335,834,335],"rotation_degrees":30.43062200956938,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,754,415,335,834,335],"beta":{"interval_sums":[92527,85217,86242,86055,91689,83122],"interval_residues":[347,579,766,579,347,160],"display_cycle":[347,579,766,579,347,160],"intervals":[{"from_index":106,"to_index":315,"sum":92527,"residue":347},{"from_index":315,"to_index":524,"sum":85217,"residue":579},{"from_index":524,"to_index":733,"sum":86242,"residue":766},{"from_index":733,"to_index":942,"sum":86055,"residue":579},{"from_index":942,"to_index":1151,"sum":91689,"residue":347},{"from_index":1151,"to_index":106,"sum":83122,"residue":160}],"minimal_cycle":[347,579,766,579,347,160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":347,"start_interval_clock_positions":[106,315],"circle_positions":838,"cycle_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":[107,316,525,734,943,1152],"clock_positions":[107,316,525,734,943,1152],"native_values":[371,295,790,295,371,714],"rotation_degrees":30.717703349282296,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,295,790,295,371,714],"beta":{"interval_sums":[92910,85337,85787,86594,91653,82823],"interval_residues":[730,699,311,280,311,699],"display_cycle":[730,699,311,280,311,699],"intervals":[{"from_index":107,"to_index":316,"sum":92910,"residue":730},{"from_index":316,"to_index":525,"sum":85337,"residue":699},{"from_index":525,"to_index":734,"sum":85787,"residue":311},{"from_index":734,"to_index":943,"sum":86594,"residue":280},{"from_index":943,"to_index":1152,"sum":91653,"residue":311},{"from_index":1152,"to_index":107,"sum":82823,"residue":699}],"minimal_cycle":[730,699,311,280,311,699],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[107,316],"circle_positions":838,"cycle_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":[108,317,526,735,944,1153],"clock_positions":[108,317,526,735,944,1153],"native_values":[786,211,367,630,367,211],"rotation_degrees":31.004784688995215,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[786,211,367,630,367,211],"beta":{"interval_sums":[92419,85916,85715,86335,92000,82983],"interval_residues":[239,440,239,21,658,21],"display_cycle":[239,440,239,21,658,21],"intervals":[{"from_index":108,"to_index":317,"sum":92419,"residue":239},{"from_index":317,"to_index":526,"sum":85916,"residue":440},{"from_index":526,"to_index":735,"sum":85715,"residue":239},{"from_index":735,"to_index":944,"sum":86335,"residue":21},{"from_index":944,"to_index":1153,"sum":92000,"residue":658},{"from_index":1153,"to_index":108,"sum":82983,"residue":21}],"minimal_cycle":[239,440,239,21,658,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[108,317],"circle_positions":838,"cycle_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":[109,318,527,736,945,1154],"clock_positions":[109,318,527,736,945,1154],"native_values":[319,506,319,87,738,87],"rotation_degrees":31.291866028708135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,506,319,87,738,87],"beta":{"interval_sums":[92311,85777,86026,86615,91473,83682],"interval_residues":[131,301,550,301,131,720],"display_cycle":[131,301,550,301,131,720],"intervals":[{"from_index":109,"to_index":318,"sum":92311,"residue":131},{"from_index":318,"to_index":527,"sum":85777,"residue":301},{"from_index":527,"to_index":736,"sum":86026,"residue":550},{"from_index":736,"to_index":945,"sum":86615,"residue":301},{"from_index":945,"to_index":1154,"sum":91473,"residue":131},{"from_index":1154,"to_index":109,"sum":83682,"residue":720}],"minimal_cycle":[131,301,550,301,131,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[109,318],"circle_positions":838,"cycle_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":[110,319,528,737,946,1155],"clock_positions":[110,319,528,737,946,1155],"native_values":[267,717,686,717,267,298],"rotation_degrees":31.57894736842105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[267,717,686,717,267,298],"beta":{"interval_sums":[92550,85379,85427,86636,91293,83703],"interval_residues":[370,741,789,322,789,741],"display_cycle":[370,741,789,322,789,741],"intervals":[{"from_index":110,"to_index":319,"sum":92550,"residue":370},{"from_index":319,"to_index":528,"sum":85379,"residue":741},{"from_index":528,"to_index":737,"sum":85427,"residue":789},{"from_index":737,"to_index":946,"sum":86636,"residue":322},{"from_index":946,"to_index":1155,"sum":91293,"residue":789},{"from_index":1155,"to_index":110,"sum":83703,"residue":741}],"minimal_cycle":[370,741,789,322,789,741],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[110,319],"circle_positions":838,"cycle_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":[111,320,529,738,947,1156],"clock_positions":[111,320,529,738,947,1156],"native_values":[586,385,167,804,167,385],"rotation_degrees":31.86602870813397,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,385,167,804,167,385],"beta":{"interval_sums":[92681,85680,85977,86099,91424,83585],"interval_residues":[501,204,501,623,82,623],"display_cycle":[501,204,501,623,82,623],"intervals":[{"from_index":111,"to_index":320,"sum":92681,"residue":501},{"from_index":320,"to_index":529,"sum":85680,"residue":204},{"from_index":529,"to_index":738,"sum":85977,"residue":501},{"from_index":738,"to_index":947,"sum":86099,"residue":623},{"from_index":947,"to_index":1156,"sum":91424,"residue":82},{"from_index":1156,"to_index":111,"sum":83585,"residue":623}],"minimal_cycle":[501,204,501,623,82,623],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[111,320],"circle_positions":838,"cycle_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":[112,321,530,739,948,1157],"clock_positions":[112,321,530,739,948,1157],"native_values":[15,264,15,683,434,683],"rotation_degrees":32.15311004784689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,264,15,683,434,683],"beta":{"interval_sums":[93051,85583,86766,85583,91375,83488],"interval_residues":[33,107,452,107,33,526],"display_cycle":[33,107,452,107,33,526],"intervals":[{"from_index":112,"to_index":321,"sum":93051,"residue":33},{"from_index":321,"to_index":530,"sum":85583,"residue":107},{"from_index":530,"to_index":739,"sum":86766,"residue":452},{"from_index":739,"to_index":948,"sum":85583,"residue":107},{"from_index":948,"to_index":1157,"sum":91375,"residue":33},{"from_index":1157,"to_index":112,"sum":83488,"residue":526}],"minimal_cycle":[33,107,452,107,33,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[112,321],"circle_positions":838,"cycle_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":[113,322,531,740,949,1158],"clock_positions":[113,322,531,740,949,1158],"native_values":[601,649,182,649,601,230],"rotation_degrees":32.44019138755981,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,649,182,649,601,230],"beta":{"interval_sums":[92714,84949,87267,85368,91457,83273],"interval_residues":[534,311,115,730,115,311],"display_cycle":[534,311,115,730,115,311],"intervals":[{"from_index":113,"to_index":322,"sum":92714,"residue":534},{"from_index":322,"to_index":531,"sum":84949,"residue":311},{"from_index":531,"to_index":740,"sum":87267,"residue":115},{"from_index":740,"to_index":949,"sum":85368,"residue":730},{"from_index":949,"to_index":1158,"sum":91457,"residue":115},{"from_index":1158,"to_index":113,"sum":83273,"residue":311}],"minimal_cycle":[534,311,115,730,115,311],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[113,322],"circle_positions":838,"cycle_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":[114,323,532,741,950,1159],"clock_positions":[114,323,532,741,950,1159],"native_values":[616,75,197,494,197,75],"rotation_degrees":32.72727272727273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[616,75,197,494,197,75],"beta":{"interval_sums":[92747,85056,87719,85475,91490,83799],"interval_residues":[567,418,567,837,148,837],"display_cycle":[567,418,567,837,148,837],"intervals":[{"from_index":114,"to_index":323,"sum":92747,"residue":567},{"from_index":323,"to_index":532,"sum":85056,"residue":418},{"from_index":532,"to_index":741,"sum":87719,"residue":567},{"from_index":741,"to_index":950,"sum":85475,"residue":837},{"from_index":950,"to_index":1159,"sum":91490,"residue":148},{"from_index":1159,"to_index":114,"sum":83799,"residue":837}],"minimal_cycle":[567,418,567,837,148,837],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[114,323],"circle_positions":838,"cycle_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":[115,324,533,742,951,1160],"clock_positions":[115,324,533,742,951,1160],"native_values":[379,724,379,305,798,305],"rotation_degrees":33.014354066985646,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,724,379,305,798,305],"beta":{"interval_sums":[92443,84529,87834,85367,90767,84110],"interval_residues":[263,729,682,729,263,310],"display_cycle":[263,729,682,729,263,310],"intervals":[{"from_index":115,"to_index":324,"sum":92443,"residue":263},{"from_index":324,"to_index":533,"sum":84529,"residue":729},{"from_index":533,"to_index":742,"sum":87834,"residue":682},{"from_index":742,"to_index":951,"sum":85367,"residue":729},{"from_index":951,"to_index":1160,"sum":90767,"residue":263},{"from_index":1160,"to_index":115,"sum":84110,"residue":310}],"minimal_cycle":[263,729,682,729,263,310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[115,324],"circle_positions":838,"cycle_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":[116,325,534,743,952,1161],"clock_positions":[116,325,534,743,952,1161],"native_values":[157,799,576,799,157,380],"rotation_degrees":33.301435406698566,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,799,576,799,157,380],"beta":{"interval_sums":[93010,84109,87563,85366,90915,84109],"interval_residues":[830,309,411,728,411,309],"display_cycle":[830,309,411,728,411,309],"intervals":[{"from_index":116,"to_index":325,"sum":93010,"residue":830},{"from_index":325,"to_index":534,"sum":84109,"residue":309},{"from_index":534,"to_index":743,"sum":87563,"residue":411},{"from_index":743,"to_index":952,"sum":85366,"residue":728},{"from_index":952,"to_index":1161,"sum":90915,"residue":411},{"from_index":1161,"to_index":116,"sum":84109,"residue":309}],"minimal_cycle":[830,309,411,728,411,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":830,"start_interval_clock_positions":[116,325],"circle_positions":838,"cycle_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":[117,326,535,744,953,1162],"clock_positions":[117,326,535,744,953,1162],"native_values":[536,685,117,266,117,685],"rotation_degrees":33.588516746411486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,685,117,266,117,685],"beta":{"interval_sums":[93273,84000,88245,85257,91178,83581],"interval_residues":[255,200,255,619,674,619],"display_cycle":[255,200,255,619,674,619],"intervals":[{"from_index":117,"to_index":326,"sum":93273,"residue":255},{"from_index":326,"to_index":535,"sum":84000,"residue":200},{"from_index":535,"to_index":744,"sum":88245,"residue":255},{"from_index":744,"to_index":953,"sum":85257,"residue":619},{"from_index":953,"to_index":1162,"sum":91178,"residue":674},{"from_index":1162,"to_index":117,"sum":83581,"residue":619}],"minimal_cycle":[255,200,255,619,674,619],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[117,326],"circle_positions":838,"cycle_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":[118,327,536,745,954,1163],"clock_positions":[118,327,536,745,954,1163],"native_values":[693,646,693,227,274,227],"rotation_degrees":33.8755980861244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,646,693,227,274,227],"beta":{"interval_sums":[93265,83471,87818,85147,91589,83890],"interval_residues":[247,509,666,509,247,90],"display_cycle":[247,509,666,509,247,90],"intervals":[{"from_index":118,"to_index":327,"sum":93265,"residue":247},{"from_index":327,"to_index":536,"sum":83471,"residue":509},{"from_index":536,"to_index":745,"sum":87818,"residue":666},{"from_index":745,"to_index":954,"sum":85147,"residue":509},{"from_index":954,"to_index":1163,"sum":91589,"residue":247},{"from_index":1163,"to_index":118,"sum":83890,"residue":90}],"minimal_cycle":[247,509,666,509,247,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[118,327],"circle_positions":838,"cycle_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":[119,328,537,746,955,1164],"clock_positions":[119,328,537,746,955,1164],"native_values":[391,493,810,493,391,74],"rotation_degrees":34.16267942583732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,493,810,493,391,74],"beta":{"interval_sums":[93520,83671,87235,84928,91425,84509],"interval_residues":[502,709,83,290,83,709],"display_cycle":[502,709,83,290,83,709],"intervals":[{"from_index":119,"to_index":328,"sum":93520,"residue":502},{"from_index":328,"to_index":537,"sum":83671,"residue":709},{"from_index":537,"to_index":746,"sum":87235,"residue":83},{"from_index":746,"to_index":955,"sum":84928,"residue":290},{"from_index":955,"to_index":1164,"sum":91425,"residue":83},{"from_index":1164,"to_index":119,"sum":84509,"residue":709}],"minimal_cycle":[502,709,83,290,83,709],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[119,328],"circle_positions":838,"cycle_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":[120,329,538,747,956,1165],"clock_positions":[120,329,538,747,956,1165],"native_values":[246,301,665,720,665,301],"rotation_degrees":34.44976076555024,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[246,301,665,720,665,301],"beta":{"interval_sums":[93767,84180,87063,84599,90834,84599],"interval_residues":[749,380,749,799,330,799],"display_cycle":[749,380,749,799,330,799],"intervals":[{"from_index":120,"to_index":329,"sum":93767,"residue":749},{"from_index":329,"to_index":538,"sum":84180,"residue":380},{"from_index":538,"to_index":747,"sum":87063,"residue":749},{"from_index":747,"to_index":956,"sum":84599,"residue":799},{"from_index":956,"to_index":1165,"sum":90834,"residue":330},{"from_index":1165,"to_index":120,"sum":84599,"residue":799}],"minimal_cycle":[749,380,749,799,330,799],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":749,"start_interval_clock_positions":[120,329],"circle_positions":838,"cycle_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":[121,330,539,748,957,1166],"clock_positions":[121,330,539,748,957,1166],"native_values":[637,794,637,375,218,375],"rotation_degrees":34.73684210526316,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,794,637,375,218,375],"beta":{"interval_sums":[93431,84051,87146,84889,90917,84470],"interval_residues":[413,251,832,251,413,670],"display_cycle":[413,251,832,251,413,670],"intervals":[{"from_index":121,"to_index":330,"sum":93431,"residue":413},{"from_index":330,"to_index":539,"sum":84051,"residue":251},{"from_index":539,"to_index":748,"sum":87146,"residue":832},{"from_index":748,"to_index":957,"sum":84889,"residue":251},{"from_index":957,"to_index":1166,"sum":90917,"residue":413},{"from_index":1166,"to_index":121,"sum":84470,"residue":670}],"minimal_cycle":[413,251,832,251,413,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":413,"start_interval_clock_positions":[121,330],"circle_positions":838,"cycle_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":[122,331,540,749,958,1167],"clock_positions":[122,331,540,749,958,1167],"native_values":[45,257,464,257,45,676],"rotation_degrees":35.02392344497608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,257,464,257,45,676],"beta":{"interval_sums":[94180,84431,87057,84850,91247,84431],"interval_residues":[324,631,743,212,743,631],"display_cycle":[324,631,743,212,743,631],"intervals":[{"from_index":122,"to_index":331,"sum":94180,"residue":324},{"from_index":331,"to_index":540,"sum":84431,"residue":631},{"from_index":540,"to_index":749,"sum":87057,"residue":743},{"from_index":749,"to_index":958,"sum":84850,"residue":212},{"from_index":958,"to_index":1167,"sum":91247,"residue":743},{"from_index":1167,"to_index":122,"sum":84431,"residue":631}],"minimal_cycle":[324,631,743,212,743,631],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[122,331],"circle_positions":838,"cycle_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":[123,332,541,750,959,1168],"clock_positions":[123,332,541,750,959,1168],"native_values":[682,213,263,632,263,213],"rotation_degrees":35.311004784689,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[682,213,263,632,263,213],"beta":{"interval_sums":[93755,84682,87051,84263,91660,84263],"interval_residues":[737,44,737,463,318,463],"display_cycle":[737,44,737,463,318,463],"intervals":[{"from_index":123,"to_index":332,"sum":93755,"residue":737},{"from_index":332,"to_index":541,"sum":84682,"residue":44},{"from_index":541,"to_index":750,"sum":87051,"residue":737},{"from_index":750,"to_index":959,"sum":84263,"residue":463},{"from_index":959,"to_index":1168,"sum":91660,"residue":318},{"from_index":1168,"to_index":123,"sum":84263,"residue":463}],"minimal_cycle":[737,44,737,463,318,463],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":737,"start_interval_clock_positions":[123,332],"circle_positions":838,"cycle_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":[124,333,542,751,960,1169],"clock_positions":[124,333,542,751,960,1169],"native_values":[727,470,727,51,308,51],"rotation_degrees":35.59808612440192,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,470,727,51,308,51],"beta":{"interval_sums":[93241,84475,86956,84475,91565,84894],"interval_residues":[223,675,642,675,223,256],"display_cycle":[223,675,642,675,223,256],"intervals":[{"from_index":124,"to_index":333,"sum":93241,"residue":223},{"from_index":333,"to_index":542,"sum":84475,"residue":675},{"from_index":542,"to_index":751,"sum":86956,"residue":642},{"from_index":751,"to_index":960,"sum":84475,"residue":675},{"from_index":960,"to_index":1169,"sum":91565,"residue":223},{"from_index":1169,"to_index":124,"sum":84894,"residue":256}],"minimal_cycle":[223,675,642,675,223,256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[124,333],"circle_positions":838,"cycle_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":[125,334,543,752,961,1170],"clock_positions":[125,334,543,752,961,1170],"native_values":[571,683,152,683,571,264],"rotation_degrees":35.88516746411483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,683,152,683,571,264],"beta":{"interval_sums":[93140,84519,86855,84100,91045,85357],"interval_residues":[122,719,541,300,541,719],"display_cycle":[122,719,541,300,541,719],"intervals":[{"from_index":125,"to_index":334,"sum":93140,"residue":122},{"from_index":334,"to_index":543,"sum":84519,"residue":719},{"from_index":543,"to_index":752,"sum":86855,"residue":541},{"from_index":752,"to_index":961,"sum":84100,"residue":300},{"from_index":961,"to_index":1170,"sum":91045,"residue":541},{"from_index":1170,"to_index":125,"sum":85357,"residue":719}],"minimal_cycle":[122,719,541,300,541,719],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[125,334],"circle_positions":838,"cycle_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":[126,335,544,753,962,1171],"clock_positions":[126,335,544,753,962,1171],"native_values":[460,315,41,734,41,315],"rotation_degrees":36.17224880382775,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,315,41,734,41,315],"beta":{"interval_sums":[93363,84356,87497,83937,91268,85613],"interval_residues":[345,556,345,137,764,137],"display_cycle":[345,556,345,137,764,137],"intervals":[{"from_index":126,"to_index":335,"sum":93363,"residue":345},{"from_index":335,"to_index":544,"sum":84356,"residue":556},{"from_index":544,"to_index":753,"sum":87497,"residue":345},{"from_index":753,"to_index":962,"sum":83937,"residue":137},{"from_index":962,"to_index":1171,"sum":91268,"residue":764},{"from_index":1171,"to_index":126,"sum":85613,"residue":137}],"minimal_cycle":[345,556,345,137,764,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":345,"start_interval_clock_positions":[126,335],"circle_positions":838,"cycle_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":[127,336,545,754,963,1172],"clock_positions":[127,336,545,754,963,1172],"native_values":[193,160,193,579,612,579],"rotation_degrees":36.45933014354067,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,160,193,579,612,579],"beta":{"interval_sums":[93485,84237,88038,83399,90971,85494],"interval_residues":[467,437,48,437,467,18],"display_cycle":[467,437,48,437,467,18],"intervals":[{"from_index":127,"to_index":336,"sum":93485,"residue":467},{"from_index":336,"to_index":545,"sum":84237,"residue":437},{"from_index":545,"to_index":754,"sum":88038,"residue":48},{"from_index":754,"to_index":963,"sum":83399,"residue":437},{"from_index":963,"to_index":1172,"sum":90971,"residue":467},{"from_index":1172,"to_index":127,"sum":85494,"residue":18}],"minimal_cycle":[467,437,48,437,467,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[127,336],"circle_positions":838,"cycle_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":[128,337,546,755,964,1173],"clock_positions":[128,337,546,755,964,1173],"native_values":[653,475,234,475,653,56],"rotation_degrees":36.74641148325359,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,475,234,475,653,56],"beta":{"interval_sums":[92992,83955,88383,83536,90897,85631],"interval_residues":[812,155,393,574,393,155],"display_cycle":[812,155,393,574,393,155],"intervals":[{"from_index":128,"to_index":337,"sum":92992,"residue":812},{"from_index":337,"to_index":546,"sum":83955,"residue":155},{"from_index":546,"to_index":755,"sum":88383,"residue":393},{"from_index":755,"to_index":964,"sum":83536,"residue":574},{"from_index":964,"to_index":1173,"sum":90897,"residue":393},{"from_index":1173,"to_index":128,"sum":85631,"residue":155}],"minimal_cycle":[812,155,393,574,393,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":812,"start_interval_clock_positions":[128,337],"circle_positions":838,"cycle_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":[129,338,547,756,965,1174],"clock_positions":[129,338,547,756,965,1174],"native_values":[8,635,427,216,427,635],"rotation_degrees":37.03349282296651,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,635,427,216,427,635],"beta":{"interval_sums":[93459,83554,88431,83973,90526,85649],"interval_residues":[441,592,441,173,22,173],"display_cycle":[441,592,441,173,22,173],"intervals":[{"from_index":129,"to_index":338,"sum":93459,"residue":441},{"from_index":338,"to_index":547,"sum":83554,"residue":592},{"from_index":547,"to_index":756,"sum":88431,"residue":441},{"from_index":756,"to_index":965,"sum":83973,"residue":173},{"from_index":965,"to_index":1174,"sum":90526,"residue":22},{"from_index":1174,"to_index":129,"sum":85649,"residue":173}],"minimal_cycle":[441,592,441,173,22,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[129,338],"circle_positions":838,"cycle_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":[130,339,548,757,966,1175],"clock_positions":[130,339,548,757,966,1175],"native_values":[661,272,661,691,242,691],"rotation_degrees":37.32057416267943,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,272,661,691,242,691],"beta":{"interval_sums":[93433,83709,87986,83709,90919,84966],"interval_residues":[415,747,834,747,415,328],"display_cycle":[415,747,834,747,415,328],"intervals":[{"from_index":130,"to_index":339,"sum":93433,"residue":415},{"from_index":339,"to_index":548,"sum":83709,"residue":747},{"from_index":548,"to_index":757,"sum":87986,"residue":834},{"from_index":757,"to_index":966,"sum":83709,"residue":747},{"from_index":966,"to_index":1175,"sum":90919,"residue":415},{"from_index":1175,"to_index":130,"sum":84966,"residue":328}],"minimal_cycle":[415,747,834,747,415,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":415,"start_interval_clock_positions":[130,339],"circle_positions":838,"cycle_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":[131,340,549,758,967,1176],"clock_positions":[131,340,549,758,967,1176],"native_values":[669,69,250,69,669,488],"rotation_degrees":37.60765550239235,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,69,250,69,669,488],"beta":{"interval_sums":[93036,84301,88427,83882,90941,85139],"interval_residues":[18,501,437,82,437,501],"display_cycle":[18,501,437,82,437,501],"intervals":[{"from_index":131,"to_index":340,"sum":93036,"residue":18},{"from_index":340,"to_index":549,"sum":84301,"residue":501},{"from_index":549,"to_index":758,"sum":88427,"residue":437},{"from_index":758,"to_index":967,"sum":83882,"residue":82},{"from_index":967,"to_index":1176,"sum":90941,"residue":437},{"from_index":1176,"to_index":131,"sum":85139,"residue":501}],"minimal_cycle":[18,501,437,82,437,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[131,340],"circle_positions":838,"cycle_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":[132,341,550,759,968,1177],"clock_positions":[132,341,550,759,968,1177],"native_values":[492,341,73,760,73,341],"rotation_degrees":37.89473684210526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,341,73,760,73,341],"beta":{"interval_sums":[92613,84210,88423,83791,91356,85467],"interval_residues":[433,410,433,829,14,829],"display_cycle":[433,410,433,829,14,829],"intervals":[{"from_index":132,"to_index":341,"sum":92613,"residue":433},{"from_index":341,"to_index":550,"sum":84210,"residue":410},{"from_index":550,"to_index":759,"sum":88423,"residue":433},{"from_index":759,"to_index":968,"sum":83791,"residue":829},{"from_index":968,"to_index":1177,"sum":91356,"residue":14},{"from_index":1177,"to_index":132,"sum":85467,"residue":829}],"minimal_cycle":[433,410,433,829,14,829],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":433,"start_interval_clock_positions":[132,341],"circle_positions":838,"cycle_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":[133,342,551,760,969,1178],"clock_positions":[133,342,551,760,969,1178],"native_values":[323,410,323,829,742,829],"rotation_degrees":38.18181818181818,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,410,323,829,742,829],"beta":{"interval_sums":[92631,83873,88860,83035,90955,85130],"interval_residues":[451,73,32,73,451,492],"display_cycle":[451,73,32,73,451,492],"intervals":[{"from_index":133,"to_index":342,"sum":92631,"residue":451},{"from_index":342,"to_index":551,"sum":83873,"residue":73},{"from_index":551,"to_index":760,"sum":88860,"residue":32},{"from_index":760,"to_index":969,"sum":83035,"residue":73},{"from_index":969,"to_index":1178,"sum":90955,"residue":451},{"from_index":1178,"to_index":133,"sum":85130,"residue":492}],"minimal_cycle":[451,73,32,73,451,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":451,"start_interval_clock_positions":[133,342],"circle_positions":838,"cycle_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":[134,343,552,761,970,1179],"clock_positions":[134,343,552,761,970,1179],"native_values":[815,751,396,751,815,332],"rotation_degrees":38.4688995215311,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[815,751,396,751,815,332],"beta":{"interval_sums":[92226,83445,89293,83026,90969,85121],"interval_residues":[46,483,465,64,465,483],"display_cycle":[46,483,465,64,465,483],"intervals":[{"from_index":134,"to_index":343,"sum":92226,"residue":46},{"from_index":343,"to_index":552,"sum":83445,"residue":483},{"from_index":552,"to_index":761,"sum":89293,"residue":465},{"from_index":761,"to_index":970,"sum":83026,"residue":64},{"from_index":970,"to_index":1179,"sum":90969,"residue":465},{"from_index":1179,"to_index":134,"sum":85121,"residue":483}],"minimal_cycle":[46,483,465,64,465,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[134,343],"circle_positions":838,"cycle_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":[135,344,553,762,971,1180],"clock_positions":[135,344,553,762,971,1180],"native_values":[300,323,719,742,719,323],"rotation_degrees":38.75598086124402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,323,719,742,719,323],"beta":{"interval_sums":[92677,83518,89325,83099,90582,85613],"interval_residues":[497,556,497,137,78,137],"display_cycle":[497,556,497,137,78,137],"intervals":[{"from_index":135,"to_index":344,"sum":92677,"residue":497},{"from_index":344,"to_index":553,"sum":83518,"residue":556},{"from_index":553,"to_index":762,"sum":89325,"residue":497},{"from_index":762,"to_index":971,"sum":83099,"residue":137},{"from_index":971,"to_index":1180,"sum":90582,"residue":78},{"from_index":1180,"to_index":135,"sum":85613,"residue":137}],"minimal_cycle":[497,556,497,137,78,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[135,344],"circle_positions":838,"cycle_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":[136,345,554,763,972,1181],"clock_positions":[136,345,554,763,972,1181],"native_values":[277,236,277,655,696,655],"rotation_degrees":39.04306220095694,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,236,277,655,696,655],"beta":{"interval_sums":[92723,84001,89790,83163,90209,85258],"interval_residues":[543,201,124,201,543,620],"display_cycle":[543,201,124,201,543,620],"intervals":[{"from_index":136,"to_index":345,"sum":92723,"residue":543},{"from_index":345,"to_index":554,"sum":84001,"residue":201},{"from_index":554,"to_index":763,"sum":89790,"residue":124},{"from_index":763,"to_index":972,"sum":83163,"residue":201},{"from_index":972,"to_index":1181,"sum":90209,"residue":543},{"from_index":1181,"to_index":136,"sum":85258,"residue":620}],"minimal_cycle":[543,201,124,201,543,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":543,"start_interval_clock_positions":[136,345],"circle_positions":838,"cycle_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":[137,346,555,764,973,1182],"clock_positions":[137,346,555,764,973,1182],"native_values":[577,559,158,559,577,140],"rotation_degrees":39.33014354066986,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,559,158,559,577,140],"beta":{"interval_sums":[92382,83719,90287,83300,90287,85395],"interval_residues":[202,757,621,338,621,757],"display_cycle":[202,757,621,338,621,757],"intervals":[{"from_index":137,"to_index":346,"sum":92382,"residue":202},{"from_index":346,"to_index":555,"sum":83719,"residue":757},{"from_index":555,"to_index":764,"sum":90287,"residue":621},{"from_index":764,"to_index":973,"sum":83300,"residue":338},{"from_index":973,"to_index":1182,"sum":90287,"residue":621},{"from_index":1182,"to_index":137,"sum":85395,"residue":757}],"minimal_cycle":[202,757,621,338,621,757],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[137,346],"circle_positions":838,"cycle_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":[138,347,556,765,974,1183],"clock_positions":[138,347,556,765,974,1183],"native_values":[16,795,435,376,435,795],"rotation_degrees":39.61722488038278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,795,435,376,435,795],"beta":{"interval_sums":[92925,83082,90411,83501,89992,85177],"interval_residues":[745,120,745,539,326,539],"display_cycle":[745,120,745,539,326,539],"intervals":[{"from_index":138,"to_index":347,"sum":92925,"residue":745},{"from_index":347,"to_index":556,"sum":83082,"residue":120},{"from_index":556,"to_index":765,"sum":90411,"residue":745},{"from_index":765,"to_index":974,"sum":83501,"residue":539},{"from_index":974,"to_index":1183,"sum":89992,"residue":326},{"from_index":1183,"to_index":138,"sum":85177,"residue":539}],"minimal_cycle":[745,120,745,539,326,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[138,347],"circle_positions":838,"cycle_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":[139,348,557,766,975,1184],"clock_positions":[139,348,557,766,975,1184],"native_values":[593,516,593,97,174,97],"rotation_degrees":39.90430622009569,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,516,593,97,174,97],"beta":{"interval_sums":[93127,83001,90194,83839,90613,85096],"interval_residues":[109,39,528,39,109,458],"display_cycle":[109,39,528,39,109,458],"intervals":[{"from_index":139,"to_index":348,"sum":93127,"residue":109},{"from_index":348,"to_index":557,"sum":83001,"residue":39},{"from_index":557,"to_index":766,"sum":90194,"residue":528},{"from_index":766,"to_index":975,"sum":83839,"residue":39},{"from_index":975,"to_index":1184,"sum":90613,"residue":109},{"from_index":1184,"to_index":139,"sum":85096,"residue":458}],"minimal_cycle":[109,39,528,39,109,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":109,"start_interval_clock_positions":[139,348],"circle_positions":838,"cycle_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":[140,349,558,767,976,1185],"clock_positions":[140,349,558,767,976,1185],"native_values":[609,473,190,473,609,54],"rotation_degrees":40.19138755980861,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,473,190,473,609,54],"beta":{"interval_sums":[93034,83121,90101,83540,90101,85635],"interval_residues":[16,159,435,578,435,159],"display_cycle":[16,159,435,578,435,159],"intervals":[{"from_index":140,"to_index":349,"sum":93034,"residue":16},{"from_index":349,"to_index":558,"sum":83121,"residue":159},{"from_index":558,"to_index":767,"sum":90101,"residue":435},{"from_index":767,"to_index":976,"sum":83540,"residue":578},{"from_index":976,"to_index":1185,"sum":90101,"residue":435},{"from_index":1185,"to_index":140,"sum":85635,"residue":159}],"minimal_cycle":[16,159,435,578,435,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[140,349],"circle_positions":838,"cycle_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":[141,350,559,768,977,1186],"clock_positions":[141,350,559,768,977,1186],"native_values":[364,151,783,570,783,151],"rotation_degrees":40.47846889952153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,151,783,570,783,151],"beta":{"interval_sums":[93143,83160,89791,83579,89372,86093],"interval_residues":[125,198,125,617,544,617],"display_cycle":[125,198,125,617,544,617],"intervals":[{"from_index":141,"to_index":350,"sum":93143,"residue":125},{"from_index":350,"to_index":559,"sum":83160,"residue":198},{"from_index":559,"to_index":768,"sum":89791,"residue":125},{"from_index":768,"to_index":977,"sum":83579,"residue":617},{"from_index":977,"to_index":1186,"sum":89372,"residue":544},{"from_index":1186,"to_index":141,"sum":86093,"residue":617}],"minimal_cycle":[125,198,125,617,544,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[141,350],"circle_positions":838,"cycle_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":[142,351,560,769,978,1187],"clock_positions":[142,351,560,769,978,1187],"native_values":[135,624,135,205,554,205],"rotation_degrees":40.76555023923445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,624,135,205,554,205],"beta":{"interval_sums":[93159,83319,90226,84157,88969,86252],"interval_residues":[141,357,560,357,141,776],"display_cycle":[141,357,560,357,141,776],"intervals":[{"from_index":142,"to_index":351,"sum":93159,"residue":141},{"from_index":351,"to_index":560,"sum":83319,"residue":357},{"from_index":560,"to_index":769,"sum":90226,"residue":560},{"from_index":769,"to_index":978,"sum":84157,"residue":357},{"from_index":978,"to_index":1187,"sum":88969,"residue":141},{"from_index":1187,"to_index":142,"sum":86252,"residue":776}],"minimal_cycle":[141,357,560,357,141,776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[142,351],"circle_positions":838,"cycle_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":[143,352,561,770,979,1188],"clock_positions":[143,352,561,770,979,1188],"native_values":[499,775,80,775,499,356],"rotation_degrees":41.05263157894737,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[499,775,80,775,499,356],"beta":{"interval_sums":[93284,82679,90351,83936,88675,86031],"interval_residues":[266,555,685,136,685,555],"display_cycle":[266,555,685,136,685,555],"intervals":[{"from_index":143,"to_index":352,"sum":93284,"residue":266},{"from_index":352,"to_index":561,"sum":82679,"residue":555},{"from_index":561,"to_index":770,"sum":90351,"residue":685},{"from_index":770,"to_index":979,"sum":83936,"residue":136},{"from_index":979,"to_index":1188,"sum":88675,"residue":685},{"from_index":1188,"to_index":143,"sum":86031,"residue":555}],"minimal_cycle":[266,555,685,136,685,555],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[143,352],"circle_positions":838,"cycle_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":[144,353,562,771,980,1189],"clock_positions":[144,353,562,771,980,1189],"native_values":[634,561,215,142,215,561],"rotation_degrees":41.33971291866029,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,561,215,142,215,561],"beta":{"interval_sums":[93425,82198,90911,84293,88816,85969],"interval_residues":[407,74,407,493,826,493],"display_cycle":[407,74,407,493,826,493],"intervals":[{"from_index":144,"to_index":353,"sum":93425,"residue":407},{"from_index":353,"to_index":562,"sum":82198,"residue":74},{"from_index":562,"to_index":771,"sum":90911,"residue":407},{"from_index":771,"to_index":980,"sum":84293,"residue":493},{"from_index":980,"to_index":1189,"sum":88816,"residue":826},{"from_index":1189,"to_index":144,"sum":85969,"residue":493}],"minimal_cycle":[407,74,407,493,826,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":407,"start_interval_clock_positions":[144,353],"circle_positions":838,"cycle_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":[145,354,563,772,981,1190],"clock_positions":[145,354,563,772,981,1190],"native_values":[295,498,295,79,714,79],"rotation_degrees":41.6267942583732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,498,295,79,714,79],"beta":{"interval_sums":[93691,81915,90758,84429,88663,86524],"interval_residues":[673,629,254,629,673,210],"display_cycle":[673,629,254,629,673,210],"intervals":[{"from_index":145,"to_index":354,"sum":93691,"residue":673},{"from_index":354,"to_index":563,"sum":81915,"residue":629},{"from_index":563,"to_index":772,"sum":90758,"residue":254},{"from_index":772,"to_index":981,"sum":84429,"residue":629},{"from_index":981,"to_index":1190,"sum":88663,"residue":673},{"from_index":1190,"to_index":145,"sum":86524,"residue":210}],"minimal_cycle":[673,629,254,629,673,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":673,"start_interval_clock_positions":[145,354],"circle_positions":838,"cycle_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":[146,355,564,773,982,1191],"clock_positions":[146,355,564,773,982,1191],"native_values":[91,221,510,221,91,640],"rotation_degrees":41.91387559808612,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,221,510,221,91,640],"beta":{"interval_sums":[94098,81989,90327,84922,88651,86179],"interval_residues":[242,703,661,284,661,703],"display_cycle":[242,703,661,284,661,703],"intervals":[{"from_index":146,"to_index":355,"sum":94098,"residue":242},{"from_index":355,"to_index":564,"sum":81989,"residue":703},{"from_index":564,"to_index":773,"sum":90327,"residue":661},{"from_index":773,"to_index":982,"sum":84922,"residue":284},{"from_index":982,"to_index":1191,"sum":88651,"residue":661},{"from_index":1191,"to_index":146,"sum":86179,"residue":703}],"minimal_cycle":[242,703,661,284,661,703],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[146,355],"circle_positions":838,"cycle_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":[147,356,565,774,983,1192],"clock_positions":[147,356,565,774,983,1192],"native_values":[386,719,805,300,805,719],"rotation_degrees":42.20095693779904,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,719,805,300,805,719],"beta":{"interval_sums":[93933,81780,89743,84713,88486,85551],"interval_residues":[77,494,77,75,496,75],"display_cycle":[77,494,77,75,496,75],"intervals":[{"from_index":147,"to_index":356,"sum":93933,"residue":77},{"from_index":356,"to_index":565,"sum":81780,"residue":494},{"from_index":565,"to_index":774,"sum":89743,"residue":77},{"from_index":774,"to_index":983,"sum":84713,"residue":75},{"from_index":983,"to_index":1192,"sum":88486,"residue":496},{"from_index":1192,"to_index":147,"sum":85551,"residue":75}],"minimal_cycle":[77,494,77,75,496,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[147,356],"circle_positions":838,"cycle_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":[148,357,566,775,984,1193],"clock_positions":[148,357,566,775,984,1193],"native_values":[477,102,477,521,58,521],"rotation_degrees":42.48803827751196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,102,477,521,58,521],"beta":{"interval_sums":[94175,82483,89566,84997,89147,85416],"interval_residues":[319,359,738,359,319,778],"display_cycle":[319,359,738,359,319,778],"intervals":[{"from_index":148,"to_index":357,"sum":94175,"residue":319},{"from_index":357,"to_index":566,"sum":82483,"residue":359},{"from_index":566,"to_index":775,"sum":89566,"residue":738},{"from_index":775,"to_index":984,"sum":84997,"residue":359},{"from_index":984,"to_index":1193,"sum":89147,"residue":319},{"from_index":1193,"to_index":148,"sum":85416,"residue":778}],"minimal_cycle":[319,359,738,359,319,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[148,357],"circle_positions":838,"cycle_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":[149,358,567,776,985,1194],"clock_positions":[149,358,567,776,985,1194],"native_values":[25,821,444,821,25,402],"rotation_degrees":42.77511961722488,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,821,444,821,25,402],"beta":{"interval_sums":[94252,82139,89643,84234,89643,85491],"interval_residues":[396,15,815,434,815,15],"display_cycle":[396,15,815,434,815,15],"intervals":[{"from_index":149,"to_index":358,"sum":94252,"residue":396},{"from_index":358,"to_index":567,"sum":82139,"residue":15},{"from_index":567,"to_index":776,"sum":89643,"residue":815},{"from_index":776,"to_index":985,"sum":84234,"residue":434},{"from_index":985,"to_index":1194,"sum":89643,"residue":815},{"from_index":1194,"to_index":149,"sum":85491,"residue":15}],"minimal_cycle":[396,15,815,434,815,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[149,358],"circle_positions":838,"cycle_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":[150,359,568,777,986,1195],"clock_positions":[150,359,568,777,986,1195],"native_values":[502,85,83,504,83,85],"rotation_degrees":43.0622009569378,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,85,83,504,83,85],"beta":{"interval_sums":[94571,82498,90381,83755,89962,85431],"interval_residues":[715,374,715,793,296,793],"display_cycle":[715,374,715,793,296,793],"intervals":[{"from_index":150,"to_index":359,"sum":94571,"residue":715},{"from_index":359,"to_index":568,"sum":82498,"residue":374},{"from_index":568,"to_index":777,"sum":90381,"residue":715},{"from_index":777,"to_index":986,"sum":83755,"residue":793},{"from_index":986,"to_index":1195,"sum":89962,"residue":296},{"from_index":1195,"to_index":150,"sum":85431,"residue":793}],"minimal_cycle":[715,374,715,793,296,793],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":715,"start_interval_clock_positions":[150,359],"circle_positions":838,"cycle_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":[151,360,569,778,987,1196],"clock_positions":[151,360,569,778,987,1196],"native_values":[527,68,527,487,108,487],"rotation_degrees":43.34928229665072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,68,527,487,108,487],"beta":{"interval_sums":[94129,82513,90358,83351,89939,85446],"interval_residues":[273,389,692,389,273,808],"display_cycle":[273,389,692,389,273,808],"intervals":[{"from_index":151,"to_index":360,"sum":94129,"residue":273},{"from_index":360,"to_index":569,"sum":82513,"residue":389},{"from_index":569,"to_index":778,"sum":90358,"residue":692},{"from_index":778,"to_index":987,"sum":83351,"residue":389},{"from_index":987,"to_index":1196,"sum":89939,"residue":273},{"from_index":1196,"to_index":151,"sum":85446,"residue":808}],"minimal_cycle":[273,389,692,389,273,808],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":273,"start_interval_clock_positions":[151,360],"circle_positions":838,"cycle_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":[152,361,570,779,988,1197],"clock_positions":[152,361,570,779,988,1197],"native_values":[191,153,610,153,191,572],"rotation_degrees":43.63636363636363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,153,610,153,191,572],"beta":{"interval_sums":[94006,82887,90235,83306,90235,85401],"interval_residues":[150,763,569,344,569,763],"display_cycle":[150,763,569,344,569,763],"intervals":[{"from_index":152,"to_index":361,"sum":94006,"residue":150},{"from_index":361,"to_index":570,"sum":82887,"residue":763},{"from_index":570,"to_index":779,"sum":90235,"residue":569},{"from_index":779,"to_index":988,"sum":83306,"residue":344},{"from_index":988,"to_index":1197,"sum":90235,"residue":569},{"from_index":1197,"to_index":152,"sum":85401,"residue":763}],"minimal_cycle":[150,763,569,344,569,763],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[152,361],"circle_positions":838,"cycle_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":[153,362,571,780,989,1198],"clock_positions":[153,362,571,780,989,1198],"native_values":[718,221,299,640,299,221],"rotation_degrees":43.92344497607655,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,221,299,640,299,221],"beta":{"interval_sums":[93441,83276,90089,82857,90508,85371],"interval_residues":[423,314,423,733,4,733],"display_cycle":[423,314,423,733,4,733],"intervals":[{"from_index":153,"to_index":362,"sum":93441,"residue":423},{"from_index":362,"to_index":571,"sum":83276,"residue":314},{"from_index":571,"to_index":780,"sum":90089,"residue":423},{"from_index":780,"to_index":989,"sum":82857,"residue":733},{"from_index":989,"to_index":1198,"sum":90508,"residue":4},{"from_index":1198,"to_index":153,"sum":85371,"residue":733}],"minimal_cycle":[423,314,423,733,4,733],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":423,"start_interval_clock_positions":[153,362],"circle_positions":838,"cycle_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":[154,363,572,781,990,1199],"clock_positions":[154,363,572,781,990,1199],"native_values":[71,374,71,793,490,793],"rotation_degrees":44.21052631578947,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[71,374,71,793,490,793],"beta":{"interval_sums":[93591,83201,90658,82363,90239,85296],"interval_residues":[573,239,154,239,573,658],"display_cycle":[573,239,154,239,573,658],"intervals":[{"from_index":154,"to_index":363,"sum":93591,"residue":573},{"from_index":363,"to_index":572,"sum":83201,"residue":239},{"from_index":572,"to_index":781,"sum":90658,"residue":154},{"from_index":781,"to_index":990,"sum":82363,"residue":239},{"from_index":990,"to_index":1199,"sum":90239,"residue":573},{"from_index":1199,"to_index":154,"sum":85296,"residue":658}],"minimal_cycle":[573,239,154,239,573,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[154,363],"circle_positions":838,"cycle_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":[155,364,573,782,991,1200],"clock_positions":[155,364,573,782,991,1200],"native_values":[789,595,370,595,789,176],"rotation_degrees":44.49760765550239,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[789,595,370,595,789,176],"beta":{"interval_sums":[93176,82677,91081,82258,90243,85191],"interval_residues":[158,553,577,134,577,553],"display_cycle":[158,553,577,134,577,553],"intervals":[{"from_index":155,"to_index":364,"sum":93176,"residue":158},{"from_index":364,"to_index":573,"sum":82677,"residue":553},{"from_index":573,"to_index":782,"sum":91081,"residue":577},{"from_index":782,"to_index":991,"sum":82258,"residue":134},{"from_index":991,"to_index":1200,"sum":90243,"residue":577},{"from_index":1200,"to_index":155,"sum":85191,"residue":553}],"minimal_cycle":[158,553,577,134,577,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[155,364],"circle_positions":838,"cycle_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":[156,365,574,783,992,1201],"clock_positions":[156,365,574,783,992,1201],"native_values":[22,131,441,550,441,131],"rotation_degrees":44.78468899521531,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,131,441,550,441,131],"beta":{"interval_sums":[93749,82916,91235,82497,89978,85849],"interval_residues":[731,792,731,373,312,373],"display_cycle":[731,792,731,373,312,373],"intervals":[{"from_index":156,"to_index":365,"sum":93749,"residue":731},{"from_index":365,"to_index":574,"sum":82916,"residue":792},{"from_index":574,"to_index":783,"sum":91235,"residue":731},{"from_index":783,"to_index":992,"sum":82497,"residue":373},{"from_index":992,"to_index":1201,"sum":89978,"residue":312},{"from_index":1201,"to_index":156,"sum":85849,"residue":373}],"minimal_cycle":[731,792,731,373,312,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":731,"start_interval_clock_positions":[156,365],"circle_positions":838,"cycle_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":[157,366,575,784,993,1202],"clock_positions":[157,366,575,784,993,1202],"native_values":[811,726,811,307,392,307],"rotation_degrees":45.07177033492823,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[811,726,811,307,392,307],"beta":{"interval_sums":[93069,82631,90974,82631,89717,85564],"interval_residues":[51,507,470,507,51,88],"display_cycle":[51,507,470,507,51,88],"intervals":[{"from_index":157,"to_index":366,"sum":93069,"residue":51},{"from_index":366,"to_index":575,"sum":82631,"residue":507},{"from_index":575,"to_index":784,"sum":90974,"residue":470},{"from_index":784,"to_index":993,"sum":82631,"residue":507},{"from_index":993,"to_index":1202,"sum":89717,"residue":51},{"from_index":1202,"to_index":157,"sum":85564,"residue":88}],"minimal_cycle":[51,507,470,507,51,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":51,"start_interval_clock_positions":[157,366],"circle_positions":838,"cycle_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":[158,367,576,785,994,1203],"clock_positions":[158,367,576,785,994,1203],"native_values":[833,19,414,19,833,438],"rotation_degrees":45.35885167464115,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[833,19,414,19,833,438],"beta":{"interval_sums":[92962,83423,90867,83004,89191,85937],"interval_residues":[782,461,363,42,363,461],"display_cycle":[782,461,363,42,363,461],"intervals":[{"from_index":158,"to_index":367,"sum":92962,"residue":782},{"from_index":367,"to_index":576,"sum":83423,"residue":461},{"from_index":576,"to_index":785,"sum":90867,"residue":363},{"from_index":785,"to_index":994,"sum":83004,"residue":42},{"from_index":994,"to_index":1203,"sum":89191,"residue":363},{"from_index":1203,"to_index":158,"sum":85937,"residue":461}],"minimal_cycle":[782,461,363,42,363,461],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":782,"start_interval_clock_positions":[158,367],"circle_positions":838,"cycle_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":[159,368,577,786,995,1204],"clock_positions":[159,368,577,786,995,1204],"native_values":[806,745,387,326,387,745],"rotation_degrees":45.645933014354064,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[806,745,387,326,387,745],"beta":{"interval_sums":[92175,83092,90499,83511,89242,86025],"interval_residues":[833,130,833,549,414,549],"display_cycle":[833,130,833,549,414,549],"intervals":[{"from_index":159,"to_index":368,"sum":92175,"residue":833},{"from_index":368,"to_index":577,"sum":83092,"residue":130},{"from_index":577,"to_index":786,"sum":90499,"residue":833},{"from_index":786,"to_index":995,"sum":83511,"residue":549},{"from_index":995,"to_index":1204,"sum":89242,"residue":414},{"from_index":1204,"to_index":159,"sum":86025,"residue":549}],"minimal_cycle":[833,130,833,549,414,549],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":833,"start_interval_clock_positions":[159,368],"circle_positions":838,"cycle_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":[160,369,578,787,996,1205],"clock_positions":[160,369,578,787,996,1205],"native_values":[801,764,801,345,382,345],"rotation_degrees":45.933014354066984,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[801,764,801,345,382,345],"beta":{"interval_sums":[92119,82715,90024,83553,89605,86486],"interval_residues":[777,591,358,591,777,172],"display_cycle":[777,591,358,591,777,172],"intervals":[{"from_index":160,"to_index":369,"sum":92119,"residue":777},{"from_index":369,"to_index":578,"sum":82715,"residue":591},{"from_index":578,"to_index":787,"sum":90024,"residue":358},{"from_index":787,"to_index":996,"sum":83553,"residue":591},{"from_index":996,"to_index":1205,"sum":89605,"residue":777},{"from_index":1205,"to_index":160,"sum":86486,"residue":172}],"minimal_cycle":[777,591,358,591,777,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":777,"start_interval_clock_positions":[160,369],"circle_positions":838,"cycle_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":[161,370,579,788,997,1206],"clock_positions":[161,370,579,788,997,1206],"native_values":[769,671,350,671,769,252],"rotation_degrees":46.2200956937799,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,671,350,671,769,252],"beta":{"interval_sums":[92114,82845,90019,83264,89181,87035],"interval_residues":[772,721,353,302,353,721],"display_cycle":[772,721,353,302,353,721],"intervals":[{"from_index":161,"to_index":370,"sum":92114,"residue":772},{"from_index":370,"to_index":579,"sum":82845,"residue":721},{"from_index":579,"to_index":788,"sum":90019,"residue":353},{"from_index":788,"to_index":997,"sum":83264,"residue":302},{"from_index":997,"to_index":1206,"sum":89181,"residue":353},{"from_index":1206,"to_index":161,"sum":87035,"residue":721}],"minimal_cycle":[772,721,353,302,353,721],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":772,"start_interval_clock_positions":[161,370],"circle_positions":838,"cycle_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":[162,371,580,789,998,1207],"clock_positions":[162,371,580,789,998,1207],"native_values":[732,597,313,178,313,597],"rotation_degrees":46.50717703349282,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[732,597,313,178,313,597],"beta":{"interval_sums":[92053,82598,90377,83855,89120,87207],"interval_residues":[711,474,711,55,292,55],"display_cycle":[711,474,711,55,292,55],"intervals":[{"from_index":162,"to_index":371,"sum":92053,"residue":711},{"from_index":371,"to_index":580,"sum":82598,"residue":474},{"from_index":580,"to_index":789,"sum":90377,"residue":711},{"from_index":789,"to_index":998,"sum":83855,"residue":55},{"from_index":998,"to_index":1207,"sum":89120,"residue":292},{"from_index":1207,"to_index":162,"sum":87207,"residue":55}],"minimal_cycle":[711,474,711,55,292,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[162,371],"circle_positions":838,"cycle_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":[163,372,581,790,999,1208],"clock_positions":[163,372,581,790,999,1208],"native_values":[663,430,663,11,244,11],"rotation_degrees":46.79425837320574,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[663,430,663,11,244,11],"beta":{"interval_sums":[91987,82481,89892,84157,89473,87928],"interval_residues":[645,357,226,357,645,776],"display_cycle":[645,357,226,357,645,776],"intervals":[{"from_index":163,"to_index":372,"sum":91987,"residue":645},{"from_index":372,"to_index":581,"sum":82481,"residue":357},{"from_index":581,"to_index":790,"sum":89892,"residue":226},{"from_index":790,"to_index":999,"sum":84157,"residue":357},{"from_index":999,"to_index":1208,"sum":89473,"residue":645},{"from_index":1208,"to_index":163,"sum":87928,"residue":776}],"minimal_cycle":[645,357,226,357,645,776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[163,372],"circle_positions":838,"cycle_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":[164,373,582,791,1000,1209],"clock_positions":[164,373,582,791,1000,1209],"native_values":[557,189,138,189,557,608],"rotation_degrees":47.08133971291866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,189,138,189,557,608],"beta":{"interval_sums":[91860,82955,89765,84212,88927,87983],"interval_residues":[518,831,99,412,99,831],"display_cycle":[518,831,99,412,99,831],"intervals":[{"from_index":164,"to_index":373,"sum":91860,"residue":518},{"from_index":373,"to_index":582,"sum":82955,"residue":831},{"from_index":582,"to_index":791,"sum":89765,"residue":99},{"from_index":791,"to_index":1000,"sum":84212,"residue":412},{"from_index":1000,"to_index":1209,"sum":88927,"residue":99},{"from_index":1209,"to_index":164,"sum":87983,"residue":831}],"minimal_cycle":[518,831,99,412,99,831],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[164,373],"circle_positions":838,"cycle_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":[165,374,583,792,1001,1210],"clock_positions":[165,374,583,792,1001,1210],"native_values":[382,619,801,200,801,619],"rotation_degrees":47.36842105263158,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[382,619,801,200,801,619],"beta":{"interval_sums":[91667,82474,89153,84569,88734,87921],"interval_residues":[325,350,325,769,744,769],"display_cycle":[325,350,325,769,744,769],"intervals":[{"from_index":165,"to_index":374,"sum":91667,"residue":325},{"from_index":374,"to_index":583,"sum":82474,"residue":350},{"from_index":583,"to_index":792,"sum":89153,"residue":325},{"from_index":792,"to_index":1001,"sum":84569,"residue":769},{"from_index":1001,"to_index":1210,"sum":88734,"residue":744},{"from_index":1210,"to_index":165,"sum":87921,"residue":769}],"minimal_cycle":[325,350,325,769,744,769],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[165,374],"circle_positions":838,"cycle_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":[166,375,584,793,1002,1211],"clock_positions":[166,375,584,793,1002,1211],"native_values":[101,808,101,389,520,389],"rotation_degrees":47.655502392344495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,808,101,389,520,389],"beta":{"interval_sums":[92185,82467,89252,84981,88833,87914],"interval_residues":[5,343,424,343,5,762],"display_cycle":[5,343,424,343,5,762],"intervals":[{"from_index":166,"to_index":375,"sum":92185,"residue":5},{"from_index":375,"to_index":584,"sum":82467,"residue":343},{"from_index":584,"to_index":793,"sum":89252,"residue":424},{"from_index":793,"to_index":1002,"sum":84981,"residue":343},{"from_index":1002,"to_index":1211,"sum":88833,"residue":5},{"from_index":1211,"to_index":166,"sum":87914,"residue":762}],"minimal_cycle":[5,343,424,343,5,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[166,375],"circle_positions":838,"cycle_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":[167,376,585,794,1003,1212],"clock_positions":[167,376,585,794,1003,1212],"native_values":[483,589,64,589,483,170],"rotation_degrees":47.942583732057415,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,589,64,589,483,170],"beta":{"interval_sums":[92510,81979,89577,84912,88739,87845],"interval_residues":[330,693,749,274,749,693],"display_cycle":[330,693,749,274,749,693],"intervals":[{"from_index":167,"to_index":376,"sum":92510,"residue":330},{"from_index":376,"to_index":585,"sum":81979,"residue":693},{"from_index":585,"to_index":794,"sum":89577,"residue":749},{"from_index":794,"to_index":1003,"sum":84912,"residue":274},{"from_index":1003,"to_index":1212,"sum":88739,"residue":749},{"from_index":1212,"to_index":167,"sum":87845,"residue":693}],"minimal_cycle":[330,693,749,274,749,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[167,376],"circle_positions":838,"cycle_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":[168,377,586,795,1004,1213],"clock_positions":[168,377,586,795,1004,1213],"native_values":[584,559,165,140,165,559],"rotation_degrees":48.229665071770334,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,559,165,140,165,559],"beta":{"interval_sums":[92515,81484,90001,85255,88744,87769],"interval_residues":[335,198,335,617,754,617],"display_cycle":[335,198,335,617,754,617],"intervals":[{"from_index":168,"to_index":377,"sum":92515,"residue":335},{"from_index":377,"to_index":586,"sum":81484,"residue":198},{"from_index":586,"to_index":795,"sum":90001,"residue":335},{"from_index":795,"to_index":1004,"sum":85255,"residue":617},{"from_index":1004,"to_index":1213,"sum":88744,"residue":754},{"from_index":1213,"to_index":168,"sum":87769,"residue":617}],"minimal_cycle":[335,198,335,617,754,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[168,377],"circle_positions":838,"cycle_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":[169,378,587,796,1005,1214],"clock_positions":[169,378,587,796,1005,1214],"native_values":[229,310,229,729,648,729],"rotation_degrees":48.516746411483254,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,310,229,729,648,729],"beta":{"interval_sums":[92845,81339,89912,84691,88655,87624],"interval_residues":[665,53,246,53,665,472],"display_cycle":[665,53,246,53,665,472],"intervals":[{"from_index":169,"to_index":378,"sum":92845,"residue":665},{"from_index":378,"to_index":587,"sum":81339,"residue":53},{"from_index":587,"to_index":796,"sum":89912,"residue":246},{"from_index":796,"to_index":1005,"sum":84691,"residue":53},{"from_index":1005,"to_index":1214,"sum":88655,"residue":665},{"from_index":1214,"to_index":169,"sum":87624,"residue":472}],"minimal_cycle":[665,53,246,53,665,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[169,378],"circle_positions":838,"cycle_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":[170,379,588,797,1006,1215],"clock_positions":[170,379,588,797,1006,1215],"native_values":[813,31,394,31,813,450],"rotation_degrees":48.803827751196174,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[813,31,394,31,813,450],"beta":{"interval_sums":[92342,81537,90247,85308,88571,87403],"interval_residues":[162,251,581,670,581,251],"display_cycle":[162,251,581,670,581,251],"intervals":[{"from_index":170,"to_index":379,"sum":92342,"residue":162},{"from_index":379,"to_index":588,"sum":81537,"residue":251},{"from_index":588,"to_index":797,"sum":90247,"residue":581},{"from_index":797,"to_index":1006,"sum":85308,"residue":670},{"from_index":1006,"to_index":1215,"sum":88571,"residue":581},{"from_index":1215,"to_index":170,"sum":87403,"residue":251}],"minimal_cycle":[162,251,581,670,581,251],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[170,379],"circle_positions":838,"cycle_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":[171,380,589,798,1007,1216],"clock_positions":[171,380,589,798,1007,1216],"native_values":[204,341,623,760,623,341],"rotation_degrees":49.09090909090909,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[204,341,623,760,623,341],"beta":{"interval_sums":[92169,81590,89655,85361,88398,87875],"interval_residues":[827,304,827,723,408,723],"display_cycle":[827,304,827,723,408,723],"intervals":[{"from_index":171,"to_index":380,"sum":92169,"residue":827},{"from_index":380,"to_index":589,"sum":81590,"residue":304},{"from_index":589,"to_index":798,"sum":89655,"residue":827},{"from_index":798,"to_index":1007,"sum":85361,"residue":723},{"from_index":1007,"to_index":1216,"sum":88398,"residue":408},{"from_index":1216,"to_index":171,"sum":87875,"residue":723}],"minimal_cycle":[827,304,827,723,408,723],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":827,"start_interval_clock_positions":[171,380],"circle_positions":838,"cycle_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":[172,381,590,799,1008,1217],"clock_positions":[172,381,590,799,1008,1217],"native_values":[179,372,179,791,598,791],"rotation_degrees":49.377990430622006,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,372,179,791,598,791],"beta":{"interval_sums":[92331,81841,90236,85193,88141,87288],"interval_residues":[151,555,570,555,151,136],"display_cycle":[151,555,570,555,151,136],"intervals":[{"from_index":172,"to_index":381,"sum":92331,"residue":151},{"from_index":381,"to_index":590,"sum":81841,"residue":555},{"from_index":590,"to_index":799,"sum":90236,"residue":570},{"from_index":799,"to_index":1008,"sum":85193,"residue":555},{"from_index":1008,"to_index":1217,"sum":88141,"residue":151},{"from_index":1217,"to_index":172,"sum":87288,"residue":136}],"minimal_cycle":[151,555,570,555,151,136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[172,381],"circle_positions":838,"cycle_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":[173,382,591,800,1009,1218],"clock_positions":[173,382,591,800,1009,1218],"native_values":[383,713,802,713,383,294],"rotation_degrees":49.665071770334926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,713,802,713,383,294],"beta":{"interval_sums":[92320,81307,90225,85078,88549,87173],"interval_residues":[140,21,559,440,559,21],"display_cycle":[140,21,559,440,559,21],"intervals":[{"from_index":173,"to_index":382,"sum":92320,"residue":140},{"from_index":382,"to_index":591,"sum":81307,"residue":21},{"from_index":591,"to_index":800,"sum":90225,"residue":559},{"from_index":800,"to_index":1009,"sum":85078,"residue":440},{"from_index":1009,"to_index":1218,"sum":88549,"residue":559},{"from_index":1218,"to_index":173,"sum":87173,"residue":21}],"minimal_cycle":[140,21,559,440,559,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":140,"start_interval_clock_positions":[173,382],"circle_positions":838,"cycle_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":[174,383,592,801,1010,1219],"clock_positions":[174,383,592,801,1010,1219],"native_values":[562,247,143,666,143,247],"rotation_degrees":49.952153110047846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[562,247,143,666,143,247],"beta":{"interval_sums":[92471,81862,90795,84795,88700,87309],"interval_residues":[291,576,291,157,710,157],"display_cycle":[291,576,291,157,710,157],"intervals":[{"from_index":174,"to_index":383,"sum":92471,"residue":291},{"from_index":383,"to_index":592,"sum":81862,"residue":576},{"from_index":592,"to_index":801,"sum":90795,"residue":291},{"from_index":801,"to_index":1010,"sum":84795,"residue":157},{"from_index":1010,"to_index":1219,"sum":88700,"residue":710},{"from_index":1219,"to_index":174,"sum":87309,"residue":157}],"minimal_cycle":[291,576,291,157,710,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[174,383],"circle_positions":838,"cycle_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":[175,384,593,802,1011,1220],"clock_positions":[175,384,593,802,1011,1220],"native_values":[107,122,107,541,526,541],"rotation_degrees":50.239234449760765,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,122,107,541,526,541],"beta":{"interval_sums":[92611,81883,91354,84397,88421,87330],"interval_residues":[431,597,12,597,431,178],"display_cycle":[431,597,12,597,431,178],"intervals":[{"from_index":175,"to_index":384,"sum":92611,"residue":431},{"from_index":384,"to_index":593,"sum":81883,"residue":597},{"from_index":593,"to_index":802,"sum":91354,"residue":12},{"from_index":802,"to_index":1011,"sum":84397,"residue":597},{"from_index":1011,"to_index":1220,"sum":88421,"residue":431},{"from_index":1220,"to_index":175,"sum":87330,"residue":178}],"minimal_cycle":[431,597,12,597,431,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":431,"start_interval_clock_positions":[175,384],"circle_positions":838,"cycle_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":[176,385,594,803,1012,1221],"clock_positions":[176,385,594,803,1012,1221],"native_values":[669,369,250,369,669,788],"rotation_degrees":50.526315789473685,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,369,250,369,669,788],"beta":{"interval_sums":[92064,81621,91645,84554,88293,86649],"interval_residues":[722,335,303,754,303,335],"display_cycle":[722,335,303,754,303,335],"intervals":[{"from_index":176,"to_index":385,"sum":92064,"residue":722},{"from_index":385,"to_index":594,"sum":81621,"residue":335},{"from_index":594,"to_index":803,"sum":91645,"residue":303},{"from_index":803,"to_index":1012,"sum":84554,"residue":754},{"from_index":1012,"to_index":1221,"sum":88293,"residue":303},{"from_index":1221,"to_index":176,"sum":86649,"residue":335}],"minimal_cycle":[722,335,303,754,303,335],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[176,385],"circle_positions":838,"cycle_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":[177,386,595,804,1013,1222],"clock_positions":[177,386,595,804,1013,1222],"native_values":[776,491,357,72,357,491],"rotation_degrees":50.813397129186605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[776,491,357,72,357,491],"beta":{"interval_sums":[91657,81380,91657,85151,88724,86827],"interval_residues":[315,94,315,513,734,513],"display_cycle":[315,94,315,513,734,513],"intervals":[{"from_index":177,"to_index":386,"sum":91657,"residue":315},{"from_index":386,"to_index":595,"sum":81380,"residue":94},{"from_index":595,"to_index":804,"sum":91657,"residue":315},{"from_index":804,"to_index":1013,"sum":85151,"residue":513},{"from_index":1013,"to_index":1222,"sum":88724,"residue":734},{"from_index":1222,"to_index":177,"sum":86827,"residue":513}],"minimal_cycle":[315,94,315,513,734,513],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[177,386],"circle_positions":838,"cycle_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":[178,387,596,805,1014,1223],"clock_positions":[178,387,596,805,1014,1223],"native_values":[607,22,607,441,188,441],"rotation_degrees":51.100478468899524,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[607,22,607,441,188,441],"beta":{"interval_sums":[91541,81715,91122,85067,89027,87162],"interval_residues":[199,429,618,429,199,10],"display_cycle":[199,429,618,429,199,10],"intervals":[{"from_index":178,"to_index":387,"sum":91541,"residue":199},{"from_index":387,"to_index":596,"sum":81715,"residue":429},{"from_index":596,"to_index":805,"sum":91122,"residue":618},{"from_index":805,"to_index":1014,"sum":85067,"residue":429},{"from_index":1014,"to_index":1223,"sum":89027,"residue":199},{"from_index":1223,"to_index":178,"sum":87162,"residue":10}],"minimal_cycle":[199,429,618,429,199,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[178,387],"circle_positions":838,"cycle_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":[179,388,597,806,1015,1224],"clock_positions":[179,388,597,806,1015,1224],"native_values":[545,513,126,513,545,94],"rotation_degrees":51.38755980861244,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,513,126,513,545,94],"beta":{"interval_sums":[91018,81809,91437,84742,88923,87675],"interval_residues":[514,523,95,104,95,523],"display_cycle":[514,523,95,104,95,523],"intervals":[{"from_index":179,"to_index":388,"sum":91018,"residue":514},{"from_index":388,"to_index":597,"sum":81809,"residue":523},{"from_index":597,"to_index":806,"sum":91437,"residue":95},{"from_index":806,"to_index":1015,"sum":84742,"residue":104},{"from_index":1015,"to_index":1224,"sum":88923,"residue":95},{"from_index":1224,"to_index":179,"sum":87675,"residue":523}],"minimal_cycle":[514,523,95,104,95,523],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[179,388],"circle_positions":838,"cycle_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":[180,389,598,807,1016,1225],"clock_positions":[180,389,598,807,1016,1225],"native_values":[314,535,733,116,733,535],"rotation_degrees":51.67464114832536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[314,535,733,116,733,535],"beta":{"interval_sums":[91217,81400,91217,85171,88284,87685],"interval_residues":[713,114,713,533,294,533],"display_cycle":[713,114,713,533,294,533],"intervals":[{"from_index":180,"to_index":389,"sum":91217,"residue":713},{"from_index":389,"to_index":598,"sum":81400,"residue":114},{"from_index":598,"to_index":807,"sum":91217,"residue":713},{"from_index":807,"to_index":1016,"sum":85171,"residue":533},{"from_index":1016,"to_index":1225,"sum":88284,"residue":294},{"from_index":1225,"to_index":180,"sum":87685,"residue":533}],"minimal_cycle":[713,114,713,533,294,533],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[180,389],"circle_positions":838,"cycle_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":[181,390,599,808,1017,1226],"clock_positions":[181,390,599,808,1017,1226],"native_values":[21,210,21,629,440,629],"rotation_degrees":51.961722488038276,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,210,21,629,440,629],"beta":{"interval_sums":[91731,81923,91312,85275,88379,87370],"interval_residues":[389,637,808,637,389,218],"display_cycle":[389,637,808,637,389,218],"intervals":[{"from_index":181,"to_index":390,"sum":91731,"residue":389},{"from_index":390,"to_index":599,"sum":81923,"residue":637},{"from_index":599,"to_index":808,"sum":91312,"residue":808},{"from_index":808,"to_index":1017,"sum":85275,"residue":637},{"from_index":1017,"to_index":1226,"sum":88379,"residue":389},{"from_index":1226,"to_index":181,"sum":87370,"residue":218}],"minimal_cycle":[389,637,808,637,389,218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":389,"start_interval_clock_positions":[181,390],"circle_positions":838,"cycle_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":[182,391,600,809,1018,1227],"clock_positions":[182,391,600,809,1018,1227],"native_values":[335,745,754,745,335,326],"rotation_degrees":52.248803827751196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,745,754,745,335,326],"beta":{"interval_sums":[91606,81199,91187,84970,88673,87065],"interval_residues":[264,751,683,332,683,751],"display_cycle":[264,751,683,332,683,751],"intervals":[{"from_index":182,"to_index":391,"sum":91606,"residue":264},{"from_index":391,"to_index":600,"sum":81199,"residue":751},{"from_index":600,"to_index":809,"sum":91187,"residue":683},{"from_index":809,"to_index":1018,"sum":84970,"residue":332},{"from_index":1018,"to_index":1227,"sum":88673,"residue":683},{"from_index":1227,"to_index":182,"sum":87065,"residue":751}],"minimal_cycle":[264,751,683,332,683,751],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[182,391],"circle_positions":838,"cycle_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":[183,392,601,810,1019,1228],"clock_positions":[183,392,601,810,1019,1228],"native_values":[356,117,775,536,775,117],"rotation_degrees":52.535885167464116,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,117,775,536,775,117],"beta":{"interval_sums":[91995,81836,91157,84769,88224,87283],"interval_residues":[653,550,653,131,234,131],"display_cycle":[653,550,653,131,234,131],"intervals":[{"from_index":183,"to_index":392,"sum":91995,"residue":653},{"from_index":392,"to_index":601,"sum":81836,"residue":550},{"from_index":601,"to_index":810,"sum":91157,"residue":653},{"from_index":810,"to_index":1019,"sum":84769,"residue":131},{"from_index":1019,"to_index":1228,"sum":88224,"residue":234},{"from_index":1228,"to_index":183,"sum":87283,"residue":131}],"minimal_cycle":[653,550,653,131,234,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":653,"start_interval_clock_positions":[183,392],"circle_positions":838,"cycle_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":[184,393,602,811,1020,1229],"clock_positions":[184,393,602,811,1020,1229],"native_values":[691,24,691,443,272,443],"rotation_degrees":52.822966507177036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,24,691,443,272,443],"beta":{"interval_sums":[91421,82587,91002,85101,88069,87196],"interval_residues":[79,463,498,463,79,44],"display_cycle":[79,463,498,463,79,44],"intervals":[{"from_index":184,"to_index":393,"sum":91421,"residue":79},{"from_index":393,"to_index":602,"sum":82587,"residue":463},{"from_index":602,"to_index":811,"sum":91002,"residue":498},{"from_index":811,"to_index":1020,"sum":85101,"residue":463},{"from_index":1020,"to_index":1229,"sum":88069,"residue":79},{"from_index":1229,"to_index":184,"sum":87196,"residue":44}],"minimal_cycle":[79,463,498,463,79,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[184,393],"circle_positions":838,"cycle_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":[185,394,603,812,1021,1230],"clock_positions":[185,394,603,812,1021,1230],"native_values":[209,141,628,141,209,560],"rotation_degrees":53.110047846889955,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,141,628,141,209,560],"beta":{"interval_sums":[91236,83137,90817,85232,88303,87327],"interval_residues":[732,175,313,594,313,175],"display_cycle":[732,175,313,594,313,175],"intervals":[{"from_index":185,"to_index":394,"sum":91236,"residue":732},{"from_index":394,"to_index":603,"sum":83137,"residue":175},{"from_index":603,"to_index":812,"sum":90817,"residue":313},{"from_index":812,"to_index":1021,"sum":85232,"residue":594},{"from_index":1021,"to_index":1230,"sum":88303,"residue":313},{"from_index":1230,"to_index":185,"sum":87327,"residue":175}],"minimal_cycle":[732,175,313,594,313,175],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[185,394],"circle_positions":838,"cycle_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":[186,395,604,813,1022,1231],"clock_positions":[186,395,604,813,1022,1231],"native_values":[62,165,481,584,481,165],"rotation_degrees":53.39712918660287,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,165,481,584,481,165],"beta":{"interval_sums":[91315,83600,90477,84857,88382,87371],"interval_residues":[811,638,811,219,392,219],"display_cycle":[811,638,811,219,392,219],"intervals":[{"from_index":186,"to_index":395,"sum":91315,"residue":811},{"from_index":395,"to_index":604,"sum":83600,"residue":638},{"from_index":604,"to_index":813,"sum":90477,"residue":811},{"from_index":813,"to_index":1022,"sum":84857,"residue":219},{"from_index":1022,"to_index":1231,"sum":88382,"residue":392},{"from_index":1231,"to_index":186,"sum":87371,"residue":219}],"minimal_cycle":[811,638,811,219,392,219],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":811,"start_interval_clock_positions":[186,395],"circle_positions":838,"cycle_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":[187,396,605,814,1023,1232],"clock_positions":[187,396,605,814,1023,1232],"native_values":[271,306,271,725,690,725],"rotation_degrees":53.68421052631579,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,306,271,725,690,725],"beta":{"interval_sums":[91209,83775,90790,84613,87857,86708],"interval_residues":[705,813,286,813,705,394],"display_cycle":[705,813,286,813,705,394],"intervals":[{"from_index":187,"to_index":396,"sum":91209,"residue":705},{"from_index":396,"to_index":605,"sum":83775,"residue":813},{"from_index":605,"to_index":814,"sum":90790,"residue":286},{"from_index":814,"to_index":1023,"sum":84613,"residue":813},{"from_index":1023,"to_index":1232,"sum":87857,"residue":705},{"from_index":1232,"to_index":187,"sum":86708,"residue":394}],"minimal_cycle":[705,813,286,813,705,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":705,"start_interval_clock_positions":[187,396],"circle_positions":838,"cycle_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":[188,397,606,815,1024,1233],"clock_positions":[188,397,606,815,1024,1233],"native_values":[333,471,752,471,333,52],"rotation_degrees":53.97129186602871,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,471,752,471,333,52],"beta":{"interval_sums":[91182,83575,90763,84832,88249,86927],"interval_residues":[678,613,259,194,259,613],"display_cycle":[678,613,259,194,259,613],"intervals":[{"from_index":188,"to_index":397,"sum":91182,"residue":678},{"from_index":397,"to_index":606,"sum":83575,"residue":613},{"from_index":606,"to_index":815,"sum":90763,"residue":259},{"from_index":815,"to_index":1024,"sum":84832,"residue":194},{"from_index":1024,"to_index":1233,"sum":88249,"residue":259},{"from_index":1233,"to_index":188,"sum":86927,"residue":613}],"minimal_cycle":[678,613,259,194,259,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[188,397],"circle_positions":838,"cycle_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":[189,398,607,816,1025,1234],"clock_positions":[189,398,607,816,1025,1234],"native_values":[604,777,185,358,185,777],"rotation_degrees":54.25837320574163,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,777,185,358,185,777],"beta":{"interval_sums":[91049,83550,91049,84807,88116,86483],"interval_residues":[545,588,545,169,126,169],"display_cycle":[545,588,545,169,126,169],"intervals":[{"from_index":189,"to_index":398,"sum":91049,"residue":545},{"from_index":398,"to_index":607,"sum":83550,"residue":588},{"from_index":607,"to_index":816,"sum":91049,"residue":545},{"from_index":816,"to_index":1025,"sum":84807,"residue":169},{"from_index":1025,"to_index":1234,"sum":88116,"residue":126},{"from_index":1234,"to_index":189,"sum":86483,"residue":169}],"minimal_cycle":[545,588,545,169,126,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":545,"start_interval_clock_positions":[189,398],"circle_positions":838,"cycle_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":[190,399,608,817,1026,1235],"clock_positions":[190,399,608,817,1026,1235],"native_values":[99,410,99,829,518,829],"rotation_degrees":54.54545454545455,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,410,99,829,518,829],"beta":{"interval_sums":[91727,83325,91308,84163,88375,86258],"interval_residues":[385,363,804,363,385,782],"display_cycle":[385,363,804,363,385,782],"intervals":[{"from_index":190,"to_index":399,"sum":91727,"residue":385},{"from_index":399,"to_index":608,"sum":83325,"residue":363},{"from_index":608,"to_index":817,"sum":91308,"residue":804},{"from_index":817,"to_index":1026,"sum":84163,"residue":363},{"from_index":1026,"to_index":1235,"sum":88375,"residue":385},{"from_index":1235,"to_index":190,"sum":86258,"residue":782}],"minimal_cycle":[385,363,804,363,385,782],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[190,399],"circle_positions":838,"cycle_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":[191,400,609,818,1027,1236],"clock_positions":[191,400,609,818,1027,1236],"native_values":[703,349,284,349,703,768],"rotation_degrees":54.83253588516747,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,349,284,349,703,768],"beta":{"interval_sums":[91434,83075,91853,84332,88501,85589],"interval_residues":[92,113,511,532,511,113],"display_cycle":[92,113,511,532,511,113],"intervals":[{"from_index":191,"to_index":400,"sum":91434,"residue":92},{"from_index":400,"to_index":609,"sum":83075,"residue":113},{"from_index":609,"to_index":818,"sum":91853,"residue":511},{"from_index":818,"to_index":1027,"sum":84332,"residue":532},{"from_index":1027,"to_index":1236,"sum":88501,"residue":511},{"from_index":1236,"to_index":191,"sum":85589,"residue":113}],"minimal_cycle":[92,113,511,532,511,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[191,400],"circle_positions":838,"cycle_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":[192,401,610,819,1028,1237],"clock_positions":[192,401,610,819,1028,1237],"native_values":[802,759,383,340,383,759],"rotation_degrees":55.119617224880386,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[802,759,383,340,383,759],"beta":{"interval_sums":[90981,82600,91819,84695,88886,85533],"interval_residues":[477,476,477,57,58,57],"display_cycle":[477,476,477,57,58,57],"intervals":[{"from_index":192,"to_index":401,"sum":90981,"residue":477},{"from_index":401,"to_index":610,"sum":82600,"residue":476},{"from_index":610,"to_index":819,"sum":91819,"residue":477},{"from_index":819,"to_index":1028,"sum":84695,"residue":57},{"from_index":1028,"to_index":1237,"sum":88886,"residue":58},{"from_index":1237,"to_index":192,"sum":85533,"residue":57}],"minimal_cycle":[477,476,477,57,58,57],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":477,"start_interval_clock_positions":[192,401],"circle_positions":838,"cycle_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":[193,402,611,820,1029,1238],"clock_positions":[193,402,611,820,1029,1238],"native_values":[667,270,667,689,248,689],"rotation_degrees":55.4066985645933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,270,667,689,248,689],"beta":{"interval_sums":[91073,82713,91492,84389,89397,85646],"interval_residues":[569,589,150,589,569,170],"display_cycle":[569,589,150,589,569,170],"intervals":[{"from_index":193,"to_index":402,"sum":91073,"residue":569},{"from_index":402,"to_index":611,"sum":82713,"residue":589},{"from_index":611,"to_index":820,"sum":91492,"residue":150},{"from_index":820,"to_index":1029,"sum":84389,"residue":589},{"from_index":1029,"to_index":1238,"sum":89397,"residue":569},{"from_index":1238,"to_index":193,"sum":85646,"residue":170}],"minimal_cycle":[569,589,150,589,569,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":569,"start_interval_clock_positions":[193,402],"circle_positions":838,"cycle_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":[194,403,612,821,1030,1239],"clock_positions":[194,403,612,821,1030,1239],"native_values":[631,191,212,191,631,610],"rotation_degrees":55.69377990430622,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,191,212,191,631,610],"beta":{"interval_sums":[90712,83189,91969,84446,89455,85703],"interval_residues":[208,227,627,646,627,227],"display_cycle":[208,227,627,646,627,227],"intervals":[{"from_index":194,"to_index":403,"sum":90712,"residue":208},{"from_index":403,"to_index":612,"sum":83189,"residue":227},{"from_index":612,"to_index":821,"sum":91969,"residue":627},{"from_index":821,"to_index":1030,"sum":84446,"residue":646},{"from_index":1030,"to_index":1239,"sum":89455,"residue":627},{"from_index":1239,"to_index":194,"sum":85703,"residue":227}],"minimal_cycle":[208,227,627,646,627,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[194,403],"circle_positions":838,"cycle_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":[195,404,613,822,1031,1240],"clock_positions":[195,404,613,822,1031,1240],"native_values":[460,461,41,42,41,461],"rotation_degrees":55.98086124401914,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[460,461,41,42,41,461],"beta":{"interval_sums":[90443,82940,92119,85035,90024,85873],"interval_residues":[777,816,777,397,358,397],"display_cycle":[777,816,777,397,358,397],"intervals":[{"from_index":195,"to_index":404,"sum":90443,"residue":777},{"from_index":404,"to_index":613,"sum":82940,"residue":816},{"from_index":613,"to_index":822,"sum":92119,"residue":777},{"from_index":822,"to_index":1031,"sum":85035,"residue":397},{"from_index":1031,"to_index":1240,"sum":90024,"residue":358},{"from_index":1240,"to_index":195,"sum":85873,"residue":397}],"minimal_cycle":[777,816,777,397,358,397],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":777,"start_interval_clock_positions":[195,404],"circle_positions":838,"cycle_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":[196,405,614,823,1032,1241],"clock_positions":[196,405,614,823,1032,1241],"native_values":[253,652,253,233,672,233],"rotation_degrees":56.26794258373206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,652,253,233,672,233],"beta":{"interval_sums":[90651,82329,91908,84843,89813,86100],"interval_residues":[147,205,566,205,147,624],"display_cycle":[147,205,566,205,147,624],"intervals":[{"from_index":196,"to_index":405,"sum":90651,"residue":147},{"from_index":405,"to_index":614,"sum":82329,"residue":205},{"from_index":614,"to_index":823,"sum":91908,"residue":566},{"from_index":823,"to_index":1032,"sum":84843,"residue":205},{"from_index":1032,"to_index":1241,"sum":89813,"residue":147},{"from_index":1241,"to_index":196,"sum":86100,"residue":624}],"minimal_cycle":[147,205,566,205,147,624],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":147,"start_interval_clock_positions":[196,405],"circle_positions":838,"cycle_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":[197,406,615,824,1033,1242],"clock_positions":[197,406,615,824,1033,1242],"native_values":[713,275,294,275,713,694],"rotation_degrees":56.55502392344498,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,275,294,275,713,694],"beta":{"interval_sums":[90590,82307,91847,85240,89333,85659],"interval_residues":[86,183,505,602,505,183],"display_cycle":[86,183,505,602,505,183],"intervals":[{"from_index":197,"to_index":406,"sum":90590,"residue":86},{"from_index":406,"to_index":615,"sum":82307,"residue":183},{"from_index":615,"to_index":824,"sum":91847,"residue":505},{"from_index":824,"to_index":1033,"sum":85240,"residue":602},{"from_index":1033,"to_index":1242,"sum":89333,"residue":505},{"from_index":1242,"to_index":197,"sum":85659,"residue":183}],"minimal_cycle":[86,183,505,602,505,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[197,406],"circle_positions":838,"cycle_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":[198,407,616,825,1034,1243],"clock_positions":[198,407,616,825,1034,1243],"native_values":[128,89,547,508,547,89],"rotation_degrees":56.8421052631579,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[128,89,547,508,547,89],"beta":{"interval_sums":[90737,82512,91575,85445,89480,86283],"interval_residues":[233,388,233,807,652,807],"display_cycle":[233,388,233,807,652,807],"intervals":[{"from_index":198,"to_index":407,"sum":90737,"residue":233},{"from_index":407,"to_index":616,"sum":82512,"residue":388},{"from_index":616,"to_index":825,"sum":91575,"residue":233},{"from_index":825,"to_index":1034,"sum":85445,"residue":807},{"from_index":1034,"to_index":1243,"sum":89480,"residue":652},{"from_index":1243,"to_index":198,"sum":86283,"residue":807}],"minimal_cycle":[233,388,233,807,652,807],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[198,407],"circle_positions":838,"cycle_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":[199,408,617,826,1035,1244],"clock_positions":[199,408,617,826,1035,1244],"native_values":[3,364,3,783,422,783],"rotation_degrees":57.12918660287081,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,364,3,783,422,783],"beta":{"interval_sums":[90823,82695,92080,85209,89147,85628],"interval_residues":[319,571,738,571,319,152],"display_cycle":[319,571,738,571,319,152],"intervals":[{"from_index":199,"to_index":408,"sum":90823,"residue":319},{"from_index":408,"to_index":617,"sum":82695,"residue":571},{"from_index":617,"to_index":826,"sum":92080,"residue":738},{"from_index":826,"to_index":1035,"sum":85209,"residue":571},{"from_index":1035,"to_index":1244,"sum":89147,"residue":319},{"from_index":1244,"to_index":199,"sum":85628,"residue":152}],"minimal_cycle":[319,571,738,571,319,152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":319,"start_interval_clock_positions":[199,408],"circle_positions":838,"cycle_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":[200,409,618,827,1036,1245],"clock_positions":[200,409,618,827,1036,1245],"native_values":[131,453,550,453,131,34],"rotation_degrees":57.41626794258373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,453,550,453,131,34],"beta":{"interval_sums":[91056,82245,92313,85178,89799,85597],"interval_residues":[552,121,133,540,133,121],"display_cycle":[552,121,133,540,133,121],"intervals":[{"from_index":200,"to_index":409,"sum":91056,"residue":552},{"from_index":409,"to_index":618,"sum":82245,"residue":121},{"from_index":618,"to_index":827,"sum":92313,"residue":133},{"from_index":827,"to_index":1036,"sum":85178,"residue":540},{"from_index":1036,"to_index":1245,"sum":89799,"residue":133},{"from_index":1245,"to_index":200,"sum":85597,"residue":121}],"minimal_cycle":[552,121,133,540,133,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[200,409],"circle_positions":838,"cycle_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":[201,410,619,828,1037,1246],"clock_positions":[201,410,619,828,1037,1246],"native_values":[134,817,553,398,553,817],"rotation_degrees":57.70334928229665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[134,817,553,398,553,817],"beta":{"interval_sums":[91375,81978,92213,84911,89280,84911],"interval_residues":[33,692,33,273,452,273],"display_cycle":[33,692,33,273,452,273],"intervals":[{"from_index":201,"to_index":410,"sum":91375,"residue":33},{"from_index":410,"to_index":619,"sum":81978,"residue":692},{"from_index":619,"to_index":828,"sum":92213,"residue":33},{"from_index":828,"to_index":1037,"sum":84911,"residue":273},{"from_index":1037,"to_index":1246,"sum":89280,"residue":452},{"from_index":1246,"to_index":201,"sum":84911,"residue":273}],"minimal_cycle":[33,692,33,273,452,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":33,"start_interval_clock_positions":[201,410],"circle_positions":838,"cycle_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":[202,411,620,829,1038,1247],"clock_positions":[202,411,620,829,1038,1247],"native_values":[265,432,265,13,684,13],"rotation_degrees":57.99043062200957,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,432,265,13,684,13],"beta":{"interval_sums":[91927,82099,92346,85451,89413,85032],"interval_residues":[585,813,166,813,585,394],"display_cycle":[585,813,166,813,585,394],"intervals":[{"from_index":202,"to_index":411,"sum":91927,"residue":585},{"from_index":411,"to_index":620,"sum":82099,"residue":813},{"from_index":620,"to_index":829,"sum":92346,"residue":166},{"from_index":829,"to_index":1038,"sum":85451,"residue":813},{"from_index":1038,"to_index":1247,"sum":89413,"residue":585},{"from_index":1247,"to_index":202,"sum":85032,"residue":394}],"minimal_cycle":[585,813,166,813,585,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":585,"start_interval_clock_positions":[202,411],"circle_positions":838,"cycle_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":[203,412,621,830,1039,1248],"clock_positions":[203,412,621,830,1039,1248],"native_values":[399,411,818,411,399,830],"rotation_degrees":58.27751196172249,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[399,411,818,411,399,830],"beta":{"interval_sums":[91960,81953,91541,85724,89027,84467],"interval_residues":[618,667,199,248,199,667],"display_cycle":[618,667,199,248,199,667],"intervals":[{"from_index":203,"to_index":412,"sum":91960,"residue":618},{"from_index":412,"to_index":621,"sum":81953,"residue":667},{"from_index":621,"to_index":830,"sum":91541,"residue":199},{"from_index":830,"to_index":1039,"sum":85724,"residue":248},{"from_index":1039,"to_index":1248,"sum":89027,"residue":199},{"from_index":1248,"to_index":203,"sum":84467,"residue":667}],"minimal_cycle":[618,667,199,248,199,667],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[203,412],"circle_positions":838,"cycle_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":[204,413,622,831,1040,1249],"clock_positions":[204,413,622,831,1040,1249],"native_values":[664,5,245,424,245,5],"rotation_degrees":58.56459330143541,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[664,5,245,424,245,5],"beta":{"interval_sums":[91707,82766,91707,85699,89612,84861],"interval_residues":[365,642,365,223,784,223],"display_cycle":[365,642,365,223,784,223],"intervals":[{"from_index":204,"to_index":413,"sum":91707,"residue":365},{"from_index":413,"to_index":622,"sum":82766,"residue":642},{"from_index":622,"to_index":831,"sum":91707,"residue":365},{"from_index":831,"to_index":1040,"sum":85699,"residue":223},{"from_index":1040,"to_index":1249,"sum":89612,"residue":784},{"from_index":1249,"to_index":204,"sum":84861,"residue":223}],"minimal_cycle":[365,642,365,223,784,223],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":365,"start_interval_clock_positions":[204,413],"circle_positions":838,"cycle_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":[205,414,623,832,1041,1250],"clock_positions":[205,414,623,832,1041,1250],"native_values":[225,416,225,835,644,835],"rotation_degrees":58.85167464114833,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,416,225,835,644,835],"beta":{"interval_sums":[91487,82595,91906,85109,88973,84690],"interval_residues":[145,471,564,471,145,52],"display_cycle":[145,471,564,471,145,52],"intervals":[{"from_index":205,"to_index":414,"sum":91487,"residue":145},{"from_index":414,"to_index":623,"sum":82595,"residue":471},{"from_index":623,"to_index":832,"sum":91906,"residue":564},{"from_index":832,"to_index":1041,"sum":85109,"residue":471},{"from_index":1041,"to_index":1250,"sum":88973,"residue":145},{"from_index":1250,"to_index":205,"sum":84690,"residue":52}],"minimal_cycle":[145,471,564,471,145,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[205,414],"circle_positions":838,"cycle_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":[206,415,624,833,1042,1251],"clock_positions":[206,415,624,833,1042,1251],"native_values":[51,421,470,421,51,2],"rotation_degrees":59.13875598086124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,421,470,421,51,2],"beta":{"interval_sums":[91852,82399,92271,85332,89757,84913],"interval_residues":[510,275,91,694,91,275],"display_cycle":[510,275,91,694,91,275],"intervals":[{"from_index":206,"to_index":415,"sum":91852,"residue":510},{"from_index":415,"to_index":624,"sum":82399,"residue":275},{"from_index":624,"to_index":833,"sum":92271,"residue":91},{"from_index":833,"to_index":1042,"sum":85332,"residue":694},{"from_index":1042,"to_index":1251,"sum":89757,"residue":91},{"from_index":1251,"to_index":206,"sum":84913,"residue":275}],"minimal_cycle":[510,275,91,694,91,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[206,415],"circle_positions":838,"cycle_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":[207,416,625,834,1043,1252],"clock_positions":[207,416,625,834,1043,1252],"native_values":[276,837,695,418,695,837],"rotation_degrees":59.42583732057416,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[276,837,695,418,695,837],"beta":{"interval_sums":[91997,82032,91997,84965,89064,84127],"interval_residues":[655,746,655,327,236,327],"display_cycle":[655,746,655,327,236,327],"intervals":[{"from_index":207,"to_index":416,"sum":91997,"residue":655},{"from_index":416,"to_index":625,"sum":82032,"residue":746},{"from_index":625,"to_index":834,"sum":91997,"residue":655},{"from_index":834,"to_index":1043,"sum":84965,"residue":327},{"from_index":1043,"to_index":1252,"sum":89064,"residue":236},{"from_index":1252,"to_index":207,"sum":84127,"residue":327}],"minimal_cycle":[655,746,655,327,236,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":655,"start_interval_clock_positions":[207,416],"circle_positions":838,"cycle_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":[208,417,626,835,1044,1253],"clock_positions":[208,417,626,835,1044,1253],"native_values":[327,420,327,1,746,1],"rotation_degrees":59.71291866028708,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,420,327,1,746,1],"beta":{"interval_sums":[92507,82307,92088,85659,89155,84402],"interval_residues":[327,183,746,183,327,602],"display_cycle":[327,183,746,183,327,602],"intervals":[{"from_index":208,"to_index":417,"sum":92507,"residue":327},{"from_index":417,"to_index":626,"sum":82307,"residue":183},{"from_index":626,"to_index":835,"sum":92088,"residue":746},{"from_index":835,"to_index":1044,"sum":85659,"residue":183},{"from_index":1044,"to_index":1253,"sum":89155,"residue":327},{"from_index":1253,"to_index":208,"sum":84402,"residue":602}],"minimal_cycle":[327,183,746,183,327,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[208,417],"circle_positions":838,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,418,1045,627,209,836,0],"clock_positions":[1254,418,1045,627,209,836,1254],"native_values":[838,419,603,184,603,419,838],"reduced_m9_values":[9,5,9,4,9,5,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":209,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,209,418,627,836,1045],"clock_positions":[1254,209,418,627,836,1045],"native_values":[838,603,419,184,419,603],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1254,"value":838},{"alpha_index":209,"clock_position":209,"value":603},{"alpha_index":418,"clock_position":418,"value":419},{"alpha_index":627,"clock_position":627,"value":184},{"alpha_index":836,"clock_position":836,"value":419},{"alpha_index":1045,"clock_position":1045,"value":603}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,210,419,628,837,1046],"clock_positions":[1,210,419,628,837,1046],"native_values":[1,92,1,511,420,511],"rotation_degrees":0.28708133971291866,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":210,"clock_position":210,"value":92},{"alpha_index":419,"clock_position":419,"value":1},{"alpha_index":628,"clock_position":628,"value":511},{"alpha_index":837,"clock_position":837,"value":420},{"alpha_index":1046,"clock_position":1046,"value":511}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,211,420,629,838,1047],"clock_positions":[2,211,420,629,838,1047],"native_values":[1,695,420,695,1,276],"rotation_degrees":0.5741626794258373,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":211,"clock_position":211,"value":695},{"alpha_index":420,"clock_position":420,"value":420},{"alpha_index":629,"clock_position":629,"value":695},{"alpha_index":838,"clock_position":838,"value":1},{"alpha_index":1047,"clock_position":1047,"value":276}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,212,421,630,839,1048],"clock_positions":[3,212,421,630,839,1048],"native_values":[2,787,421,368,421,787],"rotation_degrees":0.861244019138756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":212,"clock_position":212,"value":787},{"alpha_index":421,"clock_position":421,"value":421},{"alpha_index":630,"clock_position":630,"value":368},{"alpha_index":839,"clock_position":839,"value":421},{"alpha_index":1048,"clock_position":1048,"value":787}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,213,422,631,840,1049],"clock_positions":[4,213,422,631,840,1049],"native_values":[3,644,3,225,422,225],"rotation_degrees":1.1483253588516746,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":213,"clock_position":213,"value":644},{"alpha_index":631,"clock_position":631,"value":225},{"alpha_index":840,"clock_position":840,"value":422},{"alpha_index":1049,"clock_position":1049,"value":225}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,214,423,632,841,1050],"clock_positions":[5,214,423,632,841,1050],"native_values":[5,593,424,593,5,174],"rotation_degrees":1.4354066985645932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":214,"clock_position":214,"value":593},{"alpha_index":423,"clock_position":423,"value":424},{"alpha_index":632,"clock_position":632,"value":593},{"alpha_index":841,"clock_position":841,"value":5},{"alpha_index":1050,"clock_position":1050,"value":174}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,215,424,633,842,1051],"clock_positions":[6,215,424,633,842,1051],"native_values":[8,399,427,818,427,399],"rotation_degrees":1.722488038277512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":215,"clock_position":215,"value":399},{"alpha_index":424,"clock_position":424,"value":427},{"alpha_index":633,"clock_position":633,"value":818},{"alpha_index":842,"clock_position":842,"value":427},{"alpha_index":1051,"clock_position":1051,"value":399}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,216,425,634,843,1052],"clock_positions":[7,216,425,634,843,1052],"native_values":[13,154,13,573,432,573],"rotation_degrees":2.0095693779904304,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":216,"clock_position":216,"value":154},{"alpha_index":425,"clock_position":425,"value":13},{"alpha_index":634,"clock_position":634,"value":573},{"alpha_index":843,"clock_position":843,"value":432},{"alpha_index":1052,"clock_position":1052,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,217,426,635,844,1053],"clock_positions":[8,217,426,635,844,1053],"native_values":[21,553,440,553,21,134],"rotation_degrees":2.2966507177033493,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":217,"clock_position":217,"value":553},{"alpha_index":426,"clock_position":426,"value":440},{"alpha_index":635,"clock_position":635,"value":553},{"alpha_index":844,"clock_position":844,"value":21},{"alpha_index":1053,"clock_position":1053,"value":134}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,218,427,636,845,1054],"clock_positions":[9,218,427,636,845,1054],"native_values":[34,707,453,288,453,707],"rotation_degrees":2.583732057416268,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":218,"clock_position":218,"value":707},{"alpha_index":427,"clock_position":427,"value":453},{"alpha_index":636,"clock_position":636,"value":288},{"alpha_index":845,"clock_position":845,"value":453},{"alpha_index":1054,"clock_position":1054,"value":707}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,219,428,637,846,1055],"clock_positions":[10,219,428,637,846,1055],"native_values":[55,422,55,3,474,3],"rotation_degrees":2.8708133971291865,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":219,"clock_position":219,"value":422},{"alpha_index":428,"clock_position":428,"value":55},{"alpha_index":846,"clock_position":846,"value":474}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,220,429,638,847,1056],"clock_positions":[11,220,429,638,847,1056],"native_values":[89,291,508,291,89,710],"rotation_degrees":3.1578947368421053,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":220,"clock_position":220,"value":291},{"alpha_index":429,"clock_position":429,"value":508},{"alpha_index":638,"clock_position":638,"value":291},{"alpha_index":847,"clock_position":847,"value":89},{"alpha_index":1056,"clock_position":1056,"value":710}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,221,430,639,848,1057],"clock_positions":[12,221,430,639,848,1057],"native_values":[144,713,563,294,563,713],"rotation_degrees":3.444976076555024,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":221,"clock_position":221,"value":713},{"alpha_index":430,"clock_position":430,"value":563},{"alpha_index":639,"clock_position":639,"value":294},{"alpha_index":848,"clock_position":848,"value":563},{"alpha_index":1057,"clock_position":1057,"value":713}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,222,431,640,849,1058],"clock_positions":[13,222,431,640,849,1058],"native_values":[233,166,233,585,652,585],"rotation_degrees":3.7320574162679425,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":222,"clock_position":222,"value":166},{"alpha_index":431,"clock_position":431,"value":233},{"alpha_index":640,"clock_position":640,"value":585},{"alpha_index":849,"clock_position":849,"value":652},{"alpha_index":1058,"clock_position":1058,"value":585}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,223,432,641,850,1059],"clock_positions":[14,223,432,641,850,1059],"native_values":[377,41,796,41,377,460],"rotation_degrees":4.019138755980861,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":223,"clock_position":223,"value":41},{"alpha_index":432,"clock_position":432,"value":796},{"alpha_index":641,"clock_position":641,"value":41},{"alpha_index":850,"clock_position":850,"value":377},{"alpha_index":1059,"clock_position":1059,"value":460}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,224,433,642,851,1060],"clock_positions":[15,224,433,642,851,1060],"native_values":[610,207,191,626,191,207],"rotation_degrees":4.30622009569378,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":224,"clock_position":224,"value":207},{"alpha_index":433,"clock_position":433,"value":191},{"alpha_index":642,"clock_position":642,"value":626},{"alpha_index":851,"clock_position":851,"value":191},{"alpha_index":1060,"clock_position":1060,"value":207}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,225,434,643,852,1061],"clock_positions":[16,225,434,643,852,1061],"native_values":[149,248,149,667,568,667],"rotation_degrees":4.5933014354066986,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":149},{"alpha_index":225,"clock_position":225,"value":248},{"alpha_index":434,"clock_position":434,"value":149},{"alpha_index":643,"clock_position":643,"value":667},{"alpha_index":852,"clock_position":852,"value":568},{"alpha_index":1061,"clock_position":1061,"value":667}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,226,435,644,853,1062],"clock_positions":[17,226,435,644,853,1062],"native_values":[759,455,340,455,759,36],"rotation_degrees":4.880382775119617,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":759},{"alpha_index":226,"clock_position":226,"value":455},{"alpha_index":435,"clock_position":435,"value":340},{"alpha_index":644,"clock_position":644,"value":455},{"alpha_index":853,"clock_position":853,"value":759},{"alpha_index":1062,"clock_position":1062,"value":36}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,227,436,645,854,1063],"clock_positions":[18,227,436,645,854,1063],"native_values":[70,703,489,284,489,703],"rotation_degrees":5.167464114832536,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":70},{"alpha_index":227,"clock_position":227,"value":703},{"alpha_index":436,"clock_position":436,"value":489},{"alpha_index":645,"clock_position":645,"value":284},{"alpha_index":854,"clock_position":854,"value":489},{"alpha_index":1063,"clock_position":1063,"value":703}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,228,437,646,855,1064],"clock_positions":[19,228,437,646,855,1064],"native_values":[829,320,829,739,410,739],"rotation_degrees":5.454545454545454,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":829},{"alpha_index":228,"clock_position":228,"value":320},{"alpha_index":437,"clock_position":437,"value":829},{"alpha_index":646,"clock_position":646,"value":739},{"alpha_index":855,"clock_position":855,"value":410},{"alpha_index":1064,"clock_position":1064,"value":739}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,229,438,647,856,1065],"clock_positions":[20,229,438,647,856,1065],"native_values":[61,185,480,185,61,604],"rotation_degrees":5.741626794258373,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":61},{"alpha_index":229,"clock_position":229,"value":185},{"alpha_index":438,"clock_position":438,"value":480},{"alpha_index":647,"clock_position":647,"value":185},{"alpha_index":856,"clock_position":856,"value":61},{"alpha_index":1065,"clock_position":1065,"value":604}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,230,439,648,857,1066],"clock_positions":[21,230,439,648,857,1066],"native_values":[52,505,471,86,471,505],"rotation_degrees":6.028708133971292,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":52},{"alpha_index":230,"clock_position":230,"value":505},{"alpha_index":439,"clock_position":439,"value":471},{"alpha_index":648,"clock_position":648,"value":86},{"alpha_index":857,"clock_position":857,"value":471},{"alpha_index":1066,"clock_position":1066,"value":505}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,231,440,649,858,1067],"clock_positions":[22,231,440,649,858,1067],"native_values":[113,690,113,271,532,271],"rotation_degrees":6.315789473684211,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":113},{"alpha_index":231,"clock_position":231,"value":690},{"alpha_index":440,"clock_position":440,"value":113},{"alpha_index":649,"clock_position":649,"value":271},{"alpha_index":858,"clock_position":858,"value":532},{"alpha_index":1067,"clock_position":1067,"value":271}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,232,441,650,859,1068],"clock_positions":[23,232,441,650,859,1068],"native_values":[165,357,584,357,165,776],"rotation_degrees":6.6028708133971294,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":165},{"alpha_index":232,"clock_position":232,"value":357},{"alpha_index":441,"clock_position":441,"value":584},{"alpha_index":650,"clock_position":650,"value":357},{"alpha_index":859,"clock_position":859,"value":165},{"alpha_index":1068,"clock_position":1068,"value":776}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,233,442,651,860,1069],"clock_positions":[24,233,442,651,860,1069],"native_values":[278,209,697,628,697,209],"rotation_degrees":6.889952153110048,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":278},{"alpha_index":233,"clock_position":233,"value":209},{"alpha_index":442,"clock_position":442,"value":697},{"alpha_index":651,"clock_position":651,"value":628},{"alpha_index":860,"clock_position":860,"value":697},{"alpha_index":1069,"clock_position":1069,"value":209}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,234,443,652,861,1070],"clock_positions":[25,234,443,652,861,1070],"native_values":[443,566,443,147,24,147],"rotation_degrees":7.177033492822966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":443},{"alpha_index":234,"clock_position":234,"value":566},{"alpha_index":443,"clock_position":443,"value":443},{"alpha_index":652,"clock_position":652,"value":147},{"alpha_index":861,"clock_position":861,"value":24},{"alpha_index":1070,"clock_position":1070,"value":147}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,235,444,653,862,1071],"clock_positions":[26,235,444,653,862,1071],"native_values":[721,775,302,775,721,356],"rotation_degrees":7.464114832535885,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":721},{"alpha_index":235,"clock_position":235,"value":775},{"alpha_index":444,"clock_position":444,"value":302},{"alpha_index":653,"clock_position":653,"value":775},{"alpha_index":862,"clock_position":862,"value":721},{"alpha_index":1071,"clock_position":1071,"value":356}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,236,445,654,863,1072],"clock_positions":[27,236,445,654,863,1072],"native_values":[326,503,745,84,745,503],"rotation_degrees":7.751196172248804,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":326},{"alpha_index":236,"clock_position":236,"value":503},{"alpha_index":445,"clock_position":445,"value":745},{"alpha_index":654,"clock_position":654,"value":84},{"alpha_index":863,"clock_position":863,"value":745},{"alpha_index":1072,"clock_position":1072,"value":503}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,237,446,655,864,1073],"clock_positions":[28,237,446,655,864,1073],"native_values":[209,440,209,21,628,21],"rotation_degrees":8.038277511961722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":209},{"alpha_index":237,"clock_position":237,"value":440},{"alpha_index":446,"clock_position":446,"value":209},{"alpha_index":655,"clock_position":655,"value":21},{"alpha_index":864,"clock_position":864,"value":628},{"alpha_index":1073,"clock_position":1073,"value":21}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,238,447,656,865,1074],"clock_positions":[29,238,447,656,865,1074],"native_values":[535,105,116,105,535,524],"rotation_degrees":8.325358851674642,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":535},{"alpha_index":238,"clock_position":238,"value":105},{"alpha_index":447,"clock_position":447,"value":116},{"alpha_index":656,"clock_position":656,"value":105},{"alpha_index":865,"clock_position":865,"value":535},{"alpha_index":1074,"clock_position":1074,"value":524}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,239,448,657,866,1075],"clock_positions":[30,239,448,657,866,1075],"native_values":[744,545,325,126,325,545],"rotation_degrees":8.61244019138756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":744},{"alpha_index":239,"clock_position":239,"value":545},{"alpha_index":448,"clock_position":448,"value":325},{"alpha_index":657,"clock_position":657,"value":126},{"alpha_index":866,"clock_position":866,"value":325},{"alpha_index":1075,"clock_position":1075,"value":545}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,240,449,658,867,1076],"clock_positions":[31,240,449,658,867,1076],"native_values":[441,650,441,231,22,231],"rotation_degrees":8.89952153110048,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":441},{"alpha_index":240,"clock_position":240,"value":650},{"alpha_index":449,"clock_position":449,"value":441},{"alpha_index":658,"clock_position":658,"value":231},{"alpha_index":867,"clock_position":867,"value":22},{"alpha_index":1076,"clock_position":1076,"value":231}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,241,450,659,868,1077],"clock_positions":[32,241,450,659,868,1077],"native_values":[347,357,766,357,347,776],"rotation_degrees":9.186602870813397,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":347},{"alpha_index":241,"clock_position":241,"value":357},{"alpha_index":450,"clock_position":450,"value":766},{"alpha_index":659,"clock_position":659,"value":357},{"alpha_index":868,"clock_position":868,"value":347},{"alpha_index":1077,"clock_position":1077,"value":776}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,242,451,660,869,1078],"clock_positions":[33,242,451,660,869,1078],"native_values":[788,169,369,588,369,169],"rotation_degrees":9.473684210526315,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":788},{"alpha_index":242,"clock_position":242,"value":169},{"alpha_index":451,"clock_position":451,"value":369},{"alpha_index":660,"clock_position":660,"value":588},{"alpha_index":869,"clock_position":869,"value":369},{"alpha_index":1078,"clock_position":1078,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,243,452,661,870,1079],"clock_positions":[34,243,452,661,870,1079],"native_values":[297,526,297,107,716,107],"rotation_degrees":9.760765550239235,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":297},{"alpha_index":243,"clock_position":243,"value":526},{"alpha_index":452,"clock_position":452,"value":297},{"alpha_index":661,"clock_position":661,"value":107},{"alpha_index":870,"clock_position":870,"value":716},{"alpha_index":1079,"clock_position":1079,"value":107}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,244,453,662,871,1080],"clock_positions":[35,244,453,662,871,1080],"native_values":[247,695,666,695,247,276],"rotation_degrees":10.047846889952153,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":247},{"alpha_index":244,"clock_position":244,"value":695},{"alpha_index":453,"clock_position":453,"value":666},{"alpha_index":662,"clock_position":662,"value":695},{"alpha_index":871,"clock_position":871,"value":247},{"alpha_index":1080,"clock_position":1080,"value":276}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,245,454,663,872,1081],"clock_positions":[36,245,454,663,872,1081],"native_values":[544,383,125,802,125,383],"rotation_degrees":10.334928229665072,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":544},{"alpha_index":245,"clock_position":245,"value":383},{"alpha_index":454,"clock_position":454,"value":125},{"alpha_index":663,"clock_position":663,"value":802},{"alpha_index":872,"clock_position":872,"value":125},{"alpha_index":1081,"clock_position":1081,"value":383}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,246,455,664,873,1082],"clock_positions":[37,246,455,664,873,1082],"native_values":[791,240,791,659,372,659],"rotation_degrees":10.62200956937799,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":791},{"alpha_index":246,"clock_position":246,"value":240},{"alpha_index":455,"clock_position":455,"value":791},{"alpha_index":664,"clock_position":664,"value":659},{"alpha_index":873,"clock_position":873,"value":372},{"alpha_index":1082,"clock_position":1082,"value":659}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,247,456,665,874,1083],"clock_positions":[38,247,456,665,874,1083],"native_values":[497,623,78,623,497,204],"rotation_degrees":10.909090909090908,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":497},{"alpha_index":247,"clock_position":247,"value":623},{"alpha_index":456,"clock_position":456,"value":78},{"alpha_index":665,"clock_position":665,"value":623},{"alpha_index":874,"clock_position":874,"value":497},{"alpha_index":1083,"clock_position":1083,"value":204}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,248,457,666,875,1084],"clock_positions":[39,248,457,666,875,1084],"native_values":[450,25,31,444,31,25],"rotation_degrees":11.196172248803828,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":450},{"alpha_index":248,"clock_position":248,"value":25},{"alpha_index":457,"clock_position":457,"value":31},{"alpha_index":666,"clock_position":666,"value":444},{"alpha_index":875,"clock_position":875,"value":31},{"alpha_index":1084,"clock_position":1084,"value":25}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,249,458,667,876,1085],"clock_positions":[40,249,458,667,876,1085],"native_values":[109,648,109,229,528,229],"rotation_degrees":11.483253588516746,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":109},{"alpha_index":249,"clock_position":249,"value":648},{"alpha_index":458,"clock_position":458,"value":109},{"alpha_index":667,"clock_position":667,"value":229},{"alpha_index":876,"clock_position":876,"value":528},{"alpha_index":1085,"clock_position":1085,"value":229}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,250,459,668,877,1086],"clock_positions":[41,250,459,668,877,1086],"native_values":[559,673,140,673,559,254],"rotation_degrees":11.770334928229666,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":559},{"alpha_index":250,"clock_position":250,"value":673},{"alpha_index":459,"clock_position":459,"value":140},{"alpha_index":668,"clock_position":668,"value":673},{"alpha_index":877,"clock_position":877,"value":559},{"alpha_index":1086,"clock_position":1086,"value":254}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,251,460,669,878,1087],"clock_positions":[42,251,460,669,878,1087],"native_values":[668,483,249,64,249,483],"rotation_degrees":12.057416267942584,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":668},{"alpha_index":251,"clock_position":251,"value":483},{"alpha_index":460,"clock_position":460,"value":249},{"alpha_index":669,"clock_position":669,"value":64},{"alpha_index":878,"clock_position":878,"value":249},{"alpha_index":1087,"clock_position":1087,"value":483}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,252,461,670,879,1088],"clock_positions":[43,252,461,670,879,1088],"native_values":[389,318,389,737,808,737],"rotation_degrees":12.344497607655502,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":389},{"alpha_index":252,"clock_position":252,"value":318},{"alpha_index":461,"clock_position":461,"value":389},{"alpha_index":670,"clock_position":670,"value":737},{"alpha_index":879,"clock_position":879,"value":808},{"alpha_index":1088,"clock_position":1088,"value":737}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,253,462,671,880,1089],"clock_positions":[44,253,462,671,880,1089],"native_values":[219,801,638,801,219,382],"rotation_degrees":12.631578947368421,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":219},{"alpha_index":253,"clock_position":253,"value":801},{"alpha_index":462,"clock_position":462,"value":638},{"alpha_index":671,"clock_position":671,"value":801},{"alpha_index":880,"clock_position":880,"value":219},{"alpha_index":1089,"clock_position":1089,"value":382}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,254,463,672,881,1090],"clock_positions":[45,254,463,672,881,1090],"native_values":[608,281,189,700,189,281],"rotation_degrees":12.91866028708134,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":608},{"alpha_index":254,"clock_position":254,"value":281},{"alpha_index":463,"clock_position":463,"value":189},{"alpha_index":672,"clock_position":672,"value":700},{"alpha_index":881,"clock_position":881,"value":189},{"alpha_index":1090,"clock_position":1090,"value":281}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,255,464,673,882,1091],"clock_positions":[46,255,464,673,882,1091],"native_values":[827,244,827,663,408,663],"rotation_degrees":13.205741626794259,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":827},{"alpha_index":255,"clock_position":255,"value":244},{"alpha_index":464,"clock_position":464,"value":827},{"alpha_index":673,"clock_position":673,"value":663},{"alpha_index":882,"clock_position":882,"value":408},{"alpha_index":1091,"clock_position":1091,"value":663}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,256,465,674,883,1092],"clock_positions":[47,256,465,674,883,1092],"native_values":[597,525,178,525,597,106],"rotation_degrees":13.492822966507177,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":597},{"alpha_index":256,"clock_position":256,"value":525},{"alpha_index":465,"clock_position":465,"value":178},{"alpha_index":674,"clock_position":674,"value":525},{"alpha_index":883,"clock_position":883,"value":597},{"alpha_index":1092,"clock_position":1092,"value":106}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,257,466,675,884,1093],"clock_positions":[48,257,466,675,884,1093],"native_values":[586,769,167,350,167,769],"rotation_degrees":13.779904306220097,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":586},{"alpha_index":257,"clock_position":257,"value":769},{"alpha_index":466,"clock_position":466,"value":167},{"alpha_index":675,"clock_position":675,"value":350},{"alpha_index":884,"clock_position":884,"value":167},{"alpha_index":1093,"clock_position":1093,"value":769}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,258,467,676,885,1094],"clock_positions":[49,258,467,676,885,1094],"native_values":[345,456,345,37,764,37],"rotation_degrees":14.066985645933014,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":345},{"alpha_index":258,"clock_position":258,"value":456},{"alpha_index":467,"clock_position":467,"value":345},{"alpha_index":676,"clock_position":676,"value":37},{"alpha_index":885,"clock_position":885,"value":764},{"alpha_index":1094,"clock_position":1094,"value":37}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,259,468,677,886,1095],"clock_positions":[50,259,468,677,886,1095],"native_values":[93,387,512,387,93,806],"rotation_degrees":14.354066985645932,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":93},{"alpha_index":259,"clock_position":259,"value":387},{"alpha_index":468,"clock_position":468,"value":512},{"alpha_index":677,"clock_position":677,"value":387},{"alpha_index":886,"clock_position":886,"value":93},{"alpha_index":1095,"clock_position":1095,"value":806}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,260,469,678,887,1096],"clock_positions":[51,260,469,678,887,1096],"native_values":[438,5,19,424,19,5],"rotation_degrees":14.641148325358852,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":438},{"alpha_index":260,"clock_position":260,"value":5},{"alpha_index":469,"clock_position":469,"value":19},{"alpha_index":678,"clock_position":678,"value":424},{"alpha_index":887,"clock_position":887,"value":19},{"alpha_index":1096,"clock_position":1096,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,261,470,679,888,1097],"clock_positions":[52,261,470,679,888,1097],"native_values":[531,392,531,811,112,811],"rotation_degrees":14.92822966507177,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":531},{"alpha_index":261,"clock_position":261,"value":392},{"alpha_index":470,"clock_position":470,"value":531},{"alpha_index":679,"clock_position":679,"value":811},{"alpha_index":888,"clock_position":888,"value":112},{"alpha_index":1097,"clock_position":1097,"value":811}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,262,471,680,889,1098],"clock_positions":[53,262,471,680,889,1098],"native_values":[131,397,550,397,131,816],"rotation_degrees":15.21531100478469,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":131},{"alpha_index":262,"clock_position":262,"value":397},{"alpha_index":471,"clock_position":471,"value":550},{"alpha_index":680,"clock_position":680,"value":397},{"alpha_index":889,"clock_position":889,"value":131},{"alpha_index":1098,"clock_position":1098,"value":816}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,263,472,681,890,1099],"clock_positions":[54,263,472,681,890,1099],"native_values":[662,789,243,370,243,789],"rotation_degrees":15.502392344497608,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":662},{"alpha_index":263,"clock_position":263,"value":789},{"alpha_index":472,"clock_position":472,"value":243},{"alpha_index":681,"clock_position":681,"value":370},{"alpha_index":890,"clock_position":890,"value":243},{"alpha_index":1099,"clock_position":1099,"value":789}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,264,473,682,891,1100],"clock_positions":[55,264,473,682,891,1100],"native_values":[793,348,793,767,374,767],"rotation_degrees":15.789473684210526,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":793},{"alpha_index":264,"clock_position":264,"value":348},{"alpha_index":473,"clock_position":473,"value":793},{"alpha_index":682,"clock_position":682,"value":767},{"alpha_index":891,"clock_position":891,"value":374},{"alpha_index":1100,"clock_position":1100,"value":767}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,265,474,683,892,1101],"clock_positions":[56,265,474,683,892,1101],"native_values":[617,299,198,299,617,718],"rotation_degrees":16.076555023923444,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":617},{"alpha_index":265,"clock_position":265,"value":299},{"alpha_index":474,"clock_position":474,"value":198},{"alpha_index":683,"clock_position":683,"value":299},{"alpha_index":892,"clock_position":892,"value":617},{"alpha_index":1101,"clock_position":1101,"value":718}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,266,475,684,893,1102],"clock_positions":[57,266,475,684,893,1102],"native_values":[572,647,153,228,153,647],"rotation_degrees":16.363636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":572},{"alpha_index":266,"clock_position":266,"value":647},{"alpha_index":475,"clock_position":475,"value":153},{"alpha_index":684,"clock_position":684,"value":228},{"alpha_index":893,"clock_position":893,"value":153},{"alpha_index":1102,"clock_position":1102,"value":647}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,267,476,685,894,1103],"clock_positions":[58,267,476,685,894,1103],"native_values":[351,108,351,527,770,527],"rotation_degrees":16.650717703349283,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":351},{"alpha_index":267,"clock_position":267,"value":108},{"alpha_index":476,"clock_position":476,"value":351},{"alpha_index":685,"clock_position":685,"value":527},{"alpha_index":894,"clock_position":894,"value":770},{"alpha_index":1103,"clock_position":1103,"value":527}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,268,477,686,895,1104],"clock_positions":[59,268,477,686,895,1104],"native_values":[85,755,504,755,85,336],"rotation_degrees":16.9377990430622,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":85},{"alpha_index":268,"clock_position":268,"value":755},{"alpha_index":477,"clock_position":477,"value":504},{"alpha_index":686,"clock_position":686,"value":755},{"alpha_index":895,"clock_position":895,"value":85},{"alpha_index":1104,"clock_position":1104,"value":336}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,269,478,687,896,1105],"clock_positions":[60,269,478,687,896,1105],"native_values":[436,25,17,444,17,25],"rotation_degrees":17.22488038277512,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":436},{"alpha_index":269,"clock_position":269,"value":25},{"alpha_index":478,"clock_position":478,"value":17},{"alpha_index":687,"clock_position":687,"value":444},{"alpha_index":896,"clock_position":896,"value":17},{"alpha_index":1105,"clock_position":1105,"value":25}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,270,479,688,897,1106],"clock_positions":[61,270,479,688,897,1106],"native_values":[521,780,521,361,102,361],"rotation_degrees":17.51196172248804,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":521},{"alpha_index":270,"clock_position":270,"value":780},{"alpha_index":479,"clock_position":479,"value":521},{"alpha_index":688,"clock_position":688,"value":361},{"alpha_index":897,"clock_position":897,"value":102},{"alpha_index":1106,"clock_position":1106,"value":361}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,271,480,689,898,1107],"clock_positions":[62,271,480,689,898,1107],"native_values":[119,805,538,805,119,386],"rotation_degrees":17.79904306220096,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":119},{"alpha_index":271,"clock_position":271,"value":805},{"alpha_index":480,"clock_position":480,"value":538},{"alpha_index":689,"clock_position":689,"value":805},{"alpha_index":898,"clock_position":898,"value":119},{"alpha_index":1107,"clock_position":1107,"value":386}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,272,481,690,899,1108],"clock_positions":[63,272,481,690,899,1108],"native_values":[640,747,221,328,221,747],"rotation_degrees":18.086124401913874,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":640},{"alpha_index":272,"clock_position":272,"value":747},{"alpha_index":481,"clock_position":481,"value":221},{"alpha_index":690,"clock_position":690,"value":328},{"alpha_index":899,"clock_position":899,"value":221},{"alpha_index":1108,"clock_position":1108,"value":747}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,273,482,691,900,1109],"clock_positions":[64,273,482,691,900,1109],"native_values":[759,714,759,295,340,295],"rotation_degrees":18.373205741626794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":759},{"alpha_index":273,"clock_position":273,"value":714},{"alpha_index":482,"clock_position":482,"value":759},{"alpha_index":691,"clock_position":691,"value":295},{"alpha_index":900,"clock_position":900,"value":340},{"alpha_index":1109,"clock_position":1109,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,274,483,692,901,1110],"clock_positions":[65,274,483,692,901,1110],"native_values":[561,623,142,623,561,204],"rotation_degrees":18.660287081339714,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":561},{"alpha_index":274,"clock_position":274,"value":623},{"alpha_index":483,"clock_position":483,"value":142},{"alpha_index":692,"clock_position":692,"value":623},{"alpha_index":901,"clock_position":901,"value":561},{"alpha_index":1110,"clock_position":1110,"value":204}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,275,484,693,902,1111],"clock_positions":[66,275,484,693,902,1111],"native_values":[482,499,63,80,63,499],"rotation_degrees":18.94736842105263,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":482},{"alpha_index":275,"clock_position":275,"value":499},{"alpha_index":484,"clock_position":484,"value":63},{"alpha_index":693,"clock_position":693,"value":80},{"alpha_index":902,"clock_position":902,"value":63},{"alpha_index":1111,"clock_position":1111,"value":499}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,276,485,694,903,1112],"clock_positions":[67,276,485,694,903,1112],"native_values":[205,284,205,703,624,703],"rotation_degrees":19.23444976076555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":205},{"alpha_index":276,"clock_position":276,"value":284},{"alpha_index":485,"clock_position":485,"value":205},{"alpha_index":694,"clock_position":694,"value":703},{"alpha_index":903,"clock_position":903,"value":624},{"alpha_index":1112,"clock_position":1112,"value":703}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,277,486,695,904,1113],"clock_positions":[68,277,486,695,904,1113],"native_values":[687,783,268,783,687,364],"rotation_degrees":19.52153110047847,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":687},{"alpha_index":277,"clock_position":277,"value":783},{"alpha_index":486,"clock_position":486,"value":268},{"alpha_index":695,"clock_position":695,"value":783},{"alpha_index":904,"clock_position":904,"value":687},{"alpha_index":1113,"clock_position":1113,"value":364}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,278,487,696,905,1114],"clock_positions":[69,278,487,696,905,1114],"native_values":[54,229,473,648,473,229],"rotation_degrees":19.80861244019139,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":54},{"alpha_index":278,"clock_position":278,"value":229},{"alpha_index":487,"clock_position":487,"value":473},{"alpha_index":696,"clock_position":696,"value":648},{"alpha_index":905,"clock_position":905,"value":473},{"alpha_index":1114,"clock_position":1114,"value":229}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,279,488,697,906,1115],"clock_positions":[70,279,488,697,906,1115],"native_values":[741,174,741,593,322,593],"rotation_degrees":20.095693779904305,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":741},{"alpha_index":279,"clock_position":279,"value":174},{"alpha_index":488,"clock_position":488,"value":741},{"alpha_index":697,"clock_position":697,"value":593},{"alpha_index":906,"clock_position":906,"value":322},{"alpha_index":1115,"clock_position":1115,"value":593}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,280,489,698,907,1116],"clock_positions":[71,280,489,698,907,1116],"native_values":[795,403,376,403,795,822],"rotation_degrees":20.382775119617225,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":795},{"alpha_index":280,"clock_position":280,"value":403},{"alpha_index":489,"clock_position":489,"value":376},{"alpha_index":698,"clock_position":698,"value":403},{"alpha_index":907,"clock_position":907,"value":795},{"alpha_index":1116,"clock_position":1116,"value":822}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,281,490,699,908,1117],"clock_positions":[72,281,490,699,908,1117],"native_values":[698,577,279,158,279,577],"rotation_degrees":20.669856459330145,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":698},{"alpha_index":281,"clock_position":281,"value":577},{"alpha_index":490,"clock_position":490,"value":279},{"alpha_index":699,"clock_position":699,"value":158},{"alpha_index":908,"clock_position":908,"value":279},{"alpha_index":1117,"clock_position":1117,"value":577}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,282,491,700,909,1118],"clock_positions":[73,282,491,700,909,1118],"native_values":[655,142,655,561,236,561],"rotation_degrees":20.95693779904306,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":655},{"alpha_index":282,"clock_position":282,"value":142},{"alpha_index":491,"clock_position":491,"value":655},{"alpha_index":700,"clock_position":700,"value":561},{"alpha_index":909,"clock_position":909,"value":236},{"alpha_index":1118,"clock_position":1118,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,283,492,701,910,1119],"clock_positions":[74,283,492,701,910,1119],"native_values":[515,719,96,719,515,300],"rotation_degrees":21.24401913875598,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":515},{"alpha_index":283,"clock_position":283,"value":719},{"alpha_index":492,"clock_position":492,"value":96},{"alpha_index":701,"clock_position":701,"value":719},{"alpha_index":910,"clock_position":910,"value":515},{"alpha_index":1119,"clock_position":1119,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,284,493,702,911,1120],"clock_positions":[75,284,493,702,911,1120],"native_values":[332,23,751,442,751,23],"rotation_degrees":21.5311004784689,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":332},{"alpha_index":284,"clock_position":284,"value":23},{"alpha_index":493,"clock_position":493,"value":751},{"alpha_index":702,"clock_position":702,"value":442},{"alpha_index":911,"clock_position":911,"value":751},{"alpha_index":1120,"clock_position":1120,"value":23}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,285,494,703,912,1121],"clock_positions":[76,285,494,703,912,1121],"native_values":[9,742,9,323,428,323],"rotation_degrees":21.818181818181817,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":285,"clock_position":285,"value":742},{"alpha_index":703,"clock_position":703,"value":323},{"alpha_index":912,"clock_position":912,"value":428},{"alpha_index":1121,"clock_position":1121,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,286,495,704,913,1122],"clock_positions":[77,286,495,704,913,1122],"native_values":[341,765,760,765,341,346],"rotation_degrees":22.105263157894736,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":341},{"alpha_index":286,"clock_position":286,"value":765},{"alpha_index":495,"clock_position":495,"value":760},{"alpha_index":704,"clock_position":704,"value":765},{"alpha_index":913,"clock_position":913,"value":341},{"alpha_index":1122,"clock_position":1122,"value":346}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,287,496,705,914,1123],"clock_positions":[78,287,496,705,914,1123],"native_values":[350,669,769,250,769,669],"rotation_degrees":22.392344497607656,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":350},{"alpha_index":287,"clock_position":287,"value":669},{"alpha_index":496,"clock_position":496,"value":769},{"alpha_index":705,"clock_position":705,"value":250},{"alpha_index":914,"clock_position":914,"value":769},{"alpha_index":1123,"clock_position":1123,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,288,497,706,915,1124],"clock_positions":[79,288,497,706,915,1124],"native_values":[691,596,691,177,272,177],"rotation_degrees":22.679425837320576,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":691},{"alpha_index":288,"clock_position":288,"value":596},{"alpha_index":497,"clock_position":497,"value":691},{"alpha_index":706,"clock_position":706,"value":177},{"alpha_index":915,"clock_position":915,"value":272},{"alpha_index":1124,"clock_position":1124,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,289,498,707,916,1125],"clock_positions":[80,289,498,707,916,1125],"native_values":[203,427,622,427,203,8],"rotation_degrees":22.966507177033492,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":203},{"alpha_index":289,"clock_position":289,"value":427},{"alpha_index":498,"clock_position":498,"value":622},{"alpha_index":707,"clock_position":707,"value":427},{"alpha_index":916,"clock_position":916,"value":203},{"alpha_index":1125,"clock_position":1125,"value":8}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,290,499,708,917,1126],"clock_positions":[81,290,499,708,917,1126],"native_values":[56,185,475,604,475,185],"rotation_degrees":23.25358851674641,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":56},{"alpha_index":290,"clock_position":290,"value":185},{"alpha_index":499,"clock_position":499,"value":475},{"alpha_index":708,"clock_position":708,"value":604},{"alpha_index":917,"clock_position":917,"value":475},{"alpha_index":1126,"clock_position":1126,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,291,500,709,918,1127],"clock_positions":[82,291,500,709,918,1127],"native_values":[259,612,259,193,678,193],"rotation_degrees":23.54066985645933,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":259},{"alpha_index":291,"clock_position":291,"value":612},{"alpha_index":500,"clock_position":500,"value":259},{"alpha_index":709,"clock_position":709,"value":193},{"alpha_index":918,"clock_position":918,"value":678},{"alpha_index":1127,"clock_position":1127,"value":193}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,292,501,710,919,1128],"clock_positions":[83,292,501,710,919,1128],"native_values":[315,797,734,797,315,378],"rotation_degrees":23.827751196172247,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":315},{"alpha_index":292,"clock_position":292,"value":797},{"alpha_index":501,"clock_position":501,"value":734},{"alpha_index":710,"clock_position":710,"value":797},{"alpha_index":919,"clock_position":919,"value":315},{"alpha_index":1128,"clock_position":1128,"value":378}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,293,502,711,920,1129],"clock_positions":[84,293,502,711,920,1129],"native_values":[574,571,155,152,155,571],"rotation_degrees":24.114832535885167,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":574},{"alpha_index":293,"clock_position":293,"value":571},{"alpha_index":502,"clock_position":502,"value":155},{"alpha_index":711,"clock_position":711,"value":152},{"alpha_index":920,"clock_position":920,"value":155},{"alpha_index":1129,"clock_position":1129,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,294,503,712,921,1130],"clock_positions":[85,294,503,712,921,1130],"native_values":[51,530,51,111,470,111],"rotation_degrees":24.401913875598087,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":51},{"alpha_index":294,"clock_position":294,"value":530},{"alpha_index":503,"clock_position":503,"value":51},{"alpha_index":712,"clock_position":712,"value":111},{"alpha_index":921,"clock_position":921,"value":470},{"alpha_index":1130,"clock_position":1130,"value":111}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,295,504,713,922,1131],"clock_positions":[86,295,504,713,922,1131],"native_values":[625,263,206,263,625,682],"rotation_degrees":24.688995215311003,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":625},{"alpha_index":295,"clock_position":295,"value":263},{"alpha_index":504,"clock_position":504,"value":206},{"alpha_index":713,"clock_position":713,"value":263},{"alpha_index":922,"clock_position":922,"value":625},{"alpha_index":1131,"clock_position":1131,"value":682}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,296,505,714,923,1132],"clock_positions":[87,296,505,714,923,1132],"native_values":[676,793,257,374,257,793],"rotation_degrees":24.976076555023923,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":676},{"alpha_index":296,"clock_position":296,"value":793},{"alpha_index":505,"clock_position":505,"value":257},{"alpha_index":714,"clock_position":714,"value":374},{"alpha_index":923,"clock_position":923,"value":257},{"alpha_index":1132,"clock_position":1132,"value":793}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,297,506,715,924,1133],"clock_positions":[88,297,506,715,924,1133],"native_values":[463,218,463,637,44,637],"rotation_degrees":25.263157894736842,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":463},{"alpha_index":297,"clock_position":297,"value":218},{"alpha_index":506,"clock_position":506,"value":463},{"alpha_index":715,"clock_position":715,"value":637},{"alpha_index":924,"clock_position":924,"value":44},{"alpha_index":1133,"clock_position":1133,"value":637}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,298,507,716,925,1134],"clock_positions":[89,298,507,716,925,1134],"native_values":[301,173,720,173,301,592],"rotation_degrees":25.550239234449762,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":301},{"alpha_index":298,"clock_position":298,"value":173},{"alpha_index":507,"clock_position":507,"value":720},{"alpha_index":716,"clock_position":716,"value":173},{"alpha_index":925,"clock_position":925,"value":301},{"alpha_index":1134,"clock_position":1134,"value":592}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,299,508,717,926,1135],"clock_positions":[90,299,508,717,926,1135],"native_values":[764,391,345,810,345,391],"rotation_degrees":25.83732057416268,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":764},{"alpha_index":299,"clock_position":299,"value":391},{"alpha_index":508,"clock_position":508,"value":345},{"alpha_index":717,"clock_position":717,"value":810},{"alpha_index":926,"clock_position":926,"value":345},{"alpha_index":1135,"clock_position":1135,"value":391}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,300,509,718,927,1136],"clock_positions":[91,300,509,718,927,1136],"native_values":[227,564,227,145,646,145],"rotation_degrees":26.124401913875598,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":227},{"alpha_index":300,"clock_position":300,"value":564},{"alpha_index":509,"clock_position":509,"value":227},{"alpha_index":718,"clock_position":718,"value":145},{"alpha_index":927,"clock_position":927,"value":646},{"alpha_index":1136,"clock_position":1136,"value":145}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,301,510,719,928,1137],"clock_positions":[92,301,510,719,928,1137],"native_values":[153,117,572,117,153,536],"rotation_degrees":26.411483253588518,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":153},{"alpha_index":301,"clock_position":301,"value":117},{"alpha_index":510,"clock_position":510,"value":572},{"alpha_index":719,"clock_position":719,"value":117},{"alpha_index":928,"clock_position":928,"value":153},{"alpha_index":1137,"clock_position":1137,"value":536}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,302,511,720,929,1138],"clock_positions":[93,302,511,720,929,1138],"native_values":[380,681,799,262,799,681],"rotation_degrees":26.698564593301434,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":380},{"alpha_index":302,"clock_position":302,"value":681},{"alpha_index":511,"clock_position":511,"value":799},{"alpha_index":720,"clock_position":720,"value":262},{"alpha_index":929,"clock_position":929,"value":799},{"alpha_index":1138,"clock_position":1138,"value":681}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,303,512,721,930,1139],"clock_positions":[94,303,512,721,930,1139],"native_values":[533,798,533,379,114,379],"rotation_degrees":26.985645933014354,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":533},{"alpha_index":303,"clock_position":303,"value":798},{"alpha_index":512,"clock_position":512,"value":533},{"alpha_index":721,"clock_position":721,"value":379},{"alpha_index":930,"clock_position":930,"value":114},{"alpha_index":1139,"clock_position":1139,"value":379}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,304,513,722,931,1140],"clock_positions":[95,304,513,722,931,1140],"native_values":[75,641,494,641,75,222],"rotation_degrees":27.272727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":75},{"alpha_index":304,"clock_position":304,"value":641},{"alpha_index":513,"clock_position":513,"value":494},{"alpha_index":722,"clock_position":722,"value":641},{"alpha_index":931,"clock_position":931,"value":75},{"alpha_index":1140,"clock_position":1140,"value":222}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,305,514,723,932,1141],"clock_positions":[96,305,514,723,932,1141],"native_values":[608,601,189,182,189,601],"rotation_degrees":27.559808612440193,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":608},{"alpha_index":305,"clock_position":305,"value":601},{"alpha_index":514,"clock_position":514,"value":189},{"alpha_index":723,"clock_position":723,"value":182},{"alpha_index":932,"clock_position":932,"value":189},{"alpha_index":1141,"clock_position":1141,"value":601}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,306,515,724,933,1142],"clock_positions":[97,306,515,724,933,1142],"native_values":[683,404,683,823,264,823],"rotation_degrees":27.84688995215311,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":683},{"alpha_index":306,"clock_position":306,"value":404},{"alpha_index":515,"clock_position":515,"value":683},{"alpha_index":724,"clock_position":724,"value":823},{"alpha_index":933,"clock_position":933,"value":264},{"alpha_index":1142,"clock_position":1142,"value":823}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,307,516,725,934,1143],"clock_positions":[98,307,516,725,934,1143],"native_values":[453,167,34,167,453,586],"rotation_degrees":28.13397129186603,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":453},{"alpha_index":307,"clock_position":307,"value":167},{"alpha_index":516,"clock_position":516,"value":34},{"alpha_index":725,"clock_position":725,"value":167},{"alpha_index":934,"clock_position":934,"value":453},{"alpha_index":1143,"clock_position":1143,"value":586}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,308,517,726,935,1144],"clock_positions":[99,308,517,726,935,1144],"native_values":[298,571,717,152,717,571],"rotation_degrees":28.42105263157895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":298},{"alpha_index":308,"clock_position":308,"value":571},{"alpha_index":517,"clock_position":517,"value":717},{"alpha_index":726,"clock_position":726,"value":152},{"alpha_index":935,"clock_position":935,"value":717},{"alpha_index":1144,"clock_position":1144,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,309,518,727,936,1145],"clock_positions":[100,309,518,727,936,1145],"native_values":[751,738,751,319,332,319],"rotation_degrees":28.708133971291865,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":751},{"alpha_index":309,"clock_position":309,"value":738},{"alpha_index":518,"clock_position":518,"value":751},{"alpha_index":727,"clock_position":727,"value":319},{"alpha_index":936,"clock_position":936,"value":332},{"alpha_index":1145,"clock_position":1145,"value":319}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,310,519,728,937,1146],"clock_positions":[101,310,519,728,937,1146],"native_values":[211,471,630,471,211,52],"rotation_degrees":28.995215311004785,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":211},{"alpha_index":310,"clock_position":310,"value":471},{"alpha_index":519,"clock_position":519,"value":630},{"alpha_index":728,"clock_position":728,"value":471},{"alpha_index":937,"clock_position":937,"value":211},{"alpha_index":1146,"clock_position":1146,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,311,520,729,938,1147],"clock_positions":[102,311,520,729,938,1147],"native_values":[124,371,543,790,543,371],"rotation_degrees":29.282296650717704,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":124},{"alpha_index":311,"clock_position":311,"value":371},{"alpha_index":520,"clock_position":520,"value":543},{"alpha_index":729,"clock_position":729,"value":790},{"alpha_index":938,"clock_position":938,"value":543},{"alpha_index":1147,"clock_position":1147,"value":371}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,312,521,730,939,1148],"clock_positions":[103,312,521,730,939,1148],"native_values":[335,4,335,423,754,423],"rotation_degrees":29.56937799043062,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":335},{"alpha_index":312,"clock_position":312,"value":4},{"alpha_index":521,"clock_position":521,"value":335},{"alpha_index":730,"clock_position":730,"value":423},{"alpha_index":939,"clock_position":939,"value":754},{"alpha_index":1148,"clock_position":1148,"value":423}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,313,522,731,940,1149],"clock_positions":[104,313,522,731,940,1149],"native_values":[459,375,40,375,459,794],"rotation_degrees":29.85645933014354,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":459},{"alpha_index":313,"clock_position":313,"value":375},{"alpha_index":522,"clock_position":522,"value":40},{"alpha_index":731,"clock_position":731,"value":375},{"alpha_index":940,"clock_position":940,"value":459},{"alpha_index":1149,"clock_position":1149,"value":794}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,314,523,732,941,1150],"clock_positions":[105,314,523,732,941,1150],"native_values":[794,379,375,798,375,379],"rotation_degrees":30.14354066985646,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":794},{"alpha_index":314,"clock_position":314,"value":379},{"alpha_index":523,"clock_position":523,"value":375},{"alpha_index":732,"clock_position":732,"value":798},{"alpha_index":941,"clock_position":941,"value":375},{"alpha_index":1150,"clock_position":1150,"value":379}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,315,524,733,942,1151],"clock_positions":[106,315,524,733,942,1151],"native_values":[415,754,415,335,834,335],"rotation_degrees":30.43062200956938,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":415},{"alpha_index":315,"clock_position":315,"value":754},{"alpha_index":524,"clock_position":524,"value":415},{"alpha_index":733,"clock_position":733,"value":335},{"alpha_index":942,"clock_position":942,"value":834},{"alpha_index":1151,"clock_position":1151,"value":335}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,316,525,734,943,1152],"clock_positions":[107,316,525,734,943,1152],"native_values":[371,295,790,295,371,714],"rotation_degrees":30.717703349282296,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":371},{"alpha_index":316,"clock_position":316,"value":295},{"alpha_index":525,"clock_position":525,"value":790},{"alpha_index":734,"clock_position":734,"value":295},{"alpha_index":943,"clock_position":943,"value":371},{"alpha_index":1152,"clock_position":1152,"value":714}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,317,526,735,944,1153],"clock_positions":[108,317,526,735,944,1153],"native_values":[786,211,367,630,367,211],"rotation_degrees":31.004784688995215,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":786},{"alpha_index":317,"clock_position":317,"value":211},{"alpha_index":526,"clock_position":526,"value":367},{"alpha_index":735,"clock_position":735,"value":630},{"alpha_index":944,"clock_position":944,"value":367},{"alpha_index":1153,"clock_position":1153,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,318,527,736,945,1154],"clock_positions":[109,318,527,736,945,1154],"native_values":[319,506,319,87,738,87],"rotation_degrees":31.291866028708135,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":319},{"alpha_index":318,"clock_position":318,"value":506},{"alpha_index":527,"clock_position":527,"value":319},{"alpha_index":736,"clock_position":736,"value":87},{"alpha_index":945,"clock_position":945,"value":738},{"alpha_index":1154,"clock_position":1154,"value":87}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,319,528,737,946,1155],"clock_positions":[110,319,528,737,946,1155],"native_values":[267,717,686,717,267,298],"rotation_degrees":31.57894736842105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":267},{"alpha_index":319,"clock_position":319,"value":717},{"alpha_index":528,"clock_position":528,"value":686},{"alpha_index":737,"clock_position":737,"value":717},{"alpha_index":946,"clock_position":946,"value":267},{"alpha_index":1155,"clock_position":1155,"value":298}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,320,529,738,947,1156],"clock_positions":[111,320,529,738,947,1156],"native_values":[586,385,167,804,167,385],"rotation_degrees":31.86602870813397,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":586},{"alpha_index":320,"clock_position":320,"value":385},{"alpha_index":529,"clock_position":529,"value":167},{"alpha_index":738,"clock_position":738,"value":804},{"alpha_index":947,"clock_position":947,"value":167},{"alpha_index":1156,"clock_position":1156,"value":385}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,321,530,739,948,1157],"clock_positions":[112,321,530,739,948,1157],"native_values":[15,264,15,683,434,683],"rotation_degrees":32.15311004784689,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":15},{"alpha_index":321,"clock_position":321,"value":264},{"alpha_index":530,"clock_position":530,"value":15},{"alpha_index":739,"clock_position":739,"value":683},{"alpha_index":948,"clock_position":948,"value":434},{"alpha_index":1157,"clock_position":1157,"value":683}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,322,531,740,949,1158],"clock_positions":[113,322,531,740,949,1158],"native_values":[601,649,182,649,601,230],"rotation_degrees":32.44019138755981,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":601},{"alpha_index":322,"clock_position":322,"value":649},{"alpha_index":531,"clock_position":531,"value":182},{"alpha_index":740,"clock_position":740,"value":649},{"alpha_index":949,"clock_position":949,"value":601},{"alpha_index":1158,"clock_position":1158,"value":230}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,323,532,741,950,1159],"clock_positions":[114,323,532,741,950,1159],"native_values":[616,75,197,494,197,75],"rotation_degrees":32.72727272727273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":616},{"alpha_index":323,"clock_position":323,"value":75},{"alpha_index":532,"clock_position":532,"value":197},{"alpha_index":741,"clock_position":741,"value":494},{"alpha_index":950,"clock_position":950,"value":197},{"alpha_index":1159,"clock_position":1159,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,324,533,742,951,1160],"clock_positions":[115,324,533,742,951,1160],"native_values":[379,724,379,305,798,305],"rotation_degrees":33.014354066985646,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":379},{"alpha_index":324,"clock_position":324,"value":724},{"alpha_index":533,"clock_position":533,"value":379},{"alpha_index":742,"clock_position":742,"value":305},{"alpha_index":951,"clock_position":951,"value":798},{"alpha_index":1160,"clock_position":1160,"value":305}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,325,534,743,952,1161],"clock_positions":[116,325,534,743,952,1161],"native_values":[157,799,576,799,157,380],"rotation_degrees":33.301435406698566,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":157},{"alpha_index":325,"clock_position":325,"value":799},{"alpha_index":534,"clock_position":534,"value":576},{"alpha_index":743,"clock_position":743,"value":799},{"alpha_index":952,"clock_position":952,"value":157},{"alpha_index":1161,"clock_position":1161,"value":380}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,326,535,744,953,1162],"clock_positions":[117,326,535,744,953,1162],"native_values":[536,685,117,266,117,685],"rotation_degrees":33.588516746411486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":536},{"alpha_index":326,"clock_position":326,"value":685},{"alpha_index":535,"clock_position":535,"value":117},{"alpha_index":744,"clock_position":744,"value":266},{"alpha_index":953,"clock_position":953,"value":117},{"alpha_index":1162,"clock_position":1162,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,327,536,745,954,1163],"clock_positions":[118,327,536,745,954,1163],"native_values":[693,646,693,227,274,227],"rotation_degrees":33.8755980861244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":693},{"alpha_index":327,"clock_position":327,"value":646},{"alpha_index":536,"clock_position":536,"value":693},{"alpha_index":745,"clock_position":745,"value":227},{"alpha_index":954,"clock_position":954,"value":274},{"alpha_index":1163,"clock_position":1163,"value":227}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,328,537,746,955,1164],"clock_positions":[119,328,537,746,955,1164],"native_values":[391,493,810,493,391,74],"rotation_degrees":34.16267942583732,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":391},{"alpha_index":328,"clock_position":328,"value":493},{"alpha_index":537,"clock_position":537,"value":810},{"alpha_index":746,"clock_position":746,"value":493},{"alpha_index":955,"clock_position":955,"value":391},{"alpha_index":1164,"clock_position":1164,"value":74}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,329,538,747,956,1165],"clock_positions":[120,329,538,747,956,1165],"native_values":[246,301,665,720,665,301],"rotation_degrees":34.44976076555024,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":246},{"alpha_index":329,"clock_position":329,"value":301},{"alpha_index":538,"clock_position":538,"value":665},{"alpha_index":747,"clock_position":747,"value":720},{"alpha_index":956,"clock_position":956,"value":665},{"alpha_index":1165,"clock_position":1165,"value":301}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,330,539,748,957,1166],"clock_positions":[121,330,539,748,957,1166],"native_values":[637,794,637,375,218,375],"rotation_degrees":34.73684210526316,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":637},{"alpha_index":330,"clock_position":330,"value":794},{"alpha_index":539,"clock_position":539,"value":637},{"alpha_index":748,"clock_position":748,"value":375},{"alpha_index":957,"clock_position":957,"value":218},{"alpha_index":1166,"clock_position":1166,"value":375}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,331,540,749,958,1167],"clock_positions":[122,331,540,749,958,1167],"native_values":[45,257,464,257,45,676],"rotation_degrees":35.02392344497608,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":45},{"alpha_index":331,"clock_position":331,"value":257},{"alpha_index":540,"clock_position":540,"value":464},{"alpha_index":749,"clock_position":749,"value":257},{"alpha_index":958,"clock_position":958,"value":45},{"alpha_index":1167,"clock_position":1167,"value":676}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,332,541,750,959,1168],"clock_positions":[123,332,541,750,959,1168],"native_values":[682,213,263,632,263,213],"rotation_degrees":35.311004784689,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":682},{"alpha_index":332,"clock_position":332,"value":213},{"alpha_index":541,"clock_position":541,"value":263},{"alpha_index":750,"clock_position":750,"value":632},{"alpha_index":959,"clock_position":959,"value":263},{"alpha_index":1168,"clock_position":1168,"value":213}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,333,542,751,960,1169],"clock_positions":[124,333,542,751,960,1169],"native_values":[727,470,727,51,308,51],"rotation_degrees":35.59808612440192,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":727},{"alpha_index":333,"clock_position":333,"value":470},{"alpha_index":542,"clock_position":542,"value":727},{"alpha_index":751,"clock_position":751,"value":51},{"alpha_index":960,"clock_position":960,"value":308},{"alpha_index":1169,"clock_position":1169,"value":51}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,334,543,752,961,1170],"clock_positions":[125,334,543,752,961,1170],"native_values":[571,683,152,683,571,264],"rotation_degrees":35.88516746411483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":571},{"alpha_index":334,"clock_position":334,"value":683},{"alpha_index":543,"clock_position":543,"value":152},{"alpha_index":752,"clock_position":752,"value":683},{"alpha_index":961,"clock_position":961,"value":571},{"alpha_index":1170,"clock_position":1170,"value":264}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,335,544,753,962,1171],"clock_positions":[126,335,544,753,962,1171],"native_values":[460,315,41,734,41,315],"rotation_degrees":36.17224880382775,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":460},{"alpha_index":335,"clock_position":335,"value":315},{"alpha_index":544,"clock_position":544,"value":41},{"alpha_index":753,"clock_position":753,"value":734},{"alpha_index":962,"clock_position":962,"value":41},{"alpha_index":1171,"clock_position":1171,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,336,545,754,963,1172],"clock_positions":[127,336,545,754,963,1172],"native_values":[193,160,193,579,612,579],"rotation_degrees":36.45933014354067,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":193},{"alpha_index":336,"clock_position":336,"value":160},{"alpha_index":545,"clock_position":545,"value":193},{"alpha_index":754,"clock_position":754,"value":579},{"alpha_index":963,"clock_position":963,"value":612},{"alpha_index":1172,"clock_position":1172,"value":579}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,337,546,755,964,1173],"clock_positions":[128,337,546,755,964,1173],"native_values":[653,475,234,475,653,56],"rotation_degrees":36.74641148325359,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":653},{"alpha_index":337,"clock_position":337,"value":475},{"alpha_index":546,"clock_position":546,"value":234},{"alpha_index":755,"clock_position":755,"value":475},{"alpha_index":964,"clock_position":964,"value":653},{"alpha_index":1173,"clock_position":1173,"value":56}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,338,547,756,965,1174],"clock_positions":[129,338,547,756,965,1174],"native_values":[8,635,427,216,427,635],"rotation_degrees":37.03349282296651,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":8},{"alpha_index":338,"clock_position":338,"value":635},{"alpha_index":547,"clock_position":547,"value":427},{"alpha_index":756,"clock_position":756,"value":216},{"alpha_index":965,"clock_position":965,"value":427},{"alpha_index":1174,"clock_position":1174,"value":635}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,339,548,757,966,1175],"clock_positions":[130,339,548,757,966,1175],"native_values":[661,272,661,691,242,691],"rotation_degrees":37.32057416267943,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":661},{"alpha_index":339,"clock_position":339,"value":272},{"alpha_index":548,"clock_position":548,"value":661},{"alpha_index":757,"clock_position":757,"value":691},{"alpha_index":966,"clock_position":966,"value":242},{"alpha_index":1175,"clock_position":1175,"value":691}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,340,549,758,967,1176],"clock_positions":[131,340,549,758,967,1176],"native_values":[669,69,250,69,669,488],"rotation_degrees":37.60765550239235,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":669},{"alpha_index":340,"clock_position":340,"value":69},{"alpha_index":549,"clock_position":549,"value":250},{"alpha_index":758,"clock_position":758,"value":69},{"alpha_index":967,"clock_position":967,"value":669},{"alpha_index":1176,"clock_position":1176,"value":488}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,341,550,759,968,1177],"clock_positions":[132,341,550,759,968,1177],"native_values":[492,341,73,760,73,341],"rotation_degrees":37.89473684210526,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":492},{"alpha_index":341,"clock_position":341,"value":341},{"alpha_index":550,"clock_position":550,"value":73},{"alpha_index":759,"clock_position":759,"value":760},{"alpha_index":968,"clock_position":968,"value":73},{"alpha_index":1177,"clock_position":1177,"value":341}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,342,551,760,969,1178],"clock_positions":[133,342,551,760,969,1178],"native_values":[323,410,323,829,742,829],"rotation_degrees":38.18181818181818,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":323},{"alpha_index":342,"clock_position":342,"value":410},{"alpha_index":551,"clock_position":551,"value":323},{"alpha_index":760,"clock_position":760,"value":829},{"alpha_index":969,"clock_position":969,"value":742},{"alpha_index":1178,"clock_position":1178,"value":829}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,343,552,761,970,1179],"clock_positions":[134,343,552,761,970,1179],"native_values":[815,751,396,751,815,332],"rotation_degrees":38.4688995215311,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":815},{"alpha_index":343,"clock_position":343,"value":751},{"alpha_index":552,"clock_position":552,"value":396},{"alpha_index":761,"clock_position":761,"value":751},{"alpha_index":970,"clock_position":970,"value":815},{"alpha_index":1179,"clock_position":1179,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,344,553,762,971,1180],"clock_positions":[135,344,553,762,971,1180],"native_values":[300,323,719,742,719,323],"rotation_degrees":38.75598086124402,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":300},{"alpha_index":344,"clock_position":344,"value":323},{"alpha_index":553,"clock_position":553,"value":719},{"alpha_index":762,"clock_position":762,"value":742},{"alpha_index":971,"clock_position":971,"value":719},{"alpha_index":1180,"clock_position":1180,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,345,554,763,972,1181],"clock_positions":[136,345,554,763,972,1181],"native_values":[277,236,277,655,696,655],"rotation_degrees":39.04306220095694,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":277},{"alpha_index":345,"clock_position":345,"value":236},{"alpha_index":554,"clock_position":554,"value":277},{"alpha_index":763,"clock_position":763,"value":655},{"alpha_index":972,"clock_position":972,"value":696},{"alpha_index":1181,"clock_position":1181,"value":655}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,346,555,764,973,1182],"clock_positions":[137,346,555,764,973,1182],"native_values":[577,559,158,559,577,140],"rotation_degrees":39.33014354066986,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":577},{"alpha_index":346,"clock_position":346,"value":559},{"alpha_index":555,"clock_position":555,"value":158},{"alpha_index":764,"clock_position":764,"value":559},{"alpha_index":973,"clock_position":973,"value":577},{"alpha_index":1182,"clock_position":1182,"value":140}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,347,556,765,974,1183],"clock_positions":[138,347,556,765,974,1183],"native_values":[16,795,435,376,435,795],"rotation_degrees":39.61722488038278,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":16},{"alpha_index":347,"clock_position":347,"value":795},{"alpha_index":556,"clock_position":556,"value":435},{"alpha_index":765,"clock_position":765,"value":376},{"alpha_index":974,"clock_position":974,"value":435},{"alpha_index":1183,"clock_position":1183,"value":795}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,348,557,766,975,1184],"clock_positions":[139,348,557,766,975,1184],"native_values":[593,516,593,97,174,97],"rotation_degrees":39.90430622009569,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":593},{"alpha_index":348,"clock_position":348,"value":516},{"alpha_index":557,"clock_position":557,"value":593},{"alpha_index":766,"clock_position":766,"value":97},{"alpha_index":975,"clock_position":975,"value":174},{"alpha_index":1184,"clock_position":1184,"value":97}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,349,558,767,976,1185],"clock_positions":[140,349,558,767,976,1185],"native_values":[609,473,190,473,609,54],"rotation_degrees":40.19138755980861,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":609},{"alpha_index":349,"clock_position":349,"value":473},{"alpha_index":558,"clock_position":558,"value":190},{"alpha_index":767,"clock_position":767,"value":473},{"alpha_index":976,"clock_position":976,"value":609},{"alpha_index":1185,"clock_position":1185,"value":54}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,350,559,768,977,1186],"clock_positions":[141,350,559,768,977,1186],"native_values":[364,151,783,570,783,151],"rotation_degrees":40.47846889952153,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":364},{"alpha_index":350,"clock_position":350,"value":151},{"alpha_index":559,"clock_position":559,"value":783},{"alpha_index":768,"clock_position":768,"value":570},{"alpha_index":977,"clock_position":977,"value":783},{"alpha_index":1186,"clock_position":1186,"value":151}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,351,560,769,978,1187],"clock_positions":[142,351,560,769,978,1187],"native_values":[135,624,135,205,554,205],"rotation_degrees":40.76555023923445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":135},{"alpha_index":351,"clock_position":351,"value":624},{"alpha_index":560,"clock_position":560,"value":135},{"alpha_index":769,"clock_position":769,"value":205},{"alpha_index":978,"clock_position":978,"value":554},{"alpha_index":1187,"clock_position":1187,"value":205}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,352,561,770,979,1188],"clock_positions":[143,352,561,770,979,1188],"native_values":[499,775,80,775,499,356],"rotation_degrees":41.05263157894737,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":499},{"alpha_index":352,"clock_position":352,"value":775},{"alpha_index":561,"clock_position":561,"value":80},{"alpha_index":770,"clock_position":770,"value":775},{"alpha_index":979,"clock_position":979,"value":499},{"alpha_index":1188,"clock_position":1188,"value":356}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,353,562,771,980,1189],"clock_positions":[144,353,562,771,980,1189],"native_values":[634,561,215,142,215,561],"rotation_degrees":41.33971291866029,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":634},{"alpha_index":353,"clock_position":353,"value":561},{"alpha_index":562,"clock_position":562,"value":215},{"alpha_index":771,"clock_position":771,"value":142},{"alpha_index":980,"clock_position":980,"value":215},{"alpha_index":1189,"clock_position":1189,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,354,563,772,981,1190],"clock_positions":[145,354,563,772,981,1190],"native_values":[295,498,295,79,714,79],"rotation_degrees":41.6267942583732,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":295},{"alpha_index":354,"clock_position":354,"value":498},{"alpha_index":563,"clock_position":563,"value":295},{"alpha_index":772,"clock_position":772,"value":79},{"alpha_index":981,"clock_position":981,"value":714},{"alpha_index":1190,"clock_position":1190,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,355,564,773,982,1191],"clock_positions":[146,355,564,773,982,1191],"native_values":[91,221,510,221,91,640],"rotation_degrees":41.91387559808612,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":91},{"alpha_index":355,"clock_position":355,"value":221},{"alpha_index":564,"clock_position":564,"value":510},{"alpha_index":773,"clock_position":773,"value":221},{"alpha_index":982,"clock_position":982,"value":91},{"alpha_index":1191,"clock_position":1191,"value":640}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,356,565,774,983,1192],"clock_positions":[147,356,565,774,983,1192],"native_values":[386,719,805,300,805,719],"rotation_degrees":42.20095693779904,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":386},{"alpha_index":356,"clock_position":356,"value":719},{"alpha_index":565,"clock_position":565,"value":805},{"alpha_index":774,"clock_position":774,"value":300},{"alpha_index":983,"clock_position":983,"value":805},{"alpha_index":1192,"clock_position":1192,"value":719}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,357,566,775,984,1193],"clock_positions":[148,357,566,775,984,1193],"native_values":[477,102,477,521,58,521],"rotation_degrees":42.48803827751196,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":477},{"alpha_index":357,"clock_position":357,"value":102},{"alpha_index":566,"clock_position":566,"value":477},{"alpha_index":775,"clock_position":775,"value":521},{"alpha_index":984,"clock_position":984,"value":58},{"alpha_index":1193,"clock_position":1193,"value":521}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,358,567,776,985,1194],"clock_positions":[149,358,567,776,985,1194],"native_values":[25,821,444,821,25,402],"rotation_degrees":42.77511961722488,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":25},{"alpha_index":358,"clock_position":358,"value":821},{"alpha_index":567,"clock_position":567,"value":444},{"alpha_index":776,"clock_position":776,"value":821},{"alpha_index":985,"clock_position":985,"value":25},{"alpha_index":1194,"clock_position":1194,"value":402}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,359,568,777,986,1195],"clock_positions":[150,359,568,777,986,1195],"native_values":[502,85,83,504,83,85],"rotation_degrees":43.0622009569378,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":502},{"alpha_index":359,"clock_position":359,"value":85},{"alpha_index":568,"clock_position":568,"value":83},{"alpha_index":777,"clock_position":777,"value":504},{"alpha_index":986,"clock_position":986,"value":83},{"alpha_index":1195,"clock_position":1195,"value":85}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,360,569,778,987,1196],"clock_positions":[151,360,569,778,987,1196],"native_values":[527,68,527,487,108,487],"rotation_degrees":43.34928229665072,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":527},{"alpha_index":360,"clock_position":360,"value":68},{"alpha_index":569,"clock_position":569,"value":527},{"alpha_index":778,"clock_position":778,"value":487},{"alpha_index":987,"clock_position":987,"value":108},{"alpha_index":1196,"clock_position":1196,"value":487}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,361,570,779,988,1197],"clock_positions":[152,361,570,779,988,1197],"native_values":[191,153,610,153,191,572],"rotation_degrees":43.63636363636363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":191},{"alpha_index":361,"clock_position":361,"value":153},{"alpha_index":570,"clock_position":570,"value":610},{"alpha_index":779,"clock_position":779,"value":153},{"alpha_index":988,"clock_position":988,"value":191},{"alpha_index":1197,"clock_position":1197,"value":572}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,362,571,780,989,1198],"clock_positions":[153,362,571,780,989,1198],"native_values":[718,221,299,640,299,221],"rotation_degrees":43.92344497607655,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":718},{"alpha_index":362,"clock_position":362,"value":221},{"alpha_index":571,"clock_position":571,"value":299},{"alpha_index":780,"clock_position":780,"value":640},{"alpha_index":989,"clock_position":989,"value":299},{"alpha_index":1198,"clock_position":1198,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,363,572,781,990,1199],"clock_positions":[154,363,572,781,990,1199],"native_values":[71,374,71,793,490,793],"rotation_degrees":44.21052631578947,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":71},{"alpha_index":363,"clock_position":363,"value":374},{"alpha_index":572,"clock_position":572,"value":71},{"alpha_index":781,"clock_position":781,"value":793},{"alpha_index":990,"clock_position":990,"value":490},{"alpha_index":1199,"clock_position":1199,"value":793}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,364,573,782,991,1200],"clock_positions":[155,364,573,782,991,1200],"native_values":[789,595,370,595,789,176],"rotation_degrees":44.49760765550239,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":789},{"alpha_index":364,"clock_position":364,"value":595},{"alpha_index":573,"clock_position":573,"value":370},{"alpha_index":782,"clock_position":782,"value":595},{"alpha_index":991,"clock_position":991,"value":789},{"alpha_index":1200,"clock_position":1200,"value":176}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,365,574,783,992,1201],"clock_positions":[156,365,574,783,992,1201],"native_values":[22,131,441,550,441,131],"rotation_degrees":44.78468899521531,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":22},{"alpha_index":365,"clock_position":365,"value":131},{"alpha_index":574,"clock_position":574,"value":441},{"alpha_index":783,"clock_position":783,"value":550},{"alpha_index":992,"clock_position":992,"value":441},{"alpha_index":1201,"clock_position":1201,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,366,575,784,993,1202],"clock_positions":[157,366,575,784,993,1202],"native_values":[811,726,811,307,392,307],"rotation_degrees":45.07177033492823,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":811},{"alpha_index":366,"clock_position":366,"value":726},{"alpha_index":575,"clock_position":575,"value":811},{"alpha_index":784,"clock_position":784,"value":307},{"alpha_index":993,"clock_position":993,"value":392},{"alpha_index":1202,"clock_position":1202,"value":307}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,367,576,785,994,1203],"clock_positions":[158,367,576,785,994,1203],"native_values":[833,19,414,19,833,438],"rotation_degrees":45.35885167464115,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":833},{"alpha_index":367,"clock_position":367,"value":19},{"alpha_index":576,"clock_position":576,"value":414},{"alpha_index":785,"clock_position":785,"value":19},{"alpha_index":994,"clock_position":994,"value":833},{"alpha_index":1203,"clock_position":1203,"value":438}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,368,577,786,995,1204],"clock_positions":[159,368,577,786,995,1204],"native_values":[806,745,387,326,387,745],"rotation_degrees":45.645933014354064,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":806},{"alpha_index":368,"clock_position":368,"value":745},{"alpha_index":577,"clock_position":577,"value":387},{"alpha_index":786,"clock_position":786,"value":326},{"alpha_index":995,"clock_position":995,"value":387},{"alpha_index":1204,"clock_position":1204,"value":745}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,369,578,787,996,1205],"clock_positions":[160,369,578,787,996,1205],"native_values":[801,764,801,345,382,345],"rotation_degrees":45.933014354066984,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":801},{"alpha_index":369,"clock_position":369,"value":764},{"alpha_index":578,"clock_position":578,"value":801},{"alpha_index":787,"clock_position":787,"value":345},{"alpha_index":996,"clock_position":996,"value":382},{"alpha_index":1205,"clock_position":1205,"value":345}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,370,579,788,997,1206],"clock_positions":[161,370,579,788,997,1206],"native_values":[769,671,350,671,769,252],"rotation_degrees":46.2200956937799,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":769},{"alpha_index":370,"clock_position":370,"value":671},{"alpha_index":579,"clock_position":579,"value":350},{"alpha_index":788,"clock_position":788,"value":671},{"alpha_index":997,"clock_position":997,"value":769},{"alpha_index":1206,"clock_position":1206,"value":252}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,371,580,789,998,1207],"clock_positions":[162,371,580,789,998,1207],"native_values":[732,597,313,178,313,597],"rotation_degrees":46.50717703349282,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":732},{"alpha_index":371,"clock_position":371,"value":597},{"alpha_index":580,"clock_position":580,"value":313},{"alpha_index":789,"clock_position":789,"value":178},{"alpha_index":998,"clock_position":998,"value":313},{"alpha_index":1207,"clock_position":1207,"value":597}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,372,581,790,999,1208],"clock_positions":[163,372,581,790,999,1208],"native_values":[663,430,663,11,244,11],"rotation_degrees":46.79425837320574,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":663},{"alpha_index":372,"clock_position":372,"value":430},{"alpha_index":581,"clock_position":581,"value":663},{"alpha_index":790,"clock_position":790,"value":11},{"alpha_index":999,"clock_position":999,"value":244},{"alpha_index":1208,"clock_position":1208,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,373,582,791,1000,1209],"clock_positions":[164,373,582,791,1000,1209],"native_values":[557,189,138,189,557,608],"rotation_degrees":47.08133971291866,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":557},{"alpha_index":373,"clock_position":373,"value":189},{"alpha_index":582,"clock_position":582,"value":138},{"alpha_index":791,"clock_position":791,"value":189},{"alpha_index":1000,"clock_position":1000,"value":557},{"alpha_index":1209,"clock_position":1209,"value":608}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,374,583,792,1001,1210],"clock_positions":[165,374,583,792,1001,1210],"native_values":[382,619,801,200,801,619],"rotation_degrees":47.36842105263158,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":382},{"alpha_index":374,"clock_position":374,"value":619},{"alpha_index":583,"clock_position":583,"value":801},{"alpha_index":792,"clock_position":792,"value":200},{"alpha_index":1001,"clock_position":1001,"value":801},{"alpha_index":1210,"clock_position":1210,"value":619}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,375,584,793,1002,1211],"clock_positions":[166,375,584,793,1002,1211],"native_values":[101,808,101,389,520,389],"rotation_degrees":47.655502392344495,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":101},{"alpha_index":375,"clock_position":375,"value":808},{"alpha_index":584,"clock_position":584,"value":101},{"alpha_index":793,"clock_position":793,"value":389},{"alpha_index":1002,"clock_position":1002,"value":520},{"alpha_index":1211,"clock_position":1211,"value":389}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,376,585,794,1003,1212],"clock_positions":[167,376,585,794,1003,1212],"native_values":[483,589,64,589,483,170],"rotation_degrees":47.942583732057415,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":483},{"alpha_index":376,"clock_position":376,"value":589},{"alpha_index":585,"clock_position":585,"value":64},{"alpha_index":794,"clock_position":794,"value":589},{"alpha_index":1003,"clock_position":1003,"value":483},{"alpha_index":1212,"clock_position":1212,"value":170}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,377,586,795,1004,1213],"clock_positions":[168,377,586,795,1004,1213],"native_values":[584,559,165,140,165,559],"rotation_degrees":48.229665071770334,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":584},{"alpha_index":377,"clock_position":377,"value":559},{"alpha_index":586,"clock_position":586,"value":165},{"alpha_index":795,"clock_position":795,"value":140},{"alpha_index":1004,"clock_position":1004,"value":165},{"alpha_index":1213,"clock_position":1213,"value":559}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,378,587,796,1005,1214],"clock_positions":[169,378,587,796,1005,1214],"native_values":[229,310,229,729,648,729],"rotation_degrees":48.516746411483254,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":229},{"alpha_index":378,"clock_position":378,"value":310},{"alpha_index":587,"clock_position":587,"value":229},{"alpha_index":796,"clock_position":796,"value":729},{"alpha_index":1005,"clock_position":1005,"value":648},{"alpha_index":1214,"clock_position":1214,"value":729}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,379,588,797,1006,1215],"clock_positions":[170,379,588,797,1006,1215],"native_values":[813,31,394,31,813,450],"rotation_degrees":48.803827751196174,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":813},{"alpha_index":379,"clock_position":379,"value":31},{"alpha_index":588,"clock_position":588,"value":394},{"alpha_index":797,"clock_position":797,"value":31},{"alpha_index":1006,"clock_position":1006,"value":813},{"alpha_index":1215,"clock_position":1215,"value":450}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,380,589,798,1007,1216],"clock_positions":[171,380,589,798,1007,1216],"native_values":[204,341,623,760,623,341],"rotation_degrees":49.09090909090909,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":204},{"alpha_index":380,"clock_position":380,"value":341},{"alpha_index":589,"clock_position":589,"value":623},{"alpha_index":798,"clock_position":798,"value":760},{"alpha_index":1007,"clock_position":1007,"value":623},{"alpha_index":1216,"clock_position":1216,"value":341}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,381,590,799,1008,1217],"clock_positions":[172,381,590,799,1008,1217],"native_values":[179,372,179,791,598,791],"rotation_degrees":49.377990430622006,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":179},{"alpha_index":381,"clock_position":381,"value":372},{"alpha_index":590,"clock_position":590,"value":179},{"alpha_index":799,"clock_position":799,"value":791},{"alpha_index":1008,"clock_position":1008,"value":598},{"alpha_index":1217,"clock_position":1217,"value":791}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,382,591,800,1009,1218],"clock_positions":[173,382,591,800,1009,1218],"native_values":[383,713,802,713,383,294],"rotation_degrees":49.665071770334926,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":383},{"alpha_index":382,"clock_position":382,"value":713},{"alpha_index":591,"clock_position":591,"value":802},{"alpha_index":800,"clock_position":800,"value":713},{"alpha_index":1009,"clock_position":1009,"value":383},{"alpha_index":1218,"clock_position":1218,"value":294}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,383,592,801,1010,1219],"clock_positions":[174,383,592,801,1010,1219],"native_values":[562,247,143,666,143,247],"rotation_degrees":49.952153110047846,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":562},{"alpha_index":383,"clock_position":383,"value":247},{"alpha_index":592,"clock_position":592,"value":143},{"alpha_index":801,"clock_position":801,"value":666},{"alpha_index":1010,"clock_position":1010,"value":143},{"alpha_index":1219,"clock_position":1219,"value":247}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,384,593,802,1011,1220],"clock_positions":[175,384,593,802,1011,1220],"native_values":[107,122,107,541,526,541],"rotation_degrees":50.239234449760765,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":107},{"alpha_index":384,"clock_position":384,"value":122},{"alpha_index":593,"clock_position":593,"value":107},{"alpha_index":802,"clock_position":802,"value":541},{"alpha_index":1011,"clock_position":1011,"value":526},{"alpha_index":1220,"clock_position":1220,"value":541}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,385,594,803,1012,1221],"clock_positions":[176,385,594,803,1012,1221],"native_values":[669,369,250,369,669,788],"rotation_degrees":50.526315789473685,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":669},{"alpha_index":385,"clock_position":385,"value":369},{"alpha_index":594,"clock_position":594,"value":250},{"alpha_index":803,"clock_position":803,"value":369},{"alpha_index":1012,"clock_position":1012,"value":669},{"alpha_index":1221,"clock_position":1221,"value":788}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,386,595,804,1013,1222],"clock_positions":[177,386,595,804,1013,1222],"native_values":[776,491,357,72,357,491],"rotation_degrees":50.813397129186605,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":776},{"alpha_index":386,"clock_position":386,"value":491},{"alpha_index":595,"clock_position":595,"value":357},{"alpha_index":804,"clock_position":804,"value":72},{"alpha_index":1013,"clock_position":1013,"value":357},{"alpha_index":1222,"clock_position":1222,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,387,596,805,1014,1223],"clock_positions":[178,387,596,805,1014,1223],"native_values":[607,22,607,441,188,441],"rotation_degrees":51.100478468899524,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":607},{"alpha_index":387,"clock_position":387,"value":22},{"alpha_index":596,"clock_position":596,"value":607},{"alpha_index":805,"clock_position":805,"value":441},{"alpha_index":1014,"clock_position":1014,"value":188},{"alpha_index":1223,"clock_position":1223,"value":441}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,388,597,806,1015,1224],"clock_positions":[179,388,597,806,1015,1224],"native_values":[545,513,126,513,545,94],"rotation_degrees":51.38755980861244,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":545},{"alpha_index":388,"clock_position":388,"value":513},{"alpha_index":597,"clock_position":597,"value":126},{"alpha_index":806,"clock_position":806,"value":513},{"alpha_index":1015,"clock_position":1015,"value":545},{"alpha_index":1224,"clock_position":1224,"value":94}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,389,598,807,1016,1225],"clock_positions":[180,389,598,807,1016,1225],"native_values":[314,535,733,116,733,535],"rotation_degrees":51.67464114832536,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":314},{"alpha_index":389,"clock_position":389,"value":535},{"alpha_index":598,"clock_position":598,"value":733},{"alpha_index":807,"clock_position":807,"value":116},{"alpha_index":1016,"clock_position":1016,"value":733},{"alpha_index":1225,"clock_position":1225,"value":535}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,390,599,808,1017,1226],"clock_positions":[181,390,599,808,1017,1226],"native_values":[21,210,21,629,440,629],"rotation_degrees":51.961722488038276,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":21},{"alpha_index":390,"clock_position":390,"value":210},{"alpha_index":599,"clock_position":599,"value":21},{"alpha_index":808,"clock_position":808,"value":629},{"alpha_index":1017,"clock_position":1017,"value":440},{"alpha_index":1226,"clock_position":1226,"value":629}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,391,600,809,1018,1227],"clock_positions":[182,391,600,809,1018,1227],"native_values":[335,745,754,745,335,326],"rotation_degrees":52.248803827751196,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":335},{"alpha_index":391,"clock_position":391,"value":745},{"alpha_index":600,"clock_position":600,"value":754},{"alpha_index":809,"clock_position":809,"value":745},{"alpha_index":1018,"clock_position":1018,"value":335},{"alpha_index":1227,"clock_position":1227,"value":326}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,392,601,810,1019,1228],"clock_positions":[183,392,601,810,1019,1228],"native_values":[356,117,775,536,775,117],"rotation_degrees":52.535885167464116,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":356},{"alpha_index":392,"clock_position":392,"value":117},{"alpha_index":601,"clock_position":601,"value":775},{"alpha_index":810,"clock_position":810,"value":536},{"alpha_index":1019,"clock_position":1019,"value":775},{"alpha_index":1228,"clock_position":1228,"value":117}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,393,602,811,1020,1229],"clock_positions":[184,393,602,811,1020,1229],"native_values":[691,24,691,443,272,443],"rotation_degrees":52.822966507177036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":691},{"alpha_index":393,"clock_position":393,"value":24},{"alpha_index":602,"clock_position":602,"value":691},{"alpha_index":811,"clock_position":811,"value":443},{"alpha_index":1020,"clock_position":1020,"value":272},{"alpha_index":1229,"clock_position":1229,"value":443}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,394,603,812,1021,1230],"clock_positions":[185,394,603,812,1021,1230],"native_values":[209,141,628,141,209,560],"rotation_degrees":53.110047846889955,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":209},{"alpha_index":394,"clock_position":394,"value":141},{"alpha_index":603,"clock_position":603,"value":628},{"alpha_index":812,"clock_position":812,"value":141},{"alpha_index":1021,"clock_position":1021,"value":209},{"alpha_index":1230,"clock_position":1230,"value":560}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,395,604,813,1022,1231],"clock_positions":[186,395,604,813,1022,1231],"native_values":[62,165,481,584,481,165],"rotation_degrees":53.39712918660287,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":62},{"alpha_index":395,"clock_position":395,"value":165},{"alpha_index":604,"clock_position":604,"value":481},{"alpha_index":813,"clock_position":813,"value":584},{"alpha_index":1022,"clock_position":1022,"value":481},{"alpha_index":1231,"clock_position":1231,"value":165}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,396,605,814,1023,1232],"clock_positions":[187,396,605,814,1023,1232],"native_values":[271,306,271,725,690,725],"rotation_degrees":53.68421052631579,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":271},{"alpha_index":396,"clock_position":396,"value":306},{"alpha_index":605,"clock_position":605,"value":271},{"alpha_index":814,"clock_position":814,"value":725},{"alpha_index":1023,"clock_position":1023,"value":690},{"alpha_index":1232,"clock_position":1232,"value":725}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,397,606,815,1024,1233],"clock_positions":[188,397,606,815,1024,1233],"native_values":[333,471,752,471,333,52],"rotation_degrees":53.97129186602871,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":333},{"alpha_index":397,"clock_position":397,"value":471},{"alpha_index":606,"clock_position":606,"value":752},{"alpha_index":815,"clock_position":815,"value":471},{"alpha_index":1024,"clock_position":1024,"value":333},{"alpha_index":1233,"clock_position":1233,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,398,607,816,1025,1234],"clock_positions":[189,398,607,816,1025,1234],"native_values":[604,777,185,358,185,777],"rotation_degrees":54.25837320574163,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":604},{"alpha_index":398,"clock_position":398,"value":777},{"alpha_index":607,"clock_position":607,"value":185},{"alpha_index":816,"clock_position":816,"value":358},{"alpha_index":1025,"clock_position":1025,"value":185},{"alpha_index":1234,"clock_position":1234,"value":777}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,399,608,817,1026,1235],"clock_positions":[190,399,608,817,1026,1235],"native_values":[99,410,99,829,518,829],"rotation_degrees":54.54545454545455,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":99},{"alpha_index":399,"clock_position":399,"value":410},{"alpha_index":608,"clock_position":608,"value":99},{"alpha_index":817,"clock_position":817,"value":829},{"alpha_index":1026,"clock_position":1026,"value":518},{"alpha_index":1235,"clock_position":1235,"value":829}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,400,609,818,1027,1236],"clock_positions":[191,400,609,818,1027,1236],"native_values":[703,349,284,349,703,768],"rotation_degrees":54.83253588516747,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":703},{"alpha_index":400,"clock_position":400,"value":349},{"alpha_index":609,"clock_position":609,"value":284},{"alpha_index":818,"clock_position":818,"value":349},{"alpha_index":1027,"clock_position":1027,"value":703},{"alpha_index":1236,"clock_position":1236,"value":768}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,401,610,819,1028,1237],"clock_positions":[192,401,610,819,1028,1237],"native_values":[802,759,383,340,383,759],"rotation_degrees":55.119617224880386,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":802},{"alpha_index":401,"clock_position":401,"value":759},{"alpha_index":610,"clock_position":610,"value":383},{"alpha_index":819,"clock_position":819,"value":340},{"alpha_index":1028,"clock_position":1028,"value":383},{"alpha_index":1237,"clock_position":1237,"value":759}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,402,611,820,1029,1238],"clock_positions":[193,402,611,820,1029,1238],"native_values":[667,270,667,689,248,689],"rotation_degrees":55.4066985645933,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":667},{"alpha_index":402,"clock_position":402,"value":270},{"alpha_index":611,"clock_position":611,"value":667},{"alpha_index":820,"clock_position":820,"value":689},{"alpha_index":1029,"clock_position":1029,"value":248},{"alpha_index":1238,"clock_position":1238,"value":689}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,403,612,821,1030,1239],"clock_positions":[194,403,612,821,1030,1239],"native_values":[631,191,212,191,631,610],"rotation_degrees":55.69377990430622,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":631},{"alpha_index":403,"clock_position":403,"value":191},{"alpha_index":612,"clock_position":612,"value":212},{"alpha_index":821,"clock_position":821,"value":191},{"alpha_index":1030,"clock_position":1030,"value":631},{"alpha_index":1239,"clock_position":1239,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,404,613,822,1031,1240],"clock_positions":[195,404,613,822,1031,1240],"native_values":[460,461,41,42,41,461],"rotation_degrees":55.98086124401914,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":460},{"alpha_index":404,"clock_position":404,"value":461},{"alpha_index":613,"clock_position":613,"value":41},{"alpha_index":822,"clock_position":822,"value":42},{"alpha_index":1031,"clock_position":1031,"value":41},{"alpha_index":1240,"clock_position":1240,"value":461}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,405,614,823,1032,1241],"clock_positions":[196,405,614,823,1032,1241],"native_values":[253,652,253,233,672,233],"rotation_degrees":56.26794258373206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":253},{"alpha_index":405,"clock_position":405,"value":652},{"alpha_index":614,"clock_position":614,"value":253},{"alpha_index":823,"clock_position":823,"value":233},{"alpha_index":1032,"clock_position":1032,"value":672},{"alpha_index":1241,"clock_position":1241,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,406,615,824,1033,1242],"clock_positions":[197,406,615,824,1033,1242],"native_values":[713,275,294,275,713,694],"rotation_degrees":56.55502392344498,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":713},{"alpha_index":406,"clock_position":406,"value":275},{"alpha_index":615,"clock_position":615,"value":294},{"alpha_index":824,"clock_position":824,"value":275},{"alpha_index":1033,"clock_position":1033,"value":713},{"alpha_index":1242,"clock_position":1242,"value":694}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,407,616,825,1034,1243],"clock_positions":[198,407,616,825,1034,1243],"native_values":[128,89,547,508,547,89],"rotation_degrees":56.8421052631579,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":128},{"alpha_index":407,"clock_position":407,"value":89},{"alpha_index":616,"clock_position":616,"value":547},{"alpha_index":825,"clock_position":825,"value":508},{"alpha_index":1034,"clock_position":1034,"value":547},{"alpha_index":1243,"clock_position":1243,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,408,617,826,1035,1244],"clock_positions":[199,408,617,826,1035,1244],"native_values":[3,364,3,783,422,783],"rotation_degrees":57.12918660287081,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":408,"clock_position":408,"value":364},{"alpha_index":826,"clock_position":826,"value":783},{"alpha_index":1035,"clock_position":1035,"value":422},{"alpha_index":1244,"clock_position":1244,"value":783}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-200","alpha_indices":[200,409,618,827,1036,1245],"clock_positions":[200,409,618,827,1036,1245],"native_values":[131,453,550,453,131,34],"rotation_degrees":57.41626794258373,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":200,"clock_position":200,"value":131},{"alpha_index":409,"clock_position":409,"value":453},{"alpha_index":618,"clock_position":618,"value":550},{"alpha_index":827,"clock_position":827,"value":453},{"alpha_index":1036,"clock_position":1036,"value":131},{"alpha_index":1245,"clock_position":1245,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-201","alpha_indices":[201,410,619,828,1037,1246],"clock_positions":[201,410,619,828,1037,1246],"native_values":[134,817,553,398,553,817],"rotation_degrees":57.70334928229665,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":201,"clock_position":201,"value":134},{"alpha_index":410,"clock_position":410,"value":817},{"alpha_index":619,"clock_position":619,"value":553},{"alpha_index":828,"clock_position":828,"value":398},{"alpha_index":1037,"clock_position":1037,"value":553},{"alpha_index":1246,"clock_position":1246,"value":817}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-202","alpha_indices":[202,411,620,829,1038,1247],"clock_positions":[202,411,620,829,1038,1247],"native_values":[265,432,265,13,684,13],"rotation_degrees":57.99043062200957,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":202,"clock_position":202,"value":265},{"alpha_index":411,"clock_position":411,"value":432},{"alpha_index":620,"clock_position":620,"value":265},{"alpha_index":829,"clock_position":829,"value":13},{"alpha_index":1038,"clock_position":1038,"value":684},{"alpha_index":1247,"clock_position":1247,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-203","alpha_indices":[203,412,621,830,1039,1248],"clock_positions":[203,412,621,830,1039,1248],"native_values":[399,411,818,411,399,830],"rotation_degrees":58.27751196172249,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":203,"clock_position":203,"value":399},{"alpha_index":412,"clock_position":412,"value":411},{"alpha_index":621,"clock_position":621,"value":818},{"alpha_index":830,"clock_position":830,"value":411},{"alpha_index":1039,"clock_position":1039,"value":399},{"alpha_index":1248,"clock_position":1248,"value":830}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-204","alpha_indices":[204,413,622,831,1040,1249],"clock_positions":[204,413,622,831,1040,1249],"native_values":[664,5,245,424,245,5],"rotation_degrees":58.56459330143541,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":664},{"alpha_index":413,"clock_position":413,"value":5},{"alpha_index":622,"clock_position":622,"value":245},{"alpha_index":831,"clock_position":831,"value":424},{"alpha_index":1040,"clock_position":1040,"value":245},{"alpha_index":1249,"clock_position":1249,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-205","alpha_indices":[205,414,623,832,1041,1250],"clock_positions":[205,414,623,832,1041,1250],"native_values":[225,416,225,835,644,835],"rotation_degrees":58.85167464114833,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":205,"clock_position":205,"value":225},{"alpha_index":414,"clock_position":414,"value":416},{"alpha_index":623,"clock_position":623,"value":225},{"alpha_index":832,"clock_position":832,"value":835},{"alpha_index":1041,"clock_position":1041,"value":644},{"alpha_index":1250,"clock_position":1250,"value":835}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-206","alpha_indices":[206,415,624,833,1042,1251],"clock_positions":[206,415,624,833,1042,1251],"native_values":[51,421,470,421,51,2],"rotation_degrees":59.13875598086124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":206,"clock_position":206,"value":51},{"alpha_index":415,"clock_position":415,"value":421},{"alpha_index":624,"clock_position":624,"value":470},{"alpha_index":833,"clock_position":833,"value":421},{"alpha_index":1042,"clock_position":1042,"value":51},{"alpha_index":1251,"clock_position":1251,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-207","alpha_indices":[207,416,625,834,1043,1252],"clock_positions":[207,416,625,834,1043,1252],"native_values":[276,837,695,418,695,837],"rotation_degrees":59.42583732057416,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":207,"clock_position":207,"value":276},{"alpha_index":416,"clock_position":416,"value":837},{"alpha_index":625,"clock_position":625,"value":695},{"alpha_index":834,"clock_position":834,"value":418},{"alpha_index":1043,"clock_position":1043,"value":695},{"alpha_index":1252,"clock_position":1252,"value":837}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-208","alpha_indices":[208,417,626,835,1044,1253],"clock_positions":[208,417,626,835,1044,1253],"native_values":[327,420,327,1,746,1],"rotation_degrees":59.71291866028708,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":208,"clock_position":208,"value":327},{"alpha_index":417,"clock_position":417,"value":420},{"alpha_index":626,"clock_position":626,"value":327},{"alpha_index":835,"clock_position":835,"value":1},{"alpha_index":1044,"clock_position":1044,"value":746},{"alpha_index":1253,"clock_position":1253,"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/m838/alpha.svg","png":"pilot-v1/views/m838/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m838/beta.svg","png":"pilot-v1/views/m838/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m838/gamma.svg","png":"pilot-v1/views/m838/gamma.png"},{"id":"fibonacci-m838p1254","name":"Fibonacci M838P1254","svg":"pilot-v1/views/m838/fibonacci-m838p1254.svg","png":"pilot-v1/views/m838/fibonacci-m838p1254.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}}