{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m338-p1092","name":"Fibonacci M338P1092","modulus":338,"pisano_period":1092,"conventions":{"index_origin":0,"clock_labels":[1092,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091],"orientation":"clockwise from north","zero_display":338,"alpha_circle_positions":1092,"beta_circle_positions":338,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,39,272,311,245,218,125,5,130,135,265,62,327,51,40,91,131,222,15,237,252,151,65,216,281,159,102,261,25,286,311,259,232,153,47,200,247,109,18,127,145,272,79,13,92,105,197,302,161,125,286,73,21,94,115,209,324,195,181,38,219,257,138,57,195,252,109,23,132,155,287,104,53,157,210,29,239,268,169,99,268,29,297,326,285,273,220,155,37,192,229,83,312,57,31,88,119,207,326,195,183,40,223,263,148,73,221,294,177,133,310,105,77,182,259,103,24,127,151,278,91,31,122,153,275,90,27,117,144,261,67,328,57,47,104,151,255,68,323,53,38,91,129,220,11,231,242,135,39,174,213,49,262,311,235,208,105,313,80,55,135,190,325,177,164,3,167,170,337,169,168,337,167,166,333,161,156,317,135,114,249,25,274,299,235,196,93,289,44,333,39,34,73,107,180,287,129,78,207,285,154,101,255,18,273,291,226,179,67,246,313,221,196,79,275,16,291,307,260,229,151,42,193,235,90,325,77,64,141,205,8,213,221,96,317,75,54,129,183,312,157,131,288,81,31,112,143,255,60,315,37,14,51,65,116,181,297,140,99,239,0,239,239,140,41,181,222,65,287,14,301,315,278,255,195,112,307,81,50,131,181,312,155,129,284,75,21,96,117,213,330,205,197,64,261,325,248,235,145,42,187,229,78,307,47,16,63,79,142,221,25,246,271,179,112,291,65,18,83,101,184,285,131,78,209,287,158,107,265,34,299,333,294,289,245,196,103,299,64,25,89,114,203,317,182,161,5,166,171,337,170,169,1,170,171,3,174,177,13,190,203,55,258,313,233,208,103,311,76,49,125,174,299,135,96,231,327,220,209,91,300,53,15,68,83,151,234,47,281,328,271,261,194,117,311,90,63,153,216,31,247,278,187,127,314,103,79,182,261,105,28,133,161,294,117,73,190,263,115,40,155,195,12,207,219,88,307,57,26,83,109,192,301,155,118,273,53,326,41,29,70,99,169,268,99,29,128,157,285,104,51,155,206,23,229,252,143,57,200,257,119,38,157,195,14,209,223,94,317,73,52,125,177,302,141,105,246,13,259,272,193,127,320,109,91,200,291,153,106,259,27,286,313,261,236,159,57,216,273,151,86,237,323,222,207,91,298,51,11,62,73,135,208,5,213,218,93,311,66,39,105,144,249,55,304,21,325,8,333,3,336,1,337,0,337,337,336,335,333,330,325,317,304,283,249,194,105,299,66,27,93,120,213,333,208,203,73,276,11,287,298,247,207,116,323,101,86,187,273,122,57,179,236,77,313,52,27,79,106,185,291,138,91,229,320,211,193,66,259,325,246,233,141,36,177,213,52,265,317,244,223,129,14,143,157,300,119,81,200,281,143,86,229,315,206,183,51,234,285,181,128,309,99,70,169,239,70,309,41,12,53,65,118,183,301,146,109,255,26,281,307,250,219,131,12,143,155,298,115,75,190,265,117,44,161,205,28,233,261,156,79,235,314,211,187,60,247,307,216,185,63,248,311,221,194,77,271,10,281,291,234,187,83,270,15,285,300,247,209,118,327,107,96,203,299,164,125,289,76,27,103,130,233,25,258,283,203,148,13,161,174,335,171,168,1,169,170,1,171,172,5,177,182,21,203,224,89,313,64,39,103,142,245,49,294,5,299,304,265,231,158,51,209,260,131,53,184,237,83,320,65,47,112,159,271,92,25,117,142,259,63,322,47,31,78,109,187,296,145,103,248,13,261,274,197,133,330,125,117,242,21,263,284,209,155,26,181,207,50,257,307,226,195,83,278,23,301,324,287,273,222,157,41,198,239,99,0,99,99,198,297,157,116,273,51,324,37,23,60,83,143,226,31,257,288,207,157,26,183,209,54,263,317,242,221,125,8,133,141,274,77,13,90,103,193,296,151,109,260,31,291,322,275,259,196,117,313,92,67,159,226,47,273,320,255,237,154,53,207,260,129,51,180,231,73,304,39,5,44,49,93,142,235,39,274,313,249,224,135,21,156,177,333,172,167,1,168,169,337,168,167,335,164,161,325,148,135,283,80,25,105,130,235,27,262,289,213,164,39,203,242,107,11,118,129,247,38,285,323,270,255,187,104,291,57,10,67,77,144,221,27,248,275,185,122,307,91,60,151,211,24,235,259,156,77,233,310,205,177,44,221,265,148,75,223,298,183,143,326,131,119,250,31,281,312,255,229,146,37,183,220,65,285,12,297,309,268,239,169,70,239,309,210,181,53,234,287,183,132,315,109,86,195,281,138,81,219,300,181,143,324,129,115,244,21,265,286,213,161,36,197,233,92,325,79,66,145,211,18,229,247,138,47,185,232,79,311,52,25,77,102,179,281,122,65,187,252,101,15,116,131,247,40,287,327,276,265,203,130,333,125,120,245,27,272,299,233,194,89,283,34,317,13,330,5,335,2,337,1],"display_values":[338,1,1,2,3,5,8,13,21,34,55,89,144,233,39,272,311,245,218,125,5,130,135,265,62,327,51,40,91,131,222,15,237,252,151,65,216,281,159,102,261,25,286,311,259,232,153,47,200,247,109,18,127,145,272,79,13,92,105,197,302,161,125,286,73,21,94,115,209,324,195,181,38,219,257,138,57,195,252,109,23,132,155,287,104,53,157,210,29,239,268,169,99,268,29,297,326,285,273,220,155,37,192,229,83,312,57,31,88,119,207,326,195,183,40,223,263,148,73,221,294,177,133,310,105,77,182,259,103,24,127,151,278,91,31,122,153,275,90,27,117,144,261,67,328,57,47,104,151,255,68,323,53,38,91,129,220,11,231,242,135,39,174,213,49,262,311,235,208,105,313,80,55,135,190,325,177,164,3,167,170,337,169,168,337,167,166,333,161,156,317,135,114,249,25,274,299,235,196,93,289,44,333,39,34,73,107,180,287,129,78,207,285,154,101,255,18,273,291,226,179,67,246,313,221,196,79,275,16,291,307,260,229,151,42,193,235,90,325,77,64,141,205,8,213,221,96,317,75,54,129,183,312,157,131,288,81,31,112,143,255,60,315,37,14,51,65,116,181,297,140,99,239,338,239,239,140,41,181,222,65,287,14,301,315,278,255,195,112,307,81,50,131,181,312,155,129,284,75,21,96,117,213,330,205,197,64,261,325,248,235,145,42,187,229,78,307,47,16,63,79,142,221,25,246,271,179,112,291,65,18,83,101,184,285,131,78,209,287,158,107,265,34,299,333,294,289,245,196,103,299,64,25,89,114,203,317,182,161,5,166,171,337,170,169,1,170,171,3,174,177,13,190,203,55,258,313,233,208,103,311,76,49,125,174,299,135,96,231,327,220,209,91,300,53,15,68,83,151,234,47,281,328,271,261,194,117,311,90,63,153,216,31,247,278,187,127,314,103,79,182,261,105,28,133,161,294,117,73,190,263,115,40,155,195,12,207,219,88,307,57,26,83,109,192,301,155,118,273,53,326,41,29,70,99,169,268,99,29,128,157,285,104,51,155,206,23,229,252,143,57,200,257,119,38,157,195,14,209,223,94,317,73,52,125,177,302,141,105,246,13,259,272,193,127,320,109,91,200,291,153,106,259,27,286,313,261,236,159,57,216,273,151,86,237,323,222,207,91,298,51,11,62,73,135,208,5,213,218,93,311,66,39,105,144,249,55,304,21,325,8,333,3,336,1,337,338,337,337,336,335,333,330,325,317,304,283,249,194,105,299,66,27,93,120,213,333,208,203,73,276,11,287,298,247,207,116,323,101,86,187,273,122,57,179,236,77,313,52,27,79,106,185,291,138,91,229,320,211,193,66,259,325,246,233,141,36,177,213,52,265,317,244,223,129,14,143,157,300,119,81,200,281,143,86,229,315,206,183,51,234,285,181,128,309,99,70,169,239,70,309,41,12,53,65,118,183,301,146,109,255,26,281,307,250,219,131,12,143,155,298,115,75,190,265,117,44,161,205,28,233,261,156,79,235,314,211,187,60,247,307,216,185,63,248,311,221,194,77,271,10,281,291,234,187,83,270,15,285,300,247,209,118,327,107,96,203,299,164,125,289,76,27,103,130,233,25,258,283,203,148,13,161,174,335,171,168,1,169,170,1,171,172,5,177,182,21,203,224,89,313,64,39,103,142,245,49,294,5,299,304,265,231,158,51,209,260,131,53,184,237,83,320,65,47,112,159,271,92,25,117,142,259,63,322,47,31,78,109,187,296,145,103,248,13,261,274,197,133,330,125,117,242,21,263,284,209,155,26,181,207,50,257,307,226,195,83,278,23,301,324,287,273,222,157,41,198,239,99,338,99,99,198,297,157,116,273,51,324,37,23,60,83,143,226,31,257,288,207,157,26,183,209,54,263,317,242,221,125,8,133,141,274,77,13,90,103,193,296,151,109,260,31,291,322,275,259,196,117,313,92,67,159,226,47,273,320,255,237,154,53,207,260,129,51,180,231,73,304,39,5,44,49,93,142,235,39,274,313,249,224,135,21,156,177,333,172,167,1,168,169,337,168,167,335,164,161,325,148,135,283,80,25,105,130,235,27,262,289,213,164,39,203,242,107,11,118,129,247,38,285,323,270,255,187,104,291,57,10,67,77,144,221,27,248,275,185,122,307,91,60,151,211,24,235,259,156,77,233,310,205,177,44,221,265,148,75,223,298,183,143,326,131,119,250,31,281,312,255,229,146,37,183,220,65,285,12,297,309,268,239,169,70,239,309,210,181,53,234,287,183,132,315,109,86,195,281,138,81,219,300,181,143,324,129,115,244,21,265,286,213,161,36,197,233,92,325,79,66,145,211,18,229,247,138,47,185,232,79,311,52,25,77,102,179,281,122,65,187,252,101,15,116,131,247,40,287,327,276,265,203,130,333,125,120,245,27,272,299,233,194,89,283,34,317,13,330,5,335,2,337,1]},"gamma":{"alpha_indices":[0,4,8,12,14,22,25,26,30,31,32,33,36,38,39,40,46,51,58,65,69,70,73,75,76,77,78,81,87,92,95,97,98,102,105,106,110,112,113,120,121,124,129,136,138,139,140,141,142,145,149,155,158,160,161,162,163,169,173,176,178,183,187,189,191,192,193,199,202,203,207,209,210,211,212,215,216,217,218,222,229,234,237,241,244,246,248,249,250,251,252,255,256,260,261,262,265,269,271,273,279,284,286,287,290,294,296,298,299,300,301,302,303,307,312,315,319,324,328,330,334,336,344,345,354,361,367,368,369,370,375,384,386,387,388,389,393,395,399,404,406,408,409,410,411,421,422,426,427,434,435,436,437,440,444,448,454,457,461,463,468,470,476,485,487,488,489,499,500,503,506,508,509,510,511,514,516,517,520,524,527,529,531,532,533,534,535,538,541,542,543,546,549,551,552,557,559,561,562,563,564,565,566,570,575,581,583,589,593,594,600,603,605,606,607,608,614,618,620,626,628,629,630,631,634,635,640,642,646,650,655,657,662,665,671,672,678,681,683,692,693,696,697,698,699,703,705,712,717,723,725,726,731,734,736,742,747,752,754,760,766,770,773,777,785,789,791,793,800,805,810,812,813,816,818,819,820,821,822,823,826,827,828,831,837,838,841,843,851,855,863,868,872,875,877,878,881,883,884,885,886,889,893,896,899,901,902,903,904,905,909,912,919,923,926,929,931,937,940,942,943,946,947,951,953,960,963,966,971,976,979,987,988,992,995,996,997,998,1004,1005,1008,1010,1011,1012,1015,1017,1018,1019,1020,1023,1024,1027,1030,1032,1038,1041,1044,1053,1059,1061,1067,1068,1072,1074,1076,1086],"clock_positions":[1092,4,8,12,14,22,25,26,30,31,32,33,36,38,39,40,46,51,58,65,69,70,73,75,76,77,78,81,87,92,95,97,98,102,105,106,110,112,113,120,121,124,129,136,138,139,140,141,142,145,149,155,158,160,161,162,163,169,173,176,178,183,187,189,191,192,193,199,202,203,207,209,210,211,212,215,216,217,218,222,229,234,237,241,244,246,248,249,250,251,252,255,256,260,261,262,265,269,271,273,279,284,286,287,290,294,296,298,299,300,301,302,303,307,312,315,319,324,328,330,334,336,344,345,354,361,367,368,369,370,375,384,386,387,388,389,393,395,399,404,406,408,409,410,411,421,422,426,427,434,435,436,437,440,444,448,454,457,461,463,468,470,476,485,487,488,489,499,500,503,506,508,509,510,511,514,516,517,520,524,527,529,531,532,533,534,535,538,541,542,543,546,549,551,552,557,559,561,562,563,564,565,566,570,575,581,583,589,593,594,600,603,605,606,607,608,614,618,620,626,628,629,630,631,634,635,640,642,646,650,655,657,662,665,671,672,678,681,683,692,693,696,697,698,699,703,705,712,717,723,725,726,731,734,736,742,747,752,754,760,766,770,773,777,785,789,791,793,800,805,810,812,813,816,818,819,820,821,822,823,826,827,828,831,837,838,841,843,851,855,863,868,872,875,877,878,881,883,884,885,886,889,893,896,899,901,902,903,904,905,909,912,919,923,926,929,931,937,940,942,943,946,947,951,953,960,963,966,971,976,979,987,988,992,995,996,997,998,1004,1005,1008,1010,1011,1012,1015,1017,1018,1019,1020,1023,1024,1027,1030,1032,1038,1041,1044,1053,1059,1061,1067,1068,1072,1074,1076,1086],"clockwise_values":[338,3,21,144,39,135,327,51,222,15,237,252,216,159,102,261,153,18,105,21,324,195,219,138,57,195,252,132,210,99,297,285,273,192,312,57,207,195,183,294,177,105,24,153,90,27,117,144,261,57,255,129,231,135,39,174,213,105,135,177,3,168,333,156,135,114,249,93,333,39,180,129,78,207,285,255,18,273,291,246,291,42,90,141,213,96,75,54,129,183,312,288,81,255,60,315,51,297,99,338,222,315,255,195,81,312,129,75,21,96,117,213,330,261,42,78,63,246,291,18,285,78,333,294,114,171,171,3,174,177,258,174,135,96,231,327,300,15,234,261,117,90,63,153,216,261,105,294,117,195,12,207,219,57,192,273,99,99,285,51,252,57,195,177,141,105,246,291,153,27,261,159,57,216,273,237,222,207,51,135,213,93,66,39,105,144,249,21,333,3,336,338,336,333,330,249,105,66,27,93,120,213,333,276,207,273,57,27,291,138,66,246,141,36,177,213,129,300,81,315,183,51,234,285,309,99,309,12,183,255,219,12,75,117,261,156,60,216,63,291,234,270,15,285,300,327,96,27,258,174,171,168,171,177,21,39,294,231,51,237,159,117,63,78,261,330,117,21,207,195,324,273,222,198,99,338,99,99,198,297,273,51,324,60,288,207,183,54,141,90,291,117,159,273,255,237,207,129,51,180,231,39,93,39,249,135,21,156,177,333,168,168,135,105,27,213,39,129,285,270,255,291,57,144,27,60,24,156,177,75,183,312,255,183,285,12,297,309,309,210,234,183,132,315,195,138,81,219,300,324,129,21,213,36,66,18,138,102,252,15,327,276,333,120,27,330],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,233,1306,327,0,262,0,0,0,216,281,0,0,1113,603,728,1144,418,0,219,257,0,0,0,132,756,705,297,326,0,412,312,0,238,326,0,968,0,443,621,800,275,0,0,0,0,395,302,573,231,242,0,0,0,1065,448,515,164,843,670,161,317,0,0,1029,333,0,214,287,0,0,0,255,0,0,0,472,1100,947,428,466,213,221,317,0,0,0,0,288,0,286,0,0,51,362,140,239,840,667,278,0,419,362,155,284,0,0,0,0,0,466,953,416,370,467,562,65,368,131,1359,0,1310,1034,847,0,0,0,461,1418,299,0,0,0,520,53,302,927,194,311,0,0,0,1548,0,322,0,836,0,0,0,395,218,574,519,437,314,104,613,143,771,1107,302,0,0,1584,0,365,599,236,0,0,0,237,323,0,389,146,213,218,311,0,0,0,0,359,333,0,0,338,674,335,0,1229,194,299,0,0,0,0,0,484,843,813,122,857,370,0,1044,584,233,0,0,0,1101,314,119,939,206,0,0,0,309,0,548,41,236,556,864,131,711,455,671,0,1026,554,185,1613,0,270,0,0,0,574,107,1156,491,808,335,0,341,177,182,893,539,873,158,837,627,388,401,400,1101,604,125,242,1118,840,685,287,0,198,239,0,0,0,0,0,273,0,0,60,740,0,183,209,1309,364,1143,1052,472,273,320,0,207,260,0,0,0,377,98,377,587,224,0,0,0,0,340,506,1300,388,365,551,164,681,285,323,0,291,0,154,221,1228,362,494,825,678,521,1281,0,412,285,0,0,0,985,0,234,287,0,0,195,281,0,0,0,324,0,359,551,161,926,356,476,1008,834,101,821,0,598,125,245,1734,680],"interval_residues":[4,26,178,233,292,327,0,262,0,0,0,216,281,0,0,99,265,52,130,80,0,219,257,0,0,0,132,80,29,297,326,0,74,312,0,238,326,0,292,0,105,283,124,275,0,0,0,0,57,302,235,231,242,0,0,0,51,110,177,164,167,332,161,317,0,0,15,333,0,214,287,0,0,0,255,0,0,0,134,86,271,90,128,213,221,317,0,0,0,0,288,0,286,0,0,51,24,140,239,164,329,278,0,81,24,155,284,0,0,0,0,0,128,277,78,32,129,224,65,30,131,7,0,296,20,171,0,0,0,123,66,299,0,0,0,182,53,302,251,194,311,0,0,0,196,0,322,0,160,0,0,0,57,218,236,181,99,314,104,275,143,95,93,302,0,0,232,0,27,261,236,0,0,0,237,323,0,51,146,213,218,311,0,0,0,0,21,333,0,0,0,336,335,0,215,194,299,0,0,0,0,0,146,167,137,122,181,32,0,30,246,233,0,0,0,87,314,119,263,206,0,0,0,309,0,210,41,236,218,188,131,35,117,333,0,12,216,185,261,0,270,0,0,0,236,107,142,153,132,335,0,3,177,182,217,201,197,158,161,289,50,63,62,87,266,125,242,104,164,9,287,0,198,239,0,0,0,0,0,273,0,0,60,64,0,183,209,295,26,129,38,134,273,320,0,207,260,0,0,0,39,98,39,249,224,0,0,0,0,2,168,286,50,27,213,164,5,285,323,0,291,0,154,221,214,24,156,149,2,183,267,0,74,285,0,0,0,309,0,234,287,0,0,195,281,0,0,0,324,0,21,213,161,250,18,138,332,158,101,145,0,260,125,245,44,4],"display_cycle":[4,26,178,233,292,327,338,262,338,338,338,216,281,338,338,99,265,52,130,80,338,219,257,338,338,338,132,80,29,297,326,338,74,312,338,238,326,338,292,338,105,283,124,275,338,338,338,338,57,302,235,231,242,338,338,338,51,110,177,164,167,332,161,317,338,338,15,333,338,214,287,338,338,338,255,338,338,338,134,86,271,90,128,213,221,317,338,338,338,338,288,338,286,338,338,51,24,140,239,164,329,278,338,81,24,155,284,338,338,338,338,338,128,277,78,32,129,224,65,30,131,7,338,296,20,171,338,338,338,123,66,299,338,338,338,182,53,302,251,194,311,338,338,338,196,338,322,338,160,338,338,338,57,218,236,181,99,314,104,275,143,95,93,302,338,338,232,338,27,261,236,338,338,338,237,323,338,51,146,213,218,311,338,338,338,338,21,333,338,338,338,336,335,338,215,194,299,338,338,338,338,338,146,167,137,122,181,32,338,30,246,233,338,338,338,87,314,119,263,206,338,338,338,309,338,210,41,236,218,188,131,35,117,333,338,12,216,185,261,338,270,338,338,338,236,107,142,153,132,335,338,3,177,182,217,201,197,158,161,289,50,63,62,87,266,125,242,104,164,9,287,338,198,239,338,338,338,338,338,273,338,338,60,64,338,183,209,295,26,129,38,134,273,320,338,207,260,338,338,338,39,98,39,249,224,338,338,338,338,2,168,286,50,27,213,164,5,285,323,338,291,338,154,221,214,24,156,149,2,183,267,338,74,285,338,338,338,309,338,234,287,338,338,195,281,338,338,338,324,338,21,213,161,250,18,138,332,158,101,145,338,260,125,245,44,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":14,"interior_indices":[13],"interior_values":[233],"sum":233,"residue":233},{"from_index":14,"to_index":22,"interior_indices":[15,16,17,18,19,20,21],"interior_values":[272,311,245,218,125,5,130],"sum":1306,"residue":292},{"from_index":22,"to_index":25,"interior_indices":[23,24],"interior_values":[265,62],"sum":327,"residue":327},{"from_index":25,"to_index":26,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":26,"to_index":30,"interior_indices":[27,28,29],"interior_values":[40,91,131],"sum":262,"residue":262},{"from_index":30,"to_index":31,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":31,"to_index":32,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":32,"to_index":33,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":33,"to_index":36,"interior_indices":[34,35],"interior_values":[151,65],"sum":216,"residue":216},{"from_index":36,"to_index":38,"interior_indices":[37],"interior_values":[281],"sum":281,"residue":281},{"from_index":38,"to_index":39,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":39,"to_index":40,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":40,"to_index":46,"interior_indices":[41,42,43,44,45],"interior_values":[25,286,311,259,232],"sum":1113,"residue":99},{"from_index":46,"to_index":51,"interior_indices":[47,48,49,50],"interior_values":[47,200,247,109],"sum":603,"residue":265},{"from_index":51,"to_index":58,"interior_indices":[52,53,54,55,56,57],"interior_values":[127,145,272,79,13,92],"sum":728,"residue":52},{"from_index":58,"to_index":65,"interior_indices":[59,60,61,62,63,64],"interior_values":[197,302,161,125,286,73],"sum":1144,"residue":130},{"from_index":65,"to_index":69,"interior_indices":[66,67,68],"interior_values":[94,115,209],"sum":418,"residue":80},{"from_index":69,"to_index":70,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":70,"to_index":73,"interior_indices":[71,72],"interior_values":[181,38],"sum":219,"residue":219},{"from_index":73,"to_index":75,"interior_indices":[74],"interior_values":[257],"sum":257,"residue":257},{"from_index":75,"to_index":76,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":76,"to_index":77,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":77,"to_index":78,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":78,"to_index":81,"interior_indices":[79,80],"interior_values":[109,23],"sum":132,"residue":132},{"from_index":81,"to_index":87,"interior_indices":[82,83,84,85,86],"interior_values":[155,287,104,53,157],"sum":756,"residue":80},{"from_index":87,"to_index":92,"interior_indices":[88,89,90,91],"interior_values":[29,239,268,169],"sum":705,"residue":29},{"from_index":92,"to_index":95,"interior_indices":[93,94],"interior_values":[268,29],"sum":297,"residue":297},{"from_index":95,"to_index":97,"interior_indices":[96],"interior_values":[326],"sum":326,"residue":326},{"from_index":97,"to_index":98,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":98,"to_index":102,"interior_indices":[99,100,101],"interior_values":[220,155,37],"sum":412,"residue":74},{"from_index":102,"to_index":105,"interior_indices":[103,104],"interior_values":[229,83],"sum":312,"residue":312},{"from_index":105,"to_index":106,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":106,"to_index":110,"interior_indices":[107,108,109],"interior_values":[31,88,119],"sum":238,"residue":238},{"from_index":110,"to_index":112,"interior_indices":[111],"interior_values":[326],"sum":326,"residue":326},{"from_index":112,"to_index":113,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":113,"to_index":120,"interior_indices":[114,115,116,117,118,119],"interior_values":[40,223,263,148,73,221],"sum":968,"residue":292},{"from_index":120,"to_index":121,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":121,"to_index":124,"interior_indices":[122,123],"interior_values":[133,310],"sum":443,"residue":105},{"from_index":124,"to_index":129,"interior_indices":[125,126,127,128],"interior_values":[77,182,259,103],"sum":621,"residue":283},{"from_index":129,"to_index":136,"interior_indices":[130,131,132,133,134,135],"interior_values":[127,151,278,91,31,122],"sum":800,"residue":124},{"from_index":136,"to_index":138,"interior_indices":[137],"interior_values":[275],"sum":275,"residue":275},{"from_index":138,"to_index":139,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":139,"to_index":140,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":140,"to_index":141,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":141,"to_index":142,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":142,"to_index":145,"interior_indices":[143,144],"interior_values":[67,328],"sum":395,"residue":57},{"from_index":145,"to_index":149,"interior_indices":[146,147,148],"interior_values":[47,104,151],"sum":302,"residue":302},{"from_index":149,"to_index":155,"interior_indices":[150,151,152,153,154],"interior_values":[68,323,53,38,91],"sum":573,"residue":235},{"from_index":155,"to_index":158,"interior_indices":[156,157],"interior_values":[220,11],"sum":231,"residue":231},{"from_index":158,"to_index":160,"interior_indices":[159],"interior_values":[242],"sum":242,"residue":242},{"from_index":160,"to_index":161,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":161,"to_index":162,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":162,"to_index":163,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":163,"to_index":169,"interior_indices":[164,165,166,167,168],"interior_values":[49,262,311,235,208],"sum":1065,"residue":51},{"from_index":169,"to_index":173,"interior_indices":[170,171,172],"interior_values":[313,80,55],"sum":448,"residue":110},{"from_index":173,"to_index":176,"interior_indices":[174,175],"interior_values":[190,325],"sum":515,"residue":177},{"from_index":176,"to_index":178,"interior_indices":[177],"interior_values":[164],"sum":164,"residue":164},{"from_index":178,"to_index":183,"interior_indices":[179,180,181,182],"interior_values":[167,170,337,169],"sum":843,"residue":167},{"from_index":183,"to_index":187,"interior_indices":[184,185,186],"interior_values":[337,167,166],"sum":670,"residue":332},{"from_index":187,"to_index":189,"interior_indices":[188],"interior_values":[161],"sum":161,"residue":161},{"from_index":189,"to_index":191,"interior_indices":[190],"interior_values":[317],"sum":317,"residue":317},{"from_index":191,"to_index":192,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":192,"to_index":193,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":193,"to_index":199,"interior_indices":[194,195,196,197,198],"interior_values":[25,274,299,235,196],"sum":1029,"residue":15},{"from_index":199,"to_index":202,"interior_indices":[200,201],"interior_values":[289,44],"sum":333,"residue":333},{"from_index":202,"to_index":203,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":203,"to_index":207,"interior_indices":[204,205,206],"interior_values":[34,73,107],"sum":214,"residue":214},{"from_index":207,"to_index":209,"interior_indices":[208],"interior_values":[287],"sum":287,"residue":287},{"from_index":209,"to_index":210,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":210,"to_index":211,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":211,"to_index":212,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":212,"to_index":215,"interior_indices":[213,214],"interior_values":[154,101],"sum":255,"residue":255},{"from_index":215,"to_index":216,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":216,"to_index":217,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":217,"to_index":218,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":218,"to_index":222,"interior_indices":[219,220,221],"interior_values":[226,179,67],"sum":472,"residue":134},{"from_index":222,"to_index":229,"interior_indices":[223,224,225,226,227,228],"interior_values":[313,221,196,79,275,16],"sum":1100,"residue":86},{"from_index":229,"to_index":234,"interior_indices":[230,231,232,233],"interior_values":[307,260,229,151],"sum":947,"residue":271},{"from_index":234,"to_index":237,"interior_indices":[235,236],"interior_values":[193,235],"sum":428,"residue":90},{"from_index":237,"to_index":241,"interior_indices":[238,239,240],"interior_values":[325,77,64],"sum":466,"residue":128},{"from_index":241,"to_index":244,"interior_indices":[242,243],"interior_values":[205,8],"sum":213,"residue":213},{"from_index":244,"to_index":246,"interior_indices":[245],"interior_values":[221],"sum":221,"residue":221},{"from_index":246,"to_index":248,"interior_indices":[247],"interior_values":[317],"sum":317,"residue":317},{"from_index":248,"to_index":249,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":249,"to_index":250,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":250,"to_index":251,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":251,"to_index":252,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":252,"to_index":255,"interior_indices":[253,254],"interior_values":[157,131],"sum":288,"residue":288},{"from_index":255,"to_index":256,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":256,"to_index":260,"interior_indices":[257,258,259],"interior_values":[31,112,143],"sum":286,"residue":286},{"from_index":260,"to_index":261,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":261,"to_index":262,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":262,"to_index":265,"interior_indices":[263,264],"interior_values":[37,14],"sum":51,"residue":51},{"from_index":265,"to_index":269,"interior_indices":[266,267,268],"interior_values":[65,116,181],"sum":362,"residue":24},{"from_index":269,"to_index":271,"interior_indices":[270],"interior_values":[140],"sum":140,"residue":140},{"from_index":271,"to_index":273,"interior_indices":[272],"interior_values":[239],"sum":239,"residue":239},{"from_index":273,"to_index":279,"interior_indices":[274,275,276,277,278],"interior_values":[239,239,140,41,181],"sum":840,"residue":164},{"from_index":279,"to_index":284,"interior_indices":[280,281,282,283],"interior_values":[65,287,14,301],"sum":667,"residue":329},{"from_index":284,"to_index":286,"interior_indices":[285],"interior_values":[278],"sum":278,"residue":278},{"from_index":286,"to_index":287,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":287,"to_index":290,"interior_indices":[288,289],"interior_values":[112,307],"sum":419,"residue":81},{"from_index":290,"to_index":294,"interior_indices":[291,292,293],"interior_values":[50,131,181],"sum":362,"residue":24},{"from_index":294,"to_index":296,"interior_indices":[295],"interior_values":[155],"sum":155,"residue":155},{"from_index":296,"to_index":298,"interior_indices":[297],"interior_values":[284],"sum":284,"residue":284},{"from_index":298,"to_index":299,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":299,"to_index":300,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":307,"interior_indices":[304,305,306],"interior_values":[205,197,64],"sum":466,"residue":128},{"from_index":307,"to_index":312,"interior_indices":[308,309,310,311],"interior_values":[325,248,235,145],"sum":953,"residue":277},{"from_index":312,"to_index":315,"interior_indices":[313,314],"interior_values":[187,229],"sum":416,"residue":78},{"from_index":315,"to_index":319,"interior_indices":[316,317,318],"interior_values":[307,47,16],"sum":370,"residue":32},{"from_index":319,"to_index":324,"interior_indices":[320,321,322,323],"interior_values":[79,142,221,25],"sum":467,"residue":129},{"from_index":324,"to_index":328,"interior_indices":[325,326,327],"interior_values":[271,179,112],"sum":562,"residue":224},{"from_index":328,"to_index":330,"interior_indices":[329],"interior_values":[65],"sum":65,"residue":65},{"from_index":330,"to_index":334,"interior_indices":[331,332,333],"interior_values":[83,101,184],"sum":368,"residue":30},{"from_index":334,"to_index":336,"interior_indices":[335],"interior_values":[131],"sum":131,"residue":131},{"from_index":336,"to_index":344,"interior_indices":[337,338,339,340,341,342,343],"interior_values":[209,287,158,107,265,34,299],"sum":1359,"residue":7},{"from_index":344,"to_index":345,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":345,"to_index":354,"interior_indices":[346,347,348,349,350,351,352,353],"interior_values":[289,245,196,103,299,64,25,89],"sum":1310,"residue":296},{"from_index":354,"to_index":361,"interior_indices":[355,356,357,358,359,360],"interior_values":[203,317,182,161,5,166],"sum":1034,"residue":20},{"from_index":361,"to_index":367,"interior_indices":[362,363,364,365,366],"interior_values":[337,170,169,1,170],"sum":847,"residue":171},{"from_index":367,"to_index":368,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":368,"to_index":369,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":369,"to_index":370,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":370,"to_index":375,"interior_indices":[371,372,373,374],"interior_values":[13,190,203,55],"sum":461,"residue":123},{"from_index":375,"to_index":384,"interior_indices":[376,377,378,379,380,381,382,383],"interior_values":[313,233,208,103,311,76,49,125],"sum":1418,"residue":66},{"from_index":384,"to_index":386,"interior_indices":[385],"interior_values":[299],"sum":299,"residue":299},{"from_index":386,"to_index":387,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":387,"to_index":388,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":388,"to_index":389,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":389,"to_index":393,"interior_indices":[390,391,392],"interior_values":[220,209,91],"sum":520,"residue":182},{"from_index":393,"to_index":395,"interior_indices":[394],"interior_values":[53],"sum":53,"residue":53},{"from_index":395,"to_index":399,"interior_indices":[396,397,398],"interior_values":[68,83,151],"sum":302,"residue":302},{"from_index":399,"to_index":404,"interior_indices":[400,401,402,403],"interior_values":[47,281,328,271],"sum":927,"residue":251},{"from_index":404,"to_index":406,"interior_indices":[405],"interior_values":[194],"sum":194,"residue":194},{"from_index":406,"to_index":408,"interior_indices":[407],"interior_values":[311],"sum":311,"residue":311},{"from_index":408,"to_index":409,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":409,"to_index":410,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":410,"to_index":411,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":411,"to_index":421,"interior_indices":[412,413,414,415,416,417,418,419,420],"interior_values":[31,247,278,187,127,314,103,79,182],"sum":1548,"residue":196},{"from_index":421,"to_index":422,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":422,"to_index":426,"interior_indices":[423,424,425],"interior_values":[28,133,161],"sum":322,"residue":322},{"from_index":426,"to_index":427,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":427,"to_index":434,"interior_indices":[428,429,430,431,432,433],"interior_values":[73,190,263,115,40,155],"sum":836,"residue":160},{"from_index":434,"to_index":435,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":435,"to_index":436,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":436,"to_index":437,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":437,"to_index":440,"interior_indices":[438,439],"interior_values":[88,307],"sum":395,"residue":57},{"from_index":440,"to_index":444,"interior_indices":[441,442,443],"interior_values":[26,83,109],"sum":218,"residue":218},{"from_index":444,"to_index":448,"interior_indices":[445,446,447],"interior_values":[301,155,118],"sum":574,"residue":236},{"from_index":448,"to_index":454,"interior_indices":[449,450,451,452,453],"interior_values":[53,326,41,29,70],"sum":519,"residue":181},{"from_index":454,"to_index":457,"interior_indices":[455,456],"interior_values":[169,268],"sum":437,"residue":99},{"from_index":457,"to_index":461,"interior_indices":[458,459,460],"interior_values":[29,128,157],"sum":314,"residue":314},{"from_index":461,"to_index":463,"interior_indices":[462],"interior_values":[104],"sum":104,"residue":104},{"from_index":463,"to_index":468,"interior_indices":[464,465,466,467],"interior_values":[155,206,23,229],"sum":613,"residue":275},{"from_index":468,"to_index":470,"interior_indices":[469],"interior_values":[143],"sum":143,"residue":143},{"from_index":470,"to_index":476,"interior_indices":[471,472,473,474,475],"interior_values":[200,257,119,38,157],"sum":771,"residue":95},{"from_index":476,"to_index":485,"interior_indices":[477,478,479,480,481,482,483,484],"interior_values":[14,209,223,94,317,73,52,125],"sum":1107,"residue":93},{"from_index":485,"to_index":487,"interior_indices":[486],"interior_values":[302],"sum":302,"residue":302},{"from_index":487,"to_index":488,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":488,"to_index":489,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":489,"to_index":499,"interior_indices":[490,491,492,493,494,495,496,497,498],"interior_values":[13,259,272,193,127,320,109,91,200],"sum":1584,"residue":232},{"from_index":499,"to_index":500,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":500,"to_index":503,"interior_indices":[501,502],"interior_values":[106,259],"sum":365,"residue":27},{"from_index":503,"to_index":506,"interior_indices":[504,505],"interior_values":[286,313],"sum":599,"residue":261},{"from_index":506,"to_index":508,"interior_indices":[507],"interior_values":[236],"sum":236,"residue":236},{"from_index":508,"to_index":509,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":509,"to_index":510,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":510,"to_index":511,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":511,"to_index":514,"interior_indices":[512,513],"interior_values":[151,86],"sum":237,"residue":237},{"from_index":514,"to_index":516,"interior_indices":[515],"interior_values":[323],"sum":323,"residue":323},{"from_index":516,"to_index":517,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":517,"to_index":520,"interior_indices":[518,519],"interior_values":[91,298],"sum":389,"residue":51},{"from_index":520,"to_index":524,"interior_indices":[521,522,523],"interior_values":[11,62,73],"sum":146,"residue":146},{"from_index":524,"to_index":527,"interior_indices":[525,526],"interior_values":[208,5],"sum":213,"residue":213},{"from_index":527,"to_index":529,"interior_indices":[528],"interior_values":[218],"sum":218,"residue":218},{"from_index":529,"to_index":531,"interior_indices":[530],"interior_values":[311],"sum":311,"residue":311},{"from_index":531,"to_index":532,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":532,"to_index":533,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":533,"to_index":534,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":534,"to_index":535,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":535,"to_index":538,"interior_indices":[536,537],"interior_values":[55,304],"sum":359,"residue":21},{"from_index":538,"to_index":541,"interior_indices":[539,540],"interior_values":[325,8],"sum":333,"residue":333},{"from_index":541,"to_index":542,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":542,"to_index":543,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":543,"to_index":546,"interior_indices":[544,545],"interior_values":[1,337],"sum":338,"residue":0},{"from_index":546,"to_index":549,"interior_indices":[547,548],"interior_values":[337,337],"sum":674,"residue":336},{"from_index":549,"to_index":551,"interior_indices":[550],"interior_values":[335],"sum":335,"residue":335},{"from_index":551,"to_index":552,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":552,"to_index":557,"interior_indices":[553,554,555,556],"interior_values":[325,317,304,283],"sum":1229,"residue":215},{"from_index":557,"to_index":559,"interior_indices":[558],"interior_values":[194],"sum":194,"residue":194},{"from_index":559,"to_index":561,"interior_indices":[560],"interior_values":[299],"sum":299,"residue":299},{"from_index":561,"to_index":562,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":562,"to_index":563,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":563,"to_index":564,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":564,"to_index":565,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":565,"to_index":566,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":566,"to_index":570,"interior_indices":[567,568,569],"interior_values":[208,203,73],"sum":484,"residue":146},{"from_index":570,"to_index":575,"interior_indices":[571,572,573,574],"interior_values":[11,287,298,247],"sum":843,"residue":167},{"from_index":575,"to_index":581,"interior_indices":[576,577,578,579,580],"interior_values":[116,323,101,86,187],"sum":813,"residue":137},{"from_index":581,"to_index":583,"interior_indices":[582],"interior_values":[122],"sum":122,"residue":122},{"from_index":583,"to_index":589,"interior_indices":[584,585,586,587,588],"interior_values":[179,236,77,313,52],"sum":857,"residue":181},{"from_index":589,"to_index":593,"interior_indices":[590,591,592],"interior_values":[79,106,185],"sum":370,"residue":32},{"from_index":593,"to_index":594,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":594,"to_index":600,"interior_indices":[595,596,597,598,599],"interior_values":[91,229,320,211,193],"sum":1044,"residue":30},{"from_index":600,"to_index":603,"interior_indices":[601,602],"interior_values":[259,325],"sum":584,"residue":246},{"from_index":603,"to_index":605,"interior_indices":[604],"interior_values":[233],"sum":233,"residue":233},{"from_index":605,"to_index":606,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":606,"to_index":607,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":607,"to_index":608,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":608,"to_index":614,"interior_indices":[609,610,611,612,613],"interior_values":[52,265,317,244,223],"sum":1101,"residue":87},{"from_index":614,"to_index":618,"interior_indices":[615,616,617],"interior_values":[14,143,157],"sum":314,"residue":314},{"from_index":618,"to_index":620,"interior_indices":[619],"interior_values":[119],"sum":119,"residue":119},{"from_index":620,"to_index":626,"interior_indices":[621,622,623,624,625],"interior_values":[200,281,143,86,229],"sum":939,"residue":263},{"from_index":626,"to_index":628,"interior_indices":[627],"interior_values":[206],"sum":206,"residue":206},{"from_index":628,"to_index":629,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":629,"to_index":630,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":630,"to_index":631,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":631,"to_index":634,"interior_indices":[632,633],"interior_values":[181,128],"sum":309,"residue":309},{"from_index":634,"to_index":635,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":635,"to_index":640,"interior_indices":[636,637,638,639],"interior_values":[70,169,239,70],"sum":548,"residue":210},{"from_index":640,"to_index":642,"interior_indices":[641],"interior_values":[41],"sum":41,"residue":41},{"from_index":642,"to_index":646,"interior_indices":[643,644,645],"interior_values":[53,65,118],"sum":236,"residue":236},{"from_index":646,"to_index":650,"interior_indices":[647,648,649],"interior_values":[301,146,109],"sum":556,"residue":218},{"from_index":650,"to_index":655,"interior_indices":[651,652,653,654],"interior_values":[26,281,307,250],"sum":864,"residue":188},{"from_index":655,"to_index":657,"interior_indices":[656],"interior_values":[131],"sum":131,"residue":131},{"from_index":657,"to_index":662,"interior_indices":[658,659,660,661],"interior_values":[143,155,298,115],"sum":711,"residue":35},{"from_index":662,"to_index":665,"interior_indices":[663,664],"interior_values":[190,265],"sum":455,"residue":117},{"from_index":665,"to_index":671,"interior_indices":[666,667,668,669,670],"interior_values":[44,161,205,28,233],"sum":671,"residue":333},{"from_index":671,"to_index":672,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":672,"to_index":678,"interior_indices":[673,674,675,676,677],"interior_values":[79,235,314,211,187],"sum":1026,"residue":12},{"from_index":678,"to_index":681,"interior_indices":[679,680],"interior_values":[247,307],"sum":554,"residue":216},{"from_index":681,"to_index":683,"interior_indices":[682],"interior_values":[185],"sum":185,"residue":185},{"from_index":683,"to_index":692,"interior_indices":[684,685,686,687,688,689,690,691],"interior_values":[248,311,221,194,77,271,10,281],"sum":1613,"residue":261},{"from_index":692,"to_index":693,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":693,"to_index":696,"interior_indices":[694,695],"interior_values":[187,83],"sum":270,"residue":270},{"from_index":696,"to_index":697,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":697,"to_index":698,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":698,"to_index":699,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":699,"to_index":703,"interior_indices":[700,701,702],"interior_values":[247,209,118],"sum":574,"residue":236},{"from_index":703,"to_index":705,"interior_indices":[704],"interior_values":[107],"sum":107,"residue":107},{"from_index":705,"to_index":712,"interior_indices":[706,707,708,709,710,711],"interior_values":[203,299,164,125,289,76],"sum":1156,"residue":142},{"from_index":712,"to_index":717,"interior_indices":[713,714,715,716],"interior_values":[103,130,233,25],"sum":491,"residue":153},{"from_index":717,"to_index":723,"interior_indices":[718,719,720,721,722],"interior_values":[283,203,148,13,161],"sum":808,"residue":132},{"from_index":723,"to_index":725,"interior_indices":[724],"interior_values":[335],"sum":335,"residue":335},{"from_index":725,"to_index":726,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":726,"to_index":731,"interior_indices":[727,728,729,730],"interior_values":[1,169,170,1],"sum":341,"residue":3},{"from_index":731,"to_index":734,"interior_indices":[732,733],"interior_values":[172,5],"sum":177,"residue":177},{"from_index":734,"to_index":736,"interior_indices":[735],"interior_values":[182],"sum":182,"residue":182},{"from_index":736,"to_index":742,"interior_indices":[737,738,739,740,741],"interior_values":[203,224,89,313,64],"sum":893,"residue":217},{"from_index":742,"to_index":747,"interior_indices":[743,744,745,746],"interior_values":[103,142,245,49],"sum":539,"residue":201},{"from_index":747,"to_index":752,"interior_indices":[748,749,750,751],"interior_values":[5,299,304,265],"sum":873,"residue":197},{"from_index":752,"to_index":754,"interior_indices":[753],"interior_values":[158],"sum":158,"residue":158},{"from_index":754,"to_index":760,"interior_indices":[755,756,757,758,759],"interior_values":[209,260,131,53,184],"sum":837,"residue":161},{"from_index":760,"to_index":766,"interior_indices":[761,762,763,764,765],"interior_values":[83,320,65,47,112],"sum":627,"residue":289},{"from_index":766,"to_index":770,"interior_indices":[767,768,769],"interior_values":[271,92,25],"sum":388,"residue":50},{"from_index":770,"to_index":773,"interior_indices":[771,772],"interior_values":[142,259],"sum":401,"residue":63},{"from_index":773,"to_index":777,"interior_indices":[774,775,776],"interior_values":[322,47,31],"sum":400,"residue":62},{"from_index":777,"to_index":785,"interior_indices":[778,779,780,781,782,783,784],"interior_values":[109,187,296,145,103,248,13],"sum":1101,"residue":87},{"from_index":785,"to_index":789,"interior_indices":[786,787,788],"interior_values":[274,197,133],"sum":604,"residue":266},{"from_index":789,"to_index":791,"interior_indices":[790],"interior_values":[125],"sum":125,"residue":125},{"from_index":791,"to_index":793,"interior_indices":[792],"interior_values":[242],"sum":242,"residue":242},{"from_index":793,"to_index":800,"interior_indices":[794,795,796,797,798,799],"interior_values":[263,284,209,155,26,181],"sum":1118,"residue":104},{"from_index":800,"to_index":805,"interior_indices":[801,802,803,804],"interior_values":[50,257,307,226],"sum":840,"residue":164},{"from_index":805,"to_index":810,"interior_indices":[806,807,808,809],"interior_values":[83,278,23,301],"sum":685,"residue":9},{"from_index":810,"to_index":812,"interior_indices":[811],"interior_values":[287],"sum":287,"residue":287},{"from_index":812,"to_index":813,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":813,"to_index":816,"interior_indices":[814,815],"interior_values":[157,41],"sum":198,"residue":198},{"from_index":816,"to_index":818,"interior_indices":[817],"interior_values":[239],"sum":239,"residue":239},{"from_index":818,"to_index":819,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":819,"to_index":820,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":820,"to_index":821,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":821,"to_index":822,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":822,"to_index":823,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":823,"to_index":826,"interior_indices":[824,825],"interior_values":[157,116],"sum":273,"residue":273},{"from_index":826,"to_index":827,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":827,"to_index":828,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":828,"to_index":831,"interior_indices":[829,830],"interior_values":[37,23],"sum":60,"residue":60},{"from_index":831,"to_index":837,"interior_indices":[832,833,834,835,836],"interior_values":[83,143,226,31,257],"sum":740,"residue":64},{"from_index":837,"to_index":838,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":838,"to_index":841,"interior_indices":[839,840],"interior_values":[157,26],"sum":183,"residue":183},{"from_index":841,"to_index":843,"interior_indices":[842],"interior_values":[209],"sum":209,"residue":209},{"from_index":843,"to_index":851,"interior_indices":[844,845,846,847,848,849,850],"interior_values":[263,317,242,221,125,8,133],"sum":1309,"residue":295},{"from_index":851,"to_index":855,"interior_indices":[852,853,854],"interior_values":[274,77,13],"sum":364,"residue":26},{"from_index":855,"to_index":863,"interior_indices":[856,857,858,859,860,861,862],"interior_values":[103,193,296,151,109,260,31],"sum":1143,"residue":129},{"from_index":863,"to_index":868,"interior_indices":[864,865,866,867],"interior_values":[322,275,259,196],"sum":1052,"residue":38},{"from_index":868,"to_index":872,"interior_indices":[869,870,871],"interior_values":[313,92,67],"sum":472,"residue":134},{"from_index":872,"to_index":875,"interior_indices":[873,874],"interior_values":[226,47],"sum":273,"residue":273},{"from_index":875,"to_index":877,"interior_indices":[876],"interior_values":[320],"sum":320,"residue":320},{"from_index":877,"to_index":878,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":878,"to_index":881,"interior_indices":[879,880],"interior_values":[154,53],"sum":207,"residue":207},{"from_index":881,"to_index":883,"interior_indices":[882],"interior_values":[260],"sum":260,"residue":260},{"from_index":883,"to_index":884,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":884,"to_index":885,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":885,"to_index":886,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":886,"to_index":889,"interior_indices":[887,888],"interior_values":[73,304],"sum":377,"residue":39},{"from_index":889,"to_index":893,"interior_indices":[890,891,892],"interior_values":[5,44,49],"sum":98,"residue":98},{"from_index":893,"to_index":896,"interior_indices":[894,895],"interior_values":[142,235],"sum":377,"residue":39},{"from_index":896,"to_index":899,"interior_indices":[897,898],"interior_values":[274,313],"sum":587,"residue":249},{"from_index":899,"to_index":901,"interior_indices":[900],"interior_values":[224],"sum":224,"residue":224},{"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":905,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":905,"to_index":909,"interior_indices":[906,907,908],"interior_values":[172,167,1],"sum":340,"residue":2},{"from_index":909,"to_index":912,"interior_indices":[910,911],"interior_values":[169,337],"sum":506,"residue":168},{"from_index":912,"to_index":919,"interior_indices":[913,914,915,916,917,918],"interior_values":[167,335,164,161,325,148],"sum":1300,"residue":286},{"from_index":919,"to_index":923,"interior_indices":[920,921,922],"interior_values":[283,80,25],"sum":388,"residue":50},{"from_index":923,"to_index":926,"interior_indices":[924,925],"interior_values":[130,235],"sum":365,"residue":27},{"from_index":926,"to_index":929,"interior_indices":[927,928],"interior_values":[262,289],"sum":551,"residue":213},{"from_index":929,"to_index":931,"interior_indices":[930],"interior_values":[164],"sum":164,"residue":164},{"from_index":931,"to_index":937,"interior_indices":[932,933,934,935,936],"interior_values":[203,242,107,11,118],"sum":681,"residue":5},{"from_index":937,"to_index":940,"interior_indices":[938,939],"interior_values":[247,38],"sum":285,"residue":285},{"from_index":940,"to_index":942,"interior_indices":[941],"interior_values":[323],"sum":323,"residue":323},{"from_index":942,"to_index":943,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":943,"to_index":946,"interior_indices":[944,945],"interior_values":[187,104],"sum":291,"residue":291},{"from_index":946,"to_index":947,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":947,"to_index":951,"interior_indices":[948,949,950],"interior_values":[10,67,77],"sum":154,"residue":154},{"from_index":951,"to_index":953,"interior_indices":[952],"interior_values":[221],"sum":221,"residue":221},{"from_index":953,"to_index":960,"interior_indices":[954,955,956,957,958,959],"interior_values":[248,275,185,122,307,91],"sum":1228,"residue":214},{"from_index":960,"to_index":963,"interior_indices":[961,962],"interior_values":[151,211],"sum":362,"residue":24},{"from_index":963,"to_index":966,"interior_indices":[964,965],"interior_values":[235,259],"sum":494,"residue":156},{"from_index":966,"to_index":971,"interior_indices":[967,968,969,970],"interior_values":[77,233,310,205],"sum":825,"residue":149},{"from_index":971,"to_index":976,"interior_indices":[972,973,974,975],"interior_values":[44,221,265,148],"sum":678,"residue":2},{"from_index":976,"to_index":979,"interior_indices":[977,978],"interior_values":[223,298],"sum":521,"residue":183},{"from_index":979,"to_index":987,"interior_indices":[980,981,982,983,984,985,986],"interior_values":[143,326,131,119,250,31,281],"sum":1281,"residue":267},{"from_index":987,"to_index":988,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":988,"to_index":992,"interior_indices":[989,990,991],"interior_values":[229,146,37],"sum":412,"residue":74},{"from_index":992,"to_index":995,"interior_indices":[993,994],"interior_values":[220,65],"sum":285,"residue":285},{"from_index":995,"to_index":996,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":996,"to_index":997,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":997,"to_index":998,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":998,"to_index":1004,"interior_indices":[999,1000,1001,1002,1003],"interior_values":[268,239,169,70,239],"sum":985,"residue":309},{"from_index":1004,"to_index":1005,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1005,"to_index":1008,"interior_indices":[1006,1007],"interior_values":[181,53],"sum":234,"residue":234},{"from_index":1008,"to_index":1010,"interior_indices":[1009],"interior_values":[287],"sum":287,"residue":287},{"from_index":1010,"to_index":1011,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1011,"to_index":1012,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1012,"to_index":1015,"interior_indices":[1013,1014],"interior_values":[109,86],"sum":195,"residue":195},{"from_index":1015,"to_index":1017,"interior_indices":[1016],"interior_values":[281],"sum":281,"residue":281},{"from_index":1017,"to_index":1018,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1018,"to_index":1019,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1019,"to_index":1020,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1020,"to_index":1023,"interior_indices":[1021,1022],"interior_values":[181,143],"sum":324,"residue":324},{"from_index":1023,"to_index":1024,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1024,"to_index":1027,"interior_indices":[1025,1026],"interior_values":[115,244],"sum":359,"residue":21},{"from_index":1027,"to_index":1030,"interior_indices":[1028,1029],"interior_values":[265,286],"sum":551,"residue":213},{"from_index":1030,"to_index":1032,"interior_indices":[1031],"interior_values":[161],"sum":161,"residue":161},{"from_index":1032,"to_index":1038,"interior_indices":[1033,1034,1035,1036,1037],"interior_values":[197,233,92,325,79],"sum":926,"residue":250},{"from_index":1038,"to_index":1041,"interior_indices":[1039,1040],"interior_values":[145,211],"sum":356,"residue":18},{"from_index":1041,"to_index":1044,"interior_indices":[1042,1043],"interior_values":[229,247],"sum":476,"residue":138},{"from_index":1044,"to_index":1053,"interior_indices":[1045,1046,1047,1048,1049,1050,1051,1052],"interior_values":[47,185,232,79,311,52,25,77],"sum":1008,"residue":332},{"from_index":1053,"to_index":1059,"interior_indices":[1054,1055,1056,1057,1058],"interior_values":[179,281,122,65,187],"sum":834,"residue":158},{"from_index":1059,"to_index":1061,"interior_indices":[1060],"interior_values":[101],"sum":101,"residue":101},{"from_index":1061,"to_index":1067,"interior_indices":[1062,1063,1064,1065,1066],"interior_values":[116,131,247,40,287],"sum":821,"residue":145},{"from_index":1067,"to_index":1068,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1068,"to_index":1072,"interior_indices":[1069,1070,1071],"interior_values":[265,203,130],"sum":598,"residue":260},{"from_index":1072,"to_index":1074,"interior_indices":[1073],"interior_values":[125],"sum":125,"residue":125},{"from_index":1074,"to_index":1076,"interior_indices":[1075],"interior_values":[245],"sum":245,"residue":245},{"from_index":1076,"to_index":1086,"interior_indices":[1077,1078,1079,1080,1081,1082,1083,1084,1085],"interior_values":[272,299,233,194,89,283,34,317,13],"sum":1734,"residue":44},{"from_index":1086,"to_index":0,"interior_indices":[1087,1088,1089,1090,1091],"interior_values":[5,335,2,337,1],"sum":680,"residue":4}],"minimal_cycle":[4,26,178,233,292,327,0,262,0,0,0,216,281,0,0,99,265,52,130,80,0,219,257,0,0,0,132,80,29,297,326,0,74,312,0,238,326,0,292,0,105,283,124,275,0,0,0,0,57,302,235,231,242,0,0,0,51,110,177,164,167,332,161,317,0,0,15,333,0,214,287,0,0,0,255,0,0,0,134,86,271,90,128,213,221,317,0,0,0,0,288,0,286,0,0,51,24,140,239,164,329,278,0,81,24,155,284,0,0,0,0,0,128,277,78,32,129,224,65,30,131,7,0,296,20,171,0,0,0,123,66,299,0,0,0,182,53,302,251,194,311,0,0,0,196,0,322,0,160,0,0,0,57,218,236,181,99,314,104,275,143,95,93,302,0,0,232,0,27,261,236,0,0,0,237,323,0,51,146,213,218,311,0,0,0,0,21,333,0,0,0,336,335,0,215,194,299,0,0,0,0,0,146,167,137,122,181,32,0,30,246,233,0,0,0,87,314,119,263,206,0,0,0,309,0,210,41,236,218,188,131,35,117,333,0,12,216,185,261,0,270,0,0,0,236,107,142,153,132,335,0,3,177,182,217,201,197,158,161,289,50,63,62,87,266,125,242,104,164,9,287,0,198,239,0,0,0,0,0,273,0,0,60,64,0,183,209,295,26,129,38,134,273,320,0,207,260,0,0,0,39,98,39,249,224,0,0,0,0,2,168,286,50,27,213,164,5,285,323,0,291,0,154,221,214,24,156,149,2,183,267,0,74,285,0,0,0,309,0,234,287,0,0,195,281,0,0,0,324,0,21,213,161,250,18,138,332,158,101,145,0,260,125,245,44,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1092,4],"start_interval_values":[1,1,2],"circle_positions":338,"cycle_length":366,"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":[0,364,728],"clock_positions":[1092,364,728],"native_values":[338,169,169],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,169,169],"beta":{"interval_sums":[59150,62530,61854],"interval_residues":[0,0,0],"display_cycle":[338,338,338],"intervals":[{"from_index":0,"to_index":364,"sum":59150,"residue":0},{"from_index":364,"to_index":728,"sum":62530,"residue":0},{"from_index":728,"to_index":0,"sum":61854,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[1092,364],"circle_positions":338,"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":[1,365,729],"clock_positions":[1,365,729],"native_values":[1,1,170],"rotation_degrees":0.32967032967032966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,170],"beta":{"interval_sums":[59318,62698,61684],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":1,"to_index":365,"sum":59318,"residue":168},{"from_index":365,"to_index":729,"sum":62698,"residue":168},{"from_index":729,"to_index":1,"sum":61684,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[1,365],"circle_positions":338,"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":[2,366,730],"clock_positions":[2,366,730],"native_values":[1,170,1],"rotation_degrees":0.6593406593406593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,170,1],"beta":{"interval_sums":[59318,62698,61684],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":2,"to_index":366,"sum":59318,"residue":168},{"from_index":366,"to_index":730,"sum":62698,"residue":168},{"from_index":730,"to_index":2,"sum":61684,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[2,366],"circle_positions":338,"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":[3,367,731],"clock_positions":[3,367,731],"native_values":[2,171,171],"rotation_degrees":0.989010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,171,171],"beta":{"interval_sums":[59486,62528,61514],"interval_residues":[336,336,336],"display_cycle":[336,336,336],"intervals":[{"from_index":3,"to_index":367,"sum":59486,"residue":336},{"from_index":367,"to_index":731,"sum":62528,"residue":336},{"from_index":731,"to_index":3,"sum":61514,"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":[3,367],"circle_positions":338,"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":[4,368,732],"clock_positions":[4,368,732],"native_values":[3,3,172],"rotation_degrees":1.3186813186813187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,172],"beta":{"interval_sums":[59654,62696,61344],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":4,"to_index":368,"sum":59654,"residue":166},{"from_index":368,"to_index":732,"sum":62696,"residue":166},{"from_index":732,"to_index":4,"sum":61344,"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":[4,368],"circle_positions":338,"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":[5,369,733],"clock_positions":[5,369,733],"native_values":[5,174,5],"rotation_degrees":1.6483516483516483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,174,5],"beta":{"interval_sums":[59652,62694,61342],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":5,"to_index":369,"sum":59652,"residue":164},{"from_index":369,"to_index":733,"sum":62694,"residue":164},{"from_index":733,"to_index":5,"sum":61342,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[5,369],"circle_positions":338,"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":[6,370,734],"clock_positions":[6,370,734],"native_values":[8,177,177],"rotation_degrees":1.978021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,177,177],"beta":{"interval_sums":[59818,62522,61170],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":6,"to_index":370,"sum":59818,"residue":330},{"from_index":370,"to_index":734,"sum":62522,"residue":330},{"from_index":734,"to_index":6,"sum":61170,"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":[6,370],"circle_positions":338,"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":[7,371,735],"clock_positions":[7,371,735],"native_values":[13,13,182],"rotation_degrees":2.3076923076923075,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,13,182],"beta":{"interval_sums":[59982,62686,60996],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":7,"to_index":371,"sum":59982,"residue":156},{"from_index":371,"to_index":735,"sum":62686,"residue":156},{"from_index":735,"to_index":7,"sum":60996,"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":[7,371],"circle_positions":338,"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":[8,372,736],"clock_positions":[8,372,736],"native_values":[21,190,21],"rotation_degrees":2.6373626373626373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,190,21],"beta":{"interval_sums":[59974,62678,60988],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":8,"to_index":372,"sum":59974,"residue":148},{"from_index":372,"to_index":736,"sum":62678,"residue":148},{"from_index":736,"to_index":8,"sum":60988,"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":[8,372],"circle_positions":338,"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":[9,373,737],"clock_positions":[9,373,737],"native_values":[34,203,203],"rotation_degrees":2.967032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,203,203],"beta":{"interval_sums":[60130,62496,60806],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":9,"to_index":373,"sum":60130,"residue":304},{"from_index":373,"to_index":737,"sum":62496,"residue":304},{"from_index":737,"to_index":9,"sum":60806,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[9,373],"circle_positions":338,"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":[10,374,738],"clock_positions":[10,374,738],"native_values":[55,55,224],"rotation_degrees":3.2967032967032965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,224],"beta":{"interval_sums":[60278,62644,60616],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":10,"to_index":374,"sum":60278,"residue":114},{"from_index":374,"to_index":738,"sum":62644,"residue":114},{"from_index":738,"to_index":10,"sum":60616,"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":[10,374],"circle_positions":338,"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":[11,375,739],"clock_positions":[11,375,739],"native_values":[89,258,89],"rotation_degrees":3.6263736263736264,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,258,89],"beta":{"interval_sums":[60244,62610,60582],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":11,"to_index":375,"sum":60244,"residue":80},{"from_index":375,"to_index":739,"sum":62610,"residue":80},{"from_index":739,"to_index":11,"sum":60582,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[11,375],"circle_positions":338,"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":[12,376,740],"clock_positions":[12,376,740],"native_values":[144,313,313],"rotation_degrees":3.956043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,313,313],"beta":{"interval_sums":[60358,62386,60358],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":12,"to_index":376,"sum":60358,"residue":194},{"from_index":376,"to_index":740,"sum":62386,"residue":194},{"from_index":740,"to_index":12,"sum":60358,"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":[12,376],"circle_positions":338,"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":[13,377,741],"clock_positions":[13,377,741],"native_values":[233,233,64],"rotation_degrees":4.285714285714286,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,64],"beta":{"interval_sums":[60438,62466,60438],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":13,"to_index":377,"sum":60438,"residue":274},{"from_index":377,"to_index":741,"sum":62466,"residue":274},{"from_index":741,"to_index":13,"sum":60438,"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":[13,377],"circle_positions":338,"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":[14,378,742],"clock_positions":[14,378,742],"native_values":[39,208,39],"rotation_degrees":4.615384615384615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,208,39],"beta":{"interval_sums":[60632,62322,60632],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":14,"to_index":378,"sum":60632,"residue":130},{"from_index":378,"to_index":742,"sum":62322,"residue":130},{"from_index":742,"to_index":14,"sum":60632,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[14,378],"circle_positions":338,"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":[15,379,743],"clock_positions":[15,379,743],"native_values":[272,103,103],"rotation_degrees":4.945054945054945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,103,103],"beta":{"interval_sums":[60568,62258,60568],"interval_residues":[66,66,66],"display_cycle":[66,66,66],"intervals":[{"from_index":15,"to_index":379,"sum":60568,"residue":66},{"from_index":379,"to_index":743,"sum":62258,"residue":66},{"from_index":743,"to_index":15,"sum":60568,"residue":66}],"minimal_cycle":[66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[15,379],"circle_positions":338,"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":[16,380,744],"clock_positions":[16,380,744],"native_values":[311,311,142],"rotation_degrees":5.274725274725275,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,311,142],"beta":{"interval_sums":[60360,62050,60698],"interval_residues":[196,196,196],"display_cycle":[196,196,196],"intervals":[{"from_index":16,"to_index":380,"sum":60360,"residue":196},{"from_index":380,"to_index":744,"sum":62050,"residue":196},{"from_index":744,"to_index":16,"sum":60698,"residue":196}],"minimal_cycle":[196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[16,380],"circle_positions":338,"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":[17,381,745],"clock_positions":[17,381,745],"native_values":[245,76,245],"rotation_degrees":5.604395604395604,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,76,245],"beta":{"interval_sums":[60426,62116,60764],"interval_residues":[262,262,262],"display_cycle":[262,262,262],"intervals":[{"from_index":17,"to_index":381,"sum":60426,"residue":262},{"from_index":381,"to_index":745,"sum":62116,"residue":262},{"from_index":745,"to_index":17,"sum":60764,"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":[17,381],"circle_positions":338,"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":[18,382,746],"clock_positions":[18,382,746],"native_values":[218,49,49],"rotation_degrees":5.934065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[218,49,49],"beta":{"interval_sums":[60284,62312,60960],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":18,"to_index":382,"sum":60284,"residue":120},{"from_index":382,"to_index":746,"sum":62312,"residue":120},{"from_index":746,"to_index":18,"sum":60960,"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":[18,382],"circle_positions":338,"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":[19,383,747],"clock_positions":[19,383,747],"native_values":[125,125,294],"rotation_degrees":6.263736263736264,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,125,294],"beta":{"interval_sums":[60208,62236,60884],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":19,"to_index":383,"sum":60208,"residue":44},{"from_index":383,"to_index":747,"sum":62236,"residue":44},{"from_index":747,"to_index":19,"sum":60884,"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":[19,383],"circle_positions":338,"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":[20,384,748],"clock_positions":[20,384,748],"native_values":[5,174,5],"rotation_degrees":6.593406593406593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,174,5],"beta":{"interval_sums":[60328,62356,61004],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":20,"to_index":384,"sum":60328,"residue":164},{"from_index":384,"to_index":748,"sum":62356,"residue":164},{"from_index":748,"to_index":20,"sum":61004,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[20,384],"circle_positions":338,"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":[21,385,749],"clock_positions":[21,385,749],"native_values":[130,299,299],"rotation_degrees":6.923076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,299,299],"beta":{"interval_sums":[60372,62062,60710],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":21,"to_index":385,"sum":60372,"residue":208},{"from_index":385,"to_index":749,"sum":62062,"residue":208},{"from_index":749,"to_index":21,"sum":60710,"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":[21,385],"circle_positions":338,"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":[22,386,750],"clock_positions":[22,386,750],"native_values":[135,135,304],"rotation_degrees":7.252747252747253,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,135,304],"beta":{"interval_sums":[60536,62226,60536],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":22,"to_index":386,"sum":60536,"residue":34},{"from_index":386,"to_index":750,"sum":62226,"residue":34},{"from_index":750,"to_index":22,"sum":60536,"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":[22,386],"circle_positions":338,"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":[23,387,751],"clock_positions":[23,387,751],"native_values":[265,96,265],"rotation_degrees":7.582417582417582,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,96,265],"beta":{"interval_sums":[60406,62434,60406],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":23,"to_index":387,"sum":60406,"residue":242},{"from_index":387,"to_index":751,"sum":62434,"residue":242},{"from_index":751,"to_index":23,"sum":60406,"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":[23,387],"circle_positions":338,"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":[24,388,752],"clock_positions":[24,388,752],"native_values":[62,231,231],"rotation_degrees":7.912087912087912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,231,231],"beta":{"interval_sums":[60440,62468,60440],"interval_residues":[276,276,276],"display_cycle":[276,276,276],"intervals":[{"from_index":24,"to_index":388,"sum":60440,"residue":276},{"from_index":388,"to_index":752,"sum":62468,"residue":276},{"from_index":752,"to_index":24,"sum":60440,"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":[24,388],"circle_positions":338,"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":[25,389,753],"clock_positions":[25,389,753],"native_values":[327,327,158],"rotation_degrees":8.241758241758241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,327,158],"beta":{"interval_sums":[60344,62372,60344],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":25,"to_index":389,"sum":60344,"residue":180},{"from_index":389,"to_index":753,"sum":62372,"residue":180},{"from_index":753,"to_index":25,"sum":60344,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[25,389],"circle_positions":338,"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":[26,390,754],"clock_positions":[26,390,754],"native_values":[51,220,51],"rotation_degrees":8.571428571428571,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,220,51],"beta":{"interval_sums":[60620,62310,60620],"interval_residues":[118,118,118],"display_cycle":[118,118,118],"intervals":[{"from_index":26,"to_index":390,"sum":60620,"residue":118},{"from_index":390,"to_index":754,"sum":62310,"residue":118},{"from_index":754,"to_index":26,"sum":60620,"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":[26,390],"circle_positions":338,"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":[27,391,755],"clock_positions":[27,391,755],"native_values":[40,209,209],"rotation_degrees":8.901098901098901,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,209,209],"beta":{"interval_sums":[60800,62152,60462],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":27,"to_index":391,"sum":60800,"residue":298},{"from_index":391,"to_index":755,"sum":62152,"residue":298},{"from_index":755,"to_index":27,"sum":60462,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[27,391],"circle_positions":338,"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":[28,392,756],"clock_positions":[28,392,756],"native_values":[91,91,260],"rotation_degrees":9.23076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,91,260],"beta":{"interval_sums":[60918,62270,60242],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":28,"to_index":392,"sum":60918,"residue":78},{"from_index":392,"to_index":756,"sum":62270,"residue":78},{"from_index":756,"to_index":28,"sum":60242,"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":[28,392],"circle_positions":338,"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":[29,393,757],"clock_positions":[29,393,757],"native_values":[131,300,131],"rotation_degrees":9.56043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,300,131],"beta":{"interval_sums":[60878,62230,60202],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":29,"to_index":393,"sum":60878,"residue":38},{"from_index":393,"to_index":757,"sum":62230,"residue":38},{"from_index":757,"to_index":29,"sum":60202,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[29,393],"circle_positions":338,"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":[30,394,758],"clock_positions":[30,394,758],"native_values":[222,53,53],"rotation_degrees":9.89010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,53,53],"beta":{"interval_sums":[60956,62308,60280],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":30,"to_index":394,"sum":60956,"residue":116},{"from_index":394,"to_index":758,"sum":62308,"residue":116},{"from_index":758,"to_index":30,"sum":60280,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[30,394],"circle_positions":338,"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":[31,395,759],"clock_positions":[31,395,759],"native_values":[15,15,184],"rotation_degrees":10.219780219780219,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,15,184],"beta":{"interval_sums":[60994,62346,60318],"interval_residues":[154,154,154],"display_cycle":[154,154,154],"intervals":[{"from_index":31,"to_index":395,"sum":60994,"residue":154},{"from_index":395,"to_index":759,"sum":62346,"residue":154},{"from_index":759,"to_index":31,"sum":60318,"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":[31,395],"circle_positions":338,"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":[32,396,760],"clock_positions":[32,396,760],"native_values":[237,68,237],"rotation_degrees":10.54945054945055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,68,237],"beta":{"interval_sums":[60772,62462,60096],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":32,"to_index":396,"sum":60772,"residue":270},{"from_index":396,"to_index":760,"sum":62462,"residue":270},{"from_index":760,"to_index":32,"sum":60096,"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":[32,396],"circle_positions":338,"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":[33,397,761],"clock_positions":[33,397,761],"native_values":[252,83,83],"rotation_degrees":10.87912087912088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,83,83],"beta":{"interval_sums":[60588,62616,60250],"interval_residues":[86,86,86],"display_cycle":[86,86,86],"intervals":[{"from_index":33,"to_index":397,"sum":60588,"residue":86},{"from_index":397,"to_index":761,"sum":62616,"residue":86},{"from_index":761,"to_index":33,"sum":60250,"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":[33,397],"circle_positions":338,"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":[34,398,762],"clock_positions":[34,398,762],"native_values":[151,151,320],"rotation_degrees":11.208791208791208,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,151,320],"beta":{"interval_sums":[60520,62548,60182],"interval_residues":[18,18,18],"display_cycle":[18,18,18],"intervals":[{"from_index":34,"to_index":398,"sum":60520,"residue":18},{"from_index":398,"to_index":762,"sum":62548,"residue":18},{"from_index":762,"to_index":34,"sum":60182,"residue":18}],"minimal_cycle":[18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[34,398],"circle_positions":338,"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":[35,399,763],"clock_positions":[35,399,763],"native_values":[65,234,65],"rotation_degrees":11.538461538461538,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,234,65],"beta":{"interval_sums":[60606,62634,60268],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":35,"to_index":399,"sum":60606,"residue":104},{"from_index":399,"to_index":763,"sum":62634,"residue":104},{"from_index":763,"to_index":35,"sum":60268,"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":[35,399],"circle_positions":338,"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":[36,400,764],"clock_positions":[36,400,764],"native_values":[216,47,47],"rotation_degrees":11.868131868131869,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,47,47],"beta":{"interval_sums":[60624,62652,60286],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":36,"to_index":400,"sum":60624,"residue":122},{"from_index":400,"to_index":764,"sum":62652,"residue":122},{"from_index":764,"to_index":36,"sum":60286,"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":[36,400],"circle_positions":338,"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":[37,401,765],"clock_positions":[37,401,765],"native_values":[281,281,112],"rotation_degrees":12.197802197802197,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,281,112],"beta":{"interval_sums":[60390,62418,60390],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":37,"to_index":401,"sum":60390,"residue":226},{"from_index":401,"to_index":765,"sum":62418,"residue":226},{"from_index":765,"to_index":37,"sum":60390,"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":[37,401],"circle_positions":338,"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":[38,402,766],"clock_positions":[38,402,766],"native_values":[159,328,159],"rotation_degrees":12.527472527472527,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,328,159],"beta":{"interval_sums":[60512,62202,60512],"interval_residues":[10,10,10],"display_cycle":[10,10,10],"intervals":[{"from_index":38,"to_index":402,"sum":60512,"residue":10},{"from_index":402,"to_index":766,"sum":62202,"residue":10},{"from_index":766,"to_index":38,"sum":60512,"residue":10}],"minimal_cycle":[10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[38,402],"circle_positions":338,"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":[39,403,767],"clock_positions":[39,403,767],"native_values":[102,271,271],"rotation_degrees":12.857142857142858,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,271,271],"beta":{"interval_sums":[60738,62090,60400],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":39,"to_index":403,"sum":60738,"residue":236},{"from_index":403,"to_index":767,"sum":62090,"residue":236},{"from_index":767,"to_index":39,"sum":60400,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[39,403],"circle_positions":338,"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":[40,404,768],"clock_positions":[40,404,768],"native_values":[261,261,92],"rotation_degrees":13.186813186813186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,261,92],"beta":{"interval_sums":[60748,62100,60410],"interval_residues":[246,246,246],"display_cycle":[246,246,246],"intervals":[{"from_index":40,"to_index":404,"sum":60748,"residue":246},{"from_index":404,"to_index":768,"sum":62100,"residue":246},{"from_index":768,"to_index":40,"sum":60410,"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":[40,404],"circle_positions":338,"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":[41,405,769],"clock_positions":[41,405,769],"native_values":[25,194,25],"rotation_degrees":13.516483516483516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,194,25],"beta":{"interval_sums":[60984,61998,60646],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":41,"to_index":405,"sum":60984,"residue":144},{"from_index":405,"to_index":769,"sum":61998,"residue":144},{"from_index":769,"to_index":41,"sum":60646,"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":[41,405],"circle_positions":338,"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":[42,406,770],"clock_positions":[42,406,770],"native_values":[286,117,117],"rotation_degrees":13.846153846153847,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,117,117],"beta":{"interval_sums":[60892,61906,60554],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":42,"to_index":406,"sum":60892,"residue":52},{"from_index":406,"to_index":770,"sum":61906,"residue":52},{"from_index":770,"to_index":42,"sum":60554,"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":[42,406],"circle_positions":338,"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":[43,407,771],"clock_positions":[43,407,771],"native_values":[311,311,142],"rotation_degrees":14.175824175824175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,311,142],"beta":{"interval_sums":[60698,61712,60698],"interval_residues":[196,196,196],"display_cycle":[196,196,196],"intervals":[{"from_index":43,"to_index":407,"sum":60698,"residue":196},{"from_index":407,"to_index":771,"sum":61712,"residue":196},{"from_index":771,"to_index":43,"sum":60698,"residue":196}],"minimal_cycle":[196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[43,407],"circle_positions":338,"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":[44,408,772],"clock_positions":[44,408,772],"native_values":[259,90,259],"rotation_degrees":14.505494505494505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,90,259],"beta":{"interval_sums":[60750,61764,60750],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":44,"to_index":408,"sum":60750,"residue":248},{"from_index":408,"to_index":772,"sum":61764,"residue":248},{"from_index":772,"to_index":44,"sum":60750,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[44,408],"circle_positions":338,"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":[45,409,773],"clock_positions":[45,409,773],"native_values":[232,63,63],"rotation_degrees":14.835164835164836,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,63,63],"beta":{"interval_sums":[60608,61960,60946],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":45,"to_index":409,"sum":60608,"residue":106},{"from_index":409,"to_index":773,"sum":61960,"residue":106},{"from_index":773,"to_index":45,"sum":60946,"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":[45,409],"circle_positions":338,"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":[46,410,774],"clock_positions":[46,410,774],"native_values":[153,153,322],"rotation_degrees":15.164835164835164,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,153,322],"beta":{"interval_sums":[60518,61870,60856],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":46,"to_index":410,"sum":60518,"residue":16},{"from_index":410,"to_index":774,"sum":61870,"residue":16},{"from_index":774,"to_index":46,"sum":60856,"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":[46,410],"circle_positions":338,"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":[47,411,775],"clock_positions":[47,411,775],"native_values":[47,216,47],"rotation_degrees":15.494505494505495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,216,47],"beta":{"interval_sums":[60624,61976,60962],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":47,"to_index":411,"sum":60624,"residue":122},{"from_index":411,"to_index":775,"sum":61976,"residue":122},{"from_index":775,"to_index":47,"sum":60962,"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":[47,411],"circle_positions":338,"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":[48,412,776],"clock_positions":[48,412,776],"native_values":[200,31,31],"rotation_degrees":15.824175824175825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,31,31],"beta":{"interval_sums":[60640,61992,60978],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":48,"to_index":412,"sum":60640,"residue":138},{"from_index":412,"to_index":776,"sum":61992,"residue":138},{"from_index":776,"to_index":48,"sum":60978,"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":[48,412],"circle_positions":338,"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":[49,413,777],"clock_positions":[49,413,777],"native_values":[247,247,78],"rotation_degrees":16.153846153846153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,247,78],"beta":{"interval_sums":[60424,61776,61100],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":49,"to_index":413,"sum":60424,"residue":260},{"from_index":413,"to_index":777,"sum":61776,"residue":260},{"from_index":777,"to_index":49,"sum":61100,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[49,413],"circle_positions":338,"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":[50,414,778],"clock_positions":[50,414,778],"native_values":[109,278,109],"rotation_degrees":16.483516483516482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,278,109],"beta":{"interval_sums":[60562,61576,61238],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":50,"to_index":414,"sum":60562,"residue":60},{"from_index":414,"to_index":778,"sum":61576,"residue":60},{"from_index":778,"to_index":50,"sum":61238,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[50,414],"circle_positions":338,"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":[51,415,779],"clock_positions":[51,415,779],"native_values":[18,187,187],"rotation_degrees":16.813186813186814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,187,187],"beta":{"interval_sums":[60822,61498,61160],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":51,"to_index":415,"sum":60822,"residue":320},{"from_index":415,"to_index":779,"sum":61498,"residue":320},{"from_index":779,"to_index":51,"sum":61160,"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":[51,415],"circle_positions":338,"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":[52,416,780],"clock_positions":[52,416,780],"native_values":[127,127,296],"rotation_degrees":17.142857142857142,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,127,296],"beta":{"interval_sums":[60882,61558,60882],"interval_residues":[42,42,42],"display_cycle":[42,42,42],"intervals":[{"from_index":52,"to_index":416,"sum":60882,"residue":42},{"from_index":416,"to_index":780,"sum":61558,"residue":42},{"from_index":780,"to_index":52,"sum":60882,"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":[52,416],"circle_positions":338,"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":[53,417,781],"clock_positions":[53,417,781],"native_values":[145,314,145],"rotation_degrees":17.47252747252747,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,314,145],"beta":{"interval_sums":[60864,61540,60864],"interval_residues":[24,24,24],"display_cycle":[24,24,24],"intervals":[{"from_index":53,"to_index":417,"sum":60864,"residue":24},{"from_index":417,"to_index":781,"sum":61540,"residue":24},{"from_index":781,"to_index":53,"sum":60864,"residue":24}],"minimal_cycle":[24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[53,417],"circle_positions":338,"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":[54,418,782],"clock_positions":[54,418,782],"native_values":[272,103,103],"rotation_degrees":17.802197802197803,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,103,103],"beta":{"interval_sums":[60906,61582,60906],"interval_residues":[66,66,66],"display_cycle":[66,66,66],"intervals":[{"from_index":54,"to_index":418,"sum":60906,"residue":66},{"from_index":418,"to_index":782,"sum":61582,"residue":66},{"from_index":782,"to_index":54,"sum":60906,"residue":66}],"minimal_cycle":[66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[54,418],"circle_positions":338,"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":[55,419,783],"clock_positions":[55,419,783],"native_values":[79,79,248],"rotation_degrees":18.13186813186813,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,79,248],"beta":{"interval_sums":[60930,61606,60930],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":55,"to_index":419,"sum":60930,"residue":90},{"from_index":419,"to_index":783,"sum":61606,"residue":90},{"from_index":783,"to_index":55,"sum":60930,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[55,419],"circle_positions":338,"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":[56,420,784],"clock_positions":[56,420,784],"native_values":[13,182,13],"rotation_degrees":18.46153846153846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,182,13],"beta":{"interval_sums":[60996,61672,60996],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":56,"to_index":420,"sum":60996,"residue":156},{"from_index":420,"to_index":784,"sum":61672,"residue":156},{"from_index":784,"to_index":56,"sum":60996,"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":[56,420],"circle_positions":338,"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":[57,421,785],"clock_positions":[57,421,785],"native_values":[92,261,261],"rotation_degrees":18.791208791208792,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,261,261],"beta":{"interval_sums":[61086,61424,60748],"interval_residues":[246,246,246],"display_cycle":[246,246,246],"intervals":[{"from_index":57,"to_index":421,"sum":61086,"residue":246},{"from_index":421,"to_index":785,"sum":61424,"residue":246},{"from_index":785,"to_index":57,"sum":60748,"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":[57,421],"circle_positions":338,"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":[58,422,786],"clock_positions":[58,422,786],"native_values":[105,105,274],"rotation_degrees":19.12087912087912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,105,274],"beta":{"interval_sums":[61242,61580,60566],"interval_residues":[64,64,64],"display_cycle":[64,64,64],"intervals":[{"from_index":58,"to_index":422,"sum":61242,"residue":64},{"from_index":422,"to_index":786,"sum":61580,"residue":64},{"from_index":786,"to_index":58,"sum":60566,"residue":64}],"minimal_cycle":[64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[58,422],"circle_positions":338,"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":[59,423,787],"clock_positions":[59,423,787],"native_values":[197,28,197],"rotation_degrees":19.45054945054945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,28,197],"beta":{"interval_sums":[61150,61826,60474],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":59,"to_index":423,"sum":61150,"residue":310},{"from_index":423,"to_index":787,"sum":61826,"residue":310},{"from_index":787,"to_index":59,"sum":60474,"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":[59,423],"circle_positions":338,"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":[60,424,788],"clock_positions":[60,424,788],"native_values":[302,133,133],"rotation_degrees":19.78021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,133,133],"beta":{"interval_sums":[60876,61890,60538],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":60,"to_index":424,"sum":60876,"residue":36},{"from_index":424,"to_index":788,"sum":61890,"residue":36},{"from_index":788,"to_index":60,"sum":60538,"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":[60,424],"circle_positions":338,"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":[61,425,789],"clock_positions":[61,425,789],"native_values":[161,161,330],"rotation_degrees":20.10989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,161,330],"beta":{"interval_sums":[60848,61862,60510],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":61,"to_index":425,"sum":60848,"residue":8},{"from_index":425,"to_index":789,"sum":61862,"residue":8},{"from_index":789,"to_index":61,"sum":60510,"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":[61,425],"circle_positions":338,"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":[62,426,790],"clock_positions":[62,426,790],"native_values":[125,294,125],"rotation_degrees":20.439560439560438,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,294,125],"beta":{"interval_sums":[60884,61898,60546],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":62,"to_index":426,"sum":60884,"residue":44},{"from_index":426,"to_index":790,"sum":61898,"residue":44},{"from_index":790,"to_index":62,"sum":60546,"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":[62,426],"circle_positions":338,"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":[63,427,791],"clock_positions":[63,427,791],"native_values":[286,117,117],"rotation_degrees":20.76923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,117,117],"beta":{"interval_sums":[60892,61906,60554],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":63,"to_index":427,"sum":60892,"residue":52},{"from_index":427,"to_index":791,"sum":61906,"residue":52},{"from_index":791,"to_index":63,"sum":60554,"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":[63,427],"circle_positions":338,"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":[64,428,792],"clock_positions":[64,428,792],"native_values":[73,73,242],"rotation_degrees":21.0989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,73,242],"beta":{"interval_sums":[60936,61950,60598],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":64,"to_index":428,"sum":60936,"residue":96},{"from_index":428,"to_index":792,"sum":61950,"residue":96},{"from_index":792,"to_index":64,"sum":60598,"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":[64,428],"circle_positions":338,"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":[65,429,793],"clock_positions":[65,429,793],"native_values":[21,190,21],"rotation_degrees":21.428571428571427,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,190,21],"beta":{"interval_sums":[60988,62002,60650],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":65,"to_index":429,"sum":60988,"residue":148},{"from_index":429,"to_index":793,"sum":62002,"residue":148},{"from_index":793,"to_index":65,"sum":60650,"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":[65,429],"circle_positions":338,"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":[66,430,794],"clock_positions":[66,430,794],"native_values":[94,263,263],"rotation_degrees":21.75824175824176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[94,263,263],"beta":{"interval_sums":[61084,61760,60408],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":66,"to_index":430,"sum":61084,"residue":244},{"from_index":430,"to_index":794,"sum":61760,"residue":244},{"from_index":794,"to_index":66,"sum":60408,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[66,430],"circle_positions":338,"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":[67,431,795],"clock_positions":[67,431,795],"native_values":[115,115,284],"rotation_degrees":22.087912087912088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,115,284],"beta":{"interval_sums":[61232,61908,60218],"interval_residues":[54,54,54],"display_cycle":[54,54,54],"intervals":[{"from_index":67,"to_index":431,"sum":61232,"residue":54},{"from_index":431,"to_index":795,"sum":61908,"residue":54},{"from_index":795,"to_index":67,"sum":60218,"residue":54}],"minimal_cycle":[54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[67,431],"circle_positions":338,"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":[68,432,796],"clock_positions":[68,432,796],"native_values":[209,40,209],"rotation_degrees":22.417582417582416,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,40,209],"beta":{"interval_sums":[61138,62152,60124],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":68,"to_index":432,"sum":61138,"residue":298},{"from_index":432,"to_index":796,"sum":62152,"residue":298},{"from_index":796,"to_index":68,"sum":60124,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[68,432],"circle_positions":338,"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":[69,433,797],"clock_positions":[69,433,797],"native_values":[324,155,155],"rotation_degrees":22.747252747252748,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,155,155],"beta":{"interval_sums":[60854,62206,60178],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":69,"to_index":433,"sum":60854,"residue":14},{"from_index":433,"to_index":797,"sum":62206,"residue":14},{"from_index":797,"to_index":69,"sum":60178,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[69,433],"circle_positions":338,"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":[70,434,798],"clock_positions":[70,434,798],"native_values":[195,195,26],"rotation_degrees":23.076923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,195,26],"beta":{"interval_sums":[60814,62166,60476],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":70,"to_index":434,"sum":60814,"residue":312},{"from_index":434,"to_index":798,"sum":62166,"residue":312},{"from_index":798,"to_index":70,"sum":60476,"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":[70,434],"circle_positions":338,"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":[71,435,799],"clock_positions":[71,435,799],"native_values":[181,12,181],"rotation_degrees":23.406593406593405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,12,181],"beta":{"interval_sums":[60828,62180,60490],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":71,"to_index":435,"sum":60828,"residue":326},{"from_index":435,"to_index":799,"sum":62180,"residue":326},{"from_index":799,"to_index":71,"sum":60490,"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":[71,435],"circle_positions":338,"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":[72,436,800],"clock_positions":[72,436,800],"native_values":[38,207,207],"rotation_degrees":23.736263736263737,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,207,207],"beta":{"interval_sums":[60802,62154,60464],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":72,"to_index":436,"sum":60802,"residue":300},{"from_index":436,"to_index":800,"sum":62154,"residue":300},{"from_index":800,"to_index":72,"sum":60464,"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":[72,436],"circle_positions":338,"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":[73,437,801],"clock_positions":[73,437,801],"native_values":[219,219,50],"rotation_degrees":24.065934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,219,50],"beta":{"interval_sums":[60790,62142,60452],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":73,"to_index":437,"sum":60790,"residue":288},{"from_index":437,"to_index":801,"sum":62142,"residue":288},{"from_index":801,"to_index":73,"sum":60452,"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":[73,437],"circle_positions":338,"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":[74,438,802],"clock_positions":[74,438,802],"native_values":[257,88,257],"rotation_degrees":24.395604395604394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,88,257],"beta":{"interval_sums":[60752,62104,60414],"interval_residues":[250,250,250],"display_cycle":[250,250,250],"intervals":[{"from_index":74,"to_index":438,"sum":60752,"residue":250},{"from_index":438,"to_index":802,"sum":62104,"residue":250},{"from_index":802,"to_index":74,"sum":60414,"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":[74,438],"circle_positions":338,"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":[75,439,803],"clock_positions":[75,439,803],"native_values":[138,307,307],"rotation_degrees":24.725274725274726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,307,307],"beta":{"interval_sums":[60702,62054,60364],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":75,"to_index":439,"sum":60702,"residue":200},{"from_index":439,"to_index":803,"sum":62054,"residue":200},{"from_index":803,"to_index":75,"sum":60364,"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":[75,439],"circle_positions":338,"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":[76,440,804],"clock_positions":[76,440,804],"native_values":[57,57,226],"rotation_degrees":25.054945054945055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,57,226],"beta":{"interval_sums":[60952,62304,60276],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":76,"to_index":440,"sum":60952,"residue":112},{"from_index":440,"to_index":804,"sum":62304,"residue":112},{"from_index":804,"to_index":76,"sum":60276,"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":[76,440],"circle_positions":338,"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":[77,441,805],"clock_positions":[77,441,805],"native_values":[195,26,195],"rotation_degrees":25.384615384615383,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,26,195],"beta":{"interval_sums":[60814,62504,60138],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":77,"to_index":441,"sum":60814,"residue":312},{"from_index":441,"to_index":805,"sum":62504,"residue":312},{"from_index":805,"to_index":77,"sum":60138,"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":[77,441],"circle_positions":338,"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":[78,442,806],"clock_positions":[78,442,806],"native_values":[252,83,83],"rotation_degrees":25.714285714285715,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,83,83],"beta":{"interval_sums":[60588,62616,60250],"interval_residues":[86,86,86],"display_cycle":[86,86,86],"intervals":[{"from_index":78,"to_index":442,"sum":60588,"residue":86},{"from_index":442,"to_index":806,"sum":62616,"residue":86},{"from_index":806,"to_index":78,"sum":60250,"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":[78,442],"circle_positions":338,"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":[79,443,807],"clock_positions":[79,443,807],"native_values":[109,109,278],"rotation_degrees":26.043956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,109,278],"beta":{"interval_sums":[60562,62590,60224],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":79,"to_index":443,"sum":60562,"residue":60},{"from_index":443,"to_index":807,"sum":62590,"residue":60},{"from_index":807,"to_index":79,"sum":60224,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[79,443],"circle_positions":338,"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":[80,444,808],"clock_positions":[80,444,808],"native_values":[23,192,23],"rotation_degrees":26.373626373626372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,192,23],"beta":{"interval_sums":[60648,62676,60310],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":80,"to_index":444,"sum":60648,"residue":146},{"from_index":444,"to_index":808,"sum":62676,"residue":146},{"from_index":808,"to_index":80,"sum":60310,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[80,444],"circle_positions":338,"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":[81,445,809],"clock_positions":[81,445,809],"native_values":[132,301,301],"rotation_degrees":26.703296703296704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,301,301],"beta":{"interval_sums":[60708,62398,60032],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":81,"to_index":445,"sum":60708,"residue":206},{"from_index":445,"to_index":809,"sum":62398,"residue":206},{"from_index":809,"to_index":81,"sum":60032,"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":[81,445],"circle_positions":338,"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":[82,446,810],"clock_positions":[82,446,810],"native_values":[155,155,324],"rotation_degrees":27.032967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,155,324],"beta":{"interval_sums":[60854,62544,59840],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":82,"to_index":446,"sum":60854,"residue":14},{"from_index":446,"to_index":810,"sum":62544,"residue":14},{"from_index":810,"to_index":82,"sum":59840,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[82,446],"circle_positions":338,"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":[83,447,811],"clock_positions":[83,447,811],"native_values":[287,118,287],"rotation_degrees":27.36263736263736,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,118,287],"beta":{"interval_sums":[60722,62750,59708],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":83,"to_index":447,"sum":60722,"residue":220},{"from_index":447,"to_index":811,"sum":62750,"residue":220},{"from_index":811,"to_index":83,"sum":59708,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[83,447],"circle_positions":338,"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":[84,448,812],"clock_positions":[84,448,812],"native_values":[104,273,273],"rotation_degrees":27.692307692307693,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,273,273],"beta":{"interval_sums":[60736,62764,59722],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":84,"to_index":448,"sum":60736,"residue":234},{"from_index":448,"to_index":812,"sum":62764,"residue":234},{"from_index":812,"to_index":84,"sum":59722,"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":[84,448],"circle_positions":338,"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":[85,449,813],"clock_positions":[85,449,813],"native_values":[53,53,222],"rotation_degrees":28.021978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,53,222],"beta":{"interval_sums":[60956,62984,59604],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":85,"to_index":449,"sum":60956,"residue":116},{"from_index":449,"to_index":813,"sum":62984,"residue":116},{"from_index":813,"to_index":85,"sum":59604,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[85,449],"circle_positions":338,"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":[86,450,814],"clock_positions":[86,450,814],"native_values":[157,326,157],"rotation_degrees":28.35164835164835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,326,157],"beta":{"interval_sums":[60852,62880,59500],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":86,"to_index":450,"sum":60852,"residue":12},{"from_index":450,"to_index":814,"sum":62880,"residue":12},{"from_index":814,"to_index":86,"sum":59500,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[86,450],"circle_positions":338,"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":[87,451,815],"clock_positions":[87,451,815],"native_values":[210,41,41],"rotation_degrees":28.681318681318682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,41,41],"beta":{"interval_sums":[60968,62996,59616],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":87,"to_index":451,"sum":60968,"residue":128},{"from_index":451,"to_index":815,"sum":62996,"residue":128},{"from_index":815,"to_index":87,"sum":59616,"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":[87,451],"circle_positions":338,"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":[88,452,816],"clock_positions":[88,452,816],"native_values":[29,29,198],"rotation_degrees":29.01098901098901,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,29,198],"beta":{"interval_sums":[60980,63008,59628],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":88,"to_index":452,"sum":60980,"residue":140},{"from_index":452,"to_index":816,"sum":63008,"residue":140},{"from_index":816,"to_index":88,"sum":59628,"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":[88,452],"circle_positions":338,"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":[89,453,817],"clock_positions":[89,453,817],"native_values":[239,70,239],"rotation_degrees":29.34065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,70,239],"beta":{"interval_sums":[60770,63136,59418],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":89,"to_index":453,"sum":60770,"residue":268},{"from_index":453,"to_index":817,"sum":63136,"residue":268},{"from_index":817,"to_index":89,"sum":59418,"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":[89,453],"circle_positions":338,"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":[90,454,818],"clock_positions":[90,454,818],"native_values":[268,99,99],"rotation_degrees":29.67032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,99,99],"beta":{"interval_sums":[60572,63276,59558],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":90,"to_index":454,"sum":60572,"residue":70},{"from_index":454,"to_index":818,"sum":63276,"residue":70},{"from_index":818,"to_index":90,"sum":59558,"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":[90,454],"circle_positions":338,"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":[91,455,819],"clock_positions":[91,455,819],"native_values":[169,169,338],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,169,338],"beta":{"interval_sums":[60502,63206,59826],"interval_residues":[0,0,0],"display_cycle":[338,338,338],"intervals":[{"from_index":91,"to_index":455,"sum":60502,"residue":0},{"from_index":455,"to_index":819,"sum":63206,"residue":0},{"from_index":819,"to_index":91,"sum":59826,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[91,455],"circle_positions":338,"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":[92,456,820],"clock_positions":[92,456,820],"native_values":[99,268,99],"rotation_degrees":30.32967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,268,99],"beta":{"interval_sums":[60572,62938,59896],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":92,"to_index":456,"sum":60572,"residue":70},{"from_index":456,"to_index":820,"sum":62938,"residue":70},{"from_index":820,"to_index":92,"sum":59896,"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":[92,456],"circle_positions":338,"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":[93,457,821],"clock_positions":[93,457,821],"native_values":[268,99,99],"rotation_degrees":30.65934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,99,99],"beta":{"interval_sums":[60572,62938,59896],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":93,"to_index":457,"sum":60572,"residue":70},{"from_index":457,"to_index":821,"sum":62938,"residue":70},{"from_index":821,"to_index":93,"sum":59896,"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":[93,457],"circle_positions":338,"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":[94,458,822],"clock_positions":[94,458,822],"native_values":[29,29,198],"rotation_degrees":30.98901098901099,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,29,198],"beta":{"interval_sums":[60642,63008,59966],"interval_residues":[140,140,140],"display_cycle":[140,140,140],"intervals":[{"from_index":94,"to_index":458,"sum":60642,"residue":140},{"from_index":458,"to_index":822,"sum":63008,"residue":140},{"from_index":822,"to_index":94,"sum":59966,"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":[94,458],"circle_positions":338,"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":[95,459,823],"clock_positions":[95,459,823],"native_values":[297,128,297],"rotation_degrees":31.318681318681318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,128,297],"beta":{"interval_sums":[60374,63078,59698],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":95,"to_index":459,"sum":60374,"residue":210},{"from_index":459,"to_index":823,"sum":63078,"residue":210},{"from_index":823,"to_index":95,"sum":59698,"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":[95,459],"circle_positions":338,"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":[96,460,824],"clock_positions":[96,460,824],"native_values":[326,157,157],"rotation_degrees":31.64835164835165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,157,157],"beta":{"interval_sums":[60176,63218,59838],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":96,"to_index":460,"sum":60176,"residue":12},{"from_index":460,"to_index":824,"sum":63218,"residue":12},{"from_index":824,"to_index":96,"sum":59838,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[96,460],"circle_positions":338,"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":[97,461,825],"clock_positions":[97,461,825],"native_values":[285,285,116],"rotation_degrees":31.978021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,285,116],"beta":{"interval_sums":[60048,63090,60048],"interval_residues":[222,222,222],"display_cycle":[222,222,222],"intervals":[{"from_index":97,"to_index":461,"sum":60048,"residue":222},{"from_index":461,"to_index":825,"sum":63090,"residue":222},{"from_index":825,"to_index":97,"sum":60048,"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":[97,461],"circle_positions":338,"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":[98,462,826],"clock_positions":[98,462,826],"native_values":[273,104,273],"rotation_degrees":32.30769230769231,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,104,273],"beta":{"interval_sums":[60060,63102,60060],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":98,"to_index":462,"sum":60060,"residue":234},{"from_index":462,"to_index":826,"sum":63102,"residue":234},{"from_index":826,"to_index":98,"sum":60060,"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":[98,462],"circle_positions":338,"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":[99,463,827],"clock_positions":[99,463,827],"native_values":[220,51,51],"rotation_degrees":32.637362637362635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,51,51],"beta":{"interval_sums":[59944,63324,60282],"interval_residues":[118,118,118],"display_cycle":[118,118,118],"intervals":[{"from_index":99,"to_index":463,"sum":59944,"residue":118},{"from_index":463,"to_index":827,"sum":63324,"residue":118},{"from_index":827,"to_index":99,"sum":60282,"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":[99,463],"circle_positions":338,"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":[100,464,828],"clock_positions":[100,464,828],"native_values":[155,155,324],"rotation_degrees":32.967032967032964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,155,324],"beta":{"interval_sums":[59840,63220,60178],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":100,"to_index":464,"sum":59840,"residue":14},{"from_index":464,"to_index":828,"sum":63220,"residue":14},{"from_index":828,"to_index":100,"sum":60178,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[100,464],"circle_positions":338,"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":[101,465,829],"clock_positions":[101,465,829],"native_values":[37,206,37],"rotation_degrees":33.2967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,206,37],"beta":{"interval_sums":[59958,63338,60296],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":101,"to_index":465,"sum":59958,"residue":132},{"from_index":465,"to_index":829,"sum":63338,"residue":132},{"from_index":829,"to_index":101,"sum":60296,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[101,465],"circle_positions":338,"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":[102,466,830],"clock_positions":[102,466,830],"native_values":[192,23,23],"rotation_degrees":33.62637362637363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,23,23],"beta":{"interval_sums":[59972,63352,60310],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":102,"to_index":466,"sum":59972,"residue":146},{"from_index":466,"to_index":830,"sum":63352,"residue":146},{"from_index":830,"to_index":102,"sum":60310,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[102,466],"circle_positions":338,"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":[103,467,831],"clock_positions":[103,467,831],"native_values":[229,229,60],"rotation_degrees":33.956043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,229,60],"beta":{"interval_sums":[59766,63146,60442],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":103,"to_index":467,"sum":59766,"residue":278},{"from_index":467,"to_index":831,"sum":63146,"residue":278},{"from_index":831,"to_index":103,"sum":60442,"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":[103,467],"circle_positions":338,"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":[104,468,832],"clock_positions":[104,468,832],"native_values":[83,252,83],"rotation_degrees":34.285714285714285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,252,83],"beta":{"interval_sums":[59912,62954,60588],"interval_residues":[86,86,86],"display_cycle":[86,86,86],"intervals":[{"from_index":104,"to_index":468,"sum":59912,"residue":86},{"from_index":468,"to_index":832,"sum":62954,"residue":86},{"from_index":832,"to_index":104,"sum":60588,"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":[104,468],"circle_positions":338,"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":[105,469,833],"clock_positions":[105,469,833],"native_values":[312,143,143],"rotation_degrees":34.61538461538461,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,143,143],"beta":{"interval_sums":[59852,62894,60528],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":105,"to_index":469,"sum":59852,"residue":26},{"from_index":469,"to_index":833,"sum":62894,"residue":26},{"from_index":833,"to_index":105,"sum":60528,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[105,469],"circle_positions":338,"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":[106,470,834],"clock_positions":[106,470,834],"native_values":[57,57,226],"rotation_degrees":34.94505494505494,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,57,226],"beta":{"interval_sums":[59938,62980,60614],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":106,"to_index":470,"sum":59938,"residue":112},{"from_index":470,"to_index":834,"sum":62980,"residue":112},{"from_index":834,"to_index":106,"sum":60614,"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":[106,470],"circle_positions":338,"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":[107,471,835],"clock_positions":[107,471,835],"native_values":[31,200,31],"rotation_degrees":35.27472527472528,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,200,31],"beta":{"interval_sums":[59964,63006,60640],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":107,"to_index":471,"sum":59964,"residue":138},{"from_index":471,"to_index":835,"sum":63006,"residue":138},{"from_index":835,"to_index":107,"sum":60640,"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":[107,471],"circle_positions":338,"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":[108,472,836],"clock_positions":[108,472,836],"native_values":[88,257,257],"rotation_degrees":35.604395604395606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,257,257],"beta":{"interval_sums":[60076,62780,60414],"interval_residues":[250,250,250],"display_cycle":[250,250,250],"intervals":[{"from_index":108,"to_index":472,"sum":60076,"residue":250},{"from_index":472,"to_index":836,"sum":62780,"residue":250},{"from_index":836,"to_index":108,"sum":60414,"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":[108,472],"circle_positions":338,"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":[109,473,837],"clock_positions":[109,473,837],"native_values":[119,119,288],"rotation_degrees":35.934065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,119,288],"beta":{"interval_sums":[60214,62918,60214],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":109,"to_index":473,"sum":60214,"residue":50},{"from_index":473,"to_index":837,"sum":62918,"residue":50},{"from_index":837,"to_index":109,"sum":60214,"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":[109,473],"circle_positions":338,"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":[110,474,838],"clock_positions":[110,474,838],"native_values":[207,38,207],"rotation_degrees":36.26373626373626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,38,207],"beta":{"interval_sums":[60126,63168,60126],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":110,"to_index":474,"sum":60126,"residue":300},{"from_index":474,"to_index":838,"sum":63168,"residue":300},{"from_index":838,"to_index":110,"sum":60126,"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":[110,474],"circle_positions":338,"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":[111,475,839],"clock_positions":[111,475,839],"native_values":[326,157,157],"rotation_degrees":36.59340659340659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,157,157],"beta":{"interval_sums":[59838,63218,60176],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":111,"to_index":475,"sum":59838,"residue":12},{"from_index":475,"to_index":839,"sum":63218,"residue":12},{"from_index":839,"to_index":111,"sum":60176,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[111,475],"circle_positions":338,"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":[112,476,840],"clock_positions":[112,476,840],"native_values":[195,195,26],"rotation_degrees":36.92307692307692,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,195,26],"beta":{"interval_sums":[59800,63180,60476],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":112,"to_index":476,"sum":59800,"residue":312},{"from_index":476,"to_index":840,"sum":63180,"residue":312},{"from_index":840,"to_index":112,"sum":60476,"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":[112,476],"circle_positions":338,"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":[113,477,841],"clock_positions":[113,477,841],"native_values":[183,14,183],"rotation_degrees":37.252747252747255,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,14,183],"beta":{"interval_sums":[59812,63192,60488],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":113,"to_index":477,"sum":59812,"residue":324},{"from_index":477,"to_index":841,"sum":63192,"residue":324},{"from_index":841,"to_index":113,"sum":60488,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[113,477],"circle_positions":338,"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":[114,478,842],"clock_positions":[114,478,842],"native_values":[40,209,209],"rotation_degrees":37.582417582417584,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,209,209],"beta":{"interval_sums":[59786,63166,60462],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":114,"to_index":478,"sum":59786,"residue":298},{"from_index":478,"to_index":842,"sum":63166,"residue":298},{"from_index":842,"to_index":114,"sum":60462,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[114,478],"circle_positions":338,"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":[115,479,843],"clock_positions":[115,479,843],"native_values":[223,223,54],"rotation_degrees":37.91208791208791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,223,54],"beta":{"interval_sums":[59772,63152,60448],"interval_residues":[284,284,284],"display_cycle":[284,284,284],"intervals":[{"from_index":115,"to_index":479,"sum":59772,"residue":284},{"from_index":479,"to_index":843,"sum":63152,"residue":284},{"from_index":843,"to_index":115,"sum":60448,"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":[115,479],"circle_positions":338,"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":[116,480,844],"clock_positions":[116,480,844],"native_values":[263,94,263],"rotation_degrees":38.24175824175824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,94,263],"beta":{"interval_sums":[59732,63112,60408],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":116,"to_index":480,"sum":59732,"residue":244},{"from_index":480,"to_index":844,"sum":63112,"residue":244},{"from_index":844,"to_index":116,"sum":60408,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[116,480],"circle_positions":338,"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":[117,481,845],"clock_positions":[117,481,845],"native_values":[148,317,317],"rotation_degrees":38.57142857142857,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,317,317],"beta":{"interval_sums":[59678,63058,60354],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":117,"to_index":481,"sum":59678,"residue":190},{"from_index":481,"to_index":845,"sum":63058,"residue":190},{"from_index":845,"to_index":117,"sum":60354,"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":[117,481],"circle_positions":338,"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":[118,482,846],"clock_positions":[118,482,846],"native_values":[73,73,242],"rotation_degrees":38.9010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,73,242],"beta":{"interval_sums":[59922,63302,60260],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":118,"to_index":482,"sum":59922,"residue":96},{"from_index":482,"to_index":846,"sum":63302,"residue":96},{"from_index":846,"to_index":118,"sum":60260,"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":[118,482],"circle_positions":338,"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":[119,483,847],"clock_positions":[119,483,847],"native_values":[221,52,221],"rotation_degrees":39.23076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,52,221],"beta":{"interval_sums":[59774,63492,60112],"interval_residues":[286,286,286],"display_cycle":[286,286,286],"intervals":[{"from_index":119,"to_index":483,"sum":59774,"residue":286},{"from_index":483,"to_index":847,"sum":63492,"residue":286},{"from_index":847,"to_index":119,"sum":60112,"residue":286}],"minimal_cycle":[286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[119,483],"circle_positions":338,"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":[120,484,848],"clock_positions":[120,484,848],"native_values":[294,125,125],"rotation_degrees":39.56043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,125,125],"beta":{"interval_sums":[59532,63588,60208],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":120,"to_index":484,"sum":59532,"residue":44},{"from_index":484,"to_index":848,"sum":63588,"residue":44},{"from_index":848,"to_index":120,"sum":60208,"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":[120,484],"circle_positions":338,"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":[121,485,849],"clock_positions":[121,485,849],"native_values":[177,177,8],"rotation_degrees":39.89010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,177,8],"beta":{"interval_sums":[59480,63536,60494],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":121,"to_index":485,"sum":59480,"residue":330},{"from_index":485,"to_index":849,"sum":63536,"residue":330},{"from_index":849,"to_index":121,"sum":60494,"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":[121,485],"circle_positions":338,"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":[122,486,850],"clock_positions":[122,486,850],"native_values":[133,302,133],"rotation_degrees":40.21978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,302,133],"beta":{"interval_sums":[59524,63242,60538],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":122,"to_index":486,"sum":59524,"residue":36},{"from_index":486,"to_index":850,"sum":63242,"residue":36},{"from_index":850,"to_index":122,"sum":60538,"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":[122,486],"circle_positions":338,"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":[123,487,851],"clock_positions":[123,487,851],"native_values":[310,141,141],"rotation_degrees":40.54945054945055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,141,141],"beta":{"interval_sums":[59516,63234,60530],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":123,"to_index":487,"sum":59516,"residue":28},{"from_index":487,"to_index":851,"sum":63234,"residue":28},{"from_index":851,"to_index":123,"sum":60530,"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":[123,487],"circle_positions":338,"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":[124,488,852],"clock_positions":[124,488,852],"native_values":[105,105,274],"rotation_degrees":40.879120879120876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,105,274],"beta":{"interval_sums":[59552,63270,60566],"interval_residues":[64,64,64],"display_cycle":[64,64,64],"intervals":[{"from_index":124,"to_index":488,"sum":59552,"residue":64},{"from_index":488,"to_index":852,"sum":63270,"residue":64},{"from_index":852,"to_index":124,"sum":60566,"residue":64}],"minimal_cycle":[64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[124,488],"circle_positions":338,"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":[125,489,853],"clock_positions":[125,489,853],"native_values":[77,246,77],"rotation_degrees":41.20879120879121,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,246,77],"beta":{"interval_sums":[59580,63298,60594],"interval_residues":[92,92,92],"display_cycle":[92,92,92],"intervals":[{"from_index":125,"to_index":489,"sum":59580,"residue":92},{"from_index":489,"to_index":853,"sum":63298,"residue":92},{"from_index":853,"to_index":125,"sum":60594,"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":[125,489],"circle_positions":338,"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":[126,490,854],"clock_positions":[126,490,854],"native_values":[182,13,13],"rotation_degrees":41.53846153846154,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,13,13],"beta":{"interval_sums":[59644,63362,60658],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":126,"to_index":490,"sum":59644,"residue":156},{"from_index":490,"to_index":854,"sum":63362,"residue":156},{"from_index":854,"to_index":126,"sum":60658,"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":[126,490],"circle_positions":338,"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":[127,491,855],"clock_positions":[127,491,855],"native_values":[259,259,90],"rotation_degrees":41.86813186813187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,259,90],"beta":{"interval_sums":[59398,63116,60750],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":127,"to_index":491,"sum":59398,"residue":248},{"from_index":491,"to_index":855,"sum":63116,"residue":248},{"from_index":855,"to_index":127,"sum":60750,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[127,491],"circle_positions":338,"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":[128,492,856],"clock_positions":[128,492,856],"native_values":[103,272,103],"rotation_degrees":42.1978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,272,103],"beta":{"interval_sums":[59554,62934,60906],"interval_residues":[66,66,66],"display_cycle":[66,66,66],"intervals":[{"from_index":128,"to_index":492,"sum":59554,"residue":66},{"from_index":492,"to_index":856,"sum":62934,"residue":66},{"from_index":856,"to_index":128,"sum":60906,"residue":66}],"minimal_cycle":[66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[128,492],"circle_positions":338,"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":[129,493,857],"clock_positions":[129,493,857],"native_values":[24,193,193],"rotation_degrees":42.527472527472526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[24,193,193],"beta":{"interval_sums":[59802,62844,60816],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":129,"to_index":493,"sum":59802,"residue":314},{"from_index":493,"to_index":857,"sum":62844,"residue":314},{"from_index":857,"to_index":129,"sum":60816,"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":[129,493],"circle_positions":338,"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":[130,494,858],"clock_positions":[130,494,858],"native_values":[127,127,296],"rotation_degrees":42.857142857142854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,127,296],"beta":{"interval_sums":[59868,62910,60544],"interval_residues":[42,42,42],"display_cycle":[42,42,42],"intervals":[{"from_index":130,"to_index":494,"sum":59868,"residue":42},{"from_index":494,"to_index":858,"sum":62910,"residue":42},{"from_index":858,"to_index":130,"sum":60544,"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":[130,494],"circle_positions":338,"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":[131,495,859],"clock_positions":[131,495,859],"native_values":[151,320,151],"rotation_degrees":43.18681318681319,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,320,151],"beta":{"interval_sums":[59844,62886,60520],"interval_residues":[18,18,18],"display_cycle":[18,18,18],"intervals":[{"from_index":131,"to_index":495,"sum":59844,"residue":18},{"from_index":495,"to_index":859,"sum":62886,"residue":18},{"from_index":859,"to_index":131,"sum":60520,"residue":18}],"minimal_cycle":[18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[131,495],"circle_positions":338,"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":[132,496,860],"clock_positions":[132,496,860],"native_values":[278,109,109],"rotation_degrees":43.51648351648352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,109,109],"beta":{"interval_sums":[59886,62928,60562],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":132,"to_index":496,"sum":59886,"residue":60},{"from_index":496,"to_index":860,"sum":62928,"residue":60},{"from_index":860,"to_index":132,"sum":60562,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[132,496],"circle_positions":338,"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":[133,497,861],"clock_positions":[133,497,861],"native_values":[91,91,260],"rotation_degrees":43.84615384615385,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,91,260],"beta":{"interval_sums":[59904,62946,60580],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":133,"to_index":497,"sum":59904,"residue":78},{"from_index":497,"to_index":861,"sum":62946,"residue":78},{"from_index":861,"to_index":133,"sum":60580,"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":[133,497],"circle_positions":338,"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":[134,498,862],"clock_positions":[134,498,862],"native_values":[31,200,31],"rotation_degrees":44.175824175824175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,200,31],"beta":{"interval_sums":[59964,63006,60640],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":134,"to_index":498,"sum":59964,"residue":138},{"from_index":498,"to_index":862,"sum":63006,"residue":138},{"from_index":862,"to_index":134,"sum":60640,"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":[134,498],"circle_positions":338,"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":[135,499,863],"clock_positions":[135,499,863],"native_values":[122,291,291],"rotation_degrees":44.505494505494504,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,291,291],"beta":{"interval_sums":[60042,62746,60380],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":135,"to_index":499,"sum":60042,"residue":216},{"from_index":499,"to_index":863,"sum":62746,"residue":216},{"from_index":863,"to_index":135,"sum":60380,"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":[135,499],"circle_positions":338,"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":[136,500,864],"clock_positions":[136,500,864],"native_values":[153,153,322],"rotation_degrees":44.83516483516483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,153,322],"beta":{"interval_sums":[60180,62884,60180],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":136,"to_index":500,"sum":60180,"residue":16},{"from_index":500,"to_index":864,"sum":62884,"residue":16},{"from_index":864,"to_index":136,"sum":60180,"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":[136,500],"circle_positions":338,"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":[137,501,865],"clock_positions":[137,501,865],"native_values":[275,106,275],"rotation_degrees":45.16483516483517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,106,275],"beta":{"interval_sums":[60058,63100,60058],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":137,"to_index":501,"sum":60058,"residue":232},{"from_index":501,"to_index":865,"sum":63100,"residue":232},{"from_index":865,"to_index":137,"sum":60058,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[137,501],"circle_positions":338,"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":[138,502,866],"clock_positions":[138,502,866],"native_values":[90,259,259],"rotation_degrees":45.494505494505496,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,259,259],"beta":{"interval_sums":[60074,63116,60074],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":138,"to_index":502,"sum":60074,"residue":248},{"from_index":502,"to_index":866,"sum":63116,"residue":248},{"from_index":866,"to_index":138,"sum":60074,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[138,502],"circle_positions":338,"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":[139,503,867],"clock_positions":[139,503,867],"native_values":[27,27,196],"rotation_degrees":45.824175824175825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,27,196],"beta":{"interval_sums":[60306,63348,59968],"interval_residues":[142,142,142],"display_cycle":[142,142,142],"intervals":[{"from_index":139,"to_index":503,"sum":60306,"residue":142},{"from_index":503,"to_index":867,"sum":63348,"residue":142},{"from_index":867,"to_index":139,"sum":59968,"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":[139,503],"circle_positions":338,"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":[140,504,868],"clock_positions":[140,504,868],"native_values":[117,286,117],"rotation_degrees":46.15384615384615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,286,117],"beta":{"interval_sums":[60216,63258,59878],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":140,"to_index":504,"sum":60216,"residue":52},{"from_index":504,"to_index":868,"sum":63258,"residue":52},{"from_index":868,"to_index":140,"sum":59878,"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":[140,504],"circle_positions":338,"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":[141,505,869],"clock_positions":[141,505,869],"native_values":[144,313,313],"rotation_degrees":46.48351648351648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,313,313],"beta":{"interval_sums":[60358,63062,59682],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":141,"to_index":505,"sum":60358,"residue":194},{"from_index":505,"to_index":869,"sum":63062,"residue":194},{"from_index":869,"to_index":141,"sum":59682,"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":[141,505],"circle_positions":338,"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":[142,506,870],"clock_positions":[142,506,870],"native_values":[261,261,92],"rotation_degrees":46.81318681318681,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,261,92],"beta":{"interval_sums":[60410,63114,59734],"interval_residues":[246,246,246],"display_cycle":[246,246,246],"intervals":[{"from_index":142,"to_index":506,"sum":60410,"residue":246},{"from_index":506,"to_index":870,"sum":63114,"residue":246},{"from_index":870,"to_index":142,"sum":59734,"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":[142,506],"circle_positions":338,"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":[143,507,871],"clock_positions":[143,507,871],"native_values":[67,236,67],"rotation_degrees":47.142857142857146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,236,67],"beta":{"interval_sums":[60604,62970,59928],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":143,"to_index":507,"sum":60604,"residue":102},{"from_index":507,"to_index":871,"sum":62970,"residue":102},{"from_index":871,"to_index":143,"sum":59928,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[143,507],"circle_positions":338,"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":[144,508,872],"clock_positions":[144,508,872],"native_values":[328,159,159],"rotation_degrees":47.472527472527474,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[328,159,159],"beta":{"interval_sums":[60512,62878,59836],"interval_residues":[10,10,10],"display_cycle":[10,10,10],"intervals":[{"from_index":144,"to_index":508,"sum":60512,"residue":10},{"from_index":508,"to_index":872,"sum":62878,"residue":10},{"from_index":872,"to_index":144,"sum":59836,"residue":10}],"minimal_cycle":[10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[144,508],"circle_positions":338,"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":[145,509,873],"clock_positions":[145,509,873],"native_values":[57,57,226],"rotation_degrees":47.8021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,57,226],"beta":{"interval_sums":[60614,62980,59938],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":145,"to_index":509,"sum":60614,"residue":112},{"from_index":509,"to_index":873,"sum":62980,"residue":112},{"from_index":873,"to_index":145,"sum":59938,"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":[145,509],"circle_positions":338,"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":[146,510,874],"clock_positions":[146,510,874],"native_values":[47,216,47],"rotation_degrees":48.13186813186813,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,216,47],"beta":{"interval_sums":[60624,62990,59948],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":146,"to_index":510,"sum":60624,"residue":122},{"from_index":510,"to_index":874,"sum":62990,"residue":122},{"from_index":874,"to_index":146,"sum":59948,"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":[146,510],"circle_positions":338,"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":[147,511,875],"clock_positions":[147,511,875],"native_values":[104,273,273],"rotation_degrees":48.46153846153846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,273,273],"beta":{"interval_sums":[60736,62764,59722],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":147,"to_index":511,"sum":60736,"residue":234},{"from_index":511,"to_index":875,"sum":62764,"residue":234},{"from_index":875,"to_index":147,"sum":59722,"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":[147,511],"circle_positions":338,"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":[148,512,876],"clock_positions":[148,512,876],"native_values":[151,151,320],"rotation_degrees":48.79120879120879,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,151,320],"beta":{"interval_sums":[60858,62886,59506],"interval_residues":[18,18,18],"display_cycle":[18,18,18],"intervals":[{"from_index":148,"to_index":512,"sum":60858,"residue":18},{"from_index":512,"to_index":876,"sum":62886,"residue":18},{"from_index":876,"to_index":148,"sum":59506,"residue":18}],"minimal_cycle":[18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[148,512],"circle_positions":338,"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":[149,513,877],"clock_positions":[149,513,877],"native_values":[255,86,255],"rotation_degrees":49.120879120879124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,86,255],"beta":{"interval_sums":[60754,63120,59402],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":149,"to_index":513,"sum":60754,"residue":252},{"from_index":513,"to_index":877,"sum":63120,"residue":252},{"from_index":877,"to_index":149,"sum":59402,"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":[149,513],"circle_positions":338,"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":[150,514,878],"clock_positions":[150,514,878],"native_values":[68,237,237],"rotation_degrees":49.45054945054945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,237,237],"beta":{"interval_sums":[60772,63138,59420],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":150,"to_index":514,"sum":60772,"residue":270},{"from_index":514,"to_index":878,"sum":63138,"residue":270},{"from_index":878,"to_index":150,"sum":59420,"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":[150,514],"circle_positions":338,"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":[151,515,879],"clock_positions":[151,515,879],"native_values":[323,323,154],"rotation_degrees":49.78021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,323,154],"beta":{"interval_sums":[60686,63052,59334],"interval_residues":[184,184,184],"display_cycle":[184,184,184],"intervals":[{"from_index":151,"to_index":515,"sum":60686,"residue":184},{"from_index":515,"to_index":879,"sum":63052,"residue":184},{"from_index":879,"to_index":151,"sum":59334,"residue":184}],"minimal_cycle":[184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[151,515],"circle_positions":338,"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":[152,516,880],"clock_positions":[152,516,880],"native_values":[53,222,53],"rotation_degrees":50.10989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,222,53],"beta":{"interval_sums":[60956,62984,59604],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":152,"to_index":516,"sum":60956,"residue":116},{"from_index":516,"to_index":880,"sum":62984,"residue":116},{"from_index":880,"to_index":152,"sum":59604,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[152,516],"circle_positions":338,"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":[153,517,881],"clock_positions":[153,517,881],"native_values":[38,207,207],"rotation_degrees":50.43956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,207,207],"beta":{"interval_sums":[61140,62830,59450],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":153,"to_index":517,"sum":61140,"residue":300},{"from_index":517,"to_index":881,"sum":62830,"residue":300},{"from_index":881,"to_index":153,"sum":59450,"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":[153,517],"circle_positions":338,"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":[154,518,882],"clock_positions":[154,518,882],"native_values":[91,91,260],"rotation_degrees":50.76923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,91,260],"beta":{"interval_sums":[61256,62946,59228],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":154,"to_index":518,"sum":61256,"residue":78},{"from_index":518,"to_index":882,"sum":62946,"residue":78},{"from_index":882,"to_index":154,"sum":59228,"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":[154,518],"circle_positions":338,"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":[155,519,883],"clock_positions":[155,519,883],"native_values":[129,298,129],"rotation_degrees":51.0989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,298,129],"beta":{"interval_sums":[61218,62908,59190],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":155,"to_index":519,"sum":61218,"residue":40},{"from_index":519,"to_index":883,"sum":62908,"residue":40},{"from_index":883,"to_index":155,"sum":59190,"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":[155,519],"circle_positions":338,"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":[156,520,884],"clock_positions":[156,520,884],"native_values":[220,51,51],"rotation_degrees":51.42857142857143,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,51,51],"beta":{"interval_sums":[61296,62986,59268],"interval_residues":[118,118,118],"display_cycle":[118,118,118],"intervals":[{"from_index":156,"to_index":520,"sum":61296,"residue":118},{"from_index":520,"to_index":884,"sum":62986,"residue":118},{"from_index":884,"to_index":156,"sum":59268,"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":[156,520],"circle_positions":338,"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":[157,521,885],"clock_positions":[157,521,885],"native_values":[11,11,180],"rotation_degrees":51.75824175824176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,11,180],"beta":{"interval_sums":[61336,63026,59308],"interval_residues":[158,158,158],"display_cycle":[158,158,158],"intervals":[{"from_index":157,"to_index":521,"sum":61336,"residue":158},{"from_index":521,"to_index":885,"sum":63026,"residue":158},{"from_index":885,"to_index":157,"sum":59308,"residue":158}],"minimal_cycle":[158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[157,521],"circle_positions":338,"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":[158,522,886],"clock_positions":[158,522,886],"native_values":[231,62,231],"rotation_degrees":52.08791208791209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,62,231],"beta":{"interval_sums":[61116,63144,59088],"interval_residues":[276,276,276],"display_cycle":[276,276,276],"intervals":[{"from_index":158,"to_index":522,"sum":61116,"residue":276},{"from_index":522,"to_index":886,"sum":63144,"residue":276},{"from_index":886,"to_index":158,"sum":59088,"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":[158,522],"circle_positions":338,"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":[159,523,887],"clock_positions":[159,523,887],"native_values":[242,73,73],"rotation_degrees":52.417582417582416,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[242,73,73],"beta":{"interval_sums":[60936,63302,59246],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":159,"to_index":523,"sum":60936,"residue":96},{"from_index":523,"to_index":887,"sum":63302,"residue":96},{"from_index":887,"to_index":159,"sum":59246,"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":[159,523],"circle_positions":338,"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":[160,524,888],"clock_positions":[160,524,888],"native_values":[135,135,304],"rotation_degrees":52.747252747252745,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,135,304],"beta":{"interval_sums":[60874,63240,59184],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":160,"to_index":524,"sum":60874,"residue":34},{"from_index":524,"to_index":888,"sum":63240,"residue":34},{"from_index":888,"to_index":160,"sum":59184,"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":[160,524],"circle_positions":338,"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":[161,525,889],"clock_positions":[161,525,889],"native_values":[39,208,39],"rotation_degrees":53.07692307692308,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,208,39],"beta":{"interval_sums":[60970,63336,59280],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":161,"to_index":525,"sum":60970,"residue":130},{"from_index":525,"to_index":889,"sum":63336,"residue":130},{"from_index":889,"to_index":161,"sum":59280,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[161,525],"circle_positions":338,"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":[162,526,890],"clock_positions":[162,526,890],"native_values":[174,5,5],"rotation_degrees":53.40659340659341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,5,5],"beta":{"interval_sums":[61004,63370,59314],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":162,"to_index":526,"sum":61004,"residue":164},{"from_index":526,"to_index":890,"sum":63370,"residue":164},{"from_index":890,"to_index":162,"sum":59314,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[162,526],"circle_positions":338,"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":[163,527,891],"clock_positions":[163,527,891],"native_values":[213,213,44],"rotation_degrees":53.73626373626374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,213,44],"beta":{"interval_sums":[60796,63162,59444],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":163,"to_index":527,"sum":60796,"residue":294},{"from_index":527,"to_index":891,"sum":63162,"residue":294},{"from_index":891,"to_index":163,"sum":59444,"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":[163,527],"circle_positions":338,"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":[164,528,892],"clock_positions":[164,528,892],"native_values":[49,218,49],"rotation_degrees":54.065934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,218,49],"beta":{"interval_sums":[60960,62988,59608],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":164,"to_index":528,"sum":60960,"residue":120},{"from_index":528,"to_index":892,"sum":62988,"residue":120},{"from_index":892,"to_index":164,"sum":59608,"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":[164,528],"circle_positions":338,"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":[165,529,893],"clock_positions":[165,529,893],"native_values":[262,93,93],"rotation_degrees":54.395604395604394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,93,93],"beta":{"interval_sums":[60916,62944,59564],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":165,"to_index":529,"sum":60916,"residue":76},{"from_index":529,"to_index":893,"sum":62944,"residue":76},{"from_index":893,"to_index":165,"sum":59564,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[165,529],"circle_positions":338,"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":[166,530,894],"clock_positions":[166,530,894],"native_values":[311,311,142],"rotation_degrees":54.72527472527472,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,311,142],"beta":{"interval_sums":[60698,62726,59684],"interval_residues":[196,196,196],"display_cycle":[196,196,196],"intervals":[{"from_index":166,"to_index":530,"sum":60698,"residue":196},{"from_index":530,"to_index":894,"sum":62726,"residue":196},{"from_index":894,"to_index":166,"sum":59684,"residue":196}],"minimal_cycle":[196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[166,530],"circle_positions":338,"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":[167,531,895],"clock_positions":[167,531,895],"native_values":[235,66,235],"rotation_degrees":55.05494505494506,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,66,235],"beta":{"interval_sums":[60774,62802,59760],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":167,"to_index":531,"sum":60774,"residue":272},{"from_index":531,"to_index":895,"sum":62802,"residue":272},{"from_index":895,"to_index":167,"sum":59760,"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":[167,531],"circle_positions":338,"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":[168,532,896],"clock_positions":[168,532,896],"native_values":[208,39,39],"rotation_degrees":55.38461538461539,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,39,39],"beta":{"interval_sums":[60632,62998,59956],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":168,"to_index":532,"sum":60632,"residue":130},{"from_index":532,"to_index":896,"sum":62998,"residue":130},{"from_index":896,"to_index":168,"sum":59956,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[168,532],"circle_positions":338,"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":[169,533,897],"clock_positions":[169,533,897],"native_values":[105,105,274],"rotation_degrees":55.714285714285715,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,105,274],"beta":{"interval_sums":[60566,62932,59890],"interval_residues":[64,64,64],"display_cycle":[64,64,64],"intervals":[{"from_index":169,"to_index":533,"sum":60566,"residue":64},{"from_index":533,"to_index":897,"sum":62932,"residue":64},{"from_index":897,"to_index":169,"sum":59890,"residue":64}],"minimal_cycle":[64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[169,533],"circle_positions":338,"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":[170,534,898],"clock_positions":[170,534,898],"native_values":[313,144,313],"rotation_degrees":56.043956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,144,313],"beta":{"interval_sums":[60358,63062,59682],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":170,"to_index":534,"sum":60358,"residue":194},{"from_index":534,"to_index":898,"sum":63062,"residue":194},{"from_index":898,"to_index":170,"sum":59682,"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":[170,534],"circle_positions":338,"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":[171,535,899],"clock_positions":[171,535,899],"native_values":[80,249,249],"rotation_degrees":56.37362637362637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,249,249],"beta":{"interval_sums":[60422,63126,59746],"interval_residues":[258,258,258],"display_cycle":[258,258,258],"intervals":[{"from_index":171,"to_index":535,"sum":60422,"residue":258},{"from_index":535,"to_index":899,"sum":63126,"residue":258},{"from_index":899,"to_index":171,"sum":59746,"residue":258}],"minimal_cycle":[258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[171,535],"circle_positions":338,"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":[172,536,900],"clock_positions":[172,536,900],"native_values":[55,55,224],"rotation_degrees":56.7032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,224],"beta":{"interval_sums":[60616,63320,59602],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":172,"to_index":536,"sum":60616,"residue":114},{"from_index":536,"to_index":900,"sum":63320,"residue":114},{"from_index":900,"to_index":172,"sum":59602,"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":[172,536],"circle_positions":338,"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":[173,537,901],"clock_positions":[173,537,901],"native_values":[135,304,135],"rotation_degrees":57.032967032967036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,304,135],"beta":{"interval_sums":[60536,63240,59522],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":173,"to_index":537,"sum":60536,"residue":34},{"from_index":537,"to_index":901,"sum":63240,"residue":34},{"from_index":901,"to_index":173,"sum":59522,"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":[173,537],"circle_positions":338,"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":[174,538,902],"clock_positions":[174,538,902],"native_values":[190,21,21],"rotation_degrees":57.362637362637365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,21,21],"beta":{"interval_sums":[60650,63354,59636],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":174,"to_index":538,"sum":60650,"residue":148},{"from_index":538,"to_index":902,"sum":63354,"residue":148},{"from_index":902,"to_index":174,"sum":59636,"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":[174,538],"circle_positions":338,"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":[175,539,903],"clock_positions":[175,539,903],"native_values":[325,325,156],"rotation_degrees":57.69230769230769,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,156],"beta":{"interval_sums":[60346,63050,59670],"interval_residues":[182,182,182],"display_cycle":[182,182,182],"intervals":[{"from_index":175,"to_index":539,"sum":60346,"residue":182},{"from_index":539,"to_index":903,"sum":63050,"residue":182},{"from_index":903,"to_index":175,"sum":59670,"residue":182}],"minimal_cycle":[182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[175,539],"circle_positions":338,"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":[176,540,904],"clock_positions":[176,540,904],"native_values":[177,8,177],"rotation_degrees":58.02197802197802,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,8,177],"beta":{"interval_sums":[60494,63198,59818],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":176,"to_index":540,"sum":60494,"residue":330},{"from_index":540,"to_index":904,"sum":63198,"residue":330},{"from_index":904,"to_index":176,"sum":59818,"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":[176,540],"circle_positions":338,"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":[177,541,905],"clock_positions":[177,541,905],"native_values":[164,333,333],"rotation_degrees":58.35164835164835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,333,333],"beta":{"interval_sums":[60338,63042,59662],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":177,"to_index":541,"sum":60338,"residue":174},{"from_index":541,"to_index":905,"sum":63042,"residue":174},{"from_index":905,"to_index":177,"sum":59662,"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":[177,541],"circle_positions":338,"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":[178,542,906],"clock_positions":[178,542,906],"native_values":[3,3,172],"rotation_degrees":58.68131868131868,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,172],"beta":{"interval_sums":[60668,63372,59654],"interval_residues":[166,166,166],"display_cycle":[166,166,166],"intervals":[{"from_index":178,"to_index":542,"sum":60668,"residue":166},{"from_index":542,"to_index":906,"sum":63372,"residue":166},{"from_index":906,"to_index":178,"sum":59654,"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":[178,542],"circle_positions":338,"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":[179,543,907],"clock_positions":[179,543,907],"native_values":[167,336,167],"rotation_degrees":59.010989010989015,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,336,167],"beta":{"interval_sums":[60504,63208,59490],"interval_residues":[2,2,2],"display_cycle":[2,2,2],"intervals":[{"from_index":179,"to_index":543,"sum":60504,"residue":2},{"from_index":543,"to_index":907,"sum":63208,"residue":2},{"from_index":907,"to_index":179,"sum":59490,"residue":2}],"minimal_cycle":[2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[179,543],"circle_positions":338,"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":[180,544,908],"clock_positions":[180,544,908],"native_values":[170,1,1],"rotation_degrees":59.34065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,1,1],"beta":{"interval_sums":[60670,63374,59656],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":180,"to_index":544,"sum":60670,"residue":168},{"from_index":544,"to_index":908,"sum":63374,"residue":168},{"from_index":908,"to_index":180,"sum":59656,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[180,544],"circle_positions":338,"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":[181,545,909],"clock_positions":[181,545,909],"native_values":[337,337,168],"rotation_degrees":59.67032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,168],"beta":{"interval_sums":[60334,63038,59658],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":181,"to_index":545,"sum":60334,"residue":170},{"from_index":545,"to_index":909,"sum":63038,"residue":170},{"from_index":909,"to_index":181,"sum":59658,"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":[181,545],"circle_positions":338,"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":[182,546,910],"clock_positions":[182,546,910],"native_values":[169,338,169],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,338,169],"beta":{"interval_sums":[60502,63206,59826],"interval_residues":[0,0,0],"display_cycle":[338,338,338],"intervals":[{"from_index":182,"to_index":546,"sum":60502,"residue":0},{"from_index":546,"to_index":910,"sum":63206,"residue":0},{"from_index":910,"to_index":182,"sum":59826,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[182,546],"circle_positions":338,"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":[183,547,911],"clock_positions":[183,547,911],"native_values":[168,337,337],"rotation_degrees":60.32967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,337,337],"beta":{"interval_sums":[60334,63038,59658],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":183,"to_index":547,"sum":60334,"residue":170},{"from_index":547,"to_index":911,"sum":63038,"residue":170},{"from_index":911,"to_index":183,"sum":59658,"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":[183,547],"circle_positions":338,"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":[184,548,912],"clock_positions":[184,548,912],"native_values":[337,337,168],"rotation_degrees":60.65934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,168],"beta":{"interval_sums":[60334,63038,59658],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":184,"to_index":548,"sum":60334,"residue":170},{"from_index":548,"to_index":912,"sum":63038,"residue":170},{"from_index":912,"to_index":184,"sum":59658,"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":[184,548],"circle_positions":338,"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":[185,549,913],"clock_positions":[185,549,913],"native_values":[167,336,167],"rotation_degrees":60.989010989010985,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,336,167],"beta":{"interval_sums":[60504,62870,59828],"interval_residues":[2,2,2],"display_cycle":[2,2,2],"intervals":[{"from_index":185,"to_index":549,"sum":60504,"residue":2},{"from_index":549,"to_index":913,"sum":62870,"residue":2},{"from_index":913,"to_index":185,"sum":59828,"residue":2}],"minimal_cycle":[2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[185,549],"circle_positions":338,"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":[186,550,914],"clock_positions":[186,550,914],"native_values":[166,335,335],"rotation_degrees":61.31868131868132,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[166,335,335],"beta":{"interval_sums":[60674,62702,59660],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":186,"to_index":550,"sum":60674,"residue":172},{"from_index":550,"to_index":914,"sum":62702,"residue":172},{"from_index":914,"to_index":186,"sum":59660,"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":[186,550],"circle_positions":338,"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":[187,551,915],"clock_positions":[187,551,915],"native_values":[333,333,164],"rotation_degrees":61.64835164835165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,333,164],"beta":{"interval_sums":[60676,62704,59662],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":187,"to_index":551,"sum":60676,"residue":174},{"from_index":551,"to_index":915,"sum":62704,"residue":174},{"from_index":915,"to_index":187,"sum":59662,"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":[187,551],"circle_positions":338,"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":[188,552,916],"clock_positions":[188,552,916],"native_values":[161,330,161],"rotation_degrees":61.97802197802198,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,330,161],"beta":{"interval_sums":[60848,62538,59834],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":188,"to_index":552,"sum":60848,"residue":8},{"from_index":552,"to_index":916,"sum":62538,"residue":8},{"from_index":916,"to_index":188,"sum":59834,"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":[188,552],"circle_positions":338,"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":[189,553,917],"clock_positions":[189,553,917],"native_values":[156,325,325],"rotation_degrees":62.30769230769231,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[156,325,325],"beta":{"interval_sums":[61022,62374,59670],"interval_residues":[182,182,182],"display_cycle":[182,182,182],"intervals":[{"from_index":189,"to_index":553,"sum":61022,"residue":182},{"from_index":553,"to_index":917,"sum":62374,"residue":182},{"from_index":917,"to_index":189,"sum":59670,"residue":182}],"minimal_cycle":[182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[189,553],"circle_positions":338,"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":[190,554,918],"clock_positions":[190,554,918],"native_values":[317,317,148],"rotation_degrees":62.637362637362635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,317,148],"beta":{"interval_sums":[61030,62382,59678],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":190,"to_index":554,"sum":61030,"residue":190},{"from_index":554,"to_index":918,"sum":62382,"residue":190},{"from_index":918,"to_index":190,"sum":59678,"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":[190,554],"circle_positions":338,"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":[191,555,919],"clock_positions":[191,555,919],"native_values":[135,304,135],"rotation_degrees":62.967032967032964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,304,135],"beta":{"interval_sums":[61212,62226,59860],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":191,"to_index":555,"sum":61212,"residue":34},{"from_index":555,"to_index":919,"sum":62226,"residue":34},{"from_index":919,"to_index":191,"sum":59860,"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":[191,555],"circle_positions":338,"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":[192,556,920],"clock_positions":[192,556,920],"native_values":[114,283,283],"rotation_degrees":63.2967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,283,283],"beta":{"interval_sums":[61402,62078,59712],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":192,"to_index":556,"sum":61402,"residue":224},{"from_index":556,"to_index":920,"sum":62078,"residue":224},{"from_index":920,"to_index":192,"sum":59712,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[192,556],"circle_positions":338,"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":[193,557,921],"clock_positions":[193,557,921],"native_values":[249,249,80],"rotation_degrees":63.62637362637363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,249,80],"beta":{"interval_sums":[61436,62112,59746],"interval_residues":[258,258,258],"display_cycle":[258,258,258],"intervals":[{"from_index":193,"to_index":557,"sum":61436,"residue":258},{"from_index":557,"to_index":921,"sum":62112,"residue":258},{"from_index":921,"to_index":193,"sum":59746,"residue":258}],"minimal_cycle":[258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[193,557],"circle_positions":338,"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":[194,558,922],"clock_positions":[194,558,922],"native_values":[25,194,25],"rotation_degrees":63.956043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,194,25],"beta":{"interval_sums":[61660,61998,59970],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":194,"to_index":558,"sum":61660,"residue":144},{"from_index":558,"to_index":922,"sum":61998,"residue":144},{"from_index":922,"to_index":194,"sum":59970,"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":[194,558],"circle_positions":338,"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":[195,559,923],"clock_positions":[195,559,923],"native_values":[274,105,105],"rotation_degrees":64.28571428571429,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[274,105,105],"beta":{"interval_sums":[61580,61918,59890],"interval_residues":[64,64,64],"display_cycle":[64,64,64],"intervals":[{"from_index":195,"to_index":559,"sum":61580,"residue":64},{"from_index":559,"to_index":923,"sum":61918,"residue":64},{"from_index":923,"to_index":195,"sum":59890,"residue":64}],"minimal_cycle":[64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[195,559],"circle_positions":338,"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":[196,560,924],"clock_positions":[196,560,924],"native_values":[299,299,130],"rotation_degrees":64.61538461538461,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,299,130],"beta":{"interval_sums":[61386,61724,60034],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":196,"to_index":560,"sum":61386,"residue":208},{"from_index":560,"to_index":924,"sum":61724,"residue":208},{"from_index":924,"to_index":196,"sum":60034,"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":[196,560],"circle_positions":338,"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":[197,561,925],"clock_positions":[197,561,925],"native_values":[235,66,235],"rotation_degrees":64.94505494505495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,66,235],"beta":{"interval_sums":[61450,61788,60098],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":197,"to_index":561,"sum":61450,"residue":272},{"from_index":561,"to_index":925,"sum":61788,"residue":272},{"from_index":925,"to_index":197,"sum":60098,"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":[197,561],"circle_positions":338,"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":[198,562,926],"clock_positions":[198,562,926],"native_values":[196,27,27],"rotation_degrees":65.27472527472527,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[196,27,27],"beta":{"interval_sums":[61320,61996,60306],"interval_residues":[142,142,142],"display_cycle":[142,142,142],"intervals":[{"from_index":198,"to_index":562,"sum":61320,"residue":142},{"from_index":562,"to_index":926,"sum":61996,"residue":142},{"from_index":926,"to_index":198,"sum":60306,"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":[198,562],"circle_positions":338,"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":[199,563,927],"clock_positions":[199,563,927],"native_values":[93,93,262],"rotation_degrees":65.6043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,93,262],"beta":{"interval_sums":[61254,61930,60240],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":199,"to_index":563,"sum":61254,"residue":76},{"from_index":563,"to_index":927,"sum":61930,"residue":76},{"from_index":927,"to_index":199,"sum":60240,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[199,563],"circle_positions":338,"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":[200,564,928],"clock_positions":[200,564,928],"native_values":[289,120,289],"rotation_degrees":65.93406593406593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,120,289],"beta":{"interval_sums":[61058,62072,60044],"interval_residues":[218,218,218],"display_cycle":[218,218,218],"intervals":[{"from_index":200,"to_index":564,"sum":61058,"residue":218},{"from_index":564,"to_index":928,"sum":62072,"residue":218},{"from_index":928,"to_index":200,"sum":60044,"residue":218}],"minimal_cycle":[218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[200,564],"circle_positions":338,"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":[201,565,929],"clock_positions":[201,565,929],"native_values":[44,213,213],"rotation_degrees":66.26373626373626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[44,213,213],"beta":{"interval_sums":[61134,62148,60120],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":201,"to_index":565,"sum":61134,"residue":294},{"from_index":565,"to_index":929,"sum":62148,"residue":294},{"from_index":929,"to_index":201,"sum":60120,"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":[201,565],"circle_positions":338,"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":[202,566,930],"clock_positions":[202,566,930],"native_values":[333,333,164],"rotation_degrees":66.5934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,333,164],"beta":{"interval_sums":[61014,62028,60000],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":202,"to_index":566,"sum":61014,"residue":174},{"from_index":566,"to_index":930,"sum":62028,"residue":174},{"from_index":930,"to_index":202,"sum":60000,"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":[202,566],"circle_positions":338,"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":[203,567,931],"clock_positions":[203,567,931],"native_values":[39,208,39],"rotation_degrees":66.92307692307692,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,208,39],"beta":{"interval_sums":[61308,61984,60294],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":203,"to_index":567,"sum":61308,"residue":130},{"from_index":567,"to_index":931,"sum":61984,"residue":130},{"from_index":931,"to_index":203,"sum":60294,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[203,567],"circle_positions":338,"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":[204,568,932],"clock_positions":[204,568,932],"native_values":[34,203,203],"rotation_degrees":67.25274725274726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,203,203],"beta":{"interval_sums":[61482,61820,60130],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":204,"to_index":568,"sum":61482,"residue":304},{"from_index":568,"to_index":932,"sum":61820,"residue":304},{"from_index":932,"to_index":204,"sum":60130,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[204,568],"circle_positions":338,"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":[205,569,933],"clock_positions":[205,569,933],"native_values":[73,73,242],"rotation_degrees":67.58241758241758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,73,242],"beta":{"interval_sums":[61612,61950,59922],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":205,"to_index":569,"sum":61612,"residue":96},{"from_index":569,"to_index":933,"sum":61950,"residue":96},{"from_index":933,"to_index":205,"sum":59922,"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":[205,569],"circle_positions":338,"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":[206,570,934],"clock_positions":[206,570,934],"native_values":[107,276,107],"rotation_degrees":67.91208791208791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,276,107],"beta":{"interval_sums":[61578,61916,59888],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":206,"to_index":570,"sum":61578,"residue":62},{"from_index":570,"to_index":934,"sum":61916,"residue":62},{"from_index":934,"to_index":206,"sum":59888,"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":[206,570],"circle_positions":338,"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":[207,571,935],"clock_positions":[207,571,935],"native_values":[180,11,11],"rotation_degrees":68.24175824175825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[180,11,11],"beta":{"interval_sums":[61674,62012,59984],"interval_residues":[158,158,158],"display_cycle":[158,158,158],"intervals":[{"from_index":207,"to_index":571,"sum":61674,"residue":158},{"from_index":571,"to_index":935,"sum":62012,"residue":158},{"from_index":935,"to_index":207,"sum":59984,"residue":158}],"minimal_cycle":[158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[207,571],"circle_positions":338,"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":[208,572,936],"clock_positions":[208,572,936],"native_values":[287,287,118],"rotation_degrees":68.57142857142857,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,287,118],"beta":{"interval_sums":[61398,61736,60046],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":208,"to_index":572,"sum":61398,"residue":220},{"from_index":572,"to_index":936,"sum":61736,"residue":220},{"from_index":936,"to_index":208,"sum":60046,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[208,572],"circle_positions":338,"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":[209,573,937],"clock_positions":[209,573,937],"native_values":[129,298,129],"rotation_degrees":68.9010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,298,129],"beta":{"interval_sums":[61556,61556,60204],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":209,"to_index":573,"sum":61556,"residue":40},{"from_index":573,"to_index":937,"sum":61556,"residue":40},{"from_index":937,"to_index":209,"sum":60204,"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":[209,573],"circle_positions":338,"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":[210,574,938],"clock_positions":[210,574,938],"native_values":[78,247,247],"rotation_degrees":69.23076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,247,247],"beta":{"interval_sums":[61776,61438,60086],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":210,"to_index":574,"sum":61776,"residue":260},{"from_index":574,"to_index":938,"sum":61438,"residue":260},{"from_index":938,"to_index":210,"sum":60086,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[210,574],"circle_positions":338,"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":[211,575,939],"clock_positions":[211,575,939],"native_values":[207,207,38],"rotation_degrees":69.56043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,207,38],"beta":{"interval_sums":[61816,61478,60126],"interval_residues":[300,300,300],"display_cycle":[300,300,300],"intervals":[{"from_index":211,"to_index":575,"sum":61816,"residue":300},{"from_index":575,"to_index":939,"sum":61478,"residue":300},{"from_index":939,"to_index":211,"sum":60126,"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":[211,575],"circle_positions":338,"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":[212,576,940],"clock_positions":[212,576,940],"native_values":[285,116,285],"rotation_degrees":69.89010989010988,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,116,285],"beta":{"interval_sums":[61738,61400,60048],"interval_residues":[222,222,222],"display_cycle":[222,222,222],"intervals":[{"from_index":212,"to_index":576,"sum":61738,"residue":222},{"from_index":576,"to_index":940,"sum":61400,"residue":222},{"from_index":940,"to_index":212,"sum":60048,"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":[212,576],"circle_positions":338,"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":[213,577,941],"clock_positions":[213,577,941],"native_values":[154,323,323],"rotation_degrees":70.21978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[154,323,323],"beta":{"interval_sums":[61700,61362,60010],"interval_residues":[184,184,184],"display_cycle":[184,184,184],"intervals":[{"from_index":213,"to_index":577,"sum":61700,"residue":184},{"from_index":577,"to_index":941,"sum":61362,"residue":184},{"from_index":941,"to_index":213,"sum":60010,"residue":184}],"minimal_cycle":[184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[213,577],"circle_positions":338,"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":[214,578,942],"clock_positions":[214,578,942],"native_values":[101,101,270],"rotation_degrees":70.54945054945055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,101,270],"beta":{"interval_sums":[61922,61584,59894],"interval_residues":[68,68,68],"display_cycle":[68,68,68],"intervals":[{"from_index":214,"to_index":578,"sum":61922,"residue":68},{"from_index":578,"to_index":942,"sum":61584,"residue":68},{"from_index":942,"to_index":214,"sum":59894,"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":[214,578],"circle_positions":338,"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":[215,579,943],"clock_positions":[215,579,943],"native_values":[255,86,255],"rotation_degrees":70.87912087912088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,86,255],"beta":{"interval_sums":[61768,61768,59740],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":215,"to_index":579,"sum":61768,"residue":252},{"from_index":579,"to_index":943,"sum":61768,"residue":252},{"from_index":943,"to_index":215,"sum":59740,"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":[215,579],"circle_positions":338,"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":[216,580,944],"clock_positions":[216,580,944],"native_values":[18,187,187],"rotation_degrees":71.20879120879121,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,187,187],"beta":{"interval_sums":[61836,61836,59808],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":216,"to_index":580,"sum":61836,"residue":320},{"from_index":580,"to_index":944,"sum":61836,"residue":320},{"from_index":944,"to_index":216,"sum":59808,"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":[216,580],"circle_positions":338,"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":[217,581,945],"clock_positions":[217,581,945],"native_values":[273,273,104],"rotation_degrees":71.53846153846153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,273,104],"beta":{"interval_sums":[61750,61750,59722],"interval_residues":[234,234,234],"display_cycle":[234,234,234],"intervals":[{"from_index":217,"to_index":581,"sum":61750,"residue":234},{"from_index":581,"to_index":945,"sum":61750,"residue":234},{"from_index":945,"to_index":217,"sum":59722,"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":[217,581],"circle_positions":338,"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":[218,582,946],"clock_positions":[218,582,946],"native_values":[291,122,291],"rotation_degrees":71.86813186813187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,122,291],"beta":{"interval_sums":[61732,61732,59704],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":218,"to_index":582,"sum":61732,"residue":216},{"from_index":582,"to_index":946,"sum":61732,"residue":216},{"from_index":946,"to_index":218,"sum":59704,"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":[218,582],"circle_positions":338,"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":[219,583,947],"clock_positions":[219,583,947],"native_values":[226,57,57],"rotation_degrees":72.1978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,57,57],"beta":{"interval_sums":[61628,61966,59938],"interval_residues":[112,112,112],"display_cycle":[112,112,112],"intervals":[{"from_index":219,"to_index":583,"sum":61628,"residue":112},{"from_index":583,"to_index":947,"sum":61966,"residue":112},{"from_index":947,"to_index":219,"sum":59938,"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":[219,583],"circle_positions":338,"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":[220,584,948],"clock_positions":[220,584,948],"native_values":[179,179,10],"rotation_degrees":72.52747252747253,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,179,10],"beta":{"interval_sums":[61506,61844,60154],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":220,"to_index":584,"sum":61506,"residue":328},{"from_index":584,"to_index":948,"sum":61844,"residue":328},{"from_index":948,"to_index":220,"sum":60154,"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":[220,584],"circle_positions":338,"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":[221,585,949],"clock_positions":[221,585,949],"native_values":[67,236,67],"rotation_degrees":72.85714285714286,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,236,67],"beta":{"interval_sums":[61618,61618,60266],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":221,"to_index":585,"sum":61618,"residue":102},{"from_index":585,"to_index":949,"sum":61618,"residue":102},{"from_index":949,"to_index":221,"sum":60266,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[221,585],"circle_positions":338,"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":[222,586,950],"clock_positions":[222,586,950],"native_values":[246,77,77],"rotation_degrees":73.18681318681318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[246,77,77],"beta":{"interval_sums":[61608,61608,60256],"interval_residues":[92,92,92],"display_cycle":[92,92,92],"intervals":[{"from_index":222,"to_index":586,"sum":61608,"residue":92},{"from_index":586,"to_index":950,"sum":61608,"residue":92},{"from_index":950,"to_index":222,"sum":60256,"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":[222,586],"circle_positions":338,"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":[223,587,951],"clock_positions":[223,587,951],"native_values":[313,313,144],"rotation_degrees":73.51648351648352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,313,144],"beta":{"interval_sums":[61372,61372,60358],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":223,"to_index":587,"sum":61372,"residue":194},{"from_index":587,"to_index":951,"sum":61372,"residue":194},{"from_index":951,"to_index":223,"sum":60358,"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":[223,587],"circle_positions":338,"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":[224,588,952],"clock_positions":[224,588,952],"native_values":[221,52,221],"rotation_degrees":73.84615384615384,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,52,221],"beta":{"interval_sums":[61464,61464,60450],"interval_residues":[286,286,286],"display_cycle":[286,286,286],"intervals":[{"from_index":224,"to_index":588,"sum":61464,"residue":286},{"from_index":588,"to_index":952,"sum":61464,"residue":286},{"from_index":952,"to_index":224,"sum":60450,"residue":286}],"minimal_cycle":[286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[224,588],"circle_positions":338,"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":[225,589,953],"clock_positions":[225,589,953],"native_values":[196,27,27],"rotation_degrees":74.17582417582418,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[196,27,27],"beta":{"interval_sums":[61320,61658,60644],"interval_residues":[142,142,142],"display_cycle":[142,142,142],"intervals":[{"from_index":225,"to_index":589,"sum":61320,"residue":142},{"from_index":589,"to_index":953,"sum":61658,"residue":142},{"from_index":953,"to_index":225,"sum":60644,"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":[225,589],"circle_positions":338,"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":[226,590,954],"clock_positions":[226,590,954],"native_values":[79,79,248],"rotation_degrees":74.50549450549451,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,79,248],"beta":{"interval_sums":[61268,61606,60592],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":226,"to_index":590,"sum":61268,"residue":90},{"from_index":590,"to_index":954,"sum":61606,"residue":90},{"from_index":954,"to_index":226,"sum":60592,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[226,590],"circle_positions":338,"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":[227,591,955],"clock_positions":[227,591,955],"native_values":[275,106,275],"rotation_degrees":74.83516483516483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,106,275],"beta":{"interval_sums":[61072,61748,60396],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":227,"to_index":591,"sum":61072,"residue":232},{"from_index":591,"to_index":955,"sum":61748,"residue":232},{"from_index":955,"to_index":227,"sum":60396,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[227,591],"circle_positions":338,"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":[228,592,956],"clock_positions":[228,592,956],"native_values":[16,185,185],"rotation_degrees":75.16483516483517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,185,185],"beta":{"interval_sums":[61162,61838,60486],"interval_residues":[322,322,322],"display_cycle":[322,322,322],"intervals":[{"from_index":228,"to_index":592,"sum":61162,"residue":322},{"from_index":592,"to_index":956,"sum":61838,"residue":322},{"from_index":956,"to_index":228,"sum":60486,"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":[228,592],"circle_positions":338,"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":[229,593,957],"clock_positions":[229,593,957],"native_values":[291,291,122],"rotation_degrees":75.49450549450549,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,291,122],"beta":{"interval_sums":[61056,61732,60380],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":229,"to_index":593,"sum":61056,"residue":216},{"from_index":593,"to_index":957,"sum":61732,"residue":216},{"from_index":957,"to_index":229,"sum":60380,"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":[229,593],"circle_positions":338,"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":[230,594,958],"clock_positions":[230,594,958],"native_values":[307,138,307],"rotation_degrees":75.82417582417582,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,138,307],"beta":{"interval_sums":[61040,61716,60364],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":230,"to_index":594,"sum":61040,"residue":200},{"from_index":594,"to_index":958,"sum":61716,"residue":200},{"from_index":958,"to_index":230,"sum":60364,"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":[230,594],"circle_positions":338,"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":[231,595,959],"clock_positions":[231,595,959],"native_values":[260,91,91],"rotation_degrees":76.15384615384616,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,91,91],"beta":{"interval_sums":[60918,61932,60580],"interval_residues":[78,78,78],"display_cycle":[78,78,78],"intervals":[{"from_index":231,"to_index":595,"sum":60918,"residue":78},{"from_index":595,"to_index":959,"sum":61932,"residue":78},{"from_index":959,"to_index":231,"sum":60580,"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":[231,595],"circle_positions":338,"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":[232,596,960],"clock_positions":[232,596,960],"native_values":[229,229,60],"rotation_degrees":76.48351648351648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,229,60],"beta":{"interval_sums":[60780,61794,60780],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":232,"to_index":596,"sum":60780,"residue":278},{"from_index":596,"to_index":960,"sum":61794,"residue":278},{"from_index":960,"to_index":232,"sum":60780,"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":[232,596],"circle_positions":338,"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":[233,597,961],"clock_positions":[233,597,961],"native_values":[151,320,151],"rotation_degrees":76.81318681318682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,320,151],"beta":{"interval_sums":[60858,61534,60858],"interval_residues":[18,18,18],"display_cycle":[18,18,18],"intervals":[{"from_index":233,"to_index":597,"sum":60858,"residue":18},{"from_index":597,"to_index":961,"sum":61534,"residue":18},{"from_index":961,"to_index":233,"sum":60858,"residue":18}],"minimal_cycle":[18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[233,597],"circle_positions":338,"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":[234,598,962],"clock_positions":[234,598,962],"native_values":[42,211,211],"rotation_degrees":77.14285714285714,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,211,211],"beta":{"interval_sums":[61136,61474,60798],"interval_residues":[296,296,296],"display_cycle":[296,296,296],"intervals":[{"from_index":234,"to_index":598,"sum":61136,"residue":296},{"from_index":598,"to_index":962,"sum":61474,"residue":296},{"from_index":962,"to_index":234,"sum":60798,"residue":296}],"minimal_cycle":[296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[234,598],"circle_positions":338,"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":[235,599,963],"clock_positions":[235,599,963],"native_values":[193,193,24],"rotation_degrees":77.47252747252747,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,193,24],"beta":{"interval_sums":[61154,61492,60816],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":235,"to_index":599,"sum":61154,"residue":314},{"from_index":599,"to_index":963,"sum":61492,"residue":314},{"from_index":963,"to_index":235,"sum":60816,"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":[235,599],"circle_positions":338,"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":[236,600,964],"clock_positions":[236,600,964],"native_values":[235,66,235],"rotation_degrees":77.8021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,66,235],"beta":{"interval_sums":[61112,61450,60774],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":236,"to_index":600,"sum":61112,"residue":272},{"from_index":600,"to_index":964,"sum":61450,"residue":272},{"from_index":964,"to_index":236,"sum":60774,"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":[236,600],"circle_positions":338,"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":[237,601,965],"clock_positions":[237,601,965],"native_values":[90,259,259],"rotation_degrees":78.13186813186813,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,259,259],"beta":{"interval_sums":[61088,61426,60750],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":237,"to_index":601,"sum":61088,"residue":248},{"from_index":601,"to_index":965,"sum":61426,"residue":248},{"from_index":965,"to_index":237,"sum":60750,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[237,601],"circle_positions":338,"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":[238,602,966],"clock_positions":[238,602,966],"native_values":[325,325,156],"rotation_degrees":78.46153846153847,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,156],"beta":{"interval_sums":[61022,61360,60684],"interval_residues":[182,182,182],"display_cycle":[182,182,182],"intervals":[{"from_index":238,"to_index":602,"sum":61022,"residue":182},{"from_index":602,"to_index":966,"sum":61360,"residue":182},{"from_index":966,"to_index":238,"sum":60684,"residue":182}],"minimal_cycle":[182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[238,602],"circle_positions":338,"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":[239,603,967],"clock_positions":[239,603,967],"native_values":[77,246,77],"rotation_degrees":78.79120879120879,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,246,77],"beta":{"interval_sums":[61270,61270,60932],"interval_residues":[92,92,92],"display_cycle":[92,92,92],"intervals":[{"from_index":239,"to_index":603,"sum":61270,"residue":92},{"from_index":603,"to_index":967,"sum":61270,"residue":92},{"from_index":967,"to_index":239,"sum":60932,"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":[239,603],"circle_positions":338,"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":[240,604,968],"clock_positions":[240,604,968],"native_values":[64,233,233],"rotation_degrees":79.12087912087912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,233,233],"beta":{"interval_sums":[61452,61114,60776],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":240,"to_index":604,"sum":61452,"residue":274},{"from_index":604,"to_index":968,"sum":61114,"residue":274},{"from_index":968,"to_index":240,"sum":60776,"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":[240,604],"circle_positions":338,"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":[241,605,969],"clock_positions":[241,605,969],"native_values":[141,141,310],"rotation_degrees":79.45054945054945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,141,310],"beta":{"interval_sums":[61544,61206,60530],"interval_residues":[28,28,28],"display_cycle":[28,28,28],"intervals":[{"from_index":241,"to_index":605,"sum":61544,"residue":28},{"from_index":605,"to_index":969,"sum":61206,"residue":28},{"from_index":969,"to_index":241,"sum":60530,"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":[241,605],"circle_positions":338,"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":[242,606,970],"clock_positions":[242,606,970],"native_values":[205,36,205],"rotation_degrees":79.78021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,36,205],"beta":{"interval_sums":[61480,61480,60466],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":242,"to_index":606,"sum":61480,"residue":302},{"from_index":606,"to_index":970,"sum":61480,"residue":302},{"from_index":970,"to_index":242,"sum":60466,"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":[242,606],"circle_positions":338,"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":[243,607,971],"clock_positions":[243,607,971],"native_values":[8,177,177],"rotation_degrees":80.10989010989012,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,177,177],"beta":{"interval_sums":[61508,61508,60494],"interval_residues":[330,330,330],"display_cycle":[330,330,330],"intervals":[{"from_index":243,"to_index":607,"sum":61508,"residue":330},{"from_index":607,"to_index":971,"sum":61508,"residue":330},{"from_index":971,"to_index":243,"sum":60494,"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":[243,607],"circle_positions":338,"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":[244,608,972],"clock_positions":[244,608,972],"native_values":[213,213,44],"rotation_degrees":80.43956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,213,44],"beta":{"interval_sums":[61472,61472,60458],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":244,"to_index":608,"sum":61472,"residue":294},{"from_index":608,"to_index":972,"sum":61472,"residue":294},{"from_index":972,"to_index":244,"sum":60458,"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":[244,608],"circle_positions":338,"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":[245,609,973],"clock_positions":[245,609,973],"native_values":[221,52,221],"rotation_degrees":80.76923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,52,221],"beta":{"interval_sums":[61464,61464,60450],"interval_residues":[286,286,286],"display_cycle":[286,286,286],"intervals":[{"from_index":245,"to_index":609,"sum":61464,"residue":286},{"from_index":609,"to_index":973,"sum":61464,"residue":286},{"from_index":973,"to_index":245,"sum":60450,"residue":286}],"minimal_cycle":[286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[245,609],"circle_positions":338,"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":[246,610,974],"clock_positions":[246,610,974],"native_values":[96,265,265],"rotation_degrees":81.0989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,265,265],"beta":{"interval_sums":[61420,61420,60406],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":246,"to_index":610,"sum":61420,"residue":242},{"from_index":610,"to_index":974,"sum":61420,"residue":242},{"from_index":974,"to_index":246,"sum":60406,"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":[246,610],"circle_positions":338,"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":[247,611,975],"clock_positions":[247,611,975],"native_values":[317,317,148],"rotation_degrees":81.42857142857143,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,317,148],"beta":{"interval_sums":[61368,61368,60354],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":247,"to_index":611,"sum":61368,"residue":190},{"from_index":611,"to_index":975,"sum":61368,"residue":190},{"from_index":975,"to_index":247,"sum":60354,"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":[247,611],"circle_positions":338,"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":[248,612,976],"clock_positions":[248,612,976],"native_values":[75,244,75],"rotation_degrees":81.75824175824175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,244,75],"beta":{"interval_sums":[61610,61272,60596],"interval_residues":[94,94,94],"display_cycle":[94,94,94],"intervals":[{"from_index":248,"to_index":612,"sum":61610,"residue":94},{"from_index":612,"to_index":976,"sum":61272,"residue":94},{"from_index":976,"to_index":248,"sum":60596,"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":[248,612],"circle_positions":338,"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":[249,613,977],"clock_positions":[249,613,977],"native_values":[54,223,223],"rotation_degrees":82.08791208791209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[54,223,223],"beta":{"interval_sums":[61800,61124,60448],"interval_residues":[284,284,284],"display_cycle":[284,284,284],"intervals":[{"from_index":249,"to_index":613,"sum":61800,"residue":284},{"from_index":613,"to_index":977,"sum":61124,"residue":284},{"from_index":977,"to_index":249,"sum":60448,"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":[249,613],"circle_positions":338,"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":[250,614,978],"clock_positions":[250,614,978],"native_values":[129,129,298],"rotation_degrees":82.41758241758242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,129,298],"beta":{"interval_sums":[61894,61218,60204],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":250,"to_index":614,"sum":61894,"residue":40},{"from_index":614,"to_index":978,"sum":61218,"residue":40},{"from_index":978,"to_index":250,"sum":60204,"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":[250,614],"circle_positions":338,"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":[251,615,979],"clock_positions":[251,615,979],"native_values":[183,14,183],"rotation_degrees":82.74725274725274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,14,183],"beta":{"interval_sums":[61840,61502,60150],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":251,"to_index":615,"sum":61840,"residue":324},{"from_index":615,"to_index":979,"sum":61502,"residue":324},{"from_index":979,"to_index":251,"sum":60150,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[251,615],"circle_positions":338,"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":[252,616,980],"clock_positions":[252,616,980],"native_values":[312,143,143],"rotation_degrees":83.07692307692308,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,143,143],"beta":{"interval_sums":[61542,61542,60190],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":252,"to_index":616,"sum":61542,"residue":26},{"from_index":616,"to_index":980,"sum":61542,"residue":26},{"from_index":980,"to_index":252,"sum":60190,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[252,616],"circle_positions":338,"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":[253,617,981],"clock_positions":[253,617,981],"native_values":[157,157,326],"rotation_degrees":83.4065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,157,326],"beta":{"interval_sums":[61528,61528,60176],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":253,"to_index":617,"sum":61528,"residue":12},{"from_index":617,"to_index":981,"sum":61528,"residue":12},{"from_index":981,"to_index":253,"sum":60176,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[253,617],"circle_positions":338,"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":[254,618,982],"clock_positions":[254,618,982],"native_values":[131,300,131],"rotation_degrees":83.73626373626374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,300,131],"beta":{"interval_sums":[61554,61554,60202],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":254,"to_index":618,"sum":61554,"residue":38},{"from_index":618,"to_index":982,"sum":61554,"residue":38},{"from_index":982,"to_index":254,"sum":60202,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[254,618],"circle_positions":338,"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":[255,619,983],"clock_positions":[255,619,983],"native_values":[288,119,119],"rotation_degrees":84.06593406593407,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,119,119],"beta":{"interval_sums":[61566,61566,60214],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":255,"to_index":619,"sum":61566,"residue":50},{"from_index":619,"to_index":983,"sum":61566,"residue":50},{"from_index":983,"to_index":255,"sum":60214,"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":[255,619],"circle_positions":338,"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":[256,620,984],"clock_positions":[256,620,984],"native_values":[81,81,250],"rotation_degrees":84.3956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,81,250],"beta":{"interval_sums":[61604,61604,60252],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":256,"to_index":620,"sum":61604,"residue":88},{"from_index":620,"to_index":984,"sum":61604,"residue":88},{"from_index":984,"to_index":256,"sum":60252,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[256,620],"circle_positions":338,"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":[257,621,985],"clock_positions":[257,621,985],"native_values":[31,200,31],"rotation_degrees":84.72527472527473,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,200,31],"beta":{"interval_sums":[61654,61654,60302],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":257,"to_index":621,"sum":61654,"residue":138},{"from_index":621,"to_index":985,"sum":61654,"residue":138},{"from_index":985,"to_index":257,"sum":60302,"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":[257,621],"circle_positions":338,"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":[258,622,986],"clock_positions":[258,622,986],"native_values":[112,281,281],"rotation_degrees":85.05494505494505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,281,281],"beta":{"interval_sums":[61742,61404,60052],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":258,"to_index":622,"sum":61742,"residue":226},{"from_index":622,"to_index":986,"sum":61404,"residue":226},{"from_index":986,"to_index":258,"sum":60052,"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":[258,622],"circle_positions":338,"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":[259,623,987],"clock_positions":[259,623,987],"native_values":[143,143,312],"rotation_degrees":85.38461538461539,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[143,143,312],"beta":{"interval_sums":[61880,61542,59852],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":259,"to_index":623,"sum":61880,"residue":26},{"from_index":623,"to_index":987,"sum":61542,"residue":26},{"from_index":987,"to_index":259,"sum":59852,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[259,623],"circle_positions":338,"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":[260,624,988],"clock_positions":[260,624,988],"native_values":[255,86,255],"rotation_degrees":85.71428571428571,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,86,255],"beta":{"interval_sums":[61768,61768,59740],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":260,"to_index":624,"sum":61768,"residue":252},{"from_index":624,"to_index":988,"sum":61768,"residue":252},{"from_index":988,"to_index":260,"sum":59740,"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":[260,624],"circle_positions":338,"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":[261,625,989],"clock_positions":[261,625,989],"native_values":[60,229,229],"rotation_degrees":86.04395604395604,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,229,229],"beta":{"interval_sums":[61794,61794,59766],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":261,"to_index":625,"sum":61794,"residue":278},{"from_index":625,"to_index":989,"sum":61794,"residue":278},{"from_index":989,"to_index":261,"sum":59766,"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":[261,625],"circle_positions":338,"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":[262,626,990],"clock_positions":[262,626,990],"native_values":[315,315,146],"rotation_degrees":86.37362637362638,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,315,146],"beta":{"interval_sums":[61708,61708,59680],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":262,"to_index":626,"sum":61708,"residue":192},{"from_index":626,"to_index":990,"sum":61708,"residue":192},{"from_index":990,"to_index":262,"sum":59680,"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":[262,626],"circle_positions":338,"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":[263,627,991],"clock_positions":[263,627,991],"native_values":[37,206,37],"rotation_degrees":86.7032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,206,37],"beta":{"interval_sums":[61986,61648,59958],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":263,"to_index":627,"sum":61986,"residue":132},{"from_index":627,"to_index":991,"sum":61648,"residue":132},{"from_index":991,"to_index":263,"sum":59958,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[263,627],"circle_positions":338,"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":[264,628,992],"clock_positions":[264,628,992],"native_values":[14,183,183],"rotation_degrees":87.03296703296704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,183,183],"beta":{"interval_sums":[62178,61502,59812],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":264,"to_index":628,"sum":62178,"residue":324},{"from_index":628,"to_index":992,"sum":61502,"residue":324},{"from_index":992,"to_index":264,"sum":59812,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[264,628],"circle_positions":338,"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":[265,629,993],"clock_positions":[265,629,993],"native_values":[51,51,220],"rotation_degrees":87.36263736263736,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,51,220],"beta":{"interval_sums":[62310,61634,59606],"interval_residues":[118,118,118],"display_cycle":[118,118,118],"intervals":[{"from_index":265,"to_index":629,"sum":62310,"residue":118},{"from_index":629,"to_index":993,"sum":61634,"residue":118},{"from_index":993,"to_index":265,"sum":59606,"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":[265,629],"circle_positions":338,"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":[266,630,994],"clock_positions":[266,630,994],"native_values":[65,234,65],"rotation_degrees":87.6923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,234,65],"beta":{"interval_sums":[62296,61620,59592],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":266,"to_index":630,"sum":62296,"residue":104},{"from_index":630,"to_index":994,"sum":61620,"residue":104},{"from_index":994,"to_index":266,"sum":59592,"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":[266,630],"circle_positions":338,"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":[267,631,995],"clock_positions":[267,631,995],"native_values":[116,285,285],"rotation_degrees":88.02197802197803,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[116,285,285],"beta":{"interval_sums":[62414,61400,59372],"interval_residues":[222,222,222],"display_cycle":[222,222,222],"intervals":[{"from_index":267,"to_index":631,"sum":62414,"residue":222},{"from_index":631,"to_index":995,"sum":61400,"residue":222},{"from_index":995,"to_index":267,"sum":59372,"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":[267,631],"circle_positions":338,"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":[268,632,996],"clock_positions":[268,632,996],"native_values":[181,181,12],"rotation_degrees":88.35164835164835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,181,12],"beta":{"interval_sums":[62518,61504,59476],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":268,"to_index":632,"sum":62518,"residue":326},{"from_index":632,"to_index":996,"sum":61504,"residue":326},{"from_index":996,"to_index":268,"sum":59476,"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":[268,632],"circle_positions":338,"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":[269,633,997],"clock_positions":[269,633,997],"native_values":[297,128,297],"rotation_degrees":88.68131868131869,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,128,297],"beta":{"interval_sums":[62402,61388,59360],"interval_residues":[210,210,210],"display_cycle":[210,210,210],"intervals":[{"from_index":269,"to_index":633,"sum":62402,"residue":210},{"from_index":633,"to_index":997,"sum":61388,"residue":210},{"from_index":997,"to_index":269,"sum":59360,"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":[269,633],"circle_positions":338,"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":[270,634,998],"clock_positions":[270,634,998],"native_values":[140,309,309],"rotation_degrees":89.01098901098901,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,309,309],"beta":{"interval_sums":[62390,61376,59348],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":270,"to_index":634,"sum":62390,"residue":198},{"from_index":634,"to_index":998,"sum":61376,"residue":198},{"from_index":998,"to_index":270,"sum":59348,"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":[270,634],"circle_positions":338,"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":[271,635,999],"clock_positions":[271,635,999],"native_values":[99,99,268],"rotation_degrees":89.34065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,99,268],"beta":{"interval_sums":[62600,61586,59220],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":271,"to_index":635,"sum":62600,"residue":70},{"from_index":635,"to_index":999,"sum":61586,"residue":70},{"from_index":999,"to_index":271,"sum":59220,"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":[271,635],"circle_positions":338,"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":[272,636,1000],"clock_positions":[272,636,1000],"native_values":[239,70,239],"rotation_degrees":89.67032967032966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,70,239],"beta":{"interval_sums":[62460,61784,59080],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":272,"to_index":636,"sum":62460,"residue":268},{"from_index":636,"to_index":1000,"sum":61784,"residue":268},{"from_index":1000,"to_index":272,"sum":59080,"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":[272,636],"circle_positions":338,"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":[273,637,1001],"clock_positions":[273,637,1001],"native_values":[338,169,169],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,169,169],"beta":{"interval_sums":[62530,61854,59150],"interval_residues":[0,0,0],"display_cycle":[338,338,338],"intervals":[{"from_index":273,"to_index":637,"sum":62530,"residue":0},{"from_index":637,"to_index":1001,"sum":61854,"residue":0},{"from_index":1001,"to_index":273,"sum":59150,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[273,637],"circle_positions":338,"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":[274,638,1002],"clock_positions":[274,638,1002],"native_values":[239,239,70],"rotation_degrees":90.32967032967034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,239,70],"beta":{"interval_sums":[62460,61784,59080],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":274,"to_index":638,"sum":62460,"residue":268},{"from_index":638,"to_index":1002,"sum":61784,"residue":268},{"from_index":1002,"to_index":274,"sum":59080,"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":[274,638],"circle_positions":338,"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":[275,639,1003],"clock_positions":[275,639,1003],"native_values":[239,70,239],"rotation_degrees":90.65934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,70,239],"beta":{"interval_sums":[62460,61784,59080],"interval_residues":[268,268,268],"display_cycle":[268,268,268],"intervals":[{"from_index":275,"to_index":639,"sum":62460,"residue":268},{"from_index":639,"to_index":1003,"sum":61784,"residue":268},{"from_index":1003,"to_index":275,"sum":59080,"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":[275,639],"circle_positions":338,"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":[276,640,1004],"clock_positions":[276,640,1004],"native_values":[140,309,309],"rotation_degrees":90.98901098901099,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[140,309,309],"beta":{"interval_sums":[62390,61714,59010],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":276,"to_index":640,"sum":62390,"residue":198},{"from_index":640,"to_index":1004,"sum":61714,"residue":198},{"from_index":1004,"to_index":276,"sum":59010,"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":[276,640],"circle_positions":338,"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":[277,641,1005],"clock_positions":[277,641,1005],"native_values":[41,41,210],"rotation_degrees":91.31868131868131,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,41,210],"beta":{"interval_sums":[62658,61982,58940],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":277,"to_index":641,"sum":62658,"residue":128},{"from_index":641,"to_index":1005,"sum":61982,"residue":128},{"from_index":1005,"to_index":277,"sum":58940,"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":[277,641],"circle_positions":338,"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":[278,642,1006],"clock_positions":[278,642,1006],"native_values":[181,12,181],"rotation_degrees":91.64835164835165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,12,181],"beta":{"interval_sums":[62518,62180,58800],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":278,"to_index":642,"sum":62518,"residue":326},{"from_index":642,"to_index":1006,"sum":62180,"residue":326},{"from_index":1006,"to_index":278,"sum":58800,"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":[278,642],"circle_positions":338,"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":[279,643,1007],"clock_positions":[279,643,1007],"native_values":[222,53,53],"rotation_degrees":91.97802197802197,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,53,53],"beta":{"interval_sums":[62308,62308,58928],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":279,"to_index":643,"sum":62308,"residue":116},{"from_index":643,"to_index":1007,"sum":62308,"residue":116},{"from_index":1007,"to_index":279,"sum":58928,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[279,643],"circle_positions":338,"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":[280,644,1008],"clock_positions":[280,644,1008],"native_values":[65,65,234],"rotation_degrees":92.3076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,234],"beta":{"interval_sums":[62296,62296,58916],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":280,"to_index":644,"sum":62296,"residue":104},{"from_index":644,"to_index":1008,"sum":62296,"residue":104},{"from_index":1008,"to_index":280,"sum":58916,"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":[280,644],"circle_positions":338,"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":[281,645,1009],"clock_positions":[281,645,1009],"native_values":[287,118,287],"rotation_degrees":92.63736263736264,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,118,287],"beta":{"interval_sums":[62074,62412,58694],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":281,"to_index":645,"sum":62074,"residue":220},{"from_index":645,"to_index":1009,"sum":62412,"residue":220},{"from_index":1009,"to_index":281,"sum":58694,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[281,645],"circle_positions":338,"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":[282,646,1010],"clock_positions":[282,646,1010],"native_values":[14,183,183],"rotation_degrees":92.96703296703296,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,183,183],"beta":{"interval_sums":[62178,62516,58798],"interval_residues":[324,324,324],"display_cycle":[324,324,324],"intervals":[{"from_index":282,"to_index":646,"sum":62178,"residue":324},{"from_index":646,"to_index":1010,"sum":62516,"residue":324},{"from_index":1010,"to_index":282,"sum":58798,"residue":324}],"minimal_cycle":[324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[282,646],"circle_positions":338,"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":[283,647,1011],"clock_positions":[283,647,1011],"native_values":[301,301,132],"rotation_degrees":93.2967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,301,132],"beta":{"interval_sums":[62060,62398,58680],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":283,"to_index":647,"sum":62060,"residue":206},{"from_index":647,"to_index":1011,"sum":62398,"residue":206},{"from_index":1011,"to_index":283,"sum":58680,"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":[283,647],"circle_positions":338,"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":[284,648,1012],"clock_positions":[284,648,1012],"native_values":[315,146,315],"rotation_degrees":93.62637362637362,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[315,146,315],"beta":{"interval_sums":[62046,62384,58666],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":284,"to_index":648,"sum":62046,"residue":192},{"from_index":648,"to_index":1012,"sum":62384,"residue":192},{"from_index":1012,"to_index":284,"sum":58666,"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":[284,648],"circle_positions":338,"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":[285,649,1013],"clock_positions":[285,649,1013],"native_values":[278,109,109],"rotation_degrees":93.95604395604396,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,109,109],"beta":{"interval_sums":[61914,62590,58872],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":285,"to_index":649,"sum":61914,"residue":60},{"from_index":649,"to_index":1013,"sum":62590,"residue":60},{"from_index":1013,"to_index":285,"sum":58872,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[285,649],"circle_positions":338,"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":[286,650,1014],"clock_positions":[286,650,1014],"native_values":[255,255,86],"rotation_degrees":94.28571428571429,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,255,86],"beta":{"interval_sums":[61768,62444,59064],"interval_residues":[252,252,252],"display_cycle":[252,252,252],"intervals":[{"from_index":286,"to_index":650,"sum":61768,"residue":252},{"from_index":650,"to_index":1014,"sum":62444,"residue":252},{"from_index":1014,"to_index":286,"sum":59064,"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":[286,650],"circle_positions":338,"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":[287,651,1015],"clock_positions":[287,651,1015],"native_values":[195,26,195],"rotation_degrees":94.61538461538461,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,26,195],"beta":{"interval_sums":[61828,62504,59124],"interval_residues":[312,312,312],"display_cycle":[312,312,312],"intervals":[{"from_index":287,"to_index":651,"sum":61828,"residue":312},{"from_index":651,"to_index":1015,"sum":62504,"residue":312},{"from_index":1015,"to_index":287,"sum":59124,"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":[287,651],"circle_positions":338,"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":[288,652,1016],"clock_positions":[288,652,1016],"native_values":[112,281,281],"rotation_degrees":94.94505494505495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,281,281],"beta":{"interval_sums":[61742,62418,59038],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":288,"to_index":652,"sum":61742,"residue":226},{"from_index":652,"to_index":1016,"sum":62418,"residue":226},{"from_index":1016,"to_index":288,"sum":59038,"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":[288,652],"circle_positions":338,"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":[289,653,1017],"clock_positions":[289,653,1017],"native_values":[307,307,138],"rotation_degrees":95.27472527472527,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,307,138],"beta":{"interval_sums":[61716,62392,59012],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":289,"to_index":653,"sum":61716,"residue":200},{"from_index":653,"to_index":1017,"sum":62392,"residue":200},{"from_index":1017,"to_index":289,"sum":59012,"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":[289,653],"circle_positions":338,"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":[290,654,1018],"clock_positions":[290,654,1018],"native_values":[81,250,81],"rotation_degrees":95.6043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,250,81],"beta":{"interval_sums":[61942,62280,59238],"interval_residues":[88,88,88],"display_cycle":[88,88,88],"intervals":[{"from_index":290,"to_index":654,"sum":61942,"residue":88},{"from_index":654,"to_index":1018,"sum":62280,"residue":88},{"from_index":1018,"to_index":290,"sum":59238,"residue":88}],"minimal_cycle":[88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[290,654],"circle_positions":338,"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":[291,655,1019],"clock_positions":[291,655,1019],"native_values":[50,219,219],"rotation_degrees":95.93406593406593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,219,219],"beta":{"interval_sums":[62142,62142,59100],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":291,"to_index":655,"sum":62142,"residue":288},{"from_index":655,"to_index":1019,"sum":62142,"residue":288},{"from_index":1019,"to_index":291,"sum":59100,"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":[291,655],"circle_positions":338,"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":[292,656,1020],"clock_positions":[292,656,1020],"native_values":[131,131,300],"rotation_degrees":96.26373626373626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,131,300],"beta":{"interval_sums":[62230,62230,58850],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":292,"to_index":656,"sum":62230,"residue":38},{"from_index":656,"to_index":1020,"sum":62230,"residue":38},{"from_index":1020,"to_index":292,"sum":58850,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[292,656],"circle_positions":338,"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":[293,657,1021],"clock_positions":[293,657,1021],"native_values":[181,12,181],"rotation_degrees":96.5934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,12,181],"beta":{"interval_sums":[62180,62518,58800],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":293,"to_index":657,"sum":62180,"residue":326},{"from_index":657,"to_index":1021,"sum":62518,"residue":326},{"from_index":1021,"to_index":293,"sum":58800,"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":[293,657],"circle_positions":338,"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":[294,658,1022],"clock_positions":[294,658,1022],"native_values":[312,143,143],"rotation_degrees":96.92307692307692,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,143,143],"beta":{"interval_sums":[61880,62556,58838],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":294,"to_index":658,"sum":61880,"residue":26},{"from_index":658,"to_index":1022,"sum":62556,"residue":26},{"from_index":1022,"to_index":294,"sum":58838,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[294,658],"circle_positions":338,"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":[295,659,1023],"clock_positions":[295,659,1023],"native_values":[155,155,324],"rotation_degrees":97.25274725274726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,155,324],"beta":{"interval_sums":[61868,62544,58826],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":295,"to_index":659,"sum":61868,"residue":14},{"from_index":659,"to_index":1023,"sum":62544,"residue":14},{"from_index":1023,"to_index":295,"sum":58826,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[295,659],"circle_positions":338,"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":[296,660,1024],"clock_positions":[296,660,1024],"native_values":[129,298,129],"rotation_degrees":97.58241758241758,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,298,129],"beta":{"interval_sums":[61894,62570,58852],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":296,"to_index":660,"sum":61894,"residue":40},{"from_index":660,"to_index":1024,"sum":62570,"residue":40},{"from_index":1024,"to_index":296,"sum":58852,"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":[296,660],"circle_positions":338,"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":[297,661,1025],"clock_positions":[297,661,1025],"native_values":[284,115,115],"rotation_degrees":97.91208791208791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,115,115],"beta":{"interval_sums":[61908,62584,58866],"interval_residues":[54,54,54],"display_cycle":[54,54,54],"intervals":[{"from_index":297,"to_index":661,"sum":61908,"residue":54},{"from_index":661,"to_index":1025,"sum":62584,"residue":54},{"from_index":1025,"to_index":297,"sum":58866,"residue":54}],"minimal_cycle":[54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[297,661],"circle_positions":338,"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":[298,662,1026],"clock_positions":[298,662,1026],"native_values":[75,75,244],"rotation_degrees":98.24175824175825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,75,244],"beta":{"interval_sums":[61948,62624,58906],"interval_residues":[94,94,94],"display_cycle":[94,94,94],"intervals":[{"from_index":298,"to_index":662,"sum":61948,"residue":94},{"from_index":662,"to_index":1026,"sum":62624,"residue":94},{"from_index":1026,"to_index":298,"sum":58906,"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":[298,662],"circle_positions":338,"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":[299,663,1027],"clock_positions":[299,663,1027],"native_values":[21,190,21],"rotation_degrees":98.57142857142857,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,190,21],"beta":{"interval_sums":[62002,62678,58960],"interval_residues":[148,148,148],"display_cycle":[148,148,148],"intervals":[{"from_index":299,"to_index":663,"sum":62002,"residue":148},{"from_index":663,"to_index":1027,"sum":62678,"residue":148},{"from_index":1027,"to_index":299,"sum":58960,"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":[299,663],"circle_positions":338,"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":[300,664,1028],"clock_positions":[300,664,1028],"native_values":[96,265,265],"rotation_degrees":98.9010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,265,265],"beta":{"interval_sums":[62096,62434,58716],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":300,"to_index":664,"sum":62096,"residue":242},{"from_index":664,"to_index":1028,"sum":62434,"residue":242},{"from_index":1028,"to_index":300,"sum":58716,"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":[300,664],"circle_positions":338,"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":[301,665,1029],"clock_positions":[301,665,1029],"native_values":[117,117,286],"rotation_degrees":99.23076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,117,286],"beta":{"interval_sums":[62244,62582,58526],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":301,"to_index":665,"sum":62244,"residue":52},{"from_index":665,"to_index":1029,"sum":62582,"residue":52},{"from_index":1029,"to_index":301,"sum":58526,"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":[301,665],"circle_positions":338,"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":[302,666,1030],"clock_positions":[302,666,1030],"native_values":[213,44,213],"rotation_degrees":99.56043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,44,213],"beta":{"interval_sums":[62148,62824,58430],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":302,"to_index":666,"sum":62148,"residue":294},{"from_index":666,"to_index":1030,"sum":62824,"residue":294},{"from_index":1030,"to_index":302,"sum":58430,"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":[302,666],"circle_positions":338,"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":[303,667,1031],"clock_positions":[303,667,1031],"native_values":[330,161,161],"rotation_degrees":99.89010989010988,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[330,161,161],"beta":{"interval_sums":[61862,62876,58482],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":303,"to_index":667,"sum":61862,"residue":8},{"from_index":667,"to_index":1031,"sum":62876,"residue":8},{"from_index":1031,"to_index":303,"sum":58482,"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":[303,667],"circle_positions":338,"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":[304,668,1032],"clock_positions":[304,668,1032],"native_values":[205,205,36],"rotation_degrees":100.21978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,205,36],"beta":{"interval_sums":[61818,62832,58776],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":304,"to_index":668,"sum":61818,"residue":302},{"from_index":668,"to_index":1032,"sum":62832,"residue":302},{"from_index":1032,"to_index":304,"sum":58776,"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":[304,668],"circle_positions":338,"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":[305,669,1033],"clock_positions":[305,669,1033],"native_values":[197,28,197],"rotation_degrees":100.54945054945055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,28,197],"beta":{"interval_sums":[61826,62840,58784],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":305,"to_index":669,"sum":61826,"residue":310},{"from_index":669,"to_index":1033,"sum":62840,"residue":310},{"from_index":1033,"to_index":305,"sum":58784,"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":[305,669],"circle_positions":338,"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":[306,670,1034],"clock_positions":[306,670,1034],"native_values":[64,233,233],"rotation_degrees":100.87912087912088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,233,233],"beta":{"interval_sums":[61790,62804,58748],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":306,"to_index":670,"sum":61790,"residue":274},{"from_index":670,"to_index":1034,"sum":62804,"residue":274},{"from_index":1034,"to_index":306,"sum":58748,"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":[306,670],"circle_positions":338,"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":[307,671,1035],"clock_positions":[307,671,1035],"native_values":[261,261,92],"rotation_degrees":101.20879120879121,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,261,92],"beta":{"interval_sums":[61762,62776,58720],"interval_residues":[246,246,246],"display_cycle":[246,246,246],"intervals":[{"from_index":307,"to_index":671,"sum":61762,"residue":246},{"from_index":671,"to_index":1035,"sum":62776,"residue":246},{"from_index":1035,"to_index":307,"sum":58720,"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":[307,671],"circle_positions":338,"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":[308,672,1036],"clock_positions":[308,672,1036],"native_values":[325,156,325],"rotation_degrees":101.53846153846153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,156,325],"beta":{"interval_sums":[61698,62712,58656],"interval_residues":[182,182,182],"display_cycle":[182,182,182],"intervals":[{"from_index":308,"to_index":672,"sum":61698,"residue":182},{"from_index":672,"to_index":1036,"sum":62712,"residue":182},{"from_index":1036,"to_index":308,"sum":58656,"residue":182}],"minimal_cycle":[182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[308,672],"circle_positions":338,"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":[309,673,1037],"clock_positions":[309,673,1037],"native_values":[248,79,79],"rotation_degrees":101.86813186813187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,79,79],"beta":{"interval_sums":[61606,62958,58902],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":309,"to_index":673,"sum":61606,"residue":90},{"from_index":673,"to_index":1037,"sum":62958,"residue":90},{"from_index":1037,"to_index":309,"sum":58902,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[309,673],"circle_positions":338,"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":[310,674,1038],"clock_positions":[310,674,1038],"native_values":[235,235,66],"rotation_degrees":102.1978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,235,66],"beta":{"interval_sums":[61450,62802,59084],"interval_residues":[272,272,272],"display_cycle":[272,272,272],"intervals":[{"from_index":310,"to_index":674,"sum":61450,"residue":272},{"from_index":674,"to_index":1038,"sum":62802,"residue":272},{"from_index":1038,"to_index":310,"sum":59084,"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":[310,674],"circle_positions":338,"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":[311,675,1039],"clock_positions":[311,675,1039],"native_values":[145,314,145],"rotation_degrees":102.52747252747253,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,314,145],"beta":{"interval_sums":[61540,62554,59174],"interval_residues":[24,24,24],"display_cycle":[24,24,24],"intervals":[{"from_index":311,"to_index":675,"sum":61540,"residue":24},{"from_index":675,"to_index":1039,"sum":62554,"residue":24},{"from_index":1039,"to_index":311,"sum":59174,"residue":24}],"minimal_cycle":[24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[311,675],"circle_positions":338,"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":[312,676,1040],"clock_positions":[312,676,1040],"native_values":[42,211,211],"rotation_degrees":102.85714285714286,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,211,211],"beta":{"interval_sums":[61812,62488,59108],"interval_residues":[296,296,296],"display_cycle":[296,296,296],"intervals":[{"from_index":312,"to_index":676,"sum":61812,"residue":296},{"from_index":676,"to_index":1040,"sum":62488,"residue":296},{"from_index":1040,"to_index":312,"sum":59108,"residue":296}],"minimal_cycle":[296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[312,676],"circle_positions":338,"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":[313,677,1041],"clock_positions":[313,677,1041],"native_values":[187,187,18],"rotation_degrees":103.18681318681318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,187,18],"beta":{"interval_sums":[61836,62512,59132],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":313,"to_index":677,"sum":61836,"residue":320},{"from_index":677,"to_index":1041,"sum":62512,"residue":320},{"from_index":1041,"to_index":313,"sum":59132,"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":[313,677],"circle_positions":338,"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":[314,678,1042],"clock_positions":[314,678,1042],"native_values":[229,60,229],"rotation_degrees":103.51648351648352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,60,229],"beta":{"interval_sums":[61794,62470,59090],"interval_residues":[278,278,278],"display_cycle":[278,278,278],"intervals":[{"from_index":314,"to_index":678,"sum":61794,"residue":278},{"from_index":678,"to_index":1042,"sum":62470,"residue":278},{"from_index":1042,"to_index":314,"sum":59090,"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":[314,678],"circle_positions":338,"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":[315,679,1043],"clock_positions":[315,679,1043],"native_values":[78,247,247],"rotation_degrees":103.84615384615384,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,247,247],"beta":{"interval_sums":[61776,62452,59072],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":315,"to_index":679,"sum":61776,"residue":260},{"from_index":679,"to_index":1043,"sum":62452,"residue":260},{"from_index":1043,"to_index":315,"sum":59072,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[315,679],"circle_positions":338,"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":[316,680,1044],"clock_positions":[316,680,1044],"native_values":[307,307,138],"rotation_degrees":104.17582417582418,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,307,138],"beta":{"interval_sums":[61716,62392,59012],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":316,"to_index":680,"sum":61716,"residue":200},{"from_index":680,"to_index":1044,"sum":62392,"residue":200},{"from_index":1044,"to_index":316,"sum":59012,"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":[316,680],"circle_positions":338,"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":[317,681,1045],"clock_positions":[317,681,1045],"native_values":[47,216,47],"rotation_degrees":104.50549450549451,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,216,47],"beta":{"interval_sums":[61976,62314,59272],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":317,"to_index":681,"sum":61976,"residue":122},{"from_index":681,"to_index":1045,"sum":62314,"residue":122},{"from_index":1045,"to_index":317,"sum":59272,"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":[317,681],"circle_positions":338,"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":[318,682,1046],"clock_positions":[318,682,1046],"native_values":[16,185,185],"rotation_degrees":104.83516483516483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,185,185],"beta":{"interval_sums":[62176,62176,59134],"interval_residues":[322,322,322],"display_cycle":[322,322,322],"intervals":[{"from_index":318,"to_index":682,"sum":62176,"residue":322},{"from_index":682,"to_index":1046,"sum":62176,"residue":322},{"from_index":1046,"to_index":318,"sum":59134,"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":[318,682],"circle_positions":338,"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":[319,683,1047],"clock_positions":[319,683,1047],"native_values":[63,63,232],"rotation_degrees":105.16483516483517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[63,63,232],"beta":{"interval_sums":[62298,62298,58918],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":319,"to_index":683,"sum":62298,"residue":106},{"from_index":683,"to_index":1047,"sum":62298,"residue":106},{"from_index":1047,"to_index":319,"sum":58918,"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":[319,683],"circle_positions":338,"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":[320,684,1048],"clock_positions":[320,684,1048],"native_values":[79,248,79],"rotation_degrees":105.49450549450549,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,248,79],"beta":{"interval_sums":[62282,62282,58902],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":320,"to_index":684,"sum":62282,"residue":90},{"from_index":684,"to_index":1048,"sum":62282,"residue":90},{"from_index":1048,"to_index":320,"sum":58902,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[320,684],"circle_positions":338,"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":[321,685,1049],"clock_positions":[321,685,1049],"native_values":[142,311,311],"rotation_degrees":105.82417582417582,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[142,311,311],"beta":{"interval_sums":[62388,62050,58670],"interval_residues":[196,196,196],"display_cycle":[196,196,196],"intervals":[{"from_index":321,"to_index":685,"sum":62388,"residue":196},{"from_index":685,"to_index":1049,"sum":62050,"residue":196},{"from_index":1049,"to_index":321,"sum":58670,"residue":196}],"minimal_cycle":[196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[321,685],"circle_positions":338,"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":[322,686,1050],"clock_positions":[322,686,1050],"native_values":[221,221,52],"rotation_degrees":106.15384615384616,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,52],"beta":{"interval_sums":[62478,62140,58760],"interval_residues":[286,286,286],"display_cycle":[286,286,286],"intervals":[{"from_index":322,"to_index":686,"sum":62478,"residue":286},{"from_index":686,"to_index":1050,"sum":62140,"residue":286},{"from_index":1050,"to_index":322,"sum":58760,"residue":286}],"minimal_cycle":[286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[322,686],"circle_positions":338,"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":[323,687,1051],"clock_positions":[323,687,1051],"native_values":[25,194,25],"rotation_degrees":106.48351648351648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,194,25],"beta":{"interval_sums":[62674,61998,58956],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":323,"to_index":687,"sum":62674,"residue":144},{"from_index":687,"to_index":1051,"sum":61998,"residue":144},{"from_index":1051,"to_index":323,"sum":58956,"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":[323,687],"circle_positions":338,"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":[324,688,1052],"clock_positions":[324,688,1052],"native_values":[246,77,77],"rotation_degrees":106.81318681318682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[246,77,77],"beta":{"interval_sums":[62622,61946,58904],"interval_residues":[92,92,92],"display_cycle":[92,92,92],"intervals":[{"from_index":324,"to_index":688,"sum":62622,"residue":92},{"from_index":688,"to_index":1052,"sum":61946,"residue":92},{"from_index":1052,"to_index":324,"sum":58904,"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":[324,688],"circle_positions":338,"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":[325,689,1053],"clock_positions":[325,689,1053],"native_values":[271,271,102],"rotation_degrees":107.14285714285714,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[271,271,102],"beta":{"interval_sums":[62428,61752,59048],"interval_residues":[236,236,236],"display_cycle":[236,236,236],"intervals":[{"from_index":325,"to_index":689,"sum":62428,"residue":236},{"from_index":689,"to_index":1053,"sum":61752,"residue":236},{"from_index":1053,"to_index":325,"sum":59048,"residue":236}],"minimal_cycle":[236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[325,689],"circle_positions":338,"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":[326,690,1054],"clock_positions":[326,690,1054],"native_values":[179,10,179],"rotation_degrees":107.47252747252747,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[179,10,179],"beta":{"interval_sums":[62520,61844,59140],"interval_residues":[328,328,328],"display_cycle":[328,328,328],"intervals":[{"from_index":326,"to_index":690,"sum":62520,"residue":328},{"from_index":690,"to_index":1054,"sum":61844,"residue":328},{"from_index":1054,"to_index":326,"sum":59140,"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":[326,690],"circle_positions":338,"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":[327,691,1055],"clock_positions":[327,691,1055],"native_values":[112,281,281],"rotation_degrees":107.8021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,281,281],"beta":{"interval_sums":[62418,61742,59038],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":327,"to_index":691,"sum":62418,"residue":226},{"from_index":691,"to_index":1055,"sum":61742,"residue":226},{"from_index":1055,"to_index":327,"sum":59038,"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":[327,691],"circle_positions":338,"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":[328,692,1056],"clock_positions":[328,692,1056],"native_values":[291,291,122],"rotation_degrees":108.13186813186813,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,291,122],"beta":{"interval_sums":[62408,61732,59028],"interval_residues":[216,216,216],"display_cycle":[216,216,216],"intervals":[{"from_index":328,"to_index":692,"sum":62408,"residue":216},{"from_index":692,"to_index":1056,"sum":61732,"residue":216},{"from_index":1056,"to_index":328,"sum":59028,"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":[328,692],"circle_positions":338,"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":[329,693,1057],"clock_positions":[329,693,1057],"native_values":[65,234,65],"rotation_degrees":108.46153846153847,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,234,65],"beta":{"interval_sums":[62634,61620,59254],"interval_residues":[104,104,104],"display_cycle":[104,104,104],"intervals":[{"from_index":329,"to_index":693,"sum":62634,"residue":104},{"from_index":693,"to_index":1057,"sum":61620,"residue":104},{"from_index":1057,"to_index":329,"sum":59254,"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":[329,693],"circle_positions":338,"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":[330,694,1058],"clock_positions":[330,694,1058],"native_values":[18,187,187],"rotation_degrees":108.79120879120879,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,187,187],"beta":{"interval_sums":[62850,61498,59132],"interval_residues":[320,320,320],"display_cycle":[320,320,320],"intervals":[{"from_index":330,"to_index":694,"sum":62850,"residue":320},{"from_index":694,"to_index":1058,"sum":61498,"residue":320},{"from_index":1058,"to_index":330,"sum":59132,"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":[330,694],"circle_positions":338,"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":[331,695,1059],"clock_positions":[331,695,1059],"native_values":[83,83,252],"rotation_degrees":109.12087912087912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,83,252],"beta":{"interval_sums":[62954,61602,58898],"interval_residues":[86,86,86],"display_cycle":[86,86,86],"intervals":[{"from_index":331,"to_index":695,"sum":62954,"residue":86},{"from_index":695,"to_index":1059,"sum":61602,"residue":86},{"from_index":1059,"to_index":331,"sum":58898,"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":[331,695],"circle_positions":338,"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":[332,696,1060],"clock_positions":[332,696,1060],"native_values":[101,270,101],"rotation_degrees":109.45054945054945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,270,101],"beta":{"interval_sums":[62936,61584,58880],"interval_residues":[68,68,68],"display_cycle":[68,68,68],"intervals":[{"from_index":332,"to_index":696,"sum":62936,"residue":68},{"from_index":696,"to_index":1060,"sum":61584,"residue":68},{"from_index":1060,"to_index":332,"sum":58880,"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":[332,696],"circle_positions":338,"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":[333,697,1061],"clock_positions":[333,697,1061],"native_values":[184,15,15],"rotation_degrees":109.78021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,15,15],"beta":{"interval_sums":[63022,61670,58966],"interval_residues":[154,154,154],"display_cycle":[154,154,154],"intervals":[{"from_index":333,"to_index":697,"sum":63022,"residue":154},{"from_index":697,"to_index":1061,"sum":61670,"residue":154},{"from_index":1061,"to_index":333,"sum":58966,"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":[333,697],"circle_positions":338,"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":[334,698,1062],"clock_positions":[334,698,1062],"native_values":[285,285,116],"rotation_degrees":110.10989010989012,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,285,116],"beta":{"interval_sums":[62752,61400,59034],"interval_residues":[222,222,222],"display_cycle":[222,222,222],"intervals":[{"from_index":334,"to_index":698,"sum":62752,"residue":222},{"from_index":698,"to_index":1062,"sum":61400,"residue":222},{"from_index":1062,"to_index":334,"sum":59034,"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":[334,698],"circle_positions":338,"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":[335,699,1063],"clock_positions":[335,699,1063],"native_values":[131,300,131],"rotation_degrees":110.43956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,300,131],"beta":{"interval_sums":[62906,61216,59188],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":335,"to_index":699,"sum":62906,"residue":38},{"from_index":699,"to_index":1063,"sum":61216,"residue":38},{"from_index":1063,"to_index":335,"sum":59188,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[335,699],"circle_positions":338,"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":[336,700,1064],"clock_positions":[336,700,1064],"native_values":[78,247,247],"rotation_degrees":110.76923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[78,247,247],"beta":{"interval_sums":[63128,61100,59072],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":336,"to_index":700,"sum":63128,"residue":260},{"from_index":700,"to_index":1064,"sum":61100,"residue":260},{"from_index":1064,"to_index":336,"sum":59072,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[336,700],"circle_positions":338,"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":[337,701,1065],"clock_positions":[337,701,1065],"native_values":[209,209,40],"rotation_degrees":111.0989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,209,40],"beta":{"interval_sums":[63166,61138,59110],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":337,"to_index":701,"sum":63166,"residue":298},{"from_index":701,"to_index":1065,"sum":61138,"residue":298},{"from_index":1065,"to_index":337,"sum":59110,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[337,701],"circle_positions":338,"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":[338,702,1066],"clock_positions":[338,702,1066],"native_values":[287,118,287],"rotation_degrees":111.42857142857143,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,118,287],"beta":{"interval_sums":[63088,61060,59032],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":338,"to_index":702,"sum":63088,"residue":220},{"from_index":702,"to_index":1066,"sum":61060,"residue":220},{"from_index":1066,"to_index":338,"sum":59032,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[338,702],"circle_positions":338,"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":[339,703,1067],"clock_positions":[339,703,1067],"native_values":[158,327,327],"rotation_degrees":111.75824175824175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,327,327],"beta":{"interval_sums":[63048,61020,58992],"interval_residues":[180,180,180],"display_cycle":[180,180,180],"intervals":[{"from_index":339,"to_index":703,"sum":63048,"residue":180},{"from_index":703,"to_index":1067,"sum":61020,"residue":180},{"from_index":1067,"to_index":339,"sum":58992,"residue":180}],"minimal_cycle":[180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[339,703],"circle_positions":338,"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":[340,704,1068],"clock_positions":[340,704,1068],"native_values":[107,107,276],"rotation_degrees":112.08791208791209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,107,276],"beta":{"interval_sums":[63268,61240,58874],"interval_residues":[62,62,62],"display_cycle":[62,62,62],"intervals":[{"from_index":340,"to_index":704,"sum":63268,"residue":62},{"from_index":704,"to_index":1068,"sum":61240,"residue":62},{"from_index":1068,"to_index":340,"sum":58874,"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":[340,704],"circle_positions":338,"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":[341,705,1069],"clock_positions":[341,705,1069],"native_values":[265,96,265],"rotation_degrees":112.41758241758242,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,96,265],"beta":{"interval_sums":[63110,61420,58716],"interval_residues":[242,242,242],"display_cycle":[242,242,242],"intervals":[{"from_index":341,"to_index":705,"sum":63110,"residue":242},{"from_index":705,"to_index":1069,"sum":61420,"residue":242},{"from_index":1069,"to_index":341,"sum":58716,"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":[341,705],"circle_positions":338,"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":[342,706,1070],"clock_positions":[342,706,1070],"native_values":[34,203,203],"rotation_degrees":112.74725274725274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,203,203],"beta":{"interval_sums":[63172,61482,58778],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":342,"to_index":706,"sum":63172,"residue":304},{"from_index":706,"to_index":1070,"sum":61482,"residue":304},{"from_index":1070,"to_index":342,"sum":58778,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[342,706],"circle_positions":338,"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":[343,707,1071],"clock_positions":[343,707,1071],"native_values":[299,299,130],"rotation_degrees":113.07692307692308,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,299,130],"beta":{"interval_sums":[63076,61386,58682],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":343,"to_index":707,"sum":63076,"residue":208},{"from_index":707,"to_index":1071,"sum":61386,"residue":208},{"from_index":1071,"to_index":343,"sum":58682,"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":[343,707],"circle_positions":338,"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":[344,708,1072],"clock_positions":[344,708,1072],"native_values":[333,164,333],"rotation_degrees":113.4065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,164,333],"beta":{"interval_sums":[63042,61352,58648],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":344,"to_index":708,"sum":63042,"residue":174},{"from_index":708,"to_index":1072,"sum":61352,"residue":174},{"from_index":1072,"to_index":344,"sum":58648,"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":[344,708],"circle_positions":338,"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":[345,709,1073],"clock_positions":[345,709,1073],"native_values":[294,125,125],"rotation_degrees":113.73626373626374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,125,125],"beta":{"interval_sums":[62912,61560,58856],"interval_residues":[44,44,44],"display_cycle":[44,44,44],"intervals":[{"from_index":345,"to_index":709,"sum":62912,"residue":44},{"from_index":709,"to_index":1073,"sum":61560,"residue":44},{"from_index":1073,"to_index":345,"sum":58856,"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":[345,709],"circle_positions":338,"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":[346,710,1074],"clock_positions":[346,710,1074],"native_values":[289,289,120],"rotation_degrees":114.06593406593407,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,289,120],"beta":{"interval_sums":[62748,61396,59030],"interval_residues":[218,218,218],"display_cycle":[218,218,218],"intervals":[{"from_index":346,"to_index":710,"sum":62748,"residue":218},{"from_index":710,"to_index":1074,"sum":61396,"residue":218},{"from_index":1074,"to_index":346,"sum":59030,"residue":218}],"minimal_cycle":[218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[346,710],"circle_positions":338,"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":[347,711,1075],"clock_positions":[347,711,1075],"native_values":[245,76,245],"rotation_degrees":114.3956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,76,245],"beta":{"interval_sums":[62792,61440,59074],"interval_residues":[262,262,262],"display_cycle":[262,262,262],"intervals":[{"from_index":347,"to_index":711,"sum":62792,"residue":262},{"from_index":711,"to_index":1075,"sum":61440,"residue":262},{"from_index":1075,"to_index":347,"sum":59074,"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":[347,711],"circle_positions":338,"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":[348,712,1076],"clock_positions":[348,712,1076],"native_values":[196,27,27],"rotation_degrees":114.72527472527473,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[196,27,27],"beta":{"interval_sums":[62672,61658,59292],"interval_residues":[142,142,142],"display_cycle":[142,142,142],"intervals":[{"from_index":348,"to_index":712,"sum":62672,"residue":142},{"from_index":712,"to_index":1076,"sum":61658,"residue":142},{"from_index":1076,"to_index":348,"sum":59292,"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":[348,712],"circle_positions":338,"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":[349,713,1077],"clock_positions":[349,713,1077],"native_values":[103,103,272],"rotation_degrees":115.05494505494505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,103,272],"beta":{"interval_sums":[62596,61582,59216],"interval_residues":[66,66,66],"display_cycle":[66,66,66],"intervals":[{"from_index":349,"to_index":713,"sum":62596,"residue":66},{"from_index":713,"to_index":1077,"sum":61582,"residue":66},{"from_index":1077,"to_index":349,"sum":59216,"residue":66}],"minimal_cycle":[66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[349,713],"circle_positions":338,"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":[350,714,1078],"clock_positions":[350,714,1078],"native_values":[299,130,299],"rotation_degrees":115.38461538461539,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,130,299],"beta":{"interval_sums":[62400,61724,59020],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":350,"to_index":714,"sum":62400,"residue":208},{"from_index":714,"to_index":1078,"sum":61724,"residue":208},{"from_index":1078,"to_index":350,"sum":59020,"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":[350,714],"circle_positions":338,"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":[351,715,1079],"clock_positions":[351,715,1079],"native_values":[64,233,233],"rotation_degrees":115.71428571428571,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,233,233],"beta":{"interval_sums":[62466,61790,59086],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":351,"to_index":715,"sum":62466,"residue":274},{"from_index":715,"to_index":1079,"sum":61790,"residue":274},{"from_index":1079,"to_index":351,"sum":59086,"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":[351,715],"circle_positions":338,"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":[352,716,1080],"clock_positions":[352,716,1080],"native_values":[25,25,194],"rotation_degrees":116.04395604395604,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,25,194],"beta":{"interval_sums":[62674,61998,58956],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":352,"to_index":716,"sum":62674,"residue":144},{"from_index":716,"to_index":1080,"sum":61998,"residue":144},{"from_index":1080,"to_index":352,"sum":58956,"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":[352,716],"circle_positions":338,"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":[353,717,1081],"clock_positions":[353,717,1081],"native_values":[89,258,89],"rotation_degrees":116.37362637362638,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,258,89],"beta":{"interval_sums":[62610,61934,58892],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":353,"to_index":717,"sum":62610,"residue":80},{"from_index":717,"to_index":1081,"sum":61934,"residue":80},{"from_index":1081,"to_index":353,"sum":58892,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[353,717],"circle_positions":338,"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":[354,718,1082],"clock_positions":[354,718,1082],"native_values":[114,283,283],"rotation_degrees":116.7032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[114,283,283],"beta":{"interval_sums":[62754,61740,58698],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":354,"to_index":718,"sum":62754,"residue":224},{"from_index":718,"to_index":1082,"sum":61740,"residue":224},{"from_index":1082,"to_index":354,"sum":58698,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[354,718],"circle_positions":338,"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":[355,719,1083],"clock_positions":[355,719,1083],"native_values":[203,203,34],"rotation_degrees":117.03296703296704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[203,203,34],"beta":{"interval_sums":[62834,61820,58778],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":355,"to_index":719,"sum":62834,"residue":304},{"from_index":719,"to_index":1083,"sum":61820,"residue":304},{"from_index":1083,"to_index":355,"sum":58778,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[355,719],"circle_positions":338,"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":[356,720,1084],"clock_positions":[356,720,1084],"native_values":[317,148,317],"rotation_degrees":117.36263736263736,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,148,317],"beta":{"interval_sums":[62720,61706,58664],"interval_residues":[190,190,190],"display_cycle":[190,190,190],"intervals":[{"from_index":356,"to_index":720,"sum":62720,"residue":190},{"from_index":720,"to_index":1084,"sum":61706,"residue":190},{"from_index":1084,"to_index":356,"sum":58664,"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":[356,720],"circle_positions":338,"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":[357,721,1085],"clock_positions":[357,721,1085],"native_values":[182,13,13],"rotation_degrees":117.6923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,13,13],"beta":{"interval_sums":[62686,62010,58968],"interval_residues":[156,156,156],"display_cycle":[156,156,156],"intervals":[{"from_index":357,"to_index":721,"sum":62686,"residue":156},{"from_index":721,"to_index":1085,"sum":62010,"residue":156},{"from_index":1085,"to_index":357,"sum":58968,"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":[357,721],"circle_positions":338,"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":[358,722,1086],"clock_positions":[358,722,1086],"native_values":[161,161,330],"rotation_degrees":118.02197802197803,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,161,330],"beta":{"interval_sums":[62538,61862,58820],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":358,"to_index":722,"sum":62538,"residue":8},{"from_index":722,"to_index":1086,"sum":61862,"residue":8},{"from_index":1086,"to_index":358,"sum":58820,"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":[358,722],"circle_positions":338,"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":[359,723,1087],"clock_positions":[359,723,1087],"native_values":[5,174,5],"rotation_degrees":118.35164835164835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,174,5],"beta":{"interval_sums":[62694,62018,58976],"interval_residues":[164,164,164],"display_cycle":[164,164,164],"intervals":[{"from_index":359,"to_index":723,"sum":62694,"residue":164},{"from_index":723,"to_index":1087,"sum":62018,"residue":164},{"from_index":1087,"to_index":359,"sum":58976,"residue":164}],"minimal_cycle":[164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[359,723],"circle_positions":338,"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":[360,724,1088],"clock_positions":[360,724,1088],"native_values":[166,335,335],"rotation_degrees":118.68131868131869,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[166,335,335],"beta":{"interval_sums":[62702,61688,58646],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":360,"to_index":724,"sum":62702,"residue":172},{"from_index":724,"to_index":1088,"sum":61688,"residue":172},{"from_index":1088,"to_index":360,"sum":58646,"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":[360,724],"circle_positions":338,"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":[361,725,1089],"clock_positions":[361,725,1089],"native_values":[171,171,2],"rotation_degrees":119.01098901098901,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,171,2],"beta":{"interval_sums":[62866,61852,58810],"interval_residues":[336,336,336],"display_cycle":[336,336,336],"intervals":[{"from_index":361,"to_index":725,"sum":62866,"residue":336},{"from_index":725,"to_index":1089,"sum":61852,"residue":336},{"from_index":1089,"to_index":361,"sum":58810,"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":[361,725],"circle_positions":338,"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":[362,726,1090],"clock_positions":[362,726,1090],"native_values":[337,168,337],"rotation_degrees":119.34065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,168,337],"beta":{"interval_sums":[62700,61686,58644],"interval_residues":[170,170,170],"display_cycle":[170,170,170],"intervals":[{"from_index":362,"to_index":726,"sum":62700,"residue":170},{"from_index":726,"to_index":1090,"sum":61686,"residue":170},{"from_index":1090,"to_index":362,"sum":58644,"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":[362,726],"circle_positions":338,"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":[363,727,1091],"clock_positions":[363,727,1091],"native_values":[170,1,1],"rotation_degrees":119.67032967032966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,1,1],"beta":{"interval_sums":[62698,62022,58980],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":363,"to_index":727,"sum":62698,"residue":168},{"from_index":727,"to_index":1091,"sum":62022,"residue":168},{"from_index":1091,"to_index":363,"sum":58980,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[363,727],"circle_positions":338,"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":[0,182,364,546,728,910],"clock_positions":[1092,182,364,546,728,910],"native_values":[338,169,169,338,169,169],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,169,169],"beta":{"interval_sums":[27883,31098,29235,33295,29742,31943],"interval_residues":[167,2,167,171,336,171],"display_cycle":[167,2,167,171,336,171],"intervals":[{"from_index":0,"to_index":182,"sum":27883,"residue":167},{"from_index":182,"to_index":364,"sum":31098,"residue":2},{"from_index":364,"to_index":546,"sum":29235,"residue":167},{"from_index":546,"to_index":728,"sum":33295,"residue":171},{"from_index":728,"to_index":910,"sum":29742,"residue":336},{"from_index":910,"to_index":0,"sum":31943,"residue":171}],"minimal_cycle":[167,2,167,171,336,171],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":167,"start_interval_clock_positions":[1092,182],"circle_positions":338,"cycle_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":[1,183,365,547,729,911],"clock_positions":[1,183,365,547,729,911],"native_values":[1,168,1,337,170,337],"rotation_degrees":0.32967032967032966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,168,1,337,170,337],"beta":{"interval_sums":[28051,31099,29234,33127,29741,31606],"interval_residues":[335,3,166,3,335,172],"display_cycle":[335,3,166,3,335,172],"intervals":[{"from_index":1,"to_index":183,"sum":28051,"residue":335},{"from_index":183,"to_index":365,"sum":31099,"residue":3},{"from_index":365,"to_index":547,"sum":29234,"residue":166},{"from_index":547,"to_index":729,"sum":33127,"residue":3},{"from_index":729,"to_index":911,"sum":29741,"residue":335},{"from_index":911,"to_index":1,"sum":31606,"residue":172}],"minimal_cycle":[335,3,166,3,335,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[1,183],"circle_positions":338,"cycle_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":[2,184,366,548,730,912],"clock_positions":[2,184,366,548,730,912],"native_values":[1,337,170,337,1,168],"rotation_degrees":0.6593406593406593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,337,170,337,1,168],"beta":{"interval_sums":[28218,30763,29401,32960,30077,31439],"interval_residues":[164,5,333,174,333,5],"display_cycle":[164,5,333,174,333,5],"intervals":[{"from_index":2,"to_index":184,"sum":28218,"residue":164},{"from_index":184,"to_index":366,"sum":30763,"residue":5},{"from_index":366,"to_index":548,"sum":29401,"residue":333},{"from_index":548,"to_index":730,"sum":32960,"residue":174},{"from_index":730,"to_index":912,"sum":30077,"residue":333},{"from_index":912,"to_index":2,"sum":31439,"residue":5}],"minimal_cycle":[164,5,333,174,333,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[2,184],"circle_positions":338,"cycle_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":[3,185,367,549,731,913],"clock_positions":[3,185,367,549,731,913],"native_values":[2,167,171,336,171,167],"rotation_degrees":0.989010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,167,171,336,171,167],"beta":{"interval_sums":[28553,30766,29567,32625,30074,31273],"interval_residues":[161,8,161,177,330,177],"display_cycle":[161,8,161,177,330,177],"intervals":[{"from_index":3,"to_index":185,"sum":28553,"residue":161},{"from_index":185,"to_index":367,"sum":30766,"residue":8},{"from_index":367,"to_index":549,"sum":29567,"residue":161},{"from_index":549,"to_index":731,"sum":32625,"residue":177},{"from_index":731,"to_index":913,"sum":30074,"residue":330},{"from_index":913,"to_index":3,"sum":31273,"residue":177}],"minimal_cycle":[161,8,161,177,330,177],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":161,"start_interval_clock_positions":[3,185],"circle_positions":338,"cycle_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":[4,186,368,550,732,914],"clock_positions":[4,186,368,550,732,914],"native_values":[3,166,3,335,172,335],"rotation_degrees":1.3186813186813187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,166,3,335,172,335],"beta":{"interval_sums":[28717,30771,29900,32461,30069,30940],"interval_residues":[325,13,156,13,325,182],"display_cycle":[325,13,156,13,325,182],"intervals":[{"from_index":4,"to_index":186,"sum":28717,"residue":325},{"from_index":186,"to_index":368,"sum":30771,"residue":13},{"from_index":368,"to_index":550,"sum":29900,"residue":156},{"from_index":550,"to_index":732,"sum":32461,"residue":13},{"from_index":732,"to_index":914,"sum":30069,"residue":325},{"from_index":914,"to_index":4,"sum":30940,"residue":182}],"minimal_cycle":[325,13,156,13,325,182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[4,186],"circle_positions":338,"cycle_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":[5,187,369,551,733,915],"clock_positions":[5,187,369,551,733,915],"native_values":[5,333,174,333,5,164],"rotation_degrees":1.6483516483516483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,333,174,333,5,164],"beta":{"interval_sums":[28878,30441,30061,32300,30399,30779],"interval_residues":[148,21,317,190,317,21],"display_cycle":[148,21,317,190,317,21],"intervals":[{"from_index":5,"to_index":187,"sum":28878,"residue":148},{"from_index":187,"to_index":369,"sum":30441,"residue":21},{"from_index":369,"to_index":551,"sum":30061,"residue":317},{"from_index":551,"to_index":733,"sum":32300,"residue":190},{"from_index":733,"to_index":915,"sum":30399,"residue":317},{"from_index":915,"to_index":5,"sum":30779,"residue":21}],"minimal_cycle":[148,21,317,190,317,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[5,187],"circle_positions":338,"cycle_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":[6,188,370,552,734,916],"clock_positions":[6,188,370,552,734,916],"native_values":[8,161,177,330,177,161],"rotation_degrees":1.978021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,161,177,330,177,161],"beta":{"interval_sums":[29203,30454,30217,31975,30386,30623],"interval_residues":[135,34,135,203,304,203],"display_cycle":[135,34,135,203,304,203],"intervals":[{"from_index":6,"to_index":188,"sum":29203,"residue":135},{"from_index":188,"to_index":370,"sum":30454,"residue":34},{"from_index":370,"to_index":552,"sum":30217,"residue":135},{"from_index":552,"to_index":734,"sum":31975,"residue":203},{"from_index":734,"to_index":916,"sum":30386,"residue":304},{"from_index":916,"to_index":6,"sum":30623,"residue":203}],"minimal_cycle":[135,34,135,203,304,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":135,"start_interval_clock_positions":[6,188],"circle_positions":338,"cycle_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":[7,189,371,553,735,917],"clock_positions":[7,189,371,553,735,917],"native_values":[13,156,13,325,182,325],"rotation_degrees":2.3076923076923075,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,156,13,325,182,325],"beta":{"interval_sums":[29351,30475,30534,31827,30365,30306],"interval_residues":[283,55,114,55,283,224],"display_cycle":[283,55,114,55,283,224],"intervals":[{"from_index":7,"to_index":189,"sum":29351,"residue":283},{"from_index":189,"to_index":371,"sum":30475,"residue":55},{"from_index":371,"to_index":553,"sum":30534,"residue":114},{"from_index":553,"to_index":735,"sum":31827,"residue":55},{"from_index":735,"to_index":917,"sum":30365,"residue":283},{"from_index":917,"to_index":7,"sum":30306,"residue":224}],"minimal_cycle":[283,55,114,55,283,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[7,189],"circle_positions":338,"cycle_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":[8,190,372,554,736,918],"clock_positions":[8,190,372,554,736,918],"native_values":[21,317,190,317,21,148],"rotation_degrees":2.6373626373626373,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,317,190,317,21,148],"beta":{"interval_sums":[29486,30171,30669,31692,30669,30171],"interval_residues":[80,89,249,258,249,89],"display_cycle":[80,89,249,258,249,89],"intervals":[{"from_index":8,"to_index":190,"sum":29486,"residue":80},{"from_index":190,"to_index":372,"sum":30171,"residue":89},{"from_index":372,"to_index":554,"sum":30669,"residue":249},{"from_index":554,"to_index":736,"sum":31692,"residue":258},{"from_index":736,"to_index":918,"sum":30669,"residue":249},{"from_index":918,"to_index":8,"sum":30171,"residue":89}],"minimal_cycle":[80,89,249,258,249,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[8,190],"circle_positions":338,"cycle_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":[9,191,373,555,737,919],"clock_positions":[9,191,373,555,737,919],"native_values":[34,135,203,304,203,135],"rotation_degrees":2.967032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,135,203,304,203,135],"beta":{"interval_sums":[29769,30226,30783,31409,30614,30057],"interval_residues":[25,144,25,313,194,313],"display_cycle":[25,144,25,313,194,313],"intervals":[{"from_index":9,"to_index":191,"sum":29769,"residue":25},{"from_index":191,"to_index":373,"sum":30226,"residue":144},{"from_index":373,"to_index":555,"sum":30783,"residue":25},{"from_index":555,"to_index":737,"sum":31409,"residue":313},{"from_index":737,"to_index":919,"sum":30614,"residue":194},{"from_index":919,"to_index":9,"sum":30057,"residue":313}],"minimal_cycle":[25,144,25,313,194,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[9,191],"circle_positions":338,"cycle_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":[10,192,374,556,738,920],"clock_positions":[10,192,374,556,738,920],"native_values":[55,114,55,283,224,283],"rotation_degrees":3.2967032967032965,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,114,55,283,224,283],"beta":{"interval_sums":[29849,30315,31032,31329,30525,29808],"interval_residues":[105,233,274,233,105,64],"display_cycle":[105,233,274,233,105,64],"intervals":[{"from_index":10,"to_index":192,"sum":29849,"residue":105},{"from_index":192,"to_index":374,"sum":30315,"residue":233},{"from_index":374,"to_index":556,"sum":31032,"residue":274},{"from_index":556,"to_index":738,"sum":31329,"residue":233},{"from_index":738,"to_index":920,"sum":30525,"residue":105},{"from_index":920,"to_index":10,"sum":29808,"residue":64}],"minimal_cycle":[105,233,274,233,105,64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[10,192],"circle_positions":338,"cycle_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":[11,193,375,557,739,921],"clock_positions":[11,193,375,557,739,921],"native_values":[89,249,258,249,89,80],"rotation_degrees":3.6263736263736264,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,249,258,249,89,80],"beta":{"interval_sums":[29874,30121,31057,31304,30719,29783],"interval_residues":[130,39,299,208,299,39],"display_cycle":[130,39,299,208,299,39],"intervals":[{"from_index":11,"to_index":193,"sum":29874,"residue":130},{"from_index":193,"to_index":375,"sum":30121,"residue":39},{"from_index":375,"to_index":557,"sum":31057,"residue":299},{"from_index":557,"to_index":739,"sum":31304,"residue":208},{"from_index":739,"to_index":921,"sum":30719,"residue":299},{"from_index":921,"to_index":11,"sum":29783,"residue":39}],"minimal_cycle":[130,39,299,208,299,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[11,193],"circle_positions":338,"cycle_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":[12,194,376,558,740,922],"clock_positions":[12,194,376,558,740,922],"native_values":[144,25,313,194,313,25],"rotation_degrees":3.956043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,25,313,194,313,25],"beta":{"interval_sums":[29979,30354,30993,31199,30486,29847],"interval_residues":[235,272,235,103,66,103],"display_cycle":[235,272,235,103,66,103],"intervals":[{"from_index":12,"to_index":194,"sum":29979,"residue":235},{"from_index":194,"to_index":376,"sum":30354,"residue":272},{"from_index":376,"to_index":558,"sum":30993,"residue":235},{"from_index":558,"to_index":740,"sum":31199,"residue":103},{"from_index":740,"to_index":922,"sum":30486,"residue":66},{"from_index":922,"to_index":12,"sum":29847,"residue":103}],"minimal_cycle":[235,272,235,103,66,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[12,194],"circle_positions":338,"cycle_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":[13,195,377,559,741,923],"clock_positions":[13,195,377,559,741,923],"native_values":[233,274,233,105,64,105],"rotation_degrees":4.285714285714286,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,274,233,105,64,105],"beta":{"interval_sums":[29771,30393,30954,31407,30447,29886],"interval_residues":[27,311,196,311,27,142],"display_cycle":[27,311,196,311,27,142],"intervals":[{"from_index":13,"to_index":195,"sum":29771,"residue":27},{"from_index":195,"to_index":377,"sum":30393,"residue":311},{"from_index":377,"to_index":559,"sum":30954,"residue":196},{"from_index":559,"to_index":741,"sum":31407,"residue":311},{"from_index":741,"to_index":923,"sum":30447,"residue":27},{"from_index":923,"to_index":13,"sum":29886,"residue":142}],"minimal_cycle":[27,311,196,311,27,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[13,195],"circle_positions":338,"cycle_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":[14,196,378,560,742,924],"clock_positions":[14,196,378,560,742,924],"native_values":[39,299,208,299,39,130],"rotation_degrees":4.615384615384615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,299,208,299,39,130],"beta":{"interval_sums":[30006,30327,30851,31172,30513,29989],"interval_residues":[262,245,93,76,93,245],"display_cycle":[262,245,93,76,93,245],"intervals":[{"from_index":14,"to_index":196,"sum":30006,"residue":262},{"from_index":196,"to_index":378,"sum":30327,"residue":245},{"from_index":378,"to_index":560,"sum":30851,"residue":93},{"from_index":560,"to_index":742,"sum":31172,"residue":76},{"from_index":742,"to_index":924,"sum":30513,"residue":93},{"from_index":924,"to_index":14,"sum":29989,"residue":245}],"minimal_cycle":[262,245,93,76,93,245],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[14,196],"circle_positions":338,"cycle_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":[15,197,379,561,743,925],"clock_positions":[15,197,379,561,743,925],"native_values":[272,235,103,66,103,235],"rotation_degrees":4.945054945054945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,235,103,66,103,235],"beta":{"interval_sums":[30033,30300,31047,31145,30540,29793],"interval_residues":[289,218,289,49,120,49],"display_cycle":[289,218,289,49,120,49],"intervals":[{"from_index":15,"to_index":197,"sum":30033,"residue":289},{"from_index":197,"to_index":379,"sum":30300,"residue":218},{"from_index":379,"to_index":561,"sum":31047,"residue":289},{"from_index":561,"to_index":743,"sum":31145,"residue":49},{"from_index":743,"to_index":925,"sum":30540,"residue":120},{"from_index":925,"to_index":15,"sum":29793,"residue":49}],"minimal_cycle":[289,218,289,49,120,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[15,197],"circle_positions":338,"cycle_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":[16,198,380,562,744,926],"clock_positions":[16,198,380,562,744,926],"native_values":[311,196,311,27,142,27],"rotation_degrees":5.274725274725275,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,196,311,27,142,27],"beta":{"interval_sums":[29957,30207,30802,31221,30633,30038],"interval_residues":[213,125,44,125,213,294],"display_cycle":[213,125,44,125,213,294],"intervals":[{"from_index":16,"to_index":198,"sum":29957,"residue":213},{"from_index":198,"to_index":380,"sum":30207,"residue":125},{"from_index":380,"to_index":562,"sum":30802,"residue":44},{"from_index":562,"to_index":744,"sum":31221,"residue":125},{"from_index":744,"to_index":926,"sum":30633,"residue":213},{"from_index":926,"to_index":16,"sum":30038,"residue":294}],"minimal_cycle":[213,125,44,125,213,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[16,198],"circle_positions":338,"cycle_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":[17,199,381,563,745,927],"clock_positions":[17,199,381,563,745,927],"native_values":[245,93,76,93,245,262],"rotation_degrees":5.604395604395604,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,93,76,93,245,262],"beta":{"interval_sums":[29908,30425,30753,31270,30415,30087],"interval_residues":[164,5,333,174,333,5],"display_cycle":[164,5,333,174,333,5],"intervals":[{"from_index":17,"to_index":199,"sum":29908,"residue":164},{"from_index":199,"to_index":381,"sum":30425,"residue":5},{"from_index":381,"to_index":563,"sum":30753,"residue":333},{"from_index":563,"to_index":745,"sum":31270,"residue":174},{"from_index":745,"to_index":927,"sum":30415,"residue":333},{"from_index":927,"to_index":17,"sum":30087,"residue":5}],"minimal_cycle":[164,5,333,174,333,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[17,199],"circle_positions":338,"cycle_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":[18,200,382,564,746,928],"clock_positions":[18,200,382,564,746,928],"native_values":[218,289,49,120,49,289],"rotation_degrees":5.934065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[218,289,49,120,49,289],"beta":{"interval_sums":[29783,30212,30797,31395,30628,30043],"interval_residues":[39,130,39,299,208,299],"display_cycle":[39,130,39,299,208,299],"intervals":[{"from_index":18,"to_index":200,"sum":29783,"residue":39},{"from_index":200,"to_index":382,"sum":30212,"residue":130},{"from_index":382,"to_index":564,"sum":30797,"residue":39},{"from_index":564,"to_index":746,"sum":31395,"residue":299},{"from_index":746,"to_index":928,"sum":30628,"residue":208},{"from_index":928,"to_index":18,"sum":30043,"residue":299}],"minimal_cycle":[39,130,39,299,208,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[18,200],"circle_positions":338,"cycle_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":[19,201,383,565,747,929],"clock_positions":[19,201,383,565,747,929],"native_values":[125,44,125,213,294,213],"rotation_degrees":6.263736263736264,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,44,125,213,294,213],"beta":{"interval_sums":[29947,30217,30792,31231,30623,30048],"interval_residues":[203,135,34,135,203,304],"display_cycle":[203,135,34,135,203,304],"intervals":[{"from_index":19,"to_index":201,"sum":29947,"residue":203},{"from_index":201,"to_index":383,"sum":30217,"residue":135},{"from_index":383,"to_index":565,"sum":30792,"residue":34},{"from_index":565,"to_index":747,"sum":31231,"residue":135},{"from_index":747,"to_index":929,"sum":30623,"residue":203},{"from_index":929,"to_index":19,"sum":30048,"residue":304}],"minimal_cycle":[203,135,34,135,203,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[19,201],"circle_positions":338,"cycle_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":[20,202,384,566,748,930],"clock_positions":[20,202,384,566,748,930],"native_values":[5,333,174,333,5,164],"rotation_degrees":6.593406593406593,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,333,174,333,5,164],"beta":{"interval_sums":[29986,30009,30831,31192,30831,30009],"interval_residues":[242,265,73,96,73,265],"display_cycle":[242,265,73,96,73,265],"intervals":[{"from_index":20,"to_index":202,"sum":29986,"residue":242},{"from_index":202,"to_index":384,"sum":30009,"residue":265},{"from_index":384,"to_index":566,"sum":30831,"residue":73},{"from_index":566,"to_index":748,"sum":31192,"residue":96},{"from_index":748,"to_index":930,"sum":30831,"residue":73},{"from_index":930,"to_index":20,"sum":30009,"residue":265}],"minimal_cycle":[242,265,73,96,73,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[20,202],"circle_positions":338,"cycle_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":[21,203,385,567,749,931],"clock_positions":[21,203,385,567,749,931],"native_values":[130,39,299,208,299,39],"rotation_degrees":6.923076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,39,299,208,299,39],"beta":{"interval_sums":[30189,30144,30865,30989,30696,29975],"interval_residues":[107,62,107,231,276,231],"display_cycle":[107,62,107,231,276,231],"intervals":[{"from_index":21,"to_index":203,"sum":30189,"residue":107},{"from_index":203,"to_index":385,"sum":30144,"residue":62},{"from_index":385,"to_index":567,"sum":30865,"residue":107},{"from_index":567,"to_index":749,"sum":30989,"residue":231},{"from_index":749,"to_index":931,"sum":30696,"residue":276},{"from_index":931,"to_index":21,"sum":29975,"residue":231}],"minimal_cycle":[107,62,107,231,276,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":107,"start_interval_clock_positions":[21,203],"circle_positions":338,"cycle_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":[22,204,386,568,750,932],"clock_positions":[22,204,386,568,750,932],"native_values":[135,34,135,203,304,203],"rotation_degrees":7.252747252747253,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,34,135,203,304,203],"beta":{"interval_sums":[30093,30409,30938,31085,30431,29902],"interval_residues":[11,327,180,327,11,158],"display_cycle":[11,327,180,327,11,158],"intervals":[{"from_index":22,"to_index":204,"sum":30093,"residue":11},{"from_index":204,"to_index":386,"sum":30409,"residue":327},{"from_index":386,"to_index":568,"sum":30938,"residue":180},{"from_index":568,"to_index":750,"sum":31085,"residue":327},{"from_index":750,"to_index":932,"sum":30431,"residue":11},{"from_index":932,"to_index":22,"sum":29902,"residue":158}],"minimal_cycle":[11,327,180,327,11,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":11,"start_interval_clock_positions":[22,204],"circle_positions":338,"cycle_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":[23,205,387,569,751,933],"clock_positions":[23,205,387,569,751,933],"native_values":[265,73,96,73,265,242],"rotation_degrees":7.582417582417582,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,73,96,73,265,242],"beta":{"interval_sums":[29862,30471,31045,31316,30369,29795],"interval_residues":[118,51,287,220,287,51],"display_cycle":[118,51,287,220,287,51],"intervals":[{"from_index":23,"to_index":205,"sum":29862,"residue":118},{"from_index":205,"to_index":387,"sum":30471,"residue":51},{"from_index":387,"to_index":569,"sum":31045,"residue":287},{"from_index":569,"to_index":751,"sum":31316,"residue":220},{"from_index":751,"to_index":933,"sum":30369,"residue":287},{"from_index":933,"to_index":23,"sum":29795,"residue":51}],"minimal_cycle":[118,51,287,220,287,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[23,205],"circle_positions":338,"cycle_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":[24,206,388,570,752,934],"clock_positions":[24,206,388,570,752,934],"native_values":[62,107,231,276,231,107],"rotation_degrees":7.912087912087912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[62,107,231,276,231,107],"beta":{"interval_sums":[29873,30460,30887,31305,30380,29953],"interval_residues":[129,40,129,209,298,209],"display_cycle":[129,40,129,209,298,209],"intervals":[{"from_index":24,"to_index":206,"sum":29873,"residue":129},{"from_index":206,"to_index":388,"sum":30460,"residue":40},{"from_index":388,"to_index":570,"sum":30887,"residue":129},{"from_index":570,"to_index":752,"sum":31305,"residue":209},{"from_index":752,"to_index":934,"sum":30380,"residue":298},{"from_index":934,"to_index":24,"sum":29953,"residue":209}],"minimal_cycle":[129,40,129,209,298,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[24,206],"circle_positions":338,"cycle_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":[25,207,389,571,753,935],"clock_positions":[25,207,389,571,753,935],"native_values":[327,180,327,11,158,11],"rotation_degrees":8.241758241758241,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,180,327,11,158,11],"beta":{"interval_sums":[29653,30511,30836,31525,30329,30004],"interval_residues":[247,91,78,91,247,260],"display_cycle":[247,91,78,91,247,260],"intervals":[{"from_index":25,"to_index":207,"sum":29653,"residue":247},{"from_index":207,"to_index":389,"sum":30511,"residue":91},{"from_index":389,"to_index":571,"sum":30836,"residue":78},{"from_index":571,"to_index":753,"sum":31525,"residue":91},{"from_index":753,"to_index":935,"sum":30329,"residue":247},{"from_index":935,"to_index":25,"sum":30004,"residue":260}],"minimal_cycle":[247,91,78,91,247,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[25,207],"circle_positions":338,"cycle_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":[26,208,390,572,754,936],"clock_positions":[26,208,390,572,754,936],"native_values":[51,287,220,287,51,118],"rotation_degrees":8.571428571428571,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,287,220,287,51,118],"beta":{"interval_sums":[29782,30551,30627,31396,30289,30213],"interval_residues":[38,131,207,300,207,131],"display_cycle":[38,131,207,300,207,131],"intervals":[{"from_index":26,"to_index":208,"sum":29782,"residue":38},{"from_index":208,"to_index":390,"sum":30551,"residue":131},{"from_index":390,"to_index":572,"sum":30627,"residue":207},{"from_index":572,"to_index":754,"sum":31396,"residue":300},{"from_index":754,"to_index":936,"sum":30289,"residue":207},{"from_index":936,"to_index":26,"sum":30213,"residue":131}],"minimal_cycle":[38,131,207,300,207,131],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[26,208],"circle_positions":338,"cycle_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":[27,209,391,573,755,937],"clock_positions":[27,209,391,573,755,937],"native_values":[40,129,209,298,209,129],"rotation_degrees":8.901098901098901,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,129,209,298,209,129],"beta":{"interval_sums":[30029,30642,30705,31149,30198,30135],"interval_residues":[285,222,285,53,116,53],"display_cycle":[285,222,285,53,116,53],"intervals":[{"from_index":27,"to_index":209,"sum":30029,"residue":285},{"from_index":209,"to_index":391,"sum":30642,"residue":222},{"from_index":391,"to_index":573,"sum":30705,"residue":285},{"from_index":573,"to_index":755,"sum":31149,"residue":53},{"from_index":755,"to_index":937,"sum":30198,"residue":116},{"from_index":937,"to_index":27,"sum":30135,"residue":53}],"minimal_cycle":[285,222,285,53,116,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[27,209],"circle_positions":338,"cycle_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":[28,210,392,574,756,938],"clock_positions":[28,210,392,574,756,938],"native_values":[91,78,91,247,260,247],"rotation_degrees":9.23076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,78,91,247,260,247],"beta":{"interval_sums":[30067,30773,30912,31111,30067,29928],"interval_residues":[323,15,154,15,323,184],"display_cycle":[323,15,154,15,323,184],"intervals":[{"from_index":28,"to_index":210,"sum":30067,"residue":323},{"from_index":210,"to_index":392,"sum":30773,"residue":15},{"from_index":392,"to_index":574,"sum":30912,"residue":154},{"from_index":574,"to_index":756,"sum":31111,"residue":15},{"from_index":756,"to_index":938,"sum":30067,"residue":323},{"from_index":938,"to_index":28,"sum":29928,"residue":184}],"minimal_cycle":[323,15,154,15,323,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[28,210],"circle_positions":338,"cycle_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":[29,211,393,575,757,939],"clock_positions":[29,211,393,575,757,939],"native_values":[131,207,300,207,131,38],"rotation_degrees":9.56043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,207,300,207,131,38],"beta":{"interval_sums":[30014,30657,30859,31164,30183,29981],"interval_residues":[270,237,101,68,101,237],"display_cycle":[270,237,101,68,101,237],"intervals":[{"from_index":29,"to_index":211,"sum":30014,"residue":270},{"from_index":211,"to_index":393,"sum":30657,"residue":237},{"from_index":393,"to_index":575,"sum":30859,"residue":101},{"from_index":575,"to_index":757,"sum":31164,"residue":68},{"from_index":757,"to_index":939,"sum":30183,"residue":101},{"from_index":939,"to_index":29,"sum":29981,"residue":237}],"minimal_cycle":[270,237,101,68,101,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[29,211],"circle_positions":338,"cycle_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":[30,212,394,576,758,940],"clock_positions":[30,212,394,576,758,940],"native_values":[222,285,53,116,53,285],"rotation_degrees":9.89010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,285,53,116,53,285],"beta":{"interval_sums":[29999,30672,31013,31179,30168,29827],"interval_residues":[255,252,255,83,86,83],"display_cycle":[255,252,255,83,86,83],"intervals":[{"from_index":30,"to_index":212,"sum":29999,"residue":255},{"from_index":212,"to_index":394,"sum":30672,"residue":252},{"from_index":394,"to_index":576,"sum":31013,"residue":255},{"from_index":576,"to_index":758,"sum":31179,"residue":83},{"from_index":758,"to_index":940,"sum":30168,"residue":86},{"from_index":940,"to_index":30,"sum":29827,"residue":83}],"minimal_cycle":[255,252,255,83,86,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[30,212],"circle_positions":338,"cycle_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":[31,213,395,577,759,941],"clock_positions":[31,213,395,577,759,941],"native_values":[15,154,15,323,184,323],"rotation_degrees":10.219780219780219,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,154,15,323,184,323],"beta":{"interval_sums":[30269,30571,31114,30909,30269,29726],"interval_residues":[187,151,18,151,187,320],"display_cycle":[187,151,18,151,187,320],"intervals":[{"from_index":31,"to_index":213,"sum":30269,"residue":187},{"from_index":213,"to_index":395,"sum":30571,"residue":151},{"from_index":395,"to_index":577,"sum":31114,"residue":18},{"from_index":577,"to_index":759,"sum":30909,"residue":151},{"from_index":759,"to_index":941,"sum":30269,"residue":187},{"from_index":941,"to_index":31,"sum":29726,"residue":320}],"minimal_cycle":[187,151,18,151,187,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[31,213],"circle_positions":338,"cycle_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":[32,214,396,578,760,942],"clock_positions":[32,214,396,578,760,942],"native_values":[237,101,68,101,237,270],"rotation_degrees":10.54945054945055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,101,68,101,237,270],"beta":{"interval_sums":[30186,30485,31369,30992,30355,29471],"interval_residues":[104,65,273,234,273,65],"display_cycle":[104,65,273,234,273,65],"intervals":[{"from_index":32,"to_index":214,"sum":30186,"residue":104},{"from_index":214,"to_index":396,"sum":30485,"residue":65},{"from_index":396,"to_index":578,"sum":31369,"residue":273},{"from_index":578,"to_index":760,"sum":30992,"residue":234},{"from_index":760,"to_index":942,"sum":30355,"residue":273},{"from_index":942,"to_index":32,"sum":29471,"residue":65}],"minimal_cycle":[104,65,273,234,273,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[32,214],"circle_positions":338,"cycle_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":[33,215,397,579,761,943],"clock_positions":[33,215,397,579,761,943],"native_values":[252,255,83,86,83,255],"rotation_degrees":10.87912087912088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,255,83,86,83,255],"beta":{"interval_sums":[30035,30298,31387,31143,30542,29453],"interval_residues":[291,216,291,47,122,47],"display_cycle":[291,216,291,47,122,47],"intervals":[{"from_index":33,"to_index":215,"sum":30035,"residue":291},{"from_index":215,"to_index":397,"sum":30298,"residue":216},{"from_index":397,"to_index":579,"sum":31387,"residue":291},{"from_index":579,"to_index":761,"sum":31143,"residue":47},{"from_index":761,"to_index":943,"sum":30542,"residue":122},{"from_index":943,"to_index":33,"sum":29453,"residue":47}],"minimal_cycle":[291,216,291,47,122,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":291,"start_interval_clock_positions":[33,215],"circle_positions":338,"cycle_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":[34,216,398,580,762,944],"clock_positions":[34,216,398,580,762,944],"native_values":[151,18,151,187,320,187],"rotation_degrees":11.208791208791208,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,18,151,187,320,187],"beta":{"interval_sums":[30139,30363,31322,31039,30477,29518],"interval_residues":[57,281,226,281,57,112],"display_cycle":[57,281,226,281,57,112],"intervals":[{"from_index":34,"to_index":216,"sum":30139,"residue":57},{"from_index":216,"to_index":398,"sum":30363,"residue":281},{"from_index":398,"to_index":580,"sum":31322,"residue":226},{"from_index":580,"to_index":762,"sum":31039,"residue":281},{"from_index":762,"to_index":944,"sum":30477,"residue":57},{"from_index":944,"to_index":34,"sum":29518,"residue":112}],"minimal_cycle":[57,281,226,281,57,112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":57,"start_interval_clock_positions":[34,216],"circle_positions":338,"cycle_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":[35,217,399,581,763,945],"clock_positions":[35,217,399,581,763,945],"native_values":[65,273,234,273,65,104],"rotation_degrees":11.538461538461538,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,273,234,273,65,104],"beta":{"interval_sums":[30092,30241,31275,31086,30599,29565],"interval_residues":[10,159,179,328,179,159],"display_cycle":[10,159,179,328,179,159],"intervals":[{"from_index":35,"to_index":217,"sum":30092,"residue":10},{"from_index":217,"to_index":399,"sum":30241,"residue":159},{"from_index":399,"to_index":581,"sum":31275,"residue":179},{"from_index":581,"to_index":763,"sum":31086,"residue":328},{"from_index":763,"to_index":945,"sum":30599,"residue":179},{"from_index":945,"to_index":35,"sum":29565,"residue":159}],"minimal_cycle":[10,159,179,328,179,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[35,217],"circle_positions":338,"cycle_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":[36,218,400,582,764,946],"clock_positions":[36,218,400,582,764,946],"native_values":[216,291,47,122,47,291],"rotation_degrees":11.868131868131869,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,291,47,122,47,291],"beta":{"interval_sums":[30149,30184,31501,31029,30656,29339],"interval_residues":[67,102,67,271,236,271],"display_cycle":[67,102,67,271,236,271],"intervals":[{"from_index":36,"to_index":218,"sum":30149,"residue":67},{"from_index":218,"to_index":400,"sum":30184,"residue":102},{"from_index":400,"to_index":582,"sum":31501,"residue":67},{"from_index":582,"to_index":764,"sum":31029,"residue":271},{"from_index":764,"to_index":946,"sum":30656,"residue":236},{"from_index":946,"to_index":36,"sum":29339,"residue":271}],"minimal_cycle":[67,102,67,271,236,271],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":67,"start_interval_clock_positions":[36,218],"circle_positions":338,"cycle_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":[37,219,401,583,765,947],"clock_positions":[37,219,401,583,765,947],"native_values":[281,226,281,57,112,57],"rotation_degrees":12.197802197802197,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,226,281,57,112,57],"beta":{"interval_sums":[30159,30005,31342,31019,30835,29498],"interval_residues":[77,261,246,261,77,92],"display_cycle":[77,261,246,261,77,92],"intervals":[{"from_index":37,"to_index":219,"sum":30159,"residue":77},{"from_index":219,"to_index":401,"sum":30005,"residue":261},{"from_index":401,"to_index":583,"sum":31342,"residue":246},{"from_index":583,"to_index":765,"sum":31019,"residue":261},{"from_index":765,"to_index":947,"sum":30835,"residue":77},{"from_index":947,"to_index":37,"sum":29498,"residue":92}],"minimal_cycle":[77,261,246,261,77,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[37,219],"circle_positions":338,"cycle_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":[38,220,402,584,766,948],"clock_positions":[38,220,402,584,766,948],"native_values":[159,179,328,179,159,10],"rotation_degrees":12.527472527472527,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,179,328,179,159,10],"beta":{"interval_sums":[30226,30107,31071,30952,30733,29769],"interval_residues":[144,25,313,194,313,25],"display_cycle":[144,25,313,194,313,25],"intervals":[{"from_index":38,"to_index":220,"sum":30226,"residue":144},{"from_index":220,"to_index":402,"sum":30107,"residue":25},{"from_index":402,"to_index":584,"sum":31071,"residue":313},{"from_index":584,"to_index":766,"sum":30952,"residue":194},{"from_index":766,"to_index":948,"sum":30733,"residue":313},{"from_index":948,"to_index":38,"sum":29769,"residue":25}],"minimal_cycle":[144,25,313,194,313,25],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[38,220],"circle_positions":338,"cycle_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":[39,221,403,585,767,949],"clock_positions":[39,221,403,585,767,949],"native_values":[102,67,271,236,271,67],"rotation_degrees":12.857142857142858,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[102,67,271,236,271,67],"beta":{"interval_sums":[30303,30368,30979,30875,30472,29861],"interval_residues":[221,286,221,117,52,117],"display_cycle":[221,286,221,117,52,117],"intervals":[{"from_index":39,"to_index":221,"sum":30303,"residue":221},{"from_index":221,"to_index":403,"sum":30368,"residue":286},{"from_index":403,"to_index":585,"sum":30979,"residue":221},{"from_index":585,"to_index":767,"sum":30875,"residue":117},{"from_index":767,"to_index":949,"sum":30472,"residue":52},{"from_index":949,"to_index":39,"sum":29861,"residue":117}],"minimal_cycle":[221,286,221,117,52,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[39,221],"circle_positions":338,"cycle_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":[40,222,404,586,768,950],"clock_positions":[40,222,404,586,768,950],"native_values":[261,246,261,77,92,77],"rotation_degrees":13.186813186813186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,246,261,77,92,77],"beta":{"interval_sums":[30109,30393,30954,31069,30447,29886],"interval_residues":[27,311,196,311,27,142],"display_cycle":[27,311,196,311,27,142],"intervals":[{"from_index":40,"to_index":222,"sum":30109,"residue":27},{"from_index":222,"to_index":404,"sum":30393,"residue":311},{"from_index":404,"to_index":586,"sum":30954,"residue":196},{"from_index":586,"to_index":768,"sum":31069,"residue":311},{"from_index":768,"to_index":950,"sum":30447,"residue":27},{"from_index":950,"to_index":40,"sum":29886,"residue":142}],"minimal_cycle":[27,311,196,311,27,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[40,222],"circle_positions":338,"cycle_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":[41,223,405,587,769,951],"clock_positions":[41,223,405,587,769,951],"native_values":[25,313,194,313,25,144],"rotation_degrees":13.516483516483516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,313,194,313,25,144],"beta":{"interval_sums":[30330,30341,30837,30848,30499,30003],"interval_residues":[248,259,79,90,79,259],"display_cycle":[248,259,79,90,79,259],"intervals":[{"from_index":41,"to_index":223,"sum":30330,"residue":248},{"from_index":223,"to_index":405,"sum":30341,"residue":259},{"from_index":405,"to_index":587,"sum":30837,"residue":79},{"from_index":587,"to_index":769,"sum":30848,"residue":90},{"from_index":769,"to_index":951,"sum":30499,"residue":79},{"from_index":951,"to_index":41,"sum":30003,"residue":259}],"minimal_cycle":[248,259,79,90,79,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[41,223],"circle_positions":338,"cycle_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":[42,224,406,588,770,952],"clock_positions":[42,224,406,588,770,952],"native_values":[286,221,117,52,117,221],"rotation_degrees":13.846153846153847,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,221,117,52,117,221],"beta":{"interval_sums":[30357,30314,31033,30821,30526,29807],"interval_residues":[275,232,275,63,106,63],"display_cycle":[275,232,275,63,106,63],"intervals":[{"from_index":42,"to_index":224,"sum":30357,"residue":275},{"from_index":224,"to_index":406,"sum":30314,"residue":232},{"from_index":406,"to_index":588,"sum":31033,"residue":275},{"from_index":588,"to_index":770,"sum":30821,"residue":63},{"from_index":770,"to_index":952,"sum":30526,"residue":106},{"from_index":952,"to_index":42,"sum":29807,"residue":63}],"minimal_cycle":[275,232,275,63,106,63],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[42,224],"circle_positions":338,"cycle_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":[43,225,407,589,771,953],"clock_positions":[43,225,407,589,771,953],"native_values":[311,196,311,27,142,27],"rotation_degrees":14.175824175824175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,196,311,27,142,27],"beta":{"interval_sums":[30267,30235,30774,30911,30605,30066],"interval_residues":[185,153,16,153,185,322],"display_cycle":[185,153,16,153,185,322],"intervals":[{"from_index":43,"to_index":225,"sum":30267,"residue":185},{"from_index":225,"to_index":407,"sum":30235,"residue":153},{"from_index":407,"to_index":589,"sum":30774,"residue":16},{"from_index":589,"to_index":771,"sum":30911,"residue":153},{"from_index":771,"to_index":953,"sum":30605,"residue":185},{"from_index":953,"to_index":43,"sum":30066,"residue":322}],"minimal_cycle":[185,153,16,153,185,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[43,225],"circle_positions":338,"cycle_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":[44,226,408,590,772,954],"clock_positions":[44,226,408,590,772,954],"native_values":[259,79,90,79,259,248],"rotation_degrees":14.505494505494505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,79,90,79,259,248],"beta":{"interval_sums":[30204,30467,30711,30974,30373,30129],"interval_residues":[122,47,291,216,291,47],"display_cycle":[122,47,291,216,291,47],"intervals":[{"from_index":44,"to_index":226,"sum":30204,"residue":122},{"from_index":226,"to_index":408,"sum":30467,"residue":47},{"from_index":408,"to_index":590,"sum":30711,"residue":291},{"from_index":590,"to_index":772,"sum":30974,"residue":216},{"from_index":772,"to_index":954,"sum":30373,"residue":291},{"from_index":954,"to_index":44,"sum":30129,"residue":47}],"minimal_cycle":[122,47,291,216,291,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[44,226],"circle_positions":338,"cycle_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":[45,227,409,591,773,955],"clock_positions":[45,227,409,591,773,955],"native_values":[232,275,63,106,63,275],"rotation_degrees":14.835164835164836,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,275,63,106,63,275],"beta":{"interval_sums":[30051,30282,30727,31127,30558,30113],"interval_residues":[307,200,307,31,138,31],"display_cycle":[307,200,307,31,138,31],"intervals":[{"from_index":45,"to_index":227,"sum":30051,"residue":307},{"from_index":227,"to_index":409,"sum":30282,"residue":200},{"from_index":409,"to_index":591,"sum":30727,"residue":307},{"from_index":591,"to_index":773,"sum":31127,"residue":31},{"from_index":773,"to_index":955,"sum":30558,"residue":138},{"from_index":955,"to_index":45,"sum":30113,"residue":31}],"minimal_cycle":[307,200,307,31,138,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":307,"start_interval_clock_positions":[45,227],"circle_positions":338,"cycle_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":[46,228,410,592,774,956],"clock_positions":[46,228,410,592,774,956],"native_values":[153,16,153,185,322,185],"rotation_degrees":15.164835164835164,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,16,153,185,322,185],"beta":{"interval_sums":[30173,30329,30680,31005,30511,30160],"interval_residues":[91,247,260,247,91,78],"display_cycle":[91,247,260,247,91,78],"intervals":[{"from_index":46,"to_index":228,"sum":30173,"residue":91},{"from_index":228,"to_index":410,"sum":30329,"residue":247},{"from_index":410,"to_index":592,"sum":30680,"residue":260},{"from_index":592,"to_index":774,"sum":31005,"residue":247},{"from_index":774,"to_index":956,"sum":30511,"residue":91},{"from_index":956,"to_index":46,"sum":30160,"residue":78}],"minimal_cycle":[91,247,260,247,91,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[46,228],"circle_positions":338,"cycle_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":[47,229,411,593,775,957],"clock_positions":[47,229,411,593,775,957],"native_values":[47,291,216,291,47,122],"rotation_degrees":15.494505494505495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,291,216,291,47,122],"beta":{"interval_sums":[30142,30191,30649,31036,30649,30191],"interval_residues":[60,109,229,278,229,109],"display_cycle":[60,109,229,278,229,109],"intervals":[{"from_index":47,"to_index":229,"sum":30142,"residue":60},{"from_index":229,"to_index":411,"sum":30191,"residue":109},{"from_index":411,"to_index":593,"sum":30649,"residue":229},{"from_index":593,"to_index":775,"sum":31036,"residue":278},{"from_index":775,"to_index":957,"sum":30649,"residue":229},{"from_index":957,"to_index":47,"sum":30191,"residue":109}],"minimal_cycle":[60,109,229,278,229,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[47,229],"circle_positions":338,"cycle_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":[48,230,412,594,776,958],"clock_positions":[48,230,412,594,776,958],"native_values":[200,307,31,138,31,307],"rotation_degrees":15.824175824175825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,307,31,138,31,307],"beta":{"interval_sums":[30233,30100,30909,30945,30740,29931],"interval_residues":[151,18,151,187,320,187],"display_cycle":[151,18,151,187,320,187],"intervals":[{"from_index":48,"to_index":230,"sum":30233,"residue":151},{"from_index":230,"to_index":412,"sum":30100,"residue":18},{"from_index":412,"to_index":594,"sum":30909,"residue":151},{"from_index":594,"to_index":776,"sum":30945,"residue":187},{"from_index":776,"to_index":958,"sum":30740,"residue":320},{"from_index":958,"to_index":48,"sum":29931,"residue":187}],"minimal_cycle":[151,18,151,187,320,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[48,230],"circle_positions":338,"cycle_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":[49,231,413,595,777,959],"clock_positions":[49,231,413,595,777,959],"native_values":[247,260,247,91,78,91],"rotation_degrees":16.153846153846153,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,260,247,91,78,91],"beta":{"interval_sums":[30293,29871,30800,30885,30969,30040],"interval_residues":[211,127,42,127,211,296],"display_cycle":[211,127,42,127,211,296],"intervals":[{"from_index":49,"to_index":231,"sum":30293,"residue":211},{"from_index":231,"to_index":413,"sum":29871,"residue":127},{"from_index":413,"to_index":595,"sum":30800,"residue":42},{"from_index":595,"to_index":777,"sum":30885,"residue":127},{"from_index":777,"to_index":959,"sum":30969,"residue":211},{"from_index":959,"to_index":49,"sum":30040,"residue":296}],"minimal_cycle":[211,127,42,127,211,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[49,231],"circle_positions":338,"cycle_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":[50,232,414,596,778,960],"clock_positions":[50,232,414,596,778,960],"native_values":[109,229,278,229,109,60],"rotation_degrees":16.483516483516482,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,229,278,229,109,60],"beta":{"interval_sums":[30444,29889,30613,30734,30951,30227],"interval_residues":[24,145,193,314,193,145],"display_cycle":[24,145,193,314,193,145],"intervals":[{"from_index":50,"to_index":232,"sum":30444,"residue":24},{"from_index":232,"to_index":414,"sum":29889,"residue":145},{"from_index":414,"to_index":596,"sum":30613,"residue":193},{"from_index":596,"to_index":778,"sum":30734,"residue":314},{"from_index":778,"to_index":960,"sum":30951,"residue":193},{"from_index":960,"to_index":50,"sum":30227,"residue":145}],"minimal_cycle":[24,145,193,314,193,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[50,232],"circle_positions":338,"cycle_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":[51,233,415,597,779,961],"clock_positions":[51,233,415,597,779,961],"native_values":[18,151,187,320,187,151],"rotation_degrees":16.813186813186814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,151,187,320,187,151],"beta":{"interval_sums":[30655,30016,30655,30523,30824,30185],"interval_residues":[235,272,235,103,66,103],"display_cycle":[235,272,235,103,66,103],"intervals":[{"from_index":51,"to_index":233,"sum":30655,"residue":235},{"from_index":233,"to_index":415,"sum":30016,"residue":272},{"from_index":415,"to_index":597,"sum":30655,"residue":235},{"from_index":597,"to_index":779,"sum":30523,"residue":103},{"from_index":779,"to_index":961,"sum":30824,"residue":66},{"from_index":961,"to_index":51,"sum":30185,"residue":103}],"minimal_cycle":[235,272,235,103,66,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":235,"start_interval_clock_positions":[51,233],"circle_positions":338,"cycle_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":[52,234,416,598,780,962],"clock_positions":[52,234,416,598,780,962],"native_values":[127,42,127,211,296,211],"rotation_degrees":17.142857142857142,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,42,127,211,296,211],"beta":{"interval_sums":[30679,30161,30848,30499,30679,29992],"interval_residues":[259,79,90,79,259,248],"display_cycle":[259,79,90,79,259,248],"intervals":[{"from_index":52,"to_index":234,"sum":30679,"residue":259},{"from_index":234,"to_index":416,"sum":30161,"residue":79},{"from_index":416,"to_index":598,"sum":30848,"residue":90},{"from_index":598,"to_index":780,"sum":30499,"residue":79},{"from_index":780,"to_index":962,"sum":30679,"residue":259},{"from_index":962,"to_index":52,"sum":29992,"residue":248}],"minimal_cycle":[259,79,90,79,259,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[52,234],"circle_positions":338,"cycle_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":[53,235,417,599,781,963],"clock_positions":[53,235,417,599,781,963],"native_values":[145,193,314,193,145,24],"rotation_degrees":17.47252747252747,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,193,314,193,145,24],"beta":{"interval_sums":[30576,30095,30745,30602,30745,30095],"interval_residues":[156,13,325,182,325,13],"display_cycle":[156,13,325,182,325,13],"intervals":[{"from_index":53,"to_index":235,"sum":30576,"residue":156},{"from_index":235,"to_index":417,"sum":30095,"residue":13},{"from_index":417,"to_index":599,"sum":30745,"residue":325},{"from_index":599,"to_index":781,"sum":30602,"residue":182},{"from_index":781,"to_index":963,"sum":30745,"residue":325},{"from_index":963,"to_index":53,"sum":30095,"residue":13}],"minimal_cycle":[156,13,325,182,325,13],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[53,235],"circle_positions":338,"cycle_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":[54,236,418,600,782,964],"clock_positions":[54,236,418,600,782,964],"native_values":[272,235,103,66,103,235],"rotation_degrees":17.802197802197803,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,235,103,66,103,235],"beta":{"interval_sums":[30497,30174,30835,30681,30666,30005],"interval_residues":[77,92,77,261,246,261],"display_cycle":[77,92,77,261,246,261],"intervals":[{"from_index":54,"to_index":236,"sum":30497,"residue":77},{"from_index":236,"to_index":418,"sum":30174,"residue":92},{"from_index":418,"to_index":600,"sum":30835,"residue":77},{"from_index":600,"to_index":782,"sum":30681,"residue":261},{"from_index":782,"to_index":964,"sum":30666,"residue":246},{"from_index":964,"to_index":54,"sum":30005,"residue":261}],"minimal_cycle":[77,92,77,261,246,261],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[54,236],"circle_positions":338,"cycle_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":[55,237,419,601,783,965],"clock_positions":[55,237,419,601,783,965],"native_values":[79,90,79,259,248,259],"rotation_degrees":18.13186813186813,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,90,79,259,248,259],"beta":{"interval_sums":[30653,30187,30822,30525,30653,30018],"interval_residues":[233,105,64,105,233,274],"display_cycle":[233,105,64,105,233,274],"intervals":[{"from_index":55,"to_index":237,"sum":30653,"residue":233},{"from_index":237,"to_index":419,"sum":30187,"residue":105},{"from_index":419,"to_index":601,"sum":30822,"residue":64},{"from_index":601,"to_index":783,"sum":30525,"residue":105},{"from_index":783,"to_index":965,"sum":30653,"residue":233},{"from_index":965,"to_index":55,"sum":30018,"residue":274}],"minimal_cycle":[233,105,64,105,233,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[55,237],"circle_positions":338,"cycle_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":[56,238,420,602,784,966],"clock_positions":[56,238,420,602,784,966],"native_values":[13,325,182,325,13,156],"rotation_degrees":18.46153846153846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,325,182,325,13,156],"beta":{"interval_sums":[30730,29941,30899,30448,30899,29941],"interval_residues":[310,197,141,28,141,197],"display_cycle":[310,197,141,28,141,197],"intervals":[{"from_index":56,"to_index":238,"sum":30730,"residue":310},{"from_index":238,"to_index":420,"sum":29941,"residue":197},{"from_index":420,"to_index":602,"sum":30899,"residue":141},{"from_index":602,"to_index":784,"sum":30448,"residue":28},{"from_index":784,"to_index":966,"sum":30899,"residue":141},{"from_index":966,"to_index":56,"sum":29941,"residue":197}],"minimal_cycle":[310,197,141,28,141,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[56,238],"circle_positions":338,"cycle_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":[57,239,421,603,785,967],"clock_positions":[57,239,421,603,785,967],"native_values":[92,77,261,246,261,77],"rotation_degrees":18.791208791208792,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[92,77,261,246,261,77],"beta":{"interval_sums":[30963,30046,30963,30215,30794,29877],"interval_residues":[205,302,205,133,36,133],"display_cycle":[205,302,205,133,36,133],"intervals":[{"from_index":57,"to_index":239,"sum":30963,"residue":205},{"from_index":239,"to_index":421,"sum":30046,"residue":302},{"from_index":421,"to_index":603,"sum":30963,"residue":205},{"from_index":603,"to_index":785,"sum":30215,"residue":133},{"from_index":785,"to_index":967,"sum":30794,"residue":36},{"from_index":967,"to_index":57,"sum":29877,"residue":133}],"minimal_cycle":[205,302,205,133,36,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[57,239],"circle_positions":338,"cycle_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":[58,240,422,604,786,968],"clock_positions":[58,240,422,604,786,968],"native_values":[105,64,105,233,274,233],"rotation_degrees":19.12087912087912,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,64,105,233,274,233],"beta":{"interval_sums":[30935,30243,31104,30243,30597,29736],"interval_residues":[177,161,8,161,177,330],"display_cycle":[177,161,8,161,177,330],"intervals":[{"from_index":58,"to_index":240,"sum":30935,"residue":177},{"from_index":240,"to_index":422,"sum":30243,"residue":161},{"from_index":422,"to_index":604,"sum":31104,"residue":8},{"from_index":604,"to_index":786,"sum":30243,"residue":161},{"from_index":786,"to_index":968,"sum":30597,"residue":177},{"from_index":968,"to_index":58,"sum":29736,"residue":330}],"minimal_cycle":[177,161,8,161,177,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[58,240],"circle_positions":338,"cycle_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":[59,241,423,605,787,969],"clock_positions":[59,241,423,605,787,969],"native_values":[197,141,28,141,197,310],"rotation_degrees":19.45054945054945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,141,28,141,197,310],"beta":{"interval_sums":[30802,30207,31309,30376,30633,29531],"interval_residues":[44,125,213,294,213,125],"display_cycle":[44,125,213,294,213,125],"intervals":[{"from_index":59,"to_index":241,"sum":30802,"residue":44},{"from_index":241,"to_index":423,"sum":30207,"residue":125},{"from_index":423,"to_index":605,"sum":31309,"residue":213},{"from_index":605,"to_index":787,"sum":30376,"residue":294},{"from_index":787,"to_index":969,"sum":30633,"residue":213},{"from_index":969,"to_index":59,"sum":29531,"residue":125}],"minimal_cycle":[44,125,213,294,213,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[59,241],"circle_positions":338,"cycle_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":[60,242,424,606,788,970],"clock_positions":[60,242,424,606,788,970],"native_values":[302,205,133,36,133,205],"rotation_degrees":19.78021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,205,133,36,133,205],"beta":{"interval_sums":[30641,30030,31317,30537,30810,29523],"interval_residues":[221,286,221,117,52,117],"display_cycle":[221,286,221,117,52,117],"intervals":[{"from_index":60,"to_index":242,"sum":30641,"residue":221},{"from_index":242,"to_index":424,"sum":30030,"residue":286},{"from_index":424,"to_index":606,"sum":31317,"residue":221},{"from_index":606,"to_index":788,"sum":30537,"residue":117},{"from_index":788,"to_index":970,"sum":30810,"residue":52},{"from_index":970,"to_index":60,"sum":29523,"residue":117}],"minimal_cycle":[221,286,221,117,52,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[60,242],"circle_positions":338,"cycle_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":[61,243,425,607,789,971],"clock_positions":[61,243,425,607,789,971],"native_values":[161,8,161,177,330,177],"rotation_degrees":20.10989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,8,161,177,330,177],"beta":{"interval_sums":[30685,30155,31192,30493,30685,29648],"interval_residues":[265,73,96,73,265,242],"display_cycle":[265,73,96,73,265,242],"intervals":[{"from_index":61,"to_index":243,"sum":30685,"residue":265},{"from_index":243,"to_index":425,"sum":30155,"residue":73},{"from_index":425,"to_index":607,"sum":31192,"residue":96},{"from_index":607,"to_index":789,"sum":30493,"residue":73},{"from_index":789,"to_index":971,"sum":30685,"residue":265},{"from_index":971,"to_index":61,"sum":29648,"residue":242}],"minimal_cycle":[265,73,96,73,265,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[61,243],"circle_positions":338,"cycle_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":[62,244,426,608,790,972],"clock_positions":[62,244,426,608,790,972],"native_values":[125,213,294,213,125,44],"rotation_degrees":20.439560439560438,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,213,294,213,125,44],"beta":{"interval_sums":[30568,30103,31075,30610,30737,29765],"interval_residues":[148,21,317,190,317,21],"display_cycle":[148,21,317,190,317,21],"intervals":[{"from_index":62,"to_index":244,"sum":30568,"residue":148},{"from_index":244,"to_index":426,"sum":30103,"residue":21},{"from_index":426,"to_index":608,"sum":31075,"residue":317},{"from_index":608,"to_index":790,"sum":30610,"residue":190},{"from_index":790,"to_index":972,"sum":30737,"residue":317},{"from_index":972,"to_index":62,"sum":29765,"residue":21}],"minimal_cycle":[148,21,317,190,317,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[62,244],"circle_positions":338,"cycle_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":[63,245,427,609,791,973],"clock_positions":[63,245,427,609,791,973],"native_values":[286,221,117,52,117,221],"rotation_degrees":20.76923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[286,221,117,52,117,221],"beta":{"interval_sums":[30495,30176,31171,30683,30664,29669],"interval_residues":[75,94,75,263,244,263],"display_cycle":[75,94,75,263,244,263],"intervals":[{"from_index":63,"to_index":245,"sum":30495,"residue":75},{"from_index":245,"to_index":427,"sum":30176,"residue":94},{"from_index":427,"to_index":609,"sum":31171,"residue":75},{"from_index":609,"to_index":791,"sum":30683,"residue":263},{"from_index":791,"to_index":973,"sum":30664,"residue":244},{"from_index":973,"to_index":63,"sum":29669,"residue":263}],"minimal_cycle":[75,94,75,263,244,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":75,"start_interval_clock_positions":[63,245],"circle_positions":338,"cycle_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":[64,246,428,610,792,974],"clock_positions":[64,246,428,610,792,974],"native_values":[73,96,73,265,242,265],"rotation_degrees":21.0989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,96,73,265,242,265],"beta":{"interval_sums":[30643,30197,31150,30535,30643,29690],"interval_residues":[223,115,54,115,223,284],"display_cycle":[223,115,54,115,223,284],"intervals":[{"from_index":64,"to_index":246,"sum":30643,"residue":223},{"from_index":246,"to_index":428,"sum":30197,"residue":115},{"from_index":428,"to_index":610,"sum":31150,"residue":54},{"from_index":610,"to_index":792,"sum":30535,"residue":115},{"from_index":792,"to_index":974,"sum":30643,"residue":223},{"from_index":974,"to_index":64,"sum":29690,"residue":284}],"minimal_cycle":[223,115,54,115,223,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":223,"start_interval_clock_positions":[64,246],"circle_positions":338,"cycle_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":[65,247,429,611,793,975],"clock_positions":[65,247,429,611,793,975],"native_values":[21,317,190,317,21,148],"rotation_degrees":21.428571428571427,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,317,190,317,21,148],"beta":{"interval_sums":[30718,29953,31225,30460,30887,29615],"interval_residues":[298,209,129,40,129,209],"display_cycle":[298,209,129,40,129,209],"intervals":[{"from_index":65,"to_index":247,"sum":30718,"residue":298},{"from_index":247,"to_index":429,"sum":29953,"residue":209},{"from_index":429,"to_index":611,"sum":31225,"residue":129},{"from_index":611,"to_index":793,"sum":30460,"residue":40},{"from_index":793,"to_index":975,"sum":30887,"residue":129},{"from_index":975,"to_index":65,"sum":29615,"residue":209}],"minimal_cycle":[298,209,129,40,129,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[65,247],"circle_positions":338,"cycle_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":[66,248,430,612,794,976],"clock_positions":[66,248,430,612,794,976],"native_values":[94,75,263,244,263,75],"rotation_degrees":21.75824175824176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[94,75,263,244,263,75],"beta":{"interval_sums":[30941,30068,31279,30237,30772,29561],"interval_residues":[183,324,183,155,14,155],"display_cycle":[183,324,183,155,14,155],"intervals":[{"from_index":66,"to_index":248,"sum":30941,"residue":183},{"from_index":248,"to_index":430,"sum":30068,"residue":324},{"from_index":430,"to_index":612,"sum":31279,"residue":183},{"from_index":612,"to_index":794,"sum":30237,"residue":155},{"from_index":794,"to_index":976,"sum":30772,"residue":14},{"from_index":976,"to_index":66,"sum":29561,"residue":155}],"minimal_cycle":[183,324,183,155,14,155],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[66,248],"circle_positions":338,"cycle_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":[67,249,431,613,795,977],"clock_positions":[67,249,431,613,795,977],"native_values":[115,54,115,223,284,223],"rotation_degrees":22.087912087912088,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,54,115,223,284,223],"beta":{"interval_sums":[30901,30277,31408,30277,30563,29432],"interval_residues":[143,195,312,195,143,26],"display_cycle":[143,195,312,195,143,26],"intervals":[{"from_index":67,"to_index":249,"sum":30901,"residue":143},{"from_index":249,"to_index":431,"sum":30277,"residue":195},{"from_index":431,"to_index":613,"sum":31408,"residue":312},{"from_index":613,"to_index":795,"sum":30277,"residue":195},{"from_index":795,"to_index":977,"sum":30563,"residue":143},{"from_index":977,"to_index":67,"sum":29432,"residue":26}],"minimal_cycle":[143,195,312,195,143,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[67,249],"circle_positions":338,"cycle_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":[68,250,432,614,796,978],"clock_positions":[68,250,432,614,796,978],"native_values":[209,129,40,129,209,298],"rotation_degrees":22.417582417582416,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,129,40,129,209,298],"beta":{"interval_sums":[30746,30263,31591,30432,30577,29249],"interval_residues":[326,181,157,12,157,181],"display_cycle":[326,181,157,12,157,181],"intervals":[{"from_index":68,"to_index":250,"sum":30746,"residue":326},{"from_index":250,"to_index":432,"sum":30263,"residue":181},{"from_index":432,"to_index":614,"sum":31591,"residue":157},{"from_index":614,"to_index":796,"sum":30432,"residue":12},{"from_index":796,"to_index":978,"sum":30577,"residue":157},{"from_index":978,"to_index":68,"sum":29249,"residue":181}],"minimal_cycle":[326,181,157,12,157,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[68,250],"circle_positions":338,"cycle_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":[69,251,433,615,797,979],"clock_positions":[69,251,433,615,797,979],"native_values":[324,183,155,14,155,183],"rotation_degrees":22.747252747252748,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[324,183,155,14,155,183],"beta":{"interval_sums":[30551,30120,31565,30627,30720,29275],"interval_residues":[131,38,131,207,300,207],"display_cycle":[131,38,131,207,300,207],"intervals":[{"from_index":69,"to_index":251,"sum":30551,"residue":131},{"from_index":251,"to_index":433,"sum":30120,"residue":38},{"from_index":433,"to_index":615,"sum":31565,"residue":131},{"from_index":615,"to_index":797,"sum":30627,"residue":207},{"from_index":797,"to_index":979,"sum":30720,"residue":300},{"from_index":979,"to_index":69,"sum":29275,"residue":207}],"minimal_cycle":[131,38,131,207,300,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[69,251],"circle_positions":338,"cycle_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":[70,252,434,616,798,980],"clock_positions":[70,252,434,616,798,980],"native_values":[195,312,195,143,26,143],"rotation_degrees":23.076923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,312,195,143,26,143],"beta":{"interval_sums":[30539,29963,31384,30639,30877,29456],"interval_residues":[119,219,288,219,119,50],"display_cycle":[119,219,288,219,119,50],"intervals":[{"from_index":70,"to_index":252,"sum":30539,"residue":119},{"from_index":252,"to_index":434,"sum":29963,"residue":219},{"from_index":434,"to_index":616,"sum":31384,"residue":288},{"from_index":616,"to_index":798,"sum":30639,"residue":219},{"from_index":798,"to_index":980,"sum":30877,"residue":119},{"from_index":980,"to_index":70,"sum":29456,"residue":50}],"minimal_cycle":[119,219,288,219,119,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[70,252],"circle_positions":338,"cycle_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":[71,253,435,617,799,981],"clock_positions":[71,253,435,617,799,981],"native_values":[181,157,12,157,181,326],"rotation_degrees":23.406593406593405,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,157,12,157,181,326],"beta":{"interval_sums":[30670,30001,31515,30508,30839,29325],"interval_residues":[250,257,81,88,81,257],"display_cycle":[250,257,81,88,81,257],"intervals":[{"from_index":71,"to_index":253,"sum":30670,"residue":250},{"from_index":253,"to_index":435,"sum":30001,"residue":257},{"from_index":435,"to_index":617,"sum":31515,"residue":81},{"from_index":617,"to_index":799,"sum":30508,"residue":88},{"from_index":799,"to_index":981,"sum":30839,"residue":81},{"from_index":981,"to_index":71,"sum":29325,"residue":257}],"minimal_cycle":[250,257,81,88,81,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[71,253],"circle_positions":338,"cycle_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":[72,254,436,618,800,982],"clock_positions":[72,254,436,618,800,982],"native_values":[38,131,207,300,207,131],"rotation_degrees":23.736263736263737,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,131,207,300,207,131],"beta":{"interval_sums":[30789,29882,31465,30389,30958,29375],"interval_residues":[31,138,31,307,200,307],"display_cycle":[31,138,31,307,200,307],"intervals":[{"from_index":72,"to_index":254,"sum":30789,"residue":31},{"from_index":254,"to_index":436,"sum":29882,"residue":138},{"from_index":436,"to_index":618,"sum":31465,"residue":31},{"from_index":618,"to_index":800,"sum":30389,"residue":307},{"from_index":800,"to_index":982,"sum":30958,"residue":200},{"from_index":982,"to_index":72,"sum":29375,"residue":307}],"minimal_cycle":[31,138,31,307,200,307],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[72,254],"circle_positions":338,"cycle_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":[73,255,437,619,801,983],"clock_positions":[73,255,437,619,801,983],"native_values":[219,288,219,119,50,119],"rotation_degrees":24.065934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,288,219,119,50,119],"beta":{"interval_sums":[30701,29801,31546,30477,31039,29294],"interval_residues":[281,57,112,57,281,226],"display_cycle":[281,57,112,57,281,226],"intervals":[{"from_index":73,"to_index":255,"sum":30701,"residue":281},{"from_index":255,"to_index":437,"sum":29801,"residue":57},{"from_index":437,"to_index":619,"sum":31546,"residue":112},{"from_index":619,"to_index":801,"sum":30477,"residue":57},{"from_index":801,"to_index":983,"sum":31039,"residue":281},{"from_index":983,"to_index":73,"sum":29294,"residue":226}],"minimal_cycle":[281,57,112,57,281,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":281,"start_interval_clock_positions":[73,255],"circle_positions":338,"cycle_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":[74,256,438,620,802,984],"clock_positions":[74,256,438,620,802,984],"native_values":[257,81,88,81,257,250],"rotation_degrees":24.395604395604394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,81,88,81,257,250],"beta":{"interval_sums":[30732,29939,31577,30446,30901,29263],"interval_residues":[312,195,143,26,143,195],"display_cycle":[312,195,143,26,143,195],"intervals":[{"from_index":74,"to_index":256,"sum":30732,"residue":312},{"from_index":256,"to_index":438,"sum":29939,"residue":195},{"from_index":438,"to_index":620,"sum":31577,"residue":143},{"from_index":620,"to_index":802,"sum":30446,"residue":26},{"from_index":802,"to_index":984,"sum":30901,"residue":143},{"from_index":984,"to_index":74,"sum":29263,"residue":195}],"minimal_cycle":[312,195,143,26,143,195],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[74,256],"circle_positions":338,"cycle_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":[75,257,439,621,803,985],"clock_positions":[75,257,439,621,803,985],"native_values":[138,31,307,200,307,31],"rotation_degrees":24.725274725274726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,31,307,200,307,31],"beta":{"interval_sums":[30675,29996,31351,30503,30844,29489],"interval_residues":[255,252,255,83,86,83],"display_cycle":[255,252,255,83,86,83],"intervals":[{"from_index":75,"to_index":257,"sum":30675,"residue":255},{"from_index":257,"to_index":439,"sum":29996,"residue":252},{"from_index":439,"to_index":621,"sum":31351,"residue":255},{"from_index":621,"to_index":803,"sum":30503,"residue":83},{"from_index":803,"to_index":985,"sum":30844,"residue":86},{"from_index":985,"to_index":75,"sum":29489,"residue":83}],"minimal_cycle":[255,252,255,83,86,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[75,257],"circle_positions":338,"cycle_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":[76,258,440,622,804,986],"clock_positions":[76,258,440,622,804,986],"native_values":[57,112,57,281,226,281],"rotation_degrees":25.054945054945055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,112,57,281,226,281],"beta":{"interval_sums":[30649,30191,31494,30529,30649,29346],"interval_residues":[229,109,60,109,229,278],"display_cycle":[229,109,60,109,229,278],"intervals":[{"from_index":76,"to_index":258,"sum":30649,"residue":229},{"from_index":258,"to_index":440,"sum":30191,"residue":109},{"from_index":440,"to_index":622,"sum":31494,"residue":60},{"from_index":622,"to_index":804,"sum":30529,"residue":109},{"from_index":804,"to_index":986,"sum":30649,"residue":229},{"from_index":986,"to_index":76,"sum":29346,"residue":278}],"minimal_cycle":[229,109,60,109,229,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[76,258],"circle_positions":338,"cycle_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":[77,259,441,623,805,987],"clock_positions":[77,259,441,623,805,987],"native_values":[195,143,26,143,195,312],"rotation_degrees":25.384615384615383,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,143,26,143,195,312],"beta":{"interval_sums":[30566,30105,31749,30612,30735,29091],"interval_residues":[146,23,315,192,315,23],"display_cycle":[146,23,315,192,315,23],"intervals":[{"from_index":77,"to_index":259,"sum":30566,"residue":146},{"from_index":259,"to_index":441,"sum":30105,"residue":23},{"from_index":441,"to_index":623,"sum":31749,"residue":315},{"from_index":623,"to_index":805,"sum":30612,"residue":192},{"from_index":805,"to_index":987,"sum":30735,"residue":315},{"from_index":987,"to_index":77,"sum":29091,"residue":23}],"minimal_cycle":[146,23,315,192,315,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[77,259],"circle_positions":338,"cycle_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":[78,260,442,624,806,988],"clock_positions":[78,260,442,624,806,988],"native_values":[252,255,83,86,83,255],"rotation_degrees":25.714285714285715,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,255,83,86,83,255],"beta":{"interval_sums":[30457,29876,31809,30721,30964,29031],"interval_residues":[37,132,37,301,206,301],"display_cycle":[37,132,37,301,206,301],"intervals":[{"from_index":78,"to_index":260,"sum":30457,"residue":37},{"from_index":260,"to_index":442,"sum":29876,"residue":132},{"from_index":442,"to_index":624,"sum":31809,"residue":37},{"from_index":624,"to_index":806,"sum":30721,"residue":301},{"from_index":806,"to_index":988,"sum":30964,"residue":206},{"from_index":988,"to_index":78,"sum":29031,"residue":301}],"minimal_cycle":[37,132,37,301,206,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":37,"start_interval_clock_positions":[78,260],"circle_positions":338,"cycle_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":[79,261,443,625,807,989],"clock_positions":[79,261,443,625,807,989],"native_values":[109,60,109,229,278,229],"rotation_degrees":26.043956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,60,109,229,278,229],"beta":{"interval_sums":[30603,29899,31786,30575,30941,29054],"interval_residues":[183,155,14,155,183,324],"display_cycle":[183,155,14,155,183,324],"intervals":[{"from_index":79,"to_index":261,"sum":30603,"residue":183},{"from_index":261,"to_index":443,"sum":29899,"residue":155},{"from_index":443,"to_index":625,"sum":31786,"residue":14},{"from_index":625,"to_index":807,"sum":30575,"residue":155},{"from_index":807,"to_index":989,"sum":30941,"residue":183},{"from_index":989,"to_index":79,"sum":29054,"residue":324}],"minimal_cycle":[183,155,14,155,183,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[79,261],"circle_positions":338,"cycle_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":[80,262,444,626,808,990],"clock_positions":[80,262,444,626,808,990],"native_values":[23,315,192,315,23,146],"rotation_degrees":26.373626373626372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,315,192,315,23,146],"beta":{"interval_sums":[30640,29693,31823,30538,31147,29017],"interval_residues":[220,287,51,118,51,287],"display_cycle":[220,287,51,118,51,287],"intervals":[{"from_index":80,"to_index":262,"sum":30640,"residue":220},{"from_index":262,"to_index":444,"sum":29693,"residue":287},{"from_index":444,"to_index":626,"sum":31823,"residue":51},{"from_index":626,"to_index":808,"sum":30538,"residue":118},{"from_index":808,"to_index":990,"sum":31147,"residue":51},{"from_index":990,"to_index":80,"sum":29017,"residue":287}],"minimal_cycle":[220,287,51,118,51,287],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[80,262],"circle_positions":338,"cycle_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":[81,263,445,627,809,991],"clock_positions":[81,263,445,627,809,991],"native_values":[132,37,301,206,301,37],"rotation_degrees":26.703296703296704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,37,301,206,301,37],"beta":{"interval_sums":[30823,29848,31837,30355,30992,29003],"interval_residues":[65,104,65,273,234,273],"display_cycle":[65,104,65,273,234,273],"intervals":[{"from_index":81,"to_index":263,"sum":30823,"residue":65},{"from_index":263,"to_index":445,"sum":29848,"residue":104},{"from_index":445,"to_index":627,"sum":31837,"residue":65},{"from_index":627,"to_index":809,"sum":30355,"residue":273},{"from_index":809,"to_index":991,"sum":30992,"residue":234},{"from_index":991,"to_index":81,"sum":29003,"residue":273}],"minimal_cycle":[65,104,65,273,234,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[81,263],"circle_positions":338,"cycle_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":[82,264,446,628,810,992],"clock_positions":[82,264,446,628,810,992],"native_values":[155,14,155,183,324,183],"rotation_degrees":27.032967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,14,155,183,324,183],"beta":{"interval_sums":[30705,30135,31888,30473,30705,28952],"interval_residues":[285,53,116,53,285,222],"display_cycle":[285,53,116,53,285,222],"intervals":[{"from_index":82,"to_index":264,"sum":30705,"residue":285},{"from_index":264,"to_index":446,"sum":30135,"residue":53},{"from_index":446,"to_index":628,"sum":31888,"residue":116},{"from_index":628,"to_index":810,"sum":30473,"residue":53},{"from_index":810,"to_index":992,"sum":30705,"residue":285},{"from_index":992,"to_index":82,"sum":28952,"residue":222}],"minimal_cycle":[285,53,116,53,285,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[82,264],"circle_positions":338,"cycle_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":[83,265,447,629,811,993],"clock_positions":[83,265,447,629,811,993],"native_values":[287,51,118,51,287,220],"rotation_degrees":27.36263736263736,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,51,118,51,287,220],"beta":{"interval_sums":[30432,30239,31953,30746,30601,28887],"interval_residues":[12,157,181,326,181,157],"display_cycle":[12,157,181,326,181,157],"intervals":[{"from_index":83,"to_index":265,"sum":30432,"residue":12},{"from_index":265,"to_index":447,"sum":30239,"residue":157},{"from_index":447,"to_index":629,"sum":31953,"residue":181},{"from_index":629,"to_index":811,"sum":30746,"residue":326},{"from_index":811,"to_index":993,"sum":30601,"residue":181},{"from_index":993,"to_index":83,"sum":28887,"residue":157}],"minimal_cycle":[12,157,181,326,181,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[83,265],"circle_positions":338,"cycle_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":[84,266,448,630,812,994],"clock_positions":[84,266,448,630,812,994],"native_values":[104,65,273,234,273,65],"rotation_degrees":27.692307692307693,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,65,273,234,273,65],"beta":{"interval_sums":[30379,30292,31731,30799,30548,29109],"interval_residues":[297,210,297,41,128,41],"display_cycle":[297,210,297,41,128,41],"intervals":[{"from_index":84,"to_index":266,"sum":30379,"residue":297},{"from_index":266,"to_index":448,"sum":30292,"residue":210},{"from_index":448,"to_index":630,"sum":31731,"residue":297},{"from_index":630,"to_index":812,"sum":30799,"residue":41},{"from_index":812,"to_index":994,"sum":30548,"residue":128},{"from_index":994,"to_index":84,"sum":29109,"residue":41}],"minimal_cycle":[297,210,297,41,128,41],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":297,"start_interval_clock_positions":[84,266],"circle_positions":338,"cycle_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":[85,267,449,631,813,995],"clock_positions":[85,267,449,631,813,995],"native_values":[53,116,53,285,222,285],"rotation_degrees":28.021978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,116,53,285,222,285],"beta":{"interval_sums":[30391,30449,31912,30787,30391,28928],"interval_residues":[309,29,140,29,309,198],"display_cycle":[309,29,140,29,309,198],"intervals":[{"from_index":85,"to_index":267,"sum":30391,"residue":309},{"from_index":267,"to_index":449,"sum":30449,"residue":29},{"from_index":449,"to_index":631,"sum":31912,"residue":140},{"from_index":631,"to_index":813,"sum":30787,"residue":29},{"from_index":813,"to_index":995,"sum":30391,"residue":309},{"from_index":995,"to_index":85,"sum":28928,"residue":198}],"minimal_cycle":[309,29,140,29,309,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[85,267],"circle_positions":338,"cycle_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":[86,268,450,632,814,996],"clock_positions":[86,268,450,632,814,996],"native_values":[157,181,326,181,157,12],"rotation_degrees":28.35164835164835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,181,326,181,157,12],"beta":{"interval_sums":[30350,30321,31871,30828,30519,28969],"interval_residues":[268,239,99,70,99,239],"display_cycle":[268,239,99,70,99,239],"intervals":[{"from_index":86,"to_index":268,"sum":30350,"residue":268},{"from_index":268,"to_index":450,"sum":30321,"residue":239},{"from_index":450,"to_index":632,"sum":31871,"residue":99},{"from_index":632,"to_index":814,"sum":30828,"residue":70},{"from_index":814,"to_index":996,"sum":30519,"residue":99},{"from_index":996,"to_index":86,"sum":28969,"residue":239}],"minimal_cycle":[268,239,99,70,99,239],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[86,268],"circle_positions":338,"cycle_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":[87,269,451,633,815,997],"clock_positions":[87,269,451,633,815,997],"native_values":[210,297,41,128,41,297],"rotation_degrees":28.681318681318682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[210,297,41,128,41,297],"beta":{"interval_sums":[30321,30350,32011,30857,30490,28829],"interval_residues":[239,268,239,99,70,99],"display_cycle":[239,268,239,99,70,99],"intervals":[{"from_index":87,"to_index":269,"sum":30321,"residue":239},{"from_index":269,"to_index":451,"sum":30350,"residue":268},{"from_index":451,"to_index":633,"sum":32011,"residue":239},{"from_index":633,"to_index":815,"sum":30857,"residue":99},{"from_index":815,"to_index":997,"sum":30490,"residue":70},{"from_index":997,"to_index":87,"sum":28829,"residue":99}],"minimal_cycle":[239,268,239,99,70,99],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[87,269],"circle_positions":338,"cycle_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":[88,270,452,634,816,998],"clock_positions":[88,270,452,634,816,998],"native_values":[29,140,29,309,198,309],"rotation_degrees":29.01098901098901,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,140,29,309,198,309],"beta":{"interval_sums":[30589,30251,32110,30589,30589,28730],"interval_residues":[169,169,0,169,169,0],"display_cycle":[169,169,338,169,169,338],"intervals":[{"from_index":88,"to_index":270,"sum":30589,"residue":169},{"from_index":270,"to_index":452,"sum":30251,"residue":169},{"from_index":452,"to_index":634,"sum":32110,"residue":0},{"from_index":634,"to_index":816,"sum":30589,"residue":169},{"from_index":816,"to_index":998,"sum":30589,"residue":169},{"from_index":998,"to_index":88,"sum":28730,"residue":0}],"minimal_cycle":[169,169,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[88,270],"circle_positions":338,"cycle_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":[89,271,453,635,817,999],"clock_positions":[89,271,453,635,817,999],"native_values":[239,99,70,99,239,268],"rotation_degrees":29.34065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,99,70,99,239,268],"beta":{"interval_sums":[30490,30181,32349,30688,30659,28491],"interval_residues":[70,99,239,268,239,99],"display_cycle":[70,99,239,268,239,99],"intervals":[{"from_index":89,"to_index":271,"sum":30490,"residue":70},{"from_index":271,"to_index":453,"sum":30181,"residue":99},{"from_index":453,"to_index":635,"sum":32349,"residue":239},{"from_index":635,"to_index":817,"sum":30688,"residue":268},{"from_index":817,"to_index":999,"sum":30659,"residue":239},{"from_index":999,"to_index":89,"sum":28491,"residue":99}],"minimal_cycle":[70,99,239,268,239,99],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[89,271],"circle_positions":338,"cycle_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":[90,272,454,636,818,1000],"clock_positions":[90,272,454,636,818,1000],"native_values":[268,239,99,70,99,239],"rotation_degrees":29.67032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,239,99,70,99,239],"beta":{"interval_sums":[30321,30012,32349,30857,30828,28491],"interval_residues":[239,268,239,99,70,99],"display_cycle":[239,268,239,99,70,99],"intervals":[{"from_index":90,"to_index":272,"sum":30321,"residue":239},{"from_index":272,"to_index":454,"sum":30012,"residue":268},{"from_index":454,"to_index":636,"sum":32349,"residue":239},{"from_index":636,"to_index":818,"sum":30857,"residue":99},{"from_index":818,"to_index":1000,"sum":30828,"residue":70},{"from_index":1000,"to_index":90,"sum":28491,"residue":99}],"minimal_cycle":[239,268,239,99,70,99],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":239,"start_interval_clock_positions":[90,272],"circle_positions":338,"cycle_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":[91,273,455,637,819,1001],"clock_positions":[91,273,455,637,819,1001],"native_values":[169,338,169,169,338,169],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,338,169],"beta":{"interval_sums":[30391,30111,32250,30787,31067,28590],"interval_residues":[309,29,140,29,309,198],"display_cycle":[309,29,140,29,309,198],"intervals":[{"from_index":91,"to_index":273,"sum":30391,"residue":309},{"from_index":273,"to_index":455,"sum":30111,"residue":29},{"from_index":455,"to_index":637,"sum":32250,"residue":140},{"from_index":637,"to_index":819,"sum":30787,"residue":29},{"from_index":819,"to_index":1001,"sum":31067,"residue":309},{"from_index":1001,"to_index":91,"sum":28590,"residue":198}],"minimal_cycle":[309,29,140,29,309,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[91,273],"circle_positions":338,"cycle_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":[92,274,456,638,820,1002],"clock_positions":[92,274,456,638,820,1002],"native_values":[99,239,268,239,99,70],"rotation_degrees":30.32967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,239,268,239,99,70],"beta":{"interval_sums":[30292,30041,32151,30548,31137,28689],"interval_residues":[210,297,41,128,41,297],"display_cycle":[210,297,41,128,41,297],"intervals":[{"from_index":92,"to_index":274,"sum":30292,"residue":210},{"from_index":274,"to_index":456,"sum":30041,"residue":297},{"from_index":456,"to_index":638,"sum":32151,"residue":41},{"from_index":638,"to_index":820,"sum":30548,"residue":128},{"from_index":820,"to_index":1002,"sum":31137,"residue":41},{"from_index":1002,"to_index":92,"sum":28689,"residue":297}],"minimal_cycle":[210,297,41,128,41,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[92,274],"circle_positions":338,"cycle_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":[93,275,457,639,821,1003],"clock_positions":[93,275,457,639,821,1003],"native_values":[268,239,99,70,99,239],"rotation_degrees":30.65934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,239,99,70,99,239],"beta":{"interval_sums":[30263,30070,32291,30577,31108,28549],"interval_residues":[181,326,181,157,12,157],"display_cycle":[181,326,181,157,12,157],"intervals":[{"from_index":93,"to_index":275,"sum":30263,"residue":181},{"from_index":275,"to_index":457,"sum":30070,"residue":326},{"from_index":457,"to_index":639,"sum":32291,"residue":181},{"from_index":639,"to_index":821,"sum":30577,"residue":157},{"from_index":821,"to_index":1003,"sum":31108,"residue":12},{"from_index":1003,"to_index":93,"sum":28549,"residue":157}],"minimal_cycle":[181,326,181,157,12,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[93,275],"circle_positions":338,"cycle_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":[94,276,458,640,822,1004],"clock_positions":[94,276,458,640,822,1004],"native_values":[29,140,29,309,198,309],"rotation_degrees":30.98901098901099,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,140,29,309,198,309],"beta":{"interval_sums":[30473,30029,32332,30367,31149,28508],"interval_residues":[53,285,222,285,53,116],"display_cycle":[53,285,222,285,53,116],"intervals":[{"from_index":94,"to_index":276,"sum":30473,"residue":53},{"from_index":276,"to_index":458,"sum":30029,"residue":285},{"from_index":458,"to_index":640,"sum":32332,"residue":222},{"from_index":640,"to_index":822,"sum":30367,"residue":285},{"from_index":822,"to_index":1004,"sum":31149,"residue":53},{"from_index":1004,"to_index":94,"sum":28508,"residue":116}],"minimal_cycle":[53,285,222,285,53,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[94,276],"circle_positions":338,"cycle_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":[95,277,459,641,823,1005],"clock_positions":[95,277,459,641,823,1005],"native_values":[297,41,128,41,297,210],"rotation_degrees":31.318681318681318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,41,128,41,297,210],"beta":{"interval_sums":[30316,30017,32513,30524,31161,28327],"interval_residues":[234,273,65,104,65,273],"display_cycle":[234,273,65,104,65,273],"intervals":[{"from_index":95,"to_index":277,"sum":30316,"residue":234},{"from_index":277,"to_index":459,"sum":30017,"residue":273},{"from_index":459,"to_index":641,"sum":32513,"residue":65},{"from_index":641,"to_index":823,"sum":30524,"residue":104},{"from_index":823,"to_index":1005,"sum":31161,"residue":65},{"from_index":1005,"to_index":95,"sum":28327,"residue":273}],"minimal_cycle":[234,273,65,104,65,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[95,277],"circle_positions":338,"cycle_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":[96,278,460,642,824,1006],"clock_positions":[96,278,460,642,824,1006],"native_values":[326,181,157,12,157,181],"rotation_degrees":31.64835164835165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,181,157,12,157,181],"beta":{"interval_sums":[30031,29964,32397,30809,31214,28443],"interval_residues":[287,220,287,51,118,51],"display_cycle":[287,220,287,51,118,51],"intervals":[{"from_index":96,"to_index":278,"sum":30031,"residue":287},{"from_index":278,"to_index":460,"sum":29964,"residue":220},{"from_index":460,"to_index":642,"sum":32397,"residue":287},{"from_index":642,"to_index":824,"sum":30809,"residue":51},{"from_index":824,"to_index":1006,"sum":31214,"residue":118},{"from_index":1006,"to_index":96,"sum":28443,"residue":51}],"minimal_cycle":[287,220,287,51,118,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[96,278],"circle_positions":338,"cycle_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":[97,279,461,643,825,1007],"clock_positions":[97,279,461,643,825,1007],"native_values":[285,222,285,53,116,53],"rotation_degrees":31.978021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,222,285,53,116,53],"beta":{"interval_sums":[29927,29899,32124,30913,31279,28716],"interval_residues":[183,155,14,155,183,324],"display_cycle":[183,155,14,155,183,324],"intervals":[{"from_index":97,"to_index":279,"sum":29927,"residue":183},{"from_index":279,"to_index":461,"sum":29899,"residue":155},{"from_index":461,"to_index":643,"sum":32124,"residue":14},{"from_index":643,"to_index":825,"sum":30913,"residue":155},{"from_index":825,"to_index":1007,"sum":31279,"residue":183},{"from_index":1007,"to_index":97,"sum":28716,"residue":324}],"minimal_cycle":[183,155,14,155,183,324],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[97,279],"circle_positions":338,"cycle_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":[98,280,462,644,826,1008],"clock_positions":[98,280,462,644,826,1008],"native_values":[273,65,104,65,273,234],"rotation_degrees":32.30769230769231,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,65,104,65,273,234],"beta":{"interval_sums":[29876,30119,32073,30964,31059,28767],"interval_residues":[132,37,301,206,301,37],"display_cycle":[132,37,301,206,301,37],"intervals":[{"from_index":98,"to_index":280,"sum":29876,"residue":132},{"from_index":280,"to_index":462,"sum":30119,"residue":37},{"from_index":462,"to_index":644,"sum":32073,"residue":301},{"from_index":644,"to_index":826,"sum":30964,"residue":206},{"from_index":826,"to_index":1008,"sum":31059,"residue":301},{"from_index":1008,"to_index":98,"sum":28767,"residue":37}],"minimal_cycle":[132,37,301,206,301,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[98,280],"circle_positions":338,"cycle_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":[99,281,463,645,827,1009],"clock_positions":[99,281,463,645,827,1009],"native_values":[220,287,51,118,51,287],"rotation_degrees":32.637362637362635,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,287,51,118,51,287],"beta":{"interval_sums":[29721,29936,32087,31119,31242,28753],"interval_residues":[315,192,315,23,146,23],"display_cycle":[315,192,315,23,146,23],"intervals":[{"from_index":99,"to_index":281,"sum":29721,"residue":315},{"from_index":281,"to_index":463,"sum":29936,"residue":192},{"from_index":463,"to_index":645,"sum":32087,"residue":315},{"from_index":645,"to_index":827,"sum":31119,"residue":23},{"from_index":827,"to_index":1009,"sum":31242,"residue":146},{"from_index":1009,"to_index":99,"sum":28753,"residue":23}],"minimal_cycle":[315,192,315,23,146,23],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":315,"start_interval_clock_positions":[99,281],"circle_positions":338,"cycle_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":[100,282,464,646,828,1010],"clock_positions":[100,282,464,646,828,1010],"native_values":[155,14,155,183,324,183],"rotation_degrees":32.967032967032964,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,14,155,183,324,183],"beta":{"interval_sums":[29853,29973,32050,30987,31205,28790],"interval_residues":[109,229,278,229,109,60],"display_cycle":[109,229,278,229,109,60],"intervals":[{"from_index":100,"to_index":282,"sum":29853,"residue":109},{"from_index":282,"to_index":464,"sum":29973,"residue":229},{"from_index":464,"to_index":646,"sum":32050,"residue":278},{"from_index":646,"to_index":828,"sum":30987,"residue":229},{"from_index":828,"to_index":1010,"sum":31205,"residue":109},{"from_index":1010,"to_index":100,"sum":28790,"residue":60}],"minimal_cycle":[109,229,278,229,109,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":109,"start_interval_clock_positions":[100,282],"circle_positions":338,"cycle_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":[101,283,465,647,829,1011],"clock_positions":[101,283,465,647,829,1011],"native_values":[37,301,206,301,37,132],"rotation_degrees":33.2967032967033,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,301,206,301,37,132],"beta":{"interval_sums":[29830,29827,32027,31010,31351,28813],"interval_residues":[86,83,255,252,255,83],"display_cycle":[86,83,255,252,255,83],"intervals":[{"from_index":101,"to_index":283,"sum":29830,"residue":86},{"from_index":283,"to_index":465,"sum":29827,"residue":83},{"from_index":465,"to_index":647,"sum":32027,"residue":255},{"from_index":647,"to_index":829,"sum":31010,"residue":252},{"from_index":829,"to_index":1011,"sum":31351,"residue":255},{"from_index":1011,"to_index":101,"sum":28813,"residue":83}],"minimal_cycle":[86,83,255,252,255,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[101,283],"circle_positions":338,"cycle_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":[102,284,466,648,830,1012],"clock_positions":[102,284,466,648,830,1012],"native_values":[192,315,23,146,23,315],"rotation_degrees":33.62637362637363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[192,315,23,146,23,315],"beta":{"interval_sums":[29939,29718,32305,30901,31460,28535],"interval_residues":[195,312,195,143,26,143],"display_cycle":[195,312,195,143,26,143],"intervals":[{"from_index":102,"to_index":284,"sum":29939,"residue":195},{"from_index":284,"to_index":466,"sum":29718,"residue":312},{"from_index":466,"to_index":648,"sum":32305,"residue":195},{"from_index":648,"to_index":830,"sum":30901,"residue":143},{"from_index":830,"to_index":1012,"sum":31460,"residue":26},{"from_index":1012,"to_index":102,"sum":28535,"residue":143}],"minimal_cycle":[195,312,195,143,26,143],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[102,284],"circle_positions":338,"cycle_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":[103,285,467,649,831,1013],"clock_positions":[103,285,467,649,831,1013],"native_values":[229,278,229,109,60,109],"rotation_degrees":33.956043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,278,229,109,60,109],"beta":{"interval_sums":[30025,29463,32222,30815,31715,28618],"interval_residues":[281,57,112,57,281,226],"display_cycle":[281,57,112,57,281,226],"intervals":[{"from_index":103,"to_index":285,"sum":30025,"residue":281},{"from_index":285,"to_index":467,"sum":29463,"residue":57},{"from_index":467,"to_index":649,"sum":32222,"residue":112},{"from_index":649,"to_index":831,"sum":30815,"residue":57},{"from_index":831,"to_index":1013,"sum":31715,"residue":281},{"from_index":1013,"to_index":103,"sum":28618,"residue":226}],"minimal_cycle":[281,57,112,57,281,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":281,"start_interval_clock_positions":[103,285],"circle_positions":338,"cycle_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":[104,286,468,650,832,1014],"clock_positions":[104,286,468,650,832,1014],"native_values":[83,255,252,255,83,86],"rotation_degrees":34.285714285714285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,255,252,255,83,86],"beta":{"interval_sums":[30220,29437,32079,30620,31741,28761],"interval_residues":[138,31,307,200,307,31],"display_cycle":[138,31,307,200,307,31],"intervals":[{"from_index":104,"to_index":286,"sum":30220,"residue":138},{"from_index":286,"to_index":468,"sum":29437,"residue":31},{"from_index":468,"to_index":650,"sum":32079,"residue":307},{"from_index":650,"to_index":832,"sum":30620,"residue":200},{"from_index":832,"to_index":1014,"sum":31741,"residue":307},{"from_index":1014,"to_index":104,"sum":28761,"residue":31}],"minimal_cycle":[138,31,307,200,307,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[104,286],"circle_positions":338,"cycle_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":[105,287,469,651,833,1015],"clock_positions":[105,287,469,651,833,1015],"native_values":[312,195,143,26,143,195],"rotation_degrees":34.61538461538461,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,195,143,26,143,195],"beta":{"interval_sums":[30163,29494,32191,30677,31684,28649],"interval_residues":[81,88,81,257,250,257],"display_cycle":[81,88,81,257,250,257],"intervals":[{"from_index":105,"to_index":287,"sum":30163,"residue":81},{"from_index":287,"to_index":469,"sum":29494,"residue":88},{"from_index":469,"to_index":651,"sum":32191,"residue":81},{"from_index":651,"to_index":833,"sum":30677,"residue":257},{"from_index":833,"to_index":1015,"sum":31684,"residue":250},{"from_index":1015,"to_index":105,"sum":28649,"residue":257}],"minimal_cycle":[81,88,81,257,250,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[105,287],"circle_positions":338,"cycle_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":[106,288,470,652,834,1016],"clock_positions":[106,288,470,652,834,1016],"native_values":[57,112,57,281,226,281],"rotation_degrees":34.94505494505494,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,112,57,281,226,281],"beta":{"interval_sums":[30301,29525,32160,30539,31653,28680],"interval_residues":[219,119,50,119,219,288],"display_cycle":[219,119,50,119,219,288],"intervals":[{"from_index":106,"to_index":288,"sum":30301,"residue":219},{"from_index":288,"to_index":470,"sum":29525,"residue":119},{"from_index":470,"to_index":652,"sum":32160,"residue":50},{"from_index":652,"to_index":834,"sum":30539,"residue":119},{"from_index":834,"to_index":1016,"sum":31653,"residue":219},{"from_index":1016,"to_index":106,"sum":28680,"residue":288}],"minimal_cycle":[219,119,50,119,219,288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[106,288],"circle_positions":338,"cycle_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":[107,289,471,653,835,1017],"clock_positions":[107,289,471,653,835,1017],"native_values":[31,307,200,307,31,138],"rotation_degrees":35.27472527472528,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,307,200,307,31,138],"beta":{"interval_sums":[30382,29275,32241,30458,31903,28599],"interval_residues":[300,207,131,38,131,207],"display_cycle":[300,207,131,38,131,207],"intervals":[{"from_index":107,"to_index":289,"sum":30382,"residue":300},{"from_index":289,"to_index":471,"sum":29275,"residue":207},{"from_index":471,"to_index":653,"sum":32241,"residue":131},{"from_index":653,"to_index":835,"sum":30458,"residue":38},{"from_index":835,"to_index":1017,"sum":31903,"residue":131},{"from_index":1017,"to_index":107,"sum":28599,"residue":207}],"minimal_cycle":[300,207,131,38,131,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[107,289],"circle_positions":338,"cycle_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":[108,290,472,654,836,1018],"clock_positions":[108,290,472,654,836,1018],"native_values":[88,81,257,250,257,81],"rotation_degrees":35.604395604395606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,81,257,250,257,81],"beta":{"interval_sums":[30601,29394,32291,30239,31784,28549],"interval_residues":[181,326,181,157,12,157],"display_cycle":[181,326,181,157,12,157],"intervals":[{"from_index":108,"to_index":290,"sum":30601,"residue":181},{"from_index":290,"to_index":472,"sum":29394,"residue":326},{"from_index":472,"to_index":654,"sum":32291,"residue":181},{"from_index":654,"to_index":836,"sum":30239,"residue":157},{"from_index":836,"to_index":1018,"sum":31784,"residue":12},{"from_index":1018,"to_index":108,"sum":28549,"residue":157}],"minimal_cycle":[181,326,181,157,12,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[108,290],"circle_positions":338,"cycle_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":[109,291,473,655,837,1019],"clock_positions":[109,291,473,655,837,1019],"native_values":[119,50,119,219,288,219],"rotation_degrees":35.934065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[119,50,119,219,288,219],"beta":{"interval_sums":[30563,29601,32422,30277,31577,28418],"interval_residues":[143,195,312,195,143,26],"display_cycle":[143,195,312,195,143,26],"intervals":[{"from_index":109,"to_index":291,"sum":30563,"residue":143},{"from_index":291,"to_index":473,"sum":29601,"residue":195},{"from_index":473,"to_index":655,"sum":32422,"residue":312},{"from_index":655,"to_index":837,"sum":30277,"residue":195},{"from_index":837,"to_index":1019,"sum":31577,"residue":143},{"from_index":1019,"to_index":109,"sum":28418,"residue":26}],"minimal_cycle":[143,195,312,195,143,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[109,291],"circle_positions":338,"cycle_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":[110,292,474,656,838,1020],"clock_positions":[110,292,474,656,838,1020],"native_values":[207,131,38,131,207,300],"rotation_degrees":36.26373626373626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[207,131,38,131,207,300],"beta":{"interval_sums":[30406,29589,32603,30434,31589,28237],"interval_residues":[324,183,155,14,155,183],"display_cycle":[324,183,155,14,155,183],"intervals":[{"from_index":110,"to_index":292,"sum":30406,"residue":324},{"from_index":292,"to_index":474,"sum":29589,"residue":183},{"from_index":474,"to_index":656,"sum":32603,"residue":155},{"from_index":656,"to_index":838,"sum":30434,"residue":14},{"from_index":838,"to_index":1020,"sum":31589,"residue":155},{"from_index":1020,"to_index":110,"sum":28237,"residue":183}],"minimal_cycle":[324,183,155,14,155,183],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":324,"start_interval_clock_positions":[110,292],"circle_positions":338,"cycle_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":[111,293,475,657,839,1021],"clock_positions":[111,293,475,657,839,1021],"native_values":[326,181,157,12,157,181],"rotation_degrees":36.59340659340659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[326,181,157,12,157,181],"beta":{"interval_sums":[30211,29446,32577,30629,31732,28263],"interval_residues":[129,40,129,209,298,209],"display_cycle":[129,40,129,209,298,209],"intervals":[{"from_index":111,"to_index":293,"sum":30211,"residue":129},{"from_index":293,"to_index":475,"sum":29446,"residue":40},{"from_index":475,"to_index":657,"sum":32577,"residue":129},{"from_index":657,"to_index":839,"sum":30629,"residue":209},{"from_index":839,"to_index":1021,"sum":31732,"residue":298},{"from_index":1021,"to_index":111,"sum":28263,"residue":209}],"minimal_cycle":[129,40,129,209,298,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":129,"start_interval_clock_positions":[111,293],"circle_positions":338,"cycle_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":[112,294,476,658,840,1022],"clock_positions":[112,294,476,658,840,1022],"native_values":[195,312,195,143,26,143],"rotation_degrees":36.92307692307692,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[195,312,195,143,26,143],"beta":{"interval_sums":[30197,29291,32394,30643,31887,28446],"interval_residues":[115,223,284,223,115,54],"display_cycle":[115,223,284,223,115,54],"intervals":[{"from_index":112,"to_index":294,"sum":30197,"residue":115},{"from_index":294,"to_index":476,"sum":29291,"residue":223},{"from_index":476,"to_index":658,"sum":32394,"residue":284},{"from_index":658,"to_index":840,"sum":30643,"residue":223},{"from_index":840,"to_index":1022,"sum":31887,"residue":115},{"from_index":1022,"to_index":112,"sum":28446,"residue":54}],"minimal_cycle":[115,223,284,223,115,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":115,"start_interval_clock_positions":[112,294],"circle_positions":338,"cycle_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":[113,295,477,659,841,1023],"clock_positions":[113,295,477,659,841,1023],"native_values":[183,155,14,155,183,324],"rotation_degrees":37.252747252747255,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,155,14,155,183,324],"beta":{"interval_sums":[30326,29331,32523,30514,31847,28317],"interval_residues":[244,263,75,94,75,263],"display_cycle":[244,263,75,94,75,263],"intervals":[{"from_index":113,"to_index":295,"sum":30326,"residue":244},{"from_index":295,"to_index":477,"sum":29331,"residue":263},{"from_index":477,"to_index":659,"sum":32523,"residue":75},{"from_index":659,"to_index":841,"sum":30514,"residue":94},{"from_index":841,"to_index":1023,"sum":31847,"residue":75},{"from_index":1023,"to_index":113,"sum":28317,"residue":263}],"minimal_cycle":[244,263,75,94,75,263],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[113,295],"circle_positions":338,"cycle_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":[114,296,478,660,842,1024],"clock_positions":[114,296,478,660,842,1024],"native_values":[40,129,209,298,209,129],"rotation_degrees":37.582417582417584,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,129,209,298,209,129],"beta":{"interval_sums":[30441,29216,32469,30399,31962,28371],"interval_residues":[21,148,21,317,190,317],"display_cycle":[21,148,21,317,190,317],"intervals":[{"from_index":114,"to_index":296,"sum":30441,"residue":21},{"from_index":296,"to_index":478,"sum":29216,"residue":148},{"from_index":478,"to_index":660,"sum":32469,"residue":21},{"from_index":660,"to_index":842,"sum":30399,"residue":317},{"from_index":842,"to_index":1024,"sum":31962,"residue":190},{"from_index":1024,"to_index":114,"sum":28371,"residue":317}],"minimal_cycle":[21,148,21,317,190,317],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[114,296],"circle_positions":338,"cycle_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":[115,297,479,661,843,1025],"clock_positions":[115,297,479,661,843,1025],"native_values":[223,284,223,115,54,115],"rotation_degrees":37.91208791208791,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,284,223,115,54,115],"beta":{"interval_sums":[30347,29141,32544,30493,32037,28296],"interval_residues":[265,73,96,73,265,242],"display_cycle":[265,73,96,73,265,242],"intervals":[{"from_index":115,"to_index":297,"sum":30347,"residue":265},{"from_index":297,"to_index":479,"sum":29141,"residue":73},{"from_index":479,"to_index":661,"sum":32544,"residue":96},{"from_index":661,"to_index":843,"sum":30493,"residue":73},{"from_index":843,"to_index":1025,"sum":32037,"residue":265},{"from_index":1025,"to_index":115,"sum":28296,"residue":242}],"minimal_cycle":[265,73,96,73,265,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[115,297],"circle_positions":338,"cycle_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":[116,298,480,662,844,1026],"clock_positions":[116,298,480,662,844,1026],"native_values":[263,75,94,75,263,244],"rotation_degrees":38.24175824175824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[263,75,94,75,263,244],"beta":{"interval_sums":[30368,29289,32565,30472,31889,28275],"interval_residues":[286,221,117,52,117,221],"display_cycle":[286,221,117,52,117,221],"intervals":[{"from_index":116,"to_index":298,"sum":30368,"residue":286},{"from_index":298,"to_index":480,"sum":29289,"residue":221},{"from_index":480,"to_index":662,"sum":32565,"residue":117},{"from_index":662,"to_index":844,"sum":30472,"residue":52},{"from_index":844,"to_index":1026,"sum":31889,"residue":117},{"from_index":1026,"to_index":116,"sum":28275,"residue":221}],"minimal_cycle":[286,221,117,52,117,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[116,298],"circle_positions":338,"cycle_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":[117,299,481,663,845,1027],"clock_positions":[117,299,481,663,845,1027],"native_values":[148,21,317,190,317,21],"rotation_degrees":38.57142857142857,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[148,21,317,190,317,21],"beta":{"interval_sums":[30295,29362,32323,30545,31816,28517],"interval_residues":[213,294,213,125,44,125],"display_cycle":[213,294,213,125,44,125],"intervals":[{"from_index":117,"to_index":299,"sum":30295,"residue":213},{"from_index":299,"to_index":481,"sum":29362,"residue":294},{"from_index":481,"to_index":663,"sum":32323,"residue":213},{"from_index":663,"to_index":845,"sum":30545,"residue":125},{"from_index":845,"to_index":1027,"sum":31816,"residue":44},{"from_index":1027,"to_index":117,"sum":28517,"residue":125}],"minimal_cycle":[213,294,213,125,44,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[117,299],"circle_positions":338,"cycle_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":[118,300,482,664,846,1028],"clock_positions":[118,300,482,664,846,1028],"native_values":[73,96,73,265,242,265],"rotation_degrees":38.9010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,96,73,265,242,265],"beta":{"interval_sums":[30243,29583,32440,30597,31595,28400],"interval_residues":[161,177,330,177,161,8],"display_cycle":[161,177,330,177,161,8],"intervals":[{"from_index":118,"to_index":300,"sum":30243,"residue":161},{"from_index":300,"to_index":482,"sum":29583,"residue":177},{"from_index":482,"to_index":664,"sum":32440,"residue":330},{"from_index":664,"to_index":846,"sum":30597,"residue":177},{"from_index":846,"to_index":1028,"sum":31595,"residue":161},{"from_index":1028,"to_index":118,"sum":28400,"residue":8}],"minimal_cycle":[161,177,330,177,161,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":161,"start_interval_clock_positions":[118,300],"circle_positions":338,"cycle_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":[119,301,483,665,847,1029],"clock_positions":[119,301,483,665,847,1029],"native_values":[221,117,52,117,221,286],"rotation_degrees":39.23076923076923,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,117,52,117,221,286],"beta":{"interval_sums":[30118,29539,32653,30722,31639,28187],"interval_residues":[36,133,205,302,205,133],"display_cycle":[36,133,205,302,205,133],"intervals":[{"from_index":119,"to_index":301,"sum":30118,"residue":36},{"from_index":301,"to_index":483,"sum":29539,"residue":133},{"from_index":483,"to_index":665,"sum":32653,"residue":205},{"from_index":665,"to_index":847,"sum":30722,"residue":302},{"from_index":847,"to_index":1029,"sum":31639,"residue":205},{"from_index":1029,"to_index":119,"sum":28187,"residue":133}],"minimal_cycle":[36,133,205,302,205,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[119,301],"circle_positions":338,"cycle_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":[120,302,484,666,848,1030],"clock_positions":[120,302,484,666,848,1030],"native_values":[294,213,125,44,125,213],"rotation_degrees":39.56043956043956,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,213,125,44,125,213],"beta":{"interval_sums":[29941,29378,32645,30899,31800,28195],"interval_residues":[197,310,197,141,28,141],"display_cycle":[197,310,197,141,28,141],"intervals":[{"from_index":120,"to_index":302,"sum":29941,"residue":197},{"from_index":302,"to_index":484,"sum":29378,"residue":310},{"from_index":484,"to_index":666,"sum":32645,"residue":197},{"from_index":666,"to_index":848,"sum":30899,"residue":141},{"from_index":848,"to_index":1030,"sum":31800,"residue":28},{"from_index":1030,"to_index":120,"sum":28195,"residue":141}],"minimal_cycle":[197,310,197,141,28,141],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":197,"start_interval_clock_positions":[120,302],"circle_positions":338,"cycle_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":[121,303,485,667,849,1031],"clock_positions":[121,303,485,667,849,1031],"native_values":[177,330,177,161,8,161],"rotation_degrees":39.89010989010989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,330,177,161,8,161],"beta":{"interval_sums":[29977,29173,32512,30863,32005,28328],"interval_residues":[233,105,64,105,233,274],"display_cycle":[233,105,64,105,233,274],"intervals":[{"from_index":121,"to_index":303,"sum":29977,"residue":233},{"from_index":303,"to_index":485,"sum":29173,"residue":105},{"from_index":485,"to_index":667,"sum":32512,"residue":64},{"from_index":667,"to_index":849,"sum":30863,"residue":105},{"from_index":849,"to_index":1031,"sum":32005,"residue":233},{"from_index":1031,"to_index":121,"sum":28328,"residue":274}],"minimal_cycle":[233,105,64,105,233,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[121,303],"circle_positions":338,"cycle_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":[122,304,486,668,850,1032],"clock_positions":[122,304,486,668,850,1032],"native_values":[133,205,302,205,133,36],"rotation_degrees":40.21978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,205,302,205,133,36],"beta":{"interval_sums":[30174,29145,32371,30666,32033,28469],"interval_residues":[92,77,261,246,261,77],"display_cycle":[92,77,261,246,261,77],"intervals":[{"from_index":122,"to_index":304,"sum":30174,"residue":92},{"from_index":304,"to_index":486,"sum":29145,"residue":77},{"from_index":486,"to_index":668,"sum":32371,"residue":261},{"from_index":668,"to_index":850,"sum":30666,"residue":246},{"from_index":850,"to_index":1032,"sum":32033,"residue":261},{"from_index":1032,"to_index":122,"sum":28469,"residue":77}],"minimal_cycle":[92,77,261,246,261,77],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[122,304],"circle_positions":338,"cycle_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":[123,305,487,669,851,1033],"clock_positions":[123,305,487,669,851,1033],"native_values":[310,197,141,28,141,197],"rotation_degrees":40.54945054945055,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[310,197,141,28,141,197],"beta":{"interval_sums":[30069,29250,32435,30771,31928,28405],"interval_residues":[325,182,325,13,156,13],"display_cycle":[325,182,325,13,156,13],"intervals":[{"from_index":123,"to_index":305,"sum":30069,"residue":325},{"from_index":305,"to_index":487,"sum":29250,"residue":182},{"from_index":487,"to_index":669,"sum":32435,"residue":325},{"from_index":669,"to_index":851,"sum":30771,"residue":13},{"from_index":851,"to_index":1033,"sum":31928,"residue":156},{"from_index":1033,"to_index":123,"sum":28405,"residue":13}],"minimal_cycle":[325,182,325,13,156,13],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[123,305],"circle_positions":338,"cycle_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":[124,306,488,670,852,1034],"clock_positions":[124,306,488,670,852,1034],"native_values":[105,64,105,233,274,233],"rotation_degrees":40.879120879120876,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,64,105,233,274,233],"beta":{"interval_sums":[30161,29327,32358,30679,31851,28482],"interval_residues":[79,259,248,259,79,90],"display_cycle":[79,259,248,259,79,90],"intervals":[{"from_index":124,"to_index":306,"sum":30161,"residue":79},{"from_index":306,"to_index":488,"sum":29327,"residue":259},{"from_index":488,"to_index":670,"sum":32358,"residue":248},{"from_index":670,"to_index":852,"sum":30679,"residue":259},{"from_index":852,"to_index":1034,"sum":31851,"residue":79},{"from_index":1034,"to_index":124,"sum":28482,"residue":90}],"minimal_cycle":[79,259,248,259,79,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[124,306],"circle_positions":338,"cycle_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":[125,307,489,671,853,1035],"clock_positions":[125,307,489,671,853,1035],"native_values":[77,261,246,261,77,92],"rotation_degrees":41.20879120879121,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,261,246,261,77,92],"beta":{"interval_sums":[30148,29171,32345,30692,32007,28495],"interval_residues":[66,103,235,272,235,103],"display_cycle":[66,103,235,272,235,103],"intervals":[{"from_index":125,"to_index":307,"sum":30148,"residue":66},{"from_index":307,"to_index":489,"sum":29171,"residue":103},{"from_index":489,"to_index":671,"sum":32345,"residue":235},{"from_index":671,"to_index":853,"sum":30692,"residue":272},{"from_index":853,"to_index":1035,"sum":32007,"residue":235},{"from_index":1035,"to_index":125,"sum":28495,"residue":103}],"minimal_cycle":[66,103,235,272,235,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[125,307],"circle_positions":338,"cycle_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":[126,308,490,672,854,1036],"clock_positions":[126,308,490,672,854,1036],"native_values":[182,325,13,156,13,325],"rotation_degrees":41.53846153846154,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[182,325,13,156,13,325],"beta":{"interval_sums":[30227,29092,32593,30613,32086,28247],"interval_residues":[145,24,145,193,314,193],"display_cycle":[145,24,145,193,314,193],"intervals":[{"from_index":126,"to_index":308,"sum":30227,"residue":145},{"from_index":308,"to_index":490,"sum":29092,"residue":24},{"from_index":490,"to_index":672,"sum":32593,"residue":145},{"from_index":672,"to_index":854,"sum":30613,"residue":193},{"from_index":854,"to_index":1036,"sum":32086,"residue":314},{"from_index":1036,"to_index":126,"sum":28247,"residue":193}],"minimal_cycle":[145,24,145,193,314,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[126,308],"circle_positions":338,"cycle_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":[127,309,491,673,855,1037],"clock_positions":[127,309,491,673,855,1037],"native_values":[259,248,259,79,90,79],"rotation_degrees":41.86813186813187,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[259,248,259,79,90,79],"beta":{"interval_sums":[30293,28857,32490,30547,32321,28350],"interval_residues":[211,127,42,127,211,296],"display_cycle":[211,127,42,127,211,296],"intervals":[{"from_index":127,"to_index":309,"sum":30293,"residue":211},{"from_index":309,"to_index":491,"sum":28857,"residue":127},{"from_index":491,"to_index":673,"sum":32490,"residue":42},{"from_index":673,"to_index":855,"sum":30547,"residue":127},{"from_index":855,"to_index":1037,"sum":32321,"residue":211},{"from_index":1037,"to_index":127,"sum":28350,"residue":296}],"minimal_cycle":[211,127,42,127,211,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":211,"start_interval_clock_positions":[127,309],"circle_positions":338,"cycle_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":[128,310,492,674,856,1038],"clock_positions":[128,310,492,674,856,1038],"native_values":[103,235,272,235,103,66],"rotation_degrees":42.1978021978022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,235,272,235,103,66],"beta":{"interval_sums":[30438,28881,32297,30402,32297,28543],"interval_residues":[18,151,187,320,187,151],"display_cycle":[18,151,187,320,187,151],"intervals":[{"from_index":128,"to_index":310,"sum":30438,"residue":18},{"from_index":310,"to_index":492,"sum":28881,"residue":151},{"from_index":492,"to_index":674,"sum":32297,"residue":187},{"from_index":674,"to_index":856,"sum":30402,"residue":320},{"from_index":856,"to_index":1038,"sum":32297,"residue":187},{"from_index":1038,"to_index":128,"sum":28543,"residue":151}],"minimal_cycle":[18,151,187,320,187,151],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[128,310],"circle_positions":338,"cycle_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":[129,311,493,675,857,1039],"clock_positions":[129,311,493,675,857,1039],"native_values":[24,145,193,314,193,145],"rotation_degrees":42.527472527472526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[24,145,193,314,193,145],"beta":{"interval_sums":[30649,29008,32339,30191,32170,28501],"interval_residues":[229,278,229,109,60,109],"display_cycle":[229,278,229,109,60,109],"intervals":[{"from_index":129,"to_index":311,"sum":30649,"residue":229},{"from_index":311,"to_index":493,"sum":29008,"residue":278},{"from_index":493,"to_index":675,"sum":32339,"residue":229},{"from_index":675,"to_index":857,"sum":30191,"residue":109},{"from_index":857,"to_index":1039,"sum":32170,"residue":60},{"from_index":1039,"to_index":129,"sum":28501,"residue":109}],"minimal_cycle":[229,278,229,109,60,109],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[129,311],"circle_positions":338,"cycle_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":[130,312,494,676,858,1040],"clock_positions":[130,312,494,676,858,1040],"native_values":[127,42,127,211,296,211],"rotation_degrees":42.857142857142854,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,42,127,211,296,211],"beta":{"interval_sums":[30667,29159,32526,30173,32019,28314],"interval_residues":[247,91,78,91,247,260],"display_cycle":[247,91,78,91,247,260],"intervals":[{"from_index":130,"to_index":312,"sum":30667,"residue":247},{"from_index":312,"to_index":494,"sum":29159,"residue":91},{"from_index":494,"to_index":676,"sum":32526,"residue":78},{"from_index":676,"to_index":858,"sum":30173,"residue":91},{"from_index":858,"to_index":1040,"sum":32019,"residue":247},{"from_index":1040,"to_index":130,"sum":28314,"residue":260}],"minimal_cycle":[247,91,78,91,247,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[130,312],"circle_positions":338,"cycle_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":[131,313,495,677,859,1041],"clock_positions":[131,313,495,677,859,1041],"native_values":[151,187,320,187,151,18],"rotation_degrees":43.18681318681319,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,187,320,187,151,18],"beta":{"interval_sums":[30558,29099,32417,30282,32079,28423],"interval_residues":[138,31,307,200,307,31],"display_cycle":[138,31,307,200,307,31],"intervals":[{"from_index":131,"to_index":313,"sum":30558,"residue":138},{"from_index":313,"to_index":495,"sum":29099,"residue":31},{"from_index":495,"to_index":677,"sum":32417,"residue":307},{"from_index":677,"to_index":859,"sum":30282,"residue":200},{"from_index":859,"to_index":1041,"sum":32079,"residue":307},{"from_index":1041,"to_index":131,"sum":28423,"residue":31}],"minimal_cycle":[138,31,307,200,307,31],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[131,313],"circle_positions":338,"cycle_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":[132,314,496,678,860,1042],"clock_positions":[132,314,496,678,860,1042],"native_values":[278,229,109,60,109,229],"rotation_degrees":43.51648351648352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,229,109,60,109,229],"beta":{"interval_sums":[30467,29190,32495,30373,31988,28345],"interval_residues":[47,122,47,291,216,291],"display_cycle":[47,122,47,291,216,291],"intervals":[{"from_index":132,"to_index":314,"sum":30467,"residue":47},{"from_index":314,"to_index":496,"sum":29190,"residue":122},{"from_index":496,"to_index":678,"sum":32495,"residue":47},{"from_index":678,"to_index":860,"sum":30373,"residue":291},{"from_index":860,"to_index":1042,"sum":31988,"residue":216},{"from_index":1042,"to_index":132,"sum":28345,"residue":291}],"minimal_cycle":[47,122,47,291,216,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[132,314],"circle_positions":338,"cycle_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":[133,315,497,679,861,1043],"clock_positions":[133,315,497,679,861,1043],"native_values":[91,78,91,247,260,247],"rotation_degrees":43.84615384615385,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,78,91,247,260,247],"beta":{"interval_sums":[30605,29221,32464,30235,31957,28376],"interval_residues":[185,153,16,153,185,322],"display_cycle":[185,153,16,153,185,322],"intervals":[{"from_index":133,"to_index":315,"sum":30605,"residue":185},{"from_index":315,"to_index":497,"sum":29221,"residue":153},{"from_index":497,"to_index":679,"sum":32464,"residue":16},{"from_index":679,"to_index":861,"sum":30235,"residue":153},{"from_index":861,"to_index":1043,"sum":31957,"residue":185},{"from_index":1043,"to_index":133,"sum":28376,"residue":322}],"minimal_cycle":[185,153,16,153,185,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":185,"start_interval_clock_positions":[133,315],"circle_positions":338,"cycle_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":[134,316,498,680,862,1044],"clock_positions":[134,316,498,680,862,1044],"native_values":[31,307,200,307,31,138],"rotation_degrees":44.175824175824175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,307,200,307,31,138],"beta":{"interval_sums":[30652,29005,32511,30188,32173,28329],"interval_residues":[232,275,63,106,63,275],"display_cycle":[232,275,63,106,63,275],"intervals":[{"from_index":134,"to_index":316,"sum":30652,"residue":232},{"from_index":316,"to_index":498,"sum":29005,"residue":275},{"from_index":498,"to_index":680,"sum":32511,"residue":63},{"from_index":680,"to_index":862,"sum":30188,"residue":106},{"from_index":862,"to_index":1044,"sum":32173,"residue":63},{"from_index":1044,"to_index":134,"sum":28329,"residue":275}],"minimal_cycle":[232,275,63,106,63,275],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[134,316],"circle_positions":338,"cycle_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":[135,317,499,681,863,1045],"clock_positions":[135,317,499,681,863,1045],"native_values":[122,47,291,216,291,47],"rotation_degrees":44.505494505494504,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[122,47,291,216,291,47],"beta":{"interval_sums":[30837,29158,32527,30003,32020,28313],"interval_residues":[79,90,79,259,248,259],"display_cycle":[79,90,79,259,248,259],"intervals":[{"from_index":135,"to_index":317,"sum":30837,"residue":79},{"from_index":317,"to_index":499,"sum":29158,"residue":90},{"from_index":499,"to_index":681,"sum":32527,"residue":79},{"from_index":681,"to_index":863,"sum":30003,"residue":259},{"from_index":863,"to_index":1045,"sum":32020,"residue":248},{"from_index":1045,"to_index":135,"sum":28313,"residue":259}],"minimal_cycle":[79,90,79,259,248,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":79,"start_interval_clock_positions":[135,317],"circle_positions":338,"cycle_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":[136,318,500,682,864,1046],"clock_positions":[136,318,500,682,864,1046],"native_values":[153,16,153,185,322,185],"rotation_degrees":44.83516483516483,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,16,153,185,322,185],"beta":{"interval_sums":[30731,29433,32590,30109,31745,28250],"interval_residues":[311,27,142,27,311,196],"display_cycle":[311,27,142,27,311,196],"intervals":[{"from_index":136,"to_index":318,"sum":30731,"residue":311},{"from_index":318,"to_index":500,"sum":29433,"residue":27},{"from_index":500,"to_index":682,"sum":32590,"residue":142},{"from_index":682,"to_index":864,"sum":30109,"residue":27},{"from_index":864,"to_index":1046,"sum":31745,"residue":311},{"from_index":1046,"to_index":136,"sum":28250,"residue":196}],"minimal_cycle":[311,27,142,27,311,196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[136,318],"circle_positions":338,"cycle_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":[137,319,501,683,865,1047],"clock_positions":[137,319,501,683,865,1047],"native_values":[275,63,106,63,275,232],"rotation_degrees":45.16483516483517,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,63,106,63,275,232],"beta":{"interval_sums":[30472,29523,32669,30368,31655,28171],"interval_residues":[52,117,221,286,221,117],"display_cycle":[52,117,221,286,221,117],"intervals":[{"from_index":137,"to_index":319,"sum":30472,"residue":52},{"from_index":319,"to_index":501,"sum":29523,"residue":117},{"from_index":501,"to_index":683,"sum":32669,"residue":221},{"from_index":683,"to_index":865,"sum":30368,"residue":286},{"from_index":865,"to_index":1047,"sum":31655,"residue":221},{"from_index":1047,"to_index":137,"sum":28171,"residue":117}],"minimal_cycle":[52,117,221,286,221,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[137,319],"circle_positions":338,"cycle_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":[138,320,502,684,866,1048],"clock_positions":[138,320,502,684,866,1048],"native_values":[90,79,259,248,259,79],"rotation_degrees":45.494505494505496,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,79,259,248,259,79],"beta":{"interval_sums":[30445,29550,32473,30395,31628,28367],"interval_residues":[25,144,25,313,194,313],"display_cycle":[25,144,25,313,194,313],"intervals":[{"from_index":138,"to_index":320,"sum":30445,"residue":25},{"from_index":320,"to_index":502,"sum":29550,"residue":144},{"from_index":502,"to_index":684,"sum":32473,"residue":25},{"from_index":684,"to_index":866,"sum":30395,"residue":313},{"from_index":866,"to_index":1048,"sum":31628,"residue":194},{"from_index":1048,"to_index":138,"sum":28367,"residue":313}],"minimal_cycle":[25,144,25,313,194,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":25,"start_interval_clock_positions":[138,320],"circle_positions":338,"cycle_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":[139,321,503,685,867,1049],"clock_positions":[139,321,503,685,867,1049],"native_values":[27,142,27,311,196,311],"rotation_degrees":45.824175824175825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,142,27,311,196,311],"beta":{"interval_sums":[30497,29667,32694,30343,31511,28146],"interval_residues":[77,261,246,261,77,92],"display_cycle":[77,261,246,261,77,92],"intervals":[{"from_index":139,"to_index":321,"sum":30497,"residue":77},{"from_index":321,"to_index":503,"sum":29667,"residue":261},{"from_index":503,"to_index":685,"sum":32694,"residue":246},{"from_index":685,"to_index":867,"sum":30343,"residue":261},{"from_index":867,"to_index":1049,"sum":31511,"residue":77},{"from_index":1049,"to_index":139,"sum":28146,"residue":92}],"minimal_cycle":[77,261,246,261,77,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[139,321],"circle_positions":338,"cycle_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":[140,322,504,686,868,1050],"clock_positions":[140,322,504,686,868,1050],"native_values":[117,221,286,221,117,52],"rotation_degrees":46.15384615384615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,221,286,221,117,52],"beta":{"interval_sums":[30522,29473,32719,30318,31705,28121],"interval_residues":[102,67,271,236,271,67],"display_cycle":[102,67,271,236,271,67],"intervals":[{"from_index":140,"to_index":322,"sum":30522,"residue":102},{"from_index":322,"to_index":504,"sum":29473,"residue":67},{"from_index":504,"to_index":686,"sum":32719,"residue":271},{"from_index":686,"to_index":868,"sum":30318,"residue":236},{"from_index":868,"to_index":1050,"sum":31705,"residue":271},{"from_index":1050,"to_index":140,"sum":28121,"residue":67}],"minimal_cycle":[102,67,271,236,271,67],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[140,322],"circle_positions":338,"cycle_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":[141,323,505,687,869,1051],"clock_positions":[141,323,505,687,869,1051],"native_values":[144,25,313,194,313,25],"rotation_degrees":46.48351648351648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,25,313,194,313,25],"beta":{"interval_sums":[30599,29734,32627,30241,31444,28213],"interval_residues":[179,328,179,159,10,159],"display_cycle":[179,328,179,159,10,159],"intervals":[{"from_index":141,"to_index":323,"sum":30599,"residue":179},{"from_index":323,"to_index":505,"sum":29734,"residue":328},{"from_index":505,"to_index":687,"sum":32627,"residue":179},{"from_index":687,"to_index":869,"sum":30241,"residue":159},{"from_index":869,"to_index":1051,"sum":31444,"residue":10},{"from_index":1051,"to_index":141,"sum":28213,"residue":159}],"minimal_cycle":[179,328,179,159,10,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":179,"start_interval_clock_positions":[141,323],"circle_positions":338,"cycle_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":[142,324,506,688,870,1052],"clock_positions":[142,324,506,688,870,1052],"native_values":[261,246,261,77,92,77],"rotation_degrees":46.81318681318681,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,246,261,77,92,77],"beta":{"interval_sums":[30363,29801,32560,30477,31377,28280],"interval_residues":[281,57,112,57,281,226],"display_cycle":[281,57,112,57,281,226],"intervals":[{"from_index":142,"to_index":324,"sum":30363,"residue":281},{"from_index":324,"to_index":506,"sum":29801,"residue":57},{"from_index":506,"to_index":688,"sum":32560,"residue":112},{"from_index":688,"to_index":870,"sum":30477,"residue":57},{"from_index":870,"to_index":1052,"sum":31377,"residue":281},{"from_index":1052,"to_index":142,"sum":28280,"residue":226}],"minimal_cycle":[281,57,112,57,281,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":281,"start_interval_clock_positions":[142,324],"circle_positions":338,"cycle_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":[143,325,507,689,871,1053],"clock_positions":[143,325,507,689,871,1053],"native_values":[67,271,236,271,67,102],"rotation_degrees":47.142857142857146,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[67,271,236,271,67,102],"beta":{"interval_sums":[30542,29791,32401,30298,31387,28439],"interval_residues":[122,47,291,216,291,47],"display_cycle":[122,47,291,216,291,47],"intervals":[{"from_index":143,"to_index":325,"sum":30542,"residue":122},{"from_index":325,"to_index":507,"sum":29791,"residue":47},{"from_index":507,"to_index":689,"sum":32401,"residue":291},{"from_index":689,"to_index":871,"sum":30298,"residue":216},{"from_index":871,"to_index":1053,"sum":31387,"residue":291},{"from_index":1053,"to_index":143,"sum":28439,"residue":47}],"minimal_cycle":[122,47,291,216,291,47],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[143,325],"circle_positions":338,"cycle_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":[144,326,508,690,872,1054],"clock_positions":[144,326,508,690,872,1054],"native_values":[328,179,159,10,159,179],"rotation_degrees":47.472527472527474,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[328,179,159,10,159,179],"beta":{"interval_sums":[30485,29848,32513,30355,31330,28327],"interval_residues":[65,104,65,273,234,273],"display_cycle":[65,104,65,273,234,273],"intervals":[{"from_index":144,"to_index":326,"sum":30485,"residue":65},{"from_index":326,"to_index":508,"sum":29848,"residue":104},{"from_index":508,"to_index":690,"sum":32513,"residue":65},{"from_index":690,"to_index":872,"sum":30355,"residue":273},{"from_index":872,"to_index":1054,"sum":31330,"residue":234},{"from_index":1054,"to_index":144,"sum":28327,"residue":273}],"minimal_cycle":[65,104,65,273,234,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[144,326],"circle_positions":338,"cycle_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":[145,327,509,691,873,1055],"clock_positions":[145,327,509,691,873,1055],"native_values":[57,112,57,281,226,281],"rotation_degrees":47.8021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,112,57,281,226,281],"beta":{"interval_sums":[30607,29895,32466,30233,31283,28374],"interval_residues":[187,151,18,151,187,320],"display_cycle":[187,151,18,151,187,320],"intervals":[{"from_index":145,"to_index":327,"sum":30607,"residue":187},{"from_index":327,"to_index":509,"sum":29895,"residue":151},{"from_index":509,"to_index":691,"sum":32466,"residue":18},{"from_index":691,"to_index":873,"sum":30233,"residue":151},{"from_index":873,"to_index":1055,"sum":31283,"residue":187},{"from_index":1055,"to_index":145,"sum":28374,"residue":320}],"minimal_cycle":[187,151,18,151,187,320],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":187,"start_interval_clock_positions":[145,327],"circle_positions":338,"cycle_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":[146,328,510,692,874,1056],"clock_positions":[146,328,510,692,874,1056],"native_values":[47,291,216,291,47,122],"rotation_degrees":48.13186813186813,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,291,216,291,47,122],"beta":{"interval_sums":[30672,29661,32531,30168,31517,28309],"interval_residues":[252,255,83,86,83,255],"display_cycle":[252,255,83,86,83,255],"intervals":[{"from_index":146,"to_index":328,"sum":30672,"residue":252},{"from_index":328,"to_index":510,"sum":29661,"residue":255},{"from_index":510,"to_index":692,"sum":32531,"residue":83},{"from_index":692,"to_index":874,"sum":30168,"residue":86},{"from_index":874,"to_index":1056,"sum":31517,"residue":83},{"from_index":1056,"to_index":146,"sum":28309,"residue":255}],"minimal_cycle":[252,255,83,86,83,255],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[146,328],"circle_positions":338,"cycle_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":[147,329,511,693,875,1057],"clock_positions":[147,329,511,693,875,1057],"native_values":[104,65,273,234,273,65],"rotation_degrees":48.46153846153846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[104,65,273,234,273,65],"beta":{"interval_sums":[30859,29812,32549,29981,31366,28291],"interval_residues":[101,68,101,237,270,237],"display_cycle":[101,68,101,237,270,237],"intervals":[{"from_index":147,"to_index":329,"sum":30859,"residue":101},{"from_index":329,"to_index":511,"sum":29812,"residue":68},{"from_index":511,"to_index":693,"sum":32549,"residue":101},{"from_index":693,"to_index":875,"sum":29981,"residue":237},{"from_index":875,"to_index":1057,"sum":31366,"residue":270},{"from_index":1057,"to_index":147,"sum":28291,"residue":237}],"minimal_cycle":[101,68,101,237,270,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[147,329],"circle_positions":338,"cycle_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":[148,330,512,694,876,1058],"clock_positions":[148,330,512,694,876,1058],"native_values":[151,18,151,187,320,187],"rotation_degrees":48.79120879120879,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,18,151,187,320,187],"beta":{"interval_sums":[30773,30067,32632,30067,31111,28208],"interval_residues":[15,323,184,323,15,154],"display_cycle":[15,323,184,323,15,154],"intervals":[{"from_index":148,"to_index":330,"sum":30773,"residue":15},{"from_index":330,"to_index":512,"sum":30067,"residue":323},{"from_index":512,"to_index":694,"sum":32632,"residue":184},{"from_index":694,"to_index":876,"sum":30067,"residue":323},{"from_index":876,"to_index":1058,"sum":31111,"residue":15},{"from_index":1058,"to_index":148,"sum":28208,"residue":154}],"minimal_cycle":[15,323,184,323,15,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[148,330],"circle_positions":338,"cycle_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":[149,331,513,695,877,1059],"clock_positions":[149,331,513,695,877,1059],"native_values":[255,83,86,83,255,252],"rotation_degrees":49.120879120879124,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[255,83,86,83,255,252],"beta":{"interval_sums":[30536,30135,32733,30304,31043,28107],"interval_residues":[116,53,285,222,285,53],"display_cycle":[116,53,285,222,285,53],"intervals":[{"from_index":149,"to_index":331,"sum":30536,"residue":116},{"from_index":331,"to_index":513,"sum":30135,"residue":53},{"from_index":513,"to_index":695,"sum":32733,"residue":285},{"from_index":695,"to_index":877,"sum":30304,"residue":222},{"from_index":877,"to_index":1059,"sum":31043,"residue":285},{"from_index":1059,"to_index":149,"sum":28107,"residue":53}],"minimal_cycle":[116,53,285,222,285,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[149,331],"circle_positions":338,"cycle_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":[150,332,514,696,878,1060],"clock_positions":[150,332,514,696,878,1060],"native_values":[68,101,237,270,237,101],"rotation_degrees":49.45054945054945,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,101,237,270,237,101],"beta":{"interval_sums":[30551,30120,32579,30289,31058,28261],"interval_residues":[131,38,131,207,300,207],"display_cycle":[131,38,131,207,300,207],"intervals":[{"from_index":150,"to_index":332,"sum":30551,"residue":131},{"from_index":332,"to_index":514,"sum":30120,"residue":38},{"from_index":514,"to_index":696,"sum":32579,"residue":131},{"from_index":696,"to_index":878,"sum":30289,"residue":207},{"from_index":878,"to_index":1060,"sum":31058,"residue":300},{"from_index":1060,"to_index":150,"sum":28261,"residue":207}],"minimal_cycle":[131,38,131,207,300,207],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[150,332],"circle_positions":338,"cycle_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":[151,333,515,697,879,1061],"clock_positions":[151,333,515,697,879,1061],"native_values":[323,184,323,15,154,15],"rotation_degrees":49.78021978021978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,184,323,15,154,15],"beta":{"interval_sums":[30329,30173,32526,30511,31005,28314],"interval_residues":[247,91,78,91,247,260],"display_cycle":[247,91,78,91,247,260],"intervals":[{"from_index":151,"to_index":333,"sum":30329,"residue":247},{"from_index":333,"to_index":515,"sum":30173,"residue":91},{"from_index":515,"to_index":697,"sum":32526,"residue":78},{"from_index":697,"to_index":879,"sum":30511,"residue":91},{"from_index":879,"to_index":1061,"sum":31005,"residue":247},{"from_index":1061,"to_index":151,"sum":28314,"residue":260}],"minimal_cycle":[247,91,78,91,247,260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[151,333],"circle_positions":338,"cycle_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":[152,334,516,698,880,1062],"clock_positions":[152,334,516,698,880,1062],"native_values":[53,285,222,285,53,116],"rotation_degrees":50.10989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,285,222,285,53,116],"beta":{"interval_sums":[30460,30211,32319,30380,30967,28521],"interval_residues":[40,129,209,298,209,129],"display_cycle":[40,129,209,298,209,129],"intervals":[{"from_index":152,"to_index":334,"sum":30460,"residue":40},{"from_index":334,"to_index":516,"sum":30211,"residue":129},{"from_index":516,"to_index":698,"sum":32319,"residue":209},{"from_index":698,"to_index":880,"sum":30380,"residue":298},{"from_index":880,"to_index":1062,"sum":30967,"residue":209},{"from_index":1062,"to_index":152,"sum":28521,"residue":129}],"minimal_cycle":[40,129,209,298,209,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[152,334],"circle_positions":338,"cycle_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":[153,335,517,699,881,1063],"clock_positions":[153,335,517,699,881,1063],"native_values":[38,131,207,300,207,131],"rotation_degrees":50.43956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,131,207,300,207,131],"beta":{"interval_sums":[30707,30302,32397,30133,30876,28443],"interval_residues":[287,220,287,51,118,51],"display_cycle":[287,220,287,51,118,51],"intervals":[{"from_index":153,"to_index":335,"sum":30707,"residue":287},{"from_index":335,"to_index":517,"sum":30302,"residue":220},{"from_index":517,"to_index":699,"sum":32397,"residue":287},{"from_index":699,"to_index":881,"sum":30133,"residue":51},{"from_index":881,"to_index":1063,"sum":30876,"residue":118},{"from_index":1063,"to_index":153,"sum":28443,"residue":51}],"minimal_cycle":[287,220,287,51,118,51],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":287,"start_interval_clock_positions":[153,335],"circle_positions":338,"cycle_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":[154,336,518,700,882,1064],"clock_positions":[154,336,518,700,882,1064],"native_values":[91,78,91,247,260,247],"rotation_degrees":50.76923076923077,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[91,78,91,247,260,247],"beta":{"interval_sums":[30747,30431,32606,30093,30747,28234],"interval_residues":[327,11,158,11,327,180],"display_cycle":[327,11,158,11,327,180],"intervals":[{"from_index":154,"to_index":336,"sum":30747,"residue":327},{"from_index":336,"to_index":518,"sum":30431,"residue":11},{"from_index":518,"to_index":700,"sum":32606,"residue":158},{"from_index":700,"to_index":882,"sum":30093,"residue":11},{"from_index":882,"to_index":1064,"sum":30747,"residue":327},{"from_index":1064,"to_index":154,"sum":28234,"residue":180}],"minimal_cycle":[327,11,158,11,327,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":327,"start_interval_clock_positions":[154,336],"circle_positions":338,"cycle_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":[155,337,519,701,883,1065],"clock_positions":[155,337,519,701,883,1065],"native_values":[129,209,298,209,129,40],"rotation_degrees":51.0989010989011,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,209,298,209,129,40],"beta":{"interval_sums":[30696,30313,32555,30144,30865,28285],"interval_residues":[276,231,107,62,107,231],"display_cycle":[276,231,107,62,107,231],"intervals":[{"from_index":155,"to_index":337,"sum":30696,"residue":276},{"from_index":337,"to_index":519,"sum":30313,"residue":231},{"from_index":519,"to_index":701,"sum":32555,"residue":107},{"from_index":701,"to_index":883,"sum":30144,"residue":62},{"from_index":883,"to_index":1065,"sum":30865,"residue":107},{"from_index":1065,"to_index":155,"sum":28285,"residue":231}],"minimal_cycle":[276,231,107,62,107,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[155,337],"circle_positions":338,"cycle_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":[156,338,520,702,884,1066],"clock_positions":[156,338,520,702,884,1066],"native_values":[220,287,51,118,51,287],"rotation_degrees":51.42857142857143,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,287,51,118,51,287],"beta":{"interval_sums":[30685,30324,32713,30155,30854,28127],"interval_residues":[265,242,265,73,96,73],"display_cycle":[265,242,265,73,96,73],"intervals":[{"from_index":156,"to_index":338,"sum":30685,"residue":265},{"from_index":338,"to_index":520,"sum":30324,"residue":242},{"from_index":520,"to_index":702,"sum":32713,"residue":265},{"from_index":702,"to_index":884,"sum":30155,"residue":73},{"from_index":884,"to_index":1066,"sum":30854,"residue":96},{"from_index":1066,"to_index":156,"sum":28127,"residue":73}],"minimal_cycle":[265,242,265,73,96,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":265,"start_interval_clock_positions":[156,338],"circle_positions":338,"cycle_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":[157,339,521,703,885,1067],"clock_positions":[157,339,521,703,885,1067],"native_values":[11,158,11,327,180,327],"rotation_degrees":51.75824175824176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,158,11,327,180,327],"beta":{"interval_sums":[30961,30217,32820,29879,30961,28020],"interval_residues":[203,135,34,135,203,304],"display_cycle":[203,135,34,135,203,304],"intervals":[{"from_index":157,"to_index":339,"sum":30961,"residue":203},{"from_index":339,"to_index":521,"sum":30217,"residue":135},{"from_index":521,"to_index":703,"sum":32820,"residue":34},{"from_index":703,"to_index":885,"sum":29879,"residue":135},{"from_index":885,"to_index":1067,"sum":30961,"residue":203},{"from_index":1067,"to_index":157,"sum":28020,"residue":304}],"minimal_cycle":[203,135,34,135,203,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":203,"start_interval_clock_positions":[157,339],"circle_positions":338,"cycle_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":[158,340,522,704,886,1068],"clock_positions":[158,340,522,704,886,1068],"native_values":[231,107,62,107,231,276],"rotation_degrees":52.08791208791209,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,107,62,107,231,276],"beta":{"interval_sums":[30888,30121,33085,29952,31057,27755],"interval_residues":[130,39,299,208,299,39],"display_cycle":[130,39,299,208,299,39],"intervals":[{"from_index":158,"to_index":340,"sum":30888,"residue":130},{"from_index":340,"to_index":522,"sum":30121,"residue":39},{"from_index":522,"to_index":704,"sum":33085,"residue":299},{"from_index":704,"to_index":886,"sum":29952,"residue":208},{"from_index":886,"to_index":1068,"sum":31057,"residue":299},{"from_index":1068,"to_index":158,"sum":27755,"residue":39}],"minimal_cycle":[130,39,299,208,299,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[158,340],"circle_positions":338,"cycle_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":[159,341,523,705,887,1069],"clock_positions":[159,341,523,705,887,1069],"native_values":[242,265,73,96,73,265],"rotation_degrees":52.417582417582416,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[242,265,73,96,73,265],"beta":{"interval_sums":[30753,29918,33119,30087,31260,27721],"interval_residues":[333,174,333,5,164,5],"display_cycle":[333,174,333,5,164,5],"intervals":[{"from_index":159,"to_index":341,"sum":30753,"residue":333},{"from_index":341,"to_index":523,"sum":29918,"residue":174},{"from_index":523,"to_index":705,"sum":33119,"residue":333},{"from_index":705,"to_index":887,"sum":30087,"residue":5},{"from_index":887,"to_index":1069,"sum":31260,"residue":164},{"from_index":1069,"to_index":159,"sum":27721,"residue":5}],"minimal_cycle":[333,174,333,5,164,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[159,341],"circle_positions":338,"cycle_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":[160,342,524,706,888,1070],"clock_positions":[160,342,524,706,888,1070],"native_values":[135,34,135,203,304,203],"rotation_degrees":52.747252747252745,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,34,135,203,304,203],"beta":{"interval_sums":[30883,29957,33080,29957,31221,27760],"interval_residues":[125,213,294,213,125,44],"display_cycle":[125,213,294,213,125,44],"intervals":[{"from_index":160,"to_index":342,"sum":30883,"residue":125},{"from_index":342,"to_index":524,"sum":29957,"residue":213},{"from_index":524,"to_index":706,"sum":33080,"residue":294},{"from_index":706,"to_index":888,"sum":29957,"residue":213},{"from_index":888,"to_index":1070,"sum":31221,"residue":125},{"from_index":1070,"to_index":160,"sum":27760,"residue":44}],"minimal_cycle":[125,213,294,213,125,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":125,"start_interval_clock_positions":[160,342],"circle_positions":338,"cycle_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":[161,343,525,707,889,1071],"clock_positions":[161,343,525,707,889,1071],"native_values":[39,299,208,299,39,130],"rotation_degrees":53.07692307692308,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,299,208,299,39,130],"beta":{"interval_sums":[30878,29793,33075,29962,31385,27765],"interval_residues":[120,49,289,218,289,49],"display_cycle":[120,49,289,218,289,49],"intervals":[{"from_index":161,"to_index":343,"sum":30878,"residue":120},{"from_index":343,"to_index":525,"sum":29793,"residue":49},{"from_index":525,"to_index":707,"sum":33075,"residue":289},{"from_index":707,"to_index":889,"sum":29962,"residue":218},{"from_index":889,"to_index":1071,"sum":31385,"residue":289},{"from_index":1071,"to_index":161,"sum":27765,"residue":49}],"minimal_cycle":[120,49,289,218,289,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[161,343],"circle_positions":338,"cycle_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":[162,344,526,708,890,1072],"clock_positions":[162,344,526,708,890,1072],"native_values":[174,333,5,164,5,333],"rotation_degrees":53.40659340659341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[174,333,5,164,5,333],"beta":{"interval_sums":[31003,29668,33369,29837,31510,27471],"interval_residues":[245,262,245,93,76,93],"display_cycle":[245,262,245,93,76,93],"intervals":[{"from_index":162,"to_index":344,"sum":31003,"residue":245},{"from_index":344,"to_index":526,"sum":29668,"residue":262},{"from_index":526,"to_index":708,"sum":33369,"residue":245},{"from_index":708,"to_index":890,"sum":29837,"residue":93},{"from_index":890,"to_index":1072,"sum":31510,"residue":76},{"from_index":1072,"to_index":162,"sum":27471,"residue":93}],"minimal_cycle":[245,262,245,93,76,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[162,344],"circle_positions":338,"cycle_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":[163,345,527,709,891,1073],"clock_positions":[163,345,527,709,891,1073],"native_values":[213,294,213,125,44,125],"rotation_degrees":53.73626373626374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,294,213,125,44,125],"beta":{"interval_sums":[31123,29379,33320,29717,31799,27520],"interval_residues":[27,311,196,311,27,142],"display_cycle":[27,311,196,311,27,142],"intervals":[{"from_index":163,"to_index":345,"sum":31123,"residue":27},{"from_index":345,"to_index":527,"sum":29379,"residue":311},{"from_index":527,"to_index":709,"sum":33320,"residue":196},{"from_index":709,"to_index":891,"sum":29717,"residue":311},{"from_index":891,"to_index":1073,"sum":31799,"residue":27},{"from_index":1073,"to_index":163,"sum":27520,"residue":142}],"minimal_cycle":[27,311,196,311,27,142],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":27,"start_interval_clock_positions":[163,345],"circle_positions":338,"cycle_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":[164,346,528,710,892,1074],"clock_positions":[164,346,528,710,892,1074],"native_values":[49,289,218,289,49,120],"rotation_degrees":54.065934065934066,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,289,218,289,49,120],"beta":{"interval_sums":[31368,29303,33227,29472,31875,27613],"interval_residues":[272,235,103,66,103,235],"display_cycle":[272,235,103,66,103,235],"intervals":[{"from_index":164,"to_index":346,"sum":31368,"residue":272},{"from_index":346,"to_index":528,"sum":29303,"residue":235},{"from_index":528,"to_index":710,"sum":33227,"residue":103},{"from_index":710,"to_index":892,"sum":29472,"residue":66},{"from_index":892,"to_index":1074,"sum":31875,"residue":103},{"from_index":1074,"to_index":164,"sum":27613,"residue":235}],"minimal_cycle":[272,235,103,66,103,235],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":272,"start_interval_clock_positions":[164,346],"circle_positions":338,"cycle_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":[165,347,529,711,893,1075],"clock_positions":[165,347,529,711,893,1075],"native_values":[262,245,93,76,93,245],"rotation_degrees":54.395604395604394,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,245,93,76,93,245],"beta":{"interval_sums":[31395,29276,33423,29445,31902,27417],"interval_residues":[299,208,299,39,130,39],"display_cycle":[299,208,299,39,130,39],"intervals":[{"from_index":165,"to_index":347,"sum":31395,"residue":299},{"from_index":347,"to_index":529,"sum":29276,"residue":208},{"from_index":529,"to_index":711,"sum":33423,"residue":299},{"from_index":711,"to_index":893,"sum":29445,"residue":39},{"from_index":893,"to_index":1075,"sum":31902,"residue":130},{"from_index":1075,"to_index":165,"sum":27417,"residue":39}],"minimal_cycle":[299,208,299,39,130,39],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[165,347],"circle_positions":338,"cycle_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":[166,348,530,712,894,1076],"clock_positions":[166,348,530,712,894,1076],"native_values":[311,196,311,27,142,27],"rotation_degrees":54.72527472527472,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,196,311,27,142,27],"beta":{"interval_sums":[31329,29173,33188,29511,32005,27652],"interval_residues":[233,105,64,105,233,274],"display_cycle":[233,105,64,105,233,274],"intervals":[{"from_index":166,"to_index":348,"sum":31329,"residue":233},{"from_index":348,"to_index":530,"sum":29173,"residue":105},{"from_index":530,"to_index":712,"sum":33188,"residue":64},{"from_index":712,"to_index":894,"sum":29511,"residue":105},{"from_index":894,"to_index":1076,"sum":32005,"residue":233},{"from_index":1076,"to_index":166,"sum":27652,"residue":274}],"minimal_cycle":[233,105,64,105,233,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[166,348],"circle_positions":338,"cycle_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":[167,349,531,713,895,1077],"clock_positions":[167,349,531,713,895,1077],"native_values":[235,103,66,103,235,272],"rotation_degrees":55.05494505494506,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,103,66,103,235,272],"beta":{"interval_sums":[31290,29381,33149,29550,31797,27691],"interval_residues":[194,313,25,144,25,313],"display_cycle":[194,313,25,144,25,313],"intervals":[{"from_index":167,"to_index":349,"sum":31290,"residue":194},{"from_index":349,"to_index":531,"sum":29381,"residue":313},{"from_index":531,"to_index":713,"sum":33149,"residue":25},{"from_index":713,"to_index":895,"sum":29550,"residue":144},{"from_index":895,"to_index":1077,"sum":31797,"residue":25},{"from_index":1077,"to_index":167,"sum":27691,"residue":313}],"minimal_cycle":[194,313,25,144,25,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[167,349],"circle_positions":338,"cycle_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":[168,350,532,714,896,1078],"clock_positions":[168,350,532,714,896,1078],"native_values":[208,299,39,130,39,299],"rotation_degrees":55.38461538461539,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[208,299,39,130,39,299],"beta":{"interval_sums":[31185,29148,33213,29655,32030,27627],"interval_residues":[89,80,89,249,258,249],"display_cycle":[89,80,89,249,258,249],"intervals":[{"from_index":168,"to_index":350,"sum":31185,"residue":89},{"from_index":350,"to_index":532,"sum":29148,"residue":80},{"from_index":532,"to_index":714,"sum":33213,"residue":89},{"from_index":714,"to_index":896,"sum":29655,"residue":249},{"from_index":896,"to_index":1078,"sum":32030,"residue":258},{"from_index":1078,"to_index":168,"sum":27627,"residue":249}],"minimal_cycle":[89,80,89,249,258,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[168,350],"circle_positions":338,"cycle_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":[169,351,533,715,897,1079],"clock_positions":[169,351,533,715,897,1079],"native_values":[105,64,105,233,274,233],"rotation_degrees":55.714285714285715,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,64,105,233,274,233],"beta":{"interval_sums":[31379,29123,33238,29461,32055,27602],"interval_residues":[283,55,114,55,283,224],"display_cycle":[283,55,114,55,283,224],"intervals":[{"from_index":169,"to_index":351,"sum":31379,"residue":283},{"from_index":351,"to_index":533,"sum":29123,"residue":55},{"from_index":533,"to_index":715,"sum":33238,"residue":114},{"from_index":715,"to_index":897,"sum":29461,"residue":55},{"from_index":897,"to_index":1079,"sum":32055,"residue":283},{"from_index":1079,"to_index":169,"sum":27602,"residue":224}],"minimal_cycle":[283,55,114,55,283,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":283,"start_interval_clock_positions":[169,351],"circle_positions":338,"cycle_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":[170,352,534,716,898,1080],"clock_positions":[170,352,534,716,898,1080],"native_values":[313,25,144,25,313,194],"rotation_degrees":56.043956043956044,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,25,144,25,313,194],"beta":{"interval_sums":[31130,29203,33327,29710,31975,27513],"interval_residues":[34,135,203,304,203,135],"display_cycle":[34,135,203,304,203,135],"intervals":[{"from_index":170,"to_index":352,"sum":31130,"residue":34},{"from_index":352,"to_index":534,"sum":29203,"residue":135},{"from_index":534,"to_index":716,"sum":33327,"residue":203},{"from_index":716,"to_index":898,"sum":29710,"residue":304},{"from_index":898,"to_index":1080,"sum":31975,"residue":203},{"from_index":1080,"to_index":170,"sum":27513,"residue":135}],"minimal_cycle":[34,135,203,304,203,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[170,352],"circle_positions":338,"cycle_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":[171,353,535,717,899,1081],"clock_positions":[171,353,535,717,899,1081],"native_values":[80,89,249,258,249,89],"rotation_degrees":56.37362637362637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[80,89,249,258,249,89],"beta":{"interval_sums":[31075,29258,33103,29765,31920,27737],"interval_residues":[317,190,317,21,148,21],"display_cycle":[317,190,317,21,148,21],"intervals":[{"from_index":171,"to_index":353,"sum":31075,"residue":317},{"from_index":353,"to_index":535,"sum":29258,"residue":190},{"from_index":535,"to_index":717,"sum":33103,"residue":317},{"from_index":717,"to_index":899,"sum":29765,"residue":21},{"from_index":899,"to_index":1081,"sum":31920,"residue":148},{"from_index":1081,"to_index":171,"sum":27737,"residue":21}],"minimal_cycle":[317,190,317,21,148,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[171,353],"circle_positions":338,"cycle_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":[172,354,536,718,900,1082],"clock_positions":[172,354,536,718,900,1082],"native_values":[55,114,55,283,224,283],"rotation_degrees":56.7032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,114,55,283,224,283],"beta":{"interval_sums":[31109,29393,33306,29731,31785,27534],"interval_residues":[13,325,182,325,13,156],"display_cycle":[13,325,182,325,13,156],"intervals":[{"from_index":172,"to_index":354,"sum":31109,"residue":13},{"from_index":354,"to_index":536,"sum":29393,"residue":325},{"from_index":536,"to_index":718,"sum":33306,"residue":182},{"from_index":718,"to_index":900,"sum":29731,"residue":325},{"from_index":900,"to_index":1082,"sum":31785,"residue":13},{"from_index":1082,"to_index":172,"sum":27534,"residue":156}],"minimal_cycle":[13,325,182,325,13,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[172,354],"circle_positions":338,"cycle_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":[173,355,537,719,901,1083],"clock_positions":[173,355,537,719,901,1083],"native_values":[135,203,304,203,135,34],"rotation_degrees":57.032967032967036,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,203,304,203,135,34],"beta":{"interval_sums":[31088,29245,33285,29752,31933,27555],"interval_residues":[330,177,161,8,161,177],"display_cycle":[330,177,161,8,161,177],"intervals":[{"from_index":173,"to_index":355,"sum":31088,"residue":330},{"from_index":355,"to_index":537,"sum":29245,"residue":177},{"from_index":537,"to_index":719,"sum":33285,"residue":161},{"from_index":719,"to_index":901,"sum":29752,"residue":8},{"from_index":901,"to_index":1083,"sum":31933,"residue":161},{"from_index":1083,"to_index":173,"sum":27555,"residue":177}],"minimal_cycle":[330,177,161,8,161,177],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[173,355],"circle_positions":338,"cycle_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":[174,356,538,720,902,1084],"clock_positions":[174,356,538,720,902,1084],"native_values":[190,317,21,148,21,317],"rotation_degrees":57.362637362637365,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[190,317,21,148,21,317],"beta":{"interval_sums":[31101,29232,33467,29739,31946,27373],"interval_residues":[5,164,5,333,174,333],"display_cycle":[5,164,5,333,174,333],"intervals":[{"from_index":174,"to_index":356,"sum":31101,"residue":5},{"from_index":356,"to_index":538,"sum":29232,"residue":164},{"from_index":538,"to_index":720,"sum":33467,"residue":5},{"from_index":720,"to_index":902,"sum":29739,"residue":333},{"from_index":902,"to_index":1084,"sum":31946,"residue":174},{"from_index":1084,"to_index":174,"sum":27373,"residue":333}],"minimal_cycle":[5,164,5,333,174,333],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[174,356],"circle_positions":338,"cycle_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":[175,357,539,721,903,1085],"clock_positions":[175,357,539,721,903,1085],"native_values":[325,182,325,13,156,13],"rotation_degrees":57.69230769230769,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,182,325,13,156,13],"beta":{"interval_sums":[31093,29071,33290,29747,32107,27550],"interval_residues":[335,3,166,3,335,172],"display_cycle":[335,3,166,3,335,172],"intervals":[{"from_index":175,"to_index":357,"sum":31093,"residue":335},{"from_index":357,"to_index":539,"sum":29071,"residue":3},{"from_index":539,"to_index":721,"sum":33290,"residue":166},{"from_index":721,"to_index":903,"sum":29747,"residue":3},{"from_index":903,"to_index":1085,"sum":32107,"residue":335},{"from_index":1085,"to_index":175,"sum":27550,"residue":172}],"minimal_cycle":[335,3,166,3,335,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[175,357],"circle_positions":338,"cycle_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":[176,358,540,722,904,1086],"clock_positions":[176,358,540,722,904,1086],"native_values":[177,161,8,161,177,330],"rotation_degrees":58.02197802197802,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,161,8,161,177,330],"beta":{"interval_sums":[31098,29235,33295,29742,31943,27545],"interval_residues":[2,167,171,336,171,167],"display_cycle":[2,167,171,336,171,167],"intervals":[{"from_index":176,"to_index":358,"sum":31098,"residue":2},{"from_index":358,"to_index":540,"sum":29235,"residue":167},{"from_index":540,"to_index":722,"sum":33295,"residue":171},{"from_index":722,"to_index":904,"sum":29742,"residue":336},{"from_index":904,"to_index":1086,"sum":31943,"residue":171},{"from_index":1086,"to_index":176,"sum":27545,"residue":167}],"minimal_cycle":[2,167,171,336,171,167],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[176,358],"circle_positions":338,"cycle_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":[177,359,541,723,905,1087],"clock_positions":[177,359,541,723,905,1087],"native_values":[164,5,333,174,333,5],"rotation_degrees":58.35164835164835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[164,5,333,174,333,5],"beta":{"interval_sums":[31095,29238,33123,29745,31940,27717],"interval_residues":[337,170,337,1,168,1],"display_cycle":[337,170,337,1,168,1],"intervals":[{"from_index":177,"to_index":359,"sum":31095,"residue":337},{"from_index":359,"to_index":541,"sum":29238,"residue":170},{"from_index":541,"to_index":723,"sum":33123,"residue":337},{"from_index":723,"to_index":905,"sum":29745,"residue":1},{"from_index":905,"to_index":1087,"sum":31940,"residue":168},{"from_index":1087,"to_index":177,"sum":27717,"residue":1}],"minimal_cycle":[337,170,337,1,168,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[177,359],"circle_positions":338,"cycle_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":[178,360,542,724,906,1088],"clock_positions":[178,360,542,724,906,1088],"native_values":[3,166,3,335,172,335],"rotation_degrees":58.68131868131868,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,166,3,335,172,335],"beta":{"interval_sums":[31097,29405,33294,29743,31773,27546],"interval_residues":[1,337,170,337,1,168],"display_cycle":[1,337,170,337,1,168],"intervals":[{"from_index":178,"to_index":360,"sum":31097,"residue":1},{"from_index":360,"to_index":542,"sum":29405,"residue":337},{"from_index":542,"to_index":724,"sum":33294,"residue":170},{"from_index":724,"to_index":906,"sum":29743,"residue":337},{"from_index":906,"to_index":1088,"sum":31773,"residue":1},{"from_index":1088,"to_index":178,"sum":27546,"residue":168}],"minimal_cycle":[1,337,170,337,1,168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[178,360],"circle_positions":338,"cycle_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":[179,361,543,725,907,1089],"clock_positions":[179,361,543,725,907,1089],"native_values":[167,171,336,171,167,2],"rotation_degrees":59.010989010989015,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,171,336,171,167,2],"beta":{"interval_sums":[31096,29237,33293,29744,31941,27547],"interval_residues":[0,169,169,0,169,169],"display_cycle":[338,169,169,338,169,169],"intervals":[{"from_index":179,"to_index":361,"sum":31096,"residue":0},{"from_index":361,"to_index":543,"sum":29237,"residue":169},{"from_index":543,"to_index":725,"sum":33293,"residue":169},{"from_index":725,"to_index":907,"sum":29744,"residue":0},{"from_index":907,"to_index":1089,"sum":31941,"residue":169},{"from_index":1089,"to_index":179,"sum":27547,"residue":169}],"minimal_cycle":[0,169,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[179,361],"circle_positions":338,"cycle_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":[180,362,544,726,908,1090],"clock_positions":[180,362,544,726,908,1090],"native_values":[170,337,1,168,1,337],"rotation_degrees":59.34065934065934,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[170,337,1,168,1,337],"beta":{"interval_sums":[31097,29236,33463,29743,31942,27377],"interval_residues":[1,168,1,337,170,337],"display_cycle":[1,168,1,337,170,337],"intervals":[{"from_index":180,"to_index":362,"sum":31097,"residue":1},{"from_index":362,"to_index":544,"sum":29236,"residue":168},{"from_index":544,"to_index":726,"sum":33463,"residue":1},{"from_index":726,"to_index":908,"sum":29743,"residue":337},{"from_index":908,"to_index":1090,"sum":31942,"residue":170},{"from_index":1090,"to_index":180,"sum":27377,"residue":337}],"minimal_cycle":[1,168,1,337,170,337],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[180,362],"circle_positions":338,"cycle_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":[181,363,545,727,909,1091],"clock_positions":[181,363,545,727,909,1091],"native_values":[337,170,337,1,168,1],"rotation_degrees":59.67032967032967,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,170,337,1,168,1],"beta":{"interval_sums":[31097,29067,33294,29743,32111,27546],"interval_residues":[1,337,170,337,1,168],"display_cycle":[1,337,170,337,1,168],"intervals":[{"from_index":181,"to_index":363,"sum":31097,"residue":1},{"from_index":363,"to_index":545,"sum":29067,"residue":337},{"from_index":545,"to_index":727,"sum":33294,"residue":170},{"from_index":727,"to_index":909,"sum":29743,"residue":337},{"from_index":909,"to_index":1091,"sum":32111,"residue":1},{"from_index":1091,"to_index":181,"sum":27546,"residue":168}],"minimal_cycle":[1,337,170,337,1,168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[181,363],"circle_positions":338,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[{"formation_id":"6-nodes-offset-0","shape":"Hexagon","values":[338,169,169,338,169,169],"rotation_degrees":0.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-91","shape":"Hexagon","values":[169,338,169,169,338,169],"rotation_degrees":30.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"}],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,364,910,546,182,728,0],"clock_positions":[1092,364,910,546,182,728,1092],"native_values":[338,169,169,338,169,169,338],"reduced_m9_values":[9,7,7,9,7,7,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":182,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,182,364,546,728,910],"clock_positions":[1092,182,364,546,728,910],"native_values":[338,169,169,338,169,169],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1092,"value":338},{"alpha_index":182,"clock_position":182,"value":169},{"alpha_index":364,"clock_position":364,"value":169},{"alpha_index":546,"clock_position":546,"value":338},{"alpha_index":728,"clock_position":728,"value":169},{"alpha_index":910,"clock_position":910,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,183,365,547,729,911],"clock_positions":[1,183,365,547,729,911],"native_values":[1,168,1,337,170,337],"rotation_degrees":0.32967032967032966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":183,"clock_position":183,"value":168},{"alpha_index":365,"clock_position":365,"value":1},{"alpha_index":547,"clock_position":547,"value":337},{"alpha_index":729,"clock_position":729,"value":170},{"alpha_index":911,"clock_position":911,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,184,366,548,730,912],"clock_positions":[2,184,366,548,730,912],"native_values":[1,337,170,337,1,168],"rotation_degrees":0.6593406593406593,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":184,"clock_position":184,"value":337},{"alpha_index":366,"clock_position":366,"value":170},{"alpha_index":548,"clock_position":548,"value":337},{"alpha_index":730,"clock_position":730,"value":1},{"alpha_index":912,"clock_position":912,"value":168}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,185,367,549,731,913],"clock_positions":[3,185,367,549,731,913],"native_values":[2,167,171,336,171,167],"rotation_degrees":0.989010989010989,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":185,"clock_position":185,"value":167},{"alpha_index":367,"clock_position":367,"value":171},{"alpha_index":549,"clock_position":549,"value":336},{"alpha_index":731,"clock_position":731,"value":171},{"alpha_index":913,"clock_position":913,"value":167}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,186,368,550,732,914],"clock_positions":[4,186,368,550,732,914],"native_values":[3,166,3,335,172,335],"rotation_degrees":1.3186813186813187,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":166},{"alpha_index":550,"clock_position":550,"value":335},{"alpha_index":732,"clock_position":732,"value":172},{"alpha_index":914,"clock_position":914,"value":335}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,187,369,551,733,915],"clock_positions":[5,187,369,551,733,915],"native_values":[5,333,174,333,5,164],"rotation_degrees":1.6483516483516483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":187,"clock_position":187,"value":333},{"alpha_index":369,"clock_position":369,"value":174},{"alpha_index":551,"clock_position":551,"value":333},{"alpha_index":733,"clock_position":733,"value":5},{"alpha_index":915,"clock_position":915,"value":164}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,188,370,552,734,916],"clock_positions":[6,188,370,552,734,916],"native_values":[8,161,177,330,177,161],"rotation_degrees":1.978021978021978,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":188,"clock_position":188,"value":161},{"alpha_index":370,"clock_position":370,"value":177},{"alpha_index":552,"clock_position":552,"value":330},{"alpha_index":734,"clock_position":734,"value":177},{"alpha_index":916,"clock_position":916,"value":161}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,189,371,553,735,917],"clock_positions":[7,189,371,553,735,917],"native_values":[13,156,13,325,182,325],"rotation_degrees":2.3076923076923075,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":189,"clock_position":189,"value":156},{"alpha_index":371,"clock_position":371,"value":13},{"alpha_index":553,"clock_position":553,"value":325},{"alpha_index":735,"clock_position":735,"value":182},{"alpha_index":917,"clock_position":917,"value":325}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,190,372,554,736,918],"clock_positions":[8,190,372,554,736,918],"native_values":[21,317,190,317,21,148],"rotation_degrees":2.6373626373626373,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":190,"clock_position":190,"value":317},{"alpha_index":372,"clock_position":372,"value":190},{"alpha_index":554,"clock_position":554,"value":317},{"alpha_index":736,"clock_position":736,"value":21},{"alpha_index":918,"clock_position":918,"value":148}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,191,373,555,737,919],"clock_positions":[9,191,373,555,737,919],"native_values":[34,135,203,304,203,135],"rotation_degrees":2.967032967032967,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":191,"clock_position":191,"value":135},{"alpha_index":373,"clock_position":373,"value":203},{"alpha_index":555,"clock_position":555,"value":304},{"alpha_index":737,"clock_position":737,"value":203},{"alpha_index":919,"clock_position":919,"value":135}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,192,374,556,738,920],"clock_positions":[10,192,374,556,738,920],"native_values":[55,114,55,283,224,283],"rotation_degrees":3.2967032967032965,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":192,"clock_position":192,"value":114},{"alpha_index":374,"clock_position":374,"value":55},{"alpha_index":556,"clock_position":556,"value":283},{"alpha_index":738,"clock_position":738,"value":224},{"alpha_index":920,"clock_position":920,"value":283}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,193,375,557,739,921],"clock_positions":[11,193,375,557,739,921],"native_values":[89,249,258,249,89,80],"rotation_degrees":3.6263736263736264,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":193,"clock_position":193,"value":249},{"alpha_index":375,"clock_position":375,"value":258},{"alpha_index":557,"clock_position":557,"value":249},{"alpha_index":739,"clock_position":739,"value":89},{"alpha_index":921,"clock_position":921,"value":80}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,194,376,558,740,922],"clock_positions":[12,194,376,558,740,922],"native_values":[144,25,313,194,313,25],"rotation_degrees":3.956043956043956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":194,"clock_position":194,"value":25},{"alpha_index":376,"clock_position":376,"value":313},{"alpha_index":558,"clock_position":558,"value":194},{"alpha_index":740,"clock_position":740,"value":313},{"alpha_index":922,"clock_position":922,"value":25}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,195,377,559,741,923],"clock_positions":[13,195,377,559,741,923],"native_values":[233,274,233,105,64,105],"rotation_degrees":4.285714285714286,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":195,"clock_position":195,"value":274},{"alpha_index":377,"clock_position":377,"value":233},{"alpha_index":559,"clock_position":559,"value":105},{"alpha_index":741,"clock_position":741,"value":64},{"alpha_index":923,"clock_position":923,"value":105}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,196,378,560,742,924],"clock_positions":[14,196,378,560,742,924],"native_values":[39,299,208,299,39,130],"rotation_degrees":4.615384615384615,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":39},{"alpha_index":196,"clock_position":196,"value":299},{"alpha_index":378,"clock_position":378,"value":208},{"alpha_index":560,"clock_position":560,"value":299},{"alpha_index":742,"clock_position":742,"value":39},{"alpha_index":924,"clock_position":924,"value":130}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,197,379,561,743,925],"clock_positions":[15,197,379,561,743,925],"native_values":[272,235,103,66,103,235],"rotation_degrees":4.945054945054945,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":272},{"alpha_index":197,"clock_position":197,"value":235},{"alpha_index":379,"clock_position":379,"value":103},{"alpha_index":561,"clock_position":561,"value":66},{"alpha_index":743,"clock_position":743,"value":103},{"alpha_index":925,"clock_position":925,"value":235}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,198,380,562,744,926],"clock_positions":[16,198,380,562,744,926],"native_values":[311,196,311,27,142,27],"rotation_degrees":5.274725274725275,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":311},{"alpha_index":198,"clock_position":198,"value":196},{"alpha_index":380,"clock_position":380,"value":311},{"alpha_index":562,"clock_position":562,"value":27},{"alpha_index":744,"clock_position":744,"value":142},{"alpha_index":926,"clock_position":926,"value":27}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,199,381,563,745,927],"clock_positions":[17,199,381,563,745,927],"native_values":[245,93,76,93,245,262],"rotation_degrees":5.604395604395604,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":245},{"alpha_index":199,"clock_position":199,"value":93},{"alpha_index":381,"clock_position":381,"value":76},{"alpha_index":563,"clock_position":563,"value":93},{"alpha_index":745,"clock_position":745,"value":245},{"alpha_index":927,"clock_position":927,"value":262}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,200,382,564,746,928],"clock_positions":[18,200,382,564,746,928],"native_values":[218,289,49,120,49,289],"rotation_degrees":5.934065934065934,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":218},{"alpha_index":200,"clock_position":200,"value":289},{"alpha_index":382,"clock_position":382,"value":49},{"alpha_index":564,"clock_position":564,"value":120},{"alpha_index":746,"clock_position":746,"value":49},{"alpha_index":928,"clock_position":928,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,201,383,565,747,929],"clock_positions":[19,201,383,565,747,929],"native_values":[125,44,125,213,294,213],"rotation_degrees":6.263736263736264,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":125},{"alpha_index":201,"clock_position":201,"value":44},{"alpha_index":383,"clock_position":383,"value":125},{"alpha_index":565,"clock_position":565,"value":213},{"alpha_index":747,"clock_position":747,"value":294},{"alpha_index":929,"clock_position":929,"value":213}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,202,384,566,748,930],"clock_positions":[20,202,384,566,748,930],"native_values":[5,333,174,333,5,164],"rotation_degrees":6.593406593406593,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":5},{"alpha_index":202,"clock_position":202,"value":333},{"alpha_index":384,"clock_position":384,"value":174},{"alpha_index":566,"clock_position":566,"value":333},{"alpha_index":748,"clock_position":748,"value":5},{"alpha_index":930,"clock_position":930,"value":164}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,203,385,567,749,931],"clock_positions":[21,203,385,567,749,931],"native_values":[130,39,299,208,299,39],"rotation_degrees":6.923076923076923,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":130},{"alpha_index":203,"clock_position":203,"value":39},{"alpha_index":385,"clock_position":385,"value":299},{"alpha_index":567,"clock_position":567,"value":208},{"alpha_index":749,"clock_position":749,"value":299},{"alpha_index":931,"clock_position":931,"value":39}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,204,386,568,750,932],"clock_positions":[22,204,386,568,750,932],"native_values":[135,34,135,203,304,203],"rotation_degrees":7.252747252747253,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":135},{"alpha_index":204,"clock_position":204,"value":34},{"alpha_index":386,"clock_position":386,"value":135},{"alpha_index":568,"clock_position":568,"value":203},{"alpha_index":750,"clock_position":750,"value":304},{"alpha_index":932,"clock_position":932,"value":203}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,205,387,569,751,933],"clock_positions":[23,205,387,569,751,933],"native_values":[265,73,96,73,265,242],"rotation_degrees":7.582417582417582,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":265},{"alpha_index":205,"clock_position":205,"value":73},{"alpha_index":387,"clock_position":387,"value":96},{"alpha_index":569,"clock_position":569,"value":73},{"alpha_index":751,"clock_position":751,"value":265},{"alpha_index":933,"clock_position":933,"value":242}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,206,388,570,752,934],"clock_positions":[24,206,388,570,752,934],"native_values":[62,107,231,276,231,107],"rotation_degrees":7.912087912087912,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":62},{"alpha_index":206,"clock_position":206,"value":107},{"alpha_index":388,"clock_position":388,"value":231},{"alpha_index":570,"clock_position":570,"value":276},{"alpha_index":752,"clock_position":752,"value":231},{"alpha_index":934,"clock_position":934,"value":107}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,207,389,571,753,935],"clock_positions":[25,207,389,571,753,935],"native_values":[327,180,327,11,158,11],"rotation_degrees":8.241758241758241,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":327},{"alpha_index":207,"clock_position":207,"value":180},{"alpha_index":389,"clock_position":389,"value":327},{"alpha_index":571,"clock_position":571,"value":11},{"alpha_index":753,"clock_position":753,"value":158},{"alpha_index":935,"clock_position":935,"value":11}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,208,390,572,754,936],"clock_positions":[26,208,390,572,754,936],"native_values":[51,287,220,287,51,118],"rotation_degrees":8.571428571428571,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":51},{"alpha_index":208,"clock_position":208,"value":287},{"alpha_index":390,"clock_position":390,"value":220},{"alpha_index":572,"clock_position":572,"value":287},{"alpha_index":754,"clock_position":754,"value":51},{"alpha_index":936,"clock_position":936,"value":118}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,209,391,573,755,937],"clock_positions":[27,209,391,573,755,937],"native_values":[40,129,209,298,209,129],"rotation_degrees":8.901098901098901,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":40},{"alpha_index":209,"clock_position":209,"value":129},{"alpha_index":391,"clock_position":391,"value":209},{"alpha_index":573,"clock_position":573,"value":298},{"alpha_index":755,"clock_position":755,"value":209},{"alpha_index":937,"clock_position":937,"value":129}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,210,392,574,756,938],"clock_positions":[28,210,392,574,756,938],"native_values":[91,78,91,247,260,247],"rotation_degrees":9.23076923076923,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":91},{"alpha_index":210,"clock_position":210,"value":78},{"alpha_index":392,"clock_position":392,"value":91},{"alpha_index":574,"clock_position":574,"value":247},{"alpha_index":756,"clock_position":756,"value":260},{"alpha_index":938,"clock_position":938,"value":247}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,211,393,575,757,939],"clock_positions":[29,211,393,575,757,939],"native_values":[131,207,300,207,131,38],"rotation_degrees":9.56043956043956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":131},{"alpha_index":211,"clock_position":211,"value":207},{"alpha_index":393,"clock_position":393,"value":300},{"alpha_index":575,"clock_position":575,"value":207},{"alpha_index":757,"clock_position":757,"value":131},{"alpha_index":939,"clock_position":939,"value":38}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,212,394,576,758,940],"clock_positions":[30,212,394,576,758,940],"native_values":[222,285,53,116,53,285],"rotation_degrees":9.89010989010989,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":222},{"alpha_index":212,"clock_position":212,"value":285},{"alpha_index":394,"clock_position":394,"value":53},{"alpha_index":576,"clock_position":576,"value":116},{"alpha_index":758,"clock_position":758,"value":53},{"alpha_index":940,"clock_position":940,"value":285}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,213,395,577,759,941],"clock_positions":[31,213,395,577,759,941],"native_values":[15,154,15,323,184,323],"rotation_degrees":10.219780219780219,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":15},{"alpha_index":213,"clock_position":213,"value":154},{"alpha_index":395,"clock_position":395,"value":15},{"alpha_index":577,"clock_position":577,"value":323},{"alpha_index":759,"clock_position":759,"value":184},{"alpha_index":941,"clock_position":941,"value":323}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,214,396,578,760,942],"clock_positions":[32,214,396,578,760,942],"native_values":[237,101,68,101,237,270],"rotation_degrees":10.54945054945055,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":237},{"alpha_index":214,"clock_position":214,"value":101},{"alpha_index":396,"clock_position":396,"value":68},{"alpha_index":578,"clock_position":578,"value":101},{"alpha_index":760,"clock_position":760,"value":237},{"alpha_index":942,"clock_position":942,"value":270}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,215,397,579,761,943],"clock_positions":[33,215,397,579,761,943],"native_values":[252,255,83,86,83,255],"rotation_degrees":10.87912087912088,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":252},{"alpha_index":215,"clock_position":215,"value":255},{"alpha_index":397,"clock_position":397,"value":83},{"alpha_index":579,"clock_position":579,"value":86},{"alpha_index":761,"clock_position":761,"value":83},{"alpha_index":943,"clock_position":943,"value":255}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,216,398,580,762,944],"clock_positions":[34,216,398,580,762,944],"native_values":[151,18,151,187,320,187],"rotation_degrees":11.208791208791208,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":151},{"alpha_index":216,"clock_position":216,"value":18},{"alpha_index":398,"clock_position":398,"value":151},{"alpha_index":580,"clock_position":580,"value":187},{"alpha_index":762,"clock_position":762,"value":320},{"alpha_index":944,"clock_position":944,"value":187}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,217,399,581,763,945],"clock_positions":[35,217,399,581,763,945],"native_values":[65,273,234,273,65,104],"rotation_degrees":11.538461538461538,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":65},{"alpha_index":217,"clock_position":217,"value":273},{"alpha_index":399,"clock_position":399,"value":234},{"alpha_index":581,"clock_position":581,"value":273},{"alpha_index":763,"clock_position":763,"value":65},{"alpha_index":945,"clock_position":945,"value":104}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,218,400,582,764,946],"clock_positions":[36,218,400,582,764,946],"native_values":[216,291,47,122,47,291],"rotation_degrees":11.868131868131869,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":216},{"alpha_index":218,"clock_position":218,"value":291},{"alpha_index":400,"clock_position":400,"value":47},{"alpha_index":582,"clock_position":582,"value":122},{"alpha_index":764,"clock_position":764,"value":47},{"alpha_index":946,"clock_position":946,"value":291}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,219,401,583,765,947],"clock_positions":[37,219,401,583,765,947],"native_values":[281,226,281,57,112,57],"rotation_degrees":12.197802197802197,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":281},{"alpha_index":219,"clock_position":219,"value":226},{"alpha_index":401,"clock_position":401,"value":281},{"alpha_index":583,"clock_position":583,"value":57},{"alpha_index":765,"clock_position":765,"value":112},{"alpha_index":947,"clock_position":947,"value":57}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,220,402,584,766,948],"clock_positions":[38,220,402,584,766,948],"native_values":[159,179,328,179,159,10],"rotation_degrees":12.527472527472527,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":159},{"alpha_index":220,"clock_position":220,"value":179},{"alpha_index":402,"clock_position":402,"value":328},{"alpha_index":584,"clock_position":584,"value":179},{"alpha_index":766,"clock_position":766,"value":159},{"alpha_index":948,"clock_position":948,"value":10}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,221,403,585,767,949],"clock_positions":[39,221,403,585,767,949],"native_values":[102,67,271,236,271,67],"rotation_degrees":12.857142857142858,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":102},{"alpha_index":221,"clock_position":221,"value":67},{"alpha_index":403,"clock_position":403,"value":271},{"alpha_index":585,"clock_position":585,"value":236},{"alpha_index":767,"clock_position":767,"value":271},{"alpha_index":949,"clock_position":949,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,222,404,586,768,950],"clock_positions":[40,222,404,586,768,950],"native_values":[261,246,261,77,92,77],"rotation_degrees":13.186813186813186,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":261},{"alpha_index":222,"clock_position":222,"value":246},{"alpha_index":404,"clock_position":404,"value":261},{"alpha_index":586,"clock_position":586,"value":77},{"alpha_index":768,"clock_position":768,"value":92},{"alpha_index":950,"clock_position":950,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,223,405,587,769,951],"clock_positions":[41,223,405,587,769,951],"native_values":[25,313,194,313,25,144],"rotation_degrees":13.516483516483516,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":25},{"alpha_index":223,"clock_position":223,"value":313},{"alpha_index":405,"clock_position":405,"value":194},{"alpha_index":587,"clock_position":587,"value":313},{"alpha_index":769,"clock_position":769,"value":25},{"alpha_index":951,"clock_position":951,"value":144}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,224,406,588,770,952],"clock_positions":[42,224,406,588,770,952],"native_values":[286,221,117,52,117,221],"rotation_degrees":13.846153846153847,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":286},{"alpha_index":224,"clock_position":224,"value":221},{"alpha_index":406,"clock_position":406,"value":117},{"alpha_index":588,"clock_position":588,"value":52},{"alpha_index":770,"clock_position":770,"value":117},{"alpha_index":952,"clock_position":952,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,225,407,589,771,953],"clock_positions":[43,225,407,589,771,953],"native_values":[311,196,311,27,142,27],"rotation_degrees":14.175824175824175,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":311},{"alpha_index":225,"clock_position":225,"value":196},{"alpha_index":407,"clock_position":407,"value":311},{"alpha_index":589,"clock_position":589,"value":27},{"alpha_index":771,"clock_position":771,"value":142},{"alpha_index":953,"clock_position":953,"value":27}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,226,408,590,772,954],"clock_positions":[44,226,408,590,772,954],"native_values":[259,79,90,79,259,248],"rotation_degrees":14.505494505494505,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":259},{"alpha_index":226,"clock_position":226,"value":79},{"alpha_index":408,"clock_position":408,"value":90},{"alpha_index":590,"clock_position":590,"value":79},{"alpha_index":772,"clock_position":772,"value":259},{"alpha_index":954,"clock_position":954,"value":248}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,227,409,591,773,955],"clock_positions":[45,227,409,591,773,955],"native_values":[232,275,63,106,63,275],"rotation_degrees":14.835164835164836,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":232},{"alpha_index":227,"clock_position":227,"value":275},{"alpha_index":409,"clock_position":409,"value":63},{"alpha_index":591,"clock_position":591,"value":106},{"alpha_index":773,"clock_position":773,"value":63},{"alpha_index":955,"clock_position":955,"value":275}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,228,410,592,774,956],"clock_positions":[46,228,410,592,774,956],"native_values":[153,16,153,185,322,185],"rotation_degrees":15.164835164835164,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":153},{"alpha_index":228,"clock_position":228,"value":16},{"alpha_index":410,"clock_position":410,"value":153},{"alpha_index":592,"clock_position":592,"value":185},{"alpha_index":774,"clock_position":774,"value":322},{"alpha_index":956,"clock_position":956,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,229,411,593,775,957],"clock_positions":[47,229,411,593,775,957],"native_values":[47,291,216,291,47,122],"rotation_degrees":15.494505494505495,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":47},{"alpha_index":229,"clock_position":229,"value":291},{"alpha_index":411,"clock_position":411,"value":216},{"alpha_index":593,"clock_position":593,"value":291},{"alpha_index":775,"clock_position":775,"value":47},{"alpha_index":957,"clock_position":957,"value":122}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,230,412,594,776,958],"clock_positions":[48,230,412,594,776,958],"native_values":[200,307,31,138,31,307],"rotation_degrees":15.824175824175825,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":200},{"alpha_index":230,"clock_position":230,"value":307},{"alpha_index":412,"clock_position":412,"value":31},{"alpha_index":594,"clock_position":594,"value":138},{"alpha_index":776,"clock_position":776,"value":31},{"alpha_index":958,"clock_position":958,"value":307}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,231,413,595,777,959],"clock_positions":[49,231,413,595,777,959],"native_values":[247,260,247,91,78,91],"rotation_degrees":16.153846153846153,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":247},{"alpha_index":231,"clock_position":231,"value":260},{"alpha_index":413,"clock_position":413,"value":247},{"alpha_index":595,"clock_position":595,"value":91},{"alpha_index":777,"clock_position":777,"value":78},{"alpha_index":959,"clock_position":959,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,232,414,596,778,960],"clock_positions":[50,232,414,596,778,960],"native_values":[109,229,278,229,109,60],"rotation_degrees":16.483516483516482,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":109},{"alpha_index":232,"clock_position":232,"value":229},{"alpha_index":414,"clock_position":414,"value":278},{"alpha_index":596,"clock_position":596,"value":229},{"alpha_index":778,"clock_position":778,"value":109},{"alpha_index":960,"clock_position":960,"value":60}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,233,415,597,779,961],"clock_positions":[51,233,415,597,779,961],"native_values":[18,151,187,320,187,151],"rotation_degrees":16.813186813186814,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":18},{"alpha_index":233,"clock_position":233,"value":151},{"alpha_index":415,"clock_position":415,"value":187},{"alpha_index":597,"clock_position":597,"value":320},{"alpha_index":779,"clock_position":779,"value":187},{"alpha_index":961,"clock_position":961,"value":151}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,234,416,598,780,962],"clock_positions":[52,234,416,598,780,962],"native_values":[127,42,127,211,296,211],"rotation_degrees":17.142857142857142,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":127},{"alpha_index":234,"clock_position":234,"value":42},{"alpha_index":416,"clock_position":416,"value":127},{"alpha_index":598,"clock_position":598,"value":211},{"alpha_index":780,"clock_position":780,"value":296},{"alpha_index":962,"clock_position":962,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,235,417,599,781,963],"clock_positions":[53,235,417,599,781,963],"native_values":[145,193,314,193,145,24],"rotation_degrees":17.47252747252747,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":145},{"alpha_index":235,"clock_position":235,"value":193},{"alpha_index":417,"clock_position":417,"value":314},{"alpha_index":599,"clock_position":599,"value":193},{"alpha_index":781,"clock_position":781,"value":145},{"alpha_index":963,"clock_position":963,"value":24}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,236,418,600,782,964],"clock_positions":[54,236,418,600,782,964],"native_values":[272,235,103,66,103,235],"rotation_degrees":17.802197802197803,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":272},{"alpha_index":236,"clock_position":236,"value":235},{"alpha_index":418,"clock_position":418,"value":103},{"alpha_index":600,"clock_position":600,"value":66},{"alpha_index":782,"clock_position":782,"value":103},{"alpha_index":964,"clock_position":964,"value":235}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,237,419,601,783,965],"clock_positions":[55,237,419,601,783,965],"native_values":[79,90,79,259,248,259],"rotation_degrees":18.13186813186813,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":79},{"alpha_index":237,"clock_position":237,"value":90},{"alpha_index":419,"clock_position":419,"value":79},{"alpha_index":601,"clock_position":601,"value":259},{"alpha_index":783,"clock_position":783,"value":248},{"alpha_index":965,"clock_position":965,"value":259}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,238,420,602,784,966],"clock_positions":[56,238,420,602,784,966],"native_values":[13,325,182,325,13,156],"rotation_degrees":18.46153846153846,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":13},{"alpha_index":238,"clock_position":238,"value":325},{"alpha_index":420,"clock_position":420,"value":182},{"alpha_index":602,"clock_position":602,"value":325},{"alpha_index":784,"clock_position":784,"value":13},{"alpha_index":966,"clock_position":966,"value":156}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,239,421,603,785,967],"clock_positions":[57,239,421,603,785,967],"native_values":[92,77,261,246,261,77],"rotation_degrees":18.791208791208792,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":92},{"alpha_index":239,"clock_position":239,"value":77},{"alpha_index":421,"clock_position":421,"value":261},{"alpha_index":603,"clock_position":603,"value":246},{"alpha_index":785,"clock_position":785,"value":261},{"alpha_index":967,"clock_position":967,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,240,422,604,786,968],"clock_positions":[58,240,422,604,786,968],"native_values":[105,64,105,233,274,233],"rotation_degrees":19.12087912087912,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":105},{"alpha_index":240,"clock_position":240,"value":64},{"alpha_index":422,"clock_position":422,"value":105},{"alpha_index":604,"clock_position":604,"value":233},{"alpha_index":786,"clock_position":786,"value":274},{"alpha_index":968,"clock_position":968,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,241,423,605,787,969],"clock_positions":[59,241,423,605,787,969],"native_values":[197,141,28,141,197,310],"rotation_degrees":19.45054945054945,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":197},{"alpha_index":241,"clock_position":241,"value":141},{"alpha_index":423,"clock_position":423,"value":28},{"alpha_index":605,"clock_position":605,"value":141},{"alpha_index":787,"clock_position":787,"value":197},{"alpha_index":969,"clock_position":969,"value":310}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,242,424,606,788,970],"clock_positions":[60,242,424,606,788,970],"native_values":[302,205,133,36,133,205],"rotation_degrees":19.78021978021978,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":302},{"alpha_index":242,"clock_position":242,"value":205},{"alpha_index":424,"clock_position":424,"value":133},{"alpha_index":606,"clock_position":606,"value":36},{"alpha_index":788,"clock_position":788,"value":133},{"alpha_index":970,"clock_position":970,"value":205}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,243,425,607,789,971],"clock_positions":[61,243,425,607,789,971],"native_values":[161,8,161,177,330,177],"rotation_degrees":20.10989010989011,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":161},{"alpha_index":243,"clock_position":243,"value":8},{"alpha_index":425,"clock_position":425,"value":161},{"alpha_index":607,"clock_position":607,"value":177},{"alpha_index":789,"clock_position":789,"value":330},{"alpha_index":971,"clock_position":971,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,244,426,608,790,972],"clock_positions":[62,244,426,608,790,972],"native_values":[125,213,294,213,125,44],"rotation_degrees":20.439560439560438,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":125},{"alpha_index":244,"clock_position":244,"value":213},{"alpha_index":426,"clock_position":426,"value":294},{"alpha_index":608,"clock_position":608,"value":213},{"alpha_index":790,"clock_position":790,"value":125},{"alpha_index":972,"clock_position":972,"value":44}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,245,427,609,791,973],"clock_positions":[63,245,427,609,791,973],"native_values":[286,221,117,52,117,221],"rotation_degrees":20.76923076923077,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":286},{"alpha_index":245,"clock_position":245,"value":221},{"alpha_index":427,"clock_position":427,"value":117},{"alpha_index":609,"clock_position":609,"value":52},{"alpha_index":791,"clock_position":791,"value":117},{"alpha_index":973,"clock_position":973,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,246,428,610,792,974],"clock_positions":[64,246,428,610,792,974],"native_values":[73,96,73,265,242,265],"rotation_degrees":21.0989010989011,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":73},{"alpha_index":246,"clock_position":246,"value":96},{"alpha_index":428,"clock_position":428,"value":73},{"alpha_index":610,"clock_position":610,"value":265},{"alpha_index":792,"clock_position":792,"value":242},{"alpha_index":974,"clock_position":974,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,247,429,611,793,975],"clock_positions":[65,247,429,611,793,975],"native_values":[21,317,190,317,21,148],"rotation_degrees":21.428571428571427,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":21},{"alpha_index":247,"clock_position":247,"value":317},{"alpha_index":429,"clock_position":429,"value":190},{"alpha_index":611,"clock_position":611,"value":317},{"alpha_index":793,"clock_position":793,"value":21},{"alpha_index":975,"clock_position":975,"value":148}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,248,430,612,794,976],"clock_positions":[66,248,430,612,794,976],"native_values":[94,75,263,244,263,75],"rotation_degrees":21.75824175824176,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":94},{"alpha_index":248,"clock_position":248,"value":75},{"alpha_index":430,"clock_position":430,"value":263},{"alpha_index":612,"clock_position":612,"value":244},{"alpha_index":794,"clock_position":794,"value":263},{"alpha_index":976,"clock_position":976,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,249,431,613,795,977],"clock_positions":[67,249,431,613,795,977],"native_values":[115,54,115,223,284,223],"rotation_degrees":22.087912087912088,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":115},{"alpha_index":249,"clock_position":249,"value":54},{"alpha_index":431,"clock_position":431,"value":115},{"alpha_index":613,"clock_position":613,"value":223},{"alpha_index":795,"clock_position":795,"value":284},{"alpha_index":977,"clock_position":977,"value":223}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,250,432,614,796,978],"clock_positions":[68,250,432,614,796,978],"native_values":[209,129,40,129,209,298],"rotation_degrees":22.417582417582416,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":209},{"alpha_index":250,"clock_position":250,"value":129},{"alpha_index":432,"clock_position":432,"value":40},{"alpha_index":614,"clock_position":614,"value":129},{"alpha_index":796,"clock_position":796,"value":209},{"alpha_index":978,"clock_position":978,"value":298}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,251,433,615,797,979],"clock_positions":[69,251,433,615,797,979],"native_values":[324,183,155,14,155,183],"rotation_degrees":22.747252747252748,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":324},{"alpha_index":251,"clock_position":251,"value":183},{"alpha_index":433,"clock_position":433,"value":155},{"alpha_index":615,"clock_position":615,"value":14},{"alpha_index":797,"clock_position":797,"value":155},{"alpha_index":979,"clock_position":979,"value":183}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,252,434,616,798,980],"clock_positions":[70,252,434,616,798,980],"native_values":[195,312,195,143,26,143],"rotation_degrees":23.076923076923077,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":195},{"alpha_index":252,"clock_position":252,"value":312},{"alpha_index":434,"clock_position":434,"value":195},{"alpha_index":616,"clock_position":616,"value":143},{"alpha_index":798,"clock_position":798,"value":26},{"alpha_index":980,"clock_position":980,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,253,435,617,799,981],"clock_positions":[71,253,435,617,799,981],"native_values":[181,157,12,157,181,326],"rotation_degrees":23.406593406593405,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":181},{"alpha_index":253,"clock_position":253,"value":157},{"alpha_index":435,"clock_position":435,"value":12},{"alpha_index":617,"clock_position":617,"value":157},{"alpha_index":799,"clock_position":799,"value":181},{"alpha_index":981,"clock_position":981,"value":326}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,254,436,618,800,982],"clock_positions":[72,254,436,618,800,982],"native_values":[38,131,207,300,207,131],"rotation_degrees":23.736263736263737,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":38},{"alpha_index":254,"clock_position":254,"value":131},{"alpha_index":436,"clock_position":436,"value":207},{"alpha_index":618,"clock_position":618,"value":300},{"alpha_index":800,"clock_position":800,"value":207},{"alpha_index":982,"clock_position":982,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,255,437,619,801,983],"clock_positions":[73,255,437,619,801,983],"native_values":[219,288,219,119,50,119],"rotation_degrees":24.065934065934066,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":219},{"alpha_index":255,"clock_position":255,"value":288},{"alpha_index":437,"clock_position":437,"value":219},{"alpha_index":619,"clock_position":619,"value":119},{"alpha_index":801,"clock_position":801,"value":50},{"alpha_index":983,"clock_position":983,"value":119}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,256,438,620,802,984],"clock_positions":[74,256,438,620,802,984],"native_values":[257,81,88,81,257,250],"rotation_degrees":24.395604395604394,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":257},{"alpha_index":256,"clock_position":256,"value":81},{"alpha_index":438,"clock_position":438,"value":88},{"alpha_index":620,"clock_position":620,"value":81},{"alpha_index":802,"clock_position":802,"value":257},{"alpha_index":984,"clock_position":984,"value":250}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,257,439,621,803,985],"clock_positions":[75,257,439,621,803,985],"native_values":[138,31,307,200,307,31],"rotation_degrees":24.725274725274726,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":138},{"alpha_index":257,"clock_position":257,"value":31},{"alpha_index":439,"clock_position":439,"value":307},{"alpha_index":621,"clock_position":621,"value":200},{"alpha_index":803,"clock_position":803,"value":307},{"alpha_index":985,"clock_position":985,"value":31}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,258,440,622,804,986],"clock_positions":[76,258,440,622,804,986],"native_values":[57,112,57,281,226,281],"rotation_degrees":25.054945054945055,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":57},{"alpha_index":258,"clock_position":258,"value":112},{"alpha_index":440,"clock_position":440,"value":57},{"alpha_index":622,"clock_position":622,"value":281},{"alpha_index":804,"clock_position":804,"value":226},{"alpha_index":986,"clock_position":986,"value":281}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,259,441,623,805,987],"clock_positions":[77,259,441,623,805,987],"native_values":[195,143,26,143,195,312],"rotation_degrees":25.384615384615383,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":195},{"alpha_index":259,"clock_position":259,"value":143},{"alpha_index":441,"clock_position":441,"value":26},{"alpha_index":623,"clock_position":623,"value":143},{"alpha_index":805,"clock_position":805,"value":195},{"alpha_index":987,"clock_position":987,"value":312}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,260,442,624,806,988],"clock_positions":[78,260,442,624,806,988],"native_values":[252,255,83,86,83,255],"rotation_degrees":25.714285714285715,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":252},{"alpha_index":260,"clock_position":260,"value":255},{"alpha_index":442,"clock_position":442,"value":83},{"alpha_index":624,"clock_position":624,"value":86},{"alpha_index":806,"clock_position":806,"value":83},{"alpha_index":988,"clock_position":988,"value":255}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,261,443,625,807,989],"clock_positions":[79,261,443,625,807,989],"native_values":[109,60,109,229,278,229],"rotation_degrees":26.043956043956044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":109},{"alpha_index":261,"clock_position":261,"value":60},{"alpha_index":443,"clock_position":443,"value":109},{"alpha_index":625,"clock_position":625,"value":229},{"alpha_index":807,"clock_position":807,"value":278},{"alpha_index":989,"clock_position":989,"value":229}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,262,444,626,808,990],"clock_positions":[80,262,444,626,808,990],"native_values":[23,315,192,315,23,146],"rotation_degrees":26.373626373626372,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":23},{"alpha_index":262,"clock_position":262,"value":315},{"alpha_index":444,"clock_position":444,"value":192},{"alpha_index":626,"clock_position":626,"value":315},{"alpha_index":808,"clock_position":808,"value":23},{"alpha_index":990,"clock_position":990,"value":146}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,263,445,627,809,991],"clock_positions":[81,263,445,627,809,991],"native_values":[132,37,301,206,301,37],"rotation_degrees":26.703296703296704,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":132},{"alpha_index":263,"clock_position":263,"value":37},{"alpha_index":445,"clock_position":445,"value":301},{"alpha_index":627,"clock_position":627,"value":206},{"alpha_index":809,"clock_position":809,"value":301},{"alpha_index":991,"clock_position":991,"value":37}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,264,446,628,810,992],"clock_positions":[82,264,446,628,810,992],"native_values":[155,14,155,183,324,183],"rotation_degrees":27.032967032967033,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":155},{"alpha_index":264,"clock_position":264,"value":14},{"alpha_index":446,"clock_position":446,"value":155},{"alpha_index":628,"clock_position":628,"value":183},{"alpha_index":810,"clock_position":810,"value":324},{"alpha_index":992,"clock_position":992,"value":183}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,265,447,629,811,993],"clock_positions":[83,265,447,629,811,993],"native_values":[287,51,118,51,287,220],"rotation_degrees":27.36263736263736,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":287},{"alpha_index":265,"clock_position":265,"value":51},{"alpha_index":447,"clock_position":447,"value":118},{"alpha_index":629,"clock_position":629,"value":51},{"alpha_index":811,"clock_position":811,"value":287},{"alpha_index":993,"clock_position":993,"value":220}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,266,448,630,812,994],"clock_positions":[84,266,448,630,812,994],"native_values":[104,65,273,234,273,65],"rotation_degrees":27.692307692307693,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":104},{"alpha_index":266,"clock_position":266,"value":65},{"alpha_index":448,"clock_position":448,"value":273},{"alpha_index":630,"clock_position":630,"value":234},{"alpha_index":812,"clock_position":812,"value":273},{"alpha_index":994,"clock_position":994,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,267,449,631,813,995],"clock_positions":[85,267,449,631,813,995],"native_values":[53,116,53,285,222,285],"rotation_degrees":28.021978021978022,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":53},{"alpha_index":267,"clock_position":267,"value":116},{"alpha_index":449,"clock_position":449,"value":53},{"alpha_index":631,"clock_position":631,"value":285},{"alpha_index":813,"clock_position":813,"value":222},{"alpha_index":995,"clock_position":995,"value":285}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,268,450,632,814,996],"clock_positions":[86,268,450,632,814,996],"native_values":[157,181,326,181,157,12],"rotation_degrees":28.35164835164835,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":157},{"alpha_index":268,"clock_position":268,"value":181},{"alpha_index":450,"clock_position":450,"value":326},{"alpha_index":632,"clock_position":632,"value":181},{"alpha_index":814,"clock_position":814,"value":157},{"alpha_index":996,"clock_position":996,"value":12}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,269,451,633,815,997],"clock_positions":[87,269,451,633,815,997],"native_values":[210,297,41,128,41,297],"rotation_degrees":28.681318681318682,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":210},{"alpha_index":269,"clock_position":269,"value":297},{"alpha_index":451,"clock_position":451,"value":41},{"alpha_index":633,"clock_position":633,"value":128},{"alpha_index":815,"clock_position":815,"value":41},{"alpha_index":997,"clock_position":997,"value":297}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,270,452,634,816,998],"clock_positions":[88,270,452,634,816,998],"native_values":[29,140,29,309,198,309],"rotation_degrees":29.01098901098901,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":29},{"alpha_index":270,"clock_position":270,"value":140},{"alpha_index":452,"clock_position":452,"value":29},{"alpha_index":634,"clock_position":634,"value":309},{"alpha_index":816,"clock_position":816,"value":198},{"alpha_index":998,"clock_position":998,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,271,453,635,817,999],"clock_positions":[89,271,453,635,817,999],"native_values":[239,99,70,99,239,268],"rotation_degrees":29.34065934065934,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":239},{"alpha_index":271,"clock_position":271,"value":99},{"alpha_index":453,"clock_position":453,"value":70},{"alpha_index":635,"clock_position":635,"value":99},{"alpha_index":817,"clock_position":817,"value":239},{"alpha_index":999,"clock_position":999,"value":268}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,272,454,636,818,1000],"clock_positions":[90,272,454,636,818,1000],"native_values":[268,239,99,70,99,239],"rotation_degrees":29.67032967032967,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":268},{"alpha_index":272,"clock_position":272,"value":239},{"alpha_index":454,"clock_position":454,"value":99},{"alpha_index":636,"clock_position":636,"value":70},{"alpha_index":818,"clock_position":818,"value":99},{"alpha_index":1000,"clock_position":1000,"value":239}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,273,455,637,819,1001],"clock_positions":[91,273,455,637,819,1001],"native_values":[169,338,169,169,338,169],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":169},{"alpha_index":273,"clock_position":273,"value":338},{"alpha_index":455,"clock_position":455,"value":169},{"alpha_index":637,"clock_position":637,"value":169},{"alpha_index":819,"clock_position":819,"value":338},{"alpha_index":1001,"clock_position":1001,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,274,456,638,820,1002],"clock_positions":[92,274,456,638,820,1002],"native_values":[99,239,268,239,99,70],"rotation_degrees":30.32967032967033,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":99},{"alpha_index":274,"clock_position":274,"value":239},{"alpha_index":456,"clock_position":456,"value":268},{"alpha_index":638,"clock_position":638,"value":239},{"alpha_index":820,"clock_position":820,"value":99},{"alpha_index":1002,"clock_position":1002,"value":70}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,275,457,639,821,1003],"clock_positions":[93,275,457,639,821,1003],"native_values":[268,239,99,70,99,239],"rotation_degrees":30.65934065934066,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":268},{"alpha_index":275,"clock_position":275,"value":239},{"alpha_index":457,"clock_position":457,"value":99},{"alpha_index":639,"clock_position":639,"value":70},{"alpha_index":821,"clock_position":821,"value":99},{"alpha_index":1003,"clock_position":1003,"value":239}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,276,458,640,822,1004],"clock_positions":[94,276,458,640,822,1004],"native_values":[29,140,29,309,198,309],"rotation_degrees":30.98901098901099,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":29},{"alpha_index":276,"clock_position":276,"value":140},{"alpha_index":458,"clock_position":458,"value":29},{"alpha_index":640,"clock_position":640,"value":309},{"alpha_index":822,"clock_position":822,"value":198},{"alpha_index":1004,"clock_position":1004,"value":309}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,277,459,641,823,1005],"clock_positions":[95,277,459,641,823,1005],"native_values":[297,41,128,41,297,210],"rotation_degrees":31.318681318681318,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":297},{"alpha_index":277,"clock_position":277,"value":41},{"alpha_index":459,"clock_position":459,"value":128},{"alpha_index":641,"clock_position":641,"value":41},{"alpha_index":823,"clock_position":823,"value":297},{"alpha_index":1005,"clock_position":1005,"value":210}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,278,460,642,824,1006],"clock_positions":[96,278,460,642,824,1006],"native_values":[326,181,157,12,157,181],"rotation_degrees":31.64835164835165,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":326},{"alpha_index":278,"clock_position":278,"value":181},{"alpha_index":460,"clock_position":460,"value":157},{"alpha_index":642,"clock_position":642,"value":12},{"alpha_index":824,"clock_position":824,"value":157},{"alpha_index":1006,"clock_position":1006,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,279,461,643,825,1007],"clock_positions":[97,279,461,643,825,1007],"native_values":[285,222,285,53,116,53],"rotation_degrees":31.978021978021978,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":285},{"alpha_index":279,"clock_position":279,"value":222},{"alpha_index":461,"clock_position":461,"value":285},{"alpha_index":643,"clock_position":643,"value":53},{"alpha_index":825,"clock_position":825,"value":116},{"alpha_index":1007,"clock_position":1007,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,280,462,644,826,1008],"clock_positions":[98,280,462,644,826,1008],"native_values":[273,65,104,65,273,234],"rotation_degrees":32.30769230769231,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":273},{"alpha_index":280,"clock_position":280,"value":65},{"alpha_index":462,"clock_position":462,"value":104},{"alpha_index":644,"clock_position":644,"value":65},{"alpha_index":826,"clock_position":826,"value":273},{"alpha_index":1008,"clock_position":1008,"value":234}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,281,463,645,827,1009],"clock_positions":[99,281,463,645,827,1009],"native_values":[220,287,51,118,51,287],"rotation_degrees":32.637362637362635,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":220},{"alpha_index":281,"clock_position":281,"value":287},{"alpha_index":463,"clock_position":463,"value":51},{"alpha_index":645,"clock_position":645,"value":118},{"alpha_index":827,"clock_position":827,"value":51},{"alpha_index":1009,"clock_position":1009,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,282,464,646,828,1010],"clock_positions":[100,282,464,646,828,1010],"native_values":[155,14,155,183,324,183],"rotation_degrees":32.967032967032964,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":155},{"alpha_index":282,"clock_position":282,"value":14},{"alpha_index":464,"clock_position":464,"value":155},{"alpha_index":646,"clock_position":646,"value":183},{"alpha_index":828,"clock_position":828,"value":324},{"alpha_index":1010,"clock_position":1010,"value":183}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,283,465,647,829,1011],"clock_positions":[101,283,465,647,829,1011],"native_values":[37,301,206,301,37,132],"rotation_degrees":33.2967032967033,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":37},{"alpha_index":283,"clock_position":283,"value":301},{"alpha_index":465,"clock_position":465,"value":206},{"alpha_index":647,"clock_position":647,"value":301},{"alpha_index":829,"clock_position":829,"value":37},{"alpha_index":1011,"clock_position":1011,"value":132}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,284,466,648,830,1012],"clock_positions":[102,284,466,648,830,1012],"native_values":[192,315,23,146,23,315],"rotation_degrees":33.62637362637363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":192},{"alpha_index":284,"clock_position":284,"value":315},{"alpha_index":466,"clock_position":466,"value":23},{"alpha_index":648,"clock_position":648,"value":146},{"alpha_index":830,"clock_position":830,"value":23},{"alpha_index":1012,"clock_position":1012,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,285,467,649,831,1013],"clock_positions":[103,285,467,649,831,1013],"native_values":[229,278,229,109,60,109],"rotation_degrees":33.956043956043956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":229},{"alpha_index":285,"clock_position":285,"value":278},{"alpha_index":467,"clock_position":467,"value":229},{"alpha_index":649,"clock_position":649,"value":109},{"alpha_index":831,"clock_position":831,"value":60},{"alpha_index":1013,"clock_position":1013,"value":109}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,286,468,650,832,1014],"clock_positions":[104,286,468,650,832,1014],"native_values":[83,255,252,255,83,86],"rotation_degrees":34.285714285714285,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":83},{"alpha_index":286,"clock_position":286,"value":255},{"alpha_index":468,"clock_position":468,"value":252},{"alpha_index":650,"clock_position":650,"value":255},{"alpha_index":832,"clock_position":832,"value":83},{"alpha_index":1014,"clock_position":1014,"value":86}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,287,469,651,833,1015],"clock_positions":[105,287,469,651,833,1015],"native_values":[312,195,143,26,143,195],"rotation_degrees":34.61538461538461,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":312},{"alpha_index":287,"clock_position":287,"value":195},{"alpha_index":469,"clock_position":469,"value":143},{"alpha_index":651,"clock_position":651,"value":26},{"alpha_index":833,"clock_position":833,"value":143},{"alpha_index":1015,"clock_position":1015,"value":195}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,288,470,652,834,1016],"clock_positions":[106,288,470,652,834,1016],"native_values":[57,112,57,281,226,281],"rotation_degrees":34.94505494505494,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":57},{"alpha_index":288,"clock_position":288,"value":112},{"alpha_index":470,"clock_position":470,"value":57},{"alpha_index":652,"clock_position":652,"value":281},{"alpha_index":834,"clock_position":834,"value":226},{"alpha_index":1016,"clock_position":1016,"value":281}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,289,471,653,835,1017],"clock_positions":[107,289,471,653,835,1017],"native_values":[31,307,200,307,31,138],"rotation_degrees":35.27472527472528,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":31},{"alpha_index":289,"clock_position":289,"value":307},{"alpha_index":471,"clock_position":471,"value":200},{"alpha_index":653,"clock_position":653,"value":307},{"alpha_index":835,"clock_position":835,"value":31},{"alpha_index":1017,"clock_position":1017,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,290,472,654,836,1018],"clock_positions":[108,290,472,654,836,1018],"native_values":[88,81,257,250,257,81],"rotation_degrees":35.604395604395606,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":88},{"alpha_index":290,"clock_position":290,"value":81},{"alpha_index":472,"clock_position":472,"value":257},{"alpha_index":654,"clock_position":654,"value":250},{"alpha_index":836,"clock_position":836,"value":257},{"alpha_index":1018,"clock_position":1018,"value":81}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,291,473,655,837,1019],"clock_positions":[109,291,473,655,837,1019],"native_values":[119,50,119,219,288,219],"rotation_degrees":35.934065934065934,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":119},{"alpha_index":291,"clock_position":291,"value":50},{"alpha_index":473,"clock_position":473,"value":119},{"alpha_index":655,"clock_position":655,"value":219},{"alpha_index":837,"clock_position":837,"value":288},{"alpha_index":1019,"clock_position":1019,"value":219}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,292,474,656,838,1020],"clock_positions":[110,292,474,656,838,1020],"native_values":[207,131,38,131,207,300],"rotation_degrees":36.26373626373626,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":207},{"alpha_index":292,"clock_position":292,"value":131},{"alpha_index":474,"clock_position":474,"value":38},{"alpha_index":656,"clock_position":656,"value":131},{"alpha_index":838,"clock_position":838,"value":207},{"alpha_index":1020,"clock_position":1020,"value":300}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,293,475,657,839,1021],"clock_positions":[111,293,475,657,839,1021],"native_values":[326,181,157,12,157,181],"rotation_degrees":36.59340659340659,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":326},{"alpha_index":293,"clock_position":293,"value":181},{"alpha_index":475,"clock_position":475,"value":157},{"alpha_index":657,"clock_position":657,"value":12},{"alpha_index":839,"clock_position":839,"value":157},{"alpha_index":1021,"clock_position":1021,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,294,476,658,840,1022],"clock_positions":[112,294,476,658,840,1022],"native_values":[195,312,195,143,26,143],"rotation_degrees":36.92307692307692,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":195},{"alpha_index":294,"clock_position":294,"value":312},{"alpha_index":476,"clock_position":476,"value":195},{"alpha_index":658,"clock_position":658,"value":143},{"alpha_index":840,"clock_position":840,"value":26},{"alpha_index":1022,"clock_position":1022,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,295,477,659,841,1023],"clock_positions":[113,295,477,659,841,1023],"native_values":[183,155,14,155,183,324],"rotation_degrees":37.252747252747255,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":183},{"alpha_index":295,"clock_position":295,"value":155},{"alpha_index":477,"clock_position":477,"value":14},{"alpha_index":659,"clock_position":659,"value":155},{"alpha_index":841,"clock_position":841,"value":183},{"alpha_index":1023,"clock_position":1023,"value":324}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,296,478,660,842,1024],"clock_positions":[114,296,478,660,842,1024],"native_values":[40,129,209,298,209,129],"rotation_degrees":37.582417582417584,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":40},{"alpha_index":296,"clock_position":296,"value":129},{"alpha_index":478,"clock_position":478,"value":209},{"alpha_index":660,"clock_position":660,"value":298},{"alpha_index":842,"clock_position":842,"value":209},{"alpha_index":1024,"clock_position":1024,"value":129}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,297,479,661,843,1025],"clock_positions":[115,297,479,661,843,1025],"native_values":[223,284,223,115,54,115],"rotation_degrees":37.91208791208791,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":223},{"alpha_index":297,"clock_position":297,"value":284},{"alpha_index":479,"clock_position":479,"value":223},{"alpha_index":661,"clock_position":661,"value":115},{"alpha_index":843,"clock_position":843,"value":54},{"alpha_index":1025,"clock_position":1025,"value":115}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,298,480,662,844,1026],"clock_positions":[116,298,480,662,844,1026],"native_values":[263,75,94,75,263,244],"rotation_degrees":38.24175824175824,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":263},{"alpha_index":298,"clock_position":298,"value":75},{"alpha_index":480,"clock_position":480,"value":94},{"alpha_index":662,"clock_position":662,"value":75},{"alpha_index":844,"clock_position":844,"value":263},{"alpha_index":1026,"clock_position":1026,"value":244}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,299,481,663,845,1027],"clock_positions":[117,299,481,663,845,1027],"native_values":[148,21,317,190,317,21],"rotation_degrees":38.57142857142857,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":148},{"alpha_index":299,"clock_position":299,"value":21},{"alpha_index":481,"clock_position":481,"value":317},{"alpha_index":663,"clock_position":663,"value":190},{"alpha_index":845,"clock_position":845,"value":317},{"alpha_index":1027,"clock_position":1027,"value":21}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,300,482,664,846,1028],"clock_positions":[118,300,482,664,846,1028],"native_values":[73,96,73,265,242,265],"rotation_degrees":38.9010989010989,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":73},{"alpha_index":300,"clock_position":300,"value":96},{"alpha_index":482,"clock_position":482,"value":73},{"alpha_index":664,"clock_position":664,"value":265},{"alpha_index":846,"clock_position":846,"value":242},{"alpha_index":1028,"clock_position":1028,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,301,483,665,847,1029],"clock_positions":[119,301,483,665,847,1029],"native_values":[221,117,52,117,221,286],"rotation_degrees":39.23076923076923,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":221},{"alpha_index":301,"clock_position":301,"value":117},{"alpha_index":483,"clock_position":483,"value":52},{"alpha_index":665,"clock_position":665,"value":117},{"alpha_index":847,"clock_position":847,"value":221},{"alpha_index":1029,"clock_position":1029,"value":286}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,302,484,666,848,1030],"clock_positions":[120,302,484,666,848,1030],"native_values":[294,213,125,44,125,213],"rotation_degrees":39.56043956043956,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":294},{"alpha_index":302,"clock_position":302,"value":213},{"alpha_index":484,"clock_position":484,"value":125},{"alpha_index":666,"clock_position":666,"value":44},{"alpha_index":848,"clock_position":848,"value":125},{"alpha_index":1030,"clock_position":1030,"value":213}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,303,485,667,849,1031],"clock_positions":[121,303,485,667,849,1031],"native_values":[177,330,177,161,8,161],"rotation_degrees":39.89010989010989,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":177},{"alpha_index":303,"clock_position":303,"value":330},{"alpha_index":485,"clock_position":485,"value":177},{"alpha_index":667,"clock_position":667,"value":161},{"alpha_index":849,"clock_position":849,"value":8},{"alpha_index":1031,"clock_position":1031,"value":161}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,304,486,668,850,1032],"clock_positions":[122,304,486,668,850,1032],"native_values":[133,205,302,205,133,36],"rotation_degrees":40.21978021978022,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":133},{"alpha_index":304,"clock_position":304,"value":205},{"alpha_index":486,"clock_position":486,"value":302},{"alpha_index":668,"clock_position":668,"value":205},{"alpha_index":850,"clock_position":850,"value":133},{"alpha_index":1032,"clock_position":1032,"value":36}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,305,487,669,851,1033],"clock_positions":[123,305,487,669,851,1033],"native_values":[310,197,141,28,141,197],"rotation_degrees":40.54945054945055,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":310},{"alpha_index":305,"clock_position":305,"value":197},{"alpha_index":487,"clock_position":487,"value":141},{"alpha_index":669,"clock_position":669,"value":28},{"alpha_index":851,"clock_position":851,"value":141},{"alpha_index":1033,"clock_position":1033,"value":197}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,306,488,670,852,1034],"clock_positions":[124,306,488,670,852,1034],"native_values":[105,64,105,233,274,233],"rotation_degrees":40.879120879120876,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":105},{"alpha_index":306,"clock_position":306,"value":64},{"alpha_index":488,"clock_position":488,"value":105},{"alpha_index":670,"clock_position":670,"value":233},{"alpha_index":852,"clock_position":852,"value":274},{"alpha_index":1034,"clock_position":1034,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,307,489,671,853,1035],"clock_positions":[125,307,489,671,853,1035],"native_values":[77,261,246,261,77,92],"rotation_degrees":41.20879120879121,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":77},{"alpha_index":307,"clock_position":307,"value":261},{"alpha_index":489,"clock_position":489,"value":246},{"alpha_index":671,"clock_position":671,"value":261},{"alpha_index":853,"clock_position":853,"value":77},{"alpha_index":1035,"clock_position":1035,"value":92}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,308,490,672,854,1036],"clock_positions":[126,308,490,672,854,1036],"native_values":[182,325,13,156,13,325],"rotation_degrees":41.53846153846154,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":182},{"alpha_index":308,"clock_position":308,"value":325},{"alpha_index":490,"clock_position":490,"value":13},{"alpha_index":672,"clock_position":672,"value":156},{"alpha_index":854,"clock_position":854,"value":13},{"alpha_index":1036,"clock_position":1036,"value":325}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,309,491,673,855,1037],"clock_positions":[127,309,491,673,855,1037],"native_values":[259,248,259,79,90,79],"rotation_degrees":41.86813186813187,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":259},{"alpha_index":309,"clock_position":309,"value":248},{"alpha_index":491,"clock_position":491,"value":259},{"alpha_index":673,"clock_position":673,"value":79},{"alpha_index":855,"clock_position":855,"value":90},{"alpha_index":1037,"clock_position":1037,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,310,492,674,856,1038],"clock_positions":[128,310,492,674,856,1038],"native_values":[103,235,272,235,103,66],"rotation_degrees":42.1978021978022,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":103},{"alpha_index":310,"clock_position":310,"value":235},{"alpha_index":492,"clock_position":492,"value":272},{"alpha_index":674,"clock_position":674,"value":235},{"alpha_index":856,"clock_position":856,"value":103},{"alpha_index":1038,"clock_position":1038,"value":66}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,311,493,675,857,1039],"clock_positions":[129,311,493,675,857,1039],"native_values":[24,145,193,314,193,145],"rotation_degrees":42.527472527472526,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":24},{"alpha_index":311,"clock_position":311,"value":145},{"alpha_index":493,"clock_position":493,"value":193},{"alpha_index":675,"clock_position":675,"value":314},{"alpha_index":857,"clock_position":857,"value":193},{"alpha_index":1039,"clock_position":1039,"value":145}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,312,494,676,858,1040],"clock_positions":[130,312,494,676,858,1040],"native_values":[127,42,127,211,296,211],"rotation_degrees":42.857142857142854,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":127},{"alpha_index":312,"clock_position":312,"value":42},{"alpha_index":494,"clock_position":494,"value":127},{"alpha_index":676,"clock_position":676,"value":211},{"alpha_index":858,"clock_position":858,"value":296},{"alpha_index":1040,"clock_position":1040,"value":211}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,313,495,677,859,1041],"clock_positions":[131,313,495,677,859,1041],"native_values":[151,187,320,187,151,18],"rotation_degrees":43.18681318681319,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":151},{"alpha_index":313,"clock_position":313,"value":187},{"alpha_index":495,"clock_position":495,"value":320},{"alpha_index":677,"clock_position":677,"value":187},{"alpha_index":859,"clock_position":859,"value":151},{"alpha_index":1041,"clock_position":1041,"value":18}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,314,496,678,860,1042],"clock_positions":[132,314,496,678,860,1042],"native_values":[278,229,109,60,109,229],"rotation_degrees":43.51648351648352,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":278},{"alpha_index":314,"clock_position":314,"value":229},{"alpha_index":496,"clock_position":496,"value":109},{"alpha_index":678,"clock_position":678,"value":60},{"alpha_index":860,"clock_position":860,"value":109},{"alpha_index":1042,"clock_position":1042,"value":229}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,315,497,679,861,1043],"clock_positions":[133,315,497,679,861,1043],"native_values":[91,78,91,247,260,247],"rotation_degrees":43.84615384615385,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":91},{"alpha_index":315,"clock_position":315,"value":78},{"alpha_index":497,"clock_position":497,"value":91},{"alpha_index":679,"clock_position":679,"value":247},{"alpha_index":861,"clock_position":861,"value":260},{"alpha_index":1043,"clock_position":1043,"value":247}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,316,498,680,862,1044],"clock_positions":[134,316,498,680,862,1044],"native_values":[31,307,200,307,31,138],"rotation_degrees":44.175824175824175,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":31},{"alpha_index":316,"clock_position":316,"value":307},{"alpha_index":498,"clock_position":498,"value":200},{"alpha_index":680,"clock_position":680,"value":307},{"alpha_index":862,"clock_position":862,"value":31},{"alpha_index":1044,"clock_position":1044,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,317,499,681,863,1045],"clock_positions":[135,317,499,681,863,1045],"native_values":[122,47,291,216,291,47],"rotation_degrees":44.505494505494504,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":122},{"alpha_index":317,"clock_position":317,"value":47},{"alpha_index":499,"clock_position":499,"value":291},{"alpha_index":681,"clock_position":681,"value":216},{"alpha_index":863,"clock_position":863,"value":291},{"alpha_index":1045,"clock_position":1045,"value":47}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,318,500,682,864,1046],"clock_positions":[136,318,500,682,864,1046],"native_values":[153,16,153,185,322,185],"rotation_degrees":44.83516483516483,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":153},{"alpha_index":318,"clock_position":318,"value":16},{"alpha_index":500,"clock_position":500,"value":153},{"alpha_index":682,"clock_position":682,"value":185},{"alpha_index":864,"clock_position":864,"value":322},{"alpha_index":1046,"clock_position":1046,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,319,501,683,865,1047],"clock_positions":[137,319,501,683,865,1047],"native_values":[275,63,106,63,275,232],"rotation_degrees":45.16483516483517,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":275},{"alpha_index":319,"clock_position":319,"value":63},{"alpha_index":501,"clock_position":501,"value":106},{"alpha_index":683,"clock_position":683,"value":63},{"alpha_index":865,"clock_position":865,"value":275},{"alpha_index":1047,"clock_position":1047,"value":232}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,320,502,684,866,1048],"clock_positions":[138,320,502,684,866,1048],"native_values":[90,79,259,248,259,79],"rotation_degrees":45.494505494505496,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":90},{"alpha_index":320,"clock_position":320,"value":79},{"alpha_index":502,"clock_position":502,"value":259},{"alpha_index":684,"clock_position":684,"value":248},{"alpha_index":866,"clock_position":866,"value":259},{"alpha_index":1048,"clock_position":1048,"value":79}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,321,503,685,867,1049],"clock_positions":[139,321,503,685,867,1049],"native_values":[27,142,27,311,196,311],"rotation_degrees":45.824175824175825,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":27},{"alpha_index":321,"clock_position":321,"value":142},{"alpha_index":503,"clock_position":503,"value":27},{"alpha_index":685,"clock_position":685,"value":311},{"alpha_index":867,"clock_position":867,"value":196},{"alpha_index":1049,"clock_position":1049,"value":311}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,322,504,686,868,1050],"clock_positions":[140,322,504,686,868,1050],"native_values":[117,221,286,221,117,52],"rotation_degrees":46.15384615384615,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":117},{"alpha_index":322,"clock_position":322,"value":221},{"alpha_index":504,"clock_position":504,"value":286},{"alpha_index":686,"clock_position":686,"value":221},{"alpha_index":868,"clock_position":868,"value":117},{"alpha_index":1050,"clock_position":1050,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,323,505,687,869,1051],"clock_positions":[141,323,505,687,869,1051],"native_values":[144,25,313,194,313,25],"rotation_degrees":46.48351648351648,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":144},{"alpha_index":323,"clock_position":323,"value":25},{"alpha_index":505,"clock_position":505,"value":313},{"alpha_index":687,"clock_position":687,"value":194},{"alpha_index":869,"clock_position":869,"value":313},{"alpha_index":1051,"clock_position":1051,"value":25}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,324,506,688,870,1052],"clock_positions":[142,324,506,688,870,1052],"native_values":[261,246,261,77,92,77],"rotation_degrees":46.81318681318681,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":261},{"alpha_index":324,"clock_position":324,"value":246},{"alpha_index":506,"clock_position":506,"value":261},{"alpha_index":688,"clock_position":688,"value":77},{"alpha_index":870,"clock_position":870,"value":92},{"alpha_index":1052,"clock_position":1052,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,325,507,689,871,1053],"clock_positions":[143,325,507,689,871,1053],"native_values":[67,271,236,271,67,102],"rotation_degrees":47.142857142857146,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":67},{"alpha_index":325,"clock_position":325,"value":271},{"alpha_index":507,"clock_position":507,"value":236},{"alpha_index":689,"clock_position":689,"value":271},{"alpha_index":871,"clock_position":871,"value":67},{"alpha_index":1053,"clock_position":1053,"value":102}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,326,508,690,872,1054],"clock_positions":[144,326,508,690,872,1054],"native_values":[328,179,159,10,159,179],"rotation_degrees":47.472527472527474,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":328},{"alpha_index":326,"clock_position":326,"value":179},{"alpha_index":508,"clock_position":508,"value":159},{"alpha_index":690,"clock_position":690,"value":10},{"alpha_index":872,"clock_position":872,"value":159},{"alpha_index":1054,"clock_position":1054,"value":179}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,327,509,691,873,1055],"clock_positions":[145,327,509,691,873,1055],"native_values":[57,112,57,281,226,281],"rotation_degrees":47.8021978021978,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":57},{"alpha_index":327,"clock_position":327,"value":112},{"alpha_index":509,"clock_position":509,"value":57},{"alpha_index":691,"clock_position":691,"value":281},{"alpha_index":873,"clock_position":873,"value":226},{"alpha_index":1055,"clock_position":1055,"value":281}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,328,510,692,874,1056],"clock_positions":[146,328,510,692,874,1056],"native_values":[47,291,216,291,47,122],"rotation_degrees":48.13186813186813,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":47},{"alpha_index":328,"clock_position":328,"value":291},{"alpha_index":510,"clock_position":510,"value":216},{"alpha_index":692,"clock_position":692,"value":291},{"alpha_index":874,"clock_position":874,"value":47},{"alpha_index":1056,"clock_position":1056,"value":122}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,329,511,693,875,1057],"clock_positions":[147,329,511,693,875,1057],"native_values":[104,65,273,234,273,65],"rotation_degrees":48.46153846153846,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":104},{"alpha_index":329,"clock_position":329,"value":65},{"alpha_index":511,"clock_position":511,"value":273},{"alpha_index":693,"clock_position":693,"value":234},{"alpha_index":875,"clock_position":875,"value":273},{"alpha_index":1057,"clock_position":1057,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,330,512,694,876,1058],"clock_positions":[148,330,512,694,876,1058],"native_values":[151,18,151,187,320,187],"rotation_degrees":48.79120879120879,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":151},{"alpha_index":330,"clock_position":330,"value":18},{"alpha_index":512,"clock_position":512,"value":151},{"alpha_index":694,"clock_position":694,"value":187},{"alpha_index":876,"clock_position":876,"value":320},{"alpha_index":1058,"clock_position":1058,"value":187}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,331,513,695,877,1059],"clock_positions":[149,331,513,695,877,1059],"native_values":[255,83,86,83,255,252],"rotation_degrees":49.120879120879124,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":255},{"alpha_index":331,"clock_position":331,"value":83},{"alpha_index":513,"clock_position":513,"value":86},{"alpha_index":695,"clock_position":695,"value":83},{"alpha_index":877,"clock_position":877,"value":255},{"alpha_index":1059,"clock_position":1059,"value":252}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,332,514,696,878,1060],"clock_positions":[150,332,514,696,878,1060],"native_values":[68,101,237,270,237,101],"rotation_degrees":49.45054945054945,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":68},{"alpha_index":332,"clock_position":332,"value":101},{"alpha_index":514,"clock_position":514,"value":237},{"alpha_index":696,"clock_position":696,"value":270},{"alpha_index":878,"clock_position":878,"value":237},{"alpha_index":1060,"clock_position":1060,"value":101}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,333,515,697,879,1061],"clock_positions":[151,333,515,697,879,1061],"native_values":[323,184,323,15,154,15],"rotation_degrees":49.78021978021978,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":323},{"alpha_index":333,"clock_position":333,"value":184},{"alpha_index":515,"clock_position":515,"value":323},{"alpha_index":697,"clock_position":697,"value":15},{"alpha_index":879,"clock_position":879,"value":154},{"alpha_index":1061,"clock_position":1061,"value":15}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,334,516,698,880,1062],"clock_positions":[152,334,516,698,880,1062],"native_values":[53,285,222,285,53,116],"rotation_degrees":50.10989010989011,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":53},{"alpha_index":334,"clock_position":334,"value":285},{"alpha_index":516,"clock_position":516,"value":222},{"alpha_index":698,"clock_position":698,"value":285},{"alpha_index":880,"clock_position":880,"value":53},{"alpha_index":1062,"clock_position":1062,"value":116}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,335,517,699,881,1063],"clock_positions":[153,335,517,699,881,1063],"native_values":[38,131,207,300,207,131],"rotation_degrees":50.43956043956044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":38},{"alpha_index":335,"clock_position":335,"value":131},{"alpha_index":517,"clock_position":517,"value":207},{"alpha_index":699,"clock_position":699,"value":300},{"alpha_index":881,"clock_position":881,"value":207},{"alpha_index":1063,"clock_position":1063,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,336,518,700,882,1064],"clock_positions":[154,336,518,700,882,1064],"native_values":[91,78,91,247,260,247],"rotation_degrees":50.76923076923077,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":91},{"alpha_index":336,"clock_position":336,"value":78},{"alpha_index":518,"clock_position":518,"value":91},{"alpha_index":700,"clock_position":700,"value":247},{"alpha_index":882,"clock_position":882,"value":260},{"alpha_index":1064,"clock_position":1064,"value":247}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,337,519,701,883,1065],"clock_positions":[155,337,519,701,883,1065],"native_values":[129,209,298,209,129,40],"rotation_degrees":51.0989010989011,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":129},{"alpha_index":337,"clock_position":337,"value":209},{"alpha_index":519,"clock_position":519,"value":298},{"alpha_index":701,"clock_position":701,"value":209},{"alpha_index":883,"clock_position":883,"value":129},{"alpha_index":1065,"clock_position":1065,"value":40}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,338,520,702,884,1066],"clock_positions":[156,338,520,702,884,1066],"native_values":[220,287,51,118,51,287],"rotation_degrees":51.42857142857143,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":220},{"alpha_index":338,"clock_position":338,"value":287},{"alpha_index":520,"clock_position":520,"value":51},{"alpha_index":702,"clock_position":702,"value":118},{"alpha_index":884,"clock_position":884,"value":51},{"alpha_index":1066,"clock_position":1066,"value":287}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,339,521,703,885,1067],"clock_positions":[157,339,521,703,885,1067],"native_values":[11,158,11,327,180,327],"rotation_degrees":51.75824175824176,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":11},{"alpha_index":339,"clock_position":339,"value":158},{"alpha_index":521,"clock_position":521,"value":11},{"alpha_index":703,"clock_position":703,"value":327},{"alpha_index":885,"clock_position":885,"value":180},{"alpha_index":1067,"clock_position":1067,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,340,522,704,886,1068],"clock_positions":[158,340,522,704,886,1068],"native_values":[231,107,62,107,231,276],"rotation_degrees":52.08791208791209,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":231},{"alpha_index":340,"clock_position":340,"value":107},{"alpha_index":522,"clock_position":522,"value":62},{"alpha_index":704,"clock_position":704,"value":107},{"alpha_index":886,"clock_position":886,"value":231},{"alpha_index":1068,"clock_position":1068,"value":276}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,341,523,705,887,1069],"clock_positions":[159,341,523,705,887,1069],"native_values":[242,265,73,96,73,265],"rotation_degrees":52.417582417582416,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":242},{"alpha_index":341,"clock_position":341,"value":265},{"alpha_index":523,"clock_position":523,"value":73},{"alpha_index":705,"clock_position":705,"value":96},{"alpha_index":887,"clock_position":887,"value":73},{"alpha_index":1069,"clock_position":1069,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,342,524,706,888,1070],"clock_positions":[160,342,524,706,888,1070],"native_values":[135,34,135,203,304,203],"rotation_degrees":52.747252747252745,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":135},{"alpha_index":342,"clock_position":342,"value":34},{"alpha_index":524,"clock_position":524,"value":135},{"alpha_index":706,"clock_position":706,"value":203},{"alpha_index":888,"clock_position":888,"value":304},{"alpha_index":1070,"clock_position":1070,"value":203}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,343,525,707,889,1071],"clock_positions":[161,343,525,707,889,1071],"native_values":[39,299,208,299,39,130],"rotation_degrees":53.07692307692308,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":39},{"alpha_index":343,"clock_position":343,"value":299},{"alpha_index":525,"clock_position":525,"value":208},{"alpha_index":707,"clock_position":707,"value":299},{"alpha_index":889,"clock_position":889,"value":39},{"alpha_index":1071,"clock_position":1071,"value":130}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,344,526,708,890,1072],"clock_positions":[162,344,526,708,890,1072],"native_values":[174,333,5,164,5,333],"rotation_degrees":53.40659340659341,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":174},{"alpha_index":344,"clock_position":344,"value":333},{"alpha_index":526,"clock_position":526,"value":5},{"alpha_index":708,"clock_position":708,"value":164},{"alpha_index":890,"clock_position":890,"value":5},{"alpha_index":1072,"clock_position":1072,"value":333}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,345,527,709,891,1073],"clock_positions":[163,345,527,709,891,1073],"native_values":[213,294,213,125,44,125],"rotation_degrees":53.73626373626374,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":213},{"alpha_index":345,"clock_position":345,"value":294},{"alpha_index":527,"clock_position":527,"value":213},{"alpha_index":709,"clock_position":709,"value":125},{"alpha_index":891,"clock_position":891,"value":44},{"alpha_index":1073,"clock_position":1073,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,346,528,710,892,1074],"clock_positions":[164,346,528,710,892,1074],"native_values":[49,289,218,289,49,120],"rotation_degrees":54.065934065934066,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":49},{"alpha_index":346,"clock_position":346,"value":289},{"alpha_index":528,"clock_position":528,"value":218},{"alpha_index":710,"clock_position":710,"value":289},{"alpha_index":892,"clock_position":892,"value":49},{"alpha_index":1074,"clock_position":1074,"value":120}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,347,529,711,893,1075],"clock_positions":[165,347,529,711,893,1075],"native_values":[262,245,93,76,93,245],"rotation_degrees":54.395604395604394,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":262},{"alpha_index":347,"clock_position":347,"value":245},{"alpha_index":529,"clock_position":529,"value":93},{"alpha_index":711,"clock_position":711,"value":76},{"alpha_index":893,"clock_position":893,"value":93},{"alpha_index":1075,"clock_position":1075,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,348,530,712,894,1076],"clock_positions":[166,348,530,712,894,1076],"native_values":[311,196,311,27,142,27],"rotation_degrees":54.72527472527472,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":311},{"alpha_index":348,"clock_position":348,"value":196},{"alpha_index":530,"clock_position":530,"value":311},{"alpha_index":712,"clock_position":712,"value":27},{"alpha_index":894,"clock_position":894,"value":142},{"alpha_index":1076,"clock_position":1076,"value":27}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,349,531,713,895,1077],"clock_positions":[167,349,531,713,895,1077],"native_values":[235,103,66,103,235,272],"rotation_degrees":55.05494505494506,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":235},{"alpha_index":349,"clock_position":349,"value":103},{"alpha_index":531,"clock_position":531,"value":66},{"alpha_index":713,"clock_position":713,"value":103},{"alpha_index":895,"clock_position":895,"value":235},{"alpha_index":1077,"clock_position":1077,"value":272}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,350,532,714,896,1078],"clock_positions":[168,350,532,714,896,1078],"native_values":[208,299,39,130,39,299],"rotation_degrees":55.38461538461539,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":208},{"alpha_index":350,"clock_position":350,"value":299},{"alpha_index":532,"clock_position":532,"value":39},{"alpha_index":714,"clock_position":714,"value":130},{"alpha_index":896,"clock_position":896,"value":39},{"alpha_index":1078,"clock_position":1078,"value":299}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,351,533,715,897,1079],"clock_positions":[169,351,533,715,897,1079],"native_values":[105,64,105,233,274,233],"rotation_degrees":55.714285714285715,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":105},{"alpha_index":351,"clock_position":351,"value":64},{"alpha_index":533,"clock_position":533,"value":105},{"alpha_index":715,"clock_position":715,"value":233},{"alpha_index":897,"clock_position":897,"value":274},{"alpha_index":1079,"clock_position":1079,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,352,534,716,898,1080],"clock_positions":[170,352,534,716,898,1080],"native_values":[313,25,144,25,313,194],"rotation_degrees":56.043956043956044,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":313},{"alpha_index":352,"clock_position":352,"value":25},{"alpha_index":534,"clock_position":534,"value":144},{"alpha_index":716,"clock_position":716,"value":25},{"alpha_index":898,"clock_position":898,"value":313},{"alpha_index":1080,"clock_position":1080,"value":194}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,353,535,717,899,1081],"clock_positions":[171,353,535,717,899,1081],"native_values":[80,89,249,258,249,89],"rotation_degrees":56.37362637362637,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":80},{"alpha_index":353,"clock_position":353,"value":89},{"alpha_index":535,"clock_position":535,"value":249},{"alpha_index":717,"clock_position":717,"value":258},{"alpha_index":899,"clock_position":899,"value":249},{"alpha_index":1081,"clock_position":1081,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,354,536,718,900,1082],"clock_positions":[172,354,536,718,900,1082],"native_values":[55,114,55,283,224,283],"rotation_degrees":56.7032967032967,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":55},{"alpha_index":354,"clock_position":354,"value":114},{"alpha_index":536,"clock_position":536,"value":55},{"alpha_index":718,"clock_position":718,"value":283},{"alpha_index":900,"clock_position":900,"value":224},{"alpha_index":1082,"clock_position":1082,"value":283}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,355,537,719,901,1083],"clock_positions":[173,355,537,719,901,1083],"native_values":[135,203,304,203,135,34],"rotation_degrees":57.032967032967036,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":135},{"alpha_index":355,"clock_position":355,"value":203},{"alpha_index":537,"clock_position":537,"value":304},{"alpha_index":719,"clock_position":719,"value":203},{"alpha_index":901,"clock_position":901,"value":135},{"alpha_index":1083,"clock_position":1083,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,356,538,720,902,1084],"clock_positions":[174,356,538,720,902,1084],"native_values":[190,317,21,148,21,317],"rotation_degrees":57.362637362637365,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":190},{"alpha_index":356,"clock_position":356,"value":317},{"alpha_index":538,"clock_position":538,"value":21},{"alpha_index":720,"clock_position":720,"value":148},{"alpha_index":902,"clock_position":902,"value":21},{"alpha_index":1084,"clock_position":1084,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,357,539,721,903,1085],"clock_positions":[175,357,539,721,903,1085],"native_values":[325,182,325,13,156,13],"rotation_degrees":57.69230769230769,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":325},{"alpha_index":357,"clock_position":357,"value":182},{"alpha_index":539,"clock_position":539,"value":325},{"alpha_index":721,"clock_position":721,"value":13},{"alpha_index":903,"clock_position":903,"value":156},{"alpha_index":1085,"clock_position":1085,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,358,540,722,904,1086],"clock_positions":[176,358,540,722,904,1086],"native_values":[177,161,8,161,177,330],"rotation_degrees":58.02197802197802,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":177},{"alpha_index":358,"clock_position":358,"value":161},{"alpha_index":540,"clock_position":540,"value":8},{"alpha_index":722,"clock_position":722,"value":161},{"alpha_index":904,"clock_position":904,"value":177},{"alpha_index":1086,"clock_position":1086,"value":330}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,359,541,723,905,1087],"clock_positions":[177,359,541,723,905,1087],"native_values":[164,5,333,174,333,5],"rotation_degrees":58.35164835164835,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":164},{"alpha_index":359,"clock_position":359,"value":5},{"alpha_index":541,"clock_position":541,"value":333},{"alpha_index":723,"clock_position":723,"value":174},{"alpha_index":905,"clock_position":905,"value":333},{"alpha_index":1087,"clock_position":1087,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,360,542,724,906,1088],"clock_positions":[178,360,542,724,906,1088],"native_values":[3,166,3,335,172,335],"rotation_degrees":58.68131868131868,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":360,"clock_position":360,"value":166},{"alpha_index":724,"clock_position":724,"value":335},{"alpha_index":906,"clock_position":906,"value":172},{"alpha_index":1088,"clock_position":1088,"value":335}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,361,543,725,907,1089],"clock_positions":[179,361,543,725,907,1089],"native_values":[167,171,336,171,167,2],"rotation_degrees":59.010989010989015,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":167},{"alpha_index":361,"clock_position":361,"value":171},{"alpha_index":543,"clock_position":543,"value":336},{"alpha_index":725,"clock_position":725,"value":171},{"alpha_index":907,"clock_position":907,"value":167},{"alpha_index":1089,"clock_position":1089,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,362,544,726,908,1090],"clock_positions":[180,362,544,726,908,1090],"native_values":[170,337,1,168,1,337],"rotation_degrees":59.34065934065934,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":170},{"alpha_index":362,"clock_position":362,"value":337},{"alpha_index":544,"clock_position":544,"value":1},{"alpha_index":726,"clock_position":726,"value":168},{"alpha_index":908,"clock_position":908,"value":1},{"alpha_index":1090,"clock_position":1090,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,363,545,727,909,1091],"clock_positions":[181,363,545,727,909,1091],"native_values":[337,170,337,1,168,1],"rotation_degrees":59.67032967032967,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":337},{"alpha_index":363,"clock_position":363,"value":170},{"alpha_index":545,"clock_position":545,"value":337},{"alpha_index":727,"clock_position":727,"value":1},{"alpha_index":909,"clock_position":909,"value":168},{"alpha_index":1091,"clock_position":1091,"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/m338/alpha.svg","png":"pilot-v1/views/m338/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m338/beta.svg","png":"pilot-v1/views/m338/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m338/gamma.svg","png":"pilot-v1/views/m338/gamma.png"},{"id":"fibonacci-m338p1092","name":"Fibonacci M338P1092","svg":"pilot-v1/views/m338/fibonacci-m338p1092.svg","png":"pilot-v1/views/m338/fibonacci-m338p1092.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}}