{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m718-p1074","name":"Fibonacci M718P1074","modulus":718,"pisano_period":1074,"conventions":{"index_origin":0,"clock_labels":[1074,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073],"orientation":"clockwise from north","zero_display":718,"alpha_circle_positions":1074,"beta_circle_positions":718,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,269,161,430,591,303,176,479,655,416,353,51,404,455,141,596,19,615,634,531,447,260,707,249,238,487,7,494,501,277,60,337,397,16,413,429,124,553,677,512,471,265,18,283,301,584,167,33,200,233,433,666,381,329,710,321,313,634,229,145,374,519,175,694,151,127,278,405,683,370,335,705,322,309,631,222,135,357,492,131,623,36,659,695,636,613,531,426,239,665,186,133,319,452,53,505,558,345,185,530,715,527,524,333,139,472,611,365,258,623,163,68,231,299,530,111,641,34,675,709,666,657,605,544,431,257,688,227,197,424,621,327,230,557,69,626,695,603,580,465,327,74,401,475,158,633,73,706,61,49,110,159,269,428,697,407,386,75,461,536,279,97,376,473,131,604,17,621,638,541,461,284,27,311,338,649,269,200,469,669,420,371,73,444,517,243,42,285,327,612,221,115,336,451,69,520,589,391,262,653,197,132,329,461,72,533,605,420,307,9,316,325,641,248,171,419,590,291,163,454,617,353,252,605,139,26,165,191,356,547,185,14,199,213,412,625,319,226,545,53,598,651,531,464,277,23,300,323,623,228,133,361,494,137,631,50,681,13,694,707,683,672,637,591,510,383,175,558,15,573,588,443,313,38,351,389,22,411,433,126,559,685,526,493,301,76,377,453,112,565,677,524,483,289,54,343,397,22,419,441,142,583,7,590,597,469,348,99,447,546,275,103,378,481,141,622,45,667,712,661,655,598,535,415,232,647,161,90,251,341,592,215,89,304,393,697,372,351,5,356,361,717,360,359,1,360,361,3,364,367,13,380,393,55,448,503,233,18,251,269,520,71,591,662,535,479,296,57,353,410,45,455,500,237,19,256,275,531,88,619,707,608,597,487,366,135,501,636,419,337,38,375,413,70,483,553,318,153,471,624,377,283,660,225,167,392,559,233,74,307,381,688,351,321,672,275,229,504,15,519,534,335,151,486,637,405,324,11,335,346,681,309,272,581,135,716,133,131,264,395,659,336,277,613,172,67,239,306,545,133,678,93,53,146,199,345,544,171,715,168,165,333,498,113,611,6,617,623,522,427,231,658,171,111,282,393,675,350,307,657,246,185,431,616,329,227,556,65,621,686,589,557,428,267,695,244,221,465,686,433,401,116,517,633,432,347,61,408,469,159,628,69,697,48,27,75,102,177,279,456,17,473,490,245,17,262,279,541,102,643,27,670,697,649,628,559,469,310,61,371,432,85,517,602,401,285,686,253,221,474,695,451,428,161,589,32,621,653,556,491,329,102,431,533,246,61,307,368,675,325,282,607,171,60,231,291,522,95,617,712,611,605,498,385,165,550,715,547,544,373,199,572,53,625,678,585,545,412,239,651,172,105,277,382,659,323,264,587,133,2,135,137,272,409,681,372,335,707,324,313,637,232,151,383,534,199,15,214,229,443,672,397,351,30,381,411,74,485,559,326,167,493,660,435,377,94,471,565,318,165,483,648,413,343,38,381,419,82,501,583,366,231,597,110,707,99,88,187,275,462,19,481,500,263,45,308,353,661,296,239,535,56,591,647,520,449,251,700,233,215,448,663,393,338,13,351,364,715,361,358,1,359,360,1,361,362,5,367,372,21,393,414,89,503,592,377,251,628,161,71,232,303,535,120,655,57,712,51,45,96,141,237,378,615,275,172,447,619,348,249,597,128,7,135,142,277,419,696,397,375,54,429,483,194,677,153,112,265,377,642,301,225,526,33,559,592,433,307,22,329,351,680,313,275,588,145,15,160,175,335,510,127,637,46,683,11,694,705,681,668,631,581,494,357,133,490,623,395,300,695,277,254,531,67,598,665,545,492,319,93,412,505,199,704,185,171,356,527,165,692,139,113,252,365,617,264,163,427,590,299,171,470,641,393,316,709,307,298,605,185,72,257,329,586,197,65,262,327,589,198,69,267,336,603,221,106,327,433,42,475,517,274,73,347,420,49,469,518,269,69,338,407,27,434,461,177,638,97,17,114,131,245,376,621,279,182,461,643,386,311,697,290,269,559,110,669,61,12,73,85,158,243,401,644,327,253,580,115,695,92,69,161,230,391,621,294,197,491,688,461,431,174,605,61,666,9,675,684,641,607,530,419,231,650,163,95,258,353,611,246,139,385,524,191,715,188,185,373,558,213,53,266,319,585,186,53,239,292,531,105,636,23,659,682,623,587,492,361,135,496,631,409,322,13,335,348,683,313,278,591,151,24,175,199,374,573,229,84,313,397,710,389,381,52,433,485,200,685,167,134,301,435,18,453,471,206,677,165,124,289,413,702,397,381,60,441,501,224,7,231,238,469,707,458,447,187,634,103,19,122,141,263,404,667,353,302,655,239,176,415,591,288,161,449,610,341,233,574,89,663,34,697,13,710,5,715,2,717,1],"display_values":[718,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,269,161,430,591,303,176,479,655,416,353,51,404,455,141,596,19,615,634,531,447,260,707,249,238,487,7,494,501,277,60,337,397,16,413,429,124,553,677,512,471,265,18,283,301,584,167,33,200,233,433,666,381,329,710,321,313,634,229,145,374,519,175,694,151,127,278,405,683,370,335,705,322,309,631,222,135,357,492,131,623,36,659,695,636,613,531,426,239,665,186,133,319,452,53,505,558,345,185,530,715,527,524,333,139,472,611,365,258,623,163,68,231,299,530,111,641,34,675,709,666,657,605,544,431,257,688,227,197,424,621,327,230,557,69,626,695,603,580,465,327,74,401,475,158,633,73,706,61,49,110,159,269,428,697,407,386,75,461,536,279,97,376,473,131,604,17,621,638,541,461,284,27,311,338,649,269,200,469,669,420,371,73,444,517,243,42,285,327,612,221,115,336,451,69,520,589,391,262,653,197,132,329,461,72,533,605,420,307,9,316,325,641,248,171,419,590,291,163,454,617,353,252,605,139,26,165,191,356,547,185,14,199,213,412,625,319,226,545,53,598,651,531,464,277,23,300,323,623,228,133,361,494,137,631,50,681,13,694,707,683,672,637,591,510,383,175,558,15,573,588,443,313,38,351,389,22,411,433,126,559,685,526,493,301,76,377,453,112,565,677,524,483,289,54,343,397,22,419,441,142,583,7,590,597,469,348,99,447,546,275,103,378,481,141,622,45,667,712,661,655,598,535,415,232,647,161,90,251,341,592,215,89,304,393,697,372,351,5,356,361,717,360,359,1,360,361,3,364,367,13,380,393,55,448,503,233,18,251,269,520,71,591,662,535,479,296,57,353,410,45,455,500,237,19,256,275,531,88,619,707,608,597,487,366,135,501,636,419,337,38,375,413,70,483,553,318,153,471,624,377,283,660,225,167,392,559,233,74,307,381,688,351,321,672,275,229,504,15,519,534,335,151,486,637,405,324,11,335,346,681,309,272,581,135,716,133,131,264,395,659,336,277,613,172,67,239,306,545,133,678,93,53,146,199,345,544,171,715,168,165,333,498,113,611,6,617,623,522,427,231,658,171,111,282,393,675,350,307,657,246,185,431,616,329,227,556,65,621,686,589,557,428,267,695,244,221,465,686,433,401,116,517,633,432,347,61,408,469,159,628,69,697,48,27,75,102,177,279,456,17,473,490,245,17,262,279,541,102,643,27,670,697,649,628,559,469,310,61,371,432,85,517,602,401,285,686,253,221,474,695,451,428,161,589,32,621,653,556,491,329,102,431,533,246,61,307,368,675,325,282,607,171,60,231,291,522,95,617,712,611,605,498,385,165,550,715,547,544,373,199,572,53,625,678,585,545,412,239,651,172,105,277,382,659,323,264,587,133,2,135,137,272,409,681,372,335,707,324,313,637,232,151,383,534,199,15,214,229,443,672,397,351,30,381,411,74,485,559,326,167,493,660,435,377,94,471,565,318,165,483,648,413,343,38,381,419,82,501,583,366,231,597,110,707,99,88,187,275,462,19,481,500,263,45,308,353,661,296,239,535,56,591,647,520,449,251,700,233,215,448,663,393,338,13,351,364,715,361,358,1,359,360,1,361,362,5,367,372,21,393,414,89,503,592,377,251,628,161,71,232,303,535,120,655,57,712,51,45,96,141,237,378,615,275,172,447,619,348,249,597,128,7,135,142,277,419,696,397,375,54,429,483,194,677,153,112,265,377,642,301,225,526,33,559,592,433,307,22,329,351,680,313,275,588,145,15,160,175,335,510,127,637,46,683,11,694,705,681,668,631,581,494,357,133,490,623,395,300,695,277,254,531,67,598,665,545,492,319,93,412,505,199,704,185,171,356,527,165,692,139,113,252,365,617,264,163,427,590,299,171,470,641,393,316,709,307,298,605,185,72,257,329,586,197,65,262,327,589,198,69,267,336,603,221,106,327,433,42,475,517,274,73,347,420,49,469,518,269,69,338,407,27,434,461,177,638,97,17,114,131,245,376,621,279,182,461,643,386,311,697,290,269,559,110,669,61,12,73,85,158,243,401,644,327,253,580,115,695,92,69,161,230,391,621,294,197,491,688,461,431,174,605,61,666,9,675,684,641,607,530,419,231,650,163,95,258,353,611,246,139,385,524,191,715,188,185,373,558,213,53,266,319,585,186,53,239,292,531,105,636,23,659,682,623,587,492,361,135,496,631,409,322,13,335,348,683,313,278,591,151,24,175,199,374,573,229,84,313,397,710,389,381,52,433,485,200,685,167,134,301,435,18,453,471,206,677,165,124,289,413,702,397,381,60,441,501,224,7,231,238,469,707,458,447,187,634,103,19,122,141,263,404,667,353,302,655,239,176,415,591,288,161,449,610,341,233,574,89,663,34,697,13,710,5,715,2,717,1]},"gamma":{"alpha_indices":[0,4,8,12,19,20,26,29,32,34,35,38,43,45,50,55,57,62,66,67,70,76,82,86,88,90,91,92,93,96,99,101,102,105,111,112,118,123,127,130,133,135,136,145,146,149,152,154,155,160,166,172,175,182,187,194,195,198,200,201,202,203,204,207,209,216,219,222,224,229,232,237,241,248,256,257,261,264,271,276,278,279,282,283,284,285,289,292,294,302,307,309,314,319,321,322,323,324,327,329,331,342,349,351,352,356,357,360,362,367,372,377,382,385,388,392,397,399,400,401,402,406,409,411,412,413,414,417,418,425,427,428,429,432,433,434,435,438,440,441,445,446,449,453,456,462,465,466,470,472,474,475,476,477,480,483,485,487,488,489,490,491,494,495,503,508,512,518,519,522,524,526,528,529,530,531,532,533,534,541,543,545,555,560,564,571,576,579,583,585,587,588,589,590,591,597,599,609,610,614,616,621,625,629,630,633,639,641,645,647,648,649,650,657,658,661,663,664,665,666,670,673,675,676,677,680,684,689,697,706,707,710,717,723,724,725,726,736,738,740,742,743,744,745,746,747,748,751,753,754,755,758,762,764,765,766,767,770,774,776,778,785,789,791,795,802,803,808,813,817,822,824,830,833,837,840,845,848,855,862,864,865,866,867,868,871,873,879,884,887,890,894,898,899,910,912,916,919,925,929,930,936,939,940,941,942,947,951,954,963,964,968,969,973,974,975,981,983,990,994,996,1000,1002,1007,1016,1017,1018,1019,1022,1026,1028,1029,1030,1031,1034,1039,1045,1055,1056,1064,1072],"clock_positions":[1074,4,8,12,19,20,26,29,32,34,35,38,43,45,50,55,57,62,66,67,70,76,82,86,88,90,91,92,93,96,99,101,102,105,111,112,118,123,127,130,133,135,136,145,146,149,152,154,155,160,166,172,175,182,187,194,195,198,200,201,202,203,204,207,209,216,219,222,224,229,232,237,241,248,256,257,261,264,271,276,278,279,282,283,284,285,289,292,294,302,307,309,314,319,321,322,323,324,327,329,331,342,349,351,352,356,357,360,362,367,372,377,382,385,388,392,397,399,400,401,402,406,409,411,412,413,414,417,418,425,427,428,429,432,433,434,435,438,440,441,445,446,449,453,456,462,465,466,470,472,474,475,476,477,480,483,485,487,488,489,490,491,494,495,503,508,512,518,519,522,524,526,528,529,530,531,532,533,534,541,543,545,555,560,564,571,576,579,583,585,587,588,589,590,591,597,599,609,610,614,616,621,625,629,630,633,639,641,645,647,648,649,650,657,658,661,663,664,665,666,670,673,675,676,677,680,684,689,697,706,707,710,717,723,724,725,726,736,738,740,742,743,744,745,746,747,748,751,753,754,755,758,762,764,765,766,767,770,774,776,778,785,789,791,795,802,803,808,813,817,822,824,830,833,837,840,845,848,855,862,864,865,866,867,868,871,873,879,884,887,890,894,898,899,910,912,916,919,925,929,930,936,939,940,941,942,947,951,954,963,964,968,969,973,974,975,981,983,990,994,996,1000,1002,1007,1016,1017,1018,1019,1022,1026,1028,1029,1030,1031,1034,1039,1045,1055,1056,1064,1072],"clockwise_values":[718,3,21,144,591,303,51,141,615,531,447,249,501,60,429,471,18,33,666,381,321,519,405,705,309,222,135,357,492,36,636,531,426,186,558,345,333,258,231,111,675,666,657,621,327,69,603,465,327,633,159,75,279,621,27,669,420,444,243,42,285,327,612,336,69,132,72,420,9,171,291,252,165,213,651,531,300,228,681,672,591,510,558,15,573,588,351,411,126,453,483,54,441,597,348,99,447,546,378,141,45,90,393,372,351,717,360,360,3,393,18,591,57,45,237,531,597,366,135,501,636,375,483,318,153,471,624,660,225,381,351,321,672,504,15,519,534,486,405,324,681,309,135,264,336,306,678,93,345,171,168,165,333,498,6,522,231,171,111,282,393,675,657,246,621,267,465,633,432,408,159,69,48,27,75,102,177,279,456,279,102,27,432,285,474,621,102,246,675,282,171,60,231,291,522,498,165,678,585,651,105,264,135,681,372,324,534,15,672,351,30,381,411,660,435,471,318,165,483,648,381,501,366,231,597,99,462,45,591,663,393,351,360,372,21,393,414,303,120,57,51,45,96,141,237,378,615,447,348,249,597,135,696,375,54,429,483,153,642,225,33,351,588,15,510,705,681,357,300,531,492,93,171,165,252,264,171,393,72,327,198,69,267,336,603,327,42,420,69,27,177,114,621,279,669,12,243,327,69,621,294,174,666,9,675,684,231,258,246,558,213,585,186,531,105,636,492,135,348,591,24,573,84,381,435,18,453,471,165,702,381,60,441,501,231,447,141,591,288,663,717],"triangle_paths":[]},"beta":{"interval_sums":[4,26,178,2080,0,2079,859,615,634,0,967,1226,277,1163,1866,265,1335,866,0,1039,1695,1425,1388,322,631,0,0,0,754,1354,613,0,904,1462,0,2481,1587,854,829,675,709,0,3373,0,787,1321,580,0,1108,999,2187,997,1698,1924,2236,0,444,517,0,0,0,0,336,451,2612,790,1138,307,1530,1009,1587,770,1492,2778,0,764,946,1806,2097,637,0,558,0,0,0,794,411,433,3017,1878,289,1181,1322,469,0,0,0,378,481,622,5283,1792,697,0,722,0,360,361,1124,1239,1111,1972,763,955,550,2022,487,0,0,0,794,483,553,0,0,0,660,0,1732,688,0,0,504,0,0,0,486,637,0,692,0,853,980,1054,1368,678,0,398,544,715,0,0,0,724,1240,427,658,0,0,0,0,657,0,2409,2260,1160,2153,0,408,469,628,697,0,0,0,0,0,0,1504,541,643,4414,1605,1160,2356,2029,964,736,325,607,0,0,0,0,2640,385,4178,0,1196,172,1641,722,818,0,1042,1716,199,886,397,0,0,0,2104,0,471,565,0,0,0,794,501,583,0,0,817,550,1263,2448,3463,0,351,2158,1096,0,0,0,2904,535,655,712,0,0,0,0,0,0,447,619,0,0,135,838,397,0,0,0,871,754,301,526,2242,1268,145,670,2198,0,2374,1641,1226,1875,319,2005,883,944,982,1479,1111,2420,1696,589,0,0,0,0,327,433,1686,1305,745,895,752,752,0,3908,61,316,1045,1735,782,0,2268,666,0,0,0,2197,908,964,2700,0,638,0,584,0,0,2574,361,2206,1274,151,748,229,1809,2457,0,0,0,883,826,397,0,0,0,231,1872,1065,3474,0,2457,2176,1],"interval_residues":[4,26,178,644,0,643,141,615,634,0,249,508,277,445,430,265,617,148,0,321,259,707,670,322,631,0,0,0,36,636,613,0,186,26,0,327,151,136,111,675,709,0,501,0,69,603,580,0,390,281,33,279,262,488,82,0,444,517,0,0,0,0,336,451,458,72,420,307,94,291,151,52,56,624,0,46,228,370,661,637,0,558,0,0,0,76,411,433,145,442,289,463,604,469,0,0,0,378,481,622,257,356,697,0,4,0,360,361,406,521,393,536,45,237,550,586,487,0,0,0,76,483,553,0,0,0,660,0,296,688,0,0,504,0,0,0,486,637,0,692,0,135,262,336,650,678,0,398,544,715,0,0,0,6,522,427,658,0,0,0,0,657,0,255,106,442,717,0,408,469,628,697,0,0,0,0,0,0,68,541,643,106,169,442,202,593,246,18,325,607,0,0,0,0,486,385,588,0,478,172,205,4,100,0,324,280,199,168,397,0,0,0,668,0,471,565,0,0,0,76,501,583,0,0,99,550,545,294,591,0,351,4,378,0,0,0,32,535,655,712,0,0,0,0,0,0,447,619,0,0,135,120,397,0,0,0,153,36,301,526,88,550,145,670,44,0,220,205,508,439,319,569,165,226,264,43,393,266,260,589,0,0,0,0,327,433,250,587,27,177,34,34,0,318,61,316,327,299,64,0,114,666,0,0,0,43,190,246,546,0,638,0,584,0,0,420,361,52,556,151,30,229,373,303,0,0,0,165,108,397,0,0,0,231,436,347,602,0,303,22,1],"display_cycle":[4,26,178,644,718,643,141,615,634,718,249,508,277,445,430,265,617,148,718,321,259,707,670,322,631,718,718,718,36,636,613,718,186,26,718,327,151,136,111,675,709,718,501,718,69,603,580,718,390,281,33,279,262,488,82,718,444,517,718,718,718,718,336,451,458,72,420,307,94,291,151,52,56,624,718,46,228,370,661,637,718,558,718,718,718,76,411,433,145,442,289,463,604,469,718,718,718,378,481,622,257,356,697,718,4,718,360,361,406,521,393,536,45,237,550,586,487,718,718,718,76,483,553,718,718,718,660,718,296,688,718,718,504,718,718,718,486,637,718,692,718,135,262,336,650,678,718,398,544,715,718,718,718,6,522,427,658,718,718,718,718,657,718,255,106,442,717,718,408,469,628,697,718,718,718,718,718,718,68,541,643,106,169,442,202,593,246,18,325,607,718,718,718,718,486,385,588,718,478,172,205,4,100,718,324,280,199,168,397,718,718,718,668,718,471,565,718,718,718,76,501,583,718,718,99,550,545,294,591,718,351,4,378,718,718,718,32,535,655,712,718,718,718,718,718,718,447,619,718,718,135,120,397,718,718,718,153,36,301,526,88,550,145,670,44,718,220,205,508,439,319,569,165,226,264,43,393,266,260,589,718,718,718,718,327,433,250,587,27,177,34,34,718,318,61,316,327,299,64,718,114,666,718,718,718,43,190,246,546,718,638,718,584,718,718,420,361,52,556,151,30,229,373,303,718,718,718,165,108,397,718,718,718,231,436,347,602,718,303,22,1],"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":[233,377,610,269,161,430],"sum":2080,"residue":644},{"from_index":19,"to_index":20,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":20,"to_index":26,"interior_indices":[21,22,23,24,25],"interior_values":[176,479,655,416,353],"sum":2079,"residue":643},{"from_index":26,"to_index":29,"interior_indices":[27,28],"interior_values":[404,455],"sum":859,"residue":141},{"from_index":29,"to_index":32,"interior_indices":[30,31],"interior_values":[596,19],"sum":615,"residue":615},{"from_index":32,"to_index":34,"interior_indices":[33],"interior_values":[634],"sum":634,"residue":634},{"from_index":34,"to_index":35,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":35,"to_index":38,"interior_indices":[36,37],"interior_values":[260,707],"sum":967,"residue":249},{"from_index":38,"to_index":43,"interior_indices":[39,40,41,42],"interior_values":[238,487,7,494],"sum":1226,"residue":508},{"from_index":43,"to_index":45,"interior_indices":[44],"interior_values":[277],"sum":277,"residue":277},{"from_index":45,"to_index":50,"interior_indices":[46,47,48,49],"interior_values":[337,397,16,413],"sum":1163,"residue":445},{"from_index":50,"to_index":55,"interior_indices":[51,52,53,54],"interior_values":[124,553,677,512],"sum":1866,"residue":430},{"from_index":55,"to_index":57,"interior_indices":[56],"interior_values":[265],"sum":265,"residue":265},{"from_index":57,"to_index":62,"interior_indices":[58,59,60,61],"interior_values":[283,301,584,167],"sum":1335,"residue":617},{"from_index":62,"to_index":66,"interior_indices":[63,64,65],"interior_values":[200,233,433],"sum":866,"residue":148},{"from_index":66,"to_index":67,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":67,"to_index":70,"interior_indices":[68,69],"interior_values":[329,710],"sum":1039,"residue":321},{"from_index":70,"to_index":76,"interior_indices":[71,72,73,74,75],"interior_values":[313,634,229,145,374],"sum":1695,"residue":259},{"from_index":76,"to_index":82,"interior_indices":[77,78,79,80,81],"interior_values":[175,694,151,127,278],"sum":1425,"residue":707},{"from_index":82,"to_index":86,"interior_indices":[83,84,85],"interior_values":[683,370,335],"sum":1388,"residue":670},{"from_index":86,"to_index":88,"interior_indices":[87],"interior_values":[322],"sum":322,"residue":322},{"from_index":88,"to_index":90,"interior_indices":[89],"interior_values":[631],"sum":631,"residue":631},{"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":93,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":93,"to_index":96,"interior_indices":[94,95],"interior_values":[131,623],"sum":754,"residue":36},{"from_index":96,"to_index":99,"interior_indices":[97,98],"interior_values":[659,695],"sum":1354,"residue":636},{"from_index":99,"to_index":101,"interior_indices":[100],"interior_values":[613],"sum":613,"residue":613},{"from_index":101,"to_index":102,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":102,"to_index":105,"interior_indices":[103,104],"interior_values":[239,665],"sum":904,"residue":186},{"from_index":105,"to_index":111,"interior_indices":[106,107,108,109,110],"interior_values":[133,319,452,53,505],"sum":1462,"residue":26},{"from_index":111,"to_index":112,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":112,"to_index":118,"interior_indices":[113,114,115,116,117],"interior_values":[185,530,715,527,524],"sum":2481,"residue":327},{"from_index":118,"to_index":123,"interior_indices":[119,120,121,122],"interior_values":[139,472,611,365],"sum":1587,"residue":151},{"from_index":123,"to_index":127,"interior_indices":[124,125,126],"interior_values":[623,163,68],"sum":854,"residue":136},{"from_index":127,"to_index":130,"interior_indices":[128,129],"interior_values":[299,530],"sum":829,"residue":111},{"from_index":130,"to_index":133,"interior_indices":[131,132],"interior_values":[641,34],"sum":675,"residue":675},{"from_index":133,"to_index":135,"interior_indices":[134],"interior_values":[709],"sum":709,"residue":709},{"from_index":135,"to_index":136,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":136,"to_index":145,"interior_indices":[137,138,139,140,141,142,143,144],"interior_values":[605,544,431,257,688,227,197,424],"sum":3373,"residue":501},{"from_index":145,"to_index":146,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":146,"to_index":149,"interior_indices":[147,148],"interior_values":[230,557],"sum":787,"residue":69},{"from_index":149,"to_index":152,"interior_indices":[150,151],"interior_values":[626,695],"sum":1321,"residue":603},{"from_index":152,"to_index":154,"interior_indices":[153],"interior_values":[580],"sum":580,"residue":580},{"from_index":154,"to_index":155,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":155,"to_index":160,"interior_indices":[156,157,158,159],"interior_values":[74,401,475,158],"sum":1108,"residue":390},{"from_index":160,"to_index":166,"interior_indices":[161,162,163,164,165],"interior_values":[73,706,61,49,110],"sum":999,"residue":281},{"from_index":166,"to_index":172,"interior_indices":[167,168,169,170,171],"interior_values":[269,428,697,407,386],"sum":2187,"residue":33},{"from_index":172,"to_index":175,"interior_indices":[173,174],"interior_values":[461,536],"sum":997,"residue":279},{"from_index":175,"to_index":182,"interior_indices":[176,177,178,179,180,181],"interior_values":[97,376,473,131,604,17],"sum":1698,"residue":262},{"from_index":182,"to_index":187,"interior_indices":[183,184,185,186],"interior_values":[638,541,461,284],"sum":1924,"residue":488},{"from_index":187,"to_index":194,"interior_indices":[188,189,190,191,192,193],"interior_values":[311,338,649,269,200,469],"sum":2236,"residue":82},{"from_index":194,"to_index":195,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":195,"to_index":198,"interior_indices":[196,197],"interior_values":[371,73],"sum":444,"residue":444},{"from_index":198,"to_index":200,"interior_indices":[199],"interior_values":[517],"sum":517,"residue":517},{"from_index":200,"to_index":201,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":201,"to_index":202,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":202,"to_index":203,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":203,"to_index":204,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":204,"to_index":207,"interior_indices":[205,206],"interior_values":[221,115],"sum":336,"residue":336},{"from_index":207,"to_index":209,"interior_indices":[208],"interior_values":[451],"sum":451,"residue":451},{"from_index":209,"to_index":216,"interior_indices":[210,211,212,213,214,215],"interior_values":[520,589,391,262,653,197],"sum":2612,"residue":458},{"from_index":216,"to_index":219,"interior_indices":[217,218],"interior_values":[329,461],"sum":790,"residue":72},{"from_index":219,"to_index":222,"interior_indices":[220,221],"interior_values":[533,605],"sum":1138,"residue":420},{"from_index":222,"to_index":224,"interior_indices":[223],"interior_values":[307],"sum":307,"residue":307},{"from_index":224,"to_index":229,"interior_indices":[225,226,227,228],"interior_values":[316,325,641,248],"sum":1530,"residue":94},{"from_index":229,"to_index":232,"interior_indices":[230,231],"interior_values":[419,590],"sum":1009,"residue":291},{"from_index":232,"to_index":237,"interior_indices":[233,234,235,236],"interior_values":[163,454,617,353],"sum":1587,"residue":151},{"from_index":237,"to_index":241,"interior_indices":[238,239,240],"interior_values":[605,139,26],"sum":770,"residue":52},{"from_index":241,"to_index":248,"interior_indices":[242,243,244,245,246,247],"interior_values":[191,356,547,185,14,199],"sum":1492,"residue":56},{"from_index":248,"to_index":256,"interior_indices":[249,250,251,252,253,254,255],"interior_values":[412,625,319,226,545,53,598],"sum":2778,"residue":624},{"from_index":256,"to_index":257,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":257,"to_index":261,"interior_indices":[258,259,260],"interior_values":[464,277,23],"sum":764,"residue":46},{"from_index":261,"to_index":264,"interior_indices":[262,263],"interior_values":[323,623],"sum":946,"residue":228},{"from_index":264,"to_index":271,"interior_indices":[265,266,267,268,269,270],"interior_values":[133,361,494,137,631,50],"sum":1806,"residue":370},{"from_index":271,"to_index":276,"interior_indices":[272,273,274,275],"interior_values":[13,694,707,683],"sum":2097,"residue":661},{"from_index":276,"to_index":278,"interior_indices":[277],"interior_values":[637],"sum":637,"residue":637},{"from_index":278,"to_index":279,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":279,"to_index":282,"interior_indices":[280,281],"interior_values":[383,175],"sum":558,"residue":558},{"from_index":282,"to_index":283,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":283,"to_index":284,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":284,"to_index":285,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":285,"to_index":289,"interior_indices":[286,287,288],"interior_values":[443,313,38],"sum":794,"residue":76},{"from_index":289,"to_index":292,"interior_indices":[290,291],"interior_values":[389,22],"sum":411,"residue":411},{"from_index":292,"to_index":294,"interior_indices":[293],"interior_values":[433],"sum":433,"residue":433},{"from_index":294,"to_index":302,"interior_indices":[295,296,297,298,299,300,301],"interior_values":[559,685,526,493,301,76,377],"sum":3017,"residue":145},{"from_index":302,"to_index":307,"interior_indices":[303,304,305,306],"interior_values":[112,565,677,524],"sum":1878,"residue":442},{"from_index":307,"to_index":309,"interior_indices":[308],"interior_values":[289],"sum":289,"residue":289},{"from_index":309,"to_index":314,"interior_indices":[310,311,312,313],"interior_values":[343,397,22,419],"sum":1181,"residue":463},{"from_index":314,"to_index":319,"interior_indices":[315,316,317,318],"interior_values":[142,583,7,590],"sum":1322,"residue":604},{"from_index":319,"to_index":321,"interior_indices":[320],"interior_values":[469],"sum":469,"residue":469},{"from_index":321,"to_index":322,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":322,"to_index":323,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":323,"to_index":324,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":324,"to_index":327,"interior_indices":[325,326],"interior_values":[275,103],"sum":378,"residue":378},{"from_index":327,"to_index":329,"interior_indices":[328],"interior_values":[481],"sum":481,"residue":481},{"from_index":329,"to_index":331,"interior_indices":[330],"interior_values":[622],"sum":622,"residue":622},{"from_index":331,"to_index":342,"interior_indices":[332,333,334,335,336,337,338,339,340,341],"interior_values":[667,712,661,655,598,535,415,232,647,161],"sum":5283,"residue":257},{"from_index":342,"to_index":349,"interior_indices":[343,344,345,346,347,348],"interior_values":[251,341,592,215,89,304],"sum":1792,"residue":356},{"from_index":349,"to_index":351,"interior_indices":[350],"interior_values":[697],"sum":697,"residue":697},{"from_index":351,"to_index":352,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":352,"to_index":356,"interior_indices":[353,354,355],"interior_values":[5,356,361],"sum":722,"residue":4},{"from_index":356,"to_index":357,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":357,"to_index":360,"interior_indices":[358,359],"interior_values":[359,1],"sum":360,"residue":360},{"from_index":360,"to_index":362,"interior_indices":[361],"interior_values":[361],"sum":361,"residue":361},{"from_index":362,"to_index":367,"interior_indices":[363,364,365,366],"interior_values":[364,367,13,380],"sum":1124,"residue":406},{"from_index":367,"to_index":372,"interior_indices":[368,369,370,371],"interior_values":[55,448,503,233],"sum":1239,"residue":521},{"from_index":372,"to_index":377,"interior_indices":[373,374,375,376],"interior_values":[251,269,520,71],"sum":1111,"residue":393},{"from_index":377,"to_index":382,"interior_indices":[378,379,380,381],"interior_values":[662,535,479,296],"sum":1972,"residue":536},{"from_index":382,"to_index":385,"interior_indices":[383,384],"interior_values":[353,410],"sum":763,"residue":45},{"from_index":385,"to_index":388,"interior_indices":[386,387],"interior_values":[455,500],"sum":955,"residue":237},{"from_index":388,"to_index":392,"interior_indices":[389,390,391],"interior_values":[19,256,275],"sum":550,"residue":550},{"from_index":392,"to_index":397,"interior_indices":[393,394,395,396],"interior_values":[88,619,707,608],"sum":2022,"residue":586},{"from_index":397,"to_index":399,"interior_indices":[398],"interior_values":[487],"sum":487,"residue":487},{"from_index":399,"to_index":400,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":400,"to_index":401,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":401,"to_index":402,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":402,"to_index":406,"interior_indices":[403,404,405],"interior_values":[419,337,38],"sum":794,"residue":76},{"from_index":406,"to_index":409,"interior_indices":[407,408],"interior_values":[413,70],"sum":483,"residue":483},{"from_index":409,"to_index":411,"interior_indices":[410],"interior_values":[553],"sum":553,"residue":553},{"from_index":411,"to_index":412,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[377,283],"sum":660,"residue":660},{"from_index":417,"to_index":418,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":418,"to_index":425,"interior_indices":[419,420,421,422,423,424],"interior_values":[167,392,559,233,74,307],"sum":1732,"residue":296},{"from_index":425,"to_index":427,"interior_indices":[426],"interior_values":[688],"sum":688,"residue":688},{"from_index":427,"to_index":428,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":428,"to_index":429,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":429,"to_index":432,"interior_indices":[430,431],"interior_values":[275,229],"sum":504,"residue":504},{"from_index":432,"to_index":433,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":433,"to_index":434,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":434,"to_index":435,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":435,"to_index":438,"interior_indices":[436,437],"interior_values":[335,151],"sum":486,"residue":486},{"from_index":438,"to_index":440,"interior_indices":[439],"interior_values":[637],"sum":637,"residue":637},{"from_index":440,"to_index":441,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":441,"to_index":445,"interior_indices":[442,443,444],"interior_values":[11,335,346],"sum":692,"residue":692},{"from_index":445,"to_index":446,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":446,"to_index":449,"interior_indices":[447,448],"interior_values":[272,581],"sum":853,"residue":135},{"from_index":449,"to_index":453,"interior_indices":[450,451,452],"interior_values":[716,133,131],"sum":980,"residue":262},{"from_index":453,"to_index":456,"interior_indices":[454,455],"interior_values":[395,659],"sum":1054,"residue":336},{"from_index":456,"to_index":462,"interior_indices":[457,458,459,460,461],"interior_values":[277,613,172,67,239],"sum":1368,"residue":650},{"from_index":462,"to_index":465,"interior_indices":[463,464],"interior_values":[545,133],"sum":678,"residue":678},{"from_index":465,"to_index":466,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":466,"to_index":470,"interior_indices":[467,468,469],"interior_values":[53,146,199],"sum":398,"residue":398},{"from_index":470,"to_index":472,"interior_indices":[471],"interior_values":[544],"sum":544,"residue":544},{"from_index":472,"to_index":474,"interior_indices":[473],"interior_values":[715],"sum":715,"residue":715},{"from_index":474,"to_index":475,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":475,"to_index":476,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":476,"to_index":477,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":477,"to_index":480,"interior_indices":[478,479],"interior_values":[113,611],"sum":724,"residue":6},{"from_index":480,"to_index":483,"interior_indices":[481,482],"interior_values":[617,623],"sum":1240,"residue":522},{"from_index":483,"to_index":485,"interior_indices":[484],"interior_values":[427],"sum":427,"residue":427},{"from_index":485,"to_index":487,"interior_indices":[486],"interior_values":[658],"sum":658,"residue":658},{"from_index":487,"to_index":488,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":488,"to_index":489,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":489,"to_index":490,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":490,"to_index":491,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":491,"to_index":494,"interior_indices":[492,493],"interior_values":[350,307],"sum":657,"residue":657},{"from_index":494,"to_index":495,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":495,"to_index":503,"interior_indices":[496,497,498,499,500,501,502],"interior_values":[185,431,616,329,227,556,65],"sum":2409,"residue":255},{"from_index":503,"to_index":508,"interior_indices":[504,505,506,507],"interior_values":[686,589,557,428],"sum":2260,"residue":106},{"from_index":508,"to_index":512,"interior_indices":[509,510,511],"interior_values":[695,244,221],"sum":1160,"residue":442},{"from_index":512,"to_index":518,"interior_indices":[513,514,515,516,517],"interior_values":[686,433,401,116,517],"sum":2153,"residue":717},{"from_index":518,"to_index":519,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":519,"to_index":522,"interior_indices":[520,521],"interior_values":[347,61],"sum":408,"residue":408},{"from_index":522,"to_index":524,"interior_indices":[523],"interior_values":[469],"sum":469,"residue":469},{"from_index":524,"to_index":526,"interior_indices":[525],"interior_values":[628],"sum":628,"residue":628},{"from_index":526,"to_index":528,"interior_indices":[527],"interior_values":[697],"sum":697,"residue":697},{"from_index":528,"to_index":529,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":529,"to_index":530,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":530,"to_index":531,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":531,"to_index":532,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":532,"to_index":533,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":533,"to_index":534,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":534,"to_index":541,"interior_indices":[535,536,537,538,539,540],"interior_values":[17,473,490,245,17,262],"sum":1504,"residue":68},{"from_index":541,"to_index":543,"interior_indices":[542],"interior_values":[541],"sum":541,"residue":541},{"from_index":543,"to_index":545,"interior_indices":[544],"interior_values":[643],"sum":643,"residue":643},{"from_index":545,"to_index":555,"interior_indices":[546,547,548,549,550,551,552,553,554],"interior_values":[670,697,649,628,559,469,310,61,371],"sum":4414,"residue":106},{"from_index":555,"to_index":560,"interior_indices":[556,557,558,559],"interior_values":[85,517,602,401],"sum":1605,"residue":169},{"from_index":560,"to_index":564,"interior_indices":[561,562,563],"interior_values":[686,253,221],"sum":1160,"residue":442},{"from_index":564,"to_index":571,"interior_indices":[565,566,567,568,569,570],"interior_values":[695,451,428,161,589,32],"sum":2356,"residue":202},{"from_index":571,"to_index":576,"interior_indices":[572,573,574,575],"interior_values":[653,556,491,329],"sum":2029,"residue":593},{"from_index":576,"to_index":579,"interior_indices":[577,578],"interior_values":[431,533],"sum":964,"residue":246},{"from_index":579,"to_index":583,"interior_indices":[580,581,582],"interior_values":[61,307,368],"sum":736,"residue":18},{"from_index":583,"to_index":585,"interior_indices":[584],"interior_values":[325],"sum":325,"residue":325},{"from_index":585,"to_index":587,"interior_indices":[586],"interior_values":[607],"sum":607,"residue":607},{"from_index":587,"to_index":588,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":588,"to_index":589,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":589,"to_index":590,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":590,"to_index":591,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":591,"to_index":597,"interior_indices":[592,593,594,595,596],"interior_values":[95,617,712,611,605],"sum":2640,"residue":486},{"from_index":597,"to_index":599,"interior_indices":[598],"interior_values":[385],"sum":385,"residue":385},{"from_index":599,"to_index":609,"interior_indices":[600,601,602,603,604,605,606,607,608],"interior_values":[550,715,547,544,373,199,572,53,625],"sum":4178,"residue":588},{"from_index":609,"to_index":610,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":610,"to_index":614,"interior_indices":[611,612,613],"interior_values":[545,412,239],"sum":1196,"residue":478},{"from_index":614,"to_index":616,"interior_indices":[615],"interior_values":[172],"sum":172,"residue":172},{"from_index":616,"to_index":621,"interior_indices":[617,618,619,620],"interior_values":[277,382,659,323],"sum":1641,"residue":205},{"from_index":621,"to_index":625,"interior_indices":[622,623,624],"interior_values":[587,133,2],"sum":722,"residue":4},{"from_index":625,"to_index":629,"interior_indices":[626,627,628],"interior_values":[137,272,409],"sum":818,"residue":100},{"from_index":629,"to_index":630,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":630,"to_index":633,"interior_indices":[631,632],"interior_values":[335,707],"sum":1042,"residue":324},{"from_index":633,"to_index":639,"interior_indices":[634,635,636,637,638],"interior_values":[313,637,232,151,383],"sum":1716,"residue":280},{"from_index":639,"to_index":641,"interior_indices":[640],"interior_values":[199],"sum":199,"residue":199},{"from_index":641,"to_index":645,"interior_indices":[642,643,644],"interior_values":[214,229,443],"sum":886,"residue":168},{"from_index":645,"to_index":647,"interior_indices":[646],"interior_values":[397],"sum":397,"residue":397},{"from_index":647,"to_index":648,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":648,"to_index":649,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":649,"to_index":650,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":650,"to_index":657,"interior_indices":[651,652,653,654,655,656],"interior_values":[74,485,559,326,167,493],"sum":2104,"residue":668},{"from_index":657,"to_index":658,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":658,"to_index":661,"interior_indices":[659,660],"interior_values":[377,94],"sum":471,"residue":471},{"from_index":661,"to_index":663,"interior_indices":[662],"interior_values":[565],"sum":565,"residue":565},{"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":666,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":666,"to_index":670,"interior_indices":[667,668,669],"interior_values":[413,343,38],"sum":794,"residue":76},{"from_index":670,"to_index":673,"interior_indices":[671,672],"interior_values":[419,82],"sum":501,"residue":501},{"from_index":673,"to_index":675,"interior_indices":[674],"interior_values":[583],"sum":583,"residue":583},{"from_index":675,"to_index":676,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":676,"to_index":677,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":677,"to_index":680,"interior_indices":[678,679],"interior_values":[110,707],"sum":817,"residue":99},{"from_index":680,"to_index":684,"interior_indices":[681,682,683],"interior_values":[88,187,275],"sum":550,"residue":550},{"from_index":684,"to_index":689,"interior_indices":[685,686,687,688],"interior_values":[19,481,500,263],"sum":1263,"residue":545},{"from_index":689,"to_index":697,"interior_indices":[690,691,692,693,694,695,696],"interior_values":[308,353,661,296,239,535,56],"sum":2448,"residue":294},{"from_index":697,"to_index":706,"interior_indices":[698,699,700,701,702,703,704,705],"interior_values":[647,520,449,251,700,233,215,448],"sum":3463,"residue":591},{"from_index":706,"to_index":707,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":707,"to_index":710,"interior_indices":[708,709],"interior_values":[338,13],"sum":351,"residue":351},{"from_index":710,"to_index":717,"interior_indices":[711,712,713,714,715,716],"interior_values":[364,715,361,358,1,359],"sum":2158,"residue":4},{"from_index":717,"to_index":723,"interior_indices":[718,719,720,721,722],"interior_values":[1,361,362,5,367],"sum":1096,"residue":378},{"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":736,"interior_indices":[727,728,729,730,731,732,733,734,735],"interior_values":[89,503,592,377,251,628,161,71,232],"sum":2904,"residue":32},{"from_index":736,"to_index":738,"interior_indices":[737],"interior_values":[535],"sum":535,"residue":535},{"from_index":738,"to_index":740,"interior_indices":[739],"interior_values":[655],"sum":655,"residue":655},{"from_index":740,"to_index":742,"interior_indices":[741],"interior_values":[712],"sum":712,"residue":712},{"from_index":742,"to_index":743,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":743,"to_index":744,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":744,"to_index":745,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":745,"to_index":746,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[275,172],"sum":447,"residue":447},{"from_index":751,"to_index":753,"interior_indices":[752],"interior_values":[619],"sum":619,"residue":619},{"from_index":753,"to_index":754,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":754,"to_index":755,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":755,"to_index":758,"interior_indices":[756,757],"interior_values":[128,7],"sum":135,"residue":135},{"from_index":758,"to_index":762,"interior_indices":[759,760,761],"interior_values":[142,277,419],"sum":838,"residue":120},{"from_index":762,"to_index":764,"interior_indices":[763],"interior_values":[397],"sum":397,"residue":397},{"from_index":764,"to_index":765,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":765,"to_index":766,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":766,"to_index":767,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":767,"to_index":770,"interior_indices":[768,769],"interior_values":[194,677],"sum":871,"residue":153},{"from_index":770,"to_index":774,"interior_indices":[771,772,773],"interior_values":[112,265,377],"sum":754,"residue":36},{"from_index":774,"to_index":776,"interior_indices":[775],"interior_values":[301],"sum":301,"residue":301},{"from_index":776,"to_index":778,"interior_indices":[777],"interior_values":[526],"sum":526,"residue":526},{"from_index":778,"to_index":785,"interior_indices":[779,780,781,782,783,784],"interior_values":[559,592,433,307,22,329],"sum":2242,"residue":88},{"from_index":785,"to_index":789,"interior_indices":[786,787,788],"interior_values":[680,313,275],"sum":1268,"residue":550},{"from_index":789,"to_index":791,"interior_indices":[790],"interior_values":[145],"sum":145,"residue":145},{"from_index":791,"to_index":795,"interior_indices":[792,793,794],"interior_values":[160,175,335],"sum":670,"residue":670},{"from_index":795,"to_index":802,"interior_indices":[796,797,798,799,800,801],"interior_values":[127,637,46,683,11,694],"sum":2198,"residue":44},{"from_index":802,"to_index":803,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":803,"to_index":808,"interior_indices":[804,805,806,807],"interior_values":[668,631,581,494],"sum":2374,"residue":220},{"from_index":808,"to_index":813,"interior_indices":[809,810,811,812],"interior_values":[133,490,623,395],"sum":1641,"residue":205},{"from_index":813,"to_index":817,"interior_indices":[814,815,816],"interior_values":[695,277,254],"sum":1226,"residue":508},{"from_index":817,"to_index":822,"interior_indices":[818,819,820,821],"interior_values":[67,598,665,545],"sum":1875,"residue":439},{"from_index":822,"to_index":824,"interior_indices":[823],"interior_values":[319],"sum":319,"residue":319},{"from_index":824,"to_index":830,"interior_indices":[825,826,827,828,829],"interior_values":[412,505,199,704,185],"sum":2005,"residue":569},{"from_index":830,"to_index":833,"interior_indices":[831,832],"interior_values":[356,527],"sum":883,"residue":165},{"from_index":833,"to_index":837,"interior_indices":[834,835,836],"interior_values":[692,139,113],"sum":944,"residue":226},{"from_index":837,"to_index":840,"interior_indices":[838,839],"interior_values":[365,617],"sum":982,"residue":264},{"from_index":840,"to_index":845,"interior_indices":[841,842,843,844],"interior_values":[163,427,590,299],"sum":1479,"residue":43},{"from_index":845,"to_index":848,"interior_indices":[846,847],"interior_values":[470,641],"sum":1111,"residue":393},{"from_index":848,"to_index":855,"interior_indices":[849,850,851,852,853,854],"interior_values":[316,709,307,298,605,185],"sum":2420,"residue":266},{"from_index":855,"to_index":862,"interior_indices":[856,857,858,859,860,861],"interior_values":[257,329,586,197,65,262],"sum":1696,"residue":260},{"from_index":862,"to_index":864,"interior_indices":[863],"interior_values":[589],"sum":589,"residue":589},{"from_index":864,"to_index":865,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":865,"to_index":866,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":866,"to_index":867,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":867,"to_index":868,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":868,"to_index":871,"interior_indices":[869,870],"interior_values":[221,106],"sum":327,"residue":327},{"from_index":871,"to_index":873,"interior_indices":[872],"interior_values":[433],"sum":433,"residue":433},{"from_index":873,"to_index":879,"interior_indices":[874,875,876,877,878],"interior_values":[475,517,274,73,347],"sum":1686,"residue":250},{"from_index":879,"to_index":884,"interior_indices":[880,881,882,883],"interior_values":[49,469,518,269],"sum":1305,"residue":587},{"from_index":884,"to_index":887,"interior_indices":[885,886],"interior_values":[338,407],"sum":745,"residue":27},{"from_index":887,"to_index":890,"interior_indices":[888,889],"interior_values":[434,461],"sum":895,"residue":177},{"from_index":890,"to_index":894,"interior_indices":[891,892,893],"interior_values":[638,97,17],"sum":752,"residue":34},{"from_index":894,"to_index":898,"interior_indices":[895,896,897],"interior_values":[131,245,376],"sum":752,"residue":34},{"from_index":898,"to_index":899,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":899,"to_index":910,"interior_indices":[900,901,902,903,904,905,906,907,908,909],"interior_values":[182,461,643,386,311,697,290,269,559,110],"sum":3908,"residue":318},{"from_index":910,"to_index":912,"interior_indices":[911],"interior_values":[61],"sum":61,"residue":61},{"from_index":912,"to_index":916,"interior_indices":[913,914,915],"interior_values":[73,85,158],"sum":316,"residue":316},{"from_index":916,"to_index":919,"interior_indices":[917,918],"interior_values":[401,644],"sum":1045,"residue":327},{"from_index":919,"to_index":925,"interior_indices":[920,921,922,923,924],"interior_values":[253,580,115,695,92],"sum":1735,"residue":299},{"from_index":925,"to_index":929,"interior_indices":[926,927,928],"interior_values":[161,230,391],"sum":782,"residue":64},{"from_index":929,"to_index":930,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":930,"to_index":936,"interior_indices":[931,932,933,934,935],"interior_values":[197,491,688,461,431],"sum":2268,"residue":114},{"from_index":936,"to_index":939,"interior_indices":[937,938],"interior_values":[605,61],"sum":666,"residue":666},{"from_index":939,"to_index":940,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":940,"to_index":941,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":941,"to_index":942,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":942,"to_index":947,"interior_indices":[943,944,945,946],"interior_values":[641,607,530,419],"sum":2197,"residue":43},{"from_index":947,"to_index":951,"interior_indices":[948,949,950],"interior_values":[650,163,95],"sum":908,"residue":190},{"from_index":951,"to_index":954,"interior_indices":[952,953],"interior_values":[353,611],"sum":964,"residue":246},{"from_index":954,"to_index":963,"interior_indices":[955,956,957,958,959,960,961,962],"interior_values":[139,385,524,191,715,188,185,373],"sum":2700,"residue":546},{"from_index":963,"to_index":964,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":964,"to_index":968,"interior_indices":[965,966,967],"interior_values":[53,266,319],"sum":638,"residue":638},{"from_index":968,"to_index":969,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":969,"to_index":973,"interior_indices":[970,971,972],"interior_values":[53,239,292],"sum":584,"residue":584},{"from_index":973,"to_index":974,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":974,"to_index":975,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":975,"to_index":981,"interior_indices":[976,977,978,979,980],"interior_values":[23,659,682,623,587],"sum":2574,"residue":420},{"from_index":981,"to_index":983,"interior_indices":[982],"interior_values":[361],"sum":361,"residue":361},{"from_index":983,"to_index":990,"interior_indices":[984,985,986,987,988,989],"interior_values":[496,631,409,322,13,335],"sum":2206,"residue":52},{"from_index":990,"to_index":994,"interior_indices":[991,992,993],"interior_values":[683,313,278],"sum":1274,"residue":556},{"from_index":994,"to_index":996,"interior_indices":[995],"interior_values":[151],"sum":151,"residue":151},{"from_index":996,"to_index":1000,"interior_indices":[997,998,999],"interior_values":[175,199,374],"sum":748,"residue":30},{"from_index":1000,"to_index":1002,"interior_indices":[1001],"interior_values":[229],"sum":229,"residue":229},{"from_index":1002,"to_index":1007,"interior_indices":[1003,1004,1005,1006],"interior_values":[313,397,710,389],"sum":1809,"residue":373},{"from_index":1007,"to_index":1016,"interior_indices":[1008,1009,1010,1011,1012,1013,1014,1015],"interior_values":[52,433,485,200,685,167,134,301],"sum":2457,"residue":303},{"from_index":1016,"to_index":1017,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1017,"to_index":1018,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1018,"to_index":1019,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1019,"to_index":1022,"interior_indices":[1020,1021],"interior_values":[206,677],"sum":883,"residue":165},{"from_index":1022,"to_index":1026,"interior_indices":[1023,1024,1025],"interior_values":[124,289,413],"sum":826,"residue":108},{"from_index":1026,"to_index":1028,"interior_indices":[1027],"interior_values":[397],"sum":397,"residue":397},{"from_index":1028,"to_index":1029,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1029,"to_index":1030,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[224,7],"sum":231,"residue":231},{"from_index":1034,"to_index":1039,"interior_indices":[1035,1036,1037,1038],"interior_values":[238,469,707,458],"sum":1872,"residue":436},{"from_index":1039,"to_index":1045,"interior_indices":[1040,1041,1042,1043,1044],"interior_values":[187,634,103,19,122],"sum":1065,"residue":347},{"from_index":1045,"to_index":1055,"interior_indices":[1046,1047,1048,1049,1050,1051,1052,1053,1054],"interior_values":[263,404,667,353,302,655,239,176,415],"sum":3474,"residue":602},{"from_index":1055,"to_index":1056,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1056,"to_index":1064,"interior_indices":[1057,1058,1059,1060,1061,1062,1063],"interior_values":[161,449,610,341,233,574,89],"sum":2457,"residue":303},{"from_index":1064,"to_index":1072,"interior_indices":[1065,1066,1067,1068,1069,1070,1071],"interior_values":[34,697,13,710,5,715,2],"sum":2176,"residue":22},{"from_index":1072,"to_index":0,"interior_indices":[1073],"interior_values":[1],"sum":1,"residue":1}],"minimal_cycle":[4,26,178,644,0,643,141,615,634,0,249,508,277,445,430,265,617,148,0,321,259,707,670,322,631,0,0,0,36,636,613,0,186,26,0,327,151,136,111,675,709,0,501,0,69,603,580,0,390,281,33,279,262,488,82,0,444,517,0,0,0,0,336,451,458,72,420,307,94,291,151,52,56,624,0,46,228,370,661,637,0,558,0,0,0,76,411,433,145,442,289,463,604,469,0,0,0,378,481,622,257,356,697,0,4,0,360,361,406,521,393,536,45,237,550,586,487,0,0,0,76,483,553,0,0,0,660,0,296,688,0,0,504,0,0,0,486,637,0,692,0,135,262,336,650,678,0,398,544,715,0,0,0,6,522,427,658,0,0,0,0,657,0,255,106,442,717,0,408,469,628,697,0,0,0,0,0,0,68,541,643,106,169,442,202,593,246,18,325,607,0,0,0,0,486,385,588,0,478,172,205,4,100,0,324,280,199,168,397,0,0,0,668,0,471,565,0,0,0,76,501,583,0,0,99,550,545,294,591,0,351,4,378,0,0,0,32,535,655,712,0,0,0,0,0,0,447,619,0,0,135,120,397,0,0,0,153,36,301,526,88,550,145,670,44,0,220,205,508,439,319,569,165,226,264,43,393,266,260,589,0,0,0,0,327,433,250,587,27,177,34,34,0,318,61,316,327,299,64,0,114,666,0,0,0,43,190,246,546,0,638,0,584,0,0,420,361,52,556,151,30,229,373,303,0,0,0,165,108,397,0,0,0,231,436,347,602,0,303,22,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1074,4],"start_interval_values":[1,1,2],"circle_positions":718,"cycle_length":341,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon":null,"epsilon_routes":[],"epsilon_status":"Null: no tested regular six-node reference traversal contains only 3, 6 and 9 with all three present.","geometry_summary":{"rule_version":"native-pilot-v1","scope":"Shapes in the primary Gamma node set (native residues divisible by 3, including zero). All regular polygons on the period circle are catalogued separately with their native values; their existence alone is a property of the plotting grid.","circle_role":"Pisano-period plotting framework","shapes":[{"name":"Equilateral triangle","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"Hexagon","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"2D stellated octahedron","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"Chevron","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"Unicursal hexagram","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]}],"other_orientations_status":"Absent","epsilon_rule":"A regular six-node formation must support the reference unicursal route through only 3, 6 and 9, containing all three. Rotations and reflections of the route are tested; reversed or cyclically shifted traversals are deduplicated."},"formation_catalogue":[{"id":"3-nodes-offset-0","shape":"Equilateral triangle","alpha_indices":[0,358,716],"clock_positions":[1074,358,716],"native_values":[718,359,359],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,359,359],"beta":{"interval_sums":[129958,130676,123496],"interval_residues":[0,0,0],"display_cycle":[718,718,718],"intervals":[{"from_index":0,"to_index":358,"sum":129958,"residue":0},{"from_index":358,"to_index":716,"sum":130676,"residue":0},{"from_index":716,"to_index":0,"sum":123496,"residue":0}],"minimal_cycle":[0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":718,"start_interval_clock_positions":[1074,358],"circle_positions":718,"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":[1,359,717],"clock_positions":[1,359,717],"native_values":[1,1,360],"rotation_degrees":0.33519553072625696,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,1,360],"beta":{"interval_sums":[130316,131034,123136],"interval_residues":[358,358,358],"display_cycle":[358,358,358],"intervals":[{"from_index":1,"to_index":359,"sum":130316,"residue":358},{"from_index":359,"to_index":717,"sum":131034,"residue":358},{"from_index":717,"to_index":1,"sum":123136,"residue":358}],"minimal_cycle":[358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[1,359],"circle_positions":718,"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":[2,360,718],"clock_positions":[2,360,718],"native_values":[1,360,1],"rotation_degrees":0.6703910614525139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,360,1],"beta":{"interval_sums":[130316,131034,123136],"interval_residues":[358,358,358],"display_cycle":[358,358,358],"intervals":[{"from_index":2,"to_index":360,"sum":130316,"residue":358},{"from_index":360,"to_index":718,"sum":131034,"residue":358},{"from_index":718,"to_index":2,"sum":123136,"residue":358}],"minimal_cycle":[358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[2,360],"circle_positions":718,"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":[3,361,719],"clock_positions":[3,361,719],"native_values":[2,361,361],"rotation_degrees":1.005586592178771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,361,361],"beta":{"interval_sums":[130674,130674,122776],"interval_residues":[716,716,716],"display_cycle":[716,716,716],"intervals":[{"from_index":3,"to_index":361,"sum":130674,"residue":716},{"from_index":361,"to_index":719,"sum":130674,"residue":716},{"from_index":719,"to_index":3,"sum":122776,"residue":716}],"minimal_cycle":[716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[3,361],"circle_positions":718,"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":[4,362,720],"clock_positions":[4,362,720],"native_values":[3,3,362],"rotation_degrees":1.3407821229050279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,3,362],"beta":{"interval_sums":[131032,131032,122416],"interval_residues":[356,356,356],"display_cycle":[356,356,356],"intervals":[{"from_index":4,"to_index":362,"sum":131032,"residue":356},{"from_index":362,"to_index":720,"sum":131032,"residue":356},{"from_index":720,"to_index":4,"sum":122416,"residue":356}],"minimal_cycle":[356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[4,362],"circle_positions":718,"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":[5,363,721],"clock_positions":[5,363,721],"native_values":[5,364,5],"rotation_degrees":1.675977653631285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,364,5],"beta":{"interval_sums":[131030,131030,122414],"interval_residues":[354,354,354],"display_cycle":[354,354,354],"intervals":[{"from_index":5,"to_index":363,"sum":131030,"residue":354},{"from_index":363,"to_index":721,"sum":131030,"residue":354},{"from_index":721,"to_index":5,"sum":122414,"residue":354}],"minimal_cycle":[354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[5,363],"circle_positions":718,"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":[6,364,722],"clock_positions":[6,364,722],"native_values":[8,367,367],"rotation_degrees":2.011173184357542,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,367,367],"beta":{"interval_sums":[131386,130668,122052],"interval_residues":[710,710,710],"display_cycle":[710,710,710],"intervals":[{"from_index":6,"to_index":364,"sum":131386,"residue":710},{"from_index":364,"to_index":722,"sum":130668,"residue":710},{"from_index":722,"to_index":6,"sum":122052,"residue":710}],"minimal_cycle":[710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[6,364],"circle_positions":718,"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":[7,365,723],"clock_positions":[7,365,723],"native_values":[13,13,372],"rotation_degrees":2.346368715083799,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,13,372],"beta":{"interval_sums":[131740,131022,121688],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":7,"to_index":365,"sum":131740,"residue":346},{"from_index":365,"to_index":723,"sum":131022,"residue":346},{"from_index":723,"to_index":7,"sum":121688,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[7,365],"circle_positions":718,"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":[8,366,724],"clock_positions":[8,366,724],"native_values":[21,380,21],"rotation_degrees":2.6815642458100557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,380,21],"beta":{"interval_sums":[131732,131014,121680],"interval_residues":[338,338,338],"display_cycle":[338,338,338],"intervals":[{"from_index":8,"to_index":366,"sum":131732,"residue":338},{"from_index":366,"to_index":724,"sum":131014,"residue":338},{"from_index":724,"to_index":8,"sum":121680,"residue":338}],"minimal_cycle":[338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[8,366],"circle_positions":718,"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":[9,367,725],"clock_positions":[9,367,725],"native_values":[34,393,393],"rotation_degrees":3.016759776536313,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,393,393],"beta":{"interval_sums":[132078,130642,121308],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":9,"to_index":367,"sum":132078,"residue":684},{"from_index":367,"to_index":725,"sum":130642,"residue":684},{"from_index":725,"to_index":9,"sum":121308,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[9,367],"circle_positions":718,"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":[10,368,726],"clock_positions":[10,368,726],"native_values":[55,55,414],"rotation_degrees":3.35195530726257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,55,414],"beta":{"interval_sums":[132416,130980,120928],"interval_residues":[304,304,304],"display_cycle":[304,304,304],"intervals":[{"from_index":10,"to_index":368,"sum":132416,"residue":304},{"from_index":368,"to_index":726,"sum":130980,"residue":304},{"from_index":726,"to_index":10,"sum":120928,"residue":304}],"minimal_cycle":[304],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":304,"start_interval_clock_positions":[10,368],"circle_positions":718,"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":[11,369,727],"clock_positions":[11,369,727],"native_values":[89,448,89],"rotation_degrees":3.6871508379888267,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,448,89],"beta":{"interval_sums":[132382,130946,120894],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":11,"to_index":369,"sum":132382,"residue":270},{"from_index":369,"to_index":727,"sum":130946,"residue":270},{"from_index":727,"to_index":11,"sum":120894,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[11,369],"circle_positions":718,"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":[12,370,728],"clock_positions":[12,370,728],"native_values":[144,503,503],"rotation_degrees":4.022346368715084,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,503,503],"beta":{"interval_sums":[132686,130532,120480],"interval_residues":[574,574,574],"display_cycle":[574,574,574],"intervals":[{"from_index":12,"to_index":370,"sum":132686,"residue":574},{"from_index":370,"to_index":728,"sum":130532,"residue":574},{"from_index":728,"to_index":12,"sum":120480,"residue":574}],"minimal_cycle":[574],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[12,370],"circle_positions":718,"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":[13,371,729],"clock_positions":[13,371,729],"native_values":[233,233,592],"rotation_degrees":4.35754189944134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,592],"beta":{"interval_sums":[132956,130802,120032],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":13,"to_index":371,"sum":132956,"residue":126},{"from_index":371,"to_index":729,"sum":130802,"residue":126},{"from_index":729,"to_index":13,"sum":120032,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[13,371],"circle_positions":718,"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":[14,372,730],"clock_positions":[14,372,730],"native_values":[377,18,377],"rotation_degrees":4.692737430167598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,18,377],"beta":{"interval_sums":[132812,131376,119888],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":14,"to_index":372,"sum":132812,"residue":700},{"from_index":372,"to_index":730,"sum":131376,"residue":700},{"from_index":730,"to_index":14,"sum":119888,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[14,372],"circle_positions":718,"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":[15,373,731],"clock_positions":[15,373,731],"native_values":[610,251,251],"rotation_degrees":5.027932960893855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,251,251],"beta":{"interval_sums":[132220,131502,120014],"interval_residues":[108,108,108],"display_cycle":[108,108,108],"intervals":[{"from_index":15,"to_index":373,"sum":132220,"residue":108},{"from_index":373,"to_index":731,"sum":131502,"residue":108},{"from_index":731,"to_index":15,"sum":120014,"residue":108}],"minimal_cycle":[108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[15,373],"circle_positions":718,"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":[16,374,732],"clock_positions":[16,374,732],"native_values":[269,269,628],"rotation_degrees":5.363128491620111,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,269,628],"beta":{"interval_sums":[132202,131484,119996],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":16,"to_index":374,"sum":132202,"residue":90},{"from_index":374,"to_index":732,"sum":131484,"residue":90},{"from_index":732,"to_index":16,"sum":119996,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[16,374],"circle_positions":718,"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":[17,375,733],"clock_positions":[17,375,733],"native_values":[161,520,161],"rotation_degrees":5.698324022346369,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,520,161],"beta":{"interval_sums":[132310,131592,120104],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":17,"to_index":375,"sum":132310,"residue":198},{"from_index":375,"to_index":733,"sum":131592,"residue":198},{"from_index":733,"to_index":17,"sum":120104,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[17,375],"circle_positions":718,"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":[18,376,734],"clock_positions":[18,376,734],"native_values":[430,71,71],"rotation_degrees":6.033519553072626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[430,71,71],"beta":{"interval_sums":[132400,131682,120194],"interval_residues":[288,288,288],"display_cycle":[288,288,288],"intervals":[{"from_index":18,"to_index":376,"sum":132400,"residue":288},{"from_index":376,"to_index":734,"sum":131682,"residue":288},{"from_index":734,"to_index":18,"sum":120194,"residue":288}],"minimal_cycle":[288],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[18,376],"circle_positions":718,"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":[19,377,735],"clock_positions":[19,377,735],"native_values":[591,591,232],"rotation_degrees":6.368715083798882,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,591,232],"beta":{"interval_sums":[131880,131162,120392],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":19,"to_index":377,"sum":131880,"residue":486},{"from_index":377,"to_index":735,"sum":131162,"residue":486},{"from_index":735,"to_index":19,"sum":120392,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[19,377],"circle_positions":718,"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":[20,378,736],"clock_positions":[20,378,736],"native_values":[303,662,303],"rotation_degrees":6.70391061452514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,662,303],"beta":{"interval_sums":[132168,130732,120680],"interval_residues":[56,56,56],"display_cycle":[56,56,56],"intervals":[{"from_index":20,"to_index":378,"sum":132168,"residue":56},{"from_index":378,"to_index":736,"sum":130732,"residue":56},{"from_index":736,"to_index":20,"sum":120680,"residue":56}],"minimal_cycle":[56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[20,378],"circle_positions":718,"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":[21,379,737],"clock_positions":[21,379,737],"native_values":[176,535,535],"rotation_degrees":7.039106145251397,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,535,535],"beta":{"interval_sums":[132654,130500,120448],"interval_residues":[542,542,542],"display_cycle":[542,542,542],"intervals":[{"from_index":21,"to_index":379,"sum":132654,"residue":542},{"from_index":379,"to_index":737,"sum":130500,"residue":542},{"from_index":737,"to_index":21,"sum":120448,"residue":542}],"minimal_cycle":[542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[21,379],"circle_positions":718,"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":[22,380,738],"clock_positions":[22,380,738],"native_values":[479,479,120],"rotation_degrees":7.374301675977653,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,479,120],"beta":{"interval_sums":[132710,130556,120504],"interval_residues":[598,598,598],"display_cycle":[598,598,598],"intervals":[{"from_index":22,"to_index":380,"sum":132710,"residue":598},{"from_index":380,"to_index":738,"sum":130556,"residue":598},{"from_index":738,"to_index":22,"sum":120504,"residue":598}],"minimal_cycle":[598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[22,380],"circle_positions":718,"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":[23,381,739],"clock_positions":[23,381,739],"native_values":[655,296,655],"rotation_degrees":7.709497206703911,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,296,655],"beta":{"interval_sums":[132534,130380,120328],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":23,"to_index":381,"sum":132534,"residue":422},{"from_index":381,"to_index":739,"sum":130380,"residue":422},{"from_index":739,"to_index":23,"sum":120328,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[23,381],"circle_positions":718,"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":[24,382,740],"clock_positions":[24,382,740],"native_values":[416,57,57],"rotation_degrees":8.044692737430168,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,57,57],"beta":{"interval_sums":[132414,130978,120926],"interval_residues":[302,302,302],"display_cycle":[302,302,302],"intervals":[{"from_index":24,"to_index":382,"sum":132414,"residue":302},{"from_index":382,"to_index":740,"sum":130978,"residue":302},{"from_index":740,"to_index":24,"sum":120926,"residue":302}],"minimal_cycle":[302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":302,"start_interval_clock_positions":[24,382],"circle_positions":718,"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":[25,383,741],"clock_positions":[25,383,741],"native_values":[353,353,712],"rotation_degrees":8.379888268156424,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,353,712],"beta":{"interval_sums":[132118,130682,120630],"interval_residues":[6,6,6],"display_cycle":[6,6,6],"intervals":[{"from_index":25,"to_index":383,"sum":132118,"residue":6},{"from_index":383,"to_index":741,"sum":130682,"residue":6},{"from_index":741,"to_index":25,"sum":120630,"residue":6}],"minimal_cycle":[6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[25,383],"circle_positions":718,"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":[26,384,742],"clock_positions":[26,384,742],"native_values":[51,410,51],"rotation_degrees":8.71508379888268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,410,51],"beta":{"interval_sums":[132420,130984,120932],"interval_residues":[308,308,308],"display_cycle":[308,308,308],"intervals":[{"from_index":26,"to_index":384,"sum":132420,"residue":308},{"from_index":384,"to_index":742,"sum":130984,"residue":308},{"from_index":742,"to_index":26,"sum":120932,"residue":308}],"minimal_cycle":[308],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":308,"start_interval_clock_positions":[26,384],"circle_positions":718,"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":[27,385,743],"clock_positions":[27,385,743],"native_values":[404,45,45],"rotation_degrees":9.050279329608939,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,45,45],"beta":{"interval_sums":[132426,130990,120938],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":27,"to_index":385,"sum":132426,"residue":314},{"from_index":385,"to_index":743,"sum":130990,"residue":314},{"from_index":743,"to_index":27,"sum":120938,"residue":314}],"minimal_cycle":[314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[27,385],"circle_positions":718,"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":[28,386,744],"clock_positions":[28,386,744],"native_values":[455,455,96],"rotation_degrees":9.385474860335195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,455,96],"beta":{"interval_sums":[132016,130580,121246],"interval_residues":[622,622,622],"display_cycle":[622,622,622],"intervals":[{"from_index":28,"to_index":386,"sum":132016,"residue":622},{"from_index":386,"to_index":744,"sum":130580,"residue":622},{"from_index":744,"to_index":28,"sum":121246,"residue":622}],"minimal_cycle":[622],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[28,386],"circle_positions":718,"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":[29,387,745],"clock_positions":[29,387,745],"native_values":[141,500,141],"rotation_degrees":9.720670391061452,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,500,141],"beta":{"interval_sums":[132330,130176,121560],"interval_residues":[218,218,218],"display_cycle":[218,218,218],"intervals":[{"from_index":29,"to_index":387,"sum":132330,"residue":218},{"from_index":387,"to_index":745,"sum":130176,"residue":218},{"from_index":745,"to_index":29,"sum":121560,"residue":218}],"minimal_cycle":[218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[29,387],"circle_positions":718,"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":[30,388,746],"clock_positions":[30,388,746],"native_values":[596,237,237],"rotation_degrees":10.05586592178771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,237,237],"beta":{"interval_sums":[132234,130080,121464],"interval_residues":[122,122,122],"display_cycle":[122,122,122],"intervals":[{"from_index":30,"to_index":388,"sum":132234,"residue":122},{"from_index":388,"to_index":746,"sum":130080,"residue":122},{"from_index":746,"to_index":30,"sum":121464,"residue":122}],"minimal_cycle":[122],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[30,388],"circle_positions":718,"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":[31,389,747],"clock_positions":[31,389,747],"native_values":[19,19,378],"rotation_degrees":10.391061452513966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,19,378],"beta":{"interval_sums":[132452,130298,121682],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":31,"to_index":389,"sum":132452,"residue":340},{"from_index":389,"to_index":747,"sum":130298,"residue":340},{"from_index":747,"to_index":31,"sum":121682,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[31,389],"circle_positions":718,"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":[32,390,748],"clock_positions":[32,390,748],"native_values":[615,256,615],"rotation_degrees":10.726256983240223,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,256,615],"beta":{"interval_sums":[131856,130420,121086],"interval_residues":[462,462,462],"display_cycle":[462,462,462],"intervals":[{"from_index":32,"to_index":390,"sum":131856,"residue":462},{"from_index":390,"to_index":748,"sum":130420,"residue":462},{"from_index":748,"to_index":32,"sum":121086,"residue":462}],"minimal_cycle":[462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[32,390],"circle_positions":718,"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":[33,391,749],"clock_positions":[33,391,749],"native_values":[634,275,275],"rotation_degrees":11.061452513966481,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,275,275],"beta":{"interval_sums":[131478,130760,121426],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":33,"to_index":391,"sum":131478,"residue":84},{"from_index":391,"to_index":749,"sum":130760,"residue":84},{"from_index":749,"to_index":33,"sum":121426,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[33,391],"circle_positions":718,"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":[34,392,750],"clock_positions":[34,392,750],"native_values":[531,531,172],"rotation_degrees":11.396648044692737,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,531,172],"beta":{"interval_sums":[131222,130504,121888],"interval_residues":[546,546,546],"display_cycle":[546,546,546],"intervals":[{"from_index":34,"to_index":392,"sum":131222,"residue":546},{"from_index":392,"to_index":750,"sum":130504,"residue":546},{"from_index":750,"to_index":34,"sum":121888,"residue":546}],"minimal_cycle":[546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[34,392],"circle_positions":718,"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":[35,393,751],"clock_positions":[35,393,751],"native_values":[447,88,447],"rotation_degrees":11.731843575418994,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,88,447],"beta":{"interval_sums":[131306,130588,121972],"interval_residues":[630,630,630],"display_cycle":[630,630,630],"intervals":[{"from_index":35,"to_index":393,"sum":131306,"residue":630},{"from_index":393,"to_index":751,"sum":130588,"residue":630},{"from_index":751,"to_index":35,"sum":121972,"residue":630}],"minimal_cycle":[630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[35,393],"circle_positions":718,"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":[36,394,752],"clock_positions":[36,394,752],"native_values":[260,619,619],"rotation_degrees":12.067039106145252,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,619,619],"beta":{"interval_sums":[131134,130416,121800],"interval_residues":[458,458,458],"display_cycle":[458,458,458],"intervals":[{"from_index":36,"to_index":394,"sum":131134,"residue":458},{"from_index":394,"to_index":752,"sum":130416,"residue":458},{"from_index":752,"to_index":36,"sum":121800,"residue":458}],"minimal_cycle":[458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[36,394],"circle_positions":718,"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":[37,395,753],"clock_positions":[37,395,753],"native_values":[707,707,348],"rotation_degrees":12.402234636871508,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,707,348],"beta":{"interval_sums":[131046,130328,121712],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":37,"to_index":395,"sum":131046,"residue":370},{"from_index":395,"to_index":753,"sum":130328,"residue":370},{"from_index":753,"to_index":37,"sum":121712,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[37,395],"circle_positions":718,"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":[38,396,754],"clock_positions":[38,396,754],"native_values":[249,608,249],"rotation_degrees":12.737430167597765,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,608,249],"beta":{"interval_sums":[131504,130068,122170],"interval_residues":[110,110,110],"display_cycle":[110,110,110],"intervals":[{"from_index":38,"to_index":396,"sum":131504,"residue":110},{"from_index":396,"to_index":754,"sum":130068,"residue":110},{"from_index":754,"to_index":38,"sum":122170,"residue":110}],"minimal_cycle":[110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[38,396],"circle_positions":718,"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":[39,397,755],"clock_positions":[39,397,755],"native_values":[238,597,597],"rotation_degrees":13.072625698324023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,597,597],"beta":{"interval_sums":[131874,129720,121822],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":39,"to_index":397,"sum":131874,"residue":480},{"from_index":397,"to_index":755,"sum":129720,"residue":480},{"from_index":755,"to_index":39,"sum":121822,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[39,397],"circle_positions":718,"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":[40,398,756],"clock_positions":[40,398,756],"native_values":[487,487,128],"rotation_degrees":13.40782122905028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,487,128],"beta":{"interval_sums":[131984,129830,121932],"interval_residues":[590,590,590],"display_cycle":[590,590,590],"intervals":[{"from_index":40,"to_index":398,"sum":131984,"residue":590},{"from_index":398,"to_index":756,"sum":129830,"residue":590},{"from_index":756,"to_index":40,"sum":121932,"residue":590}],"minimal_cycle":[590],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[40,398],"circle_positions":718,"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":[41,399,757],"clock_positions":[41,399,757],"native_values":[7,366,7],"rotation_degrees":13.743016759776536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,366,7],"beta":{"interval_sums":[132464,129592,122412],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":41,"to_index":399,"sum":132464,"residue":352},{"from_index":399,"to_index":757,"sum":129592,"residue":352},{"from_index":757,"to_index":41,"sum":122412,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[41,399],"circle_positions":718,"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":[42,400,758],"clock_positions":[42,400,758],"native_values":[494,135,135],"rotation_degrees":14.078212290502794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,135,135],"beta":{"interval_sums":[132336,129464,122284],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":42,"to_index":400,"sum":132336,"residue":224},{"from_index":400,"to_index":758,"sum":129464,"residue":224},{"from_index":758,"to_index":42,"sum":122284,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[42,400],"circle_positions":718,"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":[43,401,759],"clock_positions":[43,401,759],"native_values":[501,501,142],"rotation_degrees":14.41340782122905,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,501,142],"beta":{"interval_sums":[131970,129098,122636],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":43,"to_index":401,"sum":131970,"residue":576},{"from_index":401,"to_index":759,"sum":129098,"residue":576},{"from_index":759,"to_index":43,"sum":122636,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[43,401],"circle_positions":718,"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":[44,402,760],"clock_positions":[44,402,760],"native_values":[277,636,277],"rotation_degrees":14.748603351955307,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,636,277],"beta":{"interval_sums":[132194,128604,122860],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":44,"to_index":402,"sum":132194,"residue":82},{"from_index":402,"to_index":760,"sum":128604,"residue":82},{"from_index":760,"to_index":44,"sum":122860,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[44,402],"circle_positions":718,"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":[45,403,761],"clock_positions":[45,403,761],"native_values":[60,419,419],"rotation_degrees":15.083798882681565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,419,419],"beta":{"interval_sums":[132770,128462,122718],"interval_residues":[658,658,658],"display_cycle":[658,658,658],"intervals":[{"from_index":45,"to_index":403,"sum":132770,"residue":658},{"from_index":403,"to_index":761,"sum":128462,"residue":658},{"from_index":761,"to_index":45,"sum":122718,"residue":658}],"minimal_cycle":[658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[45,403],"circle_positions":718,"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":[46,404,762],"clock_positions":[46,404,762],"native_values":[337,337,696],"rotation_degrees":15.418994413407821,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,337,696],"beta":{"interval_sums":[132852,128544,122082],"interval_residues":[22,22,22],"display_cycle":[22,22,22],"intervals":[{"from_index":46,"to_index":404,"sum":132852,"residue":22},{"from_index":404,"to_index":762,"sum":128544,"residue":22},{"from_index":762,"to_index":46,"sum":122082,"residue":22}],"minimal_cycle":[22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[46,404],"circle_positions":718,"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":[47,405,763],"clock_positions":[47,405,763],"native_values":[397,38,397],"rotation_degrees":15.754189944134078,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,38,397],"beta":{"interval_sums":[132792,129202,122022],"interval_residues":[680,680,680],"display_cycle":[680,680,680],"intervals":[{"from_index":47,"to_index":405,"sum":132792,"residue":680},{"from_index":405,"to_index":763,"sum":129202,"residue":680},{"from_index":763,"to_index":47,"sum":122022,"residue":680}],"minimal_cycle":[680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[47,405],"circle_positions":718,"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":[48,406,764],"clock_positions":[48,406,764],"native_values":[16,375,375],"rotation_degrees":16.089385474860336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,375,375],"beta":{"interval_sums":[132814,129224,122044],"interval_residues":[702,702,702],"display_cycle":[702,702,702],"intervals":[{"from_index":48,"to_index":406,"sum":132814,"residue":702},{"from_index":406,"to_index":764,"sum":129224,"residue":702},{"from_index":764,"to_index":48,"sum":122044,"residue":702}],"minimal_cycle":[702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[48,406],"circle_positions":718,"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":[49,407,765],"clock_positions":[49,407,765],"native_values":[413,413,54],"rotation_degrees":16.424581005586592,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,413,54],"beta":{"interval_sums":[132776,129186,122006],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":49,"to_index":407,"sum":132776,"residue":664},{"from_index":407,"to_index":765,"sum":129186,"residue":664},{"from_index":765,"to_index":49,"sum":122006,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[49,407],"circle_positions":718,"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":[50,408,766],"clock_positions":[50,408,766],"native_values":[429,70,429],"rotation_degrees":16.75977653631285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,70,429],"beta":{"interval_sums":[132760,129170,121990],"interval_residues":[648,648,648],"display_cycle":[648,648,648],"intervals":[{"from_index":50,"to_index":408,"sum":132760,"residue":648},{"from_index":408,"to_index":766,"sum":129170,"residue":648},{"from_index":766,"to_index":50,"sum":121990,"residue":648}],"minimal_cycle":[648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[50,408],"circle_positions":718,"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":[51,409,767],"clock_positions":[51,409,767],"native_values":[124,483,483],"rotation_degrees":17.094972067039105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,483,483],"beta":{"interval_sums":[132706,129116,121936],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":51,"to_index":409,"sum":132706,"residue":594},{"from_index":409,"to_index":767,"sum":129116,"residue":594},{"from_index":767,"to_index":51,"sum":121936,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[51,409],"circle_positions":718,"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":[52,410,768],"clock_positions":[52,410,768],"native_values":[553,553,194],"rotation_degrees":17.43016759776536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,553,194],"beta":{"interval_sums":[132636,129046,121866],"interval_residues":[524,524,524],"display_cycle":[524,524,524],"intervals":[{"from_index":52,"to_index":410,"sum":132636,"residue":524},{"from_index":410,"to_index":768,"sum":129046,"residue":524},{"from_index":768,"to_index":52,"sum":121866,"residue":524}],"minimal_cycle":[524],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[52,410],"circle_positions":718,"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":[53,411,769],"clock_positions":[53,411,769],"native_values":[677,318,677],"rotation_degrees":17.76536312849162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,318,677],"beta":{"interval_sums":[132512,128922,121742],"interval_residues":[400,400,400],"display_cycle":[400,400,400],"intervals":[{"from_index":53,"to_index":411,"sum":132512,"residue":400},{"from_index":411,"to_index":769,"sum":128922,"residue":400},{"from_index":769,"to_index":53,"sum":121742,"residue":400}],"minimal_cycle":[400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[53,411],"circle_positions":718,"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":[54,412,770],"clock_positions":[54,412,770],"native_values":[512,153,153],"rotation_degrees":18.100558659217878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,153,153],"beta":{"interval_sums":[132318,129446,122266],"interval_residues":[206,206,206],"display_cycle":[206,206,206],"intervals":[{"from_index":54,"to_index":412,"sum":132318,"residue":206},{"from_index":412,"to_index":770,"sum":129446,"residue":206},{"from_index":770,"to_index":54,"sum":122266,"residue":206}],"minimal_cycle":[206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[54,412],"circle_positions":718,"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":[55,413,771],"clock_positions":[55,413,771],"native_values":[471,471,112],"rotation_degrees":18.435754189944134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,471,112],"beta":{"interval_sums":[132000,129128,122666],"interval_residues":[606,606,606],"display_cycle":[606,606,606],"intervals":[{"from_index":55,"to_index":413,"sum":132000,"residue":606},{"from_index":413,"to_index":771,"sum":129128,"residue":606},{"from_index":771,"to_index":55,"sum":122666,"residue":606}],"minimal_cycle":[606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[55,413],"circle_positions":718,"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":[56,414,772],"clock_positions":[56,414,772],"native_values":[265,624,265],"rotation_degrees":18.77094972067039,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,624,265],"beta":{"interval_sums":[132206,128616,122872],"interval_residues":[94,94,94],"display_cycle":[94,94,94],"intervals":[{"from_index":56,"to_index":414,"sum":132206,"residue":94},{"from_index":414,"to_index":772,"sum":128616,"residue":94},{"from_index":772,"to_index":56,"sum":122872,"residue":94}],"minimal_cycle":[94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[56,414],"circle_positions":718,"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":[57,415,773],"clock_positions":[57,415,773],"native_values":[18,377,377],"rotation_degrees":19.106145251396647,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,377,377],"beta":{"interval_sums":[132812,128504,122760],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":57,"to_index":415,"sum":132812,"residue":700},{"from_index":415,"to_index":773,"sum":128504,"residue":700},{"from_index":773,"to_index":57,"sum":122760,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[57,415],"circle_positions":718,"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":[58,416,774],"clock_positions":[58,416,774],"native_values":[283,283,642],"rotation_degrees":19.441340782122904,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,283,642],"beta":{"interval_sums":[132906,128598,122136],"interval_residues":[76,76,76],"display_cycle":[76,76,76],"intervals":[{"from_index":58,"to_index":416,"sum":132906,"residue":76},{"from_index":416,"to_index":774,"sum":128598,"residue":76},{"from_index":774,"to_index":58,"sum":122136,"residue":76}],"minimal_cycle":[76],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[58,416],"circle_positions":718,"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":[59,417,775],"clock_positions":[59,417,775],"native_values":[301,660,301],"rotation_degrees":19.776536312849164,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,660,301],"beta":{"interval_sums":[132888,128580,122118],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":59,"to_index":417,"sum":132888,"residue":58},{"from_index":417,"to_index":775,"sum":128580,"residue":58},{"from_index":775,"to_index":59,"sum":122118,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[59,417],"circle_positions":718,"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":[60,418,776],"clock_positions":[60,418,776],"native_values":[584,225,225],"rotation_degrees":20.11173184357542,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,225,225],"beta":{"interval_sums":[132964,128656,122194],"interval_residues":[134,134,134],"display_cycle":[134,134,134],"intervals":[{"from_index":60,"to_index":418,"sum":132964,"residue":134},{"from_index":418,"to_index":776,"sum":128656,"residue":134},{"from_index":776,"to_index":60,"sum":122194,"residue":134}],"minimal_cycle":[134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[60,418],"circle_positions":718,"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":[61,419,777],"clock_positions":[61,419,777],"native_values":[167,167,526],"rotation_degrees":20.446927374301676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,167,526],"beta":{"interval_sums":[133022,128714,122252],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":61,"to_index":419,"sum":133022,"residue":192},{"from_index":419,"to_index":777,"sum":128714,"residue":192},{"from_index":777,"to_index":61,"sum":122252,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[61,419],"circle_positions":718,"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":[62,420,778],"clock_positions":[62,420,778],"native_values":[33,392,33],"rotation_degrees":20.782122905027933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,392,33],"beta":{"interval_sums":[133156,128848,122386],"interval_residues":[326,326,326],"display_cycle":[326,326,326],"intervals":[{"from_index":62,"to_index":420,"sum":133156,"residue":326},{"from_index":420,"to_index":778,"sum":128848,"residue":326},{"from_index":778,"to_index":62,"sum":122386,"residue":326}],"minimal_cycle":[326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[62,420],"circle_positions":718,"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":[63,421,779],"clock_positions":[63,421,779],"native_values":[200,559,559],"rotation_degrees":21.11731843575419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,559,559],"beta":{"interval_sums":[133348,128322,121860],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":63,"to_index":421,"sum":133348,"residue":518},{"from_index":421,"to_index":779,"sum":128322,"residue":518},{"from_index":779,"to_index":63,"sum":121860,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[63,421],"circle_positions":718,"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":[64,422,780],"clock_positions":[64,422,780],"native_values":[233,233,592],"rotation_degrees":21.452513966480446,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,233,592],"beta":{"interval_sums":[133674,128648,121468],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":64,"to_index":422,"sum":133674,"residue":126},{"from_index":422,"to_index":780,"sum":128648,"residue":126},{"from_index":780,"to_index":64,"sum":121468,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[64,422],"circle_positions":718,"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":[65,423,781],"clock_positions":[65,423,781],"native_values":[433,74,433],"rotation_degrees":21.787709497206706,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,74,433],"beta":{"interval_sums":[133474,129166,121268],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":65,"to_index":423,"sum":133474,"residue":644},{"from_index":423,"to_index":781,"sum":129166,"residue":644},{"from_index":781,"to_index":65,"sum":121268,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[65,423],"circle_positions":718,"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":[66,424,782],"clock_positions":[66,424,782],"native_values":[666,307,307],"rotation_degrees":22.122905027932962,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,307,307],"beta":{"interval_sums":[132882,129292,121394],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":66,"to_index":424,"sum":132882,"residue":52},{"from_index":424,"to_index":782,"sum":129292,"residue":52},{"from_index":782,"to_index":66,"sum":121394,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[66,424],"circle_positions":718,"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":[67,425,783],"clock_positions":[67,425,783],"native_values":[381,381,22],"rotation_degrees":22.45810055865922,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,381,22],"beta":{"interval_sums":[132808,129218,122038],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":67,"to_index":425,"sum":132808,"residue":696},{"from_index":425,"to_index":783,"sum":129218,"residue":696},{"from_index":783,"to_index":67,"sum":122038,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[67,425],"circle_positions":718,"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":[68,426,784],"clock_positions":[68,426,784],"native_values":[329,688,329],"rotation_degrees":22.793296089385475,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,688,329],"beta":{"interval_sums":[132860,128552,122090],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":68,"to_index":426,"sum":132860,"residue":30},{"from_index":426,"to_index":784,"sum":128552,"residue":30},{"from_index":784,"to_index":68,"sum":122090,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[68,426],"circle_positions":718,"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":[69,427,785],"clock_positions":[69,427,785],"native_values":[710,351,351],"rotation_degrees":23.12849162011173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,351,351],"beta":{"interval_sums":[132838,128530,122068],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":69,"to_index":427,"sum":132838,"residue":8},{"from_index":427,"to_index":785,"sum":128530,"residue":8},{"from_index":785,"to_index":69,"sum":122068,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[69,427],"circle_positions":718,"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":[70,428,786],"clock_positions":[70,428,786],"native_values":[321,321,680],"rotation_degrees":23.463687150837988,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,321,680],"beta":{"interval_sums":[132868,128560,122098],"interval_residues":[38,38,38],"display_cycle":[38,38,38],"intervals":[{"from_index":70,"to_index":428,"sum":132868,"residue":38},{"from_index":428,"to_index":786,"sum":128560,"residue":38},{"from_index":786,"to_index":70,"sum":122098,"residue":38}],"minimal_cycle":[38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[70,428],"circle_positions":718,"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":[71,429,787],"clock_positions":[71,429,787],"native_values":[313,672,313],"rotation_degrees":23.798882681564248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,672,313],"beta":{"interval_sums":[132876,128568,122106],"interval_residues":[46,46,46],"display_cycle":[46,46,46],"intervals":[{"from_index":71,"to_index":429,"sum":132876,"residue":46},{"from_index":429,"to_index":787,"sum":128568,"residue":46},{"from_index":787,"to_index":71,"sum":122106,"residue":46}],"minimal_cycle":[46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[71,429],"circle_positions":718,"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":[72,430,788],"clock_positions":[72,430,788],"native_values":[634,275,275],"rotation_degrees":24.134078212290504,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,275,275],"beta":{"interval_sums":[132914,128606,122144],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":72,"to_index":430,"sum":132914,"residue":84},{"from_index":430,"to_index":788,"sum":128606,"residue":84},{"from_index":788,"to_index":72,"sum":122144,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[72,430],"circle_positions":718,"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":[73,431,789],"clock_positions":[73,431,789],"native_values":[229,229,588],"rotation_degrees":24.46927374301676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,229,588],"beta":{"interval_sums":[132960,128652,122190],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":73,"to_index":431,"sum":132960,"residue":130},{"from_index":431,"to_index":789,"sum":128652,"residue":130},{"from_index":789,"to_index":73,"sum":122190,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[73,431],"circle_positions":718,"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":[74,432,790],"clock_positions":[74,432,790],"native_values":[145,504,145],"rotation_degrees":24.804469273743017,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,504,145],"beta":{"interval_sums":[133044,128736,122274],"interval_residues":[214,214,214],"display_cycle":[214,214,214],"intervals":[{"from_index":74,"to_index":432,"sum":133044,"residue":214},{"from_index":432,"to_index":790,"sum":128736,"residue":214},{"from_index":790,"to_index":74,"sum":122274,"residue":214}],"minimal_cycle":[214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[74,432],"circle_positions":718,"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":[75,433,791],"clock_positions":[75,433,791],"native_values":[374,15,15],"rotation_degrees":25.139664804469273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,15,15],"beta":{"interval_sums":[133174,128866,122404],"interval_residues":[344,344,344],"display_cycle":[344,344,344],"intervals":[{"from_index":75,"to_index":433,"sum":133174,"residue":344},{"from_index":433,"to_index":791,"sum":128866,"residue":344},{"from_index":791,"to_index":75,"sum":122404,"residue":344}],"minimal_cycle":[344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[75,433],"circle_positions":718,"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":[76,434,792],"clock_positions":[76,434,792],"native_values":[519,519,160],"rotation_degrees":25.47486033519553,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,519,160],"beta":{"interval_sums":[132670,128362,122618],"interval_residues":[558,558,558],"display_cycle":[558,558,558],"intervals":[{"from_index":76,"to_index":434,"sum":132670,"residue":558},{"from_index":434,"to_index":792,"sum":128362,"residue":558},{"from_index":792,"to_index":76,"sum":122618,"residue":558}],"minimal_cycle":[558],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[76,434],"circle_positions":718,"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":[77,435,793],"clock_positions":[77,435,793],"native_values":[175,534,175],"rotation_degrees":25.810055865921786,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,534,175],"beta":{"interval_sums":[133014,127988,122962],"interval_residues":[184,184,184],"display_cycle":[184,184,184],"intervals":[{"from_index":77,"to_index":435,"sum":133014,"residue":184},{"from_index":435,"to_index":793,"sum":127988,"residue":184},{"from_index":793,"to_index":77,"sum":122962,"residue":184}],"minimal_cycle":[184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[77,435],"circle_positions":718,"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":[78,436,794],"clock_positions":[78,436,794],"native_values":[694,335,335],"rotation_degrees":26.145251396648046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,335,335],"beta":{"interval_sums":[132854,127828,122802],"interval_residues":[24,24,24],"display_cycle":[24,24,24],"intervals":[{"from_index":78,"to_index":436,"sum":132854,"residue":24},{"from_index":436,"to_index":794,"sum":127828,"residue":24},{"from_index":794,"to_index":78,"sum":122802,"residue":24}],"minimal_cycle":[24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[78,436],"circle_positions":718,"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":[79,437,795],"clock_positions":[79,437,795],"native_values":[151,151,510],"rotation_degrees":26.480446927374302,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,151,510],"beta":{"interval_sums":[133038,128012,122986],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":79,"to_index":437,"sum":133038,"residue":208},{"from_index":437,"to_index":795,"sum":128012,"residue":208},{"from_index":795,"to_index":79,"sum":122986,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[79,437],"circle_positions":718,"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":[80,438,796],"clock_positions":[80,438,796],"native_values":[127,486,127],"rotation_degrees":26.81564245810056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,486,127],"beta":{"interval_sums":[133062,128036,123010],"interval_residues":[232,232,232],"display_cycle":[232,232,232],"intervals":[{"from_index":80,"to_index":438,"sum":133062,"residue":232},{"from_index":438,"to_index":796,"sum":128036,"residue":232},{"from_index":796,"to_index":80,"sum":123010,"residue":232}],"minimal_cycle":[232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[80,438],"circle_positions":718,"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":[81,439,797],"clock_positions":[81,439,797],"native_values":[278,637,637],"rotation_degrees":27.150837988826815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,637,637],"beta":{"interval_sums":[133270,127526,122500],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":81,"to_index":439,"sum":133270,"residue":440},{"from_index":439,"to_index":797,"sum":127526,"residue":440},{"from_index":797,"to_index":81,"sum":122500,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[81,439],"circle_positions":718,"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":[82,440,798],"clock_positions":[82,440,798],"native_values":[405,405,46],"rotation_degrees":27.48603351955307,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,405,46],"beta":{"interval_sums":[133502,127758,122732],"interval_residues":[672,672,672],"display_cycle":[672,672,672],"intervals":[{"from_index":82,"to_index":440,"sum":133502,"residue":672},{"from_index":440,"to_index":798,"sum":127758,"residue":672},{"from_index":798,"to_index":82,"sum":122732,"residue":672}],"minimal_cycle":[672],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":672,"start_interval_clock_positions":[82,440],"circle_positions":718,"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":[83,441,799],"clock_positions":[83,441,799],"native_values":[683,324,683],"rotation_degrees":27.821229050279328,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,324,683],"beta":{"interval_sums":[133224,127480,122454],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":83,"to_index":441,"sum":133224,"residue":394},{"from_index":441,"to_index":799,"sum":127480,"residue":394},{"from_index":799,"to_index":83,"sum":122454,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[83,441],"circle_positions":718,"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":[84,442,800],"clock_positions":[84,442,800],"native_values":[370,11,11],"rotation_degrees":28.156424581005588,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,11,11],"beta":{"interval_sums":[133178,128152,123126],"interval_residues":[348,348,348],"display_cycle":[348,348,348],"intervals":[{"from_index":84,"to_index":442,"sum":133178,"residue":348},{"from_index":442,"to_index":800,"sum":128152,"residue":348},{"from_index":800,"to_index":84,"sum":123126,"residue":348}],"minimal_cycle":[348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[84,442],"circle_positions":718,"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":[85,443,801],"clock_positions":[85,443,801],"native_values":[335,335,694],"rotation_degrees":28.491620111731844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,335,694],"beta":{"interval_sums":[132854,127828,122802],"interval_residues":[24,24,24],"display_cycle":[24,24,24],"intervals":[{"from_index":85,"to_index":443,"sum":132854,"residue":24},{"from_index":443,"to_index":801,"sum":127828,"residue":24},{"from_index":801,"to_index":85,"sum":122802,"residue":24}],"minimal_cycle":[24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[85,443],"circle_positions":718,"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":[86,444,802],"clock_positions":[86,444,802],"native_values":[705,346,705],"rotation_degrees":28.8268156424581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,346,705],"beta":{"interval_sums":[132484,128176,122432],"interval_residues":[372,372,372],"display_cycle":[372,372,372],"intervals":[{"from_index":86,"to_index":444,"sum":132484,"residue":372},{"from_index":444,"to_index":802,"sum":128176,"residue":372},{"from_index":802,"to_index":86,"sum":122432,"residue":372}],"minimal_cycle":[372],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[86,444],"circle_positions":718,"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":[87,445,803],"clock_positions":[87,445,803],"native_values":[322,681,681],"rotation_degrees":29.162011173184357,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,681,681],"beta":{"interval_sums":[132508,128200,122456],"interval_residues":[396,396,396],"display_cycle":[396,396,396],"intervals":[{"from_index":87,"to_index":445,"sum":132508,"residue":396},{"from_index":445,"to_index":803,"sum":128200,"residue":396},{"from_index":803,"to_index":87,"sum":122456,"residue":396}],"minimal_cycle":[396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[87,445],"circle_positions":718,"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":[88,446,804],"clock_positions":[88,446,804],"native_values":[309,309,668],"rotation_degrees":29.497206703910614,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,309,668],"beta":{"interval_sums":[132880,128572,122110],"interval_residues":[50,50,50],"display_cycle":[50,50,50],"intervals":[{"from_index":88,"to_index":446,"sum":132880,"residue":50},{"from_index":446,"to_index":804,"sum":128572,"residue":50},{"from_index":804,"to_index":88,"sum":122110,"residue":50}],"minimal_cycle":[50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[88,446],"circle_positions":718,"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":[89,447,805],"clock_positions":[89,447,805],"native_values":[631,272,631],"rotation_degrees":29.83240223463687,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,272,631],"beta":{"interval_sums":[132558,128968,121788],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":89,"to_index":447,"sum":132558,"residue":446},{"from_index":447,"to_index":805,"sum":128968,"residue":446},{"from_index":805,"to_index":89,"sum":121788,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[89,447],"circle_positions":718,"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":[90,448,806],"clock_positions":[90,448,806],"native_values":[222,581,581],"rotation_degrees":30.16759776536313,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,581,581],"beta":{"interval_sums":[132608,129018,121838],"interval_residues":[496,496,496],"display_cycle":[496,496,496],"intervals":[{"from_index":90,"to_index":448,"sum":132608,"residue":496},{"from_index":448,"to_index":806,"sum":129018,"residue":496},{"from_index":806,"to_index":90,"sum":121838,"residue":496}],"minimal_cycle":[496],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[90,448],"circle_positions":718,"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":[91,449,807],"clock_positions":[91,449,807],"native_values":[135,135,494],"rotation_degrees":30.502793296089386,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,135,494],"beta":{"interval_sums":[133054,129464,121566],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":91,"to_index":449,"sum":133054,"residue":224},{"from_index":449,"to_index":807,"sum":129464,"residue":224},{"from_index":807,"to_index":91,"sum":121566,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[91,449],"circle_positions":718,"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":[92,450,808],"clock_positions":[92,450,808],"native_values":[357,716,357],"rotation_degrees":30.837988826815643,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,716,357],"beta":{"interval_sums":[132832,129242,121344],"interval_residues":[2,2,2],"display_cycle":[2,2,2],"intervals":[{"from_index":92,"to_index":450,"sum":132832,"residue":2},{"from_index":450,"to_index":808,"sum":129242,"residue":2},{"from_index":808,"to_index":92,"sum":121344,"residue":2}],"minimal_cycle":[2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[92,450],"circle_positions":718,"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":[93,451,809],"clock_positions":[93,451,809],"native_values":[492,133,133],"rotation_degrees":31.1731843575419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,133,133],"beta":{"interval_sums":[133056,129466,121568],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":93,"to_index":451,"sum":133056,"residue":226},{"from_index":451,"to_index":809,"sum":129466,"residue":226},{"from_index":809,"to_index":93,"sum":121568,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[93,451],"circle_positions":718,"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":[94,452,810],"clock_positions":[94,452,810],"native_values":[131,131,490],"rotation_degrees":31.508379888268156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,131,490],"beta":{"interval_sums":[133058,129468,121570],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":94,"to_index":452,"sum":133058,"residue":228},{"from_index":452,"to_index":810,"sum":129468,"residue":228},{"from_index":810,"to_index":94,"sum":121570,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[94,452],"circle_positions":718,"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":[95,453,811],"clock_positions":[95,453,811],"native_values":[623,264,623],"rotation_degrees":31.843575418994412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,264,623],"beta":{"interval_sums":[132566,129694,121078],"interval_residues":[454,454,454],"display_cycle":[454,454,454],"intervals":[{"from_index":95,"to_index":453,"sum":132566,"residue":454},{"from_index":453,"to_index":811,"sum":129694,"residue":454},{"from_index":811,"to_index":95,"sum":121078,"residue":454}],"minimal_cycle":[454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[95,453],"circle_positions":718,"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":[96,454,812],"clock_positions":[96,454,812],"native_values":[36,395,395],"rotation_degrees":32.17877094972067,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,395,395],"beta":{"interval_sums":[132794,129922,121306],"interval_residues":[682,682,682],"display_cycle":[682,682,682],"intervals":[{"from_index":96,"to_index":454,"sum":132794,"residue":682},{"from_index":454,"to_index":812,"sum":129922,"residue":682},{"from_index":812,"to_index":96,"sum":121306,"residue":682}],"minimal_cycle":[682],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":682,"start_interval_clock_positions":[96,454],"circle_positions":718,"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":[97,455,813],"clock_positions":[97,455,813],"native_values":[659,659,300],"rotation_degrees":32.513966480446925,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,659,300],"beta":{"interval_sums":[132530,129658,121042],"interval_residues":[418,418,418],"display_cycle":[418,418,418],"intervals":[{"from_index":97,"to_index":455,"sum":132530,"residue":418},{"from_index":455,"to_index":813,"sum":129658,"residue":418},{"from_index":813,"to_index":97,"sum":121042,"residue":418}],"minimal_cycle":[418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[97,455],"circle_positions":718,"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":[98,456,814],"clock_positions":[98,456,814],"native_values":[695,336,695],"rotation_degrees":32.849162011173185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,336,695],"beta":{"interval_sums":[132494,129622,121006],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":98,"to_index":456,"sum":132494,"residue":382},{"from_index":456,"to_index":814,"sum":129622,"residue":382},{"from_index":814,"to_index":98,"sum":121006,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[98,456],"circle_positions":718,"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":[99,457,815],"clock_positions":[99,457,815],"native_values":[636,277,277],"rotation_degrees":33.184357541899445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[636,277,277],"beta":{"interval_sums":[132194,130040,121424],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":99,"to_index":457,"sum":132194,"residue":82},{"from_index":457,"to_index":815,"sum":130040,"residue":82},{"from_index":815,"to_index":99,"sum":121424,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[99,457],"circle_positions":718,"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":[100,458,816],"clock_positions":[100,458,816],"native_values":[613,613,254],"rotation_degrees":33.5195530726257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,613,254],"beta":{"interval_sums":[131858,129704,121806],"interval_residues":[464,464,464],"display_cycle":[464,464,464],"intervals":[{"from_index":100,"to_index":458,"sum":131858,"residue":464},{"from_index":458,"to_index":816,"sum":129704,"residue":464},{"from_index":816,"to_index":100,"sum":121806,"residue":464}],"minimal_cycle":[464],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":464,"start_interval_clock_positions":[100,458],"circle_positions":718,"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":[101,459,817],"clock_positions":[101,459,817],"native_values":[531,172,531],"rotation_degrees":33.85474860335196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,172,531],"beta":{"interval_sums":[131940,129786,121888],"interval_residues":[546,546,546],"display_cycle":[546,546,546],"intervals":[{"from_index":101,"to_index":459,"sum":131940,"residue":546},{"from_index":459,"to_index":817,"sum":129786,"residue":546},{"from_index":817,"to_index":101,"sum":121888,"residue":546}],"minimal_cycle":[546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[101,459],"circle_positions":718,"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":[102,460,818],"clock_positions":[102,460,818],"native_values":[426,67,67],"rotation_degrees":34.18994413407821,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,67,67],"beta":{"interval_sums":[131686,130250,122352],"interval_residues":[292,292,292],"display_cycle":[292,292,292],"intervals":[{"from_index":102,"to_index":460,"sum":131686,"residue":292},{"from_index":460,"to_index":818,"sum":130250,"residue":292},{"from_index":818,"to_index":102,"sum":122352,"residue":292}],"minimal_cycle":[292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":292,"start_interval_clock_positions":[102,460],"circle_positions":718,"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":[103,461,819],"clock_positions":[103,461,819],"native_values":[239,239,598],"rotation_degrees":34.52513966480447,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,239,598],"beta":{"interval_sums":[131514,130078,122180],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":103,"to_index":461,"sum":131514,"residue":120},{"from_index":461,"to_index":819,"sum":130078,"residue":120},{"from_index":819,"to_index":103,"sum":122180,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[103,461],"circle_positions":718,"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":[104,462,820],"clock_positions":[104,462,820],"native_values":[665,306,665],"rotation_degrees":34.86033519553072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,306,665],"beta":{"interval_sums":[131088,130370,121754],"interval_residues":[412,412,412],"display_cycle":[412,412,412],"intervals":[{"from_index":104,"to_index":462,"sum":131088,"residue":412},{"from_index":462,"to_index":820,"sum":130370,"residue":412},{"from_index":820,"to_index":104,"sum":121754,"residue":412}],"minimal_cycle":[412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[104,462],"circle_positions":718,"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":[105,463,821],"clock_positions":[105,463,821],"native_values":[186,545,545],"rotation_degrees":35.19553072625698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[186,545,545],"beta":{"interval_sums":[131208,130490,121874],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":105,"to_index":463,"sum":131208,"residue":532},{"from_index":463,"to_index":821,"sum":130490,"residue":532},{"from_index":821,"to_index":105,"sum":121874,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[105,463],"circle_positions":718,"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":[106,464,822],"clock_positions":[106,464,822],"native_values":[133,133,492],"rotation_degrees":35.53072625698324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,133,492],"beta":{"interval_sums":[131620,130902,121568],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":106,"to_index":464,"sum":131620,"residue":226},{"from_index":464,"to_index":822,"sum":130902,"residue":226},{"from_index":822,"to_index":106,"sum":121568,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[106,464],"circle_positions":718,"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":[107,465,823],"clock_positions":[107,465,823],"native_values":[319,678,319],"rotation_degrees":35.865921787709496,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,678,319],"beta":{"interval_sums":[131434,130716,121382],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":107,"to_index":465,"sum":131434,"residue":40},{"from_index":465,"to_index":823,"sum":130716,"residue":40},{"from_index":823,"to_index":107,"sum":121382,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[107,465],"circle_positions":718,"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":[108,466,824],"clock_positions":[108,466,824],"native_values":[452,93,93],"rotation_degrees":36.201117318435756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,93,93],"beta":{"interval_sums":[131660,130942,121608],"interval_residues":[266,266,266],"display_cycle":[266,266,266],"intervals":[{"from_index":108,"to_index":466,"sum":131660,"residue":266},{"from_index":466,"to_index":824,"sum":130942,"residue":266},{"from_index":824,"to_index":108,"sum":121608,"residue":266}],"minimal_cycle":[266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[108,466],"circle_positions":718,"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":[109,467,825],"clock_positions":[109,467,825],"native_values":[53,53,412],"rotation_degrees":36.53631284916201,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,53,412],"beta":{"interval_sums":[131700,130982,121648],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":109,"to_index":467,"sum":131700,"residue":306},{"from_index":467,"to_index":825,"sum":130982,"residue":306},{"from_index":825,"to_index":109,"sum":121648,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[109,467],"circle_positions":718,"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":[110,468,826],"clock_positions":[110,468,826],"native_values":[505,146,505],"rotation_degrees":36.87150837988827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,146,505],"beta":{"interval_sums":[131248,131248,121196],"interval_residues":[572,572,572],"display_cycle":[572,572,572],"intervals":[{"from_index":110,"to_index":468,"sum":131248,"residue":572},{"from_index":468,"to_index":826,"sum":131248,"residue":572},{"from_index":826,"to_index":110,"sum":121196,"residue":572}],"minimal_cycle":[572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[110,468],"circle_positions":718,"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":[111,469,827],"clock_positions":[111,469,827],"native_values":[558,199,199],"rotation_degrees":37.20670391061452,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,199,199],"beta":{"interval_sums":[130836,131554,121502],"interval_residues":[160,160,160],"display_cycle":[160,160,160],"intervals":[{"from_index":111,"to_index":469,"sum":130836,"residue":160},{"from_index":469,"to_index":827,"sum":131554,"residue":160},{"from_index":827,"to_index":111,"sum":121502,"residue":160}],"minimal_cycle":[160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[111,469],"circle_positions":718,"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":[112,470,828],"clock_positions":[112,470,828],"native_values":[345,345,704],"rotation_degrees":37.54189944134078,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,345,704],"beta":{"interval_sums":[130690,131408,121356],"interval_residues":[14,14,14],"display_cycle":[14,14,14],"intervals":[{"from_index":112,"to_index":470,"sum":130690,"residue":14},{"from_index":470,"to_index":828,"sum":131408,"residue":14},{"from_index":828,"to_index":112,"sum":121356,"residue":14}],"minimal_cycle":[14],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[112,470],"circle_positions":718,"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":[113,471,829],"clock_positions":[113,471,829],"native_values":[185,544,185],"rotation_degrees":37.87709497206704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,544,185],"beta":{"interval_sums":[130850,131568,121516],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":113,"to_index":471,"sum":130850,"residue":174},{"from_index":471,"to_index":829,"sum":131568,"residue":174},{"from_index":829,"to_index":113,"sum":121516,"residue":174}],"minimal_cycle":[174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[113,471],"circle_positions":718,"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":[114,472,830],"clock_positions":[114,472,830],"native_values":[530,171,171],"rotation_degrees":38.212290502793294,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,171,171],"beta":{"interval_sums":[130864,131582,121530],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":114,"to_index":472,"sum":130864,"residue":188},{"from_index":472,"to_index":830,"sum":131582,"residue":188},{"from_index":830,"to_index":114,"sum":121530,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[114,472],"circle_positions":718,"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":[115,473,831],"clock_positions":[115,473,831],"native_values":[715,715,356],"rotation_degrees":38.547486033519554,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,715,356],"beta":{"interval_sums":[130320,131038,121704],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":115,"to_index":473,"sum":130320,"residue":362},{"from_index":473,"to_index":831,"sum":131038,"residue":362},{"from_index":831,"to_index":115,"sum":121704,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[115,473],"circle_positions":718,"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":[116,474,832],"clock_positions":[116,474,832],"native_values":[527,168,527],"rotation_degrees":38.88268156424581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,168,527],"beta":{"interval_sums":[130508,131226,121892],"interval_residues":[550,550,550],"display_cycle":[550,550,550],"intervals":[{"from_index":116,"to_index":474,"sum":130508,"residue":550},{"from_index":474,"to_index":832,"sum":131226,"residue":550},{"from_index":832,"to_index":116,"sum":121892,"residue":550}],"minimal_cycle":[550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[116,474],"circle_positions":718,"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":[117,475,833],"clock_positions":[117,475,833],"native_values":[524,165,165],"rotation_degrees":39.21787709497207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,165,165],"beta":{"interval_sums":[130152,131588,122254],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":117,"to_index":475,"sum":130152,"residue":194},{"from_index":475,"to_index":833,"sum":131588,"residue":194},{"from_index":833,"to_index":117,"sum":122254,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[117,475],"circle_positions":718,"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":[118,476,834],"clock_positions":[118,476,834],"native_values":[333,333,692],"rotation_degrees":39.55307262569833,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,333,692],"beta":{"interval_sums":[129984,131420,122086],"interval_residues":[26,26,26],"display_cycle":[26,26,26],"intervals":[{"from_index":118,"to_index":476,"sum":129984,"residue":26},{"from_index":476,"to_index":834,"sum":131420,"residue":26},{"from_index":834,"to_index":118,"sum":122086,"residue":26}],"minimal_cycle":[26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[118,476],"circle_positions":718,"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":[119,477,835],"clock_positions":[119,477,835],"native_values":[139,498,139],"rotation_degrees":39.88826815642458,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,498,139],"beta":{"interval_sums":[130178,131614,122280],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":119,"to_index":477,"sum":130178,"residue":220},{"from_index":477,"to_index":835,"sum":131614,"residue":220},{"from_index":835,"to_index":119,"sum":122280,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[119,477],"circle_positions":718,"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":[120,478,836],"clock_positions":[120,478,836],"native_values":[472,113,113],"rotation_degrees":40.22346368715084,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,113,113],"beta":{"interval_sums":[130204,131640,122306],"interval_residues":[246,246,246],"display_cycle":[246,246,246],"intervals":[{"from_index":120,"to_index":478,"sum":130204,"residue":246},{"from_index":478,"to_index":836,"sum":131640,"residue":246},{"from_index":836,"to_index":120,"sum":122306,"residue":246}],"minimal_cycle":[246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[120,478],"circle_positions":718,"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":[121,479,837],"clock_positions":[121,479,837],"native_values":[611,611,252],"rotation_degrees":40.55865921787709,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,611,252],"beta":{"interval_sums":[129706,131142,122526],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":121,"to_index":479,"sum":129706,"residue":466},{"from_index":479,"to_index":837,"sum":131142,"residue":466},{"from_index":837,"to_index":121,"sum":122526,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[121,479],"circle_positions":718,"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":[122,480,838],"clock_positions":[122,480,838],"native_values":[365,6,365],"rotation_degrees":40.89385474860335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,6,365],"beta":{"interval_sums":[129952,131388,122772],"interval_residues":[712,712,712],"display_cycle":[712,712,712],"intervals":[{"from_index":122,"to_index":480,"sum":129952,"residue":712},{"from_index":480,"to_index":838,"sum":131388,"residue":712},{"from_index":838,"to_index":122,"sum":122772,"residue":712}],"minimal_cycle":[712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[122,480],"circle_positions":718,"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":[123,481,839],"clock_positions":[123,481,839],"native_values":[258,617,617],"rotation_degrees":41.229050279329606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,617,617],"beta":{"interval_sums":[129700,131136,122520],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":123,"to_index":481,"sum":129700,"residue":460},{"from_index":481,"to_index":839,"sum":131136,"residue":460},{"from_index":839,"to_index":123,"sum":122520,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[123,481],"circle_positions":718,"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":[124,482,840],"clock_positions":[124,482,840],"native_values":[623,623,264],"rotation_degrees":41.564245810055866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,623,264],"beta":{"interval_sums":[129694,131130,122514],"interval_residues":[454,454,454],"display_cycle":[454,454,454],"intervals":[{"from_index":124,"to_index":482,"sum":129694,"residue":454},{"from_index":482,"to_index":840,"sum":131130,"residue":454},{"from_index":840,"to_index":124,"sum":122514,"residue":454}],"minimal_cycle":[454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[124,482],"circle_positions":718,"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":[125,483,841],"clock_positions":[125,483,841],"native_values":[163,522,163],"rotation_degrees":41.899441340782126,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,522,163],"beta":{"interval_sums":[130154,130872,122974],"interval_residues":[196,196,196],"display_cycle":[196,196,196],"intervals":[{"from_index":125,"to_index":483,"sum":130154,"residue":196},{"from_index":483,"to_index":841,"sum":130872,"residue":196},{"from_index":841,"to_index":125,"sum":122974,"residue":196}],"minimal_cycle":[196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[125,483],"circle_positions":718,"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":[126,484,842],"clock_positions":[126,484,842],"native_values":[68,427,427],"rotation_degrees":42.23463687150838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,427,427],"beta":{"interval_sums":[130608,130608,122710],"interval_residues":[650,650,650],"display_cycle":[650,650,650],"intervals":[{"from_index":126,"to_index":484,"sum":130608,"residue":650},{"from_index":484,"to_index":842,"sum":130608,"residue":650},{"from_index":842,"to_index":126,"sum":122710,"residue":650}],"minimal_cycle":[650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[126,484],"circle_positions":718,"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":[127,485,843],"clock_positions":[127,485,843],"native_values":[231,231,590],"rotation_degrees":42.56983240223464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,231,590],"beta":{"interval_sums":[130804,130804,122188],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":127,"to_index":485,"sum":130804,"residue":128},{"from_index":485,"to_index":843,"sum":130804,"residue":128},{"from_index":843,"to_index":127,"sum":122188,"residue":128}],"minimal_cycle":[128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[127,485],"circle_positions":718,"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":[128,486,844],"clock_positions":[128,486,844],"native_values":[299,658,299],"rotation_degrees":42.90502793296089,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,658,299],"beta":{"interval_sums":[130736,130736,122120],"interval_residues":[60,60,60],"display_cycle":[60,60,60],"intervals":[{"from_index":128,"to_index":486,"sum":130736,"residue":60},{"from_index":486,"to_index":844,"sum":130736,"residue":60},{"from_index":844,"to_index":128,"sum":122120,"residue":60}],"minimal_cycle":[60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[128,486],"circle_positions":718,"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":[129,487,845],"clock_positions":[129,487,845],"native_values":[530,171,171],"rotation_degrees":43.24022346368715,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,171,171],"beta":{"interval_sums":[130864,130864,122248],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":129,"to_index":487,"sum":130864,"residue":188},{"from_index":487,"to_index":845,"sum":130864,"residue":188},{"from_index":845,"to_index":129,"sum":122248,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[129,487],"circle_positions":718,"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":[130,488,846],"clock_positions":[130,488,846],"native_values":[111,111,470],"rotation_degrees":43.57541899441341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,111,470],"beta":{"interval_sums":[130924,130924,122308],"interval_residues":[248,248,248],"display_cycle":[248,248,248],"intervals":[{"from_index":130,"to_index":488,"sum":130924,"residue":248},{"from_index":488,"to_index":846,"sum":130924,"residue":248},{"from_index":846,"to_index":130,"sum":122308,"residue":248}],"minimal_cycle":[248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[130,488],"circle_positions":718,"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":[131,489,847],"clock_positions":[131,489,847],"native_values":[641,282,641],"rotation_degrees":43.910614525139664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,282,641],"beta":{"interval_sums":[130394,131112,121778],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":131,"to_index":489,"sum":130394,"residue":436},{"from_index":489,"to_index":847,"sum":131112,"residue":436},{"from_index":847,"to_index":131,"sum":121778,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[131,489],"circle_positions":718,"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":[132,490,848],"clock_positions":[132,490,848],"native_values":[34,393,393],"rotation_degrees":44.245810055865924,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,393,393],"beta":{"interval_sums":[130642,131360,122026],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":132,"to_index":490,"sum":130642,"residue":684},{"from_index":490,"to_index":848,"sum":131360,"residue":684},{"from_index":848,"to_index":132,"sum":122026,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[132,490],"circle_positions":718,"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":[133,491,849],"clock_positions":[133,491,849],"native_values":[675,675,316],"rotation_degrees":44.58100558659218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,675,316],"beta":{"interval_sums":[130360,131078,121744],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":133,"to_index":491,"sum":130360,"residue":402},{"from_index":491,"to_index":849,"sum":131078,"residue":402},{"from_index":849,"to_index":133,"sum":121744,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[133,491],"circle_positions":718,"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":[134,492,850],"clock_positions":[134,492,850],"native_values":[709,350,709],"rotation_degrees":44.91620111731844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,350,709],"beta":{"interval_sums":[130326,131044,121710],"interval_residues":[368,368,368],"display_cycle":[368,368,368],"intervals":[{"from_index":134,"to_index":492,"sum":130326,"residue":368},{"from_index":492,"to_index":850,"sum":131044,"residue":368},{"from_index":850,"to_index":134,"sum":121710,"residue":368}],"minimal_cycle":[368],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":368,"start_interval_clock_positions":[134,492],"circle_positions":718,"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":[135,493,851],"clock_positions":[135,493,851],"native_values":[666,307,307],"rotation_degrees":45.25139664804469,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,307,307],"beta":{"interval_sums":[130010,131446,122112],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":135,"to_index":493,"sum":130010,"residue":52},{"from_index":493,"to_index":851,"sum":131446,"residue":52},{"from_index":851,"to_index":135,"sum":122112,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[135,493],"circle_positions":718,"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":[136,494,852],"clock_positions":[136,494,852],"native_values":[657,657,298],"rotation_degrees":45.58659217877095,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,657,298],"beta":{"interval_sums":[129660,131096,122480],"interval_residues":[420,420,420],"display_cycle":[420,420,420],"intervals":[{"from_index":136,"to_index":494,"sum":129660,"residue":420},{"from_index":494,"to_index":852,"sum":131096,"residue":420},{"from_index":852,"to_index":136,"sum":122480,"residue":420}],"minimal_cycle":[420],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":420,"start_interval_clock_positions":[136,494],"circle_positions":718,"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":[137,495,853],"clock_positions":[137,495,853],"native_values":[605,246,605],"rotation_degrees":45.92178770949721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,246,605],"beta":{"interval_sums":[129712,131148,122532],"interval_residues":[472,472,472],"display_cycle":[472,472,472],"intervals":[{"from_index":137,"to_index":495,"sum":129712,"residue":472},{"from_index":495,"to_index":853,"sum":131148,"residue":472},{"from_index":853,"to_index":137,"sum":122532,"residue":472}],"minimal_cycle":[472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[137,495],"circle_positions":718,"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":[138,496,854],"clock_positions":[138,496,854],"native_values":[544,185,185],"rotation_degrees":46.25698324022346,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,185,185],"beta":{"interval_sums":[129414,131568,122952],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":138,"to_index":496,"sum":129414,"residue":174},{"from_index":496,"to_index":854,"sum":131568,"residue":174},{"from_index":854,"to_index":138,"sum":122952,"residue":174}],"minimal_cycle":[174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[138,496],"circle_positions":718,"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":[139,497,855],"clock_positions":[139,497,855],"native_values":[431,431,72],"rotation_degrees":46.59217877094972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,431,72],"beta":{"interval_sums":[129168,131322,123424],"interval_residues":[646,646,646],"display_cycle":[646,646,646],"intervals":[{"from_index":139,"to_index":497,"sum":129168,"residue":646},{"from_index":497,"to_index":855,"sum":131322,"residue":646},{"from_index":855,"to_index":139,"sum":123424,"residue":646}],"minimal_cycle":[646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[139,497],"circle_positions":718,"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":[140,498,856],"clock_positions":[140,498,856],"native_values":[257,616,257],"rotation_degrees":46.927374301675975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,616,257],"beta":{"interval_sums":[129342,130778,123598],"interval_residues":[102,102,102],"display_cycle":[102,102,102],"intervals":[{"from_index":140,"to_index":498,"sum":129342,"residue":102},{"from_index":498,"to_index":856,"sum":130778,"residue":102},{"from_index":856,"to_index":140,"sum":123598,"residue":102}],"minimal_cycle":[102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[140,498],"circle_positions":718,"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":[141,499,857],"clock_positions":[141,499,857],"native_values":[688,329,329],"rotation_degrees":47.262569832402235,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,329,329],"beta":{"interval_sums":[129270,130706,123526],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":141,"to_index":499,"sum":129270,"residue":30},{"from_index":499,"to_index":857,"sum":130706,"residue":30},{"from_index":857,"to_index":141,"sum":123526,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[141,499],"circle_positions":718,"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":[142,500,858],"clock_positions":[142,500,858],"native_values":[227,227,586],"rotation_degrees":47.597765363128495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,227,586],"beta":{"interval_sums":[129372,130808,123628],"interval_residues":[132,132,132],"display_cycle":[132,132,132],"intervals":[{"from_index":142,"to_index":500,"sum":129372,"residue":132},{"from_index":500,"to_index":858,"sum":130808,"residue":132},{"from_index":858,"to_index":142,"sum":123628,"residue":132}],"minimal_cycle":[132],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":132,"start_interval_clock_positions":[142,500],"circle_positions":718,"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":[143,501,859],"clock_positions":[143,501,859],"native_values":[197,556,197],"rotation_degrees":47.93296089385475,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,556,197],"beta":{"interval_sums":[129402,130838,123658],"interval_residues":[162,162,162],"display_cycle":[162,162,162],"intervals":[{"from_index":143,"to_index":501,"sum":129402,"residue":162},{"from_index":501,"to_index":859,"sum":130838,"residue":162},{"from_index":859,"to_index":143,"sum":123658,"residue":162}],"minimal_cycle":[162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[143,501],"circle_positions":718,"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":[144,502,860],"clock_positions":[144,502,860],"native_values":[424,65,65],"rotation_degrees":48.26815642458101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,65,65],"beta":{"interval_sums":[129534,130970,123790],"interval_residues":[294,294,294],"display_cycle":[294,294,294],"intervals":[{"from_index":144,"to_index":502,"sum":129534,"residue":294},{"from_index":502,"to_index":860,"sum":130970,"residue":294},{"from_index":860,"to_index":144,"sum":123790,"residue":294}],"minimal_cycle":[294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[144,502],"circle_positions":718,"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":[145,503,861],"clock_positions":[145,503,861],"native_values":[621,621,262],"rotation_degrees":48.60335195530726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,621,262],"beta":{"interval_sums":[128978,130414,123952],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":145,"to_index":503,"sum":128978,"residue":456},{"from_index":503,"to_index":861,"sum":130414,"residue":456},{"from_index":861,"to_index":145,"sum":123952,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[145,503],"circle_positions":718,"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":[146,504,862],"clock_positions":[146,504,862],"native_values":[327,686,327],"rotation_degrees":48.93854748603352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,686,327],"beta":{"interval_sums":[129272,129990,124246],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":146,"to_index":504,"sum":129272,"residue":32},{"from_index":504,"to_index":862,"sum":129990,"residue":32},{"from_index":862,"to_index":146,"sum":124246,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[146,504],"circle_positions":718,"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":[147,505,863],"clock_positions":[147,505,863],"native_values":[230,589,589],"rotation_degrees":49.273743016759774,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,589,589],"beta":{"interval_sums":[129728,129728,123984],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":147,"to_index":505,"sum":129728,"residue":488},{"from_index":505,"to_index":863,"sum":129728,"residue":488},{"from_index":863,"to_index":147,"sum":123984,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[147,505],"circle_positions":718,"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":[148,506,864],"clock_positions":[148,506,864],"native_values":[557,557,198],"rotation_degrees":49.608938547486034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,557,198],"beta":{"interval_sums":[129760,129760,124016],"interval_residues":[520,520,520],"display_cycle":[520,520,520],"intervals":[{"from_index":148,"to_index":506,"sum":129760,"residue":520},{"from_index":506,"to_index":864,"sum":129760,"residue":520},{"from_index":864,"to_index":148,"sum":124016,"residue":520}],"minimal_cycle":[520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[148,506],"circle_positions":718,"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":[149,507,865],"clock_positions":[149,507,865],"native_values":[69,428,69],"rotation_degrees":49.944134078212294,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,428,69],"beta":{"interval_sums":[130248,129530,124504],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":149,"to_index":507,"sum":130248,"residue":290},{"from_index":507,"to_index":865,"sum":129530,"residue":290},{"from_index":865,"to_index":149,"sum":124504,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[149,507],"circle_positions":718,"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":[150,508,866],"clock_positions":[150,508,866],"native_values":[626,267,267],"rotation_degrees":50.279329608938546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,267,267],"beta":{"interval_sums":[130050,129332,124306],"interval_residues":[92,92,92],"display_cycle":[92,92,92],"intervals":[{"from_index":150,"to_index":508,"sum":130050,"residue":92},{"from_index":508,"to_index":866,"sum":129332,"residue":92},{"from_index":866,"to_index":150,"sum":124306,"residue":92}],"minimal_cycle":[92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[150,508],"circle_positions":718,"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":[151,509,867],"clock_positions":[151,509,867],"native_values":[695,695,336],"rotation_degrees":50.614525139664806,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,695,336],"beta":{"interval_sums":[129622,128904,124596],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":151,"to_index":509,"sum":129622,"residue":382},{"from_index":509,"to_index":867,"sum":128904,"residue":382},{"from_index":867,"to_index":151,"sum":124596,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[151,509],"circle_positions":718,"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":[152,510,868],"clock_positions":[152,510,868],"native_values":[603,244,603],"rotation_degrees":50.94972067039106,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,244,603],"beta":{"interval_sums":[129714,128996,124688],"interval_residues":[474,474,474],"display_cycle":[474,474,474],"intervals":[{"from_index":152,"to_index":510,"sum":129714,"residue":474},{"from_index":510,"to_index":868,"sum":128996,"residue":474},{"from_index":868,"to_index":152,"sum":124688,"residue":474}],"minimal_cycle":[474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[152,510],"circle_positions":718,"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":[153,511,869],"clock_positions":[153,511,869],"native_values":[580,221,221],"rotation_degrees":51.28491620111732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[580,221,221],"beta":{"interval_sums":[129378,129378,125070],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":153,"to_index":511,"sum":129378,"residue":138},{"from_index":511,"to_index":869,"sum":129378,"residue":138},{"from_index":869,"to_index":153,"sum":125070,"residue":138}],"minimal_cycle":[138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[153,511],"circle_positions":718,"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":[154,512,870],"clock_positions":[154,512,870],"native_values":[465,465,106],"rotation_degrees":51.62011173184357,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[465,465,106],"beta":{"interval_sums":[129134,129134,125544],"interval_residues":[612,612,612],"display_cycle":[612,612,612],"intervals":[{"from_index":154,"to_index":512,"sum":129134,"residue":612},{"from_index":512,"to_index":870,"sum":129134,"residue":612},{"from_index":870,"to_index":154,"sum":125544,"residue":612}],"minimal_cycle":[612],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[154,512],"circle_positions":718,"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":[155,513,871],"clock_positions":[155,513,871],"native_values":[327,686,327],"rotation_degrees":51.95530726256983,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,686,327],"beta":{"interval_sums":[129272,128554,125682],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":155,"to_index":513,"sum":129272,"residue":32},{"from_index":513,"to_index":871,"sum":128554,"residue":32},{"from_index":871,"to_index":155,"sum":125682,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[155,513],"circle_positions":718,"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":[156,514,872],"clock_positions":[156,514,872],"native_values":[74,433,433],"rotation_degrees":52.29050279329609,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,433,433],"beta":{"interval_sums":[129884,128448,125576],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":156,"to_index":514,"sum":129884,"residue":644},{"from_index":514,"to_index":872,"sum":128448,"residue":644},{"from_index":872,"to_index":156,"sum":125576,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[156,514],"circle_positions":718,"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":[157,515,873],"clock_positions":[157,515,873],"native_values":[401,401,42],"rotation_degrees":52.625698324022345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,401,42],"beta":{"interval_sums":[129916,128480,125608],"interval_residues":[676,676,676],"display_cycle":[676,676,676],"intervals":[{"from_index":157,"to_index":515,"sum":129916,"residue":676},{"from_index":515,"to_index":873,"sum":128480,"residue":676},{"from_index":873,"to_index":157,"sum":125608,"residue":676}],"minimal_cycle":[676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[157,515],"circle_positions":718,"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":[158,516,874],"clock_positions":[158,516,874],"native_values":[475,116,475],"rotation_degrees":52.960893854748605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,116,475],"beta":{"interval_sums":[129842,128406,125534],"interval_residues":[602,602,602],"display_cycle":[602,602,602],"intervals":[{"from_index":158,"to_index":516,"sum":129842,"residue":602},{"from_index":516,"to_index":874,"sum":128406,"residue":602},{"from_index":874,"to_index":158,"sum":125534,"residue":602}],"minimal_cycle":[602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[158,516],"circle_positions":718,"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":[159,517,875],"clock_positions":[159,517,875],"native_values":[158,517,517],"rotation_degrees":53.29608938547486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,517,517],"beta":{"interval_sums":[129800,128364,125492],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":159,"to_index":517,"sum":129800,"residue":560},{"from_index":517,"to_index":875,"sum":128364,"residue":560},{"from_index":875,"to_index":159,"sum":125492,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[159,517],"circle_positions":718,"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":[160,518,876],"clock_positions":[160,518,876],"native_values":[633,633,274],"rotation_degrees":53.63128491620112,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,633,274],"beta":{"interval_sums":[129684,128248,125376],"interval_residues":[444,444,444],"display_cycle":[444,444,444],"intervals":[{"from_index":160,"to_index":518,"sum":129684,"residue":444},{"from_index":518,"to_index":876,"sum":128248,"residue":444},{"from_index":876,"to_index":160,"sum":125376,"residue":444}],"minimal_cycle":[444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[160,518],"circle_positions":718,"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":[161,519,877],"clock_positions":[161,519,877],"native_values":[73,432,73],"rotation_degrees":53.96648044692738,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,432,73],"beta":{"interval_sums":[130244,128090,125936],"interval_residues":[286,286,286],"display_cycle":[286,286,286],"intervals":[{"from_index":161,"to_index":519,"sum":130244,"residue":286},{"from_index":519,"to_index":877,"sum":128090,"residue":286},{"from_index":877,"to_index":161,"sum":125936,"residue":286}],"minimal_cycle":[286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[161,519],"circle_positions":718,"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":[162,520,878],"clock_positions":[162,520,878],"native_values":[706,347,347],"rotation_degrees":54.30167597765363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,347,347],"beta":{"interval_sums":[129970,127816,125662],"interval_residues":[12,12,12],"display_cycle":[12,12,12],"intervals":[{"from_index":162,"to_index":520,"sum":129970,"residue":12},{"from_index":520,"to_index":878,"sum":127816,"residue":12},{"from_index":878,"to_index":162,"sum":125662,"residue":12}],"minimal_cycle":[12],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":12,"start_interval_clock_positions":[162,520],"circle_positions":718,"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":[163,521,879],"clock_positions":[163,521,879],"native_values":[61,61,420],"rotation_degrees":54.63687150837989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,61,420],"beta":{"interval_sums":[130256,128102,125948],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":163,"to_index":521,"sum":130256,"residue":298},{"from_index":521,"to_index":879,"sum":128102,"residue":298},{"from_index":879,"to_index":163,"sum":125948,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[163,521],"circle_positions":718,"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":[164,522,880],"clock_positions":[164,522,880],"native_values":[49,408,49],"rotation_degrees":54.97206703910614,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,408,49],"beta":{"interval_sums":[130268,128114,125960],"interval_residues":[310,310,310],"display_cycle":[310,310,310],"intervals":[{"from_index":164,"to_index":522,"sum":130268,"residue":310},{"from_index":522,"to_index":880,"sum":128114,"residue":310},{"from_index":880,"to_index":164,"sum":125960,"residue":310}],"minimal_cycle":[310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[164,522],"circle_positions":718,"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":[165,523,881],"clock_positions":[165,523,881],"native_values":[110,469,469],"rotation_degrees":55.3072625698324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,469,469],"beta":{"interval_sums":[130566,127694,125540],"interval_residues":[608,608,608],"display_cycle":[608,608,608],"intervals":[{"from_index":165,"to_index":523,"sum":130566,"residue":608},{"from_index":523,"to_index":881,"sum":127694,"residue":608},{"from_index":881,"to_index":165,"sum":125540,"residue":608}],"minimal_cycle":[608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[165,523],"circle_positions":718,"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":[166,524,882],"clock_positions":[166,524,882],"native_values":[159,159,518],"rotation_degrees":55.642458100558656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,159,518],"beta":{"interval_sums":[130876,128004,125132],"interval_residues":[200,200,200],"display_cycle":[200,200,200],"intervals":[{"from_index":166,"to_index":524,"sum":130876,"residue":200},{"from_index":524,"to_index":882,"sum":128004,"residue":200},{"from_index":882,"to_index":166,"sum":125132,"residue":200}],"minimal_cycle":[200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[166,524],"circle_positions":718,"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":[167,525,883],"clock_positions":[167,525,883],"native_values":[269,628,269],"rotation_degrees":55.977653631284916,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,628,269],"beta":{"interval_sums":[130766,127894,125022],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":167,"to_index":525,"sum":130766,"residue":90},{"from_index":525,"to_index":883,"sum":127894,"residue":90},{"from_index":883,"to_index":167,"sum":125022,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[167,525],"circle_positions":718,"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":[168,526,884],"clock_positions":[168,526,884],"native_values":[428,69,69],"rotation_degrees":56.312849162011176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,69,69],"beta":{"interval_sums":[130966,128094,125222],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":168,"to_index":526,"sum":130966,"residue":290},{"from_index":526,"to_index":884,"sum":128094,"residue":290},{"from_index":884,"to_index":168,"sum":125222,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[168,526],"circle_positions":718,"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":[169,527,885],"clock_positions":[169,527,885],"native_values":[697,697,338],"rotation_degrees":56.64804469273743,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,697,338],"beta":{"interval_sums":[130338,127466,125312],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":169,"to_index":527,"sum":130338,"residue":380},{"from_index":527,"to_index":885,"sum":127466,"residue":380},{"from_index":885,"to_index":169,"sum":125312,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[169,527],"circle_positions":718,"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":[170,528,886],"clock_positions":[170,528,886],"native_values":[407,48,407],"rotation_degrees":56.98324022346369,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,48,407],"beta":{"interval_sums":[130628,127756,125602],"interval_residues":[670,670,670],"display_cycle":[670,670,670],"intervals":[{"from_index":170,"to_index":528,"sum":130628,"residue":670},{"from_index":528,"to_index":886,"sum":127756,"residue":670},{"from_index":886,"to_index":170,"sum":125602,"residue":670}],"minimal_cycle":[670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[170,528],"circle_positions":718,"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":[171,529,887],"clock_positions":[171,529,887],"native_values":[386,27,27],"rotation_degrees":57.31843575418994,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,27,27],"beta":{"interval_sums":[130290,128136,125982],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":171,"to_index":529,"sum":130290,"residue":332},{"from_index":529,"to_index":887,"sum":128136,"residue":332},{"from_index":887,"to_index":171,"sum":125982,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[171,529],"circle_positions":718,"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":[172,530,888],"clock_positions":[172,530,888],"native_values":[75,75,434],"rotation_degrees":57.6536312849162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,75,434],"beta":{"interval_sums":[130242,128088,125934],"interval_residues":[284,284,284],"display_cycle":[284,284,284],"intervals":[{"from_index":172,"to_index":530,"sum":130242,"residue":284},{"from_index":530,"to_index":888,"sum":128088,"residue":284},{"from_index":888,"to_index":172,"sum":125934,"residue":284}],"minimal_cycle":[284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[172,530],"circle_positions":718,"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":[173,531,889],"clock_positions":[173,531,889],"native_values":[461,102,461],"rotation_degrees":57.98882681564246,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,102,461],"beta":{"interval_sums":[129856,128420,125548],"interval_residues":[616,616,616],"display_cycle":[616,616,616],"intervals":[{"from_index":173,"to_index":531,"sum":129856,"residue":616},{"from_index":531,"to_index":889,"sum":128420,"residue":616},{"from_index":889,"to_index":173,"sum":125548,"residue":616}],"minimal_cycle":[616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[173,531],"circle_positions":718,"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":[174,532,890],"clock_positions":[174,532,890],"native_values":[536,177,177],"rotation_degrees":58.324022346368714,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,177,177],"beta":{"interval_sums":[129422,128704,125832],"interval_residues":[182,182,182],"display_cycle":[182,182,182],"intervals":[{"from_index":174,"to_index":532,"sum":129422,"residue":182},{"from_index":532,"to_index":890,"sum":128704,"residue":182},{"from_index":890,"to_index":174,"sum":125832,"residue":182}],"minimal_cycle":[182],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[174,532],"circle_positions":718,"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":[175,533,891],"clock_positions":[175,533,891],"native_values":[279,279,638],"rotation_degrees":58.659217877094974,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,279,638],"beta":{"interval_sums":[129320,128602,125730],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":175,"to_index":533,"sum":129320,"residue":80},{"from_index":533,"to_index":891,"sum":128602,"residue":80},{"from_index":891,"to_index":175,"sum":125730,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[175,533],"circle_positions":718,"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":[176,534,892],"clock_positions":[176,534,892],"native_values":[97,456,97],"rotation_degrees":58.99441340782123,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,456,97],"beta":{"interval_sums":[129502,128784,125912],"interval_residues":[262,262,262],"display_cycle":[262,262,262],"intervals":[{"from_index":176,"to_index":534,"sum":129502,"residue":262},{"from_index":534,"to_index":892,"sum":128784,"residue":262},{"from_index":892,"to_index":176,"sum":125912,"residue":262}],"minimal_cycle":[262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":262,"start_interval_clock_positions":[176,534],"circle_positions":718,"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":[177,535,893],"clock_positions":[177,535,893],"native_values":[376,17,17],"rotation_degrees":59.32960893854749,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[376,17,17],"beta":{"interval_sums":[129582,128864,125992],"interval_residues":[342,342,342],"display_cycle":[342,342,342],"intervals":[{"from_index":177,"to_index":535,"sum":129582,"residue":342},{"from_index":535,"to_index":893,"sum":128864,"residue":342},{"from_index":893,"to_index":177,"sum":125992,"residue":342}],"minimal_cycle":[342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[177,535],"circle_positions":718,"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":[178,536,894],"clock_positions":[178,536,894],"native_values":[473,473,114],"rotation_degrees":59.66480446927374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,473,114],"beta":{"interval_sums":[129126,128408,126254],"interval_residues":[604,604,604],"display_cycle":[604,604,604],"intervals":[{"from_index":178,"to_index":536,"sum":129126,"residue":604},{"from_index":536,"to_index":894,"sum":128408,"residue":604},{"from_index":894,"to_index":178,"sum":126254,"residue":604}],"minimal_cycle":[604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[178,536],"circle_positions":718,"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":[179,537,895],"clock_positions":[179,537,895],"native_values":[131,490,131],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,490,131],"beta":{"interval_sums":[129468,128032,126596],"interval_residues":[228,228,228],"display_cycle":[228,228,228],"intervals":[{"from_index":179,"to_index":537,"sum":129468,"residue":228},{"from_index":537,"to_index":895,"sum":128032,"residue":228},{"from_index":895,"to_index":179,"sum":126596,"residue":228}],"minimal_cycle":[228],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[179,537],"circle_positions":718,"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":[180,538,896],"clock_positions":[180,538,896],"native_values":[604,245,245],"rotation_degrees":60.33519553072626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[604,245,245],"beta":{"interval_sums":[129354,127918,126482],"interval_residues":[114,114,114],"display_cycle":[114,114,114],"intervals":[{"from_index":180,"to_index":538,"sum":129354,"residue":114},{"from_index":538,"to_index":896,"sum":127918,"residue":114},{"from_index":896,"to_index":180,"sum":126482,"residue":114}],"minimal_cycle":[114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[180,538],"circle_positions":718,"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":[181,539,897],"clock_positions":[181,539,897],"native_values":[17,17,376],"rotation_degrees":60.67039106145251,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,17,376],"beta":{"interval_sums":[129582,128146,126710],"interval_residues":[342,342,342],"display_cycle":[342,342,342],"intervals":[{"from_index":181,"to_index":539,"sum":129582,"residue":342},{"from_index":539,"to_index":897,"sum":128146,"residue":342},{"from_index":897,"to_index":181,"sum":126710,"residue":342}],"minimal_cycle":[342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[181,539],"circle_positions":718,"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":[182,540,898],"clock_positions":[182,540,898],"native_values":[621,262,621],"rotation_degrees":61.00558659217877,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,262,621],"beta":{"interval_sums":[128978,128260,126106],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":182,"to_index":540,"sum":128978,"residue":456},{"from_index":540,"to_index":898,"sum":128260,"residue":456},{"from_index":898,"to_index":182,"sum":126106,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[182,540],"circle_positions":718,"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":[183,541,899],"clock_positions":[183,541,899],"native_values":[638,279,279],"rotation_degrees":61.340782122905026,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[638,279,279],"beta":{"interval_sums":[128602,128602,126448],"interval_residues":[80,80,80],"display_cycle":[80,80,80],"intervals":[{"from_index":183,"to_index":541,"sum":128602,"residue":80},{"from_index":541,"to_index":899,"sum":128602,"residue":80},{"from_index":899,"to_index":183,"sum":126448,"residue":80}],"minimal_cycle":[80],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":80,"start_interval_clock_positions":[183,541],"circle_positions":718,"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":[184,542,900],"clock_positions":[184,542,900],"native_values":[541,541,182],"rotation_degrees":61.675977653631286,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[541,541,182],"beta":{"interval_sums":[128340,128340,126904],"interval_residues":[536,536,536],"display_cycle":[536,536,536],"intervals":[{"from_index":184,"to_index":542,"sum":128340,"residue":536},{"from_index":542,"to_index":900,"sum":128340,"residue":536},{"from_index":900,"to_index":184,"sum":126904,"residue":536}],"minimal_cycle":[536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[184,542],"circle_positions":718,"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":[185,543,901],"clock_positions":[185,543,901],"native_values":[461,102,461],"rotation_degrees":62.01117318435754,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,102,461],"beta":{"interval_sums":[128420,128420,126984],"interval_residues":[616,616,616],"display_cycle":[616,616,616],"intervals":[{"from_index":185,"to_index":543,"sum":128420,"residue":616},{"from_index":543,"to_index":901,"sum":128420,"residue":616},{"from_index":901,"to_index":185,"sum":126984,"residue":616}],"minimal_cycle":[616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[185,543],"circle_positions":718,"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":[186,544,902],"clock_positions":[186,544,902],"native_values":[284,643,643],"rotation_degrees":62.3463687150838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[284,643,643],"beta":{"interval_sums":[128238,128238,126802],"interval_residues":[434,434,434],"display_cycle":[434,434,434],"intervals":[{"from_index":186,"to_index":544,"sum":128238,"residue":434},{"from_index":544,"to_index":902,"sum":128238,"residue":434},{"from_index":902,"to_index":186,"sum":126802,"residue":434}],"minimal_cycle":[434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[186,544],"circle_positions":718,"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":[187,545,903],"clock_positions":[187,545,903],"native_values":[27,27,386],"rotation_degrees":62.68156424581006,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[27,27,386],"beta":{"interval_sums":[128854,128854,126700],"interval_residues":[332,332,332],"display_cycle":[332,332,332],"intervals":[{"from_index":187,"to_index":545,"sum":128854,"residue":332},{"from_index":545,"to_index":903,"sum":128854,"residue":332},{"from_index":903,"to_index":187,"sum":126700,"residue":332}],"minimal_cycle":[332],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[187,545],"circle_positions":718,"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":[188,546,904],"clock_positions":[188,546,904],"native_values":[311,670,311],"rotation_degrees":63.01675977653631,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[311,670,311],"beta":{"interval_sums":[128570,128570,126416],"interval_residues":[48,48,48],"display_cycle":[48,48,48],"intervals":[{"from_index":188,"to_index":546,"sum":128570,"residue":48},{"from_index":546,"to_index":904,"sum":128570,"residue":48},{"from_index":904,"to_index":188,"sum":126416,"residue":48}],"minimal_cycle":[48],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":48,"start_interval_clock_positions":[188,546],"circle_positions":718,"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":[189,547,905],"clock_positions":[189,547,905],"native_values":[338,697,697],"rotation_degrees":63.35195530726257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[338,697,697],"beta":{"interval_sums":[128902,128184,126030],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":189,"to_index":547,"sum":128902,"residue":380},{"from_index":547,"to_index":905,"sum":128184,"residue":380},{"from_index":905,"to_index":189,"sum":126030,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[189,547],"circle_positions":718,"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":[190,548,906],"clock_positions":[190,548,906],"native_values":[649,649,290],"rotation_degrees":63.687150837988824,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[649,649,290],"beta":{"interval_sums":[128950,128232,126078],"interval_residues":[428,428,428],"display_cycle":[428,428,428],"intervals":[{"from_index":190,"to_index":548,"sum":128950,"residue":428},{"from_index":548,"to_index":906,"sum":128232,"residue":428},{"from_index":906,"to_index":190,"sum":126078,"residue":428}],"minimal_cycle":[428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":428,"start_interval_clock_positions":[190,548],"circle_positions":718,"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":[191,549,907],"clock_positions":[191,549,907],"native_values":[269,628,269],"rotation_degrees":64.02234636871508,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,628,269],"beta":{"interval_sums":[129330,127894,126458],"interval_residues":[90,90,90],"display_cycle":[90,90,90],"intervals":[{"from_index":191,"to_index":549,"sum":129330,"residue":90},{"from_index":549,"to_index":907,"sum":127894,"residue":90},{"from_index":907,"to_index":191,"sum":126458,"residue":90}],"minimal_cycle":[90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[191,549],"circle_positions":718,"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":[192,550,908],"clock_positions":[192,550,908],"native_values":[200,559,559],"rotation_degrees":64.35754189944134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,559,559],"beta":{"interval_sums":[129758,127604,126168],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":192,"to_index":550,"sum":129758,"residue":518},{"from_index":550,"to_index":908,"sum":127604,"residue":518},{"from_index":908,"to_index":192,"sum":126168,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[192,550],"circle_positions":718,"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":[193,551,909],"clock_positions":[193,551,909],"native_values":[469,469,110],"rotation_degrees":64.6927374301676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,469,110],"beta":{"interval_sums":[129848,127694,126258],"interval_residues":[608,608,608],"display_cycle":[608,608,608],"intervals":[{"from_index":193,"to_index":551,"sum":129848,"residue":608},{"from_index":551,"to_index":909,"sum":127694,"residue":608},{"from_index":909,"to_index":193,"sum":126258,"residue":608}],"minimal_cycle":[608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[193,551],"circle_positions":718,"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":[194,552,910],"clock_positions":[194,552,910],"native_values":[669,310,669],"rotation_degrees":65.02793296089385,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,310,669],"beta":{"interval_sums":[129648,127494,126058],"interval_residues":[408,408,408],"display_cycle":[408,408,408],"intervals":[{"from_index":194,"to_index":552,"sum":129648,"residue":408},{"from_index":552,"to_index":910,"sum":127494,"residue":408},{"from_index":910,"to_index":194,"sum":126058,"residue":408}],"minimal_cycle":[408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[194,552],"circle_positions":718,"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":[195,553,911],"clock_positions":[195,553,911],"native_values":[420,61,61],"rotation_degrees":65.36312849162012,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,61,61],"beta":{"interval_sums":[129538,128102,126666],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":195,"to_index":553,"sum":129538,"residue":298},{"from_index":553,"to_index":911,"sum":128102,"residue":298},{"from_index":911,"to_index":195,"sum":126666,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[195,553],"circle_positions":718,"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":[196,554,912],"clock_positions":[196,554,912],"native_values":[371,371,12],"rotation_degrees":65.69832402234637,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[371,371,12],"beta":{"interval_sums":[129228,127792,127074],"interval_residues":[706,706,706],"display_cycle":[706,706,706],"intervals":[{"from_index":196,"to_index":554,"sum":129228,"residue":706},{"from_index":554,"to_index":912,"sum":127792,"residue":706},{"from_index":912,"to_index":196,"sum":127074,"residue":706}],"minimal_cycle":[706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[196,554],"circle_positions":718,"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":[197,555,913],"clock_positions":[197,555,913],"native_values":[73,432,73],"rotation_degrees":66.03351955307262,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,432,73],"beta":{"interval_sums":[129526,127372,127372],"interval_residues":[286,286,286],"display_cycle":[286,286,286],"intervals":[{"from_index":197,"to_index":555,"sum":129526,"residue":286},{"from_index":555,"to_index":913,"sum":127372,"residue":286},{"from_index":913,"to_index":197,"sum":127372,"residue":286}],"minimal_cycle":[286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":286,"start_interval_clock_positions":[197,555],"circle_positions":718,"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":[198,556,914],"clock_positions":[198,556,914],"native_values":[444,85,85],"rotation_degrees":66.36871508379889,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[444,85,85],"beta":{"interval_sums":[129514,127360,127360],"interval_residues":[274,274,274],"display_cycle":[274,274,274],"intervals":[{"from_index":198,"to_index":556,"sum":129514,"residue":274},{"from_index":556,"to_index":914,"sum":127360,"residue":274},{"from_index":914,"to_index":198,"sum":127360,"residue":274}],"minimal_cycle":[274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[198,556],"circle_positions":718,"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":[199,557,915],"clock_positions":[199,557,915],"native_values":[517,517,158],"rotation_degrees":66.70391061452514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[517,517,158],"beta":{"interval_sums":[129082,126928,127646],"interval_residues":[560,560,560],"display_cycle":[560,560,560],"intervals":[{"from_index":199,"to_index":557,"sum":129082,"residue":560},{"from_index":557,"to_index":915,"sum":126928,"residue":560},{"from_index":915,"to_index":199,"sum":127646,"residue":560}],"minimal_cycle":[560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":560,"start_interval_clock_positions":[199,557],"circle_positions":718,"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":[200,558,916],"clock_positions":[200,558,916],"native_values":[243,602,243],"rotation_degrees":67.0391061452514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,602,243],"beta":{"interval_sums":[129356,126484,127920],"interval_residues":[116,116,116],"display_cycle":[116,116,116],"intervals":[{"from_index":200,"to_index":558,"sum":129356,"residue":116},{"from_index":558,"to_index":916,"sum":126484,"residue":116},{"from_index":916,"to_index":200,"sum":127920,"residue":116}],"minimal_cycle":[116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[200,558],"circle_positions":718,"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":[201,559,917],"clock_positions":[201,559,917],"native_values":[42,401,401],"rotation_degrees":67.37430167597765,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[42,401,401],"beta":{"interval_sums":[129916,126326,127762],"interval_residues":[676,676,676],"display_cycle":[676,676,676],"intervals":[{"from_index":201,"to_index":559,"sum":129916,"residue":676},{"from_index":559,"to_index":917,"sum":126326,"residue":676},{"from_index":917,"to_index":201,"sum":127762,"residue":676}],"minimal_cycle":[676],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[201,559],"circle_positions":718,"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":[202,560,918],"clock_positions":[202,560,918],"native_values":[285,285,644],"rotation_degrees":67.70949720670392,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,285,644],"beta":{"interval_sums":[130032,126442,127160],"interval_residues":[74,74,74],"display_cycle":[74,74,74],"intervals":[{"from_index":202,"to_index":560,"sum":130032,"residue":74},{"from_index":560,"to_index":918,"sum":126442,"residue":74},{"from_index":918,"to_index":202,"sum":127160,"residue":74}],"minimal_cycle":[74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[202,560],"circle_positions":718,"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":[203,561,919],"clock_positions":[203,561,919],"native_values":[327,686,327],"rotation_degrees":68.04469273743017,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,686,327],"beta":{"interval_sums":[129990,126400,127118],"interval_residues":[32,32,32],"display_cycle":[32,32,32],"intervals":[{"from_index":203,"to_index":561,"sum":129990,"residue":32},{"from_index":561,"to_index":919,"sum":126400,"residue":32},{"from_index":919,"to_index":203,"sum":127118,"residue":32}],"minimal_cycle":[32],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":32,"start_interval_clock_positions":[203,561],"circle_positions":718,"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":[204,562,920],"clock_positions":[204,562,920],"native_values":[612,253,253],"rotation_degrees":68.37988826815642,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[612,253,253],"beta":{"interval_sums":[130064,126474,127192],"interval_residues":[106,106,106],"display_cycle":[106,106,106],"intervals":[{"from_index":204,"to_index":562,"sum":130064,"residue":106},{"from_index":562,"to_index":920,"sum":126474,"residue":106},{"from_index":920,"to_index":204,"sum":127192,"residue":106}],"minimal_cycle":[106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[204,562],"circle_positions":718,"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":[205,563,921],"clock_positions":[205,563,921],"native_values":[221,221,580],"rotation_degrees":68.71508379888269,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,221,580],"beta":{"interval_sums":[130096,126506,127224],"interval_residues":[138,138,138],"display_cycle":[138,138,138],"intervals":[{"from_index":205,"to_index":563,"sum":130096,"residue":138},{"from_index":563,"to_index":921,"sum":126506,"residue":138},{"from_index":921,"to_index":205,"sum":127224,"residue":138}],"minimal_cycle":[138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[205,563],"circle_positions":718,"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":[206,564,922],"clock_positions":[206,564,922],"native_values":[115,474,115],"rotation_degrees":69.05027932960894,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,474,115],"beta":{"interval_sums":[130202,126612,127330],"interval_residues":[244,244,244],"display_cycle":[244,244,244],"intervals":[{"from_index":206,"to_index":564,"sum":130202,"residue":244},{"from_index":564,"to_index":922,"sum":126612,"residue":244},{"from_index":922,"to_index":206,"sum":127330,"residue":244}],"minimal_cycle":[244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[206,564],"circle_positions":718,"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":[207,565,923],"clock_positions":[207,565,923],"native_values":[336,695,695],"rotation_degrees":69.3854748603352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,695,695],"beta":{"interval_sums":[130340,126032,126750],"interval_residues":[382,382,382],"display_cycle":[382,382,382],"intervals":[{"from_index":207,"to_index":565,"sum":130340,"residue":382},{"from_index":565,"to_index":923,"sum":126032,"residue":382},{"from_index":923,"to_index":207,"sum":126750,"residue":382}],"minimal_cycle":[382],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[207,565],"circle_positions":718,"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":[208,566,924],"clock_positions":[208,566,924],"native_values":[451,451,92],"rotation_degrees":69.72067039106145,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,451,92],"beta":{"interval_sums":[130584,126276,126994],"interval_residues":[626,626,626],"display_cycle":[626,626,626],"intervals":[{"from_index":208,"to_index":566,"sum":130584,"residue":626},{"from_index":566,"to_index":924,"sum":126276,"residue":626},{"from_index":924,"to_index":208,"sum":126994,"residue":626}],"minimal_cycle":[626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[208,566],"circle_positions":718,"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":[209,567,925],"clock_positions":[209,567,925],"native_values":[69,428,69],"rotation_degrees":70.05586592178771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,428,69],"beta":{"interval_sums":[130966,125940,127376],"interval_residues":[290,290,290],"display_cycle":[290,290,290],"intervals":[{"from_index":209,"to_index":567,"sum":130966,"residue":290},{"from_index":567,"to_index":925,"sum":125940,"residue":290},{"from_index":925,"to_index":209,"sum":127376,"residue":290}],"minimal_cycle":[290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[209,567],"circle_positions":718,"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":[210,568,926],"clock_positions":[210,568,926],"native_values":[520,161,161],"rotation_degrees":70.39106145251397,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[520,161,161],"beta":{"interval_sums":[130874,125848,127284],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":210,"to_index":568,"sum":130874,"residue":198},{"from_index":568,"to_index":926,"sum":125848,"residue":198},{"from_index":926,"to_index":210,"sum":127284,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[210,568],"circle_positions":718,"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":[211,569,927],"clock_positions":[211,569,927],"native_values":[589,589,230],"rotation_degrees":70.72625698324022,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,589,230],"beta":{"interval_sums":[130446,125420,127574],"interval_residues":[488,488,488],"display_cycle":[488,488,488],"intervals":[{"from_index":211,"to_index":569,"sum":130446,"residue":488},{"from_index":569,"to_index":927,"sum":125420,"residue":488},{"from_index":927,"to_index":211,"sum":127574,"residue":488}],"minimal_cycle":[488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[211,569],"circle_positions":718,"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":[212,570,928],"clock_positions":[212,570,928],"native_values":[391,32,391],"rotation_degrees":71.06145251396649,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,32,391],"beta":{"interval_sums":[130644,125618,127772],"interval_residues":[686,686,686],"display_cycle":[686,686,686],"intervals":[{"from_index":212,"to_index":570,"sum":130644,"residue":686},{"from_index":570,"to_index":928,"sum":125618,"residue":686},{"from_index":928,"to_index":212,"sum":127772,"residue":686}],"minimal_cycle":[686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[212,570],"circle_positions":718,"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":[213,571,929],"clock_positions":[213,571,929],"native_values":[262,621,621],"rotation_degrees":71.39664804469274,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[262,621,621],"beta":{"interval_sums":[130414,125388,127542],"interval_residues":[456,456,456],"display_cycle":[456,456,456],"intervals":[{"from_index":213,"to_index":571,"sum":130414,"residue":456},{"from_index":571,"to_index":929,"sum":125388,"residue":456},{"from_index":929,"to_index":213,"sum":127542,"residue":456}],"minimal_cycle":[456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[213,571],"circle_positions":718,"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":[214,572,930],"clock_positions":[214,572,930],"native_values":[653,653,294],"rotation_degrees":71.73184357541899,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,653,294],"beta":{"interval_sums":[130382,125356,127510],"interval_residues":[424,424,424],"display_cycle":[424,424,424],"intervals":[{"from_index":214,"to_index":572,"sum":130382,"residue":424},{"from_index":572,"to_index":930,"sum":125356,"residue":424},{"from_index":930,"to_index":214,"sum":127510,"residue":424}],"minimal_cycle":[424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[214,572],"circle_positions":718,"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":[215,573,931],"clock_positions":[215,573,931],"native_values":[197,556,197],"rotation_degrees":72.06703910614524,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,556,197],"beta":{"interval_sums":[130838,125094,127966],"interval_residues":[162,162,162],"display_cycle":[162,162,162],"intervals":[{"from_index":215,"to_index":573,"sum":130838,"residue":162},{"from_index":573,"to_index":931,"sum":125094,"residue":162},{"from_index":931,"to_index":215,"sum":127966,"residue":162}],"minimal_cycle":[162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[215,573],"circle_positions":718,"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":[216,574,932],"clock_positions":[216,574,932],"native_values":[132,491,491],"rotation_degrees":72.40223463687151,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[132,491,491],"beta":{"interval_sums":[131262,124800,127672],"interval_residues":[586,586,586],"display_cycle":[586,586,586],"intervals":[{"from_index":216,"to_index":574,"sum":131262,"residue":586},{"from_index":574,"to_index":932,"sum":124800,"residue":586},{"from_index":932,"to_index":216,"sum":127672,"residue":586}],"minimal_cycle":[586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[216,574],"circle_positions":718,"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":[217,575,933],"clock_positions":[217,575,933],"native_values":[329,329,688],"rotation_degrees":72.73743016759776,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,329,688],"beta":{"interval_sums":[131424,124962,127116],"interval_residues":[30,30,30],"display_cycle":[30,30,30],"intervals":[{"from_index":217,"to_index":575,"sum":131424,"residue":30},{"from_index":575,"to_index":933,"sum":124962,"residue":30},{"from_index":933,"to_index":217,"sum":127116,"residue":30}],"minimal_cycle":[30],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[217,575],"circle_positions":718,"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":[218,576,934],"clock_positions":[218,576,934],"native_values":[461,102,461],"rotation_degrees":73.07262569832402,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,102,461],"beta":{"interval_sums":[131292,125548,126984],"interval_residues":[616,616,616],"display_cycle":[616,616,616],"intervals":[{"from_index":218,"to_index":576,"sum":131292,"residue":616},{"from_index":576,"to_index":934,"sum":125548,"residue":616},{"from_index":934,"to_index":218,"sum":126984,"residue":616}],"minimal_cycle":[616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[218,576],"circle_positions":718,"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":[219,577,935],"clock_positions":[219,577,935],"native_values":[72,431,431],"rotation_degrees":73.40782122905028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,431,431],"beta":{"interval_sums":[131322,125578,127014],"interval_residues":[646,646,646],"display_cycle":[646,646,646],"intervals":[{"from_index":219,"to_index":577,"sum":131322,"residue":646},{"from_index":577,"to_index":935,"sum":125578,"residue":646},{"from_index":935,"to_index":219,"sum":127014,"residue":646}],"minimal_cycle":[646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[219,577],"circle_positions":718,"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":[220,578,936],"clock_positions":[220,578,936],"native_values":[533,533,174],"rotation_degrees":73.74301675977654,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,533,174],"beta":{"interval_sums":[131220,125476,126912],"interval_residues":[544,544,544],"display_cycle":[544,544,544],"intervals":[{"from_index":220,"to_index":578,"sum":131220,"residue":544},{"from_index":578,"to_index":936,"sum":125476,"residue":544},{"from_index":936,"to_index":220,"sum":126912,"residue":544}],"minimal_cycle":[544],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":544,"start_interval_clock_positions":[220,578],"circle_positions":718,"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":[221,579,937],"clock_positions":[221,579,937],"native_values":[605,246,605],"rotation_degrees":74.07821229050279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,246,605],"beta":{"interval_sums":[131148,125404,126840],"interval_residues":[472,472,472],"display_cycle":[472,472,472],"intervals":[{"from_index":221,"to_index":579,"sum":131148,"residue":472},{"from_index":579,"to_index":937,"sum":125404,"residue":472},{"from_index":937,"to_index":221,"sum":126840,"residue":472}],"minimal_cycle":[472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[221,579],"circle_positions":718,"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":[222,580,938],"clock_positions":[222,580,938],"native_values":[420,61,61],"rotation_degrees":74.41340782122904,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[420,61,61],"beta":{"interval_sums":[130974,125948,127384],"interval_residues":[298,298,298],"display_cycle":[298,298,298],"intervals":[{"from_index":222,"to_index":580,"sum":130974,"residue":298},{"from_index":580,"to_index":938,"sum":125948,"residue":298},{"from_index":938,"to_index":222,"sum":127384,"residue":298}],"minimal_cycle":[298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[222,580],"circle_positions":718,"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":[223,581,939],"clock_positions":[223,581,939],"native_values":[307,307,666],"rotation_degrees":74.74860335195531,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,307,666],"beta":{"interval_sums":[130728,125702,127138],"interval_residues":[52,52,52],"display_cycle":[52,52,52],"intervals":[{"from_index":223,"to_index":581,"sum":130728,"residue":52},{"from_index":581,"to_index":939,"sum":125702,"residue":52},{"from_index":939,"to_index":223,"sum":127138,"residue":52}],"minimal_cycle":[52],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[223,581],"circle_positions":718,"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":[224,582,940],"clock_positions":[224,582,940],"native_values":[9,368,9],"rotation_degrees":75.08379888268156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,368,9],"beta":{"interval_sums":[131026,126000,127436],"interval_residues":[350,350,350],"display_cycle":[350,350,350],"intervals":[{"from_index":224,"to_index":582,"sum":131026,"residue":350},{"from_index":582,"to_index":940,"sum":126000,"residue":350},{"from_index":940,"to_index":224,"sum":127436,"residue":350}],"minimal_cycle":[350],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[224,582],"circle_positions":718,"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":[225,583,941],"clock_positions":[225,583,941],"native_values":[316,675,675],"rotation_degrees":75.41899441340782,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[316,675,675],"beta":{"interval_sums":[131078,125334,126770],"interval_residues":[402,402,402],"display_cycle":[402,402,402],"intervals":[{"from_index":225,"to_index":583,"sum":131078,"residue":402},{"from_index":583,"to_index":941,"sum":125334,"residue":402},{"from_index":941,"to_index":225,"sum":126770,"residue":402}],"minimal_cycle":[402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[225,583],"circle_positions":718,"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":[226,584,942],"clock_positions":[226,584,942],"native_values":[325,325,684],"rotation_degrees":75.75418994413408,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[325,325,684],"beta":{"interval_sums":[131428,125684,126402],"interval_residues":[34,34,34],"display_cycle":[34,34,34],"intervals":[{"from_index":226,"to_index":584,"sum":131428,"residue":34},{"from_index":584,"to_index":942,"sum":125684,"residue":34},{"from_index":942,"to_index":226,"sum":126402,"residue":34}],"minimal_cycle":[34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[226,584],"circle_positions":718,"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":[227,585,943],"clock_positions":[227,585,943],"native_values":[641,282,641],"rotation_degrees":76.08938547486034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,282,641],"beta":{"interval_sums":[131112,126086,126086],"interval_residues":[436,436,436],"display_cycle":[436,436,436],"intervals":[{"from_index":227,"to_index":585,"sum":131112,"residue":436},{"from_index":585,"to_index":943,"sum":126086,"residue":436},{"from_index":943,"to_index":227,"sum":126086,"residue":436}],"minimal_cycle":[436],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[227,585],"circle_positions":718,"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":[228,586,944],"clock_positions":[228,586,944],"native_values":[248,607,607],"rotation_degrees":76.42458100558659,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,607,607],"beta":{"interval_sums":[131146,126120,126120],"interval_residues":[470,470,470],"display_cycle":[470,470,470],"intervals":[{"from_index":228,"to_index":586,"sum":131146,"residue":470},{"from_index":586,"to_index":944,"sum":126120,"residue":470},{"from_index":944,"to_index":228,"sum":126120,"residue":470}],"minimal_cycle":[470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[228,586],"circle_positions":718,"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":[229,587,945],"clock_positions":[229,587,945],"native_values":[171,171,530],"rotation_degrees":76.75977653631286,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[171,171,530],"beta":{"interval_sums":[131582,126556,125838],"interval_residues":[188,188,188],"display_cycle":[188,188,188],"intervals":[{"from_index":229,"to_index":587,"sum":131582,"residue":188},{"from_index":587,"to_index":945,"sum":126556,"residue":188},{"from_index":945,"to_index":229,"sum":125838,"residue":188}],"minimal_cycle":[188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[229,587],"circle_positions":718,"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":[230,588,946],"clock_positions":[230,588,946],"native_values":[419,60,419],"rotation_degrees":77.09497206703911,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,60,419],"beta":{"interval_sums":[131334,127026,125590],"interval_residues":[658,658,658],"display_cycle":[658,658,658],"intervals":[{"from_index":230,"to_index":588,"sum":131334,"residue":658},{"from_index":588,"to_index":946,"sum":127026,"residue":658},{"from_index":946,"to_index":230,"sum":125590,"residue":658}],"minimal_cycle":[658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[230,588],"circle_positions":718,"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":[231,589,947],"clock_positions":[231,589,947],"native_values":[590,231,231],"rotation_degrees":77.43016759776536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,231,231],"beta":{"interval_sums":[130804,127214,125778],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":231,"to_index":589,"sum":130804,"residue":128},{"from_index":589,"to_index":947,"sum":127214,"residue":128},{"from_index":947,"to_index":231,"sum":125778,"residue":128}],"minimal_cycle":[128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[231,589],"circle_positions":718,"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":[232,590,948],"clock_positions":[232,590,948],"native_values":[291,291,650],"rotation_degrees":77.76536312849161,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[291,291,650],"beta":{"interval_sums":[130744,127154,125718],"interval_residues":[68,68,68],"display_cycle":[68,68,68],"intervals":[{"from_index":232,"to_index":590,"sum":130744,"residue":68},{"from_index":590,"to_index":948,"sum":127154,"residue":68},{"from_index":948,"to_index":232,"sum":125718,"residue":68}],"minimal_cycle":[68],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":68,"start_interval_clock_positions":[232,590],"circle_positions":718,"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":[233,591,949],"clock_positions":[233,591,949],"native_values":[163,522,163],"rotation_degrees":78.10055865921788,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,522,163],"beta":{"interval_sums":[130872,127282,125846],"interval_residues":[196,196,196],"display_cycle":[196,196,196],"intervals":[{"from_index":233,"to_index":591,"sum":130872,"residue":196},{"from_index":591,"to_index":949,"sum":127282,"residue":196},{"from_index":949,"to_index":233,"sum":125846,"residue":196}],"minimal_cycle":[196],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":196,"start_interval_clock_positions":[233,591],"circle_positions":718,"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":[234,592,950],"clock_positions":[234,592,950],"native_values":[454,95,95],"rotation_degrees":78.43575418994413,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[454,95,95],"beta":{"interval_sums":[130940,127350,125914],"interval_residues":[264,264,264],"display_cycle":[264,264,264],"intervals":[{"from_index":234,"to_index":592,"sum":130940,"residue":264},{"from_index":592,"to_index":950,"sum":127350,"residue":264},{"from_index":950,"to_index":234,"sum":125914,"residue":264}],"minimal_cycle":[264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[234,592],"circle_positions":718,"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":[235,593,951],"clock_positions":[235,593,951],"native_values":[617,617,258],"rotation_degrees":78.77094972067039,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[617,617,258],"beta":{"interval_sums":[130418,126828,126110],"interval_residues":[460,460,460],"display_cycle":[460,460,460],"intervals":[{"from_index":235,"to_index":593,"sum":130418,"residue":460},{"from_index":593,"to_index":951,"sum":126828,"residue":460},{"from_index":951,"to_index":235,"sum":126110,"residue":460}],"minimal_cycle":[460],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":460,"start_interval_clock_positions":[235,593],"circle_positions":718,"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":[236,594,952],"clock_positions":[236,594,952],"native_values":[353,712,353],"rotation_degrees":79.10614525139665,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,712,353],"beta":{"interval_sums":[130682,126374,126374],"interval_residues":[6,6,6],"display_cycle":[6,6,6],"intervals":[{"from_index":236,"to_index":594,"sum":130682,"residue":6},{"from_index":594,"to_index":952,"sum":126374,"residue":6},{"from_index":952,"to_index":236,"sum":126374,"residue":6}],"minimal_cycle":[6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[236,594],"circle_positions":718,"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":[237,595,953],"clock_positions":[237,595,953],"native_values":[252,611,611],"rotation_degrees":79.44134078212291,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[252,611,611],"beta":{"interval_sums":[131142,126116,126116],"interval_residues":[466,466,466],"display_cycle":[466,466,466],"intervals":[{"from_index":237,"to_index":595,"sum":131142,"residue":466},{"from_index":595,"to_index":953,"sum":126116,"residue":466},{"from_index":953,"to_index":237,"sum":126116,"residue":466}],"minimal_cycle":[466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[237,595],"circle_positions":718,"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":[238,596,954],"clock_positions":[238,596,954],"native_values":[605,605,246],"rotation_degrees":79.77653631284916,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,605,246],"beta":{"interval_sums":[131148,126122,126122],"interval_residues":[472,472,472],"display_cycle":[472,472,472],"intervals":[{"from_index":238,"to_index":596,"sum":131148,"residue":472},{"from_index":596,"to_index":954,"sum":126122,"residue":472},{"from_index":954,"to_index":238,"sum":126122,"residue":472}],"minimal_cycle":[472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[238,596],"circle_positions":718,"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":[239,597,955],"clock_positions":[239,597,955],"native_values":[139,498,139],"rotation_degrees":80.11173184357541,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,498,139],"beta":{"interval_sums":[131614,125870,126588],"interval_residues":[220,220,220],"display_cycle":[220,220,220],"intervals":[{"from_index":239,"to_index":597,"sum":131614,"residue":220},{"from_index":597,"to_index":955,"sum":125870,"residue":220},{"from_index":955,"to_index":239,"sum":126588,"residue":220}],"minimal_cycle":[220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[239,597],"circle_positions":718,"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":[240,598,956],"clock_positions":[240,598,956],"native_values":[26,385,385],"rotation_degrees":80.44692737430168,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[26,385,385],"beta":{"interval_sums":[132086,125624,126342],"interval_residues":[692,692,692],"display_cycle":[692,692,692],"intervals":[{"from_index":240,"to_index":598,"sum":132086,"residue":692},{"from_index":598,"to_index":956,"sum":125624,"residue":692},{"from_index":956,"to_index":240,"sum":126342,"residue":692}],"minimal_cycle":[692],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[240,598],"circle_positions":718,"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":[241,599,957],"clock_positions":[241,599,957],"native_values":[165,165,524],"rotation_degrees":80.78212290502793,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,165,524],"beta":{"interval_sums":[132306,125844,125844],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":241,"to_index":599,"sum":132306,"residue":194},{"from_index":599,"to_index":957,"sum":125844,"residue":194},{"from_index":957,"to_index":241,"sum":125844,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[241,599],"circle_positions":718,"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":[242,600,958],"clock_positions":[242,600,958],"native_values":[191,550,191],"rotation_degrees":81.11731843575419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,550,191],"beta":{"interval_sums":[132280,125818,125818],"interval_residues":[168,168,168],"display_cycle":[168,168,168],"intervals":[{"from_index":242,"to_index":600,"sum":132280,"residue":168},{"from_index":600,"to_index":958,"sum":125818,"residue":168},{"from_index":958,"to_index":242,"sum":125818,"residue":168}],"minimal_cycle":[168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[242,600],"circle_positions":718,"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":[243,601,959],"clock_positions":[243,601,959],"native_values":[356,715,715],"rotation_degrees":81.45251396648045,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,715,715],"beta":{"interval_sums":[132474,125294,125294],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":243,"to_index":601,"sum":132474,"residue":362},{"from_index":601,"to_index":959,"sum":125294,"residue":362},{"from_index":959,"to_index":243,"sum":125294,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[243,601],"circle_positions":718,"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":[244,602,960],"clock_positions":[244,602,960],"native_values":[547,547,188],"rotation_degrees":81.7877094972067,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,547,188],"beta":{"interval_sums":[132642,125462,125462],"interval_residues":[530,530,530],"display_cycle":[530,530,530],"intervals":[{"from_index":244,"to_index":602,"sum":132642,"residue":530},{"from_index":602,"to_index":960,"sum":125462,"residue":530},{"from_index":960,"to_index":244,"sum":125462,"residue":530}],"minimal_cycle":[530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[244,602],"circle_positions":718,"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":[245,603,961],"clock_positions":[245,603,961],"native_values":[185,544,185],"rotation_degrees":82.12290502793296,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,544,185],"beta":{"interval_sums":[133004,125106,125824],"interval_residues":[174,174,174],"display_cycle":[174,174,174],"intervals":[{"from_index":245,"to_index":603,"sum":133004,"residue":174},{"from_index":603,"to_index":961,"sum":125106,"residue":174},{"from_index":961,"to_index":245,"sum":125824,"residue":174}],"minimal_cycle":[174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":174,"start_interval_clock_positions":[245,603],"circle_positions":718,"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":[246,604,962],"clock_positions":[246,604,962],"native_values":[14,373,373],"rotation_degrees":82.45810055865921,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[14,373,373],"beta":{"interval_sums":[133534,124918,125636],"interval_residues":[704,704,704],"display_cycle":[704,704,704],"intervals":[{"from_index":246,"to_index":604,"sum":133534,"residue":704},{"from_index":604,"to_index":962,"sum":124918,"residue":704},{"from_index":962,"to_index":246,"sum":125636,"residue":704}],"minimal_cycle":[704],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":704,"start_interval_clock_positions":[246,604],"circle_positions":718,"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":[247,605,963],"clock_positions":[247,605,963],"native_values":[199,199,558],"rotation_degrees":82.79329608938548,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[199,199,558],"beta":{"interval_sums":[133708,125092,125092],"interval_residues":[160,160,160],"display_cycle":[160,160,160],"intervals":[{"from_index":247,"to_index":605,"sum":133708,"residue":160},{"from_index":605,"to_index":963,"sum":125092,"residue":160},{"from_index":963,"to_index":247,"sum":125092,"residue":160}],"minimal_cycle":[160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[247,605],"circle_positions":718,"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":[248,606,964],"clock_positions":[248,606,964],"native_values":[213,572,213],"rotation_degrees":83.12849162011173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,572,213],"beta":{"interval_sums":[133694,125078,125078],"interval_residues":[146,146,146],"display_cycle":[146,146,146],"intervals":[{"from_index":248,"to_index":606,"sum":133694,"residue":146},{"from_index":606,"to_index":964,"sum":125078,"residue":146},{"from_index":964,"to_index":248,"sum":125078,"residue":146}],"minimal_cycle":[146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[248,606],"circle_positions":718,"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":[249,607,965],"clock_positions":[249,607,965],"native_values":[412,53,53],"rotation_degrees":83.46368715083798,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[412,53,53],"beta":{"interval_sums":[133854,125238,125238],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":249,"to_index":607,"sum":133854,"residue":306},{"from_index":607,"to_index":965,"sum":125238,"residue":306},{"from_index":965,"to_index":249,"sum":125238,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[249,607],"circle_positions":718,"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":[250,608,966],"clock_positions":[250,608,966],"native_values":[625,625,266],"rotation_degrees":83.79888268156425,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,625,266],"beta":{"interval_sums":[133282,124666,125384],"interval_residues":[452,452,452],"display_cycle":[452,452,452],"intervals":[{"from_index":250,"to_index":608,"sum":133282,"residue":452},{"from_index":608,"to_index":966,"sum":124666,"residue":452},{"from_index":966,"to_index":250,"sum":125384,"residue":452}],"minimal_cycle":[452],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":452,"start_interval_clock_positions":[250,608],"circle_positions":718,"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":[251,609,967],"clock_positions":[251,609,967],"native_values":[319,678,319],"rotation_degrees":84.1340782122905,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,678,319],"beta":{"interval_sums":[133588,124254,125690],"interval_residues":[40,40,40],"display_cycle":[40,40,40],"intervals":[{"from_index":251,"to_index":609,"sum":133588,"residue":40},{"from_index":609,"to_index":967,"sum":124254,"residue":40},{"from_index":967,"to_index":251,"sum":125690,"residue":40}],"minimal_cycle":[40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[251,609],"circle_positions":718,"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":[252,610,968],"clock_positions":[252,610,968],"native_values":[226,585,585],"rotation_degrees":84.46927374301676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,585,585],"beta":{"interval_sums":[134040,123988,125424],"interval_residues":[492,492,492],"display_cycle":[492,492,492],"intervals":[{"from_index":252,"to_index":610,"sum":134040,"residue":492},{"from_index":610,"to_index":968,"sum":123988,"residue":492},{"from_index":968,"to_index":252,"sum":125424,"residue":492}],"minimal_cycle":[492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":492,"start_interval_clock_positions":[252,610],"circle_positions":718,"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":[253,611,969],"clock_positions":[253,611,969],"native_values":[545,545,186],"rotation_degrees":84.80446927374301,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,545,186],"beta":{"interval_sums":[134080,124028,125464],"interval_residues":[532,532,532],"display_cycle":[532,532,532],"intervals":[{"from_index":253,"to_index":611,"sum":134080,"residue":532},{"from_index":611,"to_index":969,"sum":124028,"residue":532},{"from_index":969,"to_index":253,"sum":125464,"residue":532}],"minimal_cycle":[532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":532,"start_interval_clock_positions":[253,611],"circle_positions":718,"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":[254,612,970],"clock_positions":[254,612,970],"native_values":[53,412,53],"rotation_degrees":85.13966480446928,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,412,53],"beta":{"interval_sums":[134572,123802,125956],"interval_residues":[306,306,306],"display_cycle":[306,306,306],"intervals":[{"from_index":254,"to_index":612,"sum":134572,"residue":306},{"from_index":612,"to_index":970,"sum":123802,"residue":306},{"from_index":970,"to_index":254,"sum":125956,"residue":306}],"minimal_cycle":[306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[254,612],"circle_positions":718,"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":[255,613,971],"clock_positions":[255,613,971],"native_values":[598,239,239],"rotation_degrees":85.47486033519553,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,239,239],"beta":{"interval_sums":[134386,123616,125770],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":255,"to_index":613,"sum":134386,"residue":120},{"from_index":613,"to_index":971,"sum":123616,"residue":120},{"from_index":971,"to_index":255,"sum":125770,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[255,613],"circle_positions":718,"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":[256,614,972],"clock_positions":[256,614,972],"native_values":[651,651,292],"rotation_degrees":85.81005586592178,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[651,651,292],"beta":{"interval_sums":[133974,123204,126076],"interval_residues":[426,426,426],"display_cycle":[426,426,426],"intervals":[{"from_index":256,"to_index":614,"sum":133974,"residue":426},{"from_index":614,"to_index":972,"sum":123204,"residue":426},{"from_index":972,"to_index":256,"sum":126076,"residue":426}],"minimal_cycle":[426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[256,614],"circle_positions":718,"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":[257,615,973],"clock_positions":[257,615,973],"native_values":[531,172,531],"rotation_degrees":86.14525139664805,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,172,531],"beta":{"interval_sums":[134094,123324,126196],"interval_residues":[546,546,546],"display_cycle":[546,546,546],"intervals":[{"from_index":257,"to_index":615,"sum":134094,"residue":546},{"from_index":615,"to_index":973,"sum":123324,"residue":546},{"from_index":973,"to_index":257,"sum":126196,"residue":546}],"minimal_cycle":[546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[257,615],"circle_positions":718,"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":[258,616,974],"clock_positions":[258,616,974],"native_values":[464,105,105],"rotation_degrees":86.4804469273743,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,105,105],"beta":{"interval_sums":[133802,123750,126622],"interval_residues":[254,254,254],"display_cycle":[254,254,254],"intervals":[{"from_index":258,"to_index":616,"sum":133802,"residue":254},{"from_index":616,"to_index":974,"sum":123750,"residue":254},{"from_index":974,"to_index":258,"sum":126622,"residue":254}],"minimal_cycle":[254],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[258,616],"circle_positions":718,"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":[259,617,975],"clock_positions":[259,617,975],"native_values":[277,277,636],"rotation_degrees":86.81564245810056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,277,636],"beta":{"interval_sums":[133630,123578,126450],"interval_residues":[82,82,82],"display_cycle":[82,82,82],"intervals":[{"from_index":259,"to_index":617,"sum":133630,"residue":82},{"from_index":617,"to_index":975,"sum":123578,"residue":82},{"from_index":975,"to_index":259,"sum":126450,"residue":82}],"minimal_cycle":[82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[259,617],"circle_positions":718,"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":[260,618,976],"clock_positions":[260,618,976],"native_values":[23,382,23],"rotation_degrees":87.15083798882682,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[23,382,23],"beta":{"interval_sums":[133884,123832,126704],"interval_residues":[336,336,336],"display_cycle":[336,336,336],"intervals":[{"from_index":260,"to_index":618,"sum":133884,"residue":336},{"from_index":618,"to_index":976,"sum":123832,"residue":336},{"from_index":976,"to_index":260,"sum":126704,"residue":336}],"minimal_cycle":[336],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[260,618],"circle_positions":718,"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":[261,619,977],"clock_positions":[261,619,977],"native_values":[300,659,659],"rotation_degrees":87.48603351955308,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[300,659,659],"beta":{"interval_sums":[133966,123196,126068],"interval_residues":[418,418,418],"display_cycle":[418,418,418],"intervals":[{"from_index":261,"to_index":619,"sum":133966,"residue":418},{"from_index":619,"to_index":977,"sum":123196,"residue":418},{"from_index":977,"to_index":261,"sum":126068,"residue":418}],"minimal_cycle":[418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[261,619],"circle_positions":718,"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":[262,620,978],"clock_positions":[262,620,978],"native_values":[323,323,682],"rotation_degrees":87.82122905027933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[323,323,682],"beta":{"interval_sums":[134302,123532,125686],"interval_residues":[36,36,36],"display_cycle":[36,36,36],"intervals":[{"from_index":262,"to_index":620,"sum":134302,"residue":36},{"from_index":620,"to_index":978,"sum":123532,"residue":36},{"from_index":978,"to_index":262,"sum":125686,"residue":36}],"minimal_cycle":[36],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[262,620],"circle_positions":718,"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":[263,621,979],"clock_positions":[263,621,979],"native_values":[623,264,623],"rotation_degrees":88.15642458100558,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,264,623],"beta":{"interval_sums":[134002,123950,125386],"interval_residues":[454,454,454],"display_cycle":[454,454,454],"intervals":[{"from_index":263,"to_index":621,"sum":134002,"residue":454},{"from_index":621,"to_index":979,"sum":123950,"residue":454},{"from_index":979,"to_index":263,"sum":125386,"residue":454}],"minimal_cycle":[454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[263,621],"circle_positions":718,"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":[264,622,980],"clock_positions":[264,622,980],"native_values":[228,587,587],"rotation_degrees":88.49162011173185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[228,587,587],"beta":{"interval_sums":[134038,123986,125422],"interval_residues":[490,490,490],"display_cycle":[490,490,490],"intervals":[{"from_index":264,"to_index":622,"sum":134038,"residue":490},{"from_index":622,"to_index":980,"sum":123986,"residue":490},{"from_index":980,"to_index":264,"sum":125422,"residue":490}],"minimal_cycle":[490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[264,622],"circle_positions":718,"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":[265,623,981],"clock_positions":[265,623,981],"native_values":[133,133,492],"rotation_degrees":88.8268156424581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,133,492],"beta":{"interval_sums":[134492,124440,125158],"interval_residues":[226,226,226],"display_cycle":[226,226,226],"intervals":[{"from_index":265,"to_index":623,"sum":134492,"residue":226},{"from_index":623,"to_index":981,"sum":124440,"residue":226},{"from_index":981,"to_index":265,"sum":125158,"residue":226}],"minimal_cycle":[226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[265,623],"circle_positions":718,"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":[266,624,982],"clock_positions":[266,624,982],"native_values":[361,2,361],"rotation_degrees":89.16201117318435,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,2,361],"beta":{"interval_sums":[134264,124930,124930],"interval_residues":[716,716,716],"display_cycle":[716,716,716],"intervals":[{"from_index":266,"to_index":624,"sum":134264,"residue":716},{"from_index":624,"to_index":982,"sum":124930,"residue":716},{"from_index":982,"to_index":266,"sum":124930,"residue":716}],"minimal_cycle":[716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[266,624],"circle_positions":718,"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":[267,625,983],"clock_positions":[267,625,983],"native_values":[494,135,135],"rotation_degrees":89.49720670391062,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,135,135],"beta":{"interval_sums":[133772,125156,125156],"interval_residues":[224,224,224],"display_cycle":[224,224,224],"intervals":[{"from_index":267,"to_index":625,"sum":133772,"residue":224},{"from_index":625,"to_index":983,"sum":125156,"residue":224},{"from_index":983,"to_index":267,"sum":125156,"residue":224}],"minimal_cycle":[224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":224,"start_interval_clock_positions":[267,625],"circle_positions":718,"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":[268,626,984],"clock_positions":[268,626,984],"native_values":[137,137,496],"rotation_degrees":89.83240223463687,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,137,496],"beta":{"interval_sums":[133770,125154,125154],"interval_residues":[222,222,222],"display_cycle":[222,222,222],"intervals":[{"from_index":268,"to_index":626,"sum":133770,"residue":222},{"from_index":626,"to_index":984,"sum":125154,"residue":222},{"from_index":984,"to_index":268,"sum":125154,"residue":222}],"minimal_cycle":[222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[268,626],"circle_positions":718,"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":[269,627,985],"clock_positions":[269,627,985],"native_values":[631,272,631],"rotation_degrees":90.16759776536313,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,272,631],"beta":{"interval_sums":[133276,125378,124660],"interval_residues":[446,446,446],"display_cycle":[446,446,446],"intervals":[{"from_index":269,"to_index":627,"sum":133276,"residue":446},{"from_index":627,"to_index":985,"sum":125378,"residue":446},{"from_index":985,"to_index":269,"sum":124660,"residue":446}],"minimal_cycle":[446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[269,627],"circle_positions":718,"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":[270,628,986],"clock_positions":[270,628,986],"native_values":[50,409,409],"rotation_degrees":90.50279329608938,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[50,409,409],"beta":{"interval_sums":[133498,125600,124882],"interval_residues":[668,668,668],"display_cycle":[668,668,668],"intervals":[{"from_index":270,"to_index":628,"sum":133498,"residue":668},{"from_index":628,"to_index":986,"sum":125600,"residue":668},{"from_index":986,"to_index":270,"sum":124882,"residue":668}],"minimal_cycle":[668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":668,"start_interval_clock_positions":[270,628],"circle_positions":718,"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":[271,629,987],"clock_positions":[271,629,987],"native_values":[681,681,322],"rotation_degrees":90.83798882681565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[681,681,322],"beta":{"interval_sums":[133226,125328,124610],"interval_residues":[396,396,396],"display_cycle":[396,396,396],"intervals":[{"from_index":271,"to_index":629,"sum":133226,"residue":396},{"from_index":629,"to_index":987,"sum":125328,"residue":396},{"from_index":987,"to_index":271,"sum":124610,"residue":396}],"minimal_cycle":[396],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[271,629],"circle_positions":718,"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":[272,630,988],"clock_positions":[272,630,988],"native_values":[13,372,13],"rotation_degrees":91.1731843575419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,372,13],"beta":{"interval_sums":[133894,125278,125278],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":272,"to_index":630,"sum":133894,"residue":346},{"from_index":630,"to_index":988,"sum":125278,"residue":346},{"from_index":988,"to_index":272,"sum":125278,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[272,630],"circle_positions":718,"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":[273,631,989],"clock_positions":[273,631,989],"native_values":[694,335,335],"rotation_degrees":91.50837988826815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,335,335],"beta":{"interval_sums":[133572,124956,124956],"interval_residues":[24,24,24],"display_cycle":[24,24,24],"intervals":[{"from_index":273,"to_index":631,"sum":133572,"residue":24},{"from_index":631,"to_index":989,"sum":124956,"residue":24},{"from_index":989,"to_index":273,"sum":124956,"residue":24}],"minimal_cycle":[24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[273,631],"circle_positions":718,"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":[274,632,990],"clock_positions":[274,632,990],"native_values":[707,707,348],"rotation_degrees":91.84357541899442,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,707,348],"beta":{"interval_sums":[133200,124584,125302],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":274,"to_index":632,"sum":133200,"residue":370},{"from_index":632,"to_index":990,"sum":124584,"residue":370},{"from_index":990,"to_index":274,"sum":125302,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[274,632],"circle_positions":718,"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":[275,633,991],"clock_positions":[275,633,991],"native_values":[683,324,683],"rotation_degrees":92.17877094972067,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,324,683],"beta":{"interval_sums":[133224,124608,125326],"interval_residues":[394,394,394],"display_cycle":[394,394,394],"intervals":[{"from_index":275,"to_index":633,"sum":133224,"residue":394},{"from_index":633,"to_index":991,"sum":124608,"residue":394},{"from_index":991,"to_index":275,"sum":125326,"residue":394}],"minimal_cycle":[394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[275,633],"circle_positions":718,"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":[276,634,992],"clock_positions":[276,634,992],"native_values":[672,313,313],"rotation_degrees":92.51396648044692,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,313,313],"beta":{"interval_sums":[132876,124978,125696],"interval_residues":[46,46,46],"display_cycle":[46,46,46],"intervals":[{"from_index":276,"to_index":634,"sum":132876,"residue":46},{"from_index":634,"to_index":992,"sum":124978,"residue":46},{"from_index":992,"to_index":276,"sum":125696,"residue":46}],"minimal_cycle":[46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[276,634],"circle_positions":718,"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":[277,635,993],"clock_positions":[277,635,993],"native_values":[637,637,278],"rotation_degrees":92.84916201117318,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,637,278],"beta":{"interval_sums":[132552,124654,126090],"interval_residues":[440,440,440],"display_cycle":[440,440,440],"intervals":[{"from_index":277,"to_index":635,"sum":132552,"residue":440},{"from_index":635,"to_index":993,"sum":124654,"residue":440},{"from_index":993,"to_index":277,"sum":126090,"residue":440}],"minimal_cycle":[440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[277,635],"circle_positions":718,"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":[278,636,994],"clock_positions":[278,636,994],"native_values":[591,232,591],"rotation_degrees":93.18435754189944,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,232,591],"beta":{"interval_sums":[132598,124700,126136],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":278,"to_index":636,"sum":132598,"residue":486},{"from_index":636,"to_index":994,"sum":124700,"residue":486},{"from_index":994,"to_index":278,"sum":126136,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[278,636],"circle_positions":718,"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":[279,637,995],"clock_positions":[279,637,995],"native_values":[510,151,151],"rotation_degrees":93.5195530726257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[510,151,151],"beta":{"interval_sums":[132320,125140,126576],"interval_residues":[208,208,208],"display_cycle":[208,208,208],"intervals":[{"from_index":279,"to_index":637,"sum":132320,"residue":208},{"from_index":637,"to_index":995,"sum":125140,"residue":208},{"from_index":995,"to_index":279,"sum":126576,"residue":208}],"minimal_cycle":[208],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[279,637],"circle_positions":718,"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":[280,638,996],"clock_positions":[280,638,996],"native_values":[383,383,24],"rotation_degrees":93.85474860335195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[383,383,24],"beta":{"interval_sums":[132088,124908,127062],"interval_residues":[694,694,694],"display_cycle":[694,694,694],"intervals":[{"from_index":280,"to_index":638,"sum":132088,"residue":694},{"from_index":638,"to_index":996,"sum":124908,"residue":694},{"from_index":996,"to_index":280,"sum":127062,"residue":694}],"minimal_cycle":[694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[280,638],"circle_positions":718,"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":[281,639,997],"clock_positions":[281,639,997],"native_values":[175,534,175],"rotation_degrees":94.18994413407822,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,534,175],"beta":{"interval_sums":[132296,124398,127270],"interval_residues":[184,184,184],"display_cycle":[184,184,184],"intervals":[{"from_index":281,"to_index":639,"sum":132296,"residue":184},{"from_index":639,"to_index":997,"sum":124398,"residue":184},{"from_index":997,"to_index":281,"sum":127270,"residue":184}],"minimal_cycle":[184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[281,639],"circle_positions":718,"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":[282,640,998],"clock_positions":[282,640,998],"native_values":[558,199,199],"rotation_degrees":94.52513966480447,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,199,199],"beta":{"interval_sums":[132272,124374,127246],"interval_residues":[160,160,160],"display_cycle":[160,160,160],"intervals":[{"from_index":282,"to_index":640,"sum":132272,"residue":160},{"from_index":640,"to_index":998,"sum":124374,"residue":160},{"from_index":998,"to_index":282,"sum":127246,"residue":160}],"minimal_cycle":[160],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":160,"start_interval_clock_positions":[282,640],"circle_positions":718,"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":[283,641,999],"clock_positions":[283,641,999],"native_values":[15,15,374],"rotation_degrees":94.86033519553072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[15,15,374],"beta":{"interval_sums":[132456,124558,127430],"interval_residues":[344,344,344],"display_cycle":[344,344,344],"intervals":[{"from_index":283,"to_index":641,"sum":132456,"residue":344},{"from_index":641,"to_index":999,"sum":124558,"residue":344},{"from_index":999,"to_index":283,"sum":127430,"residue":344}],"minimal_cycle":[344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[283,641],"circle_positions":718,"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":[284,642,1000],"clock_positions":[284,642,1000],"native_values":[573,214,573],"rotation_degrees":95.19553072625699,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,214,573],"beta":{"interval_sums":[131898,124718,126872],"interval_residues":[504,504,504],"display_cycle":[504,504,504],"intervals":[{"from_index":284,"to_index":642,"sum":131898,"residue":504},{"from_index":642,"to_index":1000,"sum":124718,"residue":504},{"from_index":1000,"to_index":284,"sum":126872,"residue":504}],"minimal_cycle":[504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[284,642],"circle_positions":718,"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":[285,643,1001],"clock_positions":[285,643,1001],"native_values":[588,229,229],"rotation_degrees":95.53072625698324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[588,229,229],"beta":{"interval_sums":[131524,125062,127216],"interval_residues":[130,130,130],"display_cycle":[130,130,130],"intervals":[{"from_index":285,"to_index":643,"sum":131524,"residue":130},{"from_index":643,"to_index":1001,"sum":125062,"residue":130},{"from_index":1001,"to_index":285,"sum":127216,"residue":130}],"minimal_cycle":[130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[285,643],"circle_positions":718,"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":[286,644,1002],"clock_positions":[286,644,1002],"native_values":[443,443,84],"rotation_degrees":95.8659217877095,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[443,443,84],"beta":{"interval_sums":[131310,124848,127720],"interval_residues":[634,634,634],"display_cycle":[634,634,634],"intervals":[{"from_index":286,"to_index":644,"sum":131310,"residue":634},{"from_index":644,"to_index":1002,"sum":124848,"residue":634},{"from_index":1002,"to_index":286,"sum":127720,"residue":634}],"minimal_cycle":[634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[286,644],"circle_positions":718,"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":[287,645,1003],"clock_positions":[287,645,1003],"native_values":[313,672,313],"rotation_degrees":96.20111731843575,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,672,313],"beta":{"interval_sums":[131440,124260,127850],"interval_residues":[46,46,46],"display_cycle":[46,46,46],"intervals":[{"from_index":287,"to_index":645,"sum":131440,"residue":46},{"from_index":645,"to_index":1003,"sum":124260,"residue":46},{"from_index":1003,"to_index":287,"sum":127850,"residue":46}],"minimal_cycle":[46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":46,"start_interval_clock_positions":[287,645],"circle_positions":718,"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":[288,646,1004],"clock_positions":[288,646,1004],"native_values":[38,397,397],"rotation_degrees":96.53631284916202,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[38,397,397],"beta":{"interval_sums":[132074,124176,127766],"interval_residues":[680,680,680],"display_cycle":[680,680,680],"intervals":[{"from_index":288,"to_index":646,"sum":132074,"residue":680},{"from_index":646,"to_index":1004,"sum":124176,"residue":680},{"from_index":1004,"to_index":288,"sum":127766,"residue":680}],"minimal_cycle":[680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[288,646],"circle_positions":718,"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":[289,647,1005],"clock_positions":[289,647,1005],"native_values":[351,351,710],"rotation_degrees":96.87150837988827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,351,710],"beta":{"interval_sums":[132120,124222,127094],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":289,"to_index":647,"sum":132120,"residue":8},{"from_index":647,"to_index":1005,"sum":124222,"residue":8},{"from_index":1005,"to_index":289,"sum":127094,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[289,647],"circle_positions":718,"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":[290,648,1006],"clock_positions":[290,648,1006],"native_values":[389,30,389],"rotation_degrees":97.20670391061452,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,30,389],"beta":{"interval_sums":[132082,124902,127056],"interval_residues":[688,688,688],"display_cycle":[688,688,688],"intervals":[{"from_index":290,"to_index":648,"sum":132082,"residue":688},{"from_index":648,"to_index":1006,"sum":124902,"residue":688},{"from_index":1006,"to_index":290,"sum":127056,"residue":688}],"minimal_cycle":[688],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":688,"start_interval_clock_positions":[290,648],"circle_positions":718,"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":[291,649,1007],"clock_positions":[291,649,1007],"native_values":[22,381,381],"rotation_degrees":97.54189944134079,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,381,381],"beta":{"interval_sums":[132090,124910,127064],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":291,"to_index":649,"sum":132090,"residue":696},{"from_index":649,"to_index":1007,"sum":124910,"residue":696},{"from_index":1007,"to_index":291,"sum":127064,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[291,649],"circle_positions":718,"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":[292,650,1008],"clock_positions":[292,650,1008],"native_values":[411,411,52],"rotation_degrees":97.87709497206704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[411,411,52],"beta":{"interval_sums":[132060,124880,127034],"interval_residues":[666,666,666],"display_cycle":[666,666,666],"intervals":[{"from_index":292,"to_index":650,"sum":132060,"residue":666},{"from_index":650,"to_index":1008,"sum":124880,"residue":666},{"from_index":1008,"to_index":292,"sum":127034,"residue":666}],"minimal_cycle":[666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[292,650],"circle_positions":718,"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":[293,651,1009],"clock_positions":[293,651,1009],"native_values":[433,74,433],"rotation_degrees":98.2122905027933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,74,433],"beta":{"interval_sums":[132038,124858,127012],"interval_residues":[644,644,644],"display_cycle":[644,644,644],"intervals":[{"from_index":293,"to_index":651,"sum":132038,"residue":644},{"from_index":651,"to_index":1009,"sum":124858,"residue":644},{"from_index":1009,"to_index":293,"sum":127012,"residue":644}],"minimal_cycle":[644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":644,"start_interval_clock_positions":[293,651],"circle_positions":718,"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":[294,652,1010],"clock_positions":[294,652,1010],"native_values":[126,485,485],"rotation_degrees":98.54748603351955,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[126,485,485],"beta":{"interval_sums":[131986,124806,126960],"interval_residues":[592,592,592],"display_cycle":[592,592,592],"intervals":[{"from_index":294,"to_index":652,"sum":131986,"residue":592},{"from_index":652,"to_index":1010,"sum":124806,"residue":592},{"from_index":1010,"to_index":294,"sum":126960,"residue":592}],"minimal_cycle":[592],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":592,"start_interval_clock_positions":[294,652],"circle_positions":718,"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":[295,653,1011],"clock_positions":[295,653,1011],"native_values":[559,559,200],"rotation_degrees":98.88268156424581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,559,200],"beta":{"interval_sums":[131912,124732,126886],"interval_residues":[518,518,518],"display_cycle":[518,518,518],"intervals":[{"from_index":295,"to_index":653,"sum":131912,"residue":518},{"from_index":653,"to_index":1011,"sum":124732,"residue":518},{"from_index":1011,"to_index":295,"sum":126886,"residue":518}],"minimal_cycle":[518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[295,653],"circle_positions":718,"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":[296,654,1012],"clock_positions":[296,654,1012],"native_values":[685,326,685],"rotation_degrees":99.21787709497207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,326,685],"beta":{"interval_sums":[131786,124606,126760],"interval_residues":[392,392,392],"display_cycle":[392,392,392],"intervals":[{"from_index":296,"to_index":654,"sum":131786,"residue":392},{"from_index":654,"to_index":1012,"sum":124606,"residue":392},{"from_index":1012,"to_index":296,"sum":126760,"residue":392}],"minimal_cycle":[392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[296,654],"circle_positions":718,"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":[297,655,1013],"clock_positions":[297,655,1013],"native_values":[526,167,167],"rotation_degrees":99.55307262569832,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[526,167,167],"beta":{"interval_sums":[131586,125124,127278],"interval_residues":[192,192,192],"display_cycle":[192,192,192],"intervals":[{"from_index":297,"to_index":655,"sum":131586,"residue":192},{"from_index":655,"to_index":1013,"sum":125124,"residue":192},{"from_index":1013,"to_index":297,"sum":127278,"residue":192}],"minimal_cycle":[192],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":192,"start_interval_clock_positions":[297,655],"circle_positions":718,"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":[298,656,1014],"clock_positions":[298,656,1014],"native_values":[493,493,134],"rotation_degrees":99.88826815642459,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[493,493,134],"beta":{"interval_sums":[131260,124798,127670],"interval_residues":[584,584,584],"display_cycle":[584,584,584],"intervals":[{"from_index":298,"to_index":656,"sum":131260,"residue":584},{"from_index":656,"to_index":1014,"sum":124798,"residue":584},{"from_index":1014,"to_index":298,"sum":127670,"residue":584}],"minimal_cycle":[584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[298,656],"circle_positions":718,"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":[299,657,1015],"clock_positions":[299,657,1015],"native_values":[301,660,301],"rotation_degrees":100.22346368715084,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,660,301],"beta":{"interval_sums":[131452,124272,127862],"interval_residues":[58,58,58],"display_cycle":[58,58,58],"intervals":[{"from_index":299,"to_index":657,"sum":131452,"residue":58},{"from_index":657,"to_index":1015,"sum":124272,"residue":58},{"from_index":1015,"to_index":299,"sum":127862,"residue":58}],"minimal_cycle":[58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[299,657],"circle_positions":718,"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":[300,658,1016],"clock_positions":[300,658,1016],"native_values":[76,435,435],"rotation_degrees":100.55865921787709,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[76,435,435],"beta":{"interval_sums":[132036,124138,127728],"interval_residues":[642,642,642],"display_cycle":[642,642,642],"intervals":[{"from_index":300,"to_index":658,"sum":132036,"residue":642},{"from_index":658,"to_index":1016,"sum":124138,"residue":642},{"from_index":1016,"to_index":300,"sum":127728,"residue":642}],"minimal_cycle":[642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[300,658],"circle_positions":718,"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":[301,659,1017],"clock_positions":[301,659,1017],"native_values":[377,377,18],"rotation_degrees":100.89385474860335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,377,18],"beta":{"interval_sums":[132094,124196,127786],"interval_residues":[700,700,700],"display_cycle":[700,700,700],"intervals":[{"from_index":301,"to_index":659,"sum":132094,"residue":700},{"from_index":659,"to_index":1017,"sum":124196,"residue":700},{"from_index":1017,"to_index":301,"sum":127786,"residue":700}],"minimal_cycle":[700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[301,659],"circle_positions":718,"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":[302,660,1018],"clock_positions":[302,660,1018],"native_values":[453,94,453],"rotation_degrees":101.22905027932961,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[453,94,453],"beta":{"interval_sums":[132018,124120,127710],"interval_residues":[624,624,624],"display_cycle":[624,624,624],"intervals":[{"from_index":302,"to_index":660,"sum":132018,"residue":624},{"from_index":660,"to_index":1018,"sum":124120,"residue":624},{"from_index":1018,"to_index":302,"sum":127710,"residue":624}],"minimal_cycle":[624],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":624,"start_interval_clock_positions":[302,660],"circle_positions":718,"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":[303,661,1019],"clock_positions":[303,661,1019],"native_values":[112,471,471],"rotation_degrees":101.56424581005587,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[112,471,471],"beta":{"interval_sums":[132000,124102,127692],"interval_residues":[606,606,606],"display_cycle":[606,606,606],"intervals":[{"from_index":303,"to_index":661,"sum":132000,"residue":606},{"from_index":661,"to_index":1019,"sum":124102,"residue":606},{"from_index":1019,"to_index":303,"sum":127692,"residue":606}],"minimal_cycle":[606],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[303,661],"circle_positions":718,"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":[304,662,1020],"clock_positions":[304,662,1020],"native_values":[565,565,206],"rotation_degrees":101.89944134078212,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,565,206],"beta":{"interval_sums":[131906,124008,127598],"interval_residues":[512,512,512],"display_cycle":[512,512,512],"intervals":[{"from_index":304,"to_index":662,"sum":131906,"residue":512},{"from_index":662,"to_index":1020,"sum":124008,"residue":512},{"from_index":1020,"to_index":304,"sum":127598,"residue":512}],"minimal_cycle":[512],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":512,"start_interval_clock_positions":[304,662],"circle_positions":718,"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":[305,663,1021],"clock_positions":[305,663,1021],"native_values":[677,318,677],"rotation_degrees":102.23463687150839,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,318,677],"beta":{"interval_sums":[131794,123896,127486],"interval_residues":[400,400,400],"display_cycle":[400,400,400],"intervals":[{"from_index":305,"to_index":663,"sum":131794,"residue":400},{"from_index":663,"to_index":1021,"sum":123896,"residue":400},{"from_index":1021,"to_index":305,"sum":127486,"residue":400}],"minimal_cycle":[400],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[305,663],"circle_positions":718,"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":[306,664,1022],"clock_positions":[306,664,1022],"native_values":[524,165,165],"rotation_degrees":102.56983240223464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,165,165],"beta":{"interval_sums":[131588,124408,127998],"interval_residues":[194,194,194],"display_cycle":[194,194,194],"intervals":[{"from_index":306,"to_index":664,"sum":131588,"residue":194},{"from_index":664,"to_index":1022,"sum":124408,"residue":194},{"from_index":1022,"to_index":306,"sum":127998,"residue":194}],"minimal_cycle":[194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[306,664],"circle_positions":718,"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":[307,665,1023],"clock_positions":[307,665,1023],"native_values":[483,483,124],"rotation_degrees":102.90502793296089,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,483,124],"beta":{"interval_sums":[131270,124090,128398],"interval_residues":[594,594,594],"display_cycle":[594,594,594],"intervals":[{"from_index":307,"to_index":665,"sum":131270,"residue":594},{"from_index":665,"to_index":1023,"sum":124090,"residue":594},{"from_index":1023,"to_index":307,"sum":128398,"residue":594}],"minimal_cycle":[594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[307,665],"circle_positions":718,"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":[308,666,1024],"clock_positions":[308,666,1024],"native_values":[289,648,289],"rotation_degrees":103.24022346368714,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,648,289],"beta":{"interval_sums":[131464,123566,128592],"interval_residues":[70,70,70],"display_cycle":[70,70,70],"intervals":[{"from_index":308,"to_index":666,"sum":131464,"residue":70},{"from_index":666,"to_index":1024,"sum":123566,"residue":70},{"from_index":1024,"to_index":308,"sum":128592,"residue":70}],"minimal_cycle":[70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[308,666],"circle_positions":718,"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":[309,667,1025],"clock_positions":[309,667,1025],"native_values":[54,413,413],"rotation_degrees":103.57541899441341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[54,413,413],"beta":{"interval_sums":[132058,123442,128468],"interval_residues":[664,664,664],"display_cycle":[664,664,664],"intervals":[{"from_index":309,"to_index":667,"sum":132058,"residue":664},{"from_index":667,"to_index":1025,"sum":123442,"residue":664},{"from_index":1025,"to_index":309,"sum":128468,"residue":664}],"minimal_cycle":[664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[309,667],"circle_positions":718,"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":[310,668,1026],"clock_positions":[310,668,1026],"native_values":[343,343,702],"rotation_degrees":103.91061452513966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[343,343,702],"beta":{"interval_sums":[132128,123512,127820],"interval_residues":[16,16,16],"display_cycle":[16,16,16],"intervals":[{"from_index":310,"to_index":668,"sum":132128,"residue":16},{"from_index":668,"to_index":1026,"sum":123512,"residue":16},{"from_index":1026,"to_index":310,"sum":127820,"residue":16}],"minimal_cycle":[16],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":16,"start_interval_clock_positions":[310,668],"circle_positions":718,"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":[311,669,1027],"clock_positions":[311,669,1027],"native_values":[397,38,397],"rotation_degrees":104.24581005586592,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,38,397],"beta":{"interval_sums":[132074,124176,127766],"interval_residues":[680,680,680],"display_cycle":[680,680,680],"intervals":[{"from_index":311,"to_index":669,"sum":132074,"residue":680},{"from_index":669,"to_index":1027,"sum":124176,"residue":680},{"from_index":1027,"to_index":311,"sum":127766,"residue":680}],"minimal_cycle":[680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[311,669],"circle_positions":718,"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":[312,670,1028],"clock_positions":[312,670,1028],"native_values":[22,381,381],"rotation_degrees":104.58100558659218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[22,381,381],"beta":{"interval_sums":[132090,124192,127782],"interval_residues":[696,696,696],"display_cycle":[696,696,696],"intervals":[{"from_index":312,"to_index":670,"sum":132090,"residue":696},{"from_index":670,"to_index":1028,"sum":124192,"residue":696},{"from_index":1028,"to_index":312,"sum":127782,"residue":696}],"minimal_cycle":[696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[312,670],"circle_positions":718,"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":[313,671,1029],"clock_positions":[313,671,1029],"native_values":[419,419,60],"rotation_degrees":104.91620111731844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[419,419,60],"beta":{"interval_sums":[132052,124154,127744],"interval_residues":[658,658,658],"display_cycle":[658,658,658],"intervals":[{"from_index":313,"to_index":671,"sum":132052,"residue":658},{"from_index":671,"to_index":1029,"sum":124154,"residue":658},{"from_index":1029,"to_index":313,"sum":127744,"residue":658}],"minimal_cycle":[658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[313,671],"circle_positions":718,"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":[314,672,1030],"clock_positions":[314,672,1030],"native_values":[441,82,441],"rotation_degrees":105.25139664804469,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,82,441],"beta":{"interval_sums":[132030,124132,127722],"interval_residues":[636,636,636],"display_cycle":[636,636,636],"intervals":[{"from_index":314,"to_index":672,"sum":132030,"residue":636},{"from_index":672,"to_index":1030,"sum":124132,"residue":636},{"from_index":1030,"to_index":314,"sum":127722,"residue":636}],"minimal_cycle":[636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[314,672],"circle_positions":718,"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":[315,673,1031],"clock_positions":[315,673,1031],"native_values":[142,501,501],"rotation_degrees":105.58659217877096,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[142,501,501],"beta":{"interval_sums":[131970,124072,127662],"interval_residues":[576,576,576],"display_cycle":[576,576,576],"intervals":[{"from_index":315,"to_index":673,"sum":131970,"residue":576},{"from_index":673,"to_index":1031,"sum":124072,"residue":576},{"from_index":1031,"to_index":315,"sum":127662,"residue":576}],"minimal_cycle":[576],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":576,"start_interval_clock_positions":[315,673],"circle_positions":718,"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":[316,674,1032],"clock_positions":[316,674,1032],"native_values":[583,583,224],"rotation_degrees":105.92178770949721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[583,583,224],"beta":{"interval_sums":[131888,123990,127580],"interval_residues":[494,494,494],"display_cycle":[494,494,494],"intervals":[{"from_index":316,"to_index":674,"sum":131888,"residue":494},{"from_index":674,"to_index":1032,"sum":123990,"residue":494},{"from_index":1032,"to_index":316,"sum":127580,"residue":494}],"minimal_cycle":[494],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[316,674],"circle_positions":718,"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":[317,675,1033],"clock_positions":[317,675,1033],"native_values":[7,366,7],"rotation_degrees":106.25698324022346,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,366,7],"beta":{"interval_sums":[132464,123848,128156],"interval_residues":[352,352,352],"display_cycle":[352,352,352],"intervals":[{"from_index":317,"to_index":675,"sum":132464,"residue":352},{"from_index":675,"to_index":1033,"sum":123848,"residue":352},{"from_index":1033,"to_index":317,"sum":128156,"residue":352}],"minimal_cycle":[352],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[317,675],"circle_positions":718,"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":[318,676,1034],"clock_positions":[318,676,1034],"native_values":[590,231,231],"rotation_degrees":106.59217877094972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[590,231,231],"beta":{"interval_sums":[132240,123624,127932],"interval_residues":[128,128,128],"display_cycle":[128,128,128],"intervals":[{"from_index":318,"to_index":676,"sum":132240,"residue":128},{"from_index":676,"to_index":1034,"sum":123624,"residue":128},{"from_index":1034,"to_index":318,"sum":127932,"residue":128}],"minimal_cycle":[128],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":128,"start_interval_clock_positions":[318,676],"circle_positions":718,"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":[319,677,1035],"clock_positions":[319,677,1035],"native_values":[597,597,238],"rotation_degrees":106.92737430167598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,597,238],"beta":{"interval_sums":[131874,123258,128284],"interval_residues":[480,480,480],"display_cycle":[480,480,480],"intervals":[{"from_index":319,"to_index":677,"sum":131874,"residue":480},{"from_index":677,"to_index":1035,"sum":123258,"residue":480},{"from_index":1035,"to_index":319,"sum":128284,"residue":480}],"minimal_cycle":[480],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":480,"start_interval_clock_positions":[319,677],"circle_positions":718,"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":[320,678,1036],"clock_positions":[320,678,1036],"native_values":[469,110,469],"rotation_degrees":107.26256983240224,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,110,469],"beta":{"interval_sums":[132002,123386,128412],"interval_residues":[608,608,608],"display_cycle":[608,608,608],"intervals":[{"from_index":320,"to_index":678,"sum":132002,"residue":608},{"from_index":678,"to_index":1036,"sum":123386,"residue":608},{"from_index":1036,"to_index":320,"sum":128412,"residue":608}],"minimal_cycle":[608],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":608,"start_interval_clock_positions":[320,678],"circle_positions":718,"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":[321,679,1037],"clock_positions":[321,679,1037],"native_values":[348,707,707],"rotation_degrees":107.59776536312849,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[348,707,707],"beta":{"interval_sums":[131764,123148,128174],"interval_residues":[370,370,370],"display_cycle":[370,370,370],"intervals":[{"from_index":321,"to_index":679,"sum":131764,"residue":370},{"from_index":679,"to_index":1037,"sum":123148,"residue":370},{"from_index":1037,"to_index":321,"sum":128174,"residue":370}],"minimal_cycle":[370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[321,679],"circle_positions":718,"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":[322,680,1038],"clock_positions":[322,680,1038],"native_values":[99,99,458],"rotation_degrees":107.93296089385476,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,99,458],"beta":{"interval_sums":[132372,123756,128064],"interval_residues":[260,260,260],"display_cycle":[260,260,260],"intervals":[{"from_index":322,"to_index":680,"sum":132372,"residue":260},{"from_index":680,"to_index":1038,"sum":123756,"residue":260},{"from_index":1038,"to_index":322,"sum":128064,"residue":260}],"minimal_cycle":[260],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[322,680],"circle_positions":718,"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":[323,681,1039],"clock_positions":[323,681,1039],"native_values":[447,88,447],"rotation_degrees":108.26815642458101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,88,447],"beta":{"interval_sums":[132024,124126,127716],"interval_residues":[630,630,630],"display_cycle":[630,630,630],"intervals":[{"from_index":323,"to_index":681,"sum":132024,"residue":630},{"from_index":681,"to_index":1039,"sum":124126,"residue":630},{"from_index":1039,"to_index":323,"sum":127716,"residue":630}],"minimal_cycle":[630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[323,681],"circle_positions":718,"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":[324,682,1040],"clock_positions":[324,682,1040],"native_values":[546,187,187],"rotation_degrees":108.60335195530726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,187,187],"beta":{"interval_sums":[131566,124386,127976],"interval_residues":[172,172,172],"display_cycle":[172,172,172],"intervals":[{"from_index":324,"to_index":682,"sum":131566,"residue":172},{"from_index":682,"to_index":1040,"sum":124386,"residue":172},{"from_index":1040,"to_index":324,"sum":127976,"residue":172}],"minimal_cycle":[172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":172,"start_interval_clock_positions":[324,682],"circle_positions":718,"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":[325,683,1041],"clock_positions":[325,683,1041],"native_values":[275,275,634],"rotation_degrees":108.93854748603351,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[275,275,634],"beta":{"interval_sums":[131478,124298,127888],"interval_residues":[84,84,84],"display_cycle":[84,84,84],"intervals":[{"from_index":325,"to_index":683,"sum":131478,"residue":84},{"from_index":683,"to_index":1041,"sum":124298,"residue":84},{"from_index":1041,"to_index":325,"sum":127888,"residue":84}],"minimal_cycle":[84],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":84,"start_interval_clock_positions":[325,683],"circle_positions":718,"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":[326,684,1042],"clock_positions":[326,684,1042],"native_values":[103,462,103],"rotation_degrees":109.27374301675978,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[103,462,103],"beta":{"interval_sums":[131650,124470,128060],"interval_residues":[256,256,256],"display_cycle":[256,256,256],"intervals":[{"from_index":326,"to_index":684,"sum":131650,"residue":256},{"from_index":684,"to_index":1042,"sum":124470,"residue":256},{"from_index":1042,"to_index":326,"sum":128060,"residue":256}],"minimal_cycle":[256],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[326,684],"circle_positions":718,"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":[327,685,1043],"clock_positions":[327,685,1043],"native_values":[378,19,19],"rotation_degrees":109.60893854748603,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[378,19,19],"beta":{"interval_sums":[131734,124554,128144],"interval_residues":[340,340,340],"display_cycle":[340,340,340],"intervals":[{"from_index":327,"to_index":685,"sum":131734,"residue":340},{"from_index":685,"to_index":1043,"sum":124554,"residue":340},{"from_index":1043,"to_index":327,"sum":128144,"residue":340}],"minimal_cycle":[340],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":340,"start_interval_clock_positions":[327,685],"circle_positions":718,"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":[328,686,1044],"clock_positions":[328,686,1044],"native_values":[481,481,122],"rotation_degrees":109.94413407821229,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[481,481,122],"beta":{"interval_sums":[131272,124092,128400],"interval_residues":[596,596,596],"display_cycle":[596,596,596],"intervals":[{"from_index":328,"to_index":686,"sum":131272,"residue":596},{"from_index":686,"to_index":1044,"sum":124092,"residue":596},{"from_index":1044,"to_index":328,"sum":128400,"residue":596}],"minimal_cycle":[596],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[328,686],"circle_positions":718,"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":[329,687,1045],"clock_positions":[329,687,1045],"native_values":[141,500,141],"rotation_degrees":110.27932960893855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,500,141],"beta":{"interval_sums":[131612,123714,128740],"interval_residues":[218,218,218],"display_cycle":[218,218,218],"intervals":[{"from_index":329,"to_index":687,"sum":131612,"residue":218},{"from_index":687,"to_index":1045,"sum":123714,"residue":218},{"from_index":1045,"to_index":329,"sum":128740,"residue":218}],"minimal_cycle":[218],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[329,687],"circle_positions":718,"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":[330,688,1046],"clock_positions":[330,688,1046],"native_values":[622,263,263],"rotation_degrees":110.6145251396648,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[622,263,263],"beta":{"interval_sums":[131490,123592,128618],"interval_residues":[96,96,96],"display_cycle":[96,96,96],"intervals":[{"from_index":330,"to_index":688,"sum":131490,"residue":96},{"from_index":688,"to_index":1046,"sum":123592,"residue":96},{"from_index":1046,"to_index":330,"sum":128618,"residue":96}],"minimal_cycle":[96],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":96,"start_interval_clock_positions":[330,688],"circle_positions":718,"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":[331,689,1047],"clock_positions":[331,689,1047],"native_values":[45,45,404],"rotation_degrees":110.94972067039106,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,45,404],"beta":{"interval_sums":[131708,123810,128836],"interval_residues":[314,314,314],"display_cycle":[314,314,314],"intervals":[{"from_index":331,"to_index":689,"sum":131708,"residue":314},{"from_index":689,"to_index":1047,"sum":123810,"residue":314},{"from_index":1047,"to_index":331,"sum":128836,"residue":314}],"minimal_cycle":[314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[331,689],"circle_positions":718,"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":[332,690,1048],"clock_positions":[332,690,1048],"native_values":[667,308,667],"rotation_degrees":111.28491620111731,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,308,667],"beta":{"interval_sums":[131086,123906,128214],"interval_residues":[410,410,410],"display_cycle":[410,410,410],"intervals":[{"from_index":332,"to_index":690,"sum":131086,"residue":410},{"from_index":690,"to_index":1048,"sum":123906,"residue":410},{"from_index":1048,"to_index":332,"sum":128214,"residue":410}],"minimal_cycle":[410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[332,690],"circle_positions":718,"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":[333,691,1049],"clock_positions":[333,691,1049],"native_values":[712,353,353],"rotation_degrees":111.62011173184358,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[712,353,353],"beta":{"interval_sums":[130682,124220,128528],"interval_residues":[6,6,6],"display_cycle":[6,6,6],"intervals":[{"from_index":333,"to_index":691,"sum":130682,"residue":6},{"from_index":691,"to_index":1049,"sum":124220,"residue":6},{"from_index":1049,"to_index":333,"sum":128528,"residue":6}],"minimal_cycle":[6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":6,"start_interval_clock_positions":[333,691],"circle_positions":718,"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":[334,692,1050],"clock_positions":[334,692,1050],"native_values":[661,661,302],"rotation_degrees":111.95530726256983,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[661,661,302],"beta":{"interval_sums":[130374,123912,128938],"interval_residues":[416,416,416],"display_cycle":[416,416,416],"intervals":[{"from_index":334,"to_index":692,"sum":130374,"residue":416},{"from_index":692,"to_index":1050,"sum":123912,"residue":416},{"from_index":1050,"to_index":334,"sum":128938,"residue":416}],"minimal_cycle":[416],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":416,"start_interval_clock_positions":[334,692],"circle_positions":718,"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":[335,693,1051],"clock_positions":[335,693,1051],"native_values":[655,296,655],"rotation_degrees":112.29050279329608,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,296,655],"beta":{"interval_sums":[130380,123918,128944],"interval_residues":[422,422,422],"display_cycle":[422,422,422],"intervals":[{"from_index":335,"to_index":693,"sum":130380,"residue":422},{"from_index":693,"to_index":1051,"sum":123918,"residue":422},{"from_index":1051,"to_index":335,"sum":128944,"residue":422}],"minimal_cycle":[422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[335,693],"circle_positions":718,"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":[336,694,1052],"clock_positions":[336,694,1052],"native_values":[598,239,239],"rotation_degrees":112.62569832402235,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[598,239,239],"beta":{"interval_sums":[130078,124334,129360],"interval_residues":[120,120,120],"display_cycle":[120,120,120],"intervals":[{"from_index":336,"to_index":694,"sum":130078,"residue":120},{"from_index":694,"to_index":1052,"sum":124334,"residue":120},{"from_index":1052,"to_index":336,"sum":129360,"residue":120}],"minimal_cycle":[120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[336,694],"circle_positions":718,"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":[337,695,1053],"clock_positions":[337,695,1053],"native_values":[535,535,176],"rotation_degrees":112.9608938547486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[535,535,176],"beta":{"interval_sums":[129782,124038,129782],"interval_residues":[542,542,542],"display_cycle":[542,542,542],"intervals":[{"from_index":337,"to_index":695,"sum":129782,"residue":542},{"from_index":695,"to_index":1053,"sum":124038,"residue":542},{"from_index":1053,"to_index":337,"sum":129782,"residue":542}],"minimal_cycle":[542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":542,"start_interval_clock_positions":[337,695],"circle_positions":718,"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":[338,696,1054],"clock_positions":[338,696,1054],"native_values":[415,56,415],"rotation_degrees":113.29608938547486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[415,56,415],"beta":{"interval_sums":[129902,124158,129902],"interval_residues":[662,662,662],"display_cycle":[662,662,662],"intervals":[{"from_index":338,"to_index":696,"sum":129902,"residue":662},{"from_index":696,"to_index":1054,"sum":124158,"residue":662},{"from_index":1054,"to_index":338,"sum":129902,"residue":662}],"minimal_cycle":[662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[338,696],"circle_positions":718,"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":[339,697,1055],"clock_positions":[339,697,1055],"native_values":[232,591,591],"rotation_degrees":113.63128491620111,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,591,591],"beta":{"interval_sums":[129726,123982,129726],"interval_residues":[486,486,486],"display_cycle":[486,486,486],"intervals":[{"from_index":339,"to_index":697,"sum":129726,"residue":486},{"from_index":697,"to_index":1055,"sum":123982,"residue":486},{"from_index":1055,"to_index":339,"sum":129726,"residue":486}],"minimal_cycle":[486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":486,"start_interval_clock_positions":[339,697],"circle_positions":718,"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":[340,698,1056],"clock_positions":[340,698,1056],"native_values":[647,647,288],"rotation_degrees":113.96648044692738,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[647,647,288],"beta":{"interval_sums":[129670,123926,129670],"interval_residues":[430,430,430],"display_cycle":[430,430,430],"intervals":[{"from_index":340,"to_index":698,"sum":129670,"residue":430},{"from_index":698,"to_index":1056,"sum":123926,"residue":430},{"from_index":1056,"to_index":340,"sum":129670,"residue":430}],"minimal_cycle":[430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[340,698],"circle_positions":718,"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":[341,699,1057],"clock_positions":[341,699,1057],"native_values":[161,520,161],"rotation_degrees":114.30167597765363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,520,161],"beta":{"interval_sums":[130156,123694,130156],"interval_residues":[198,198,198],"display_cycle":[198,198,198],"intervals":[{"from_index":341,"to_index":699,"sum":130156,"residue":198},{"from_index":699,"to_index":1057,"sum":123694,"residue":198},{"from_index":1057,"to_index":341,"sum":130156,"residue":198}],"minimal_cycle":[198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[341,699],"circle_positions":718,"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":[342,700,1058],"clock_positions":[342,700,1058],"native_values":[90,449,449],"rotation_degrees":114.63687150837988,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[90,449,449],"beta":{"interval_sums":[130586,123406,129868],"interval_residues":[628,628,628],"display_cycle":[628,628,628],"intervals":[{"from_index":342,"to_index":700,"sum":130586,"residue":628},{"from_index":700,"to_index":1058,"sum":123406,"residue":628},{"from_index":1058,"to_index":342,"sum":129868,"residue":628}],"minimal_cycle":[628],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":628,"start_interval_clock_positions":[342,700],"circle_positions":718,"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":[343,701,1059],"clock_positions":[343,701,1059],"native_values":[251,251,610],"rotation_degrees":114.97206703910615,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[251,251,610],"beta":{"interval_sums":[130784,123604,129348],"interval_residues":[108,108,108],"display_cycle":[108,108,108],"intervals":[{"from_index":343,"to_index":701,"sum":130784,"residue":108},{"from_index":701,"to_index":1059,"sum":123604,"residue":108},{"from_index":1059,"to_index":343,"sum":129348,"residue":108}],"minimal_cycle":[108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":108,"start_interval_clock_positions":[343,701],"circle_positions":718,"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":[344,702,1060],"clock_positions":[344,702,1060],"native_values":[341,700,341],"rotation_degrees":115.3072625698324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,700,341],"beta":{"interval_sums":[130694,123514,129258],"interval_residues":[18,18,18],"display_cycle":[18,18,18],"intervals":[{"from_index":344,"to_index":702,"sum":130694,"residue":18},{"from_index":702,"to_index":1060,"sum":123514,"residue":18},{"from_index":1060,"to_index":344,"sum":129258,"residue":18}],"minimal_cycle":[18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[344,702],"circle_positions":718,"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":[345,703,1061],"clock_positions":[345,703,1061],"native_values":[592,233,233],"rotation_degrees":115.64245810055866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,233,233],"beta":{"interval_sums":[130802,123622,129366],"interval_residues":[126,126,126],"display_cycle":[126,126,126],"intervals":[{"from_index":345,"to_index":703,"sum":130802,"residue":126},{"from_index":703,"to_index":1061,"sum":123622,"residue":126},{"from_index":1061,"to_index":345,"sum":129366,"residue":126}],"minimal_cycle":[126],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[345,703],"circle_positions":718,"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":[346,704,1062],"clock_positions":[346,704,1062],"native_values":[215,215,574],"rotation_degrees":115.97765363128492,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[215,215,574],"beta":{"interval_sums":[130820,123640,129384],"interval_residues":[144,144,144],"display_cycle":[144,144,144],"intervals":[{"from_index":346,"to_index":704,"sum":130820,"residue":144},{"from_index":704,"to_index":1062,"sum":123640,"residue":144},{"from_index":1062,"to_index":346,"sum":129384,"residue":144}],"minimal_cycle":[144],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":144,"start_interval_clock_positions":[346,704],"circle_positions":718,"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":[347,705,1063],"clock_positions":[347,705,1063],"native_values":[89,448,89],"rotation_degrees":116.31284916201118,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,448,89],"beta":{"interval_sums":[130946,123766,129510],"interval_residues":[270,270,270],"display_cycle":[270,270,270],"intervals":[{"from_index":347,"to_index":705,"sum":130946,"residue":270},{"from_index":705,"to_index":1063,"sum":123766,"residue":270},{"from_index":1063,"to_index":347,"sum":129510,"residue":270}],"minimal_cycle":[270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":270,"start_interval_clock_positions":[347,705],"circle_positions":718,"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":[348,706,1064],"clock_positions":[348,706,1064],"native_values":[304,663,663],"rotation_degrees":116.64804469273743,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[304,663,663],"beta":{"interval_sums":[131090,123192,128936],"interval_residues":[414,414,414],"display_cycle":[414,414,414],"intervals":[{"from_index":348,"to_index":706,"sum":131090,"residue":414},{"from_index":706,"to_index":1064,"sum":123192,"residue":414},{"from_index":1064,"to_index":348,"sum":128936,"residue":414}],"minimal_cycle":[414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":414,"start_interval_clock_positions":[348,706],"circle_positions":718,"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":[349,707,1065],"clock_positions":[349,707,1065],"native_values":[393,393,34],"rotation_degrees":116.98324022346368,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,393,34],"beta":{"interval_sums":[131360,123462,129206],"interval_residues":[684,684,684],"display_cycle":[684,684,684],"intervals":[{"from_index":349,"to_index":707,"sum":131360,"residue":684},{"from_index":707,"to_index":1065,"sum":123462,"residue":684},{"from_index":1065,"to_index":349,"sum":129206,"residue":684}],"minimal_cycle":[684],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":684,"start_interval_clock_positions":[349,707],"circle_positions":718,"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":[350,708,1066],"clock_positions":[350,708,1066],"native_values":[697,338,697],"rotation_degrees":117.31843575418995,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,338,697],"beta":{"interval_sums":[131056,123158,128902],"interval_residues":[380,380,380],"display_cycle":[380,380,380],"intervals":[{"from_index":350,"to_index":708,"sum":131056,"residue":380},{"from_index":708,"to_index":1066,"sum":123158,"residue":380},{"from_index":1066,"to_index":350,"sum":128902,"residue":380}],"minimal_cycle":[380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[350,708],"circle_positions":718,"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":[351,709,1067],"clock_positions":[351,709,1067],"native_values":[372,13,13],"rotation_degrees":117.6536312849162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[372,13,13],"beta":{"interval_sums":[131022,123842,129586],"interval_residues":[346,346,346],"display_cycle":[346,346,346],"intervals":[{"from_index":351,"to_index":709,"sum":131022,"residue":346},{"from_index":709,"to_index":1067,"sum":123842,"residue":346},{"from_index":1067,"to_index":351,"sum":129586,"residue":346}],"minimal_cycle":[346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[351,709],"circle_positions":718,"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":[352,710,1068],"clock_positions":[352,710,1068],"native_values":[351,351,710],"rotation_degrees":117.98882681564245,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[351,351,710],"beta":{"interval_sums":[130684,123504,129248],"interval_residues":[8,8,8],"display_cycle":[8,8,8],"intervals":[{"from_index":352,"to_index":710,"sum":130684,"residue":8},{"from_index":710,"to_index":1068,"sum":123504,"residue":8},{"from_index":1068,"to_index":352,"sum":129248,"residue":8}],"minimal_cycle":[8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[352,710],"circle_positions":718,"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":[353,711,1069],"clock_positions":[353,711,1069],"native_values":[5,364,5],"rotation_degrees":118.32402234636872,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,364,5],"beta":{"interval_sums":[131030,123850,129594],"interval_residues":[354,354,354],"display_cycle":[354,354,354],"intervals":[{"from_index":353,"to_index":711,"sum":131030,"residue":354},{"from_index":711,"to_index":1069,"sum":123850,"residue":354},{"from_index":1069,"to_index":353,"sum":129594,"residue":354}],"minimal_cycle":[354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[353,711],"circle_positions":718,"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":[354,712,1070],"clock_positions":[354,712,1070],"native_values":[356,715,715],"rotation_degrees":118.65921787709497,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[356,715,715],"beta":{"interval_sums":[131038,123140,128884],"interval_residues":[362,362,362],"display_cycle":[362,362,362],"intervals":[{"from_index":354,"to_index":712,"sum":131038,"residue":362},{"from_index":712,"to_index":1070,"sum":123140,"residue":362},{"from_index":1070,"to_index":354,"sum":128884,"residue":362}],"minimal_cycle":[362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[354,712],"circle_positions":718,"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":[355,713,1071],"clock_positions":[355,713,1071],"native_values":[361,361,2],"rotation_degrees":118.99441340782123,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,361,2],"beta":{"interval_sums":[131392,123494,129238],"interval_residues":[716,716,716],"display_cycle":[716,716,716],"intervals":[{"from_index":355,"to_index":713,"sum":131392,"residue":716},{"from_index":713,"to_index":1071,"sum":123494,"residue":716},{"from_index":1071,"to_index":355,"sum":129238,"residue":716}],"minimal_cycle":[716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":716,"start_interval_clock_positions":[355,713],"circle_positions":718,"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":[356,714,1072],"clock_positions":[356,714,1072],"native_values":[717,358,717],"rotation_degrees":119.32960893854748,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,358,717],"beta":{"interval_sums":[131036,123138,128882],"interval_residues":[360,360,360],"display_cycle":[360,360,360],"intervals":[{"from_index":356,"to_index":714,"sum":131036,"residue":360},{"from_index":714,"to_index":1072,"sum":123138,"residue":360},{"from_index":1072,"to_index":356,"sum":128882,"residue":360}],"minimal_cycle":[360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[356,714],"circle_positions":718,"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":[357,715,1073],"clock_positions":[357,715,1073],"native_values":[360,1,1],"rotation_degrees":119.66480446927375,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[360,1,1],"beta":{"interval_sums":[131034,123854,129598],"interval_residues":[358,358,358],"display_cycle":[358,358,358],"intervals":[{"from_index":357,"to_index":715,"sum":131034,"residue":358},{"from_index":715,"to_index":1073,"sum":123854,"residue":358},{"from_index":1073,"to_index":357,"sum":129598,"residue":358}],"minimal_cycle":[358],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[357,715],"circle_positions":718,"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":[0,179,358,537,716,895],"clock_positions":[1074,179,358,537,716,895],"native_values":[718,131,359,490,359,131],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[718,131,359,490,359,131],"beta":{"interval_sums":[63787,66040,63069,67117,60556,62809],"interval_residues":[603,702,603,343,244,343],"display_cycle":[603,702,603,343,244,343],"intervals":[{"from_index":0,"to_index":179,"sum":63787,"residue":603},{"from_index":179,"to_index":358,"sum":66040,"residue":702},{"from_index":358,"to_index":537,"sum":63069,"residue":603},{"from_index":537,"to_index":716,"sum":67117,"residue":343},{"from_index":716,"to_index":895,"sum":60556,"residue":244},{"from_index":895,"to_index":0,"sum":62809,"residue":343}],"minimal_cycle":[603,702,603,343,244,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":603,"start_interval_clock_positions":[1074,179],"circle_positions":718,"cycle_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":[1,180,359,538,717,896],"clock_positions":[1,180,359,538,717,896],"native_values":[1,604,1,245,360,245],"rotation_degrees":0.33519553072625696,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,604,1,245,360,245],"beta":{"interval_sums":[63917,65795,63558,67231,60327,62564],"interval_residues":[15,457,374,457,15,98],"display_cycle":[15,457,374,457,15,98],"intervals":[{"from_index":1,"to_index":180,"sum":63917,"residue":15},{"from_index":180,"to_index":359,"sum":65795,"residue":457},{"from_index":359,"to_index":538,"sum":63558,"residue":374},{"from_index":538,"to_index":717,"sum":67231,"residue":457},{"from_index":717,"to_index":896,"sum":60327,"residue":15},{"from_index":896,"to_index":1,"sum":62564,"residue":98}],"minimal_cycle":[15,457,374,457,15,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":15,"start_interval_clock_positions":[1,180],"circle_positions":718,"cycle_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":[2,181,360,539,718,897],"clock_positions":[2,181,360,539,718,897],"native_values":[1,17,360,17,1,376],"rotation_degrees":0.6703910614525139,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,17,360,17,1,376],"beta":{"interval_sums":[64520,65779,63443,67574,60571,62189],"interval_residues":[618,441,259,82,259,441],"display_cycle":[618,441,259,82,259,441],"intervals":[{"from_index":2,"to_index":181,"sum":64520,"residue":618},{"from_index":181,"to_index":360,"sum":65779,"residue":441},{"from_index":360,"to_index":539,"sum":63443,"residue":259},{"from_index":539,"to_index":718,"sum":67574,"residue":82},{"from_index":718,"to_index":897,"sum":60571,"residue":259},{"from_index":897,"to_index":2,"sum":62189,"residue":441}],"minimal_cycle":[618,441,259,82,259,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[2,181],"circle_positions":718,"cycle_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":[3,182,361,540,719,898],"clock_positions":[3,182,361,540,719,898],"native_values":[2,621,361,262,361,621],"rotation_degrees":1.005586592178771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,621,361,262,361,621],"beta":{"interval_sums":[64535,65518,63099,67313,60586,61569],"interval_residues":[633,180,633,539,274,539],"display_cycle":[633,180,633,539,274,539],"intervals":[{"from_index":3,"to_index":182,"sum":64535,"residue":633},{"from_index":182,"to_index":361,"sum":65518,"residue":180},{"from_index":361,"to_index":540,"sum":63099,"residue":633},{"from_index":540,"to_index":719,"sum":67313,"residue":539},{"from_index":719,"to_index":898,"sum":60586,"residue":274},{"from_index":898,"to_index":3,"sum":61569,"residue":539}],"minimal_cycle":[633,180,633,539,274,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":633,"start_interval_clock_positions":[3,182],"circle_positions":718,"cycle_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":[4,183,362,541,720,899],"clock_positions":[4,183,362,541,720,899],"native_values":[3,638,3,279,362,279],"rotation_degrees":1.3407821229050279,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,638,3,279,362,279],"beta":{"interval_sums":[65153,65241,63358,67395,60845,61292],"interval_residues":[533,621,174,621,533,262],"display_cycle":[533,621,174,621,533,262],"intervals":[{"from_index":4,"to_index":183,"sum":65153,"residue":533},{"from_index":183,"to_index":362,"sum":65241,"residue":621},{"from_index":362,"to_index":541,"sum":63358,"residue":174},{"from_index":541,"to_index":720,"sum":67395,"residue":621},{"from_index":720,"to_index":899,"sum":60845,"residue":533},{"from_index":899,"to_index":4,"sum":61292,"residue":262}],"minimal_cycle":[533,621,174,621,533,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":533,"start_interval_clock_positions":[4,183],"circle_positions":718,"cycle_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":[5,184,363,542,721,900],"clock_positions":[5,184,363,542,721,900],"native_values":[5,541,364,541,5,182],"rotation_degrees":1.675977653631285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,541,364,541,5,182],"beta":{"interval_sums":[65786,64703,63273,67216,61119,61113],"interval_residues":[448,83,89,442,89,83],"display_cycle":[448,83,89,442,89,83],"intervals":[{"from_index":5,"to_index":184,"sum":65786,"residue":448},{"from_index":184,"to_index":363,"sum":64703,"residue":83},{"from_index":363,"to_index":542,"sum":63273,"residue":89},{"from_index":542,"to_index":721,"sum":67216,"residue":442},{"from_index":721,"to_index":900,"sum":61119,"residue":89},{"from_index":900,"to_index":5,"sum":61113,"residue":83}],"minimal_cycle":[448,83,89,442,89,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":448,"start_interval_clock_positions":[5,184],"circle_positions":718,"cycle_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":[6,185,364,543,722,901],"clock_positions":[6,185,364,543,722,901],"native_values":[8,461,367,102,367,461],"rotation_degrees":2.011173184357542,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,461,367,102,367,461],"beta":{"interval_sums":[66319,64606,63447,67119,60934,60657],"interval_residues":[263,704,263,345,622,345],"display_cycle":[263,704,263,345,622,345],"intervals":[{"from_index":6,"to_index":185,"sum":66319,"residue":263},{"from_index":185,"to_index":364,"sum":64606,"residue":704},{"from_index":364,"to_index":543,"sum":63447,"residue":263},{"from_index":543,"to_index":722,"sum":67119,"residue":345},{"from_index":722,"to_index":901,"sum":60934,"residue":622},{"from_index":901,"to_index":6,"sum":60657,"residue":345}],"minimal_cycle":[263,704,263,345,622,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":263,"start_interval_clock_positions":[6,185],"circle_positions":718,"cycle_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":[7,186,365,544,723,902],"clock_positions":[7,186,365,544,723,902],"native_values":[13,284,13,643,372,643],"rotation_degrees":2.346368715083799,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,284,13,643,372,643],"beta":{"interval_sums":[66767,64689,63536,66843,61023,60022],"interval_residues":[711,69,352,69,711,428],"display_cycle":[711,69,352,69,711,428],"intervals":[{"from_index":7,"to_index":186,"sum":66767,"residue":711},{"from_index":186,"to_index":365,"sum":64689,"residue":69},{"from_index":365,"to_index":544,"sum":63536,"residue":352},{"from_index":544,"to_index":723,"sum":66843,"residue":69},{"from_index":723,"to_index":902,"sum":61023,"residue":711},{"from_index":902,"to_index":7,"sum":60022,"residue":428}],"minimal_cycle":[711,69,352,69,711,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[7,186],"circle_positions":718,"cycle_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":[8,187,366,545,724,903],"clock_positions":[8,187,366,545,724,903],"native_values":[21,27,380,27,21,386],"rotation_degrees":2.6815642458100557,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,27,380,27,21,386],"beta":{"interval_sums":[67030,64675,63799,67188,61645,59649],"interval_residues":[256,55,615,414,615,55],"display_cycle":[256,55,615,414,615,55],"intervals":[{"from_index":8,"to_index":187,"sum":67030,"residue":256},{"from_index":187,"to_index":366,"sum":64675,"residue":55},{"from_index":366,"to_index":545,"sum":63799,"residue":615},{"from_index":545,"to_index":724,"sum":67188,"residue":414},{"from_index":724,"to_index":903,"sum":61645,"residue":615},{"from_index":903,"to_index":8,"sum":59649,"residue":55}],"minimal_cycle":[256,55,615,414,615,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":256,"start_interval_clock_positions":[8,187],"circle_positions":718,"cycle_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":[9,188,367,546,725,904],"clock_positions":[9,188,367,546,725,904],"native_values":[34,311,393,670,393,311],"rotation_degrees":3.016759776536313,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,311,393,670,393,311],"beta":{"interval_sums":[67023,64744,63433,66539,61638,59359],"interval_residues":[249,124,249,483,608,483],"display_cycle":[249,124,249,483,608,483],"intervals":[{"from_index":9,"to_index":188,"sum":67023,"residue":249},{"from_index":188,"to_index":367,"sum":64744,"residue":124},{"from_index":367,"to_index":546,"sum":63433,"residue":249},{"from_index":546,"to_index":725,"sum":66539,"residue":483},{"from_index":725,"to_index":904,"sum":61638,"residue":608},{"from_index":904,"to_index":9,"sum":59359,"residue":483}],"minimal_cycle":[249,124,249,483,608,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[9,188],"circle_positions":718,"cycle_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":[10,189,368,547,726,905],"clock_positions":[10,189,368,547,726,905],"native_values":[55,338,55,697,414,697],"rotation_degrees":3.35195530726257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,338,55,697,414,697],"beta":{"interval_sums":[67279,64799,64048,66235,61535,58696],"interval_residues":[505,179,146,179,505,538],"display_cycle":[505,179,146,179,505,538],"intervals":[{"from_index":10,"to_index":189,"sum":67279,"residue":505},{"from_index":189,"to_index":368,"sum":64799,"residue":179},{"from_index":368,"to_index":547,"sum":64048,"residue":146},{"from_index":547,"to_index":726,"sum":66235,"residue":179},{"from_index":726,"to_index":905,"sum":61535,"residue":505},{"from_index":905,"to_index":10,"sum":58696,"residue":538}],"minimal_cycle":[505,179,146,179,505,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[10,189],"circle_positions":718,"cycle_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":[11,190,369,548,727,906],"clock_positions":[11,190,369,548,727,906],"native_values":[89,649,448,649,89,290],"rotation_degrees":3.6871508379888267,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,649,448,649,89,290],"beta":{"interval_sums":[67528,64205,64297,66000,62143,58461],"interval_residues":[36,303,395,662,395,303],"display_cycle":[36,303,395,662,395,303],"intervals":[{"from_index":11,"to_index":190,"sum":67528,"residue":36},{"from_index":190,"to_index":369,"sum":64205,"residue":303},{"from_index":369,"to_index":548,"sum":64297,"residue":395},{"from_index":548,"to_index":727,"sum":66000,"residue":662},{"from_index":727,"to_index":906,"sum":62143,"residue":395},{"from_index":906,"to_index":11,"sum":58461,"residue":303}],"minimal_cycle":[36,303,395,662,395,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[11,190],"circle_positions":718,"cycle_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":[12,191,370,549,728,907],"clock_positions":[12,191,370,549,728,907],"native_values":[144,269,503,628,503,269],"rotation_degrees":4.022346368715084,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,269,503,628,503,269],"beta":{"interval_sums":[68033,64384,64443,65461,61930,58281],"interval_residues":[541,482,541,123,182,123],"display_cycle":[541,482,541,123,182,123],"intervals":[{"from_index":12,"to_index":191,"sum":68033,"residue":541},{"from_index":191,"to_index":370,"sum":64384,"residue":482},{"from_index":370,"to_index":549,"sum":64443,"residue":541},{"from_index":549,"to_index":728,"sum":65461,"residue":123},{"from_index":728,"to_index":907,"sum":61930,"residue":182},{"from_index":907,"to_index":12,"sum":58281,"residue":123}],"minimal_cycle":[541,482,541,123,182,123],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":541,"start_interval_clock_positions":[12,191],"circle_positions":718,"cycle_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":[13,192,371,550,729,908],"clock_positions":[13,192,371,550,729,908],"native_values":[233,200,233,559,592,559],"rotation_degrees":4.35754189944134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,200,233,559,592,559],"beta":{"interval_sums":[68069,64687,64838,65405,61607,57866],"interval_residues":[577,67,218,67,577,426],"display_cycle":[577,67,218,67,577,426],"intervals":[{"from_index":13,"to_index":192,"sum":68069,"residue":577},{"from_index":192,"to_index":371,"sum":64687,"residue":67},{"from_index":371,"to_index":550,"sum":64838,"residue":218},{"from_index":550,"to_index":729,"sum":65405,"residue":67},{"from_index":729,"to_index":908,"sum":61607,"residue":577},{"from_index":908,"to_index":13,"sum":57866,"residue":426}],"minimal_cycle":[577,67,218,67,577,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":577,"start_interval_clock_positions":[13,192],"circle_positions":718,"cycle_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":[14,193,372,551,730,909],"clock_positions":[14,193,372,551,730,909],"native_values":[377,469,18,469,377,110],"rotation_degrees":4.692737430167598,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,469,18,469,377,110],"beta":{"interval_sums":[67892,64451,65379,65528,61789,57989],"interval_residues":[400,549,41,190,41,549],"display_cycle":[400,549,41,190,41,549],"intervals":[{"from_index":14,"to_index":193,"sum":67892,"residue":400},{"from_index":193,"to_index":372,"sum":64451,"residue":549},{"from_index":372,"to_index":551,"sum":65379,"residue":41},{"from_index":551,"to_index":730,"sum":65528,"residue":190},{"from_index":730,"to_index":909,"sum":61789,"residue":41},{"from_index":909,"to_index":14,"sum":57989,"residue":549}],"minimal_cycle":[400,549,41,190,41,549],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":400,"start_interval_clock_positions":[14,193],"circle_positions":718,"cycle_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":[15,194,373,552,731,910],"clock_positions":[15,194,373,552,731,910],"native_values":[610,669,251,310,251,669],"rotation_degrees":5.027932960893855,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,669,251,310,251,669],"beta":{"interval_sums":[67751,63800,65597,65595,61648,57697],"interval_residues":[259,616,259,257,618,257],"display_cycle":[259,616,259,257,618,257],"intervals":[{"from_index":15,"to_index":194,"sum":67751,"residue":259},{"from_index":194,"to_index":373,"sum":63800,"residue":616},{"from_index":373,"to_index":552,"sum":65597,"residue":259},{"from_index":552,"to_index":731,"sum":65595,"residue":257},{"from_index":731,"to_index":910,"sum":61648,"residue":618},{"from_index":910,"to_index":15,"sum":57697,"residue":257}],"minimal_cycle":[259,616,259,257,618,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[15,194],"circle_positions":718,"cycle_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":[16,195,374,553,732,911],"clock_positions":[16,195,374,553,732,911],"native_values":[269,420,269,61,628,61],"rotation_degrees":5.363128491620111,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,420,269,61,628,61],"beta":{"interval_sums":[68151,63631,65638,65785,61689,58246],"interval_residues":[659,447,300,447,659,88],"display_cycle":[659,447,300,447,659,88],"intervals":[{"from_index":16,"to_index":195,"sum":68151,"residue":659},{"from_index":195,"to_index":374,"sum":63631,"residue":447},{"from_index":374,"to_index":553,"sum":65638,"residue":300},{"from_index":553,"to_index":732,"sum":65785,"residue":447},{"from_index":732,"to_index":911,"sum":61689,"residue":659},{"from_index":911,"to_index":16,"sum":58246,"residue":88}],"minimal_cycle":[659,447,300,447,659,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":659,"start_interval_clock_positions":[16,195],"circle_positions":718,"cycle_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":[17,196,375,554,733,912],"clock_positions":[17,196,375,554,733,912],"native_values":[161,371,520,371,161,12],"rotation_degrees":5.698324022346369,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,371,520,371,161,12],"beta":{"interval_sums":[68410,63529,65179,66042,61589,58503],"interval_residues":[200,345,559,704,559,345],"display_cycle":[200,345,559,704,559,345],"intervals":[{"from_index":17,"to_index":196,"sum":68410,"residue":200},{"from_index":196,"to_index":375,"sum":63529,"residue":345},{"from_index":375,"to_index":554,"sum":65179,"residue":559},{"from_index":554,"to_index":733,"sum":66042,"residue":704},{"from_index":733,"to_index":912,"sum":61589,"residue":559},{"from_index":912,"to_index":17,"sum":58503,"residue":345}],"minimal_cycle":[200,345,559,704,559,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[17,196],"circle_positions":718,"cycle_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":[18,197,376,555,734,913],"clock_positions":[18,197,376,555,734,913],"native_values":[430,73,71,432,71,73],"rotation_degrees":6.033519553072626,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[430,73,71,432,71,73],"beta":{"interval_sums":[68351,63976,65479,65771,61530,58591],"interval_residues":[141,74,141,433,500,433],"display_cycle":[141,74,141,433,500,433],"intervals":[{"from_index":18,"to_index":197,"sum":68351,"residue":141},{"from_index":197,"to_index":376,"sum":63976,"residue":74},{"from_index":376,"to_index":555,"sum":65479,"residue":141},{"from_index":555,"to_index":734,"sum":65771,"residue":433},{"from_index":734,"to_index":913,"sum":61530,"residue":500},{"from_index":913,"to_index":18,"sum":58591,"residue":433}],"minimal_cycle":[141,74,141,433,500,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[18,197],"circle_positions":718,"cycle_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":[19,198,377,556,735,914],"clock_positions":[19,198,377,556,735,914],"native_values":[591,444,591,85,232,85],"rotation_degrees":6.368715083798882,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[591,444,591,85,232,85],"beta":{"interval_sums":[67833,63603,65320,65757,61371,58936],"interval_residues":[341,419,700,419,341,60],"display_cycle":[341,419,700,419,341,60],"intervals":[{"from_index":19,"to_index":198,"sum":67833,"residue":341},{"from_index":198,"to_index":377,"sum":63603,"residue":419},{"from_index":377,"to_index":556,"sum":65320,"residue":700},{"from_index":556,"to_index":735,"sum":65757,"residue":419},{"from_index":735,"to_index":914,"sum":61371,"residue":341},{"from_index":914,"to_index":19,"sum":58936,"residue":60}],"minimal_cycle":[341,419,700,419,341,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[19,198],"circle_positions":718,"cycle_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":[20,199,378,557,736,915],"clock_positions":[20,199,378,557,736,915],"native_values":[303,517,662,517,303,158],"rotation_degrees":6.70391061452514,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[303,517,662,517,303,158],"beta":{"interval_sums":[67974,63677,64743,65472,61153,59369],"interval_residues":[482,493,123,134,123,493],"display_cycle":[482,493,123,134,123,493],"intervals":[{"from_index":20,"to_index":199,"sum":67974,"residue":482},{"from_index":199,"to_index":378,"sum":63677,"residue":493},{"from_index":378,"to_index":557,"sum":64743,"residue":123},{"from_index":557,"to_index":736,"sum":65472,"residue":134},{"from_index":736,"to_index":915,"sum":61153,"residue":123},{"from_index":915,"to_index":20,"sum":59369,"residue":493}],"minimal_cycle":[482,493,123,134,123,493],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[20,199],"circle_positions":718,"cycle_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":[21,200,379,558,737,916],"clock_positions":[21,200,379,558,737,916],"native_values":[176,243,535,602,535,243],"rotation_degrees":7.039106145251397,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,243,535,602,535,243],"beta":{"interval_sums":[68315,64096,64725,65173,60776,59429],"interval_residues":[105,194,105,553,464,553],"display_cycle":[105,194,105,553,464,553],"intervals":[{"from_index":21,"to_index":200,"sum":68315,"residue":105},{"from_index":200,"to_index":379,"sum":64096,"residue":194},{"from_index":379,"to_index":558,"sum":64725,"residue":105},{"from_index":558,"to_index":737,"sum":65173,"residue":553},{"from_index":737,"to_index":916,"sum":60776,"residue":464},{"from_index":916,"to_index":21,"sum":59429,"residue":553}],"minimal_cycle":[105,194,105,553,464,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[21,200],"circle_positions":718,"cycle_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":[22,201,380,559,738,917],"clock_positions":[22,201,380,559,738,917],"native_values":[479,42,479,401,120,401],"rotation_degrees":7.374301675977653,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[479,42,479,401,120,401],"beta":{"interval_sums":[68079,64589,64848,65307,60899,59204],"interval_residues":[587,687,228,687,587,328],"display_cycle":[587,687,228,687,587,328],"intervals":[{"from_index":22,"to_index":201,"sum":68079,"residue":587},{"from_index":201,"to_index":380,"sum":64589,"residue":687},{"from_index":380,"to_index":559,"sum":64848,"residue":228},{"from_index":559,"to_index":738,"sum":65307,"residue":687},{"from_index":738,"to_index":917,"sum":60899,"residue":587},{"from_index":917,"to_index":22,"sum":59204,"residue":328}],"minimal_cycle":[587,687,228,687,587,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[22,201],"circle_positions":718,"cycle_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":[23,202,381,560,739,918],"clock_positions":[23,202,381,560,739,918],"native_values":[655,285,296,285,655,644],"rotation_degrees":7.709497206703911,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,285,296,285,655,644],"beta":{"interval_sums":[67466,64783,64953,65142,60645,59039],"interval_residues":[692,163,333,522,333,163],"display_cycle":[692,163,333,522,333,163],"intervals":[{"from_index":23,"to_index":202,"sum":67466,"residue":692},{"from_index":202,"to_index":381,"sum":64783,"residue":163},{"from_index":381,"to_index":560,"sum":64953,"residue":333},{"from_index":560,"to_index":739,"sum":65142,"residue":522},{"from_index":739,"to_index":918,"sum":60645,"residue":333},{"from_index":918,"to_index":23,"sum":59039,"residue":163}],"minimal_cycle":[692,163,333,522,333,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[23,202],"circle_positions":718,"cycle_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":[24,203,382,561,740,919],"clock_positions":[24,203,382,561,740,919],"native_values":[416,327,57,686,57,327],"rotation_degrees":8.044692737430168,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,327,57,686,57,327],"beta":{"interval_sums":[67335,64752,65181,65111,61232,59367],"interval_residues":[561,132,561,491,202,491],"display_cycle":[561,132,561,491,202,491],"intervals":[{"from_index":24,"to_index":203,"sum":67335,"residue":561},{"from_index":203,"to_index":382,"sum":64752,"residue":132},{"from_index":382,"to_index":561,"sum":65181,"residue":561},{"from_index":561,"to_index":740,"sum":65111,"residue":491},{"from_index":740,"to_index":919,"sum":61232,"residue":202},{"from_index":919,"to_index":24,"sum":59367,"residue":491}],"minimal_cycle":[561,132,561,491,202,491],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[24,203],"circle_positions":718,"cycle_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":[25,204,383,562,741,920],"clock_positions":[25,204,383,562,741,920],"native_values":[353,612,353,253,712,253],"rotation_degrees":8.379888268156424,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,612,353,253,712,253],"beta":{"interval_sums":[67309,64197,65514,64915,60847,59530],"interval_residues":[535,295,176,295,535,654],"display_cycle":[535,295,176,295,535,654],"intervals":[{"from_index":25,"to_index":204,"sum":67309,"residue":535},{"from_index":204,"to_index":383,"sum":64197,"residue":295},{"from_index":383,"to_index":562,"sum":65514,"residue":176},{"from_index":562,"to_index":741,"sum":64915,"residue":295},{"from_index":741,"to_index":920,"sum":60847,"residue":535},{"from_index":920,"to_index":25,"sum":59530,"residue":654}],"minimal_cycle":[535,295,176,295,535,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":535,"start_interval_clock_positions":[25,204],"circle_positions":718,"cycle_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":[26,205,384,563,742,921],"clock_positions":[26,205,384,563,742,921],"native_values":[51,221,410,221,51,580],"rotation_degrees":8.71508379888268,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[51,221,410,221,51,580],"beta":{"interval_sums":[67870,64329,65357,65406,61049,59303],"interval_residues":[378,427,19,68,19,427],"display_cycle":[378,427,19,68,19,427],"intervals":[{"from_index":26,"to_index":205,"sum":67870,"residue":378},{"from_index":205,"to_index":384,"sum":64329,"residue":427},{"from_index":384,"to_index":563,"sum":65357,"residue":19},{"from_index":563,"to_index":742,"sum":65406,"residue":68},{"from_index":742,"to_index":921,"sum":61049,"residue":19},{"from_index":921,"to_index":26,"sum":59303,"residue":427}],"minimal_cycle":[378,427,19,68,19,427],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[26,205],"circle_positions":718,"cycle_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":[27,206,385,564,743,922],"clock_positions":[27,206,385,564,743,922],"native_values":[404,115,45,474,45,115],"rotation_degrees":9.050279329608939,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[404,115,45,474,45,115],"beta":{"interval_sums":[67687,64624,65533,64983,61584,59239],"interval_residues":[195,4,195,363,554,363],"display_cycle":[195,4,195,363,554,363],"intervals":[{"from_index":27,"to_index":206,"sum":67687,"residue":195},{"from_index":206,"to_index":385,"sum":64624,"residue":4},{"from_index":385,"to_index":564,"sum":65533,"residue":195},{"from_index":564,"to_index":743,"sum":64983,"residue":363},{"from_index":743,"to_index":922,"sum":61584,"residue":554},{"from_index":922,"to_index":27,"sum":59239,"residue":363}],"minimal_cycle":[195,4,195,363,554,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":195,"start_interval_clock_positions":[27,206],"circle_positions":718,"cycle_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":[28,207,386,565,744,923],"clock_positions":[28,207,386,565,744,923],"native_values":[455,336,455,695,96,695],"rotation_degrees":9.385474860335195,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[455,336,455,695,96,695],"beta":{"interval_sums":[67347,64333,65552,64333,61603,58948],"interval_residues":[573,431,214,431,573,72],"display_cycle":[573,431,214,431,573,72],"intervals":[{"from_index":28,"to_index":207,"sum":67347,"residue":573},{"from_index":207,"to_index":386,"sum":64333,"residue":431},{"from_index":386,"to_index":565,"sum":65552,"residue":214},{"from_index":565,"to_index":744,"sum":64333,"residue":431},{"from_index":744,"to_index":923,"sum":61603,"residue":573},{"from_index":923,"to_index":28,"sum":58948,"residue":72}],"minimal_cycle":[573,431,214,431,573,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[28,207],"circle_positions":718,"cycle_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":[29,208,387,566,745,924],"clock_positions":[29,208,387,566,745,924],"native_values":[141,451,500,451,141,92],"rotation_degrees":9.720670391061452,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,451,500,451,141,92],"beta":{"interval_sums":[67542,64337,65747,63978,62157,59311],"interval_residues":[50,435,409,76,409,435],"display_cycle":[50,435,409,76,409,435],"intervals":[{"from_index":29,"to_index":208,"sum":67542,"residue":50},{"from_index":208,"to_index":387,"sum":64337,"residue":435},{"from_index":387,"to_index":566,"sum":65747,"residue":409},{"from_index":566,"to_index":745,"sum":63978,"residue":76},{"from_index":745,"to_index":924,"sum":62157,"residue":409},{"from_index":924,"to_index":29,"sum":59311,"residue":435}],"minimal_cycle":[50,435,409,76,409,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[29,208],"circle_positions":718,"cycle_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":[30,209,388,567,746,925],"clock_positions":[30,209,388,567,746,925],"native_values":[596,69,237,428,237,69],"rotation_degrees":10.05586592178771,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[596,69,237,428,237,69],"beta":{"interval_sums":[67397,64768,65961,63691,62012,59383],"interval_residues":[623,148,623,507,264,507],"display_cycle":[623,148,623,507,264,507],"intervals":[{"from_index":30,"to_index":209,"sum":67397,"residue":623},{"from_index":209,"to_index":388,"sum":64768,"residue":148},{"from_index":388,"to_index":567,"sum":65961,"residue":623},{"from_index":567,"to_index":746,"sum":63691,"residue":507},{"from_index":746,"to_index":925,"sum":62012,"residue":264},{"from_index":925,"to_index":30,"sum":59383,"residue":507}],"minimal_cycle":[623,148,623,507,264,507],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":623,"start_interval_clock_positions":[30,209],"circle_positions":718,"cycle_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":[31,210,389,568,747,926],"clock_positions":[31,210,389,568,747,926],"native_values":[19,520,19,161,378,161],"rotation_degrees":10.391061452513966,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[19,520,19,161,378,161],"beta":{"interval_sums":[67447,64485,66370,63767,61703,59818],"interval_residues":[673,583,314,583,673,224],"display_cycle":[673,583,314,583,673,224],"intervals":[{"from_index":31,"to_index":210,"sum":67447,"residue":673},{"from_index":210,"to_index":389,"sum":64485,"residue":583},{"from_index":389,"to_index":568,"sum":66370,"residue":314},{"from_index":568,"to_index":747,"sum":63767,"residue":583},{"from_index":747,"to_index":926,"sum":61703,"residue":673},{"from_index":926,"to_index":31,"sum":59818,"residue":224}],"minimal_cycle":[673,583,314,583,673,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":673,"start_interval_clock_positions":[31,210],"circle_positions":718,"cycle_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":[32,211,390,569,748,927],"clock_positions":[32,211,390,569,748,927],"native_values":[615,589,256,589,615,230],"rotation_degrees":10.726256983240223,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,589,256,589,615,230],"beta":{"interval_sums":[67352,63915,66275,63556,61249,59607],"interval_residues":[578,13,219,372,219,13],"display_cycle":[578,13,219,372,219,13],"intervals":[{"from_index":32,"to_index":211,"sum":67352,"residue":578},{"from_index":211,"to_index":390,"sum":63915,"residue":13},{"from_index":390,"to_index":569,"sum":66275,"residue":219},{"from_index":569,"to_index":748,"sum":63556,"residue":372},{"from_index":748,"to_index":927,"sum":61249,"residue":219},{"from_index":927,"to_index":32,"sum":59607,"residue":13}],"minimal_cycle":[578,13,219,372,219,13],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[32,211],"circle_positions":718,"cycle_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":[33,212,391,570,749,928],"clock_positions":[33,212,391,570,749,928],"native_values":[634,391,275,32,275,391],"rotation_degrees":11.061452513966481,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,391,275,32,275,391],"beta":{"interval_sums":[67307,63780,66589,64139,61204,59831],"interval_residues":[533,596,533,237,174,237],"display_cycle":[533,596,533,237,174,237],"intervals":[{"from_index":33,"to_index":212,"sum":67307,"residue":533},{"from_index":212,"to_index":391,"sum":63780,"residue":596},{"from_index":391,"to_index":570,"sum":66589,"residue":533},{"from_index":570,"to_index":749,"sum":64139,"residue":237},{"from_index":749,"to_index":928,"sum":61204,"residue":174},{"from_index":928,"to_index":33,"sum":59831,"residue":237}],"minimal_cycle":[533,596,533,237,174,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":533,"start_interval_clock_positions":[33,212],"circle_positions":718,"cycle_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":[34,213,392,571,750,929],"clock_positions":[34,213,392,571,750,929],"native_values":[531,262,531,621,172,621],"rotation_degrees":11.396648044692737,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,262,531,621,172,621],"beta":{"interval_sums":[67167,63793,66090,63793,61423,59844],"interval_residues":[393,609,34,609,393,250],"display_cycle":[393,609,34,609,393,250],"intervals":[{"from_index":34,"to_index":213,"sum":67167,"residue":393},{"from_index":213,"to_index":392,"sum":63793,"residue":609},{"from_index":392,"to_index":571,"sum":66090,"residue":34},{"from_index":571,"to_index":750,"sum":63793,"residue":609},{"from_index":750,"to_index":929,"sum":61423,"residue":393},{"from_index":929,"to_index":34,"sum":59844,"residue":250}],"minimal_cycle":[393,609,34,609,393,250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[34,213],"circle_positions":718,"cycle_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":[35,214,393,572,751,930],"clock_positions":[35,214,393,572,751,930],"native_values":[447,653,88,653,447,294],"rotation_degrees":11.731843575418994,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[447,653,88,653,447,294],"beta":{"interval_sums":[66982,63671,66623,63312,61597,60081],"interval_residues":[208,487,567,128,567,487],"display_cycle":[208,487,567,128,567,487],"intervals":[{"from_index":35,"to_index":214,"sum":66982,"residue":208},{"from_index":214,"to_index":393,"sum":63671,"residue":487},{"from_index":393,"to_index":572,"sum":66623,"residue":567},{"from_index":572,"to_index":751,"sum":63312,"residue":128},{"from_index":751,"to_index":930,"sum":61597,"residue":567},{"from_index":930,"to_index":35,"sum":60081,"residue":487}],"minimal_cycle":[208,487,567,128,567,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":208,"start_interval_clock_positions":[35,214],"circle_positions":718,"cycle_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":[36,215,394,573,752,931],"clock_positions":[36,215,394,573,752,931],"native_values":[260,197,619,556,619,197],"rotation_degrees":12.067039106145252,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[260,197,619,556,619,197],"beta":{"interval_sums":[67375,63562,66657,63203,61272,60331],"interval_residues":[601,378,601,19,242,19],"display_cycle":[601,378,601,19,242,19],"intervals":[{"from_index":36,"to_index":215,"sum":67375,"residue":601},{"from_index":215,"to_index":394,"sum":63562,"residue":378},{"from_index":394,"to_index":573,"sum":66657,"residue":601},{"from_index":573,"to_index":752,"sum":63203,"residue":19},{"from_index":752,"to_index":931,"sum":61272,"residue":242},{"from_index":931,"to_index":36,"sum":60331,"residue":19}],"minimal_cycle":[601,378,601,19,242,19],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[36,215],"circle_positions":718,"cycle_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":[37,216,395,574,753,932],"clock_positions":[37,216,395,574,753,932],"native_values":[707,132,707,491,348,491],"rotation_degrees":12.402234636871508,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[707,132,707,491,348,491],"beta":{"interval_sums":[66865,64049,66506,63331,61121,60100],"interval_residues":[91,147,450,147,91,506],"display_cycle":[91,147,450,147,91,506],"intervals":[{"from_index":37,"to_index":216,"sum":66865,"residue":91},{"from_index":216,"to_index":395,"sum":64049,"residue":147},{"from_index":395,"to_index":574,"sum":66506,"residue":450},{"from_index":574,"to_index":753,"sum":63331,"residue":147},{"from_index":753,"to_index":932,"sum":61121,"residue":91},{"from_index":932,"to_index":37,"sum":60100,"residue":506}],"minimal_cycle":[91,147,450,147,91,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":91,"start_interval_clock_positions":[37,216],"circle_positions":718,"cycle_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":[38,217,396,575,754,933],"clock_positions":[38,217,396,575,754,933],"native_values":[249,329,608,329,249,688],"rotation_degrees":12.737430167597765,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,329,608,329,249,688],"beta":{"interval_sums":[66748,64427,66389,63350,61363,60119],"interval_residues":[692,525,333,166,333,525],"display_cycle":[692,525,333,166,333,525],"intervals":[{"from_index":38,"to_index":217,"sum":66748,"residue":692},{"from_index":217,"to_index":396,"sum":64427,"residue":525},{"from_index":396,"to_index":575,"sum":66389,"residue":333},{"from_index":575,"to_index":754,"sum":63350,"residue":166},{"from_index":754,"to_index":933,"sum":61363,"residue":333},{"from_index":933,"to_index":38,"sum":60119,"residue":525}],"minimal_cycle":[692,525,333,166,333,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":692,"start_interval_clock_positions":[38,217],"circle_positions":718,"cycle_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":[39,218,397,576,755,934],"clock_positions":[39,218,397,576,755,934],"native_values":[238,461,597,102,597,461],"rotation_degrees":13.072625698324023,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[238,461,597,102,597,461],"beta":{"interval_sums":[66839,64574,66121,63497,61454,59907],"interval_residues":[65,672,65,313,424,313],"display_cycle":[65,672,65,313,424,313],"intervals":[{"from_index":39,"to_index":218,"sum":66839,"residue":65},{"from_index":218,"to_index":397,"sum":64574,"residue":672},{"from_index":397,"to_index":576,"sum":66121,"residue":65},{"from_index":576,"to_index":755,"sum":63497,"residue":313},{"from_index":755,"to_index":934,"sum":61454,"residue":424},{"from_index":934,"to_index":39,"sum":59907,"residue":313}],"minimal_cycle":[65,672,65,313,424,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":65,"start_interval_clock_positions":[39,218],"circle_positions":718,"cycle_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":[40,219,398,577,756,935],"clock_positions":[40,219,398,577,756,935],"native_values":[487,72,487,431,128,431],"rotation_degrees":13.40782122905028,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,72,487,431,128,431],"beta":{"interval_sums":[66813,65099,65736,63663,61787,59714],"interval_residues":[39,479,398,479,39,120],"display_cycle":[39,479,398,479,39,120],"intervals":[{"from_index":40,"to_index":219,"sum":66813,"residue":39},{"from_index":219,"to_index":398,"sum":65099,"residue":479},{"from_index":398,"to_index":577,"sum":65736,"residue":398},{"from_index":577,"to_index":756,"sum":63663,"residue":479},{"from_index":756,"to_index":935,"sum":61787,"residue":39},{"from_index":935,"to_index":40,"sum":59714,"residue":120}],"minimal_cycle":[39,479,398,479,39,120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[40,219],"circle_positions":718,"cycle_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":[41,220,399,578,757,936],"clock_positions":[41,220,399,578,757,936],"native_values":[7,533,366,533,7,174],"rotation_degrees":13.743016759776536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,533,366,533,7,174],"beta":{"interval_sums":[66878,65053,65801,63258,62211,60027],"interval_residues":[104,433,463,74,463,433],"display_cycle":[104,433,463,74,463,433],"intervals":[{"from_index":41,"to_index":220,"sum":66878,"residue":104},{"from_index":220,"to_index":399,"sum":65053,"residue":433},{"from_index":399,"to_index":578,"sum":65801,"residue":463},{"from_index":578,"to_index":757,"sum":63258,"residue":74},{"from_index":757,"to_index":936,"sum":62211,"residue":463},{"from_index":936,"to_index":41,"sum":60027,"residue":433}],"minimal_cycle":[104,433,463,74,463,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[41,220],"circle_positions":718,"cycle_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":[42,221,400,579,758,937],"clock_positions":[42,221,400,579,758,937],"native_values":[494,605,135,246,135,605],"rotation_degrees":14.078212290502794,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[494,605,135,246,135,605],"beta":{"interval_sums":[66917,64814,66199,63019,62250,59429],"interval_residues":[143,194,143,553,502,553],"display_cycle":[143,194,143,553,502,553],"intervals":[{"from_index":42,"to_index":221,"sum":66917,"residue":143},{"from_index":221,"to_index":400,"sum":64814,"residue":194},{"from_index":400,"to_index":579,"sum":66199,"residue":143},{"from_index":579,"to_index":758,"sum":63019,"residue":553},{"from_index":758,"to_index":937,"sum":62250,"residue":502},{"from_index":937,"to_index":42,"sum":59429,"residue":553}],"minimal_cycle":[143,194,143,553,502,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[42,221],"circle_positions":718,"cycle_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":[43,222,401,580,759,938],"clock_positions":[43,222,401,580,759,938],"native_values":[501,420,501,61,142,61],"rotation_degrees":14.41340782122905,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[501,420,501,61,142,61],"beta":{"interval_sums":[67021,64529,65944,63093,62713,59862],"interval_residues":[247,627,606,627,247,268],"display_cycle":[247,627,606,627,247,268],"intervals":[{"from_index":43,"to_index":222,"sum":67021,"residue":247},{"from_index":222,"to_index":401,"sum":64529,"residue":627},{"from_index":401,"to_index":580,"sum":65944,"residue":606},{"from_index":580,"to_index":759,"sum":63093,"residue":627},{"from_index":759,"to_index":938,"sum":62713,"residue":247},{"from_index":938,"to_index":43,"sum":59862,"residue":268}],"minimal_cycle":[247,627,606,627,247,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":247,"start_interval_clock_positions":[43,222],"circle_positions":718,"cycle_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":[44,223,402,581,760,939],"clock_positions":[44,223,402,581,760,939],"native_values":[277,307,636,307,277,666],"rotation_degrees":14.748603351955307,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[277,307,636,307,277,666],"beta":{"interval_sums":[67164,64723,65369,62928,62497,59697],"interval_residues":[390,103,31,462,31,103],"display_cycle":[390,103,31,462,31,103],"intervals":[{"from_index":44,"to_index":223,"sum":67164,"residue":390},{"from_index":223,"to_index":402,"sum":64723,"residue":103},{"from_index":402,"to_index":581,"sum":65369,"residue":31},{"from_index":581,"to_index":760,"sum":62928,"residue":462},{"from_index":760,"to_index":939,"sum":62497,"residue":31},{"from_index":939,"to_index":44,"sum":59697,"residue":103}],"minimal_cycle":[390,103,31,462,31,103],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[44,223],"circle_positions":718,"cycle_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":[45,224,403,582,761,940],"clock_positions":[45,224,403,582,761,940],"native_values":[60,9,419,368,419,9],"rotation_degrees":15.083798882681565,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[60,9,419,368,419,9],"beta":{"interval_sums":[67411,65350,65257,62837,62744,59965],"interval_residues":[637,12,637,371,278,371],"display_cycle":[637,12,637,371,278,371],"intervals":[{"from_index":45,"to_index":224,"sum":67411,"residue":637},{"from_index":224,"to_index":403,"sum":65350,"residue":12},{"from_index":403,"to_index":582,"sum":65257,"residue":637},{"from_index":582,"to_index":761,"sum":62837,"residue":371},{"from_index":761,"to_index":940,"sum":62744,"residue":278},{"from_index":940,"to_index":45,"sum":59965,"residue":371}],"minimal_cycle":[637,12,637,371,278,371],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":637,"start_interval_clock_positions":[45,224],"circle_positions":718,"cycle_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":[46,225,404,583,762,941],"clock_positions":[46,225,404,583,762,941],"native_values":[337,316,337,675,696,675],"rotation_degrees":15.418994413407821,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[337,316,337,675,696,675],"beta":{"interval_sums":[67083,65453,65288,62581,62057,59350],"interval_residues":[309,115,668,115,309,474],"display_cycle":[309,115,668,115,309,474],"intervals":[{"from_index":46,"to_index":225,"sum":67083,"residue":309},{"from_index":225,"to_index":404,"sum":65453,"residue":115},{"from_index":404,"to_index":583,"sum":65288,"residue":668},{"from_index":583,"to_index":762,"sum":62581,"residue":115},{"from_index":762,"to_index":941,"sum":62057,"residue":309},{"from_index":941,"to_index":46,"sum":59350,"residue":474}],"minimal_cycle":[309,115,668,115,309,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[46,225],"circle_positions":718,"cycle_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":[47,226,405,584,763,942],"clock_positions":[47,226,405,584,763,942],"native_values":[397,325,38,325,397,684],"rotation_degrees":15.754189944134078,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[397,325,38,325,397,684],"beta":{"interval_sums":[67002,65465,65925,62952,62335,59003],"interval_residues":[228,127,587,486,587,127],"display_cycle":[228,127,587,486,587,127],"intervals":[{"from_index":47,"to_index":226,"sum":67002,"residue":228},{"from_index":226,"to_index":405,"sum":65465,"residue":127},{"from_index":405,"to_index":584,"sum":65925,"residue":587},{"from_index":584,"to_index":763,"sum":62952,"residue":486},{"from_index":763,"to_index":942,"sum":62335,"residue":587},{"from_index":942,"to_index":47,"sum":59003,"residue":127}],"minimal_cycle":[228,127,587,486,587,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[47,226],"circle_positions":718,"cycle_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":[48,227,406,585,764,943],"clock_positions":[48,227,406,585,764,943],"native_values":[16,641,375,282,375,641],"rotation_degrees":16.089385474860336,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[16,641,375,282,375,641],"beta":{"interval_sums":[67311,64862,65875,63067,62644,58759],"interval_residues":[537,242,537,601,178,601],"display_cycle":[537,242,537,601,178,601],"intervals":[{"from_index":48,"to_index":227,"sum":67311,"residue":537},{"from_index":227,"to_index":406,"sum":64862,"residue":242},{"from_index":406,"to_index":585,"sum":65875,"residue":537},{"from_index":585,"to_index":764,"sum":63067,"residue":601},{"from_index":764,"to_index":943,"sum":62644,"residue":178},{"from_index":943,"to_index":48,"sum":58759,"residue":601}],"minimal_cycle":[537,242,537,601,178,601],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[48,227],"circle_positions":718,"cycle_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":[49,228,407,586,765,944],"clock_positions":[49,228,407,586,765,944],"native_values":[413,248,413,607,54,607],"rotation_degrees":16.424581005586592,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,248,413,607,54,607],"beta":{"interval_sums":[67539,64989,65744,62835,63231,58168],"interval_residues":[47,369,406,369,47,10],"display_cycle":[47,369,406,369,47,10],"intervals":[{"from_index":49,"to_index":228,"sum":67539,"residue":47},{"from_index":228,"to_index":407,"sum":64989,"residue":369},{"from_index":407,"to_index":586,"sum":65744,"residue":406},{"from_index":586,"to_index":765,"sum":62835,"residue":369},{"from_index":765,"to_index":944,"sum":63231,"residue":47},{"from_index":944,"to_index":49,"sum":58168,"residue":10}],"minimal_cycle":[47,369,406,369,47,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[49,228],"circle_positions":718,"cycle_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":[50,229,408,587,766,945],"clock_positions":[50,229,408,587,766,945],"native_values":[429,171,70,171,429,530],"rotation_degrees":16.75977653631285,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,171,70,171,429,530],"beta":{"interval_sums":[67358,65231,66281,62718,63409,58051],"interval_residues":[584,611,225,252,225,611],"display_cycle":[584,611,225,252,225,611],"intervals":[{"from_index":50,"to_index":229,"sum":67358,"residue":584},{"from_index":229,"to_index":408,"sum":65231,"residue":611},{"from_index":408,"to_index":587,"sum":66281,"residue":225},{"from_index":587,"to_index":766,"sum":62718,"residue":252},{"from_index":766,"to_index":945,"sum":63409,"residue":225},{"from_index":945,"to_index":50,"sum":58051,"residue":611}],"minimal_cycle":[584,611,225,252,225,611],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[50,229],"circle_positions":718,"cycle_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":[51,230,409,588,767,946],"clock_positions":[51,230,409,588,767,946],"native_values":[124,419,483,60,483,419],"rotation_degrees":17.094972067039105,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[124,419,483,60,483,419],"beta":{"interval_sums":[67405,64882,65969,63087,63456,58061],"interval_residues":[631,262,631,621,272,621],"display_cycle":[631,262,631,621,272,621],"intervals":[{"from_index":51,"to_index":230,"sum":67405,"residue":631},{"from_index":230,"to_index":409,"sum":64882,"residue":262},{"from_index":409,"to_index":588,"sum":65969,"residue":631},{"from_index":588,"to_index":767,"sum":63087,"residue":621},{"from_index":767,"to_index":946,"sum":63456,"residue":272},{"from_index":946,"to_index":51,"sum":58061,"residue":621}],"minimal_cycle":[631,262,631,621,272,621],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":631,"start_interval_clock_positions":[51,230],"circle_positions":718,"cycle_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":[52,231,410,589,768,947],"clock_positions":[52,231,410,589,768,947],"native_values":[553,590,553,231,194,231],"rotation_degrees":17.43016759776536,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[553,590,553,231,194,231],"beta":{"interval_sums":[67271,64775,65476,63339,63681,57954],"interval_residues":[497,155,138,155,497,514],"display_cycle":[497,155,138,155,497,514],"intervals":[{"from_index":52,"to_index":231,"sum":67271,"residue":497},{"from_index":231,"to_index":410,"sum":64775,"residue":155},{"from_index":410,"to_index":589,"sum":65476,"residue":138},{"from_index":589,"to_index":768,"sum":63339,"residue":155},{"from_index":768,"to_index":947,"sum":63681,"residue":497},{"from_index":947,"to_index":52,"sum":57954,"residue":514}],"minimal_cycle":[497,155,138,155,497,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[52,231],"circle_positions":718,"cycle_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":[53,232,411,590,769,948],"clock_positions":[53,232,411,590,769,948],"native_values":[677,291,318,291,677,650],"rotation_degrees":17.76536312849162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,291,318,291,677,650],"beta":{"interval_sums":[67184,65037,65389,63242,63235,57857],"interval_residues":[410,417,51,58,51,417],"display_cycle":[410,417,51,58,51,417],"intervals":[{"from_index":53,"to_index":232,"sum":67184,"residue":410},{"from_index":232,"to_index":411,"sum":65037,"residue":417},{"from_index":411,"to_index":590,"sum":65389,"residue":51},{"from_index":590,"to_index":769,"sum":63242,"residue":58},{"from_index":769,"to_index":948,"sum":63235,"residue":51},{"from_index":948,"to_index":53,"sum":57857,"residue":417}],"minimal_cycle":[410,417,51,58,51,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[53,232],"circle_positions":718,"cycle_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":[54,233,412,591,770,949],"clock_positions":[54,233,412,591,770,949],"native_values":[512,163,153,522,153,163],"rotation_degrees":18.100558659217878,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,163,153,522,153,163],"beta":{"interval_sums":[66963,65192,65527,63397,63732,58371],"interval_residues":[189,572,189,213,548,213],"display_cycle":[189,572,189,213,548,213],"intervals":[{"from_index":54,"to_index":233,"sum":66963,"residue":189},{"from_index":233,"to_index":412,"sum":65192,"residue":572},{"from_index":412,"to_index":591,"sum":65527,"residue":189},{"from_index":591,"to_index":770,"sum":63397,"residue":213},{"from_index":770,"to_index":949,"sum":63732,"residue":548},{"from_index":949,"to_index":54,"sum":58371,"residue":213}],"minimal_cycle":[189,572,189,213,548,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":189,"start_interval_clock_positions":[54,233],"circle_positions":718,"cycle_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":[55,234,413,592,771,950],"clock_positions":[55,234,413,592,771,950],"native_values":[471,454,471,95,112,95],"rotation_degrees":18.435754189944134,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[471,454,471,95,112,95],"beta":{"interval_sums":[66655,64891,65578,63455,63783,58788],"interval_residues":[599,271,240,271,599,630],"display_cycle":[599,271,240,271,599,630],"intervals":[{"from_index":55,"to_index":234,"sum":66655,"residue":599},{"from_index":234,"to_index":413,"sum":64891,"residue":271},{"from_index":413,"to_index":592,"sum":65578,"residue":240},{"from_index":592,"to_index":771,"sum":63455,"residue":271},{"from_index":771,"to_index":950,"sum":63783,"residue":599},{"from_index":950,"to_index":55,"sum":58788,"residue":630}],"minimal_cycle":[599,271,240,271,599,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[55,234],"circle_positions":718,"cycle_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":[56,235,414,593,772,951],"clock_positions":[56,235,414,593,772,951],"native_values":[265,617,624,617,265,258],"rotation_degrees":18.77094972067039,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,617,624,617,265,258],"beta":{"interval_sums":[66844,64745,65049,62950,63613,59001],"interval_residues":[70,125,429,484,429,125],"display_cycle":[70,125,429,484,429,125],"intervals":[{"from_index":56,"to_index":235,"sum":66844,"residue":70},{"from_index":235,"to_index":414,"sum":64745,"residue":125},{"from_index":414,"to_index":593,"sum":65049,"residue":429},{"from_index":593,"to_index":772,"sum":62950,"residue":484},{"from_index":772,"to_index":951,"sum":63613,"residue":429},{"from_index":951,"to_index":56,"sum":59001,"residue":125}],"minimal_cycle":[70,125,429,484,429,125],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[56,235],"circle_positions":718,"cycle_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":[57,236,415,594,773,952],"clock_positions":[57,236,415,594,773,952],"native_values":[18,353,377,712,377,353],"rotation_degrees":19.106145251396647,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[18,353,377,712,377,353],"beta":{"interval_sums":[67443,65016,65289,62503,63494,58913],"interval_residues":[669,396,669,37,310,37],"display_cycle":[669,396,669,37,310,37],"intervals":[{"from_index":57,"to_index":236,"sum":67443,"residue":669},{"from_index":236,"to_index":415,"sum":65016,"residue":396},{"from_index":415,"to_index":594,"sum":65289,"residue":669},{"from_index":594,"to_index":773,"sum":62503,"residue":37},{"from_index":773,"to_index":952,"sum":63494,"residue":310},{"from_index":952,"to_index":57,"sum":58913,"residue":37}],"minimal_cycle":[669,396,669,37,310,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[57,236],"circle_positions":718,"cycle_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":[58,237,416,595,774,953],"clock_positions":[58,237,416,595,774,953],"native_values":[283,252,283,611,642,611],"rotation_degrees":19.441340782122904,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[283,252,283,611,642,611],"beta":{"interval_sums":[67513,65141,65718,62269,63205,58320],"interval_residues":[21,521,380,521,21,162],"display_cycle":[21,521,380,521,21,162],"intervals":[{"from_index":58,"to_index":237,"sum":67513,"residue":21},{"from_index":237,"to_index":416,"sum":65141,"residue":521},{"from_index":416,"to_index":595,"sum":65718,"residue":380},{"from_index":595,"to_index":774,"sum":62269,"residue":521},{"from_index":774,"to_index":953,"sum":63205,"residue":21},{"from_index":953,"to_index":58,"sum":58320,"residue":162}],"minimal_cycle":[21,521,380,521,21,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[58,237],"circle_positions":718,"cycle_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":[59,238,417,596,775,954],"clock_positions":[59,238,417,596,775,954],"native_values":[301,605,660,605,301,246],"rotation_degrees":19.776536312849164,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,605,660,605,301,246],"beta":{"interval_sums":[67464,64819,65669,62306,63515,58357],"interval_residues":[690,199,331,558,331,199],"display_cycle":[690,199,331,558,331,199],"intervals":[{"from_index":59,"to_index":238,"sum":67464,"residue":690},{"from_index":238,"to_index":417,"sum":64819,"residue":199},{"from_index":417,"to_index":596,"sum":65669,"residue":331},{"from_index":596,"to_index":775,"sum":62306,"residue":558},{"from_index":775,"to_index":954,"sum":63515,"residue":331},{"from_index":954,"to_index":59,"sum":58357,"residue":199}],"minimal_cycle":[690,199,331,558,331,199],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[59,238],"circle_positions":718,"cycle_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":[60,239,418,597,776,955],"clock_positions":[60,239,418,597,776,955],"native_values":[584,139,225,498,225,139],"rotation_degrees":20.11173184357542,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,139,225,498,225,139],"beta":{"interval_sums":[67485,65340,66049,62109,63536,58519],"interval_residues":[711,2,711,361,352,361],"display_cycle":[711,2,711,361,352,361],"intervals":[{"from_index":60,"to_index":239,"sum":67485,"residue":711},{"from_index":239,"to_index":418,"sum":65340,"residue":2},{"from_index":418,"to_index":597,"sum":66049,"residue":711},{"from_index":597,"to_index":776,"sum":62109,"residue":361},{"from_index":776,"to_index":955,"sum":63536,"residue":352},{"from_index":955,"to_index":60,"sum":58519,"residue":361}],"minimal_cycle":[711,2,711,361,352,361],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[60,239],"circle_positions":718,"cycle_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":[61,240,419,598,777,956],"clock_positions":[61,240,419,598,777,956],"native_values":[167,26,167,385,526,385],"rotation_degrees":20.446927374301676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[167,26,167,385,526,385],"beta":{"interval_sums":[67457,65539,66380,61949,63149,58718],"interval_residues":[683,201,324,201,683,560],"display_cycle":[683,201,324,201,683,560],"intervals":[{"from_index":61,"to_index":240,"sum":67457,"residue":683},{"from_index":240,"to_index":419,"sum":65539,"residue":201},{"from_index":419,"to_index":598,"sum":66380,"residue":324},{"from_index":598,"to_index":777,"sum":61949,"residue":201},{"from_index":777,"to_index":956,"sum":63149,"residue":683},{"from_index":956,"to_index":61,"sum":58718,"residue":560}],"minimal_cycle":[683,201,324,201,683,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":683,"start_interval_clock_positions":[61,240],"circle_positions":718,"cycle_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":[62,241,420,599,778,957],"clock_positions":[62,241,420,599,778,957],"native_values":[33,165,392,165,33,524],"rotation_degrees":20.782122905027933,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,165,392,165,33,524],"beta":{"interval_sums":[67450,65541,66373,62310,63501,58361],"interval_residues":[676,203,317,562,317,203],"display_cycle":[676,203,317,562,317,203],"intervals":[{"from_index":62,"to_index":241,"sum":67450,"residue":676},{"from_index":241,"to_index":420,"sum":65541,"residue":203},{"from_index":420,"to_index":599,"sum":66373,"residue":317},{"from_index":599,"to_index":778,"sum":62310,"residue":562},{"from_index":778,"to_index":957,"sum":63501,"residue":317},{"from_index":957,"to_index":62,"sum":58361,"residue":203}],"minimal_cycle":[676,203,317,562,317,203],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":676,"start_interval_clock_positions":[62,241],"circle_positions":718,"cycle_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":[63,242,421,600,779,958],"clock_positions":[63,242,421,600,779,958],"native_values":[200,191,559,550,559,191],"rotation_degrees":21.11731843575419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,191,559,550,559,191],"beta":{"interval_sums":[67415,65742,65979,61793,63466,58203],"interval_residues":[641,404,641,45,282,45],"display_cycle":[641,404,641,45,282,45],"intervals":[{"from_index":63,"to_index":242,"sum":67415,"residue":641},{"from_index":242,"to_index":421,"sum":65742,"residue":404},{"from_index":421,"to_index":600,"sum":65979,"residue":641},{"from_index":600,"to_index":779,"sum":61793,"residue":45},{"from_index":779,"to_index":958,"sum":63466,"residue":282},{"from_index":958,"to_index":63,"sum":58203,"residue":45}],"minimal_cycle":[641,404,641,45,282,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[63,242],"circle_positions":718,"cycle_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":[64,243,422,601,780,959],"clock_positions":[64,243,422,601,780,959],"native_values":[233,356,233,715,592,715],"rotation_degrees":21.452513966480446,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,356,233,715,592,715],"beta":{"interval_sums":[67373,65945,66296,61637,63065,57688],"interval_residues":[599,607,240,607,599,248],"display_cycle":[599,607,240,607,599,248],"intervals":[{"from_index":64,"to_index":243,"sum":67373,"residue":599},{"from_index":243,"to_index":422,"sum":65945,"residue":607},{"from_index":422,"to_index":601,"sum":66296,"residue":240},{"from_index":601,"to_index":780,"sum":61637,"residue":607},{"from_index":780,"to_index":959,"sum":63065,"residue":599},{"from_index":959,"to_index":64,"sum":57688,"residue":248}],"minimal_cycle":[599,607,240,607,599,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[64,243],"circle_positions":718,"cycle_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":[65,244,423,602,781,960],"clock_positions":[65,244,423,602,781,960],"native_values":[433,547,74,547,433,188],"rotation_degrees":21.787709497206706,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,547,74,547,433,188],"beta":{"interval_sums":[67296,65631,66937,61682,63347,57733],"interval_residues":[522,293,163,652,163,293],"display_cycle":[522,293,163,652,163,293],"intervals":[{"from_index":65,"to_index":244,"sum":67296,"residue":522},{"from_index":244,"to_index":423,"sum":65631,"residue":293},{"from_index":423,"to_index":602,"sum":66937,"residue":163},{"from_index":602,"to_index":781,"sum":61682,"residue":652},{"from_index":781,"to_index":960,"sum":63347,"residue":163},{"from_index":960,"to_index":65,"sum":57733,"residue":293}],"minimal_cycle":[522,293,163,652,163,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[65,244],"circle_positions":718,"cycle_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":[66,245,424,603,782,961],"clock_positions":[66,245,424,603,782,961],"native_values":[666,185,307,544,307,185],"rotation_degrees":22.122905027932962,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,185,307,544,307,185],"beta":{"interval_sums":[67177,65520,67177,61571,63228,57981],"interval_residues":[403,182,403,541,44,541],"display_cycle":[403,182,403,541,44,541],"intervals":[{"from_index":66,"to_index":245,"sum":67177,"residue":403},{"from_index":245,"to_index":424,"sum":65520,"residue":182},{"from_index":424,"to_index":603,"sum":67177,"residue":403},{"from_index":603,"to_index":782,"sum":61571,"residue":541},{"from_index":782,"to_index":961,"sum":63228,"residue":44},{"from_index":961,"to_index":66,"sum":57981,"residue":541}],"minimal_cycle":[403,182,403,541,44,541],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[66,245],"circle_positions":718,"cycle_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":[67,246,425,604,783,962],"clock_positions":[67,246,425,604,783,962],"native_values":[381,14,381,373,22,373],"rotation_degrees":22.45810055865922,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,14,381,373,22,373],"beta":{"interval_sums":[66981,65813,67340,61505,63391,58274],"interval_residues":[207,475,566,475,207,116],"display_cycle":[207,475,566,475,207,116],"intervals":[{"from_index":67,"to_index":246,"sum":66981,"residue":207},{"from_index":246,"to_index":425,"sum":65813,"residue":475},{"from_index":425,"to_index":604,"sum":67340,"residue":566},{"from_index":604,"to_index":783,"sum":61505,"residue":475},{"from_index":783,"to_index":962,"sum":63391,"residue":207},{"from_index":962,"to_index":67,"sum":58274,"residue":116}],"minimal_cycle":[207,475,566,475,207,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":207,"start_interval_clock_positions":[67,246],"circle_positions":718,"cycle_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":[68,247,426,605,784,963],"clock_positions":[68,247,426,605,784,963],"native_values":[329,199,688,199,329,558],"rotation_degrees":22.793296089385475,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,199,688,199,329,558],"beta":{"interval_sums":[66666,65995,67025,61328,63435,58097],"interval_residues":[610,657,251,298,251,657],"display_cycle":[610,657,251,298,251,657],"intervals":[{"from_index":68,"to_index":247,"sum":66666,"residue":610},{"from_index":247,"to_index":426,"sum":65995,"residue":657},{"from_index":426,"to_index":605,"sum":67025,"residue":251},{"from_index":605,"to_index":784,"sum":61328,"residue":298},{"from_index":784,"to_index":963,"sum":63435,"residue":251},{"from_index":963,"to_index":68,"sum":58097,"residue":657}],"minimal_cycle":[610,657,251,298,251,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[68,247],"circle_positions":718,"cycle_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":[69,248,427,606,785,964],"clock_positions":[69,248,427,606,785,964],"native_values":[710,213,351,572,351,213],"rotation_degrees":23.12849162011173,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[710,213,351,572,351,213],"beta":{"interval_sums":[66155,66470,66873,61085,63642,58213],"interval_residues":[99,414,99,55,458,55],"display_cycle":[99,414,99,55,458,55],"intervals":[{"from_index":69,"to_index":248,"sum":66155,"residue":99},{"from_index":248,"to_index":427,"sum":66470,"residue":414},{"from_index":427,"to_index":606,"sum":66873,"residue":99},{"from_index":606,"to_index":785,"sum":61085,"residue":55},{"from_index":785,"to_index":964,"sum":63642,"residue":458},{"from_index":964,"to_index":69,"sum":58213,"residue":55}],"minimal_cycle":[99,414,99,55,458,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":99,"start_interval_clock_positions":[69,248],"circle_positions":718,"cycle_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":[70,249,428,607,786,965],"clock_positions":[70,249,428,607,786,965],"native_values":[321,412,321,53,680,53],"rotation_degrees":23.463687150837988,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,412,321,53,680,53],"beta":{"interval_sums":[66047,66409,67124,61383,63175,58870],"interval_residues":[709,353,350,353,709,712],"display_cycle":[709,353,350,353,709,712],"intervals":[{"from_index":70,"to_index":249,"sum":66047,"residue":709},{"from_index":249,"to_index":428,"sum":66409,"residue":353},{"from_index":428,"to_index":607,"sum":67124,"residue":350},{"from_index":607,"to_index":786,"sum":61383,"residue":353},{"from_index":786,"to_index":965,"sum":63175,"residue":709},{"from_index":965,"to_index":70,"sum":58870,"residue":712}],"minimal_cycle":[709,353,350,353,709,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":709,"start_interval_clock_positions":[70,249],"circle_positions":718,"cycle_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":[71,250,429,608,787,966],"clock_positions":[71,250,429,608,787,966],"native_values":[313,625,672,625,313,266],"rotation_degrees":23.798882681564248,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,625,672,625,313,266],"beta":{"interval_sums":[66146,66105,66505,61438,62915,58925],"interval_residues":[90,49,449,408,449,49],"display_cycle":[90,49,449,408,449,49],"intervals":[{"from_index":71,"to_index":250,"sum":66146,"residue":90},{"from_index":250,"to_index":429,"sum":66105,"residue":49},{"from_index":429,"to_index":608,"sum":66505,"residue":449},{"from_index":608,"to_index":787,"sum":61438,"residue":408},{"from_index":787,"to_index":966,"sum":62915,"residue":449},{"from_index":966,"to_index":71,"sum":58925,"residue":49}],"minimal_cycle":[90,49,449,408,449,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[71,250],"circle_positions":718,"cycle_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":[72,251,430,609,788,967],"clock_positions":[72,251,430,609,788,967],"native_values":[634,319,275,678,275,319],"rotation_degrees":24.134078212290504,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[634,319,275,678,275,319],"beta":{"interval_sums":[66137,66458,66855,61073,62906,58919],"interval_residues":[81,402,81,43,440,43],"display_cycle":[81,402,81,43,440,43],"intervals":[{"from_index":72,"to_index":251,"sum":66137,"residue":81},{"from_index":251,"to_index":430,"sum":66458,"residue":402},{"from_index":430,"to_index":609,"sum":66855,"residue":81},{"from_index":609,"to_index":788,"sum":61073,"residue":43},{"from_index":788,"to_index":967,"sum":62906,"residue":440},{"from_index":967,"to_index":72,"sum":58919,"residue":43}],"minimal_cycle":[81,402,81,43,440,43],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":81,"start_interval_clock_positions":[72,251],"circle_positions":718,"cycle_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":[73,252,431,610,789,968],"clock_positions":[73,252,431,610,789,968],"native_values":[229,226,229,585,588,585],"rotation_degrees":24.46927374301676,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[229,226,229,585,588,585],"beta":{"interval_sums":[66227,66507,67304,60763,62637,58968],"interval_residues":[171,451,530,451,171,92],"display_cycle":[171,451,530,451,171,92],"intervals":[{"from_index":73,"to_index":252,"sum":66227,"residue":171},{"from_index":252,"to_index":431,"sum":66507,"residue":451},{"from_index":431,"to_index":610,"sum":67304,"residue":530},{"from_index":610,"to_index":789,"sum":60763,"residue":451},{"from_index":789,"to_index":968,"sum":62637,"residue":171},{"from_index":968,"to_index":73,"sum":58968,"residue":92}],"minimal_cycle":[171,451,530,451,171,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":171,"start_interval_clock_positions":[73,252],"circle_positions":718,"cycle_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":[74,253,432,611,790,969],"clock_positions":[74,253,432,611,790,969],"native_values":[145,545,504,545,145,186],"rotation_degrees":24.804469273743017,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[145,545,504,545,145,186],"beta":{"interval_sums":[66308,66191,67385,60806,63077,59011],"interval_residues":[252,135,611,494,611,135],"display_cycle":[252,135,611,494,611,135],"intervals":[{"from_index":74,"to_index":253,"sum":66308,"residue":252},{"from_index":253,"to_index":432,"sum":66191,"residue":135},{"from_index":432,"to_index":611,"sum":67385,"residue":611},{"from_index":611,"to_index":790,"sum":60806,"residue":494},{"from_index":790,"to_index":969,"sum":63077,"residue":611},{"from_index":969,"to_index":74,"sum":59011,"residue":135}],"minimal_cycle":[252,135,611,494,611,135],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[74,253],"circle_positions":718,"cycle_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":[75,254,433,612,791,970],"clock_positions":[75,254,433,612,791,970],"native_values":[374,53,15,412,15,53],"rotation_degrees":25.139664804469273,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[374,53,15,412,15,53],"beta":{"interval_sums":[66479,66642,67915,60539,63248,59103],"interval_residues":[423,586,423,227,64,227],"display_cycle":[423,586,423,227,64,227],"intervals":[{"from_index":75,"to_index":254,"sum":66479,"residue":423},{"from_index":254,"to_index":433,"sum":66642,"residue":586},{"from_index":433,"to_index":612,"sum":67915,"residue":423},{"from_index":612,"to_index":791,"sum":60539,"residue":227},{"from_index":791,"to_index":970,"sum":63248,"residue":64},{"from_index":970,"to_index":75,"sum":59103,"residue":227}],"minimal_cycle":[423,586,423,227,64,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":423,"start_interval_clock_positions":[75,254],"circle_positions":718,"cycle_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":[76,255,434,613,792,971],"clock_positions":[76,255,434,613,792,971],"native_values":[519,598,519,239,160,239],"rotation_degrees":25.47486033519553,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[519,598,519,239,160,239],"beta":{"interval_sums":[66013,66059,67808,60315,63141,59238],"interval_residues":[675,3,316,3,675,362],"display_cycle":[675,3,316,3,675,362],"intervals":[{"from_index":76,"to_index":255,"sum":66013,"residue":675},{"from_index":255,"to_index":434,"sum":66059,"residue":3},{"from_index":434,"to_index":613,"sum":67808,"residue":316},{"from_index":613,"to_index":792,"sum":60315,"residue":3},{"from_index":792,"to_index":971,"sum":63141,"residue":675},{"from_index":971,"to_index":76,"sum":59238,"residue":362}],"minimal_cycle":[675,3,316,3,675,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[76,255],"circle_positions":718,"cycle_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":[77,256,435,614,793,972],"clock_positions":[77,256,435,614,793,972],"native_values":[175,651,534,651,175,292],"rotation_degrees":25.810055865921786,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[175,651,534,651,175,292],"beta":{"interval_sums":[66436,65927,67513,59824,63205,59465],"interval_residues":[380,589,21,230,21,589],"display_cycle":[380,589,21,230,21,589],"intervals":[{"from_index":77,"to_index":256,"sum":66436,"residue":380},{"from_index":256,"to_index":435,"sum":65927,"residue":589},{"from_index":435,"to_index":614,"sum":67513,"residue":21},{"from_index":614,"to_index":793,"sum":59824,"residue":230},{"from_index":793,"to_index":972,"sum":63205,"residue":21},{"from_index":972,"to_index":77,"sum":59465,"residue":589}],"minimal_cycle":[380,589,21,230,21,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[77,256],"circle_positions":718,"cycle_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":[78,257,436,615,794,973],"clock_positions":[78,257,436,615,794,973],"native_values":[694,531,335,172,335,531],"rotation_degrees":26.145251396648046,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[694,531,335,172,335,531],"beta":{"interval_sums":[66393,65930,67829,59827,63162,59109],"interval_residues":[337,592,337,233,696,233],"display_cycle":[337,592,337,233,696,233],"intervals":[{"from_index":78,"to_index":257,"sum":66393,"residue":337},{"from_index":257,"to_index":436,"sum":65930,"residue":592},{"from_index":436,"to_index":615,"sum":67829,"residue":337},{"from_index":615,"to_index":794,"sum":59827,"residue":233},{"from_index":794,"to_index":973,"sum":63162,"residue":696},{"from_index":973,"to_index":78,"sum":59109,"residue":233}],"minimal_cycle":[337,592,337,233,696,233],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":337,"start_interval_clock_positions":[78,257],"circle_positions":718,"cycle_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":[79,258,437,616,795,974],"clock_positions":[79,258,437,616,795,974],"native_values":[151,464,151,105,510,105],"rotation_degrees":26.480446927374302,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,464,151,105,510,105],"beta":{"interval_sums":[66773,65801,67850,60057,63183,59698],"interval_residues":[717,463,358,463,717,104],"display_cycle":[717,463,358,463,717,104],"intervals":[{"from_index":79,"to_index":258,"sum":66773,"residue":717},{"from_index":258,"to_index":437,"sum":65801,"residue":463},{"from_index":437,"to_index":616,"sum":67850,"residue":358},{"from_index":616,"to_index":795,"sum":60057,"residue":463},{"from_index":795,"to_index":974,"sum":63183,"residue":717},{"from_index":974,"to_index":79,"sum":59698,"residue":104}],"minimal_cycle":[717,463,358,463,717,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[79,258],"circle_positions":718,"cycle_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":[80,259,438,617,796,975],"clock_positions":[80,259,438,617,796,975],"native_values":[127,277,486,277,127,636],"rotation_degrees":26.81564245810056,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[127,277,486,277,127,636],"beta":{"interval_sums":[67110,65675,67469,60290,63161,59213],"interval_residues":[336,337,695,696,695,337],"display_cycle":[336,337,695,696,695,337],"intervals":[{"from_index":80,"to_index":259,"sum":67110,"residue":336},{"from_index":259,"to_index":438,"sum":65675,"residue":337},{"from_index":438,"to_index":617,"sum":67469,"residue":695},{"from_index":617,"to_index":796,"sum":60290,"residue":696},{"from_index":796,"to_index":975,"sum":63161,"residue":695},{"from_index":975,"to_index":80,"sum":59213,"residue":337}],"minimal_cycle":[336,337,695,696,695,337],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":336,"start_interval_clock_positions":[80,259],"circle_positions":718,"cycle_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":[81,260,439,618,797,976],"clock_positions":[81,260,439,618,797,976],"native_values":[278,23,637,382,637,23],"rotation_degrees":27.150837988826815,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[278,23,637,382,637,23],"beta":{"interval_sums":[67109,66138,67109,60035,63160,59317],"interval_residues":[335,82,335,441,694,441],"display_cycle":[335,82,335,441,694,441],"intervals":[{"from_index":81,"to_index":260,"sum":67109,"residue":335},{"from_index":260,"to_index":439,"sum":66138,"residue":82},{"from_index":439,"to_index":618,"sum":67109,"residue":335},{"from_index":618,"to_index":797,"sum":60035,"residue":441},{"from_index":797,"to_index":976,"sum":63160,"residue":694},{"from_index":976,"to_index":81,"sum":59317,"residue":441}],"minimal_cycle":[335,82,335,441,694,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":335,"start_interval_clock_positions":[81,260],"circle_positions":718,"cycle_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":[82,261,440,619,798,977],"clock_positions":[82,261,440,619,798,977],"native_values":[405,300,405,659,46,659],"rotation_degrees":27.48603351955307,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[405,300,405,659,46,659],"beta":{"interval_sums":[66727,66475,67086,60013,63137,58936],"interval_residues":[671,419,312,419,671,60],"display_cycle":[671,419,312,419,671,60],"intervals":[{"from_index":82,"to_index":261,"sum":66727,"residue":671},{"from_index":261,"to_index":440,"sum":66475,"residue":419},{"from_index":440,"to_index":619,"sum":67086,"residue":312},{"from_index":619,"to_index":798,"sum":60013,"residue":419},{"from_index":798,"to_index":977,"sum":63137,"residue":671},{"from_index":977,"to_index":82,"sum":58936,"residue":60}],"minimal_cycle":[671,419,312,419,671,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[82,261],"circle_positions":718,"cycle_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":[83,262,441,620,799,978],"clock_positions":[83,262,441,620,799,978],"native_values":[683,323,324,323,683,682],"rotation_degrees":27.821229050279328,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[683,323,324,323,683,682],"beta":{"interval_sums":[66344,66557,67421,59736,63113,58659],"interval_residues":[288,501,647,142,647,501],"display_cycle":[288,501,647,142,647,501],"intervals":[{"from_index":83,"to_index":262,"sum":66344,"residue":288},{"from_index":262,"to_index":441,"sum":66557,"residue":501},{"from_index":441,"to_index":620,"sum":67421,"residue":647},{"from_index":620,"to_index":799,"sum":59736,"residue":142},{"from_index":799,"to_index":978,"sum":63113,"residue":647},{"from_index":978,"to_index":83,"sum":58659,"residue":501}],"minimal_cycle":[288,501,647,142,647,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":288,"start_interval_clock_positions":[83,262],"circle_positions":718,"cycle_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":[84,263,442,621,800,979],"clock_positions":[84,263,442,621,800,979],"native_values":[370,623,11,264,11,623],"rotation_degrees":28.156424581005588,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[370,623,11,264,11,623],"beta":{"interval_sums":[66297,66258,67733,60155,63784,58719],"interval_residues":[241,202,241,561,600,561],"display_cycle":[241,202,241,561,600,561],"intervals":[{"from_index":84,"to_index":263,"sum":66297,"residue":241},{"from_index":263,"to_index":442,"sum":66258,"residue":202},{"from_index":442,"to_index":621,"sum":67733,"residue":241},{"from_index":621,"to_index":800,"sum":60155,"residue":561},{"from_index":800,"to_index":979,"sum":63784,"residue":600},{"from_index":979,"to_index":84,"sum":58719,"residue":561}],"minimal_cycle":[241,202,241,561,600,561],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":241,"start_interval_clock_positions":[84,263],"circle_positions":718,"cycle_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":[85,264,443,622,801,980],"clock_positions":[85,264,443,622,801,980],"native_values":[335,228,335,587,694,587],"rotation_degrees":28.491620111731844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,228,335,587,694,587],"beta":{"interval_sums":[66585,66041,67662,59579,63713,58502],"interval_residues":[529,703,170,703,529,344],"display_cycle":[529,703,170,703,529,344],"intervals":[{"from_index":85,"to_index":264,"sum":66585,"residue":529},{"from_index":264,"to_index":443,"sum":66041,"residue":703},{"from_index":443,"to_index":622,"sum":67662,"residue":170},{"from_index":622,"to_index":801,"sum":59579,"residue":703},{"from_index":801,"to_index":980,"sum":63713,"residue":529},{"from_index":980,"to_index":85,"sum":58502,"residue":344}],"minimal_cycle":[529,703,170,703,529,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":529,"start_interval_clock_positions":[85,264],"circle_positions":718,"cycle_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":[86,265,444,623,802,981],"clock_positions":[86,265,444,623,802,981],"native_values":[705,133,346,133,705,492],"rotation_degrees":28.8268156424581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,133,346,133,705,492],"beta":{"interval_sums":[66108,66243,67903,60140,63595,58345],"interval_residues":[52,187,411,546,411,187],"display_cycle":[52,187,411,546,411,187],"intervals":[{"from_index":86,"to_index":265,"sum":66108,"residue":52},{"from_index":265,"to_index":444,"sum":66243,"residue":187},{"from_index":444,"to_index":623,"sum":67903,"residue":411},{"from_index":623,"to_index":802,"sum":60140,"residue":546},{"from_index":802,"to_index":981,"sum":63595,"residue":411},{"from_index":981,"to_index":86,"sum":58345,"residue":187}],"minimal_cycle":[52,187,411,546,411,187],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[86,265],"circle_positions":718,"cycle_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":[87,266,445,624,803,982],"clock_positions":[87,266,445,624,803,982],"native_values":[322,361,681,2,681,361],"rotation_degrees":29.162011173184357,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,361,681,2,681,361],"beta":{"interval_sums":[65919,66228,67355,60843,63406,58689],"interval_residues":[581,172,581,531,222,531],"display_cycle":[581,172,581,531,222,531],"intervals":[{"from_index":87,"to_index":266,"sum":65919,"residue":581},{"from_index":266,"to_index":445,"sum":66228,"residue":172},{"from_index":445,"to_index":624,"sum":67355,"residue":581},{"from_index":624,"to_index":803,"sum":60843,"residue":531},{"from_index":803,"to_index":982,"sum":63406,"residue":222},{"from_index":982,"to_index":87,"sum":58689,"residue":531}],"minimal_cycle":[581,172,581,531,222,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[87,266],"circle_positions":718,"cycle_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":[88,267,446,625,804,983],"clock_positions":[88,267,446,625,804,983],"native_values":[309,494,309,135,668,135],"rotation_degrees":29.497206703910614,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[309,494,309,135,668,135],"beta":{"interval_sums":[65971,66415,67048,61389,63099,58876],"interval_residues":[633,359,274,359,633,0],"display_cycle":[633,359,274,359,633,718],"intervals":[{"from_index":88,"to_index":267,"sum":65971,"residue":633},{"from_index":267,"to_index":446,"sum":66415,"residue":359},{"from_index":446,"to_index":625,"sum":67048,"residue":274},{"from_index":625,"to_index":804,"sum":61389,"residue":359},{"from_index":804,"to_index":983,"sum":63099,"residue":633},{"from_index":983,"to_index":88,"sum":58876,"residue":0}],"minimal_cycle":[633,359,274,359,633,0],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":633,"start_interval_clock_positions":[88,267],"circle_positions":718,"cycle_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":[89,268,447,626,805,984],"clock_positions":[89,268,447,626,805,984],"native_values":[631,137,272,137,631,496],"rotation_degrees":29.83240223463687,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[631,137,272,137,631,496],"beta":{"interval_sums":[65834,66587,66911,61920,62603,58689],"interval_residues":[496,531,137,172,137,531],"display_cycle":[496,531,137,172,137,531],"intervals":[{"from_index":89,"to_index":268,"sum":65834,"residue":496},{"from_index":268,"to_index":447,"sum":66587,"residue":531},{"from_index":447,"to_index":626,"sum":66911,"residue":137},{"from_index":626,"to_index":805,"sum":61920,"residue":172},{"from_index":805,"to_index":984,"sum":62603,"residue":137},{"from_index":984,"to_index":89,"sum":58689,"residue":531}],"minimal_cycle":[496,531,137,172,137,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":496,"start_interval_clock_positions":[89,268],"circle_positions":718,"cycle_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":[90,269,448,627,806,985],"clock_positions":[90,269,448,627,806,985],"native_values":[222,631,581,272,581,631],"rotation_degrees":30.16759776536313,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[222,631,581,272,581,631],"beta":{"interval_sums":[65749,66228,66467,62279,62518,58689],"interval_residues":[411,172,411,531,52,531],"display_cycle":[411,172,411,531,52,531],"intervals":[{"from_index":90,"to_index":269,"sum":65749,"residue":411},{"from_index":269,"to_index":448,"sum":66228,"residue":172},{"from_index":448,"to_index":627,"sum":66467,"residue":411},{"from_index":627,"to_index":806,"sum":62279,"residue":531},{"from_index":806,"to_index":985,"sum":62518,"residue":52},{"from_index":985,"to_index":90,"sum":58689,"residue":531}],"minimal_cycle":[411,172,411,531,52,531],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":411,"start_interval_clock_positions":[90,269],"circle_positions":718,"cycle_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":[91,270,449,628,807,986],"clock_positions":[91,270,449,628,807,986],"native_values":[135,50,135,409,494,409],"rotation_degrees":30.502793296089386,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,50,135,409,494,409],"beta":{"interval_sums":[66245,66759,66604,62451,62655,58502],"interval_residues":[189,703,548,703,189,344],"display_cycle":[189,703,548,703,189,344],"intervals":[{"from_index":91,"to_index":270,"sum":66245,"residue":189},{"from_index":270,"to_index":449,"sum":66759,"residue":703},{"from_index":449,"to_index":628,"sum":66604,"residue":548},{"from_index":628,"to_index":807,"sum":62451,"residue":703},{"from_index":807,"to_index":986,"sum":62655,"residue":189},{"from_index":986,"to_index":91,"sum":58502,"residue":344}],"minimal_cycle":[189,703,548,703,189,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":189,"start_interval_clock_positions":[91,270],"circle_positions":718,"cycle_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":[92,271,450,629,808,987],"clock_positions":[92,271,450,629,808,987],"native_values":[357,681,716,681,357,322],"rotation_degrees":30.837988826815643,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,681,716,681,357,322],"beta":{"interval_sums":[65938,66213,66297,62264,62707,58315],"interval_residues":[600,157,241,516,241,157],"display_cycle":[600,157,241,516,241,157],"intervals":[{"from_index":92,"to_index":271,"sum":65938,"residue":600},{"from_index":271,"to_index":450,"sum":66213,"residue":157},{"from_index":450,"to_index":629,"sum":66297,"residue":241},{"from_index":629,"to_index":808,"sum":62264,"residue":516},{"from_index":808,"to_index":987,"sum":62707,"residue":241},{"from_index":987,"to_index":92,"sum":58315,"residue":157}],"minimal_cycle":[600,157,241,516,241,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[92,271],"circle_positions":718,"cycle_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":[93,272,451,630,809,988],"clock_positions":[93,272,451,630,809,988],"native_values":[492,13,133,372,133,13],"rotation_degrees":31.1731843575419,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[492,13,133,372,133,13],"beta":{"interval_sums":[66127,66916,66845,62249,62896,58659],"interval_residues":[71,142,71,501,430,501],"display_cycle":[71,142,71,501,430,501],"intervals":[{"from_index":93,"to_index":272,"sum":66127,"residue":71},{"from_index":272,"to_index":451,"sum":66916,"residue":142},{"from_index":451,"to_index":630,"sum":66845,"residue":71},{"from_index":630,"to_index":809,"sum":62249,"residue":501},{"from_index":809,"to_index":988,"sum":62896,"residue":430},{"from_index":988,"to_index":93,"sum":58659,"residue":501}],"minimal_cycle":[71,142,71,501,430,501],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":71,"start_interval_clock_positions":[93,272],"circle_positions":718,"cycle_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":[94,273,452,631,810,989],"clock_positions":[94,273,452,631,810,989],"native_values":[131,694,131,335,490,335],"rotation_degrees":31.508379888268156,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,694,131,335,490,335],"beta":{"interval_sums":[66009,66355,67086,62047,62419,58816],"interval_residues":[671,299,312,299,671,658],"display_cycle":[671,299,312,299,671,658],"intervals":[{"from_index":94,"to_index":273,"sum":66009,"residue":671},{"from_index":273,"to_index":452,"sum":66355,"residue":299},{"from_index":452,"to_index":631,"sum":67086,"residue":312},{"from_index":631,"to_index":810,"sum":62047,"residue":299},{"from_index":810,"to_index":989,"sum":62419,"residue":671},{"from_index":989,"to_index":94,"sum":58816,"residue":658}],"minimal_cycle":[671,299,312,299,671,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[94,273],"circle_positions":718,"cycle_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":[95,274,453,632,811,990],"clock_positions":[95,274,453,632,811,990],"native_values":[623,707,264,707,623,348],"rotation_degrees":31.843575418994412,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,707,264,707,623,348],"beta":{"interval_sums":[66080,65779,67157,61830,62131,58599],"interval_residues":[24,441,383,82,383,441],"display_cycle":[24,441,383,82,383,441],"intervals":[{"from_index":95,"to_index":274,"sum":66080,"residue":24},{"from_index":274,"to_index":453,"sum":65779,"residue":441},{"from_index":453,"to_index":632,"sum":67157,"residue":383},{"from_index":632,"to_index":811,"sum":61830,"residue":82},{"from_index":811,"to_index":990,"sum":62131,"residue":383},{"from_index":990,"to_index":95,"sum":58599,"residue":441}],"minimal_cycle":[24,441,383,82,383,441],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[95,274],"circle_positions":718,"cycle_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":[96,275,454,633,812,991],"clock_positions":[96,275,454,633,812,991],"native_values":[36,683,395,324,395,683],"rotation_degrees":32.17877094972067,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[36,683,395,324,395,683],"beta":{"interval_sums":[66751,65360,67469,62129,62084,58539],"interval_residues":[695,22,695,381,336,381],"display_cycle":[695,22,695,381,336,381],"intervals":[{"from_index":96,"to_index":275,"sum":66751,"residue":695},{"from_index":275,"to_index":454,"sum":65360,"residue":22},{"from_index":454,"to_index":633,"sum":67469,"residue":695},{"from_index":633,"to_index":812,"sum":62129,"residue":381},{"from_index":812,"to_index":991,"sum":62084,"residue":336},{"from_index":991,"to_index":96,"sum":58539,"residue":381}],"minimal_cycle":[695,22,695,381,336,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":695,"start_interval_clock_positions":[96,275],"circle_positions":718,"cycle_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":[97,276,455,634,813,992],"clock_positions":[97,276,455,634,813,992],"native_values":[659,672,659,313,300,313],"rotation_degrees":32.513966480446925,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[659,672,659,313,300,313],"beta":{"interval_sums":[66775,65083,67134,62211,62467,58262],"interval_residues":[1,463,360,463,1,104],"display_cycle":[1,463,360,463,1,104],"intervals":[{"from_index":97,"to_index":276,"sum":66775,"residue":1},{"from_index":276,"to_index":455,"sum":65083,"residue":463},{"from_index":455,"to_index":634,"sum":67134,"residue":360},{"from_index":634,"to_index":813,"sum":62211,"residue":463},{"from_index":813,"to_index":992,"sum":62467,"residue":1},{"from_index":992,"to_index":97,"sum":58262,"residue":104}],"minimal_cycle":[1,463,360,463,1,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[97,276],"circle_positions":718,"cycle_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":[98,277,456,635,814,993],"clock_positions":[98,277,456,635,814,993],"native_values":[695,637,336,637,695,278],"rotation_degrees":32.849162011173185,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,637,336,637,695,278],"beta":{"interval_sums":[66752,65105,67111,61874,62085,58643],"interval_residues":[696,485,337,126,337,485],"display_cycle":[696,485,337,126,337,485],"intervals":[{"from_index":98,"to_index":277,"sum":66752,"residue":696},{"from_index":277,"to_index":456,"sum":65105,"residue":485},{"from_index":456,"to_index":635,"sum":67111,"residue":337},{"from_index":635,"to_index":814,"sum":61874,"residue":126},{"from_index":814,"to_index":993,"sum":62085,"residue":337},{"from_index":993,"to_index":98,"sum":58643,"residue":485}],"minimal_cycle":[696,485,337,126,337,485],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[98,277],"circle_positions":718,"cycle_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":[99,278,457,636,815,994],"clock_positions":[99,278,457,636,815,994],"native_values":[636,591,277,232,277,591],"rotation_degrees":33.184357541899445,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[636,591,277,232,277,591],"beta":{"interval_sums":[66753,64850,67471,62337,62086,58747],"interval_residues":[697,230,697,589,338,589],"display_cycle":[697,230,697,589,338,589],"intervals":[{"from_index":99,"to_index":278,"sum":66753,"residue":697},{"from_index":278,"to_index":457,"sum":64850,"residue":230},{"from_index":457,"to_index":636,"sum":67471,"residue":697},{"from_index":636,"to_index":815,"sum":62337,"residue":589},{"from_index":815,"to_index":994,"sum":62086,"residue":338},{"from_index":994,"to_index":99,"sum":58747,"residue":589}],"minimal_cycle":[697,230,697,589,338,589],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":697,"start_interval_clock_positions":[99,278],"circle_positions":718,"cycle_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":[100,279,458,637,816,995],"clock_positions":[100,279,458,637,816,995],"native_values":[613,510,613,151,254,151],"rotation_degrees":33.5195530726257,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,510,613,151,254,151],"beta":{"interval_sums":[66731,64617,67090,62463,62423,59232],"interval_residues":[675,715,316,715,675,356],"display_cycle":[675,715,316,715,675,356],"intervals":[{"from_index":100,"to_index":279,"sum":66731,"residue":675},{"from_index":279,"to_index":458,"sum":64617,"residue":715},{"from_index":458,"to_index":637,"sum":67090,"residue":316},{"from_index":637,"to_index":816,"sum":62463,"residue":715},{"from_index":816,"to_index":995,"sum":62423,"residue":675},{"from_index":995,"to_index":100,"sum":59232,"residue":356}],"minimal_cycle":[675,715,316,715,675,356],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":675,"start_interval_clock_positions":[100,279],"circle_positions":718,"cycle_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":[101,280,459,638,817,996],"clock_positions":[101,280,459,638,817,996],"native_values":[531,383,172,383,531,24],"rotation_degrees":33.85474860335196,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[531,383,172,383,531,24],"beta":{"interval_sums":[66710,64847,67069,62334,62043,59821],"interval_residues":[654,227,295,586,295,227],"display_cycle":[654,227,295,586,295,227],"intervals":[{"from_index":101,"to_index":280,"sum":66710,"residue":654},{"from_index":280,"to_index":459,"sum":64847,"residue":227},{"from_index":459,"to_index":638,"sum":67069,"residue":295},{"from_index":638,"to_index":817,"sum":62334,"residue":586},{"from_index":817,"to_index":996,"sum":62043,"residue":295},{"from_index":996,"to_index":101,"sum":59821,"residue":227}],"minimal_cycle":[654,227,295,586,295,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[101,280],"circle_positions":718,"cycle_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":[102,281,460,639,818,997],"clock_positions":[102,281,460,639,818,997],"native_values":[426,175,67,534,67,175],"rotation_degrees":34.18994413407821,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[426,175,67,534,67,175],"beta":{"interval_sums":[66667,64844,67385,62331,62000,60177],"interval_residues":[611,224,611,583,252,583],"display_cycle":[611,224,611,583,252,583],"intervals":[{"from_index":102,"to_index":281,"sum":66667,"residue":611},{"from_index":281,"to_index":460,"sum":64844,"residue":224},{"from_index":460,"to_index":639,"sum":67385,"residue":611},{"from_index":639,"to_index":818,"sum":62331,"residue":583},{"from_index":818,"to_index":997,"sum":62000,"residue":252},{"from_index":997,"to_index":102,"sum":60177,"residue":583}],"minimal_cycle":[611,224,611,583,252,583],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[102,281],"circle_positions":718,"cycle_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":[103,282,461,640,819,998],"clock_positions":[103,282,461,640,819,998],"native_values":[239,558,239,199,598,199],"rotation_degrees":34.52513966480447,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[239,558,239,199,598,199],"beta":{"interval_sums":[66603,64353,67680,62199,61577,60404],"interval_residues":[547,451,188,451,547,92],"display_cycle":[547,451,188,451,547,92],"intervals":[{"from_index":103,"to_index":282,"sum":66603,"residue":547},{"from_index":282,"to_index":461,"sum":64353,"residue":451},{"from_index":461,"to_index":640,"sum":67680,"residue":188},{"from_index":640,"to_index":819,"sum":62199,"residue":451},{"from_index":819,"to_index":998,"sum":61577,"residue":547},{"from_index":998,"to_index":103,"sum":60404,"residue":92}],"minimal_cycle":[547,451,188,451,547,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":547,"start_interval_clock_positions":[103,282],"circle_positions":718,"cycle_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":[104,283,462,641,820,999],"clock_positions":[104,283,462,641,820,999],"native_values":[665,15,306,15,665,374],"rotation_degrees":34.86033519553072,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[665,15,306,15,665,374],"beta":{"interval_sums":[66496,64577,67573,62782,61111,60269],"interval_residues":[440,675,81,316,81,675],"display_cycle":[440,675,81,316,81,675],"intervals":[{"from_index":104,"to_index":283,"sum":66496,"residue":440},{"from_index":283,"to_index":462,"sum":64577,"residue":675},{"from_index":462,"to_index":641,"sum":67573,"residue":81},{"from_index":641,"to_index":820,"sum":62782,"residue":316},{"from_index":820,"to_index":999,"sum":61111,"residue":81},{"from_index":999,"to_index":104,"sum":60269,"residue":675}],"minimal_cycle":[440,675,81,316,81,675],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[104,283],"circle_positions":718,"cycle_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":[105,284,463,642,821,1000],"clock_positions":[105,284,463,642,821,1000],"native_values":[186,573,545,214,545,573],"rotation_degrees":35.19553072625698,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[186,573,545,214,545,573],"beta":{"interval_sums":[66325,64310,67043,63233,60940,60361],"interval_residues":[269,408,269,49,628,49],"display_cycle":[269,408,269,49,628,49],"intervals":[{"from_index":105,"to_index":284,"sum":66325,"residue":269},{"from_index":284,"to_index":463,"sum":64310,"residue":408},{"from_index":463,"to_index":642,"sum":67043,"residue":269},{"from_index":642,"to_index":821,"sum":63233,"residue":49},{"from_index":821,"to_index":1000,"sum":60940,"residue":628},{"from_index":1000,"to_index":105,"sum":60361,"residue":49}],"minimal_cycle":[269,408,269,49,628,49],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":269,"start_interval_clock_positions":[105,284],"circle_positions":718,"cycle_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":[106,285,464,643,822,1001],"clock_positions":[106,285,464,643,822,1001],"native_values":[133,588,133,229,492,229],"rotation_degrees":35.53072625698324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,588,133,229,492,229],"beta":{"interval_sums":[66765,64267,67124,63549,61021,60318],"interval_residues":[709,365,350,365,709,6],"display_cycle":[709,365,350,365,709,6],"intervals":[{"from_index":106,"to_index":285,"sum":66765,"residue":709},{"from_index":285,"to_index":464,"sum":64267,"residue":365},{"from_index":464,"to_index":643,"sum":67124,"residue":350},{"from_index":643,"to_index":822,"sum":63549,"residue":365},{"from_index":822,"to_index":1001,"sum":61021,"residue":709},{"from_index":1001,"to_index":106,"sum":60318,"residue":6}],"minimal_cycle":[709,365,350,365,709,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":709,"start_interval_clock_positions":[106,285],"circle_positions":718,"cycle_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":[107,286,465,644,823,1002],"clock_positions":[107,286,465,644,823,1002],"native_values":[319,443,678,443,319,84],"rotation_degrees":35.865921787709496,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,443,678,443,319,84],"beta":{"interval_sums":[67034,63957,66675,63598,60931,60367],"interval_residues":[260,55,619,414,619,55],"display_cycle":[260,55,619,414,619,55],"intervals":[{"from_index":107,"to_index":286,"sum":67034,"residue":260},{"from_index":286,"to_index":465,"sum":63957,"residue":55},{"from_index":465,"to_index":644,"sum":66675,"residue":619},{"from_index":644,"to_index":823,"sum":63598,"residue":414},{"from_index":823,"to_index":1002,"sum":60931,"residue":619},{"from_index":1002,"to_index":107,"sum":60367,"residue":55}],"minimal_cycle":[260,55,619,414,619,55],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[107,286],"circle_positions":718,"cycle_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":[108,287,466,645,824,1003],"clock_positions":[108,287,466,645,824,1003],"native_values":[452,313,93,672,93,313],"rotation_degrees":36.201117318435756,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[452,313,93,672,93,313],"beta":{"interval_sums":[67025,64322,67025,63245,60922,60373],"interval_residues":[251,420,251,61,610,61],"display_cycle":[251,420,251,61,610,61],"intervals":[{"from_index":108,"to_index":287,"sum":67025,"residue":251},{"from_index":287,"to_index":466,"sum":64322,"residue":420},{"from_index":466,"to_index":645,"sum":67025,"residue":251},{"from_index":645,"to_index":824,"sum":63245,"residue":61},{"from_index":824,"to_index":1003,"sum":60922,"residue":610},{"from_index":1003,"to_index":108,"sum":60373,"residue":61}],"minimal_cycle":[251,420,251,61,610,61],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":251,"start_interval_clock_positions":[108,287],"circle_positions":718,"cycle_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":[109,288,467,646,825,1004],"clock_positions":[109,288,467,646,825,1004],"native_values":[53,38,53,397,412,397],"rotation_degrees":36.53631284916201,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,38,53,397,412,397],"beta":{"interval_sums":[67285,64377,67644,62941,60823,60428],"interval_residues":[511,475,152,475,511,116],"display_cycle":[511,475,152,475,511,116],"intervals":[{"from_index":109,"to_index":288,"sum":67285,"residue":511},{"from_index":288,"to_index":467,"sum":64377,"residue":475},{"from_index":467,"to_index":646,"sum":67644,"residue":152},{"from_index":646,"to_index":825,"sum":62941,"residue":475},{"from_index":825,"to_index":1004,"sum":60823,"residue":511},{"from_index":1004,"to_index":109,"sum":60428,"residue":116}],"minimal_cycle":[511,475,152,475,511,116],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":511,"start_interval_clock_positions":[109,288],"circle_positions":718,"cycle_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":[110,289,468,647,826,1005],"clock_positions":[110,289,468,647,826,1005],"native_values":[505,351,146,351,505,710],"rotation_degrees":36.87150837988827,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,351,146,351,505,710],"beta":{"interval_sums":[66818,64079,67895,63002,60715,59771],"interval_residues":[44,177,403,536,403,177],"display_cycle":[44,177,403,536,403,177],"intervals":[{"from_index":110,"to_index":289,"sum":66818,"residue":44},{"from_index":289,"to_index":468,"sum":64079,"residue":177},{"from_index":468,"to_index":647,"sum":67895,"residue":403},{"from_index":647,"to_index":826,"sum":63002,"residue":536},{"from_index":826,"to_index":1005,"sum":60715,"residue":403},{"from_index":1005,"to_index":110,"sum":59771,"residue":177}],"minimal_cycle":[44,177,403,536,403,177],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":44,"start_interval_clock_positions":[110,289],"circle_positions":718,"cycle_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":[111,290,469,648,827,1006],"clock_positions":[111,290,469,648,827,1006],"native_values":[558,389,199,30,199,389],"rotation_degrees":37.20670391061452,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[558,389,199,30,199,389],"beta":{"interval_sums":[66611,63836,68047,63477,61226,59887],"interval_residues":[555,652,555,293,196,293],"display_cycle":[555,652,555,293,196,293],"intervals":[{"from_index":111,"to_index":290,"sum":66611,"residue":555},{"from_index":290,"to_index":469,"sum":63836,"residue":652},{"from_index":469,"to_index":648,"sum":68047,"residue":555},{"from_index":648,"to_index":827,"sum":63477,"residue":293},{"from_index":827,"to_index":1006,"sum":61226,"residue":196},{"from_index":1006,"to_index":111,"sum":59887,"residue":293}],"minimal_cycle":[555,652,555,293,196,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":555,"start_interval_clock_positions":[111,290],"circle_positions":718,"cycle_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":[112,291,470,649,828,1007],"clock_positions":[112,291,470,649,828,1007],"native_values":[345,22,345,381,704,381],"rotation_degrees":37.54189944134078,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,22,345,381,704,381],"beta":{"interval_sums":[66655,64013,67732,63295,60911,60064],"interval_residues":[599,111,240,111,599,470],"display_cycle":[599,111,240,111,599,470],"intervals":[{"from_index":112,"to_index":291,"sum":66655,"residue":599},{"from_index":291,"to_index":470,"sum":64013,"residue":111},{"from_index":470,"to_index":649,"sum":67732,"residue":240},{"from_index":649,"to_index":828,"sum":63295,"residue":111},{"from_index":828,"to_index":1007,"sum":60911,"residue":599},{"from_index":1007,"to_index":112,"sum":60064,"residue":470}],"minimal_cycle":[599,111,240,111,599,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":599,"start_interval_clock_positions":[112,291],"circle_positions":718,"cycle_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":[113,292,471,650,829,1008],"clock_positions":[113,292,471,650,829,1008],"native_values":[185,411,544,411,185,52],"rotation_degrees":37.87709497206704,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,411,544,411,185,52],"beta":{"interval_sums":[66492,63947,67569,63588,61107,60357],"interval_residues":[436,45,77,404,77,45],"display_cycle":[436,45,77,404,77,45],"intervals":[{"from_index":113,"to_index":292,"sum":66492,"residue":436},{"from_index":292,"to_index":471,"sum":63947,"residue":45},{"from_index":471,"to_index":650,"sum":67569,"residue":77},{"from_index":650,"to_index":829,"sum":63588,"residue":404},{"from_index":829,"to_index":1008,"sum":61107,"residue":77},{"from_index":1008,"to_index":113,"sum":60357,"residue":45}],"minimal_cycle":[436,45,77,404,77,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":436,"start_interval_clock_positions":[113,292],"circle_positions":718,"cycle_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":[114,293,472,651,830,1009],"clock_positions":[114,293,472,651,830,1009],"native_values":[530,433,171,74,171,433],"rotation_degrees":38.212290502793294,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,433,171,74,171,433],"beta":{"interval_sums":[66373,64058,67809,63699,60988,60109],"interval_residues":[317,156,317,515,676,515],"display_cycle":[317,156,317,515,676,515],"intervals":[{"from_index":114,"to_index":293,"sum":66373,"residue":317},{"from_index":293,"to_index":472,"sum":64058,"residue":156},{"from_index":472,"to_index":651,"sum":67809,"residue":317},{"from_index":651,"to_index":830,"sum":63699,"residue":515},{"from_index":830,"to_index":1009,"sum":60988,"residue":676},{"from_index":1009,"to_index":114,"sum":60109,"residue":515}],"minimal_cycle":[317,156,317,515,676,515],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":317,"start_interval_clock_positions":[114,293],"circle_positions":718,"cycle_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":[115,294,473,652,831,1010],"clock_positions":[115,294,473,652,831,1010],"native_values":[715,126,715,485,356,485],"rotation_degrees":38.547486033519554,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[715,126,715,485,356,485],"beta":{"interval_sums":[66091,64103,67168,63385,61065,60154],"interval_residues":[35,201,394,201,35,560],"display_cycle":[35,201,394,201,35,560],"intervals":[{"from_index":115,"to_index":294,"sum":66091,"residue":35},{"from_index":294,"to_index":473,"sum":64103,"residue":201},{"from_index":473,"to_index":652,"sum":67168,"residue":394},{"from_index":652,"to_index":831,"sum":63385,"residue":201},{"from_index":831,"to_index":1010,"sum":61065,"residue":35},{"from_index":1010,"to_index":115,"sum":60154,"residue":560}],"minimal_cycle":[35,201,394,201,35,560],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":35,"start_interval_clock_positions":[115,294],"circle_positions":718,"cycle_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":[116,295,474,653,832,1011],"clock_positions":[116,295,474,653,832,1011],"native_values":[527,559,168,559,527,200],"rotation_degrees":38.88268156424581,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,559,168,559,527,200],"beta":{"interval_sums":[65690,64259,67485,63182,61023,60669],"interval_residues":[352,357,711,716,711,357],"display_cycle":[352,357,711,716,711,357],"intervals":[{"from_index":116,"to_index":295,"sum":65690,"residue":352},{"from_index":295,"to_index":474,"sum":64259,"residue":357},{"from_index":474,"to_index":653,"sum":67485,"residue":711},{"from_index":653,"to_index":832,"sum":63182,"residue":716},{"from_index":832,"to_index":1011,"sum":61023,"residue":711},{"from_index":1011,"to_index":116,"sum":60669,"residue":357}],"minimal_cycle":[352,357,711,716,711,357],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":352,"start_interval_clock_positions":[116,295],"circle_positions":718,"cycle_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":[117,296,475,654,833,1012],"clock_positions":[117,296,475,654,833,1012],"native_values":[524,685,165,326,165,685],"rotation_degrees":39.21787709497207,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[524,685,165,326,165,685],"beta":{"interval_sums":[65725,63742,67879,63383,61058,60511],"interval_residues":[387,558,387,199,28,199],"display_cycle":[387,558,387,199,28,199],"intervals":[{"from_index":117,"to_index":296,"sum":65725,"residue":387},{"from_index":296,"to_index":475,"sum":63742,"residue":558},{"from_index":475,"to_index":654,"sum":67879,"residue":387},{"from_index":654,"to_index":833,"sum":63383,"residue":199},{"from_index":833,"to_index":1012,"sum":61058,"residue":28},{"from_index":1012,"to_index":117,"sum":60511,"residue":199}],"minimal_cycle":[387,558,387,199,28,199],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":387,"start_interval_clock_positions":[117,296],"circle_positions":718,"cycle_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":[118,297,476,655,834,1013],"clock_positions":[118,297,476,655,834,1013],"native_values":[333,526,333,167,692,167],"rotation_degrees":39.55307262569833,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[333,526,333,167,692,167],"beta":{"interval_sums":[66077,63381,67872,63381,61051,60868],"interval_residues":[21,197,380,197,21,556],"display_cycle":[21,197,380,197,21,556],"intervals":[{"from_index":118,"to_index":297,"sum":66077,"residue":21},{"from_index":297,"to_index":476,"sum":63381,"residue":197},{"from_index":476,"to_index":655,"sum":67872,"residue":380},{"from_index":655,"to_index":834,"sum":63381,"residue":197},{"from_index":834,"to_index":1013,"sum":61051,"residue":21},{"from_index":1013,"to_index":118,"sum":60868,"residue":556}],"minimal_cycle":[21,197,380,197,21,556],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":21,"start_interval_clock_positions":[118,297],"circle_positions":718,"cycle_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":[119,298,477,656,835,1014],"clock_positions":[119,298,477,656,835,1014],"native_values":[139,493,498,493,139,134],"rotation_degrees":39.88826815642458,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[139,493,498,493,139,134],"beta":{"interval_sums":[66464,63221,67541,63580,61079,61067],"interval_residues":[408,37,49,396,49,37],"display_cycle":[408,37,49,396,49,37],"intervals":[{"from_index":119,"to_index":298,"sum":66464,"residue":408},{"from_index":298,"to_index":477,"sum":63221,"residue":37},{"from_index":477,"to_index":656,"sum":67541,"residue":49},{"from_index":656,"to_index":835,"sum":63580,"residue":396},{"from_index":835,"to_index":1014,"sum":61079,"residue":49},{"from_index":1014,"to_index":119,"sum":61067,"residue":37}],"minimal_cycle":[408,37,49,396,49,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[119,298],"circle_positions":718,"cycle_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":[120,299,478,657,836,1015],"clock_positions":[120,299,478,657,836,1015],"native_values":[472,301,113,660,113,301],"rotation_degrees":40.22346368715084,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,301,113,660,113,301],"beta":{"interval_sums":[66485,63418,67921,63059,61100,60905],"interval_residues":[429,234,429,593,70,593],"display_cycle":[429,234,429,593,70,593],"intervals":[{"from_index":120,"to_index":299,"sum":66485,"residue":429},{"from_index":299,"to_index":478,"sum":63418,"residue":234},{"from_index":478,"to_index":657,"sum":67921,"residue":429},{"from_index":657,"to_index":836,"sum":63059,"residue":593},{"from_index":836,"to_index":1015,"sum":61100,"residue":70},{"from_index":1015,"to_index":120,"sum":60905,"residue":593}],"minimal_cycle":[429,234,429,593,70,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[120,299],"circle_positions":718,"cycle_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":[121,300,479,658,837,1016],"clock_positions":[121,300,479,658,837,1016],"native_values":[611,76,611,435,252,435],"rotation_degrees":40.55865921787709,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[611,76,611,435,252,435],"beta":{"interval_sums":[66175,63455,67970,62737,61149,60942],"interval_residues":[119,271,478,271,119,630],"display_cycle":[119,271,478,271,119,630],"intervals":[{"from_index":121,"to_index":300,"sum":66175,"residue":119},{"from_index":300,"to_index":479,"sum":63455,"residue":271},{"from_index":479,"to_index":658,"sum":67970,"residue":478},{"from_index":658,"to_index":837,"sum":62737,"residue":271},{"from_index":837,"to_index":1016,"sum":61149,"residue":119},{"from_index":1016,"to_index":121,"sum":60942,"residue":630}],"minimal_cycle":[119,271,478,271,119,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":119,"start_interval_clock_positions":[121,300],"circle_positions":718,"cycle_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":[122,301,480,659,838,1017],"clock_positions":[122,301,480,659,838,1017],"native_values":[365,377,6,377,365,18],"rotation_degrees":40.89385474860335,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,377,6,377,365,18],"beta":{"interval_sums":[65886,63689,68399,62612,61219,61535],"interval_residues":[548,505,189,146,189,505],"display_cycle":[548,505,189,146,189,505],"intervals":[{"from_index":122,"to_index":301,"sum":65886,"residue":548},{"from_index":301,"to_index":480,"sum":63689,"residue":505},{"from_index":480,"to_index":659,"sum":68399,"residue":189},{"from_index":659,"to_index":838,"sum":62612,"residue":146},{"from_index":838,"to_index":1017,"sum":61219,"residue":189},{"from_index":1017,"to_index":122,"sum":61535,"residue":505}],"minimal_cycle":[548,505,189,146,189,505],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":548,"start_interval_clock_positions":[122,301],"circle_positions":718,"cycle_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":[123,302,481,660,839,1018],"clock_positions":[123,302,481,660,839,1018],"native_values":[258,453,617,94,617,453],"rotation_degrees":41.229050279329606,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,453,617,94,617,453],"beta":{"interval_sums":[66005,63242,68159,62883,60620,61447],"interval_residues":[667,58,667,417,308,417],"display_cycle":[667,58,667,417,308,417],"intervals":[{"from_index":123,"to_index":302,"sum":66005,"residue":667},{"from_index":302,"to_index":481,"sum":63242,"residue":58},{"from_index":481,"to_index":660,"sum":68159,"residue":667},{"from_index":660,"to_index":839,"sum":62883,"residue":417},{"from_index":839,"to_index":1018,"sum":60620,"residue":308},{"from_index":1018,"to_index":123,"sum":61447,"residue":417}],"minimal_cycle":[667,58,667,417,308,417],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":667,"start_interval_clock_positions":[123,302],"circle_positions":718,"cycle_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":[124,303,482,661,840,1019],"clock_positions":[124,303,482,661,840,1019],"native_values":[623,112,623,471,264,471],"rotation_degrees":41.564245810055866,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[623,112,623,471,264,471],"beta":{"interval_sums":[65835,63747,67630,63029,60809,61234],"interval_residues":[497,563,138,563,497,204],"display_cycle":[497,563,138,563,497,204],"intervals":[{"from_index":124,"to_index":303,"sum":65835,"residue":497},{"from_index":303,"to_index":482,"sum":63747,"residue":563},{"from_index":482,"to_index":661,"sum":67630,"residue":138},{"from_index":661,"to_index":840,"sum":63029,"residue":563},{"from_index":840,"to_index":1019,"sum":60809,"residue":497},{"from_index":1019,"to_index":124,"sum":61234,"residue":204}],"minimal_cycle":[497,563,138,563,497,204],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[124,303],"circle_positions":718,"cycle_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":[125,304,483,662,841,1020],"clock_positions":[125,304,483,662,841,1020],"native_values":[163,565,522,565,163,206],"rotation_degrees":41.899441340782126,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[163,565,522,565,163,206],"beta":{"interval_sums":[65784,63805,67579,62728,61117,61651],"interval_residues":[446,621,87,262,87,621],"display_cycle":[446,621,87,262,87,621],"intervals":[{"from_index":125,"to_index":304,"sum":65784,"residue":446},{"from_index":304,"to_index":483,"sum":63805,"residue":621},{"from_index":483,"to_index":662,"sum":67579,"residue":87},{"from_index":662,"to_index":841,"sum":62728,"residue":262},{"from_index":841,"to_index":1020,"sum":61117,"residue":87},{"from_index":1020,"to_index":125,"sum":61651,"residue":621}],"minimal_cycle":[446,621,87,262,87,621],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[125,304],"circle_positions":718,"cycle_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":[126,305,484,663,842,1021],"clock_positions":[126,305,484,663,842,1021],"native_values":[68,677,427,318,427,677],"rotation_degrees":42.23463687150838,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[68,677,427,318,427,677],"beta":{"interval_sums":[66281,63650,67717,62573,60896,61137],"interval_residues":[225,466,225,107,584,107],"display_cycle":[225,466,225,107,584,107],"intervals":[{"from_index":126,"to_index":305,"sum":66281,"residue":225},{"from_index":305,"to_index":484,"sum":63650,"residue":466},{"from_index":484,"to_index":663,"sum":67717,"residue":225},{"from_index":663,"to_index":842,"sum":62573,"residue":107},{"from_index":842,"to_index":1021,"sum":60896,"residue":584},{"from_index":1021,"to_index":126,"sum":61137,"residue":107}],"minimal_cycle":[225,466,225,107,584,107],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[126,305],"circle_positions":718,"cycle_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":[127,306,485,664,843,1022],"clock_positions":[127,306,485,664,843,1022],"native_values":[231,524,231,165,590,165],"rotation_degrees":42.56983240223464,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[231,524,231,165,590,165],"beta":{"interval_sums":[66727,63553,67804,62835,60983,61040],"interval_residues":[671,369,312,369,671,10],"display_cycle":[671,369,312,369,671,10],"intervals":[{"from_index":127,"to_index":306,"sum":66727,"residue":671},{"from_index":306,"to_index":485,"sum":63553,"residue":369},{"from_index":485,"to_index":664,"sum":67804,"residue":312},{"from_index":664,"to_index":843,"sum":62835,"residue":369},{"from_index":843,"to_index":1022,"sum":60983,"residue":671},{"from_index":1022,"to_index":127,"sum":61040,"residue":10}],"minimal_cycle":[671,369,312,369,671,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":671,"start_interval_clock_positions":[127,306],"circle_positions":718,"cycle_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":[128,307,486,665,844,1023],"clock_positions":[128,307,486,665,844,1023],"native_values":[299,483,658,483,299,124],"rotation_degrees":42.90502793296089,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[299,483,658,483,299,124],"beta":{"interval_sums":[66952,63301,67311,62942,60849,61147],"interval_residues":[178,117,537,476,537,117],"display_cycle":[178,117,537,476,537,117],"intervals":[{"from_index":128,"to_index":307,"sum":66952,"residue":178},{"from_index":307,"to_index":486,"sum":63301,"residue":117},{"from_index":486,"to_index":665,"sum":67311,"residue":537},{"from_index":665,"to_index":844,"sum":62942,"residue":476},{"from_index":844,"to_index":1023,"sum":60849,"residue":537},{"from_index":1023,"to_index":128,"sum":61147,"residue":117}],"minimal_cycle":[178,117,537,476,537,117],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[128,307],"circle_positions":718,"cycle_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":[129,308,487,666,845,1024],"clock_positions":[129,308,487,666,845,1024],"native_values":[530,289,171,648,171,289],"rotation_degrees":43.24022346368715,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[530,289,171,648,171,289],"beta":{"interval_sums":[66905,63670,67623,62593,60802,61157],"interval_residues":[131,486,131,127,490,127],"display_cycle":[131,486,131,127,490,127],"intervals":[{"from_index":129,"to_index":308,"sum":66905,"residue":131},{"from_index":308,"to_index":487,"sum":63670,"residue":486},{"from_index":487,"to_index":666,"sum":67623,"residue":131},{"from_index":666,"to_index":845,"sum":62593,"residue":127},{"from_index":845,"to_index":1024,"sum":60802,"residue":490},{"from_index":1024,"to_index":129,"sum":61157,"residue":127}],"minimal_cycle":[131,486,131,127,490,127],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":131,"start_interval_clock_positions":[129,308],"circle_positions":718,"cycle_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":[130,309,488,667,846,1025],"clock_positions":[130,309,488,667,846,1025],"native_values":[111,54,111,413,470,413],"rotation_degrees":43.57541899441341,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,54,111,413,470,413],"beta":{"interval_sums":[67083,63787,68160,62351,60621,61274],"interval_residues":[309,603,668,603,309,244],"display_cycle":[309,603,668,603,309,244],"intervals":[{"from_index":130,"to_index":309,"sum":67083,"residue":309},{"from_index":309,"to_index":488,"sum":63787,"residue":603},{"from_index":488,"to_index":667,"sum":68160,"residue":668},{"from_index":667,"to_index":846,"sum":62351,"residue":603},{"from_index":846,"to_index":1025,"sum":60621,"residue":309},{"from_index":1025,"to_index":130,"sum":61274,"residue":244}],"minimal_cycle":[309,603,668,603,309,244],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[130,309],"circle_positions":718,"cycle_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":[131,310,489,668,847,1026],"clock_positions":[131,310,489,668,847,1026],"native_values":[641,343,282,343,641,702],"rotation_degrees":43.910614525139664,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,343,282,343,641,702],"beta":{"interval_sums":[66496,63555,68291,62478,60393,60683],"interval_residues":[440,371,81,12,81,371],"display_cycle":[440,371,81,12,81,371],"intervals":[{"from_index":131,"to_index":310,"sum":66496,"residue":440},{"from_index":310,"to_index":489,"sum":63555,"residue":371},{"from_index":489,"to_index":668,"sum":68291,"residue":81},{"from_index":668,"to_index":847,"sum":62478,"residue":12},{"from_index":847,"to_index":1026,"sum":60393,"residue":81},{"from_index":1026,"to_index":131,"sum":60683,"residue":371}],"minimal_cycle":[440,371,81,12,81,371],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[131,310],"circle_positions":718,"cycle_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":[132,311,490,669,848,1027],"clock_positions":[132,311,490,669,848,1027],"native_values":[34,397,393,38,393,397],"rotation_degrees":44.245810055865924,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,397,393,38,393,397],"beta":{"interval_sums":[66805,63440,68241,63081,60702,60927],"interval_residues":[31,256,31,615,390,615],"display_cycle":[31,256,31,615,390,615],"intervals":[{"from_index":132,"to_index":311,"sum":66805,"residue":31},{"from_index":311,"to_index":490,"sum":63440,"residue":256},{"from_index":490,"to_index":669,"sum":68241,"residue":31},{"from_index":669,"to_index":848,"sum":63081,"residue":615},{"from_index":848,"to_index":1027,"sum":60702,"residue":390},{"from_index":1027,"to_index":132,"sum":60927,"residue":615}],"minimal_cycle":[31,256,31,615,390,615],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":31,"start_interval_clock_positions":[132,311],"circle_positions":718,"cycle_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":[133,312,491,670,849,1028],"clock_positions":[133,312,491,670,849,1028],"native_values":[675,22,675,381,316,381],"rotation_degrees":44.58100558659218,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,22,675,381,316,381],"beta":{"interval_sums":[66527,63811,67604,63093,60783,60580],"interval_residues":[471,627,112,627,471,268],"display_cycle":[471,627,112,627,471,268],"intervals":[{"from_index":133,"to_index":312,"sum":66527,"residue":471},{"from_index":312,"to_index":491,"sum":63811,"residue":627},{"from_index":491,"to_index":670,"sum":67604,"residue":112},{"from_index":670,"to_index":849,"sum":63093,"residue":627},{"from_index":849,"to_index":1028,"sum":60783,"residue":471},{"from_index":1028,"to_index":133,"sum":60580,"residue":268}],"minimal_cycle":[471,627,112,627,471,268],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":471,"start_interval_clock_positions":[133,312],"circle_positions":718,"cycle_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":[134,313,492,671,850,1029],"clock_positions":[134,313,492,671,850,1029],"native_values":[709,419,350,419,709,60],"rotation_degrees":44.91620111731844,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,419,350,419,709,60],"beta":{"interval_sums":[65840,64067,67635,62990,60455,61195],"interval_residues":[502,165,143,524,143,165],"display_cycle":[502,165,143,524,143,165],"intervals":[{"from_index":134,"to_index":313,"sum":65840,"residue":502},{"from_index":313,"to_index":492,"sum":64067,"residue":165},{"from_index":492,"to_index":671,"sum":67635,"residue":143},{"from_index":671,"to_index":850,"sum":62990,"residue":524},{"from_index":850,"to_index":1029,"sum":60455,"residue":143},{"from_index":1029,"to_index":134,"sum":61195,"residue":165}],"minimal_cycle":[502,165,143,524,143,165],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[134,313],"circle_positions":718,"cycle_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":[135,314,493,672,851,1030],"clock_positions":[135,314,493,672,851,1030],"native_values":[666,441,307,82,307,441],"rotation_degrees":45.25139664804469,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[666,441,307,82,307,441],"beta":{"interval_sums":[65593,63976,67747,63617,60208,61463],"interval_residues":[255,74,255,433,614,433],"display_cycle":[255,74,255,433,614,433],"intervals":[{"from_index":135,"to_index":314,"sum":65593,"residue":255},{"from_index":314,"to_index":493,"sum":63976,"residue":74},{"from_index":493,"to_index":672,"sum":67747,"residue":255},{"from_index":672,"to_index":851,"sum":63617,"residue":433},{"from_index":851,"to_index":1030,"sum":60208,"residue":614},{"from_index":1030,"to_index":135,"sum":61463,"residue":433}],"minimal_cycle":[255,74,255,433,614,433],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":255,"start_interval_clock_positions":[135,314],"circle_positions":718,"cycle_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":[136,315,494,673,852,1031],"clock_positions":[136,315,494,673,852,1031],"native_values":[657,142,657,501,298,501],"rotation_degrees":45.58659217877095,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,142,657,501,298,501],"beta":{"interval_sums":[65377,64141,67172,63423,60351,61628],"interval_residues":[39,239,398,239,39,598],"display_cycle":[39,239,398,239,39,598],"intervals":[{"from_index":136,"to_index":315,"sum":65377,"residue":39},{"from_index":315,"to_index":494,"sum":64141,"residue":239},{"from_index":494,"to_index":673,"sum":67172,"residue":398},{"from_index":673,"to_index":852,"sum":63423,"residue":239},{"from_index":852,"to_index":1031,"sum":60351,"residue":39},{"from_index":1031,"to_index":136,"sum":61628,"residue":598}],"minimal_cycle":[39,239,398,239,39,598],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":39,"start_interval_clock_positions":[136,315],"circle_positions":718,"cycle_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":[137,316,495,674,853,1032],"clock_positions":[137,316,495,674,853,1032],"native_values":[605,583,246,583,605,224],"rotation_degrees":45.92178770949721,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,583,246,583,605,224],"beta":{"interval_sums":[64914,64215,67427,63138,60247,62061],"interval_residues":[294,313,653,672,653,313],"display_cycle":[294,313,653,672,653,313],"intervals":[{"from_index":137,"to_index":316,"sum":64914,"residue":294},{"from_index":316,"to_index":495,"sum":64215,"residue":313},{"from_index":495,"to_index":674,"sum":67427,"residue":653},{"from_index":674,"to_index":853,"sum":63138,"residue":672},{"from_index":853,"to_index":1032,"sum":60247,"residue":653},{"from_index":1032,"to_index":137,"sum":62061,"residue":313}],"minimal_cycle":[294,313,653,672,653,313],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[137,316],"circle_positions":718,"cycle_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":[138,317,496,675,854,1033],"clock_positions":[138,317,496,675,854,1033],"native_values":[544,7,185,366,185,7],"rotation_degrees":46.25698324022346,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,7,185,366,185,7],"beta":{"interval_sums":[64953,64454,67825,63377,60286,62659],"interval_residues":[333,552,333,193,692,193],"display_cycle":[333,552,333,193,692,193],"intervals":[{"from_index":138,"to_index":317,"sum":64953,"residue":333},{"from_index":317,"to_index":496,"sum":64454,"residue":552},{"from_index":496,"to_index":675,"sum":67825,"residue":333},{"from_index":675,"to_index":854,"sum":63377,"residue":193},{"from_index":854,"to_index":1033,"sum":60286,"residue":692},{"from_index":1033,"to_index":138,"sum":62659,"residue":193}],"minimal_cycle":[333,552,333,193,692,193],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[138,317],"circle_positions":718,"cycle_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":[139,318,497,676,855,1034],"clock_positions":[139,318,497,676,855,1034],"native_values":[431,590,431,231,72,231],"rotation_degrees":46.59217877094972,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,590,431,231,72,231],"beta":{"interval_sums":[64529,64049,67760,63331,60221,62972],"interval_residues":[627,147,268,147,627,506],"display_cycle":[627,147,268,147,627,506],"intervals":[{"from_index":139,"to_index":318,"sum":64529,"residue":627},{"from_index":318,"to_index":497,"sum":64049,"residue":147},{"from_index":497,"to_index":676,"sum":67760,"residue":268},{"from_index":676,"to_index":855,"sum":63331,"residue":147},{"from_index":855,"to_index":1034,"sum":60221,"residue":627},{"from_index":1034,"to_index":139,"sum":62972,"residue":506}],"minimal_cycle":[627,147,268,147,627,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":627,"start_interval_clock_positions":[139,318],"circle_positions":718,"cycle_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":[140,319,498,677,856,1035],"clock_positions":[140,319,498,677,856,1035],"native_values":[257,597,616,597,257,238],"rotation_degrees":46.927374301675975,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[257,597,616,597,257,238],"beta":{"interval_sums":[64862,63883,67375,62806,60195,63165],"interval_residues":[242,699,601,340,601,699],"display_cycle":[242,699,601,340,601,699],"intervals":[{"from_index":140,"to_index":319,"sum":64862,"residue":242},{"from_index":319,"to_index":498,"sum":63883,"residue":699},{"from_index":498,"to_index":677,"sum":67375,"residue":601},{"from_index":677,"to_index":856,"sum":62806,"residue":340},{"from_index":856,"to_index":1035,"sum":60195,"residue":601},{"from_index":1035,"to_index":140,"sum":63165,"residue":699}],"minimal_cycle":[242,699,601,340,601,699],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[140,319],"circle_positions":718,"cycle_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":[141,320,499,678,857,1036],"clock_positions":[141,320,499,678,857,1036],"native_values":[688,469,329,110,329,469],"rotation_degrees":47.262569832402235,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,469,329,110,329,469],"beta":{"interval_sums":[64771,64030,67643,62953,60104,62953],"interval_residues":[151,128,151,487,510,487],"display_cycle":[151,128,151,487,510,487],"intervals":[{"from_index":141,"to_index":320,"sum":64771,"residue":151},{"from_index":320,"to_index":499,"sum":64030,"residue":128},{"from_index":499,"to_index":678,"sum":67643,"residue":151},{"from_index":678,"to_index":857,"sum":62953,"residue":487},{"from_index":857,"to_index":1036,"sum":60104,"residue":510},{"from_index":1036,"to_index":141,"sum":62953,"residue":487}],"minimal_cycle":[151,128,151,487,510,487],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":151,"start_interval_clock_positions":[141,320],"circle_positions":718,"cycle_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":[142,321,500,679,858,1037],"clock_positions":[142,321,500,679,858,1037],"native_values":[227,348,227,707,586,707],"rotation_degrees":47.597765363128495,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[227,348,227,707,586,707],"beta":{"interval_sums":[65013,64011,67526,62575,59987,62934],"interval_residues":[393,109,34,109,393,468],"display_cycle":[393,109,34,109,393,468],"intervals":[{"from_index":142,"to_index":321,"sum":65013,"residue":393},{"from_index":321,"to_index":500,"sum":64011,"residue":109},{"from_index":500,"to_index":679,"sum":67526,"residue":34},{"from_index":679,"to_index":858,"sum":62575,"residue":109},{"from_index":858,"to_index":1037,"sum":59987,"residue":393},{"from_index":1037,"to_index":142,"sum":62934,"residue":468}],"minimal_cycle":[393,109,34,109,393,468],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":393,"start_interval_clock_positions":[142,321],"circle_positions":718,"cycle_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":[143,322,501,680,859,1038],"clock_positions":[143,322,501,680,859,1038],"native_values":[197,99,556,99,197,458],"rotation_degrees":47.93296089385475,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,99,556,99,197,458],"beta":{"interval_sums":[65164,64139,67677,63062,60497,62703],"interval_residues":[544,237,185,596,185,237],"display_cycle":[544,237,185,596,185,237],"intervals":[{"from_index":143,"to_index":322,"sum":65164,"residue":544},{"from_index":322,"to_index":501,"sum":64139,"residue":237},{"from_index":501,"to_index":680,"sum":67677,"residue":185},{"from_index":680,"to_index":859,"sum":63062,"residue":596},{"from_index":859,"to_index":1038,"sum":60497,"residue":185},{"from_index":1038,"to_index":143,"sum":62703,"residue":237}],"minimal_cycle":[544,237,185,596,185,237],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":544,"start_interval_clock_positions":[143,322],"circle_positions":718,"cycle_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":[144,323,502,681,860,1039],"clock_positions":[144,323,502,681,860,1039],"native_values":[424,447,65,88,65,447],"rotation_degrees":48.26815642458101,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,447,65,88,65,447],"beta":{"interval_sums":[64839,64248,67711,63171,60890,62453],"interval_residues":[219,346,219,705,578,705],"display_cycle":[219,346,219,705,578,705],"intervals":[{"from_index":144,"to_index":323,"sum":64839,"residue":219},{"from_index":323,"to_index":502,"sum":64248,"residue":346},{"from_index":502,"to_index":681,"sum":67711,"residue":219},{"from_index":681,"to_index":860,"sum":63171,"residue":705},{"from_index":860,"to_index":1039,"sum":60890,"residue":578},{"from_index":1039,"to_index":144,"sum":62453,"residue":705}],"minimal_cycle":[219,346,219,705,578,705],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":219,"start_interval_clock_positions":[144,323],"circle_positions":718,"cycle_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":[145,324,503,682,861,1040],"clock_positions":[145,324,503,682,861,1040],"native_values":[621,546,621,187,262,187],"rotation_degrees":48.60335195530726,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,546,621,187,262,187],"beta":{"interval_sums":[64665,63767,67178,63049,61075,62690],"interval_residues":[45,583,404,583,45,224],"display_cycle":[45,583,404,583,45,224],"intervals":[{"from_index":145,"to_index":324,"sum":64665,"residue":45},{"from_index":324,"to_index":503,"sum":63767,"residue":583},{"from_index":503,"to_index":682,"sum":67178,"residue":404},{"from_index":682,"to_index":861,"sum":63049,"residue":583},{"from_index":861,"to_index":1040,"sum":61075,"residue":45},{"from_index":1040,"to_index":145,"sum":62690,"residue":224}],"minimal_cycle":[45,583,404,583,45,224],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":45,"start_interval_clock_positions":[145,324],"circle_positions":718,"cycle_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":[146,325,504,683,862,1041],"clock_positions":[146,325,504,683,862,1041],"native_values":[327,275,686,275,327,634],"rotation_degrees":48.93854748603352,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,275,686,275,327,634],"beta":{"interval_sums":[64884,64113,66679,63036,60935,62677],"interval_residues":[264,211,623,570,623,211],"display_cycle":[264,211,623,570,623,211],"intervals":[{"from_index":146,"to_index":325,"sum":64884,"residue":264},{"from_index":325,"to_index":504,"sum":64113,"residue":211},{"from_index":504,"to_index":683,"sum":66679,"residue":623},{"from_index":683,"to_index":862,"sum":63036,"residue":570},{"from_index":862,"to_index":1041,"sum":60935,"residue":623},{"from_index":1041,"to_index":146,"sum":62677,"residue":211}],"minimal_cycle":[264,211,623,570,623,211],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[146,325],"circle_positions":718,"cycle_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":[147,326,505,684,863,1042],"clock_positions":[147,326,505,684,863,1042],"native_values":[230,103,589,462,589,103],"rotation_degrees":49.273743016759774,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[230,103,589,462,589,103],"beta":{"interval_sums":[64929,64696,66365,62901,60980,62901],"interval_residues":[309,76,309,435,668,435],"display_cycle":[309,76,309,435,668,435],"intervals":[{"from_index":147,"to_index":326,"sum":64929,"residue":309},{"from_index":326,"to_index":505,"sum":64696,"residue":76},{"from_index":505,"to_index":684,"sum":66365,"residue":309},{"from_index":684,"to_index":863,"sum":62901,"residue":435},{"from_index":863,"to_index":1042,"sum":60980,"residue":668},{"from_index":1042,"to_index":147,"sum":62901,"residue":435}],"minimal_cycle":[309,76,309,435,668,435],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[147,326],"circle_positions":718,"cycle_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":[148,327,506,685,864,1043],"clock_positions":[148,327,506,685,864,1043],"native_values":[557,378,557,19,198,19],"rotation_degrees":49.608938547486034,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,378,557,19,198,19],"beta":{"interval_sums":[64475,64907,66270,63471,60885,63112],"interval_residues":[573,287,214,287,573,646],"display_cycle":[573,287,214,287,573,646],"intervals":[{"from_index":148,"to_index":327,"sum":64475,"residue":573},{"from_index":327,"to_index":506,"sum":64907,"residue":287},{"from_index":506,"to_index":685,"sum":66270,"residue":214},{"from_index":685,"to_index":864,"sum":63471,"residue":287},{"from_index":864,"to_index":1043,"sum":60885,"residue":573},{"from_index":1043,"to_index":148,"sum":63112,"residue":646}],"minimal_cycle":[573,287,214,287,573,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":573,"start_interval_clock_positions":[148,327],"circle_positions":718,"cycle_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":[149,328,507,686,865,1044],"clock_positions":[149,328,507,686,865,1044],"native_values":[69,481,428,481,69,122],"rotation_degrees":49.944134078212294,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,481,428,481,69,122],"beta":{"interval_sums":[64784,64983,65861,63188,60835,63547],"interval_residues":[164,363,523,4,523,363],"display_cycle":[164,363,523,4,523,363],"intervals":[{"from_index":149,"to_index":328,"sum":64784,"residue":164},{"from_index":328,"to_index":507,"sum":64983,"residue":363},{"from_index":507,"to_index":686,"sum":65861,"residue":523},{"from_index":686,"to_index":865,"sum":63188,"residue":4},{"from_index":865,"to_index":1044,"sum":60835,"residue":523},{"from_index":1044,"to_index":149,"sum":63547,"residue":363}],"minimal_cycle":[164,363,523,4,523,363],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":164,"start_interval_clock_positions":[149,328],"circle_positions":718,"cycle_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":[150,329,508,687,866,1045],"clock_positions":[150,329,508,687,866,1045],"native_values":[626,141,267,500,267,141],"rotation_degrees":50.279329608938546,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[626,141,267,500,267,141],"beta":{"interval_sums":[64639,65270,66075,62757,60690,63475],"interval_residues":[19,650,19,291,378,291],"display_cycle":[19,650,19,291,378,291],"intervals":[{"from_index":150,"to_index":329,"sum":64639,"residue":19},{"from_index":329,"to_index":508,"sum":65270,"residue":650},{"from_index":508,"to_index":687,"sum":66075,"residue":19},{"from_index":687,"to_index":866,"sum":62757,"residue":291},{"from_index":866,"to_index":1045,"sum":60690,"residue":378},{"from_index":1045,"to_index":150,"sum":63475,"residue":291}],"minimal_cycle":[19,650,19,291,378,291],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":19,"start_interval_clock_positions":[150,329],"circle_positions":718,"cycle_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":[151,330,509,688,867,1046],"clock_positions":[151,330,509,688,867,1046],"native_values":[695,622,695,263,336,263],"rotation_degrees":50.614525139664806,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[695,622,695,263,336,263],"beta":{"interval_sums":[64085,64915,65880,62761,60495,63838],"interval_residues":[183,295,542,295,183,654],"display_cycle":[183,295,542,295,183,654],"intervals":[{"from_index":151,"to_index":330,"sum":64085,"residue":183},{"from_index":330,"to_index":509,"sum":64915,"residue":295},{"from_index":509,"to_index":688,"sum":65880,"residue":542},{"from_index":688,"to_index":867,"sum":62761,"residue":295},{"from_index":867,"to_index":1046,"sum":60495,"residue":183},{"from_index":1046,"to_index":151,"sum":63838,"residue":654}],"minimal_cycle":[183,295,542,295,183,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":183,"start_interval_clock_positions":[151,330],"circle_positions":718,"cycle_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":[152,331,510,689,868,1047],"clock_positions":[152,331,510,689,868,1047],"native_values":[603,45,244,45,603,404],"rotation_degrees":50.94972067039106,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,45,244,45,603,404],"beta":{"interval_sums":[64104,65565,65899,63052,60155,64129],"interval_residues":[202,227,561,586,561,227],"display_cycle":[202,227,561,586,561,227],"intervals":[{"from_index":152,"to_index":331,"sum":64104,"residue":202},{"from_index":331,"to_index":510,"sum":65565,"residue":227},{"from_index":510,"to_index":689,"sum":65899,"residue":561},{"from_index":689,"to_index":868,"sum":63052,"residue":586},{"from_index":868,"to_index":1047,"sum":60155,"residue":561},{"from_index":1047,"to_index":152,"sum":64129,"residue":227}],"minimal_cycle":[202,227,561,586,561,227],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[152,331],"circle_positions":718,"cycle_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":[153,332,511,690,869,1048],"clock_positions":[153,332,511,690,869,1048],"native_values":[580,667,221,308,221,667],"rotation_degrees":51.28491620111732,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[580,667,221,308,221,667],"beta":{"interval_sums":[63569,65142,65723,63347,60338,64065],"interval_residues":[385,522,385,163,26,163],"display_cycle":[385,522,385,163,26,163],"intervals":[{"from_index":153,"to_index":332,"sum":63569,"residue":385},{"from_index":332,"to_index":511,"sum":65142,"residue":522},{"from_index":511,"to_index":690,"sum":65723,"residue":385},{"from_index":690,"to_index":869,"sum":63347,"residue":163},{"from_index":869,"to_index":1048,"sum":60338,"residue":26},{"from_index":1048,"to_index":153,"sum":64065,"residue":163}],"minimal_cycle":[385,522,385,163,26,163],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":385,"start_interval_clock_positions":[153,332],"circle_positions":718,"cycle_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":[154,333,512,691,870,1049],"clock_positions":[154,333,512,691,870,1049],"native_values":[465,712,465,353,106,353],"rotation_degrees":51.62011173184357,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[465,712,465,353,106,353],"beta":{"interval_sums":[63771,64651,65566,63215,60899,64292],"interval_residues":[587,31,228,31,587,390],"display_cycle":[587,31,228,31,587,390],"intervals":[{"from_index":154,"to_index":333,"sum":63771,"residue":587},{"from_index":333,"to_index":512,"sum":64651,"residue":31},{"from_index":512,"to_index":691,"sum":65566,"residue":228},{"from_index":691,"to_index":870,"sum":63215,"residue":31},{"from_index":870,"to_index":1049,"sum":60899,"residue":587},{"from_index":1049,"to_index":154,"sum":64292,"residue":390}],"minimal_cycle":[587,31,228,31,587,390],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":587,"start_interval_clock_positions":[154,333],"circle_positions":718,"cycle_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":[155,334,513,692,871,1050],"clock_positions":[155,334,513,692,871,1050],"native_values":[327,661,686,661,327,302],"rotation_degrees":51.95530726256983,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[327,661,686,661,327,302],"beta":{"interval_sums":[64156,64455,65233,62660,60925,64455],"interval_residues":[254,553,613,194,613,553],"display_cycle":[254,553,613,194,613,553],"intervals":[{"from_index":155,"to_index":334,"sum":64156,"residue":254},{"from_index":334,"to_index":513,"sum":64455,"residue":553},{"from_index":513,"to_index":692,"sum":65233,"residue":613},{"from_index":692,"to_index":871,"sum":62660,"residue":194},{"from_index":871,"to_index":1050,"sum":60925,"residue":613},{"from_index":1050,"to_index":155,"sum":64455,"residue":553}],"minimal_cycle":[254,553,613,194,613,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[155,334],"circle_positions":718,"cycle_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":[156,335,514,693,872,1051],"clock_positions":[156,335,514,693,872,1051],"native_values":[74,655,433,296,433,655],"rotation_degrees":52.29050279329609,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[74,655,433,296,433,655],"beta":{"interval_sums":[64743,64486,65461,62691,60794,64127],"interval_residues":[123,584,123,225,482,225],"display_cycle":[123,584,123,225,482,225],"intervals":[{"from_index":156,"to_index":335,"sum":64743,"residue":123},{"from_index":335,"to_index":514,"sum":64486,"residue":584},{"from_index":514,"to_index":693,"sum":65461,"residue":123},{"from_index":693,"to_index":872,"sum":62691,"residue":225},{"from_index":872,"to_index":1051,"sum":60794,"residue":482},{"from_index":1051,"to_index":156,"sum":64127,"residue":225}],"minimal_cycle":[123,584,123,225,482,225],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":123,"start_interval_clock_positions":[156,335],"circle_positions":718,"cycle_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":[157,336,515,694,873,1052],"clock_positions":[157,336,515,694,873,1052],"native_values":[401,598,401,239,42,239],"rotation_degrees":52.625698324022345,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[401,598,401,239,42,239],"beta":{"interval_sums":[64997,64321,65356,62885,61407,63962],"interval_residues":[377,419,18,419,377,60],"display_cycle":[377,419,18,419,377,60],"intervals":[{"from_index":157,"to_index":336,"sum":64997,"residue":377},{"from_index":336,"to_index":515,"sum":64321,"residue":419},{"from_index":515,"to_index":694,"sum":65356,"residue":18},{"from_index":694,"to_index":873,"sum":62885,"residue":419},{"from_index":873,"to_index":1052,"sum":61407,"residue":377},{"from_index":1052,"to_index":157,"sum":63962,"residue":60}],"minimal_cycle":[377,419,18,419,377,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[157,336],"circle_positions":718,"cycle_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":[158,337,516,695,874,1053],"clock_positions":[158,337,516,695,874,1053],"native_values":[475,535,116,535,475,176],"rotation_degrees":52.960893854748605,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[475,535,116,535,475,176],"beta":{"interval_sums":[65120,64187,65479,62392,61171,64187],"interval_residues":[500,285,141,644,141,285],"display_cycle":[500,285,141,644,141,285],"intervals":[{"from_index":158,"to_index":337,"sum":65120,"residue":500},{"from_index":337,"to_index":516,"sum":64187,"residue":285},{"from_index":516,"to_index":695,"sum":65479,"residue":141},{"from_index":695,"to_index":874,"sum":62392,"residue":644},{"from_index":874,"to_index":1053,"sum":61171,"residue":141},{"from_index":1053,"to_index":158,"sum":64187,"residue":285}],"minimal_cycle":[500,285,141,644,141,285],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":500,"start_interval_clock_positions":[158,337],"circle_positions":718,"cycle_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":[159,338,517,696,875,1054],"clock_positions":[159,338,517,696,875,1054],"native_values":[158,415,517,56,517,415],"rotation_degrees":53.29608938547486,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[158,415,517,56,517,415],"beta":{"interval_sums":[65497,63888,65497,62811,60830,64247],"interval_residues":[159,704,159,345,518,345],"display_cycle":[159,704,159,345,518,345],"intervals":[{"from_index":159,"to_index":338,"sum":65497,"residue":159},{"from_index":338,"to_index":517,"sum":63888,"residue":704},{"from_index":517,"to_index":696,"sum":65497,"residue":159},{"from_index":696,"to_index":875,"sum":62811,"residue":345},{"from_index":875,"to_index":1054,"sum":60830,"residue":518},{"from_index":1054,"to_index":159,"sum":64247,"residue":345}],"minimal_cycle":[159,704,159,345,518,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":159,"start_interval_clock_positions":[159,338],"circle_positions":718,"cycle_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":[160,339,518,697,876,1055],"clock_positions":[160,339,518,697,876,1055],"native_values":[633,232,633,591,274,591],"rotation_degrees":53.63128491620112,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,232,633,591,274,591],"beta":{"interval_sums":[65279,64173,64920,62737,60971,63814],"interval_residues":[659,271,300,271,659,630],"display_cycle":[659,271,300,271,659,630],"intervals":[{"from_index":160,"to_index":339,"sum":65279,"residue":659},{"from_index":339,"to_index":518,"sum":64173,"residue":271},{"from_index":518,"to_index":697,"sum":64920,"residue":300},{"from_index":697,"to_index":876,"sum":62737,"residue":271},{"from_index":876,"to_index":1055,"sum":60971,"residue":659},{"from_index":1055,"to_index":160,"sum":63814,"residue":630}],"minimal_cycle":[659,271,300,271,659,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":659,"start_interval_clock_positions":[160,339],"circle_positions":718,"cycle_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":[161,340,519,698,877,1056],"clock_positions":[161,340,519,698,877,1056],"native_values":[73,647,432,647,73,288],"rotation_degrees":53.96648044692738,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,647,432,647,73,288],"beta":{"interval_sums":[65438,64159,65079,62364,61489,64159],"interval_residues":[100,257,459,616,459,257],"display_cycle":[100,257,459,616,459,257],"intervals":[{"from_index":161,"to_index":340,"sum":65438,"residue":100},{"from_index":340,"to_index":519,"sum":64159,"residue":257},{"from_index":519,"to_index":698,"sum":65079,"residue":459},{"from_index":698,"to_index":877,"sum":62364,"residue":616},{"from_index":877,"to_index":1056,"sum":61489,"residue":459},{"from_index":1056,"to_index":161,"sum":64159,"residue":257}],"minimal_cycle":[100,257,459,616,459,257],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":100,"start_interval_clock_positions":[161,340],"circle_positions":718,"cycle_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":[162,341,520,699,878,1057],"clock_positions":[162,341,520,699,878,1057],"native_values":[706,161,347,520,347,161],"rotation_degrees":54.30167597765363,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,161,347,520,347,161],"beta":{"interval_sums":[65379,64430,65379,61917,61430,64071],"interval_residues":[41,528,41,169,400,169],"display_cycle":[41,528,41,169,400,169],"intervals":[{"from_index":162,"to_index":341,"sum":65379,"residue":41},{"from_index":341,"to_index":520,"sum":64430,"residue":528},{"from_index":520,"to_index":699,"sum":65379,"residue":41},{"from_index":699,"to_index":878,"sum":61917,"residue":169},{"from_index":878,"to_index":1057,"sum":61430,"residue":400},{"from_index":1057,"to_index":162,"sum":64071,"residue":169}],"minimal_cycle":[41,528,41,169,400,169],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":41,"start_interval_clock_positions":[162,341],"circle_positions":718,"cycle_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":[163,342,521,700,879,1058],"clock_positions":[163,342,521,700,879,1058],"native_values":[61,90,61,449,420,449],"rotation_degrees":54.63687150837989,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,90,61,449,420,449],"beta":{"interval_sums":[65479,64687,65838,61815,61171,64328],"interval_residues":[141,67,500,67,141,426],"display_cycle":[141,67,500,67,141,426],"intervals":[{"from_index":163,"to_index":342,"sum":65479,"residue":141},{"from_index":342,"to_index":521,"sum":64687,"residue":67},{"from_index":521,"to_index":700,"sum":65838,"residue":500},{"from_index":700,"to_index":879,"sum":61815,"residue":67},{"from_index":879,"to_index":1058,"sum":61171,"residue":141},{"from_index":1058,"to_index":163,"sum":64328,"residue":426}],"minimal_cycle":[141,67,500,67,141,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[163,342],"circle_positions":718,"cycle_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":[164,343,522,701,880,1059],"clock_positions":[164,343,522,701,880,1059],"native_values":[49,251,408,251,49,610],"rotation_degrees":54.97206703910614,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[49,251,408,251,49,610],"beta":{"interval_sums":[65520,64497,65879,61984,61571,63779],"interval_residues":[182,595,541,236,541,595],"display_cycle":[182,595,541,236,541,595],"intervals":[{"from_index":164,"to_index":343,"sum":65520,"residue":182},{"from_index":343,"to_index":522,"sum":64497,"residue":595},{"from_index":522,"to_index":701,"sum":65879,"residue":541},{"from_index":701,"to_index":880,"sum":61984,"residue":236},{"from_index":880,"to_index":1059,"sum":61571,"residue":541},{"from_index":1059,"to_index":164,"sum":63779,"residue":595}],"minimal_cycle":[182,595,541,236,541,595],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[164,343],"circle_positions":718,"cycle_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":[165,344,523,702,881,1060],"clock_positions":[165,344,523,702,881,1060],"native_values":[110,341,469,700,469,341],"rotation_degrees":55.3072625698324,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[110,341,469,700,469,341],"beta":{"interval_sums":[65661,64564,65661,61333,61712,63487],"interval_residues":[323,662,323,303,682,303],"display_cycle":[323,662,323,303,682,303],"intervals":[{"from_index":165,"to_index":344,"sum":65661,"residue":323},{"from_index":344,"to_index":523,"sum":64564,"residue":662},{"from_index":523,"to_index":702,"sum":65661,"residue":323},{"from_index":702,"to_index":881,"sum":61333,"residue":303},{"from_index":881,"to_index":1060,"sum":61712,"residue":682},{"from_index":1060,"to_index":165,"sum":63487,"residue":303}],"minimal_cycle":[323,662,323,303,682,303],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":323,"start_interval_clock_positions":[165,344],"circle_positions":718,"cycle_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":[166,345,524,703,882,1061],"clock_positions":[166,345,524,703,882,1061],"native_values":[159,592,159,233,518,233],"rotation_degrees":55.642458100558656,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[159,592,159,233,518,233],"beta":{"interval_sums":[65843,64441,66202,61569,61535,63364],"interval_residues":[505,539,146,539,505,180],"display_cycle":[505,539,146,539,505,180],"intervals":[{"from_index":166,"to_index":345,"sum":65843,"residue":505},{"from_index":345,"to_index":524,"sum":64441,"residue":539},{"from_index":524,"to_index":703,"sum":66202,"residue":146},{"from_index":703,"to_index":882,"sum":61569,"residue":539},{"from_index":882,"to_index":1061,"sum":61535,"residue":505},{"from_index":1061,"to_index":166,"sum":63364,"residue":180}],"minimal_cycle":[505,539,146,539,505,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[166,345],"circle_positions":718,"cycle_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":[167,346,525,704,883,1062],"clock_positions":[167,346,525,704,883,1062],"native_values":[269,215,628,215,269,574],"rotation_degrees":55.977653631284916,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,215,628,215,269,574],"beta":{"interval_sums":[66166,64385,65807,61872,61499,62949],"interval_residues":[110,483,469,124,469,483],"display_cycle":[110,483,469,124,469,483],"intervals":[{"from_index":167,"to_index":346,"sum":66166,"residue":110},{"from_index":346,"to_index":525,"sum":64385,"residue":483},{"from_index":525,"to_index":704,"sum":65807,"residue":469},{"from_index":704,"to_index":883,"sum":61872,"residue":124},{"from_index":883,"to_index":1062,"sum":61499,"residue":469},{"from_index":1062,"to_index":167,"sum":62949,"residue":483}],"minimal_cycle":[110,483,469,124,469,483],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[167,346],"circle_positions":718,"cycle_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":[168,347,526,705,884,1063],"clock_positions":[168,347,526,705,884,1063],"native_values":[428,89,69,448,69,89],"rotation_degrees":56.312849162011176,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[428,89,69,448,69,89],"beta":{"interval_sums":[65953,64924,65953,61693,62004,63129],"interval_residues":[615,304,615,663,256,663],"display_cycle":[615,304,615,663,256,663],"intervals":[{"from_index":168,"to_index":347,"sum":65953,"residue":615},{"from_index":347,"to_index":526,"sum":64924,"residue":304},{"from_index":526,"to_index":705,"sum":65953,"residue":615},{"from_index":705,"to_index":884,"sum":61693,"residue":663},{"from_index":884,"to_index":1063,"sum":62004,"residue":256},{"from_index":1063,"to_index":168,"sum":63129,"residue":663}],"minimal_cycle":[615,304,615,663,256,663],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":615,"start_interval_clock_positions":[168,347],"circle_positions":718,"cycle_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":[169,348,527,706,885,1064],"clock_positions":[169,348,527,706,885,1064],"native_values":[697,304,697,663,338,663],"rotation_degrees":56.64804469273743,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,304,697,663,338,663],"beta":{"interval_sums":[65345,64689,65704,61099,61755,62894],"interval_residues":[7,69,366,69,7,428],"display_cycle":[7,69,366,69,7,428],"intervals":[{"from_index":169,"to_index":348,"sum":65345,"residue":7},{"from_index":348,"to_index":527,"sum":64689,"residue":69},{"from_index":527,"to_index":706,"sum":65704,"residue":366},{"from_index":706,"to_index":885,"sum":61099,"residue":69},{"from_index":885,"to_index":1064,"sum":61755,"residue":7},{"from_index":1064,"to_index":169,"sum":62894,"residue":428}],"minimal_cycle":[7,69,366,69,7,428],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":7,"start_interval_clock_positions":[169,348],"circle_positions":718,"cycle_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":[170,349,528,707,886,1065],"clock_positions":[170,349,528,707,886,1065],"native_values":[407,393,48,393,407,34],"rotation_degrees":56.98324022346369,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[407,393,48,393,407,34],"beta":{"interval_sums":[65242,64993,66319,61044,62011,63557],"interval_residues":[622,373,263,14,263,373],"display_cycle":[622,373,263,14,263,373],"intervals":[{"from_index":170,"to_index":349,"sum":65242,"residue":622},{"from_index":349,"to_index":528,"sum":64993,"residue":373},{"from_index":528,"to_index":707,"sum":66319,"residue":263},{"from_index":707,"to_index":886,"sum":61044,"residue":14},{"from_index":886,"to_index":1065,"sum":62011,"residue":263},{"from_index":1065,"to_index":170,"sum":63557,"residue":373}],"minimal_cycle":[622,373,263,14,263,373],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[170,349],"circle_positions":718,"cycle_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":[171,350,529,708,887,1066],"clock_positions":[171,350,529,708,887,1066],"native_values":[386,697,27,338,27,697],"rotation_degrees":57.31843575418994,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,697,27,338,27,697],"beta":{"interval_sums":[65249,64344,66685,61113,62018,63267],"interval_residues":[629,442,629,83,270,83],"display_cycle":[629,442,629,83,270,83],"intervals":[{"from_index":171,"to_index":350,"sum":65249,"residue":629},{"from_index":350,"to_index":529,"sum":64344,"residue":442},{"from_index":529,"to_index":708,"sum":66685,"residue":629},{"from_index":708,"to_index":887,"sum":61113,"residue":83},{"from_index":887,"to_index":1066,"sum":62018,"residue":270},{"from_index":1066,"to_index":171,"sum":63267,"residue":83}],"minimal_cycle":[629,442,629,83,270,83],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":629,"start_interval_clock_positions":[171,350],"circle_positions":718,"cycle_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":[172,351,530,709,888,1067],"clock_positions":[172,351,530,709,888,1067],"native_values":[75,372,75,13,434,13],"rotation_degrees":57.6536312849162,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[75,372,75,13,434,13],"beta":{"interval_sums":[65871,63999,66948,61127,62281,63640],"interval_residues":[533,97,174,97,533,456],"display_cycle":[533,97,174,97,533,456],"intervals":[{"from_index":172,"to_index":351,"sum":65871,"residue":533},{"from_index":351,"to_index":530,"sum":63999,"residue":97},{"from_index":530,"to_index":709,"sum":66948,"residue":174},{"from_index":709,"to_index":888,"sum":61127,"residue":97},{"from_index":888,"to_index":1067,"sum":62281,"residue":533},{"from_index":1067,"to_index":172,"sum":63640,"residue":456}],"minimal_cycle":[533,97,174,97,533,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":533,"start_interval_clock_positions":[172,351],"circle_positions":718,"cycle_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":[173,352,531,710,889,1068],"clock_positions":[173,352,531,710,889,1068],"native_values":[461,351,102,351,461,710],"rotation_degrees":57.98882681564246,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[461,351,102,351,461,710],"beta":{"interval_sums":[65782,63723,66859,61210,61833,63005],"interval_residues":[444,539,85,180,85,539],"display_cycle":[444,539,85,180,85,539],"intervals":[{"from_index":173,"to_index":352,"sum":65782,"residue":444},{"from_index":352,"to_index":531,"sum":63723,"residue":539},{"from_index":531,"to_index":710,"sum":66859,"residue":85},{"from_index":710,"to_index":889,"sum":61210,"residue":180},{"from_index":889,"to_index":1068,"sum":61833,"residue":85},{"from_index":1068,"to_index":173,"sum":63005,"residue":539}],"minimal_cycle":[444,539,85,180,85,539],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[173,352],"circle_positions":718,"cycle_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":[174,353,532,711,890,1069],"clock_positions":[174,353,532,711,890,1069],"native_values":[536,5,177,364,177,5],"rotation_degrees":58.324022346368714,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[536,5,177,364,177,5],"beta":{"interval_sums":[65597,63820,67033,61307,62366,63461],"interval_residues":[259,636,259,277,618,277],"display_cycle":[259,636,259,277,618,277],"intervals":[{"from_index":174,"to_index":353,"sum":65597,"residue":259},{"from_index":353,"to_index":532,"sum":63820,"residue":636},{"from_index":532,"to_index":711,"sum":67033,"residue":259},{"from_index":711,"to_index":890,"sum":61307,"residue":277},{"from_index":890,"to_index":1069,"sum":62366,"residue":618},{"from_index":1069,"to_index":174,"sum":63461,"residue":277}],"minimal_cycle":[259,636,259,277,618,277],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[174,353],"circle_positions":718,"cycle_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":[175,354,533,712,891,1070],"clock_positions":[175,354,533,712,891,1070],"native_values":[279,356,279,715,638,715],"rotation_degrees":58.659217877094974,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,356,279,715,638,715],"beta":{"interval_sums":[65323,63641,67118,60769,61733,63282],"interval_residues":[703,457,344,457,703,98],"display_cycle":[703,457,344,457,703,98],"intervals":[{"from_index":175,"to_index":354,"sum":65323,"residue":703},{"from_index":354,"to_index":533,"sum":63641,"residue":457},{"from_index":533,"to_index":712,"sum":67118,"residue":344},{"from_index":712,"to_index":891,"sum":60769,"residue":457},{"from_index":891,"to_index":1070,"sum":61733,"residue":703},{"from_index":1070,"to_index":175,"sum":63282,"residue":98}],"minimal_cycle":[703,457,344,457,703,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":703,"start_interval_clock_positions":[175,354],"circle_positions":718,"cycle_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":[176,355,534,713,892,1071],"clock_positions":[176,355,534,713,892,1071],"native_values":[97,361,456,361,97,2],"rotation_degrees":58.99441340782123,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,361,456,361,97,2],"beta":{"interval_sums":[65582,63559,67377,61046,62351,63559],"interval_residues":[244,375,603,16,603,375],"display_cycle":[244,375,603,16,603,375],"intervals":[{"from_index":176,"to_index":355,"sum":65582,"residue":244},{"from_index":355,"to_index":534,"sum":63559,"residue":375},{"from_index":534,"to_index":713,"sum":67377,"residue":603},{"from_index":713,"to_index":892,"sum":61046,"residue":16},{"from_index":892,"to_index":1071,"sum":62351,"residue":603},{"from_index":1071,"to_index":176,"sum":63559,"residue":375}],"minimal_cycle":[244,375,603,16,603,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[176,355],"circle_positions":718,"cycle_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":[177,356,535,714,893,1072],"clock_positions":[177,356,535,714,893,1072],"native_values":[376,717,17,358,17,717],"rotation_degrees":59.32960893854749,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[376,717,17,358,17,717],"beta":{"interval_sums":[65567,63298,67721,60785,62336,62939],"interval_residues":[229,114,229,473,588,473],"display_cycle":[229,114,229,473,588,473],"intervals":[{"from_index":177,"to_index":356,"sum":65567,"residue":229},{"from_index":356,"to_index":535,"sum":63298,"residue":114},{"from_index":535,"to_index":714,"sum":67721,"residue":229},{"from_index":714,"to_index":893,"sum":60785,"residue":473},{"from_index":893,"to_index":1072,"sum":62336,"residue":588},{"from_index":1072,"to_index":177,"sum":62939,"residue":473}],"minimal_cycle":[229,114,229,473,588,473],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[177,356],"circle_positions":718,"cycle_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":[178,357,536,715,894,1073],"clock_positions":[178,357,536,715,894,1073],"native_values":[473,360,473,1,114,1],"rotation_degrees":59.66480446927374,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,360,473,1,114,1],"beta":{"interval_sums":[65811,62955,67606,60801,62939,63314],"interval_residues":[473,489,114,489,473,130],"display_cycle":[473,489,114,489,473,130],"intervals":[{"from_index":178,"to_index":357,"sum":65811,"residue":473},{"from_index":357,"to_index":536,"sum":62955,"residue":489},{"from_index":536,"to_index":715,"sum":67606,"residue":114},{"from_index":715,"to_index":894,"sum":60801,"residue":489},{"from_index":894,"to_index":1073,"sum":62939,"residue":473},{"from_index":1073,"to_index":178,"sum":63314,"residue":130}],"minimal_cycle":[473,489,114,489,473,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[178,357],"circle_positions":718,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]}],"notable_gamma_patterns":[],"research":{"focus":"OXTR gene expression","biological_significance_status":"Not yet assessed","statistical_significance_status":"Not yet assessed","quantum_annealing_status":"Not yet performed","tiers":[{"name":"Creates cellular life","range":[8,10],"wss_score":null,"evidence":[]},{"name":"Supports cellular life","range":[5,7],"wss_score":null,"evidence":[]},{"name":"Creates elemental life","range":[1,4],"wss_score":null,"evidence":[]}],"background_literature":{"register_id":"oxtr-phase1-literature","register_version":"2026-10-18.1","register_file":"research-register.json","relationship":"background_context","scope":"Shared background literature for the initial OXTR research programme across M1–M1001. Studies of related mechanisms in other systems provide context for investigation.","publication_ids":["E01","E02","E03","E04","E05","E06","E07","E08","E09","E10","E11","E12","E13","E14"],"hero_publication_ids":["E03","E06","E08","E11"],"modulus_relevance_status":"Not yet assessed"}},"verification":{"python":"Passed","wolfram":"Passed","scope":"Native period, sequences, regular polygon index spacing and reference Epsilon routes; no physical or biological validation.","wolfram_scope":"Native Pisano period; complete Alpha, primary Gamma indices, Beta interval sums and residues, primary equilateral-triangle and hexagon indices. Independent integer Fibonacci evaluation and SHA-256 comparisons. Extended catalogue, Chevron and native/cycle-based Epsilon are Python-checked.","evidence":"m1001-verification.json"},"reduction_to_m9":{"version":"m9-reduction-v1","target_modulus":9,"status":"Outside divisible-by-nine family","applicable":false,"research_question":"Does the shared M9 pattern have shared biological relevance, or does native-modulus complexity change it? Unassessed: requires peer-reviewed evidence, in silico modelling (including proposed CUDA/CUDA-Q work), and appropriate experimental validation. No spatial-dimension claim or WSS score follows from this arithmetic match.","biological_significance":"Not yet assessed","native_data_preserved":true},"epsilon_m9_comparison":{"rule_version":"epsilon-m9-exact-v2","geometry_identical":true,"reduced_sequence_identical":false,"combined_eligible":false,"alpha_indices":[0,358,895,537,179,716,0],"clock_positions":[1074,358,895,537,179,716,1074],"native_values":[718,359,131,490,131,359,718],"reduced_m9_values":[9,8,5,4,5,8,9],"reference_values":[9,3,6,9,3,6,9],"normalized_route_sixths":[0,2,5,3,1,4,0],"orientation":"clockwise from north; fixed M9 route and starting phase","reason":"Reference geometry exists, but the reduced traversal does not equal 9–3–6–9–3–6–9.","scope":"Tests the fixed north-oriented M9 path on the full native period circle; does not fold the period or rotate/reverse the values to force a match."},"epsilon_assessment":{"rule_version":"native-epsilon-diagnostics-v1","native_369_present":false,"candidate_count":179,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,179,358,537,716,895],"clock_positions":[1074,179,358,537,716,895],"native_values":[718,131,359,490,359,131],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1074,"value":718},{"alpha_index":179,"clock_position":179,"value":131},{"alpha_index":358,"clock_position":358,"value":359},{"alpha_index":537,"clock_position":537,"value":490},{"alpha_index":716,"clock_position":716,"value":359},{"alpha_index":895,"clock_position":895,"value":131}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,180,359,538,717,896],"clock_positions":[1,180,359,538,717,896],"native_values":[1,604,1,245,360,245],"rotation_degrees":0.33519553072625696,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":180,"clock_position":180,"value":604},{"alpha_index":359,"clock_position":359,"value":1},{"alpha_index":538,"clock_position":538,"value":245},{"alpha_index":717,"clock_position":717,"value":360},{"alpha_index":896,"clock_position":896,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,181,360,539,718,897],"clock_positions":[2,181,360,539,718,897],"native_values":[1,17,360,17,1,376],"rotation_degrees":0.6703910614525139,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":181,"clock_position":181,"value":17},{"alpha_index":360,"clock_position":360,"value":360},{"alpha_index":539,"clock_position":539,"value":17},{"alpha_index":718,"clock_position":718,"value":1},{"alpha_index":897,"clock_position":897,"value":376}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,182,361,540,719,898],"clock_positions":[3,182,361,540,719,898],"native_values":[2,621,361,262,361,621],"rotation_degrees":1.005586592178771,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":182,"clock_position":182,"value":621},{"alpha_index":361,"clock_position":361,"value":361},{"alpha_index":540,"clock_position":540,"value":262},{"alpha_index":719,"clock_position":719,"value":361},{"alpha_index":898,"clock_position":898,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,183,362,541,720,899],"clock_positions":[4,183,362,541,720,899],"native_values":[3,638,3,279,362,279],"rotation_degrees":1.3407821229050279,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":638},{"alpha_index":541,"clock_position":541,"value":279},{"alpha_index":720,"clock_position":720,"value":362},{"alpha_index":899,"clock_position":899,"value":279}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,184,363,542,721,900],"clock_positions":[5,184,363,542,721,900],"native_values":[5,541,364,541,5,182],"rotation_degrees":1.675977653631285,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":184,"clock_position":184,"value":541},{"alpha_index":363,"clock_position":363,"value":364},{"alpha_index":542,"clock_position":542,"value":541},{"alpha_index":721,"clock_position":721,"value":5},{"alpha_index":900,"clock_position":900,"value":182}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,185,364,543,722,901],"clock_positions":[6,185,364,543,722,901],"native_values":[8,461,367,102,367,461],"rotation_degrees":2.011173184357542,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":185,"clock_position":185,"value":461},{"alpha_index":364,"clock_position":364,"value":367},{"alpha_index":543,"clock_position":543,"value":102},{"alpha_index":722,"clock_position":722,"value":367},{"alpha_index":901,"clock_position":901,"value":461}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,186,365,544,723,902],"clock_positions":[7,186,365,544,723,902],"native_values":[13,284,13,643,372,643],"rotation_degrees":2.346368715083799,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":186,"clock_position":186,"value":284},{"alpha_index":365,"clock_position":365,"value":13},{"alpha_index":544,"clock_position":544,"value":643},{"alpha_index":723,"clock_position":723,"value":372},{"alpha_index":902,"clock_position":902,"value":643}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,187,366,545,724,903],"clock_positions":[8,187,366,545,724,903],"native_values":[21,27,380,27,21,386],"rotation_degrees":2.6815642458100557,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":187,"clock_position":187,"value":27},{"alpha_index":366,"clock_position":366,"value":380},{"alpha_index":545,"clock_position":545,"value":27},{"alpha_index":724,"clock_position":724,"value":21},{"alpha_index":903,"clock_position":903,"value":386}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,188,367,546,725,904],"clock_positions":[9,188,367,546,725,904],"native_values":[34,311,393,670,393,311],"rotation_degrees":3.016759776536313,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":188,"clock_position":188,"value":311},{"alpha_index":367,"clock_position":367,"value":393},{"alpha_index":546,"clock_position":546,"value":670},{"alpha_index":725,"clock_position":725,"value":393},{"alpha_index":904,"clock_position":904,"value":311}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,189,368,547,726,905],"clock_positions":[10,189,368,547,726,905],"native_values":[55,338,55,697,414,697],"rotation_degrees":3.35195530726257,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":189,"clock_position":189,"value":338},{"alpha_index":368,"clock_position":368,"value":55},{"alpha_index":547,"clock_position":547,"value":697},{"alpha_index":726,"clock_position":726,"value":414},{"alpha_index":905,"clock_position":905,"value":697}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,190,369,548,727,906],"clock_positions":[11,190,369,548,727,906],"native_values":[89,649,448,649,89,290],"rotation_degrees":3.6871508379888267,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":190,"clock_position":190,"value":649},{"alpha_index":369,"clock_position":369,"value":448},{"alpha_index":548,"clock_position":548,"value":649},{"alpha_index":727,"clock_position":727,"value":89},{"alpha_index":906,"clock_position":906,"value":290}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,191,370,549,728,907],"clock_positions":[12,191,370,549,728,907],"native_values":[144,269,503,628,503,269],"rotation_degrees":4.022346368715084,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":191,"clock_position":191,"value":269},{"alpha_index":370,"clock_position":370,"value":503},{"alpha_index":549,"clock_position":549,"value":628},{"alpha_index":728,"clock_position":728,"value":503},{"alpha_index":907,"clock_position":907,"value":269}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,192,371,550,729,908],"clock_positions":[13,192,371,550,729,908],"native_values":[233,200,233,559,592,559],"rotation_degrees":4.35754189944134,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":192,"clock_position":192,"value":200},{"alpha_index":371,"clock_position":371,"value":233},{"alpha_index":550,"clock_position":550,"value":559},{"alpha_index":729,"clock_position":729,"value":592},{"alpha_index":908,"clock_position":908,"value":559}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,193,372,551,730,909],"clock_positions":[14,193,372,551,730,909],"native_values":[377,469,18,469,377,110],"rotation_degrees":4.692737430167598,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":193,"clock_position":193,"value":469},{"alpha_index":372,"clock_position":372,"value":18},{"alpha_index":551,"clock_position":551,"value":469},{"alpha_index":730,"clock_position":730,"value":377},{"alpha_index":909,"clock_position":909,"value":110}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,194,373,552,731,910],"clock_positions":[15,194,373,552,731,910],"native_values":[610,669,251,310,251,669],"rotation_degrees":5.027932960893855,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":194,"clock_position":194,"value":669},{"alpha_index":373,"clock_position":373,"value":251},{"alpha_index":552,"clock_position":552,"value":310},{"alpha_index":731,"clock_position":731,"value":251},{"alpha_index":910,"clock_position":910,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,195,374,553,732,911],"clock_positions":[16,195,374,553,732,911],"native_values":[269,420,269,61,628,61],"rotation_degrees":5.363128491620111,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":269},{"alpha_index":195,"clock_position":195,"value":420},{"alpha_index":374,"clock_position":374,"value":269},{"alpha_index":553,"clock_position":553,"value":61},{"alpha_index":732,"clock_position":732,"value":628},{"alpha_index":911,"clock_position":911,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,196,375,554,733,912],"clock_positions":[17,196,375,554,733,912],"native_values":[161,371,520,371,161,12],"rotation_degrees":5.698324022346369,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":161},{"alpha_index":196,"clock_position":196,"value":371},{"alpha_index":375,"clock_position":375,"value":520},{"alpha_index":554,"clock_position":554,"value":371},{"alpha_index":733,"clock_position":733,"value":161},{"alpha_index":912,"clock_position":912,"value":12}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,197,376,555,734,913],"clock_positions":[18,197,376,555,734,913],"native_values":[430,73,71,432,71,73],"rotation_degrees":6.033519553072626,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":430},{"alpha_index":197,"clock_position":197,"value":73},{"alpha_index":376,"clock_position":376,"value":71},{"alpha_index":555,"clock_position":555,"value":432},{"alpha_index":734,"clock_position":734,"value":71},{"alpha_index":913,"clock_position":913,"value":73}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,198,377,556,735,914],"clock_positions":[19,198,377,556,735,914],"native_values":[591,444,591,85,232,85],"rotation_degrees":6.368715083798882,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":591},{"alpha_index":198,"clock_position":198,"value":444},{"alpha_index":377,"clock_position":377,"value":591},{"alpha_index":556,"clock_position":556,"value":85},{"alpha_index":735,"clock_position":735,"value":232},{"alpha_index":914,"clock_position":914,"value":85}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,199,378,557,736,915],"clock_positions":[20,199,378,557,736,915],"native_values":[303,517,662,517,303,158],"rotation_degrees":6.70391061452514,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":303},{"alpha_index":199,"clock_position":199,"value":517},{"alpha_index":378,"clock_position":378,"value":662},{"alpha_index":557,"clock_position":557,"value":517},{"alpha_index":736,"clock_position":736,"value":303},{"alpha_index":915,"clock_position":915,"value":158}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,200,379,558,737,916],"clock_positions":[21,200,379,558,737,916],"native_values":[176,243,535,602,535,243],"rotation_degrees":7.039106145251397,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":176},{"alpha_index":200,"clock_position":200,"value":243},{"alpha_index":379,"clock_position":379,"value":535},{"alpha_index":558,"clock_position":558,"value":602},{"alpha_index":737,"clock_position":737,"value":535},{"alpha_index":916,"clock_position":916,"value":243}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,201,380,559,738,917],"clock_positions":[22,201,380,559,738,917],"native_values":[479,42,479,401,120,401],"rotation_degrees":7.374301675977653,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":479},{"alpha_index":201,"clock_position":201,"value":42},{"alpha_index":380,"clock_position":380,"value":479},{"alpha_index":559,"clock_position":559,"value":401},{"alpha_index":738,"clock_position":738,"value":120},{"alpha_index":917,"clock_position":917,"value":401}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,202,381,560,739,918],"clock_positions":[23,202,381,560,739,918],"native_values":[655,285,296,285,655,644],"rotation_degrees":7.709497206703911,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":655},{"alpha_index":202,"clock_position":202,"value":285},{"alpha_index":381,"clock_position":381,"value":296},{"alpha_index":560,"clock_position":560,"value":285},{"alpha_index":739,"clock_position":739,"value":655},{"alpha_index":918,"clock_position":918,"value":644}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,203,382,561,740,919],"clock_positions":[24,203,382,561,740,919],"native_values":[416,327,57,686,57,327],"rotation_degrees":8.044692737430168,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":416},{"alpha_index":203,"clock_position":203,"value":327},{"alpha_index":382,"clock_position":382,"value":57},{"alpha_index":561,"clock_position":561,"value":686},{"alpha_index":740,"clock_position":740,"value":57},{"alpha_index":919,"clock_position":919,"value":327}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,204,383,562,741,920],"clock_positions":[25,204,383,562,741,920],"native_values":[353,612,353,253,712,253],"rotation_degrees":8.379888268156424,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":353},{"alpha_index":204,"clock_position":204,"value":612},{"alpha_index":383,"clock_position":383,"value":353},{"alpha_index":562,"clock_position":562,"value":253},{"alpha_index":741,"clock_position":741,"value":712},{"alpha_index":920,"clock_position":920,"value":253}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,205,384,563,742,921],"clock_positions":[26,205,384,563,742,921],"native_values":[51,221,410,221,51,580],"rotation_degrees":8.71508379888268,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":51},{"alpha_index":205,"clock_position":205,"value":221},{"alpha_index":384,"clock_position":384,"value":410},{"alpha_index":563,"clock_position":563,"value":221},{"alpha_index":742,"clock_position":742,"value":51},{"alpha_index":921,"clock_position":921,"value":580}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,206,385,564,743,922],"clock_positions":[27,206,385,564,743,922],"native_values":[404,115,45,474,45,115],"rotation_degrees":9.050279329608939,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":404},{"alpha_index":206,"clock_position":206,"value":115},{"alpha_index":385,"clock_position":385,"value":45},{"alpha_index":564,"clock_position":564,"value":474},{"alpha_index":743,"clock_position":743,"value":45},{"alpha_index":922,"clock_position":922,"value":115}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,207,386,565,744,923],"clock_positions":[28,207,386,565,744,923],"native_values":[455,336,455,695,96,695],"rotation_degrees":9.385474860335195,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":455},{"alpha_index":207,"clock_position":207,"value":336},{"alpha_index":386,"clock_position":386,"value":455},{"alpha_index":565,"clock_position":565,"value":695},{"alpha_index":744,"clock_position":744,"value":96},{"alpha_index":923,"clock_position":923,"value":695}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,208,387,566,745,924],"clock_positions":[29,208,387,566,745,924],"native_values":[141,451,500,451,141,92],"rotation_degrees":9.720670391061452,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":141},{"alpha_index":208,"clock_position":208,"value":451},{"alpha_index":387,"clock_position":387,"value":500},{"alpha_index":566,"clock_position":566,"value":451},{"alpha_index":745,"clock_position":745,"value":141},{"alpha_index":924,"clock_position":924,"value":92}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,209,388,567,746,925],"clock_positions":[30,209,388,567,746,925],"native_values":[596,69,237,428,237,69],"rotation_degrees":10.05586592178771,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":596},{"alpha_index":209,"clock_position":209,"value":69},{"alpha_index":388,"clock_position":388,"value":237},{"alpha_index":567,"clock_position":567,"value":428},{"alpha_index":746,"clock_position":746,"value":237},{"alpha_index":925,"clock_position":925,"value":69}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,210,389,568,747,926],"clock_positions":[31,210,389,568,747,926],"native_values":[19,520,19,161,378,161],"rotation_degrees":10.391061452513966,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":19},{"alpha_index":210,"clock_position":210,"value":520},{"alpha_index":389,"clock_position":389,"value":19},{"alpha_index":568,"clock_position":568,"value":161},{"alpha_index":747,"clock_position":747,"value":378},{"alpha_index":926,"clock_position":926,"value":161}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,211,390,569,748,927],"clock_positions":[32,211,390,569,748,927],"native_values":[615,589,256,589,615,230],"rotation_degrees":10.726256983240223,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":615},{"alpha_index":211,"clock_position":211,"value":589},{"alpha_index":390,"clock_position":390,"value":256},{"alpha_index":569,"clock_position":569,"value":589},{"alpha_index":748,"clock_position":748,"value":615},{"alpha_index":927,"clock_position":927,"value":230}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,212,391,570,749,928],"clock_positions":[33,212,391,570,749,928],"native_values":[634,391,275,32,275,391],"rotation_degrees":11.061452513966481,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":634},{"alpha_index":212,"clock_position":212,"value":391},{"alpha_index":391,"clock_position":391,"value":275},{"alpha_index":570,"clock_position":570,"value":32},{"alpha_index":749,"clock_position":749,"value":275},{"alpha_index":928,"clock_position":928,"value":391}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,213,392,571,750,929],"clock_positions":[34,213,392,571,750,929],"native_values":[531,262,531,621,172,621],"rotation_degrees":11.396648044692737,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":531},{"alpha_index":213,"clock_position":213,"value":262},{"alpha_index":392,"clock_position":392,"value":531},{"alpha_index":571,"clock_position":571,"value":621},{"alpha_index":750,"clock_position":750,"value":172},{"alpha_index":929,"clock_position":929,"value":621}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,214,393,572,751,930],"clock_positions":[35,214,393,572,751,930],"native_values":[447,653,88,653,447,294],"rotation_degrees":11.731843575418994,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":447},{"alpha_index":214,"clock_position":214,"value":653},{"alpha_index":393,"clock_position":393,"value":88},{"alpha_index":572,"clock_position":572,"value":653},{"alpha_index":751,"clock_position":751,"value":447},{"alpha_index":930,"clock_position":930,"value":294}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,215,394,573,752,931],"clock_positions":[36,215,394,573,752,931],"native_values":[260,197,619,556,619,197],"rotation_degrees":12.067039106145252,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":260},{"alpha_index":215,"clock_position":215,"value":197},{"alpha_index":394,"clock_position":394,"value":619},{"alpha_index":573,"clock_position":573,"value":556},{"alpha_index":752,"clock_position":752,"value":619},{"alpha_index":931,"clock_position":931,"value":197}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,216,395,574,753,932],"clock_positions":[37,216,395,574,753,932],"native_values":[707,132,707,491,348,491],"rotation_degrees":12.402234636871508,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":707},{"alpha_index":216,"clock_position":216,"value":132},{"alpha_index":395,"clock_position":395,"value":707},{"alpha_index":574,"clock_position":574,"value":491},{"alpha_index":753,"clock_position":753,"value":348},{"alpha_index":932,"clock_position":932,"value":491}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,217,396,575,754,933],"clock_positions":[38,217,396,575,754,933],"native_values":[249,329,608,329,249,688],"rotation_degrees":12.737430167597765,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":249},{"alpha_index":217,"clock_position":217,"value":329},{"alpha_index":396,"clock_position":396,"value":608},{"alpha_index":575,"clock_position":575,"value":329},{"alpha_index":754,"clock_position":754,"value":249},{"alpha_index":933,"clock_position":933,"value":688}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,218,397,576,755,934],"clock_positions":[39,218,397,576,755,934],"native_values":[238,461,597,102,597,461],"rotation_degrees":13.072625698324023,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":238},{"alpha_index":218,"clock_position":218,"value":461},{"alpha_index":397,"clock_position":397,"value":597},{"alpha_index":576,"clock_position":576,"value":102},{"alpha_index":755,"clock_position":755,"value":597},{"alpha_index":934,"clock_position":934,"value":461}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,219,398,577,756,935],"clock_positions":[40,219,398,577,756,935],"native_values":[487,72,487,431,128,431],"rotation_degrees":13.40782122905028,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":487},{"alpha_index":219,"clock_position":219,"value":72},{"alpha_index":398,"clock_position":398,"value":487},{"alpha_index":577,"clock_position":577,"value":431},{"alpha_index":756,"clock_position":756,"value":128},{"alpha_index":935,"clock_position":935,"value":431}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,220,399,578,757,936],"clock_positions":[41,220,399,578,757,936],"native_values":[7,533,366,533,7,174],"rotation_degrees":13.743016759776536,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":7},{"alpha_index":220,"clock_position":220,"value":533},{"alpha_index":399,"clock_position":399,"value":366},{"alpha_index":578,"clock_position":578,"value":533},{"alpha_index":757,"clock_position":757,"value":7},{"alpha_index":936,"clock_position":936,"value":174}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,221,400,579,758,937],"clock_positions":[42,221,400,579,758,937],"native_values":[494,605,135,246,135,605],"rotation_degrees":14.078212290502794,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":494},{"alpha_index":221,"clock_position":221,"value":605},{"alpha_index":400,"clock_position":400,"value":135},{"alpha_index":579,"clock_position":579,"value":246},{"alpha_index":758,"clock_position":758,"value":135},{"alpha_index":937,"clock_position":937,"value":605}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,222,401,580,759,938],"clock_positions":[43,222,401,580,759,938],"native_values":[501,420,501,61,142,61],"rotation_degrees":14.41340782122905,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":501},{"alpha_index":222,"clock_position":222,"value":420},{"alpha_index":401,"clock_position":401,"value":501},{"alpha_index":580,"clock_position":580,"value":61},{"alpha_index":759,"clock_position":759,"value":142},{"alpha_index":938,"clock_position":938,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,223,402,581,760,939],"clock_positions":[44,223,402,581,760,939],"native_values":[277,307,636,307,277,666],"rotation_degrees":14.748603351955307,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":277},{"alpha_index":223,"clock_position":223,"value":307},{"alpha_index":402,"clock_position":402,"value":636},{"alpha_index":581,"clock_position":581,"value":307},{"alpha_index":760,"clock_position":760,"value":277},{"alpha_index":939,"clock_position":939,"value":666}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,224,403,582,761,940],"clock_positions":[45,224,403,582,761,940],"native_values":[60,9,419,368,419,9],"rotation_degrees":15.083798882681565,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":60},{"alpha_index":403,"clock_position":403,"value":419},{"alpha_index":582,"clock_position":582,"value":368},{"alpha_index":761,"clock_position":761,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,225,404,583,762,941],"clock_positions":[46,225,404,583,762,941],"native_values":[337,316,337,675,696,675],"rotation_degrees":15.418994413407821,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":337},{"alpha_index":225,"clock_position":225,"value":316},{"alpha_index":404,"clock_position":404,"value":337},{"alpha_index":583,"clock_position":583,"value":675},{"alpha_index":762,"clock_position":762,"value":696},{"alpha_index":941,"clock_position":941,"value":675}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,226,405,584,763,942],"clock_positions":[47,226,405,584,763,942],"native_values":[397,325,38,325,397,684],"rotation_degrees":15.754189944134078,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":397},{"alpha_index":226,"clock_position":226,"value":325},{"alpha_index":405,"clock_position":405,"value":38},{"alpha_index":584,"clock_position":584,"value":325},{"alpha_index":763,"clock_position":763,"value":397},{"alpha_index":942,"clock_position":942,"value":684}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,227,406,585,764,943],"clock_positions":[48,227,406,585,764,943],"native_values":[16,641,375,282,375,641],"rotation_degrees":16.089385474860336,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":16},{"alpha_index":227,"clock_position":227,"value":641},{"alpha_index":406,"clock_position":406,"value":375},{"alpha_index":585,"clock_position":585,"value":282},{"alpha_index":764,"clock_position":764,"value":375},{"alpha_index":943,"clock_position":943,"value":641}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,228,407,586,765,944],"clock_positions":[49,228,407,586,765,944],"native_values":[413,248,413,607,54,607],"rotation_degrees":16.424581005586592,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":413},{"alpha_index":228,"clock_position":228,"value":248},{"alpha_index":407,"clock_position":407,"value":413},{"alpha_index":586,"clock_position":586,"value":607},{"alpha_index":765,"clock_position":765,"value":54},{"alpha_index":944,"clock_position":944,"value":607}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,229,408,587,766,945],"clock_positions":[50,229,408,587,766,945],"native_values":[429,171,70,171,429,530],"rotation_degrees":16.75977653631285,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":429},{"alpha_index":229,"clock_position":229,"value":171},{"alpha_index":408,"clock_position":408,"value":70},{"alpha_index":587,"clock_position":587,"value":171},{"alpha_index":766,"clock_position":766,"value":429},{"alpha_index":945,"clock_position":945,"value":530}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,230,409,588,767,946],"clock_positions":[51,230,409,588,767,946],"native_values":[124,419,483,60,483,419],"rotation_degrees":17.094972067039105,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":124},{"alpha_index":230,"clock_position":230,"value":419},{"alpha_index":409,"clock_position":409,"value":483},{"alpha_index":588,"clock_position":588,"value":60},{"alpha_index":767,"clock_position":767,"value":483},{"alpha_index":946,"clock_position":946,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,231,410,589,768,947],"clock_positions":[52,231,410,589,768,947],"native_values":[553,590,553,231,194,231],"rotation_degrees":17.43016759776536,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":553},{"alpha_index":231,"clock_position":231,"value":590},{"alpha_index":410,"clock_position":410,"value":553},{"alpha_index":589,"clock_position":589,"value":231},{"alpha_index":768,"clock_position":768,"value":194},{"alpha_index":947,"clock_position":947,"value":231}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,232,411,590,769,948],"clock_positions":[53,232,411,590,769,948],"native_values":[677,291,318,291,677,650],"rotation_degrees":17.76536312849162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":677},{"alpha_index":232,"clock_position":232,"value":291},{"alpha_index":411,"clock_position":411,"value":318},{"alpha_index":590,"clock_position":590,"value":291},{"alpha_index":769,"clock_position":769,"value":677},{"alpha_index":948,"clock_position":948,"value":650}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,233,412,591,770,949],"clock_positions":[54,233,412,591,770,949],"native_values":[512,163,153,522,153,163],"rotation_degrees":18.100558659217878,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":512},{"alpha_index":233,"clock_position":233,"value":163},{"alpha_index":412,"clock_position":412,"value":153},{"alpha_index":591,"clock_position":591,"value":522},{"alpha_index":770,"clock_position":770,"value":153},{"alpha_index":949,"clock_position":949,"value":163}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,234,413,592,771,950],"clock_positions":[55,234,413,592,771,950],"native_values":[471,454,471,95,112,95],"rotation_degrees":18.435754189944134,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":471},{"alpha_index":234,"clock_position":234,"value":454},{"alpha_index":413,"clock_position":413,"value":471},{"alpha_index":592,"clock_position":592,"value":95},{"alpha_index":771,"clock_position":771,"value":112},{"alpha_index":950,"clock_position":950,"value":95}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,235,414,593,772,951],"clock_positions":[56,235,414,593,772,951],"native_values":[265,617,624,617,265,258],"rotation_degrees":18.77094972067039,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":265},{"alpha_index":235,"clock_position":235,"value":617},{"alpha_index":414,"clock_position":414,"value":624},{"alpha_index":593,"clock_position":593,"value":617},{"alpha_index":772,"clock_position":772,"value":265},{"alpha_index":951,"clock_position":951,"value":258}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,236,415,594,773,952],"clock_positions":[57,236,415,594,773,952],"native_values":[18,353,377,712,377,353],"rotation_degrees":19.106145251396647,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":18},{"alpha_index":236,"clock_position":236,"value":353},{"alpha_index":415,"clock_position":415,"value":377},{"alpha_index":594,"clock_position":594,"value":712},{"alpha_index":773,"clock_position":773,"value":377},{"alpha_index":952,"clock_position":952,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,237,416,595,774,953],"clock_positions":[58,237,416,595,774,953],"native_values":[283,252,283,611,642,611],"rotation_degrees":19.441340782122904,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":283},{"alpha_index":237,"clock_position":237,"value":252},{"alpha_index":416,"clock_position":416,"value":283},{"alpha_index":595,"clock_position":595,"value":611},{"alpha_index":774,"clock_position":774,"value":642},{"alpha_index":953,"clock_position":953,"value":611}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,238,417,596,775,954],"clock_positions":[59,238,417,596,775,954],"native_values":[301,605,660,605,301,246],"rotation_degrees":19.776536312849164,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":301},{"alpha_index":238,"clock_position":238,"value":605},{"alpha_index":417,"clock_position":417,"value":660},{"alpha_index":596,"clock_position":596,"value":605},{"alpha_index":775,"clock_position":775,"value":301},{"alpha_index":954,"clock_position":954,"value":246}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,239,418,597,776,955],"clock_positions":[60,239,418,597,776,955],"native_values":[584,139,225,498,225,139],"rotation_degrees":20.11173184357542,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":584},{"alpha_index":239,"clock_position":239,"value":139},{"alpha_index":418,"clock_position":418,"value":225},{"alpha_index":597,"clock_position":597,"value":498},{"alpha_index":776,"clock_position":776,"value":225},{"alpha_index":955,"clock_position":955,"value":139}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,240,419,598,777,956],"clock_positions":[61,240,419,598,777,956],"native_values":[167,26,167,385,526,385],"rotation_degrees":20.446927374301676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":167},{"alpha_index":240,"clock_position":240,"value":26},{"alpha_index":419,"clock_position":419,"value":167},{"alpha_index":598,"clock_position":598,"value":385},{"alpha_index":777,"clock_position":777,"value":526},{"alpha_index":956,"clock_position":956,"value":385}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,241,420,599,778,957],"clock_positions":[62,241,420,599,778,957],"native_values":[33,165,392,165,33,524],"rotation_degrees":20.782122905027933,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":33},{"alpha_index":241,"clock_position":241,"value":165},{"alpha_index":420,"clock_position":420,"value":392},{"alpha_index":599,"clock_position":599,"value":165},{"alpha_index":778,"clock_position":778,"value":33},{"alpha_index":957,"clock_position":957,"value":524}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,242,421,600,779,958],"clock_positions":[63,242,421,600,779,958],"native_values":[200,191,559,550,559,191],"rotation_degrees":21.11731843575419,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":200},{"alpha_index":242,"clock_position":242,"value":191},{"alpha_index":421,"clock_position":421,"value":559},{"alpha_index":600,"clock_position":600,"value":550},{"alpha_index":779,"clock_position":779,"value":559},{"alpha_index":958,"clock_position":958,"value":191}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,243,422,601,780,959],"clock_positions":[64,243,422,601,780,959],"native_values":[233,356,233,715,592,715],"rotation_degrees":21.452513966480446,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":233},{"alpha_index":243,"clock_position":243,"value":356},{"alpha_index":422,"clock_position":422,"value":233},{"alpha_index":601,"clock_position":601,"value":715},{"alpha_index":780,"clock_position":780,"value":592},{"alpha_index":959,"clock_position":959,"value":715}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,244,423,602,781,960],"clock_positions":[65,244,423,602,781,960],"native_values":[433,547,74,547,433,188],"rotation_degrees":21.787709497206706,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":433},{"alpha_index":244,"clock_position":244,"value":547},{"alpha_index":423,"clock_position":423,"value":74},{"alpha_index":602,"clock_position":602,"value":547},{"alpha_index":781,"clock_position":781,"value":433},{"alpha_index":960,"clock_position":960,"value":188}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,245,424,603,782,961],"clock_positions":[66,245,424,603,782,961],"native_values":[666,185,307,544,307,185],"rotation_degrees":22.122905027932962,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":666},{"alpha_index":245,"clock_position":245,"value":185},{"alpha_index":424,"clock_position":424,"value":307},{"alpha_index":603,"clock_position":603,"value":544},{"alpha_index":782,"clock_position":782,"value":307},{"alpha_index":961,"clock_position":961,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,246,425,604,783,962],"clock_positions":[67,246,425,604,783,962],"native_values":[381,14,381,373,22,373],"rotation_degrees":22.45810055865922,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":381},{"alpha_index":246,"clock_position":246,"value":14},{"alpha_index":425,"clock_position":425,"value":381},{"alpha_index":604,"clock_position":604,"value":373},{"alpha_index":783,"clock_position":783,"value":22},{"alpha_index":962,"clock_position":962,"value":373}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,247,426,605,784,963],"clock_positions":[68,247,426,605,784,963],"native_values":[329,199,688,199,329,558],"rotation_degrees":22.793296089385475,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":329},{"alpha_index":247,"clock_position":247,"value":199},{"alpha_index":426,"clock_position":426,"value":688},{"alpha_index":605,"clock_position":605,"value":199},{"alpha_index":784,"clock_position":784,"value":329},{"alpha_index":963,"clock_position":963,"value":558}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,248,427,606,785,964],"clock_positions":[69,248,427,606,785,964],"native_values":[710,213,351,572,351,213],"rotation_degrees":23.12849162011173,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":710},{"alpha_index":248,"clock_position":248,"value":213},{"alpha_index":427,"clock_position":427,"value":351},{"alpha_index":606,"clock_position":606,"value":572},{"alpha_index":785,"clock_position":785,"value":351},{"alpha_index":964,"clock_position":964,"value":213}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,249,428,607,786,965],"clock_positions":[70,249,428,607,786,965],"native_values":[321,412,321,53,680,53],"rotation_degrees":23.463687150837988,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":321},{"alpha_index":249,"clock_position":249,"value":412},{"alpha_index":428,"clock_position":428,"value":321},{"alpha_index":607,"clock_position":607,"value":53},{"alpha_index":786,"clock_position":786,"value":680},{"alpha_index":965,"clock_position":965,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,250,429,608,787,966],"clock_positions":[71,250,429,608,787,966],"native_values":[313,625,672,625,313,266],"rotation_degrees":23.798882681564248,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":313},{"alpha_index":250,"clock_position":250,"value":625},{"alpha_index":429,"clock_position":429,"value":672},{"alpha_index":608,"clock_position":608,"value":625},{"alpha_index":787,"clock_position":787,"value":313},{"alpha_index":966,"clock_position":966,"value":266}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,251,430,609,788,967],"clock_positions":[72,251,430,609,788,967],"native_values":[634,319,275,678,275,319],"rotation_degrees":24.134078212290504,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":634},{"alpha_index":251,"clock_position":251,"value":319},{"alpha_index":430,"clock_position":430,"value":275},{"alpha_index":609,"clock_position":609,"value":678},{"alpha_index":788,"clock_position":788,"value":275},{"alpha_index":967,"clock_position":967,"value":319}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,252,431,610,789,968],"clock_positions":[73,252,431,610,789,968],"native_values":[229,226,229,585,588,585],"rotation_degrees":24.46927374301676,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":229},{"alpha_index":252,"clock_position":252,"value":226},{"alpha_index":431,"clock_position":431,"value":229},{"alpha_index":610,"clock_position":610,"value":585},{"alpha_index":789,"clock_position":789,"value":588},{"alpha_index":968,"clock_position":968,"value":585}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,253,432,611,790,969],"clock_positions":[74,253,432,611,790,969],"native_values":[145,545,504,545,145,186],"rotation_degrees":24.804469273743017,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":145},{"alpha_index":253,"clock_position":253,"value":545},{"alpha_index":432,"clock_position":432,"value":504},{"alpha_index":611,"clock_position":611,"value":545},{"alpha_index":790,"clock_position":790,"value":145},{"alpha_index":969,"clock_position":969,"value":186}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,254,433,612,791,970],"clock_positions":[75,254,433,612,791,970],"native_values":[374,53,15,412,15,53],"rotation_degrees":25.139664804469273,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":374},{"alpha_index":254,"clock_position":254,"value":53},{"alpha_index":433,"clock_position":433,"value":15},{"alpha_index":612,"clock_position":612,"value":412},{"alpha_index":791,"clock_position":791,"value":15},{"alpha_index":970,"clock_position":970,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,255,434,613,792,971],"clock_positions":[76,255,434,613,792,971],"native_values":[519,598,519,239,160,239],"rotation_degrees":25.47486033519553,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":519},{"alpha_index":255,"clock_position":255,"value":598},{"alpha_index":434,"clock_position":434,"value":519},{"alpha_index":613,"clock_position":613,"value":239},{"alpha_index":792,"clock_position":792,"value":160},{"alpha_index":971,"clock_position":971,"value":239}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,256,435,614,793,972],"clock_positions":[77,256,435,614,793,972],"native_values":[175,651,534,651,175,292],"rotation_degrees":25.810055865921786,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":175},{"alpha_index":256,"clock_position":256,"value":651},{"alpha_index":435,"clock_position":435,"value":534},{"alpha_index":614,"clock_position":614,"value":651},{"alpha_index":793,"clock_position":793,"value":175},{"alpha_index":972,"clock_position":972,"value":292}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,257,436,615,794,973],"clock_positions":[78,257,436,615,794,973],"native_values":[694,531,335,172,335,531],"rotation_degrees":26.145251396648046,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":694},{"alpha_index":257,"clock_position":257,"value":531},{"alpha_index":436,"clock_position":436,"value":335},{"alpha_index":615,"clock_position":615,"value":172},{"alpha_index":794,"clock_position":794,"value":335},{"alpha_index":973,"clock_position":973,"value":531}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,258,437,616,795,974],"clock_positions":[79,258,437,616,795,974],"native_values":[151,464,151,105,510,105],"rotation_degrees":26.480446927374302,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":151},{"alpha_index":258,"clock_position":258,"value":464},{"alpha_index":437,"clock_position":437,"value":151},{"alpha_index":616,"clock_position":616,"value":105},{"alpha_index":795,"clock_position":795,"value":510},{"alpha_index":974,"clock_position":974,"value":105}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,259,438,617,796,975],"clock_positions":[80,259,438,617,796,975],"native_values":[127,277,486,277,127,636],"rotation_degrees":26.81564245810056,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":127},{"alpha_index":259,"clock_position":259,"value":277},{"alpha_index":438,"clock_position":438,"value":486},{"alpha_index":617,"clock_position":617,"value":277},{"alpha_index":796,"clock_position":796,"value":127},{"alpha_index":975,"clock_position":975,"value":636}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,260,439,618,797,976],"clock_positions":[81,260,439,618,797,976],"native_values":[278,23,637,382,637,23],"rotation_degrees":27.150837988826815,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":278},{"alpha_index":260,"clock_position":260,"value":23},{"alpha_index":439,"clock_position":439,"value":637},{"alpha_index":618,"clock_position":618,"value":382},{"alpha_index":797,"clock_position":797,"value":637},{"alpha_index":976,"clock_position":976,"value":23}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,261,440,619,798,977],"clock_positions":[82,261,440,619,798,977],"native_values":[405,300,405,659,46,659],"rotation_degrees":27.48603351955307,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":405},{"alpha_index":261,"clock_position":261,"value":300},{"alpha_index":440,"clock_position":440,"value":405},{"alpha_index":619,"clock_position":619,"value":659},{"alpha_index":798,"clock_position":798,"value":46},{"alpha_index":977,"clock_position":977,"value":659}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,262,441,620,799,978],"clock_positions":[83,262,441,620,799,978],"native_values":[683,323,324,323,683,682],"rotation_degrees":27.821229050279328,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":683},{"alpha_index":262,"clock_position":262,"value":323},{"alpha_index":441,"clock_position":441,"value":324},{"alpha_index":620,"clock_position":620,"value":323},{"alpha_index":799,"clock_position":799,"value":683},{"alpha_index":978,"clock_position":978,"value":682}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,263,442,621,800,979],"clock_positions":[84,263,442,621,800,979],"native_values":[370,623,11,264,11,623],"rotation_degrees":28.156424581005588,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":370},{"alpha_index":263,"clock_position":263,"value":623},{"alpha_index":442,"clock_position":442,"value":11},{"alpha_index":621,"clock_position":621,"value":264},{"alpha_index":800,"clock_position":800,"value":11},{"alpha_index":979,"clock_position":979,"value":623}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,264,443,622,801,980],"clock_positions":[85,264,443,622,801,980],"native_values":[335,228,335,587,694,587],"rotation_degrees":28.491620111731844,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":335},{"alpha_index":264,"clock_position":264,"value":228},{"alpha_index":443,"clock_position":443,"value":335},{"alpha_index":622,"clock_position":622,"value":587},{"alpha_index":801,"clock_position":801,"value":694},{"alpha_index":980,"clock_position":980,"value":587}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,265,444,623,802,981],"clock_positions":[86,265,444,623,802,981],"native_values":[705,133,346,133,705,492],"rotation_degrees":28.8268156424581,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":705},{"alpha_index":265,"clock_position":265,"value":133},{"alpha_index":444,"clock_position":444,"value":346},{"alpha_index":623,"clock_position":623,"value":133},{"alpha_index":802,"clock_position":802,"value":705},{"alpha_index":981,"clock_position":981,"value":492}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,266,445,624,803,982],"clock_positions":[87,266,445,624,803,982],"native_values":[322,361,681,2,681,361],"rotation_degrees":29.162011173184357,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":322},{"alpha_index":266,"clock_position":266,"value":361},{"alpha_index":445,"clock_position":445,"value":681},{"alpha_index":624,"clock_position":624,"value":2},{"alpha_index":803,"clock_position":803,"value":681},{"alpha_index":982,"clock_position":982,"value":361}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,267,446,625,804,983],"clock_positions":[88,267,446,625,804,983],"native_values":[309,494,309,135,668,135],"rotation_degrees":29.497206703910614,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":309},{"alpha_index":267,"clock_position":267,"value":494},{"alpha_index":446,"clock_position":446,"value":309},{"alpha_index":625,"clock_position":625,"value":135},{"alpha_index":804,"clock_position":804,"value":668},{"alpha_index":983,"clock_position":983,"value":135}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,268,447,626,805,984],"clock_positions":[89,268,447,626,805,984],"native_values":[631,137,272,137,631,496],"rotation_degrees":29.83240223463687,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":631},{"alpha_index":268,"clock_position":268,"value":137},{"alpha_index":447,"clock_position":447,"value":272},{"alpha_index":626,"clock_position":626,"value":137},{"alpha_index":805,"clock_position":805,"value":631},{"alpha_index":984,"clock_position":984,"value":496}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,269,448,627,806,985],"clock_positions":[90,269,448,627,806,985],"native_values":[222,631,581,272,581,631],"rotation_degrees":30.16759776536313,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":222},{"alpha_index":269,"clock_position":269,"value":631},{"alpha_index":448,"clock_position":448,"value":581},{"alpha_index":627,"clock_position":627,"value":272},{"alpha_index":806,"clock_position":806,"value":581},{"alpha_index":985,"clock_position":985,"value":631}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,270,449,628,807,986],"clock_positions":[91,270,449,628,807,986],"native_values":[135,50,135,409,494,409],"rotation_degrees":30.502793296089386,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":135},{"alpha_index":270,"clock_position":270,"value":50},{"alpha_index":449,"clock_position":449,"value":135},{"alpha_index":628,"clock_position":628,"value":409},{"alpha_index":807,"clock_position":807,"value":494},{"alpha_index":986,"clock_position":986,"value":409}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,271,450,629,808,987],"clock_positions":[92,271,450,629,808,987],"native_values":[357,681,716,681,357,322],"rotation_degrees":30.837988826815643,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":357},{"alpha_index":271,"clock_position":271,"value":681},{"alpha_index":450,"clock_position":450,"value":716},{"alpha_index":629,"clock_position":629,"value":681},{"alpha_index":808,"clock_position":808,"value":357},{"alpha_index":987,"clock_position":987,"value":322}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,272,451,630,809,988],"clock_positions":[93,272,451,630,809,988],"native_values":[492,13,133,372,133,13],"rotation_degrees":31.1731843575419,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":492},{"alpha_index":272,"clock_position":272,"value":13},{"alpha_index":451,"clock_position":451,"value":133},{"alpha_index":630,"clock_position":630,"value":372},{"alpha_index":809,"clock_position":809,"value":133},{"alpha_index":988,"clock_position":988,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,273,452,631,810,989],"clock_positions":[94,273,452,631,810,989],"native_values":[131,694,131,335,490,335],"rotation_degrees":31.508379888268156,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":131},{"alpha_index":273,"clock_position":273,"value":694},{"alpha_index":452,"clock_position":452,"value":131},{"alpha_index":631,"clock_position":631,"value":335},{"alpha_index":810,"clock_position":810,"value":490},{"alpha_index":989,"clock_position":989,"value":335}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,274,453,632,811,990],"clock_positions":[95,274,453,632,811,990],"native_values":[623,707,264,707,623,348],"rotation_degrees":31.843575418994412,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":623},{"alpha_index":274,"clock_position":274,"value":707},{"alpha_index":453,"clock_position":453,"value":264},{"alpha_index":632,"clock_position":632,"value":707},{"alpha_index":811,"clock_position":811,"value":623},{"alpha_index":990,"clock_position":990,"value":348}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,275,454,633,812,991],"clock_positions":[96,275,454,633,812,991],"native_values":[36,683,395,324,395,683],"rotation_degrees":32.17877094972067,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":36},{"alpha_index":275,"clock_position":275,"value":683},{"alpha_index":454,"clock_position":454,"value":395},{"alpha_index":633,"clock_position":633,"value":324},{"alpha_index":812,"clock_position":812,"value":395},{"alpha_index":991,"clock_position":991,"value":683}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,276,455,634,813,992],"clock_positions":[97,276,455,634,813,992],"native_values":[659,672,659,313,300,313],"rotation_degrees":32.513966480446925,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":659},{"alpha_index":276,"clock_position":276,"value":672},{"alpha_index":455,"clock_position":455,"value":659},{"alpha_index":634,"clock_position":634,"value":313},{"alpha_index":813,"clock_position":813,"value":300},{"alpha_index":992,"clock_position":992,"value":313}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,277,456,635,814,993],"clock_positions":[98,277,456,635,814,993],"native_values":[695,637,336,637,695,278],"rotation_degrees":32.849162011173185,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":695},{"alpha_index":277,"clock_position":277,"value":637},{"alpha_index":456,"clock_position":456,"value":336},{"alpha_index":635,"clock_position":635,"value":637},{"alpha_index":814,"clock_position":814,"value":695},{"alpha_index":993,"clock_position":993,"value":278}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,278,457,636,815,994],"clock_positions":[99,278,457,636,815,994],"native_values":[636,591,277,232,277,591],"rotation_degrees":33.184357541899445,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":636},{"alpha_index":278,"clock_position":278,"value":591},{"alpha_index":457,"clock_position":457,"value":277},{"alpha_index":636,"clock_position":636,"value":232},{"alpha_index":815,"clock_position":815,"value":277},{"alpha_index":994,"clock_position":994,"value":591}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,279,458,637,816,995],"clock_positions":[100,279,458,637,816,995],"native_values":[613,510,613,151,254,151],"rotation_degrees":33.5195530726257,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":613},{"alpha_index":279,"clock_position":279,"value":510},{"alpha_index":458,"clock_position":458,"value":613},{"alpha_index":637,"clock_position":637,"value":151},{"alpha_index":816,"clock_position":816,"value":254},{"alpha_index":995,"clock_position":995,"value":151}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,280,459,638,817,996],"clock_positions":[101,280,459,638,817,996],"native_values":[531,383,172,383,531,24],"rotation_degrees":33.85474860335196,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":531},{"alpha_index":280,"clock_position":280,"value":383},{"alpha_index":459,"clock_position":459,"value":172},{"alpha_index":638,"clock_position":638,"value":383},{"alpha_index":817,"clock_position":817,"value":531},{"alpha_index":996,"clock_position":996,"value":24}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,281,460,639,818,997],"clock_positions":[102,281,460,639,818,997],"native_values":[426,175,67,534,67,175],"rotation_degrees":34.18994413407821,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":426},{"alpha_index":281,"clock_position":281,"value":175},{"alpha_index":460,"clock_position":460,"value":67},{"alpha_index":639,"clock_position":639,"value":534},{"alpha_index":818,"clock_position":818,"value":67},{"alpha_index":997,"clock_position":997,"value":175}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,282,461,640,819,998],"clock_positions":[103,282,461,640,819,998],"native_values":[239,558,239,199,598,199],"rotation_degrees":34.52513966480447,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":239},{"alpha_index":282,"clock_position":282,"value":558},{"alpha_index":461,"clock_position":461,"value":239},{"alpha_index":640,"clock_position":640,"value":199},{"alpha_index":819,"clock_position":819,"value":598},{"alpha_index":998,"clock_position":998,"value":199}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,283,462,641,820,999],"clock_positions":[104,283,462,641,820,999],"native_values":[665,15,306,15,665,374],"rotation_degrees":34.86033519553072,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":665},{"alpha_index":283,"clock_position":283,"value":15},{"alpha_index":462,"clock_position":462,"value":306},{"alpha_index":641,"clock_position":641,"value":15},{"alpha_index":820,"clock_position":820,"value":665},{"alpha_index":999,"clock_position":999,"value":374}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,284,463,642,821,1000],"clock_positions":[105,284,463,642,821,1000],"native_values":[186,573,545,214,545,573],"rotation_degrees":35.19553072625698,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":186},{"alpha_index":284,"clock_position":284,"value":573},{"alpha_index":463,"clock_position":463,"value":545},{"alpha_index":642,"clock_position":642,"value":214},{"alpha_index":821,"clock_position":821,"value":545},{"alpha_index":1000,"clock_position":1000,"value":573}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,285,464,643,822,1001],"clock_positions":[106,285,464,643,822,1001],"native_values":[133,588,133,229,492,229],"rotation_degrees":35.53072625698324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":133},{"alpha_index":285,"clock_position":285,"value":588},{"alpha_index":464,"clock_position":464,"value":133},{"alpha_index":643,"clock_position":643,"value":229},{"alpha_index":822,"clock_position":822,"value":492},{"alpha_index":1001,"clock_position":1001,"value":229}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,286,465,644,823,1002],"clock_positions":[107,286,465,644,823,1002],"native_values":[319,443,678,443,319,84],"rotation_degrees":35.865921787709496,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":319},{"alpha_index":286,"clock_position":286,"value":443},{"alpha_index":465,"clock_position":465,"value":678},{"alpha_index":644,"clock_position":644,"value":443},{"alpha_index":823,"clock_position":823,"value":319},{"alpha_index":1002,"clock_position":1002,"value":84}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,287,466,645,824,1003],"clock_positions":[108,287,466,645,824,1003],"native_values":[452,313,93,672,93,313],"rotation_degrees":36.201117318435756,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":452},{"alpha_index":287,"clock_position":287,"value":313},{"alpha_index":466,"clock_position":466,"value":93},{"alpha_index":645,"clock_position":645,"value":672},{"alpha_index":824,"clock_position":824,"value":93},{"alpha_index":1003,"clock_position":1003,"value":313}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,288,467,646,825,1004],"clock_positions":[109,288,467,646,825,1004],"native_values":[53,38,53,397,412,397],"rotation_degrees":36.53631284916201,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":109,"clock_position":109,"value":53},{"alpha_index":288,"clock_position":288,"value":38},{"alpha_index":467,"clock_position":467,"value":53},{"alpha_index":646,"clock_position":646,"value":397},{"alpha_index":825,"clock_position":825,"value":412},{"alpha_index":1004,"clock_position":1004,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,289,468,647,826,1005],"clock_positions":[110,289,468,647,826,1005],"native_values":[505,351,146,351,505,710],"rotation_degrees":36.87150837988827,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":505},{"alpha_index":289,"clock_position":289,"value":351},{"alpha_index":468,"clock_position":468,"value":146},{"alpha_index":647,"clock_position":647,"value":351},{"alpha_index":826,"clock_position":826,"value":505},{"alpha_index":1005,"clock_position":1005,"value":710}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,290,469,648,827,1006],"clock_positions":[111,290,469,648,827,1006],"native_values":[558,389,199,30,199,389],"rotation_degrees":37.20670391061452,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":558},{"alpha_index":290,"clock_position":290,"value":389},{"alpha_index":469,"clock_position":469,"value":199},{"alpha_index":648,"clock_position":648,"value":30},{"alpha_index":827,"clock_position":827,"value":199},{"alpha_index":1006,"clock_position":1006,"value":389}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,291,470,649,828,1007],"clock_positions":[112,291,470,649,828,1007],"native_values":[345,22,345,381,704,381],"rotation_degrees":37.54189944134078,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":345},{"alpha_index":291,"clock_position":291,"value":22},{"alpha_index":470,"clock_position":470,"value":345},{"alpha_index":649,"clock_position":649,"value":381},{"alpha_index":828,"clock_position":828,"value":704},{"alpha_index":1007,"clock_position":1007,"value":381}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,292,471,650,829,1008],"clock_positions":[113,292,471,650,829,1008],"native_values":[185,411,544,411,185,52],"rotation_degrees":37.87709497206704,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":185},{"alpha_index":292,"clock_position":292,"value":411},{"alpha_index":471,"clock_position":471,"value":544},{"alpha_index":650,"clock_position":650,"value":411},{"alpha_index":829,"clock_position":829,"value":185},{"alpha_index":1008,"clock_position":1008,"value":52}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,293,472,651,830,1009],"clock_positions":[114,293,472,651,830,1009],"native_values":[530,433,171,74,171,433],"rotation_degrees":38.212290502793294,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":530},{"alpha_index":293,"clock_position":293,"value":433},{"alpha_index":472,"clock_position":472,"value":171},{"alpha_index":651,"clock_position":651,"value":74},{"alpha_index":830,"clock_position":830,"value":171},{"alpha_index":1009,"clock_position":1009,"value":433}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,294,473,652,831,1010],"clock_positions":[115,294,473,652,831,1010],"native_values":[715,126,715,485,356,485],"rotation_degrees":38.547486033519554,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":715},{"alpha_index":294,"clock_position":294,"value":126},{"alpha_index":473,"clock_position":473,"value":715},{"alpha_index":652,"clock_position":652,"value":485},{"alpha_index":831,"clock_position":831,"value":356},{"alpha_index":1010,"clock_position":1010,"value":485}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,295,474,653,832,1011],"clock_positions":[116,295,474,653,832,1011],"native_values":[527,559,168,559,527,200],"rotation_degrees":38.88268156424581,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":527},{"alpha_index":295,"clock_position":295,"value":559},{"alpha_index":474,"clock_position":474,"value":168},{"alpha_index":653,"clock_position":653,"value":559},{"alpha_index":832,"clock_position":832,"value":527},{"alpha_index":1011,"clock_position":1011,"value":200}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,296,475,654,833,1012],"clock_positions":[117,296,475,654,833,1012],"native_values":[524,685,165,326,165,685],"rotation_degrees":39.21787709497207,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":524},{"alpha_index":296,"clock_position":296,"value":685},{"alpha_index":475,"clock_position":475,"value":165},{"alpha_index":654,"clock_position":654,"value":326},{"alpha_index":833,"clock_position":833,"value":165},{"alpha_index":1012,"clock_position":1012,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,297,476,655,834,1013],"clock_positions":[118,297,476,655,834,1013],"native_values":[333,526,333,167,692,167],"rotation_degrees":39.55307262569833,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":333},{"alpha_index":297,"clock_position":297,"value":526},{"alpha_index":476,"clock_position":476,"value":333},{"alpha_index":655,"clock_position":655,"value":167},{"alpha_index":834,"clock_position":834,"value":692},{"alpha_index":1013,"clock_position":1013,"value":167}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,298,477,656,835,1014],"clock_positions":[119,298,477,656,835,1014],"native_values":[139,493,498,493,139,134],"rotation_degrees":39.88826815642458,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":139},{"alpha_index":298,"clock_position":298,"value":493},{"alpha_index":477,"clock_position":477,"value":498},{"alpha_index":656,"clock_position":656,"value":493},{"alpha_index":835,"clock_position":835,"value":139},{"alpha_index":1014,"clock_position":1014,"value":134}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,299,478,657,836,1015],"clock_positions":[120,299,478,657,836,1015],"native_values":[472,301,113,660,113,301],"rotation_degrees":40.22346368715084,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":472},{"alpha_index":299,"clock_position":299,"value":301},{"alpha_index":478,"clock_position":478,"value":113},{"alpha_index":657,"clock_position":657,"value":660},{"alpha_index":836,"clock_position":836,"value":113},{"alpha_index":1015,"clock_position":1015,"value":301}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,300,479,658,837,1016],"clock_positions":[121,300,479,658,837,1016],"native_values":[611,76,611,435,252,435],"rotation_degrees":40.55865921787709,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":611},{"alpha_index":300,"clock_position":300,"value":76},{"alpha_index":479,"clock_position":479,"value":611},{"alpha_index":658,"clock_position":658,"value":435},{"alpha_index":837,"clock_position":837,"value":252},{"alpha_index":1016,"clock_position":1016,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,301,480,659,838,1017],"clock_positions":[122,301,480,659,838,1017],"native_values":[365,377,6,377,365,18],"rotation_degrees":40.89385474860335,"missing_required_values":[3,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":365},{"alpha_index":301,"clock_position":301,"value":377},{"alpha_index":659,"clock_position":659,"value":377},{"alpha_index":838,"clock_position":838,"value":365},{"alpha_index":1017,"clock_position":1017,"value":18}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,302,481,660,839,1018],"clock_positions":[123,302,481,660,839,1018],"native_values":[258,453,617,94,617,453],"rotation_degrees":41.229050279329606,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":258},{"alpha_index":302,"clock_position":302,"value":453},{"alpha_index":481,"clock_position":481,"value":617},{"alpha_index":660,"clock_position":660,"value":94},{"alpha_index":839,"clock_position":839,"value":617},{"alpha_index":1018,"clock_position":1018,"value":453}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,303,482,661,840,1019],"clock_positions":[124,303,482,661,840,1019],"native_values":[623,112,623,471,264,471],"rotation_degrees":41.564245810055866,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":623},{"alpha_index":303,"clock_position":303,"value":112},{"alpha_index":482,"clock_position":482,"value":623},{"alpha_index":661,"clock_position":661,"value":471},{"alpha_index":840,"clock_position":840,"value":264},{"alpha_index":1019,"clock_position":1019,"value":471}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,304,483,662,841,1020],"clock_positions":[125,304,483,662,841,1020],"native_values":[163,565,522,565,163,206],"rotation_degrees":41.899441340782126,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":163},{"alpha_index":304,"clock_position":304,"value":565},{"alpha_index":483,"clock_position":483,"value":522},{"alpha_index":662,"clock_position":662,"value":565},{"alpha_index":841,"clock_position":841,"value":163},{"alpha_index":1020,"clock_position":1020,"value":206}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,305,484,663,842,1021],"clock_positions":[126,305,484,663,842,1021],"native_values":[68,677,427,318,427,677],"rotation_degrees":42.23463687150838,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":68},{"alpha_index":305,"clock_position":305,"value":677},{"alpha_index":484,"clock_position":484,"value":427},{"alpha_index":663,"clock_position":663,"value":318},{"alpha_index":842,"clock_position":842,"value":427},{"alpha_index":1021,"clock_position":1021,"value":677}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,306,485,664,843,1022],"clock_positions":[127,306,485,664,843,1022],"native_values":[231,524,231,165,590,165],"rotation_degrees":42.56983240223464,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":231},{"alpha_index":306,"clock_position":306,"value":524},{"alpha_index":485,"clock_position":485,"value":231},{"alpha_index":664,"clock_position":664,"value":165},{"alpha_index":843,"clock_position":843,"value":590},{"alpha_index":1022,"clock_position":1022,"value":165}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,307,486,665,844,1023],"clock_positions":[128,307,486,665,844,1023],"native_values":[299,483,658,483,299,124],"rotation_degrees":42.90502793296089,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":299},{"alpha_index":307,"clock_position":307,"value":483},{"alpha_index":486,"clock_position":486,"value":658},{"alpha_index":665,"clock_position":665,"value":483},{"alpha_index":844,"clock_position":844,"value":299},{"alpha_index":1023,"clock_position":1023,"value":124}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,308,487,666,845,1024],"clock_positions":[129,308,487,666,845,1024],"native_values":[530,289,171,648,171,289],"rotation_degrees":43.24022346368715,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":530},{"alpha_index":308,"clock_position":308,"value":289},{"alpha_index":487,"clock_position":487,"value":171},{"alpha_index":666,"clock_position":666,"value":648},{"alpha_index":845,"clock_position":845,"value":171},{"alpha_index":1024,"clock_position":1024,"value":289}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,309,488,667,846,1025],"clock_positions":[130,309,488,667,846,1025],"native_values":[111,54,111,413,470,413],"rotation_degrees":43.57541899441341,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":111},{"alpha_index":309,"clock_position":309,"value":54},{"alpha_index":488,"clock_position":488,"value":111},{"alpha_index":667,"clock_position":667,"value":413},{"alpha_index":846,"clock_position":846,"value":470},{"alpha_index":1025,"clock_position":1025,"value":413}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,310,489,668,847,1026],"clock_positions":[131,310,489,668,847,1026],"native_values":[641,343,282,343,641,702],"rotation_degrees":43.910614525139664,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":641},{"alpha_index":310,"clock_position":310,"value":343},{"alpha_index":489,"clock_position":489,"value":282},{"alpha_index":668,"clock_position":668,"value":343},{"alpha_index":847,"clock_position":847,"value":641},{"alpha_index":1026,"clock_position":1026,"value":702}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,311,490,669,848,1027],"clock_positions":[132,311,490,669,848,1027],"native_values":[34,397,393,38,393,397],"rotation_degrees":44.245810055865924,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":34},{"alpha_index":311,"clock_position":311,"value":397},{"alpha_index":490,"clock_position":490,"value":393},{"alpha_index":669,"clock_position":669,"value":38},{"alpha_index":848,"clock_position":848,"value":393},{"alpha_index":1027,"clock_position":1027,"value":397}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,312,491,670,849,1028],"clock_positions":[133,312,491,670,849,1028],"native_values":[675,22,675,381,316,381],"rotation_degrees":44.58100558659218,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":675},{"alpha_index":312,"clock_position":312,"value":22},{"alpha_index":491,"clock_position":491,"value":675},{"alpha_index":670,"clock_position":670,"value":381},{"alpha_index":849,"clock_position":849,"value":316},{"alpha_index":1028,"clock_position":1028,"value":381}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,313,492,671,850,1029],"clock_positions":[134,313,492,671,850,1029],"native_values":[709,419,350,419,709,60],"rotation_degrees":44.91620111731844,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":709},{"alpha_index":313,"clock_position":313,"value":419},{"alpha_index":492,"clock_position":492,"value":350},{"alpha_index":671,"clock_position":671,"value":419},{"alpha_index":850,"clock_position":850,"value":709},{"alpha_index":1029,"clock_position":1029,"value":60}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,314,493,672,851,1030],"clock_positions":[135,314,493,672,851,1030],"native_values":[666,441,307,82,307,441],"rotation_degrees":45.25139664804469,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":666},{"alpha_index":314,"clock_position":314,"value":441},{"alpha_index":493,"clock_position":493,"value":307},{"alpha_index":672,"clock_position":672,"value":82},{"alpha_index":851,"clock_position":851,"value":307},{"alpha_index":1030,"clock_position":1030,"value":441}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,315,494,673,852,1031],"clock_positions":[136,315,494,673,852,1031],"native_values":[657,142,657,501,298,501],"rotation_degrees":45.58659217877095,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":657},{"alpha_index":315,"clock_position":315,"value":142},{"alpha_index":494,"clock_position":494,"value":657},{"alpha_index":673,"clock_position":673,"value":501},{"alpha_index":852,"clock_position":852,"value":298},{"alpha_index":1031,"clock_position":1031,"value":501}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,316,495,674,853,1032],"clock_positions":[137,316,495,674,853,1032],"native_values":[605,583,246,583,605,224],"rotation_degrees":45.92178770949721,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":605},{"alpha_index":316,"clock_position":316,"value":583},{"alpha_index":495,"clock_position":495,"value":246},{"alpha_index":674,"clock_position":674,"value":583},{"alpha_index":853,"clock_position":853,"value":605},{"alpha_index":1032,"clock_position":1032,"value":224}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,317,496,675,854,1033],"clock_positions":[138,317,496,675,854,1033],"native_values":[544,7,185,366,185,7],"rotation_degrees":46.25698324022346,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":544},{"alpha_index":317,"clock_position":317,"value":7},{"alpha_index":496,"clock_position":496,"value":185},{"alpha_index":675,"clock_position":675,"value":366},{"alpha_index":854,"clock_position":854,"value":185},{"alpha_index":1033,"clock_position":1033,"value":7}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,318,497,676,855,1034],"clock_positions":[139,318,497,676,855,1034],"native_values":[431,590,431,231,72,231],"rotation_degrees":46.59217877094972,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":431},{"alpha_index":318,"clock_position":318,"value":590},{"alpha_index":497,"clock_position":497,"value":431},{"alpha_index":676,"clock_position":676,"value":231},{"alpha_index":855,"clock_position":855,"value":72},{"alpha_index":1034,"clock_position":1034,"value":231}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,319,498,677,856,1035],"clock_positions":[140,319,498,677,856,1035],"native_values":[257,597,616,597,257,238],"rotation_degrees":46.927374301675975,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":257},{"alpha_index":319,"clock_position":319,"value":597},{"alpha_index":498,"clock_position":498,"value":616},{"alpha_index":677,"clock_position":677,"value":597},{"alpha_index":856,"clock_position":856,"value":257},{"alpha_index":1035,"clock_position":1035,"value":238}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,320,499,678,857,1036],"clock_positions":[141,320,499,678,857,1036],"native_values":[688,469,329,110,329,469],"rotation_degrees":47.262569832402235,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":688},{"alpha_index":320,"clock_position":320,"value":469},{"alpha_index":499,"clock_position":499,"value":329},{"alpha_index":678,"clock_position":678,"value":110},{"alpha_index":857,"clock_position":857,"value":329},{"alpha_index":1036,"clock_position":1036,"value":469}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,321,500,679,858,1037],"clock_positions":[142,321,500,679,858,1037],"native_values":[227,348,227,707,586,707],"rotation_degrees":47.597765363128495,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":227},{"alpha_index":321,"clock_position":321,"value":348},{"alpha_index":500,"clock_position":500,"value":227},{"alpha_index":679,"clock_position":679,"value":707},{"alpha_index":858,"clock_position":858,"value":586},{"alpha_index":1037,"clock_position":1037,"value":707}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,322,501,680,859,1038],"clock_positions":[143,322,501,680,859,1038],"native_values":[197,99,556,99,197,458],"rotation_degrees":47.93296089385475,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":197},{"alpha_index":322,"clock_position":322,"value":99},{"alpha_index":501,"clock_position":501,"value":556},{"alpha_index":680,"clock_position":680,"value":99},{"alpha_index":859,"clock_position":859,"value":197},{"alpha_index":1038,"clock_position":1038,"value":458}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,323,502,681,860,1039],"clock_positions":[144,323,502,681,860,1039],"native_values":[424,447,65,88,65,447],"rotation_degrees":48.26815642458101,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":424},{"alpha_index":323,"clock_position":323,"value":447},{"alpha_index":502,"clock_position":502,"value":65},{"alpha_index":681,"clock_position":681,"value":88},{"alpha_index":860,"clock_position":860,"value":65},{"alpha_index":1039,"clock_position":1039,"value":447}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,324,503,682,861,1040],"clock_positions":[145,324,503,682,861,1040],"native_values":[621,546,621,187,262,187],"rotation_degrees":48.60335195530726,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":621},{"alpha_index":324,"clock_position":324,"value":546},{"alpha_index":503,"clock_position":503,"value":621},{"alpha_index":682,"clock_position":682,"value":187},{"alpha_index":861,"clock_position":861,"value":262},{"alpha_index":1040,"clock_position":1040,"value":187}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,325,504,683,862,1041],"clock_positions":[146,325,504,683,862,1041],"native_values":[327,275,686,275,327,634],"rotation_degrees":48.93854748603352,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":327},{"alpha_index":325,"clock_position":325,"value":275},{"alpha_index":504,"clock_position":504,"value":686},{"alpha_index":683,"clock_position":683,"value":275},{"alpha_index":862,"clock_position":862,"value":327},{"alpha_index":1041,"clock_position":1041,"value":634}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,326,505,684,863,1042],"clock_positions":[147,326,505,684,863,1042],"native_values":[230,103,589,462,589,103],"rotation_degrees":49.273743016759774,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":230},{"alpha_index":326,"clock_position":326,"value":103},{"alpha_index":505,"clock_position":505,"value":589},{"alpha_index":684,"clock_position":684,"value":462},{"alpha_index":863,"clock_position":863,"value":589},{"alpha_index":1042,"clock_position":1042,"value":103}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,327,506,685,864,1043],"clock_positions":[148,327,506,685,864,1043],"native_values":[557,378,557,19,198,19],"rotation_degrees":49.608938547486034,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":557},{"alpha_index":327,"clock_position":327,"value":378},{"alpha_index":506,"clock_position":506,"value":557},{"alpha_index":685,"clock_position":685,"value":19},{"alpha_index":864,"clock_position":864,"value":198},{"alpha_index":1043,"clock_position":1043,"value":19}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,328,507,686,865,1044],"clock_positions":[149,328,507,686,865,1044],"native_values":[69,481,428,481,69,122],"rotation_degrees":49.944134078212294,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":69},{"alpha_index":328,"clock_position":328,"value":481},{"alpha_index":507,"clock_position":507,"value":428},{"alpha_index":686,"clock_position":686,"value":481},{"alpha_index":865,"clock_position":865,"value":69},{"alpha_index":1044,"clock_position":1044,"value":122}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,329,508,687,866,1045],"clock_positions":[150,329,508,687,866,1045],"native_values":[626,141,267,500,267,141],"rotation_degrees":50.279329608938546,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":626},{"alpha_index":329,"clock_position":329,"value":141},{"alpha_index":508,"clock_position":508,"value":267},{"alpha_index":687,"clock_position":687,"value":500},{"alpha_index":866,"clock_position":866,"value":267},{"alpha_index":1045,"clock_position":1045,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,330,509,688,867,1046],"clock_positions":[151,330,509,688,867,1046],"native_values":[695,622,695,263,336,263],"rotation_degrees":50.614525139664806,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":695},{"alpha_index":330,"clock_position":330,"value":622},{"alpha_index":509,"clock_position":509,"value":695},{"alpha_index":688,"clock_position":688,"value":263},{"alpha_index":867,"clock_position":867,"value":336},{"alpha_index":1046,"clock_position":1046,"value":263}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,331,510,689,868,1047],"clock_positions":[152,331,510,689,868,1047],"native_values":[603,45,244,45,603,404],"rotation_degrees":50.94972067039106,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":603},{"alpha_index":331,"clock_position":331,"value":45},{"alpha_index":510,"clock_position":510,"value":244},{"alpha_index":689,"clock_position":689,"value":45},{"alpha_index":868,"clock_position":868,"value":603},{"alpha_index":1047,"clock_position":1047,"value":404}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,332,511,690,869,1048],"clock_positions":[153,332,511,690,869,1048],"native_values":[580,667,221,308,221,667],"rotation_degrees":51.28491620111732,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":580},{"alpha_index":332,"clock_position":332,"value":667},{"alpha_index":511,"clock_position":511,"value":221},{"alpha_index":690,"clock_position":690,"value":308},{"alpha_index":869,"clock_position":869,"value":221},{"alpha_index":1048,"clock_position":1048,"value":667}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,333,512,691,870,1049],"clock_positions":[154,333,512,691,870,1049],"native_values":[465,712,465,353,106,353],"rotation_degrees":51.62011173184357,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":465},{"alpha_index":333,"clock_position":333,"value":712},{"alpha_index":512,"clock_position":512,"value":465},{"alpha_index":691,"clock_position":691,"value":353},{"alpha_index":870,"clock_position":870,"value":106},{"alpha_index":1049,"clock_position":1049,"value":353}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,334,513,692,871,1050],"clock_positions":[155,334,513,692,871,1050],"native_values":[327,661,686,661,327,302],"rotation_degrees":51.95530726256983,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":327},{"alpha_index":334,"clock_position":334,"value":661},{"alpha_index":513,"clock_position":513,"value":686},{"alpha_index":692,"clock_position":692,"value":661},{"alpha_index":871,"clock_position":871,"value":327},{"alpha_index":1050,"clock_position":1050,"value":302}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,335,514,693,872,1051],"clock_positions":[156,335,514,693,872,1051],"native_values":[74,655,433,296,433,655],"rotation_degrees":52.29050279329609,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":74},{"alpha_index":335,"clock_position":335,"value":655},{"alpha_index":514,"clock_position":514,"value":433},{"alpha_index":693,"clock_position":693,"value":296},{"alpha_index":872,"clock_position":872,"value":433},{"alpha_index":1051,"clock_position":1051,"value":655}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,336,515,694,873,1052],"clock_positions":[157,336,515,694,873,1052],"native_values":[401,598,401,239,42,239],"rotation_degrees":52.625698324022345,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":401},{"alpha_index":336,"clock_position":336,"value":598},{"alpha_index":515,"clock_position":515,"value":401},{"alpha_index":694,"clock_position":694,"value":239},{"alpha_index":873,"clock_position":873,"value":42},{"alpha_index":1052,"clock_position":1052,"value":239}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,337,516,695,874,1053],"clock_positions":[158,337,516,695,874,1053],"native_values":[475,535,116,535,475,176],"rotation_degrees":52.960893854748605,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":475},{"alpha_index":337,"clock_position":337,"value":535},{"alpha_index":516,"clock_position":516,"value":116},{"alpha_index":695,"clock_position":695,"value":535},{"alpha_index":874,"clock_position":874,"value":475},{"alpha_index":1053,"clock_position":1053,"value":176}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,338,517,696,875,1054],"clock_positions":[159,338,517,696,875,1054],"native_values":[158,415,517,56,517,415],"rotation_degrees":53.29608938547486,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":158},{"alpha_index":338,"clock_position":338,"value":415},{"alpha_index":517,"clock_position":517,"value":517},{"alpha_index":696,"clock_position":696,"value":56},{"alpha_index":875,"clock_position":875,"value":517},{"alpha_index":1054,"clock_position":1054,"value":415}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,339,518,697,876,1055],"clock_positions":[160,339,518,697,876,1055],"native_values":[633,232,633,591,274,591],"rotation_degrees":53.63128491620112,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":633},{"alpha_index":339,"clock_position":339,"value":232},{"alpha_index":518,"clock_position":518,"value":633},{"alpha_index":697,"clock_position":697,"value":591},{"alpha_index":876,"clock_position":876,"value":274},{"alpha_index":1055,"clock_position":1055,"value":591}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,340,519,698,877,1056],"clock_positions":[161,340,519,698,877,1056],"native_values":[73,647,432,647,73,288],"rotation_degrees":53.96648044692738,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":73},{"alpha_index":340,"clock_position":340,"value":647},{"alpha_index":519,"clock_position":519,"value":432},{"alpha_index":698,"clock_position":698,"value":647},{"alpha_index":877,"clock_position":877,"value":73},{"alpha_index":1056,"clock_position":1056,"value":288}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,341,520,699,878,1057],"clock_positions":[162,341,520,699,878,1057],"native_values":[706,161,347,520,347,161],"rotation_degrees":54.30167597765363,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":706},{"alpha_index":341,"clock_position":341,"value":161},{"alpha_index":520,"clock_position":520,"value":347},{"alpha_index":699,"clock_position":699,"value":520},{"alpha_index":878,"clock_position":878,"value":347},{"alpha_index":1057,"clock_position":1057,"value":161}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,342,521,700,879,1058],"clock_positions":[163,342,521,700,879,1058],"native_values":[61,90,61,449,420,449],"rotation_degrees":54.63687150837989,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":61},{"alpha_index":342,"clock_position":342,"value":90},{"alpha_index":521,"clock_position":521,"value":61},{"alpha_index":700,"clock_position":700,"value":449},{"alpha_index":879,"clock_position":879,"value":420},{"alpha_index":1058,"clock_position":1058,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,343,522,701,880,1059],"clock_positions":[164,343,522,701,880,1059],"native_values":[49,251,408,251,49,610],"rotation_degrees":54.97206703910614,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":49},{"alpha_index":343,"clock_position":343,"value":251},{"alpha_index":522,"clock_position":522,"value":408},{"alpha_index":701,"clock_position":701,"value":251},{"alpha_index":880,"clock_position":880,"value":49},{"alpha_index":1059,"clock_position":1059,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,344,523,702,881,1060],"clock_positions":[165,344,523,702,881,1060],"native_values":[110,341,469,700,469,341],"rotation_degrees":55.3072625698324,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":110},{"alpha_index":344,"clock_position":344,"value":341},{"alpha_index":523,"clock_position":523,"value":469},{"alpha_index":702,"clock_position":702,"value":700},{"alpha_index":881,"clock_position":881,"value":469},{"alpha_index":1060,"clock_position":1060,"value":341}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,345,524,703,882,1061],"clock_positions":[166,345,524,703,882,1061],"native_values":[159,592,159,233,518,233],"rotation_degrees":55.642458100558656,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":159},{"alpha_index":345,"clock_position":345,"value":592},{"alpha_index":524,"clock_position":524,"value":159},{"alpha_index":703,"clock_position":703,"value":233},{"alpha_index":882,"clock_position":882,"value":518},{"alpha_index":1061,"clock_position":1061,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,346,525,704,883,1062],"clock_positions":[167,346,525,704,883,1062],"native_values":[269,215,628,215,269,574],"rotation_degrees":55.977653631284916,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":269},{"alpha_index":346,"clock_position":346,"value":215},{"alpha_index":525,"clock_position":525,"value":628},{"alpha_index":704,"clock_position":704,"value":215},{"alpha_index":883,"clock_position":883,"value":269},{"alpha_index":1062,"clock_position":1062,"value":574}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,347,526,705,884,1063],"clock_positions":[168,347,526,705,884,1063],"native_values":[428,89,69,448,69,89],"rotation_degrees":56.312849162011176,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":428},{"alpha_index":347,"clock_position":347,"value":89},{"alpha_index":526,"clock_position":526,"value":69},{"alpha_index":705,"clock_position":705,"value":448},{"alpha_index":884,"clock_position":884,"value":69},{"alpha_index":1063,"clock_position":1063,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,348,527,706,885,1064],"clock_positions":[169,348,527,706,885,1064],"native_values":[697,304,697,663,338,663],"rotation_degrees":56.64804469273743,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":697},{"alpha_index":348,"clock_position":348,"value":304},{"alpha_index":527,"clock_position":527,"value":697},{"alpha_index":706,"clock_position":706,"value":663},{"alpha_index":885,"clock_position":885,"value":338},{"alpha_index":1064,"clock_position":1064,"value":663}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,349,528,707,886,1065],"clock_positions":[170,349,528,707,886,1065],"native_values":[407,393,48,393,407,34],"rotation_degrees":56.98324022346369,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":407},{"alpha_index":349,"clock_position":349,"value":393},{"alpha_index":528,"clock_position":528,"value":48},{"alpha_index":707,"clock_position":707,"value":393},{"alpha_index":886,"clock_position":886,"value":407},{"alpha_index":1065,"clock_position":1065,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,350,529,708,887,1066],"clock_positions":[171,350,529,708,887,1066],"native_values":[386,697,27,338,27,697],"rotation_degrees":57.31843575418994,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":386},{"alpha_index":350,"clock_position":350,"value":697},{"alpha_index":529,"clock_position":529,"value":27},{"alpha_index":708,"clock_position":708,"value":338},{"alpha_index":887,"clock_position":887,"value":27},{"alpha_index":1066,"clock_position":1066,"value":697}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,351,530,709,888,1067],"clock_positions":[172,351,530,709,888,1067],"native_values":[75,372,75,13,434,13],"rotation_degrees":57.6536312849162,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":75},{"alpha_index":351,"clock_position":351,"value":372},{"alpha_index":530,"clock_position":530,"value":75},{"alpha_index":709,"clock_position":709,"value":13},{"alpha_index":888,"clock_position":888,"value":434},{"alpha_index":1067,"clock_position":1067,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,352,531,710,889,1068],"clock_positions":[173,352,531,710,889,1068],"native_values":[461,351,102,351,461,710],"rotation_degrees":57.98882681564246,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":461},{"alpha_index":352,"clock_position":352,"value":351},{"alpha_index":531,"clock_position":531,"value":102},{"alpha_index":710,"clock_position":710,"value":351},{"alpha_index":889,"clock_position":889,"value":461},{"alpha_index":1068,"clock_position":1068,"value":710}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,353,532,711,890,1069],"clock_positions":[174,353,532,711,890,1069],"native_values":[536,5,177,364,177,5],"rotation_degrees":58.324022346368714,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":536},{"alpha_index":353,"clock_position":353,"value":5},{"alpha_index":532,"clock_position":532,"value":177},{"alpha_index":711,"clock_position":711,"value":364},{"alpha_index":890,"clock_position":890,"value":177},{"alpha_index":1069,"clock_position":1069,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,354,533,712,891,1070],"clock_positions":[175,354,533,712,891,1070],"native_values":[279,356,279,715,638,715],"rotation_degrees":58.659217877094974,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":279},{"alpha_index":354,"clock_position":354,"value":356},{"alpha_index":533,"clock_position":533,"value":279},{"alpha_index":712,"clock_position":712,"value":715},{"alpha_index":891,"clock_position":891,"value":638},{"alpha_index":1070,"clock_position":1070,"value":715}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,355,534,713,892,1071],"clock_positions":[176,355,534,713,892,1071],"native_values":[97,361,456,361,97,2],"rotation_degrees":58.99441340782123,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":97},{"alpha_index":355,"clock_position":355,"value":361},{"alpha_index":534,"clock_position":534,"value":456},{"alpha_index":713,"clock_position":713,"value":361},{"alpha_index":892,"clock_position":892,"value":97},{"alpha_index":1071,"clock_position":1071,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,356,535,714,893,1072],"clock_positions":[177,356,535,714,893,1072],"native_values":[376,717,17,358,17,717],"rotation_degrees":59.32960893854749,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":376},{"alpha_index":356,"clock_position":356,"value":717},{"alpha_index":535,"clock_position":535,"value":17},{"alpha_index":714,"clock_position":714,"value":358},{"alpha_index":893,"clock_position":893,"value":17},{"alpha_index":1072,"clock_position":1072,"value":717}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,357,536,715,894,1073],"clock_positions":[178,357,536,715,894,1073],"native_values":[473,360,473,1,114,1],"rotation_degrees":59.66480446927374,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":473},{"alpha_index":357,"clock_position":357,"value":360},{"alpha_index":536,"clock_position":536,"value":473},{"alpha_index":715,"clock_position":715,"value":1},{"alpha_index":894,"clock_position":894,"value":114},{"alpha_index":1073,"clock_position":1073,"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/m718/alpha.svg","png":"pilot-v1/views/m718/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m718/beta.svg","png":"pilot-v1/views/m718/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m718/gamma.svg","png":"pilot-v1/views/m718/gamma.png"},{"id":"fibonacci-m718p1074","name":"Fibonacci M718P1074","svg":"pilot-v1/views/m718/fibonacci-m718p1074.svg","png":"pilot-v1/views/m718/fibonacci-m718p1074.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}}