{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m772-p1164","name":"Fibonacci M772P1164","modulus":772,"pisano_period":1164,"conventions":{"index_origin":0,"clock_labels":[1164,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163],"orientation":"clockwise from north","zero_display":772,"alpha_circle_positions":1164,"beta_circle_positions":772,"node_rule":"Native residues divisible by 3, including zero; preserves the approved M6/M9/M12 reference selection. Additional regular formations of all native values are catalogued separately.","m1_convention":"Modulo 1 has period 1 and residue 0."},"alpha":{"residues":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,215,53,268,321,589,138,727,93,48,141,189,330,519,77,596,673,497,398,123,521,644,393,265,658,151,37,188,225,413,638,279,145,424,569,221,18,239,257,496,753,477,458,163,621,12,633,645,506,379,113,492,605,325,158,483,641,352,221,573,22,595,617,440,285,725,238,191,429,620,277,125,402,527,157,684,69,753,50,31,81,112,193,305,498,31,529,560,317,105,422,527,177,704,109,41,150,191,341,532,101,633,734,595,557,380,165,545,710,483,421,132,553,685,466,379,73,452,525,205,730,163,121,284,405,689,322,239,561,28,589,617,434,279,713,220,161,381,542,151,693,72,765,65,58,123,181,304,485,17,502,519,249,768,245,241,486,727,441,396,65,461,526,215,741,184,153,337,490,55,545,600,373,201,574,3,577,580,385,193,578,771,577,576,381,185,566,751,545,524,297,49,346,395,741,364,333,697,258,183,441,624,293,145,438,583,249,60,309,369,678,275,181,456,637,321,186,507,693,428,349,5,354,359,713,300,241,541,10,551,561,340,129,469,598,295,121,416,537,181,718,127,73,200,273,473,746,447,421,96,517,613,358,199,557,756,541,525,294,47,341,388,729,345,302,647,177,52,229,281,510,19,529,548,305,81,386,467,81,548,629,405,262,667,157,52,209,261,470,731,429,388,45,433,478,139,617,756,601,585,414,227,641,96,737,61,26,87,113,200,313,513,54,567,621,416,265,681,174,83,257,340,597,165,762,155,145,300,445,745,418,391,37,428,465,121,586,707,521,456,205,661,94,755,77,60,137,197,334,531,93,624,717,569,514,311,53,364,417,9,426,435,89,524,613,365,206,571,5,576,581,385,194,579,1,580,581,389,198,587,13,600,613,441,282,723,233,184,417,601,246,75,321,396,717,341,286,627,141,768,137,133,270,403,673,304,205,509,714,451,393,72,465,537,230,767,225,220,445,665,338,231,569,28,597,625,450,303,753,284,265,549,42,591,633,452,313,765,306,299,605,132,737,97,62,159,221,380,601,209,38,247,285,532,45,577,622,427,277,704,209,141,350,491,69,560,629,417,274,691,193,112,305,417,722,367,317,684,229,141,370,511,109,620,729,577,534,339,101,440,541,209,750,187,165,352,517,97,614,711,553,492,273,765,266,259,525,12,537,549,314,91,405,496,129,625,754,607,589,424,241,665,134,27,161,188,349,537,114,651,765,644,637,509,374,111,485,596,309,133,442,575,245,48,293,341,634,203,65,268,333,601,162,763,153,144,297,441,738,407,373,8,381,389,770,387,385,0,385,385,770,383,381,764,373,365,738,331,297,628,153,9,162,171,333,504,65,569,634,431,293,724,245,197,442,639,309,176,485,661,374,263,637,128,765,121,114,235,349,584,161,745,134,107,241,348,589,165,754,147,129,276,405,681,314,223,537,760,525,513,266,7,273,280,553,61,614,675,517,420,165,585,750,563,541,332,101,433,534,195,729,152,109,261,370,631,229,88,317,405,722,355,305,660,193,81,274,355,629,212,69,281,350,631,209,68,277,345,622,195,45,240,285,525,38,563,601,392,221,613,62,675,737,640,605,473,306,7,313,320,633,181,42,223,265,488,753,469,450,147,597,744,569,541,338,107,445,552,225,5,230,235,465,700,393,321,714,263,205,468,673,369,270,639,137,4,141,145,286,431,717,376,321,697,246,171,417,588,233,49,282,331,613,172,13,185,198,383,581,192,1,193,194,387,581,196,5,201,206,407,613,248,89,337,426,763,417,408,53,461,514,203,717,148,93,241,334,575,137,712,77,17,94,111,205,316,521,65,586,651,465,344,37,381,418,27,445,472,145,617,762,607,597,432,257,689,174,91,265,356,621,205,54,259,313,572,113,685,26,711,737,676,641,545,414,187,601,16,617,633,478,339,45,384,429,41,470,511,209,720,157,105,262,367,629,224,81,305,386,691,305,224,529,753,510,491,229,720,177,125,302,427,729,384,341,725,294,247,541,16,557,573,358,159,517,676,421,325,746,299,273,572,73,645,718,591,537,356,121,477,598,303,129,432,561,221,10,231,241,472,713,413,354,767,349,344,693,265,186,451,637,316,181,497,678,403,309,712,249,189,438,627,293,148,441,589,258,75,333,408,741,377,346,723,297,248,545,21,566,587,381,196,577,1,578,579,385,192,577,769,574,571,373,172,545,717,490,435,153,588,741,557,526,311,65,376,441,45,486,531,245,4,249,253,502,755,485,468,181,649,58,707,765,700,693,621,542,391,161,552,713,493,434,155,589,744,561,533,322,83,405,488,121,609,730,567,525,320,73,393,466,87,553,640,421,289,710,227,165,392,557,177,734,139,101,240,341,581,150,731,109,68,177,245,422,667,317,212,529,741,498,467,193,660,81,741,50,19,69,88,157,245,402,647,277,152,429,581,238,47,285,332,617,177,22,199,221,420,641,289,158,447,605,280,113,393,506,127,633,760,621,609,458,295,753,276,257,533,18,551,569,348,145,493,638,359,225,584,37,621,658,507,393,128,521,649,398,275,673,176,77,253,330,583,141,724,93,45,138,183,321,504,53,557,610,395,233,628,89,717,34,751,13,764,5,769,2,771,1],"display_values":[772,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,215,53,268,321,589,138,727,93,48,141,189,330,519,77,596,673,497,398,123,521,644,393,265,658,151,37,188,225,413,638,279,145,424,569,221,18,239,257,496,753,477,458,163,621,12,633,645,506,379,113,492,605,325,158,483,641,352,221,573,22,595,617,440,285,725,238,191,429,620,277,125,402,527,157,684,69,753,50,31,81,112,193,305,498,31,529,560,317,105,422,527,177,704,109,41,150,191,341,532,101,633,734,595,557,380,165,545,710,483,421,132,553,685,466,379,73,452,525,205,730,163,121,284,405,689,322,239,561,28,589,617,434,279,713,220,161,381,542,151,693,72,765,65,58,123,181,304,485,17,502,519,249,768,245,241,486,727,441,396,65,461,526,215,741,184,153,337,490,55,545,600,373,201,574,3,577,580,385,193,578,771,577,576,381,185,566,751,545,524,297,49,346,395,741,364,333,697,258,183,441,624,293,145,438,583,249,60,309,369,678,275,181,456,637,321,186,507,693,428,349,5,354,359,713,300,241,541,10,551,561,340,129,469,598,295,121,416,537,181,718,127,73,200,273,473,746,447,421,96,517,613,358,199,557,756,541,525,294,47,341,388,729,345,302,647,177,52,229,281,510,19,529,548,305,81,386,467,81,548,629,405,262,667,157,52,209,261,470,731,429,388,45,433,478,139,617,756,601,585,414,227,641,96,737,61,26,87,113,200,313,513,54,567,621,416,265,681,174,83,257,340,597,165,762,155,145,300,445,745,418,391,37,428,465,121,586,707,521,456,205,661,94,755,77,60,137,197,334,531,93,624,717,569,514,311,53,364,417,9,426,435,89,524,613,365,206,571,5,576,581,385,194,579,1,580,581,389,198,587,13,600,613,441,282,723,233,184,417,601,246,75,321,396,717,341,286,627,141,768,137,133,270,403,673,304,205,509,714,451,393,72,465,537,230,767,225,220,445,665,338,231,569,28,597,625,450,303,753,284,265,549,42,591,633,452,313,765,306,299,605,132,737,97,62,159,221,380,601,209,38,247,285,532,45,577,622,427,277,704,209,141,350,491,69,560,629,417,274,691,193,112,305,417,722,367,317,684,229,141,370,511,109,620,729,577,534,339,101,440,541,209,750,187,165,352,517,97,614,711,553,492,273,765,266,259,525,12,537,549,314,91,405,496,129,625,754,607,589,424,241,665,134,27,161,188,349,537,114,651,765,644,637,509,374,111,485,596,309,133,442,575,245,48,293,341,634,203,65,268,333,601,162,763,153,144,297,441,738,407,373,8,381,389,770,387,385,772,385,385,770,383,381,764,373,365,738,331,297,628,153,9,162,171,333,504,65,569,634,431,293,724,245,197,442,639,309,176,485,661,374,263,637,128,765,121,114,235,349,584,161,745,134,107,241,348,589,165,754,147,129,276,405,681,314,223,537,760,525,513,266,7,273,280,553,61,614,675,517,420,165,585,750,563,541,332,101,433,534,195,729,152,109,261,370,631,229,88,317,405,722,355,305,660,193,81,274,355,629,212,69,281,350,631,209,68,277,345,622,195,45,240,285,525,38,563,601,392,221,613,62,675,737,640,605,473,306,7,313,320,633,181,42,223,265,488,753,469,450,147,597,744,569,541,338,107,445,552,225,5,230,235,465,700,393,321,714,263,205,468,673,369,270,639,137,4,141,145,286,431,717,376,321,697,246,171,417,588,233,49,282,331,613,172,13,185,198,383,581,192,1,193,194,387,581,196,5,201,206,407,613,248,89,337,426,763,417,408,53,461,514,203,717,148,93,241,334,575,137,712,77,17,94,111,205,316,521,65,586,651,465,344,37,381,418,27,445,472,145,617,762,607,597,432,257,689,174,91,265,356,621,205,54,259,313,572,113,685,26,711,737,676,641,545,414,187,601,16,617,633,478,339,45,384,429,41,470,511,209,720,157,105,262,367,629,224,81,305,386,691,305,224,529,753,510,491,229,720,177,125,302,427,729,384,341,725,294,247,541,16,557,573,358,159,517,676,421,325,746,299,273,572,73,645,718,591,537,356,121,477,598,303,129,432,561,221,10,231,241,472,713,413,354,767,349,344,693,265,186,451,637,316,181,497,678,403,309,712,249,189,438,627,293,148,441,589,258,75,333,408,741,377,346,723,297,248,545,21,566,587,381,196,577,1,578,579,385,192,577,769,574,571,373,172,545,717,490,435,153,588,741,557,526,311,65,376,441,45,486,531,245,4,249,253,502,755,485,468,181,649,58,707,765,700,693,621,542,391,161,552,713,493,434,155,589,744,561,533,322,83,405,488,121,609,730,567,525,320,73,393,466,87,553,640,421,289,710,227,165,392,557,177,734,139,101,240,341,581,150,731,109,68,177,245,422,667,317,212,529,741,498,467,193,660,81,741,50,19,69,88,157,245,402,647,277,152,429,581,238,47,285,332,617,177,22,199,221,420,641,289,158,447,605,280,113,393,506,127,633,760,621,609,458,295,753,276,257,533,18,551,569,348,145,493,638,359,225,584,37,621,658,507,393,128,521,649,398,275,673,176,77,253,330,583,141,724,93,45,138,183,321,504,53,557,610,395,233,628,89,717,34,751,13,764,5,769,2,771,1]},"gamma":{"alpha_indices":[0,4,8,12,19,21,23,24,25,26,27,28,34,37,43,46,51,55,56,59,60,61,62,66,70,74,79,83,87,90,91,92,95,99,104,107,111,116,121,124,126,133,139,143,148,152,155,156,157,160,166,167,168,171,173,174,179,181,186,188,190,196,198,199,205,209,211,213,214,215,216,219,221,222,223,224,225,228,230,231,232,233,237,240,245,247,253,259,262,264,270,272,273,277,278,281,285,290,293,296,302,305,307,312,314,315,318,322,326,327,328,329,332,333,337,338,339,342,349,354,360,364,365,366,367,373,374,375,376,384,388,393,396,398,399,400,403,405,406,407,408,409,412,413,414,417,423,425,426,427,428,431,436,439,441,442,443,446,447,448,449,452,453,456,460,467,469,476,479,482,488,492,494,499,501,502,507,509,514,516,517,518,521,522,523,524,527,529,538,542,543,544,545,550,553,558,565,567,569,570,571,572,573,577,580,582,587,591,593,595,596,597,598,599,600,610,611,619,621,630,632,634,635,636,637,638,641,643,644,647,652,654,655,656,657,663,664,665,668,674,678,680,685,692,694,695,696,697,698,706,711,715,717,721,723,724,725,726,732,733,737,739,740,741,744,746,747,748,751,755,757,759,760,761,762,765,771,774,778,782,789,791,792,797,799,808,814,815,818,820,825,827,828,831,835,837,844,849,854,856,857,858,859,864,866,871,878,879,882,883,887,888,891,896,898,905,908,910,911,914,916,917,918,919,922,927,931,933,939,941,943,944,945,946,949,951,952,953,954,955,958,959,962,965,970,972,980,982,983,984,985,991,992,993,994,997,1002,1007,1009,1010,1014,1020,1021,1025,1028,1030,1031,1034,1036,1043,1046,1050,1053,1057,1064,1065,1068,1069,1070,1073,1077,1081,1085,1088,1092,1096,1100,1103,1105,1106,1109,1110,1113,1116,1121,1124,1126,1127,1137,1139,1141,1142,1143,1144,1145,1146,1154,1162],"clock_positions":[1164,4,8,12,19,21,23,24,25,26,27,28,34,37,43,46,51,55,56,59,60,61,62,66,70,74,79,83,87,90,91,92,95,99,104,107,111,116,121,124,126,133,139,143,148,152,155,156,157,160,166,167,168,171,173,174,179,181,186,188,190,196,198,199,205,209,211,213,214,215,216,219,221,222,223,224,225,228,230,231,232,233,237,240,245,247,253,259,262,264,270,272,273,277,278,281,285,290,293,296,302,305,307,312,314,315,318,322,326,327,328,329,332,333,337,338,339,342,349,354,360,364,365,366,367,373,374,375,376,384,388,393,396,398,399,400,403,405,406,407,408,409,412,413,414,417,423,425,426,427,428,431,436,439,441,442,443,446,447,448,449,452,453,456,460,467,469,476,479,482,488,492,494,499,501,502,507,509,514,516,517,518,521,522,523,524,527,529,538,542,543,544,545,550,553,558,565,567,569,570,571,572,573,577,580,582,587,591,593,595,596,597,598,599,600,610,611,619,621,630,632,634,635,636,637,638,641,643,644,647,652,654,655,656,657,663,664,665,668,674,678,680,685,692,694,695,696,697,698,706,711,715,717,721,723,724,725,726,732,733,737,739,740,741,744,746,747,748,751,755,757,759,760,761,762,765,771,774,778,782,789,791,792,797,799,808,814,815,818,820,825,827,828,831,835,837,844,849,854,856,857,858,859,864,866,871,878,879,882,883,887,888,891,896,898,905,908,910,911,914,916,917,918,919,922,927,931,933,939,941,943,944,945,946,949,951,952,953,954,955,958,959,962,965,970,972,980,982,983,984,985,991,992,993,994,997,1002,1007,1009,1010,1014,1020,1021,1025,1028,1030,1031,1034,1036,1043,1046,1050,1053,1057,1064,1065,1068,1069,1070,1073,1077,1081,1085,1088,1092,1096,1100,1103,1105,1106,1109,1110,1113,1116,1121,1124,1126,1127,1137,1139,1141,1142,1143,1144,1145,1146,1154,1162],"clockwise_values":[772,3,21,144,321,138,93,48,141,189,330,519,123,393,225,279,18,753,477,621,12,633,645,492,483,573,285,429,402,684,69,753,81,498,105,177,150,633,165,483,132,525,405,561,279,381,693,72,765,123,519,249,768,486,441,396,741,153,600,201,3,771,576,381,297,741,333,258,183,441,624,438,249,60,309,369,678,456,321,186,507,693,354,300,561,129,537,273,447,96,756,525,294,729,345,177,510,81,81,405,261,429,45,756,585,414,96,87,513,54,567,621,681,174,597,165,762,300,465,456,60,531,93,624,717,417,9,426,435,576,579,198,600,441,282,723,417,246,75,321,396,717,627,141,768,270,714,393,72,465,537,225,231,597,450,303,753,549,42,591,633,765,306,132,159,285,45,141,69,417,417,684,141,729,534,339,750,165,711,492,273,765,525,12,537,549,405,129,27,537,114,651,765,111,309,48,333,162,153,144,297,441,738,381,387,772,381,738,297,153,9,162,171,333,504,639,309,765,114,348,165,147,129,276,405,681,537,525,513,273,675,420,165,585,750,534,195,729,261,405,660,81,69,345,195,45,240,285,525,675,306,633,42,753,450,147,597,744,552,225,465,393,321,714,468,369,270,639,141,717,321,246,171,417,588,282,198,192,387,201,426,417,408,717,93,111,651,465,381,27,762,597,432,174,621,54,711,414,633,339,45,384,429,720,105,81,753,510,720,177,729,384,294,573,159,273,645,591,537,477,303,129,432,561,231,354,693,186,678,309,249,189,438,627,441,258,75,333,408,741,723,297,21,381,579,192,717,435,153,588,741,441,45,486,531,249,468,765,693,621,552,744,561,405,609,567,525,393,87,165,177,240,150,177,741,498,660,81,741,69,402,429,285,177,420,447,393,633,621,609,753,276,18,348,225,621,507,393,330,141,93,45,138,183,321,504,717,771],"triangle_paths":[[21,409,797,21],[51,439,827,51],[55,443,831,55],[59,447,835,59],[61,449,837,61],[111,499,887,111],[155,543,931,155],[157,545,933,157],[179,567,955,179],[209,597,985,209],[231,619,1007,231],[233,621,1009,233],[277,665,1053,277],[327,715,1103,327],[329,717,1105,329],[333,721,1109,333],[337,725,1113,337],[367,755,1143,367]]},"beta":{"interval_sums":[4,26,178,1756,589,727,0,0,0,0,0,2241,1165,1299,1051,1359,992,0,621,0,0,0,998,1088,1214,1674,1154,1022,684,0,0,81,610,1437,949,854,1165,2266,1255,421,2608,1503,1250,1668,1094,693,0,0,123,1489,0,0,486,727,0,1267,184,1427,373,574,2313,577,0,2571,790,364,697,0,0,0,438,583,0,0,0,0,456,637,0,0,0,782,1072,1343,340,1899,1299,1219,421,2244,541,0,776,0,949,562,1401,853,1177,1347,1201,388,1667,601,0,868,824,626,0,0,0,681,0,680,0,0,300,2464,1935,1792,668,0,0,0,1811,0,0,0,2373,1160,1551,600,613,0,0,417,601,0,0,0,0,627,0,0,270,2094,451,0,0,0,997,1668,597,625,0,0,549,0,0,0,765,0,904,896,1696,532,2816,841,1189,1575,1406,229,1610,577,0,1291,187,1580,553,0,0,525,0,0,0,405,496,4039,698,0,0,0,2164,1081,1395,1804,601,763,0,0,0,0,788,1159,385,1923,1502,331,628,0,0,0,0,0,3600,0,2724,121,2556,589,754,0,0,0,0,537,760,0,273,1508,517,0,0,0,1970,0,0,261,1635,1382,193,1470,1816,622,0,0,0,0,2490,2455,640,181,976,469,0,0,0,2000,0,470,700,0,0,468,673,0,0,141,862,376,697,0,0,0,282,1314,964,388,782,1900,763,0,1231,148,2187,1693,0,381,418,1679,607,0,946,712,205,1968,2599,1421,478,0,0,0,1231,157,1482,2440,0,720,0,854,0,1066,1361,358,2984,645,718,0,477,598,0,0,0,231,1839,1460,265,2082,403,712,0,0,0,441,589,0,0,0,0,723,0,793,1153,1352,385,3581,490,0,0,0,1835,0,0,0,249,1995,1595,700,0,1094,2384,0,938,609,730,0,393,466,2840,949,974,922,908,2392,0,660,0,0,69,490,1076,866,949,442,1088,998,633,760,0,753,0,790,1120,1635,621,658,0,3150,583,724,0,0,0,0,0,2565,2338,1],"interval_residues":[4,26,178,212,589,727,0,0,0,0,0,697,393,527,279,587,220,0,621,0,0,0,226,316,442,130,382,250,684,0,0,81,610,665,177,82,393,722,483,421,292,731,478,124,322,693,0,0,123,717,0,0,486,727,0,495,184,655,373,574,769,577,0,255,18,364,697,0,0,0,438,583,0,0,0,0,456,637,0,0,0,10,300,571,340,355,527,447,421,700,541,0,4,0,177,562,629,81,405,575,429,388,123,601,0,96,52,626,0,0,0,681,0,680,0,0,300,148,391,248,668,0,0,0,267,0,0,0,57,388,7,600,613,0,0,417,601,0,0,0,0,627,0,0,270,550,451,0,0,0,225,124,597,625,0,0,549,0,0,0,765,0,132,124,152,532,500,69,417,31,634,229,66,577,0,519,187,36,553,0,0,525,0,0,0,405,496,179,698,0,0,0,620,309,623,260,601,763,0,0,0,0,16,387,385,379,730,331,628,0,0,0,0,0,512,0,408,121,240,589,754,0,0,0,0,537,760,0,273,736,517,0,0,0,426,0,0,261,91,610,193,698,272,622,0,0,0,0,174,139,640,181,204,469,0,0,0,456,0,470,700,0,0,468,673,0,0,141,90,376,697,0,0,0,282,542,192,388,10,356,763,0,459,148,643,149,0,381,418,135,607,0,174,712,205,424,283,649,478,0,0,0,459,157,710,124,0,720,0,82,0,294,589,358,668,645,718,0,477,598,0,0,0,231,295,688,265,538,403,712,0,0,0,441,589,0,0,0,0,723,0,21,381,580,385,493,490,0,0,0,291,0,0,0,249,451,51,700,0,322,68,0,166,609,730,0,393,466,524,177,202,150,136,76,0,660,0,0,69,490,304,94,177,442,316,226,633,760,0,753,0,18,348,91,621,658,0,62,583,724,0,0,0,0,0,249,22,1],"display_cycle":[4,26,178,212,589,727,772,772,772,772,772,697,393,527,279,587,220,772,621,772,772,772,226,316,442,130,382,250,684,772,772,81,610,665,177,82,393,722,483,421,292,731,478,124,322,693,772,772,123,717,772,772,486,727,772,495,184,655,373,574,769,577,772,255,18,364,697,772,772,772,438,583,772,772,772,772,456,637,772,772,772,10,300,571,340,355,527,447,421,700,541,772,4,772,177,562,629,81,405,575,429,388,123,601,772,96,52,626,772,772,772,681,772,680,772,772,300,148,391,248,668,772,772,772,267,772,772,772,57,388,7,600,613,772,772,417,601,772,772,772,772,627,772,772,270,550,451,772,772,772,225,124,597,625,772,772,549,772,772,772,765,772,132,124,152,532,500,69,417,31,634,229,66,577,772,519,187,36,553,772,772,525,772,772,772,405,496,179,698,772,772,772,620,309,623,260,601,763,772,772,772,772,16,387,385,379,730,331,628,772,772,772,772,772,512,772,408,121,240,589,754,772,772,772,772,537,760,772,273,736,517,772,772,772,426,772,772,261,91,610,193,698,272,622,772,772,772,772,174,139,640,181,204,469,772,772,772,456,772,470,700,772,772,468,673,772,772,141,90,376,697,772,772,772,282,542,192,388,10,356,763,772,459,148,643,149,772,381,418,135,607,772,174,712,205,424,283,649,478,772,772,772,459,157,710,124,772,720,772,82,772,294,589,358,668,645,718,772,477,598,772,772,772,231,295,688,265,538,403,712,772,772,772,441,589,772,772,772,772,723,772,21,381,580,385,493,490,772,772,772,291,772,772,772,249,451,51,700,772,322,68,772,166,609,730,772,393,466,524,177,202,150,136,76,772,660,772,772,69,490,304,94,177,442,316,226,633,760,772,753,772,18,348,91,621,658,772,62,583,724,772,772,772,772,772,249,22,1],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":19,"interior_indices":[13,14,15,16,17,18],"interior_values":[233,377,610,215,53,268],"sum":1756,"residue":212},{"from_index":19,"to_index":21,"interior_indices":[20],"interior_values":[589],"sum":589,"residue":589},{"from_index":21,"to_index":23,"interior_indices":[22],"interior_values":[727],"sum":727,"residue":727},{"from_index":23,"to_index":24,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":24,"to_index":25,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":25,"to_index":26,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":26,"to_index":27,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":27,"to_index":28,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":28,"to_index":34,"interior_indices":[29,30,31,32,33],"interior_values":[77,596,673,497,398],"sum":2241,"residue":697},{"from_index":34,"to_index":37,"interior_indices":[35,36],"interior_values":[521,644],"sum":1165,"residue":393},{"from_index":37,"to_index":43,"interior_indices":[38,39,40,41,42],"interior_values":[265,658,151,37,188],"sum":1299,"residue":527},{"from_index":43,"to_index":46,"interior_indices":[44,45],"interior_values":[413,638],"sum":1051,"residue":279},{"from_index":46,"to_index":51,"interior_indices":[47,48,49,50],"interior_values":[145,424,569,221],"sum":1359,"residue":587},{"from_index":51,"to_index":55,"interior_indices":[52,53,54],"interior_values":[239,257,496],"sum":992,"residue":220},{"from_index":55,"to_index":56,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":56,"to_index":59,"interior_indices":[57,58],"interior_values":[458,163],"sum":621,"residue":621},{"from_index":59,"to_index":60,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":60,"to_index":61,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":61,"to_index":62,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":62,"to_index":66,"interior_indices":[63,64,65],"interior_values":[506,379,113],"sum":998,"residue":226},{"from_index":66,"to_index":70,"interior_indices":[67,68,69],"interior_values":[605,325,158],"sum":1088,"residue":316},{"from_index":70,"to_index":74,"interior_indices":[71,72,73],"interior_values":[641,352,221],"sum":1214,"residue":442},{"from_index":74,"to_index":79,"interior_indices":[75,76,77,78],"interior_values":[22,595,617,440],"sum":1674,"residue":130},{"from_index":79,"to_index":83,"interior_indices":[80,81,82],"interior_values":[725,238,191],"sum":1154,"residue":382},{"from_index":83,"to_index":87,"interior_indices":[84,85,86],"interior_values":[620,277,125],"sum":1022,"residue":250},{"from_index":87,"to_index":90,"interior_indices":[88,89],"interior_values":[527,157],"sum":684,"residue":684},{"from_index":90,"to_index":91,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":91,"to_index":92,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":92,"to_index":95,"interior_indices":[93,94],"interior_values":[50,31],"sum":81,"residue":81},{"from_index":95,"to_index":99,"interior_indices":[96,97,98],"interior_values":[112,193,305],"sum":610,"residue":610},{"from_index":99,"to_index":104,"interior_indices":[100,101,102,103],"interior_values":[31,529,560,317],"sum":1437,"residue":665},{"from_index":104,"to_index":107,"interior_indices":[105,106],"interior_values":[422,527],"sum":949,"residue":177},{"from_index":107,"to_index":111,"interior_indices":[108,109,110],"interior_values":[704,109,41],"sum":854,"residue":82},{"from_index":111,"to_index":116,"interior_indices":[112,113,114,115],"interior_values":[191,341,532,101],"sum":1165,"residue":393},{"from_index":116,"to_index":121,"interior_indices":[117,118,119,120],"interior_values":[734,595,557,380],"sum":2266,"residue":722},{"from_index":121,"to_index":124,"interior_indices":[122,123],"interior_values":[545,710],"sum":1255,"residue":483},{"from_index":124,"to_index":126,"interior_indices":[125],"interior_values":[421],"sum":421,"residue":421},{"from_index":126,"to_index":133,"interior_indices":[127,128,129,130,131,132],"interior_values":[553,685,466,379,73,452],"sum":2608,"residue":292},{"from_index":133,"to_index":139,"interior_indices":[134,135,136,137,138],"interior_values":[205,730,163,121,284],"sum":1503,"residue":731},{"from_index":139,"to_index":143,"interior_indices":[140,141,142],"interior_values":[689,322,239],"sum":1250,"residue":478},{"from_index":143,"to_index":148,"interior_indices":[144,145,146,147],"interior_values":[28,589,617,434],"sum":1668,"residue":124},{"from_index":148,"to_index":152,"interior_indices":[149,150,151],"interior_values":[713,220,161],"sum":1094,"residue":322},{"from_index":152,"to_index":155,"interior_indices":[153,154],"interior_values":[542,151],"sum":693,"residue":693},{"from_index":155,"to_index":156,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":156,"to_index":157,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":157,"to_index":160,"interior_indices":[158,159],"interior_values":[65,58],"sum":123,"residue":123},{"from_index":160,"to_index":166,"interior_indices":[161,162,163,164,165],"interior_values":[181,304,485,17,502],"sum":1489,"residue":717},{"from_index":166,"to_index":167,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":167,"to_index":168,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":168,"to_index":171,"interior_indices":[169,170],"interior_values":[245,241],"sum":486,"residue":486},{"from_index":171,"to_index":173,"interior_indices":[172],"interior_values":[727],"sum":727,"residue":727},{"from_index":173,"to_index":174,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":174,"to_index":179,"interior_indices":[175,176,177,178],"interior_values":[65,461,526,215],"sum":1267,"residue":495},{"from_index":179,"to_index":181,"interior_indices":[180],"interior_values":[184],"sum":184,"residue":184},{"from_index":181,"to_index":186,"interior_indices":[182,183,184,185],"interior_values":[337,490,55,545],"sum":1427,"residue":655},{"from_index":186,"to_index":188,"interior_indices":[187],"interior_values":[373],"sum":373,"residue":373},{"from_index":188,"to_index":190,"interior_indices":[189],"interior_values":[574],"sum":574,"residue":574},{"from_index":190,"to_index":196,"interior_indices":[191,192,193,194,195],"interior_values":[577,580,385,193,578],"sum":2313,"residue":769},{"from_index":196,"to_index":198,"interior_indices":[197],"interior_values":[577],"sum":577,"residue":577},{"from_index":198,"to_index":199,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":199,"to_index":205,"interior_indices":[200,201,202,203,204],"interior_values":[185,566,751,545,524],"sum":2571,"residue":255},{"from_index":205,"to_index":209,"interior_indices":[206,207,208],"interior_values":[49,346,395],"sum":790,"residue":18},{"from_index":209,"to_index":211,"interior_indices":[210],"interior_values":[364],"sum":364,"residue":364},{"from_index":211,"to_index":213,"interior_indices":[212],"interior_values":[697],"sum":697,"residue":697},{"from_index":213,"to_index":214,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":214,"to_index":215,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":215,"to_index":216,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":216,"to_index":219,"interior_indices":[217,218],"interior_values":[293,145],"sum":438,"residue":438},{"from_index":219,"to_index":221,"interior_indices":[220],"interior_values":[583],"sum":583,"residue":583},{"from_index":221,"to_index":222,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":222,"to_index":223,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":223,"to_index":224,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":224,"to_index":225,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":225,"to_index":228,"interior_indices":[226,227],"interior_values":[275,181],"sum":456,"residue":456},{"from_index":228,"to_index":230,"interior_indices":[229],"interior_values":[637],"sum":637,"residue":637},{"from_index":230,"to_index":231,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":231,"to_index":232,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":232,"to_index":233,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":233,"to_index":237,"interior_indices":[234,235,236],"interior_values":[428,349,5],"sum":782,"residue":10},{"from_index":237,"to_index":240,"interior_indices":[238,239],"interior_values":[359,713],"sum":1072,"residue":300},{"from_index":240,"to_index":245,"interior_indices":[241,242,243,244],"interior_values":[241,541,10,551],"sum":1343,"residue":571},{"from_index":245,"to_index":247,"interior_indices":[246],"interior_values":[340],"sum":340,"residue":340},{"from_index":247,"to_index":253,"interior_indices":[248,249,250,251,252],"interior_values":[469,598,295,121,416],"sum":1899,"residue":355},{"from_index":253,"to_index":259,"interior_indices":[254,255,256,257,258],"interior_values":[181,718,127,73,200],"sum":1299,"residue":527},{"from_index":259,"to_index":262,"interior_indices":[260,261],"interior_values":[473,746],"sum":1219,"residue":447},{"from_index":262,"to_index":264,"interior_indices":[263],"interior_values":[421],"sum":421,"residue":421},{"from_index":264,"to_index":270,"interior_indices":[265,266,267,268,269],"interior_values":[517,613,358,199,557],"sum":2244,"residue":700},{"from_index":270,"to_index":272,"interior_indices":[271],"interior_values":[541],"sum":541,"residue":541},{"from_index":272,"to_index":273,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":273,"to_index":277,"interior_indices":[274,275,276],"interior_values":[47,341,388],"sum":776,"residue":4},{"from_index":277,"to_index":278,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":278,"to_index":281,"interior_indices":[279,280],"interior_values":[302,647],"sum":949,"residue":177},{"from_index":281,"to_index":285,"interior_indices":[282,283,284],"interior_values":[52,229,281],"sum":562,"residue":562},{"from_index":285,"to_index":290,"interior_indices":[286,287,288,289],"interior_values":[19,529,548,305],"sum":1401,"residue":629},{"from_index":290,"to_index":293,"interior_indices":[291,292],"interior_values":[386,467],"sum":853,"residue":81},{"from_index":293,"to_index":296,"interior_indices":[294,295],"interior_values":[548,629],"sum":1177,"residue":405},{"from_index":296,"to_index":302,"interior_indices":[297,298,299,300,301],"interior_values":[262,667,157,52,209],"sum":1347,"residue":575},{"from_index":302,"to_index":305,"interior_indices":[303,304],"interior_values":[470,731],"sum":1201,"residue":429},{"from_index":305,"to_index":307,"interior_indices":[306],"interior_values":[388],"sum":388,"residue":388},{"from_index":307,"to_index":312,"interior_indices":[308,309,310,311],"interior_values":[433,478,139,617],"sum":1667,"residue":123},{"from_index":312,"to_index":314,"interior_indices":[313],"interior_values":[601],"sum":601,"residue":601},{"from_index":314,"to_index":315,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":315,"to_index":318,"interior_indices":[316,317],"interior_values":[227,641],"sum":868,"residue":96},{"from_index":318,"to_index":322,"interior_indices":[319,320,321],"interior_values":[737,61,26],"sum":824,"residue":52},{"from_index":322,"to_index":326,"interior_indices":[323,324,325],"interior_values":[113,200,313],"sum":626,"residue":626},{"from_index":326,"to_index":327,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":327,"to_index":328,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":328,"to_index":329,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":329,"to_index":332,"interior_indices":[330,331],"interior_values":[416,265],"sum":681,"residue":681},{"from_index":332,"to_index":333,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":333,"to_index":337,"interior_indices":[334,335,336],"interior_values":[83,257,340],"sum":680,"residue":680},{"from_index":337,"to_index":338,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":338,"to_index":339,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":339,"to_index":342,"interior_indices":[340,341],"interior_values":[155,145],"sum":300,"residue":300},{"from_index":342,"to_index":349,"interior_indices":[343,344,345,346,347,348],"interior_values":[445,745,418,391,37,428],"sum":2464,"residue":148},{"from_index":349,"to_index":354,"interior_indices":[350,351,352,353],"interior_values":[121,586,707,521],"sum":1935,"residue":391},{"from_index":354,"to_index":360,"interior_indices":[355,356,357,358,359],"interior_values":[205,661,94,755,77],"sum":1792,"residue":248},{"from_index":360,"to_index":364,"interior_indices":[361,362,363],"interior_values":[137,197,334],"sum":668,"residue":668},{"from_index":364,"to_index":365,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":365,"to_index":366,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":366,"to_index":367,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":367,"to_index":373,"interior_indices":[368,369,370,371,372],"interior_values":[569,514,311,53,364],"sum":1811,"residue":267},{"from_index":373,"to_index":374,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":374,"to_index":375,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":375,"to_index":376,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":376,"to_index":384,"interior_indices":[377,378,379,380,381,382,383],"interior_values":[89,524,613,365,206,571,5],"sum":2373,"residue":57},{"from_index":384,"to_index":388,"interior_indices":[385,386,387],"interior_values":[581,385,194],"sum":1160,"residue":388},{"from_index":388,"to_index":393,"interior_indices":[389,390,391,392],"interior_values":[1,580,581,389],"sum":1551,"residue":7},{"from_index":393,"to_index":396,"interior_indices":[394,395],"interior_values":[587,13],"sum":600,"residue":600},{"from_index":396,"to_index":398,"interior_indices":[397],"interior_values":[613],"sum":613,"residue":613},{"from_index":398,"to_index":399,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":399,"to_index":400,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":400,"to_index":403,"interior_indices":[401,402],"interior_values":[233,184],"sum":417,"residue":417},{"from_index":403,"to_index":405,"interior_indices":[404],"interior_values":[601],"sum":601,"residue":601},{"from_index":405,"to_index":406,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":406,"to_index":407,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":407,"to_index":408,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":408,"to_index":409,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":409,"to_index":412,"interior_indices":[410,411],"interior_values":[341,286],"sum":627,"residue":627},{"from_index":412,"to_index":413,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":413,"to_index":414,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":414,"to_index":417,"interior_indices":[415,416],"interior_values":[137,133],"sum":270,"residue":270},{"from_index":417,"to_index":423,"interior_indices":[418,419,420,421,422],"interior_values":[403,673,304,205,509],"sum":2094,"residue":550},{"from_index":423,"to_index":425,"interior_indices":[424],"interior_values":[451],"sum":451,"residue":451},{"from_index":425,"to_index":426,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":426,"to_index":427,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":427,"to_index":428,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":428,"to_index":431,"interior_indices":[429,430],"interior_values":[230,767],"sum":997,"residue":225},{"from_index":431,"to_index":436,"interior_indices":[432,433,434,435],"interior_values":[220,445,665,338],"sum":1668,"residue":124},{"from_index":436,"to_index":439,"interior_indices":[437,438],"interior_values":[569,28],"sum":597,"residue":597},{"from_index":439,"to_index":441,"interior_indices":[440],"interior_values":[625],"sum":625,"residue":625},{"from_index":441,"to_index":442,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":442,"to_index":443,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":443,"to_index":446,"interior_indices":[444,445],"interior_values":[284,265],"sum":549,"residue":549},{"from_index":446,"to_index":447,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":447,"to_index":448,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":448,"to_index":449,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":449,"to_index":452,"interior_indices":[450,451],"interior_values":[452,313],"sum":765,"residue":765},{"from_index":452,"to_index":453,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":453,"to_index":456,"interior_indices":[454,455],"interior_values":[299,605],"sum":904,"residue":132},{"from_index":456,"to_index":460,"interior_indices":[457,458,459],"interior_values":[737,97,62],"sum":896,"residue":124},{"from_index":460,"to_index":467,"interior_indices":[461,462,463,464,465,466],"interior_values":[221,380,601,209,38,247],"sum":1696,"residue":152},{"from_index":467,"to_index":469,"interior_indices":[468],"interior_values":[532],"sum":532,"residue":532},{"from_index":469,"to_index":476,"interior_indices":[470,471,472,473,474,475],"interior_values":[577,622,427,277,704,209],"sum":2816,"residue":500},{"from_index":476,"to_index":479,"interior_indices":[477,478],"interior_values":[350,491],"sum":841,"residue":69},{"from_index":479,"to_index":482,"interior_indices":[480,481],"interior_values":[560,629],"sum":1189,"residue":417},{"from_index":482,"to_index":488,"interior_indices":[483,484,485,486,487],"interior_values":[274,691,193,112,305],"sum":1575,"residue":31},{"from_index":488,"to_index":492,"interior_indices":[489,490,491],"interior_values":[722,367,317],"sum":1406,"residue":634},{"from_index":492,"to_index":494,"interior_indices":[493],"interior_values":[229],"sum":229,"residue":229},{"from_index":494,"to_index":499,"interior_indices":[495,496,497,498],"interior_values":[370,511,109,620],"sum":1610,"residue":66},{"from_index":499,"to_index":501,"interior_indices":[500],"interior_values":[577],"sum":577,"residue":577},{"from_index":501,"to_index":502,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":502,"to_index":507,"interior_indices":[503,504,505,506],"interior_values":[101,440,541,209],"sum":1291,"residue":519},{"from_index":507,"to_index":509,"interior_indices":[508],"interior_values":[187],"sum":187,"residue":187},{"from_index":509,"to_index":514,"interior_indices":[510,511,512,513],"interior_values":[352,517,97,614],"sum":1580,"residue":36},{"from_index":514,"to_index":516,"interior_indices":[515],"interior_values":[553],"sum":553,"residue":553},{"from_index":516,"to_index":517,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":517,"to_index":518,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":518,"to_index":521,"interior_indices":[519,520],"interior_values":[266,259],"sum":525,"residue":525},{"from_index":521,"to_index":522,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":522,"to_index":523,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":523,"to_index":524,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":524,"to_index":527,"interior_indices":[525,526],"interior_values":[314,91],"sum":405,"residue":405},{"from_index":527,"to_index":529,"interior_indices":[528],"interior_values":[496],"sum":496,"residue":496},{"from_index":529,"to_index":538,"interior_indices":[530,531,532,533,534,535,536,537],"interior_values":[625,754,607,589,424,241,665,134],"sum":4039,"residue":179},{"from_index":538,"to_index":542,"interior_indices":[539,540,541],"interior_values":[161,188,349],"sum":698,"residue":698},{"from_index":542,"to_index":543,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":543,"to_index":544,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":544,"to_index":545,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":545,"to_index":550,"interior_indices":[546,547,548,549],"interior_values":[644,637,509,374],"sum":2164,"residue":620},{"from_index":550,"to_index":553,"interior_indices":[551,552],"interior_values":[485,596],"sum":1081,"residue":309},{"from_index":553,"to_index":558,"interior_indices":[554,555,556,557],"interior_values":[133,442,575,245],"sum":1395,"residue":623},{"from_index":558,"to_index":565,"interior_indices":[559,560,561,562,563,564],"interior_values":[293,341,634,203,65,268],"sum":1804,"residue":260},{"from_index":565,"to_index":567,"interior_indices":[566],"interior_values":[601],"sum":601,"residue":601},{"from_index":567,"to_index":569,"interior_indices":[568],"interior_values":[763],"sum":763,"residue":763},{"from_index":569,"to_index":570,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":570,"to_index":571,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":571,"to_index":572,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":572,"to_index":573,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":573,"to_index":577,"interior_indices":[574,575,576],"interior_values":[407,373,8],"sum":788,"residue":16},{"from_index":577,"to_index":580,"interior_indices":[578,579],"interior_values":[389,770],"sum":1159,"residue":387},{"from_index":580,"to_index":582,"interior_indices":[581],"interior_values":[385],"sum":385,"residue":385},{"from_index":582,"to_index":587,"interior_indices":[583,584,585,586],"interior_values":[385,385,770,383],"sum":1923,"residue":379},{"from_index":587,"to_index":591,"interior_indices":[588,589,590],"interior_values":[764,373,365],"sum":1502,"residue":730},{"from_index":591,"to_index":593,"interior_indices":[592],"interior_values":[331],"sum":331,"residue":331},{"from_index":593,"to_index":595,"interior_indices":[594],"interior_values":[628],"sum":628,"residue":628},{"from_index":595,"to_index":596,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":596,"to_index":597,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":597,"to_index":598,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":598,"to_index":599,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":599,"to_index":600,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":600,"to_index":610,"interior_indices":[601,602,603,604,605,606,607,608,609],"interior_values":[65,569,634,431,293,724,245,197,442],"sum":3600,"residue":512},{"from_index":610,"to_index":611,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":611,"to_index":619,"interior_indices":[612,613,614,615,616,617,618],"interior_values":[176,485,661,374,263,637,128],"sum":2724,"residue":408},{"from_index":619,"to_index":621,"interior_indices":[620],"interior_values":[121],"sum":121,"residue":121},{"from_index":621,"to_index":630,"interior_indices":[622,623,624,625,626,627,628,629],"interior_values":[235,349,584,161,745,134,107,241],"sum":2556,"residue":240},{"from_index":630,"to_index":632,"interior_indices":[631],"interior_values":[589],"sum":589,"residue":589},{"from_index":632,"to_index":634,"interior_indices":[633],"interior_values":[754],"sum":754,"residue":754},{"from_index":634,"to_index":635,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":635,"to_index":636,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":636,"to_index":637,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":637,"to_index":638,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":638,"to_index":641,"interior_indices":[639,640],"interior_values":[314,223],"sum":537,"residue":537},{"from_index":641,"to_index":643,"interior_indices":[642],"interior_values":[760],"sum":760,"residue":760},{"from_index":643,"to_index":644,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":644,"to_index":647,"interior_indices":[645,646],"interior_values":[266,7],"sum":273,"residue":273},{"from_index":647,"to_index":652,"interior_indices":[648,649,650,651],"interior_values":[280,553,61,614],"sum":1508,"residue":736},{"from_index":652,"to_index":654,"interior_indices":[653],"interior_values":[517],"sum":517,"residue":517},{"from_index":654,"to_index":655,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":655,"to_index":656,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":656,"to_index":657,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":657,"to_index":663,"interior_indices":[658,659,660,661,662],"interior_values":[563,541,332,101,433],"sum":1970,"residue":426},{"from_index":663,"to_index":664,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":664,"to_index":665,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":665,"to_index":668,"interior_indices":[666,667],"interior_values":[152,109],"sum":261,"residue":261},{"from_index":668,"to_index":674,"interior_indices":[669,670,671,672,673],"interior_values":[370,631,229,88,317],"sum":1635,"residue":91},{"from_index":674,"to_index":678,"interior_indices":[675,676,677],"interior_values":[722,355,305],"sum":1382,"residue":610},{"from_index":678,"to_index":680,"interior_indices":[679],"interior_values":[193],"sum":193,"residue":193},{"from_index":680,"to_index":685,"interior_indices":[681,682,683,684],"interior_values":[274,355,629,212],"sum":1470,"residue":698},{"from_index":685,"to_index":692,"interior_indices":[686,687,688,689,690,691],"interior_values":[281,350,631,209,68,277],"sum":1816,"residue":272},{"from_index":692,"to_index":694,"interior_indices":[693],"interior_values":[622],"sum":622,"residue":622},{"from_index":694,"to_index":695,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":695,"to_index":696,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":696,"to_index":697,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":697,"to_index":698,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":698,"to_index":706,"interior_indices":[699,700,701,702,703,704,705],"interior_values":[38,563,601,392,221,613,62],"sum":2490,"residue":174},{"from_index":706,"to_index":711,"interior_indices":[707,708,709,710],"interior_values":[737,640,605,473],"sum":2455,"residue":139},{"from_index":711,"to_index":715,"interior_indices":[712,713,714],"interior_values":[7,313,320],"sum":640,"residue":640},{"from_index":715,"to_index":717,"interior_indices":[716],"interior_values":[181],"sum":181,"residue":181},{"from_index":717,"to_index":721,"interior_indices":[718,719,720],"interior_values":[223,265,488],"sum":976,"residue":204},{"from_index":721,"to_index":723,"interior_indices":[722],"interior_values":[469],"sum":469,"residue":469},{"from_index":723,"to_index":724,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":724,"to_index":725,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":725,"to_index":726,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":726,"to_index":732,"interior_indices":[727,728,729,730,731],"interior_values":[569,541,338,107,445],"sum":2000,"residue":456},{"from_index":732,"to_index":733,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":733,"to_index":737,"interior_indices":[734,735,736],"interior_values":[5,230,235],"sum":470,"residue":470},{"from_index":737,"to_index":739,"interior_indices":[738],"interior_values":[700],"sum":700,"residue":700},{"from_index":739,"to_index":740,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":740,"to_index":741,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":741,"to_index":744,"interior_indices":[742,743],"interior_values":[263,205],"sum":468,"residue":468},{"from_index":744,"to_index":746,"interior_indices":[745],"interior_values":[673],"sum":673,"residue":673},{"from_index":746,"to_index":747,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":747,"to_index":748,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":748,"to_index":751,"interior_indices":[749,750],"interior_values":[137,4],"sum":141,"residue":141},{"from_index":751,"to_index":755,"interior_indices":[752,753,754],"interior_values":[145,286,431],"sum":862,"residue":90},{"from_index":755,"to_index":757,"interior_indices":[756],"interior_values":[376],"sum":376,"residue":376},{"from_index":757,"to_index":759,"interior_indices":[758],"interior_values":[697],"sum":697,"residue":697},{"from_index":759,"to_index":760,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":760,"to_index":761,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":761,"to_index":762,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":762,"to_index":765,"interior_indices":[763,764],"interior_values":[233,49],"sum":282,"residue":282},{"from_index":765,"to_index":771,"interior_indices":[766,767,768,769,770],"interior_values":[331,613,172,13,185],"sum":1314,"residue":542},{"from_index":771,"to_index":774,"interior_indices":[772,773],"interior_values":[383,581],"sum":964,"residue":192},{"from_index":774,"to_index":778,"interior_indices":[775,776,777],"interior_values":[1,193,194],"sum":388,"residue":388},{"from_index":778,"to_index":782,"interior_indices":[779,780,781],"interior_values":[581,196,5],"sum":782,"residue":10},{"from_index":782,"to_index":789,"interior_indices":[783,784,785,786,787,788],"interior_values":[206,407,613,248,89,337],"sum":1900,"residue":356},{"from_index":789,"to_index":791,"interior_indices":[790],"interior_values":[763],"sum":763,"residue":763},{"from_index":791,"to_index":792,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":792,"to_index":797,"interior_indices":[793,794,795,796],"interior_values":[53,461,514,203],"sum":1231,"residue":459},{"from_index":797,"to_index":799,"interior_indices":[798],"interior_values":[148],"sum":148,"residue":148},{"from_index":799,"to_index":808,"interior_indices":[800,801,802,803,804,805,806,807],"interior_values":[241,334,575,137,712,77,17,94],"sum":2187,"residue":643},{"from_index":808,"to_index":814,"interior_indices":[809,810,811,812,813],"interior_values":[205,316,521,65,586],"sum":1693,"residue":149},{"from_index":814,"to_index":815,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":815,"to_index":818,"interior_indices":[816,817],"interior_values":[344,37],"sum":381,"residue":381},{"from_index":818,"to_index":820,"interior_indices":[819],"interior_values":[418],"sum":418,"residue":418},{"from_index":820,"to_index":825,"interior_indices":[821,822,823,824],"interior_values":[445,472,145,617],"sum":1679,"residue":135},{"from_index":825,"to_index":827,"interior_indices":[826],"interior_values":[607],"sum":607,"residue":607},{"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":[257,689],"sum":946,"residue":174},{"from_index":831,"to_index":835,"interior_indices":[832,833,834],"interior_values":[91,265,356],"sum":712,"residue":712},{"from_index":835,"to_index":837,"interior_indices":[836],"interior_values":[205],"sum":205,"residue":205},{"from_index":837,"to_index":844,"interior_indices":[838,839,840,841,842,843],"interior_values":[259,313,572,113,685,26],"sum":1968,"residue":424},{"from_index":844,"to_index":849,"interior_indices":[845,846,847,848],"interior_values":[737,676,641,545],"sum":2599,"residue":283},{"from_index":849,"to_index":854,"interior_indices":[850,851,852,853],"interior_values":[187,601,16,617],"sum":1421,"residue":649},{"from_index":854,"to_index":856,"interior_indices":[855],"interior_values":[478],"sum":478,"residue":478},{"from_index":856,"to_index":857,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":857,"to_index":858,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":858,"to_index":859,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":859,"to_index":864,"interior_indices":[860,861,862,863],"interior_values":[41,470,511,209],"sum":1231,"residue":459},{"from_index":864,"to_index":866,"interior_indices":[865],"interior_values":[157],"sum":157,"residue":157},{"from_index":866,"to_index":871,"interior_indices":[867,868,869,870],"interior_values":[262,367,629,224],"sum":1482,"residue":710},{"from_index":871,"to_index":878,"interior_indices":[872,873,874,875,876,877],"interior_values":[305,386,691,305,224,529],"sum":2440,"residue":124},{"from_index":878,"to_index":879,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":879,"to_index":882,"interior_indices":[880,881],"interior_values":[491,229],"sum":720,"residue":720},{"from_index":882,"to_index":883,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":883,"to_index":887,"interior_indices":[884,885,886],"interior_values":[125,302,427],"sum":854,"residue":82},{"from_index":887,"to_index":888,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":888,"to_index":891,"interior_indices":[889,890],"interior_values":[341,725],"sum":1066,"residue":294},{"from_index":891,"to_index":896,"interior_indices":[892,893,894,895],"interior_values":[247,541,16,557],"sum":1361,"residue":589},{"from_index":896,"to_index":898,"interior_indices":[897],"interior_values":[358],"sum":358,"residue":358},{"from_index":898,"to_index":905,"interior_indices":[899,900,901,902,903,904],"interior_values":[517,676,421,325,746,299],"sum":2984,"residue":668},{"from_index":905,"to_index":908,"interior_indices":[906,907],"interior_values":[572,73],"sum":645,"residue":645},{"from_index":908,"to_index":910,"interior_indices":[909],"interior_values":[718],"sum":718,"residue":718},{"from_index":910,"to_index":911,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":911,"to_index":914,"interior_indices":[912,913],"interior_values":[356,121],"sum":477,"residue":477},{"from_index":914,"to_index":916,"interior_indices":[915],"interior_values":[598],"sum":598,"residue":598},{"from_index":916,"to_index":917,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":917,"to_index":918,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":918,"to_index":919,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":919,"to_index":922,"interior_indices":[920,921],"interior_values":[221,10],"sum":231,"residue":231},{"from_index":922,"to_index":927,"interior_indices":[923,924,925,926],"interior_values":[241,472,713,413],"sum":1839,"residue":295},{"from_index":927,"to_index":931,"interior_indices":[928,929,930],"interior_values":[767,349,344],"sum":1460,"residue":688},{"from_index":931,"to_index":933,"interior_indices":[932],"interior_values":[265],"sum":265,"residue":265},{"from_index":933,"to_index":939,"interior_indices":[934,935,936,937,938],"interior_values":[451,637,316,181,497],"sum":2082,"residue":538},{"from_index":939,"to_index":941,"interior_indices":[940],"interior_values":[403],"sum":403,"residue":403},{"from_index":941,"to_index":943,"interior_indices":[942],"interior_values":[712],"sum":712,"residue":712},{"from_index":943,"to_index":944,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":944,"to_index":945,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":945,"to_index":946,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":946,"to_index":949,"interior_indices":[947,948],"interior_values":[293,148],"sum":441,"residue":441},{"from_index":949,"to_index":951,"interior_indices":[950],"interior_values":[589],"sum":589,"residue":589},{"from_index":951,"to_index":952,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":952,"to_index":953,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":953,"to_index":954,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":954,"to_index":955,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":955,"to_index":958,"interior_indices":[956,957],"interior_values":[377,346],"sum":723,"residue":723},{"from_index":958,"to_index":959,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":959,"to_index":962,"interior_indices":[960,961],"interior_values":[248,545],"sum":793,"residue":21},{"from_index":962,"to_index":965,"interior_indices":[963,964],"interior_values":[566,587],"sum":1153,"residue":381},{"from_index":965,"to_index":970,"interior_indices":[966,967,968,969],"interior_values":[196,577,1,578],"sum":1352,"residue":580},{"from_index":970,"to_index":972,"interior_indices":[971],"interior_values":[385],"sum":385,"residue":385},{"from_index":972,"to_index":980,"interior_indices":[973,974,975,976,977,978,979],"interior_values":[577,769,574,571,373,172,545],"sum":3581,"residue":493},{"from_index":980,"to_index":982,"interior_indices":[981],"interior_values":[490],"sum":490,"residue":490},{"from_index":982,"to_index":983,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":983,"to_index":984,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":984,"to_index":985,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":985,"to_index":991,"interior_indices":[986,987,988,989,990],"interior_values":[557,526,311,65,376],"sum":1835,"residue":291},{"from_index":991,"to_index":992,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":992,"to_index":993,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":993,"to_index":994,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":994,"to_index":997,"interior_indices":[995,996],"interior_values":[245,4],"sum":249,"residue":249},{"from_index":997,"to_index":1002,"interior_indices":[998,999,1000,1001],"interior_values":[253,502,755,485],"sum":1995,"residue":451},{"from_index":1002,"to_index":1007,"interior_indices":[1003,1004,1005,1006],"interior_values":[181,649,58,707],"sum":1595,"residue":51},{"from_index":1007,"to_index":1009,"interior_indices":[1008],"interior_values":[700],"sum":700,"residue":700},{"from_index":1009,"to_index":1010,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1010,"to_index":1014,"interior_indices":[1011,1012,1013],"interior_values":[542,391,161],"sum":1094,"residue":322},{"from_index":1014,"to_index":1020,"interior_indices":[1015,1016,1017,1018,1019],"interior_values":[713,493,434,155,589],"sum":2384,"residue":68},{"from_index":1020,"to_index":1021,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1021,"to_index":1025,"interior_indices":[1022,1023,1024],"interior_values":[533,322,83],"sum":938,"residue":166},{"from_index":1025,"to_index":1028,"interior_indices":[1026,1027],"interior_values":[488,121],"sum":609,"residue":609},{"from_index":1028,"to_index":1030,"interior_indices":[1029],"interior_values":[730],"sum":730,"residue":730},{"from_index":1030,"to_index":1031,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1031,"to_index":1034,"interior_indices":[1032,1033],"interior_values":[320,73],"sum":393,"residue":393},{"from_index":1034,"to_index":1036,"interior_indices":[1035],"interior_values":[466],"sum":466,"residue":466},{"from_index":1036,"to_index":1043,"interior_indices":[1037,1038,1039,1040,1041,1042],"interior_values":[553,640,421,289,710,227],"sum":2840,"residue":524},{"from_index":1043,"to_index":1046,"interior_indices":[1044,1045],"interior_values":[392,557],"sum":949,"residue":177},{"from_index":1046,"to_index":1050,"interior_indices":[1047,1048,1049],"interior_values":[734,139,101],"sum":974,"residue":202},{"from_index":1050,"to_index":1053,"interior_indices":[1051,1052],"interior_values":[341,581],"sum":922,"residue":150},{"from_index":1053,"to_index":1057,"interior_indices":[1054,1055,1056],"interior_values":[731,109,68],"sum":908,"residue":136},{"from_index":1057,"to_index":1064,"interior_indices":[1058,1059,1060,1061,1062,1063],"interior_values":[245,422,667,317,212,529],"sum":2392,"residue":76},{"from_index":1064,"to_index":1065,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1065,"to_index":1068,"interior_indices":[1066,1067],"interior_values":[467,193],"sum":660,"residue":660},{"from_index":1068,"to_index":1069,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1069,"to_index":1070,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1070,"to_index":1073,"interior_indices":[1071,1072],"interior_values":[50,19],"sum":69,"residue":69},{"from_index":1073,"to_index":1077,"interior_indices":[1074,1075,1076],"interior_values":[88,157,245],"sum":490,"residue":490},{"from_index":1077,"to_index":1081,"interior_indices":[1078,1079,1080],"interior_values":[647,277,152],"sum":1076,"residue":304},{"from_index":1081,"to_index":1085,"interior_indices":[1082,1083,1084],"interior_values":[581,238,47],"sum":866,"residue":94},{"from_index":1085,"to_index":1088,"interior_indices":[1086,1087],"interior_values":[332,617],"sum":949,"residue":177},{"from_index":1088,"to_index":1092,"interior_indices":[1089,1090,1091],"interior_values":[22,199,221],"sum":442,"residue":442},{"from_index":1092,"to_index":1096,"interior_indices":[1093,1094,1095],"interior_values":[641,289,158],"sum":1088,"residue":316},{"from_index":1096,"to_index":1100,"interior_indices":[1097,1098,1099],"interior_values":[605,280,113],"sum":998,"residue":226},{"from_index":1100,"to_index":1103,"interior_indices":[1101,1102],"interior_values":[506,127],"sum":633,"residue":633},{"from_index":1103,"to_index":1105,"interior_indices":[1104],"interior_values":[760],"sum":760,"residue":760},{"from_index":1105,"to_index":1106,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1106,"to_index":1109,"interior_indices":[1107,1108],"interior_values":[458,295],"sum":753,"residue":753},{"from_index":1109,"to_index":1110,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1110,"to_index":1113,"interior_indices":[1111,1112],"interior_values":[257,533],"sum":790,"residue":18},{"from_index":1113,"to_index":1116,"interior_indices":[1114,1115],"interior_values":[551,569],"sum":1120,"residue":348},{"from_index":1116,"to_index":1121,"interior_indices":[1117,1118,1119,1120],"interior_values":[145,493,638,359],"sum":1635,"residue":91},{"from_index":1121,"to_index":1124,"interior_indices":[1122,1123],"interior_values":[584,37],"sum":621,"residue":621},{"from_index":1124,"to_index":1126,"interior_indices":[1125],"interior_values":[658],"sum":658,"residue":658},{"from_index":1126,"to_index":1127,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1127,"to_index":1137,"interior_indices":[1128,1129,1130,1131,1132,1133,1134,1135,1136],"interior_values":[128,521,649,398,275,673,176,77,253],"sum":3150,"residue":62},{"from_index":1137,"to_index":1139,"interior_indices":[1138],"interior_values":[583],"sum":583,"residue":583},{"from_index":1139,"to_index":1141,"interior_indices":[1140],"interior_values":[724],"sum":724,"residue":724},{"from_index":1141,"to_index":1142,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1142,"to_index":1143,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1143,"to_index":1144,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1144,"to_index":1145,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1145,"to_index":1146,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1146,"to_index":1154,"interior_indices":[1147,1148,1149,1150,1151,1152,1153],"interior_values":[53,557,610,395,233,628,89],"sum":2565,"residue":249},{"from_index":1154,"to_index":1162,"interior_indices":[1155,1156,1157,1158,1159,1160,1161],"interior_values":[34,751,13,764,5,769,2],"sum":2338,"residue":22},{"from_index":1162,"to_index":0,"interior_indices":[1163],"interior_values":[1],"sum":1,"residue":1}],"minimal_cycle":[4,26,178,212,589,727,0,0,0,0,0,697,393,527,279,587,220,0,621,0,0,0,226,316,442,130,382,250,684,0,0,81,610,665,177,82,393,722,483,421,292,731,478,124,322,693,0,0,123,717,0,0,486,727,0,495,184,655,373,574,769,577,0,255,18,364,697,0,0,0,438,583,0,0,0,0,456,637,0,0,0,10,300,571,340,355,527,447,421,700,541,0,4,0,177,562,629,81,405,575,429,388,123,601,0,96,52,626,0,0,0,681,0,680,0,0,300,148,391,248,668,0,0,0,267,0,0,0,57,388,7,600,613,0,0,417,601,0,0,0,0,627,0,0,270,550,451,0,0,0,225,124,597,625,0,0,549,0,0,0,765,0,132,124,152,532,500,69,417,31,634,229,66,577,0,519,187,36,553,0,0,525,0,0,0,405,496,179,698,0,0,0,620,309,623,260,601,763,0,0,0,0,16,387,385,379,730,331,628,0,0,0,0,0,512,0,408,121,240,589,754,0,0,0,0,537,760,0,273,736,517,0,0,0,426,0,0,261,91,610,193,698,272,622,0,0,0,0,174,139,640,181,204,469,0,0,0,456,0,470,700,0,0,468,673,0,0,141,90,376,697,0,0,0,282,542,192,388,10,356,763,0,459,148,643,149,0,381,418,135,607,0,174,712,205,424,283,649,478,0,0,0,459,157,710,124,0,720,0,82,0,294,589,358,668,645,718,0,477,598,0,0,0,231,295,688,265,538,403,712,0,0,0,441,589,0,0,0,0,723,0,21,381,580,385,493,490,0,0,0,291,0,0,0,249,451,51,700,0,322,68,0,166,609,730,0,393,466,524,177,202,150,136,76,0,660,0,0,69,490,304,94,177,442,316,226,633,760,0,753,0,18,348,91,621,658,0,62,583,724,0,0,0,0,0,249,22,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1164,4],"start_interval_values":[1,1,2],"circle_positions":772,"cycle_length":408,"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":"Present","count":18,"orientation":"6.49485° / 15.7732° / 17.0103° / 18.2474° / 18.866° / 34.3299° / 47.9381° / 48.5567° / 55.3608° / 64.6392° / 71.4433° / 72.0619° / 85.6701° / 101.134° / 101.753° / 102.99° / 104.227° / 113.505°","rotation_degrees":null,"rotations_degrees":[6.494845360824742,15.77319587628866,17.010309278350515,18.24742268041237,18.8659793814433,34.329896907216494,47.93814432989691,48.55670103092783,55.36082474226804,64.63917525773196,71.44329896907216,72.0618556701031,85.6701030927835,101.1340206185567,101.75257731958763,102.98969072164948,104.22680412371135,113.50515463917526],"alpha_paths":[[21,409,797,21],[51,439,827,51],[55,443,831,55],[59,447,835,59],[61,449,837,61],[111,499,887,111],[155,543,931,155],[157,545,933,157],[179,567,955,179],[209,597,985,209],[231,619,1007,231],[233,621,1009,233],[277,665,1053,277],[327,715,1103,327],[329,717,1105,329],[333,721,1109,333],[337,725,1113,337],[367,755,1143,367]]},{"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":"Present","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":[0,388,776],"clock_positions":[1164,388,776],"native_values":[772,579,193],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[772,579,193],"beta":{"interval_sums":[140504,147066,150154],"interval_residues":[0,386,386],"display_cycle":[772,386,386],"intervals":[{"from_index":0,"to_index":388,"sum":140504,"residue":0},{"from_index":388,"to_index":776,"sum":147066,"residue":386},{"from_index":776,"to_index":0,"sum":150154,"residue":386}],"minimal_cycle":[0,386,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":772,"start_interval_clock_positions":[1164,388],"circle_positions":772,"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":[1,389,777],"clock_positions":[1,389,777],"native_values":[1,1,194],"rotation_degrees":0.30927835051546393,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,194],"beta":{"interval_sums":[141082,147258,149960],"interval_residues":[578,578,192],"display_cycle":[578,578,192],"intervals":[{"from_index":1,"to_index":389,"sum":141082,"residue":578},{"from_index":389,"to_index":777,"sum":147258,"residue":578},{"from_index":777,"to_index":1,"sum":149960,"residue":192}],"minimal_cycle":[578,578,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[1,389],"circle_positions":772,"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":[2,390,778],"clock_positions":[2,390,778],"native_values":[1,580,387],"rotation_degrees":0.6185567010309279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,580,387],"beta":{"interval_sums":[141082,146872,149574],"interval_residues":[578,192,578],"display_cycle":[578,192,578],"intervals":[{"from_index":2,"to_index":390,"sum":141082,"residue":578},{"from_index":390,"to_index":778,"sum":146872,"residue":192},{"from_index":778,"to_index":2,"sum":149574,"residue":578}],"minimal_cycle":[578,192,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[2,390],"circle_positions":772,"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":[3,391,779],"clock_positions":[3,391,779],"native_values":[2,581,581],"rotation_degrees":0.9278350515463918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,581,581],"beta":{"interval_sums":[141660,146678,148994],"interval_residues":[384,770,770],"display_cycle":[384,770,770],"intervals":[{"from_index":3,"to_index":391,"sum":141660,"residue":384},{"from_index":391,"to_index":779,"sum":146678,"residue":770},{"from_index":779,"to_index":3,"sum":148994,"residue":770}],"minimal_cycle":[384,770,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[3,391],"circle_positions":772,"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":[4,392,780],"clock_positions":[4,392,780],"native_values":[3,389,196],"rotation_degrees":1.2371134020618557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,389,196],"beta":{"interval_sums":[142238,146870,148800],"interval_residues":[190,190,576],"display_cycle":[190,190,576],"intervals":[{"from_index":4,"to_index":392,"sum":142238,"residue":190},{"from_index":392,"to_index":780,"sum":146870,"residue":190},{"from_index":780,"to_index":4,"sum":148800,"residue":576}],"minimal_cycle":[190,190,576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[4,392],"circle_positions":772,"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":[5,393,781],"clock_positions":[5,393,781],"native_values":[5,198,5],"rotation_degrees":1.5463917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,198,5],"beta":{"interval_sums":[142622,146868,148798],"interval_residues":[574,188,574],"display_cycle":[574,188,574],"intervals":[{"from_index":5,"to_index":393,"sum":142622,"residue":574},{"from_index":393,"to_index":781,"sum":146868,"residue":188},{"from_index":781,"to_index":5,"sum":148798,"residue":574}],"minimal_cycle":[574,188,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[5,393],"circle_positions":772,"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":[6,394,782],"clock_positions":[6,394,782],"native_values":[8,587,201],"rotation_degrees":1.8556701030927836,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,587,201],"beta":{"interval_sums":[142812,146286,148602],"interval_residues":[764,378,378],"display_cycle":[764,378,378],"intervals":[{"from_index":6,"to_index":394,"sum":142812,"residue":764},{"from_index":394,"to_index":782,"sum":146286,"residue":378},{"from_index":782,"to_index":6,"sum":148602,"residue":378}],"minimal_cycle":[764,378,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[6,394],"circle_positions":772,"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":[7,395,783],"clock_positions":[7,395,783],"native_values":[13,13,206],"rotation_degrees":2.1649484536082473,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,13,206],"beta":{"interval_sums":[143386,146474,148404],"interval_residues":[566,566,180],"display_cycle":[566,566,180],"intervals":[{"from_index":7,"to_index":395,"sum":143386,"residue":566},{"from_index":395,"to_index":783,"sum":146474,"residue":566},{"from_index":783,"to_index":7,"sum":148404,"residue":180}],"minimal_cycle":[566,566,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":566,"start_interval_clock_positions":[7,395],"circle_positions":772,"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":[8,396,784],"clock_positions":[8,396,784],"native_values":[21,600,407],"rotation_degrees":2.4742268041237114,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,600,407],"beta":{"interval_sums":[143378,146080,148010],"interval_residues":[558,172,558],"display_cycle":[558,172,558],"intervals":[{"from_index":8,"to_index":396,"sum":143378,"residue":558},{"from_index":396,"to_index":784,"sum":146080,"residue":172},{"from_index":784,"to_index":8,"sum":148010,"residue":558}],"minimal_cycle":[558,172,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[8,396],"circle_positions":772,"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":[9,397,785],"clock_positions":[9,397,785],"native_values":[34,613,613],"rotation_degrees":2.783505154639175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,613,613],"beta":{"interval_sums":[143944,145874,147418],"interval_residues":[352,738,738],"display_cycle":[352,738,738],"intervals":[{"from_index":9,"to_index":397,"sum":143944,"residue":352},{"from_index":397,"to_index":785,"sum":145874,"residue":738},{"from_index":785,"to_index":9,"sum":147418,"residue":738}],"minimal_cycle":[352,738,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[9,397],"circle_positions":772,"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":[10,398,786],"clock_positions":[10,398,786],"native_values":[55,441,248],"rotation_degrees":3.0927835051546393,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,441,248],"beta":{"interval_sums":[144502,146046,147204],"interval_residues":[138,138,524],"display_cycle":[138,138,524],"intervals":[{"from_index":10,"to_index":398,"sum":144502,"residue":138},{"from_index":398,"to_index":786,"sum":146046,"residue":138},{"from_index":786,"to_index":10,"sum":147204,"residue":524}],"minimal_cycle":[138,138,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[10,398],"circle_positions":772,"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":[11,399,787],"clock_positions":[11,399,787],"native_values":[89,282,89],"rotation_degrees":3.402061855670103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,282,89],"beta":{"interval_sums":[144854,146012,147170],"interval_residues":[490,104,490],"display_cycle":[490,104,490],"intervals":[{"from_index":11,"to_index":399,"sum":144854,"residue":490},{"from_index":399,"to_index":787,"sum":146012,"residue":104},{"from_index":787,"to_index":11,"sum":147170,"residue":490}],"minimal_cycle":[490,104,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[11,399],"circle_positions":772,"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":[12,400,788],"clock_positions":[12,400,788],"native_values":[144,723,337],"rotation_degrees":3.711340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,723,337],"beta":{"interval_sums":[144992,145378,146922],"interval_residues":[628,242,242],"display_cycle":[628,242,242],"intervals":[{"from_index":12,"to_index":400,"sum":144992,"residue":628},{"from_index":400,"to_index":788,"sum":145378,"residue":242},{"from_index":788,"to_index":12,"sum":146922,"residue":242}],"minimal_cycle":[628,242,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[12,400],"circle_positions":772,"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":[13,401,789],"clock_positions":[13,401,789],"native_values":[233,233,426],"rotation_degrees":4.020618556701031,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,426],"beta":{"interval_sums":[145482,145482,146640],"interval_residues":[346,346,732],"display_cycle":[346,346,732],"intervals":[{"from_index":13,"to_index":401,"sum":145482,"residue":346},{"from_index":401,"to_index":789,"sum":145482,"residue":346},{"from_index":789,"to_index":13,"sum":146640,"residue":732}],"minimal_cycle":[346,346,732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[13,401],"circle_positions":772,"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":[14,402,790],"clock_positions":[14,402,790],"native_values":[377,184,763],"rotation_degrees":4.329896907216495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,184,763],"beta":{"interval_sums":[145338,145724,146110],"interval_residues":[202,588,202],"display_cycle":[202,588,202],"intervals":[{"from_index":14,"to_index":402,"sum":145338,"residue":202},{"from_index":402,"to_index":790,"sum":145724,"residue":588},{"from_index":790,"to_index":14,"sum":146110,"residue":202}],"minimal_cycle":[202,588,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[14,402],"circle_positions":772,"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":[15,403,791],"clock_positions":[15,403,791],"native_values":[610,417,417],"rotation_degrees":4.639175257731959,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,417,417],"beta":{"interval_sums":[144912,146070,146070],"interval_residues":[548,162,162],"display_cycle":[548,162,162],"intervals":[{"from_index":15,"to_index":403,"sum":144912,"residue":548},{"from_index":403,"to_index":791,"sum":146070,"residue":162},{"from_index":791,"to_index":15,"sum":146070,"residue":162}],"minimal_cycle":[548,162,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[15,403],"circle_positions":772,"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":[16,404,792],"clock_positions":[16,404,792],"native_values":[215,601,408],"rotation_degrees":4.948453608247423,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,601,408],"beta":{"interval_sums":[145114,145886,146272],"interval_residues":[750,750,364],"display_cycle":[750,750,364],"intervals":[{"from_index":16,"to_index":404,"sum":145114,"residue":750},{"from_index":404,"to_index":792,"sum":145886,"residue":750},{"from_index":792,"to_index":16,"sum":146272,"residue":364}],"minimal_cycle":[750,750,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[16,404],"circle_positions":772,"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":[17,405,793],"clock_positions":[17,405,793],"native_values":[53,246,53],"rotation_degrees":5.257731958762887,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,246,53],"beta":{"interval_sums":[145662,146048,146434],"interval_residues":[526,140,526],"display_cycle":[526,140,526],"intervals":[{"from_index":17,"to_index":405,"sum":145662,"residue":526},{"from_index":405,"to_index":793,"sum":146048,"residue":140},{"from_index":793,"to_index":17,"sum":146434,"residue":526}],"minimal_cycle":[526,140,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[17,405],"circle_positions":772,"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":[18,406,794],"clock_positions":[18,406,794],"native_values":[268,75,461],"rotation_degrees":5.56701030927835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,75,461],"beta":{"interval_sums":[145640,146026,146026],"interval_residues":[504,118,118],"display_cycle":[504,118,118],"intervals":[{"from_index":18,"to_index":406,"sum":145640,"residue":504},{"from_index":406,"to_index":794,"sum":146026,"residue":118},{"from_index":794,"to_index":18,"sum":146026,"residue":118}],"minimal_cycle":[504,118,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[18,406],"circle_positions":772,"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":[19,407,795],"clock_positions":[19,407,795],"native_values":[321,321,514],"rotation_degrees":5.876288659793815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,321,514],"beta":{"interval_sums":[145394,146166,145780],"interval_residues":[258,258,644],"display_cycle":[258,258,644],"intervals":[{"from_index":19,"to_index":407,"sum":145394,"residue":258},{"from_index":407,"to_index":795,"sum":146166,"residue":258},{"from_index":795,"to_index":19,"sum":145780,"residue":644}],"minimal_cycle":[258,258,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[19,407],"circle_positions":772,"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":[20,408,796],"clock_positions":[20,408,796],"native_values":[589,396,203],"rotation_degrees":6.185567010309279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,396,203],"beta":{"interval_sums":[145126,146284,145898],"interval_residues":[762,376,762],"display_cycle":[762,376,762],"intervals":[{"from_index":20,"to_index":408,"sum":145126,"residue":762},{"from_index":408,"to_index":796,"sum":146284,"residue":376},{"from_index":796,"to_index":20,"sum":145898,"residue":762}],"minimal_cycle":[762,376,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[20,408],"circle_positions":772,"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":[21,409,797],"clock_positions":[21,409,797],"native_values":[138,717,717],"rotation_degrees":6.494845360824742,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[138,717,717],"beta":{"interval_sums":[145384,145770,145770],"interval_residues":[248,634,634],"display_cycle":[248,634,634],"intervals":[{"from_index":21,"to_index":409,"sum":145384,"residue":248},{"from_index":409,"to_index":797,"sum":145770,"residue":634},{"from_index":797,"to_index":21,"sum":145770,"residue":634}],"minimal_cycle":[248,634,634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[21,409],"circle_positions":772,"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":[22,410,798],"clock_positions":[22,410,798],"native_values":[727,341,148],"rotation_degrees":6.804123711340206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,341,148],"beta":{"interval_sums":[145374,146146,145760],"interval_residues":[238,238,624],"display_cycle":[238,238,624],"intervals":[{"from_index":22,"to_index":410,"sum":145374,"residue":238},{"from_index":410,"to_index":798,"sum":146146,"residue":238},{"from_index":798,"to_index":22,"sum":145760,"residue":624}],"minimal_cycle":[238,238,624],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[22,410],"circle_positions":772,"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":[23,411,799],"clock_positions":[23,411,799],"native_values":[93,286,93],"rotation_degrees":7.11340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,286,93],"beta":{"interval_sums":[145622,146008,146394],"interval_residues":[486,100,486],"display_cycle":[486,100,486],"intervals":[{"from_index":23,"to_index":411,"sum":145622,"residue":486},{"from_index":411,"to_index":799,"sum":146008,"residue":100},{"from_index":799,"to_index":23,"sum":146394,"residue":486}],"minimal_cycle":[486,100,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[23,411],"circle_positions":772,"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":[24,412,800],"clock_positions":[24,412,800],"native_values":[48,627,241],"rotation_degrees":7.422680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,627,241],"beta":{"interval_sums":[145860,145474,146246],"interval_residues":[724,338,338],"display_cycle":[724,338,338],"intervals":[{"from_index":24,"to_index":412,"sum":145860,"residue":724},{"from_index":412,"to_index":800,"sum":145474,"residue":338},{"from_index":800,"to_index":24,"sum":146246,"residue":338}],"minimal_cycle":[724,338,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[24,412],"circle_positions":772,"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":[25,413,801],"clock_positions":[25,413,801],"native_values":[141,141,334],"rotation_degrees":7.731958762886598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,141,334],"beta":{"interval_sums":[146346,145574,145960],"interval_residues":[438,438,52],"display_cycle":[438,438,52],"intervals":[{"from_index":25,"to_index":413,"sum":146346,"residue":438},{"from_index":413,"to_index":801,"sum":145574,"residue":438},{"from_index":801,"to_index":25,"sum":145960,"residue":52}],"minimal_cycle":[438,438,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[25,413],"circle_positions":772,"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":[26,414,802],"clock_positions":[26,414,802],"native_values":[189,768,575],"rotation_degrees":8.041237113402062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,768,575],"beta":{"interval_sums":[146298,145140,145526],"interval_residues":[390,4,390],"display_cycle":[390,4,390],"intervals":[{"from_index":26,"to_index":414,"sum":146298,"residue":390},{"from_index":414,"to_index":802,"sum":145140,"residue":4},{"from_index":802,"to_index":26,"sum":145526,"residue":390}],"minimal_cycle":[390,4,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[26,414],"circle_positions":772,"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":[27,415,803],"clock_positions":[27,415,803],"native_values":[330,137,137],"rotation_degrees":8.350515463917526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[330,137,137],"beta":{"interval_sums":[146736,145578,145578],"interval_residues":[56,442,442],"display_cycle":[56,442,442],"intervals":[{"from_index":27,"to_index":415,"sum":146736,"residue":56},{"from_index":415,"to_index":803,"sum":145578,"residue":442},{"from_index":803,"to_index":27,"sum":145578,"residue":442}],"minimal_cycle":[56,442,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[27,415],"circle_positions":772,"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":[28,416,804],"clock_positions":[28,416,804],"native_values":[519,133,712],"rotation_degrees":8.65979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,133,712],"beta":{"interval_sums":[146354,145582,145196],"interval_residues":[446,446,60],"display_cycle":[446,446,60],"intervals":[{"from_index":28,"to_index":416,"sum":146354,"residue":446},{"from_index":416,"to_index":804,"sum":145582,"residue":446},{"from_index":804,"to_index":28,"sum":145196,"residue":60}],"minimal_cycle":[446,446,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[28,416],"circle_positions":772,"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":[29,417,805],"clock_positions":[29,417,805],"native_values":[77,270,77],"rotation_degrees":8.969072164948454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,270,77],"beta":{"interval_sums":[146410,146024,145638],"interval_residues":[502,116,502],"display_cycle":[502,116,502],"intervals":[{"from_index":29,"to_index":417,"sum":146410,"residue":502},{"from_index":417,"to_index":805,"sum":146024,"residue":116},{"from_index":805,"to_index":29,"sum":145638,"residue":502}],"minimal_cycle":[502,116,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[29,417],"circle_positions":772,"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":[30,418,806],"clock_positions":[30,418,806],"native_values":[596,403,17],"rotation_degrees":9.278350515463918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,403,17],"beta":{"interval_sums":[146084,145698,145698],"interval_residues":[176,562,562],"display_cycle":[176,562,562],"intervals":[{"from_index":30,"to_index":418,"sum":146084,"residue":176},{"from_index":418,"to_index":806,"sum":145698,"residue":562},{"from_index":806,"to_index":30,"sum":145698,"residue":562}],"minimal_cycle":[176,562,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[30,418],"circle_positions":772,"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":[31,419,807],"clock_positions":[31,419,807],"native_values":[673,673,94],"rotation_degrees":9.587628865979381,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,673,94],"beta":{"interval_sums":[145814,145042,146200],"interval_residues":[678,678,292],"display_cycle":[678,678,292],"intervals":[{"from_index":31,"to_index":419,"sum":145814,"residue":678},{"from_index":419,"to_index":807,"sum":145042,"residue":678},{"from_index":807,"to_index":31,"sum":146200,"residue":292}],"minimal_cycle":[678,678,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":678,"start_interval_clock_positions":[31,419],"circle_positions":772,"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":[32,420,808],"clock_positions":[32,420,808],"native_values":[497,304,111],"rotation_degrees":9.896907216494846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,304,111],"beta":{"interval_sums":[145990,144832,146762],"interval_residues":[82,468,82],"display_cycle":[82,468,82],"intervals":[{"from_index":32,"to_index":420,"sum":145990,"residue":82},{"from_index":420,"to_index":808,"sum":144832,"residue":468},{"from_index":808,"to_index":32,"sum":146762,"residue":82}],"minimal_cycle":[82,468,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[32,420],"circle_positions":772,"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":[33,421,809],"clock_positions":[33,421,809],"native_values":[398,205,205],"rotation_degrees":10.206185567010309,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[398,205,205],"beta":{"interval_sums":[145896,144738,147054],"interval_residues":[760,374,374],"display_cycle":[760,374,374],"intervals":[{"from_index":33,"to_index":421,"sum":145896,"residue":760},{"from_index":421,"to_index":809,"sum":144738,"residue":374},{"from_index":809,"to_index":33,"sum":147054,"residue":374}],"minimal_cycle":[760,374,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[33,421],"circle_positions":772,"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":[34,422,810],"clock_positions":[34,422,810],"native_values":[123,509,316],"rotation_degrees":10.515463917525773,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,509,316],"beta":{"interval_sums":[145978,144434,147136],"interval_residues":[70,70,456],"display_cycle":[70,70,456],"intervals":[{"from_index":34,"to_index":422,"sum":145978,"residue":70},{"from_index":422,"to_index":810,"sum":144434,"residue":70},{"from_index":810,"to_index":34,"sum":147136,"residue":456}],"minimal_cycle":[70,70,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[34,422],"circle_positions":772,"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":[35,423,811],"clock_positions":[35,423,811],"native_values":[521,714,521],"rotation_degrees":10.824742268041238,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,714,521],"beta":{"interval_sums":[145966,144036,146738],"interval_residues":[58,444,58],"display_cycle":[58,444,58],"intervals":[{"from_index":35,"to_index":423,"sum":145966,"residue":58},{"from_index":423,"to_index":811,"sum":144036,"residue":444},{"from_index":811,"to_index":35,"sum":146738,"residue":58}],"minimal_cycle":[58,444,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[35,423],"circle_positions":772,"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":[36,424,812],"clock_positions":[36,424,812],"native_values":[644,451,65],"rotation_degrees":11.1340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,451,65],"beta":{"interval_sums":[146036,144106,147194],"interval_residues":[128,514,514],"display_cycle":[128,514,514],"intervals":[{"from_index":36,"to_index":424,"sum":146036,"residue":128},{"from_index":424,"to_index":812,"sum":144106,"residue":514},{"from_index":812,"to_index":36,"sum":147194,"residue":514}],"minimal_cycle":[128,514,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[36,424],"circle_positions":772,"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":[37,425,813],"clock_positions":[37,425,813],"native_values":[393,393,586],"rotation_degrees":11.443298969072165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,393,586],"beta":{"interval_sums":[146094,143778,147252],"interval_residues":[186,186,572],"display_cycle":[186,186,572],"intervals":[{"from_index":37,"to_index":425,"sum":146094,"residue":186},{"from_index":425,"to_index":813,"sum":143778,"residue":186},{"from_index":813,"to_index":37,"sum":147252,"residue":572}],"minimal_cycle":[186,186,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[37,425],"circle_positions":772,"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":[38,426,814],"clock_positions":[38,426,814],"native_values":[265,72,651],"rotation_degrees":11.75257731958763,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,72,651],"beta":{"interval_sums":[146222,144292,146994],"interval_residues":[314,700,314],"display_cycle":[314,700,314],"intervals":[{"from_index":38,"to_index":426,"sum":146222,"residue":314},{"from_index":426,"to_index":814,"sum":144292,"residue":700},{"from_index":814,"to_index":38,"sum":146994,"residue":314}],"minimal_cycle":[314,700,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[38,426],"circle_positions":772,"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":[39,427,815],"clock_positions":[39,427,815],"native_values":[658,465,465],"rotation_degrees":12.061855670103093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,465,465],"beta":{"interval_sums":[145636,144478,146794],"interval_residues":[500,114,114],"display_cycle":[500,114,114],"intervals":[{"from_index":39,"to_index":427,"sum":145636,"residue":500},{"from_index":427,"to_index":815,"sum":144478,"residue":114},{"from_index":815,"to_index":39,"sum":146794,"residue":114}],"minimal_cycle":[500,114,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[39,427],"circle_positions":772,"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":[40,428,816],"clock_positions":[40,428,816],"native_values":[151,537,344],"rotation_degrees":12.371134020618557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,537,344],"beta":{"interval_sums":[145950,144406,147108],"interval_residues":[42,42,428],"display_cycle":[42,42,428],"intervals":[{"from_index":40,"to_index":428,"sum":145950,"residue":42},{"from_index":428,"to_index":816,"sum":144406,"residue":42},{"from_index":816,"to_index":40,"sum":147108,"residue":428}],"minimal_cycle":[42,42,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[40,428],"circle_positions":772,"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":[41,429,817],"clock_positions":[41,429,817],"native_values":[37,230,37],"rotation_degrees":12.68041237113402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,230,37],"beta":{"interval_sums":[146450,144520,147222],"interval_residues":[542,156,542],"display_cycle":[542,156,542],"intervals":[{"from_index":41,"to_index":429,"sum":146450,"residue":542},{"from_index":429,"to_index":817,"sum":144520,"residue":156},{"from_index":817,"to_index":41,"sum":147222,"residue":542}],"minimal_cycle":[542,156,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[41,429],"circle_positions":772,"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":[42,430,818],"clock_positions":[42,430,818],"native_values":[188,767,381],"rotation_degrees":12.989690721649485,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,767,381],"beta":{"interval_sums":[146492,143790,146878],"interval_residues":[584,198,198],"display_cycle":[584,198,198],"intervals":[{"from_index":42,"to_index":430,"sum":146492,"residue":584},{"from_index":430,"to_index":818,"sum":143790,"residue":198},{"from_index":818,"to_index":42,"sum":146878,"residue":198}],"minimal_cycle":[584,198,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[42,430],"circle_positions":772,"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":[43,431,819],"clock_positions":[43,431,819],"native_values":[225,225,418],"rotation_degrees":13.29896907216495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,225,418],"beta":{"interval_sums":[147034,143946,146648],"interval_residues":[354,354,740],"display_cycle":[354,354,740],"intervals":[{"from_index":43,"to_index":431,"sum":147034,"residue":354},{"from_index":431,"to_index":819,"sum":143946,"residue":354},{"from_index":819,"to_index":43,"sum":146648,"residue":740}],"minimal_cycle":[354,354,740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[43,431],"circle_positions":772,"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":[44,432,820],"clock_positions":[44,432,820],"native_values":[413,220,27],"rotation_degrees":13.608247422680412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,220,27],"beta":{"interval_sums":[146846,144144,146846],"interval_residues":[166,552,166],"display_cycle":[166,552,166],"intervals":[{"from_index":44,"to_index":432,"sum":146846,"residue":166},{"from_index":432,"to_index":820,"sum":144144,"residue":552},{"from_index":820,"to_index":44,"sum":146846,"residue":166}],"minimal_cycle":[166,552,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[44,432],"circle_positions":772,"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":[45,433,821],"clock_positions":[45,433,821],"native_values":[638,445,445],"rotation_degrees":13.917525773195877,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,445,445],"beta":{"interval_sums":[146428,143726,146814],"interval_residues":[520,134,134],"display_cycle":[520,134,134],"intervals":[{"from_index":45,"to_index":433,"sum":146428,"residue":520},{"from_index":433,"to_index":821,"sum":143726,"residue":134},{"from_index":821,"to_index":45,"sum":146814,"residue":134}],"minimal_cycle":[520,134,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[45,433],"circle_positions":772,"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":[46,434,822],"clock_positions":[46,434,822],"native_values":[279,665,472],"rotation_degrees":14.22680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,665,472],"beta":{"interval_sums":[146594,143506,146980],"interval_residues":[686,686,300],"display_cycle":[686,686,300],"intervals":[{"from_index":46,"to_index":434,"sum":146594,"residue":686},{"from_index":434,"to_index":822,"sum":143506,"residue":686},{"from_index":822,"to_index":46,"sum":146980,"residue":300}],"minimal_cycle":[686,686,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[46,434],"circle_positions":772,"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":[47,435,823],"clock_positions":[47,435,823],"native_values":[145,338,145],"rotation_degrees":14.536082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,338,145],"beta":{"interval_sums":[147114,143640,147114],"interval_residues":[434,48,434],"display_cycle":[434,48,434],"intervals":[{"from_index":47,"to_index":435,"sum":147114,"residue":434},{"from_index":435,"to_index":823,"sum":143640,"residue":48},{"from_index":823,"to_index":47,"sum":147114,"residue":434}],"minimal_cycle":[434,48,434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[47,435],"circle_positions":772,"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":[48,436,824],"clock_positions":[48,436,824],"native_values":[424,231,617],"rotation_degrees":14.845360824742269,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,231,617],"beta":{"interval_sums":[147028,143554,146642],"interval_residues":[348,734,734],"display_cycle":[348,734,734],"intervals":[{"from_index":48,"to_index":436,"sum":147028,"residue":348},{"from_index":436,"to_index":824,"sum":143554,"residue":734},{"from_index":824,"to_index":48,"sum":146642,"residue":734}],"minimal_cycle":[348,734,734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[48,436],"circle_positions":772,"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":[49,437,825],"clock_positions":[49,437,825],"native_values":[569,569,762],"rotation_degrees":15.154639175257731,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,569,762],"beta":{"interval_sums":[146690,143602,146304],"interval_residues":[10,10,396],"display_cycle":[10,10,396],"intervals":[{"from_index":49,"to_index":437,"sum":146690,"residue":10},{"from_index":437,"to_index":825,"sum":143602,"residue":10},{"from_index":825,"to_index":49,"sum":146304,"residue":396}],"minimal_cycle":[10,10,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[49,437],"circle_positions":772,"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":[50,438,826],"clock_positions":[50,438,826],"native_values":[221,28,607],"rotation_degrees":15.463917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,28,607],"beta":{"interval_sums":[147038,144336,146266],"interval_residues":[358,744,358],"display_cycle":[358,744,358],"intervals":[{"from_index":50,"to_index":438,"sum":147038,"residue":358},{"from_index":438,"to_index":826,"sum":144336,"residue":744},{"from_index":826,"to_index":50,"sum":146266,"residue":358}],"minimal_cycle":[358,744,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[50,438],"circle_positions":772,"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":[51,439,827],"clock_positions":[51,439,827],"native_values":[18,597,597],"rotation_degrees":15.77319587628866,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[18,597,597],"beta":{"interval_sums":[147048,144346,145890],"interval_residues":[368,754,754],"display_cycle":[368,754,754],"intervals":[{"from_index":51,"to_index":439,"sum":147048,"residue":368},{"from_index":439,"to_index":827,"sum":144346,"residue":754},{"from_index":827,"to_index":51,"sum":145890,"residue":754}],"minimal_cycle":[368,754,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[51,439],"circle_positions":772,"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":[52,440,828],"clock_positions":[52,440,828],"native_values":[239,625,432],"rotation_degrees":16.082474226804123,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,625,432],"beta":{"interval_sums":[147406,144318,145476],"interval_residues":[726,726,340],"display_cycle":[726,726,340],"intervals":[{"from_index":52,"to_index":440,"sum":147406,"residue":726},{"from_index":440,"to_index":828,"sum":144318,"residue":726},{"from_index":828,"to_index":52,"sum":145476,"residue":340}],"minimal_cycle":[726,726,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[52,440],"circle_positions":772,"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":[53,441,829],"clock_positions":[53,441,829],"native_values":[257,450,257],"rotation_degrees":16.391752577319586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,450,257],"beta":{"interval_sums":[147774,144300,145458],"interval_residues":[322,708,322],"display_cycle":[322,708,322],"intervals":[{"from_index":53,"to_index":441,"sum":147774,"residue":322},{"from_index":441,"to_index":829,"sum":144300,"residue":708},{"from_index":829,"to_index":53,"sum":145458,"residue":322}],"minimal_cycle":[322,708,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[53,441],"circle_positions":772,"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":[54,442,830],"clock_positions":[54,442,830],"native_values":[496,303,689],"rotation_degrees":16.701030927835053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,303,689],"beta":{"interval_sums":[147728,144254,145026],"interval_residues":[276,662,662],"display_cycle":[276,662,662],"intervals":[{"from_index":54,"to_index":442,"sum":147728,"residue":276},{"from_index":442,"to_index":830,"sum":144254,"residue":662},{"from_index":830,"to_index":54,"sum":145026,"residue":662}],"minimal_cycle":[276,662,662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[54,442],"circle_positions":772,"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":[55,443,831],"clock_positions":[55,443,831],"native_values":[753,753,174],"rotation_degrees":17.010309278350515,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[753,753,174],"beta":{"interval_sums":[147278,144190,145348],"interval_residues":[598,598,212],"display_cycle":[598,598,212],"intervals":[{"from_index":55,"to_index":443,"sum":147278,"residue":598},{"from_index":443,"to_index":831,"sum":144190,"residue":598},{"from_index":831,"to_index":55,"sum":145348,"residue":212}],"minimal_cycle":[598,598,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[55,443],"circle_positions":772,"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":[56,444,832],"clock_positions":[56,444,832],"native_values":[477,284,91],"rotation_degrees":17.31958762886598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,284,91],"beta":{"interval_sums":[147554,144080,146010],"interval_residues":[102,488,102],"display_cycle":[102,488,102],"intervals":[{"from_index":56,"to_index":444,"sum":147554,"residue":102},{"from_index":444,"to_index":832,"sum":144080,"residue":488},{"from_index":832,"to_index":56,"sum":146010,"residue":102}],"minimal_cycle":[102,488,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[56,444],"circle_positions":772,"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":[57,445,833],"clock_positions":[57,445,833],"native_values":[458,265,265],"rotation_degrees":17.628865979381445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,265,265],"beta":{"interval_sums":[147380,143906,146222],"interval_residues":[700,314,314],"display_cycle":[700,314,314],"intervals":[{"from_index":57,"to_index":445,"sum":147380,"residue":700},{"from_index":445,"to_index":833,"sum":143906,"residue":314},{"from_index":833,"to_index":57,"sum":146222,"residue":314}],"minimal_cycle":[700,314,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[57,445],"circle_positions":772,"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":[58,446,834],"clock_positions":[58,446,834],"native_values":[163,549,356],"rotation_degrees":17.938144329896907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,549,356],"beta":{"interval_sums":[147482,143622,146324],"interval_residues":[30,30,416],"display_cycle":[30,30,416],"intervals":[{"from_index":58,"to_index":446,"sum":147482,"residue":30},{"from_index":446,"to_index":834,"sum":143622,"residue":30},{"from_index":834,"to_index":58,"sum":146324,"residue":416}],"minimal_cycle":[30,30,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[58,446],"circle_positions":772,"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":[59,447,835],"clock_positions":[59,447,835],"native_values":[621,42,621],"rotation_degrees":18.24742268041237,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[621,42,621],"beta":{"interval_sums":[147410,143936,145866],"interval_residues":[730,344,730],"display_cycle":[730,344,730],"intervals":[{"from_index":59,"to_index":447,"sum":147410,"residue":730},{"from_index":447,"to_index":835,"sum":143936,"residue":344},{"from_index":835,"to_index":59,"sum":145866,"residue":730}],"minimal_cycle":[730,344,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[59,447],"circle_positions":772,"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":[60,448,836],"clock_positions":[60,448,836],"native_values":[12,591,205],"rotation_degrees":18.556701030927837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,591,205],"beta":{"interval_sums":[147440,143966,146282],"interval_residues":[760,374,374],"display_cycle":[760,374,374],"intervals":[{"from_index":60,"to_index":448,"sum":147440,"residue":760},{"from_index":448,"to_index":836,"sum":143966,"residue":374},{"from_index":836,"to_index":60,"sum":146282,"residue":374}],"minimal_cycle":[760,374,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[60,448],"circle_positions":772,"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":[61,449,837],"clock_positions":[61,449,837],"native_values":[633,633,54],"rotation_degrees":18.8659793814433,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[633,633,54],"beta":{"interval_sums":[147398,143538,146240],"interval_residues":[718,718,332],"display_cycle":[718,718,332],"intervals":[{"from_index":61,"to_index":449,"sum":147398,"residue":718},{"from_index":449,"to_index":837,"sum":143538,"residue":718},{"from_index":837,"to_index":61,"sum":146240,"residue":332}],"minimal_cycle":[718,718,332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[61,449],"circle_positions":772,"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":[62,450,838],"clock_positions":[62,450,838],"native_values":[645,452,259],"rotation_degrees":19.175257731958762,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,452,259],"beta":{"interval_sums":[147386,143140,146614],"interval_residues":[706,320,706],"display_cycle":[706,320,706],"intervals":[{"from_index":62,"to_index":450,"sum":147386,"residue":706},{"from_index":450,"to_index":838,"sum":143140,"residue":320},{"from_index":838,"to_index":62,"sum":146614,"residue":706}],"minimal_cycle":[706,320,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[62,450],"circle_positions":772,"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":[63,451,839],"clock_positions":[63,451,839],"native_values":[506,313,313],"rotation_degrees":19.484536082474225,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,313,313],"beta":{"interval_sums":[147332,143086,146946],"interval_residues":[652,266,266],"display_cycle":[652,266,266],"intervals":[{"from_index":63,"to_index":451,"sum":147332,"residue":652},{"from_index":451,"to_index":839,"sum":143086,"residue":266},{"from_index":839,"to_index":63,"sum":146946,"residue":266}],"minimal_cycle":[652,266,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[63,451],"circle_positions":772,"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":[64,452,840],"clock_positions":[64,452,840],"native_values":[379,765,572],"rotation_degrees":19.79381443298969,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,765,572],"beta":{"interval_sums":[147266,142634,146880],"interval_residues":[586,586,200],"display_cycle":[586,586,200],"intervals":[{"from_index":64,"to_index":452,"sum":147266,"residue":586},{"from_index":452,"to_index":840,"sum":142634,"residue":586},{"from_index":840,"to_index":64,"sum":146880,"residue":200}],"minimal_cycle":[586,586,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[64,452],"circle_positions":772,"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":[65,453,841],"clock_positions":[65,453,841],"native_values":[113,306,113],"rotation_degrees":20.103092783505154,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,306,113],"beta":{"interval_sums":[147918,142900,147146],"interval_residues":[466,80,466],"display_cycle":[466,80,466],"intervals":[{"from_index":65,"to_index":453,"sum":147918,"residue":466},{"from_index":453,"to_index":841,"sum":142900,"residue":80},{"from_index":841,"to_index":65,"sum":147146,"residue":466}],"minimal_cycle":[466,80,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[65,453],"circle_positions":772,"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":[66,454,842],"clock_positions":[66,454,842],"native_values":[492,299,685],"rotation_degrees":20.412371134020617,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,299,685],"beta":{"interval_sums":[147732,142714,146574],"interval_residues":[280,666,666],"display_cycle":[280,666,666],"intervals":[{"from_index":66,"to_index":454,"sum":147732,"residue":280},{"from_index":454,"to_index":842,"sum":142714,"residue":666},{"from_index":842,"to_index":66,"sum":146574,"residue":666}],"minimal_cycle":[280,666,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[66,454],"circle_positions":772,"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":[67,455,843],"clock_positions":[67,455,843],"native_values":[605,605,26],"rotation_degrees":20.721649484536083,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,605,26],"beta":{"interval_sums":[147426,142794,147040],"interval_residues":[746,746,360],"display_cycle":[746,746,360],"intervals":[{"from_index":67,"to_index":455,"sum":147426,"residue":746},{"from_index":455,"to_index":843,"sum":142794,"residue":746},{"from_index":843,"to_index":67,"sum":147040,"residue":360}],"minimal_cycle":[746,746,360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[67,455],"circle_positions":772,"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":[68,456,844],"clock_positions":[68,456,844],"native_values":[325,132,711],"rotation_degrees":21.030927835051546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,132,711],"beta":{"interval_sums":[147706,142688,146934],"interval_residues":[254,640,254],"display_cycle":[254,640,254],"intervals":[{"from_index":68,"to_index":456,"sum":147706,"residue":254},{"from_index":456,"to_index":844,"sum":142688,"residue":640},{"from_index":844,"to_index":68,"sum":146934,"residue":254}],"minimal_cycle":[254,640,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[68,456],"circle_positions":772,"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":[69,457,845],"clock_positions":[69,457,845],"native_values":[158,737,737],"rotation_degrees":21.34020618556701,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,737,737],"beta":{"interval_sums":[147680,142662,146522],"interval_residues":[228,614,614],"display_cycle":[228,614,614],"intervals":[{"from_index":69,"to_index":457,"sum":147680,"residue":228},{"from_index":457,"to_index":845,"sum":142662,"residue":614},{"from_index":845,"to_index":69,"sum":146522,"residue":614}],"minimal_cycle":[228,614,614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[69,457],"circle_positions":772,"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":[70,458,846],"clock_positions":[70,458,846],"native_values":[483,97,676],"rotation_degrees":21.649484536082475,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,97,676],"beta":{"interval_sums":[147934,143302,146004],"interval_residues":[482,482,96],"display_cycle":[482,482,96],"intervals":[{"from_index":70,"to_index":458,"sum":147934,"residue":482},{"from_index":458,"to_index":846,"sum":143302,"residue":482},{"from_index":846,"to_index":70,"sum":146004,"residue":96}],"minimal_cycle":[482,482,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[70,458],"circle_positions":772,"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":[71,459,847],"clock_positions":[71,459,847],"native_values":[641,62,641],"rotation_degrees":21.95876288659794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,62,641],"beta":{"interval_sums":[147390,143916,145846],"interval_residues":[710,324,710],"display_cycle":[710,324,710],"intervals":[{"from_index":71,"to_index":459,"sum":147390,"residue":710},{"from_index":459,"to_index":847,"sum":143916,"residue":324},{"from_index":847,"to_index":71,"sum":145846,"residue":710}],"minimal_cycle":[710,324,710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[71,459],"circle_positions":772,"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":[72,460,848],"clock_positions":[72,460,848],"native_values":[352,159,545],"rotation_degrees":22.2680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[352,159,545],"beta":{"interval_sums":[147100,144398,145942],"interval_residues":[420,34,34],"display_cycle":[420,34,34],"intervals":[{"from_index":72,"to_index":460,"sum":147100,"residue":420},{"from_index":460,"to_index":848,"sum":144398,"residue":34},{"from_index":848,"to_index":72,"sum":145942,"residue":34}],"minimal_cycle":[420,34,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[72,460],"circle_positions":772,"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":[73,461,849],"clock_positions":[73,461,849],"native_values":[221,221,414],"rotation_degrees":22.577319587628867,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,414],"beta":{"interval_sums":[147038,144722,145880],"interval_residues":[358,358,744],"display_cycle":[358,358,744],"intervals":[{"from_index":73,"to_index":461,"sum":147038,"residue":358},{"from_index":461,"to_index":849,"sum":144722,"residue":358},{"from_index":849,"to_index":73,"sum":145880,"residue":744}],"minimal_cycle":[358,358,744],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[73,461],"circle_positions":772,"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":[74,462,850],"clock_positions":[74,462,850],"native_values":[573,380,187],"rotation_degrees":22.88659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,380,187],"beta":{"interval_sums":[146686,144756,145914],"interval_residues":[6,392,6],"display_cycle":[6,392,6],"intervals":[{"from_index":74,"to_index":462,"sum":146686,"residue":6},{"from_index":462,"to_index":850,"sum":144756,"residue":392},{"from_index":850,"to_index":74,"sum":145914,"residue":6}],"minimal_cycle":[6,392,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[74,462],"circle_positions":772,"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":[75,463,851],"clock_positions":[75,463,851],"native_values":[22,601,601],"rotation_degrees":23.195876288659793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,601,601],"beta":{"interval_sums":[147044,144342,145886],"interval_residues":[364,750,750],"display_cycle":[364,750,750],"intervals":[{"from_index":75,"to_index":463,"sum":147044,"residue":364},{"from_index":463,"to_index":851,"sum":144342,"residue":750},{"from_index":851,"to_index":75,"sum":145886,"residue":750}],"minimal_cycle":[364,750,750],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":364,"start_interval_clock_positions":[75,463],"circle_positions":772,"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":[76,464,852],"clock_positions":[76,464,852],"native_values":[595,209,16],"rotation_degrees":23.50515463917526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,209,16],"beta":{"interval_sums":[147050,144734,145892],"interval_residues":[370,370,756],"display_cycle":[370,370,756],"intervals":[{"from_index":76,"to_index":464,"sum":147050,"residue":370},{"from_index":464,"to_index":852,"sum":144734,"residue":370},{"from_index":852,"to_index":76,"sum":145892,"residue":756}],"minimal_cycle":[370,370,756],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[76,464],"circle_positions":772,"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":[77,465,853],"clock_positions":[77,465,853],"native_values":[617,38,617],"rotation_degrees":23.814432989690722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,38,617],"beta":{"interval_sums":[146642,144712,145870],"interval_residues":[734,348,734],"display_cycle":[734,348,734],"intervals":[{"from_index":77,"to_index":465,"sum":146642,"residue":734},{"from_index":465,"to_index":853,"sum":144712,"residue":348},{"from_index":853,"to_index":77,"sum":145870,"residue":734}],"minimal_cycle":[734,348,734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[77,465],"circle_positions":772,"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":[78,466,854],"clock_positions":[78,466,854],"native_values":[440,247,633],"rotation_degrees":24.123711340206185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,247,633],"beta":{"interval_sums":[146240,145082,145854],"interval_residues":[332,718,718],"display_cycle":[332,718,718],"intervals":[{"from_index":78,"to_index":466,"sum":146240,"residue":332},{"from_index":466,"to_index":854,"sum":145082,"residue":718},{"from_index":854,"to_index":78,"sum":145854,"residue":718}],"minimal_cycle":[332,718,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[78,466],"circle_positions":772,"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":[79,467,855],"clock_positions":[79,467,855],"native_values":[285,285,478],"rotation_degrees":24.432989690721648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,285,478],"beta":{"interval_sums":[146202,145430,145816],"interval_residues":[294,294,680],"display_cycle":[294,294,680],"intervals":[{"from_index":79,"to_index":467,"sum":146202,"residue":294},{"from_index":467,"to_index":855,"sum":145430,"residue":294},{"from_index":855,"to_index":79,"sum":145816,"residue":680}],"minimal_cycle":[294,294,680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[79,467],"circle_positions":772,"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":[80,468,856],"clock_positions":[80,468,856],"native_values":[725,532,339],"rotation_degrees":24.742268041237114,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,532,339],"beta":{"interval_sums":[145762,145376,145762],"interval_residues":[626,240,626],"display_cycle":[626,240,626],"intervals":[{"from_index":80,"to_index":468,"sum":145762,"residue":626},{"from_index":468,"to_index":856,"sum":145376,"residue":240},{"from_index":856,"to_index":80,"sum":145762,"residue":626}],"minimal_cycle":[626,240,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[80,468],"circle_positions":772,"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":[81,469,857],"clock_positions":[81,469,857],"native_values":[238,45,45],"rotation_degrees":25.051546391752577,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,45,45],"beta":{"interval_sums":[146056,145670,146442],"interval_residues":[148,534,534],"display_cycle":[148,534,534],"intervals":[{"from_index":81,"to_index":469,"sum":146056,"residue":148},{"from_index":469,"to_index":857,"sum":145670,"residue":534},{"from_index":857,"to_index":81,"sum":146442,"residue":534}],"minimal_cycle":[148,534,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[81,469],"circle_positions":772,"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":[82,470,858],"clock_positions":[82,470,858],"native_values":[191,577,384],"rotation_degrees":25.36082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,577,384],"beta":{"interval_sums":[145910,145138,146296],"interval_residues":[2,2,388],"display_cycle":[2,2,388],"intervals":[{"from_index":82,"to_index":470,"sum":145910,"residue":2},{"from_index":470,"to_index":858,"sum":145138,"residue":2},{"from_index":858,"to_index":82,"sum":146296,"residue":388}],"minimal_cycle":[2,2,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[82,470],"circle_positions":772,"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":[83,471,859],"clock_positions":[83,471,859],"native_values":[429,622,429],"rotation_degrees":25.670103092783506,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,622,429],"beta":{"interval_sums":[146058,144900,146058],"interval_residues":[150,536,150],"display_cycle":[150,536,150],"intervals":[{"from_index":83,"to_index":471,"sum":146058,"residue":150},{"from_index":471,"to_index":859,"sum":144900,"residue":536},{"from_index":859,"to_index":83,"sum":146058,"residue":150}],"minimal_cycle":[150,536,150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[83,471],"circle_positions":772,"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":[84,472,860],"clock_positions":[84,472,860],"native_values":[620,427,41],"rotation_degrees":25.97938144329897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[620,427,41],"beta":{"interval_sums":[146060,144902,146446],"interval_residues":[152,538,538],"display_cycle":[152,538,538],"intervals":[{"from_index":84,"to_index":472,"sum":146060,"residue":152},{"from_index":472,"to_index":860,"sum":144902,"residue":538},{"from_index":860,"to_index":84,"sum":146446,"residue":538}],"minimal_cycle":[152,538,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[84,472],"circle_positions":772,"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":[85,473,861],"clock_positions":[85,473,861],"native_values":[277,277,470],"rotation_degrees":26.288659793814432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,277,470],"beta":{"interval_sums":[146210,144666,146596],"interval_residues":[302,302,688],"display_cycle":[302,302,688],"intervals":[{"from_index":85,"to_index":473,"sum":146210,"residue":302},{"from_index":473,"to_index":861,"sum":144666,"residue":302},{"from_index":861,"to_index":85,"sum":146596,"residue":688}],"minimal_cycle":[302,302,688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[85,473],"circle_positions":772,"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":[86,474,862],"clock_positions":[86,474,862],"native_values":[125,704,511],"rotation_degrees":26.5979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,704,511],"beta":{"interval_sums":[146362,144432,146362],"interval_residues":[454,68,454],"display_cycle":[454,68,454],"intervals":[{"from_index":86,"to_index":474,"sum":146362,"residue":454},{"from_index":474,"to_index":862,"sum":144432,"residue":68},{"from_index":862,"to_index":86,"sum":146362,"residue":454}],"minimal_cycle":[454,68,454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[86,474],"circle_positions":772,"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":[87,475,863],"clock_positions":[87,475,863],"native_values":[402,209,209],"rotation_degrees":26.90721649484536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,209,209],"beta":{"interval_sums":[146664,144734,146278],"interval_residues":[756,370,370],"display_cycle":[756,370,370],"intervals":[{"from_index":87,"to_index":475,"sum":146664,"residue":756},{"from_index":475,"to_index":863,"sum":144734,"residue":370},{"from_index":863,"to_index":87,"sum":146278,"residue":370}],"minimal_cycle":[756,370,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":756,"start_interval_clock_positions":[87,475],"circle_positions":772,"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":[88,476,864],"clock_positions":[88,476,864],"native_values":[527,141,720],"rotation_degrees":27.216494845360824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,141,720],"beta":{"interval_sums":[146346,144802,145960],"interval_residues":[438,438,52],"display_cycle":[438,438,52],"intervals":[{"from_index":88,"to_index":476,"sum":146346,"residue":438},{"from_index":476,"to_index":864,"sum":144802,"residue":438},{"from_index":864,"to_index":88,"sum":145960,"residue":52}],"minimal_cycle":[438,438,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[88,476],"circle_positions":772,"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":[89,477,865],"clock_positions":[89,477,865],"native_values":[157,350,157],"rotation_degrees":27.52577319587629,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,350,157],"beta":{"interval_sums":[146330,145172,146330],"interval_residues":[422,36,422],"display_cycle":[422,36,422],"intervals":[{"from_index":89,"to_index":477,"sum":146330,"residue":422},{"from_index":477,"to_index":865,"sum":145172,"residue":36},{"from_index":865,"to_index":89,"sum":146330,"residue":422}],"minimal_cycle":[422,36,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[89,477],"circle_positions":772,"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":[90,478,866],"clock_positions":[90,478,866],"native_values":[684,491,105],"rotation_degrees":27.835051546391753,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[684,491,105],"beta":{"interval_sums":[145996,144838,146382],"interval_residues":[88,474,474],"display_cycle":[88,474,474],"intervals":[{"from_index":90,"to_index":478,"sum":145996,"residue":88},{"from_index":478,"to_index":866,"sum":144838,"residue":474},{"from_index":866,"to_index":90,"sum":146382,"residue":474}],"minimal_cycle":[88,474,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[90,478],"circle_positions":772,"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":[91,479,867],"clock_positions":[91,479,867],"native_values":[69,69,262],"rotation_degrees":28.144329896907216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,69,262],"beta":{"interval_sums":[146418,144874,146804],"interval_residues":[510,510,124],"display_cycle":[510,510,124],"intervals":[{"from_index":91,"to_index":479,"sum":146418,"residue":510},{"from_index":479,"to_index":867,"sum":144874,"residue":510},{"from_index":867,"to_index":91,"sum":146804,"residue":124}],"minimal_cycle":[510,510,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":510,"start_interval_clock_positions":[91,479],"circle_positions":772,"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":[92,480,868],"clock_positions":[92,480,868],"native_values":[753,560,367],"rotation_degrees":28.45360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,560,367],"beta":{"interval_sums":[145734,144576,146506],"interval_residues":[598,212,598],"display_cycle":[598,212,598],"intervals":[{"from_index":92,"to_index":480,"sum":145734,"residue":598},{"from_index":480,"to_index":868,"sum":144576,"residue":212},{"from_index":868,"to_index":92,"sum":146506,"residue":598}],"minimal_cycle":[598,212,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[92,480],"circle_positions":772,"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":[93,481,869],"clock_positions":[93,481,869],"native_values":[50,629,629],"rotation_degrees":28.762886597938145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,629,629],"beta":{"interval_sums":[146244,144314,146630],"interval_residues":[336,722,722],"display_cycle":[336,722,722],"intervals":[{"from_index":93,"to_index":481,"sum":146244,"residue":336},{"from_index":481,"to_index":869,"sum":144314,"residue":722},{"from_index":869,"to_index":93,"sum":146630,"residue":722}],"minimal_cycle":[336,722,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[93,481],"circle_positions":772,"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":[94,482,870],"clock_positions":[94,482,870],"native_values":[31,417,224],"rotation_degrees":29.072164948453608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,417,224],"beta":{"interval_sums":[146842,144526,146456],"interval_residues":[162,162,548],"display_cycle":[162,162,548],"intervals":[{"from_index":94,"to_index":482,"sum":146842,"residue":162},{"from_index":482,"to_index":870,"sum":144526,"residue":162},{"from_index":870,"to_index":94,"sum":146456,"residue":548}],"minimal_cycle":[162,162,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[94,482],"circle_positions":772,"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":[95,483,871],"clock_positions":[95,483,871],"native_values":[81,274,81],"rotation_degrees":29.38144329896907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,274,81],"beta":{"interval_sums":[147178,144476,146406],"interval_residues":[498,112,498],"display_cycle":[498,112,498],"intervals":[{"from_index":95,"to_index":483,"sum":147178,"residue":498},{"from_index":483,"to_index":871,"sum":144476,"residue":112},{"from_index":871,"to_index":95,"sum":146406,"residue":498}],"minimal_cycle":[498,112,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[95,483],"circle_positions":772,"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":[96,484,872],"clock_positions":[96,484,872],"native_values":[112,691,305],"rotation_degrees":29.690721649484537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,691,305],"beta":{"interval_sums":[147340,143866,146182],"interval_residues":[660,274,274],"display_cycle":[660,274,274],"intervals":[{"from_index":96,"to_index":484,"sum":147340,"residue":660},{"from_index":484,"to_index":872,"sum":143866,"residue":274},{"from_index":872,"to_index":96,"sum":146182,"residue":274}],"minimal_cycle":[660,274,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[96,484],"circle_positions":772,"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":[97,485,873],"clock_positions":[97,485,873],"native_values":[193,193,386],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,193,386],"beta":{"interval_sums":[147838,143978,145908],"interval_residues":[386,386,0],"display_cycle":[386,386,772],"intervals":[{"from_index":97,"to_index":485,"sum":147838,"residue":386},{"from_index":485,"to_index":873,"sum":143978,"residue":386},{"from_index":873,"to_index":97,"sum":145908,"residue":0}],"minimal_cycle":[386,386,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[97,485],"circle_positions":772,"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":[98,486,874],"clock_positions":[98,486,874],"native_values":[305,112,691],"rotation_degrees":30.309278350515463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,112,691],"beta":{"interval_sums":[147726,144252,145410],"interval_residues":[274,660,274],"display_cycle":[274,660,274],"intervals":[{"from_index":98,"to_index":486,"sum":147726,"residue":274},{"from_index":486,"to_index":874,"sum":144252,"residue":660},{"from_index":874,"to_index":98,"sum":145410,"residue":274}],"minimal_cycle":[274,660,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[98,486],"circle_positions":772,"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":[99,487,875],"clock_positions":[99,487,875],"native_values":[498,305,305],"rotation_degrees":30.61855670103093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,305,305],"beta":{"interval_sums":[147340,144638,145410],"interval_residues":[660,274,274],"display_cycle":[660,274,274],"intervals":[{"from_index":99,"to_index":487,"sum":147340,"residue":660},{"from_index":487,"to_index":875,"sum":144638,"residue":274},{"from_index":875,"to_index":99,"sum":145410,"residue":274}],"minimal_cycle":[660,274,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[99,487],"circle_positions":772,"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":[100,488,876],"clock_positions":[100,488,876],"native_values":[31,417,224],"rotation_degrees":30.927835051546392,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,417,224],"beta":{"interval_sums":[147614,144526,145684],"interval_residues":[162,162,548],"display_cycle":[162,162,548],"intervals":[{"from_index":100,"to_index":488,"sum":147614,"residue":162},{"from_index":488,"to_index":876,"sum":144526,"residue":162},{"from_index":876,"to_index":100,"sum":145684,"residue":548}],"minimal_cycle":[162,162,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[100,488],"circle_positions":772,"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":[101,489,877],"clock_positions":[101,489,877],"native_values":[529,722,529],"rotation_degrees":31.237113402061855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,722,529],"beta":{"interval_sums":[147502,144028,145186],"interval_residues":[50,436,50],"display_cycle":[50,436,50],"intervals":[{"from_index":101,"to_index":489,"sum":147502,"residue":50},{"from_index":489,"to_index":877,"sum":144028,"residue":436},{"from_index":877,"to_index":101,"sum":145186,"residue":50}],"minimal_cycle":[50,436,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[101,489],"circle_positions":772,"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":[102,490,878],"clock_positions":[102,490,878],"native_values":[560,367,753],"rotation_degrees":31.54639175257732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,367,753],"beta":{"interval_sums":[147664,144190,144962],"interval_residues":[212,598,598],"display_cycle":[212,598,598],"intervals":[{"from_index":102,"to_index":490,"sum":147664,"residue":212},{"from_index":490,"to_index":878,"sum":144190,"residue":598},{"from_index":878,"to_index":102,"sum":144962,"residue":598}],"minimal_cycle":[212,598,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[102,490],"circle_positions":772,"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":[103,491,879],"clock_positions":[103,491,879],"native_values":[317,317,510],"rotation_degrees":31.855670103092784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,317,510],"beta":{"interval_sums":[147714,144626,145012],"interval_residues":[262,262,648],"display_cycle":[262,262,648],"intervals":[{"from_index":103,"to_index":491,"sum":147714,"residue":262},{"from_index":491,"to_index":879,"sum":144626,"residue":262},{"from_index":879,"to_index":103,"sum":145012,"residue":648}],"minimal_cycle":[262,262,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[103,491],"circle_positions":772,"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":[104,492,880],"clock_positions":[104,492,880],"native_values":[105,684,491],"rotation_degrees":32.16494845360825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,684,491],"beta":{"interval_sums":[147926,144452,144838],"interval_residues":[474,88,474],"display_cycle":[474,88,474],"intervals":[{"from_index":104,"to_index":492,"sum":147926,"residue":474},{"from_index":492,"to_index":880,"sum":144452,"residue":88},{"from_index":880,"to_index":104,"sum":144838,"residue":474}],"minimal_cycle":[474,88,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[104,492],"circle_positions":772,"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":[105,493,881],"clock_positions":[105,493,881],"native_values":[422,229,229],"rotation_degrees":32.47422680412371,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,229,229],"beta":{"interval_sums":[148188,144714,144714],"interval_residues":[736,350,350],"display_cycle":[736,350,350],"intervals":[{"from_index":105,"to_index":493,"sum":148188,"residue":736},{"from_index":493,"to_index":881,"sum":144714,"residue":350},{"from_index":881,"to_index":105,"sum":144714,"residue":350}],"minimal_cycle":[736,350,350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":736,"start_interval_clock_positions":[105,493],"circle_positions":772,"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":[106,494,882],"clock_positions":[106,494,882],"native_values":[527,141,720],"rotation_degrees":32.78350515463917,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,141,720],"beta":{"interval_sums":[147890,144802,144416],"interval_residues":[438,438,52],"display_cycle":[438,438,52],"intervals":[{"from_index":106,"to_index":494,"sum":147890,"residue":438},{"from_index":494,"to_index":882,"sum":144802,"residue":438},{"from_index":882,"to_index":106,"sum":144416,"residue":52}],"minimal_cycle":[438,438,52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[106,494],"circle_positions":772,"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":[107,495,883],"clock_positions":[107,495,883],"native_values":[177,370,177],"rotation_degrees":33.09278350515464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,370,177],"beta":{"interval_sums":[147854,145152,144766],"interval_residues":[402,16,402],"display_cycle":[402,16,402],"intervals":[{"from_index":107,"to_index":495,"sum":147854,"residue":402},{"from_index":495,"to_index":883,"sum":145152,"residue":16},{"from_index":883,"to_index":107,"sum":144766,"residue":402}],"minimal_cycle":[402,16,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[107,495],"circle_positions":772,"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":[108,496,884],"clock_positions":[108,496,884],"native_values":[704,511,125],"rotation_degrees":33.402061855670105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,511,125],"beta":{"interval_sums":[147520,144818,144818],"interval_residues":[68,454,454],"display_cycle":[68,454,454],"intervals":[{"from_index":108,"to_index":496,"sum":147520,"residue":68},{"from_index":496,"to_index":884,"sum":144818,"residue":454},{"from_index":884,"to_index":108,"sum":144818,"residue":454}],"minimal_cycle":[68,454,454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[108,496],"circle_positions":772,"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":[109,497,885],"clock_positions":[109,497,885],"native_values":[109,109,302],"rotation_degrees":33.71134020618557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,109,302],"beta":{"interval_sums":[147922,144834,145220],"interval_residues":[470,470,84],"display_cycle":[470,470,84],"intervals":[{"from_index":109,"to_index":497,"sum":147922,"residue":470},{"from_index":497,"to_index":885,"sum":144834,"residue":470},{"from_index":885,"to_index":109,"sum":145220,"residue":84}],"minimal_cycle":[470,470,84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[109,497],"circle_positions":772,"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":[110,498,886],"clock_positions":[110,498,886],"native_values":[41,620,427],"rotation_degrees":34.02061855670103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,620,427],"beta":{"interval_sums":[147990,144516,144902],"interval_residues":[538,152,538],"display_cycle":[538,152,538],"intervals":[{"from_index":110,"to_index":498,"sum":147990,"residue":538},{"from_index":498,"to_index":886,"sum":144516,"residue":152},{"from_index":886,"to_index":110,"sum":144902,"residue":538}],"minimal_cycle":[538,152,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[110,498],"circle_positions":772,"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":[111,499,887],"clock_positions":[111,499,887],"native_values":[150,729,729],"rotation_degrees":34.329896907216494,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[150,729,729],"beta":{"interval_sums":[148460,144214,144214],"interval_residues":[236,622,622],"display_cycle":[236,622,622],"intervals":[{"from_index":111,"to_index":499,"sum":148460,"residue":236},{"from_index":499,"to_index":887,"sum":144214,"residue":622},{"from_index":887,"to_index":111,"sum":144214,"residue":622}],"minimal_cycle":[236,622,622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":236,"start_interval_clock_positions":[111,499],"circle_positions":772,"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":[112,500,888],"clock_positions":[112,500,888],"native_values":[191,577,384],"rotation_degrees":34.63917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,577,384],"beta":{"interval_sums":[148998,144366,143980],"interval_residues":[2,2,388],"display_cycle":[2,2,388],"intervals":[{"from_index":112,"to_index":500,"sum":148998,"residue":2},{"from_index":500,"to_index":888,"sum":144366,"residue":2},{"from_index":888,"to_index":112,"sum":143980,"residue":388}],"minimal_cycle":[2,2,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[112,500],"circle_positions":772,"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":[113,501,889],"clock_positions":[113,501,889],"native_values":[341,534,341],"rotation_degrees":34.94845360824742,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,534,341],"beta":{"interval_sums":[149234,144216,143830],"interval_residues":[238,624,238],"display_cycle":[238,624,238],"intervals":[{"from_index":113,"to_index":501,"sum":149234,"residue":238},{"from_index":501,"to_index":889,"sum":144216,"residue":624},{"from_index":889,"to_index":113,"sum":143830,"residue":238}],"minimal_cycle":[238,624,238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[113,501],"circle_positions":772,"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":[114,502,890],"clock_positions":[114,502,890],"native_values":[532,339,725],"rotation_degrees":35.25773195876289,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,339,725],"beta":{"interval_sums":[149236,144218,143446],"interval_residues":[240,626,626],"display_cycle":[240,626,626],"intervals":[{"from_index":114,"to_index":502,"sum":149236,"residue":240},{"from_index":502,"to_index":890,"sum":144218,"residue":626},{"from_index":890,"to_index":114,"sum":143446,"residue":626}],"minimal_cycle":[240,626,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[114,502],"circle_positions":772,"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":[115,503,891],"clock_positions":[115,503,891],"native_values":[101,101,294],"rotation_degrees":35.56701030927835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,101,294],"beta":{"interval_sums":[149474,144842,143684],"interval_residues":[478,478,92],"display_cycle":[478,478,92],"intervals":[{"from_index":115,"to_index":503,"sum":149474,"residue":478},{"from_index":503,"to_index":891,"sum":144842,"residue":478},{"from_index":891,"to_index":115,"sum":143684,"residue":92}],"minimal_cycle":[478,478,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":478,"start_interval_clock_positions":[115,503],"circle_positions":772,"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":[116,504,892],"clock_positions":[116,504,892],"native_values":[633,440,247],"rotation_degrees":35.876288659793815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,440,247],"beta":{"interval_sums":[148942,144696,143538],"interval_residues":[718,332,718],"display_cycle":[718,332,718],"intervals":[{"from_index":116,"to_index":504,"sum":148942,"residue":718},{"from_index":504,"to_index":892,"sum":144696,"residue":332},{"from_index":892,"to_index":116,"sum":143538,"residue":718}],"minimal_cycle":[718,332,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[116,504],"circle_positions":772,"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":[117,505,893],"clock_positions":[117,505,893],"native_values":[734,541,541],"rotation_degrees":36.18556701030928,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,541,541],"beta":{"interval_sums":[148648,144402,143630],"interval_residues":[424,38,38],"display_cycle":[424,38,38],"intervals":[{"from_index":117,"to_index":505,"sum":148648,"residue":424},{"from_index":505,"to_index":893,"sum":144402,"residue":38},{"from_index":893,"to_index":117,"sum":143630,"residue":38}],"minimal_cycle":[424,38,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[117,505],"circle_positions":772,"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":[118,506,894],"clock_positions":[118,506,894],"native_values":[595,209,16],"rotation_degrees":36.49484536082474,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,209,16],"beta":{"interval_sums":[148594,144734,144348],"interval_residues":[370,370,756],"display_cycle":[370,370,756],"intervals":[{"from_index":118,"to_index":506,"sum":148594,"residue":370},{"from_index":506,"to_index":894,"sum":144734,"residue":370},{"from_index":894,"to_index":118,"sum":144348,"residue":756}],"minimal_cycle":[370,370,756],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[118,506],"circle_positions":772,"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":[119,507,895],"clock_positions":[119,507,895],"native_values":[557,750,557],"rotation_degrees":36.8041237113402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,750,557],"beta":{"interval_sums":[148246,144000,144386],"interval_residues":[22,408,22],"display_cycle":[22,408,22],"intervals":[{"from_index":119,"to_index":507,"sum":148246,"residue":22},{"from_index":507,"to_index":895,"sum":144000,"residue":408},{"from_index":895,"to_index":119,"sum":144386,"residue":22}],"minimal_cycle":[22,408,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[119,507],"circle_positions":772,"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":[120,508,896],"clock_positions":[120,508,896],"native_values":[380,187,573],"rotation_degrees":37.11340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,187,573],"beta":{"interval_sums":[148616,144370,144370],"interval_residues":[392,6,6],"display_cycle":[392,6,6],"intervals":[{"from_index":120,"to_index":508,"sum":148616,"residue":392},{"from_index":508,"to_index":896,"sum":144370,"residue":6},{"from_index":896,"to_index":120,"sum":144370,"residue":6}],"minimal_cycle":[392,6,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[120,508],"circle_positions":772,"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":[121,509,897],"clock_positions":[121,509,897],"native_values":[165,165,358],"rotation_degrees":37.422680412371136,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,165,358],"beta":{"interval_sums":[148638,144778,144392],"interval_residues":[414,414,28],"display_cycle":[414,414,28],"intervals":[{"from_index":121,"to_index":509,"sum":148638,"residue":414},{"from_index":509,"to_index":897,"sum":144778,"residue":414},{"from_index":897,"to_index":121,"sum":144392,"residue":28}],"minimal_cycle":[414,414,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[121,509],"circle_positions":772,"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":[122,510,898],"clock_positions":[122,510,898],"native_values":[545,352,159],"rotation_degrees":37.7319587628866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,352,159],"beta":{"interval_sums":[148258,144784,144398],"interval_residues":[34,420,34],"display_cycle":[34,420,34],"intervals":[{"from_index":122,"to_index":510,"sum":148258,"residue":34},{"from_index":510,"to_index":898,"sum":144784,"residue":420},{"from_index":898,"to_index":122,"sum":144398,"residue":34}],"minimal_cycle":[34,420,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[122,510],"circle_positions":772,"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":[123,511,899],"clock_positions":[123,511,899],"native_values":[710,517,517],"rotation_degrees":38.04123711340206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,517,517],"beta":{"interval_sums":[147900,144426,144426],"interval_residues":[448,62,62],"display_cycle":[448,62,62],"intervals":[{"from_index":123,"to_index":511,"sum":147900,"residue":448},{"from_index":511,"to_index":899,"sum":144426,"residue":62},{"from_index":899,"to_index":123,"sum":144426,"residue":62}],"minimal_cycle":[448,62,62],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[123,511],"circle_positions":772,"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":[124,512,900],"clock_positions":[124,512,900],"native_values":[483,97,676],"rotation_degrees":38.350515463917525,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,97,676],"beta":{"interval_sums":[147934,144846,144460],"interval_residues":[482,482,96],"display_cycle":[482,482,96],"intervals":[{"from_index":124,"to_index":512,"sum":147934,"residue":482},{"from_index":512,"to_index":900,"sum":144846,"residue":482},{"from_index":900,"to_index":124,"sum":144460,"residue":96}],"minimal_cycle":[482,482,96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[124,512],"circle_positions":772,"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":[125,513,901],"clock_positions":[125,513,901],"native_values":[421,614,421],"rotation_degrees":38.65979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,614,421],"beta":{"interval_sums":[147610,144908,144522],"interval_residues":[158,544,158],"display_cycle":[158,544,158],"intervals":[{"from_index":125,"to_index":513,"sum":147610,"residue":158},{"from_index":513,"to_index":901,"sum":144908,"residue":544},{"from_index":901,"to_index":125,"sum":144522,"residue":158}],"minimal_cycle":[158,544,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[125,513],"circle_positions":772,"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":[126,514,902],"clock_positions":[126,514,902],"native_values":[132,711,325],"rotation_degrees":38.96907216494845,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,711,325],"beta":{"interval_sums":[148092,144618,144618],"interval_residues":[640,254,254],"display_cycle":[640,254,254],"intervals":[{"from_index":126,"to_index":514,"sum":148092,"residue":640},{"from_index":514,"to_index":902,"sum":144618,"residue":254},{"from_index":902,"to_index":126,"sum":144618,"residue":254}],"minimal_cycle":[640,254,254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[126,514],"circle_positions":772,"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":[127,515,903],"clock_positions":[127,515,903],"native_values":[553,553,746],"rotation_degrees":39.27835051546392,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,553,746],"beta":{"interval_sums":[148250,144390,144004],"interval_residues":[26,26,412],"display_cycle":[26,26,412],"intervals":[{"from_index":127,"to_index":515,"sum":148250,"residue":26},{"from_index":515,"to_index":903,"sum":144390,"residue":26},{"from_index":903,"to_index":127,"sum":144004,"residue":412}],"minimal_cycle":[26,26,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[127,515],"circle_positions":772,"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":[128,516,904],"clock_positions":[128,516,904],"native_values":[685,492,299],"rotation_degrees":39.58762886597938,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,492,299],"beta":{"interval_sums":[148118,144644,144258],"interval_residues":[666,280,666],"display_cycle":[666,280,666],"intervals":[{"from_index":128,"to_index":516,"sum":148118,"residue":666},{"from_index":516,"to_index":904,"sum":144644,"residue":280},{"from_index":904,"to_index":128,"sum":144258,"residue":666}],"minimal_cycle":[666,280,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[128,516],"circle_positions":772,"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":[129,517,905],"clock_positions":[129,517,905],"native_values":[466,273,273],"rotation_degrees":39.896907216494846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,273,273],"beta":{"interval_sums":[148144,144670,144670],"interval_residues":[692,306,306],"display_cycle":[692,306,306],"intervals":[{"from_index":129,"to_index":517,"sum":148144,"residue":692},{"from_index":517,"to_index":905,"sum":144670,"residue":306},{"from_index":905,"to_index":129,"sum":144670,"residue":306}],"minimal_cycle":[692,306,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[129,517],"circle_positions":772,"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":[130,518,906],"clock_positions":[130,518,906],"native_values":[379,765,572],"rotation_degrees":40.20618556701031,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,765,572],"beta":{"interval_sums":[148038,144178,144564],"interval_residues":[586,586,200],"display_cycle":[586,586,200],"intervals":[{"from_index":130,"to_index":518,"sum":148038,"residue":586},{"from_index":518,"to_index":906,"sum":144178,"residue":586},{"from_index":906,"to_index":130,"sum":144564,"residue":200}],"minimal_cycle":[586,586,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[130,518],"circle_positions":772,"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":[131,519,907],"clock_positions":[131,519,907],"native_values":[73,266,73],"rotation_degrees":40.51546391752577,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,266,73],"beta":{"interval_sums":[148730,144484,144870],"interval_residues":[506,120,506],"display_cycle":[506,120,506],"intervals":[{"from_index":131,"to_index":519,"sum":148730,"residue":506},{"from_index":519,"to_index":907,"sum":144484,"residue":120},{"from_index":907,"to_index":131,"sum":144870,"residue":506}],"minimal_cycle":[506,120,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[131,519],"circle_positions":772,"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":[132,520,908],"clock_positions":[132,520,908],"native_values":[452,259,645],"rotation_degrees":40.824742268041234,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,259,645],"beta":{"interval_sums":[148544,144298,144298],"interval_residues":[320,706,706],"display_cycle":[320,706,706],"intervals":[{"from_index":132,"to_index":520,"sum":148544,"residue":320},{"from_index":520,"to_index":908,"sum":144298,"residue":706},{"from_index":908,"to_index":132,"sum":144298,"residue":706}],"minimal_cycle":[320,706,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[132,520],"circle_positions":772,"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":[133,521,909],"clock_positions":[133,521,909],"native_values":[525,525,718],"rotation_degrees":41.134020618556704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,525,718],"beta":{"interval_sums":[148278,144418,144032],"interval_residues":[54,54,440],"display_cycle":[54,54,440],"intervals":[{"from_index":133,"to_index":521,"sum":148278,"residue":54},{"from_index":521,"to_index":909,"sum":144418,"residue":54},{"from_index":909,"to_index":133,"sum":144032,"residue":440}],"minimal_cycle":[54,54,440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[133,521],"circle_positions":772,"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":[134,522,910],"clock_positions":[134,522,910],"native_values":[205,12,591],"rotation_degrees":41.44329896907217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,12,591],"beta":{"interval_sums":[148598,145124,143966],"interval_residues":[374,760,374],"display_cycle":[374,760,374],"intervals":[{"from_index":134,"to_index":522,"sum":148598,"residue":374},{"from_index":522,"to_index":910,"sum":145124,"residue":760},{"from_index":910,"to_index":134,"sum":143966,"residue":374}],"minimal_cycle":[374,760,374],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[134,522],"circle_positions":772,"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":[135,523,911],"clock_positions":[135,523,911],"native_values":[730,537,537],"rotation_degrees":41.75257731958763,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,537,537],"beta":{"interval_sums":[147880,145178,143634],"interval_residues":[428,42,42],"display_cycle":[428,42,42],"intervals":[{"from_index":135,"to_index":523,"sum":147880,"residue":428},{"from_index":523,"to_index":911,"sum":145178,"residue":42},{"from_index":911,"to_index":135,"sum":143634,"residue":42}],"minimal_cycle":[428,42,42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[135,523],"circle_positions":772,"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":[136,524,912],"clock_positions":[136,524,912],"native_values":[163,549,356],"rotation_degrees":42.06185567010309,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,549,356],"beta":{"interval_sums":[148254,145166,144008],"interval_residues":[30,30,416],"display_cycle":[30,30,416],"intervals":[{"from_index":136,"to_index":524,"sum":148254,"residue":30},{"from_index":524,"to_index":912,"sum":145166,"residue":30},{"from_index":912,"to_index":136,"sum":144008,"residue":416}],"minimal_cycle":[30,30,416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[136,524],"circle_positions":772,"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":[137,525,913],"clock_positions":[137,525,913],"native_values":[121,314,121],"rotation_degrees":42.371134020618555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,314,121],"beta":{"interval_sums":[148682,145208,144050],"interval_residues":[458,72,458],"display_cycle":[458,72,458],"intervals":[{"from_index":137,"to_index":525,"sum":148682,"residue":458},{"from_index":525,"to_index":913,"sum":145208,"residue":72},{"from_index":913,"to_index":137,"sum":144050,"residue":458}],"minimal_cycle":[458,72,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[137,525],"circle_positions":772,"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":[138,526,914],"clock_positions":[138,526,914],"native_values":[284,91,477],"rotation_degrees":42.68041237113402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,91,477],"beta":{"interval_sums":[148712,145238,143694],"interval_residues":[488,102,102],"display_cycle":[488,102,102],"intervals":[{"from_index":138,"to_index":526,"sum":148712,"residue":488},{"from_index":526,"to_index":914,"sum":145238,"residue":102},{"from_index":914,"to_index":138,"sum":143694,"residue":102}],"minimal_cycle":[488,102,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[138,526],"circle_positions":772,"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":[139,527,915],"clock_positions":[139,527,915],"native_values":[405,405,598],"rotation_degrees":42.98969072164948,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,598],"beta":{"interval_sums":[148398,145310,143380],"interval_residues":[174,174,560],"display_cycle":[174,174,560],"intervals":[{"from_index":139,"to_index":527,"sum":148398,"residue":174},{"from_index":527,"to_index":915,"sum":145310,"residue":174},{"from_index":915,"to_index":139,"sum":143380,"residue":560}],"minimal_cycle":[174,174,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[139,527],"circle_positions":772,"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":[140,528,916],"clock_positions":[140,528,916],"native_values":[689,496,303],"rotation_degrees":43.29896907216495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,496,303],"beta":{"interval_sums":[148114,145412,143482],"interval_residues":[662,276,662],"display_cycle":[662,276,662],"intervals":[{"from_index":140,"to_index":528,"sum":148114,"residue":662},{"from_index":528,"to_index":916,"sum":145412,"residue":276},{"from_index":916,"to_index":140,"sum":143482,"residue":662}],"minimal_cycle":[662,276,662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[140,528],"circle_positions":772,"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":[141,529,917],"clock_positions":[141,529,917],"native_values":[322,129,129],"rotation_degrees":43.608247422680414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,129,129],"beta":{"interval_sums":[148288,145586,144042],"interval_residues":[64,450,450],"display_cycle":[64,450,450],"intervals":[{"from_index":141,"to_index":529,"sum":148288,"residue":64},{"from_index":529,"to_index":917,"sum":145586,"residue":450},{"from_index":917,"to_index":141,"sum":144042,"residue":450}],"minimal_cycle":[64,450,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":64,"start_interval_clock_positions":[141,529],"circle_positions":772,"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":[142,530,918],"clock_positions":[142,530,918],"native_values":[239,625,432],"rotation_degrees":43.91752577319588,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,625,432],"beta":{"interval_sums":[148178,145090,143932],"interval_residues":[726,726,340],"display_cycle":[726,726,340],"intervals":[{"from_index":142,"to_index":530,"sum":148178,"residue":726},{"from_index":530,"to_index":918,"sum":145090,"residue":726},{"from_index":918,"to_index":142,"sum":143932,"residue":340}],"minimal_cycle":[726,726,340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[142,530],"circle_positions":772,"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":[143,531,919],"clock_positions":[143,531,919],"native_values":[561,754,561],"rotation_degrees":44.22680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,754,561],"beta":{"interval_sums":[148242,144768,143610],"interval_residues":[18,404,18],"display_cycle":[18,404,18],"intervals":[{"from_index":143,"to_index":531,"sum":148242,"residue":18},{"from_index":531,"to_index":919,"sum":144768,"residue":404},{"from_index":919,"to_index":143,"sum":143610,"residue":18}],"minimal_cycle":[18,404,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[143,531],"circle_positions":772,"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":[144,532,920],"clock_positions":[144,532,920],"native_values":[28,607,221],"rotation_degrees":44.5360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[28,607,221],"beta":{"interval_sums":[148968,144722,143950],"interval_residues":[744,358,358],"display_cycle":[744,358,358],"intervals":[{"from_index":144,"to_index":532,"sum":148968,"residue":744},{"from_index":532,"to_index":920,"sum":144722,"residue":358},{"from_index":920,"to_index":144,"sum":143950,"residue":358}],"minimal_cycle":[744,358,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":744,"start_interval_clock_positions":[144,532],"circle_positions":772,"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":[145,533,921],"clock_positions":[145,533,921],"native_values":[589,589,10],"rotation_degrees":44.845360824742265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,589,10],"beta":{"interval_sums":[148986,144354,143968],"interval_residues":[762,762,376],"display_cycle":[762,762,376],"intervals":[{"from_index":145,"to_index":533,"sum":148986,"residue":762},{"from_index":533,"to_index":921,"sum":144354,"residue":762},{"from_index":921,"to_index":145,"sum":143968,"residue":376}],"minimal_cycle":[762,762,376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":762,"start_interval_clock_positions":[145,533],"circle_positions":772,"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":[146,534,922],"clock_positions":[146,534,922],"native_values":[617,424,231],"rotation_degrees":45.154639175257735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,424,231],"beta":{"interval_sums":[148958,143940,144326],"interval_residues":[734,348,734],"display_cycle":[734,348,734],"intervals":[{"from_index":146,"to_index":534,"sum":148958,"residue":734},{"from_index":534,"to_index":922,"sum":143940,"residue":348},{"from_index":922,"to_index":146,"sum":144326,"residue":734}],"minimal_cycle":[734,348,734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[146,534],"circle_positions":772,"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":[147,535,923],"clock_positions":[147,535,923],"native_values":[434,241,241],"rotation_degrees":45.4639175257732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,241,241],"beta":{"interval_sums":[148948,143930,144702],"interval_residues":[724,338,338],"display_cycle":[724,338,338],"intervals":[{"from_index":147,"to_index":535,"sum":148948,"residue":724},{"from_index":535,"to_index":923,"sum":143930,"residue":338},{"from_index":923,"to_index":147,"sum":144702,"residue":338}],"minimal_cycle":[724,338,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[147,535],"circle_positions":772,"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":[148,536,924],"clock_positions":[148,536,924],"native_values":[279,665,472],"rotation_degrees":45.77319587628866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,665,472],"beta":{"interval_sums":[148910,143506,144664],"interval_residues":[686,686,300],"display_cycle":[686,686,300],"intervals":[{"from_index":148,"to_index":536,"sum":148910,"residue":686},{"from_index":536,"to_index":924,"sum":143506,"residue":686},{"from_index":924,"to_index":148,"sum":144664,"residue":300}],"minimal_cycle":[686,686,300],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[148,536],"circle_positions":772,"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":[149,537,925],"clock_positions":[149,537,925],"native_values":[713,134,713],"rotation_degrees":46.08247422680412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,134,713],"beta":{"interval_sums":[148862,143844,144230],"interval_residues":[638,252,638],"display_cycle":[638,252,638],"intervals":[{"from_index":149,"to_index":537,"sum":148862,"residue":638},{"from_index":537,"to_index":925,"sum":143844,"residue":252},{"from_index":925,"to_index":149,"sum":144230,"residue":638}],"minimal_cycle":[638,252,638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[149,537],"circle_positions":772,"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":[150,538,926],"clock_positions":[150,538,926],"native_values":[220,27,413],"rotation_degrees":46.391752577319586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,27,413],"beta":{"interval_sums":[148776,144530,144530],"interval_residues":[552,166,166],"display_cycle":[552,166,166],"intervals":[{"from_index":150,"to_index":538,"sum":148776,"residue":552},{"from_index":538,"to_index":926,"sum":144530,"residue":166},{"from_index":926,"to_index":150,"sum":144530,"residue":166}],"minimal_cycle":[552,166,166],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[150,538],"circle_positions":772,"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":[151,539,927],"clock_positions":[151,539,927],"native_values":[161,161,354],"rotation_degrees":46.70103092783505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,161,354],"beta":{"interval_sums":[148642,144782,144396],"interval_residues":[418,418,32],"display_cycle":[418,418,32],"intervals":[{"from_index":151,"to_index":539,"sum":148642,"residue":418},{"from_index":539,"to_index":927,"sum":144782,"residue":418},{"from_index":927,"to_index":151,"sum":144396,"residue":32}],"minimal_cycle":[418,418,32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[151,539],"circle_positions":772,"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":[152,540,928],"clock_positions":[152,540,928],"native_values":[381,188,767],"rotation_degrees":47.01030927835052,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,188,767],"beta":{"interval_sums":[148422,144948,143790],"interval_residues":[198,584,198],"display_cycle":[198,584,198],"intervals":[{"from_index":152,"to_index":540,"sum":148422,"residue":198},{"from_index":540,"to_index":928,"sum":144948,"residue":584},{"from_index":928,"to_index":152,"sum":143790,"residue":198}],"minimal_cycle":[198,584,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[152,540],"circle_positions":772,"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":[153,541,929],"clock_positions":[153,541,929],"native_values":[542,349,349],"rotation_degrees":47.31958762886598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[542,349,349],"beta":{"interval_sums":[148068,145366,143822],"interval_residues":[616,230,230],"display_cycle":[616,230,230],"intervals":[{"from_index":153,"to_index":541,"sum":148068,"residue":616},{"from_index":541,"to_index":929,"sum":145366,"residue":230},{"from_index":929,"to_index":153,"sum":143822,"residue":230}],"minimal_cycle":[616,230,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[153,541],"circle_positions":772,"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":[154,542,930],"clock_positions":[154,542,930],"native_values":[151,537,344],"rotation_degrees":47.628865979381445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,537,344],"beta":{"interval_sums":[148266,145178,144020],"interval_residues":[42,42,428],"display_cycle":[42,42,428],"intervals":[{"from_index":154,"to_index":542,"sum":148266,"residue":42},{"from_index":542,"to_index":930,"sum":145178,"residue":42},{"from_index":930,"to_index":154,"sum":144020,"residue":428}],"minimal_cycle":[42,42,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[154,542],"circle_positions":772,"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":[155,543,931],"clock_positions":[155,543,931],"native_values":[693,114,693],"rotation_degrees":47.93814432989691,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[693,114,693],"beta":{"interval_sums":[148110,145408,143478],"interval_residues":[658,272,658],"display_cycle":[658,272,658],"intervals":[{"from_index":155,"to_index":543,"sum":148110,"residue":658},{"from_index":543,"to_index":931,"sum":145408,"residue":272},{"from_index":931,"to_index":155,"sum":143478,"residue":658}],"minimal_cycle":[658,272,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[155,543],"circle_positions":772,"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":[156,544,932],"clock_positions":[156,544,932],"native_values":[72,651,265],"rotation_degrees":48.24742268041237,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,651,265],"beta":{"interval_sums":[148152,145450,143906],"interval_residues":[700,314,314],"display_cycle":[700,314,314],"intervals":[{"from_index":156,"to_index":544,"sum":148152,"residue":700},{"from_index":544,"to_index":932,"sum":145450,"residue":314},{"from_index":932,"to_index":156,"sum":143906,"residue":314}],"minimal_cycle":[700,314,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[156,544],"circle_positions":772,"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":[157,545,933],"clock_positions":[157,545,933],"native_values":[765,765,186],"rotation_degrees":48.55670103092783,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[765,765,186],"beta":{"interval_sums":[148038,144950,143792],"interval_residues":[586,586,200],"display_cycle":[586,586,200],"intervals":[{"from_index":157,"to_index":545,"sum":148038,"residue":586},{"from_index":545,"to_index":933,"sum":144950,"residue":586},{"from_index":933,"to_index":157,"sum":143792,"residue":200}],"minimal_cycle":[586,586,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[157,545],"circle_positions":772,"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":[158,546,934],"clock_positions":[158,546,934],"native_values":[65,644,451],"rotation_degrees":48.865979381443296,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,644,451],"beta":{"interval_sums":[148738,144492,144106],"interval_residues":[514,128,514],"display_cycle":[514,128,514],"intervals":[{"from_index":158,"to_index":546,"sum":148738,"residue":514},{"from_index":546,"to_index":934,"sum":144492,"residue":128},{"from_index":934,"to_index":158,"sum":144106,"residue":514}],"minimal_cycle":[514,128,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[158,546],"circle_positions":772,"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":[159,547,935],"clock_positions":[159,547,935],"native_values":[58,637,637],"rotation_degrees":49.175257731958766,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[58,637,637],"beta":{"interval_sums":[149324,144306,143534],"interval_residues":[328,714,714],"display_cycle":[328,714,714],"intervals":[{"from_index":159,"to_index":547,"sum":149324,"residue":328},{"from_index":547,"to_index":935,"sum":144306,"residue":714},{"from_index":935,"to_index":159,"sum":143534,"residue":714}],"minimal_cycle":[328,714,714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[159,547],"circle_positions":772,"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":[160,548,936],"clock_positions":[160,548,936],"native_values":[123,509,316],"rotation_degrees":49.48453608247423,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,509,316],"beta":{"interval_sums":[149838,144434,143276],"interval_residues":[70,70,456],"display_cycle":[70,70,456],"intervals":[{"from_index":160,"to_index":548,"sum":149838,"residue":70},{"from_index":548,"to_index":936,"sum":144434,"residue":70},{"from_index":936,"to_index":160,"sum":143276,"residue":456}],"minimal_cycle":[70,70,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[160,548],"circle_positions":772,"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":[161,549,937],"clock_positions":[161,549,937],"native_values":[181,374,181],"rotation_degrees":49.79381443298969,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,374,181],"beta":{"interval_sums":[150166,144376,143218],"interval_residues":[398,12,398],"display_cycle":[398,12,398],"intervals":[{"from_index":161,"to_index":549,"sum":150166,"residue":398},{"from_index":549,"to_index":937,"sum":144376,"residue":12},{"from_index":937,"to_index":161,"sum":143218,"residue":398}],"minimal_cycle":[398,12,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[161,549],"circle_positions":772,"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":[162,550,938],"clock_positions":[162,550,938],"native_values":[304,111,497],"rotation_degrees":50.103092783505154,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,111,497],"beta":{"interval_sums":[150236,144446,142902],"interval_residues":[468,82,82],"display_cycle":[468,82,82],"intervals":[{"from_index":162,"to_index":550,"sum":150236,"residue":468},{"from_index":550,"to_index":938,"sum":144446,"residue":82},{"from_index":938,"to_index":162,"sum":142902,"residue":82}],"minimal_cycle":[468,82,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[162,550],"circle_positions":772,"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":[163,551,939],"clock_positions":[163,551,939],"native_values":[485,485,678],"rotation_degrees":50.41237113402062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,485,678],"beta":{"interval_sums":[149862,144458,142528],"interval_residues":[94,94,480],"display_cycle":[94,94,480],"intervals":[{"from_index":163,"to_index":551,"sum":149862,"residue":94},{"from_index":551,"to_index":939,"sum":144458,"residue":94},{"from_index":939,"to_index":163,"sum":142528,"residue":480}],"minimal_cycle":[94,94,480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[163,551],"circle_positions":772,"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":[164,552,940],"clock_positions":[164,552,940],"native_values":[17,596,403],"rotation_degrees":50.72164948453608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,596,403],"beta":{"interval_sums":[150330,144540,142610],"interval_residues":[562,176,562],"display_cycle":[562,176,562],"intervals":[{"from_index":164,"to_index":552,"sum":150330,"residue":562},{"from_index":552,"to_index":940,"sum":144540,"residue":176},{"from_index":940,"to_index":164,"sum":142610,"residue":562}],"minimal_cycle":[562,176,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[164,552],"circle_positions":772,"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":[165,553,941],"clock_positions":[165,553,941],"native_values":[502,309,309],"rotation_degrees":51.03092783505155,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,309,309],"beta":{"interval_sums":[150424,144634,142318],"interval_residues":[656,270,270],"display_cycle":[656,270,270],"intervals":[{"from_index":165,"to_index":553,"sum":150424,"residue":656},{"from_index":553,"to_index":941,"sum":144634,"residue":270},{"from_index":941,"to_index":165,"sum":142318,"residue":270}],"minimal_cycle":[656,270,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":656,"start_interval_clock_positions":[165,553],"circle_positions":772,"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":[166,554,942],"clock_positions":[166,554,942],"native_values":[519,133,712],"rotation_degrees":51.34020618556701,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,133,712],"beta":{"interval_sums":[150214,144810,142108],"interval_residues":[446,446,60],"display_cycle":[446,446,60],"intervals":[{"from_index":166,"to_index":554,"sum":150214,"residue":446},{"from_index":554,"to_index":942,"sum":144810,"residue":446},{"from_index":942,"to_index":166,"sum":142108,"residue":60}],"minimal_cycle":[446,446,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[166,554],"circle_positions":772,"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":[167,555,943],"clock_positions":[167,555,943],"native_values":[249,442,249],"rotation_degrees":51.649484536082475,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,442,249],"beta":{"interval_sums":[150098,145080,142378],"interval_residues":[330,716,330],"display_cycle":[330,716,330],"intervals":[{"from_index":167,"to_index":555,"sum":150098,"residue":330},{"from_index":555,"to_index":943,"sum":145080,"residue":716},{"from_index":943,"to_index":167,"sum":142378,"residue":330}],"minimal_cycle":[330,716,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[167,555],"circle_positions":772,"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":[168,556,944],"clock_positions":[168,556,944],"native_values":[768,575,189],"rotation_degrees":51.95876288659794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,575,189],"beta":{"interval_sums":[149772,144754,142438],"interval_residues":[4,390,390],"display_cycle":[4,390,390],"intervals":[{"from_index":168,"to_index":556,"sum":149772,"residue":4},{"from_index":556,"to_index":944,"sum":144754,"residue":390},{"from_index":944,"to_index":168,"sum":142438,"residue":390}],"minimal_cycle":[4,390,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[168,556],"circle_positions":772,"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":[169,557,945],"clock_positions":[169,557,945],"native_values":[245,245,438],"rotation_degrees":52.2680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,245,438],"beta":{"interval_sums":[150102,144698,142768],"interval_residues":[334,334,720],"display_cycle":[334,334,720],"intervals":[{"from_index":169,"to_index":557,"sum":150102,"residue":334},{"from_index":557,"to_index":945,"sum":144698,"residue":334},{"from_index":945,"to_index":169,"sum":142768,"residue":720}],"minimal_cycle":[334,334,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[169,557],"circle_positions":772,"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":[170,558,946],"clock_positions":[170,558,946],"native_values":[241,48,627],"rotation_degrees":52.577319587628864,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,48,627],"beta":{"interval_sums":[150106,145088,142386],"interval_residues":[338,724,338],"display_cycle":[338,724,338],"intervals":[{"from_index":170,"to_index":558,"sum":150106,"residue":338},{"from_index":558,"to_index":946,"sum":145088,"residue":724},{"from_index":946,"to_index":170,"sum":142386,"residue":338}],"minimal_cycle":[338,724,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[170,558],"circle_positions":772,"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":[171,559,947],"clock_positions":[171,559,947],"native_values":[486,293,293],"rotation_degrees":52.88659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,293,293],"beta":{"interval_sums":[149668,145422,142334],"interval_residues":[672,286,286],"display_cycle":[672,286,286],"intervals":[{"from_index":171,"to_index":559,"sum":149668,"residue":672},{"from_index":559,"to_index":947,"sum":145422,"residue":286},{"from_index":947,"to_index":171,"sum":142334,"residue":286}],"minimal_cycle":[672,286,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[171,559],"circle_positions":772,"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":[172,560,948],"clock_positions":[172,560,948],"native_values":[727,341,148],"rotation_degrees":53.1958762886598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,341,148],"beta":{"interval_sums":[149234,145374,142672],"interval_residues":[238,238,624],"display_cycle":[238,238,624],"intervals":[{"from_index":172,"to_index":560,"sum":149234,"residue":238},{"from_index":560,"to_index":948,"sum":145374,"residue":238},{"from_index":948,"to_index":172,"sum":142672,"residue":624}],"minimal_cycle":[238,238,624],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[172,560],"circle_positions":772,"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":[173,561,949],"clock_positions":[173,561,949],"native_values":[441,634,441],"rotation_degrees":53.50515463917526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,634,441],"beta":{"interval_sums":[149134,144888,142958],"interval_residues":[138,524,138],"display_cycle":[138,524,138],"intervals":[{"from_index":173,"to_index":561,"sum":149134,"residue":138},{"from_index":561,"to_index":949,"sum":144888,"residue":524},{"from_index":949,"to_index":173,"sum":142958,"residue":138}],"minimal_cycle":[138,524,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[173,561],"circle_positions":772,"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":[174,562,950],"clock_positions":[174,562,950],"native_values":[396,203,589],"rotation_degrees":53.81443298969072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,203,589],"beta":{"interval_sums":[149372,145126,142810],"interval_residues":[376,762,762],"display_cycle":[376,762,762],"intervals":[{"from_index":174,"to_index":562,"sum":149372,"residue":376},{"from_index":562,"to_index":950,"sum":145126,"residue":762},{"from_index":950,"to_index":174,"sum":142810,"residue":762}],"minimal_cycle":[376,762,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[174,562],"circle_positions":772,"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":[175,563,951],"clock_positions":[175,563,951],"native_values":[65,65,258],"rotation_degrees":54.123711340206185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,65,258],"beta":{"interval_sums":[149510,145650,142948],"interval_residues":[514,514,128],"display_cycle":[514,514,128],"intervals":[{"from_index":175,"to_index":563,"sum":149510,"residue":514},{"from_index":563,"to_index":951,"sum":145650,"residue":514},{"from_index":951,"to_index":175,"sum":142948,"residue":128}],"minimal_cycle":[514,514,128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[175,563],"circle_positions":772,"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":[176,564,952],"clock_positions":[176,564,952],"native_values":[461,268,75],"rotation_degrees":54.43298969072165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,268,75],"beta":{"interval_sums":[149114,145640,142938],"interval_residues":[118,504,118],"display_cycle":[118,504,118],"intervals":[{"from_index":176,"to_index":564,"sum":149114,"residue":118},{"from_index":564,"to_index":952,"sum":145640,"residue":504},{"from_index":952,"to_index":176,"sum":142938,"residue":118}],"minimal_cycle":[118,504,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[176,564],"circle_positions":772,"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":[177,565,953],"clock_positions":[177,565,953],"native_values":[526,333,333],"rotation_degrees":54.74226804123711,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[526,333,333],"beta":{"interval_sums":[148856,145382,143066],"interval_residues":[632,246,246],"display_cycle":[632,246,246],"intervals":[{"from_index":177,"to_index":565,"sum":148856,"residue":632},{"from_index":565,"to_index":953,"sum":145382,"residue":246},{"from_index":953,"to_index":177,"sum":143066,"residue":246}],"minimal_cycle":[632,246,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[177,565],"circle_positions":772,"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":[178,566,954],"clock_positions":[178,566,954],"native_values":[215,601,408],"rotation_degrees":55.05154639175258,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,601,408],"beta":{"interval_sums":[148974,145114,143184],"interval_residues":[750,750,364],"display_cycle":[750,750,364],"intervals":[{"from_index":178,"to_index":566,"sum":148974,"residue":750},{"from_index":566,"to_index":954,"sum":145114,"residue":750},{"from_index":954,"to_index":178,"sum":143184,"residue":364}],"minimal_cycle":[750,750,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[178,566],"circle_positions":772,"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":[179,567,955],"clock_positions":[179,567,955],"native_values":[741,162,741],"rotation_degrees":55.36082474226804,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[741,162,741],"beta":{"interval_sums":[148834,145360,142658],"interval_residues":[610,224,610],"display_cycle":[610,224,610],"intervals":[{"from_index":179,"to_index":567,"sum":148834,"residue":610},{"from_index":567,"to_index":955,"sum":145360,"residue":224},{"from_index":955,"to_index":179,"sum":142658,"residue":610}],"minimal_cycle":[610,224,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[179,567],"circle_positions":772,"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":[180,568,956],"clock_positions":[180,568,956],"native_values":[184,763,377],"rotation_degrees":55.670103092783506,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,763,377],"beta":{"interval_sums":[148812,145338,143022],"interval_residues":[588,202,202],"display_cycle":[588,202,202],"intervals":[{"from_index":180,"to_index":568,"sum":148812,"residue":588},{"from_index":568,"to_index":956,"sum":145338,"residue":202},{"from_index":956,"to_index":180,"sum":143022,"residue":202}],"minimal_cycle":[588,202,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[180,568],"circle_positions":772,"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":[181,569,957],"clock_positions":[181,569,957],"native_values":[153,153,346],"rotation_degrees":55.97938144329897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,153,346],"beta":{"interval_sums":[149422,145562,142860],"interval_residues":[426,426,40],"display_cycle":[426,426,40],"intervals":[{"from_index":181,"to_index":569,"sum":149422,"residue":426},{"from_index":569,"to_index":957,"sum":145562,"residue":426},{"from_index":957,"to_index":181,"sum":142860,"residue":40}],"minimal_cycle":[426,426,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[181,569],"circle_positions":772,"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":[182,570,958],"clock_positions":[182,570,958],"native_values":[337,144,723],"rotation_degrees":56.28865979381443,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,144,723],"beta":{"interval_sums":[149238,145764,142290],"interval_residues":[242,628,242],"display_cycle":[242,628,242],"intervals":[{"from_index":182,"to_index":570,"sum":149238,"residue":242},{"from_index":570,"to_index":958,"sum":145764,"residue":628},{"from_index":958,"to_index":182,"sum":142290,"residue":242}],"minimal_cycle":[242,628,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[182,570],"circle_positions":772,"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":[183,571,959],"clock_positions":[183,571,959],"native_values":[490,297,297],"rotation_degrees":56.597938144329895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[490,297,297],"beta":{"interval_sums":[148892,146190,142330],"interval_residues":[668,282,282],"display_cycle":[668,282,282],"intervals":[{"from_index":183,"to_index":571,"sum":148892,"residue":668},{"from_index":571,"to_index":959,"sum":146190,"residue":282},{"from_index":959,"to_index":183,"sum":142330,"residue":282}],"minimal_cycle":[668,282,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":668,"start_interval_clock_positions":[183,571],"circle_positions":772,"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":[184,572,960],"clock_positions":[184,572,960],"native_values":[55,441,248],"rotation_degrees":56.90721649484536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,441,248],"beta":{"interval_sums":[149134,146046,142572],"interval_residues":[138,138,524],"display_cycle":[138,138,524],"intervals":[{"from_index":184,"to_index":572,"sum":149134,"residue":138},{"from_index":572,"to_index":960,"sum":146046,"residue":138},{"from_index":960,"to_index":184,"sum":142572,"residue":524}],"minimal_cycle":[138,138,524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[184,572],"circle_positions":772,"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":[185,573,961],"clock_positions":[185,573,961],"native_values":[545,738,545],"rotation_degrees":57.21649484536083,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,738,545],"beta":{"interval_sums":[149030,145556,142082],"interval_residues":[34,420,34],"display_cycle":[34,420,34],"intervals":[{"from_index":185,"to_index":573,"sum":149030,"residue":34},{"from_index":573,"to_index":961,"sum":145556,"residue":420},{"from_index":961,"to_index":185,"sum":142082,"residue":34}],"minimal_cycle":[34,420,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[185,573],"circle_positions":772,"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":[186,574,962],"clock_positions":[186,574,962],"native_values":[600,407,21],"rotation_degrees":57.52577319587629,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,407,21],"beta":{"interval_sums":[149168,145694,142606],"interval_residues":[172,558,558],"display_cycle":[172,558,558],"intervals":[{"from_index":186,"to_index":574,"sum":149168,"residue":172},{"from_index":574,"to_index":962,"sum":145694,"residue":558},{"from_index":962,"to_index":186,"sum":142606,"residue":558}],"minimal_cycle":[172,558,558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[186,574],"circle_positions":772,"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":[187,575,963],"clock_positions":[187,575,963],"native_values":[373,373,566],"rotation_degrees":57.83505154639175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,373,566],"beta":{"interval_sums":[149202,145342,142640],"interval_residues":[206,206,592],"display_cycle":[206,206,592],"intervals":[{"from_index":187,"to_index":575,"sum":149202,"residue":206},{"from_index":575,"to_index":963,"sum":145342,"residue":206},{"from_index":963,"to_index":187,"sum":142640,"residue":592}],"minimal_cycle":[206,206,592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[187,575],"circle_positions":772,"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":[188,576,964],"clock_positions":[188,576,964],"native_values":[201,8,587],"rotation_degrees":58.144329896907216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,8,587],"beta":{"interval_sums":[149374,145900,142426],"interval_residues":[378,764,378],"display_cycle":[378,764,378],"intervals":[{"from_index":188,"to_index":576,"sum":149374,"residue":378},{"from_index":576,"to_index":964,"sum":145900,"residue":764},{"from_index":964,"to_index":188,"sum":142426,"residue":378}],"minimal_cycle":[378,764,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[188,576],"circle_positions":772,"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":[189,577,965],"clock_positions":[189,577,965],"native_values":[574,381,381],"rotation_degrees":58.45360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,381,381],"beta":{"interval_sums":[148808,146106,142246],"interval_residues":[584,198,198],"display_cycle":[584,198,198],"intervals":[{"from_index":189,"to_index":577,"sum":148808,"residue":584},{"from_index":577,"to_index":965,"sum":146106,"residue":198},{"from_index":965,"to_index":189,"sum":142246,"residue":198}],"minimal_cycle":[584,198,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[189,577],"circle_positions":772,"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":[190,578,966],"clock_positions":[190,578,966],"native_values":[3,389,196],"rotation_degrees":58.76288659793814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,389,196],"beta":{"interval_sums":[149186,146098,142624],"interval_residues":[190,190,576],"display_cycle":[190,190,576],"intervals":[{"from_index":190,"to_index":578,"sum":149186,"residue":190},{"from_index":578,"to_index":966,"sum":146098,"residue":190},{"from_index":966,"to_index":190,"sum":142624,"residue":576}],"minimal_cycle":[190,190,576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":190,"start_interval_clock_positions":[190,578],"circle_positions":772,"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":[191,579,967],"clock_positions":[191,579,967],"native_values":[577,770,577],"rotation_degrees":59.07216494845361,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,770,577],"beta":{"interval_sums":[148998,145524,142050],"interval_residues":[2,388,2],"display_cycle":[2,388,2],"intervals":[{"from_index":191,"to_index":579,"sum":148998,"residue":2},{"from_index":579,"to_index":967,"sum":145524,"residue":388},{"from_index":967,"to_index":191,"sum":142050,"residue":2}],"minimal_cycle":[2,388,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[191,579],"circle_positions":772,"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":[192,580,968],"clock_positions":[192,580,968],"native_values":[580,387,1],"rotation_degrees":59.381443298969074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[580,387,1],"beta":{"interval_sums":[149188,145714,142626],"interval_residues":[192,578,578],"display_cycle":[192,578,578],"intervals":[{"from_index":192,"to_index":580,"sum":149188,"residue":192},{"from_index":580,"to_index":968,"sum":145714,"residue":578},{"from_index":968,"to_index":192,"sum":142626,"residue":578}],"minimal_cycle":[192,578,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[192,580],"circle_positions":772,"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":[193,581,969],"clock_positions":[193,581,969],"native_values":[385,385,578],"rotation_degrees":59.69072164948454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,385,578],"beta":{"interval_sums":[149190,145330,142628],"interval_residues":[194,194,580],"display_cycle":[194,194,580],"intervals":[{"from_index":193,"to_index":581,"sum":149190,"residue":194},{"from_index":581,"to_index":969,"sum":145330,"residue":194},{"from_index":969,"to_index":193,"sum":142628,"residue":580}],"minimal_cycle":[194,194,580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[193,581],"circle_positions":772,"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":[194,582,970],"clock_positions":[194,582,970],"native_values":[193,772,579],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,772,579],"beta":{"interval_sums":[149382,145908,142434],"interval_residues":[386,0,386],"display_cycle":[386,772,386],"intervals":[{"from_index":194,"to_index":582,"sum":149382,"residue":386},{"from_index":582,"to_index":970,"sum":145908,"residue":0},{"from_index":970,"to_index":194,"sum":142434,"residue":386}],"minimal_cycle":[386,0,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[194,582],"circle_positions":772,"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":[195,583,971],"clock_positions":[195,583,971],"native_values":[578,385,385],"rotation_degrees":60.30927835051546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,385,385],"beta":{"interval_sums":[148804,146102,142242],"interval_residues":[580,194,194],"display_cycle":[580,194,194],"intervals":[{"from_index":195,"to_index":583,"sum":148804,"residue":580},{"from_index":583,"to_index":971,"sum":146102,"residue":194},{"from_index":971,"to_index":195,"sum":142242,"residue":194}],"minimal_cycle":[580,194,194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[195,583],"circle_positions":772,"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":[196,584,972],"clock_positions":[196,584,972],"native_values":[771,385,192],"rotation_degrees":60.618556701030926,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[771,385,192],"beta":{"interval_sums":[148418,146102,142628],"interval_residues":[194,194,580],"display_cycle":[194,194,580],"intervals":[{"from_index":196,"to_index":584,"sum":148418,"residue":194},{"from_index":584,"to_index":972,"sum":146102,"residue":194},{"from_index":972,"to_index":196,"sum":142628,"residue":580}],"minimal_cycle":[194,194,580],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[196,584],"circle_positions":772,"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":[197,585,973],"clock_positions":[197,585,973],"native_values":[577,770,577],"rotation_degrees":60.92783505154639,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,770,577],"beta":{"interval_sums":[148226,145524,142822],"interval_residues":[2,388,2],"display_cycle":[2,388,2],"intervals":[{"from_index":197,"to_index":585,"sum":148226,"residue":2},{"from_index":585,"to_index":973,"sum":145524,"residue":388},{"from_index":973,"to_index":197,"sum":142822,"residue":2}],"minimal_cycle":[2,388,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[197,585],"circle_positions":772,"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":[198,586,974],"clock_positions":[198,586,974],"native_values":[576,383,769],"rotation_degrees":61.23711340206186,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[576,383,769],"beta":{"interval_sums":[148420,145718,142630],"interval_residues":[196,582,582],"display_cycle":[196,582,582],"intervals":[{"from_index":198,"to_index":586,"sum":148420,"residue":196},{"from_index":586,"to_index":974,"sum":145718,"residue":582},{"from_index":974,"to_index":198,"sum":142630,"residue":582}],"minimal_cycle":[196,582,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[198,586],"circle_positions":772,"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":[199,587,975],"clock_positions":[199,587,975],"native_values":[381,381,574],"rotation_degrees":61.54639175257732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,381,574],"beta":{"interval_sums":[148422,146106,142632],"interval_residues":[198,198,584],"display_cycle":[198,198,584],"intervals":[{"from_index":199,"to_index":587,"sum":148422,"residue":198},{"from_index":587,"to_index":975,"sum":146106,"residue":198},{"from_index":975,"to_index":199,"sum":142632,"residue":584}],"minimal_cycle":[198,198,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[199,587],"circle_positions":772,"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":[200,588,976],"clock_positions":[200,588,976],"native_values":[185,764,571],"rotation_degrees":61.855670103092784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,764,571],"beta":{"interval_sums":[148618,145916,142442],"interval_residues":[394,8,394],"display_cycle":[394,8,394],"intervals":[{"from_index":200,"to_index":588,"sum":148618,"residue":394},{"from_index":588,"to_index":976,"sum":145916,"residue":8},{"from_index":976,"to_index":200,"sum":142442,"residue":394}],"minimal_cycle":[394,8,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[200,588],"circle_positions":772,"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":[201,589,977],"clock_positions":[201,589,977],"native_values":[566,373,373],"rotation_degrees":62.16494845360825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[566,373,373],"beta":{"interval_sums":[148816,146114,142254],"interval_residues":[592,206,206],"display_cycle":[592,206,206],"intervals":[{"from_index":201,"to_index":589,"sum":148816,"residue":592},{"from_index":589,"to_index":977,"sum":146114,"residue":206},{"from_index":977,"to_index":201,"sum":142254,"residue":206}],"minimal_cycle":[592,206,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[201,589],"circle_positions":772,"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":[202,590,978],"clock_positions":[202,590,978],"native_values":[751,365,172],"rotation_degrees":62.47422680412371,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[751,365,172],"beta":{"interval_sums":[148438,146122,142648],"interval_residues":[214,214,600],"display_cycle":[214,214,600],"intervals":[{"from_index":202,"to_index":590,"sum":148438,"residue":214},{"from_index":590,"to_index":978,"sum":146122,"residue":214},{"from_index":978,"to_index":202,"sum":142648,"residue":600}],"minimal_cycle":[214,214,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[202,590],"circle_positions":772,"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":[203,591,979],"clock_positions":[203,591,979],"native_values":[545,738,545],"rotation_degrees":62.78350515463917,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,738,545],"beta":{"interval_sums":[148258,145556,142854],"interval_residues":[34,420,34],"display_cycle":[34,420,34],"intervals":[{"from_index":203,"to_index":591,"sum":148258,"residue":34},{"from_index":591,"to_index":979,"sum":145556,"residue":420},{"from_index":979,"to_index":203,"sum":142854,"residue":34}],"minimal_cycle":[34,420,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[203,591],"circle_positions":772,"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":[204,592,980],"clock_positions":[204,592,980],"native_values":[524,331,717],"rotation_degrees":63.09278350515464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,331,717],"beta":{"interval_sums":[148472,145770,142682],"interval_residues":[248,634,634],"display_cycle":[248,634,634],"intervals":[{"from_index":204,"to_index":592,"sum":148472,"residue":248},{"from_index":592,"to_index":980,"sum":145770,"residue":634},{"from_index":980,"to_index":204,"sum":142682,"residue":634}],"minimal_cycle":[248,634,634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[204,592],"circle_positions":772,"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":[205,593,981],"clock_positions":[205,593,981],"native_values":[297,297,490],"rotation_degrees":63.402061855670105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,297,490],"beta":{"interval_sums":[148506,146190,142716],"interval_residues":[282,282,668],"display_cycle":[282,282,668],"intervals":[{"from_index":205,"to_index":593,"sum":148506,"residue":282},{"from_index":593,"to_index":981,"sum":146190,"residue":282},{"from_index":981,"to_index":205,"sum":142716,"residue":668}],"minimal_cycle":[282,282,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[205,593],"circle_positions":772,"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":[206,594,982],"clock_positions":[206,594,982],"native_values":[49,628,435],"rotation_degrees":63.71134020618557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,628,435],"beta":{"interval_sums":[148754,146052,142578],"interval_residues":[530,144,530],"display_cycle":[530,144,530],"intervals":[{"from_index":206,"to_index":594,"sum":148754,"residue":530},{"from_index":594,"to_index":982,"sum":146052,"residue":144},{"from_index":982,"to_index":206,"sum":142578,"residue":530}],"minimal_cycle":[530,144,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[206,594],"circle_positions":772,"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":[207,595,983],"clock_positions":[207,595,983],"native_values":[346,153,153],"rotation_degrees":64.02061855670104,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[346,153,153],"beta":{"interval_sums":[149036,146334,142474],"interval_residues":[40,426,426],"display_cycle":[40,426,426],"intervals":[{"from_index":207,"to_index":595,"sum":149036,"residue":40},{"from_index":595,"to_index":983,"sum":146334,"residue":426},{"from_index":983,"to_index":207,"sum":142474,"residue":426}],"minimal_cycle":[40,426,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[207,595],"circle_positions":772,"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":[208,596,984],"clock_positions":[208,596,984],"native_values":[395,9,588],"rotation_degrees":64.3298969072165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[395,9,588],"beta":{"interval_sums":[148794,146478,142232],"interval_residues":[570,570,184],"display_cycle":[570,570,184],"intervals":[{"from_index":208,"to_index":596,"sum":148794,"residue":570},{"from_index":596,"to_index":984,"sum":146478,"residue":570},{"from_index":984,"to_index":208,"sum":142232,"residue":184}],"minimal_cycle":[570,570,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[208,596],"circle_positions":772,"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":[209,597,985],"clock_positions":[209,597,985],"native_values":[741,162,741],"rotation_degrees":64.63917525773196,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[741,162,741],"beta":{"interval_sums":[148062,146904,141886],"interval_residues":[610,224,610],"display_cycle":[610,224,610],"intervals":[{"from_index":209,"to_index":597,"sum":148062,"residue":610},{"from_index":597,"to_index":985,"sum":146904,"residue":224},{"from_index":985,"to_index":209,"sum":141886,"residue":610}],"minimal_cycle":[610,224,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[209,597],"circle_positions":772,"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":[210,598,986],"clock_positions":[210,598,986],"native_values":[364,171,557],"rotation_degrees":64.94845360824742,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,171,557],"beta":{"interval_sums":[147860,147474,142070],"interval_residues":[408,22,22],"display_cycle":[408,22,22],"intervals":[{"from_index":210,"to_index":598,"sum":147860,"residue":408},{"from_index":598,"to_index":986,"sum":147474,"residue":22},{"from_index":986,"to_index":210,"sum":142070,"residue":22}],"minimal_cycle":[408,22,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[210,598],"circle_positions":772,"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":[211,599,987],"clock_positions":[211,599,987],"native_values":[333,333,526],"rotation_degrees":65.25773195876289,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,333,526],"beta":{"interval_sums":[147698,147698,141908],"interval_residues":[246,246,632],"display_cycle":[246,246,632],"intervals":[{"from_index":211,"to_index":599,"sum":147698,"residue":246},{"from_index":599,"to_index":987,"sum":147698,"residue":246},{"from_index":987,"to_index":211,"sum":141908,"residue":632}],"minimal_cycle":[246,246,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[211,599],"circle_positions":772,"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":[212,600,988],"clock_positions":[212,600,988],"native_values":[697,504,311],"rotation_degrees":65.56701030927834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,504,311],"beta":{"interval_sums":[147334,147720,141930],"interval_residues":[654,268,654],"display_cycle":[654,268,654],"intervals":[{"from_index":212,"to_index":600,"sum":147334,"residue":654},{"from_index":600,"to_index":988,"sum":147720,"residue":268},{"from_index":988,"to_index":212,"sum":141930,"residue":654}],"minimal_cycle":[654,268,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[212,600],"circle_positions":772,"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":[213,601,989],"clock_positions":[213,601,989],"native_values":[258,65,65],"rotation_degrees":65.87628865979381,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,65,65],"beta":{"interval_sums":[147580,147966,142562],"interval_residues":[128,514,514],"display_cycle":[128,514,514],"intervals":[{"from_index":213,"to_index":601,"sum":147580,"residue":128},{"from_index":601,"to_index":989,"sum":147966,"residue":514},{"from_index":989,"to_index":213,"sum":142562,"residue":514}],"minimal_cycle":[128,514,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[213,601],"circle_positions":772,"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":[214,602,990],"clock_positions":[214,602,990],"native_values":[183,569,376],"rotation_degrees":66.18556701030928,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,569,376],"beta":{"interval_sums":[147462,147462,142444],"interval_residues":[10,10,396],"display_cycle":[10,10,396],"intervals":[{"from_index":214,"to_index":602,"sum":147462,"residue":10},{"from_index":602,"to_index":990,"sum":147462,"residue":10},{"from_index":990,"to_index":214,"sum":142444,"residue":396}],"minimal_cycle":[10,10,396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[214,602],"circle_positions":772,"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":[215,603,991],"clock_positions":[215,603,991],"native_values":[441,634,441],"rotation_degrees":66.49484536082474,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,634,441],"beta":{"interval_sums":[147590,147204,142186],"interval_residues":[138,524,138],"display_cycle":[138,524,138],"intervals":[{"from_index":215,"to_index":603,"sum":147590,"residue":138},{"from_index":603,"to_index":991,"sum":147204,"residue":524},{"from_index":991,"to_index":215,"sum":142186,"residue":138}],"minimal_cycle":[138,524,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[215,603],"circle_positions":772,"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":[216,604,992],"clock_positions":[216,604,992],"native_values":[624,431,45],"rotation_degrees":66.80412371134021,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,431,45],"beta":{"interval_sums":[147600,147214,142582],"interval_residues":[148,534,534],"display_cycle":[148,534,534],"intervals":[{"from_index":216,"to_index":604,"sum":147600,"residue":148},{"from_index":604,"to_index":992,"sum":147214,"residue":534},{"from_index":992,"to_index":216,"sum":142582,"residue":534}],"minimal_cycle":[148,534,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[216,604],"circle_positions":772,"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":[217,605,993],"clock_positions":[217,605,993],"native_values":[293,293,486],"rotation_degrees":67.11340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,293,486],"beta":{"interval_sums":[147738,146966,142720],"interval_residues":[286,286,672],"display_cycle":[286,286,672],"intervals":[{"from_index":217,"to_index":605,"sum":147738,"residue":286},{"from_index":605,"to_index":993,"sum":146966,"residue":286},{"from_index":993,"to_index":217,"sum":142720,"residue":672}],"minimal_cycle":[286,286,672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[217,605],"circle_positions":772,"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":[218,606,994],"clock_positions":[218,606,994],"native_values":[145,724,531],"rotation_degrees":67.42268041237114,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,724,531],"beta":{"interval_sums":[147886,146728,142482],"interval_residues":[434,48,434],"display_cycle":[434,48,434],"intervals":[{"from_index":218,"to_index":606,"sum":147886,"residue":434},{"from_index":606,"to_index":994,"sum":146728,"residue":48},{"from_index":994,"to_index":218,"sum":142482,"residue":434}],"minimal_cycle":[434,48,434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[218,606],"circle_positions":772,"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":[219,607,995],"clock_positions":[219,607,995],"native_values":[438,245,245],"rotation_degrees":67.73195876288659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[438,245,245],"beta":{"interval_sums":[148172,147014,142382],"interval_residues":[720,334,334],"display_cycle":[720,334,334],"intervals":[{"from_index":219,"to_index":607,"sum":148172,"residue":720},{"from_index":607,"to_index":995,"sum":147014,"residue":334},{"from_index":995,"to_index":219,"sum":142382,"residue":334}],"minimal_cycle":[720,334,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[219,607],"circle_positions":772,"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":[220,608,996],"clock_positions":[220,608,996],"native_values":[583,197,4],"rotation_degrees":68.04123711340206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,197,4],"beta":{"interval_sums":[147834,147062,142816],"interval_residues":[382,382,768],"display_cycle":[382,382,768],"intervals":[{"from_index":220,"to_index":608,"sum":147834,"residue":382},{"from_index":608,"to_index":996,"sum":147062,"residue":382},{"from_index":996,"to_index":220,"sum":142816,"residue":768}],"minimal_cycle":[382,382,768],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[220,608],"circle_positions":772,"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":[221,609,997],"clock_positions":[221,609,997],"native_values":[249,442,249],"rotation_degrees":68.35051546391753,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,442,249],"beta":{"interval_sums":[147782,146624,143150],"interval_residues":[330,716,330],"display_cycle":[330,716,330],"intervals":[{"from_index":221,"to_index":609,"sum":147782,"residue":330},{"from_index":609,"to_index":997,"sum":146624,"residue":716},{"from_index":997,"to_index":221,"sum":143150,"residue":330}],"minimal_cycle":[330,716,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[221,609],"circle_positions":772,"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":[222,610,998],"clock_positions":[222,610,998],"native_values":[60,639,253],"rotation_degrees":68.65979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,639,253],"beta":{"interval_sums":[148164,146234,143146],"interval_residues":[712,326,326],"display_cycle":[712,326,326],"intervals":[{"from_index":222,"to_index":610,"sum":148164,"residue":712},{"from_index":610,"to_index":998,"sum":146234,"residue":326},{"from_index":998,"to_index":222,"sum":143146,"residue":326}],"minimal_cycle":[712,326,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[222,610],"circle_positions":772,"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":[223,611,999],"clock_positions":[223,611,999],"native_values":[309,309,502],"rotation_degrees":68.96907216494846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,309,502],"beta":{"interval_sums":[148494,146178,142704],"interval_residues":[270,270,656],"display_cycle":[270,270,656],"intervals":[{"from_index":223,"to_index":611,"sum":148494,"residue":270},{"from_index":611,"to_index":999,"sum":146178,"residue":270},{"from_index":999,"to_index":223,"sum":142704,"residue":656}],"minimal_cycle":[270,270,656],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[223,611],"circle_positions":772,"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":[224,612,1000],"clock_positions":[224,612,1000],"native_values":[369,176,755],"rotation_degrees":69.27835051546391,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,176,755],"beta":{"interval_sums":[148434,146504,142258],"interval_residues":[210,596,210],"display_cycle":[210,596,210],"intervals":[{"from_index":224,"to_index":612,"sum":148434,"residue":210},{"from_index":612,"to_index":1000,"sum":146504,"residue":596},{"from_index":1000,"to_index":224,"sum":142258,"residue":210}],"minimal_cycle":[210,596,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[224,612],"circle_positions":772,"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":[225,613,1001],"clock_positions":[225,613,1001],"native_values":[678,485,485],"rotation_degrees":69.58762886597938,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[678,485,485],"beta":{"interval_sums":[147932,146774,142142],"interval_residues":[480,94,94],"display_cycle":[480,94,94],"intervals":[{"from_index":225,"to_index":613,"sum":147932,"residue":480},{"from_index":613,"to_index":1001,"sum":146774,"residue":94},{"from_index":1001,"to_index":225,"sum":142142,"residue":94}],"minimal_cycle":[480,94,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[225,613],"circle_positions":772,"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":[226,614,1002],"clock_positions":[226,614,1002],"native_values":[275,661,468],"rotation_degrees":69.89690721649484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,661,468],"beta":{"interval_sums":[148142,146598,142352],"interval_residues":[690,690,304],"display_cycle":[690,690,304],"intervals":[{"from_index":226,"to_index":614,"sum":148142,"residue":690},{"from_index":614,"to_index":1002,"sum":146598,"residue":690},{"from_index":1002,"to_index":226,"sum":142352,"residue":304}],"minimal_cycle":[690,690,304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[226,614],"circle_positions":772,"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":[227,615,1003],"clock_positions":[227,615,1003],"native_values":[181,374,181],"rotation_degrees":70.20618556701031,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,374,181],"beta":{"interval_sums":[148622,146692,142446],"interval_residues":[398,12,398],"display_cycle":[398,12,398],"intervals":[{"from_index":227,"to_index":615,"sum":148622,"residue":398},{"from_index":615,"to_index":1003,"sum":146692,"residue":12},{"from_index":1003,"to_index":227,"sum":142446,"residue":398}],"minimal_cycle":[398,12,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[227,615],"circle_positions":772,"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":[228,616,1004],"clock_positions":[228,616,1004],"native_values":[456,263,649],"rotation_degrees":70.51546391752578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,263,649],"beta":{"interval_sums":[148540,146610,141978],"interval_residues":[316,702,702],"display_cycle":[316,702,702],"intervals":[{"from_index":228,"to_index":616,"sum":148540,"residue":316},{"from_index":616,"to_index":1004,"sum":146610,"residue":702},{"from_index":1004,"to_index":228,"sum":141978,"residue":702}],"minimal_cycle":[316,702,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[228,616],"circle_positions":772,"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":[229,617,1005],"clock_positions":[229,617,1005],"native_values":[637,637,58],"rotation_degrees":70.82474226804123,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,637,58],"beta":{"interval_sums":[148166,146622,142376],"interval_residues":[714,714,328],"display_cycle":[714,714,328],"intervals":[{"from_index":229,"to_index":617,"sum":148166,"residue":714},{"from_index":617,"to_index":1005,"sum":146622,"residue":714},{"from_index":1005,"to_index":229,"sum":142376,"residue":328}],"minimal_cycle":[714,714,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[229,617],"circle_positions":772,"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":[230,618,1006],"clock_positions":[230,618,1006],"native_values":[321,128,707],"rotation_degrees":71.1340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,128,707],"beta":{"interval_sums":[148482,146552,142306],"interval_residues":[258,644,258],"display_cycle":[258,644,258],"intervals":[{"from_index":230,"to_index":618,"sum":148482,"residue":258},{"from_index":618,"to_index":1006,"sum":146552,"residue":644},{"from_index":1006,"to_index":230,"sum":142306,"residue":258}],"minimal_cycle":[258,644,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[230,618],"circle_positions":772,"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":[231,619,1007],"clock_positions":[231,619,1007],"native_values":[186,765,765],"rotation_degrees":71.44329896907216,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[186,765,765],"beta":{"interval_sums":[148424,146494,141862],"interval_residues":[200,586,586],"display_cycle":[200,586,586],"intervals":[{"from_index":231,"to_index":619,"sum":148424,"residue":200},{"from_index":619,"to_index":1007,"sum":146494,"residue":586},{"from_index":1007,"to_index":231,"sum":141862,"residue":586}],"minimal_cycle":[200,586,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[231,619],"circle_positions":772,"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":[232,620,1008],"clock_positions":[232,620,1008],"native_values":[507,121,700],"rotation_degrees":71.75257731958763,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[507,121,700],"beta":{"interval_sums":[148682,147138,141348],"interval_residues":[458,458,72],"display_cycle":[458,458,72],"intervals":[{"from_index":232,"to_index":620,"sum":148682,"residue":458},{"from_index":620,"to_index":1008,"sum":147138,"residue":458},{"from_index":1008,"to_index":232,"sum":141348,"residue":72}],"minimal_cycle":[458,458,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[232,620],"circle_positions":772,"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":[233,621,1009],"clock_positions":[233,621,1009],"native_values":[693,114,693],"rotation_degrees":72.0618556701031,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[693,114,693],"beta":{"interval_sums":[148110,147724,141162],"interval_residues":[658,272,658],"display_cycle":[658,272,658],"intervals":[{"from_index":233,"to_index":621,"sum":148110,"residue":658},{"from_index":621,"to_index":1009,"sum":147724,"residue":272},{"from_index":1009,"to_index":233,"sum":141162,"residue":658}],"minimal_cycle":[658,272,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[233,621],"circle_positions":772,"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":[234,622,1010],"clock_positions":[234,622,1010],"native_values":[428,235,621],"rotation_degrees":72.37113402061856,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,235,621],"beta":{"interval_sums":[147796,148182,141234],"interval_residues":[344,730,730],"display_cycle":[344,730,730],"intervals":[{"from_index":234,"to_index":622,"sum":147796,"residue":344},{"from_index":622,"to_index":1010,"sum":148182,"residue":730},{"from_index":1010,"to_index":234,"sum":141234,"residue":730}],"minimal_cycle":[344,730,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[234,622],"circle_positions":772,"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":[235,623,1011],"clock_positions":[235,623,1011],"native_values":[349,349,542],"rotation_degrees":72.68041237113403,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[349,349,542],"beta":{"interval_sums":[147682,148454,141120],"interval_residues":[230,230,616],"display_cycle":[230,230,616],"intervals":[{"from_index":235,"to_index":623,"sum":147682,"residue":230},{"from_index":623,"to_index":1011,"sum":148454,"residue":230},{"from_index":1011,"to_index":235,"sum":141120,"residue":616}],"minimal_cycle":[230,230,616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":230,"start_interval_clock_positions":[235,623],"circle_positions":772,"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":[236,624,1012],"clock_positions":[236,624,1012],"native_values":[5,584,391],"rotation_degrees":72.98969072164948,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,584,391],"beta":{"interval_sums":[148026,148412,141078],"interval_residues":[574,188,574],"display_cycle":[574,188,574],"intervals":[{"from_index":236,"to_index":624,"sum":148026,"residue":574},{"from_index":624,"to_index":1012,"sum":148412,"residue":188},{"from_index":1012,"to_index":236,"sum":141078,"residue":574}],"minimal_cycle":[574,188,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[236,624],"circle_positions":772,"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":[237,625,1013],"clock_positions":[237,625,1013],"native_values":[354,161,161],"rotation_degrees":73.29896907216495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,161,161],"beta":{"interval_sums":[148256,148642,140922],"interval_residues":[32,418,418],"display_cycle":[32,418,418],"intervals":[{"from_index":237,"to_index":625,"sum":148256,"residue":32},{"from_index":625,"to_index":1013,"sum":148642,"residue":418},{"from_index":1013,"to_index":237,"sum":140922,"residue":418}],"minimal_cycle":[32,418,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[237,625],"circle_positions":772,"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":[238,626,1014],"clock_positions":[238,626,1014],"native_values":[359,745,552],"rotation_degrees":73.6082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[359,745,552],"beta":{"interval_sums":[148058,148058,140724],"interval_residues":[606,606,220],"display_cycle":[606,606,220],"intervals":[{"from_index":238,"to_index":626,"sum":148058,"residue":606},{"from_index":626,"to_index":1014,"sum":148058,"residue":606},{"from_index":1014,"to_index":238,"sum":140724,"residue":220}],"minimal_cycle":[606,606,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[238,626],"circle_positions":772,"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":[239,627,1015],"clock_positions":[239,627,1015],"native_values":[713,134,713],"rotation_degrees":73.91752577319588,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,134,713],"beta":{"interval_sums":[148090,148476,140370],"interval_residues":[638,252,638],"display_cycle":[638,252,638],"intervals":[{"from_index":239,"to_index":627,"sum":148090,"residue":638},{"from_index":627,"to_index":1015,"sum":148476,"residue":252},{"from_index":1015,"to_index":239,"sum":140370,"residue":638}],"minimal_cycle":[638,252,638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[239,627],"circle_positions":772,"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":[240,628,1016],"clock_positions":[240,628,1016],"native_values":[300,107,493],"rotation_degrees":74.22680412371135,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,107,493],"beta":{"interval_sums":[147924,149082,140590],"interval_residues":[472,86,86],"display_cycle":[472,86,86],"intervals":[{"from_index":240,"to_index":628,"sum":147924,"residue":472},{"from_index":628,"to_index":1016,"sum":149082,"residue":86},{"from_index":1016,"to_index":240,"sum":140590,"residue":86}],"minimal_cycle":[472,86,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[240,628],"circle_positions":772,"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":[241,629,1017],"clock_positions":[241,629,1017],"native_values":[241,241,434],"rotation_degrees":74.5360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,241,434],"beta":{"interval_sums":[147790,149334,140456],"interval_residues":[338,338,724],"display_cycle":[338,338,724],"intervals":[{"from_index":241,"to_index":629,"sum":147790,"residue":338},{"from_index":629,"to_index":1017,"sum":149334,"residue":338},{"from_index":1017,"to_index":241,"sum":140456,"residue":724}],"minimal_cycle":[338,338,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[241,629],"circle_positions":772,"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":[242,630,1018],"clock_positions":[242,630,1018],"native_values":[541,348,155],"rotation_degrees":74.84536082474227,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[541,348,155],"beta":{"interval_sums":[147490,149420,140542],"interval_residues":[38,424,38],"display_cycle":[38,424,38],"intervals":[{"from_index":242,"to_index":630,"sum":147490,"residue":38},{"from_index":630,"to_index":1018,"sum":149420,"residue":424},{"from_index":1018,"to_index":242,"sum":140542,"residue":38}],"minimal_cycle":[38,424,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[242,630],"circle_positions":772,"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":[243,631,1019],"clock_positions":[243,631,1019],"native_values":[10,589,589],"rotation_degrees":75.15463917525773,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[10,589,589],"beta":{"interval_sums":[147828,148986,140494],"interval_residues":[376,762,762],"display_cycle":[376,762,762],"intervals":[{"from_index":243,"to_index":631,"sum":147828,"residue":376},{"from_index":631,"to_index":1019,"sum":148986,"residue":762},{"from_index":1019,"to_index":243,"sum":140494,"residue":762}],"minimal_cycle":[376,762,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[243,631],"circle_positions":772,"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":[244,632,1020],"clock_positions":[244,632,1020],"native_values":[551,165,744],"rotation_degrees":75.4639175257732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[551,165,744],"beta":{"interval_sums":[147866,149410,139760],"interval_residues":[414,414,28],"display_cycle":[414,414,28],"intervals":[{"from_index":244,"to_index":632,"sum":147866,"residue":414},{"from_index":632,"to_index":1020,"sum":149410,"residue":414},{"from_index":1020,"to_index":244,"sum":139760,"residue":28}],"minimal_cycle":[414,414,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[244,632],"circle_positions":772,"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":[245,633,1021],"clock_positions":[245,633,1021],"native_values":[561,754,561],"rotation_degrees":75.77319587628865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,754,561],"beta":{"interval_sums":[147470,149400,139750],"interval_residues":[18,404,18],"display_cycle":[18,404,18],"intervals":[{"from_index":245,"to_index":633,"sum":147470,"residue":18},{"from_index":633,"to_index":1021,"sum":149400,"residue":404},{"from_index":1021,"to_index":245,"sum":139750,"residue":18}],"minimal_cycle":[18,404,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[245,633],"circle_positions":772,"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":[246,634,1022],"clock_positions":[246,634,1022],"native_values":[340,147,533],"rotation_degrees":76.08247422680412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,147,533],"beta":{"interval_sums":[147884,149814,139778],"interval_residues":[432,46,46],"display_cycle":[432,46,46],"intervals":[{"from_index":246,"to_index":634,"sum":147884,"residue":432},{"from_index":634,"to_index":1022,"sum":149814,"residue":46},{"from_index":1022,"to_index":246,"sum":139778,"residue":46}],"minimal_cycle":[432,46,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[246,634],"circle_positions":772,"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":[247,635,1023],"clock_positions":[247,635,1023],"native_values":[129,129,322],"rotation_degrees":76.3917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[129,129,322],"beta":{"interval_sums":[147902,150218,139796],"interval_residues":[450,450,64],"display_cycle":[450,450,64],"intervals":[{"from_index":247,"to_index":635,"sum":147902,"residue":450},{"from_index":635,"to_index":1023,"sum":150218,"residue":450},{"from_index":1023,"to_index":247,"sum":139796,"residue":64}],"minimal_cycle":[450,450,64],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[247,635],"circle_positions":772,"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":[248,636,1024],"clock_positions":[248,636,1024],"native_values":[469,276,83],"rotation_degrees":76.70103092783505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,276,83],"beta":{"interval_sums":[147562,150264,139842],"interval_residues":[110,496,110],"display_cycle":[110,496,110],"intervals":[{"from_index":248,"to_index":636,"sum":147562,"residue":110},{"from_index":636,"to_index":1024,"sum":150264,"residue":496},{"from_index":1024,"to_index":248,"sum":139842,"residue":110}],"minimal_cycle":[110,496,110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[248,636],"circle_positions":772,"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":[249,637,1025],"clock_positions":[249,637,1025],"native_values":[598,405,405],"rotation_degrees":77.01030927835052,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,405,405],"beta":{"interval_sums":[147240,149942,139906],"interval_residues":[560,174,174],"display_cycle":[560,174,174],"intervals":[{"from_index":249,"to_index":637,"sum":147240,"residue":560},{"from_index":637,"to_index":1025,"sum":149942,"residue":174},{"from_index":1025,"to_index":249,"sum":139906,"residue":174}],"minimal_cycle":[560,174,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[249,637],"circle_positions":772,"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":[250,638,1026],"clock_positions":[250,638,1026],"native_values":[295,681,488],"rotation_degrees":77.31958762886597,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[295,681,488],"beta":{"interval_sums":[147350,149666,140016],"interval_residues":[670,670,284],"display_cycle":[670,670,284],"intervals":[{"from_index":250,"to_index":638,"sum":147350,"residue":670},{"from_index":638,"to_index":1026,"sum":149666,"residue":670},{"from_index":1026,"to_index":250,"sum":140016,"residue":284}],"minimal_cycle":[670,670,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[250,638],"circle_positions":772,"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":[251,639,1027],"clock_positions":[251,639,1027],"native_values":[121,314,121],"rotation_degrees":77.62886597938144,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,314,121],"beta":{"interval_sums":[147910,149840,140190],"interval_residues":[458,72,458],"display_cycle":[458,72,458],"intervals":[{"from_index":251,"to_index":639,"sum":147910,"residue":458},{"from_index":639,"to_index":1027,"sum":149840,"residue":72},{"from_index":1027,"to_index":251,"sum":140190,"residue":458}],"minimal_cycle":[458,72,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[251,639],"circle_positions":772,"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":[252,640,1028],"clock_positions":[252,640,1028],"native_values":[416,223,609],"rotation_degrees":77.9381443298969,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,223,609],"beta":{"interval_sums":[147808,149738,139702],"interval_residues":[356,742,742],"display_cycle":[356,742,742],"intervals":[{"from_index":252,"to_index":640,"sum":147808,"residue":356},{"from_index":640,"to_index":1028,"sum":149738,"residue":742},{"from_index":1028,"to_index":252,"sum":139702,"residue":742}],"minimal_cycle":[356,742,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[252,640],"circle_positions":772,"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":[253,641,1029],"clock_positions":[253,641,1029],"native_values":[537,537,730],"rotation_degrees":78.24742268041237,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[537,537,730],"beta":{"interval_sums":[147494,149810,139388],"interval_residues":[42,42,428],"display_cycle":[42,42,428],"intervals":[{"from_index":253,"to_index":641,"sum":147494,"residue":42},{"from_index":641,"to_index":1029,"sum":149810,"residue":42},{"from_index":1029,"to_index":253,"sum":139388,"residue":428}],"minimal_cycle":[42,42,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[253,641],"circle_positions":772,"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":[254,642,1030],"clock_positions":[254,642,1030],"native_values":[181,760,567],"rotation_degrees":78.55670103092784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,760,567],"beta":{"interval_sums":[147850,149780,139358],"interval_residues":[398,12,398],"display_cycle":[398,12,398],"intervals":[{"from_index":254,"to_index":642,"sum":147850,"residue":398},{"from_index":642,"to_index":1030,"sum":149780,"residue":12},{"from_index":1030,"to_index":254,"sum":139358,"residue":398}],"minimal_cycle":[398,12,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[254,642],"circle_positions":772,"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":[255,643,1031],"clock_positions":[255,643,1031],"native_values":[718,525,525],"rotation_degrees":78.8659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,525,525],"beta":{"interval_sums":[147892,149822,139014],"interval_residues":[440,54,54],"display_cycle":[440,54,54],"intervals":[{"from_index":255,"to_index":643,"sum":147892,"residue":440},{"from_index":643,"to_index":1031,"sum":149822,"residue":54},{"from_index":1031,"to_index":255,"sum":139014,"residue":54}],"minimal_cycle":[440,54,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[255,643],"circle_positions":772,"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":[256,644,1032],"clock_positions":[256,644,1032],"native_values":[127,513,320],"rotation_degrees":79.17525773195877,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,513,320],"beta":{"interval_sums":[148290,149834,139412],"interval_residues":[66,66,452],"display_cycle":[66,66,452],"intervals":[{"from_index":256,"to_index":644,"sum":148290,"residue":66},{"from_index":644,"to_index":1032,"sum":149834,"residue":66},{"from_index":1032,"to_index":256,"sum":139412,"residue":452}],"minimal_cycle":[66,66,452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[256,644],"circle_positions":772,"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":[257,645,1033],"clock_positions":[257,645,1033],"native_values":[73,266,73],"rotation_degrees":79.48453608247422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,266,73],"beta":{"interval_sums":[148730,149888,139466],"interval_residues":[506,120,506],"display_cycle":[506,120,506],"intervals":[{"from_index":257,"to_index":645,"sum":148730,"residue":506},{"from_index":645,"to_index":1033,"sum":149888,"residue":120},{"from_index":1033,"to_index":257,"sum":139466,"residue":506}],"minimal_cycle":[506,120,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[257,645],"circle_positions":772,"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":[258,646,1034],"clock_positions":[258,646,1034],"native_values":[200,7,393],"rotation_degrees":79.79381443298969,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,7,393],"beta":{"interval_sums":[148796,149954,139146],"interval_residues":[572,186,186],"display_cycle":[572,186,186],"intervals":[{"from_index":258,"to_index":646,"sum":148796,"residue":572},{"from_index":646,"to_index":1034,"sum":149954,"residue":186},{"from_index":1034,"to_index":258,"sum":139146,"residue":186}],"minimal_cycle":[572,186,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[258,646],"circle_positions":772,"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":[259,647,1035],"clock_positions":[259,647,1035],"native_values":[273,273,466],"rotation_degrees":80.10309278350516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[273,273,466],"beta":{"interval_sums":[148530,150074,138880],"interval_residues":[306,306,692],"display_cycle":[306,306,692],"intervals":[{"from_index":259,"to_index":647,"sum":148530,"residue":306},{"from_index":647,"to_index":1035,"sum":150074,"residue":306},{"from_index":1035,"to_index":259,"sum":138880,"residue":692}],"minimal_cycle":[306,306,692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[259,647],"circle_positions":772,"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":[260,648,1036],"clock_positions":[260,648,1036],"native_values":[473,280,87],"rotation_degrees":80.41237113402062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,280,87],"beta":{"interval_sums":[148330,150260,139066],"interval_residues":[106,492,106],"display_cycle":[106,492,106],"intervals":[{"from_index":260,"to_index":648,"sum":148330,"residue":106},{"from_index":648,"to_index":1036,"sum":150260,"residue":492},{"from_index":1036,"to_index":260,"sum":139066,"residue":106}],"minimal_cycle":[106,492,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[260,648],"circle_positions":772,"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":[261,649,1037],"clock_positions":[261,649,1037],"native_values":[746,553,553],"rotation_degrees":80.72164948453609,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[746,553,553],"beta":{"interval_sums":[147864,149794,138986],"interval_residues":[412,26,26],"display_cycle":[412,26,26],"intervals":[{"from_index":261,"to_index":649,"sum":147864,"residue":412},{"from_index":649,"to_index":1037,"sum":149794,"residue":26},{"from_index":1037,"to_index":261,"sum":138986,"residue":26}],"minimal_cycle":[412,26,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[261,649],"circle_positions":772,"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":[262,650,1038],"clock_positions":[262,650,1038],"native_values":[447,61,640],"rotation_degrees":81.03092783505154,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,61,640],"beta":{"interval_sums":[147970,150286,139092],"interval_residues":[518,518,132],"display_cycle":[518,518,132],"intervals":[{"from_index":262,"to_index":650,"sum":147970,"residue":518},{"from_index":650,"to_index":1038,"sum":150286,"residue":518},{"from_index":1038,"to_index":262,"sum":139092,"residue":132}],"minimal_cycle":[518,518,132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[262,650],"circle_positions":772,"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":[263,651,1039],"clock_positions":[263,651,1039],"native_values":[421,614,421],"rotation_degrees":81.34020618556701,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,614,421],"beta":{"interval_sums":[147610,150312,139118],"interval_residues":[158,544,158],"display_cycle":[158,544,158],"intervals":[{"from_index":263,"to_index":651,"sum":147610,"residue":158},{"from_index":651,"to_index":1039,"sum":150312,"residue":544},{"from_index":1039,"to_index":263,"sum":139118,"residue":158}],"minimal_cycle":[158,544,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[263,651],"circle_positions":772,"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":[264,652,1040],"clock_positions":[264,652,1040],"native_values":[96,675,289],"rotation_degrees":81.64948453608247,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,675,289],"beta":{"interval_sums":[148128,150058,139250],"interval_residues":[676,290,290],"display_cycle":[676,290,290],"intervals":[{"from_index":264,"to_index":652,"sum":148128,"residue":676},{"from_index":652,"to_index":1040,"sum":150058,"residue":290},{"from_index":1040,"to_index":264,"sum":139250,"residue":290}],"minimal_cycle":[676,290,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[264,652],"circle_positions":772,"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":[265,653,1041],"clock_positions":[265,653,1041],"native_values":[517,517,710],"rotation_degrees":81.95876288659794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[517,517,710],"beta":{"interval_sums":[148286,149830,138636],"interval_residues":[62,62,448],"display_cycle":[62,62,448],"intervals":[{"from_index":265,"to_index":653,"sum":148286,"residue":62},{"from_index":653,"to_index":1041,"sum":149830,"residue":62},{"from_index":1041,"to_index":265,"sum":138636,"residue":448}],"minimal_cycle":[62,62,448],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[265,653],"circle_positions":772,"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":[266,654,1042],"clock_positions":[266,654,1042],"native_values":[613,420,227],"rotation_degrees":82.26804123711341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,420,227],"beta":{"interval_sums":[148190,150120,138926],"interval_residues":[738,352,738],"display_cycle":[738,352,738],"intervals":[{"from_index":266,"to_index":654,"sum":148190,"residue":738},{"from_index":654,"to_index":1042,"sum":150120,"residue":352},{"from_index":1042,"to_index":266,"sum":138926,"residue":738}],"minimal_cycle":[738,352,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[266,654],"circle_positions":772,"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":[267,655,1043],"clock_positions":[267,655,1043],"native_values":[358,165,165],"rotation_degrees":82.57731958762886,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[358,165,165],"beta":{"interval_sums":[148252,150182,139374],"interval_residues":[28,414,414],"display_cycle":[28,414,414],"intervals":[{"from_index":267,"to_index":655,"sum":148252,"residue":28},{"from_index":655,"to_index":1043,"sum":150182,"residue":414},{"from_index":1043,"to_index":267,"sum":139374,"residue":414}],"minimal_cycle":[28,414,414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[267,655],"circle_positions":772,"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":[268,656,1044],"clock_positions":[268,656,1044],"native_values":[199,585,392],"rotation_degrees":82.88659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,585,392],"beta":{"interval_sums":[148218,149762,139340],"interval_residues":[766,766,380],"display_cycle":[766,766,380],"intervals":[{"from_index":268,"to_index":656,"sum":148218,"residue":766},{"from_index":656,"to_index":1044,"sum":149762,"residue":766},{"from_index":1044,"to_index":268,"sum":139340,"residue":380}],"minimal_cycle":[766,766,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":766,"start_interval_clock_positions":[268,656],"circle_positions":772,"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":[269,657,1045],"clock_positions":[269,657,1045],"native_values":[557,750,557],"rotation_degrees":83.19587628865979,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,750,557],"beta":{"interval_sums":[148246,149404,138982],"interval_residues":[22,408,22],"display_cycle":[22,408,22],"intervals":[{"from_index":269,"to_index":657,"sum":148246,"residue":22},{"from_index":657,"to_index":1045,"sum":149404,"residue":408},{"from_index":1045,"to_index":269,"sum":138982,"residue":22}],"minimal_cycle":[22,408,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[269,657],"circle_positions":772,"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":[270,658,1046],"clock_positions":[270,658,1046],"native_values":[756,563,177],"rotation_degrees":83.50515463917526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[756,563,177],"beta":{"interval_sums":[148240,149398,139362],"interval_residues":[16,402,402],"display_cycle":[16,402,402],"intervals":[{"from_index":270,"to_index":658,"sum":148240,"residue":16},{"from_index":658,"to_index":1046,"sum":149398,"residue":402},{"from_index":1046,"to_index":270,"sum":139362,"residue":402}],"minimal_cycle":[16,402,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[270,658],"circle_positions":772,"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":[271,659,1047],"clock_positions":[271,659,1047],"native_values":[541,541,734],"rotation_degrees":83.81443298969072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[541,541,734],"beta":{"interval_sums":[148262,149034,139384],"interval_residues":[38,38,424],"display_cycle":[38,38,424],"intervals":[{"from_index":271,"to_index":659,"sum":148262,"residue":38},{"from_index":659,"to_index":1047,"sum":149034,"residue":38},{"from_index":1047,"to_index":271,"sum":139384,"residue":424}],"minimal_cycle":[38,38,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[271,659],"circle_positions":772,"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":[272,660,1048],"clock_positions":[272,660,1048],"native_values":[525,332,139],"rotation_degrees":84.12371134020619,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,332,139],"beta":{"interval_sums":[148278,149436,139786],"interval_residues":[54,440,54],"display_cycle":[54,440,54],"intervals":[{"from_index":272,"to_index":660,"sum":148278,"residue":54},{"from_index":660,"to_index":1048,"sum":149436,"residue":440},{"from_index":1048,"to_index":272,"sum":139786,"residue":54}],"minimal_cycle":[54,440,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[272,660],"circle_positions":772,"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":[273,661,1049],"clock_positions":[273,661,1049],"native_values":[294,101,101],"rotation_degrees":84.43298969072166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[294,101,101],"beta":{"interval_sums":[148316,149474,140210],"interval_residues":[92,478,478],"display_cycle":[92,478,478],"intervals":[{"from_index":273,"to_index":661,"sum":148316,"residue":92},{"from_index":661,"to_index":1049,"sum":149474,"residue":478},{"from_index":1049,"to_index":273,"sum":140210,"residue":478}],"minimal_cycle":[92,478,478],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[273,661],"circle_positions":772,"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":[274,662,1050],"clock_positions":[274,662,1050],"native_values":[47,433,240],"rotation_degrees":84.74226804123711,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[47,433,240],"beta":{"interval_sums":[148370,149142,140264],"interval_residues":[146,146,532],"display_cycle":[146,146,532],"intervals":[{"from_index":274,"to_index":662,"sum":148370,"residue":146},{"from_index":662,"to_index":1050,"sum":149142,"residue":146},{"from_index":1050,"to_index":274,"sum":140264,"residue":532}],"minimal_cycle":[146,146,532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[274,662],"circle_positions":772,"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":[275,663,1051],"clock_positions":[275,663,1051],"native_values":[341,534,341],"rotation_degrees":85.05154639175258,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,534,341],"beta":{"interval_sums":[148462,148848,139970],"interval_residues":[238,624,238],"display_cycle":[238,624,238],"intervals":[{"from_index":275,"to_index":663,"sum":148462,"residue":238},{"from_index":663,"to_index":1051,"sum":148848,"residue":624},{"from_index":1051,"to_index":275,"sum":139970,"residue":238}],"minimal_cycle":[238,624,238],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[275,663],"circle_positions":772,"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":[276,664,1052],"clock_positions":[276,664,1052],"native_values":[388,195,581],"rotation_degrees":85.36082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,195,581],"beta":{"interval_sums":[148608,148994,139730],"interval_residues":[384,770,770],"display_cycle":[384,770,770],"intervals":[{"from_index":276,"to_index":664,"sum":148608,"residue":384},{"from_index":664,"to_index":1052,"sum":148994,"residue":770},{"from_index":1052,"to_index":276,"sum":139730,"residue":770}],"minimal_cycle":[384,770,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[276,664],"circle_positions":772,"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":[277,665,1053],"clock_positions":[277,665,1053],"native_values":[729,729,150],"rotation_degrees":85.6701030927835,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[729,729,150],"beta":{"interval_sums":[148074,148846,139968],"interval_residues":[622,622,236],"display_cycle":[622,622,236],"intervals":[{"from_index":277,"to_index":665,"sum":148074,"residue":622},{"from_index":665,"to_index":1053,"sum":148846,"residue":622},{"from_index":1053,"to_index":277,"sum":139968,"residue":236}],"minimal_cycle":[622,622,236],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[277,665],"circle_positions":772,"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":[278,666,1054],"clock_positions":[278,666,1054],"native_values":[345,152,731],"rotation_degrees":85.97938144329896,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,152,731],"beta":{"interval_sums":[148458,148844,139966],"interval_residues":[234,620,234],"display_cycle":[234,620,234],"intervals":[{"from_index":278,"to_index":666,"sum":148458,"residue":234},{"from_index":666,"to_index":1054,"sum":148844,"residue":620},{"from_index":1054,"to_index":278,"sum":139966,"residue":234}],"minimal_cycle":[234,620,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[278,666],"circle_positions":772,"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":[279,667,1055],"clock_positions":[279,667,1055],"native_values":[302,109,109],"rotation_degrees":86.28865979381443,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[302,109,109],"beta":{"interval_sums":[148308,149466,140202],"interval_residues":[84,470,470],"display_cycle":[84,470,470],"intervals":[{"from_index":279,"to_index":667,"sum":148308,"residue":84},{"from_index":667,"to_index":1055,"sum":149466,"residue":470},{"from_index":1055,"to_index":279,"sum":140202,"residue":470}],"minimal_cycle":[84,470,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[279,667],"circle_positions":772,"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":[280,668,1056],"clock_positions":[280,668,1056],"native_values":[647,261,68],"rotation_degrees":86.5979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[647,261,68],"beta":{"interval_sums":[147770,149314,140436],"interval_residues":[318,318,704],"display_cycle":[318,318,704],"intervals":[{"from_index":280,"to_index":668,"sum":147770,"residue":318},{"from_index":668,"to_index":1056,"sum":149314,"residue":318},{"from_index":1056,"to_index":280,"sum":140436,"residue":704}],"minimal_cycle":[318,318,704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[280,668],"circle_positions":772,"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":[281,669,1057],"clock_positions":[281,669,1057],"native_values":[177,370,177],"rotation_degrees":86.90721649484536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,370,177],"beta":{"interval_sums":[147854,149012,140906],"interval_residues":[402,16,402],"display_cycle":[402,16,402],"intervals":[{"from_index":281,"to_index":669,"sum":147854,"residue":402},{"from_index":669,"to_index":1057,"sum":149012,"residue":16},{"from_index":1057,"to_index":281,"sum":140906,"residue":402}],"minimal_cycle":[402,16,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[281,669],"circle_positions":772,"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":[282,670,1058],"clock_positions":[282,670,1058],"native_values":[52,631,245],"rotation_degrees":87.21649484536083,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,631,245],"beta":{"interval_sums":[148172,148558,140838],"interval_residues":[720,334,334],"display_cycle":[720,334,334],"intervals":[{"from_index":282,"to_index":670,"sum":148172,"residue":720},{"from_index":670,"to_index":1058,"sum":148558,"residue":334},{"from_index":1058,"to_index":282,"sum":140838,"residue":334}],"minimal_cycle":[720,334,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[282,670],"circle_positions":772,"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":[283,671,1059],"clock_positions":[283,671,1059],"native_values":[229,229,422],"rotation_degrees":87.52577319587628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,229,422],"beta":{"interval_sums":[148574,148574,140468],"interval_residues":[350,350,736],"display_cycle":[350,350,736],"intervals":[{"from_index":283,"to_index":671,"sum":148574,"residue":350},{"from_index":671,"to_index":1059,"sum":148574,"residue":350},{"from_index":1059,"to_index":283,"sum":140468,"residue":736}],"minimal_cycle":[350,350,736],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[283,671],"circle_positions":772,"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":[284,672,1060],"clock_positions":[284,672,1060],"native_values":[281,88,667],"rotation_degrees":87.83505154639175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,88,667],"beta":{"interval_sums":[148522,148908,140030],"interval_residues":[298,684,298],"display_cycle":[298,684,298],"intervals":[{"from_index":284,"to_index":672,"sum":148522,"residue":298},{"from_index":672,"to_index":1060,"sum":148908,"residue":684},{"from_index":1060,"to_index":284,"sum":140030,"residue":298}],"minimal_cycle":[298,684,298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[284,672],"circle_positions":772,"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":[285,673,1061],"clock_positions":[285,673,1061],"native_values":[510,317,317],"rotation_degrees":88.14432989690722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,317,317],"beta":{"interval_sums":[148100,149258,139994],"interval_residues":[648,262,262],"display_cycle":[648,262,262],"intervals":[{"from_index":285,"to_index":673,"sum":148100,"residue":648},{"from_index":673,"to_index":1061,"sum":149258,"residue":262},{"from_index":1061,"to_index":285,"sum":139994,"residue":262}],"minimal_cycle":[648,262,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[285,673],"circle_positions":772,"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":[286,674,1062],"clock_positions":[286,674,1062],"native_values":[19,405,212],"rotation_degrees":88.45360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,405,212],"beta":{"interval_sums":[148398,149170,140292],"interval_residues":[174,174,560],"display_cycle":[174,174,560],"intervals":[{"from_index":286,"to_index":674,"sum":148398,"residue":174},{"from_index":674,"to_index":1062,"sum":149170,"residue":174},{"from_index":1062,"to_index":286,"sum":140292,"residue":560}],"minimal_cycle":[174,174,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[286,674],"circle_positions":772,"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":[287,675,1063],"clock_positions":[287,675,1063],"native_values":[529,722,529],"rotation_degrees":88.76288659793815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,722,529],"beta":{"interval_sums":[148274,148660,139782],"interval_residues":[50,436,50],"display_cycle":[50,436,50],"intervals":[{"from_index":287,"to_index":675,"sum":148274,"residue":50},{"from_index":675,"to_index":1063,"sum":148660,"residue":436},{"from_index":1063,"to_index":287,"sum":139782,"residue":50}],"minimal_cycle":[50,436,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[287,675],"circle_positions":772,"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":[288,676,1064],"clock_positions":[288,676,1064],"native_values":[548,355,741],"rotation_degrees":89.0721649484536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,355,741],"beta":{"interval_sums":[148448,148834,139570],"interval_residues":[224,610,610],"display_cycle":[224,610,610],"intervals":[{"from_index":288,"to_index":676,"sum":148448,"residue":224},{"from_index":676,"to_index":1064,"sum":148834,"residue":610},{"from_index":1064,"to_index":288,"sum":139570,"residue":610}],"minimal_cycle":[224,610,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[288,676],"circle_positions":772,"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":[289,677,1065],"clock_positions":[289,677,1065],"native_values":[305,305,498],"rotation_degrees":89.38144329896907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,305,498],"beta":{"interval_sums":[148498,149270,139620],"interval_residues":[274,274,660],"display_cycle":[274,274,660],"intervals":[{"from_index":289,"to_index":677,"sum":148498,"residue":274},{"from_index":677,"to_index":1065,"sum":149270,"residue":274},{"from_index":1065,"to_index":289,"sum":139620,"residue":660}],"minimal_cycle":[274,274,660],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[289,677],"circle_positions":772,"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":[290,678,1066],"clock_positions":[290,678,1066],"native_values":[81,660,467],"rotation_degrees":89.69072164948453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,660,467],"beta":{"interval_sums":[148722,149108,139458],"interval_residues":[498,112,498],"display_cycle":[498,112,498],"intervals":[{"from_index":290,"to_index":678,"sum":148722,"residue":498},{"from_index":678,"to_index":1066,"sum":149108,"residue":112},{"from_index":1066,"to_index":290,"sum":139458,"residue":498}],"minimal_cycle":[498,112,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[290,678],"circle_positions":772,"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":[291,679,1067],"clock_positions":[291,679,1067],"native_values":[386,193,193],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,193,193],"beta":{"interval_sums":[148996,149382,139346],"interval_residues":[0,386,386],"display_cycle":[772,386,386],"intervals":[{"from_index":291,"to_index":679,"sum":148996,"residue":0},{"from_index":679,"to_index":1067,"sum":149382,"residue":386},{"from_index":1067,"to_index":291,"sum":139346,"residue":386}],"minimal_cycle":[0,386,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":772,"start_interval_clock_positions":[291,679],"circle_positions":772,"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":[292,680,1068],"clock_positions":[292,680,1068],"native_values":[467,81,660],"rotation_degrees":90.30927835051547,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[467,81,660],"beta":{"interval_sums":[148722,149494,139072],"interval_residues":[498,498,112],"display_cycle":[498,498,112],"intervals":[{"from_index":292,"to_index":680,"sum":148722,"residue":498},{"from_index":680,"to_index":1068,"sum":149494,"residue":498},{"from_index":1068,"to_index":292,"sum":139072,"residue":112}],"minimal_cycle":[498,498,112],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[292,680],"circle_positions":772,"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":[293,681,1069],"clock_positions":[293,681,1069],"native_values":[81,274,81],"rotation_degrees":90.61855670103093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,274,81],"beta":{"interval_sums":[148722,149880,139458],"interval_residues":[498,112,498],"display_cycle":[498,112,498],"intervals":[{"from_index":293,"to_index":681,"sum":148722,"residue":498},{"from_index":681,"to_index":1069,"sum":149880,"residue":112},{"from_index":1069,"to_index":293,"sum":139458,"residue":498}],"minimal_cycle":[498,112,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[293,681],"circle_positions":772,"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":[294,682,1070],"clock_positions":[294,682,1070],"native_values":[548,355,741],"rotation_degrees":90.9278350515464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[548,355,741],"beta":{"interval_sums":[148448,149606,138798],"interval_residues":[224,610,610],"display_cycle":[224,610,610],"intervals":[{"from_index":294,"to_index":682,"sum":148448,"residue":224},{"from_index":682,"to_index":1070,"sum":149606,"residue":610},{"from_index":1070,"to_index":294,"sum":138798,"residue":610}],"minimal_cycle":[224,610,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[294,682],"circle_positions":772,"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":[295,683,1071],"clock_positions":[295,683,1071],"native_values":[629,629,50],"rotation_degrees":91.23711340206185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,629,50],"beta":{"interval_sums":[148174,149718,139296],"interval_residues":[722,722,336],"display_cycle":[722,722,336],"intervals":[{"from_index":295,"to_index":683,"sum":148174,"residue":722},{"from_index":683,"to_index":1071,"sum":149718,"residue":722},{"from_index":1071,"to_index":295,"sum":139296,"residue":336}],"minimal_cycle":[722,722,336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[295,683],"circle_positions":772,"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":[296,684,1072],"clock_positions":[296,684,1072],"native_values":[405,212,19],"rotation_degrees":91.54639175257732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,212,19],"beta":{"interval_sums":[148398,149556,139906],"interval_residues":[174,560,174],"display_cycle":[174,560,174],"intervals":[{"from_index":296,"to_index":684,"sum":148398,"residue":174},{"from_index":684,"to_index":1072,"sum":149556,"residue":560},{"from_index":1072,"to_index":296,"sum":139906,"residue":174}],"minimal_cycle":[174,560,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[296,684],"circle_positions":772,"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":[297,685,1073],"clock_positions":[297,685,1073],"native_values":[262,69,69],"rotation_degrees":91.85567010309278,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,69,69],"beta":{"interval_sums":[148348,149506,140242],"interval_residues":[124,510,510],"display_cycle":[124,510,510],"intervals":[{"from_index":297,"to_index":685,"sum":148348,"residue":124},{"from_index":685,"to_index":1073,"sum":149506,"residue":510},{"from_index":1073,"to_index":297,"sum":140242,"residue":510}],"minimal_cycle":[124,510,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[297,685],"circle_positions":772,"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":[298,686,1074],"clock_positions":[298,686,1074],"native_values":[667,281,88],"rotation_degrees":92.16494845360825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,281,88],"beta":{"interval_sums":[147750,149294,140416],"interval_residues":[298,298,684],"display_cycle":[298,298,684],"intervals":[{"from_index":298,"to_index":686,"sum":147750,"residue":298},{"from_index":686,"to_index":1074,"sum":149294,"residue":298},{"from_index":1074,"to_index":298,"sum":140416,"residue":684}],"minimal_cycle":[298,298,684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[298,686],"circle_positions":772,"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":[299,687,1075],"clock_positions":[299,687,1075],"native_values":[157,350,157],"rotation_degrees":92.47422680412372,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,350,157],"beta":{"interval_sums":[147874,149032,140926],"interval_residues":[422,36,422],"display_cycle":[422,36,422],"intervals":[{"from_index":299,"to_index":687,"sum":147874,"residue":422},{"from_index":687,"to_index":1075,"sum":149032,"residue":36},{"from_index":1075,"to_index":299,"sum":140926,"residue":422}],"minimal_cycle":[422,36,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[299,687],"circle_positions":772,"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":[300,688,1076],"clock_positions":[300,688,1076],"native_values":[52,631,245],"rotation_degrees":92.78350515463917,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[52,631,245],"beta":{"interval_sums":[148172,148558,140838],"interval_residues":[720,334,334],"display_cycle":[720,334,334],"intervals":[{"from_index":300,"to_index":688,"sum":148172,"residue":720},{"from_index":688,"to_index":1076,"sum":148558,"residue":334},{"from_index":1076,"to_index":300,"sum":140838,"residue":334}],"minimal_cycle":[720,334,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":720,"start_interval_clock_positions":[300,688],"circle_positions":772,"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":[301,689,1077],"clock_positions":[301,689,1077],"native_values":[209,209,402],"rotation_degrees":93.09278350515464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,209,402],"beta":{"interval_sums":[148594,148594,140488],"interval_residues":[370,370,756],"display_cycle":[370,370,756],"intervals":[{"from_index":301,"to_index":689,"sum":148594,"residue":370},{"from_index":689,"to_index":1077,"sum":148594,"residue":370},{"from_index":1077,"to_index":301,"sum":140488,"residue":756}],"minimal_cycle":[370,370,756],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[301,689],"circle_positions":772,"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":[302,690,1078],"clock_positions":[302,690,1078],"native_values":[261,68,647],"rotation_degrees":93.4020618556701,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,68,647],"beta":{"interval_sums":[148542,148928,140050],"interval_residues":[318,704,318],"display_cycle":[318,704,318],"intervals":[{"from_index":302,"to_index":690,"sum":148542,"residue":318},{"from_index":690,"to_index":1078,"sum":148928,"residue":704},{"from_index":1078,"to_index":302,"sum":140050,"residue":318}],"minimal_cycle":[318,704,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[302,690],"circle_positions":772,"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":[303,691,1079],"clock_positions":[303,691,1079],"native_values":[470,277,277],"rotation_degrees":93.71134020618557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[470,277,277],"beta":{"interval_sums":[148140,149298,140034],"interval_residues":[688,302,302],"display_cycle":[688,302,302],"intervals":[{"from_index":303,"to_index":691,"sum":148140,"residue":688},{"from_index":691,"to_index":1079,"sum":149298,"residue":302},{"from_index":1079,"to_index":303,"sum":140034,"residue":302}],"minimal_cycle":[688,302,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[303,691],"circle_positions":772,"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":[304,692,1080],"clock_positions":[304,692,1080],"native_values":[731,345,152],"rotation_degrees":94.02061855670104,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[731,345,152],"beta":{"interval_sums":[147686,149230,140352],"interval_residues":[234,234,620],"display_cycle":[234,234,620],"intervals":[{"from_index":304,"to_index":692,"sum":147686,"residue":234},{"from_index":692,"to_index":1080,"sum":149230,"residue":234},{"from_index":1080,"to_index":304,"sum":140352,"residue":620}],"minimal_cycle":[234,234,620],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[304,692],"circle_positions":772,"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":[305,693,1081],"clock_positions":[305,693,1081],"native_values":[429,622,429],"rotation_degrees":94.3298969072165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,622,429],"beta":{"interval_sums":[147602,148760,140654],"interval_residues":[150,536,150],"display_cycle":[150,536,150],"intervals":[{"from_index":305,"to_index":693,"sum":147602,"residue":150},{"from_index":693,"to_index":1081,"sum":148760,"residue":536},{"from_index":1081,"to_index":305,"sum":140654,"residue":150}],"minimal_cycle":[150,536,150],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[305,693],"circle_positions":772,"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":[306,694,1082],"clock_positions":[306,694,1082],"native_values":[388,195,581],"rotation_degrees":94.63917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[388,195,581],"beta":{"interval_sums":[147836,148994,140502],"interval_residues":[384,770,770],"display_cycle":[384,770,770],"intervals":[{"from_index":306,"to_index":694,"sum":147836,"residue":384},{"from_index":694,"to_index":1082,"sum":148994,"residue":770},{"from_index":1082,"to_index":306,"sum":140502,"residue":770}],"minimal_cycle":[384,770,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":384,"start_interval_clock_positions":[306,694],"circle_positions":772,"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":[307,695,1083],"clock_positions":[307,695,1083],"native_values":[45,45,238],"rotation_degrees":94.94845360824742,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,45,238],"beta":{"interval_sums":[147986,149530,140652],"interval_residues":[534,534,148],"display_cycle":[534,534,148],"intervals":[{"from_index":307,"to_index":695,"sum":147986,"residue":534},{"from_index":695,"to_index":1083,"sum":149530,"residue":534},{"from_index":1083,"to_index":307,"sum":140652,"residue":148}],"minimal_cycle":[534,534,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[307,695],"circle_positions":772,"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":[308,696,1084],"clock_positions":[308,696,1084],"native_values":[433,240,47],"rotation_degrees":95.25773195876289,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,240,47],"beta":{"interval_sums":[147598,149528,140650],"interval_residues":[146,532,146],"display_cycle":[146,532,146],"intervals":[{"from_index":308,"to_index":696,"sum":147598,"residue":146},{"from_index":696,"to_index":1084,"sum":149528,"residue":532},{"from_index":1084,"to_index":308,"sum":140650,"residue":146}],"minimal_cycle":[146,532,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[308,696],"circle_positions":772,"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":[309,697,1085],"clock_positions":[309,697,1085],"native_values":[478,285,285],"rotation_degrees":95.56701030927834,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[478,285,285],"beta":{"interval_sums":[147360,149290,140798],"interval_residues":[680,294,294],"display_cycle":[680,294,294],"intervals":[{"from_index":309,"to_index":697,"sum":147360,"residue":680},{"from_index":697,"to_index":1085,"sum":149290,"residue":294},{"from_index":1085,"to_index":309,"sum":140798,"residue":294}],"minimal_cycle":[680,294,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[309,697],"circle_positions":772,"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":[310,698,1086],"clock_positions":[310,698,1086],"native_values":[139,525,332],"rotation_degrees":95.87628865979381,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,525,332],"beta":{"interval_sums":[147506,149050,140944],"interval_residues":[54,54,440],"display_cycle":[54,54,440],"intervals":[{"from_index":310,"to_index":698,"sum":147506,"residue":54},{"from_index":698,"to_index":1086,"sum":149050,"residue":54},{"from_index":1086,"to_index":310,"sum":140944,"residue":440}],"minimal_cycle":[54,54,440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[310,698],"circle_positions":772,"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":[311,699,1087],"clock_positions":[311,699,1087],"native_values":[617,38,617],"rotation_degrees":96.18556701030928,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,38,617],"beta":{"interval_sums":[147414,149344,140466],"interval_residues":[734,348,734],"display_cycle":[734,348,734],"intervals":[{"from_index":311,"to_index":699,"sum":147414,"residue":734},{"from_index":699,"to_index":1087,"sum":149344,"residue":348},{"from_index":1087,"to_index":311,"sum":140466,"residue":734}],"minimal_cycle":[734,348,734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[311,699],"circle_positions":772,"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":[312,700,1088],"clock_positions":[312,700,1088],"native_values":[756,563,177],"rotation_degrees":96.49484536082474,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[756,563,177],"beta":{"interval_sums":[146696,149398,140906],"interval_residues":[16,402,402],"display_cycle":[16,402,402],"intervals":[{"from_index":312,"to_index":700,"sum":146696,"residue":16},{"from_index":700,"to_index":1088,"sum":149398,"residue":402},{"from_index":1088,"to_index":312,"sum":140906,"residue":402}],"minimal_cycle":[16,402,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[312,700],"circle_positions":772,"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":[313,701,1089],"clock_positions":[313,701,1089],"native_values":[601,601,22],"rotation_degrees":96.80412371134021,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,601,22],"beta":{"interval_sums":[146658,148974,141640],"interval_residues":[750,750,364],"display_cycle":[750,750,364],"intervals":[{"from_index":313,"to_index":701,"sum":146658,"residue":750},{"from_index":701,"to_index":1089,"sum":148974,"residue":750},{"from_index":1089,"to_index":313,"sum":141640,"residue":364}],"minimal_cycle":[750,750,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":750,"start_interval_clock_positions":[313,701],"circle_positions":772,"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":[314,702,1090],"clock_positions":[314,702,1090],"native_values":[585,392,199],"rotation_degrees":97.11340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[585,392,199],"beta":{"interval_sums":[146674,148604,142042],"interval_residues":[766,380,766],"display_cycle":[766,380,766],"intervals":[{"from_index":314,"to_index":702,"sum":146674,"residue":766},{"from_index":702,"to_index":1090,"sum":148604,"residue":380},{"from_index":1090,"to_index":314,"sum":142042,"residue":766}],"minimal_cycle":[766,380,766],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":766,"start_interval_clock_positions":[314,702],"circle_positions":772,"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":[315,703,1091],"clock_positions":[315,703,1091],"native_values":[414,221,221],"rotation_degrees":97.42268041237114,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[414,221,221],"beta":{"interval_sums":[146652,148582,142406],"interval_residues":[744,358,358],"display_cycle":[744,358,358],"intervals":[{"from_index":315,"to_index":703,"sum":146652,"residue":744},{"from_index":703,"to_index":1091,"sum":148582,"residue":358},{"from_index":1091,"to_index":315,"sum":142406,"residue":358}],"minimal_cycle":[744,358,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":744,"start_interval_clock_positions":[315,703],"circle_positions":772,"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":[316,704,1092],"clock_positions":[316,704,1092],"native_values":[227,613,420],"rotation_degrees":97.73195876288659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,613,420],"beta":{"interval_sums":[146646,148190,142400],"interval_residues":[738,738,352],"display_cycle":[738,738,352],"intervals":[{"from_index":316,"to_index":704,"sum":146646,"residue":738},{"from_index":704,"to_index":1092,"sum":148190,"residue":738},{"from_index":1092,"to_index":316,"sum":142400,"residue":352}],"minimal_cycle":[738,738,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[316,704],"circle_positions":772,"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":[317,705,1093],"clock_positions":[317,705,1093],"native_values":[641,62,641],"rotation_degrees":98.04123711340206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,62,641],"beta":{"interval_sums":[146618,148548,141986],"interval_residues":[710,324,710],"display_cycle":[710,324,710],"intervals":[{"from_index":317,"to_index":705,"sum":146618,"residue":710},{"from_index":705,"to_index":1093,"sum":148548,"residue":324},{"from_index":1093,"to_index":317,"sum":141986,"residue":710}],"minimal_cycle":[710,324,710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[317,705],"circle_positions":772,"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":[318,706,1094],"clock_positions":[318,706,1094],"native_values":[96,675,289],"rotation_degrees":98.35051546391753,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[96,675,289],"beta":{"interval_sums":[146584,148514,142338],"interval_residues":[676,290,290],"display_cycle":[676,290,290],"intervals":[{"from_index":318,"to_index":706,"sum":146584,"residue":676},{"from_index":706,"to_index":1094,"sum":148514,"residue":290},{"from_index":1094,"to_index":318,"sum":142338,"residue":290}],"minimal_cycle":[676,290,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[318,706],"circle_positions":772,"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":[319,707,1095],"clock_positions":[319,707,1095],"native_values":[737,737,158],"rotation_degrees":98.65979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[737,737,158],"beta":{"interval_sums":[146522,148066,142276],"interval_residues":[614,614,228],"display_cycle":[614,614,228],"intervals":[{"from_index":319,"to_index":707,"sum":146522,"residue":614},{"from_index":707,"to_index":1095,"sum":148066,"residue":614},{"from_index":1095,"to_index":319,"sum":142276,"residue":228}],"minimal_cycle":[614,614,228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[319,707],"circle_positions":772,"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":[320,708,1096],"clock_positions":[320,708,1096],"native_values":[61,640,447],"rotation_degrees":98.96907216494846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,640,447],"beta":{"interval_sums":[147198,147584,142566],"interval_residues":[518,132,518],"display_cycle":[518,132,518],"intervals":[{"from_index":320,"to_index":708,"sum":147198,"residue":518},{"from_index":708,"to_index":1096,"sum":147584,"residue":132},{"from_index":1096,"to_index":320,"sum":142566,"residue":518}],"minimal_cycle":[518,132,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[320,708],"circle_positions":772,"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":[321,709,1097],"clock_positions":[321,709,1097],"native_values":[26,605,605],"rotation_degrees":99.27835051546391,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[26,605,605],"beta":{"interval_sums":[147812,147426,142022],"interval_residues":[360,746,746],"display_cycle":[360,746,746],"intervals":[{"from_index":321,"to_index":709,"sum":147812,"residue":360},{"from_index":709,"to_index":1097,"sum":147426,"residue":746},{"from_index":1097,"to_index":321,"sum":142022,"residue":746}],"minimal_cycle":[360,746,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[321,709],"circle_positions":772,"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":[322,710,1098],"clock_positions":[322,710,1098],"native_values":[87,473,280],"rotation_degrees":99.58762886597938,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[87,473,280],"beta":{"interval_sums":[148330,147558,141768],"interval_residues":[106,106,492],"display_cycle":[106,106,492],"intervals":[{"from_index":322,"to_index":710,"sum":148330,"residue":106},{"from_index":710,"to_index":1098,"sum":147558,"residue":106},{"from_index":1098,"to_index":322,"sum":141768,"residue":492}],"minimal_cycle":[106,106,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[322,710],"circle_positions":772,"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":[323,711,1099],"clock_positions":[323,711,1099],"native_values":[113,306,113],"rotation_degrees":99.89690721649484,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,306,113],"beta":{"interval_sums":[148690,147532,141742],"interval_residues":[466,80,466],"display_cycle":[466,80,466],"intervals":[{"from_index":323,"to_index":711,"sum":148690,"residue":466},{"from_index":711,"to_index":1099,"sum":147532,"residue":80},{"from_index":1099,"to_index":323,"sum":141742,"residue":466}],"minimal_cycle":[466,80,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[323,711],"circle_positions":772,"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":[324,712,1100],"clock_positions":[324,712,1100],"native_values":[200,7,393],"rotation_degrees":100.20618556701031,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,7,393],"beta":{"interval_sums":[148796,147638,141462],"interval_residues":[572,186,186],"display_cycle":[572,186,186],"intervals":[{"from_index":324,"to_index":712,"sum":148796,"residue":572},{"from_index":712,"to_index":1100,"sum":147638,"residue":186},{"from_index":1100,"to_index":324,"sum":141462,"residue":186}],"minimal_cycle":[572,186,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[324,712],"circle_positions":772,"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":[325,713,1101],"clock_positions":[325,713,1101],"native_values":[313,313,506],"rotation_degrees":100.51546391752578,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,313,506],"beta":{"interval_sums":[148490,147718,141156],"interval_residues":[266,266,652],"display_cycle":[266,266,652],"intervals":[{"from_index":325,"to_index":713,"sum":148490,"residue":266},{"from_index":713,"to_index":1101,"sum":147718,"residue":266},{"from_index":1101,"to_index":325,"sum":141156,"residue":652}],"minimal_cycle":[266,266,652],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[325,713],"circle_positions":772,"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":[326,714,1102],"clock_positions":[326,714,1102],"native_values":[513,320,127],"rotation_degrees":100.82474226804123,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,320,127],"beta":{"interval_sums":[148290,147904,141342],"interval_residues":[66,452,66],"display_cycle":[66,452,66],"intervals":[{"from_index":326,"to_index":714,"sum":148290,"residue":66},{"from_index":714,"to_index":1102,"sum":147904,"residue":452},{"from_index":1102,"to_index":326,"sum":141342,"residue":66}],"minimal_cycle":[66,452,66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[326,714],"circle_positions":772,"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":[327,715,1103],"clock_positions":[327,715,1103],"native_values":[54,633,633],"rotation_degrees":101.1340206185567,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[54,633,633],"beta":{"interval_sums":[148556,147398,141222],"interval_residues":[332,718,718],"display_cycle":[332,718,718],"intervals":[{"from_index":327,"to_index":715,"sum":148556,"residue":332},{"from_index":715,"to_index":1103,"sum":147398,"residue":718},{"from_index":1103,"to_index":327,"sum":141222,"residue":718}],"minimal_cycle":[332,718,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[327,715],"circle_positions":772,"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":[328,716,1104],"clock_positions":[328,716,1104],"native_values":[567,181,760],"rotation_degrees":101.44329896907216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,181,760],"beta":{"interval_sums":[148622,147850,140516],"interval_residues":[398,398,12],"display_cycle":[398,398,12],"intervals":[{"from_index":328,"to_index":716,"sum":148622,"residue":398},{"from_index":716,"to_index":1104,"sum":147850,"residue":398},{"from_index":1104,"to_index":328,"sum":140516,"residue":12}],"minimal_cycle":[398,398,12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[328,716],"circle_positions":772,"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":[329,717,1105],"clock_positions":[329,717,1105],"native_values":[621,42,621],"rotation_degrees":101.75257731958763,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[621,42,621],"beta":{"interval_sums":[148182,148568,140462],"interval_residues":[730,344,730],"display_cycle":[730,344,730],"intervals":[{"from_index":329,"to_index":717,"sum":148182,"residue":730},{"from_index":717,"to_index":1105,"sum":148568,"residue":344},{"from_index":1105,"to_index":329,"sum":140462,"residue":730}],"minimal_cycle":[730,344,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[329,717],"circle_positions":772,"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":[330,718,1106],"clock_positions":[330,718,1106],"native_values":[416,223,609],"rotation_degrees":102.0618556701031,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,223,609],"beta":{"interval_sums":[147808,148966,140474],"interval_residues":[356,742,742],"display_cycle":[356,742,742],"intervals":[{"from_index":330,"to_index":718,"sum":147808,"residue":356},{"from_index":718,"to_index":1106,"sum":148966,"residue":742},{"from_index":1106,"to_index":330,"sum":140474,"residue":742}],"minimal_cycle":[356,742,742],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[330,718],"circle_positions":772,"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":[331,719,1107],"clock_positions":[331,719,1107],"native_values":[265,265,458],"rotation_degrees":102.37113402061856,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,265,458],"beta":{"interval_sums":[147766,149310,140432],"interval_residues":[314,314,700],"display_cycle":[314,314,700],"intervals":[{"from_index":331,"to_index":719,"sum":147766,"residue":314},{"from_index":719,"to_index":1107,"sum":149310,"residue":314},{"from_index":1107,"to_index":331,"sum":140432,"residue":700}],"minimal_cycle":[314,314,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[331,719],"circle_positions":772,"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":[332,720,1108],"clock_positions":[332,720,1108],"native_values":[681,488,295],"rotation_degrees":102.68041237113403,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,488,295],"beta":{"interval_sums":[147350,149280,140402],"interval_residues":[670,284,670],"display_cycle":[670,284,670],"intervals":[{"from_index":332,"to_index":720,"sum":147350,"residue":670},{"from_index":720,"to_index":1108,"sum":149280,"residue":284},{"from_index":1108,"to_index":332,"sum":140402,"residue":670}],"minimal_cycle":[670,284,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[332,720],"circle_positions":772,"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":[333,721,1109],"clock_positions":[333,721,1109],"native_values":[174,753,753],"rotation_degrees":102.98969072164948,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[174,753,753],"beta":{"interval_sums":[147664,148822,140330],"interval_residues":[212,598,598],"display_cycle":[212,598,598],"intervals":[{"from_index":333,"to_index":721,"sum":147664,"residue":212},{"from_index":721,"to_index":1109,"sum":148822,"residue":598},{"from_index":1109,"to_index":333,"sum":140330,"residue":598}],"minimal_cycle":[212,598,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[333,721],"circle_positions":772,"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":[334,722,1110],"clock_positions":[334,722,1110],"native_values":[83,469,276],"rotation_degrees":103.29896907216495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[83,469,276],"beta":{"interval_sums":[148334,149106,140228],"interval_residues":[110,110,496],"display_cycle":[110,110,496],"intervals":[{"from_index":334,"to_index":722,"sum":148334,"residue":110},{"from_index":722,"to_index":1110,"sum":149106,"residue":110},{"from_index":1110,"to_index":334,"sum":140228,"residue":496}],"minimal_cycle":[110,110,496],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[334,722],"circle_positions":772,"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":[335,723,1111],"clock_positions":[335,723,1111],"native_values":[257,450,257],"rotation_degrees":103.6082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,450,257],"beta":{"interval_sums":[148546,148932,140054],"interval_residues":[322,708,322],"display_cycle":[322,708,322],"intervals":[{"from_index":335,"to_index":723,"sum":148546,"residue":322},{"from_index":723,"to_index":1111,"sum":148932,"residue":708},{"from_index":1111,"to_index":335,"sum":140054,"residue":322}],"minimal_cycle":[322,708,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[335,723],"circle_positions":772,"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":[336,724,1112],"clock_positions":[336,724,1112],"native_values":[340,147,533],"rotation_degrees":103.91752577319588,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[340,147,533],"beta":{"interval_sums":[148656,149042,139778],"interval_residues":[432,46,46],"display_cycle":[432,46,46],"intervals":[{"from_index":336,"to_index":724,"sum":148656,"residue":432},{"from_index":724,"to_index":1112,"sum":149042,"residue":46},{"from_index":1112,"to_index":336,"sum":139778,"residue":46}],"minimal_cycle":[432,46,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":432,"start_interval_clock_positions":[336,724],"circle_positions":772,"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":[337,725,1113],"clock_positions":[337,725,1113],"native_values":[597,597,18],"rotation_degrees":104.22680412371135,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[597,597,18],"beta":{"interval_sums":[148206,148978,140100],"interval_residues":[754,754,368],"display_cycle":[754,754,368],"intervals":[{"from_index":337,"to_index":725,"sum":148206,"residue":754},{"from_index":725,"to_index":1113,"sum":148978,"residue":754},{"from_index":1113,"to_index":337,"sum":140100,"residue":368}],"minimal_cycle":[754,754,368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":754,"start_interval_clock_positions":[337,725],"circle_positions":772,"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":[338,726,1114],"clock_positions":[338,726,1114],"native_values":[165,744,551],"rotation_degrees":104.5360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,744,551],"beta":{"interval_sums":[148638,148252,140146],"interval_residues":[414,28,414],"display_cycle":[414,28,414],"intervals":[{"from_index":338,"to_index":726,"sum":148638,"residue":414},{"from_index":726,"to_index":1114,"sum":148252,"residue":28},{"from_index":1114,"to_index":338,"sum":140146,"residue":414}],"minimal_cycle":[414,28,414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[338,726],"circle_positions":772,"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":[339,727,1115],"clock_positions":[339,727,1115],"native_values":[762,569,569],"rotation_degrees":104.84536082474227,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[762,569,569],"beta":{"interval_sums":[148620,148234,139742],"interval_residues":[396,10,10],"display_cycle":[396,10,10],"intervals":[{"from_index":339,"to_index":727,"sum":148620,"residue":396},{"from_index":727,"to_index":1115,"sum":148234,"residue":10},{"from_index":1115,"to_index":339,"sum":139742,"residue":10}],"minimal_cycle":[396,10,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[339,727],"circle_positions":772,"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":[340,728,1116],"clock_positions":[340,728,1116],"native_values":[155,541,348],"rotation_degrees":105.15463917525773,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[155,541,348],"beta":{"interval_sums":[149034,148262,140156],"interval_residues":[38,38,424],"display_cycle":[38,38,424],"intervals":[{"from_index":340,"to_index":728,"sum":149034,"residue":38},{"from_index":728,"to_index":1116,"sum":148262,"residue":38},{"from_index":1116,"to_index":340,"sum":140156,"residue":424}],"minimal_cycle":[38,38,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[340,728],"circle_positions":772,"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":[341,729,1117],"clock_positions":[341,729,1117],"native_values":[145,338,145],"rotation_degrees":105.4639175257732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,338,145],"beta":{"interval_sums":[149430,148272,140166],"interval_residues":[434,48,434],"display_cycle":[434,48,434],"intervals":[{"from_index":341,"to_index":729,"sum":149430,"residue":434},{"from_index":729,"to_index":1117,"sum":148272,"residue":48},{"from_index":1117,"to_index":341,"sum":140166,"residue":434}],"minimal_cycle":[434,48,434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[341,729],"circle_positions":772,"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":[342,730,1118],"clock_positions":[342,730,1118],"native_values":[300,107,493],"rotation_degrees":105.77319587628865,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,107,493],"beta":{"interval_sums":[149468,148310,139818],"interval_residues":[472,86,86],"display_cycle":[472,86,86],"intervals":[{"from_index":342,"to_index":730,"sum":149468,"residue":472},{"from_index":730,"to_index":1118,"sum":148310,"residue":86},{"from_index":1118,"to_index":342,"sum":139818,"residue":86}],"minimal_cycle":[472,86,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[342,730],"circle_positions":772,"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":[343,731,1119],"clock_positions":[343,731,1119],"native_values":[445,445,638],"rotation_degrees":106.08247422680412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[445,445,638],"beta":{"interval_sums":[149130,148358,139480],"interval_residues":[134,134,520],"display_cycle":[134,134,520],"intervals":[{"from_index":343,"to_index":731,"sum":149130,"residue":134},{"from_index":731,"to_index":1119,"sum":148358,"residue":134},{"from_index":1119,"to_index":343,"sum":139480,"residue":520}],"minimal_cycle":[134,134,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[343,731],"circle_positions":772,"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":[344,732,1120],"clock_positions":[344,732,1120],"native_values":[745,552,359],"rotation_degrees":106.3917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[745,552,359],"beta":{"interval_sums":[148830,148444,139566],"interval_residues":[606,220,606],"display_cycle":[606,220,606],"intervals":[{"from_index":344,"to_index":732,"sum":148830,"residue":606},{"from_index":732,"to_index":1120,"sum":148444,"residue":220},{"from_index":1120,"to_index":344,"sum":139566,"residue":606}],"minimal_cycle":[606,220,606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[344,732],"circle_positions":772,"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":[345,733,1121],"clock_positions":[345,733,1121],"native_values":[418,225,225],"rotation_degrees":106.70103092783505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,225,225],"beta":{"interval_sums":[148964,148578,140086],"interval_residues":[740,354,354],"display_cycle":[740,354,354],"intervals":[{"from_index":345,"to_index":733,"sum":148964,"residue":740},{"from_index":733,"to_index":1121,"sum":148578,"residue":354},{"from_index":1121,"to_index":345,"sum":140086,"residue":354}],"minimal_cycle":[740,354,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":740,"start_interval_clock_positions":[345,733],"circle_positions":772,"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":[346,734,1122],"clock_positions":[346,734,1122],"native_values":[391,5,584],"rotation_degrees":107.01030927835052,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,5,584],"beta":{"interval_sums":[148798,148798,139920],"interval_residues":[574,574,188],"display_cycle":[574,574,188],"intervals":[{"from_index":346,"to_index":734,"sum":148798,"residue":574},{"from_index":734,"to_index":1122,"sum":148798,"residue":574},{"from_index":1122,"to_index":346,"sum":139920,"residue":188}],"minimal_cycle":[574,574,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[346,734],"circle_positions":772,"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":[347,735,1123],"clock_positions":[347,735,1123],"native_values":[37,230,37],"rotation_degrees":107.31958762886597,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,230,37],"beta":{"interval_sums":[148766,149152,140274],"interval_residues":[542,156,542],"display_cycle":[542,156,542],"intervals":[{"from_index":347,"to_index":735,"sum":148766,"residue":542},{"from_index":735,"to_index":1123,"sum":149152,"residue":156},{"from_index":1123,"to_index":347,"sum":140274,"residue":542}],"minimal_cycle":[542,156,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[347,735],"circle_positions":772,"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":[348,736,1124],"clock_positions":[348,736,1124],"native_values":[428,235,621],"rotation_degrees":107.62886597938144,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,235,621],"beta":{"interval_sums":[148568,148954,139690],"interval_residues":[344,730,730],"display_cycle":[344,730,730],"intervals":[{"from_index":348,"to_index":736,"sum":148568,"residue":344},{"from_index":736,"to_index":1124,"sum":148954,"residue":730},{"from_index":1124,"to_index":348,"sum":139690,"residue":730}],"minimal_cycle":[344,730,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[348,736],"circle_positions":772,"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":[349,737,1125],"clock_positions":[349,737,1125],"native_values":[465,465,658],"rotation_degrees":107.9381443298969,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[465,465,658],"beta":{"interval_sums":[148338,149110,139460],"interval_residues":[114,114,500],"display_cycle":[114,114,500],"intervals":[{"from_index":349,"to_index":737,"sum":148338,"residue":114},{"from_index":737,"to_index":1125,"sum":149110,"residue":114},{"from_index":1125,"to_index":349,"sum":139460,"residue":500}],"minimal_cycle":[114,114,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[349,737],"circle_positions":772,"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":[350,738,1126],"clock_positions":[350,738,1126],"native_values":[121,700,507],"rotation_degrees":108.24742268041237,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,700,507],"beta":{"interval_sums":[148682,149068,139418],"interval_residues":[458,72,458],"display_cycle":[458,72,458],"intervals":[{"from_index":350,"to_index":738,"sum":148682,"residue":458},{"from_index":738,"to_index":1126,"sum":149068,"residue":72},{"from_index":1126,"to_index":350,"sum":139418,"residue":458}],"minimal_cycle":[458,72,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[350,738],"circle_positions":772,"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":[351,739,1127],"clock_positions":[351,739,1127],"native_values":[586,393,393],"rotation_degrees":108.55670103092784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[586,393,393],"beta":{"interval_sums":[148796,149182,139146],"interval_residues":[572,186,186],"display_cycle":[572,186,186],"intervals":[{"from_index":351,"to_index":739,"sum":148796,"residue":572},{"from_index":739,"to_index":1127,"sum":149182,"residue":186},{"from_index":1127,"to_index":351,"sum":139146,"residue":186}],"minimal_cycle":[572,186,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[351,739],"circle_positions":772,"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":[352,740,1128],"clock_positions":[352,740,1128],"native_values":[707,321,128],"rotation_degrees":108.8659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,321,128],"beta":{"interval_sums":[148482,149254,139604],"interval_residues":[258,258,644],"display_cycle":[258,258,644],"intervals":[{"from_index":352,"to_index":740,"sum":148482,"residue":258},{"from_index":740,"to_index":1128,"sum":149254,"residue":258},{"from_index":1128,"to_index":352,"sum":139604,"residue":644}],"minimal_cycle":[258,258,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[352,740],"circle_positions":772,"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":[353,741,1129],"clock_positions":[353,741,1129],"native_values":[521,714,521],"rotation_degrees":109.17525773195877,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,714,521],"beta":{"interval_sums":[148282,148668,139790],"interval_residues":[58,444,58],"display_cycle":[58,444,58],"intervals":[{"from_index":353,"to_index":741,"sum":148282,"residue":58},{"from_index":741,"to_index":1129,"sum":148668,"residue":444},{"from_index":1129,"to_index":353,"sum":139790,"residue":58}],"minimal_cycle":[58,444,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[353,741],"circle_positions":772,"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":[354,742,1130],"clock_positions":[354,742,1130],"native_values":[456,263,649],"rotation_degrees":109.48453608247422,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[456,263,649],"beta":{"interval_sums":[148540,148926,139662],"interval_residues":[316,702,702],"display_cycle":[316,702,702],"intervals":[{"from_index":354,"to_index":742,"sum":148540,"residue":316},{"from_index":742,"to_index":1130,"sum":148926,"residue":702},{"from_index":1130,"to_index":354,"sum":139662,"residue":702}],"minimal_cycle":[316,702,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[354,742],"circle_positions":772,"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":[355,743,1131],"clock_positions":[355,743,1131],"native_values":[205,205,398],"rotation_degrees":109.79381443298969,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,205,398],"beta":{"interval_sums":[148598,149370,139720],"interval_residues":[374,374,760],"display_cycle":[374,374,760],"intervals":[{"from_index":355,"to_index":743,"sum":148598,"residue":374},{"from_index":743,"to_index":1131,"sum":149370,"residue":374},{"from_index":1131,"to_index":355,"sum":139720,"residue":760}],"minimal_cycle":[374,374,760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[355,743],"circle_positions":772,"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":[356,744,1132],"clock_positions":[356,744,1132],"native_values":[661,468,275],"rotation_degrees":110.10309278350516,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,468,275],"beta":{"interval_sums":[148142,149300,139650],"interval_residues":[690,304,690],"display_cycle":[690,304,690],"intervals":[{"from_index":356,"to_index":744,"sum":148142,"residue":690},{"from_index":744,"to_index":1132,"sum":149300,"residue":304},{"from_index":1132,"to_index":356,"sum":139650,"residue":690}],"minimal_cycle":[690,304,690],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[356,744],"circle_positions":772,"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":[357,745,1133],"clock_positions":[357,745,1133],"native_values":[94,673,673],"rotation_degrees":110.41237113402062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[94,673,673],"beta":{"interval_sums":[148516,148902,139638],"interval_residues":[292,678,678],"display_cycle":[292,678,678],"intervals":[{"from_index":357,"to_index":745,"sum":148516,"residue":292},{"from_index":745,"to_index":1133,"sum":148902,"residue":678},{"from_index":1133,"to_index":357,"sum":139638,"residue":678}],"minimal_cycle":[292,678,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[357,745],"circle_positions":772,"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":[358,746,1134],"clock_positions":[358,746,1134],"native_values":[755,369,176],"rotation_degrees":110.72164948453609,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[755,369,176],"beta":{"interval_sums":[148434,149206,139556],"interval_residues":[210,210,596],"display_cycle":[210,210,596],"intervals":[{"from_index":358,"to_index":746,"sum":148434,"residue":210},{"from_index":746,"to_index":1134,"sum":149206,"residue":210},{"from_index":1134,"to_index":358,"sum":139556,"residue":596}],"minimal_cycle":[210,210,596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[358,746],"circle_positions":772,"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":[359,747,1135],"clock_positions":[359,747,1135],"native_values":[77,270,77],"rotation_degrees":111.03092783505154,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,270,77],"beta":{"interval_sums":[148726,149112,140234],"interval_residues":[502,116,502],"display_cycle":[502,116,502],"intervals":[{"from_index":359,"to_index":747,"sum":148726,"residue":502},{"from_index":747,"to_index":1135,"sum":149112,"residue":116},{"from_index":1135,"to_index":359,"sum":140234,"residue":502}],"minimal_cycle":[502,116,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[359,747],"circle_positions":772,"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":[360,748,1136],"clock_positions":[360,748,1136],"native_values":[60,639,253],"rotation_degrees":111.34020618556701,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,639,253],"beta":{"interval_sums":[148936,148550,140058],"interval_residues":[712,326,326],"display_cycle":[712,326,326],"intervals":[{"from_index":360,"to_index":748,"sum":148936,"residue":712},{"from_index":748,"to_index":1136,"sum":148550,"residue":326},{"from_index":1136,"to_index":360,"sum":140058,"residue":326}],"minimal_cycle":[712,326,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[360,748],"circle_positions":772,"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":[361,749,1137],"clock_positions":[361,749,1137],"native_values":[137,137,330],"rotation_degrees":111.64948453608247,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,137,330],"beta":{"interval_sums":[149438,148666,139788],"interval_residues":[442,442,56],"display_cycle":[442,442,56],"intervals":[{"from_index":361,"to_index":749,"sum":149438,"residue":442},{"from_index":749,"to_index":1137,"sum":148666,"residue":442},{"from_index":1137,"to_index":361,"sum":139788,"residue":56}],"minimal_cycle":[442,442,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[361,749],"circle_positions":772,"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":[362,750,1138],"clock_positions":[362,750,1138],"native_values":[197,4,583],"rotation_degrees":111.95876288659794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,4,583],"beta":{"interval_sums":[149378,148992,139342],"interval_residues":[382,768,382],"display_cycle":[382,768,382],"intervals":[{"from_index":362,"to_index":750,"sum":149378,"residue":382},{"from_index":750,"to_index":1138,"sum":148992,"residue":768},{"from_index":1138,"to_index":362,"sum":139342,"residue":382}],"minimal_cycle":[382,768,382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[362,750],"circle_positions":772,"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":[363,751,1139],"clock_positions":[363,751,1139],"native_values":[334,141,141],"rotation_degrees":112.26804123711341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[334,141,141],"beta":{"interval_sums":[149048,149434,139398],"interval_residues":[52,438,438],"display_cycle":[52,438,438],"intervals":[{"from_index":363,"to_index":751,"sum":149048,"residue":52},{"from_index":751,"to_index":1139,"sum":149434,"residue":438},{"from_index":1139,"to_index":363,"sum":139398,"residue":438}],"minimal_cycle":[52,438,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[363,751],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-364","shape":"Equilateral triangle","alpha_indices":[364,752,1140],"clock_positions":[364,752,1140],"native_values":[531,145,724],"rotation_degrees":112.57731958762886,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,145,724],"beta":{"interval_sums":[148658,149430,139008],"interval_residues":[434,434,48],"display_cycle":[434,434,48],"intervals":[{"from_index":364,"to_index":752,"sum":148658,"residue":434},{"from_index":752,"to_index":1140,"sum":149430,"residue":434},{"from_index":1140,"to_index":364,"sum":139008,"residue":48}],"minimal_cycle":[434,434,48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[364,752],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-365","shape":"Equilateral triangle","alpha_indices":[365,753,1141],"clock_positions":[365,753,1141],"native_values":[93,286,93],"rotation_degrees":112.88659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,286,93],"beta":{"interval_sums":[148710,149868,139446],"interval_residues":[486,100,486],"display_cycle":[486,100,486],"intervals":[{"from_index":365,"to_index":753,"sum":148710,"residue":486},{"from_index":753,"to_index":1141,"sum":149868,"residue":100},{"from_index":1141,"to_index":365,"sum":139446,"residue":486}],"minimal_cycle":[486,100,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[365,753],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-366","shape":"Equilateral triangle","alpha_indices":[366,754,1142],"clock_positions":[366,754,1142],"native_values":[624,431,45],"rotation_degrees":113.19587628865979,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,431,45],"beta":{"interval_sums":[148372,149530,139494],"interval_residues":[148,534,534],"display_cycle":[148,534,534],"intervals":[{"from_index":366,"to_index":754,"sum":148372,"residue":148},{"from_index":754,"to_index":1142,"sum":149530,"residue":534},{"from_index":1142,"to_index":366,"sum":139494,"residue":534}],"minimal_cycle":[148,534,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":148,"start_interval_clock_positions":[366,754],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-367","shape":"Equilateral triangle","alpha_indices":[367,755,1143],"clock_positions":[367,755,1143],"native_values":[717,717,138],"rotation_degrees":113.50515463917526,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[717,717,138],"beta":{"interval_sums":[148086,148858,139980],"interval_residues":[634,634,248],"display_cycle":[634,634,248],"intervals":[{"from_index":367,"to_index":755,"sum":148086,"residue":634},{"from_index":755,"to_index":1143,"sum":148858,"residue":634},{"from_index":1143,"to_index":367,"sum":139980,"residue":248}],"minimal_cycle":[634,634,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[367,755],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-368","shape":"Equilateral triangle","alpha_indices":[368,756,1144],"clock_positions":[368,756,1144],"native_values":[569,376,183],"rotation_degrees":113.81443298969072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,376,183],"beta":{"interval_sums":[148234,148620,140514],"interval_residues":[10,396,10],"display_cycle":[10,396,10],"intervals":[{"from_index":368,"to_index":756,"sum":148234,"residue":10},{"from_index":756,"to_index":1144,"sum":148620,"residue":396},{"from_index":1144,"to_index":368,"sum":140514,"residue":10}],"minimal_cycle":[10,396,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[368,756],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-369","shape":"Equilateral triangle","alpha_indices":[369,757,1145],"clock_positions":[369,757,1145],"native_values":[514,321,321],"rotation_degrees":114.12371134020619,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,321,321],"beta":{"interval_sums":[148096,148482,140762],"interval_residues":[644,258,258],"display_cycle":[644,258,258],"intervals":[{"from_index":369,"to_index":757,"sum":148096,"residue":644},{"from_index":757,"to_index":1145,"sum":148482,"residue":258},{"from_index":1145,"to_index":369,"sum":140762,"residue":258}],"minimal_cycle":[644,258,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[369,757],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-370","shape":"Equilateral triangle","alpha_indices":[370,758,1146],"clock_positions":[370,758,1146],"native_values":[311,697,504],"rotation_degrees":114.43298969072166,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,697,504],"beta":{"interval_sums":[148106,148106,140772],"interval_residues":[654,654,268],"display_cycle":[654,654,268],"intervals":[{"from_index":370,"to_index":758,"sum":148106,"residue":654},{"from_index":758,"to_index":1146,"sum":148106,"residue":654},{"from_index":1146,"to_index":370,"sum":140772,"residue":268}],"minimal_cycle":[654,654,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[370,758],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-371","shape":"Equilateral triangle","alpha_indices":[371,759,1147],"clock_positions":[371,759,1147],"native_values":[53,246,53],"rotation_degrees":114.74226804123711,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,246,53],"beta":{"interval_sums":[148750,148364,141030],"interval_residues":[526,140,526],"display_cycle":[526,140,526],"intervals":[{"from_index":371,"to_index":759,"sum":148750,"residue":526},{"from_index":759,"to_index":1147,"sum":148364,"residue":140},{"from_index":1147,"to_index":371,"sum":141030,"residue":526}],"minimal_cycle":[526,140,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[371,759],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-372","shape":"Equilateral triangle","alpha_indices":[372,760,1148],"clock_positions":[372,760,1148],"native_values":[364,171,557],"rotation_degrees":115.05154639175258,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[364,171,557],"beta":{"interval_sums":[148632,148246,140526],"interval_residues":[408,22,22],"display_cycle":[408,22,22],"intervals":[{"from_index":372,"to_index":760,"sum":148632,"residue":408},{"from_index":760,"to_index":1148,"sum":148246,"residue":22},{"from_index":1148,"to_index":372,"sum":140526,"residue":22}],"minimal_cycle":[408,22,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[372,760],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-373","shape":"Equilateral triangle","alpha_indices":[373,761,1149],"clock_positions":[373,761,1149],"native_values":[417,417,610],"rotation_degrees":115.36082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,417,610],"beta":{"interval_sums":[148386,148386,140280],"interval_residues":[162,162,548],"display_cycle":[162,162,548],"intervals":[{"from_index":373,"to_index":761,"sum":148386,"residue":162},{"from_index":761,"to_index":1149,"sum":148386,"residue":162},{"from_index":1149,"to_index":373,"sum":140280,"residue":548}],"minimal_cycle":[162,162,548],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[373,761],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-374","shape":"Equilateral triangle","alpha_indices":[374,762,1150],"clock_positions":[374,762,1150],"native_values":[9,588,395],"rotation_degrees":115.6701030927835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,588,395],"beta":{"interval_sums":[148794,148408,140302],"interval_residues":[570,184,570],"display_cycle":[570,184,570],"intervals":[{"from_index":374,"to_index":762,"sum":148794,"residue":570},{"from_index":762,"to_index":1150,"sum":148408,"residue":184},{"from_index":1150,"to_index":374,"sum":140302,"residue":570}],"minimal_cycle":[570,184,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[374,762],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-375","shape":"Equilateral triangle","alpha_indices":[375,763,1151],"clock_positions":[375,763,1151],"native_values":[426,233,233],"rotation_degrees":115.97938144329896,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,233,233],"beta":{"interval_sums":[148956,148570,140078],"interval_residues":[732,346,346],"display_cycle":[732,346,346],"intervals":[{"from_index":375,"to_index":763,"sum":148956,"residue":732},{"from_index":763,"to_index":1151,"sum":148570,"residue":346},{"from_index":1151,"to_index":375,"sum":140078,"residue":346}],"minimal_cycle":[732,346,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[375,763],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-376","shape":"Equilateral triangle","alpha_indices":[376,764,1152],"clock_positions":[376,764,1152],"native_values":[435,49,628],"rotation_degrees":116.28865979381443,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[435,49,628],"beta":{"interval_sums":[148754,148754,139876],"interval_residues":[530,530,144],"display_cycle":[530,530,144],"intervals":[{"from_index":376,"to_index":764,"sum":148754,"residue":530},{"from_index":764,"to_index":1152,"sum":148754,"residue":530},{"from_index":1152,"to_index":376,"sum":139876,"residue":144}],"minimal_cycle":[530,530,144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[376,764],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-377","shape":"Equilateral triangle","alpha_indices":[377,765,1153],"clock_positions":[377,765,1153],"native_values":[89,282,89],"rotation_degrees":116.5979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,282,89],"beta":{"interval_sums":[148714,149100,140222],"interval_residues":[490,104,490],"display_cycle":[490,104,490],"intervals":[{"from_index":377,"to_index":765,"sum":148714,"residue":490},{"from_index":765,"to_index":1153,"sum":149100,"residue":104},{"from_index":1153,"to_index":377,"sum":140222,"residue":490}],"minimal_cycle":[490,104,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[377,765],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-378","shape":"Equilateral triangle","alpha_indices":[378,766,1154],"clock_positions":[378,766,1154],"native_values":[524,331,717],"rotation_degrees":116.90721649484536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,331,717],"beta":{"interval_sums":[148472,148858,139594],"interval_residues":[248,634,634],"display_cycle":[248,634,634],"intervals":[{"from_index":378,"to_index":766,"sum":148472,"residue":248},{"from_index":766,"to_index":1154,"sum":148858,"residue":634},{"from_index":1154,"to_index":378,"sum":139594,"residue":634}],"minimal_cycle":[248,634,634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[378,766],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-379","shape":"Equilateral triangle","alpha_indices":[379,767,1155],"clock_positions":[379,767,1155],"native_values":[613,613,34],"rotation_degrees":117.21649484536083,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,613,34],"beta":{"interval_sums":[148190,148962,140084],"interval_residues":[738,738,352],"display_cycle":[738,738,352],"intervals":[{"from_index":379,"to_index":767,"sum":148190,"residue":738},{"from_index":767,"to_index":1155,"sum":148962,"residue":738},{"from_index":1155,"to_index":379,"sum":140084,"residue":352}],"minimal_cycle":[738,738,352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[379,767],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-380","shape":"Equilateral triangle","alpha_indices":[380,768,1156],"clock_positions":[380,768,1156],"native_values":[365,172,751],"rotation_degrees":117.52577319587628,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,172,751],"beta":{"interval_sums":[148438,148824,139946],"interval_residues":[214,600,214],"display_cycle":[214,600,214],"intervals":[{"from_index":380,"to_index":768,"sum":148438,"residue":214},{"from_index":768,"to_index":1156,"sum":148824,"residue":600},{"from_index":1156,"to_index":380,"sum":139946,"residue":214}],"minimal_cycle":[214,600,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[380,768],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-381","shape":"Equilateral triangle","alpha_indices":[381,769,1157],"clock_positions":[381,769,1157],"native_values":[206,13,13],"rotation_degrees":117.83505154639175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[206,13,13],"beta":{"interval_sums":[148404,149562,140298],"interval_residues":[180,566,566],"display_cycle":[180,566,566],"intervals":[{"from_index":381,"to_index":769,"sum":148404,"residue":180},{"from_index":769,"to_index":1157,"sum":149562,"residue":566},{"from_index":1157,"to_index":381,"sum":140298,"residue":566}],"minimal_cycle":[180,566,566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":180,"start_interval_clock_positions":[381,769],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-382","shape":"Equilateral triangle","alpha_indices":[382,770,1158],"clock_positions":[382,770,1158],"native_values":[571,185,764],"rotation_degrees":118.14432989690722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,185,764],"beta":{"interval_sums":[147846,149390,139740],"interval_residues":[394,394,8],"display_cycle":[394,394,8],"intervals":[{"from_index":382,"to_index":770,"sum":147846,"residue":394},{"from_index":770,"to_index":1158,"sum":149390,"residue":394},{"from_index":1158,"to_index":382,"sum":139740,"residue":8}],"minimal_cycle":[394,394,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[382,770],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-383","shape":"Equilateral triangle","alpha_indices":[383,771,1159],"clock_positions":[383,771,1159],"native_values":[5,198,5],"rotation_degrees":118.45360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,198,5],"beta":{"interval_sums":[148026,149956,140306],"interval_residues":[574,188,574],"display_cycle":[574,188,574],"intervals":[{"from_index":383,"to_index":771,"sum":148026,"residue":574},{"from_index":771,"to_index":1159,"sum":149956,"residue":188},{"from_index":1159,"to_index":383,"sum":140306,"residue":574}],"minimal_cycle":[574,188,574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[383,771],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-384","shape":"Equilateral triangle","alpha_indices":[384,772,1160],"clock_positions":[384,772,1160],"native_values":[576,383,769],"rotation_degrees":118.76288659793815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[576,383,769],"beta":{"interval_sums":[147648,149578,139542],"interval_residues":[196,582,582],"display_cycle":[196,582,582],"intervals":[{"from_index":384,"to_index":772,"sum":147648,"residue":196},{"from_index":772,"to_index":1160,"sum":149578,"residue":582},{"from_index":1160,"to_index":384,"sum":139542,"residue":582}],"minimal_cycle":[196,582,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[384,772],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-385","shape":"Equilateral triangle","alpha_indices":[385,773,1161],"clock_positions":[385,773,1161],"native_values":[581,581,2],"rotation_degrees":119.0721649484536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[581,581,2],"beta":{"interval_sums":[147450,149766,140116],"interval_residues":[770,770,384],"display_cycle":[770,770,384],"intervals":[{"from_index":385,"to_index":773,"sum":147450,"residue":770},{"from_index":773,"to_index":1161,"sum":149766,"residue":770},{"from_index":1161,"to_index":385,"sum":140116,"residue":384}],"minimal_cycle":[770,770,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[385,773],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-386","shape":"Equilateral triangle","alpha_indices":[386,774,1162],"clock_positions":[386,774,1162],"native_values":[385,192,771],"rotation_degrees":119.38144329896907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,192,771],"beta":{"interval_sums":[147646,149576,139926],"interval_residues":[194,580,194],"display_cycle":[194,580,194],"intervals":[{"from_index":386,"to_index":774,"sum":147646,"residue":194},{"from_index":774,"to_index":1162,"sum":149576,"residue":580},{"from_index":1162,"to_index":386,"sum":139926,"residue":194}],"minimal_cycle":[194,580,194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[386,774],"circle_positions":772,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-387","shape":"Equilateral triangle","alpha_indices":[387,775,1163],"clock_positions":[387,775,1163],"native_values":[194,1,1],"rotation_degrees":119.69072164948453,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,1,1],"beta":{"interval_sums":[147644,150346,140310],"interval_residues":[192,578,578],"display_cycle":[192,578,578],"intervals":[{"from_index":387,"to_index":775,"sum":147644,"residue":192},{"from_index":775,"to_index":1163,"sum":150346,"residue":578},{"from_index":1163,"to_index":387,"sum":140310,"residue":578}],"minimal_cycle":[192,578,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[387,775],"circle_positions":772,"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":[0,194,388,582,776,970],"clock_positions":[1164,194,388,582,776,970],"native_values":[772,193,579,772,193,579],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[772,193,579],"beta":{"interval_sums":[66969,73342,75461,71605,74110,75465],"interval_residues":[577,2,577,581,770,581],"display_cycle":[577,2,577,581,770,581],"intervals":[{"from_index":0,"to_index":194,"sum":66969,"residue":577},{"from_index":194,"to_index":388,"sum":73342,"residue":2},{"from_index":388,"to_index":582,"sum":75461,"residue":577},{"from_index":582,"to_index":776,"sum":71605,"residue":581},{"from_index":776,"to_index":970,"sum":74110,"residue":770},{"from_index":970,"to_index":0,"sum":75465,"residue":581}],"minimal_cycle":[577,2,577,581,770,581],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[1164,194],"circle_positions":772,"cycle_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":[1,195,389,583,777,971],"clock_positions":[1,195,389,583,777,971],"native_values":[1,578,1,385,194,385],"rotation_degrees":0.30927835051546393,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,578,1,385,194,385],"beta":{"interval_sums":[67161,73343,75460,71413,74495,75080],"interval_residues":[769,3,576,389,383,196],"display_cycle":[769,3,576,389,383,196],"intervals":[{"from_index":1,"to_index":195,"sum":67161,"residue":769},{"from_index":195,"to_index":389,"sum":73343,"residue":3},{"from_index":389,"to_index":583,"sum":75460,"residue":576},{"from_index":583,"to_index":777,"sum":71413,"residue":389},{"from_index":777,"to_index":971,"sum":74495,"residue":383},{"from_index":971,"to_index":1,"sum":75080,"residue":196}],"minimal_cycle":[769,3,576,389,383,196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":769,"start_interval_clock_positions":[1,195],"circle_positions":772,"cycle_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":[2,196,390,584,778,972],"clock_positions":[2,196,390,584,778,972],"native_values":[1,771,580,385,387,192],"rotation_degrees":0.6185567010309279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,771,580,385,387,192],"beta":{"interval_sums":[67738,72573,75265,71222,74493,74889],"interval_residues":[574,5,381,198,381,5],"display_cycle":[574,5,381,198,381,5],"intervals":[{"from_index":2,"to_index":196,"sum":67738,"residue":574},{"from_index":196,"to_index":390,"sum":72573,"residue":5},{"from_index":390,"to_index":584,"sum":75265,"residue":381},{"from_index":584,"to_index":778,"sum":71222,"residue":198},{"from_index":778,"to_index":972,"sum":74493,"residue":381},{"from_index":972,"to_index":2,"sum":74889,"residue":5}],"minimal_cycle":[574,5,381,198,381,5],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[2,196],"circle_positions":772,"cycle_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":[3,197,391,585,779,973],"clock_positions":[3,197,391,585,779,973],"native_values":[2,577,581,770,581,577],"rotation_degrees":0.9278350515463918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,577,581,770,581,577],"beta":{"interval_sums":[68507,72576,75069,70839,74104,74313],"interval_residues":[571,8,185,587,764,201],"display_cycle":[571,8,185,587,764,201],"intervals":[{"from_index":3,"to_index":197,"sum":68507,"residue":571},{"from_index":197,"to_index":391,"sum":72576,"residue":8},{"from_index":391,"to_index":585,"sum":75069,"residue":185},{"from_index":585,"to_index":779,"sum":70839,"residue":587},{"from_index":779,"to_index":973,"sum":74104,"residue":764},{"from_index":973,"to_index":3,"sum":74313,"residue":201}],"minimal_cycle":[571,8,185,587,764,201],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[3,197],"circle_positions":772,"cycle_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":[4,198,392,586,780,974],"clock_positions":[4,198,392,586,780,974],"native_values":[3,576,389,383,196,769],"rotation_degrees":1.2371134020618557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,576,389,383,196,769],"beta":{"interval_sums":[69081,72581,75450,71037,74485,73546],"interval_residues":[373,13,566,13,373,206],"display_cycle":[373,13,566,13,373,206],"intervals":[{"from_index":4,"to_index":198,"sum":69081,"residue":373},{"from_index":198,"to_index":392,"sum":72581,"residue":13},{"from_index":392,"to_index":586,"sum":75450,"residue":566},{"from_index":586,"to_index":780,"sum":71037,"residue":13},{"from_index":780,"to_index":974,"sum":74485,"residue":373},{"from_index":974,"to_index":4,"sum":73546,"residue":206}],"minimal_cycle":[373,13,566,13,373,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":373,"start_interval_clock_positions":[4,198],"circle_positions":772,"cycle_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":[5,199,393,587,781,975],"clock_positions":[5,199,393,587,781,975],"native_values":[5,381,198,381,5,574],"rotation_degrees":1.5463917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,381,198,381,5,574],"beta":{"interval_sums":[69652,72589,75635,70852,75249,72975],"interval_residues":[172,21,751,600,365,407],"display_cycle":[172,21,751,600,365,407],"intervals":[{"from_index":5,"to_index":199,"sum":69652,"residue":172},{"from_index":199,"to_index":393,"sum":72589,"residue":21},{"from_index":393,"to_index":587,"sum":75635,"residue":751},{"from_index":587,"to_index":781,"sum":70852,"residue":600},{"from_index":781,"to_index":975,"sum":75249,"residue":365},{"from_index":975,"to_index":5,"sum":72975,"residue":407}],"minimal_cycle":[172,21,751,600,365,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[5,199],"circle_positions":772,"cycle_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":[6,200,394,588,782,976],"clock_positions":[6,200,394,588,782,976],"native_values":[8,185,587,764,201,571],"rotation_degrees":1.8556701030927836,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,185,587,764,201,571],"beta":{"interval_sums":[70025,72602,75429,70093,75622,72409],"interval_residues":[545,34,545,613,738,613],"display_cycle":[545,34,545,613,738,613],"intervals":[{"from_index":6,"to_index":200,"sum":70025,"residue":545},{"from_index":200,"to_index":394,"sum":72602,"residue":34},{"from_index":394,"to_index":588,"sum":75429,"residue":545},{"from_index":588,"to_index":782,"sum":70093,"residue":613},{"from_index":782,"to_index":976,"sum":75622,"residue":738},{"from_index":976,"to_index":6,"sum":72409,"residue":613}],"minimal_cycle":[545,34,545,613,738,613],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":545,"start_interval_clock_positions":[6,200],"circle_positions":772,"cycle_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":[7,201,395,589,783,977],"clock_positions":[7,201,395,589,783,977],"native_values":[13,566,13,373,206,373],"rotation_degrees":2.1649484536082473,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,566,13,373,206,373],"beta":{"interval_sums":[70197,72623,76180,69921,75987,72044],"interval_residues":[717,55,524,441,331,248],"display_cycle":[717,55,524,441,331,248],"intervals":[{"from_index":7,"to_index":201,"sum":70197,"residue":717},{"from_index":201,"to_index":395,"sum":72623,"residue":55},{"from_index":395,"to_index":589,"sum":76180,"residue":524},{"from_index":589,"to_index":783,"sum":69921,"residue":441},{"from_index":783,"to_index":977,"sum":75987,"residue":331},{"from_index":977,"to_index":7,"sum":72044,"residue":248}],"minimal_cycle":[717,55,524,441,331,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[7,201],"circle_positions":772,"cycle_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":[8,202,396,590,784,978],"clock_positions":[8,202,396,590,784,978],"native_values":[21,751,600,365,407,172],"rotation_degrees":2.4742268041237114,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,751,600,365,407,172],"beta":{"interval_sums":[70742,71885,75953,69762,75953,71885],"interval_residues":[490,89,297,282,297,89],"display_cycle":[490,89,297,282,297,89],"intervals":[{"from_index":8,"to_index":202,"sum":70742,"residue":490},{"from_index":202,"to_index":396,"sum":71885,"residue":89},{"from_index":396,"to_index":590,"sum":75953,"residue":297},{"from_index":590,"to_index":784,"sum":69762,"residue":282},{"from_index":784,"to_index":978,"sum":75953,"residue":297},{"from_index":978,"to_index":8,"sum":71885,"residue":89}],"minimal_cycle":[490,89,297,282,297,89],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[8,202],"circle_positions":772,"cycle_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":[9,203,397,591,785,979],"clock_positions":[9,203,397,591,785,979],"native_values":[34,545,613,738,613,545],"rotation_degrees":2.783505154639175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,545,613,738,613,545],"beta":{"interval_sums":[71459,71940,75705,69431,75512,71361],"interval_residues":[435,144,49,723,628,337],"display_cycle":[435,144,49,723,628,337],"intervals":[{"from_index":9,"to_index":203,"sum":71459,"residue":435},{"from_index":203,"to_index":397,"sum":71940,"residue":144},{"from_index":397,"to_index":591,"sum":75705,"residue":49},{"from_index":591,"to_index":785,"sum":69431,"residue":723},{"from_index":785,"to_index":979,"sum":75512,"residue":628},{"from_index":979,"to_index":9,"sum":71361,"residue":337}],"minimal_cycle":[435,144,49,723,628,337],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[9,203],"circle_positions":772,"cycle_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":[10,204,398,592,786,980],"clock_positions":[10,204,398,592,786,980],"native_values":[55,524,441,331,248,717],"rotation_degrees":3.0927835051546393,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,524,441,331,248,717],"beta":{"interval_sums":[71949,72029,76002,69713,75809,70678],"interval_residues":[153,233,346,233,153,426],"display_cycle":[153,233,346,233,153,426],"intervals":[{"from_index":10,"to_index":204,"sum":71949,"residue":153},{"from_index":204,"to_index":398,"sum":72029,"residue":233},{"from_index":398,"to_index":592,"sum":76002,"residue":346},{"from_index":592,"to_index":786,"sum":69713,"residue":233},{"from_index":786,"to_index":980,"sum":75809,"residue":153},{"from_index":980,"to_index":10,"sum":70678,"residue":426}],"minimal_cycle":[153,233,346,233,153,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":153,"start_interval_clock_positions":[10,204],"circle_positions":772,"cycle_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":[11,205,399,593,787,981],"clock_positions":[11,205,399,593,787,981],"native_values":[89,297,282,297,89,490],"rotation_degrees":3.402061855670103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,297,282,297,89,490],"beta":{"interval_sums":[72384,72173,76051,69664,76437,70243],"interval_residues":[588,377,395,184,9,763],"display_cycle":[588,377,395,184,9,763],"intervals":[{"from_index":11,"to_index":205,"sum":72384,"residue":588},{"from_index":205,"to_index":399,"sum":72173,"residue":377},{"from_index":399,"to_index":593,"sum":76051,"residue":395},{"from_index":593,"to_index":787,"sum":69664,"residue":184},{"from_index":787,"to_index":981,"sum":76437,"residue":9},{"from_index":981,"to_index":11,"sum":70243,"residue":763}],"minimal_cycle":[588,377,395,184,9,763],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":588,"start_interval_clock_positions":[11,205],"circle_positions":772,"cycle_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":[12,206,400,594,788,982],"clock_positions":[12,206,400,594,788,982],"native_values":[144,49,723,628,337,435],"rotation_degrees":3.711340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,49,723,628,337,435],"beta":{"interval_sums":[72537,72406,75625,69125,76590,69897],"interval_residues":[741,610,741,417,162,417],"display_cycle":[741,610,741,417,162,417],"intervals":[{"from_index":12,"to_index":206,"sum":72537,"residue":741},{"from_index":206,"to_index":400,"sum":72406,"residue":610},{"from_index":400,"to_index":594,"sum":75625,"residue":741},{"from_index":594,"to_index":788,"sum":69125,"residue":417},{"from_index":788,"to_index":982,"sum":76590,"residue":162},{"from_index":982,"to_index":12,"sum":69897,"residue":417}],"minimal_cycle":[741,610,741,417,162,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[12,206],"circle_positions":772,"cycle_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":[13,207,401,595,789,983],"clock_positions":[13,207,401,595,789,983],"native_values":[233,346,233,153,426,153],"rotation_degrees":4.020618556701031,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,346,233,153,426,153],"beta":{"interval_sums":[72353,72783,76020,69309,76599,69888],"interval_residues":[557,215,364,601,171,408],"display_cycle":[557,215,364,601,171,408],"intervals":[{"from_index":13,"to_index":207,"sum":72353,"residue":557},{"from_index":207,"to_index":401,"sum":72783,"residue":215},{"from_index":401,"to_index":595,"sum":76020,"residue":364},{"from_index":595,"to_index":789,"sum":69309,"residue":601},{"from_index":789,"to_index":983,"sum":76599,"residue":171},{"from_index":983,"to_index":13,"sum":69888,"residue":408}],"minimal_cycle":[557,215,364,601,171,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[13,207],"circle_positions":772,"cycle_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":[14,208,402,596,790,984],"clock_positions":[14,208,402,596,790,984],"native_values":[377,395,184,9,763,588],"rotation_degrees":4.329896907216495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,395,184,9,763,588],"beta":{"interval_sums":[72322,72621,75989,69726,75989,69533],"interval_residues":[526,53,333,246,333,53],"display_cycle":[526,53,333,246,333,53],"intervals":[{"from_index":14,"to_index":208,"sum":72322,"residue":526},{"from_index":208,"to_index":402,"sum":72621,"residue":53},{"from_index":402,"to_index":596,"sum":75989,"residue":333},{"from_index":596,"to_index":790,"sum":69726,"residue":246},{"from_index":790,"to_index":984,"sum":75989,"residue":333},{"from_index":984,"to_index":14,"sum":69533,"residue":53}],"minimal_cycle":[526,53,333,246,333,53],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":526,"start_interval_clock_positions":[14,208],"circle_positions":772,"cycle_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":[15,209,403,597,791,985],"clock_positions":[15,209,403,597,791,985],"native_values":[610,741,417,162,417,741],"rotation_degrees":4.639175257731959,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,741,417,162,417,741],"beta":{"interval_sums":[72107,72064,75581,70327,76160,69169],"interval_residues":[311,268,697,75,504,461],"display_cycle":[311,268,697,75,504,461],"intervals":[{"from_index":15,"to_index":209,"sum":72107,"residue":311},{"from_index":209,"to_index":403,"sum":72064,"residue":268},{"from_index":403,"to_index":597,"sum":75581,"residue":697},{"from_index":597,"to_index":791,"sum":70327,"residue":75},{"from_index":791,"to_index":985,"sum":76160,"residue":504},{"from_index":985,"to_index":15,"sum":69169,"residue":461}],"minimal_cycle":[311,268,697,75,504,461],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":311,"start_interval_clock_positions":[15,209],"circle_positions":772,"cycle_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":[16,210,404,598,792,986],"clock_positions":[16,210,404,598,792,986],"native_values":[215,364,601,171,408,557],"rotation_degrees":4.948453608247423,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,364,601,171,408,557],"beta":{"interval_sums":[72633,72117,75142,70573,76493,69222],"interval_residues":[65,321,258,321,65,514],"display_cycle":[65,321,258,321,65,514],"intervals":[{"from_index":16,"to_index":210,"sum":72633,"residue":65},{"from_index":210,"to_index":404,"sum":72117,"residue":321},{"from_index":404,"to_index":598,"sum":75142,"residue":258},{"from_index":598,"to_index":792,"sum":70573,"residue":321},{"from_index":792,"to_index":986,"sum":76493,"residue":65},{"from_index":986,"to_index":16,"sum":69222,"residue":514}],"minimal_cycle":[65,321,258,321,65,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[16,210],"circle_positions":772,"cycle_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":[17,211,405,599,793,987],"clock_positions":[17,211,405,599,793,987],"native_values":[53,333,246,333,53,526],"rotation_degrees":5.257731958762887,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,333,246,333,53,526],"beta":{"interval_sums":[72944,72385,75067,70648,76997,68911],"interval_residues":[376,589,183,396,569,203],"display_cycle":[376,589,183,396,569,203],"intervals":[{"from_index":17,"to_index":211,"sum":72944,"residue":376},{"from_index":211,"to_index":405,"sum":72385,"residue":589},{"from_index":405,"to_index":599,"sum":75067,"residue":183},{"from_index":599,"to_index":793,"sum":70648,"residue":396},{"from_index":793,"to_index":987,"sum":76997,"residue":569},{"from_index":987,"to_index":17,"sum":68911,"residue":203}],"minimal_cycle":[376,589,183,396,569,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[17,211],"circle_positions":772,"cycle_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":[18,212,406,600,794,988],"clock_positions":[18,212,406,600,794,988],"native_values":[268,697,75,504,461,311],"rotation_degrees":5.56701030927835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[268,697,75,504,461,311],"beta":{"interval_sums":[73009,71934,75325,70197,77062,68653],"interval_residues":[441,138,441,717,634,717],"display_cycle":[441,138,441,717,634,717],"intervals":[{"from_index":18,"to_index":212,"sum":73009,"residue":441},{"from_index":212,"to_index":406,"sum":71934,"residue":138},{"from_index":406,"to_index":600,"sum":75325,"residue":441},{"from_index":600,"to_index":794,"sum":70197,"residue":717},{"from_index":794,"to_index":988,"sum":77062,"residue":634},{"from_index":988,"to_index":18,"sum":68653,"residue":717}],"minimal_cycle":[441,138,441,717,634,717],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[18,212],"circle_positions":772,"cycle_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":[19,213,407,601,795,989],"clock_positions":[19,213,407,601,795,989],"native_values":[321,258,321,65,514,65],"rotation_degrees":5.876288659793815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,258,321,65,514,65],"beta":{"interval_sums":[73385,71751,75508,70593,76859,68856],"interval_residues":[45,727,624,341,431,148],"display_cycle":[45,727,624,341,431,148],"intervals":[{"from_index":19,"to_index":213,"sum":73385,"residue":45},{"from_index":213,"to_index":407,"sum":71751,"residue":727},{"from_index":407,"to_index":601,"sum":75508,"residue":624},{"from_index":601,"to_index":795,"sum":70593,"residue":341},{"from_index":795,"to_index":989,"sum":76859,"residue":431},{"from_index":989,"to_index":19,"sum":68856,"residue":148}],"minimal_cycle":[45,727,624,341,431,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":45,"start_interval_clock_positions":[19,213],"circle_positions":772,"cycle_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":[20,214,408,602,796,990],"clock_positions":[20,214,408,602,796,990],"native_values":[589,183,396,569,203,376],"rotation_degrees":6.185567010309279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,183,396,569,203,376],"beta":{"interval_sums":[73054,71889,75177,70538,76721,68801],"interval_residues":[486,93,293,286,293,93],"display_cycle":[486,93,293,286,293,93],"intervals":[{"from_index":20,"to_index":214,"sum":73054,"residue":486},{"from_index":214,"to_index":408,"sum":71889,"residue":93},{"from_index":408,"to_index":602,"sum":75177,"residue":293},{"from_index":602,"to_index":796,"sum":70538,"residue":286},{"from_index":796,"to_index":990,"sum":76721,"residue":293},{"from_index":990,"to_index":20,"sum":68801,"residue":93}],"minimal_cycle":[486,93,293,286,293,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[20,214],"circle_positions":772,"cycle_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":[21,215,409,603,797,991],"clock_positions":[21,215,409,603,797,991],"native_values":[138,441,717,634,717,441],"rotation_degrees":6.494845360824742,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[138,441,717,634,717,441],"beta":{"interval_sums":[73099,71844,75029,70107,76380,68949],"interval_residues":[531,48,145,627,724,241],"display_cycle":[531,48,145,627,724,241],"intervals":[{"from_index":21,"to_index":215,"sum":73099,"residue":531},{"from_index":215,"to_index":409,"sum":71844,"residue":48},{"from_index":409,"to_index":603,"sum":75029,"residue":145},{"from_index":603,"to_index":797,"sum":70107,"residue":627},{"from_index":797,"to_index":991,"sum":76380,"residue":724},{"from_index":991,"to_index":21,"sum":68949,"residue":241}],"minimal_cycle":[531,48,145,627,724,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":531,"start_interval_clock_positions":[21,215],"circle_positions":772,"cycle_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":[22,216,410,604,798,992],"clock_positions":[22,216,410,604,798,992],"native_values":[727,624,341,431,148,45],"rotation_degrees":6.804123711340206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,624,341,431,148,45],"beta":{"interval_sums":[72813,71937,75322,70393,76673,69042],"interval_residues":[245,141,438,141,245,334],"display_cycle":[245,141,438,141,245,334],"intervals":[{"from_index":22,"to_index":216,"sum":72813,"residue":245},{"from_index":216,"to_index":410,"sum":71937,"residue":141},{"from_index":410,"to_index":604,"sum":75322,"residue":438},{"from_index":604,"to_index":798,"sum":70393,"residue":141},{"from_index":798,"to_index":992,"sum":76673,"residue":245},{"from_index":992,"to_index":22,"sum":69042,"residue":334}],"minimal_cycle":[245,141,438,141,245,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[22,216],"circle_positions":772,"cycle_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":[23,217,411,605,799,993],"clock_positions":[23,217,411,605,799,993],"native_values":[93,293,286,293,93,486],"rotation_degrees":7.11340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,293,286,293,93,486],"beta":{"interval_sums":[73344,71985,75467,70248,76625,69283],"interval_residues":[4,189,583,768,197,575],"display_cycle":[4,189,583,768,197,575],"intervals":[{"from_index":23,"to_index":217,"sum":73344,"residue":4},{"from_index":217,"to_index":411,"sum":71985,"residue":189},{"from_index":411,"to_index":605,"sum":75467,"residue":583},{"from_index":605,"to_index":799,"sum":70248,"residue":768},{"from_index":799,"to_index":993,"sum":76625,"residue":197},{"from_index":993,"to_index":23,"sum":69283,"residue":575}],"minimal_cycle":[4,189,583,768,197,575],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[23,217],"circle_positions":772,"cycle_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":[24,218,412,606,800,994],"clock_positions":[24,218,412,606,800,994],"native_values":[48,145,627,724,241,531],"rotation_degrees":7.422680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[48,145,627,724,241,531],"beta":{"interval_sums":[73589,72126,75133,69617,76870,68845],"interval_residues":[249,330,249,137,442,137],"display_cycle":[249,330,249,137,442,137],"intervals":[{"from_index":24,"to_index":218,"sum":73589,"residue":249},{"from_index":218,"to_index":412,"sum":72126,"residue":330},{"from_index":412,"to_index":606,"sum":75133,"residue":249},{"from_index":606,"to_index":800,"sum":69617,"residue":137},{"from_index":800,"to_index":994,"sum":76870,"residue":442},{"from_index":994,"to_index":24,"sum":68845,"residue":137}],"minimal_cycle":[249,330,249,137,442,137],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[24,218],"circle_positions":772,"cycle_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":[25,219,413,607,801,995],"clock_positions":[25,219,413,607,801,995],"native_values":[141,438,141,245,334,245],"rotation_degrees":7.731958762886598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,438,141,245,334,245],"beta":{"interval_sums":[73593,72315,75716,69613,77067,68648],"interval_residues":[253,519,60,133,639,712],"display_cycle":[253,519,60,133,639,712],"intervals":[{"from_index":25,"to_index":219,"sum":73593,"residue":253},{"from_index":219,"to_index":413,"sum":72315,"residue":519},{"from_index":413,"to_index":607,"sum":75716,"residue":60},{"from_index":607,"to_index":801,"sum":69613,"residue":133},{"from_index":801,"to_index":995,"sum":77067,"residue":639},{"from_index":995,"to_index":25,"sum":68648,"residue":712}],"minimal_cycle":[253,519,60,133,639,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[25,219],"circle_positions":772,"cycle_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":[26,220,414,608,802,996],"clock_positions":[26,220,414,608,802,996],"native_values":[189,583,768,197,575,4],"rotation_degrees":8.041237113402062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[189,583,768,197,575,4],"beta":{"interval_sums":[73842,71873,75193,69750,76737,68785],"interval_residues":[502,77,309,270,309,77],"display_cycle":[502,77,309,270,309,77],"intervals":[{"from_index":26,"to_index":220,"sum":73842,"residue":502},{"from_index":220,"to_index":414,"sum":71873,"residue":77},{"from_index":414,"to_index":608,"sum":75193,"residue":309},{"from_index":608,"to_index":802,"sum":69750,"residue":270},{"from_index":802,"to_index":996,"sum":76737,"residue":309},{"from_index":996,"to_index":26,"sum":68785,"residue":77}],"minimal_cycle":[502,77,309,270,309,77],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[26,220],"circle_positions":772,"cycle_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":[27,221,415,609,803,997],"clock_positions":[27,221,415,609,803,997],"native_values":[330,249,137,442,137,249],"rotation_degrees":8.350515463917526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[330,249,137,442,137,249],"beta":{"interval_sums":[74095,72392,75253,69883,76604,68725],"interval_residues":[755,596,369,403,176,17],"display_cycle":[755,596,369,403,176,17],"intervals":[{"from_index":27,"to_index":221,"sum":74095,"residue":755},{"from_index":221,"to_index":415,"sum":72392,"residue":596},{"from_index":415,"to_index":609,"sum":75253,"residue":369},{"from_index":609,"to_index":803,"sum":69883,"residue":403},{"from_index":803,"to_index":997,"sum":76604,"residue":176},{"from_index":997,"to_index":27,"sum":68725,"residue":17}],"minimal_cycle":[755,596,369,403,176,17],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":755,"start_interval_clock_positions":[27,221],"circle_positions":772,"cycle_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":[28,222,416,610,804,998],"clock_positions":[28,222,416,610,804,998],"native_values":[519,60,133,639,712,253],"rotation_degrees":8.65979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,60,133,639,712,253],"beta":{"interval_sums":[73825,72469,75562,69381,76141,68802],"interval_residues":[485,673,678,673,485,94],"display_cycle":[485,673,678,673,485,94],"intervals":[{"from_index":28,"to_index":222,"sum":73825,"residue":485},{"from_index":222,"to_index":416,"sum":72469,"residue":673},{"from_index":416,"to_index":610,"sum":75562,"residue":678},{"from_index":610,"to_index":804,"sum":69381,"residue":673},{"from_index":804,"to_index":998,"sum":76141,"residue":485},{"from_index":998,"to_index":28,"sum":68802,"residue":94}],"minimal_cycle":[485,673,678,673,485,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":485,"start_interval_clock_positions":[28,222],"circle_positions":772,"cycle_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":[29,223,417,611,805,999],"clock_positions":[29,223,417,611,805,999],"native_values":[77,309,270,309,77,502],"rotation_degrees":8.969072164948454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,309,270,309,77,502],"beta":{"interval_sums":[73808,72293,75931,69784,76317,68819],"interval_residues":[468,497,275,304,661,111],"display_cycle":[468,497,275,304,661,111],"intervals":[{"from_index":29,"to_index":223,"sum":73808,"residue":468},{"from_index":223,"to_index":417,"sum":72293,"residue":497},{"from_index":417,"to_index":611,"sum":75931,"residue":275},{"from_index":611,"to_index":805,"sum":69784,"residue":304},{"from_index":805,"to_index":999,"sum":76317,"residue":661},{"from_index":999,"to_index":29,"sum":68819,"residue":111}],"minimal_cycle":[468,497,275,304,661,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[29,223],"circle_positions":772,"cycle_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":[30,224,418,612,806,1000],"clock_positions":[30,224,418,612,806,1000],"native_values":[596,369,403,176,17,755],"rotation_degrees":9.278350515463918,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,369,403,176,17,755],"beta":{"interval_sums":[73521,72194,75837,69685,76802,68141],"interval_residues":[181,398,181,205,374,205],"display_cycle":[181,398,181,205,374,205],"intervals":[{"from_index":30,"to_index":224,"sum":73521,"residue":181},{"from_index":224,"to_index":418,"sum":72194,"residue":398},{"from_index":418,"to_index":612,"sum":75837,"residue":181},{"from_index":612,"to_index":806,"sum":69685,"residue":205},{"from_index":806,"to_index":1000,"sum":76802,"residue":374},{"from_index":1000,"to_index":30,"sum":68141,"residue":205}],"minimal_cycle":[181,398,181,205,374,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":181,"start_interval_clock_positions":[30,224],"circle_positions":772,"cycle_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":[31,225,419,613,807,1001],"clock_positions":[31,225,419,613,807,1001],"native_values":[673,678,673,485,94,485],"rotation_degrees":9.587628865979381,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,678,673,485,94,485],"beta":{"interval_sums":[73217,71919,75340,69217,77463,68252],"interval_residues":[649,123,456,509,263,316],"display_cycle":[649,123,456,509,263,316],"intervals":[{"from_index":31,"to_index":225,"sum":73217,"residue":649},{"from_index":225,"to_index":419,"sum":71919,"residue":123},{"from_index":419,"to_index":613,"sum":75340,"residue":456},{"from_index":613,"to_index":807,"sum":69217,"residue":509},{"from_index":807,"to_index":1001,"sum":77463,"residue":263},{"from_index":1001,"to_index":31,"sum":68252,"residue":316}],"minimal_cycle":[649,123,456,509,263,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":649,"start_interval_clock_positions":[31,225],"circle_positions":772,"cycle_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":[32,226,420,614,808,1002],"clock_positions":[32,226,420,614,808,1002],"native_values":[497,275,304,661,111,468],"rotation_degrees":9.896907216494846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,275,304,661,111,468],"beta":{"interval_sums":[73398,72317,75521,68650,77837,68457],"interval_residues":[58,521,637,714,637,521],"display_cycle":[58,521,637,714,637,521],"intervals":[{"from_index":32,"to_index":226,"sum":73398,"residue":58},{"from_index":226,"to_index":420,"sum":72317,"residue":521},{"from_index":420,"to_index":614,"sum":75521,"residue":637},{"from_index":614,"to_index":808,"sum":68650,"residue":714},{"from_index":808,"to_index":1002,"sum":77837,"residue":637},{"from_index":1002,"to_index":32,"sum":68457,"residue":521}],"minimal_cycle":[58,521,637,714,637,521],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[32,226],"circle_positions":772,"cycle_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":[33,227,421,615,809,1003],"clock_positions":[33,227,421,615,809,1003],"native_values":[398,181,205,374,205,181],"rotation_degrees":10.206185567010309,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[398,181,205,374,205,181],"beta":{"interval_sums":[73275,72440,75977,68387,78100,68773],"interval_residues":[707,644,321,451,128,65],"display_cycle":[707,644,321,451,128,65],"intervals":[{"from_index":33,"to_index":227,"sum":73275,"residue":707},{"from_index":227,"to_index":421,"sum":72440,"residue":644},{"from_index":421,"to_index":615,"sum":75977,"residue":321},{"from_index":615,"to_index":809,"sum":68387,"residue":451},{"from_index":809,"to_index":1003,"sum":78100,"residue":128},{"from_index":1003,"to_index":33,"sum":68773,"residue":65}],"minimal_cycle":[707,644,321,451,128,65],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":707,"start_interval_clock_positions":[33,227],"circle_positions":772,"cycle_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":[34,228,422,616,810,1004],"clock_positions":[34,228,422,616,810,1004],"native_values":[123,456,509,263,316,649],"rotation_degrees":10.515463917525773,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,456,509,263,316,649],"beta":{"interval_sums":[73333,72189,75842,68329,77965,68522],"interval_residues":[765,393,186,393,765,586],"display_cycle":[765,393,186,393,765,586],"intervals":[{"from_index":34,"to_index":228,"sum":73333,"residue":765},{"from_index":228,"to_index":422,"sum":72189,"residue":393},{"from_index":422,"to_index":616,"sum":75842,"residue":186},{"from_index":616,"to_index":810,"sum":68329,"residue":393},{"from_index":810,"to_index":1004,"sum":77965,"residue":765},{"from_index":1004,"to_index":34,"sum":68522,"residue":586}],"minimal_cycle":[765,393,186,393,765,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":765,"start_interval_clock_positions":[34,228],"circle_positions":772,"cycle_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":[35,229,423,617,811,1005],"clock_positions":[35,229,423,617,811,1005],"native_values":[521,637,714,637,521,58],"rotation_degrees":10.824742268041238,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,637,714,637,521,58],"beta":{"interval_sums":[73268,72061,75391,68008,78093,68587],"interval_residues":[700,265,507,72,121,651],"display_cycle":[700,265,507,72,121,651],"intervals":[{"from_index":35,"to_index":229,"sum":73268,"residue":700},{"from_index":229,"to_index":423,"sum":72061,"residue":265},{"from_index":423,"to_index":617,"sum":75391,"residue":507},{"from_index":617,"to_index":811,"sum":68008,"residue":72},{"from_index":811,"to_index":1005,"sum":78093,"residue":121},{"from_index":1005,"to_index":35,"sum":68587,"residue":651}],"minimal_cycle":[700,265,507,72,121,651],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[35,229],"circle_positions":772,"cycle_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":[36,230,424,618,812,1006],"clock_positions":[36,230,424,618,812,1006],"native_values":[644,321,451,128,65,707],"rotation_degrees":11.1340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[644,321,451,128,65,707],"beta":{"interval_sums":[73261,72454,75577,68401,78086,68401],"interval_residues":[693,658,693,465,114,465],"display_cycle":[693,658,693,465,114,465],"intervals":[{"from_index":36,"to_index":230,"sum":73261,"residue":693},{"from_index":230,"to_index":424,"sum":72454,"residue":658},{"from_index":424,"to_index":618,"sum":75577,"residue":693},{"from_index":618,"to_index":812,"sum":68401,"residue":465},{"from_index":812,"to_index":1006,"sum":78086,"residue":114},{"from_index":1006,"to_index":36,"sum":68401,"residue":465}],"minimal_cycle":[693,658,693,465,114,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":693,"start_interval_clock_positions":[36,230],"circle_positions":772,"cycle_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":[37,231,425,619,813,1007],"clock_positions":[37,231,425,619,813,1007],"native_values":[393,186,393,765,586,765],"rotation_degrees":11.443298969072165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,186,393,765,586,765],"beta":{"interval_sums":[73189,72719,75312,67701,78207,68280],"interval_residues":[621,151,428,537,235,344],"display_cycle":[621,151,428,537,235,344],"intervals":[{"from_index":37,"to_index":231,"sum":73189,"residue":621},{"from_index":231,"to_index":425,"sum":72719,"residue":151},{"from_index":425,"to_index":619,"sum":75312,"residue":428},{"from_index":619,"to_index":813,"sum":67701,"residue":537},{"from_index":813,"to_index":1007,"sum":78207,"residue":235},{"from_index":1007,"to_index":37,"sum":68280,"residue":344}],"minimal_cycle":[621,151,428,537,235,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":621,"start_interval_clock_positions":[37,231],"circle_positions":772,"cycle_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":[38,232,426,620,814,1008],"clock_positions":[38,232,426,620,814,1008],"native_values":[265,507,72,121,651,700],"rotation_degrees":11.75257731958763,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,507,72,121,651,700],"beta":{"interval_sums":[73110,72605,76005,68166,78321,67973],"interval_residues":[542,37,349,230,349,37],"display_cycle":[542,37,349,230,349,37],"intervals":[{"from_index":38,"to_index":232,"sum":73110,"residue":542},{"from_index":232,"to_index":426,"sum":72605,"residue":37},{"from_index":426,"to_index":620,"sum":76005,"residue":349},{"from_index":620,"to_index":814,"sum":68166,"residue":230},{"from_index":814,"to_index":1008,"sum":78321,"residue":349},{"from_index":1008,"to_index":38,"sum":67973,"residue":37}],"minimal_cycle":[542,37,349,230,349,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[38,232],"circle_positions":772,"cycle_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":[39,233,427,621,815,1009],"clock_positions":[39,233,427,621,815,1009],"native_values":[658,693,465,114,465,693],"rotation_degrees":12.061855670103093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[658,693,465,114,465,693],"beta":{"interval_sums":[72959,71984,75661,68703,78556,67545],"interval_residues":[391,188,5,767,584,381],"display_cycle":[391,188,5,767,584,381],"intervals":[{"from_index":39,"to_index":233,"sum":72959,"residue":391},{"from_index":233,"to_index":427,"sum":71984,"residue":188},{"from_index":427,"to_index":621,"sum":75661,"residue":5},{"from_index":621,"to_index":815,"sum":68703,"residue":767},{"from_index":815,"to_index":1009,"sum":78556,"residue":584},{"from_index":1009,"to_index":39,"sum":67545,"residue":381}],"minimal_cycle":[391,188,5,767,584,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":391,"start_interval_clock_positions":[39,233],"circle_positions":772,"cycle_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":[40,234,428,622,816,1010],"clock_positions":[40,234,428,622,816,1010],"native_values":[151,428,537,235,344,621],"rotation_degrees":12.371134020618557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,428,537,235,344,621],"beta":{"interval_sums":[73501,72021,75238,68933,78905,67582],"interval_residues":[161,225,354,225,161,418],"display_cycle":[161,225,354,225,161,418],"intervals":[{"from_index":40,"to_index":234,"sum":73501,"residue":161},{"from_index":234,"to_index":428,"sum":72021,"residue":225},{"from_index":428,"to_index":622,"sum":75238,"residue":354},{"from_index":622,"to_index":816,"sum":68933,"residue":225},{"from_index":816,"to_index":1010,"sum":78905,"residue":161},{"from_index":1010,"to_index":40,"sum":67582,"residue":418}],"minimal_cycle":[161,225,354,225,161,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":161,"start_interval_clock_positions":[40,234],"circle_positions":772,"cycle_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":[41,235,429,623,817,1011],"clock_positions":[41,235,429,623,817,1011],"native_values":[37,349,230,349,37,542],"rotation_degrees":12.68041237113402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,349,230,349,37,542],"beta":{"interval_sums":[73892,72209,75243,68928,79489,67191],"interval_residues":[552,413,359,220,745,27],"display_cycle":[552,413,359,220,745,27],"intervals":[{"from_index":41,"to_index":235,"sum":73892,"residue":552},{"from_index":235,"to_index":429,"sum":72209,"residue":413},{"from_index":429,"to_index":623,"sum":75243,"residue":359},{"from_index":623,"to_index":817,"sum":68928,"residue":220},{"from_index":817,"to_index":1011,"sum":79489,"residue":745},{"from_index":1011,"to_index":41,"sum":67191,"residue":27}],"minimal_cycle":[552,413,359,220,745,27],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[41,235],"circle_positions":772,"cycle_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":[42,236,430,624,818,1012],"clock_positions":[42,236,430,624,818,1012],"native_values":[188,5,767,584,381,391],"rotation_degrees":12.989690721649485,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[188,5,767,584,381,391],"beta":{"interval_sums":[74053,72434,74825,68381,79650,66837],"interval_residues":[713,638,713,445,134,445],"display_cycle":[713,638,713,445,134,445],"intervals":[{"from_index":42,"to_index":236,"sum":74053,"residue":713},{"from_index":236,"to_index":430,"sum":72434,"residue":638},{"from_index":430,"to_index":624,"sum":74825,"residue":713},{"from_index":624,"to_index":818,"sum":68381,"residue":445},{"from_index":818,"to_index":1012,"sum":79650,"residue":134},{"from_index":1012,"to_index":42,"sum":66837,"residue":445}],"minimal_cycle":[713,638,713,445,134,445],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":713,"start_interval_clock_positions":[42,236],"circle_positions":772,"cycle_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":[43,237,431,625,819,1013],"clock_positions":[43,237,431,625,819,1013],"native_values":[225,354,225,161,418,161],"rotation_degrees":13.29896907216495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,354,225,161,418,161],"beta":{"interval_sums":[73833,72847,75184,68601,79623,66864],"interval_residues":[493,279,300,665,107,472],"display_cycle":[493,279,300,665,107,472],"intervals":[{"from_index":43,"to_index":237,"sum":73833,"residue":493},{"from_index":237,"to_index":431,"sum":72847,"residue":279},{"from_index":431,"to_index":625,"sum":75184,"residue":300},{"from_index":625,"to_index":819,"sum":68601,"residue":665},{"from_index":819,"to_index":1013,"sum":79623,"residue":107},{"from_index":1013,"to_index":43,"sum":66864,"residue":472}],"minimal_cycle":[493,279,300,665,107,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":493,"start_interval_clock_positions":[43,237],"circle_positions":772,"cycle_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":[44,238,432,626,820,1014],"clock_positions":[44,238,432,626,820,1014],"native_values":[413,359,220,745,27,552],"rotation_degrees":13.608247422680412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,359,220,745,27,552],"beta":{"interval_sums":[73774,72713,75125,68274,79757,66537],"interval_residues":[434,145,241,338,241,145],"display_cycle":[434,145,241,338,241,145],"intervals":[{"from_index":44,"to_index":238,"sum":73774,"residue":434},{"from_index":238,"to_index":432,"sum":72713,"residue":145},{"from_index":432,"to_index":626,"sum":75125,"residue":241},{"from_index":626,"to_index":820,"sum":68274,"residue":338},{"from_index":820,"to_index":1014,"sum":79757,"residue":241},{"from_index":1014,"to_index":44,"sum":66537,"residue":145}],"minimal_cycle":[434,145,241,338,241,145],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[44,238],"circle_positions":772,"cycle_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":[45,239,433,627,821,1015],"clock_positions":[45,239,433,627,821,1015],"native_values":[638,713,445,134,445,713],"rotation_degrees":13.917525773195877,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,713,445,134,445,713],"beta":{"interval_sums":[73495,72220,75425,68167,79864,66237],"interval_residues":[155,424,541,231,348,617],"display_cycle":[155,424,541,231,348,617],"intervals":[{"from_index":45,"to_index":239,"sum":73495,"residue":155},{"from_index":239,"to_index":433,"sum":72220,"residue":424},{"from_index":433,"to_index":627,"sum":75425,"residue":541},{"from_index":627,"to_index":821,"sum":68167,"residue":231},{"from_index":821,"to_index":1015,"sum":79864,"residue":348},{"from_index":1015,"to_index":45,"sum":66237,"residue":617}],"minimal_cycle":[155,424,541,231,348,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":155,"start_interval_clock_positions":[45,239],"circle_positions":772,"cycle_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":[46,240,434,628,822,1016],"clock_positions":[46,240,434,628,822,1016],"native_values":[279,300,665,107,472,493],"rotation_degrees":14.22680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,300,665,107,472,493],"beta":{"interval_sums":[73929,72365,74894,68505,80105,66382],"interval_residues":[589,569,10,569,589,762],"display_cycle":[589,569,10,569,589,762],"intervals":[{"from_index":46,"to_index":240,"sum":73929,"residue":589},{"from_index":240,"to_index":434,"sum":72365,"residue":569},{"from_index":434,"to_index":628,"sum":74894,"residue":10},{"from_index":628,"to_index":822,"sum":68505,"residue":569},{"from_index":822,"to_index":1016,"sum":80105,"residue":589},{"from_index":1016,"to_index":46,"sum":66382,"residue":762}],"minimal_cycle":[589,569,10,569,589,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[46,240],"circle_positions":772,"cycle_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":[47,241,435,629,823,1017],"clock_positions":[47,241,435,629,823,1017],"native_values":[145,241,338,241,145,434],"rotation_degrees":14.536082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,241,338,241,145,434],"beta":{"interval_sums":[74084,72789,74663,68736,80453,66227],"interval_residues":[744,221,551,28,165,607],"display_cycle":[744,221,551,28,165,607],"intervals":[{"from_index":47,"to_index":241,"sum":74084,"residue":744},{"from_index":241,"to_index":435,"sum":72789,"residue":221},{"from_index":435,"to_index":629,"sum":74663,"residue":551},{"from_index":629,"to_index":823,"sum":68736,"residue":28},{"from_index":823,"to_index":1017,"sum":80453,"residue":165},{"from_index":1017,"to_index":47,"sum":66227,"residue":607}],"minimal_cycle":[744,221,551,28,165,607],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":744,"start_interval_clock_positions":[47,241],"circle_positions":772,"cycle_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":[48,242,436,630,824,1018],"clock_positions":[48,242,436,630,824,1018],"native_values":[424,541,231,348,617,155],"rotation_degrees":14.845360824742269,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,541,231,348,617,155],"beta":{"interval_sums":[73901,72586,74673,68533,80270,66217],"interval_residues":[561,18,561,597,754,597],"display_cycle":[561,18,561,597,754,597],"intervals":[{"from_index":48,"to_index":242,"sum":73901,"residue":561},{"from_index":242,"to_index":436,"sum":72586,"residue":18},{"from_index":436,"to_index":630,"sum":74673,"residue":561},{"from_index":630,"to_index":824,"sum":68533,"residue":597},{"from_index":824,"to_index":1018,"sum":80270,"residue":754},{"from_index":1018,"to_index":48,"sum":66217,"residue":597}],"minimal_cycle":[561,18,561,597,754,597],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[48,242],"circle_positions":772,"cycle_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":[49,243,437,631,825,1019],"clock_positions":[49,243,437,631,825,1019],"native_values":[569,10,569,589,762,589],"rotation_degrees":15.154639175257731,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[569,10,569,589,762,589],"beta":{"interval_sums":[73873,72807,74452,68561,79663,66052],"interval_residues":[533,239,340,625,147,432],"display_cycle":[533,239,340,625,147,432],"intervals":[{"from_index":49,"to_index":243,"sum":73873,"residue":533},{"from_index":243,"to_index":437,"sum":72807,"residue":239},{"from_index":437,"to_index":631,"sum":74452,"residue":340},{"from_index":631,"to_index":825,"sum":68561,"residue":625},{"from_index":825,"to_index":1019,"sum":79663,"residue":147},{"from_index":1019,"to_index":49,"sum":66052,"residue":432}],"minimal_cycle":[533,239,340,625,147,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":533,"start_interval_clock_positions":[49,243],"circle_positions":772,"cycle_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":[50,244,438,632,826,1020],"clock_positions":[50,244,438,632,826,1020],"native_values":[221,551,28,165,607,744],"rotation_degrees":15.463917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,551,28,165,607,744],"beta":{"interval_sums":[73662,72825,75013,69158,79645,65877],"interval_residues":[322,257,129,450,129,257],"display_cycle":[322,257,129,450,129,257],"intervals":[{"from_index":50,"to_index":244,"sum":73662,"residue":322},{"from_index":244,"to_index":438,"sum":72825,"residue":257},{"from_index":438,"to_index":632,"sum":75013,"residue":129},{"from_index":632,"to_index":826,"sum":69158,"residue":450},{"from_index":826,"to_index":1020,"sum":79645,"residue":129},{"from_index":1020,"to_index":50,"sum":65877,"residue":257}],"minimal_cycle":[322,257,129,450,129,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[50,244],"circle_positions":772,"cycle_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":[51,245,439,633,827,1021],"clock_positions":[51,245,439,633,827,1021],"native_values":[18,561,597,754,597,561],"rotation_degrees":15.77319587628866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,561,597,754,597,561],"beta":{"interval_sums":[74195,72292,74581,69011,79792,65537],"interval_residues":[83,496,469,303,276,689],"display_cycle":[83,496,469,303,276,689],"intervals":[{"from_index":51,"to_index":245,"sum":74195,"residue":83},{"from_index":245,"to_index":439,"sum":72292,"residue":496},{"from_index":439,"to_index":633,"sum":74581,"residue":469},{"from_index":633,"to_index":827,"sum":69011,"residue":303},{"from_index":827,"to_index":1021,"sum":79792,"residue":276},{"from_index":1021,"to_index":51,"sum":65537,"residue":689}],"minimal_cycle":[83,496,469,303,276,689],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":83,"start_interval_clock_positions":[51,245],"circle_positions":772,"cycle_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":[52,246,440,634,828,1022],"clock_positions":[52,246,440,634,828,1022],"native_values":[239,340,625,147,432,533],"rotation_degrees":16.082474226804123,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,340,625,147,432,533],"beta":{"interval_sums":[74517,72549,74710,69461,79921,65022],"interval_residues":[405,753,598,753,405,174],"display_cycle":[405,753,598,753,405,174],"intervals":[{"from_index":52,"to_index":246,"sum":74517,"residue":405},{"from_index":246,"to_index":440,"sum":72549,"residue":753},{"from_index":440,"to_index":634,"sum":74710,"residue":598},{"from_index":634,"to_index":828,"sum":69461,"residue":753},{"from_index":828,"to_index":1022,"sum":79921,"residue":405},{"from_index":1022,"to_index":52,"sum":65022,"residue":174}],"minimal_cycle":[405,753,598,753,405,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[52,246],"circle_positions":772,"cycle_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":[53,247,441,635,829,1023],"clock_positions":[53,247,441,635,829,1023],"native_values":[257,129,450,129,257,322],"rotation_degrees":16.391752577319586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,129,450,129,257,322],"beta":{"interval_sums":[74600,73045,74407,69764,80197,64939],"interval_residues":[488,477,295,284,681,91],"display_cycle":[488,477,295,284,681,91],"intervals":[{"from_index":53,"to_index":247,"sum":74600,"residue":488},{"from_index":247,"to_index":441,"sum":73045,"residue":477},{"from_index":441,"to_index":635,"sum":74407,"residue":295},{"from_index":635,"to_index":829,"sum":69764,"residue":284},{"from_index":829,"to_index":1023,"sum":80197,"residue":681},{"from_index":1023,"to_index":53,"sum":64939,"residue":91}],"minimal_cycle":[488,477,295,284,681,91],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[53,247],"circle_positions":772,"cycle_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":[54,248,442,636,830,1024],"clock_positions":[54,248,442,636,830,1024],"native_values":[496,469,303,276,689,83],"rotation_degrees":16.701030927835053,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,469,303,276,689,83],"beta":{"interval_sums":[74233,73026,74233,69745,79830,65113],"interval_residues":[121,458,121,265,314,265],"display_cycle":[121,458,121,265,314,265],"intervals":[{"from_index":54,"to_index":248,"sum":74233,"residue":121},{"from_index":248,"to_index":442,"sum":73026,"residue":458},{"from_index":442,"to_index":636,"sum":74233,"residue":121},{"from_index":636,"to_index":830,"sum":69745,"residue":265},{"from_index":830,"to_index":1024,"sum":79830,"residue":314},{"from_index":1024,"to_index":54,"sum":65113,"residue":265}],"minimal_cycle":[121,458,121,265,314,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":121,"start_interval_clock_positions":[54,248],"circle_positions":772,"cycle_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":[55,249,443,637,831,1025],"clock_positions":[55,249,443,637,831,1025],"native_values":[753,598,753,405,174,405],"rotation_degrees":17.010309278350515,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,598,753,405,174,405],"beta":{"interval_sums":[73949,72731,73756,70029,79739,65204],"interval_residues":[609,163,416,549,223,356],"display_cycle":[609,163,416,549,223,356],"intervals":[{"from_index":55,"to_index":249,"sum":73949,"residue":609},{"from_index":249,"to_index":443,"sum":72731,"residue":163},{"from_index":443,"to_index":637,"sum":73756,"residue":416},{"from_index":637,"to_index":831,"sum":70029,"residue":549},{"from_index":831,"to_index":1025,"sum":79739,"residue":223},{"from_index":1025,"to_index":55,"sum":65204,"residue":356}],"minimal_cycle":[609,163,416,549,223,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":609,"start_interval_clock_positions":[55,249],"circle_positions":772,"cycle_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":[56,250,444,638,832,1026],"clock_positions":[56,250,444,638,832,1026],"native_values":[477,295,284,681,91,488],"rotation_degrees":17.31958762886598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,295,284,681,91,488],"beta":{"interval_sums":[74070,73189,73877,69522,80053,65469],"interval_residues":[730,621,537,42,537,621],"display_cycle":[730,621,537,42,537,621],"intervals":[{"from_index":56,"to_index":250,"sum":74070,"residue":730},{"from_index":250,"to_index":444,"sum":73189,"residue":621},{"from_index":444,"to_index":638,"sum":73877,"residue":537},{"from_index":638,"to_index":832,"sum":69522,"residue":42},{"from_index":832,"to_index":1026,"sum":80053,"residue":537},{"from_index":1026,"to_index":56,"sum":65469,"residue":621}],"minimal_cycle":[730,621,537,42,537,621],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":730,"start_interval_clock_positions":[56,250],"circle_positions":772,"cycle_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":[57,251,445,639,833,1027],"clock_positions":[57,251,445,639,833,1027],"native_values":[458,121,265,314,265,121],"rotation_degrees":17.628865979381445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[458,121,265,314,265,121],"beta":{"interval_sums":[73907,73352,74293,69299,80276,65825],"interval_residues":[567,12,181,591,760,205],"display_cycle":[567,12,181,591,760,205],"intervals":[{"from_index":57,"to_index":251,"sum":73907,"residue":567},{"from_index":251,"to_index":445,"sum":73352,"residue":12},{"from_index":445,"to_index":639,"sum":74293,"residue":181},{"from_index":639,"to_index":833,"sum":69299,"residue":591},{"from_index":833,"to_index":1027,"sum":80276,"residue":760},{"from_index":1027,"to_index":57,"sum":65825,"residue":205}],"minimal_cycle":[567,12,181,591,760,205],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":567,"start_interval_clock_positions":[57,251],"circle_positions":772,"cycle_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":[58,252,446,640,834,1028],"clock_positions":[58,252,446,640,834,1028],"native_values":[163,416,549,223,356,609],"rotation_degrees":17.938144329896907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,416,549,223,356,609],"beta":{"interval_sums":[73865,73201,74058,69341,80041,65674],"interval_residues":[525,633,718,633,525,54],"display_cycle":[525,633,718,633,525,54],"intervals":[{"from_index":58,"to_index":252,"sum":73865,"residue":525},{"from_index":252,"to_index":446,"sum":73201,"residue":633},{"from_index":446,"to_index":640,"sum":74058,"residue":718},{"from_index":640,"to_index":834,"sum":69341,"residue":633},{"from_index":834,"to_index":1028,"sum":80041,"residue":525},{"from_index":1028,"to_index":58,"sum":65674,"residue":54}],"minimal_cycle":[525,633,718,633,525,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[58,252],"circle_positions":772,"cycle_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":[59,253,447,641,835,1029],"clock_positions":[59,253,447,641,835,1029],"native_values":[621,537,42,537,621,730],"rotation_degrees":18.24742268041237,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,537,42,537,621,730],"beta":{"interval_sums":[73660,73213,74239,69160,80029,65107],"interval_residues":[320,645,127,452,513,259],"display_cycle":[320,645,127,452,513,259],"intervals":[{"from_index":59,"to_index":253,"sum":73660,"residue":320},{"from_index":253,"to_index":447,"sum":73213,"residue":645},{"from_index":447,"to_index":641,"sum":74239,"residue":127},{"from_index":641,"to_index":835,"sum":69160,"residue":452},{"from_index":835,"to_index":1029,"sum":80029,"residue":513},{"from_index":1029,"to_index":59,"sum":65107,"residue":259}],"minimal_cycle":[320,645,127,452,513,259],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":320,"start_interval_clock_positions":[59,253],"circle_positions":772,"cycle_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":[60,254,448,642,836,1030],"clock_positions":[60,254,448,642,836,1030],"native_values":[12,181,591,760,205,567],"rotation_degrees":18.556701030927837,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[12,181,591,760,205,567],"beta":{"interval_sums":[74185,73074,74185,69021,80554,65161],"interval_residues":[73,506,73,313,266,313],"display_cycle":[73,506,73,313,266,313],"intervals":[{"from_index":60,"to_index":254,"sum":74185,"residue":73},{"from_index":254,"to_index":448,"sum":73074,"residue":506},{"from_index":448,"to_index":642,"sum":74185,"residue":73},{"from_index":642,"to_index":836,"sum":69021,"residue":313},{"from_index":836,"to_index":1030,"sum":80554,"residue":266},{"from_index":1030,"to_index":60,"sum":65161,"residue":313}],"minimal_cycle":[73,506,73,313,266,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[60,254],"circle_positions":772,"cycle_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":[61,255,449,643,837,1031],"clock_positions":[61,255,449,643,837,1031],"native_values":[633,718,633,525,54,525],"rotation_degrees":18.8659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,718,633,525,54,525],"beta":{"interval_sums":[73733,72947,74312,68701,81067,64648],"interval_residues":[393,379,200,765,7,572],"display_cycle":[393,379,200,765,7,572],"intervals":[{"from_index":61,"to_index":255,"sum":73733,"residue":393},{"from_index":255,"to_index":449,"sum":72947,"residue":379},{"from_index":449,"to_index":643,"sum":74312,"residue":200},{"from_index":643,"to_index":837,"sum":68701,"residue":765},{"from_index":837,"to_index":1031,"sum":81067,"residue":7},{"from_index":1031,"to_index":61,"sum":64648,"residue":572}],"minimal_cycle":[393,379,200,765,7,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[61,255],"circle_positions":772,"cycle_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":[62,256,450,644,838,1032],"clock_positions":[62,256,450,644,838,1032],"native_values":[645,127,452,513,259,320],"rotation_degrees":19.175257731958762,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,127,452,513,259,320],"beta":{"interval_sums":[73806,73453,74385,68242,81333,64961],"interval_residues":[466,113,273,306,273,113],"display_cycle":[466,113,273,306,273,113],"intervals":[{"from_index":62,"to_index":256,"sum":73806,"residue":466},{"from_index":256,"to_index":450,"sum":73453,"residue":113},{"from_index":450,"to_index":644,"sum":74385,"residue":273},{"from_index":644,"to_index":838,"sum":68242,"residue":306},{"from_index":838,"to_index":1032,"sum":81333,"residue":273},{"from_index":1032,"to_index":62,"sum":64961,"residue":113}],"minimal_cycle":[466,113,273,306,273,113],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[62,256],"circle_positions":772,"cycle_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":[63,257,451,645,839,1033],"clock_positions":[63,257,451,645,839,1033],"native_values":[506,73,313,266,313,73],"rotation_degrees":19.484536082474225,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[506,73,313,266,313,73],"beta":{"interval_sums":[73427,73832,74585,68235,81340,65533],"interval_residues":[87,492,473,299,280,685],"display_cycle":[87,492,473,299,280,685],"intervals":[{"from_index":63,"to_index":257,"sum":73427,"residue":87},{"from_index":257,"to_index":451,"sum":73832,"residue":492},{"from_index":451,"to_index":645,"sum":74585,"residue":473},{"from_index":645,"to_index":839,"sum":68235,"residue":299},{"from_index":839,"to_index":1033,"sum":81340,"residue":280},{"from_index":1033,"to_index":63,"sum":65533,"residue":685}],"minimal_cycle":[87,492,473,299,280,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":87,"start_interval_clock_positions":[63,257],"circle_positions":772,"cycle_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":[64,258,452,646,840,1034],"clock_positions":[64,258,452,646,840,1034],"native_values":[379,200,765,7,572,393],"rotation_degrees":19.79381443298969,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,200,765,7,572,393],"beta":{"interval_sums":[73121,73945,74086,68541,80841,65646],"interval_residues":[553,605,746,605,553,26],"display_cycle":[553,605,746,605,553,26],"intervals":[{"from_index":64,"to_index":258,"sum":73121,"residue":553},{"from_index":258,"to_index":452,"sum":73945,"residue":605},{"from_index":452,"to_index":646,"sum":74086,"residue":746},{"from_index":646,"to_index":840,"sum":68541,"residue":605},{"from_index":840,"to_index":1034,"sum":80841,"residue":553},{"from_index":1034,"to_index":64,"sum":65646,"residue":26}],"minimal_cycle":[553,605,746,605,553,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":553,"start_interval_clock_positions":[64,258],"circle_positions":772,"cycle_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":[65,259,453,647,841,1035],"clock_positions":[65,259,453,647,841,1035],"native_values":[113,273,306,273,113,466],"rotation_degrees":20.103092783505154,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,273,306,273,113,466],"beta":{"interval_sums":[73208,74437,73787,68840,81121,65559],"interval_residues":[640,325,447,132,61,711],"display_cycle":[640,325,447,132,61,711],"intervals":[{"from_index":65,"to_index":259,"sum":73208,"residue":640},{"from_index":259,"to_index":453,"sum":74437,"residue":325},{"from_index":453,"to_index":647,"sum":73787,"residue":447},{"from_index":647,"to_index":841,"sum":68840,"residue":132},{"from_index":841,"to_index":1035,"sum":81121,"residue":61},{"from_index":1035,"to_index":65,"sum":65559,"residue":711}],"minimal_cycle":[640,325,447,132,61,711],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":640,"start_interval_clock_positions":[65,259],"circle_positions":772,"cycle_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":[66,260,454,648,842,1036],"clock_positions":[66,260,454,648,842,1036],"native_values":[492,473,299,280,685,87],"rotation_degrees":20.412371134020617,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,473,299,280,685,87],"beta":{"interval_sums":[72989,74270,73761,68673,80902,65585],"interval_residues":[421,158,421,737,614,737],"display_cycle":[421,158,421,737,614,737],"intervals":[{"from_index":66,"to_index":260,"sum":72989,"residue":421},{"from_index":260,"to_index":454,"sum":74270,"residue":158},{"from_index":454,"to_index":648,"sum":73761,"residue":421},{"from_index":648,"to_index":842,"sum":68673,"residue":737},{"from_index":842,"to_index":1036,"sum":80902,"residue":614},{"from_index":1036,"to_index":66,"sum":65585,"residue":737}],"minimal_cycle":[421,158,421,737,614,737],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[66,260],"circle_positions":772,"cycle_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":[67,261,455,649,843,1037],"clock_positions":[67,261,455,649,843,1037],"native_values":[605,746,605,553,26,553],"rotation_degrees":20.721649484536083,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,746,605,553,26,553],"beta":{"interval_sums":[72857,73823,73436,68805,80963,65524],"interval_residues":[289,483,96,97,675,676],"display_cycle":[289,483,96,97,675,676],"intervals":[{"from_index":67,"to_index":261,"sum":72857,"residue":289},{"from_index":261,"to_index":455,"sum":73823,"residue":483},{"from_index":455,"to_index":649,"sum":73436,"residue":96},{"from_index":649,"to_index":843,"sum":68805,"residue":97},{"from_index":843,"to_index":1037,"sum":80963,"residue":675},{"from_index":1037,"to_index":67,"sum":65524,"residue":676}],"minimal_cycle":[289,483,96,97,675,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[67,261],"circle_positions":772,"cycle_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":[68,262,456,650,844,1038],"clock_positions":[68,262,456,650,844,1038],"native_values":[325,447,132,61,711,640],"rotation_degrees":21.030927835051546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,447,132,61,711,640],"beta":{"interval_sums":[73278,73981,73857,68770,80805,65489],"interval_residues":[710,641,517,62,517,641],"display_cycle":[710,641,517,62,517,641],"intervals":[{"from_index":68,"to_index":262,"sum":73278,"residue":710},{"from_index":262,"to_index":456,"sum":73981,"residue":641},{"from_index":456,"to_index":650,"sum":73857,"residue":517},{"from_index":650,"to_index":844,"sum":68770,"residue":62},{"from_index":844,"to_index":1038,"sum":80805,"residue":517},{"from_index":1038,"to_index":68,"sum":65489,"residue":641}],"minimal_cycle":[710,641,517,62,517,641],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[68,262],"circle_positions":772,"cycle_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":[69,263,457,651,845,1039],"clock_positions":[69,263,457,651,845,1039],"native_values":[158,421,737,614,737,421],"rotation_degrees":21.34020618556701,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,421,737,614,737,421],"beta":{"interval_sums":[73567,73692,73181,68867,80708,65393],"interval_residues":[227,352,613,159,420,545],"display_cycle":[227,352,613,159,420,545],"intervals":[{"from_index":69,"to_index":263,"sum":73567,"residue":227},{"from_index":263,"to_index":457,"sum":73692,"residue":352},{"from_index":457,"to_index":651,"sum":73181,"residue":613},{"from_index":651,"to_index":845,"sum":68867,"residue":159},{"from_index":845,"to_index":1039,"sum":80708,"residue":420},{"from_index":1039,"to_index":69,"sum":65393,"residue":545}],"minimal_cycle":[227,352,613,159,420,545],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":227,"start_interval_clock_positions":[69,263],"circle_positions":772,"cycle_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":[70,264,458,652,846,1040],"clock_positions":[70,264,458,652,846,1040],"native_values":[483,96,97,675,676,289],"rotation_degrees":21.649484536082475,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,96,97,675,676,289],"beta":{"interval_sums":[73505,74333,73698,68929,80453,65262],"interval_residues":[165,221,358,221,165,414],"display_cycle":[165,221,358,221,165,414],"intervals":[{"from_index":70,"to_index":264,"sum":73505,"residue":165},{"from_index":264,"to_index":458,"sum":74333,"residue":221},{"from_index":458,"to_index":652,"sum":73698,"residue":358},{"from_index":652,"to_index":846,"sum":68929,"residue":221},{"from_index":846,"to_index":1040,"sum":80453,"residue":165},{"from_index":1040,"to_index":70,"sum":65262,"residue":414}],"minimal_cycle":[165,221,358,221,165,414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":165,"start_interval_clock_positions":[70,264],"circle_positions":772,"cycle_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":[71,265,459,653,847,1041],"clock_positions":[71,265,459,653,847,1041],"native_values":[641,517,62,517,641,710],"rotation_degrees":21.95876288659794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,517,62,517,641,710],"beta":{"interval_sums":[72960,73913,74311,69088,80101,65035],"interval_residues":[392,573,199,380,585,187],"display_cycle":[392,573,199,380,585,187],"intervals":[{"from_index":71,"to_index":265,"sum":72960,"residue":392},{"from_index":265,"to_index":459,"sum":73913,"residue":573},{"from_index":459,"to_index":653,"sum":74311,"residue":199},{"from_index":653,"to_index":847,"sum":69088,"residue":380},{"from_index":847,"to_index":1041,"sum":80101,"residue":585},{"from_index":1041,"to_index":71,"sum":65035,"residue":187}],"minimal_cycle":[392,573,199,380,585,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[71,265],"circle_positions":772,"cycle_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":[72,266,460,654,848,1042],"clock_positions":[72,266,460,654,848,1042],"native_values":[352,613,159,420,545,227],"rotation_degrees":22.2680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[352,613,159,420,545,227],"beta":{"interval_sums":[73125,73362,74669,69309,80266,65449],"interval_residues":[557,22,557,601,750,601],"display_cycle":[557,22,557,601,750,601],"intervals":[{"from_index":72,"to_index":266,"sum":73125,"residue":557},{"from_index":266,"to_index":460,"sum":73362,"residue":22},{"from_index":460,"to_index":654,"sum":74669,"residue":557},{"from_index":654,"to_index":848,"sum":69309,"residue":601},{"from_index":848,"to_index":1042,"sum":80266,"residue":750},{"from_index":1042,"to_index":72,"sum":65449,"residue":601}],"minimal_cycle":[557,22,557,601,750,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[72,266],"circle_positions":772,"cycle_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":[73,267,461,655,849,1043],"clock_positions":[73,267,461,655,849,1043],"native_values":[221,358,221,165,414,165],"rotation_degrees":22.577319587628867,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,358,221,165,414,165],"beta":{"interval_sums":[73517,73163,74868,69689,80079,65636],"interval_residues":[177,595,756,209,563,16],"display_cycle":[177,595,756,209,563,16],"intervals":[{"from_index":73,"to_index":267,"sum":73517,"residue":177},{"from_index":267,"to_index":461,"sum":73163,"residue":595},{"from_index":461,"to_index":655,"sum":74868,"residue":756},{"from_index":655,"to_index":849,"sum":69689,"residue":209},{"from_index":849,"to_index":1043,"sum":80079,"residue":563},{"from_index":1043,"to_index":73,"sum":65636,"residue":16}],"minimal_cycle":[177,595,756,209,563,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[73,267],"circle_positions":772,"cycle_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":[74,268,462,656,850,1044],"clock_positions":[74,268,462,656,850,1044],"native_values":[573,199,380,585,187,392],"rotation_degrees":22.88659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,199,380,585,187,392],"beta":{"interval_sums":[73302,73185,74653,69518,80057,65465],"interval_residues":[734,617,541,38,541,617],"display_cycle":[734,617,541,38,541,617],"intervals":[{"from_index":74,"to_index":268,"sum":73302,"residue":734},{"from_index":268,"to_index":462,"sum":73185,"residue":617},{"from_index":462,"to_index":656,"sum":74653,"residue":541},{"from_index":656,"to_index":850,"sum":69518,"residue":38},{"from_index":850,"to_index":1044,"sum":80057,"residue":541},{"from_index":1044,"to_index":74,"sum":65465,"residue":617}],"minimal_cycle":[734,617,541,38,541,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":734,"start_interval_clock_positions":[74,268],"circle_positions":772,"cycle_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":[75,269,463,657,851,1045],"clock_positions":[75,269,463,657,851,1045],"native_values":[22,557,601,750,601,557],"rotation_degrees":23.195876288659793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,557,601,750,601,557],"beta":{"interval_sums":[73479,73008,74637,68955,79848,65481],"interval_residues":[139,440,525,247,332,633],"display_cycle":[139,440,525,247,332,633],"intervals":[{"from_index":75,"to_index":269,"sum":73479,"residue":139},{"from_index":269,"to_index":463,"sum":73008,"residue":440},{"from_index":463,"to_index":657,"sum":74637,"residue":525},{"from_index":657,"to_index":851,"sum":68955,"residue":247},{"from_index":851,"to_index":1045,"sum":79848,"residue":332},{"from_index":1045,"to_index":75,"sum":65481,"residue":633}],"minimal_cycle":[139,440,525,247,332,633],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":139,"start_interval_clock_positions":[75,269],"circle_positions":772,"cycle_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":[76,270,464,658,852,1046],"clock_positions":[76,270,464,658,852,1046],"native_values":[595,756,209,563,16,177],"rotation_degrees":23.50515463917526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,756,209,563,16,177],"beta":{"interval_sums":[73441,72853,75178,68993,80389,65326],"interval_residues":[101,285,294,285,101,478],"display_cycle":[101,285,294,285,101,478],"intervals":[{"from_index":76,"to_index":270,"sum":73441,"residue":101},{"from_index":270,"to_index":464,"sum":72853,"residue":285},{"from_index":464,"to_index":658,"sum":75178,"residue":294},{"from_index":658,"to_index":852,"sum":68993,"residue":285},{"from_index":852,"to_index":1046,"sum":80389,"residue":101},{"from_index":1046,"to_index":76,"sum":65326,"residue":478}],"minimal_cycle":[101,285,294,285,101,478],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":101,"start_interval_clock_positions":[76,270],"circle_positions":772,"cycle_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":[77,271,465,659,853,1047],"clock_positions":[77,271,465,659,853,1047],"native_values":[617,541,38,541,617,734],"rotation_degrees":23.814432989690722,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,541,38,541,617,734],"beta":{"interval_sums":[73580,72521,75703,68468,79949,65187],"interval_residues":[240,725,47,532,433,339],"display_cycle":[240,725,47,532,433,339],"intervals":[{"from_index":77,"to_index":271,"sum":73580,"residue":240},{"from_index":271,"to_index":465,"sum":72521,"residue":725},{"from_index":465,"to_index":659,"sum":75703,"residue":47},{"from_index":659,"to_index":853,"sum":68468,"residue":532},{"from_index":853,"to_index":1047,"sum":79949,"residue":433},{"from_index":1047,"to_index":77,"sum":65187,"residue":339}],"minimal_cycle":[240,725,47,532,433,339],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":240,"start_interval_clock_positions":[77,271],"circle_positions":772,"cycle_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":[78,272,466,660,854,1048],"clock_positions":[78,272,466,660,854,1048],"native_values":[440,525,247,332,633,139],"rotation_degrees":24.123711340206185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,525,247,332,633,139],"beta":{"interval_sums":[73681,72034,75997,68753,80050,65665],"interval_residues":[341,238,341,45,534,45],"display_cycle":[341,238,341,45,534,45],"intervals":[{"from_index":78,"to_index":272,"sum":73681,"residue":341},{"from_index":272,"to_index":466,"sum":72034,"residue":238},{"from_index":466,"to_index":660,"sum":75997,"residue":341},{"from_index":660,"to_index":854,"sum":68753,"residue":45},{"from_index":854,"to_index":1048,"sum":80050,"residue":534},{"from_index":1048,"to_index":78,"sum":65665,"residue":45}],"minimal_cycle":[341,238,341,45,534,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[78,272],"circle_positions":772,"cycle_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":[79,273,467,661,855,1049],"clock_positions":[79,273,467,661,855,1049],"native_values":[285,294,285,101,478,101],"rotation_degrees":24.432989690721648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,294,285,101,478,101],"beta":{"interval_sums":[73921,71987,76044,69285,79711,66004],"interval_residues":[581,191,388,577,195,384],"display_cycle":[581,191,388,577,195,384],"intervals":[{"from_index":79,"to_index":273,"sum":73921,"residue":581},{"from_index":273,"to_index":467,"sum":71987,"residue":191},{"from_index":467,"to_index":661,"sum":76044,"residue":388},{"from_index":661,"to_index":855,"sum":69285,"residue":577},{"from_index":855,"to_index":1049,"sum":79711,"residue":195},{"from_index":1049,"to_index":79,"sum":66004,"residue":384}],"minimal_cycle":[581,191,388,577,195,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[79,273],"circle_positions":772,"cycle_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":[80,274,468,662,856,1050],"clock_positions":[80,274,468,662,856,1050],"native_values":[725,47,532,433,339,240],"rotation_degrees":24.742268041237114,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,47,532,433,339,240],"beta":{"interval_sums":[73490,72225,75613,69330,79473,66049],"interval_residues":[150,429,729,622,729,429],"display_cycle":[150,429,729,622,729,429],"intervals":[{"from_index":80,"to_index":274,"sum":73490,"residue":150},{"from_index":274,"to_index":468,"sum":72225,"residue":429},{"from_index":468,"to_index":662,"sum":75613,"residue":729},{"from_index":662,"to_index":856,"sum":69330,"residue":622},{"from_index":856,"to_index":1050,"sum":79473,"residue":729},{"from_index":1050,"to_index":80,"sum":66049,"residue":429}],"minimal_cycle":[150,429,729,622,729,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[80,274],"circle_positions":772,"cycle_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":[81,275,469,663,857,1051],"clock_positions":[81,275,469,663,857,1051],"native_values":[238,341,45,534,45,341],"rotation_degrees":25.051546391752577,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,341,45,534,45,341],"beta":{"interval_sums":[73299,72416,76001,69135,79668,66433],"interval_residues":[731,620,345,427,152,41],"display_cycle":[731,620,345,427,152,41],"intervals":[{"from_index":81,"to_index":275,"sum":73299,"residue":731},{"from_index":275,"to_index":469,"sum":72416,"residue":620},{"from_index":469,"to_index":663,"sum":76001,"residue":345},{"from_index":663,"to_index":857,"sum":69135,"residue":427},{"from_index":857,"to_index":1051,"sum":79668,"residue":152},{"from_index":1051,"to_index":81,"sum":66433,"residue":41}],"minimal_cycle":[731,620,345,427,152,41],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":731,"start_interval_clock_positions":[81,275],"circle_positions":772,"cycle_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":[82,276,470,664,858,1052],"clock_positions":[82,276,470,664,858,1052],"native_values":[191,388,577,195,384,581],"rotation_degrees":25.36082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,388,577,195,384,581],"beta":{"interval_sums":[73449,72073,75958,68985,79625,66090],"interval_residues":[109,277,302,277,109,470],"display_cycle":[109,277,302,277,109,470],"intervals":[{"from_index":82,"to_index":276,"sum":73449,"residue":109},{"from_index":276,"to_index":470,"sum":72073,"residue":277},{"from_index":470,"to_index":664,"sum":75958,"residue":302},{"from_index":664,"to_index":858,"sum":68985,"residue":277},{"from_index":858,"to_index":1052,"sum":79625,"residue":109},{"from_index":1052,"to_index":82,"sum":66090,"residue":470}],"minimal_cycle":[109,277,302,277,109,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":109,"start_interval_clock_positions":[82,276],"circle_positions":772,"cycle_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":[83,277,471,665,859,1053],"clock_positions":[83,277,471,665,859,1053],"native_values":[429,729,622,729,429,150],"rotation_degrees":25.670103092783506,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,729,622,729,429,150],"beta":{"interval_sums":[73408,71921,75531,68640,79777,66131],"interval_residues":[68,125,647,704,261,511],"display_cycle":[68,125,647,704,261,511],"intervals":[{"from_index":83,"to_index":277,"sum":73408,"residue":68},{"from_index":277,"to_index":471,"sum":71921,"residue":125},{"from_index":471,"to_index":665,"sum":75531,"residue":647},{"from_index":665,"to_index":859,"sum":68640,"residue":704},{"from_index":859,"to_index":1053,"sum":79777,"residue":261},{"from_index":1053,"to_index":83,"sum":66131,"residue":511}],"minimal_cycle":[68,125,647,704,261,511],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[83,277],"circle_positions":772,"cycle_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":[84,278,472,666,860,1054],"clock_positions":[84,278,472,666,860,1054],"native_values":[620,345,427,152,41,731],"rotation_degrees":25.97938144329897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[620,345,427,152,41,731],"beta":{"interval_sums":[73517,72198,75833,68917,79886,65829],"interval_residues":[177,402,177,209,370,209],"display_cycle":[177,402,177,209,370,209],"intervals":[{"from_index":84,"to_index":278,"sum":73517,"residue":177},{"from_index":278,"to_index":472,"sum":72198,"residue":402},{"from_index":472,"to_index":666,"sum":75833,"residue":177},{"from_index":666,"to_index":860,"sum":68917,"residue":209},{"from_index":860,"to_index":1054,"sum":79886,"residue":370},{"from_index":1054,"to_index":84,"sum":65829,"residue":209}],"minimal_cycle":[177,402,177,209,370,209],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[84,278],"circle_positions":772,"cycle_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":[85,279,473,667,861,1055],"clock_positions":[85,279,473,667,861,1055],"native_values":[277,302,277,109,470,109],"rotation_degrees":26.288659793814432,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,302,277,109,470,109],"beta":{"interval_sums":[73585,72323,75708,68849,80147,66340],"interval_residues":[245,527,52,141,631,720],"display_cycle":[245,527,52,141,631,720],"intervals":[{"from_index":85,"to_index":279,"sum":73585,"residue":245},{"from_index":279,"to_index":473,"sum":72323,"residue":527},{"from_index":473,"to_index":667,"sum":75708,"residue":52},{"from_index":667,"to_index":861,"sum":68849,"residue":141},{"from_index":861,"to_index":1055,"sum":80147,"residue":631},{"from_index":1055,"to_index":85,"sum":66340,"residue":720}],"minimal_cycle":[245,527,52,141,631,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[85,279],"circle_positions":772,"cycle_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":[86,280,474,668,862,1056],"clock_positions":[86,280,474,668,862,1056],"native_values":[125,647,704,261,511,68],"rotation_degrees":26.5979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,647,704,261,511,68],"beta":{"interval_sums":[73762,71953,75113,69058,79745,66549],"interval_residues":[422,157,229,350,229,157],"display_cycle":[422,157,229,350,229,157],"intervals":[{"from_index":86,"to_index":280,"sum":73762,"residue":422},{"from_index":280,"to_index":474,"sum":71953,"residue":157},{"from_index":474,"to_index":668,"sum":75113,"residue":229},{"from_index":668,"to_index":862,"sum":69058,"residue":350},{"from_index":862,"to_index":1056,"sum":79745,"residue":229},{"from_index":1056,"to_index":86,"sum":66549,"residue":157}],"minimal_cycle":[422,157,229,350,229,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[86,280],"circle_positions":772,"cycle_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":[87,281,475,669,863,1057],"clock_positions":[87,281,475,669,863,1057],"native_values":[402,177,209,370,209,177],"rotation_degrees":26.90721649484536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[402,177,209,370,209,177],"beta":{"interval_sums":[74007,72480,75165,69199,79604,66497],"interval_residues":[667,684,281,491,88,105],"display_cycle":[667,684,281,491,88,105],"intervals":[{"from_index":87,"to_index":281,"sum":74007,"residue":667},{"from_index":281,"to_index":475,"sum":72480,"residue":684},{"from_index":475,"to_index":669,"sum":75165,"residue":281},{"from_index":669,"to_index":863,"sum":69199,"residue":491},{"from_index":863,"to_index":1057,"sum":79604,"residue":88},{"from_index":1057,"to_index":87,"sum":66497,"residue":105}],"minimal_cycle":[667,684,281,491,88,105],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":667,"start_interval_clock_positions":[87,281],"circle_positions":772,"cycle_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":[88,282,476,670,864,1058],"clock_positions":[88,282,476,670,864,1058],"native_values":[527,52,141,631,720,245],"rotation_degrees":27.216494845360824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,52,141,631,720,245],"beta":{"interval_sums":[73657,72637,75394,68777,79061,66654],"interval_residues":[317,69,510,69,317,262],"display_cycle":[317,69,510,69,317,262],"intervals":[{"from_index":88,"to_index":282,"sum":73657,"residue":317},{"from_index":282,"to_index":476,"sum":72637,"residue":69},{"from_index":476,"to_index":670,"sum":75394,"residue":510},{"from_index":670,"to_index":864,"sum":68777,"residue":69},{"from_index":864,"to_index":1058,"sum":79061,"residue":317},{"from_index":1058,"to_index":88,"sum":66654,"residue":262}],"minimal_cycle":[317,69,510,69,317,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[88,282],"circle_positions":772,"cycle_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":[89,283,477,671,865,1059],"clock_positions":[89,283,477,671,865,1059],"native_values":[157,229,350,229,157,422],"rotation_degrees":27.52577319587629,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,229,350,229,157,422],"beta":{"interval_sums":[73552,72549,75675,69268,79149,66759],"interval_residues":[212,753,19,560,405,367],"display_cycle":[212,753,19,560,405,367],"intervals":[{"from_index":89,"to_index":283,"sum":73552,"residue":212},{"from_index":283,"to_index":477,"sum":72549,"residue":753},{"from_index":477,"to_index":671,"sum":75675,"residue":19},{"from_index":671,"to_index":865,"sum":69268,"residue":560},{"from_index":865,"to_index":1059,"sum":79149,"residue":405},{"from_index":1059,"to_index":89,"sum":66759,"residue":367}],"minimal_cycle":[212,753,19,560,405,367],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":212,"start_interval_clock_positions":[89,283],"circle_positions":772,"cycle_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":[90,284,478,672,866,1060],"clock_positions":[90,284,478,672,866,1060],"native_values":[684,281,491,88,105,667],"rotation_degrees":27.835051546391753,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[684,281,491,88,105,667],"beta":{"interval_sums":[73097,72618,75413,69337,79466,66249],"interval_residues":[529,50,529,629,722,629],"display_cycle":[529,50,529,629,722,629],"intervals":[{"from_index":90,"to_index":284,"sum":73097,"residue":529},{"from_index":284,"to_index":478,"sum":72618,"residue":50},{"from_index":478,"to_index":672,"sum":75413,"residue":529},{"from_index":672,"to_index":866,"sum":69337,"residue":629},{"from_index":866,"to_index":1060,"sum":79466,"residue":722},{"from_index":1060,"to_index":90,"sum":66249,"residue":629}],"minimal_cycle":[529,50,529,629,722,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[90,284],"circle_positions":772,"cycle_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":[91,285,479,673,867,1061],"clock_positions":[91,285,479,673,867,1061],"native_values":[69,510,69,317,262,317],"rotation_degrees":28.144329896907216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,510,69,317,262,317],"beta":{"interval_sums":[73309,72599,75432,69125,79871,66616],"interval_residues":[741,31,548,417,355,224],"display_cycle":[741,31,548,417,355,224],"intervals":[{"from_index":91,"to_index":285,"sum":73309,"residue":741},{"from_index":285,"to_index":479,"sum":72599,"residue":31},{"from_index":479,"to_index":673,"sum":75432,"residue":548},{"from_index":673,"to_index":867,"sum":69125,"residue":417},{"from_index":867,"to_index":1061,"sum":79871,"residue":355},{"from_index":1061,"to_index":91,"sum":66616,"residue":224}],"minimal_cycle":[741,31,548,417,355,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[91,285],"circle_positions":772,"cycle_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":[92,286,480,674,868,1062],"clock_positions":[92,286,480,674,868,1062],"native_values":[753,19,560,405,367,212],"rotation_degrees":28.45360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,19,560,405,367,212],"beta":{"interval_sums":[73066,72649,75189,68982,79821,66473],"interval_residues":[498,81,305,274,305,81],"display_cycle":[498,81,305,274,305,81],"intervals":[{"from_index":92,"to_index":286,"sum":73066,"residue":498},{"from_index":286,"to_index":480,"sum":72649,"residue":81},{"from_index":480,"to_index":674,"sum":75189,"residue":305},{"from_index":674,"to_index":868,"sum":68982,"residue":274},{"from_index":868,"to_index":1062,"sum":79821,"residue":305},{"from_index":1062,"to_index":92,"sum":66473,"residue":81}],"minimal_cycle":[498,81,305,274,305,81],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[92,286],"circle_positions":772,"cycle_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":[93,287,481,675,869,1063],"clock_positions":[93,287,481,675,869,1063],"native_values":[50,529,629,722,629,529],"rotation_degrees":28.762886597938145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,529,629,722,629,529],"beta":{"interval_sums":[73035,72680,74965,68627,79404,66697],"interval_residues":[467,112,81,691,660,305],"display_cycle":[467,112,81,691,660,305],"intervals":[{"from_index":93,"to_index":287,"sum":73035,"residue":467},{"from_index":287,"to_index":481,"sum":72680,"residue":112},{"from_index":481,"to_index":675,"sum":74965,"residue":81},{"from_index":675,"to_index":869,"sum":68627,"residue":691},{"from_index":869,"to_index":1063,"sum":79404,"residue":660},{"from_index":1063,"to_index":93,"sum":66697,"residue":305}],"minimal_cycle":[467,112,81,691,660,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[93,287],"circle_positions":772,"cycle_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":[94,288,482,676,870,1064],"clock_positions":[94,288,482,676,870,1064],"native_values":[31,548,417,355,224,741],"rotation_degrees":29.072164948453608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,548,417,355,224,741],"beta":{"interval_sums":[73533,72761,75270,68901,79709,66006],"interval_residues":[193,193,386,193,193,386],"display_cycle":[193,193,386,193,193,386],"intervals":[{"from_index":94,"to_index":288,"sum":73533,"residue":193},{"from_index":288,"to_index":482,"sum":72761,"residue":193},{"from_index":482,"to_index":676,"sum":75270,"residue":386},{"from_index":676,"to_index":870,"sum":68901,"residue":193},{"from_index":870,"to_index":1064,"sum":79709,"residue":193},{"from_index":1064,"to_index":94,"sum":66006,"residue":386}],"minimal_cycle":[193,193,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":193,"start_interval_clock_positions":[94,288],"circle_positions":772,"cycle_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":[95,289,483,677,871,1065],"clock_positions":[95,289,483,677,871,1065],"native_values":[81,305,274,305,81,498],"rotation_degrees":29.38144329896907,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,305,274,305,81,498],"beta":{"interval_sums":[74000,72873,75351,68820,80369,65539],"interval_residues":[660,305,467,112,81,691],"display_cycle":[660,305,467,112,81,691],"intervals":[{"from_index":95,"to_index":289,"sum":74000,"residue":660},{"from_index":289,"to_index":483,"sum":72873,"residue":305},{"from_index":483,"to_index":677,"sum":75351,"residue":467},{"from_index":677,"to_index":871,"sum":68820,"residue":112},{"from_index":871,"to_index":1065,"sum":80369,"residue":81},{"from_index":1065,"to_index":95,"sum":65539,"residue":691}],"minimal_cycle":[660,305,467,112,81,691],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":660,"start_interval_clock_positions":[95,289],"circle_positions":772,"cycle_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":[96,290,484,678,872,1066],"clock_positions":[96,290,484,678,872,1066],"native_values":[112,81,691,660,305,467],"rotation_degrees":29.690721649484537,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,81,691,660,305,467],"beta":{"interval_sums":[74193,73066,74965,68241,80562,65153],"interval_residues":[81,498,81,305,274,305],"display_cycle":[81,498,81,305,274,305],"intervals":[{"from_index":96,"to_index":290,"sum":74193,"residue":81},{"from_index":290,"to_index":484,"sum":73066,"residue":498},{"from_index":484,"to_index":678,"sum":74965,"residue":81},{"from_index":678,"to_index":872,"sum":68241,"residue":305},{"from_index":872,"to_index":1066,"sum":80562,"residue":274},{"from_index":1066,"to_index":96,"sum":65153,"residue":305}],"minimal_cycle":[81,498,81,305,274,305],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[96,290],"circle_positions":772,"cycle_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":[97,291,485,679,873,1067],"clock_positions":[97,291,485,679,873,1067],"native_values":[193,386,193,193,386,193],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[193,386,193],"beta":{"interval_sums":[74081,73371,75432,68353,80643,65072],"interval_residues":[741,31,548,417,355,224],"display_cycle":[741,31,548,417,355,224],"intervals":[{"from_index":97,"to_index":291,"sum":74081,"residue":741},{"from_index":291,"to_index":485,"sum":73371,"residue":31},{"from_index":485,"to_index":679,"sum":75432,"residue":548},{"from_index":679,"to_index":873,"sum":68353,"residue":417},{"from_index":873,"to_index":1067,"sum":80643,"residue":355},{"from_index":1067,"to_index":97,"sum":65072,"residue":224}],"minimal_cycle":[741,31,548,417,355,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":741,"start_interval_clock_positions":[97,291],"circle_positions":772,"cycle_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":[98,292,486,680,874,1068],"clock_positions":[98,292,486,680,874,1068],"native_values":[305,467,112,81,691,660],"rotation_degrees":30.309278350515463,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[305,467,112,81,691,660],"beta":{"interval_sums":[74162,73097,75513,68658,80145,64605],"interval_residues":[50,529,629,722,629,529],"display_cycle":[50,529,629,722,629,529],"intervals":[{"from_index":98,"to_index":292,"sum":74162,"residue":50},{"from_index":292,"to_index":486,"sum":73097,"residue":529},{"from_index":486,"to_index":680,"sum":75513,"residue":629},{"from_index":680,"to_index":874,"sum":68658,"residue":722},{"from_index":874,"to_index":1068,"sum":80145,"residue":629},{"from_index":1068,"to_index":98,"sum":64605,"residue":529}],"minimal_cycle":[50,529,629,722,629,529],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[98,292],"circle_positions":772,"cycle_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":[99,293,487,681,875,1069],"clock_positions":[99,293,487,681,875,1069],"native_values":[498,81,305,274,305,81],"rotation_degrees":30.61855670103093,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[498,81,305,274,305,81],"beta":{"interval_sums":[74131,73128,75289,69075,80500,64829],"interval_residues":[19,560,405,367,212,753],"display_cycle":[19,560,405,367,212,753],"intervals":[{"from_index":99,"to_index":293,"sum":74131,"residue":19},{"from_index":293,"to_index":487,"sum":73128,"residue":560},{"from_index":487,"to_index":681,"sum":75289,"residue":405},{"from_index":681,"to_index":875,"sum":69075,"residue":367},{"from_index":875,"to_index":1069,"sum":80500,"residue":212},{"from_index":1069,"to_index":99,"sum":64829,"residue":753}],"minimal_cycle":[19,560,405,367,212,753],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[99,293],"circle_positions":772,"cycle_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":[100,294,488,682,876,1070],"clock_positions":[100,294,488,682,876,1070],"native_values":[31,548,417,355,224,741],"rotation_degrees":30.927835051546392,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[31,548,417,355,224,741],"beta":{"interval_sums":[74181,72885,75146,69025,80357,64586],"interval_residues":[69,317,262,317,69,510],"display_cycle":[69,317,262,317,69,510],"intervals":[{"from_index":100,"to_index":294,"sum":74181,"residue":69},{"from_index":294,"to_index":488,"sum":72885,"residue":317},{"from_index":488,"to_index":682,"sum":75146,"residue":262},{"from_index":682,"to_index":876,"sum":69025,"residue":317},{"from_index":876,"to_index":1070,"sum":80357,"residue":69},{"from_index":1070,"to_index":100,"sum":64586,"residue":510}],"minimal_cycle":[69,317,262,317,69,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":69,"start_interval_clock_positions":[100,294],"circle_positions":772,"cycle_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":[101,295,489,683,877,1071],"clock_positions":[101,295,489,683,877,1071],"native_values":[529,629,722,629,529,50],"rotation_degrees":31.237113402061855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,629,722,629,529,50],"beta":{"interval_sums":[74200,72673,74779,68620,80569,64567],"interval_residues":[88,105,667,684,281,491],"display_cycle":[88,105,667,684,281,491],"intervals":[{"from_index":101,"to_index":295,"sum":74200,"residue":88},{"from_index":295,"to_index":489,"sum":72673,"residue":105},{"from_index":489,"to_index":683,"sum":74779,"residue":667},{"from_index":683,"to_index":877,"sum":68620,"residue":684},{"from_index":877,"to_index":1071,"sum":80569,"residue":281},{"from_index":1071,"to_index":101,"sum":64567,"residue":491}],"minimal_cycle":[88,105,667,684,281,491],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[101,295],"circle_positions":772,"cycle_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":[102,296,490,684,878,1072],"clock_positions":[102,296,490,684,878,1072],"native_values":[560,405,367,212,753,19],"rotation_degrees":31.54639175257732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,405,367,212,753,19],"beta":{"interval_sums":[74269,72990,75041,68937,79866,65077],"interval_residues":[157,422,157,229,350,229],"display_cycle":[157,422,157,229,350,229],"intervals":[{"from_index":102,"to_index":296,"sum":74269,"residue":157},{"from_index":296,"to_index":490,"sum":72990,"residue":422},{"from_index":490,"to_index":684,"sum":75041,"residue":157},{"from_index":684,"to_index":878,"sum":68937,"residue":229},{"from_index":878,"to_index":1072,"sum":79866,"residue":350},{"from_index":1072,"to_index":102,"sum":65077,"residue":229}],"minimal_cycle":[157,422,157,229,350,229],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[102,296],"circle_positions":772,"cycle_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":[103,297,491,685,879,1073],"clock_positions":[103,297,491,685,879,1073],"native_values":[317,262,317,69,510,69],"rotation_degrees":31.855670103092784,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[317,262,317,69,510,69],"beta":{"interval_sums":[74357,73095,74936,69621,79375,65568],"interval_residues":[245,527,52,141,631,720],"display_cycle":[245,527,52,141,631,720],"intervals":[{"from_index":103,"to_index":297,"sum":74357,"residue":245},{"from_index":297,"to_index":491,"sum":73095,"residue":527},{"from_index":491,"to_index":685,"sum":74936,"residue":52},{"from_index":685,"to_index":879,"sum":69621,"residue":141},{"from_index":879,"to_index":1073,"sum":79375,"residue":631},{"from_index":1073,"to_index":103,"sum":65568,"residue":720}],"minimal_cycle":[245,527,52,141,631,720],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":245,"start_interval_clock_positions":[103,297],"circle_positions":772,"cycle_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":[104,298,492,686,880,1074],"clock_positions":[104,298,492,686,880,1074],"native_values":[105,667,684,281,491,88],"rotation_degrees":32.16494845360825,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,667,684,281,491,88],"beta":{"interval_sums":[74514,72745,74321,69850,78953,65797],"interval_residues":[402,177,209,370,209,177],"display_cycle":[402,177,209,370,209,177],"intervals":[{"from_index":104,"to_index":298,"sum":74514,"residue":402},{"from_index":298,"to_index":492,"sum":72745,"residue":177},{"from_index":492,"to_index":686,"sum":74321,"residue":209},{"from_index":686,"to_index":880,"sum":69850,"residue":370},{"from_index":880,"to_index":1074,"sum":78953,"residue":209},{"from_index":1074,"to_index":104,"sum":65797,"residue":177}],"minimal_cycle":[402,177,209,370,209,177],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[104,298],"circle_positions":772,"cycle_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":[105,299,493,687,881,1075],"clock_positions":[105,299,493,687,881,1075],"native_values":[422,157,229,350,229,157],"rotation_degrees":32.47422680412371,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[422,157,229,350,229,157],"beta":{"interval_sums":[74759,73272,74373,69991,78812,65745],"interval_residues":[647,704,261,511,68,125],"display_cycle":[647,704,261,511,68,125],"intervals":[{"from_index":105,"to_index":299,"sum":74759,"residue":647},{"from_index":299,"to_index":493,"sum":73272,"residue":704},{"from_index":493,"to_index":687,"sum":74373,"residue":261},{"from_index":687,"to_index":881,"sum":69991,"residue":511},{"from_index":881,"to_index":1075,"sum":78812,"residue":68},{"from_index":1075,"to_index":105,"sum":65745,"residue":125}],"minimal_cycle":[647,704,261,511,68,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":647,"start_interval_clock_positions":[105,299],"circle_positions":772,"cycle_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":[106,300,494,688,882,1076],"clock_positions":[106,300,494,688,882,1076],"native_values":[527,52,141,631,720,245],"rotation_degrees":32.78350515463917,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,52,141,631,720,245],"beta":{"interval_sums":[74389,73449,74582,69589,78249,65922],"interval_residues":[277,109,470,109,277,302],"display_cycle":[277,109,470,109,277,302],"intervals":[{"from_index":106,"to_index":300,"sum":74389,"residue":277},{"from_index":300,"to_index":494,"sum":73449,"residue":109},{"from_index":494,"to_index":688,"sum":74582,"residue":470},{"from_index":688,"to_index":882,"sum":69589,"residue":109},{"from_index":882,"to_index":1076,"sum":78249,"residue":277},{"from_index":1076,"to_index":106,"sum":65922,"residue":302}],"minimal_cycle":[277,109,470,109,277,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":277,"start_interval_clock_positions":[106,300],"circle_positions":772,"cycle_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":[107,301,495,689,883,1077],"clock_positions":[107,301,495,689,883,1077],"native_values":[177,209,370,209,177,402],"rotation_degrees":33.09278350515464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,209,370,209,177,402],"beta":{"interval_sums":[74264,73381,74843,70100,78317,66047],"interval_residues":[152,41,731,620,345,427],"display_cycle":[152,41,731,620,345,427],"intervals":[{"from_index":107,"to_index":301,"sum":74264,"residue":152},{"from_index":301,"to_index":495,"sum":73381,"residue":41},{"from_index":495,"to_index":689,"sum":74843,"residue":731},{"from_index":689,"to_index":883,"sum":70100,"residue":620},{"from_index":883,"to_index":1077,"sum":78317,"residue":345},{"from_index":1077,"to_index":107,"sum":66047,"residue":427}],"minimal_cycle":[152,41,731,620,345,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[107,301],"circle_positions":772,"cycle_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":[108,302,496,690,884,1078],"clock_positions":[108,302,496,690,884,1078],"native_values":[704,261,511,68,125,647],"rotation_degrees":33.402061855670105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,261,511,68,125,647],"beta":{"interval_sums":[73769,73490,74541,70209,78594,65577],"interval_residues":[429,150,429,729,622,729],"display_cycle":[429,150,429,729,622,729],"intervals":[{"from_index":108,"to_index":302,"sum":73769,"residue":429},{"from_index":302,"to_index":496,"sum":73490,"residue":150},{"from_index":496,"to_index":690,"sum":74541,"residue":429},{"from_index":690,"to_index":884,"sum":70209,"residue":729},{"from_index":884,"to_index":1078,"sum":78594,"residue":622},{"from_index":1078,"to_index":108,"sum":65577,"residue":729}],"minimal_cycle":[429,150,429,729,622,729],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[108,302],"circle_positions":772,"cycle_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":[109,303,497,691,885,1079],"clock_positions":[109,303,497,691,885,1079],"native_values":[109,470,109,277,302,277],"rotation_degrees":33.71134020618557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,470,109,277,302,277],"beta":{"interval_sums":[73921,73531,74500,70057,78939,66004],"interval_residues":[581,191,388,577,195,384],"display_cycle":[581,191,388,577,195,384],"intervals":[{"from_index":109,"to_index":303,"sum":73921,"residue":581},{"from_index":303,"to_index":497,"sum":73531,"residue":191},{"from_index":497,"to_index":691,"sum":74500,"residue":388},{"from_index":691,"to_index":885,"sum":70057,"residue":577},{"from_index":885,"to_index":1079,"sum":78939,"residue":195},{"from_index":1079,"to_index":109,"sum":66004,"residue":384}],"minimal_cycle":[581,191,388,577,195,384],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[109,303],"circle_positions":772,"cycle_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":[110,304,498,692,886,1080],"clock_positions":[110,304,498,692,886,1080],"native_values":[41,731,620,345,427,152],"rotation_degrees":34.02061855670103,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,731,620,345,427,152],"beta":{"interval_sums":[74350,72909,74157,70014,78789,65961],"interval_residues":[238,341,45,534,45,341],"display_cycle":[238,341,45,534,45,341],"intervals":[{"from_index":110,"to_index":304,"sum":74350,"residue":238},{"from_index":304,"to_index":498,"sum":72909,"residue":341},{"from_index":498,"to_index":692,"sum":74157,"residue":45},{"from_index":692,"to_index":886,"sum":70014,"residue":534},{"from_index":886,"to_index":1080,"sum":78789,"residue":45},{"from_index":1080,"to_index":110,"sum":65961,"residue":341}],"minimal_cycle":[238,341,45,534,45,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[110,304],"circle_positions":772,"cycle_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":[111,305,499,693,887,1081],"clock_positions":[111,305,499,693,887,1081],"native_values":[150,429,729,622,729,429],"rotation_degrees":34.329896907216494,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[150,429,729,622,729,429],"beta":{"interval_sums":[74931,73100,73773,69819,78212,65573],"interval_residues":[47,532,433,339,240,725],"display_cycle":[47,532,433,339,240,725],"intervals":[{"from_index":111,"to_index":305,"sum":74931,"residue":47},{"from_index":305,"to_index":499,"sum":73100,"residue":532},{"from_index":499,"to_index":693,"sum":73773,"residue":433},{"from_index":693,"to_index":887,"sum":69819,"residue":339},{"from_index":887,"to_index":1081,"sum":78212,"residue":240},{"from_index":1081,"to_index":111,"sum":65573,"residue":725}],"minimal_cycle":[47,532,433,339,240,725],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[111,305],"circle_positions":772,"cycle_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":[112,306,500,694,888,1082],"clock_positions":[112,306,500,694,888,1082],"native_values":[191,388,577,195,384,581],"rotation_degrees":34.63917525773196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,388,577,195,384,581],"beta":{"interval_sums":[75169,73441,73818,70353,78257,65142],"interval_residues":[285,101,478,101,285,294],"display_cycle":[285,101,478,101,285,294],"intervals":[{"from_index":112,"to_index":306,"sum":75169,"residue":285},{"from_index":306,"to_index":500,"sum":73441,"residue":101},{"from_index":500,"to_index":694,"sum":73818,"residue":478},{"from_index":694,"to_index":888,"sum":70353,"residue":101},{"from_index":888,"to_index":1082,"sum":78257,"residue":285},{"from_index":1082,"to_index":112,"sum":65142,"residue":294}],"minimal_cycle":[285,101,478,101,285,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[112,306],"circle_positions":772,"cycle_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":[113,307,501,695,889,1083],"clock_positions":[113,307,501,695,889,1083],"native_values":[341,45,534,45,341,238],"rotation_degrees":34.94845360824742,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,45,534,45,341,238],"beta":{"interval_sums":[75216,73973,73479,70692,78497,65095],"interval_residues":[332,633,139,440,525,247],"display_cycle":[332,633,139,440,525,247],"intervals":[{"from_index":113,"to_index":307,"sum":75216,"residue":332},{"from_index":307,"to_index":501,"sum":73973,"residue":633},{"from_index":501,"to_index":695,"sum":73479,"residue":139},{"from_index":695,"to_index":889,"sum":70692,"residue":440},{"from_index":889,"to_index":1083,"sum":78497,"residue":525},{"from_index":1083,"to_index":113,"sum":65095,"residue":247}],"minimal_cycle":[332,633,139,440,525,247],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[113,307],"circle_positions":772,"cycle_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":[114,308,502,696,890,1084],"clock_positions":[114,308,502,696,890,1084],"native_values":[532,433,339,240,725,47],"rotation_degrees":35.25773195876289,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[532,433,339,240,725,47],"beta":{"interval_sums":[74729,74074,73185,70793,78010,65389],"interval_residues":[617,734,617,541,38,541],"display_cycle":[617,734,617,541,38,541],"intervals":[{"from_index":114,"to_index":308,"sum":74729,"residue":617},{"from_index":308,"to_index":502,"sum":74074,"residue":734},{"from_index":502,"to_index":696,"sum":73185,"residue":617},{"from_index":696,"to_index":890,"sum":70793,"residue":541},{"from_index":890,"to_index":1084,"sum":78010,"residue":38},{"from_index":1084,"to_index":114,"sum":65389,"residue":541}],"minimal_cycle":[617,734,617,541,38,541],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":617,"start_interval_clock_positions":[114,308],"circle_positions":772,"cycle_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":[115,309,503,697,891,1085],"clock_positions":[115,309,503,697,891,1085],"native_values":[101,478,101,285,294,285],"rotation_degrees":35.56701030927835,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,478,101,285,294,285],"beta":{"interval_sums":[75061,73935,73324,71233,77763,65636],"interval_residues":[177,595,756,209,563,16],"display_cycle":[177,595,756,209,563,16],"intervals":[{"from_index":115,"to_index":309,"sum":75061,"residue":177},{"from_index":309,"to_index":503,"sum":73935,"residue":595},{"from_index":503,"to_index":697,"sum":73324,"residue":756},{"from_index":697,"to_index":891,"sum":71233,"residue":209},{"from_index":891,"to_index":1085,"sum":77763,"residue":563},{"from_index":1085,"to_index":115,"sum":65636,"residue":16}],"minimal_cycle":[177,595,756,209,563,16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":177,"start_interval_clock_positions":[115,309],"circle_positions":772,"cycle_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":[116,310,504,698,892,1086],"clock_positions":[116,310,504,698,892,1086],"native_values":[633,139,440,525,247,332],"rotation_degrees":35.876288659793815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,139,440,525,247,332],"beta":{"interval_sums":[74906,73897,73169,71002,77801,65405],"interval_residues":[22,557,601,750,601,557],"display_cycle":[22,557,601,750,601,557],"intervals":[{"from_index":116,"to_index":310,"sum":74906,"residue":22},{"from_index":310,"to_index":504,"sum":73897,"residue":557},{"from_index":504,"to_index":698,"sum":73169,"residue":601},{"from_index":698,"to_index":892,"sum":71002,"residue":750},{"from_index":892,"to_index":1086,"sum":77801,"residue":601},{"from_index":1086,"to_index":116,"sum":65405,"residue":557}],"minimal_cycle":[22,557,601,750,601,557],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[116,310],"circle_positions":772,"cycle_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":[117,311,505,699,893,1087],"clock_positions":[117,311,505,699,893,1087],"native_values":[734,617,541,38,541,617],"rotation_degrees":36.18556701030928,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[734,617,541,38,541,617],"beta":{"interval_sums":[74311,73720,73153,71211,77592,65421],"interval_residues":[199,380,585,187,392,573],"display_cycle":[199,380,585,187,392,573],"intervals":[{"from_index":117,"to_index":311,"sum":74311,"residue":199},{"from_index":311,"to_index":505,"sum":73720,"residue":380},{"from_index":505,"to_index":699,"sum":73153,"residue":585},{"from_index":699,"to_index":893,"sum":71211,"residue":187},{"from_index":893,"to_index":1087,"sum":77592,"residue":392},{"from_index":1087,"to_index":117,"sum":65421,"residue":573}],"minimal_cycle":[199,380,585,187,392,573],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":199,"start_interval_clock_positions":[117,311],"circle_positions":772,"cycle_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":[118,312,506,700,894,1088],"clock_positions":[118,312,506,700,894,1088],"native_values":[595,756,209,563,16,177],"rotation_degrees":36.49484536082474,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[595,756,209,563,16,177],"beta":{"interval_sums":[74333,73505,72982,71189,78193,65978],"interval_residues":[221,165,414,165,221,358],"display_cycle":[221,165,414,165,221,358],"intervals":[{"from_index":118,"to_index":312,"sum":74333,"residue":221},{"from_index":312,"to_index":506,"sum":73505,"residue":165},{"from_index":506,"to_index":700,"sum":72982,"residue":414},{"from_index":700,"to_index":894,"sum":71189,"residue":165},{"from_index":894,"to_index":1088,"sum":78193,"residue":221},{"from_index":1088,"to_index":118,"sum":65978,"residue":358}],"minimal_cycle":[221,165,414,165,221,358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":221,"start_interval_clock_positions":[118,312],"circle_positions":772,"cycle_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":[119,313,507,701,895,1089],"clock_positions":[119,313,507,701,895,1089],"native_values":[557,601,750,601,557,22],"rotation_degrees":36.8041237113402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,601,750,601,557,22],"beta":{"interval_sums":[74532,73113,72795,70604,77813,66551],"interval_residues":[420,545,227,352,613,159],"display_cycle":[420,545,227,352,613,159],"intervals":[{"from_index":119,"to_index":313,"sum":74532,"residue":420},{"from_index":313,"to_index":507,"sum":73113,"residue":545},{"from_index":507,"to_index":701,"sum":72795,"residue":227},{"from_index":701,"to_index":895,"sum":70604,"residue":352},{"from_index":895,"to_index":1089,"sum":77813,"residue":613},{"from_index":1089,"to_index":119,"sum":66551,"residue":159}],"minimal_cycle":[420,545,227,352,613,159],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[119,313],"circle_positions":772,"cycle_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":[120,314,508,702,896,1090],"clock_positions":[120,314,508,702,896,1090],"native_values":[380,585,187,392,573,199],"rotation_degrees":37.11340206185567,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[380,585,187,392,573,199],"beta":{"interval_sums":[74753,73278,73209,70769,77262,66909],"interval_residues":[641,710,641,517,62,517],"display_cycle":[641,710,641,517,62,517],"intervals":[{"from_index":120,"to_index":314,"sum":74753,"residue":641},{"from_index":314,"to_index":508,"sum":73278,"residue":710},{"from_index":508,"to_index":702,"sum":73209,"residue":641},{"from_index":702,"to_index":896,"sum":70769,"residue":517},{"from_index":896,"to_index":1090,"sum":77262,"residue":62},{"from_index":1090,"to_index":120,"sum":66909,"residue":517}],"minimal_cycle":[641,710,641,517,62,517],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[120,314],"circle_positions":772,"cycle_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":[121,315,509,703,897,1091],"clock_positions":[121,315,509,703,897,1091],"native_values":[165,414,165,221,358,221],"rotation_degrees":37.422680412371136,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,414,165,221,358,221],"beta":{"interval_sums":[75173,73051,73436,71121,77103,67068],"interval_residues":[289,483,96,97,675,676],"display_cycle":[289,483,96,97,675,676],"intervals":[{"from_index":121,"to_index":315,"sum":75173,"residue":289},{"from_index":315,"to_index":509,"sum":73051,"residue":483},{"from_index":509,"to_index":703,"sum":73436,"residue":96},{"from_index":703,"to_index":897,"sum":71121,"residue":97},{"from_index":897,"to_index":1091,"sum":77103,"residue":675},{"from_index":1091,"to_index":121,"sum":67068,"residue":676}],"minimal_cycle":[289,483,96,97,675,676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[121,315],"circle_positions":772,"cycle_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":[122,316,510,704,898,1092],"clock_positions":[122,316,510,704,898,1092],"native_values":[545,227,352,613,159,420],"rotation_degrees":37.7319587628866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,227,352,613,159,420],"beta":{"interval_sums":[75042,72989,73305,70866,77165,66813],"interval_residues":[158,421,737,614,737,421],"display_cycle":[158,421,737,614,737,421],"intervals":[{"from_index":122,"to_index":316,"sum":75042,"residue":158},{"from_index":316,"to_index":510,"sum":72989,"residue":421},{"from_index":510,"to_index":704,"sum":73305,"residue":737},{"from_index":704,"to_index":898,"sum":70866,"residue":614},{"from_index":898,"to_index":1092,"sum":77165,"residue":737},{"from_index":1092,"to_index":122,"sum":66813,"residue":421}],"minimal_cycle":[158,421,737,614,737,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":158,"start_interval_clock_positions":[122,316],"circle_positions":772,"cycle_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":[123,317,511,705,899,1093],"clock_positions":[123,317,511,705,899,1093],"native_values":[710,641,517,62,517,641],"rotation_degrees":38.04123711340206,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,641,517,62,517,641],"beta":{"interval_sums":[74559,72700,73401,70963,77068,66717],"interval_residues":[447,132,61,711,640,325],"display_cycle":[447,132,61,711,640,325],"intervals":[{"from_index":123,"to_index":317,"sum":74559,"residue":447},{"from_index":317,"to_index":511,"sum":72700,"residue":132},{"from_index":511,"to_index":705,"sum":73401,"residue":61},{"from_index":705,"to_index":899,"sum":70963,"residue":711},{"from_index":899,"to_index":1093,"sum":77068,"residue":640},{"from_index":1093,"to_index":123,"sum":66717,"residue":325}],"minimal_cycle":[447,132,61,711,640,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":447,"start_interval_clock_positions":[123,317],"circle_positions":772,"cycle_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":[124,318,512,706,900,1094],"clock_positions":[124,318,512,706,900,1094],"native_values":[483,96,97,675,676,289],"rotation_degrees":38.350515463917525,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,96,97,675,676,289],"beta":{"interval_sums":[74717,73121,73366,70805,77033,67138],"interval_residues":[605,553,26,553,605,746],"display_cycle":[605,553,26,553,605,746],"intervals":[{"from_index":124,"to_index":318,"sum":74717,"residue":605},{"from_index":318,"to_index":512,"sum":73121,"residue":553},{"from_index":512,"to_index":706,"sum":73366,"residue":26},{"from_index":706,"to_index":900,"sum":70805,"residue":553},{"from_index":900,"to_index":1094,"sum":77033,"residue":605},{"from_index":1094,"to_index":124,"sum":67138,"residue":746}],"minimal_cycle":[605,553,26,553,605,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":605,"start_interval_clock_positions":[124,318],"circle_positions":772,"cycle_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":[125,319,513,707,901,1095],"clock_positions":[125,319,513,707,901,1095],"native_values":[421,737,614,737,421,158],"rotation_degrees":38.65979381443299,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,737,614,737,421,158],"beta":{"interval_sums":[74392,72481,73427,70744,76901,67463],"interval_residues":[280,685,87,492,473,299],"display_cycle":[280,685,87,492,473,299],"intervals":[{"from_index":125,"to_index":319,"sum":74392,"residue":280},{"from_index":319,"to_index":513,"sum":72481,"residue":685},{"from_index":513,"to_index":707,"sum":73427,"residue":87},{"from_index":707,"to_index":901,"sum":70744,"residue":492},{"from_index":901,"to_index":1095,"sum":76901,"residue":473},{"from_index":1095,"to_index":125,"sum":67463,"residue":299}],"minimal_cycle":[280,685,87,492,473,299],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[125,319],"circle_positions":772,"cycle_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":[126,320,514,708,902,1096],"clock_positions":[126,320,514,708,902,1096],"native_values":[132,61,711,640,325,447],"rotation_degrees":38.96907216494845,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,61,711,640,325,447],"beta":{"interval_sums":[74997,73034,73453,70525,76734,67437],"interval_residues":[113,466,113,273,306,273],"display_cycle":[113,466,113,273,306,273],"intervals":[{"from_index":126,"to_index":320,"sum":74997,"residue":113},{"from_index":320,"to_index":514,"sum":73034,"residue":466},{"from_index":514,"to_index":708,"sum":73453,"residue":113},{"from_index":708,"to_index":902,"sum":70525,"residue":273},{"from_index":902,"to_index":1096,"sum":76734,"residue":306},{"from_index":1096,"to_index":126,"sum":67437,"residue":273}],"minimal_cycle":[113,466,113,273,306,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":113,"start_interval_clock_positions":[126,320],"circle_positions":772,"cycle_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":[127,321,515,709,903,1097],"clock_positions":[127,321,515,709,903,1097],"native_values":[553,26,553,605,746,605],"rotation_degrees":39.27835051546392,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,26,553,605,746,605],"beta":{"interval_sums":[74505,73719,73540,70245,76435,66964],"interval_residues":[393,379,200,765,7,572],"display_cycle":[393,379,200,765,7,572],"intervals":[{"from_index":127,"to_index":321,"sum":74505,"residue":393},{"from_index":321,"to_index":515,"sum":73719,"residue":379},{"from_index":515,"to_index":709,"sum":73540,"residue":200},{"from_index":709,"to_index":903,"sum":70245,"residue":765},{"from_index":903,"to_index":1097,"sum":76435,"residue":7},{"from_index":1097,"to_index":127,"sum":66964,"residue":572}],"minimal_cycle":[393,379,200,765,7,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[127,321],"circle_positions":772,"cycle_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":[128,322,516,710,904,1098],"clock_positions":[128,322,516,710,904,1098],"native_values":[685,87,492,473,299,280],"rotation_degrees":39.58762886597938,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,87,492,473,299,280],"beta":{"interval_sums":[73846,74185,73653,70518,76741,67237],"interval_residues":[506,73,313,266,313,73],"display_cycle":[506,73,313,266,313,73],"intervals":[{"from_index":128,"to_index":322,"sum":73846,"residue":506},{"from_index":322,"to_index":516,"sum":74185,"residue":73},{"from_index":516,"to_index":710,"sum":73653,"residue":313},{"from_index":710,"to_index":904,"sum":70518,"residue":266},{"from_index":904,"to_index":1098,"sum":76741,"residue":313},{"from_index":1098,"to_index":128,"sum":67237,"residue":73}],"minimal_cycle":[506,73,313,266,313,73],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":506,"start_interval_clock_positions":[128,322],"circle_positions":772,"cycle_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":[129,323,517,711,905,1099],"clock_positions":[129,323,517,711,905,1099],"native_values":[466,113,273,306,273,113],"rotation_degrees":39.896907216494846,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[466,113,273,306,273,113],"beta":{"interval_sums":[73467,74564,73853,70511,76748,67809],"interval_residues":[127,452,513,259,320,645],"display_cycle":[127,452,513,259,320,645],"intervals":[{"from_index":129,"to_index":323,"sum":73467,"residue":127},{"from_index":323,"to_index":517,"sum":74564,"residue":452},{"from_index":517,"to_index":711,"sum":73853,"residue":513},{"from_index":711,"to_index":905,"sum":70511,"residue":259},{"from_index":905,"to_index":1099,"sum":76748,"residue":320},{"from_index":1099,"to_index":129,"sum":67809,"residue":645}],"minimal_cycle":[127,452,513,259,320,645],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[129,323],"circle_positions":772,"cycle_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":[130,324,518,712,906,1100],"clock_positions":[130,324,518,712,906,1100],"native_values":[379,200,765,7,572,393],"rotation_degrees":40.20618556701031,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[379,200,765,7,572,393],"beta":{"interval_sums":[73201,74637,73394,70777,76289,67882],"interval_residues":[633,525,54,525,633,718],"display_cycle":[633,525,54,525,633,718],"intervals":[{"from_index":130,"to_index":324,"sum":73201,"residue":633},{"from_index":324,"to_index":518,"sum":74637,"residue":525},{"from_index":518,"to_index":712,"sum":73394,"residue":54},{"from_index":712,"to_index":906,"sum":70777,"residue":525},{"from_index":906,"to_index":1100,"sum":76289,"residue":633},{"from_index":1100,"to_index":130,"sum":67882,"residue":718}],"minimal_cycle":[633,525,54,525,633,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":633,"start_interval_clock_positions":[130,324],"circle_positions":772,"cycle_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":[131,325,519,713,907,1101],"clock_positions":[131,325,519,713,907,1101],"native_values":[73,313,266,313,73,506],"rotation_degrees":40.51546391752577,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,313,266,313,73,506],"beta":{"interval_sums":[73328,75089,73135,71036,76609,67755],"interval_residues":[760,205,567,12,181,591],"display_cycle":[760,205,567,12,181,591],"intervals":[{"from_index":131,"to_index":325,"sum":73328,"residue":760},{"from_index":325,"to_index":519,"sum":75089,"residue":205},{"from_index":519,"to_index":713,"sum":73135,"residue":567},{"from_index":713,"to_index":907,"sum":71036,"residue":12},{"from_index":907,"to_index":1101,"sum":76609,"residue":181},{"from_index":1101,"to_index":131,"sum":67755,"residue":591}],"minimal_cycle":[760,205,567,12,181,591],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[131,325],"circle_positions":772,"cycle_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":[132,326,520,714,908,1102],"clock_positions":[132,326,520,714,908,1102],"native_values":[452,513,259,320,645,127],"rotation_degrees":40.824742268041234,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,513,259,320,645,127],"beta":{"interval_sums":[73189,74842,73189,70789,76470,67701],"interval_residues":[621,730,621,537,42,537],"display_cycle":[621,730,621,537,42,537],"intervals":[{"from_index":132,"to_index":326,"sum":73189,"residue":621},{"from_index":326,"to_index":520,"sum":74842,"residue":730},{"from_index":520,"to_index":714,"sum":73189,"residue":621},{"from_index":714,"to_index":908,"sum":70789,"residue":537},{"from_index":908,"to_index":1102,"sum":76470,"residue":42},{"from_index":1102,"to_index":132,"sum":67701,"residue":537}],"minimal_cycle":[621,730,621,537,42,537],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":621,"start_interval_clock_positions":[132,326],"circle_positions":772,"cycle_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":[133,327,521,715,909,1103],"clock_positions":[133,327,521,715,909,1103],"native_values":[525,54,525,633,718,633],"rotation_degrees":41.134020618556704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[525,54,525,633,718,633],"beta":{"interval_sums":[73177,75047,72984,70801,75879,67520],"interval_residues":[609,163,416,549,223,356],"display_cycle":[609,163,416,549,223,356],"intervals":[{"from_index":133,"to_index":327,"sum":73177,"residue":609},{"from_index":327,"to_index":521,"sum":75047,"residue":163},{"from_index":521,"to_index":715,"sum":72984,"residue":416},{"from_index":715,"to_index":909,"sum":70801,"residue":549},{"from_index":909,"to_index":1103,"sum":75879,"residue":223},{"from_index":1103,"to_index":133,"sum":67520,"residue":356}],"minimal_cycle":[609,163,416,549,223,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":609,"start_interval_clock_positions":[133,327],"circle_positions":772,"cycle_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":[134,328,522,716,910,1104],"clock_positions":[134,328,522,716,910,1104],"native_values":[205,567,12,181,591,760],"rotation_degrees":41.44329896907217,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,567,12,181,591,760],"beta":{"interval_sums":[73026,75005,73605,71338,75921,67285],"interval_residues":[458,121,265,314,265,121],"display_cycle":[458,121,265,314,265,121],"intervals":[{"from_index":134,"to_index":328,"sum":73026,"residue":458},{"from_index":328,"to_index":522,"sum":75005,"residue":121},{"from_index":522,"to_index":716,"sum":73605,"residue":265},{"from_index":716,"to_index":910,"sum":71338,"residue":314},{"from_index":910,"to_index":1104,"sum":75921,"residue":265},{"from_index":1104,"to_index":134,"sum":67285,"residue":121}],"minimal_cycle":[458,121,265,314,265,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[134,328],"circle_positions":772,"cycle_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":[135,329,523,717,911,1105],"clock_positions":[135,329,523,717,911,1105],"native_values":[730,621,537,42,537,621],"rotation_degrees":41.75257731958763,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[730,621,537,42,537,621],"beta":{"interval_sums":[72863,74396,73249,71887,76144,66869],"interval_residues":[295,284,681,91,488,477],"display_cycle":[295,284,681,91,488,477],"intervals":[{"from_index":135,"to_index":329,"sum":72863,"residue":295},{"from_index":329,"to_index":523,"sum":74396,"residue":284},{"from_index":523,"to_index":717,"sum":73249,"residue":681},{"from_index":717,"to_index":911,"sum":71887,"residue":91},{"from_index":911,"to_index":1105,"sum":76144,"residue":488},{"from_index":1105,"to_index":135,"sum":66869,"residue":477}],"minimal_cycle":[295,284,681,91,488,477],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":295,"start_interval_clock_positions":[135,329],"circle_positions":772,"cycle_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":[136,330,524,718,912,1106],"clock_positions":[136,330,524,718,912,1106],"native_values":[163,416,549,223,356,609],"rotation_degrees":42.06185567010309,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,416,549,223,356,609],"beta":{"interval_sums":[73321,74517,72742,72201,76409,66990],"interval_residues":[753,405,174,405,753,598],"display_cycle":[753,405,174,405,753,598],"intervals":[{"from_index":136,"to_index":330,"sum":73321,"residue":753},{"from_index":330,"to_index":524,"sum":74517,"residue":405},{"from_index":524,"to_index":718,"sum":72742,"residue":174},{"from_index":718,"to_index":912,"sum":72201,"residue":405},{"from_index":912,"to_index":1106,"sum":76409,"residue":753},{"from_index":1106,"to_index":136,"sum":66990,"residue":598}],"minimal_cycle":[753,405,174,405,753,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":753,"start_interval_clock_positions":[136,330],"circle_positions":772,"cycle_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":[137,331,525,719,913,1107],"clock_positions":[137,331,525,719,913,1107],"native_values":[121,265,314,265,121,458],"rotation_degrees":42.371134020618555,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[121,265,314,265,121,458],"beta":{"interval_sums":[73616,74801,72651,72292,76897,66695],"interval_residues":[276,689,83,496,469,303],"display_cycle":[276,689,83,496,469,303],"intervals":[{"from_index":137,"to_index":331,"sum":73616,"residue":276},{"from_index":331,"to_index":525,"sum":74801,"residue":689},{"from_index":525,"to_index":719,"sum":72651,"residue":83},{"from_index":719,"to_index":913,"sum":72292,"residue":496},{"from_index":913,"to_index":1107,"sum":76897,"residue":469},{"from_index":1107,"to_index":137,"sum":66695,"residue":303}],"minimal_cycle":[276,689,83,496,469,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":276,"start_interval_clock_positions":[137,331],"circle_positions":772,"cycle_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":[138,332,526,720,914,1108],"clock_positions":[138,332,526,720,914,1108],"native_values":[284,681,91,488,477,295],"rotation_degrees":42.68041237113402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,681,91,488,477,295],"beta":{"interval_sums":[73597,74434,72825,71925,76878,66521],"interval_residues":[257,322,257,129,450,129],"display_cycle":[257,322,257,129,450,129],"intervals":[{"from_index":138,"to_index":332,"sum":73597,"residue":257},{"from_index":332,"to_index":526,"sum":74434,"residue":322},{"from_index":526,"to_index":720,"sum":72825,"residue":257},{"from_index":720,"to_index":914,"sum":71925,"residue":129},{"from_index":914,"to_index":1108,"sum":76878,"residue":450},{"from_index":1108,"to_index":138,"sum":66521,"residue":129}],"minimal_cycle":[257,322,257,129,450,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":257,"start_interval_clock_positions":[138,332],"circle_positions":772,"cycle_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":[139,333,527,721,915,1109],"clock_positions":[139,333,527,721,915,1109],"native_values":[405,174,405,753,598,753],"rotation_degrees":42.98969072164948,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,174,405,753,598,753],"beta":{"interval_sums":[73873,74351,72908,71649,76575,66052],"interval_residues":[533,239,340,625,147,432],"display_cycle":[533,239,340,625,147,432],"intervals":[{"from_index":139,"to_index":333,"sum":73873,"residue":533},{"from_index":333,"to_index":527,"sum":74351,"residue":239},{"from_index":527,"to_index":721,"sum":72908,"residue":340},{"from_index":721,"to_index":915,"sum":71649,"residue":625},{"from_index":915,"to_index":1109,"sum":76575,"residue":147},{"from_index":1109,"to_index":139,"sum":66052,"residue":432}],"minimal_cycle":[533,239,340,625,147,432],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":533,"start_interval_clock_positions":[139,333],"circle_positions":772,"cycle_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":[140,334,528,722,916,1110],"clock_positions":[140,334,528,722,916,1110],"native_values":[689,83,496,469,303,276],"rotation_degrees":43.29896907216495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,83,496,469,303,276],"beta":{"interval_sums":[73358,74673,73165,71778,77025,66181],"interval_residues":[18,561,597,754,597,561],"display_cycle":[18,561,597,754,597,561],"intervals":[{"from_index":140,"to_index":334,"sum":73358,"residue":18},{"from_index":334,"to_index":528,"sum":74673,"residue":561},{"from_index":528,"to_index":722,"sum":73165,"residue":597},{"from_index":722,"to_index":916,"sum":71778,"residue":754},{"from_index":916,"to_index":1110,"sum":77025,"residue":597},{"from_index":1110,"to_index":140,"sum":66181,"residue":561}],"minimal_cycle":[18,561,597,754,597,561],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[140,334],"circle_positions":772,"cycle_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":[141,335,529,723,917,1111],"clock_positions":[141,335,529,723,917,1111],"native_values":[322,257,129,450,129,257],"rotation_degrees":43.608247422680414,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,257,129,450,129,257],"beta":{"interval_sums":[73119,74912,73505,71631,77172,66613],"interval_residues":[551,28,165,607,744,221],"display_cycle":[551,28,165,607,744,221],"intervals":[{"from_index":141,"to_index":335,"sum":73119,"residue":551},{"from_index":335,"to_index":529,"sum":74912,"residue":28},{"from_index":529,"to_index":723,"sum":73505,"residue":165},{"from_index":723,"to_index":917,"sum":71631,"residue":607},{"from_index":917,"to_index":1111,"sum":77172,"residue":744},{"from_index":1111,"to_index":141,"sum":66613,"residue":221}],"minimal_cycle":[551,28,165,607,744,221],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":551,"start_interval_clock_positions":[141,335],"circle_positions":772,"cycle_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":[142,336,530,724,918,1112],"clock_positions":[142,336,530,724,918,1112],"native_values":[239,340,625,147,432,533],"rotation_degrees":43.91752577319588,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,340,625,147,432,533],"beta":{"interval_sums":[73137,74701,73330,71613,76997,66402],"interval_residues":[569,589,762,589,569,10],"display_cycle":[569,589,762,589,569,10],"intervals":[{"from_index":142,"to_index":336,"sum":73137,"residue":569},{"from_index":336,"to_index":530,"sum":74701,"residue":589},{"from_index":530,"to_index":724,"sum":73330,"residue":762},{"from_index":724,"to_index":918,"sum":71613,"residue":589},{"from_index":918,"to_index":1112,"sum":76997,"residue":569},{"from_index":1112,"to_index":142,"sum":66402,"residue":10}],"minimal_cycle":[569,589,762,589,569,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":569,"start_interval_clock_positions":[142,336],"circle_positions":772,"cycle_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":[143,337,531,725,919,1113],"clock_positions":[143,337,531,725,919,1113],"native_values":[561,597,754,597,561,18],"rotation_degrees":44.22680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,597,754,597,561,18],"beta":{"interval_sums":[72916,74729,72723,71448,76969,66623],"interval_residues":[348,617,155,424,541,231],"display_cycle":[348,617,155,424,541,231],"intervals":[{"from_index":143,"to_index":337,"sum":72916,"residue":348},{"from_index":337,"to_index":531,"sum":74729,"residue":617},{"from_index":531,"to_index":725,"sum":72723,"residue":155},{"from_index":725,"to_index":919,"sum":71448,"residue":424},{"from_index":919,"to_index":1113,"sum":76969,"residue":541},{"from_index":1113,"to_index":143,"sum":66623,"residue":231}],"minimal_cycle":[348,617,155,424,541,231],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[143,337],"circle_positions":772,"cycle_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":[144,338,532,726,920,1114],"clock_positions":[144,338,532,726,920,1114],"native_values":[28,165,607,744,221,551],"rotation_degrees":44.5360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[28,165,607,744,221,551],"beta":{"interval_sums":[73485,75318,72713,71265,76766,66633],"interval_residues":[145,434,145,241,338,241],"display_cycle":[145,434,145,241,338,241],"intervals":[{"from_index":144,"to_index":338,"sum":73485,"residue":145},{"from_index":338,"to_index":532,"sum":75318,"residue":434},{"from_index":532,"to_index":726,"sum":72713,"residue":145},{"from_index":726,"to_index":920,"sum":71265,"residue":241},{"from_index":920,"to_index":1114,"sum":76766,"residue":338},{"from_index":1114,"to_index":144,"sum":66633,"residue":241}],"minimal_cycle":[145,434,145,241,338,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":145,"start_interval_clock_positions":[144,338],"circle_positions":772,"cycle_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":[145,339,533,727,921,1115],"clock_positions":[145,339,533,727,921,1115],"native_values":[589,762,589,569,10,569],"rotation_degrees":44.845360824742265,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,762,589,569,10,569],"beta":{"interval_sums":[73061,75163,72868,70917,77307,66092],"interval_residues":[493,279,300,665,107,472],"display_cycle":[493,279,300,665,107,472],"intervals":[{"from_index":145,"to_index":339,"sum":73061,"residue":493},{"from_index":339,"to_index":533,"sum":75163,"residue":279},{"from_index":533,"to_index":727,"sum":72868,"residue":300},{"from_index":727,"to_index":921,"sum":70917,"residue":665},{"from_index":921,"to_index":1115,"sum":77307,"residue":107},{"from_index":1115,"to_index":145,"sum":66092,"residue":472}],"minimal_cycle":[493,279,300,665,107,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":493,"start_interval_clock_positions":[145,339],"circle_positions":772,"cycle_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":[146,340,534,728,922,1116],"clock_positions":[146,340,534,728,922,1116],"native_values":[617,155,424,541,231,348],"rotation_degrees":45.154639175257735,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,155,424,541,231,348],"beta":{"interval_sums":[73206,75597,73013,70386,77645,66333],"interval_residues":[638,713,445,134,445,713],"display_cycle":[638,713,445,134,445,713],"intervals":[{"from_index":146,"to_index":340,"sum":73206,"residue":638},{"from_index":340,"to_index":534,"sum":75597,"residue":713},{"from_index":534,"to_index":728,"sum":73013,"residue":445},{"from_index":728,"to_index":922,"sum":70386,"residue":134},{"from_index":922,"to_index":1116,"sum":77645,"residue":445},{"from_index":1116,"to_index":146,"sum":66333,"residue":713}],"minimal_cycle":[638,713,445,134,445,713],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[146,340],"circle_positions":772,"cycle_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":[147,341,535,729,923,1117],"clock_positions":[147,341,535,729,923,1117],"native_values":[434,145,241,338,241,145],"rotation_degrees":45.4639175257732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[434,145,241,338,241,145],"beta":{"interval_sums":[72927,75876,73313,70279,77752,66805],"interval_residues":[359,220,745,27,552,413],"display_cycle":[359,220,745,27,552,413],"intervals":[{"from_index":147,"to_index":341,"sum":72927,"residue":359},{"from_index":341,"to_index":535,"sum":75876,"residue":220},{"from_index":535,"to_index":729,"sum":73313,"residue":745},{"from_index":729,"to_index":923,"sum":70279,"residue":27},{"from_index":923,"to_index":1117,"sum":77752,"residue":552},{"from_index":1117,"to_index":147,"sum":66805,"residue":413}],"minimal_cycle":[359,220,745,27,552,413],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":359,"start_interval_clock_positions":[147,341],"circle_positions":772,"cycle_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":[148,342,536,730,924,1118],"clock_positions":[148,342,536,730,924,1118],"native_values":[279,300,665,107,472,493],"rotation_degrees":45.77319587628866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,300,665,107,472,493],"beta":{"interval_sums":[72793,75817,72986,70413,77425,66746],"interval_residues":[225,161,418,161,225,354],"display_cycle":[225,161,418,161,225,354],"intervals":[{"from_index":148,"to_index":342,"sum":72793,"residue":225},{"from_index":342,"to_index":536,"sum":75817,"residue":161},{"from_index":536,"to_index":730,"sum":72986,"residue":418},{"from_index":730,"to_index":924,"sum":70413,"residue":161},{"from_index":924,"to_index":1118,"sum":77425,"residue":225},{"from_index":1118,"to_index":148,"sum":66746,"residue":354}],"minimal_cycle":[225,161,418,161,225,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[148,342],"circle_positions":772,"cycle_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":[149,343,537,731,925,1119],"clock_positions":[149,343,537,731,925,1119],"native_values":[713,445,134,445,713,638],"rotation_degrees":46.08247422680412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[713,445,134,445,713,638],"beta":{"interval_sums":[72380,76037,72959,70440,77205,66387],"interval_residues":[584,381,391,188,5,767],"display_cycle":[584,381,391,188,5,767],"intervals":[{"from_index":149,"to_index":343,"sum":72380,"residue":584},{"from_index":343,"to_index":537,"sum":76037,"residue":381},{"from_index":537,"to_index":731,"sum":72959,"residue":391},{"from_index":731,"to_index":925,"sum":70440,"residue":188},{"from_index":925,"to_index":1119,"sum":77205,"residue":5},{"from_index":1119,"to_index":149,"sum":66387,"residue":767}],"minimal_cycle":[584,381,391,188,5,767],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[149,343],"circle_positions":772,"cycle_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":[150,344,538,732,926,1120],"clock_positions":[150,344,538,732,926,1120],"native_values":[220,745,27,552,413,359],"rotation_degrees":46.391752577319586,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[220,745,27,552,413,359],"beta":{"interval_sums":[72605,75426,73377,70601,77430,66741],"interval_residues":[37,542,37,349,230,349],"display_cycle":[37,542,37,349,230,349],"intervals":[{"from_index":150,"to_index":344,"sum":72605,"residue":37},{"from_index":344,"to_index":538,"sum":75426,"residue":542},{"from_index":538,"to_index":732,"sum":73377,"residue":37},{"from_index":732,"to_index":926,"sum":70601,"residue":349},{"from_index":926,"to_index":1120,"sum":77430,"residue":230},{"from_index":1120,"to_index":150,"sum":66741,"residue":349}],"minimal_cycle":[37,542,37,349,230,349],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":37,"start_interval_clock_positions":[150,344],"circle_positions":772,"cycle_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":[151,345,539,733,927,1121],"clock_positions":[151,345,539,733,927,1121],"native_values":[161,418,161,225,354,225],"rotation_degrees":46.70103092783505,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,418,161,225,354,225],"beta":{"interval_sums":[73189,75035,73768,70789,77435,66736],"interval_residues":[621,151,428,537,235,344],"display_cycle":[621,151,428,537,235,344],"intervals":[{"from_index":151,"to_index":345,"sum":73189,"residue":621},{"from_index":345,"to_index":539,"sum":75035,"residue":151},{"from_index":539,"to_index":733,"sum":73768,"residue":428},{"from_index":733,"to_index":927,"sum":70789,"residue":537},{"from_index":927,"to_index":1121,"sum":77435,"residue":235},{"from_index":1121,"to_index":151,"sum":66736,"residue":344}],"minimal_cycle":[621,151,428,537,235,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":621,"start_interval_clock_positions":[151,345],"circle_positions":772,"cycle_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":[152,346,540,734,928,1122],"clock_positions":[152,346,540,734,928,1122],"native_values":[381,391,188,5,767,584],"rotation_degrees":47.01030927835052,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,391,188,5,767,584],"beta":{"interval_sums":[73226,74805,73805,71138,76893,66313],"interval_residues":[658,693,465,114,465,693],"display_cycle":[658,693,465,114,465,693],"intervals":[{"from_index":152,"to_index":346,"sum":73226,"residue":658},{"from_index":346,"to_index":540,"sum":74805,"residue":693},{"from_index":540,"to_index":734,"sum":73805,"residue":465},{"from_index":734,"to_index":928,"sum":71138,"residue":114},{"from_index":928,"to_index":1122,"sum":76893,"residue":465},{"from_index":1122,"to_index":152,"sum":66313,"residue":693}],"minimal_cycle":[658,693,465,114,465,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[152,346],"circle_positions":772,"cycle_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":[153,347,541,735,929,1123],"clock_positions":[153,347,541,735,929,1123],"native_values":[542,37,349,230,349,37],"rotation_degrees":47.31958762886598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[542,37,349,230,349,37],"beta":{"interval_sums":[73075,74956,73461,71675,77128,66657],"interval_residues":[507,72,121,651,700,265],"display_cycle":[507,72,121,651,700,265],"intervals":[{"from_index":153,"to_index":347,"sum":73075,"residue":507},{"from_index":347,"to_index":541,"sum":74956,"residue":72},{"from_index":541,"to_index":735,"sum":73461,"residue":121},{"from_index":735,"to_index":929,"sum":71675,"residue":651},{"from_index":929,"to_index":1123,"sum":77128,"residue":700},{"from_index":1123,"to_index":153,"sum":66657,"residue":265}],"minimal_cycle":[507,72,121,651,700,265],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[153,347],"circle_positions":772,"cycle_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":[154,348,542,736,930,1124],"clock_positions":[154,348,542,736,930,1124],"native_values":[151,428,537,235,344,621],"rotation_degrees":47.628865979381445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,428,537,235,344,621],"beta":{"interval_sums":[72961,74877,73154,71789,76821,66578],"interval_residues":[393,765,586,765,393,186],"display_cycle":[393,765,586,765,393,186],"intervals":[{"from_index":154,"to_index":348,"sum":72961,"residue":393},{"from_index":348,"to_index":542,"sum":74877,"residue":765},{"from_index":542,"to_index":736,"sum":73154,"residue":586},{"from_index":736,"to_index":930,"sum":71789,"residue":765},{"from_index":930,"to_index":1124,"sum":76821,"residue":393},{"from_index":1124,"to_index":154,"sum":66578,"residue":186}],"minimal_cycle":[393,765,586,765,393,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[154,348],"circle_positions":772,"cycle_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":[155,349,543,737,931,1125],"clock_positions":[155,349,543,737,931,1125],"native_values":[693,465,114,465,693,658],"rotation_degrees":47.93814432989691,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,465,114,465,693,658],"beta":{"interval_sums":[72696,74949,73275,71668,76749,66071],"interval_residues":[128,65,707,644,321,451],"display_cycle":[128,65,707,644,321,451],"intervals":[{"from_index":155,"to_index":349,"sum":72696,"residue":128},{"from_index":349,"to_index":543,"sum":74949,"residue":65},{"from_index":543,"to_index":737,"sum":73275,"residue":707},{"from_index":737,"to_index":931,"sum":71668,"residue":644},{"from_index":931,"to_index":1125,"sum":76749,"residue":321},{"from_index":1125,"to_index":155,"sum":66071,"residue":451}],"minimal_cycle":[128,65,707,644,321,451],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[155,349],"circle_positions":772,"cycle_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":[156,350,544,738,932,1126],"clock_positions":[156,350,544,738,932,1126],"native_values":[72,121,651,700,265,507],"rotation_degrees":48.24742268041237,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,121,651,700,265,507],"beta":{"interval_sums":[73089,74942,73089,71661,77142,66257],"interval_residues":[521,58,521,637,714,637],"display_cycle":[521,58,521,637,714,637],"intervals":[{"from_index":156,"to_index":350,"sum":73089,"residue":521},{"from_index":350,"to_index":544,"sum":74942,"residue":58},{"from_index":544,"to_index":738,"sum":73089,"residue":521},{"from_index":738,"to_index":932,"sum":71661,"residue":637},{"from_index":932,"to_index":1126,"sum":77142,"residue":714},{"from_index":1126,"to_index":156,"sum":66257,"residue":637}],"minimal_cycle":[521,58,521,637,714,637],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":521,"start_interval_clock_positions":[156,350],"circle_positions":772,"cycle_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":[157,351,545,739,933,1127],"clock_positions":[157,351,545,739,933,1127],"native_values":[765,586,765,393,186,393],"rotation_degrees":48.55670103092783,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,586,765,393,186,393],"beta":{"interval_sums":[72445,75007,73024,71533,77463,65936],"interval_residues":[649,123,456,509,263,316],"display_cycle":[649,123,456,509,263,316],"intervals":[{"from_index":157,"to_index":351,"sum":72445,"residue":649},{"from_index":351,"to_index":545,"sum":75007,"residue":123},{"from_index":545,"to_index":739,"sum":73024,"residue":456},{"from_index":739,"to_index":933,"sum":71533,"residue":509},{"from_index":933,"to_index":1127,"sum":77463,"residue":263},{"from_index":1127,"to_index":157,"sum":65936,"residue":316}],"minimal_cycle":[649,123,456,509,263,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":649,"start_interval_clock_positions":[157,351],"circle_positions":772,"cycle_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":[158,352,546,740,934,1128],"clock_positions":[158,352,546,740,934,1128],"native_values":[65,707,644,321,451,128],"rotation_degrees":48.865979381443296,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,707,644,321,451,128],"beta":{"interval_sums":[72966,75065,72773,71398,77405,66573],"interval_residues":[398,181,205,374,205,181],"display_cycle":[398,181,205,374,205,181],"intervals":[{"from_index":158,"to_index":352,"sum":72966,"residue":398},{"from_index":352,"to_index":546,"sum":75065,"residue":181},{"from_index":546,"to_index":740,"sum":72773,"residue":205},{"from_index":740,"to_index":934,"sum":71398,"residue":374},{"from_index":934,"to_index":1128,"sum":77405,"residue":205},{"from_index":1128,"to_index":158,"sum":66573,"residue":181}],"minimal_cycle":[398,181,205,374,205,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":398,"start_interval_clock_positions":[158,352],"circle_positions":772,"cycle_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":[159,353,547,741,935,1129],"clock_positions":[159,353,547,741,935,1129],"native_values":[58,521,637,714,637,521],"rotation_degrees":49.175257731958766,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[58,521,637,714,637,521],"beta":{"interval_sums":[73615,75188,72457,71135,76896,66117],"interval_residues":[275,304,661,111,468,497],"display_cycle":[275,304,661,111,468,497],"intervals":[{"from_index":159,"to_index":353,"sum":73615,"residue":275},{"from_index":353,"to_index":547,"sum":75188,"residue":304},{"from_index":547,"to_index":741,"sum":72457,"residue":661},{"from_index":741,"to_index":935,"sum":71135,"residue":111},{"from_index":935,"to_index":1129,"sum":76896,"residue":468},{"from_index":1129,"to_index":159,"sum":66117,"residue":497}],"minimal_cycle":[275,304,661,111,468,497],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":275,"start_interval_clock_positions":[159,353],"circle_positions":772,"cycle_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":[160,354,548,742,936,1130],"clock_positions":[160,354,548,742,936,1130],"native_values":[123,456,509,263,316,649],"rotation_degrees":49.48453608247423,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,456,509,263,316,649],"beta":{"interval_sums":[74013,75369,72662,71509,77101,65526],"interval_residues":[673,485,94,485,673,678],"display_cycle":[673,485,94,485,673,678],"intervals":[{"from_index":160,"to_index":354,"sum":74013,"residue":673},{"from_index":354,"to_index":548,"sum":75369,"residue":485},{"from_index":548,"to_index":742,"sum":72662,"residue":94},{"from_index":742,"to_index":936,"sum":71509,"residue":485},{"from_index":936,"to_index":1130,"sum":77101,"residue":673},{"from_index":1130,"to_index":160,"sum":65526,"residue":678}],"minimal_cycle":[673,485,94,485,673,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":673,"start_interval_clock_positions":[160,354],"circle_positions":772,"cycle_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":[161,355,549,743,937,1131],"clock_positions":[161,355,549,743,937,1131],"native_values":[181,205,374,205,181,398],"rotation_degrees":49.79381443298969,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,205,374,205,181,398],"beta":{"interval_sums":[74288,75673,72551,71620,77569,65251],"interval_residues":[176,17,755,596,369,403],"display_cycle":[176,17,755,596,369,403],"intervals":[{"from_index":161,"to_index":355,"sum":74288,"residue":176},{"from_index":355,"to_index":549,"sum":75673,"residue":17},{"from_index":549,"to_index":743,"sum":72551,"residue":755},{"from_index":743,"to_index":937,"sum":71620,"residue":596},{"from_index":937,"to_index":1131,"sum":77569,"residue":369},{"from_index":1131,"to_index":161,"sum":65251,"residue":403}],"minimal_cycle":[176,17,755,596,369,403],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":176,"start_interval_clock_positions":[161,355],"circle_positions":772,"cycle_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":[162,356,550,744,938,1132],"clock_positions":[162,356,550,744,938,1132],"native_values":[304,661,111,468,497,275],"rotation_degrees":50.103092783505154,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,661,111,468,497,275],"beta":{"interval_sums":[74189,75386,72645,71333,77470,65157],"interval_residues":[77,502,77,309,270,309],"display_cycle":[77,502,77,309,270,309],"intervals":[{"from_index":162,"to_index":356,"sum":74189,"residue":77},{"from_index":356,"to_index":550,"sum":75386,"residue":502},{"from_index":550,"to_index":744,"sum":72645,"residue":77},{"from_index":744,"to_index":938,"sum":71333,"residue":309},{"from_index":938,"to_index":1132,"sum":77470,"residue":270},{"from_index":1132,"to_index":162,"sum":65157,"residue":309}],"minimal_cycle":[77,502,77,309,270,309],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":77,"start_interval_clock_positions":[162,356],"circle_positions":772,"cycle_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":[163,357,551,745,939,1133],"clock_positions":[163,357,551,745,939,1133],"native_values":[485,94,485,673,678,673],"rotation_degrees":50.41237113402062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,94,485,673,678,673],"beta":{"interval_sums":[74365,75403,72628,71157,77067,64788],"interval_residues":[253,519,60,133,639,712],"display_cycle":[253,519,60,133,639,712],"intervals":[{"from_index":163,"to_index":357,"sum":74365,"residue":253},{"from_index":357,"to_index":551,"sum":75403,"residue":519},{"from_index":551,"to_index":745,"sum":72628,"residue":60},{"from_index":745,"to_index":939,"sum":71157,"residue":133},{"from_index":939,"to_index":1133,"sum":77067,"residue":639},{"from_index":1133,"to_index":163,"sum":64788,"residue":712}],"minimal_cycle":[253,519,60,133,639,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":253,"start_interval_clock_positions":[163,357],"circle_positions":772,"cycle_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":[164,358,552,746,940,1134],"clock_positions":[164,358,552,746,940,1134],"native_values":[17,755,596,369,403,176],"rotation_degrees":50.72164948453608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,755,596,369,403,176],"beta":{"interval_sums":[74442,75133,72705,71466,77337,65097],"interval_residues":[330,249,137,442,137,249],"display_cycle":[330,249,137,442,137,249],"intervals":[{"from_index":164,"to_index":358,"sum":74442,"residue":330},{"from_index":358,"to_index":552,"sum":75133,"residue":249},{"from_index":552,"to_index":746,"sum":72705,"residue":137},{"from_index":746,"to_index":940,"sum":71466,"residue":442},{"from_index":940,"to_index":1134,"sum":77337,"residue":137},{"from_index":1134,"to_index":164,"sum":65097,"residue":249}],"minimal_cycle":[330,249,137,442,137,249],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[164,358],"circle_positions":772,"cycle_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":[165,359,553,747,941,1135],"clock_positions":[165,359,553,747,941,1135],"native_values":[502,77,309,270,309,77],"rotation_degrees":51.03092783505155,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[502,77,309,270,309,77],"beta":{"interval_sums":[74695,75652,72765,71599,77204,65037],"interval_residues":[583,768,197,575,4,189],"display_cycle":[583,768,197,575,4,189],"intervals":[{"from_index":165,"to_index":359,"sum":74695,"residue":583},{"from_index":359,"to_index":553,"sum":75652,"residue":768},{"from_index":553,"to_index":747,"sum":72765,"residue":197},{"from_index":747,"to_index":941,"sum":71599,"residue":575},{"from_index":941,"to_index":1135,"sum":77204,"residue":4},{"from_index":1135,"to_index":165,"sum":65037,"residue":189}],"minimal_cycle":[583,768,197,575,4,189],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":583,"start_interval_clock_positions":[165,359],"circle_positions":772,"cycle_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":[166,360,554,748,942,1136],"clock_positions":[166,360,554,748,942,1136],"native_values":[519,60,133,639,712,253],"rotation_degrees":51.34020618556701,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,60,133,639,712,253],"beta":{"interval_sums":[74253,75901,72902,71269,76569,65286],"interval_residues":[141,245,334,245,141,438],"display_cycle":[141,245,334,245,141,438],"intervals":[{"from_index":166,"to_index":360,"sum":74253,"residue":141},{"from_index":360,"to_index":554,"sum":75901,"residue":245},{"from_index":554,"to_index":748,"sum":72902,"residue":334},{"from_index":748,"to_index":942,"sum":71269,"residue":245},{"from_index":942,"to_index":1136,"sum":76569,"residue":141},{"from_index":1136,"to_index":166,"sum":65286,"residue":438}],"minimal_cycle":[141,245,334,245,141,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[166,360],"circle_positions":772,"cycle_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":[167,361,555,749,943,1137],"clock_positions":[167,361,555,749,943,1137],"native_values":[249,137,442,137,249,330],"rotation_degrees":51.649484536082475,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,137,442,137,249,330],"beta":{"interval_sums":[74064,75897,73099,71844,76573,65475],"interval_residues":[724,241,531,48,145,627],"display_cycle":[724,241,531,48,145,627],"intervals":[{"from_index":167,"to_index":361,"sum":74064,"residue":724},{"from_index":361,"to_index":555,"sum":75897,"residue":241},{"from_index":555,"to_index":749,"sum":73099,"residue":531},{"from_index":749,"to_index":943,"sum":71844,"residue":48},{"from_index":943,"to_index":1137,"sum":76573,"residue":145},{"from_index":1137,"to_index":167,"sum":65475,"residue":627}],"minimal_cycle":[724,241,531,48,145,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":724,"start_interval_clock_positions":[167,361],"circle_positions":772,"cycle_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":[168,362,556,750,944,1138],"clock_positions":[168,362,556,750,944,1138],"native_values":[768,197,575,4,189,583],"rotation_degrees":51.95876288659794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,197,575,4,189,583],"beta":{"interval_sums":[73433,76142,72661,72089,76714,65141],"interval_residues":[93,486,93,293,286,293],"display_cycle":[93,486,93,293,286,293],"intervals":[{"from_index":168,"to_index":362,"sum":73433,"residue":93},{"from_index":362,"to_index":556,"sum":76142,"residue":486},{"from_index":556,"to_index":750,"sum":72661,"residue":93},{"from_index":750,"to_index":944,"sum":72089,"residue":293},{"from_index":944,"to_index":1138,"sum":76714,"residue":286},{"from_index":1138,"to_index":168,"sum":65141,"residue":293}],"minimal_cycle":[93,486,93,293,286,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[168,362],"circle_positions":772,"cycle_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":[169,363,557,751,945,1139],"clock_positions":[169,363,557,751,945,1139],"native_values":[245,334,245,141,438,141],"rotation_degrees":52.2680412371134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,334,245,141,438,141],"beta":{"interval_sums":[73385,76383,72420,72137,76859,65768],"interval_residues":[45,727,624,341,431,148],"display_cycle":[45,727,624,341,431,148],"intervals":[{"from_index":169,"to_index":363,"sum":73385,"residue":45},{"from_index":363,"to_index":557,"sum":76383,"residue":727},{"from_index":557,"to_index":751,"sum":72420,"residue":624},{"from_index":751,"to_index":945,"sum":72137,"residue":341},{"from_index":945,"to_index":1139,"sum":76859,"residue":431},{"from_index":1139,"to_index":169,"sum":65768,"residue":148}],"minimal_cycle":[45,727,624,341,431,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":45,"start_interval_clock_positions":[169,363],"circle_positions":772,"cycle_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":[170,364,558,752,946,1140],"clock_positions":[170,364,558,752,946,1140],"native_values":[241,531,48,145,627,724],"rotation_degrees":52.577319587628864,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,531,48,145,627,724],"beta":{"interval_sums":[73478,76097,72513,72430,76373,65289],"interval_residues":[138,441,717,634,717,441],"display_cycle":[138,441,717,634,717,441],"intervals":[{"from_index":170,"to_index":364,"sum":73478,"residue":138},{"from_index":364,"to_index":558,"sum":76097,"residue":441},{"from_index":558,"to_index":752,"sum":72513,"residue":717},{"from_index":752,"to_index":946,"sum":72430,"residue":634},{"from_index":946,"to_index":1140,"sum":76373,"residue":717},{"from_index":1140,"to_index":170,"sum":65289,"residue":441}],"minimal_cycle":[138,441,717,634,717,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[170,364],"circle_positions":772,"cycle_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":[171,365,559,753,947,1141],"clock_positions":[171,365,559,753,947,1141],"native_values":[486,93,293,286,293,93],"rotation_degrees":52.88659793814433,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[486,93,293,286,293,93],"beta":{"interval_sums":[73523,76052,72365,72771,76804,65437],"interval_residues":[183,396,569,203,376,589],"display_cycle":[183,396,569,203,376,589],"intervals":[{"from_index":171,"to_index":365,"sum":73523,"residue":183},{"from_index":365,"to_index":559,"sum":76052,"residue":396},{"from_index":559,"to_index":753,"sum":72365,"residue":569},{"from_index":753,"to_index":947,"sum":72771,"residue":203},{"from_index":947,"to_index":1141,"sum":76804,"residue":376},{"from_index":1141,"to_index":171,"sum":65437,"residue":589}],"minimal_cycle":[183,396,569,203,376,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[171,365],"circle_positions":772,"cycle_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":[172,366,560,754,948,1142],"clock_positions":[172,366,560,754,948,1142],"native_values":[727,624,341,431,148,45],"rotation_degrees":53.1958762886598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[727,624,341,431,148,45],"beta":{"interval_sums":[72889,75721,72310,72633,76749,65878],"interval_residues":[321,65,514,65,321,258],"display_cycle":[321,65,514,65,321,258],"intervals":[{"from_index":172,"to_index":366,"sum":72889,"residue":321},{"from_index":366,"to_index":560,"sum":75721,"residue":65},{"from_index":560,"to_index":754,"sum":72310,"residue":514},{"from_index":754,"to_index":948,"sum":72633,"residue":65},{"from_index":948,"to_index":1142,"sum":76749,"residue":321},{"from_index":1142,"to_index":172,"sum":65878,"residue":258}],"minimal_cycle":[321,65,514,65,321,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":321,"start_interval_clock_positions":[172,366],"circle_positions":772,"cycle_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":[173,367,561,755,949,1143],"clock_positions":[173,367,561,755,949,1143],"native_values":[441,717,634,717,441,138],"rotation_degrees":53.50515463917526,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,717,634,717,441,138],"beta":{"interval_sums":[73072,75345,72107,72064,76353,66467],"interval_residues":[504,461,311,268,697,75],"display_cycle":[504,461,311,268,697,75],"intervals":[{"from_index":173,"to_index":367,"sum":73072,"residue":504},{"from_index":367,"to_index":561,"sum":75345,"residue":461},{"from_index":561,"to_index":755,"sum":72107,"residue":311},{"from_index":755,"to_index":949,"sum":72064,"residue":268},{"from_index":949,"to_index":1143,"sum":76353,"residue":697},{"from_index":1143,"to_index":173,"sum":66467,"residue":75}],"minimal_cycle":[504,461,311,268,697,75],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[173,367],"circle_positions":772,"cycle_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":[174,368,562,756,950,1144],"clock_positions":[174,368,562,756,950,1144],"native_values":[396,569,203,376,589,183],"rotation_degrees":53.81443298969072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[396,569,203,376,589,183],"beta":{"interval_sums":[73393,75410,72621,72129,75902,66725],"interval_residues":[53,526,53,333,246,333],"display_cycle":[53,526,53,333,246,333],"intervals":[{"from_index":174,"to_index":368,"sum":73393,"residue":53},{"from_index":368,"to_index":562,"sum":75410,"residue":526},{"from_index":562,"to_index":756,"sum":72621,"residue":53},{"from_index":756,"to_index":950,"sum":72129,"residue":333},{"from_index":950,"to_index":1144,"sum":75902,"residue":246},{"from_index":1144,"to_index":174,"sum":66725,"residue":333}],"minimal_cycle":[53,526,53,333,246,333],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":53,"start_interval_clock_positions":[174,368],"circle_positions":772,"cycle_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":[175,369,563,757,951,1145],"clock_positions":[175,369,563,757,951,1145],"native_values":[65,514,65,321,258,321],"rotation_degrees":54.123711340206185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,514,65,321,258,321],"beta":{"interval_sums":[73897,75099,72932,72397,75827,66800],"interval_residues":[557,215,364,601,171,408],"display_cycle":[557,215,364,601,171,408],"intervals":[{"from_index":175,"to_index":369,"sum":73897,"residue":557},{"from_index":369,"to_index":563,"sum":75099,"residue":215},{"from_index":563,"to_index":757,"sum":72932,"residue":364},{"from_index":757,"to_index":951,"sum":72397,"residue":601},{"from_index":951,"to_index":1145,"sum":75827,"residue":171},{"from_index":1145,"to_index":175,"sum":66800,"residue":408}],"minimal_cycle":[557,215,364,601,171,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":557,"start_interval_clock_positions":[175,369],"circle_positions":772,"cycle_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":[176,370,564,758,952,1146],"clock_positions":[176,370,564,758,952,1146],"native_values":[461,311,268,697,75,504],"rotation_degrees":54.43298969072165,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,311,268,697,75,504],"beta":{"interval_sums":[73950,74853,72985,71958,76073,66361],"interval_residues":[610,741,417,162,417,741],"display_cycle":[610,741,417,162,417,741],"intervals":[{"from_index":176,"to_index":370,"sum":73950,"residue":610},{"from_index":370,"to_index":564,"sum":74853,"residue":741},{"from_index":564,"to_index":758,"sum":72985,"residue":417},{"from_index":758,"to_index":952,"sum":71958,"residue":162},{"from_index":952,"to_index":1146,"sum":76073,"residue":417},{"from_index":1146,"to_index":176,"sum":66361,"residue":741}],"minimal_cycle":[610,741,417,162,417,741],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[176,370],"circle_positions":772,"cycle_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":[177,371,565,759,953,1147],"clock_positions":[177,371,565,759,953,1147],"native_values":[526,53,333,246,333,53],"rotation_degrees":54.74226804123711,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[526,53,333,246,333,53],"beta":{"interval_sums":[73735,75068,73349,71787,76244,66769],"interval_residues":[395,184,9,763,588,377],"display_cycle":[395,184,9,763,588,377],"intervals":[{"from_index":177,"to_index":371,"sum":73735,"residue":395},{"from_index":371,"to_index":565,"sum":75068,"residue":184},{"from_index":565,"to_index":759,"sum":73349,"residue":9},{"from_index":759,"to_index":953,"sum":71787,"residue":763},{"from_index":953,"to_index":1147,"sum":76244,"residue":588},{"from_index":1147,"to_index":177,"sum":66769,"residue":377}],"minimal_cycle":[395,184,9,763,588,377],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[177,371],"circle_positions":772,"cycle_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":[178,372,566,760,954,1148],"clock_positions":[178,372,566,760,954,1148],"native_values":[215,364,601,171,408,557],"rotation_degrees":55.05154639175258,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,364,601,171,408,557],"beta":{"interval_sums":[73573,75037,72994,71949,75889,66738],"interval_residues":[233,153,426,153,233,346],"display_cycle":[233,153,426,153,233,346],"intervals":[{"from_index":178,"to_index":372,"sum":73573,"residue":233},{"from_index":372,"to_index":566,"sum":75037,"residue":153},{"from_index":566,"to_index":760,"sum":72994,"residue":426},{"from_index":760,"to_index":954,"sum":71949,"residue":153},{"from_index":954,"to_index":1148,"sum":75889,"residue":233},{"from_index":1148,"to_index":178,"sum":66738,"residue":346}],"minimal_cycle":[233,153,426,153,233,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[178,372],"circle_positions":772,"cycle_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":[179,373,567,761,955,1149],"clock_positions":[179,373,567,761,955,1149],"native_values":[741,417,162,417,741,610],"rotation_degrees":55.36082474226804,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,417,162,417,741,610],"beta":{"interval_sums":[73196,75221,73003,71940,75705,66343],"interval_residues":[628,337,435,144,49,723],"display_cycle":[628,337,435,144,49,723],"intervals":[{"from_index":179,"to_index":373,"sum":73196,"residue":628},{"from_index":373,"to_index":567,"sum":75221,"residue":337},{"from_index":567,"to_index":761,"sum":73003,"residue":435},{"from_index":761,"to_index":955,"sum":71940,"residue":144},{"from_index":955,"to_index":1149,"sum":75705,"residue":49},{"from_index":1149,"to_index":179,"sum":66343,"residue":723}],"minimal_cycle":[628,337,435,144,49,723],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[179,373],"circle_positions":772,"cycle_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":[180,374,568,762,956,1150],"clock_positions":[180,374,568,762,956,1150],"native_values":[184,9,763,588,377,395],"rotation_degrees":55.670103092783506,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,9,763,588,377,395],"beta":{"interval_sums":[73429,75374,72657,72093,75938,66689],"interval_residues":[89,490,89,297,282,297],"display_cycle":[89,490,89,297,282,297],"intervals":[{"from_index":180,"to_index":374,"sum":73429,"residue":89},{"from_index":374,"to_index":568,"sum":75374,"residue":490},{"from_index":568,"to_index":762,"sum":72657,"residue":89},{"from_index":762,"to_index":956,"sum":72093,"residue":297},{"from_index":956,"to_index":1150,"sum":75938,"residue":282},{"from_index":1150,"to_index":180,"sum":66689,"residue":297}],"minimal_cycle":[89,490,89,297,282,297],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":89,"start_interval_clock_positions":[180,374],"circle_positions":772,"cycle_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":[181,375,569,763,957,1151],"clock_positions":[181,375,569,763,957,1151],"native_values":[153,426,153,233,346,233],"rotation_degrees":55.97938144329897,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,426,153,233,346,233],"beta":{"interval_sums":[73285,75711,73092,72237,75987,66640],"interval_residues":[717,55,524,441,331,248],"display_cycle":[717,55,524,441,331,248],"intervals":[{"from_index":181,"to_index":375,"sum":73285,"residue":717},{"from_index":375,"to_index":569,"sum":75711,"residue":55},{"from_index":569,"to_index":763,"sum":73092,"residue":524},{"from_index":763,"to_index":957,"sum":72237,"residue":441},{"from_index":957,"to_index":1151,"sum":75987,"residue":331},{"from_index":1151,"to_index":181,"sum":66640,"residue":248}],"minimal_cycle":[717,55,524,441,331,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[181,375],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-182","shape":"Hexagon","alpha_indices":[182,376,570,764,958,1152],"clock_positions":[182,376,570,764,958,1152],"native_values":[337,435,144,49,723,628],"rotation_degrees":56.28865979381443,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,435,144,49,723,628],"beta":{"interval_sums":[73374,75429,73181,72534,75497,66165],"interval_residues":[34,545,613,738,613,545],"display_cycle":[34,545,613,738,613,545],"intervals":[{"from_index":182,"to_index":376,"sum":73374,"residue":34},{"from_index":376,"to_index":570,"sum":75429,"residue":545},{"from_index":570,"to_index":764,"sum":73181,"residue":613},{"from_index":764,"to_index":958,"sum":72534,"residue":738},{"from_index":958,"to_index":1152,"sum":75497,"residue":613},{"from_index":1152,"to_index":182,"sum":66165,"residue":545}],"minimal_cycle":[34,545,613,738,613,545],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[182,376],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-183","shape":"Hexagon","alpha_indices":[183,377,571,765,959,1153],"clock_positions":[183,377,571,765,959,1153],"native_values":[490,89,297,282,297,89],"rotation_degrees":56.597938144329895,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[490,89,297,282,297,89],"beta":{"interval_sums":[73319,75484,72933,72975,75828,66413],"interval_residues":[751,600,365,407,172,21],"display_cycle":[751,600,365,407,172,21],"intervals":[{"from_index":183,"to_index":377,"sum":73319,"residue":751},{"from_index":377,"to_index":571,"sum":75484,"residue":600},{"from_index":571,"to_index":765,"sum":72933,"residue":365},{"from_index":765,"to_index":959,"sum":72975,"residue":407},{"from_index":959,"to_index":1153,"sum":75828,"residue":172},{"from_index":1153,"to_index":183,"sum":66413,"residue":21}],"minimal_cycle":[751,600,365,407,172,21],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":751,"start_interval_clock_positions":[183,377],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-184","shape":"Hexagon","alpha_indices":[184,378,572,766,960,1154],"clock_positions":[184,378,572,766,960,1154],"native_values":[55,524,441,331,248,717],"rotation_degrees":56.90721649484536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,524,441,331,248,717],"beta":{"interval_sums":[73353,75257,72774,72941,75669,66186],"interval_residues":[13,373,206,373,13,566],"display_cycle":[13,373,206,373,13,566],"intervals":[{"from_index":184,"to_index":378,"sum":73353,"residue":13},{"from_index":378,"to_index":572,"sum":75257,"residue":373},{"from_index":572,"to_index":766,"sum":72774,"residue":206},{"from_index":766,"to_index":960,"sum":72941,"residue":373},{"from_index":960,"to_index":1154,"sum":75669,"residue":13},{"from_index":1154,"to_index":184,"sum":66186,"residue":566}],"minimal_cycle":[13,373,206,373,13,566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[184,378],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-185","shape":"Hexagon","alpha_indices":[185,379,573,767,961,1155],"clock_positions":[185,379,573,767,961,1155],"native_values":[545,613,738,613,545,34],"rotation_degrees":57.21649484536083,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,613,738,613,545,34],"beta":{"interval_sums":[73332,75085,72367,72576,75841,66207],"interval_residues":[764,201,571,8,185,587],"display_cycle":[764,201,571,8,185,587],"intervals":[{"from_index":185,"to_index":379,"sum":73332,"residue":764},{"from_index":379,"to_index":573,"sum":75085,"residue":201},{"from_index":573,"to_index":767,"sum":72367,"residue":571},{"from_index":767,"to_index":961,"sum":72576,"residue":8},{"from_index":961,"to_index":1155,"sum":75841,"residue":185},{"from_index":1155,"to_index":185,"sum":66207,"residue":587}],"minimal_cycle":[764,201,571,8,185,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[185,379],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-186","shape":"Hexagon","alpha_indices":[186,380,574,768,962,1156],"clock_positions":[186,380,574,768,962,1156],"native_values":[600,365,407,172,21,751],"rotation_degrees":57.52577319587629,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[600,365,407,172,21,751],"beta":{"interval_sums":[73345,75458,72573,72949,75854,66001],"interval_residues":[5,574,5,381,198,381],"display_cycle":[5,574,5,381,198,381],"intervals":[{"from_index":186,"to_index":380,"sum":73345,"residue":5},{"from_index":380,"to_index":574,"sum":75458,"residue":574},{"from_index":574,"to_index":768,"sum":72573,"residue":5},{"from_index":768,"to_index":962,"sum":72949,"residue":381},{"from_index":962,"to_index":1156,"sum":75854,"residue":198},{"from_index":1156,"to_index":186,"sum":66001,"residue":381}],"minimal_cycle":[5,574,5,381,198,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[186,380],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-187","shape":"Hexagon","alpha_indices":[187,381,575,769,963,1157],"clock_positions":[187,381,575,769,963,1157],"native_values":[373,206,373,13,566,13],"rotation_degrees":57.83505154639175,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[373,206,373,13,566,13],"beta":{"interval_sums":[73337,75659,72372,72957,76039,66588],"interval_residues":[769,3,576,389,383,196],"display_cycle":[769,3,576,389,383,196],"intervals":[{"from_index":187,"to_index":381,"sum":73337,"residue":769},{"from_index":381,"to_index":575,"sum":75659,"residue":3},{"from_index":575,"to_index":769,"sum":72372,"residue":576},{"from_index":769,"to_index":963,"sum":72957,"residue":389},{"from_index":963,"to_index":1157,"sum":76039,"residue":383},{"from_index":1157,"to_index":187,"sum":66588,"residue":196}],"minimal_cycle":[769,3,576,389,383,196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":769,"start_interval_clock_positions":[187,381],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-188","shape":"Hexagon","alpha_indices":[188,382,576,770,964,1158],"clock_positions":[188,382,576,770,964,1158],"native_values":[201,571,8,185,587,764],"rotation_degrees":58.144329896907216,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,571,8,185,587,764],"beta":{"interval_sums":[73342,75461,72377,73338,75465,66197],"interval_residues":[2,577,581,770,581,577],"display_cycle":[2,577,581,770,581,577],"intervals":[{"from_index":188,"to_index":382,"sum":73342,"residue":2},{"from_index":382,"to_index":576,"sum":75461,"residue":577},{"from_index":576,"to_index":770,"sum":72377,"residue":581},{"from_index":770,"to_index":964,"sum":73338,"residue":770},{"from_index":964,"to_index":1158,"sum":75465,"residue":581},{"from_index":1158,"to_index":188,"sum":66197,"residue":577}],"minimal_cycle":[2,577,581,770,581,577],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[188,382],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-189","shape":"Hexagon","alpha_indices":[189,383,577,771,965,1159],"clock_positions":[189,383,577,771,965,1159],"native_values":[574,5,381,198,381,5],"rotation_degrees":58.45360824742268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[574,5,381,198,381,5],"beta":{"interval_sums":[73339,75464,72181,73727,75848,66393],"interval_residues":[771,580,385,387,192,1],"display_cycle":[771,580,385,387,192,1],"intervals":[{"from_index":189,"to_index":383,"sum":73339,"residue":771},{"from_index":383,"to_index":577,"sum":75464,"residue":580},{"from_index":577,"to_index":771,"sum":72181,"residue":385},{"from_index":771,"to_index":965,"sum":73727,"residue":387},{"from_index":965,"to_index":1159,"sum":75848,"residue":192},{"from_index":1159,"to_index":189,"sum":66393,"residue":1}],"minimal_cycle":[771,580,385,387,192,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":771,"start_interval_clock_positions":[189,383],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-190","shape":"Hexagon","alpha_indices":[190,384,578,772,966,1160],"clock_positions":[190,384,578,772,966,1160],"native_values":[3,576,389,383,196,769],"rotation_degrees":58.76288659793814,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,576,389,383,196,769],"beta":{"interval_sums":[73341,75269,71990,73725,75657,66198],"interval_residues":[1,385,194,385,1,578],"display_cycle":[1,385,194,385,1,578],"intervals":[{"from_index":190,"to_index":384,"sum":73341,"residue":1},{"from_index":384,"to_index":578,"sum":75269,"residue":385},{"from_index":578,"to_index":772,"sum":71990,"residue":194},{"from_index":772,"to_index":966,"sum":73725,"residue":385},{"from_index":966,"to_index":1160,"sum":75657,"residue":1},{"from_index":1160,"to_index":190,"sum":66198,"residue":578}],"minimal_cycle":[1,385,194,385,1,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[190,384],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-191","shape":"Hexagon","alpha_indices":[191,385,579,773,967,1161],"clock_positions":[191,385,579,773,967,1161],"native_values":[577,581,770,581,577,2],"rotation_degrees":59.07216494845361,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,581,770,581,577,2],"beta":{"interval_sums":[73340,75077,71603,73340,75849,66199],"interval_residues":[0,193,579,0,193,579],"display_cycle":[772,193,579,772,193,579],"intervals":[{"from_index":191,"to_index":385,"sum":73340,"residue":0},{"from_index":385,"to_index":579,"sum":75077,"residue":193},{"from_index":579,"to_index":773,"sum":71603,"residue":579},{"from_index":773,"to_index":967,"sum":73340,"residue":0},{"from_index":967,"to_index":1161,"sum":75849,"residue":193},{"from_index":1161,"to_index":191,"sum":66199,"residue":579}],"minimal_cycle":[0,193,579],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":772,"start_interval_clock_positions":[191,385],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-192","shape":"Hexagon","alpha_indices":[192,386,580,774,968,1162],"clock_positions":[192,386,580,774,968,1162],"native_values":[580,385,387,192,1,771],"rotation_degrees":59.381443298969074,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[580,385,387,192,1,771],"beta":{"interval_sums":[73341,75462,71797,73725,75850,66005],"interval_residues":[1,578,1,385,194,385],"display_cycle":[1,578,1,385,194,385],"intervals":[{"from_index":192,"to_index":386,"sum":73341,"residue":1},{"from_index":386,"to_index":580,"sum":75462,"residue":578},{"from_index":580,"to_index":774,"sum":71797,"residue":1},{"from_index":774,"to_index":968,"sum":73725,"residue":385},{"from_index":968,"to_index":1162,"sum":75850,"residue":194},{"from_index":1162,"to_index":192,"sum":66005,"residue":385}],"minimal_cycle":[1,578,1,385,194,385],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[192,386],"circle_positions":772,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-193","shape":"Hexagon","alpha_indices":[193,387,581,775,969,1163],"clock_positions":[193,387,581,775,969,1163],"native_values":[385,194,385,1,578,1],"rotation_degrees":59.69072164948454,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,194,385,1,578,1],"beta":{"interval_sums":[73341,75655,71604,73725,76043,66584],"interval_residues":[1,771,580,385,387,192],"display_cycle":[1,771,580,385,387,192],"intervals":[{"from_index":193,"to_index":387,"sum":73341,"residue":1},{"from_index":387,"to_index":581,"sum":75655,"residue":771},{"from_index":581,"to_index":775,"sum":71604,"residue":580},{"from_index":775,"to_index":969,"sum":73725,"residue":385},{"from_index":969,"to_index":1163,"sum":76043,"residue":387},{"from_index":1163,"to_index":193,"sum":66584,"residue":192}],"minimal_cycle":[1,771,580,385,387,192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[193,387],"circle_positions":772,"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":[772,193,579,772,193,579],"rotation_degrees":0.0,"reasons":["Repeating native-value pattern"],"python_status":"Passed","wolfram_status":"Pending","significance":"Not yet assessed"},{"formation_id":"6-nodes-offset-97","shape":"Hexagon","values":[193,386,193,193,386,193],"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":[0,388,970,582,194,776,0],"clock_positions":[1164,388,970,582,194,776,1164],"native_values":[772,579,579,772,193,193,772],"reduced_m9_values":[9,3,3,9,4,4,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":194,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,194,388,582,776,970],"clock_positions":[1164,194,388,582,776,970],"native_values":[772,193,579,772,193,579],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1164,"value":772},{"alpha_index":194,"clock_position":194,"value":193},{"alpha_index":388,"clock_position":388,"value":579},{"alpha_index":582,"clock_position":582,"value":772},{"alpha_index":776,"clock_position":776,"value":193},{"alpha_index":970,"clock_position":970,"value":579}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,195,389,583,777,971],"clock_positions":[1,195,389,583,777,971],"native_values":[1,578,1,385,194,385],"rotation_degrees":0.30927835051546393,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":195,"clock_position":195,"value":578},{"alpha_index":389,"clock_position":389,"value":1},{"alpha_index":583,"clock_position":583,"value":385},{"alpha_index":777,"clock_position":777,"value":194},{"alpha_index":971,"clock_position":971,"value":385}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,196,390,584,778,972],"clock_positions":[2,196,390,584,778,972],"native_values":[1,771,580,385,387,192],"rotation_degrees":0.6185567010309279,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":196,"clock_position":196,"value":771},{"alpha_index":390,"clock_position":390,"value":580},{"alpha_index":584,"clock_position":584,"value":385},{"alpha_index":778,"clock_position":778,"value":387},{"alpha_index":972,"clock_position":972,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,197,391,585,779,973],"clock_positions":[3,197,391,585,779,973],"native_values":[2,577,581,770,581,577],"rotation_degrees":0.9278350515463918,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":197,"clock_position":197,"value":577},{"alpha_index":391,"clock_position":391,"value":581},{"alpha_index":585,"clock_position":585,"value":770},{"alpha_index":779,"clock_position":779,"value":581},{"alpha_index":973,"clock_position":973,"value":577}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,198,392,586,780,974],"clock_positions":[4,198,392,586,780,974],"native_values":[3,576,389,383,196,769],"rotation_degrees":1.2371134020618557,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":576},{"alpha_index":392,"clock_position":392,"value":389},{"alpha_index":586,"clock_position":586,"value":383},{"alpha_index":780,"clock_position":780,"value":196},{"alpha_index":974,"clock_position":974,"value":769}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,199,393,587,781,975],"clock_positions":[5,199,393,587,781,975],"native_values":[5,381,198,381,5,574],"rotation_degrees":1.5463917525773196,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":199,"clock_position":199,"value":381},{"alpha_index":393,"clock_position":393,"value":198},{"alpha_index":587,"clock_position":587,"value":381},{"alpha_index":781,"clock_position":781,"value":5},{"alpha_index":975,"clock_position":975,"value":574}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,200,394,588,782,976],"clock_positions":[6,200,394,588,782,976],"native_values":[8,185,587,764,201,571],"rotation_degrees":1.8556701030927836,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":200,"clock_position":200,"value":185},{"alpha_index":394,"clock_position":394,"value":587},{"alpha_index":588,"clock_position":588,"value":764},{"alpha_index":782,"clock_position":782,"value":201},{"alpha_index":976,"clock_position":976,"value":571}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,201,395,589,783,977],"clock_positions":[7,201,395,589,783,977],"native_values":[13,566,13,373,206,373],"rotation_degrees":2.1649484536082473,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":201,"clock_position":201,"value":566},{"alpha_index":395,"clock_position":395,"value":13},{"alpha_index":589,"clock_position":589,"value":373},{"alpha_index":783,"clock_position":783,"value":206},{"alpha_index":977,"clock_position":977,"value":373}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,202,396,590,784,978],"clock_positions":[8,202,396,590,784,978],"native_values":[21,751,600,365,407,172],"rotation_degrees":2.4742268041237114,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":202,"clock_position":202,"value":751},{"alpha_index":396,"clock_position":396,"value":600},{"alpha_index":590,"clock_position":590,"value":365},{"alpha_index":784,"clock_position":784,"value":407},{"alpha_index":978,"clock_position":978,"value":172}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,203,397,591,785,979],"clock_positions":[9,203,397,591,785,979],"native_values":[34,545,613,738,613,545],"rotation_degrees":2.783505154639175,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":203,"clock_position":203,"value":545},{"alpha_index":397,"clock_position":397,"value":613},{"alpha_index":591,"clock_position":591,"value":738},{"alpha_index":785,"clock_position":785,"value":613},{"alpha_index":979,"clock_position":979,"value":545}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,204,398,592,786,980],"clock_positions":[10,204,398,592,786,980],"native_values":[55,524,441,331,248,717],"rotation_degrees":3.0927835051546393,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":204,"clock_position":204,"value":524},{"alpha_index":398,"clock_position":398,"value":441},{"alpha_index":592,"clock_position":592,"value":331},{"alpha_index":786,"clock_position":786,"value":248},{"alpha_index":980,"clock_position":980,"value":717}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,205,399,593,787,981],"clock_positions":[11,205,399,593,787,981],"native_values":[89,297,282,297,89,490],"rotation_degrees":3.402061855670103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":205,"clock_position":205,"value":297},{"alpha_index":399,"clock_position":399,"value":282},{"alpha_index":593,"clock_position":593,"value":297},{"alpha_index":787,"clock_position":787,"value":89},{"alpha_index":981,"clock_position":981,"value":490}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,206,400,594,788,982],"clock_positions":[12,206,400,594,788,982],"native_values":[144,49,723,628,337,435],"rotation_degrees":3.711340206185567,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":206,"clock_position":206,"value":49},{"alpha_index":400,"clock_position":400,"value":723},{"alpha_index":594,"clock_position":594,"value":628},{"alpha_index":788,"clock_position":788,"value":337},{"alpha_index":982,"clock_position":982,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,207,401,595,789,983],"clock_positions":[13,207,401,595,789,983],"native_values":[233,346,233,153,426,153],"rotation_degrees":4.020618556701031,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":207,"clock_position":207,"value":346},{"alpha_index":401,"clock_position":401,"value":233},{"alpha_index":595,"clock_position":595,"value":153},{"alpha_index":789,"clock_position":789,"value":426},{"alpha_index":983,"clock_position":983,"value":153}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,208,402,596,790,984],"clock_positions":[14,208,402,596,790,984],"native_values":[377,395,184,9,763,588],"rotation_degrees":4.329896907216495,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":208,"clock_position":208,"value":395},{"alpha_index":402,"clock_position":402,"value":184},{"alpha_index":790,"clock_position":790,"value":763},{"alpha_index":984,"clock_position":984,"value":588}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,209,403,597,791,985],"clock_positions":[15,209,403,597,791,985],"native_values":[610,741,417,162,417,741],"rotation_degrees":4.639175257731959,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":209,"clock_position":209,"value":741},{"alpha_index":403,"clock_position":403,"value":417},{"alpha_index":597,"clock_position":597,"value":162},{"alpha_index":791,"clock_position":791,"value":417},{"alpha_index":985,"clock_position":985,"value":741}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,210,404,598,792,986],"clock_positions":[16,210,404,598,792,986],"native_values":[215,364,601,171,408,557],"rotation_degrees":4.948453608247423,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":215},{"alpha_index":210,"clock_position":210,"value":364},{"alpha_index":404,"clock_position":404,"value":601},{"alpha_index":598,"clock_position":598,"value":171},{"alpha_index":792,"clock_position":792,"value":408},{"alpha_index":986,"clock_position":986,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,211,405,599,793,987],"clock_positions":[17,211,405,599,793,987],"native_values":[53,333,246,333,53,526],"rotation_degrees":5.257731958762887,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":53},{"alpha_index":211,"clock_position":211,"value":333},{"alpha_index":405,"clock_position":405,"value":246},{"alpha_index":599,"clock_position":599,"value":333},{"alpha_index":793,"clock_position":793,"value":53},{"alpha_index":987,"clock_position":987,"value":526}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,212,406,600,794,988],"clock_positions":[18,212,406,600,794,988],"native_values":[268,697,75,504,461,311],"rotation_degrees":5.56701030927835,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":268},{"alpha_index":212,"clock_position":212,"value":697},{"alpha_index":406,"clock_position":406,"value":75},{"alpha_index":600,"clock_position":600,"value":504},{"alpha_index":794,"clock_position":794,"value":461},{"alpha_index":988,"clock_position":988,"value":311}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,213,407,601,795,989],"clock_positions":[19,213,407,601,795,989],"native_values":[321,258,321,65,514,65],"rotation_degrees":5.876288659793815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":321},{"alpha_index":213,"clock_position":213,"value":258},{"alpha_index":407,"clock_position":407,"value":321},{"alpha_index":601,"clock_position":601,"value":65},{"alpha_index":795,"clock_position":795,"value":514},{"alpha_index":989,"clock_position":989,"value":65}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,214,408,602,796,990],"clock_positions":[20,214,408,602,796,990],"native_values":[589,183,396,569,203,376],"rotation_degrees":6.185567010309279,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":589},{"alpha_index":214,"clock_position":214,"value":183},{"alpha_index":408,"clock_position":408,"value":396},{"alpha_index":602,"clock_position":602,"value":569},{"alpha_index":796,"clock_position":796,"value":203},{"alpha_index":990,"clock_position":990,"value":376}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,215,409,603,797,991],"clock_positions":[21,215,409,603,797,991],"native_values":[138,441,717,634,717,441],"rotation_degrees":6.494845360824742,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":138},{"alpha_index":215,"clock_position":215,"value":441},{"alpha_index":409,"clock_position":409,"value":717},{"alpha_index":603,"clock_position":603,"value":634},{"alpha_index":797,"clock_position":797,"value":717},{"alpha_index":991,"clock_position":991,"value":441}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,216,410,604,798,992],"clock_positions":[22,216,410,604,798,992],"native_values":[727,624,341,431,148,45],"rotation_degrees":6.804123711340206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":727},{"alpha_index":216,"clock_position":216,"value":624},{"alpha_index":410,"clock_position":410,"value":341},{"alpha_index":604,"clock_position":604,"value":431},{"alpha_index":798,"clock_position":798,"value":148},{"alpha_index":992,"clock_position":992,"value":45}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,217,411,605,799,993],"clock_positions":[23,217,411,605,799,993],"native_values":[93,293,286,293,93,486],"rotation_degrees":7.11340206185567,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":93},{"alpha_index":217,"clock_position":217,"value":293},{"alpha_index":411,"clock_position":411,"value":286},{"alpha_index":605,"clock_position":605,"value":293},{"alpha_index":799,"clock_position":799,"value":93},{"alpha_index":993,"clock_position":993,"value":486}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,218,412,606,800,994],"clock_positions":[24,218,412,606,800,994],"native_values":[48,145,627,724,241,531],"rotation_degrees":7.422680412371134,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":48},{"alpha_index":218,"clock_position":218,"value":145},{"alpha_index":412,"clock_position":412,"value":627},{"alpha_index":606,"clock_position":606,"value":724},{"alpha_index":800,"clock_position":800,"value":241},{"alpha_index":994,"clock_position":994,"value":531}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,219,413,607,801,995],"clock_positions":[25,219,413,607,801,995],"native_values":[141,438,141,245,334,245],"rotation_degrees":7.731958762886598,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":141},{"alpha_index":219,"clock_position":219,"value":438},{"alpha_index":413,"clock_position":413,"value":141},{"alpha_index":607,"clock_position":607,"value":245},{"alpha_index":801,"clock_position":801,"value":334},{"alpha_index":995,"clock_position":995,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,220,414,608,802,996],"clock_positions":[26,220,414,608,802,996],"native_values":[189,583,768,197,575,4],"rotation_degrees":8.041237113402062,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":189},{"alpha_index":220,"clock_position":220,"value":583},{"alpha_index":414,"clock_position":414,"value":768},{"alpha_index":608,"clock_position":608,"value":197},{"alpha_index":802,"clock_position":802,"value":575},{"alpha_index":996,"clock_position":996,"value":4}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,221,415,609,803,997],"clock_positions":[27,221,415,609,803,997],"native_values":[330,249,137,442,137,249],"rotation_degrees":8.350515463917526,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":330},{"alpha_index":221,"clock_position":221,"value":249},{"alpha_index":415,"clock_position":415,"value":137},{"alpha_index":609,"clock_position":609,"value":442},{"alpha_index":803,"clock_position":803,"value":137},{"alpha_index":997,"clock_position":997,"value":249}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,222,416,610,804,998],"clock_positions":[28,222,416,610,804,998],"native_values":[519,60,133,639,712,253],"rotation_degrees":8.65979381443299,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":519},{"alpha_index":222,"clock_position":222,"value":60},{"alpha_index":416,"clock_position":416,"value":133},{"alpha_index":610,"clock_position":610,"value":639},{"alpha_index":804,"clock_position":804,"value":712},{"alpha_index":998,"clock_position":998,"value":253}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,223,417,611,805,999],"clock_positions":[29,223,417,611,805,999],"native_values":[77,309,270,309,77,502],"rotation_degrees":8.969072164948454,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":77},{"alpha_index":223,"clock_position":223,"value":309},{"alpha_index":417,"clock_position":417,"value":270},{"alpha_index":611,"clock_position":611,"value":309},{"alpha_index":805,"clock_position":805,"value":77},{"alpha_index":999,"clock_position":999,"value":502}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,224,418,612,806,1000],"clock_positions":[30,224,418,612,806,1000],"native_values":[596,369,403,176,17,755],"rotation_degrees":9.278350515463918,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":596},{"alpha_index":224,"clock_position":224,"value":369},{"alpha_index":418,"clock_position":418,"value":403},{"alpha_index":612,"clock_position":612,"value":176},{"alpha_index":806,"clock_position":806,"value":17},{"alpha_index":1000,"clock_position":1000,"value":755}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,225,419,613,807,1001],"clock_positions":[31,225,419,613,807,1001],"native_values":[673,678,673,485,94,485],"rotation_degrees":9.587628865979381,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":673},{"alpha_index":225,"clock_position":225,"value":678},{"alpha_index":419,"clock_position":419,"value":673},{"alpha_index":613,"clock_position":613,"value":485},{"alpha_index":807,"clock_position":807,"value":94},{"alpha_index":1001,"clock_position":1001,"value":485}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,226,420,614,808,1002],"clock_positions":[32,226,420,614,808,1002],"native_values":[497,275,304,661,111,468],"rotation_degrees":9.896907216494846,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":497},{"alpha_index":226,"clock_position":226,"value":275},{"alpha_index":420,"clock_position":420,"value":304},{"alpha_index":614,"clock_position":614,"value":661},{"alpha_index":808,"clock_position":808,"value":111},{"alpha_index":1002,"clock_position":1002,"value":468}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,227,421,615,809,1003],"clock_positions":[33,227,421,615,809,1003],"native_values":[398,181,205,374,205,181],"rotation_degrees":10.206185567010309,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":398},{"alpha_index":227,"clock_position":227,"value":181},{"alpha_index":421,"clock_position":421,"value":205},{"alpha_index":615,"clock_position":615,"value":374},{"alpha_index":809,"clock_position":809,"value":205},{"alpha_index":1003,"clock_position":1003,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,228,422,616,810,1004],"clock_positions":[34,228,422,616,810,1004],"native_values":[123,456,509,263,316,649],"rotation_degrees":10.515463917525773,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":123},{"alpha_index":228,"clock_position":228,"value":456},{"alpha_index":422,"clock_position":422,"value":509},{"alpha_index":616,"clock_position":616,"value":263},{"alpha_index":810,"clock_position":810,"value":316},{"alpha_index":1004,"clock_position":1004,"value":649}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,229,423,617,811,1005],"clock_positions":[35,229,423,617,811,1005],"native_values":[521,637,714,637,521,58],"rotation_degrees":10.824742268041238,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":521},{"alpha_index":229,"clock_position":229,"value":637},{"alpha_index":423,"clock_position":423,"value":714},{"alpha_index":617,"clock_position":617,"value":637},{"alpha_index":811,"clock_position":811,"value":521},{"alpha_index":1005,"clock_position":1005,"value":58}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,230,424,618,812,1006],"clock_positions":[36,230,424,618,812,1006],"native_values":[644,321,451,128,65,707],"rotation_degrees":11.1340206185567,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":644},{"alpha_index":230,"clock_position":230,"value":321},{"alpha_index":424,"clock_position":424,"value":451},{"alpha_index":618,"clock_position":618,"value":128},{"alpha_index":812,"clock_position":812,"value":65},{"alpha_index":1006,"clock_position":1006,"value":707}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,231,425,619,813,1007],"clock_positions":[37,231,425,619,813,1007],"native_values":[393,186,393,765,586,765],"rotation_degrees":11.443298969072165,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":393},{"alpha_index":231,"clock_position":231,"value":186},{"alpha_index":425,"clock_position":425,"value":393},{"alpha_index":619,"clock_position":619,"value":765},{"alpha_index":813,"clock_position":813,"value":586},{"alpha_index":1007,"clock_position":1007,"value":765}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,232,426,620,814,1008],"clock_positions":[38,232,426,620,814,1008],"native_values":[265,507,72,121,651,700],"rotation_degrees":11.75257731958763,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":265},{"alpha_index":232,"clock_position":232,"value":507},{"alpha_index":426,"clock_position":426,"value":72},{"alpha_index":620,"clock_position":620,"value":121},{"alpha_index":814,"clock_position":814,"value":651},{"alpha_index":1008,"clock_position":1008,"value":700}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,233,427,621,815,1009],"clock_positions":[39,233,427,621,815,1009],"native_values":[658,693,465,114,465,693],"rotation_degrees":12.061855670103093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":658},{"alpha_index":233,"clock_position":233,"value":693},{"alpha_index":427,"clock_position":427,"value":465},{"alpha_index":621,"clock_position":621,"value":114},{"alpha_index":815,"clock_position":815,"value":465},{"alpha_index":1009,"clock_position":1009,"value":693}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,234,428,622,816,1010],"clock_positions":[40,234,428,622,816,1010],"native_values":[151,428,537,235,344,621],"rotation_degrees":12.371134020618557,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":151},{"alpha_index":234,"clock_position":234,"value":428},{"alpha_index":428,"clock_position":428,"value":537},{"alpha_index":622,"clock_position":622,"value":235},{"alpha_index":816,"clock_position":816,"value":344},{"alpha_index":1010,"clock_position":1010,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,235,429,623,817,1011],"clock_positions":[41,235,429,623,817,1011],"native_values":[37,349,230,349,37,542],"rotation_degrees":12.68041237113402,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":37},{"alpha_index":235,"clock_position":235,"value":349},{"alpha_index":429,"clock_position":429,"value":230},{"alpha_index":623,"clock_position":623,"value":349},{"alpha_index":817,"clock_position":817,"value":37},{"alpha_index":1011,"clock_position":1011,"value":542}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,236,430,624,818,1012],"clock_positions":[42,236,430,624,818,1012],"native_values":[188,5,767,584,381,391],"rotation_degrees":12.989690721649485,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":188},{"alpha_index":236,"clock_position":236,"value":5},{"alpha_index":430,"clock_position":430,"value":767},{"alpha_index":624,"clock_position":624,"value":584},{"alpha_index":818,"clock_position":818,"value":381},{"alpha_index":1012,"clock_position":1012,"value":391}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,237,431,625,819,1013],"clock_positions":[43,237,431,625,819,1013],"native_values":[225,354,225,161,418,161],"rotation_degrees":13.29896907216495,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":225},{"alpha_index":237,"clock_position":237,"value":354},{"alpha_index":431,"clock_position":431,"value":225},{"alpha_index":625,"clock_position":625,"value":161},{"alpha_index":819,"clock_position":819,"value":418},{"alpha_index":1013,"clock_position":1013,"value":161}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,238,432,626,820,1014],"clock_positions":[44,238,432,626,820,1014],"native_values":[413,359,220,745,27,552],"rotation_degrees":13.608247422680412,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":413},{"alpha_index":238,"clock_position":238,"value":359},{"alpha_index":432,"clock_position":432,"value":220},{"alpha_index":626,"clock_position":626,"value":745},{"alpha_index":820,"clock_position":820,"value":27},{"alpha_index":1014,"clock_position":1014,"value":552}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,239,433,627,821,1015],"clock_positions":[45,239,433,627,821,1015],"native_values":[638,713,445,134,445,713],"rotation_degrees":13.917525773195877,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":638},{"alpha_index":239,"clock_position":239,"value":713},{"alpha_index":433,"clock_position":433,"value":445},{"alpha_index":627,"clock_position":627,"value":134},{"alpha_index":821,"clock_position":821,"value":445},{"alpha_index":1015,"clock_position":1015,"value":713}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,240,434,628,822,1016],"clock_positions":[46,240,434,628,822,1016],"native_values":[279,300,665,107,472,493],"rotation_degrees":14.22680412371134,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":279},{"alpha_index":240,"clock_position":240,"value":300},{"alpha_index":434,"clock_position":434,"value":665},{"alpha_index":628,"clock_position":628,"value":107},{"alpha_index":822,"clock_position":822,"value":472},{"alpha_index":1016,"clock_position":1016,"value":493}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,241,435,629,823,1017],"clock_positions":[47,241,435,629,823,1017],"native_values":[145,241,338,241,145,434],"rotation_degrees":14.536082474226804,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":145},{"alpha_index":241,"clock_position":241,"value":241},{"alpha_index":435,"clock_position":435,"value":338},{"alpha_index":629,"clock_position":629,"value":241},{"alpha_index":823,"clock_position":823,"value":145},{"alpha_index":1017,"clock_position":1017,"value":434}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,242,436,630,824,1018],"clock_positions":[48,242,436,630,824,1018],"native_values":[424,541,231,348,617,155],"rotation_degrees":14.845360824742269,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":424},{"alpha_index":242,"clock_position":242,"value":541},{"alpha_index":436,"clock_position":436,"value":231},{"alpha_index":630,"clock_position":630,"value":348},{"alpha_index":824,"clock_position":824,"value":617},{"alpha_index":1018,"clock_position":1018,"value":155}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,243,437,631,825,1019],"clock_positions":[49,243,437,631,825,1019],"native_values":[569,10,569,589,762,589],"rotation_degrees":15.154639175257731,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":569},{"alpha_index":243,"clock_position":243,"value":10},{"alpha_index":437,"clock_position":437,"value":569},{"alpha_index":631,"clock_position":631,"value":589},{"alpha_index":825,"clock_position":825,"value":762},{"alpha_index":1019,"clock_position":1019,"value":589}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,244,438,632,826,1020],"clock_positions":[50,244,438,632,826,1020],"native_values":[221,551,28,165,607,744],"rotation_degrees":15.463917525773196,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":221},{"alpha_index":244,"clock_position":244,"value":551},{"alpha_index":438,"clock_position":438,"value":28},{"alpha_index":632,"clock_position":632,"value":165},{"alpha_index":826,"clock_position":826,"value":607},{"alpha_index":1020,"clock_position":1020,"value":744}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,245,439,633,827,1021],"clock_positions":[51,245,439,633,827,1021],"native_values":[18,561,597,754,597,561],"rotation_degrees":15.77319587628866,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":18},{"alpha_index":245,"clock_position":245,"value":561},{"alpha_index":439,"clock_position":439,"value":597},{"alpha_index":633,"clock_position":633,"value":754},{"alpha_index":827,"clock_position":827,"value":597},{"alpha_index":1021,"clock_position":1021,"value":561}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,246,440,634,828,1022],"clock_positions":[52,246,440,634,828,1022],"native_values":[239,340,625,147,432,533],"rotation_degrees":16.082474226804123,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":239},{"alpha_index":246,"clock_position":246,"value":340},{"alpha_index":440,"clock_position":440,"value":625},{"alpha_index":634,"clock_position":634,"value":147},{"alpha_index":828,"clock_position":828,"value":432},{"alpha_index":1022,"clock_position":1022,"value":533}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,247,441,635,829,1023],"clock_positions":[53,247,441,635,829,1023],"native_values":[257,129,450,129,257,322],"rotation_degrees":16.391752577319586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":257},{"alpha_index":247,"clock_position":247,"value":129},{"alpha_index":441,"clock_position":441,"value":450},{"alpha_index":635,"clock_position":635,"value":129},{"alpha_index":829,"clock_position":829,"value":257},{"alpha_index":1023,"clock_position":1023,"value":322}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,248,442,636,830,1024],"clock_positions":[54,248,442,636,830,1024],"native_values":[496,469,303,276,689,83],"rotation_degrees":16.701030927835053,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":496},{"alpha_index":248,"clock_position":248,"value":469},{"alpha_index":442,"clock_position":442,"value":303},{"alpha_index":636,"clock_position":636,"value":276},{"alpha_index":830,"clock_position":830,"value":689},{"alpha_index":1024,"clock_position":1024,"value":83}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,249,443,637,831,1025],"clock_positions":[55,249,443,637,831,1025],"native_values":[753,598,753,405,174,405],"rotation_degrees":17.010309278350515,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":753},{"alpha_index":249,"clock_position":249,"value":598},{"alpha_index":443,"clock_position":443,"value":753},{"alpha_index":637,"clock_position":637,"value":405},{"alpha_index":831,"clock_position":831,"value":174},{"alpha_index":1025,"clock_position":1025,"value":405}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,250,444,638,832,1026],"clock_positions":[56,250,444,638,832,1026],"native_values":[477,295,284,681,91,488],"rotation_degrees":17.31958762886598,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":477},{"alpha_index":250,"clock_position":250,"value":295},{"alpha_index":444,"clock_position":444,"value":284},{"alpha_index":638,"clock_position":638,"value":681},{"alpha_index":832,"clock_position":832,"value":91},{"alpha_index":1026,"clock_position":1026,"value":488}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,251,445,639,833,1027],"clock_positions":[57,251,445,639,833,1027],"native_values":[458,121,265,314,265,121],"rotation_degrees":17.628865979381445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":458},{"alpha_index":251,"clock_position":251,"value":121},{"alpha_index":445,"clock_position":445,"value":265},{"alpha_index":639,"clock_position":639,"value":314},{"alpha_index":833,"clock_position":833,"value":265},{"alpha_index":1027,"clock_position":1027,"value":121}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,252,446,640,834,1028],"clock_positions":[58,252,446,640,834,1028],"native_values":[163,416,549,223,356,609],"rotation_degrees":17.938144329896907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":163},{"alpha_index":252,"clock_position":252,"value":416},{"alpha_index":446,"clock_position":446,"value":549},{"alpha_index":640,"clock_position":640,"value":223},{"alpha_index":834,"clock_position":834,"value":356},{"alpha_index":1028,"clock_position":1028,"value":609}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,253,447,641,835,1029],"clock_positions":[59,253,447,641,835,1029],"native_values":[621,537,42,537,621,730],"rotation_degrees":18.24742268041237,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":621},{"alpha_index":253,"clock_position":253,"value":537},{"alpha_index":447,"clock_position":447,"value":42},{"alpha_index":641,"clock_position":641,"value":537},{"alpha_index":835,"clock_position":835,"value":621},{"alpha_index":1029,"clock_position":1029,"value":730}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,254,448,642,836,1030],"clock_positions":[60,254,448,642,836,1030],"native_values":[12,181,591,760,205,567],"rotation_degrees":18.556701030927837,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":12},{"alpha_index":254,"clock_position":254,"value":181},{"alpha_index":448,"clock_position":448,"value":591},{"alpha_index":642,"clock_position":642,"value":760},{"alpha_index":836,"clock_position":836,"value":205},{"alpha_index":1030,"clock_position":1030,"value":567}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,255,449,643,837,1031],"clock_positions":[61,255,449,643,837,1031],"native_values":[633,718,633,525,54,525],"rotation_degrees":18.8659793814433,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":633},{"alpha_index":255,"clock_position":255,"value":718},{"alpha_index":449,"clock_position":449,"value":633},{"alpha_index":643,"clock_position":643,"value":525},{"alpha_index":837,"clock_position":837,"value":54},{"alpha_index":1031,"clock_position":1031,"value":525}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,256,450,644,838,1032],"clock_positions":[62,256,450,644,838,1032],"native_values":[645,127,452,513,259,320],"rotation_degrees":19.175257731958762,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":645},{"alpha_index":256,"clock_position":256,"value":127},{"alpha_index":450,"clock_position":450,"value":452},{"alpha_index":644,"clock_position":644,"value":513},{"alpha_index":838,"clock_position":838,"value":259},{"alpha_index":1032,"clock_position":1032,"value":320}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,257,451,645,839,1033],"clock_positions":[63,257,451,645,839,1033],"native_values":[506,73,313,266,313,73],"rotation_degrees":19.484536082474225,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":506},{"alpha_index":257,"clock_position":257,"value":73},{"alpha_index":451,"clock_position":451,"value":313},{"alpha_index":645,"clock_position":645,"value":266},{"alpha_index":839,"clock_position":839,"value":313},{"alpha_index":1033,"clock_position":1033,"value":73}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,258,452,646,840,1034],"clock_positions":[64,258,452,646,840,1034],"native_values":[379,200,765,7,572,393],"rotation_degrees":19.79381443298969,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":379},{"alpha_index":258,"clock_position":258,"value":200},{"alpha_index":452,"clock_position":452,"value":765},{"alpha_index":646,"clock_position":646,"value":7},{"alpha_index":840,"clock_position":840,"value":572},{"alpha_index":1034,"clock_position":1034,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,259,453,647,841,1035],"clock_positions":[65,259,453,647,841,1035],"native_values":[113,273,306,273,113,466],"rotation_degrees":20.103092783505154,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":113},{"alpha_index":259,"clock_position":259,"value":273},{"alpha_index":453,"clock_position":453,"value":306},{"alpha_index":647,"clock_position":647,"value":273},{"alpha_index":841,"clock_position":841,"value":113},{"alpha_index":1035,"clock_position":1035,"value":466}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,260,454,648,842,1036],"clock_positions":[66,260,454,648,842,1036],"native_values":[492,473,299,280,685,87],"rotation_degrees":20.412371134020617,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":492},{"alpha_index":260,"clock_position":260,"value":473},{"alpha_index":454,"clock_position":454,"value":299},{"alpha_index":648,"clock_position":648,"value":280},{"alpha_index":842,"clock_position":842,"value":685},{"alpha_index":1036,"clock_position":1036,"value":87}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,261,455,649,843,1037],"clock_positions":[67,261,455,649,843,1037],"native_values":[605,746,605,553,26,553],"rotation_degrees":20.721649484536083,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":605},{"alpha_index":261,"clock_position":261,"value":746},{"alpha_index":455,"clock_position":455,"value":605},{"alpha_index":649,"clock_position":649,"value":553},{"alpha_index":843,"clock_position":843,"value":26},{"alpha_index":1037,"clock_position":1037,"value":553}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,262,456,650,844,1038],"clock_positions":[68,262,456,650,844,1038],"native_values":[325,447,132,61,711,640],"rotation_degrees":21.030927835051546,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":325},{"alpha_index":262,"clock_position":262,"value":447},{"alpha_index":456,"clock_position":456,"value":132},{"alpha_index":650,"clock_position":650,"value":61},{"alpha_index":844,"clock_position":844,"value":711},{"alpha_index":1038,"clock_position":1038,"value":640}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,263,457,651,845,1039],"clock_positions":[69,263,457,651,845,1039],"native_values":[158,421,737,614,737,421],"rotation_degrees":21.34020618556701,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":158},{"alpha_index":263,"clock_position":263,"value":421},{"alpha_index":457,"clock_position":457,"value":737},{"alpha_index":651,"clock_position":651,"value":614},{"alpha_index":845,"clock_position":845,"value":737},{"alpha_index":1039,"clock_position":1039,"value":421}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,264,458,652,846,1040],"clock_positions":[70,264,458,652,846,1040],"native_values":[483,96,97,675,676,289],"rotation_degrees":21.649484536082475,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":483},{"alpha_index":264,"clock_position":264,"value":96},{"alpha_index":458,"clock_position":458,"value":97},{"alpha_index":652,"clock_position":652,"value":675},{"alpha_index":846,"clock_position":846,"value":676},{"alpha_index":1040,"clock_position":1040,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,265,459,653,847,1041],"clock_positions":[71,265,459,653,847,1041],"native_values":[641,517,62,517,641,710],"rotation_degrees":21.95876288659794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":641},{"alpha_index":265,"clock_position":265,"value":517},{"alpha_index":459,"clock_position":459,"value":62},{"alpha_index":653,"clock_position":653,"value":517},{"alpha_index":847,"clock_position":847,"value":641},{"alpha_index":1041,"clock_position":1041,"value":710}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,266,460,654,848,1042],"clock_positions":[72,266,460,654,848,1042],"native_values":[352,613,159,420,545,227],"rotation_degrees":22.2680412371134,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":352},{"alpha_index":266,"clock_position":266,"value":613},{"alpha_index":460,"clock_position":460,"value":159},{"alpha_index":654,"clock_position":654,"value":420},{"alpha_index":848,"clock_position":848,"value":545},{"alpha_index":1042,"clock_position":1042,"value":227}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,267,461,655,849,1043],"clock_positions":[73,267,461,655,849,1043],"native_values":[221,358,221,165,414,165],"rotation_degrees":22.577319587628867,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":221},{"alpha_index":267,"clock_position":267,"value":358},{"alpha_index":461,"clock_position":461,"value":221},{"alpha_index":655,"clock_position":655,"value":165},{"alpha_index":849,"clock_position":849,"value":414},{"alpha_index":1043,"clock_position":1043,"value":165}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,268,462,656,850,1044],"clock_positions":[74,268,462,656,850,1044],"native_values":[573,199,380,585,187,392],"rotation_degrees":22.88659793814433,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":573},{"alpha_index":268,"clock_position":268,"value":199},{"alpha_index":462,"clock_position":462,"value":380},{"alpha_index":656,"clock_position":656,"value":585},{"alpha_index":850,"clock_position":850,"value":187},{"alpha_index":1044,"clock_position":1044,"value":392}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,269,463,657,851,1045],"clock_positions":[75,269,463,657,851,1045],"native_values":[22,557,601,750,601,557],"rotation_degrees":23.195876288659793,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":22},{"alpha_index":269,"clock_position":269,"value":557},{"alpha_index":463,"clock_position":463,"value":601},{"alpha_index":657,"clock_position":657,"value":750},{"alpha_index":851,"clock_position":851,"value":601},{"alpha_index":1045,"clock_position":1045,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,270,464,658,852,1046],"clock_positions":[76,270,464,658,852,1046],"native_values":[595,756,209,563,16,177],"rotation_degrees":23.50515463917526,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":595},{"alpha_index":270,"clock_position":270,"value":756},{"alpha_index":464,"clock_position":464,"value":209},{"alpha_index":658,"clock_position":658,"value":563},{"alpha_index":852,"clock_position":852,"value":16},{"alpha_index":1046,"clock_position":1046,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,271,465,659,853,1047],"clock_positions":[77,271,465,659,853,1047],"native_values":[617,541,38,541,617,734],"rotation_degrees":23.814432989690722,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":617},{"alpha_index":271,"clock_position":271,"value":541},{"alpha_index":465,"clock_position":465,"value":38},{"alpha_index":659,"clock_position":659,"value":541},{"alpha_index":853,"clock_position":853,"value":617},{"alpha_index":1047,"clock_position":1047,"value":734}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,272,466,660,854,1048],"clock_positions":[78,272,466,660,854,1048],"native_values":[440,525,247,332,633,139],"rotation_degrees":24.123711340206185,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":440},{"alpha_index":272,"clock_position":272,"value":525},{"alpha_index":466,"clock_position":466,"value":247},{"alpha_index":660,"clock_position":660,"value":332},{"alpha_index":854,"clock_position":854,"value":633},{"alpha_index":1048,"clock_position":1048,"value":139}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,273,467,661,855,1049],"clock_positions":[79,273,467,661,855,1049],"native_values":[285,294,285,101,478,101],"rotation_degrees":24.432989690721648,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":285},{"alpha_index":273,"clock_position":273,"value":294},{"alpha_index":467,"clock_position":467,"value":285},{"alpha_index":661,"clock_position":661,"value":101},{"alpha_index":855,"clock_position":855,"value":478},{"alpha_index":1049,"clock_position":1049,"value":101}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,274,468,662,856,1050],"clock_positions":[80,274,468,662,856,1050],"native_values":[725,47,532,433,339,240],"rotation_degrees":24.742268041237114,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":725},{"alpha_index":274,"clock_position":274,"value":47},{"alpha_index":468,"clock_position":468,"value":532},{"alpha_index":662,"clock_position":662,"value":433},{"alpha_index":856,"clock_position":856,"value":339},{"alpha_index":1050,"clock_position":1050,"value":240}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,275,469,663,857,1051],"clock_positions":[81,275,469,663,857,1051],"native_values":[238,341,45,534,45,341],"rotation_degrees":25.051546391752577,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":238},{"alpha_index":275,"clock_position":275,"value":341},{"alpha_index":469,"clock_position":469,"value":45},{"alpha_index":663,"clock_position":663,"value":534},{"alpha_index":857,"clock_position":857,"value":45},{"alpha_index":1051,"clock_position":1051,"value":341}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,276,470,664,858,1052],"clock_positions":[82,276,470,664,858,1052],"native_values":[191,388,577,195,384,581],"rotation_degrees":25.36082474226804,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":191},{"alpha_index":276,"clock_position":276,"value":388},{"alpha_index":470,"clock_position":470,"value":577},{"alpha_index":664,"clock_position":664,"value":195},{"alpha_index":858,"clock_position":858,"value":384},{"alpha_index":1052,"clock_position":1052,"value":581}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,277,471,665,859,1053],"clock_positions":[83,277,471,665,859,1053],"native_values":[429,729,622,729,429,150],"rotation_degrees":25.670103092783506,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":429},{"alpha_index":277,"clock_position":277,"value":729},{"alpha_index":471,"clock_position":471,"value":622},{"alpha_index":665,"clock_position":665,"value":729},{"alpha_index":859,"clock_position":859,"value":429},{"alpha_index":1053,"clock_position":1053,"value":150}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,278,472,666,860,1054],"clock_positions":[84,278,472,666,860,1054],"native_values":[620,345,427,152,41,731],"rotation_degrees":25.97938144329897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":620},{"alpha_index":278,"clock_position":278,"value":345},{"alpha_index":472,"clock_position":472,"value":427},{"alpha_index":666,"clock_position":666,"value":152},{"alpha_index":860,"clock_position":860,"value":41},{"alpha_index":1054,"clock_position":1054,"value":731}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,279,473,667,861,1055],"clock_positions":[85,279,473,667,861,1055],"native_values":[277,302,277,109,470,109],"rotation_degrees":26.288659793814432,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":277},{"alpha_index":279,"clock_position":279,"value":302},{"alpha_index":473,"clock_position":473,"value":277},{"alpha_index":667,"clock_position":667,"value":109},{"alpha_index":861,"clock_position":861,"value":470},{"alpha_index":1055,"clock_position":1055,"value":109}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,280,474,668,862,1056],"clock_positions":[86,280,474,668,862,1056],"native_values":[125,647,704,261,511,68],"rotation_degrees":26.5979381443299,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":125},{"alpha_index":280,"clock_position":280,"value":647},{"alpha_index":474,"clock_position":474,"value":704},{"alpha_index":668,"clock_position":668,"value":261},{"alpha_index":862,"clock_position":862,"value":511},{"alpha_index":1056,"clock_position":1056,"value":68}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,281,475,669,863,1057],"clock_positions":[87,281,475,669,863,1057],"native_values":[402,177,209,370,209,177],"rotation_degrees":26.90721649484536,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":402},{"alpha_index":281,"clock_position":281,"value":177},{"alpha_index":475,"clock_position":475,"value":209},{"alpha_index":669,"clock_position":669,"value":370},{"alpha_index":863,"clock_position":863,"value":209},{"alpha_index":1057,"clock_position":1057,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,282,476,670,864,1058],"clock_positions":[88,282,476,670,864,1058],"native_values":[527,52,141,631,720,245],"rotation_degrees":27.216494845360824,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":527},{"alpha_index":282,"clock_position":282,"value":52},{"alpha_index":476,"clock_position":476,"value":141},{"alpha_index":670,"clock_position":670,"value":631},{"alpha_index":864,"clock_position":864,"value":720},{"alpha_index":1058,"clock_position":1058,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,283,477,671,865,1059],"clock_positions":[89,283,477,671,865,1059],"native_values":[157,229,350,229,157,422],"rotation_degrees":27.52577319587629,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":157},{"alpha_index":283,"clock_position":283,"value":229},{"alpha_index":477,"clock_position":477,"value":350},{"alpha_index":671,"clock_position":671,"value":229},{"alpha_index":865,"clock_position":865,"value":157},{"alpha_index":1059,"clock_position":1059,"value":422}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,284,478,672,866,1060],"clock_positions":[90,284,478,672,866,1060],"native_values":[684,281,491,88,105,667],"rotation_degrees":27.835051546391753,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":684},{"alpha_index":284,"clock_position":284,"value":281},{"alpha_index":478,"clock_position":478,"value":491},{"alpha_index":672,"clock_position":672,"value":88},{"alpha_index":866,"clock_position":866,"value":105},{"alpha_index":1060,"clock_position":1060,"value":667}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,285,479,673,867,1061],"clock_positions":[91,285,479,673,867,1061],"native_values":[69,510,69,317,262,317],"rotation_degrees":28.144329896907216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":69},{"alpha_index":285,"clock_position":285,"value":510},{"alpha_index":479,"clock_position":479,"value":69},{"alpha_index":673,"clock_position":673,"value":317},{"alpha_index":867,"clock_position":867,"value":262},{"alpha_index":1061,"clock_position":1061,"value":317}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,286,480,674,868,1062],"clock_positions":[92,286,480,674,868,1062],"native_values":[753,19,560,405,367,212],"rotation_degrees":28.45360824742268,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":753},{"alpha_index":286,"clock_position":286,"value":19},{"alpha_index":480,"clock_position":480,"value":560},{"alpha_index":674,"clock_position":674,"value":405},{"alpha_index":868,"clock_position":868,"value":367},{"alpha_index":1062,"clock_position":1062,"value":212}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,287,481,675,869,1063],"clock_positions":[93,287,481,675,869,1063],"native_values":[50,529,629,722,629,529],"rotation_degrees":28.762886597938145,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":50},{"alpha_index":287,"clock_position":287,"value":529},{"alpha_index":481,"clock_position":481,"value":629},{"alpha_index":675,"clock_position":675,"value":722},{"alpha_index":869,"clock_position":869,"value":629},{"alpha_index":1063,"clock_position":1063,"value":529}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,288,482,676,870,1064],"clock_positions":[94,288,482,676,870,1064],"native_values":[31,548,417,355,224,741],"rotation_degrees":29.072164948453608,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":31},{"alpha_index":288,"clock_position":288,"value":548},{"alpha_index":482,"clock_position":482,"value":417},{"alpha_index":676,"clock_position":676,"value":355},{"alpha_index":870,"clock_position":870,"value":224},{"alpha_index":1064,"clock_position":1064,"value":741}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,289,483,677,871,1065],"clock_positions":[95,289,483,677,871,1065],"native_values":[81,305,274,305,81,498],"rotation_degrees":29.38144329896907,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":81},{"alpha_index":289,"clock_position":289,"value":305},{"alpha_index":483,"clock_position":483,"value":274},{"alpha_index":677,"clock_position":677,"value":305},{"alpha_index":871,"clock_position":871,"value":81},{"alpha_index":1065,"clock_position":1065,"value":498}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,290,484,678,872,1066],"clock_positions":[96,290,484,678,872,1066],"native_values":[112,81,691,660,305,467],"rotation_degrees":29.690721649484537,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":112},{"alpha_index":290,"clock_position":290,"value":81},{"alpha_index":484,"clock_position":484,"value":691},{"alpha_index":678,"clock_position":678,"value":660},{"alpha_index":872,"clock_position":872,"value":305},{"alpha_index":1066,"clock_position":1066,"value":467}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,291,485,679,873,1067],"clock_positions":[97,291,485,679,873,1067],"native_values":[193,386,193,193,386,193],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":193},{"alpha_index":291,"clock_position":291,"value":386},{"alpha_index":485,"clock_position":485,"value":193},{"alpha_index":679,"clock_position":679,"value":193},{"alpha_index":873,"clock_position":873,"value":386},{"alpha_index":1067,"clock_position":1067,"value":193}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,292,486,680,874,1068],"clock_positions":[98,292,486,680,874,1068],"native_values":[305,467,112,81,691,660],"rotation_degrees":30.309278350515463,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":305},{"alpha_index":292,"clock_position":292,"value":467},{"alpha_index":486,"clock_position":486,"value":112},{"alpha_index":680,"clock_position":680,"value":81},{"alpha_index":874,"clock_position":874,"value":691},{"alpha_index":1068,"clock_position":1068,"value":660}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,293,487,681,875,1069],"clock_positions":[99,293,487,681,875,1069],"native_values":[498,81,305,274,305,81],"rotation_degrees":30.61855670103093,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":498},{"alpha_index":293,"clock_position":293,"value":81},{"alpha_index":487,"clock_position":487,"value":305},{"alpha_index":681,"clock_position":681,"value":274},{"alpha_index":875,"clock_position":875,"value":305},{"alpha_index":1069,"clock_position":1069,"value":81}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,294,488,682,876,1070],"clock_positions":[100,294,488,682,876,1070],"native_values":[31,548,417,355,224,741],"rotation_degrees":30.927835051546392,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":31},{"alpha_index":294,"clock_position":294,"value":548},{"alpha_index":488,"clock_position":488,"value":417},{"alpha_index":682,"clock_position":682,"value":355},{"alpha_index":876,"clock_position":876,"value":224},{"alpha_index":1070,"clock_position":1070,"value":741}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,295,489,683,877,1071],"clock_positions":[101,295,489,683,877,1071],"native_values":[529,629,722,629,529,50],"rotation_degrees":31.237113402061855,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":529},{"alpha_index":295,"clock_position":295,"value":629},{"alpha_index":489,"clock_position":489,"value":722},{"alpha_index":683,"clock_position":683,"value":629},{"alpha_index":877,"clock_position":877,"value":529},{"alpha_index":1071,"clock_position":1071,"value":50}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,296,490,684,878,1072],"clock_positions":[102,296,490,684,878,1072],"native_values":[560,405,367,212,753,19],"rotation_degrees":31.54639175257732,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":560},{"alpha_index":296,"clock_position":296,"value":405},{"alpha_index":490,"clock_position":490,"value":367},{"alpha_index":684,"clock_position":684,"value":212},{"alpha_index":878,"clock_position":878,"value":753},{"alpha_index":1072,"clock_position":1072,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,297,491,685,879,1073],"clock_positions":[103,297,491,685,879,1073],"native_values":[317,262,317,69,510,69],"rotation_degrees":31.855670103092784,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":317},{"alpha_index":297,"clock_position":297,"value":262},{"alpha_index":491,"clock_position":491,"value":317},{"alpha_index":685,"clock_position":685,"value":69},{"alpha_index":879,"clock_position":879,"value":510},{"alpha_index":1073,"clock_position":1073,"value":69}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,298,492,686,880,1074],"clock_positions":[104,298,492,686,880,1074],"native_values":[105,667,684,281,491,88],"rotation_degrees":32.16494845360825,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":105},{"alpha_index":298,"clock_position":298,"value":667},{"alpha_index":492,"clock_position":492,"value":684},{"alpha_index":686,"clock_position":686,"value":281},{"alpha_index":880,"clock_position":880,"value":491},{"alpha_index":1074,"clock_position":1074,"value":88}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,299,493,687,881,1075],"clock_positions":[105,299,493,687,881,1075],"native_values":[422,157,229,350,229,157],"rotation_degrees":32.47422680412371,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":422},{"alpha_index":299,"clock_position":299,"value":157},{"alpha_index":493,"clock_position":493,"value":229},{"alpha_index":687,"clock_position":687,"value":350},{"alpha_index":881,"clock_position":881,"value":229},{"alpha_index":1075,"clock_position":1075,"value":157}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,300,494,688,882,1076],"clock_positions":[106,300,494,688,882,1076],"native_values":[527,52,141,631,720,245],"rotation_degrees":32.78350515463917,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":527},{"alpha_index":300,"clock_position":300,"value":52},{"alpha_index":494,"clock_position":494,"value":141},{"alpha_index":688,"clock_position":688,"value":631},{"alpha_index":882,"clock_position":882,"value":720},{"alpha_index":1076,"clock_position":1076,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,301,495,689,883,1077],"clock_positions":[107,301,495,689,883,1077],"native_values":[177,209,370,209,177,402],"rotation_degrees":33.09278350515464,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":177},{"alpha_index":301,"clock_position":301,"value":209},{"alpha_index":495,"clock_position":495,"value":370},{"alpha_index":689,"clock_position":689,"value":209},{"alpha_index":883,"clock_position":883,"value":177},{"alpha_index":1077,"clock_position":1077,"value":402}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,302,496,690,884,1078],"clock_positions":[108,302,496,690,884,1078],"native_values":[704,261,511,68,125,647],"rotation_degrees":33.402061855670105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":704},{"alpha_index":302,"clock_position":302,"value":261},{"alpha_index":496,"clock_position":496,"value":511},{"alpha_index":690,"clock_position":690,"value":68},{"alpha_index":884,"clock_position":884,"value":125},{"alpha_index":1078,"clock_position":1078,"value":647}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,303,497,691,885,1079],"clock_positions":[109,303,497,691,885,1079],"native_values":[109,470,109,277,302,277],"rotation_degrees":33.71134020618557,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":109},{"alpha_index":303,"clock_position":303,"value":470},{"alpha_index":497,"clock_position":497,"value":109},{"alpha_index":691,"clock_position":691,"value":277},{"alpha_index":885,"clock_position":885,"value":302},{"alpha_index":1079,"clock_position":1079,"value":277}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,304,498,692,886,1080],"clock_positions":[110,304,498,692,886,1080],"native_values":[41,731,620,345,427,152],"rotation_degrees":34.02061855670103,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":41},{"alpha_index":304,"clock_position":304,"value":731},{"alpha_index":498,"clock_position":498,"value":620},{"alpha_index":692,"clock_position":692,"value":345},{"alpha_index":886,"clock_position":886,"value":427},{"alpha_index":1080,"clock_position":1080,"value":152}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,305,499,693,887,1081],"clock_positions":[111,305,499,693,887,1081],"native_values":[150,429,729,622,729,429],"rotation_degrees":34.329896907216494,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":150},{"alpha_index":305,"clock_position":305,"value":429},{"alpha_index":499,"clock_position":499,"value":729},{"alpha_index":693,"clock_position":693,"value":622},{"alpha_index":887,"clock_position":887,"value":729},{"alpha_index":1081,"clock_position":1081,"value":429}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,306,500,694,888,1082],"clock_positions":[112,306,500,694,888,1082],"native_values":[191,388,577,195,384,581],"rotation_degrees":34.63917525773196,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":191},{"alpha_index":306,"clock_position":306,"value":388},{"alpha_index":500,"clock_position":500,"value":577},{"alpha_index":694,"clock_position":694,"value":195},{"alpha_index":888,"clock_position":888,"value":384},{"alpha_index":1082,"clock_position":1082,"value":581}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,307,501,695,889,1083],"clock_positions":[113,307,501,695,889,1083],"native_values":[341,45,534,45,341,238],"rotation_degrees":34.94845360824742,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":341},{"alpha_index":307,"clock_position":307,"value":45},{"alpha_index":501,"clock_position":501,"value":534},{"alpha_index":695,"clock_position":695,"value":45},{"alpha_index":889,"clock_position":889,"value":341},{"alpha_index":1083,"clock_position":1083,"value":238}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,308,502,696,890,1084],"clock_positions":[114,308,502,696,890,1084],"native_values":[532,433,339,240,725,47],"rotation_degrees":35.25773195876289,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":532},{"alpha_index":308,"clock_position":308,"value":433},{"alpha_index":502,"clock_position":502,"value":339},{"alpha_index":696,"clock_position":696,"value":240},{"alpha_index":890,"clock_position":890,"value":725},{"alpha_index":1084,"clock_position":1084,"value":47}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,309,503,697,891,1085],"clock_positions":[115,309,503,697,891,1085],"native_values":[101,478,101,285,294,285],"rotation_degrees":35.56701030927835,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":101},{"alpha_index":309,"clock_position":309,"value":478},{"alpha_index":503,"clock_position":503,"value":101},{"alpha_index":697,"clock_position":697,"value":285},{"alpha_index":891,"clock_position":891,"value":294},{"alpha_index":1085,"clock_position":1085,"value":285}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,310,504,698,892,1086],"clock_positions":[116,310,504,698,892,1086],"native_values":[633,139,440,525,247,332],"rotation_degrees":35.876288659793815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":633},{"alpha_index":310,"clock_position":310,"value":139},{"alpha_index":504,"clock_position":504,"value":440},{"alpha_index":698,"clock_position":698,"value":525},{"alpha_index":892,"clock_position":892,"value":247},{"alpha_index":1086,"clock_position":1086,"value":332}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,311,505,699,893,1087],"clock_positions":[117,311,505,699,893,1087],"native_values":[734,617,541,38,541,617],"rotation_degrees":36.18556701030928,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":734},{"alpha_index":311,"clock_position":311,"value":617},{"alpha_index":505,"clock_position":505,"value":541},{"alpha_index":699,"clock_position":699,"value":38},{"alpha_index":893,"clock_position":893,"value":541},{"alpha_index":1087,"clock_position":1087,"value":617}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,312,506,700,894,1088],"clock_positions":[118,312,506,700,894,1088],"native_values":[595,756,209,563,16,177],"rotation_degrees":36.49484536082474,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":595},{"alpha_index":312,"clock_position":312,"value":756},{"alpha_index":506,"clock_position":506,"value":209},{"alpha_index":700,"clock_position":700,"value":563},{"alpha_index":894,"clock_position":894,"value":16},{"alpha_index":1088,"clock_position":1088,"value":177}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,313,507,701,895,1089],"clock_positions":[119,313,507,701,895,1089],"native_values":[557,601,750,601,557,22],"rotation_degrees":36.8041237113402,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":557},{"alpha_index":313,"clock_position":313,"value":601},{"alpha_index":507,"clock_position":507,"value":750},{"alpha_index":701,"clock_position":701,"value":601},{"alpha_index":895,"clock_position":895,"value":557},{"alpha_index":1089,"clock_position":1089,"value":22}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,314,508,702,896,1090],"clock_positions":[120,314,508,702,896,1090],"native_values":[380,585,187,392,573,199],"rotation_degrees":37.11340206185567,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":380},{"alpha_index":314,"clock_position":314,"value":585},{"alpha_index":508,"clock_position":508,"value":187},{"alpha_index":702,"clock_position":702,"value":392},{"alpha_index":896,"clock_position":896,"value":573},{"alpha_index":1090,"clock_position":1090,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,315,509,703,897,1091],"clock_positions":[121,315,509,703,897,1091],"native_values":[165,414,165,221,358,221],"rotation_degrees":37.422680412371136,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":165},{"alpha_index":315,"clock_position":315,"value":414},{"alpha_index":509,"clock_position":509,"value":165},{"alpha_index":703,"clock_position":703,"value":221},{"alpha_index":897,"clock_position":897,"value":358},{"alpha_index":1091,"clock_position":1091,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,316,510,704,898,1092],"clock_positions":[122,316,510,704,898,1092],"native_values":[545,227,352,613,159,420],"rotation_degrees":37.7319587628866,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":545},{"alpha_index":316,"clock_position":316,"value":227},{"alpha_index":510,"clock_position":510,"value":352},{"alpha_index":704,"clock_position":704,"value":613},{"alpha_index":898,"clock_position":898,"value":159},{"alpha_index":1092,"clock_position":1092,"value":420}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,317,511,705,899,1093],"clock_positions":[123,317,511,705,899,1093],"native_values":[710,641,517,62,517,641],"rotation_degrees":38.04123711340206,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":710},{"alpha_index":317,"clock_position":317,"value":641},{"alpha_index":511,"clock_position":511,"value":517},{"alpha_index":705,"clock_position":705,"value":62},{"alpha_index":899,"clock_position":899,"value":517},{"alpha_index":1093,"clock_position":1093,"value":641}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,318,512,706,900,1094],"clock_positions":[124,318,512,706,900,1094],"native_values":[483,96,97,675,676,289],"rotation_degrees":38.350515463917525,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":483},{"alpha_index":318,"clock_position":318,"value":96},{"alpha_index":512,"clock_position":512,"value":97},{"alpha_index":706,"clock_position":706,"value":675},{"alpha_index":900,"clock_position":900,"value":676},{"alpha_index":1094,"clock_position":1094,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,319,513,707,901,1095],"clock_positions":[125,319,513,707,901,1095],"native_values":[421,737,614,737,421,158],"rotation_degrees":38.65979381443299,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":421},{"alpha_index":319,"clock_position":319,"value":737},{"alpha_index":513,"clock_position":513,"value":614},{"alpha_index":707,"clock_position":707,"value":737},{"alpha_index":901,"clock_position":901,"value":421},{"alpha_index":1095,"clock_position":1095,"value":158}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,320,514,708,902,1096],"clock_positions":[126,320,514,708,902,1096],"native_values":[132,61,711,640,325,447],"rotation_degrees":38.96907216494845,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":132},{"alpha_index":320,"clock_position":320,"value":61},{"alpha_index":514,"clock_position":514,"value":711},{"alpha_index":708,"clock_position":708,"value":640},{"alpha_index":902,"clock_position":902,"value":325},{"alpha_index":1096,"clock_position":1096,"value":447}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,321,515,709,903,1097],"clock_positions":[127,321,515,709,903,1097],"native_values":[553,26,553,605,746,605],"rotation_degrees":39.27835051546392,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":553},{"alpha_index":321,"clock_position":321,"value":26},{"alpha_index":515,"clock_position":515,"value":553},{"alpha_index":709,"clock_position":709,"value":605},{"alpha_index":903,"clock_position":903,"value":746},{"alpha_index":1097,"clock_position":1097,"value":605}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,322,516,710,904,1098],"clock_positions":[128,322,516,710,904,1098],"native_values":[685,87,492,473,299,280],"rotation_degrees":39.58762886597938,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":685},{"alpha_index":322,"clock_position":322,"value":87},{"alpha_index":516,"clock_position":516,"value":492},{"alpha_index":710,"clock_position":710,"value":473},{"alpha_index":904,"clock_position":904,"value":299},{"alpha_index":1098,"clock_position":1098,"value":280}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,323,517,711,905,1099],"clock_positions":[129,323,517,711,905,1099],"native_values":[466,113,273,306,273,113],"rotation_degrees":39.896907216494846,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":466},{"alpha_index":323,"clock_position":323,"value":113},{"alpha_index":517,"clock_position":517,"value":273},{"alpha_index":711,"clock_position":711,"value":306},{"alpha_index":905,"clock_position":905,"value":273},{"alpha_index":1099,"clock_position":1099,"value":113}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,324,518,712,906,1100],"clock_positions":[130,324,518,712,906,1100],"native_values":[379,200,765,7,572,393],"rotation_degrees":40.20618556701031,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":379},{"alpha_index":324,"clock_position":324,"value":200},{"alpha_index":518,"clock_position":518,"value":765},{"alpha_index":712,"clock_position":712,"value":7},{"alpha_index":906,"clock_position":906,"value":572},{"alpha_index":1100,"clock_position":1100,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,325,519,713,907,1101],"clock_positions":[131,325,519,713,907,1101],"native_values":[73,313,266,313,73,506],"rotation_degrees":40.51546391752577,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":73},{"alpha_index":325,"clock_position":325,"value":313},{"alpha_index":519,"clock_position":519,"value":266},{"alpha_index":713,"clock_position":713,"value":313},{"alpha_index":907,"clock_position":907,"value":73},{"alpha_index":1101,"clock_position":1101,"value":506}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,326,520,714,908,1102],"clock_positions":[132,326,520,714,908,1102],"native_values":[452,513,259,320,645,127],"rotation_degrees":40.824742268041234,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":452},{"alpha_index":326,"clock_position":326,"value":513},{"alpha_index":520,"clock_position":520,"value":259},{"alpha_index":714,"clock_position":714,"value":320},{"alpha_index":908,"clock_position":908,"value":645},{"alpha_index":1102,"clock_position":1102,"value":127}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,327,521,715,909,1103],"clock_positions":[133,327,521,715,909,1103],"native_values":[525,54,525,633,718,633],"rotation_degrees":41.134020618556704,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":525},{"alpha_index":327,"clock_position":327,"value":54},{"alpha_index":521,"clock_position":521,"value":525},{"alpha_index":715,"clock_position":715,"value":633},{"alpha_index":909,"clock_position":909,"value":718},{"alpha_index":1103,"clock_position":1103,"value":633}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,328,522,716,910,1104],"clock_positions":[134,328,522,716,910,1104],"native_values":[205,567,12,181,591,760],"rotation_degrees":41.44329896907217,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":205},{"alpha_index":328,"clock_position":328,"value":567},{"alpha_index":522,"clock_position":522,"value":12},{"alpha_index":716,"clock_position":716,"value":181},{"alpha_index":910,"clock_position":910,"value":591},{"alpha_index":1104,"clock_position":1104,"value":760}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,329,523,717,911,1105],"clock_positions":[135,329,523,717,911,1105],"native_values":[730,621,537,42,537,621],"rotation_degrees":41.75257731958763,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":730},{"alpha_index":329,"clock_position":329,"value":621},{"alpha_index":523,"clock_position":523,"value":537},{"alpha_index":717,"clock_position":717,"value":42},{"alpha_index":911,"clock_position":911,"value":537},{"alpha_index":1105,"clock_position":1105,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,330,524,718,912,1106],"clock_positions":[136,330,524,718,912,1106],"native_values":[163,416,549,223,356,609],"rotation_degrees":42.06185567010309,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":163},{"alpha_index":330,"clock_position":330,"value":416},{"alpha_index":524,"clock_position":524,"value":549},{"alpha_index":718,"clock_position":718,"value":223},{"alpha_index":912,"clock_position":912,"value":356},{"alpha_index":1106,"clock_position":1106,"value":609}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,331,525,719,913,1107],"clock_positions":[137,331,525,719,913,1107],"native_values":[121,265,314,265,121,458],"rotation_degrees":42.371134020618555,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":121},{"alpha_index":331,"clock_position":331,"value":265},{"alpha_index":525,"clock_position":525,"value":314},{"alpha_index":719,"clock_position":719,"value":265},{"alpha_index":913,"clock_position":913,"value":121},{"alpha_index":1107,"clock_position":1107,"value":458}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,332,526,720,914,1108],"clock_positions":[138,332,526,720,914,1108],"native_values":[284,681,91,488,477,295],"rotation_degrees":42.68041237113402,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":284},{"alpha_index":332,"clock_position":332,"value":681},{"alpha_index":526,"clock_position":526,"value":91},{"alpha_index":720,"clock_position":720,"value":488},{"alpha_index":914,"clock_position":914,"value":477},{"alpha_index":1108,"clock_position":1108,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,333,527,721,915,1109],"clock_positions":[139,333,527,721,915,1109],"native_values":[405,174,405,753,598,753],"rotation_degrees":42.98969072164948,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":405},{"alpha_index":333,"clock_position":333,"value":174},{"alpha_index":527,"clock_position":527,"value":405},{"alpha_index":721,"clock_position":721,"value":753},{"alpha_index":915,"clock_position":915,"value":598},{"alpha_index":1109,"clock_position":1109,"value":753}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,334,528,722,916,1110],"clock_positions":[140,334,528,722,916,1110],"native_values":[689,83,496,469,303,276],"rotation_degrees":43.29896907216495,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":689},{"alpha_index":334,"clock_position":334,"value":83},{"alpha_index":528,"clock_position":528,"value":496},{"alpha_index":722,"clock_position":722,"value":469},{"alpha_index":916,"clock_position":916,"value":303},{"alpha_index":1110,"clock_position":1110,"value":276}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,335,529,723,917,1111],"clock_positions":[141,335,529,723,917,1111],"native_values":[322,257,129,450,129,257],"rotation_degrees":43.608247422680414,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":322},{"alpha_index":335,"clock_position":335,"value":257},{"alpha_index":529,"clock_position":529,"value":129},{"alpha_index":723,"clock_position":723,"value":450},{"alpha_index":917,"clock_position":917,"value":129},{"alpha_index":1111,"clock_position":1111,"value":257}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,336,530,724,918,1112],"clock_positions":[142,336,530,724,918,1112],"native_values":[239,340,625,147,432,533],"rotation_degrees":43.91752577319588,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":239},{"alpha_index":336,"clock_position":336,"value":340},{"alpha_index":530,"clock_position":530,"value":625},{"alpha_index":724,"clock_position":724,"value":147},{"alpha_index":918,"clock_position":918,"value":432},{"alpha_index":1112,"clock_position":1112,"value":533}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,337,531,725,919,1113],"clock_positions":[143,337,531,725,919,1113],"native_values":[561,597,754,597,561,18],"rotation_degrees":44.22680412371134,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":561},{"alpha_index":337,"clock_position":337,"value":597},{"alpha_index":531,"clock_position":531,"value":754},{"alpha_index":725,"clock_position":725,"value":597},{"alpha_index":919,"clock_position":919,"value":561},{"alpha_index":1113,"clock_position":1113,"value":18}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,338,532,726,920,1114],"clock_positions":[144,338,532,726,920,1114],"native_values":[28,165,607,744,221,551],"rotation_degrees":44.5360824742268,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":28},{"alpha_index":338,"clock_position":338,"value":165},{"alpha_index":532,"clock_position":532,"value":607},{"alpha_index":726,"clock_position":726,"value":744},{"alpha_index":920,"clock_position":920,"value":221},{"alpha_index":1114,"clock_position":1114,"value":551}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,339,533,727,921,1115],"clock_positions":[145,339,533,727,921,1115],"native_values":[589,762,589,569,10,569],"rotation_degrees":44.845360824742265,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":589},{"alpha_index":339,"clock_position":339,"value":762},{"alpha_index":533,"clock_position":533,"value":589},{"alpha_index":727,"clock_position":727,"value":569},{"alpha_index":921,"clock_position":921,"value":10},{"alpha_index":1115,"clock_position":1115,"value":569}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,340,534,728,922,1116],"clock_positions":[146,340,534,728,922,1116],"native_values":[617,155,424,541,231,348],"rotation_degrees":45.154639175257735,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":617},{"alpha_index":340,"clock_position":340,"value":155},{"alpha_index":534,"clock_position":534,"value":424},{"alpha_index":728,"clock_position":728,"value":541},{"alpha_index":922,"clock_position":922,"value":231},{"alpha_index":1116,"clock_position":1116,"value":348}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,341,535,729,923,1117],"clock_positions":[147,341,535,729,923,1117],"native_values":[434,145,241,338,241,145],"rotation_degrees":45.4639175257732,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":434},{"alpha_index":341,"clock_position":341,"value":145},{"alpha_index":535,"clock_position":535,"value":241},{"alpha_index":729,"clock_position":729,"value":338},{"alpha_index":923,"clock_position":923,"value":241},{"alpha_index":1117,"clock_position":1117,"value":145}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,342,536,730,924,1118],"clock_positions":[148,342,536,730,924,1118],"native_values":[279,300,665,107,472,493],"rotation_degrees":45.77319587628866,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":279},{"alpha_index":342,"clock_position":342,"value":300},{"alpha_index":536,"clock_position":536,"value":665},{"alpha_index":730,"clock_position":730,"value":107},{"alpha_index":924,"clock_position":924,"value":472},{"alpha_index":1118,"clock_position":1118,"value":493}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,343,537,731,925,1119],"clock_positions":[149,343,537,731,925,1119],"native_values":[713,445,134,445,713,638],"rotation_degrees":46.08247422680412,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":713},{"alpha_index":343,"clock_position":343,"value":445},{"alpha_index":537,"clock_position":537,"value":134},{"alpha_index":731,"clock_position":731,"value":445},{"alpha_index":925,"clock_position":925,"value":713},{"alpha_index":1119,"clock_position":1119,"value":638}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,344,538,732,926,1120],"clock_positions":[150,344,538,732,926,1120],"native_values":[220,745,27,552,413,359],"rotation_degrees":46.391752577319586,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":220},{"alpha_index":344,"clock_position":344,"value":745},{"alpha_index":538,"clock_position":538,"value":27},{"alpha_index":732,"clock_position":732,"value":552},{"alpha_index":926,"clock_position":926,"value":413},{"alpha_index":1120,"clock_position":1120,"value":359}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,345,539,733,927,1121],"clock_positions":[151,345,539,733,927,1121],"native_values":[161,418,161,225,354,225],"rotation_degrees":46.70103092783505,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":161},{"alpha_index":345,"clock_position":345,"value":418},{"alpha_index":539,"clock_position":539,"value":161},{"alpha_index":733,"clock_position":733,"value":225},{"alpha_index":927,"clock_position":927,"value":354},{"alpha_index":1121,"clock_position":1121,"value":225}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,346,540,734,928,1122],"clock_positions":[152,346,540,734,928,1122],"native_values":[381,391,188,5,767,584],"rotation_degrees":47.01030927835052,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":381},{"alpha_index":346,"clock_position":346,"value":391},{"alpha_index":540,"clock_position":540,"value":188},{"alpha_index":734,"clock_position":734,"value":5},{"alpha_index":928,"clock_position":928,"value":767},{"alpha_index":1122,"clock_position":1122,"value":584}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,347,541,735,929,1123],"clock_positions":[153,347,541,735,929,1123],"native_values":[542,37,349,230,349,37],"rotation_degrees":47.31958762886598,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":542},{"alpha_index":347,"clock_position":347,"value":37},{"alpha_index":541,"clock_position":541,"value":349},{"alpha_index":735,"clock_position":735,"value":230},{"alpha_index":929,"clock_position":929,"value":349},{"alpha_index":1123,"clock_position":1123,"value":37}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,348,542,736,930,1124],"clock_positions":[154,348,542,736,930,1124],"native_values":[151,428,537,235,344,621],"rotation_degrees":47.628865979381445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":151},{"alpha_index":348,"clock_position":348,"value":428},{"alpha_index":542,"clock_position":542,"value":537},{"alpha_index":736,"clock_position":736,"value":235},{"alpha_index":930,"clock_position":930,"value":344},{"alpha_index":1124,"clock_position":1124,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,349,543,737,931,1125],"clock_positions":[155,349,543,737,931,1125],"native_values":[693,465,114,465,693,658],"rotation_degrees":47.93814432989691,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":693},{"alpha_index":349,"clock_position":349,"value":465},{"alpha_index":543,"clock_position":543,"value":114},{"alpha_index":737,"clock_position":737,"value":465},{"alpha_index":931,"clock_position":931,"value":693},{"alpha_index":1125,"clock_position":1125,"value":658}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,350,544,738,932,1126],"clock_positions":[156,350,544,738,932,1126],"native_values":[72,121,651,700,265,507],"rotation_degrees":48.24742268041237,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":72},{"alpha_index":350,"clock_position":350,"value":121},{"alpha_index":544,"clock_position":544,"value":651},{"alpha_index":738,"clock_position":738,"value":700},{"alpha_index":932,"clock_position":932,"value":265},{"alpha_index":1126,"clock_position":1126,"value":507}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,351,545,739,933,1127],"clock_positions":[157,351,545,739,933,1127],"native_values":[765,586,765,393,186,393],"rotation_degrees":48.55670103092783,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":765},{"alpha_index":351,"clock_position":351,"value":586},{"alpha_index":545,"clock_position":545,"value":765},{"alpha_index":739,"clock_position":739,"value":393},{"alpha_index":933,"clock_position":933,"value":186},{"alpha_index":1127,"clock_position":1127,"value":393}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,352,546,740,934,1128],"clock_positions":[158,352,546,740,934,1128],"native_values":[65,707,644,321,451,128],"rotation_degrees":48.865979381443296,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":65},{"alpha_index":352,"clock_position":352,"value":707},{"alpha_index":546,"clock_position":546,"value":644},{"alpha_index":740,"clock_position":740,"value":321},{"alpha_index":934,"clock_position":934,"value":451},{"alpha_index":1128,"clock_position":1128,"value":128}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,353,547,741,935,1129],"clock_positions":[159,353,547,741,935,1129],"native_values":[58,521,637,714,637,521],"rotation_degrees":49.175257731958766,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":58},{"alpha_index":353,"clock_position":353,"value":521},{"alpha_index":547,"clock_position":547,"value":637},{"alpha_index":741,"clock_position":741,"value":714},{"alpha_index":935,"clock_position":935,"value":637},{"alpha_index":1129,"clock_position":1129,"value":521}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,354,548,742,936,1130],"clock_positions":[160,354,548,742,936,1130],"native_values":[123,456,509,263,316,649],"rotation_degrees":49.48453608247423,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":123},{"alpha_index":354,"clock_position":354,"value":456},{"alpha_index":548,"clock_position":548,"value":509},{"alpha_index":742,"clock_position":742,"value":263},{"alpha_index":936,"clock_position":936,"value":316},{"alpha_index":1130,"clock_position":1130,"value":649}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,355,549,743,937,1131],"clock_positions":[161,355,549,743,937,1131],"native_values":[181,205,374,205,181,398],"rotation_degrees":49.79381443298969,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":181},{"alpha_index":355,"clock_position":355,"value":205},{"alpha_index":549,"clock_position":549,"value":374},{"alpha_index":743,"clock_position":743,"value":205},{"alpha_index":937,"clock_position":937,"value":181},{"alpha_index":1131,"clock_position":1131,"value":398}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,356,550,744,938,1132],"clock_positions":[162,356,550,744,938,1132],"native_values":[304,661,111,468,497,275],"rotation_degrees":50.103092783505154,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":304},{"alpha_index":356,"clock_position":356,"value":661},{"alpha_index":550,"clock_position":550,"value":111},{"alpha_index":744,"clock_position":744,"value":468},{"alpha_index":938,"clock_position":938,"value":497},{"alpha_index":1132,"clock_position":1132,"value":275}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,357,551,745,939,1133],"clock_positions":[163,357,551,745,939,1133],"native_values":[485,94,485,673,678,673],"rotation_degrees":50.41237113402062,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":485},{"alpha_index":357,"clock_position":357,"value":94},{"alpha_index":551,"clock_position":551,"value":485},{"alpha_index":745,"clock_position":745,"value":673},{"alpha_index":939,"clock_position":939,"value":678},{"alpha_index":1133,"clock_position":1133,"value":673}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,358,552,746,940,1134],"clock_positions":[164,358,552,746,940,1134],"native_values":[17,755,596,369,403,176],"rotation_degrees":50.72164948453608,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":17},{"alpha_index":358,"clock_position":358,"value":755},{"alpha_index":552,"clock_position":552,"value":596},{"alpha_index":746,"clock_position":746,"value":369},{"alpha_index":940,"clock_position":940,"value":403},{"alpha_index":1134,"clock_position":1134,"value":176}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,359,553,747,941,1135],"clock_positions":[165,359,553,747,941,1135],"native_values":[502,77,309,270,309,77],"rotation_degrees":51.03092783505155,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":502},{"alpha_index":359,"clock_position":359,"value":77},{"alpha_index":553,"clock_position":553,"value":309},{"alpha_index":747,"clock_position":747,"value":270},{"alpha_index":941,"clock_position":941,"value":309},{"alpha_index":1135,"clock_position":1135,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,360,554,748,942,1136],"clock_positions":[166,360,554,748,942,1136],"native_values":[519,60,133,639,712,253],"rotation_degrees":51.34020618556701,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":519},{"alpha_index":360,"clock_position":360,"value":60},{"alpha_index":554,"clock_position":554,"value":133},{"alpha_index":748,"clock_position":748,"value":639},{"alpha_index":942,"clock_position":942,"value":712},{"alpha_index":1136,"clock_position":1136,"value":253}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,361,555,749,943,1137],"clock_positions":[167,361,555,749,943,1137],"native_values":[249,137,442,137,249,330],"rotation_degrees":51.649484536082475,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":249},{"alpha_index":361,"clock_position":361,"value":137},{"alpha_index":555,"clock_position":555,"value":442},{"alpha_index":749,"clock_position":749,"value":137},{"alpha_index":943,"clock_position":943,"value":249},{"alpha_index":1137,"clock_position":1137,"value":330}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,362,556,750,944,1138],"clock_positions":[168,362,556,750,944,1138],"native_values":[768,197,575,4,189,583],"rotation_degrees":51.95876288659794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":768},{"alpha_index":362,"clock_position":362,"value":197},{"alpha_index":556,"clock_position":556,"value":575},{"alpha_index":750,"clock_position":750,"value":4},{"alpha_index":944,"clock_position":944,"value":189},{"alpha_index":1138,"clock_position":1138,"value":583}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,363,557,751,945,1139],"clock_positions":[169,363,557,751,945,1139],"native_values":[245,334,245,141,438,141],"rotation_degrees":52.2680412371134,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":245},{"alpha_index":363,"clock_position":363,"value":334},{"alpha_index":557,"clock_position":557,"value":245},{"alpha_index":751,"clock_position":751,"value":141},{"alpha_index":945,"clock_position":945,"value":438},{"alpha_index":1139,"clock_position":1139,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,364,558,752,946,1140],"clock_positions":[170,364,558,752,946,1140],"native_values":[241,531,48,145,627,724],"rotation_degrees":52.577319587628864,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":241},{"alpha_index":364,"clock_position":364,"value":531},{"alpha_index":558,"clock_position":558,"value":48},{"alpha_index":752,"clock_position":752,"value":145},{"alpha_index":946,"clock_position":946,"value":627},{"alpha_index":1140,"clock_position":1140,"value":724}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,365,559,753,947,1141],"clock_positions":[171,365,559,753,947,1141],"native_values":[486,93,293,286,293,93],"rotation_degrees":52.88659793814433,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":486},{"alpha_index":365,"clock_position":365,"value":93},{"alpha_index":559,"clock_position":559,"value":293},{"alpha_index":753,"clock_position":753,"value":286},{"alpha_index":947,"clock_position":947,"value":293},{"alpha_index":1141,"clock_position":1141,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,366,560,754,948,1142],"clock_positions":[172,366,560,754,948,1142],"native_values":[727,624,341,431,148,45],"rotation_degrees":53.1958762886598,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":727},{"alpha_index":366,"clock_position":366,"value":624},{"alpha_index":560,"clock_position":560,"value":341},{"alpha_index":754,"clock_position":754,"value":431},{"alpha_index":948,"clock_position":948,"value":148},{"alpha_index":1142,"clock_position":1142,"value":45}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,367,561,755,949,1143],"clock_positions":[173,367,561,755,949,1143],"native_values":[441,717,634,717,441,138],"rotation_degrees":53.50515463917526,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":441},{"alpha_index":367,"clock_position":367,"value":717},{"alpha_index":561,"clock_position":561,"value":634},{"alpha_index":755,"clock_position":755,"value":717},{"alpha_index":949,"clock_position":949,"value":441},{"alpha_index":1143,"clock_position":1143,"value":138}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,368,562,756,950,1144],"clock_positions":[174,368,562,756,950,1144],"native_values":[396,569,203,376,589,183],"rotation_degrees":53.81443298969072,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":396},{"alpha_index":368,"clock_position":368,"value":569},{"alpha_index":562,"clock_position":562,"value":203},{"alpha_index":756,"clock_position":756,"value":376},{"alpha_index":950,"clock_position":950,"value":589},{"alpha_index":1144,"clock_position":1144,"value":183}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,369,563,757,951,1145],"clock_positions":[175,369,563,757,951,1145],"native_values":[65,514,65,321,258,321],"rotation_degrees":54.123711340206185,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":65},{"alpha_index":369,"clock_position":369,"value":514},{"alpha_index":563,"clock_position":563,"value":65},{"alpha_index":757,"clock_position":757,"value":321},{"alpha_index":951,"clock_position":951,"value":258},{"alpha_index":1145,"clock_position":1145,"value":321}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,370,564,758,952,1146],"clock_positions":[176,370,564,758,952,1146],"native_values":[461,311,268,697,75,504],"rotation_degrees":54.43298969072165,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":461},{"alpha_index":370,"clock_position":370,"value":311},{"alpha_index":564,"clock_position":564,"value":268},{"alpha_index":758,"clock_position":758,"value":697},{"alpha_index":952,"clock_position":952,"value":75},{"alpha_index":1146,"clock_position":1146,"value":504}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,371,565,759,953,1147],"clock_positions":[177,371,565,759,953,1147],"native_values":[526,53,333,246,333,53],"rotation_degrees":54.74226804123711,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":526},{"alpha_index":371,"clock_position":371,"value":53},{"alpha_index":565,"clock_position":565,"value":333},{"alpha_index":759,"clock_position":759,"value":246},{"alpha_index":953,"clock_position":953,"value":333},{"alpha_index":1147,"clock_position":1147,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,372,566,760,954,1148],"clock_positions":[178,372,566,760,954,1148],"native_values":[215,364,601,171,408,557],"rotation_degrees":55.05154639175258,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":215},{"alpha_index":372,"clock_position":372,"value":364},{"alpha_index":566,"clock_position":566,"value":601},{"alpha_index":760,"clock_position":760,"value":171},{"alpha_index":954,"clock_position":954,"value":408},{"alpha_index":1148,"clock_position":1148,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,373,567,761,955,1149],"clock_positions":[179,373,567,761,955,1149],"native_values":[741,417,162,417,741,610],"rotation_degrees":55.36082474226804,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":741},{"alpha_index":373,"clock_position":373,"value":417},{"alpha_index":567,"clock_position":567,"value":162},{"alpha_index":761,"clock_position":761,"value":417},{"alpha_index":955,"clock_position":955,"value":741},{"alpha_index":1149,"clock_position":1149,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,374,568,762,956,1150],"clock_positions":[180,374,568,762,956,1150],"native_values":[184,9,763,588,377,395],"rotation_degrees":55.670103092783506,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":184},{"alpha_index":568,"clock_position":568,"value":763},{"alpha_index":762,"clock_position":762,"value":588},{"alpha_index":956,"clock_position":956,"value":377},{"alpha_index":1150,"clock_position":1150,"value":395}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,375,569,763,957,1151],"clock_positions":[181,375,569,763,957,1151],"native_values":[153,426,153,233,346,233],"rotation_degrees":55.97938144329897,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":153},{"alpha_index":375,"clock_position":375,"value":426},{"alpha_index":569,"clock_position":569,"value":153},{"alpha_index":763,"clock_position":763,"value":233},{"alpha_index":957,"clock_position":957,"value":346},{"alpha_index":1151,"clock_position":1151,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,376,570,764,958,1152],"clock_positions":[182,376,570,764,958,1152],"native_values":[337,435,144,49,723,628],"rotation_degrees":56.28865979381443,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":337},{"alpha_index":376,"clock_position":376,"value":435},{"alpha_index":570,"clock_position":570,"value":144},{"alpha_index":764,"clock_position":764,"value":49},{"alpha_index":958,"clock_position":958,"value":723},{"alpha_index":1152,"clock_position":1152,"value":628}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,377,571,765,959,1153],"clock_positions":[183,377,571,765,959,1153],"native_values":[490,89,297,282,297,89],"rotation_degrees":56.597938144329895,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":490},{"alpha_index":377,"clock_position":377,"value":89},{"alpha_index":571,"clock_position":571,"value":297},{"alpha_index":765,"clock_position":765,"value":282},{"alpha_index":959,"clock_position":959,"value":297},{"alpha_index":1153,"clock_position":1153,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,378,572,766,960,1154],"clock_positions":[184,378,572,766,960,1154],"native_values":[55,524,441,331,248,717],"rotation_degrees":56.90721649484536,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":55},{"alpha_index":378,"clock_position":378,"value":524},{"alpha_index":572,"clock_position":572,"value":441},{"alpha_index":766,"clock_position":766,"value":331},{"alpha_index":960,"clock_position":960,"value":248},{"alpha_index":1154,"clock_position":1154,"value":717}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,379,573,767,961,1155],"clock_positions":[185,379,573,767,961,1155],"native_values":[545,613,738,613,545,34],"rotation_degrees":57.21649484536083,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":545},{"alpha_index":379,"clock_position":379,"value":613},{"alpha_index":573,"clock_position":573,"value":738},{"alpha_index":767,"clock_position":767,"value":613},{"alpha_index":961,"clock_position":961,"value":545},{"alpha_index":1155,"clock_position":1155,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,380,574,768,962,1156],"clock_positions":[186,380,574,768,962,1156],"native_values":[600,365,407,172,21,751],"rotation_degrees":57.52577319587629,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":600},{"alpha_index":380,"clock_position":380,"value":365},{"alpha_index":574,"clock_position":574,"value":407},{"alpha_index":768,"clock_position":768,"value":172},{"alpha_index":962,"clock_position":962,"value":21},{"alpha_index":1156,"clock_position":1156,"value":751}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,381,575,769,963,1157],"clock_positions":[187,381,575,769,963,1157],"native_values":[373,206,373,13,566,13],"rotation_degrees":57.83505154639175,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":373},{"alpha_index":381,"clock_position":381,"value":206},{"alpha_index":575,"clock_position":575,"value":373},{"alpha_index":769,"clock_position":769,"value":13},{"alpha_index":963,"clock_position":963,"value":566},{"alpha_index":1157,"clock_position":1157,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,382,576,770,964,1158],"clock_positions":[188,382,576,770,964,1158],"native_values":[201,571,8,185,587,764],"rotation_degrees":58.144329896907216,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":201},{"alpha_index":382,"clock_position":382,"value":571},{"alpha_index":576,"clock_position":576,"value":8},{"alpha_index":770,"clock_position":770,"value":185},{"alpha_index":964,"clock_position":964,"value":587},{"alpha_index":1158,"clock_position":1158,"value":764}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,383,577,771,965,1159],"clock_positions":[189,383,577,771,965,1159],"native_values":[574,5,381,198,381,5],"rotation_degrees":58.45360824742268,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":574},{"alpha_index":383,"clock_position":383,"value":5},{"alpha_index":577,"clock_position":577,"value":381},{"alpha_index":771,"clock_position":771,"value":198},{"alpha_index":965,"clock_position":965,"value":381},{"alpha_index":1159,"clock_position":1159,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,384,578,772,966,1160],"clock_positions":[190,384,578,772,966,1160],"native_values":[3,576,389,383,196,769],"rotation_degrees":58.76288659793814,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":384,"clock_position":384,"value":576},{"alpha_index":578,"clock_position":578,"value":389},{"alpha_index":772,"clock_position":772,"value":383},{"alpha_index":966,"clock_position":966,"value":196},{"alpha_index":1160,"clock_position":1160,"value":769}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,385,579,773,967,1161],"clock_positions":[191,385,579,773,967,1161],"native_values":[577,581,770,581,577,2],"rotation_degrees":59.07216494845361,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":577},{"alpha_index":385,"clock_position":385,"value":581},{"alpha_index":579,"clock_position":579,"value":770},{"alpha_index":773,"clock_position":773,"value":581},{"alpha_index":967,"clock_position":967,"value":577},{"alpha_index":1161,"clock_position":1161,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,386,580,774,968,1162],"clock_positions":[192,386,580,774,968,1162],"native_values":[580,385,387,192,1,771],"rotation_degrees":59.381443298969074,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":580},{"alpha_index":386,"clock_position":386,"value":385},{"alpha_index":580,"clock_position":580,"value":387},{"alpha_index":774,"clock_position":774,"value":192},{"alpha_index":968,"clock_position":968,"value":1},{"alpha_index":1162,"clock_position":1162,"value":771}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,387,581,775,969,1163],"clock_positions":[193,387,581,775,969,1163],"native_values":[385,194,385,1,578,1],"rotation_degrees":59.69072164948454,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":385},{"alpha_index":387,"clock_position":387,"value":194},{"alpha_index":581,"clock_position":581,"value":385},{"alpha_index":775,"clock_position":775,"value":1},{"alpha_index":969,"clock_position":969,"value":578},{"alpha_index":1163,"clock_position":1163,"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/m772/alpha.svg","png":"pilot-v1/views/m772/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m772/beta.svg","png":"pilot-v1/views/m772/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m772/gamma.svg","png":"pilot-v1/views/m772/gamma.png"},{"id":"fibonacci-m772p1164","name":"Fibonacci M772P1164","svg":"pilot-v1/views/m772/fibonacci-m772p1164.svg","png":"pilot-v1/views/m772/fibonacci-m772p1164.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}}