{"schema_version":"2.3.0","dataset_version":"m1-m1001-v1","id":"fibonacci-m800-p1200","name":"Fibonacci M800P1200","modulus":800,"pisano_period":1200,"conventions":{"index_origin":0,"clock_labels":[1200,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199],"orientation":"clockwise from north","zero_display":800,"alpha_circle_positions":1200,"beta_circle_positions":800,"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":[0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,187,797,184,181,365,546,111,657,768,625,593,418,211,629,40,669,709,578,487,265,752,217,169,386,555,141,696,37,733,770,703,673,576,449,225,674,99,773,72,45,117,162,279,441,720,361,281,642,123,765,88,53,141,194,335,529,64,593,657,450,307,757,264,221,485,706,391,297,688,185,73,258,331,589,120,709,29,738,767,705,672,577,449,226,675,101,776,77,53,130,183,313,496,9,505,514,219,733,152,85,237,322,559,81,640,721,561,482,243,725,168,93,261,354,615,169,784,153,137,290,427,717,344,261,605,66,671,737,608,545,353,98,451,549,200,749,149,98,247,345,592,137,729,66,795,61,56,117,173,290,463,753,416,369,785,354,339,693,232,125,357,482,39,521,560,281,41,322,363,685,248,133,381,514,95,609,704,513,417,130,547,677,424,301,725,226,151,377,528,105,633,738,571,509,280,789,269,258,527,785,512,497,209,706,115,21,136,157,293,450,743,393,336,729,265,194,459,653,312,165,477,642,319,161,480,641,321,162,483,645,328,173,501,674,375,249,624,73,697,770,667,637,504,341,45,386,431,17,448,465,113,578,691,469,360,29,389,418,7,425,432,57,489,546,235,781,216,197,413,610,223,33,256,289,545,34,579,613,392,205,597,2,599,601,400,201,601,2,603,605,408,213,621,34,655,689,544,433,177,610,787,597,584,381,165,546,711,457,368,25,393,418,11,429,440,69,509,578,287,65,352,417,769,386,355,741,296,237,533,770,503,473,176,649,25,674,699,573,472,245,717,162,79,241,320,561,81,642,723,565,488,253,741,194,135,329,464,793,457,450,107,557,664,421,285,706,191,97,288,385,673,258,131,389,520,109,629,738,567,505,272,777,249,226,475,701,376,277,653,130,783,113,96,209,305,514,19,533,552,285,37,322,359,681,240,121,361,482,43,525,568,293,61,354,415,769,384,353,737,290,227,517,744,461,405,66,471,537,208,745,153,98,251,349,600,149,749,98,47,145,192,337,529,66,595,661,456,317,773,290,263,553,16,569,585,354,139,493,632,325,157,482,639,321,160,481,641,322,163,485,648,333,181,514,695,409,304,713,217,130,347,477,24,501,525,226,751,177,128,305,433,738,371,309,680,189,69,258,327,585,112,697,9,706,715,621,536,357,93,450,543,193,736,129,65,194,259,453,712,365,277,642,119,761,80,41,121,162,283,445,728,373,301,674,175,49,224,273,497,770,467,437,104,541,645,386,231,617,48,665,713,578,491,269,760,229,189,418,607,225,32,257,289,546,35,581,616,397,213,610,23,633,656,489,345,34,379,413,792,405,397,2,399,401,0,401,401,2,403,405,8,413,421,34,455,489,144,633,777,610,587,397,184,581,765,546,511,257,768,225,193,418,611,229,40,269,309,578,87,665,752,617,569,386,155,541,696,437,333,770,303,273,576,49,625,674,499,373,72,445,517,162,679,41,720,761,681,642,523,365,88,453,541,194,735,129,64,193,257,450,707,357,264,621,85,706,791,697,688,585,473,258,731,189,120,309,429,738,367,305,672,177,49,226,275,501,776,477,453,130,583,713,496,409,105,514,619,333,152,485,637,322,159,481,640,321,161,482,643,325,168,493,661,354,215,569,784,553,537,290,27,317,344,661,205,66,271,337,608,145,753,98,51,149,200,349,549,98,647,745,592,537,329,66,395,461,56,517,573,290,63,353,416,769,385,354,739,293,232,525,757,482,439,121,560,681,441,322,763,285,248,533,781,514,495,209,704,113,17,130,147,277,424,701,325,226,551,777,528,505,233,738,171,109,280,389,669,258,127,385,512,97,609,706,515,421,136,557,693,450,343,793,336,329,665,194,59,253,312,565,77,642,719,561,480,241,721,162,83,245,328,573,101,674,775,649,624,473,297,770,267,237,504,741,445,386,31,417,448,65,513,578,291,69,360,429,789,418,407,25,432,457,89,546,635,381,216,597,13,610,623,433,256,689,145,34,179,213,392,605,197,2,199,201,400,601,201,2,203,205,408,613,221,34,255,289,544,33,577,610,387,197,584,781,565,546,311,57,368,425,793,418,411,29,440,469,109,578,687,465,352,17,369,386,755,341,296,637,133,770,103,73,176,249,425,674,299,173,472,645,317,162,479,641,320,161,481,642,323,165,488,653,341,194,535,729,464,393,57,450,507,157,664,21,685,706,591,497,288,785,273,258,531,789,520,509,229,738,167,105,272,377,649,226,75,301,376,677,253,130,383,513,96,609,705,514,419,133,552,685,437,322,759,281,240,521,761,482,443,125,568,693,461,354,15,369,384,753,337,290,627,117,744,61,5,66,71,137,208,345,553,98,651,749,600,549,349,98,447,545,192,737,129,66,195,261,456,717,373,290,663,153,16,169,185,354,539,93,632,725,557,482,239,721,160,81,241,322,563,85,648,733,581,514,295,9,304,313,617,130,747,77,24,101,125,226,351,577,128,705,33,738,771,709,680,589,469,258,727,185,112,297,409,706,315,221,536,757,493,450,143,593,736,529,465,194,659,53,712,765,677,642,519,361,80,441,521,162,683,45,728,773,701,674,575,449,224,673,97,770,67,37,104,141,245,386,631,217,48,265,313,578,91,669,760,629,589,418,207,625,32,657,689,546,435,181,616,797,613,610,423,233,656,89,745,34,779,13,792,5,797,2,799,1],"display_values":[800,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,187,797,184,181,365,546,111,657,768,625,593,418,211,629,40,669,709,578,487,265,752,217,169,386,555,141,696,37,733,770,703,673,576,449,225,674,99,773,72,45,117,162,279,441,720,361,281,642,123,765,88,53,141,194,335,529,64,593,657,450,307,757,264,221,485,706,391,297,688,185,73,258,331,589,120,709,29,738,767,705,672,577,449,226,675,101,776,77,53,130,183,313,496,9,505,514,219,733,152,85,237,322,559,81,640,721,561,482,243,725,168,93,261,354,615,169,784,153,137,290,427,717,344,261,605,66,671,737,608,545,353,98,451,549,200,749,149,98,247,345,592,137,729,66,795,61,56,117,173,290,463,753,416,369,785,354,339,693,232,125,357,482,39,521,560,281,41,322,363,685,248,133,381,514,95,609,704,513,417,130,547,677,424,301,725,226,151,377,528,105,633,738,571,509,280,789,269,258,527,785,512,497,209,706,115,21,136,157,293,450,743,393,336,729,265,194,459,653,312,165,477,642,319,161,480,641,321,162,483,645,328,173,501,674,375,249,624,73,697,770,667,637,504,341,45,386,431,17,448,465,113,578,691,469,360,29,389,418,7,425,432,57,489,546,235,781,216,197,413,610,223,33,256,289,545,34,579,613,392,205,597,2,599,601,400,201,601,2,603,605,408,213,621,34,655,689,544,433,177,610,787,597,584,381,165,546,711,457,368,25,393,418,11,429,440,69,509,578,287,65,352,417,769,386,355,741,296,237,533,770,503,473,176,649,25,674,699,573,472,245,717,162,79,241,320,561,81,642,723,565,488,253,741,194,135,329,464,793,457,450,107,557,664,421,285,706,191,97,288,385,673,258,131,389,520,109,629,738,567,505,272,777,249,226,475,701,376,277,653,130,783,113,96,209,305,514,19,533,552,285,37,322,359,681,240,121,361,482,43,525,568,293,61,354,415,769,384,353,737,290,227,517,744,461,405,66,471,537,208,745,153,98,251,349,600,149,749,98,47,145,192,337,529,66,595,661,456,317,773,290,263,553,16,569,585,354,139,493,632,325,157,482,639,321,160,481,641,322,163,485,648,333,181,514,695,409,304,713,217,130,347,477,24,501,525,226,751,177,128,305,433,738,371,309,680,189,69,258,327,585,112,697,9,706,715,621,536,357,93,450,543,193,736,129,65,194,259,453,712,365,277,642,119,761,80,41,121,162,283,445,728,373,301,674,175,49,224,273,497,770,467,437,104,541,645,386,231,617,48,665,713,578,491,269,760,229,189,418,607,225,32,257,289,546,35,581,616,397,213,610,23,633,656,489,345,34,379,413,792,405,397,2,399,401,800,401,401,2,403,405,8,413,421,34,455,489,144,633,777,610,587,397,184,581,765,546,511,257,768,225,193,418,611,229,40,269,309,578,87,665,752,617,569,386,155,541,696,437,333,770,303,273,576,49,625,674,499,373,72,445,517,162,679,41,720,761,681,642,523,365,88,453,541,194,735,129,64,193,257,450,707,357,264,621,85,706,791,697,688,585,473,258,731,189,120,309,429,738,367,305,672,177,49,226,275,501,776,477,453,130,583,713,496,409,105,514,619,333,152,485,637,322,159,481,640,321,161,482,643,325,168,493,661,354,215,569,784,553,537,290,27,317,344,661,205,66,271,337,608,145,753,98,51,149,200,349,549,98,647,745,592,537,329,66,395,461,56,517,573,290,63,353,416,769,385,354,739,293,232,525,757,482,439,121,560,681,441,322,763,285,248,533,781,514,495,209,704,113,17,130,147,277,424,701,325,226,551,777,528,505,233,738,171,109,280,389,669,258,127,385,512,97,609,706,515,421,136,557,693,450,343,793,336,329,665,194,59,253,312,565,77,642,719,561,480,241,721,162,83,245,328,573,101,674,775,649,624,473,297,770,267,237,504,741,445,386,31,417,448,65,513,578,291,69,360,429,789,418,407,25,432,457,89,546,635,381,216,597,13,610,623,433,256,689,145,34,179,213,392,605,197,2,199,201,400,601,201,2,203,205,408,613,221,34,255,289,544,33,577,610,387,197,584,781,565,546,311,57,368,425,793,418,411,29,440,469,109,578,687,465,352,17,369,386,755,341,296,637,133,770,103,73,176,249,425,674,299,173,472,645,317,162,479,641,320,161,481,642,323,165,488,653,341,194,535,729,464,393,57,450,507,157,664,21,685,706,591,497,288,785,273,258,531,789,520,509,229,738,167,105,272,377,649,226,75,301,376,677,253,130,383,513,96,609,705,514,419,133,552,685,437,322,759,281,240,521,761,482,443,125,568,693,461,354,15,369,384,753,337,290,627,117,744,61,5,66,71,137,208,345,553,98,651,749,600,549,349,98,447,545,192,737,129,66,195,261,456,717,373,290,663,153,16,169,185,354,539,93,632,725,557,482,239,721,160,81,241,322,563,85,648,733,581,514,295,9,304,313,617,130,747,77,24,101,125,226,351,577,128,705,33,738,771,709,680,589,469,258,727,185,112,297,409,706,315,221,536,757,493,450,143,593,736,529,465,194,659,53,712,765,677,642,519,361,80,441,521,162,683,45,728,773,701,674,575,449,224,673,97,770,67,37,104,141,245,386,631,217,48,265,313,578,91,669,760,629,589,418,207,625,32,657,689,546,435,181,616,797,613,610,423,233,656,89,745,34,779,13,792,5,797,2,799,1]},"gamma":{"alpha_indices":[0,4,8,12,21,22,23,24,31,40,41,42,48,50,52,54,55,56,57,58,59,60,63,64,65,68,74,75,78,83,87,90,93,95,96,100,106,109,112,116,119,122,124,126,127,128,129,130,133,137,139,141,149,155,158,159,160,163,167,169,171,172,173,176,178,184,188,191,193,194,204,205,206,207,211,213,221,225,227,228,229,232,234,235,236,237,240,242,243,244,245,248,250,251,252,258,260,265,270,276,277,278,279,282,287,292,296,301,304,306,307,308,314,317,319,320,321,322,326,329,331,337,341,343,352,353,356,357,361,362,363,364,368,370,375,380,384,387,393,394,397,398,406,408,414,415,419,420,425,429,432,438,440,441,442,443,446,450,456,459,462,470,471,478,479,486,487,497,498,499,500,503,507,509,511,512,513,514,515,518,521,523,524,525,526,529,533,537,543,553,560,562,564,572,575,579,584,587,589,590,594,595,598,600,605,611,612,613,614,620,621,624,625,632,634,642,644,646,647,648,654,657,660,662,663,667,670,671,675,677,678,679,685,687,689,690,691,692,693,696,697,701,703,704,710,713,718,721,726,729,734,736,741,746,748,752,757,759,764,766,771,775,781,782,785,790,796,803,804,807,808,812,813,818,824,825,828,834,837,839,840,843,847,852,854,856,857,858,859,863,866,868,869,870,871,872,876,879,881,882,883,893,899,902,906,910,913,916,921,923,928,934,935,938,949,955,957,963,965,971,973,974,975,976,979,982,984,986,987,988,989,993,995,1000,1007,1008,1009,1010,1014,1018,1020,1027,1029,1030,1031,1032,1033,1036,1037,1038,1041,1045,1048,1050,1051,1054,1056,1058,1059,1060,1061,1062,1063,1066,1067,1071,1073,1081,1086,1091,1096,1098,1102,1105,1106,1107,1108,1113,1117,1120,1125,1130,1135,1137,1138,1141,1143,1145,1159,1164,1169,1174,1177,1179,1180,1186,1194],"clock_positions":[1200,4,8,12,21,22,23,24,31,40,41,42,48,50,52,54,55,56,57,58,59,60,63,64,65,68,74,75,78,83,87,90,93,95,96,100,106,109,112,116,119,122,124,126,127,128,129,130,133,137,139,141,149,155,158,159,160,163,167,169,171,172,173,176,178,184,188,191,193,194,204,205,206,207,211,213,221,225,227,228,229,232,234,235,236,237,240,242,243,244,245,248,250,251,252,258,260,265,270,276,277,278,279,282,287,292,296,301,304,306,307,308,314,317,319,320,321,322,326,329,331,337,341,343,352,353,356,357,361,362,363,364,368,370,375,380,384,387,393,394,397,398,406,408,414,415,419,420,425,429,432,438,440,441,442,443,446,450,456,459,462,470,471,478,479,486,487,497,498,499,500,503,507,509,511,512,513,514,515,518,521,523,524,525,526,529,533,537,543,553,560,562,564,572,575,579,584,587,589,590,594,595,598,600,605,611,612,613,614,620,621,624,625,632,634,642,644,646,647,648,654,657,660,662,663,667,670,671,675,677,678,679,685,687,689,690,691,692,693,696,697,701,703,704,710,713,718,721,726,729,734,736,741,746,748,752,757,759,764,766,771,775,781,782,785,790,796,803,804,807,808,812,813,818,824,825,828,834,837,839,840,843,847,852,854,856,857,858,859,863,866,868,869,870,871,872,876,879,881,882,883,893,899,902,906,910,913,916,921,923,928,934,935,938,949,955,957,963,965,971,973,974,975,976,979,982,984,986,987,988,989,993,995,1000,1007,1008,1009,1010,1014,1018,1020,1027,1029,1030,1031,1032,1033,1036,1037,1038,1041,1045,1048,1050,1051,1054,1056,1058,1059,1060,1061,1062,1063,1066,1067,1071,1073,1081,1086,1091,1096,1098,1102,1105,1106,1107,1108,1113,1117,1120,1125,1130,1135,1137,1138,1141,1143,1145,1159,1164,1169,1174,1177,1179,1180,1186,1194],"clockwise_values":[800,3,21,144,546,111,657,768,669,555,141,696,576,225,99,72,45,117,162,279,441,720,642,123,765,141,657,450,264,297,258,120,738,705,672,675,183,9,219,237,81,561,243,168,93,261,354,615,153,717,261,66,549,345,729,66,795,117,753,369,354,339,693,357,39,363,381,609,513,417,528,105,633,738,789,258,21,450,393,336,729,459,312,165,477,642,480,321,162,483,645,501,375,249,624,504,45,465,360,432,57,489,546,216,33,579,597,201,603,408,213,621,177,597,381,165,546,711,393,429,69,417,741,237,699,573,717,162,561,81,642,723,741,135,450,285,288,258,738,567,777,249,783,96,552,285,681,240,525,354,384,744,405,66,471,537,153,600,192,66,456,585,354,639,321,648,333,477,24,501,525,177,738,309,189,69,258,327,585,9,621,357,93,450,543,129,453,642,162,273,645,231,48,189,225,546,213,633,489,345,792,405,399,800,405,489,144,633,777,765,546,768,225,309,87,696,333,303,273,576,72,162,720,681,642,453,735,129,450,357,264,621,585,258,189,120,309,429,738,672,177,501,477,453,105,333,159,321,168,354,537,27,66,753,51,549,537,66,573,63,354,525,681,441,285,495,147,777,528,738,171,669,258,609,693,450,336,312,642,561,480,162,573,624,297,267,237,504,741,417,513,291,69,360,429,789,432,546,381,216,597,213,201,201,408,255,33,387,546,57,411,687,465,369,249,645,162,642,165,729,393,57,450,507,21,591,288,273,258,531,789,738,105,75,513,96,609,705,552,759,240,693,354,15,369,384,753,627,117,744,66,345,651,600,549,447,192,129,66,195,261,456,717,663,153,354,93,81,648,9,747,24,351,705,33,738,771,258,297,315,450,465,765,642,519,441,162,45,141,48,669,207,657,546,435,423,792],"triangle_paths":[[8,408,808,8],[40,440,840,40],[56,456,856,56],[59,459,859,59],[184,584,984,184],[232,632,1032,232],[248,648,1048,248],[260,660,1060,260],[296,696,1096,296],[341,741,1141,341],[364,764,1164,364]]},"beta":{"interval_sums":[4,26,178,2934,0,0,0,2516,3563,0,0,2916,449,674,773,0,0,0,0,0,0,642,0,0,141,1715,0,1064,1803,946,920,738,767,0,1252,1137,809,1019,970,881,1361,482,725,0,0,0,0,953,854,344,605,3463,1443,729,0,0,117,926,416,785,0,0,357,482,1725,1066,609,704,0,3558,0,0,0,1360,269,3351,586,743,0,0,459,653,0,0,0,480,641,0,0,0,501,674,0,0,2844,341,1282,1851,1268,0,0,0,1016,1443,1124,1210,1602,603,605,0,0,2355,1397,584,0,0,0,850,429,440,1791,1510,296,3803,0,717,0,640,0,0,0,1306,194,2043,1749,994,1058,1778,0,777,0,2838,113,1580,0,718,0,1007,922,1184,2124,461,0,0,0,953,698,1188,866,1256,2781,0,2228,0,2252,0,3510,0,0,0,977,866,371,680,0,0,0,0,809,1421,536,0,0,0,929,518,1354,1122,3252,2816,386,617,3705,1025,578,1629,633,656,0,826,0,399,401,1207,1331,0,0,0,2359,0,768,0,1760,578,3685,437,770,0,0,2220,962,720,761,0,976,735,0,514,707,0,0,2967,473,731,0,0,0,0,672,0,550,776,0,2331,1133,1596,1121,1611,1154,2121,290,1527,1361,98,698,2082,329,1429,290,1923,1264,2359,0,1085,2076,1173,2504,0,738,0,778,0,1121,2335,0,1136,1500,642,719,0,962,656,2199,473,770,0,0,0,862,513,578,0,0,0,0,850,546,635,0,0,2982,1395,1001,410,868,833,1187,2127,311,2004,1625,0,369,3670,2043,317,2082,323,2211,464,0,0,0,821,1391,497,785,0,0,0,1258,167,1524,2120,0,0,0,1066,1444,281,2900,461,0,0,0,0,627,0,0,66,416,651,749,0,447,545,737,0,0,0,0,0,663,0,370,539,3516,1211,2123,1364,77,452,705,0,0,0,2447,1024,1115,2007,2001,1618,677,0,441,521,683,5872,1479,1247,2396,657,689,0,2817,2549,1604],"interval_residues":[4,26,178,534,0,0,0,116,363,0,0,516,449,674,773,0,0,0,0,0,0,642,0,0,141,115,0,264,203,146,120,738,767,0,452,337,9,219,170,81,561,482,725,0,0,0,0,153,54,344,605,263,643,729,0,0,117,126,416,785,0,0,357,482,125,266,609,704,0,358,0,0,0,560,269,151,586,743,0,0,459,653,0,0,0,480,641,0,0,0,501,674,0,0,444,341,482,251,468,0,0,0,216,643,324,410,2,603,605,0,0,755,597,584,0,0,0,50,429,440,191,710,296,603,0,717,0,640,0,0,0,506,194,443,149,194,258,178,0,777,0,438,113,780,0,718,0,207,122,384,524,461,0,0,0,153,698,388,66,456,381,0,628,0,652,0,310,0,0,0,177,66,371,680,0,0,0,0,9,621,536,0,0,0,129,518,554,322,52,416,386,617,505,225,578,29,633,656,0,26,0,399,401,407,531,0,0,0,759,0,768,0,160,578,485,437,770,0,0,620,162,720,761,0,176,735,0,514,707,0,0,567,473,731,0,0,0,0,672,0,550,776,0,731,333,796,321,11,354,521,290,727,561,98,698,482,329,629,290,323,464,759,0,285,476,373,104,0,738,0,778,0,321,735,0,336,700,642,719,0,162,656,599,473,770,0,0,0,62,513,578,0,0,0,0,50,546,635,0,0,582,595,201,410,68,33,387,527,311,404,25,0,369,470,443,317,482,323,611,464,0,0,0,21,591,497,785,0,0,0,458,167,724,520,0,0,0,266,644,281,500,461,0,0,0,0,627,0,0,66,416,651,749,0,447,545,737,0,0,0,0,0,663,0,370,539,316,411,523,564,77,452,705,0,0,0,47,224,315,407,401,18,677,0,441,521,683,272,679,447,796,657,689,0,417,149,4],"display_cycle":[4,26,178,534,800,800,800,116,363,800,800,516,449,674,773,800,800,800,800,800,800,642,800,800,141,115,800,264,203,146,120,738,767,800,452,337,9,219,170,81,561,482,725,800,800,800,800,153,54,344,605,263,643,729,800,800,117,126,416,785,800,800,357,482,125,266,609,704,800,358,800,800,800,560,269,151,586,743,800,800,459,653,800,800,800,480,641,800,800,800,501,674,800,800,444,341,482,251,468,800,800,800,216,643,324,410,2,603,605,800,800,755,597,584,800,800,800,50,429,440,191,710,296,603,800,717,800,640,800,800,800,506,194,443,149,194,258,178,800,777,800,438,113,780,800,718,800,207,122,384,524,461,800,800,800,153,698,388,66,456,381,800,628,800,652,800,310,800,800,800,177,66,371,680,800,800,800,800,9,621,536,800,800,800,129,518,554,322,52,416,386,617,505,225,578,29,633,656,800,26,800,399,401,407,531,800,800,800,759,800,768,800,160,578,485,437,770,800,800,620,162,720,761,800,176,735,800,514,707,800,800,567,473,731,800,800,800,800,672,800,550,776,800,731,333,796,321,11,354,521,290,727,561,98,698,482,329,629,290,323,464,759,800,285,476,373,104,800,738,800,778,800,321,735,800,336,700,642,719,800,162,656,599,473,770,800,800,800,62,513,578,800,800,800,800,50,546,635,800,800,582,595,201,410,68,33,387,527,311,404,25,800,369,470,443,317,482,323,611,464,800,800,800,21,591,497,785,800,800,800,458,167,724,520,800,800,800,266,644,281,500,461,800,800,800,800,627,800,800,66,416,651,749,800,447,545,737,800,800,800,800,800,663,800,370,539,316,411,523,564,77,452,705,800,800,800,47,224,315,407,401,18,677,800,441,521,683,272,679,447,796,657,689,800,417,149,4],"intervals":[{"from_index":0,"to_index":4,"interior_indices":[1,2,3],"interior_values":[1,1,2],"sum":4,"residue":4},{"from_index":4,"to_index":8,"interior_indices":[5,6,7],"interior_values":[5,8,13],"sum":26,"residue":26},{"from_index":8,"to_index":12,"interior_indices":[9,10,11],"interior_values":[34,55,89],"sum":178,"residue":178},{"from_index":12,"to_index":21,"interior_indices":[13,14,15,16,17,18,19,20],"interior_values":[233,377,610,187,797,184,181,365],"sum":2934,"residue":534},{"from_index":21,"to_index":22,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":22,"to_index":23,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":23,"to_index":24,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":24,"to_index":31,"interior_indices":[25,26,27,28,29,30],"interior_values":[625,593,418,211,629,40],"sum":2516,"residue":116},{"from_index":31,"to_index":40,"interior_indices":[32,33,34,35,36,37,38,39],"interior_values":[709,578,487,265,752,217,169,386],"sum":3563,"residue":363},{"from_index":40,"to_index":41,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":41,"to_index":42,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":42,"to_index":48,"interior_indices":[43,44,45,46,47],"interior_values":[37,733,770,703,673],"sum":2916,"residue":516},{"from_index":48,"to_index":50,"interior_indices":[49],"interior_values":[449],"sum":449,"residue":449},{"from_index":50,"to_index":52,"interior_indices":[51],"interior_values":[674],"sum":674,"residue":674},{"from_index":52,"to_index":54,"interior_indices":[53],"interior_values":[773],"sum":773,"residue":773},{"from_index":54,"to_index":55,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":55,"to_index":56,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":56,"to_index":57,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":57,"to_index":58,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":58,"to_index":59,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":59,"to_index":60,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":60,"to_index":63,"interior_indices":[61,62],"interior_values":[361,281],"sum":642,"residue":642},{"from_index":63,"to_index":64,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":64,"to_index":65,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":65,"to_index":68,"interior_indices":[66,67],"interior_values":[88,53],"sum":141,"residue":141},{"from_index":68,"to_index":74,"interior_indices":[69,70,71,72,73],"interior_values":[194,335,529,64,593],"sum":1715,"residue":115},{"from_index":74,"to_index":75,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":75,"to_index":78,"interior_indices":[76,77],"interior_values":[307,757],"sum":1064,"residue":264},{"from_index":78,"to_index":83,"interior_indices":[79,80,81,82],"interior_values":[221,485,706,391],"sum":1803,"residue":203},{"from_index":83,"to_index":87,"interior_indices":[84,85,86],"interior_values":[688,185,73],"sum":946,"residue":146},{"from_index":87,"to_index":90,"interior_indices":[88,89],"interior_values":[331,589],"sum":920,"residue":120},{"from_index":90,"to_index":93,"interior_indices":[91,92],"interior_values":[709,29],"sum":738,"residue":738},{"from_index":93,"to_index":95,"interior_indices":[94],"interior_values":[767],"sum":767,"residue":767},{"from_index":95,"to_index":96,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":96,"to_index":100,"interior_indices":[97,98,99],"interior_values":[577,449,226],"sum":1252,"residue":452},{"from_index":100,"to_index":106,"interior_indices":[101,102,103,104,105],"interior_values":[101,776,77,53,130],"sum":1137,"residue":337},{"from_index":106,"to_index":109,"interior_indices":[107,108],"interior_values":[313,496],"sum":809,"residue":9},{"from_index":109,"to_index":112,"interior_indices":[110,111],"interior_values":[505,514],"sum":1019,"residue":219},{"from_index":112,"to_index":116,"interior_indices":[113,114,115],"interior_values":[733,152,85],"sum":970,"residue":170},{"from_index":116,"to_index":119,"interior_indices":[117,118],"interior_values":[322,559],"sum":881,"residue":81},{"from_index":119,"to_index":122,"interior_indices":[120,121],"interior_values":[640,721],"sum":1361,"residue":561},{"from_index":122,"to_index":124,"interior_indices":[123],"interior_values":[482],"sum":482,"residue":482},{"from_index":124,"to_index":126,"interior_indices":[125],"interior_values":[725],"sum":725,"residue":725},{"from_index":126,"to_index":127,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":127,"to_index":128,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":128,"to_index":129,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":129,"to_index":130,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":130,"to_index":133,"interior_indices":[131,132],"interior_values":[169,784],"sum":953,"residue":153},{"from_index":133,"to_index":137,"interior_indices":[134,135,136],"interior_values":[137,290,427],"sum":854,"residue":54},{"from_index":137,"to_index":139,"interior_indices":[138],"interior_values":[344],"sum":344,"residue":344},{"from_index":139,"to_index":141,"interior_indices":[140],"interior_values":[605],"sum":605,"residue":605},{"from_index":141,"to_index":149,"interior_indices":[142,143,144,145,146,147,148],"interior_values":[671,737,608,545,353,98,451],"sum":3463,"residue":263},{"from_index":149,"to_index":155,"interior_indices":[150,151,152,153,154],"interior_values":[200,749,149,98,247],"sum":1443,"residue":643},{"from_index":155,"to_index":158,"interior_indices":[156,157],"interior_values":[592,137],"sum":729,"residue":729},{"from_index":158,"to_index":159,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":159,"to_index":160,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":160,"to_index":163,"interior_indices":[161,162],"interior_values":[61,56],"sum":117,"residue":117},{"from_index":163,"to_index":167,"interior_indices":[164,165,166],"interior_values":[173,290,463],"sum":926,"residue":126},{"from_index":167,"to_index":169,"interior_indices":[168],"interior_values":[416],"sum":416,"residue":416},{"from_index":169,"to_index":171,"interior_indices":[170],"interior_values":[785],"sum":785,"residue":785},{"from_index":171,"to_index":172,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":172,"to_index":173,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":173,"to_index":176,"interior_indices":[174,175],"interior_values":[232,125],"sum":357,"residue":357},{"from_index":176,"to_index":178,"interior_indices":[177],"interior_values":[482],"sum":482,"residue":482},{"from_index":178,"to_index":184,"interior_indices":[179,180,181,182,183],"interior_values":[521,560,281,41,322],"sum":1725,"residue":125},{"from_index":184,"to_index":188,"interior_indices":[185,186,187],"interior_values":[685,248,133],"sum":1066,"residue":266},{"from_index":188,"to_index":191,"interior_indices":[189,190],"interior_values":[514,95],"sum":609,"residue":609},{"from_index":191,"to_index":193,"interior_indices":[192],"interior_values":[704],"sum":704,"residue":704},{"from_index":193,"to_index":194,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":194,"to_index":204,"interior_indices":[195,196,197,198,199,200,201,202,203],"interior_values":[130,547,677,424,301,725,226,151,377],"sum":3558,"residue":358},{"from_index":204,"to_index":205,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":205,"to_index":206,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":206,"to_index":207,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":207,"to_index":211,"interior_indices":[208,209,210],"interior_values":[571,509,280],"sum":1360,"residue":560},{"from_index":211,"to_index":213,"interior_indices":[212],"interior_values":[269],"sum":269,"residue":269},{"from_index":213,"to_index":221,"interior_indices":[214,215,216,217,218,219,220],"interior_values":[527,785,512,497,209,706,115],"sum":3351,"residue":151},{"from_index":221,"to_index":225,"interior_indices":[222,223,224],"interior_values":[136,157,293],"sum":586,"residue":586},{"from_index":225,"to_index":227,"interior_indices":[226],"interior_values":[743],"sum":743,"residue":743},{"from_index":227,"to_index":228,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":228,"to_index":229,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":229,"to_index":232,"interior_indices":[230,231],"interior_values":[265,194],"sum":459,"residue":459},{"from_index":232,"to_index":234,"interior_indices":[233],"interior_values":[653],"sum":653,"residue":653},{"from_index":234,"to_index":235,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":235,"to_index":236,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":236,"to_index":237,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":237,"to_index":240,"interior_indices":[238,239],"interior_values":[319,161],"sum":480,"residue":480},{"from_index":240,"to_index":242,"interior_indices":[241],"interior_values":[641],"sum":641,"residue":641},{"from_index":242,"to_index":243,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":243,"to_index":244,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":244,"to_index":245,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":245,"to_index":248,"interior_indices":[246,247],"interior_values":[328,173],"sum":501,"residue":501},{"from_index":248,"to_index":250,"interior_indices":[249],"interior_values":[674],"sum":674,"residue":674},{"from_index":250,"to_index":251,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":251,"to_index":252,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":252,"to_index":258,"interior_indices":[253,254,255,256,257],"interior_values":[73,697,770,667,637],"sum":2844,"residue":444},{"from_index":258,"to_index":260,"interior_indices":[259],"interior_values":[341],"sum":341,"residue":341},{"from_index":260,"to_index":265,"interior_indices":[261,262,263,264],"interior_values":[386,431,17,448],"sum":1282,"residue":482},{"from_index":265,"to_index":270,"interior_indices":[266,267,268,269],"interior_values":[113,578,691,469],"sum":1851,"residue":251},{"from_index":270,"to_index":276,"interior_indices":[271,272,273,274,275],"interior_values":[29,389,418,7,425],"sum":1268,"residue":468},{"from_index":276,"to_index":277,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":277,"to_index":278,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"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":[235,781],"sum":1016,"residue":216},{"from_index":282,"to_index":287,"interior_indices":[283,284,285,286],"interior_values":[197,413,610,223],"sum":1443,"residue":643},{"from_index":287,"to_index":292,"interior_indices":[288,289,290,291],"interior_values":[256,289,545,34],"sum":1124,"residue":324},{"from_index":292,"to_index":296,"interior_indices":[293,294,295],"interior_values":[613,392,205],"sum":1210,"residue":410},{"from_index":296,"to_index":301,"interior_indices":[297,298,299,300],"interior_values":[2,599,601,400],"sum":1602,"residue":2},{"from_index":301,"to_index":304,"interior_indices":[302,303],"interior_values":[601,2],"sum":603,"residue":603},{"from_index":304,"to_index":306,"interior_indices":[305],"interior_values":[605],"sum":605,"residue":605},{"from_index":306,"to_index":307,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":307,"to_index":308,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":308,"to_index":314,"interior_indices":[309,310,311,312,313],"interior_values":[34,655,689,544,433],"sum":2355,"residue":755},{"from_index":314,"to_index":317,"interior_indices":[315,316],"interior_values":[610,787],"sum":1397,"residue":597},{"from_index":317,"to_index":319,"interior_indices":[318],"interior_values":[584],"sum":584,"residue":584},{"from_index":319,"to_index":320,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":320,"to_index":321,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":321,"to_index":322,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":322,"to_index":326,"interior_indices":[323,324,325],"interior_values":[457,368,25],"sum":850,"residue":50},{"from_index":326,"to_index":329,"interior_indices":[327,328],"interior_values":[418,11],"sum":429,"residue":429},{"from_index":329,"to_index":331,"interior_indices":[330],"interior_values":[440],"sum":440,"residue":440},{"from_index":331,"to_index":337,"interior_indices":[332,333,334,335,336],"interior_values":[509,578,287,65,352],"sum":1791,"residue":191},{"from_index":337,"to_index":341,"interior_indices":[338,339,340],"interior_values":[769,386,355],"sum":1510,"residue":710},{"from_index":341,"to_index":343,"interior_indices":[342],"interior_values":[296],"sum":296,"residue":296},{"from_index":343,"to_index":352,"interior_indices":[344,345,346,347,348,349,350,351],"interior_values":[533,770,503,473,176,649,25,674],"sum":3803,"residue":603},{"from_index":352,"to_index":353,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":353,"to_index":356,"interior_indices":[354,355],"interior_values":[472,245],"sum":717,"residue":717},{"from_index":356,"to_index":357,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":357,"to_index":361,"interior_indices":[358,359,360],"interior_values":[79,241,320],"sum":640,"residue":640},{"from_index":361,"to_index":362,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":362,"to_index":363,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":363,"to_index":364,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":364,"to_index":368,"interior_indices":[365,366,367],"interior_values":[565,488,253],"sum":1306,"residue":506},{"from_index":368,"to_index":370,"interior_indices":[369],"interior_values":[194],"sum":194,"residue":194},{"from_index":370,"to_index":375,"interior_indices":[371,372,373,374],"interior_values":[329,464,793,457],"sum":2043,"residue":443},{"from_index":375,"to_index":380,"interior_indices":[376,377,378,379],"interior_values":[107,557,664,421],"sum":1749,"residue":149},{"from_index":380,"to_index":384,"interior_indices":[381,382,383],"interior_values":[706,191,97],"sum":994,"residue":194},{"from_index":384,"to_index":387,"interior_indices":[385,386],"interior_values":[385,673],"sum":1058,"residue":258},{"from_index":387,"to_index":393,"interior_indices":[388,389,390,391,392],"interior_values":[131,389,520,109,629],"sum":1778,"residue":178},{"from_index":393,"to_index":394,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":394,"to_index":397,"interior_indices":[395,396],"interior_values":[505,272],"sum":777,"residue":777},{"from_index":397,"to_index":398,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":398,"to_index":406,"interior_indices":[399,400,401,402,403,404,405],"interior_values":[226,475,701,376,277,653,130],"sum":2838,"residue":438},{"from_index":406,"to_index":408,"interior_indices":[407],"interior_values":[113],"sum":113,"residue":113},{"from_index":408,"to_index":414,"interior_indices":[409,410,411,412,413],"interior_values":[209,305,514,19,533],"sum":1580,"residue":780},{"from_index":414,"to_index":415,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":415,"to_index":419,"interior_indices":[416,417,418],"interior_values":[37,322,359],"sum":718,"residue":718},{"from_index":419,"to_index":420,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":420,"to_index":425,"interior_indices":[421,422,423,424],"interior_values":[121,361,482,43],"sum":1007,"residue":207},{"from_index":425,"to_index":429,"interior_indices":[426,427,428],"interior_values":[568,293,61],"sum":922,"residue":122},{"from_index":429,"to_index":432,"interior_indices":[430,431],"interior_values":[415,769],"sum":1184,"residue":384},{"from_index":432,"to_index":438,"interior_indices":[433,434,435,436,437],"interior_values":[353,737,290,227,517],"sum":2124,"residue":524},{"from_index":438,"to_index":440,"interior_indices":[439],"interior_values":[461],"sum":461,"residue":461},{"from_index":440,"to_index":441,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":441,"to_index":442,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":442,"to_index":443,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":443,"to_index":446,"interior_indices":[444,445],"interior_values":[208,745],"sum":953,"residue":153},{"from_index":446,"to_index":450,"interior_indices":[447,448,449],"interior_values":[98,251,349],"sum":698,"residue":698},{"from_index":450,"to_index":456,"interior_indices":[451,452,453,454,455],"interior_values":[149,749,98,47,145],"sum":1188,"residue":388},{"from_index":456,"to_index":459,"interior_indices":[457,458],"interior_values":[337,529],"sum":866,"residue":66},{"from_index":459,"to_index":462,"interior_indices":[460,461],"interior_values":[595,661],"sum":1256,"residue":456},{"from_index":462,"to_index":470,"interior_indices":[463,464,465,466,467,468,469],"interior_values":[317,773,290,263,553,16,569],"sum":2781,"residue":381},{"from_index":470,"to_index":471,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":471,"to_index":478,"interior_indices":[472,473,474,475,476,477],"interior_values":[139,493,632,325,157,482],"sum":2228,"residue":628},{"from_index":478,"to_index":479,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":479,"to_index":486,"interior_indices":[480,481,482,483,484,485],"interior_values":[160,481,641,322,163,485],"sum":2252,"residue":652},{"from_index":486,"to_index":487,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":487,"to_index":497,"interior_indices":[488,489,490,491,492,493,494,495,496],"interior_values":[181,514,695,409,304,713,217,130,347],"sum":3510,"residue":310},{"from_index":497,"to_index":498,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":498,"to_index":499,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":499,"to_index":500,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":500,"to_index":503,"interior_indices":[501,502],"interior_values":[226,751],"sum":977,"residue":177},{"from_index":503,"to_index":507,"interior_indices":[504,505,506],"interior_values":[128,305,433],"sum":866,"residue":66},{"from_index":507,"to_index":509,"interior_indices":[508],"interior_values":[371],"sum":371,"residue":371},{"from_index":509,"to_index":511,"interior_indices":[510],"interior_values":[680],"sum":680,"residue":680},{"from_index":511,"to_index":512,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":512,"to_index":513,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":513,"to_index":514,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":514,"to_index":515,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":515,"to_index":518,"interior_indices":[516,517],"interior_values":[112,697],"sum":809,"residue":9},{"from_index":518,"to_index":521,"interior_indices":[519,520],"interior_values":[706,715],"sum":1421,"residue":621},{"from_index":521,"to_index":523,"interior_indices":[522],"interior_values":[536],"sum":536,"residue":536},{"from_index":523,"to_index":524,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":524,"to_index":525,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":525,"to_index":526,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":526,"to_index":529,"interior_indices":[527,528],"interior_values":[193,736],"sum":929,"residue":129},{"from_index":529,"to_index":533,"interior_indices":[530,531,532],"interior_values":[65,194,259],"sum":518,"residue":518},{"from_index":533,"to_index":537,"interior_indices":[534,535,536],"interior_values":[712,365,277],"sum":1354,"residue":554},{"from_index":537,"to_index":543,"interior_indices":[538,539,540,541,542],"interior_values":[119,761,80,41,121],"sum":1122,"residue":322},{"from_index":543,"to_index":553,"interior_indices":[544,545,546,547,548,549,550,551,552],"interior_values":[283,445,728,373,301,674,175,49,224],"sum":3252,"residue":52},{"from_index":553,"to_index":560,"interior_indices":[554,555,556,557,558,559],"interior_values":[497,770,467,437,104,541],"sum":2816,"residue":416},{"from_index":560,"to_index":562,"interior_indices":[561],"interior_values":[386],"sum":386,"residue":386},{"from_index":562,"to_index":564,"interior_indices":[563],"interior_values":[617],"sum":617,"residue":617},{"from_index":564,"to_index":572,"interior_indices":[565,566,567,568,569,570,571],"interior_values":[665,713,578,491,269,760,229],"sum":3705,"residue":505},{"from_index":572,"to_index":575,"interior_indices":[573,574],"interior_values":[418,607],"sum":1025,"residue":225},{"from_index":575,"to_index":579,"interior_indices":[576,577,578],"interior_values":[32,257,289],"sum":578,"residue":578},{"from_index":579,"to_index":584,"interior_indices":[580,581,582,583],"interior_values":[35,581,616,397],"sum":1629,"residue":29},{"from_index":584,"to_index":587,"interior_indices":[585,586],"interior_values":[610,23],"sum":633,"residue":633},{"from_index":587,"to_index":589,"interior_indices":[588],"interior_values":[656],"sum":656,"residue":656},{"from_index":589,"to_index":590,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":590,"to_index":594,"interior_indices":[591,592,593],"interior_values":[34,379,413],"sum":826,"residue":26},{"from_index":594,"to_index":595,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":595,"to_index":598,"interior_indices":[596,597],"interior_values":[397,2],"sum":399,"residue":399},{"from_index":598,"to_index":600,"interior_indices":[599],"interior_values":[401],"sum":401,"residue":401},{"from_index":600,"to_index":605,"interior_indices":[601,602,603,604],"interior_values":[401,401,2,403],"sum":1207,"residue":407},{"from_index":605,"to_index":611,"interior_indices":[606,607,608,609,610],"interior_values":[8,413,421,34,455],"sum":1331,"residue":531},{"from_index":611,"to_index":612,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":612,"to_index":613,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":613,"to_index":614,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":614,"to_index":620,"interior_indices":[615,616,617,618,619],"interior_values":[610,587,397,184,581],"sum":2359,"residue":759},{"from_index":620,"to_index":621,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":621,"to_index":624,"interior_indices":[622,623],"interior_values":[511,257],"sum":768,"residue":768},{"from_index":624,"to_index":625,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":625,"to_index":632,"interior_indices":[626,627,628,629,630,631],"interior_values":[193,418,611,229,40,269],"sum":1760,"residue":160},{"from_index":632,"to_index":634,"interior_indices":[633],"interior_values":[578],"sum":578,"residue":578},{"from_index":634,"to_index":642,"interior_indices":[635,636,637,638,639,640,641],"interior_values":[665,752,617,569,386,155,541],"sum":3685,"residue":485},{"from_index":642,"to_index":644,"interior_indices":[643],"interior_values":[437],"sum":437,"residue":437},{"from_index":644,"to_index":646,"interior_indices":[645],"interior_values":[770],"sum":770,"residue":770},{"from_index":646,"to_index":647,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":647,"to_index":648,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":648,"to_index":654,"interior_indices":[649,650,651,652,653],"interior_values":[49,625,674,499,373],"sum":2220,"residue":620},{"from_index":654,"to_index":657,"interior_indices":[655,656],"interior_values":[445,517],"sum":962,"residue":162},{"from_index":657,"to_index":660,"interior_indices":[658,659],"interior_values":[679,41],"sum":720,"residue":720},{"from_index":660,"to_index":662,"interior_indices":[661],"interior_values":[761],"sum":761,"residue":761},{"from_index":662,"to_index":663,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":663,"to_index":667,"interior_indices":[664,665,666],"interior_values":[523,365,88],"sum":976,"residue":176},{"from_index":667,"to_index":670,"interior_indices":[668,669],"interior_values":[541,194],"sum":735,"residue":735},{"from_index":670,"to_index":671,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":671,"to_index":675,"interior_indices":[672,673,674],"interior_values":[64,193,257],"sum":514,"residue":514},{"from_index":675,"to_index":677,"interior_indices":[676],"interior_values":[707],"sum":707,"residue":707},{"from_index":677,"to_index":678,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":678,"to_index":679,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":679,"to_index":685,"interior_indices":[680,681,682,683,684],"interior_values":[85,706,791,697,688],"sum":2967,"residue":567},{"from_index":685,"to_index":687,"interior_indices":[686],"interior_values":[473],"sum":473,"residue":473},{"from_index":687,"to_index":689,"interior_indices":[688],"interior_values":[731],"sum":731,"residue":731},{"from_index":689,"to_index":690,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":690,"to_index":691,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":691,"to_index":692,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":692,"to_index":693,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":693,"to_index":696,"interior_indices":[694,695],"interior_values":[367,305],"sum":672,"residue":672},{"from_index":696,"to_index":697,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":697,"to_index":701,"interior_indices":[698,699,700],"interior_values":[49,226,275],"sum":550,"residue":550},{"from_index":701,"to_index":703,"interior_indices":[702],"interior_values":[776],"sum":776,"residue":776},{"from_index":703,"to_index":704,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":704,"to_index":710,"interior_indices":[705,706,707,708,709],"interior_values":[130,583,713,496,409],"sum":2331,"residue":731},{"from_index":710,"to_index":713,"interior_indices":[711,712],"interior_values":[514,619],"sum":1133,"residue":333},{"from_index":713,"to_index":718,"interior_indices":[714,715,716,717],"interior_values":[152,485,637,322],"sum":1596,"residue":796},{"from_index":718,"to_index":721,"interior_indices":[719,720],"interior_values":[481,640],"sum":1121,"residue":321},{"from_index":721,"to_index":726,"interior_indices":[722,723,724,725],"interior_values":[161,482,643,325],"sum":1611,"residue":11},{"from_index":726,"to_index":729,"interior_indices":[727,728],"interior_values":[493,661],"sum":1154,"residue":354},{"from_index":729,"to_index":734,"interior_indices":[730,731,732,733],"interior_values":[215,569,784,553],"sum":2121,"residue":521},{"from_index":734,"to_index":736,"interior_indices":[735],"interior_values":[290],"sum":290,"residue":290},{"from_index":736,"to_index":741,"interior_indices":[737,738,739,740],"interior_values":[317,344,661,205],"sum":1527,"residue":727},{"from_index":741,"to_index":746,"interior_indices":[742,743,744,745],"interior_values":[271,337,608,145],"sum":1361,"residue":561},{"from_index":746,"to_index":748,"interior_indices":[747],"interior_values":[98],"sum":98,"residue":98},{"from_index":748,"to_index":752,"interior_indices":[749,750,751],"interior_values":[149,200,349],"sum":698,"residue":698},{"from_index":752,"to_index":757,"interior_indices":[753,754,755,756],"interior_values":[98,647,745,592],"sum":2082,"residue":482},{"from_index":757,"to_index":759,"interior_indices":[758],"interior_values":[329],"sum":329,"residue":329},{"from_index":759,"to_index":764,"interior_indices":[760,761,762,763],"interior_values":[395,461,56,517],"sum":1429,"residue":629},{"from_index":764,"to_index":766,"interior_indices":[765],"interior_values":[290],"sum":290,"residue":290},{"from_index":766,"to_index":771,"interior_indices":[767,768,769,770],"interior_values":[353,416,769,385],"sum":1923,"residue":323},{"from_index":771,"to_index":775,"interior_indices":[772,773,774],"interior_values":[739,293,232],"sum":1264,"residue":464},{"from_index":775,"to_index":781,"interior_indices":[776,777,778,779,780],"interior_values":[757,482,439,121,560],"sum":2359,"residue":759},{"from_index":781,"to_index":782,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":782,"to_index":785,"interior_indices":[783,784],"interior_values":[322,763],"sum":1085,"residue":285},{"from_index":785,"to_index":790,"interior_indices":[786,787,788,789],"interior_values":[248,533,781,514],"sum":2076,"residue":476},{"from_index":790,"to_index":796,"interior_indices":[791,792,793,794,795],"interior_values":[209,704,113,17,130],"sum":1173,"residue":373},{"from_index":796,"to_index":803,"interior_indices":[797,798,799,800,801,802],"interior_values":[277,424,701,325,226,551],"sum":2504,"residue":104},{"from_index":803,"to_index":804,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":804,"to_index":807,"interior_indices":[805,806],"interior_values":[505,233],"sum":738,"residue":738},{"from_index":807,"to_index":808,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":808,"to_index":812,"interior_indices":[809,810,811],"interior_values":[109,280,389],"sum":778,"residue":778},{"from_index":812,"to_index":813,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":813,"to_index":818,"interior_indices":[814,815,816,817],"interior_values":[127,385,512,97],"sum":1121,"residue":321},{"from_index":818,"to_index":824,"interior_indices":[819,820,821,822,823],"interior_values":[706,515,421,136,557],"sum":2335,"residue":735},{"from_index":824,"to_index":825,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":825,"to_index":828,"interior_indices":[826,827],"interior_values":[343,793],"sum":1136,"residue":336},{"from_index":828,"to_index":834,"interior_indices":[829,830,831,832,833],"interior_values":[329,665,194,59,253],"sum":1500,"residue":700},{"from_index":834,"to_index":837,"interior_indices":[835,836],"interior_values":[565,77],"sum":642,"residue":642},{"from_index":837,"to_index":839,"interior_indices":[838],"interior_values":[719],"sum":719,"residue":719},{"from_index":839,"to_index":840,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":840,"to_index":843,"interior_indices":[841,842],"interior_values":[241,721],"sum":962,"residue":162},{"from_index":843,"to_index":847,"interior_indices":[844,845,846],"interior_values":[83,245,328],"sum":656,"residue":656},{"from_index":847,"to_index":852,"interior_indices":[848,849,850,851],"interior_values":[101,674,775,649],"sum":2199,"residue":599},{"from_index":852,"to_index":854,"interior_indices":[853],"interior_values":[473],"sum":473,"residue":473},{"from_index":854,"to_index":856,"interior_indices":[855],"interior_values":[770],"sum":770,"residue":770},{"from_index":856,"to_index":857,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":857,"to_index":858,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":858,"to_index":859,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":859,"to_index":863,"interior_indices":[860,861,862],"interior_values":[445,386,31],"sum":862,"residue":62},{"from_index":863,"to_index":866,"interior_indices":[864,865],"interior_values":[448,65],"sum":513,"residue":513},{"from_index":866,"to_index":868,"interior_indices":[867],"interior_values":[578],"sum":578,"residue":578},{"from_index":868,"to_index":869,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":869,"to_index":870,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":870,"to_index":871,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":871,"to_index":872,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":872,"to_index":876,"interior_indices":[873,874,875],"interior_values":[418,407,25],"sum":850,"residue":50},{"from_index":876,"to_index":879,"interior_indices":[877,878],"interior_values":[457,89],"sum":546,"residue":546},{"from_index":879,"to_index":881,"interior_indices":[880],"interior_values":[635],"sum":635,"residue":635},{"from_index":881,"to_index":882,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":882,"to_index":883,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":883,"to_index":893,"interior_indices":[884,885,886,887,888,889,890,891,892],"interior_values":[13,610,623,433,256,689,145,34,179],"sum":2982,"residue":582},{"from_index":893,"to_index":899,"interior_indices":[894,895,896,897,898],"interior_values":[392,605,197,2,199],"sum":1395,"residue":595},{"from_index":899,"to_index":902,"interior_indices":[900,901],"interior_values":[400,601],"sum":1001,"residue":201},{"from_index":902,"to_index":906,"interior_indices":[903,904,905],"interior_values":[2,203,205],"sum":410,"residue":410},{"from_index":906,"to_index":910,"interior_indices":[907,908,909],"interior_values":[613,221,34],"sum":868,"residue":68},{"from_index":910,"to_index":913,"interior_indices":[911,912],"interior_values":[289,544],"sum":833,"residue":33},{"from_index":913,"to_index":916,"interior_indices":[914,915],"interior_values":[577,610],"sum":1187,"residue":387},{"from_index":916,"to_index":921,"interior_indices":[917,918,919,920],"interior_values":[197,584,781,565],"sum":2127,"residue":527},{"from_index":921,"to_index":923,"interior_indices":[922],"interior_values":[311],"sum":311,"residue":311},{"from_index":923,"to_index":928,"interior_indices":[924,925,926,927],"interior_values":[368,425,793,418],"sum":2004,"residue":404},{"from_index":928,"to_index":934,"interior_indices":[929,930,931,932,933],"interior_values":[29,440,469,109,578],"sum":1625,"residue":25},{"from_index":934,"to_index":935,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":935,"to_index":938,"interior_indices":[936,937],"interior_values":[352,17],"sum":369,"residue":369},{"from_index":938,"to_index":949,"interior_indices":[939,940,941,942,943,944,945,946,947,948],"interior_values":[386,755,341,296,637,133,770,103,73,176],"sum":3670,"residue":470},{"from_index":949,"to_index":955,"interior_indices":[950,951,952,953,954],"interior_values":[425,674,299,173,472],"sum":2043,"residue":443},{"from_index":955,"to_index":957,"interior_indices":[956],"interior_values":[317],"sum":317,"residue":317},{"from_index":957,"to_index":963,"interior_indices":[958,959,960,961,962],"interior_values":[479,641,320,161,481],"sum":2082,"residue":482},{"from_index":963,"to_index":965,"interior_indices":[964],"interior_values":[323],"sum":323,"residue":323},{"from_index":965,"to_index":971,"interior_indices":[966,967,968,969,970],"interior_values":[488,653,341,194,535],"sum":2211,"residue":611},{"from_index":971,"to_index":973,"interior_indices":[972],"interior_values":[464],"sum":464,"residue":464},{"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":976,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":976,"to_index":979,"interior_indices":[977,978],"interior_values":[157,664],"sum":821,"residue":21},{"from_index":979,"to_index":982,"interior_indices":[980,981],"interior_values":[685,706],"sum":1391,"residue":591},{"from_index":982,"to_index":984,"interior_indices":[983],"interior_values":[497],"sum":497,"residue":497},{"from_index":984,"to_index":986,"interior_indices":[985],"interior_values":[785],"sum":785,"residue":785},{"from_index":986,"to_index":987,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":987,"to_index":988,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":988,"to_index":989,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":989,"to_index":993,"interior_indices":[990,991,992],"interior_values":[520,509,229],"sum":1258,"residue":458},{"from_index":993,"to_index":995,"interior_indices":[994],"interior_values":[167],"sum":167,"residue":167},{"from_index":995,"to_index":1000,"interior_indices":[996,997,998,999],"interior_values":[272,377,649,226],"sum":1524,"residue":724},{"from_index":1000,"to_index":1007,"interior_indices":[1001,1002,1003,1004,1005,1006],"interior_values":[301,376,677,253,130,383],"sum":2120,"residue":520},{"from_index":1007,"to_index":1008,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1008,"to_index":1009,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1009,"to_index":1010,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1010,"to_index":1014,"interior_indices":[1011,1012,1013],"interior_values":[514,419,133],"sum":1066,"residue":266},{"from_index":1014,"to_index":1018,"interior_indices":[1015,1016,1017],"interior_values":[685,437,322],"sum":1444,"residue":644},{"from_index":1018,"to_index":1020,"interior_indices":[1019],"interior_values":[281],"sum":281,"residue":281},{"from_index":1020,"to_index":1027,"interior_indices":[1021,1022,1023,1024,1025,1026],"interior_values":[521,761,482,443,125,568],"sum":2900,"residue":500},{"from_index":1027,"to_index":1029,"interior_indices":[1028],"interior_values":[461],"sum":461,"residue":461},{"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":1032,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1032,"to_index":1033,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1033,"to_index":1036,"interior_indices":[1034,1035],"interior_values":[337,290],"sum":627,"residue":627},{"from_index":1036,"to_index":1037,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1037,"to_index":1038,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1038,"to_index":1041,"interior_indices":[1039,1040],"interior_values":[61,5],"sum":66,"residue":66},{"from_index":1041,"to_index":1045,"interior_indices":[1042,1043,1044],"interior_values":[71,137,208],"sum":416,"residue":416},{"from_index":1045,"to_index":1048,"interior_indices":[1046,1047],"interior_values":[553,98],"sum":651,"residue":651},{"from_index":1048,"to_index":1050,"interior_indices":[1049],"interior_values":[749],"sum":749,"residue":749},{"from_index":1050,"to_index":1051,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1051,"to_index":1054,"interior_indices":[1052,1053],"interior_values":[349,98],"sum":447,"residue":447},{"from_index":1054,"to_index":1056,"interior_indices":[1055],"interior_values":[545],"sum":545,"residue":545},{"from_index":1056,"to_index":1058,"interior_indices":[1057],"interior_values":[737],"sum":737,"residue":737},{"from_index":1058,"to_index":1059,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1059,"to_index":1060,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1060,"to_index":1061,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1061,"to_index":1062,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1062,"to_index":1063,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1063,"to_index":1066,"interior_indices":[1064,1065],"interior_values":[373,290],"sum":663,"residue":663},{"from_index":1066,"to_index":1067,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1067,"to_index":1071,"interior_indices":[1068,1069,1070],"interior_values":[16,169,185],"sum":370,"residue":370},{"from_index":1071,"to_index":1073,"interior_indices":[1072],"interior_values":[539],"sum":539,"residue":539},{"from_index":1073,"to_index":1081,"interior_indices":[1074,1075,1076,1077,1078,1079,1080],"interior_values":[632,725,557,482,239,721,160],"sum":3516,"residue":316},{"from_index":1081,"to_index":1086,"interior_indices":[1082,1083,1084,1085],"interior_values":[241,322,563,85],"sum":1211,"residue":411},{"from_index":1086,"to_index":1091,"interior_indices":[1087,1088,1089,1090],"interior_values":[733,581,514,295],"sum":2123,"residue":523},{"from_index":1091,"to_index":1096,"interior_indices":[1092,1093,1094,1095],"interior_values":[304,313,617,130],"sum":1364,"residue":564},{"from_index":1096,"to_index":1098,"interior_indices":[1097],"interior_values":[77],"sum":77,"residue":77},{"from_index":1098,"to_index":1102,"interior_indices":[1099,1100,1101],"interior_values":[101,125,226],"sum":452,"residue":452},{"from_index":1102,"to_index":1105,"interior_indices":[1103,1104],"interior_values":[577,128],"sum":705,"residue":705},{"from_index":1105,"to_index":1106,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1106,"to_index":1107,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1107,"to_index":1108,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1108,"to_index":1113,"interior_indices":[1109,1110,1111,1112],"interior_values":[709,680,589,469],"sum":2447,"residue":47},{"from_index":1113,"to_index":1117,"interior_indices":[1114,1115,1116],"interior_values":[727,185,112],"sum":1024,"residue":224},{"from_index":1117,"to_index":1120,"interior_indices":[1118,1119],"interior_values":[409,706],"sum":1115,"residue":315},{"from_index":1120,"to_index":1125,"interior_indices":[1121,1122,1123,1124],"interior_values":[221,536,757,493],"sum":2007,"residue":407},{"from_index":1125,"to_index":1130,"interior_indices":[1126,1127,1128,1129],"interior_values":[143,593,736,529],"sum":2001,"residue":401},{"from_index":1130,"to_index":1135,"interior_indices":[1131,1132,1133,1134],"interior_values":[194,659,53,712],"sum":1618,"residue":18},{"from_index":1135,"to_index":1137,"interior_indices":[1136],"interior_values":[677],"sum":677,"residue":677},{"from_index":1137,"to_index":1138,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1138,"to_index":1141,"interior_indices":[1139,1140],"interior_values":[361,80],"sum":441,"residue":441},{"from_index":1141,"to_index":1143,"interior_indices":[1142],"interior_values":[521],"sum":521,"residue":521},{"from_index":1143,"to_index":1145,"interior_indices":[1144],"interior_values":[683],"sum":683,"residue":683},{"from_index":1145,"to_index":1159,"interior_indices":[1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158],"interior_values":[728,773,701,674,575,449,224,673,97,770,67,37,104],"sum":5872,"residue":272},{"from_index":1159,"to_index":1164,"interior_indices":[1160,1161,1162,1163],"interior_values":[245,386,631,217],"sum":1479,"residue":679},{"from_index":1164,"to_index":1169,"interior_indices":[1165,1166,1167,1168],"interior_values":[265,313,578,91],"sum":1247,"residue":447},{"from_index":1169,"to_index":1174,"interior_indices":[1170,1171,1172,1173],"interior_values":[760,629,589,418],"sum":2396,"residue":796},{"from_index":1174,"to_index":1177,"interior_indices":[1175,1176],"interior_values":[625,32],"sum":657,"residue":657},{"from_index":1177,"to_index":1179,"interior_indices":[1178],"interior_values":[689],"sum":689,"residue":689},{"from_index":1179,"to_index":1180,"interior_indices":[],"interior_values":[],"sum":0,"residue":0},{"from_index":1180,"to_index":1186,"interior_indices":[1181,1182,1183,1184,1185],"interior_values":[181,616,797,613,610],"sum":2817,"residue":417},{"from_index":1186,"to_index":1194,"interior_indices":[1187,1188,1189,1190,1191,1192,1193],"interior_values":[233,656,89,745,34,779,13],"sum":2549,"residue":149},{"from_index":1194,"to_index":0,"interior_indices":[1195,1196,1197,1198,1199],"interior_values":[5,797,2,799,1],"sum":1604,"residue":4}],"minimal_cycle":[4,26,178,534,0,0,0,116,363,0,0,516,449,674,773,0,0,0,0,0,0,642,0,0,141,115,0,264,203,146,120,738,767,0,452,337,9,219,170,81,561,482,725,0,0,0,0,153,54,344,605,263,643,729,0,0,117,126,416,785,0,0,357,482,125,266,609,704,0,358,0,0,0,560,269,151,586,743,0,0,459,653,0,0,0,480,641,0,0,0,501,674,0,0,444,341,482,251,468,0,0,0,216,643,324,410,2,603,605,0,0,755,597,584,0,0,0,50,429,440,191,710,296,603,0,717,0,640,0,0,0,506,194,443,149,194,258,178,0,777,0,438,113,780,0,718,0,207,122,384,524,461,0,0,0,153,698,388,66,456,381,0,628,0,652,0,310,0,0,0,177,66,371,680,0,0,0,0,9,621,536,0,0,0,129,518,554,322,52,416,386,617,505,225,578,29,633,656,0,26,0,399,401,407,531,0,0,0,759,0,768,0,160,578,485,437,770,0,0,620,162,720,761,0,176,735,0,514,707,0,0,567,473,731,0,0,0,0,672,0,550,776,0,731,333,796,321,11,354,521,290,727,561,98,698,482,329,629,290,323,464,759,0,285,476,373,104,0,738,0,778,0,321,735,0,336,700,642,719,0,162,656,599,473,770,0,0,0,62,513,578,0,0,0,0,50,546,635,0,0,582,595,201,410,68,33,387,527,311,404,25,0,369,470,443,317,482,323,611,464,0,0,0,21,591,497,785,0,0,0,458,167,724,520,0,0,0,266,644,281,500,461,0,0,0,0,627,0,0,66,416,651,749,0,447,545,737,0,0,0,0,0,663,0,370,539,316,411,523,564,77,452,705,0,0,0,47,224,315,407,401,18,677,0,441,521,683,272,679,447,796,657,689,0,417,149,4],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[1200,4],"start_interval_values":[1,1,2],"circle_positions":800,"cycle_length":397,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon":null,"epsilon_routes":[],"epsilon_status":"Null: no tested regular six-node reference traversal contains only 3, 6 and 9 with all three present.","geometry_summary":{"rule_version":"native-pilot-v1","scope":"Shapes in the primary Gamma node set (native residues divisible by 3, including zero). All regular polygons on the period circle are catalogued separately with their native values; their existence alone is a property of the plotting grid.","circle_role":"Pisano-period plotting framework","shapes":[{"name":"Equilateral triangle","status":"Present","count":11,"orientation":"2.4° / 12° / 16.8° / 17.7° / 55.2° / 69.6° / 74.4° / 78° / 88.8° / 102.3° / 109.2°","rotation_degrees":null,"rotations_degrees":[2.4,12.0,16.8,17.7,55.2,69.6,74.4,78.0,88.8,102.3,109.2],"alpha_paths":[[8,408,808,8],[40,440,840,40],[56,456,856,56],[59,459,859,59],[184,584,984,184],[232,632,1032,232],[248,648,1048,248],[260,660,1060,260],[296,696,1096,296],[341,741,1141,341],[364,764,1164,364]]},{"name":"Hexagon","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"2D stellated octahedron","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"Chevron","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]},{"name":"Unicursal hexagram","status":"Absent","count":0,"orientation":null,"rotation_degrees":null,"rotations_degrees":[],"alpha_paths":[]}],"other_orientations_status":"Present","epsilon_rule":"A regular six-node formation must support the reference unicursal route through only 3, 6 and 9, containing all three. Rotations and reflections of the route are tested; reversed or cyclically shifted traversals are deduplicated."},"formation_catalogue":[{"id":"3-nodes-offset-0","shape":"Equilateral triangle","alpha_indices":[0,400,800],"clock_positions":[1200,400,800],"native_values":[800,475,325],"rotation_degrees":0.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[800,475,325],"beta":{"interval_sums":[156700,158250,160250],"interval_residues":[700,650,250],"display_cycle":[700,650,250],"intervals":[{"from_index":0,"to_index":400,"sum":156700,"residue":700},{"from_index":400,"to_index":800,"sum":158250,"residue":650},{"from_index":800,"to_index":0,"sum":160250,"residue":250}],"minimal_cycle":[700,650,250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[1200,400],"circle_positions":800,"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":[1,401,801],"clock_positions":[1,401,801],"native_values":[1,701,226],"rotation_degrees":0.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,701,226],"beta":{"interval_sums":[157174,157874,160024],"interval_residues":[374,274,24],"display_cycle":[374,274,24],"intervals":[{"from_index":1,"to_index":401,"sum":157174,"residue":374},{"from_index":401,"to_index":801,"sum":157874,"residue":274},{"from_index":801,"to_index":1,"sum":160024,"residue":24}],"minimal_cycle":[374,274,24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[1,401],"circle_positions":800,"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":[2,402,802],"clock_positions":[2,402,802],"native_values":[1,376,551],"rotation_degrees":0.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,376,551],"beta":{"interval_sums":[157874,157724,159474],"interval_residues":[274,124,274],"display_cycle":[274,124,274],"intervals":[{"from_index":2,"to_index":402,"sum":157874,"residue":274},{"from_index":402,"to_index":802,"sum":157724,"residue":124},{"from_index":802,"to_index":2,"sum":159474,"residue":274}],"minimal_cycle":[274,124,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[2,402],"circle_positions":800,"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":[3,403,803],"clock_positions":[3,403,803],"native_values":[2,277,777],"rotation_degrees":0.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,277,777],"beta":{"interval_sums":[158248,157998,158698],"interval_residues":[648,398,298],"display_cycle":[648,398,298],"intervals":[{"from_index":3,"to_index":403,"sum":158248,"residue":648},{"from_index":403,"to_index":803,"sum":157998,"residue":398},{"from_index":803,"to_index":3,"sum":158698,"residue":298}],"minimal_cycle":[648,398,298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[3,403],"circle_positions":800,"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":[4,404,804],"clock_positions":[4,404,804],"native_values":[3,653,528],"rotation_degrees":1.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,653,528],"beta":{"interval_sums":[158522,158122,158172],"interval_residues":[122,522,572],"display_cycle":[122,522,572],"intervals":[{"from_index":4,"to_index":404,"sum":158522,"residue":122},{"from_index":404,"to_index":804,"sum":158122,"residue":522},{"from_index":804,"to_index":4,"sum":158172,"residue":572}],"minimal_cycle":[122,522,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[4,404],"circle_positions":800,"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":[5,405,805],"clock_positions":[5,405,805],"native_values":[5,130,505],"rotation_degrees":1.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,130,505],"beta":{"interval_sums":[159170,158520,157670],"interval_residues":[770,120,70],"display_cycle":[770,120,70],"intervals":[{"from_index":5,"to_index":405,"sum":159170,"residue":770},{"from_index":405,"to_index":805,"sum":158520,"residue":120},{"from_index":805,"to_index":5,"sum":157670,"residue":70}],"minimal_cycle":[770,120,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[5,405],"circle_positions":800,"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":[6,406,806],"clock_positions":[6,406,806],"native_values":[8,783,233],"rotation_degrees":1.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,783,233],"beta":{"interval_sums":[159292,158242,157442],"interval_residues":[92,642,642],"display_cycle":[92,642,642],"intervals":[{"from_index":6,"to_index":406,"sum":159292,"residue":92},{"from_index":406,"to_index":806,"sum":158242,"residue":642},{"from_index":806,"to_index":6,"sum":157442,"residue":642}],"minimal_cycle":[92,642,642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[6,406],"circle_positions":800,"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":[7,407,807],"clock_positions":[7,407,807],"native_values":[13,113,738],"rotation_degrees":2.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,113,738],"beta":{"interval_sums":[160062,158362,156712],"interval_residues":[62,762,712],"display_cycle":[62,762,712],"intervals":[{"from_index":7,"to_index":407,"sum":160062,"residue":62},{"from_index":407,"to_index":807,"sum":158362,"residue":762},{"from_index":807,"to_index":7,"sum":156712,"residue":712}],"minimal_cycle":[62,762,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":62,"start_interval_clock_positions":[7,407],"circle_positions":800,"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":[8,408,808],"clock_positions":[8,408,808],"native_values":[21,96,171],"rotation_degrees":2.4,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[21,96,171],"beta":{"interval_sums":[160154,159004,156554],"interval_residues":[154,604,554],"display_cycle":[154,604,554],"intervals":[{"from_index":8,"to_index":408,"sum":160154,"residue":154},{"from_index":408,"to_index":808,"sum":159004,"residue":604},{"from_index":808,"to_index":8,"sum":156554,"residue":554}],"minimal_cycle":[154,604,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":154,"start_interval_clock_positions":[8,408],"circle_positions":800,"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":[9,409,809],"clock_positions":[9,409,809],"native_values":[34,209,109],"rotation_degrees":2.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,209,109],"beta":{"interval_sums":[160216,158966,156466],"interval_residues":[216,566,466],"display_cycle":[216,566,466],"intervals":[{"from_index":9,"to_index":409,"sum":160216,"residue":216},{"from_index":409,"to_index":809,"sum":158966,"residue":566},{"from_index":809,"to_index":9,"sum":156466,"residue":466}],"minimal_cycle":[216,566,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[9,409],"circle_positions":800,"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":[10,410,810],"clock_positions":[10,410,810],"native_values":[55,305,280],"rotation_degrees":3.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,305,280],"beta":{"interval_sums":[160370,158770,156220],"interval_residues":[370,370,220],"display_cycle":[370,370,220],"intervals":[{"from_index":10,"to_index":410,"sum":160370,"residue":370},{"from_index":410,"to_index":810,"sum":158770,"residue":370},{"from_index":810,"to_index":10,"sum":156220,"residue":220}],"minimal_cycle":[370,370,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[10,410],"circle_positions":800,"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":[11,411,811],"clock_positions":[11,411,811],"native_values":[89,514,389],"rotation_degrees":3.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,514,389],"beta":{"interval_sums":[160586,158536,155886],"interval_residues":[586,136,686],"display_cycle":[586,136,686],"intervals":[{"from_index":11,"to_index":411,"sum":160586,"residue":586},{"from_index":411,"to_index":811,"sum":158536,"residue":136},{"from_index":811,"to_index":11,"sum":155886,"residue":686}],"minimal_cycle":[586,136,686],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":586,"start_interval_clock_positions":[11,411],"circle_positions":800,"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":[12,412,812],"clock_positions":[12,412,812],"native_values":[144,19,669],"rotation_degrees":3.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,19,669],"beta":{"interval_sums":[160956,158906,155306],"interval_residues":[156,506,106],"display_cycle":[156,506,106],"intervals":[{"from_index":12,"to_index":412,"sum":160956,"residue":156},{"from_index":412,"to_index":812,"sum":158906,"residue":506},{"from_index":812,"to_index":12,"sum":155306,"residue":106}],"minimal_cycle":[156,506,106],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[12,412],"circle_positions":800,"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":[13,413,813],"clock_positions":[13,413,813],"native_values":[233,533,258],"rotation_degrees":3.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,533,258],"beta":{"interval_sums":[160742,159042,155192],"interval_residues":[742,642,792],"display_cycle":[742,642,792],"intervals":[{"from_index":13,"to_index":413,"sum":160742,"residue":742},{"from_index":413,"to_index":813,"sum":159042,"residue":642},{"from_index":813,"to_index":13,"sum":155192,"residue":792}],"minimal_cycle":[742,642,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":742,"start_interval_clock_positions":[13,413],"circle_positions":800,"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":[14,414,814],"clock_positions":[14,414,814],"native_values":[377,552,127],"rotation_degrees":4.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,552,127],"beta":{"interval_sums":[160898,158748,155298],"interval_residues":[98,348,98],"display_cycle":[98,348,98],"intervals":[{"from_index":14,"to_index":414,"sum":160898,"residue":98},{"from_index":414,"to_index":814,"sum":158748,"residue":348},{"from_index":814,"to_index":14,"sum":155298,"residue":98}],"minimal_cycle":[98,348,98],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[14,414],"circle_positions":800,"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":[15,415,815],"clock_positions":[15,415,815],"native_values":[610,285,385],"rotation_degrees":4.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,285,385],"beta":{"interval_sums":[160840,158590,155290],"interval_residues":[40,190,90],"display_cycle":[40,190,90],"intervals":[{"from_index":15,"to_index":415,"sum":160840,"residue":40},{"from_index":415,"to_index":815,"sum":158590,"residue":190},{"from_index":815,"to_index":15,"sum":155290,"residue":90}],"minimal_cycle":[40,190,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[15,415],"circle_positions":800,"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":[16,416,816],"clock_positions":[16,416,816],"native_values":[187,37,512],"rotation_degrees":4.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,37,512],"beta":{"interval_sums":[160938,158938,155388],"interval_residues":[138,538,188],"display_cycle":[138,538,188],"intervals":[{"from_index":16,"to_index":416,"sum":160938,"residue":138},{"from_index":416,"to_index":816,"sum":158938,"residue":538},{"from_index":816,"to_index":16,"sum":155388,"residue":188}],"minimal_cycle":[138,538,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[16,416],"circle_positions":800,"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":[17,417,817],"clock_positions":[17,417,817],"native_values":[797,322,97],"rotation_degrees":5.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,322,97],"beta":{"interval_sums":[160178,159128,155478],"interval_residues":[178,728,278],"display_cycle":[178,728,278],"intervals":[{"from_index":17,"to_index":417,"sum":160178,"residue":178},{"from_index":417,"to_index":817,"sum":159128,"residue":728},{"from_index":817,"to_index":17,"sum":155478,"residue":278}],"minimal_cycle":[178,728,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[17,417],"circle_positions":800,"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":[18,418,818],"clock_positions":[18,418,818],"native_values":[184,359,609],"rotation_degrees":5.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,359,609],"beta":{"interval_sums":[160316,158866,155666],"interval_residues":[316,466,466],"display_cycle":[316,466,466],"intervals":[{"from_index":18,"to_index":418,"sum":160316,"residue":316},{"from_index":418,"to_index":818,"sum":158866,"residue":466},{"from_index":818,"to_index":18,"sum":155666,"residue":466}],"minimal_cycle":[316,466,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[18,418],"circle_positions":800,"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":[19,419,819],"clock_positions":[19,419,819],"native_values":[181,681,706],"rotation_degrees":5.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,681,706],"beta":{"interval_sums":[160494,158794,155144],"interval_residues":[494,394,744],"display_cycle":[494,394,744],"intervals":[{"from_index":19,"to_index":419,"sum":160494,"residue":494},{"from_index":419,"to_index":819,"sum":158794,"residue":394},{"from_index":819,"to_index":19,"sum":155144,"residue":744}],"minimal_cycle":[494,394,744],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":494,"start_interval_clock_positions":[19,419],"circle_positions":800,"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":[20,420,820],"clock_positions":[20,420,820],"native_values":[365,240,515],"rotation_degrees":6.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,240,515],"beta":{"interval_sums":[160810,159260,154810],"interval_residues":[10,60,410],"display_cycle":[10,60,410],"intervals":[{"from_index":20,"to_index":420,"sum":160810,"residue":10},{"from_index":420,"to_index":820,"sum":159260,"residue":60},{"from_index":820,"to_index":20,"sum":154810,"residue":410}],"minimal_cycle":[10,60,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[20,420],"circle_positions":800,"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":[21,421,821],"clock_positions":[21,421,821],"native_values":[546,121,421],"rotation_degrees":6.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,121,421],"beta":{"interval_sums":[160504,159654,154754],"interval_residues":[504,454,354],"display_cycle":[504,454,354],"intervals":[{"from_index":21,"to_index":421,"sum":160504,"residue":504},{"from_index":421,"to_index":821,"sum":159654,"residue":454},{"from_index":821,"to_index":21,"sum":154754,"residue":354}],"minimal_cycle":[504,454,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[21,421],"circle_positions":800,"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":[22,422,822],"clock_positions":[22,422,822],"native_values":[111,361,136],"rotation_degrees":6.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,361,136],"beta":{"interval_sums":[160514,159714,155164],"interval_residues":[514,514,764],"display_cycle":[514,514,764],"intervals":[{"from_index":22,"to_index":422,"sum":160514,"residue":514},{"from_index":422,"to_index":822,"sum":159714,"residue":514},{"from_index":822,"to_index":22,"sum":155164,"residue":764}],"minimal_cycle":[514,514,764],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":514,"start_interval_clock_positions":[22,422],"circle_positions":800,"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":[23,423,823],"clock_positions":[23,423,823],"native_values":[657,482,557],"rotation_degrees":6.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,482,557],"beta":{"interval_sums":[160218,159368,154718],"interval_residues":[218,168,318],"display_cycle":[218,168,318],"intervals":[{"from_index":23,"to_index":423,"sum":160218,"residue":218},{"from_index":423,"to_index":823,"sum":159368,"residue":168},{"from_index":823,"to_index":23,"sum":154718,"residue":318}],"minimal_cycle":[218,168,318],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[23,423],"circle_positions":800,"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":[24,424,824],"clock_positions":[24,424,824],"native_values":[768,43,693],"rotation_degrees":7.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,43,693],"beta":{"interval_sums":[159932,159882,154682],"interval_residues":[732,682,282],"display_cycle":[732,682,282],"intervals":[{"from_index":24,"to_index":424,"sum":159932,"residue":732},{"from_index":424,"to_index":824,"sum":159882,"residue":682},{"from_index":824,"to_index":24,"sum":154682,"residue":282}],"minimal_cycle":[732,682,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[24,424],"circle_positions":800,"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":[25,425,825],"clock_positions":[25,425,825],"native_values":[625,525,450],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,525,450],"beta":{"interval_sums":[159350,160050,155000],"interval_residues":[150,50,600],"display_cycle":[150,50,600],"intervals":[{"from_index":25,"to_index":425,"sum":159350,"residue":150},{"from_index":425,"to_index":825,"sum":160050,"residue":50},{"from_index":825,"to_index":25,"sum":155000,"residue":600}],"minimal_cycle":[150,50,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[25,425],"circle_positions":800,"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":[26,426,826],"clock_positions":[26,426,826],"native_values":[593,568,343],"rotation_degrees":7.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,568,343],"beta":{"interval_sums":[159282,159932,155282],"interval_residues":[82,732,82],"display_cycle":[82,732,82],"intervals":[{"from_index":26,"to_index":426,"sum":159282,"residue":82},{"from_index":426,"to_index":826,"sum":159932,"residue":732},{"from_index":826,"to_index":26,"sum":155282,"residue":82}],"minimal_cycle":[82,732,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[26,426],"circle_positions":800,"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":[27,427,827],"clock_positions":[27,427,827],"native_values":[418,293,793],"rotation_degrees":8.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,293,793],"beta":{"interval_sums":[159432,159982,155082],"interval_residues":[232,782,682],"display_cycle":[232,782,682],"intervals":[{"from_index":27,"to_index":427,"sum":159432,"residue":232},{"from_index":427,"to_index":827,"sum":159982,"residue":782},{"from_index":827,"to_index":27,"sum":155082,"residue":682}],"minimal_cycle":[232,782,682],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[27,427],"circle_positions":800,"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":[28,428,828],"clock_positions":[28,428,828],"native_values":[211,61,336],"rotation_degrees":8.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,61,336],"beta":{"interval_sums":[159514,160714,155164],"interval_residues":[314,714,764],"display_cycle":[314,714,764],"intervals":[{"from_index":28,"to_index":428,"sum":159514,"residue":314},{"from_index":428,"to_index":828,"sum":160714,"residue":714},{"from_index":828,"to_index":28,"sum":155164,"residue":764}],"minimal_cycle":[314,714,764],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[28,428],"circle_positions":800,"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":[29,429,829],"clock_positions":[29,429,829],"native_values":[629,354,329],"rotation_degrees":8.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,354,329],"beta":{"interval_sums":[158946,160696,155046],"interval_residues":[546,696,646],"display_cycle":[546,696,646],"intervals":[{"from_index":29,"to_index":429,"sum":158946,"residue":546},{"from_index":429,"to_index":829,"sum":160696,"residue":696},{"from_index":829,"to_index":29,"sum":155046,"residue":646}],"minimal_cycle":[546,696,646],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[29,429],"circle_positions":800,"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":[30,430,830],"clock_positions":[30,430,830],"native_values":[40,415,665],"rotation_degrees":9.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,415,665],"beta":{"interval_sums":[159260,160610,155010],"interval_residues":[60,610,610],"display_cycle":[60,610,610],"intervals":[{"from_index":30,"to_index":430,"sum":159260,"residue":60},{"from_index":430,"to_index":830,"sum":160610,"residue":610},{"from_index":830,"to_index":30,"sum":155010,"residue":610}],"minimal_cycle":[60,610,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[30,430],"circle_positions":800,"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":[31,431,831],"clock_positions":[31,431,831],"native_values":[669,769,194],"rotation_degrees":9.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,769,194],"beta":{"interval_sums":[159006,160506,154856],"interval_residues":[606,506,456],"display_cycle":[606,506,456],"intervals":[{"from_index":31,"to_index":431,"sum":159006,"residue":606},{"from_index":431,"to_index":831,"sum":160506,"residue":506},{"from_index":831,"to_index":31,"sum":154856,"residue":456}],"minimal_cycle":[606,506,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":606,"start_interval_clock_positions":[31,431],"circle_positions":800,"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":[32,432,832],"clock_positions":[32,432,832],"native_values":[709,384,59],"rotation_degrees":9.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,384,59],"beta":{"interval_sums":[159066,160316,155466],"interval_residues":[666,316,266],"display_cycle":[666,316,266],"intervals":[{"from_index":32,"to_index":432,"sum":159066,"residue":666},{"from_index":432,"to_index":832,"sum":160316,"residue":316},{"from_index":832,"to_index":32,"sum":155466,"residue":266}],"minimal_cycle":[666,316,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[32,432],"circle_positions":800,"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":[33,433,833],"clock_positions":[33,433,833],"native_values":[578,353,253],"rotation_degrees":9.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,353,253],"beta":{"interval_sums":[158872,160022,155922],"interval_residues":[472,22,722],"display_cycle":[472,22,722],"intervals":[{"from_index":33,"to_index":433,"sum":158872,"residue":472},{"from_index":433,"to_index":833,"sum":160022,"residue":22},{"from_index":833,"to_index":33,"sum":155922,"residue":722}],"minimal_cycle":[472,22,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[33,433],"circle_positions":800,"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":[34,434,834],"clock_positions":[34,434,834],"native_values":[487,737,312],"rotation_degrees":10.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,737,312],"beta":{"interval_sums":[158738,159538,156188],"interval_residues":[338,338,188],"display_cycle":[338,338,188],"intervals":[{"from_index":34,"to_index":434,"sum":158738,"residue":338},{"from_index":434,"to_index":834,"sum":159538,"residue":338},{"from_index":834,"to_index":34,"sum":156188,"residue":188}],"minimal_cycle":[338,338,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[34,434],"circle_positions":800,"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":[35,435,835],"clock_positions":[35,435,835],"native_values":[265,290,565],"rotation_degrees":10.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,290,565],"beta":{"interval_sums":[159210,159560,156110],"interval_residues":[10,360,110],"display_cycle":[10,360,110],"intervals":[{"from_index":35,"to_index":435,"sum":159210,"residue":10},{"from_index":435,"to_index":835,"sum":159560,"residue":360},{"from_index":835,"to_index":35,"sum":156110,"residue":110}],"minimal_cycle":[10,360,110],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":10,"start_interval_clock_positions":[35,435],"circle_positions":800,"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":[36,436,836],"clock_positions":[36,436,836],"native_values":[752,227,77],"rotation_degrees":10.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[752,227,77],"beta":{"interval_sums":[158748,159898,156298],"interval_residues":[348,698,298],"display_cycle":[348,698,298],"intervals":[{"from_index":36,"to_index":436,"sum":158748,"residue":348},{"from_index":436,"to_index":836,"sum":159898,"residue":698},{"from_index":836,"to_index":36,"sum":156298,"residue":298}],"minimal_cycle":[348,698,298],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[36,436],"circle_positions":800,"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":[37,437,837],"clock_positions":[37,437,837],"native_values":[217,517,642],"rotation_degrees":11.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,517,642],"beta":{"interval_sums":[158758,159458,156408],"interval_residues":[358,258,408],"display_cycle":[358,258,408],"intervals":[{"from_index":37,"to_index":437,"sum":158758,"residue":358},{"from_index":437,"to_index":837,"sum":159458,"residue":258},{"from_index":837,"to_index":37,"sum":156408,"residue":408}],"minimal_cycle":[358,258,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[37,437],"circle_positions":800,"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":[38,438,838],"clock_positions":[38,438,838],"native_values":[169,744,719],"rotation_degrees":11.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,744,719],"beta":{"interval_sums":[159106,159356,155906],"interval_residues":[706,156,706],"display_cycle":[706,156,706],"intervals":[{"from_index":38,"to_index":438,"sum":159106,"residue":706},{"from_index":438,"to_index":838,"sum":159356,"residue":156},{"from_index":838,"to_index":38,"sum":155906,"residue":706}],"minimal_cycle":[706,156,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[38,438],"circle_positions":800,"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":[39,439,839],"clock_positions":[39,439,839],"native_values":[386,461,561],"rotation_degrees":11.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,461,561],"beta":{"interval_sums":[159464,159614,155514],"interval_residues":[264,414,314],"display_cycle":[264,414,314],"intervals":[{"from_index":39,"to_index":439,"sum":159464,"residue":264},{"from_index":439,"to_index":839,"sum":159614,"residue":414},{"from_index":839,"to_index":39,"sum":155514,"residue":314}],"minimal_cycle":[264,414,314],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[39,439],"circle_positions":800,"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":[40,440,840],"clock_positions":[40,440,840],"native_values":[555,405,480],"rotation_degrees":12.0,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[555,405,480],"beta":{"interval_sums":[159370,159770,155420],"interval_residues":[170,570,220],"display_cycle":[170,570,220],"intervals":[{"from_index":40,"to_index":440,"sum":159370,"residue":170},{"from_index":440,"to_index":840,"sum":159770,"residue":570},{"from_index":840,"to_index":40,"sum":155420,"residue":220}],"minimal_cycle":[170,570,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[40,440],"circle_positions":800,"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":[41,441,841],"clock_positions":[41,441,841],"native_values":[141,66,241],"rotation_degrees":12.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,66,241],"beta":{"interval_sums":[159634,160184,155734],"interval_residues":[434,184,534],"display_cycle":[434,184,534],"intervals":[{"from_index":41,"to_index":441,"sum":159634,"residue":434},{"from_index":441,"to_index":841,"sum":160184,"residue":184},{"from_index":841,"to_index":41,"sum":155734,"residue":534}],"minimal_cycle":[434,184,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[41,441],"circle_positions":800,"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":[42,442,842],"clock_positions":[42,442,842],"native_values":[696,471,721],"rotation_degrees":12.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[696,471,721],"beta":{"interval_sums":[159004,159954,155154],"interval_residues":[604,754,754],"display_cycle":[604,754,754],"intervals":[{"from_index":42,"to_index":442,"sum":159004,"residue":604},{"from_index":442,"to_index":842,"sum":159954,"residue":754},{"from_index":842,"to_index":42,"sum":155154,"residue":754}],"minimal_cycle":[604,754,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[42,442],"circle_positions":800,"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":[43,443,843],"clock_positions":[43,443,843],"native_values":[37,537,162],"rotation_degrees":12.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,537,162],"beta":{"interval_sums":[159438,160138,155688],"interval_residues":[238,138,488],"display_cycle":[238,138,488],"intervals":[{"from_index":43,"to_index":443,"sum":159438,"residue":238},{"from_index":443,"to_index":843,"sum":160138,"residue":138},{"from_index":843,"to_index":43,"sum":155688,"residue":488}],"minimal_cycle":[238,138,488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":238,"start_interval_clock_positions":[43,443],"circle_positions":800,"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":[44,444,844],"clock_positions":[44,444,844],"native_values":[733,208,83],"rotation_degrees":13.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,208,83],"beta":{"interval_sums":[159242,160092,155642],"interval_residues":[42,92,442],"display_cycle":[42,92,442],"intervals":[{"from_index":44,"to_index":444,"sum":159242,"residue":42},{"from_index":444,"to_index":844,"sum":160092,"residue":92},{"from_index":844,"to_index":44,"sum":155642,"residue":442}],"minimal_cycle":[42,92,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":42,"start_interval_clock_positions":[44,444],"circle_positions":800,"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":[45,445,845],"clock_positions":[45,445,845],"native_values":[770,745,245],"rotation_degrees":13.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[770,745,245],"beta":{"interval_sums":[158680,159430,156130],"interval_residues":[280,230,130],"display_cycle":[280,230,130],"intervals":[{"from_index":45,"to_index":445,"sum":158680,"residue":280},{"from_index":445,"to_index":845,"sum":159430,"residue":230},{"from_index":845,"to_index":45,"sum":156130,"residue":130}],"minimal_cycle":[280,230,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[45,445],"circle_positions":800,"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":[46,446,846],"clock_positions":[46,446,846],"native_values":[703,153,328],"rotation_degrees":13.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,153,328],"beta":{"interval_sums":[158722,159522,156572],"interval_residues":[322,322,572],"display_cycle":[322,322,572],"intervals":[{"from_index":46,"to_index":446,"sum":158722,"residue":322},{"from_index":446,"to_index":846,"sum":159522,"residue":322},{"from_index":846,"to_index":46,"sum":156572,"residue":572}],"minimal_cycle":[322,322,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":322,"start_interval_clock_positions":[46,446],"circle_positions":800,"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":[47,447,847],"clock_positions":[47,447,847],"native_values":[673,98,573],"rotation_degrees":14.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,98,573],"beta":{"interval_sums":[158202,159752,156702],"interval_residues":[602,552,702],"display_cycle":[602,552,702],"intervals":[{"from_index":47,"to_index":447,"sum":158202,"residue":602},{"from_index":447,"to_index":847,"sum":159752,"residue":552},{"from_index":847,"to_index":47,"sum":156702,"residue":702}],"minimal_cycle":[602,552,702],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[47,447],"circle_positions":800,"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":[48,448,848],"clock_positions":[48,448,848],"native_values":[576,251,101],"rotation_degrees":14.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[576,251,101],"beta":{"interval_sums":[157724,160074,157274],"interval_residues":[124,74,474],"display_cycle":[124,74,474],"intervals":[{"from_index":48,"to_index":448,"sum":157724,"residue":124},{"from_index":448,"to_index":848,"sum":160074,"residue":74},{"from_index":848,"to_index":48,"sum":157274,"residue":474}],"minimal_cycle":[124,74,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[48,448],"circle_positions":800,"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":[49,449,849],"clock_positions":[49,449,849],"native_values":[449,349,674],"rotation_degrees":14.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,349,674],"beta":{"interval_sums":[157526,159826,157176],"interval_residues":[726,626,376],"display_cycle":[726,626,376],"intervals":[{"from_index":49,"to_index":449,"sum":157526,"residue":726},{"from_index":449,"to_index":849,"sum":159826,"residue":626},{"from_index":849,"to_index":49,"sum":157176,"residue":376}],"minimal_cycle":[726,626,376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[49,449],"circle_positions":800,"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":[50,450,850],"clock_positions":[50,450,850],"native_values":[225,600,775],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,600,775],"beta":{"interval_sums":[157650,159900,156850],"interval_residues":[50,700,50],"display_cycle":[50,700,50],"intervals":[{"from_index":50,"to_index":450,"sum":157650,"residue":50},{"from_index":450,"to_index":850,"sum":159900,"residue":700},{"from_index":850,"to_index":50,"sum":156850,"residue":50}],"minimal_cycle":[50,700,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[50,450],"circle_positions":800,"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":[51,451,851],"clock_positions":[51,451,851],"native_values":[674,149,649],"rotation_degrees":15.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[674,149,649],"beta":{"interval_sums":[157576,160526,156426],"interval_residues":[776,526,426],"display_cycle":[776,526,426],"intervals":[{"from_index":51,"to_index":451,"sum":157576,"residue":776},{"from_index":451,"to_index":851,"sum":160526,"residue":526},{"from_index":851,"to_index":51,"sum":156426,"residue":426}],"minimal_cycle":[776,526,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[51,451],"circle_positions":800,"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":[52,452,852],"clock_positions":[52,452,852],"native_values":[99,749,624],"rotation_degrees":15.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,749,624],"beta":{"interval_sums":[157626,160426,156476],"interval_residues":[26,426,476],"display_cycle":[26,426,476],"intervals":[{"from_index":52,"to_index":452,"sum":157626,"residue":26},{"from_index":452,"to_index":852,"sum":160426,"residue":426},{"from_index":852,"to_index":52,"sum":156476,"residue":476}],"minimal_cycle":[26,426,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[52,452],"circle_positions":800,"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":[53,453,853],"clock_positions":[53,453,853],"native_values":[773,98,473],"rotation_degrees":15.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[773,98,473],"beta":{"interval_sums":[157602,160952,156102],"interval_residues":[2,152,102],"display_cycle":[2,152,102],"intervals":[{"from_index":53,"to_index":453,"sum":157602,"residue":2},{"from_index":453,"to_index":853,"sum":160952,"residue":152},{"from_index":853,"to_index":53,"sum":156102,"residue":102}],"minimal_cycle":[2,152,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[53,453],"circle_positions":800,"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":[54,454,854],"clock_positions":[54,454,854],"native_values":[72,47,297],"rotation_degrees":16.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,47,297],"beta":{"interval_sums":[157628,161378,156578],"interval_residues":[28,578,578],"display_cycle":[28,578,578],"intervals":[{"from_index":54,"to_index":454,"sum":157628,"residue":28},{"from_index":454,"to_index":854,"sum":161378,"residue":578},{"from_index":854,"to_index":54,"sum":156578,"residue":578}],"minimal_cycle":[28,578,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[54,454],"circle_positions":800,"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":[55,455,855],"clock_positions":[55,455,855],"native_values":[45,145,770],"rotation_degrees":16.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,145,770],"beta":{"interval_sums":[157630,161530,155880],"interval_residues":[30,730,680],"display_cycle":[30,730,680],"intervals":[{"from_index":55,"to_index":455,"sum":157630,"residue":30},{"from_index":455,"to_index":855,"sum":161530,"residue":730},{"from_index":855,"to_index":55,"sum":155880,"residue":680}],"minimal_cycle":[30,730,680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":30,"start_interval_clock_positions":[55,455],"circle_positions":800,"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":[56,456,856],"clock_positions":[56,456,856],"native_values":[117,192,267],"rotation_degrees":16.8,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[117,192,267],"beta":{"interval_sums":[157658,162108,155658],"interval_residues":[58,508,458],"display_cycle":[58,508,458],"intervals":[{"from_index":56,"to_index":456,"sum":157658,"residue":58},{"from_index":456,"to_index":856,"sum":162108,"residue":508},{"from_index":856,"to_index":56,"sum":155658,"residue":458}],"minimal_cycle":[58,508,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[56,456],"circle_positions":800,"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":[57,457,857],"clock_positions":[57,457,857],"native_values":[162,337,237],"rotation_degrees":17.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,337,237],"beta":{"interval_sums":[157688,162038,155538],"interval_residues":[88,438,338],"display_cycle":[88,438,338],"intervals":[{"from_index":57,"to_index":457,"sum":157688,"residue":88},{"from_index":457,"to_index":857,"sum":162038,"residue":438},{"from_index":857,"to_index":57,"sum":155538,"residue":338}],"minimal_cycle":[88,438,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[57,457],"circle_positions":800,"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":[58,458,858],"clock_positions":[58,458,858],"native_values":[279,529,504],"rotation_degrees":17.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,529,504],"beta":{"interval_sums":[157746,161746,155196],"interval_residues":[146,146,796],"display_cycle":[146,146,796],"intervals":[{"from_index":58,"to_index":458,"sum":157746,"residue":146},{"from_index":458,"to_index":858,"sum":161746,"residue":146},{"from_index":858,"to_index":58,"sum":155196,"residue":796}],"minimal_cycle":[146,146,796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[58,458],"circle_positions":800,"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":[59,459,859],"clock_positions":[59,459,859],"native_values":[441,66,741],"rotation_degrees":17.7,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[441,66,741],"beta":{"interval_sums":[157834,162184,154734],"interval_residues":[234,584,334],"display_cycle":[234,584,334],"intervals":[{"from_index":59,"to_index":459,"sum":157834,"residue":234},{"from_index":459,"to_index":859,"sum":162184,"residue":584},{"from_index":859,"to_index":59,"sum":154734,"residue":334}],"minimal_cycle":[234,584,334],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[59,459],"circle_positions":800,"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":[60,460,860],"clock_positions":[60,460,860],"native_values":[720,595,445],"rotation_degrees":18.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,595,445],"beta":{"interval_sums":[157180,162330,154730],"interval_residues":[380,730,330],"display_cycle":[380,730,330],"intervals":[{"from_index":60,"to_index":460,"sum":157180,"residue":380},{"from_index":460,"to_index":860,"sum":162330,"residue":730},{"from_index":860,"to_index":60,"sum":154730,"residue":330}],"minimal_cycle":[380,730,330],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[60,460],"circle_positions":800,"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":[61,461,861],"clock_positions":[61,461,861],"native_values":[361,661,386],"rotation_degrees":18.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,661,386],"beta":{"interval_sums":[157414,162114,155064],"interval_residues":[614,514,664],"display_cycle":[614,514,664],"intervals":[{"from_index":61,"to_index":461,"sum":157414,"residue":614},{"from_index":461,"to_index":861,"sum":162114,"residue":514},{"from_index":861,"to_index":61,"sum":155064,"residue":664}],"minimal_cycle":[614,514,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[61,461],"circle_positions":800,"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":[62,462,862],"clock_positions":[62,462,862],"native_values":[281,456,31],"rotation_degrees":18.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,456,31],"beta":{"interval_sums":[157794,162044,155394],"interval_residues":[194,444,194],"display_cycle":[194,444,194],"intervals":[{"from_index":62,"to_index":462,"sum":157794,"residue":194},{"from_index":462,"to_index":862,"sum":162044,"residue":444},{"from_index":862,"to_index":62,"sum":155394,"residue":194}],"minimal_cycle":[194,444,194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[62,462],"circle_positions":800,"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":[63,463,863],"clock_positions":[63,463,863],"native_values":[642,317,417],"rotation_degrees":18.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,317,417],"beta":{"interval_sums":[157608,161758,155258],"interval_residues":[8,158,58],"display_cycle":[8,158,58],"intervals":[{"from_index":63,"to_index":463,"sum":157608,"residue":8},{"from_index":463,"to_index":863,"sum":161758,"residue":158},{"from_index":863,"to_index":63,"sum":155258,"residue":58}],"minimal_cycle":[8,158,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[63,463],"circle_positions":800,"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":[64,464,864],"clock_positions":[64,464,864],"native_values":[123,773,448],"rotation_degrees":19.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,773,448],"beta":{"interval_sums":[157802,161402,155452],"interval_residues":[202,602,252],"display_cycle":[202,602,252],"intervals":[{"from_index":64,"to_index":464,"sum":157802,"residue":202},{"from_index":464,"to_index":864,"sum":161402,"residue":602},{"from_index":864,"to_index":64,"sum":155452,"residue":252}],"minimal_cycle":[202,602,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[64,464],"circle_positions":800,"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":[65,465,865],"clock_positions":[65,465,865],"native_values":[765,290,65],"rotation_degrees":19.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,290,65],"beta":{"interval_sums":[157810,161560,155510],"interval_residues":[210,760,310],"display_cycle":[210,760,310],"intervals":[{"from_index":65,"to_index":465,"sum":157810,"residue":210},{"from_index":465,"to_index":865,"sum":161560,"residue":760},{"from_index":865,"to_index":65,"sum":155510,"residue":310}],"minimal_cycle":[210,760,310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[65,465],"circle_positions":800,"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":[66,466,866],"clock_positions":[66,466,866],"native_values":[88,263,513],"rotation_degrees":19.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,263,513],"beta":{"interval_sums":[158012,161362,155762],"interval_residues":[412,562,562],"display_cycle":[412,562,562],"intervals":[{"from_index":66,"to_index":466,"sum":158012,"residue":412},{"from_index":466,"to_index":866,"sum":161362,"residue":562},{"from_index":866,"to_index":66,"sum":155762,"residue":562}],"minimal_cycle":[412,562,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[66,466],"circle_positions":800,"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":[67,467,867],"clock_positions":[67,467,867],"native_values":[53,553,578],"rotation_degrees":20.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,553,578],"beta":{"interval_sums":[158222,161322,155272],"interval_residues":[622,522,72],"display_cycle":[622,522,72],"intervals":[{"from_index":67,"to_index":467,"sum":158222,"residue":622},{"from_index":467,"to_index":867,"sum":161322,"residue":522},{"from_index":867,"to_index":67,"sum":155272,"residue":72}],"minimal_cycle":[622,522,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":622,"start_interval_clock_positions":[67,467],"circle_positions":800,"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":[68,468,868],"clock_positions":[68,468,868],"native_values":[141,16,291],"rotation_degrees":20.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,16,291],"beta":{"interval_sums":[158634,161884,155034],"interval_residues":[234,284,634],"display_cycle":[234,284,634],"intervals":[{"from_index":68,"to_index":468,"sum":158634,"residue":234},{"from_index":468,"to_index":868,"sum":161884,"residue":284},{"from_index":868,"to_index":68,"sum":155034,"residue":634}],"minimal_cycle":[234,284,634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":234,"start_interval_clock_positions":[68,468],"circle_positions":800,"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":[69,469,869],"clock_positions":[69,469,869],"native_values":[194,569,69],"rotation_degrees":20.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,569,69],"beta":{"interval_sums":[158456,161606,155106],"interval_residues":[56,6,706],"display_cycle":[56,6,706],"intervals":[{"from_index":69,"to_index":469,"sum":158456,"residue":56},{"from_index":469,"to_index":869,"sum":161606,"residue":6},{"from_index":869,"to_index":69,"sum":155106,"residue":706}],"minimal_cycle":[56,6,706],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[69,469],"circle_positions":800,"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":[70,470,870],"clock_positions":[70,470,870],"native_values":[335,585,360],"rotation_degrees":21.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,585,360],"beta":{"interval_sums":[158690,161090,154940],"interval_residues":[290,290,540],"display_cycle":[290,290,540],"intervals":[{"from_index":70,"to_index":470,"sum":158690,"residue":290},{"from_index":470,"to_index":870,"sum":161090,"residue":290},{"from_index":870,"to_index":70,"sum":154940,"residue":540}],"minimal_cycle":[290,290,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":290,"start_interval_clock_positions":[70,470],"circle_positions":800,"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":[71,471,871],"clock_positions":[71,471,871],"native_values":[529,354,429],"rotation_degrees":21.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,354,429],"beta":{"interval_sums":[158746,161096,154846],"interval_residues":[346,296,446],"display_cycle":[346,296,446],"intervals":[{"from_index":71,"to_index":471,"sum":158746,"residue":346},{"from_index":471,"to_index":871,"sum":161096,"residue":296},{"from_index":871,"to_index":71,"sum":154846,"residue":446}],"minimal_cycle":[346,296,446],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[71,471],"circle_positions":800,"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":[72,472,872],"clock_positions":[72,472,872],"native_values":[64,139,789],"rotation_degrees":21.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,139,789],"beta":{"interval_sums":[159036,161386,154586],"interval_residues":[636,586,186],"display_cycle":[636,586,186],"intervals":[{"from_index":72,"to_index":472,"sum":159036,"residue":636},{"from_index":472,"to_index":872,"sum":161386,"residue":586},{"from_index":872,"to_index":72,"sum":154586,"residue":186}],"minimal_cycle":[636,586,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[72,472],"circle_positions":800,"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":[73,473,873],"clock_positions":[73,473,873],"native_values":[593,493,418],"rotation_degrees":21.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,493,418],"beta":{"interval_sums":[158582,161682,154232],"interval_residues":[182,82,632],"display_cycle":[182,82,632],"intervals":[{"from_index":73,"to_index":473,"sum":158582,"residue":182},{"from_index":473,"to_index":873,"sum":161682,"residue":82},{"from_index":873,"to_index":73,"sum":154232,"residue":632}],"minimal_cycle":[182,82,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[73,473],"circle_positions":800,"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":[74,474,874],"clock_positions":[74,474,874],"native_values":[657,632,407],"rotation_degrees":22.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,632,407],"beta":{"interval_sums":[158418,161468,154418],"interval_residues":[18,668,18],"display_cycle":[18,668,18],"intervals":[{"from_index":74,"to_index":474,"sum":158418,"residue":18},{"from_index":474,"to_index":874,"sum":161468,"residue":668},{"from_index":874,"to_index":74,"sum":154418,"residue":18}],"minimal_cycle":[18,668,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[74,474],"circle_positions":800,"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":[75,475,875],"clock_positions":[75,475,875],"native_values":[450,325,25],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,325,25],"beta":{"interval_sums":[158600,161550,155050],"interval_residues":[200,750,650],"display_cycle":[200,750,650],"intervals":[{"from_index":75,"to_index":475,"sum":158600,"residue":200},{"from_index":475,"to_index":875,"sum":161550,"residue":750},{"from_index":875,"to_index":75,"sum":155050,"residue":650}],"minimal_cycle":[200,750,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[75,475],"circle_positions":800,"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":[76,476,876],"clock_positions":[76,476,876],"native_values":[307,157,432],"rotation_degrees":22.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,157,432],"beta":{"interval_sums":[158618,161418,155068],"interval_residues":[218,618,668],"display_cycle":[218,618,668],"intervals":[{"from_index":76,"to_index":476,"sum":158618,"residue":218},{"from_index":476,"to_index":876,"sum":161418,"residue":618},{"from_index":876,"to_index":76,"sum":155068,"residue":668}],"minimal_cycle":[218,618,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[76,476],"circle_positions":800,"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":[77,477,877],"clock_positions":[77,477,877],"native_values":[757,482,457],"rotation_degrees":23.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[757,482,457],"beta":{"interval_sums":[158018,161368,154918],"interval_residues":[418,568,518],"display_cycle":[418,568,518],"intervals":[{"from_index":77,"to_index":477,"sum":158018,"residue":418},{"from_index":477,"to_index":877,"sum":161368,"residue":568},{"from_index":877,"to_index":77,"sum":154918,"residue":518}],"minimal_cycle":[418,568,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[77,477],"circle_positions":800,"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":[78,478,878],"clock_positions":[78,478,878],"native_values":[264,639,89],"rotation_degrees":23.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[264,639,89],"beta":{"interval_sums":[158236,161186,155586],"interval_residues":[636,386,386],"display_cycle":[636,386,386],"intervals":[{"from_index":78,"to_index":478,"sum":158236,"residue":636},{"from_index":478,"to_index":878,"sum":161186,"residue":386},{"from_index":878,"to_index":78,"sum":155586,"residue":386}],"minimal_cycle":[636,386,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[78,478],"circle_positions":800,"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":[79,479,879],"clock_positions":[79,479,879],"native_values":[221,321,546],"rotation_degrees":23.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,321,546],"beta":{"interval_sums":[158654,160954,155304],"interval_residues":[254,154,104],"display_cycle":[254,154,104],"intervals":[{"from_index":79,"to_index":479,"sum":158654,"residue":254},{"from_index":479,"to_index":879,"sum":160954,"residue":154},{"from_index":879,"to_index":79,"sum":155304,"residue":104}],"minimal_cycle":[254,154,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":254,"start_interval_clock_positions":[79,479],"circle_positions":800,"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":[80,480,880],"clock_positions":[80,480,880],"native_values":[485,160,635],"rotation_degrees":24.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,160,635],"beta":{"interval_sums":[158490,161340,154890],"interval_residues":[90,540,490],"display_cycle":[90,540,490],"intervals":[{"from_index":80,"to_index":480,"sum":158490,"residue":90},{"from_index":480,"to_index":880,"sum":161340,"residue":540},{"from_index":880,"to_index":80,"sum":154890,"residue":490}],"minimal_cycle":[90,540,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[80,480],"circle_positions":800,"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":[81,481,881],"clock_positions":[81,481,881],"native_values":[706,481,381],"rotation_degrees":24.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,481,381],"beta":{"interval_sums":[157944,161494,154994],"interval_residues":[344,694,594],"display_cycle":[344,694,594],"intervals":[{"from_index":81,"to_index":481,"sum":157944,"residue":344},{"from_index":481,"to_index":881,"sum":161494,"residue":694},{"from_index":881,"to_index":81,"sum":154994,"residue":594}],"minimal_cycle":[344,694,594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[81,481],"circle_positions":800,"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":[82,482,882],"clock_positions":[82,482,882],"native_values":[391,641,216],"rotation_degrees":24.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,641,216],"beta":{"interval_sums":[158034,161234,155484],"interval_residues":[434,434,284],"display_cycle":[434,434,284],"intervals":[{"from_index":82,"to_index":482,"sum":158034,"residue":434},{"from_index":482,"to_index":882,"sum":161234,"residue":434},{"from_index":882,"to_index":82,"sum":155484,"residue":284}],"minimal_cycle":[434,434,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":434,"start_interval_clock_positions":[82,482],"circle_positions":800,"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":[83,483,883],"clock_positions":[83,483,883],"native_values":[297,322,597],"rotation_degrees":24.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,322,597],"beta":{"interval_sums":[158378,161128,155278],"interval_residues":[778,328,78],"display_cycle":[778,328,78],"intervals":[{"from_index":83,"to_index":483,"sum":158378,"residue":778},{"from_index":483,"to_index":883,"sum":161128,"residue":328},{"from_index":883,"to_index":83,"sum":155278,"residue":78}],"minimal_cycle":[778,328,78],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":778,"start_interval_clock_positions":[83,483],"circle_positions":800,"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":[84,484,884],"clock_positions":[84,484,884],"native_values":[688,163,13],"rotation_degrees":25.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,163,13],"beta":{"interval_sums":[158012,161562,155562],"interval_residues":[412,762,362],"display_cycle":[412,762,362],"intervals":[{"from_index":84,"to_index":484,"sum":158012,"residue":412},{"from_index":484,"to_index":884,"sum":161562,"residue":762},{"from_index":884,"to_index":84,"sum":155562,"residue":362}],"minimal_cycle":[412,762,362],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[84,484],"circle_positions":800,"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":[85,485,885],"clock_positions":[85,485,885],"native_values":[185,485,610],"rotation_degrees":25.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,485,610],"beta":{"interval_sums":[157990,161090,155640],"interval_residues":[390,290,440],"display_cycle":[390,290,440],"intervals":[{"from_index":85,"to_index":485,"sum":157990,"residue":390},{"from_index":485,"to_index":885,"sum":161090,"residue":290},{"from_index":885,"to_index":85,"sum":155640,"residue":440}],"minimal_cycle":[390,290,440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[85,485],"circle_positions":800,"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":[86,486,886],"clock_positions":[86,486,886],"native_values":[73,648,623],"rotation_degrees":25.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,648,623],"beta":{"interval_sums":[158402,161052,155202],"interval_residues":[2,252,2],"display_cycle":[2,252,2],"intervals":[{"from_index":86,"to_index":486,"sum":158402,"residue":2},{"from_index":486,"to_index":886,"sum":161052,"residue":252},{"from_index":886,"to_index":86,"sum":155202,"residue":2}],"minimal_cycle":[2,252,2],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[86,486],"circle_positions":800,"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":[87,487,887],"clock_positions":[87,487,887],"native_values":[258,333,433],"rotation_degrees":26.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,333,433],"beta":{"interval_sums":[158792,161342,154842],"interval_residues":[392,542,442],"display_cycle":[392,542,442],"intervals":[{"from_index":87,"to_index":487,"sum":158792,"residue":392},{"from_index":487,"to_index":887,"sum":161342,"residue":542},{"from_index":887,"to_index":87,"sum":154842,"residue":442}],"minimal_cycle":[392,542,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[87,487],"circle_positions":800,"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":[88,488,888],"clock_positions":[88,488,888],"native_values":[331,181,256],"rotation_degrees":26.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,181,256],"beta":{"interval_sums":[158794,161594,154844],"interval_residues":[394,794,444],"display_cycle":[394,794,444],"intervals":[{"from_index":88,"to_index":488,"sum":158794,"residue":394},{"from_index":488,"to_index":888,"sum":161594,"residue":794},{"from_index":888,"to_index":88,"sum":154844,"residue":444}],"minimal_cycle":[394,794,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[88,488],"circle_positions":800,"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":[89,489,889],"clock_positions":[89,489,889],"native_values":[589,514,689],"rotation_degrees":26.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,514,689],"beta":{"interval_sums":[158386,161336,154486],"interval_residues":[786,536,86],"display_cycle":[786,536,86],"intervals":[{"from_index":89,"to_index":489,"sum":158386,"residue":786},{"from_index":489,"to_index":889,"sum":161336,"residue":536},{"from_index":889,"to_index":89,"sum":154486,"residue":86}],"minimal_cycle":[786,536,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[89,489],"circle_positions":800,"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":[90,490,890],"clock_positions":[90,490,890],"native_values":[120,695,145],"rotation_degrees":27.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,695,145],"beta":{"interval_sums":[158780,161330,154930],"interval_residues":[380,530,530],"display_cycle":[380,530,530],"intervals":[{"from_index":90,"to_index":490,"sum":158780,"residue":380},{"from_index":490,"to_index":890,"sum":161330,"residue":530},{"from_index":890,"to_index":90,"sum":154930,"residue":530}],"minimal_cycle":[380,530,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[90,490],"circle_positions":800,"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":[91,491,891],"clock_positions":[91,491,891],"native_values":[709,409,34],"rotation_degrees":27.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,409,34],"beta":{"interval_sums":[158766,161066,155016],"interval_residues":[366,266,616],"display_cycle":[366,266,616],"intervals":[{"from_index":91,"to_index":491,"sum":158766,"residue":366},{"from_index":491,"to_index":891,"sum":161066,"residue":266},{"from_index":891,"to_index":91,"sum":155016,"residue":616}],"minimal_cycle":[366,266,616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":366,"start_interval_clock_positions":[91,491],"circle_positions":800,"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":[92,492,892],"clock_positions":[92,492,892],"native_values":[29,304,179],"rotation_degrees":27.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,304,179],"beta":{"interval_sums":[159146,160796,155546],"interval_residues":[746,796,346],"display_cycle":[746,796,346],"intervals":[{"from_index":92,"to_index":492,"sum":159146,"residue":746},{"from_index":492,"to_index":892,"sum":160796,"residue":796},{"from_index":892,"to_index":92,"sum":155546,"residue":346}],"minimal_cycle":[746,796,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[92,492],"circle_positions":800,"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":[93,493,893],"clock_positions":[93,493,893],"native_values":[738,713,213],"rotation_degrees":27.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,713,213],"beta":{"interval_sums":[158712,160262,155362],"interval_residues":[312,262,162],"display_cycle":[312,262,162],"intervals":[{"from_index":93,"to_index":493,"sum":158712,"residue":312},{"from_index":493,"to_index":893,"sum":160262,"residue":262},{"from_index":893,"to_index":93,"sum":155362,"residue":162}],"minimal_cycle":[312,262,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[93,493],"circle_positions":800,"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":[94,494,894],"clock_positions":[94,494,894],"native_values":[767,217,392],"rotation_degrees":28.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,217,392],"beta":{"interval_sums":[158658,160258,155708],"interval_residues":[258,258,508],"display_cycle":[258,258,508],"intervals":[{"from_index":94,"to_index":494,"sum":158658,"residue":258},{"from_index":494,"to_index":894,"sum":160258,"residue":258},{"from_index":894,"to_index":94,"sum":155708,"residue":508}],"minimal_cycle":[258,258,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":258,"start_interval_clock_positions":[94,494],"circle_positions":800,"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":[95,495,895],"clock_positions":[95,495,895],"native_values":[705,130,605],"rotation_degrees":28.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,130,605],"beta":{"interval_sums":[158170,160520,155870],"interval_residues":[570,520,670],"display_cycle":[570,520,670],"intervals":[{"from_index":95,"to_index":495,"sum":158170,"residue":570},{"from_index":495,"to_index":895,"sum":160520,"residue":520},{"from_index":895,"to_index":95,"sum":155870,"residue":670}],"minimal_cycle":[570,520,670],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[95,495],"circle_positions":800,"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":[96,496,896],"clock_positions":[96,496,896],"native_values":[672,347,197],"rotation_degrees":28.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,347,197],"beta":{"interval_sums":[157628,160778,156378],"interval_residues":[28,778,378],"display_cycle":[28,778,378],"intervals":[{"from_index":96,"to_index":496,"sum":157628,"residue":28},{"from_index":496,"to_index":896,"sum":160778,"residue":778},{"from_index":896,"to_index":96,"sum":156378,"residue":378}],"minimal_cycle":[28,778,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[96,496],"circle_positions":800,"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":[97,497,897],"clock_positions":[97,497,897],"native_values":[577,477,2],"rotation_degrees":29.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,477,2],"beta":{"interval_sums":[157398,160498,157048],"interval_residues":[598,498,248],"display_cycle":[598,498,248],"intervals":[{"from_index":97,"to_index":497,"sum":157398,"residue":598},{"from_index":497,"to_index":897,"sum":160498,"residue":498},{"from_index":897,"to_index":97,"sum":157048,"residue":248}],"minimal_cycle":[598,498,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[97,497],"circle_positions":800,"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":[98,498,898],"clock_positions":[98,498,898],"native_values":[449,24,199],"rotation_degrees":29.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,24,199],"beta":{"interval_sums":[157426,160476,157426],"interval_residues":[626,476,626],"display_cycle":[626,476,626],"intervals":[{"from_index":98,"to_index":498,"sum":157426,"residue":626},{"from_index":498,"to_index":898,"sum":160476,"residue":476},{"from_index":898,"to_index":98,"sum":157426,"residue":626}],"minimal_cycle":[626,476,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[98,498],"circle_positions":800,"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":[99,499,899],"clock_positions":[99,499,899],"native_values":[226,501,201],"rotation_degrees":29.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,501,201],"beta":{"interval_sums":[157224,160174,157674],"interval_residues":[424,174,74],"display_cycle":[424,174,74],"intervals":[{"from_index":99,"to_index":499,"sum":157224,"residue":424},{"from_index":499,"to_index":899,"sum":160174,"residue":174},{"from_index":899,"to_index":99,"sum":157674,"residue":74}],"minimal_cycle":[424,174,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[99,499],"circle_positions":800,"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":[100,500,900],"clock_positions":[100,500,900],"native_values":[675,525,400],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,525,400],"beta":{"interval_sums":[157050,159850,157500],"interval_residues":[250,650,700],"display_cycle":[250,650,700],"intervals":[{"from_index":100,"to_index":500,"sum":157050,"residue":250},{"from_index":500,"to_index":900,"sum":159850,"residue":650},{"from_index":900,"to_index":100,"sum":157500,"residue":700}],"minimal_cycle":[250,650,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[100,500],"circle_positions":800,"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":[101,501,901],"clock_positions":[101,501,901],"native_values":[101,226,601],"rotation_degrees":30.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,226,601],"beta":{"interval_sums":[157474,160024,157574],"interval_residues":[674,24,774],"display_cycle":[674,24,774],"intervals":[{"from_index":101,"to_index":501,"sum":157474,"residue":674},{"from_index":501,"to_index":901,"sum":160024,"residue":24},{"from_index":901,"to_index":101,"sum":157574,"residue":774}],"minimal_cycle":[674,24,774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[101,501],"circle_positions":800,"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":[102,502,902],"clock_positions":[102,502,902],"native_values":[776,751,201],"rotation_degrees":30.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[776,751,201],"beta":{"interval_sums":[156924,159874,157474],"interval_residues":[124,674,674],"display_cycle":[124,674,674],"intervals":[{"from_index":102,"to_index":502,"sum":156924,"residue":124},{"from_index":502,"to_index":902,"sum":159874,"residue":674},{"from_index":902,"to_index":102,"sum":157474,"residue":674}],"minimal_cycle":[124,674,674],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[102,502],"circle_positions":800,"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":[103,503,903],"clock_positions":[103,503,903],"native_values":[77,177,2],"rotation_degrees":30.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,177,2],"beta":{"interval_sums":[157598,159898,158248],"interval_residues":[798,698,648],"display_cycle":[798,698,648],"intervals":[{"from_index":103,"to_index":503,"sum":157598,"residue":798},{"from_index":503,"to_index":903,"sum":159898,"residue":698},{"from_index":903,"to_index":103,"sum":158248,"residue":648}],"minimal_cycle":[798,698,648],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":798,"start_interval_clock_positions":[103,503],"circle_positions":800,"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":[104,504,904],"clock_positions":[104,504,904],"native_values":[53,128,203],"rotation_degrees":31.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,128,203],"beta":{"interval_sums":[157722,159772,158122],"interval_residues":[122,572,522],"display_cycle":[122,572,522],"intervals":[{"from_index":104,"to_index":504,"sum":157722,"residue":122},{"from_index":504,"to_index":904,"sum":159772,"residue":572},{"from_index":904,"to_index":104,"sum":158122,"residue":522}],"minimal_cycle":[122,572,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[104,504],"circle_positions":800,"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":[105,505,905],"clock_positions":[105,505,905],"native_values":[130,305,205],"rotation_degrees":31.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,305,205],"beta":{"interval_sums":[157720,159670,157970],"interval_residues":[120,470,370],"display_cycle":[120,470,370],"intervals":[{"from_index":105,"to_index":505,"sum":157720,"residue":120},{"from_index":505,"to_index":905,"sum":159670,"residue":470},{"from_index":905,"to_index":105,"sum":157970,"residue":370}],"minimal_cycle":[120,470,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":120,"start_interval_clock_positions":[105,505],"circle_positions":800,"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":[106,506,906],"clock_positions":[106,506,906],"native_values":[183,433,408],"rotation_degrees":31.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,433,408],"beta":{"interval_sums":[157842,159442,157692],"interval_residues":[242,242,92],"display_cycle":[242,242,92],"intervals":[{"from_index":106,"to_index":506,"sum":157842,"residue":242},{"from_index":506,"to_index":906,"sum":159442,"residue":242},{"from_index":906,"to_index":106,"sum":157692,"residue":92}],"minimal_cycle":[242,242,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[106,506],"circle_positions":800,"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":[107,507,907],"clock_positions":[107,507,907],"native_values":[313,738,613],"rotation_degrees":32.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,738,613],"beta":{"interval_sums":[157962,159112,157262],"interval_residues":[362,712,462],"display_cycle":[362,712,462],"intervals":[{"from_index":107,"to_index":507,"sum":157962,"residue":362},{"from_index":507,"to_index":907,"sum":159112,"residue":712},{"from_index":907,"to_index":107,"sum":157262,"residue":462}],"minimal_cycle":[362,712,462],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[107,507],"circle_positions":800,"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":[108,508,908],"clock_positions":[108,508,908],"native_values":[496,371,221],"rotation_degrees":32.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,371,221],"beta":{"interval_sums":[158204,159354,157354],"interval_residues":[604,154,554],"display_cycle":[604,154,554],"intervals":[{"from_index":108,"to_index":508,"sum":158204,"residue":604},{"from_index":508,"to_index":908,"sum":159354,"residue":154},{"from_index":908,"to_index":108,"sum":157354,"residue":554}],"minimal_cycle":[604,154,554],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[108,508],"circle_positions":800,"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":[109,509,909],"clock_positions":[109,509,909],"native_values":[9,309,34],"rotation_degrees":32.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,309,34],"beta":{"interval_sums":[158566,159266,157816],"interval_residues":[166,66,216],"display_cycle":[166,66,216],"intervals":[{"from_index":109,"to_index":509,"sum":158566,"residue":166},{"from_index":509,"to_index":909,"sum":159266,"residue":66},{"from_index":909,"to_index":109,"sum":157816,"residue":216}],"minimal_cycle":[166,66,216],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[109,509],"circle_positions":800,"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":[110,510,910],"clock_positions":[110,510,910],"native_values":[505,680,255],"rotation_degrees":33.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,680,255],"beta":{"interval_sums":[158370,158620,157570],"interval_residues":[770,220,770],"display_cycle":[770,220,770],"intervals":[{"from_index":110,"to_index":510,"sum":158370,"residue":770},{"from_index":510,"to_index":910,"sum":158620,"residue":220},{"from_index":910,"to_index":110,"sum":157570,"residue":770}],"minimal_cycle":[770,220,770],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[110,510],"circle_positions":800,"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":[111,511,911],"clock_positions":[111,511,911],"native_values":[514,189,289],"rotation_degrees":33.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,189,289],"beta":{"interval_sums":[158536,158686,157786],"interval_residues":[136,286,186],"display_cycle":[136,286,186],"intervals":[{"from_index":111,"to_index":511,"sum":158536,"residue":136},{"from_index":511,"to_index":911,"sum":158686,"residue":286},{"from_index":911,"to_index":111,"sum":157786,"residue":186}],"minimal_cycle":[136,286,186],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":136,"start_interval_clock_positions":[111,511],"circle_positions":800,"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":[112,512,912],"clock_positions":[112,512,912],"native_values":[219,69,544],"rotation_degrees":33.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,69,544],"beta":{"interval_sums":[158506,158906,157756],"interval_residues":[106,506,156],"display_cycle":[106,506,156],"intervals":[{"from_index":112,"to_index":512,"sum":158506,"residue":106},{"from_index":512,"to_index":912,"sum":158906,"residue":506},{"from_index":912,"to_index":112,"sum":157756,"residue":156}],"minimal_cycle":[106,506,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[112,512],"circle_positions":800,"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":[113,513,913],"clock_positions":[113,513,913],"native_values":[733,258,33],"rotation_degrees":33.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,258,33],"beta":{"interval_sums":[157842,159192,157942],"interval_residues":[242,792,342],"display_cycle":[242,792,342],"intervals":[{"from_index":113,"to_index":513,"sum":157842,"residue":242},{"from_index":513,"to_index":913,"sum":159192,"residue":792},{"from_index":913,"to_index":113,"sum":157942,"residue":342}],"minimal_cycle":[242,792,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":242,"start_interval_clock_positions":[113,513],"circle_positions":800,"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":[114,514,914],"clock_positions":[114,514,914],"native_values":[152,327,577],"rotation_degrees":34.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,327,577],"beta":{"interval_sums":[157948,158898,158098],"interval_residues":[348,498,498],"display_cycle":[348,498,498],"intervals":[{"from_index":114,"to_index":514,"sum":157948,"residue":348},{"from_index":514,"to_index":914,"sum":158898,"residue":498},{"from_index":914,"to_index":114,"sum":158098,"residue":498}],"minimal_cycle":[348,498,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[114,514],"circle_positions":800,"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":[115,515,915],"clock_positions":[115,515,915],"native_values":[85,585,610],"rotation_degrees":34.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,585,610],"beta":{"interval_sums":[158190,158890,157640],"interval_residues":[590,490,40],"display_cycle":[590,490,40],"intervals":[{"from_index":115,"to_index":515,"sum":158190,"residue":590},{"from_index":515,"to_index":915,"sum":158890,"residue":490},{"from_index":915,"to_index":115,"sum":157640,"residue":40}],"minimal_cycle":[590,490,40],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":590,"start_interval_clock_positions":[115,515],"circle_positions":800,"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":[116,516,916],"clock_positions":[116,516,916],"native_values":[237,112,387],"rotation_degrees":34.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,112,387],"beta":{"interval_sums":[158538,159388,157338],"interval_residues":[138,188,538],"display_cycle":[138,188,538],"intervals":[{"from_index":116,"to_index":516,"sum":158538,"residue":138},{"from_index":516,"to_index":916,"sum":159388,"residue":188},{"from_index":916,"to_index":116,"sum":157338,"residue":538}],"minimal_cycle":[138,188,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":138,"start_interval_clock_positions":[116,516],"circle_positions":800,"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":[117,517,917],"clock_positions":[117,517,917],"native_values":[322,697,197],"rotation_degrees":35.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,697,197],"beta":{"interval_sums":[158328,159078,157378],"interval_residues":[728,678,578],"display_cycle":[728,678,578],"intervals":[{"from_index":117,"to_index":517,"sum":158328,"residue":728},{"from_index":517,"to_index":917,"sum":159078,"residue":678},{"from_index":917,"to_index":117,"sum":157378,"residue":578}],"minimal_cycle":[728,678,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":728,"start_interval_clock_positions":[117,517],"circle_positions":800,"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":[118,518,918],"clock_positions":[118,518,918],"native_values":[559,9,584],"rotation_degrees":35.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,9,584],"beta":{"interval_sums":[158466,159266,157116],"interval_residues":[66,66,316],"display_cycle":[66,66,316],"intervals":[{"from_index":118,"to_index":518,"sum":158466,"residue":66},{"from_index":518,"to_index":918,"sum":159266,"residue":66},{"from_index":918,"to_index":118,"sum":157116,"residue":316}],"minimal_cycle":[66,66,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":66,"start_interval_clock_positions":[118,518],"circle_positions":800,"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":[119,519,919],"clock_positions":[119,519,919],"native_values":[81,706,781],"rotation_degrees":35.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,706,781],"beta":{"interval_sums":[158394,159144,156894],"interval_residues":[794,744,94],"display_cycle":[794,744,94],"intervals":[{"from_index":119,"to_index":519,"sum":158394,"residue":794},{"from_index":519,"to_index":919,"sum":159144,"residue":744},{"from_index":919,"to_index":119,"sum":156894,"residue":94}],"minimal_cycle":[794,744,94],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":794,"start_interval_clock_positions":[119,519],"circle_positions":800,"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":[120,520,920],"clock_positions":[120,520,920],"native_values":[640,715,565],"rotation_degrees":36.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,715,565],"beta":{"interval_sums":[158460,159210,156410],"interval_residues":[60,10,410],"display_cycle":[60,10,410],"intervals":[{"from_index":120,"to_index":520,"sum":158460,"residue":60},{"from_index":520,"to_index":920,"sum":159210,"residue":10},{"from_index":920,"to_index":120,"sum":156410,"residue":410}],"minimal_cycle":[60,10,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[120,520],"circle_positions":800,"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":[121,521,921],"clock_positions":[121,521,921],"native_values":[721,621,546],"rotation_degrees":36.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,621,546],"beta":{"interval_sums":[158454,159154,156504],"interval_residues":[54,754,504],"display_cycle":[54,754,504],"intervals":[{"from_index":121,"to_index":521,"sum":158454,"residue":54},{"from_index":521,"to_index":921,"sum":159154,"residue":754},{"from_index":921,"to_index":121,"sum":156504,"residue":504}],"minimal_cycle":[54,754,504],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":54,"start_interval_clock_positions":[121,521],"circle_positions":800,"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":[122,522,922],"clock_positions":[122,522,922],"native_values":[561,536,311],"rotation_degrees":36.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,536,311],"beta":{"interval_sums":[158514,159164,156914],"interval_residues":[114,764,114],"display_cycle":[114,764,114],"intervals":[{"from_index":122,"to_index":522,"sum":158514,"residue":114},{"from_index":522,"to_index":922,"sum":159164,"residue":764},{"from_index":922,"to_index":122,"sum":156914,"residue":114}],"minimal_cycle":[114,764,114],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[122,522],"circle_positions":800,"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":[123,523,923],"clock_positions":[123,523,923],"native_values":[482,357,57],"rotation_degrees":36.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,357,57],"beta":{"interval_sums":[158568,159118,157418],"interval_residues":[168,718,618],"display_cycle":[168,718,618],"intervals":[{"from_index":123,"to_index":523,"sum":158568,"residue":168},{"from_index":523,"to_index":923,"sum":159118,"residue":718},{"from_index":923,"to_index":123,"sum":157418,"residue":618}],"minimal_cycle":[168,718,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":168,"start_interval_clock_positions":[123,523],"circle_positions":800,"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":[124,524,924],"clock_positions":[124,524,924],"native_values":[243,93,368],"rotation_degrees":37.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,93,368],"beta":{"interval_sums":[158682,159082,157532],"interval_residues":[282,682,732],"display_cycle":[282,682,732],"intervals":[{"from_index":124,"to_index":524,"sum":158682,"residue":282},{"from_index":524,"to_index":924,"sum":159082,"residue":682},{"from_index":924,"to_index":124,"sum":157532,"residue":732}],"minimal_cycle":[282,682,732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[124,524],"circle_positions":800,"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":[125,525,925],"clock_positions":[125,525,925],"native_values":[725,450,425],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,450,425],"beta":{"interval_sums":[158050,159000,157350],"interval_residues":[450,600,550],"display_cycle":[450,600,550],"intervals":[{"from_index":125,"to_index":525,"sum":158050,"residue":450},{"from_index":525,"to_index":925,"sum":159000,"residue":600},{"from_index":925,"to_index":125,"sum":157350,"residue":550}],"minimal_cycle":[450,600,550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[125,525],"circle_positions":800,"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":[126,526,926],"clock_positions":[126,526,926],"native_values":[168,543,793],"rotation_degrees":37.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,543,793],"beta":{"interval_sums":[158332,158882,157282],"interval_residues":[732,482,482],"display_cycle":[732,482,482],"intervals":[{"from_index":126,"to_index":526,"sum":158332,"residue":732},{"from_index":526,"to_index":926,"sum":158882,"residue":482},{"from_index":926,"to_index":126,"sum":157282,"residue":482}],"minimal_cycle":[732,482,482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[126,526],"circle_positions":800,"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":[127,527,927],"clock_positions":[127,527,927],"native_values":[93,193,418],"rotation_degrees":38.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,193,418],"beta":{"interval_sums":[158782,159482,157032],"interval_residues":[382,282,232],"display_cycle":[382,282,232],"intervals":[{"from_index":127,"to_index":527,"sum":158782,"residue":382},{"from_index":527,"to_index":927,"sum":159482,"residue":282},{"from_index":927,"to_index":127,"sum":157032,"residue":232}],"minimal_cycle":[382,282,232],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":382,"start_interval_clock_positions":[127,527],"circle_positions":800,"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":[128,528,928],"clock_positions":[128,528,928],"native_values":[261,736,411],"rotation_degrees":38.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,736,411],"beta":{"interval_sums":[158714,159164,156714],"interval_residues":[314,764,714],"display_cycle":[314,764,714],"intervals":[{"from_index":128,"to_index":528,"sum":158714,"residue":314},{"from_index":528,"to_index":928,"sum":159164,"residue":764},{"from_index":928,"to_index":128,"sum":156714,"residue":714}],"minimal_cycle":[314,764,714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[128,528],"circle_positions":800,"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":[129,529,929],"clock_positions":[129,529,929],"native_values":[354,129,29],"rotation_degrees":38.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,129,29],"beta":{"interval_sums":[159096,159446,156946],"interval_residues":[696,246,146],"display_cycle":[696,246,146],"intervals":[{"from_index":129,"to_index":529,"sum":159096,"residue":696},{"from_index":529,"to_index":929,"sum":159446,"residue":246},{"from_index":929,"to_index":129,"sum":156946,"residue":146}],"minimal_cycle":[696,246,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":696,"start_interval_clock_positions":[129,529],"circle_positions":800,"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":[130,530,930],"clock_positions":[130,530,930],"native_values":[615,65,440],"rotation_degrees":39.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,65,440],"beta":{"interval_sums":[158610,159410,156860],"interval_residues":[210,210,60],"display_cycle":[210,210,60],"intervals":[{"from_index":130,"to_index":530,"sum":158610,"residue":210},{"from_index":530,"to_index":930,"sum":159410,"residue":210},{"from_index":930,"to_index":130,"sum":156860,"residue":60}],"minimal_cycle":[210,210,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":210,"start_interval_clock_positions":[130,530],"circle_positions":800,"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":[131,531,931],"clock_positions":[131,531,931],"native_values":[169,194,469],"rotation_degrees":39.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,194,469],"beta":{"interval_sums":[158506,159656,157006],"interval_residues":[106,456,206],"display_cycle":[106,456,206],"intervals":[{"from_index":131,"to_index":531,"sum":158506,"residue":106},{"from_index":531,"to_index":931,"sum":159656,"residue":456},{"from_index":931,"to_index":131,"sum":157006,"residue":206}],"minimal_cycle":[106,456,206],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[131,531],"circle_positions":800,"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":[132,532,932],"clock_positions":[132,532,932],"native_values":[784,259,109],"rotation_degrees":39.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[784,259,109],"beta":{"interval_sums":[157916,159866,157066],"interval_residues":[316,666,266],"display_cycle":[316,666,266],"intervals":[{"from_index":132,"to_index":532,"sum":157916,"residue":316},{"from_index":532,"to_index":932,"sum":159866,"residue":666},{"from_index":932,"to_index":132,"sum":157066,"residue":266}],"minimal_cycle":[316,666,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[132,532],"circle_positions":800,"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":[133,533,933],"clock_positions":[133,533,933],"native_values":[153,453,578],"rotation_degrees":39.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,453,578],"beta":{"interval_sums":[158022,159522,157272],"interval_residues":[422,322,472],"display_cycle":[422,322,472],"intervals":[{"from_index":133,"to_index":533,"sum":158022,"residue":422},{"from_index":533,"to_index":933,"sum":159522,"residue":322},{"from_index":933,"to_index":133,"sum":157272,"residue":472}],"minimal_cycle":[422,322,472],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[133,533],"circle_positions":800,"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":[134,534,934],"clock_positions":[134,534,934],"native_values":[137,712,687],"rotation_degrees":40.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,712,687],"beta":{"interval_sums":[158338,159388,156738],"interval_residues":[738,188,738],"display_cycle":[738,188,738],"intervals":[{"from_index":134,"to_index":534,"sum":158338,"residue":738},{"from_index":534,"to_index":934,"sum":159388,"residue":188},{"from_index":934,"to_index":134,"sum":156738,"residue":738}],"minimal_cycle":[738,188,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[134,534],"circle_positions":800,"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":[135,535,935],"clock_positions":[135,535,935],"native_values":[290,365,465],"rotation_degrees":40.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,365,465],"beta":{"interval_sums":[158760,159710,156410],"interval_residues":[360,510,410],"display_cycle":[360,510,410],"intervals":[{"from_index":135,"to_index":535,"sum":158760,"residue":360},{"from_index":535,"to_index":935,"sum":159710,"residue":510},{"from_index":935,"to_index":135,"sum":156410,"residue":410}],"minimal_cycle":[360,510,410],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":360,"start_interval_clock_positions":[135,535],"circle_positions":800,"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":[136,536,936],"clock_positions":[136,536,936],"native_values":[427,277,352],"rotation_degrees":40.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,277,352],"beta":{"interval_sums":[158698,159898,156348],"interval_residues":[298,698,348],"display_cycle":[298,698,348],"intervals":[{"from_index":136,"to_index":536,"sum":158698,"residue":298},{"from_index":536,"to_index":936,"sum":159898,"residue":698},{"from_index":936,"to_index":136,"sum":156348,"residue":348}],"minimal_cycle":[298,698,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[136,536],"circle_positions":800,"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":[137,537,937],"clock_positions":[137,537,937],"native_values":[717,642,17],"rotation_degrees":41.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,642,17],"beta":{"interval_sums":[158258,159608,156758],"interval_residues":[658,408,758],"display_cycle":[658,408,758],"intervals":[{"from_index":137,"to_index":537,"sum":158258,"residue":658},{"from_index":537,"to_index":937,"sum":159608,"residue":408},{"from_index":937,"to_index":137,"sum":156758,"residue":758}],"minimal_cycle":[658,408,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[137,537],"circle_positions":800,"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":[138,538,938],"clock_positions":[138,538,938],"native_values":[344,119,369],"rotation_degrees":41.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,119,369],"beta":{"interval_sums":[158556,159506,157106],"interval_residues":[156,306,306],"display_cycle":[156,306,306],"intervals":[{"from_index":138,"to_index":538,"sum":158556,"residue":156},{"from_index":538,"to_index":938,"sum":159506,"residue":306},{"from_index":938,"to_index":138,"sum":157106,"residue":306}],"minimal_cycle":[156,306,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[138,538],"circle_positions":800,"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":[139,539,939],"clock_positions":[139,539,939],"native_values":[261,761,386],"rotation_degrees":41.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,761,386],"beta":{"interval_sums":[158414,159114,157064],"interval_residues":[14,714,264],"display_cycle":[14,714,264],"intervals":[{"from_index":139,"to_index":539,"sum":158414,"residue":14},{"from_index":539,"to_index":939,"sum":159114,"residue":714},{"from_index":939,"to_index":139,"sum":157064,"residue":264}],"minimal_cycle":[14,714,264],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":14,"start_interval_clock_positions":[139,539],"circle_positions":800,"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":[140,540,940],"clock_positions":[140,540,940],"native_values":[605,80,755],"rotation_degrees":42.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,80,755],"beta":{"interval_sums":[158570,159420,156570],"interval_residues":[170,220,570],"display_cycle":[170,220,570],"intervals":[{"from_index":140,"to_index":540,"sum":158570,"residue":170},{"from_index":540,"to_index":940,"sum":159420,"residue":220},{"from_index":940,"to_index":140,"sum":156570,"residue":570}],"minimal_cycle":[170,220,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[140,540],"circle_positions":800,"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":[141,541,941],"clock_positions":[141,541,941],"native_values":[66,41,341],"rotation_degrees":42.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,41,341],"beta":{"interval_sums":[158584,160134,156834],"interval_residues":[184,134,34],"display_cycle":[184,134,34],"intervals":[{"from_index":141,"to_index":541,"sum":158584,"residue":184},{"from_index":541,"to_index":941,"sum":160134,"residue":134},{"from_index":941,"to_index":141,"sum":156834,"residue":34}],"minimal_cycle":[184,134,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":184,"start_interval_clock_positions":[141,541],"circle_positions":800,"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":[142,542,942],"clock_positions":[142,542,942],"native_values":[671,121,296],"rotation_degrees":42.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,121,296],"beta":{"interval_sums":[157954,160354,156604],"interval_residues":[354,354,604],"display_cycle":[354,354,604],"intervals":[{"from_index":142,"to_index":542,"sum":157954,"residue":354},{"from_index":542,"to_index":942,"sum":160354,"residue":354},{"from_index":942,"to_index":142,"sum":156604,"residue":604}],"minimal_cycle":[354,354,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[142,542],"circle_positions":800,"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":[143,543,943],"clock_positions":[143,543,943],"native_values":[737,162,637],"rotation_degrees":42.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[737,162,637],"beta":{"interval_sums":[157338,160488,156638],"interval_residues":[538,488,638],"display_cycle":[538,488,638],"intervals":[{"from_index":143,"to_index":543,"sum":157338,"residue":538},{"from_index":543,"to_index":943,"sum":160488,"residue":488},{"from_index":943,"to_index":143,"sum":156638,"residue":638}],"minimal_cycle":[538,488,638],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[143,543],"circle_positions":800,"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":[144,544,944],"clock_positions":[144,544,944],"native_values":[608,283,133],"rotation_degrees":43.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[608,283,133],"beta":{"interval_sums":[156892,160842,157242],"interval_residues":[92,42,442],"display_cycle":[92,42,442],"intervals":[{"from_index":144,"to_index":544,"sum":156892,"residue":92},{"from_index":544,"to_index":944,"sum":160842,"residue":42},{"from_index":944,"to_index":144,"sum":157242,"residue":442}],"minimal_cycle":[92,42,442],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[144,544],"circle_positions":800,"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":[145,545,945],"clock_positions":[145,545,945],"native_values":[545,445,770],"rotation_degrees":43.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,445,770],"beta":{"interval_sums":[156630,160530,157080],"interval_residues":[630,530,280],"display_cycle":[630,530,280],"intervals":[{"from_index":145,"to_index":545,"sum":156630,"residue":630},{"from_index":545,"to_index":945,"sum":160530,"residue":530},{"from_index":945,"to_index":145,"sum":157080,"residue":280}],"minimal_cycle":[630,530,280],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":630,"start_interval_clock_positions":[145,545],"circle_positions":800,"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":[146,546,946],"clock_positions":[146,546,946],"native_values":[353,728,103],"rotation_degrees":43.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,728,103],"beta":{"interval_sums":[156722,160572,157522],"interval_residues":[722,572,722],"display_cycle":[722,572,722],"intervals":[{"from_index":146,"to_index":546,"sum":156722,"residue":722},{"from_index":546,"to_index":946,"sum":160572,"residue":572},{"from_index":946,"to_index":146,"sum":157522,"residue":722}],"minimal_cycle":[722,572,722],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[146,546],"circle_positions":800,"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":[147,547,947],"clock_positions":[147,547,947],"native_values":[98,373,73],"rotation_degrees":44.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,373,73],"beta":{"interval_sums":[157352,160302,157802],"interval_residues":[552,302,202],"display_cycle":[552,302,202],"intervals":[{"from_index":147,"to_index":547,"sum":157352,"residue":552},{"from_index":547,"to_index":947,"sum":160302,"residue":302},{"from_index":947,"to_index":147,"sum":157802,"residue":202}],"minimal_cycle":[552,302,202],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":552,"start_interval_clock_positions":[147,547],"circle_positions":800,"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":[148,548,948],"clock_positions":[148,548,948],"native_values":[451,301,176],"rotation_degrees":44.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,301,176],"beta":{"interval_sums":[157274,160074,157724],"interval_residues":[474,74,124],"display_cycle":[474,74,124],"intervals":[{"from_index":148,"to_index":548,"sum":157274,"residue":474},{"from_index":548,"to_index":948,"sum":160074,"residue":74},{"from_index":948,"to_index":148,"sum":157724,"residue":124}],"minimal_cycle":[474,74,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[148,548],"circle_positions":800,"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":[149,549,949],"clock_positions":[149,549,949],"native_values":[549,674,249],"rotation_degrees":44.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,674,249],"beta":{"interval_sums":[157026,159576,157926],"interval_residues":[226,376,326],"display_cycle":[226,376,326],"intervals":[{"from_index":149,"to_index":549,"sum":157026,"residue":226},{"from_index":549,"to_index":949,"sum":159576,"residue":376},{"from_index":949,"to_index":149,"sum":157926,"residue":326}],"minimal_cycle":[226,376,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[149,549],"circle_positions":800,"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":[150,550,950],"clock_positions":[150,550,950],"native_values":[200,175,425],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,175,425],"beta":{"interval_sums":[157500,159650,158050],"interval_residues":[700,450,450],"display_cycle":[700,450,450],"intervals":[{"from_index":150,"to_index":550,"sum":157500,"residue":700},{"from_index":550,"to_index":950,"sum":159650,"residue":450},{"from_index":950,"to_index":150,"sum":158050,"residue":450}],"minimal_cycle":[700,450,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[150,550],"circle_positions":800,"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":[151,551,951],"clock_positions":[151,551,951],"native_values":[749,49,674],"rotation_degrees":45.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[749,49,674],"beta":{"interval_sums":[156926,160026,157576],"interval_residues":[126,26,776],"display_cycle":[126,26,776],"intervals":[{"from_index":151,"to_index":551,"sum":156926,"residue":126},{"from_index":551,"to_index":951,"sum":160026,"residue":26},{"from_index":951,"to_index":151,"sum":157576,"residue":776}],"minimal_cycle":[126,26,776],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":126,"start_interval_clock_positions":[151,551],"circle_positions":800,"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":[152,552,952],"clock_positions":[152,552,952],"native_values":[149,224,299],"rotation_degrees":45.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,224,299],"beta":{"interval_sums":[156826,160476,158026],"interval_residues":[26,476,426],"display_cycle":[26,476,426],"intervals":[{"from_index":152,"to_index":552,"sum":156826,"residue":26},{"from_index":552,"to_index":952,"sum":160476,"residue":476},{"from_index":952,"to_index":152,"sum":158026,"residue":426}],"minimal_cycle":[26,476,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":26,"start_interval_clock_positions":[152,552],"circle_positions":800,"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":[153,553,953],"clock_positions":[153,553,953],"native_values":[98,273,173],"rotation_degrees":45.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,273,173],"beta":{"interval_sums":[156952,160502,158002],"interval_residues":[152,502,402],"display_cycle":[152,502,402],"intervals":[{"from_index":153,"to_index":553,"sum":156952,"residue":152},{"from_index":553,"to_index":953,"sum":160502,"residue":502},{"from_index":953,"to_index":153,"sum":158002,"residue":402}],"minimal_cycle":[152,502,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":152,"start_interval_clock_positions":[153,553],"circle_positions":800,"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":[154,554,954],"clock_positions":[154,554,954],"native_values":[247,497,472],"rotation_degrees":46.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,497,472],"beta":{"interval_sums":[156978,160178,157628],"interval_residues":[178,178,28],"display_cycle":[178,178,28],"intervals":[{"from_index":154,"to_index":554,"sum":156978,"residue":178},{"from_index":554,"to_index":954,"sum":160178,"residue":178},{"from_index":954,"to_index":154,"sum":157628,"residue":28}],"minimal_cycle":[178,178,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":178,"start_interval_clock_positions":[154,554],"circle_positions":800,"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":[155,555,955],"clock_positions":[155,555,955],"native_values":[345,770,645],"rotation_degrees":46.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,770,645],"beta":{"interval_sums":[157130,159880,157230],"interval_residues":[330,680,430],"display_cycle":[330,680,430],"intervals":[{"from_index":155,"to_index":555,"sum":157130,"residue":330},{"from_index":555,"to_index":955,"sum":159880,"residue":680},{"from_index":955,"to_index":155,"sum":157230,"residue":430}],"minimal_cycle":[330,680,430],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[155,555],"circle_positions":800,"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":[156,556,956],"clock_positions":[156,556,956],"native_values":[592,467,317],"rotation_degrees":46.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,467,317],"beta":{"interval_sums":[157308,160058,157258],"interval_residues":[508,58,458],"display_cycle":[508,58,458],"intervals":[{"from_index":156,"to_index":556,"sum":157308,"residue":508},{"from_index":556,"to_index":956,"sum":160058,"residue":58},{"from_index":956,"to_index":156,"sum":157258,"residue":458}],"minimal_cycle":[508,58,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[156,556],"circle_positions":800,"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":[157,557,957],"clock_positions":[157,557,957],"native_values":[137,437,162],"rotation_degrees":47.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,437,162],"beta":{"interval_sums":[157638,159938,157688],"interval_residues":[38,738,88],"display_cycle":[38,738,88],"intervals":[{"from_index":157,"to_index":557,"sum":157638,"residue":38},{"from_index":557,"to_index":957,"sum":159938,"residue":738},{"from_index":957,"to_index":157,"sum":157688,"residue":88}],"minimal_cycle":[38,738,88],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[157,557],"circle_positions":800,"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":[158,558,958],"clock_positions":[158,558,958],"native_values":[729,104,479],"rotation_degrees":47.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,104,479],"beta":{"interval_sums":[157346,159996,157346],"interval_residues":[546,796,546],"display_cycle":[546,796,546],"intervals":[{"from_index":158,"to_index":558,"sum":157346,"residue":546},{"from_index":558,"to_index":958,"sum":159996,"residue":796},{"from_index":958,"to_index":158,"sum":157346,"residue":546}],"minimal_cycle":[546,796,546],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[158,558],"circle_positions":800,"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":[159,559,959],"clock_positions":[159,559,959],"native_values":[66,541,641],"rotation_degrees":47.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,541,641],"beta":{"interval_sums":[157384,159934,157434],"interval_residues":[584,734,634],"display_cycle":[584,734,634],"intervals":[{"from_index":159,"to_index":559,"sum":157384,"residue":584},{"from_index":559,"to_index":959,"sum":159934,"residue":734},{"from_index":959,"to_index":159,"sum":157434,"residue":634}],"minimal_cycle":[584,734,634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":584,"start_interval_clock_positions":[159,559],"circle_positions":800,"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":[160,560,960],"clock_positions":[160,560,960],"native_values":[795,645,320],"rotation_degrees":48.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,645,320],"beta":{"interval_sums":[157130,159930,157180],"interval_residues":[330,730,380],"display_cycle":[330,730,380],"intervals":[{"from_index":160,"to_index":560,"sum":157130,"residue":330},{"from_index":560,"to_index":960,"sum":159930,"residue":730},{"from_index":960,"to_index":160,"sum":157180,"residue":380}],"minimal_cycle":[330,730,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[160,560],"circle_positions":800,"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":[161,561,961],"clock_positions":[161,561,961],"native_values":[61,386,161],"rotation_degrees":48.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,386,161],"beta":{"interval_sums":[157714,159864,157814],"interval_residues":[114,664,214],"display_cycle":[114,664,214],"intervals":[{"from_index":161,"to_index":561,"sum":157714,"residue":114},{"from_index":561,"to_index":961,"sum":159864,"residue":664},{"from_index":961,"to_index":161,"sum":157814,"residue":214}],"minimal_cycle":[114,664,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[161,561],"circle_positions":800,"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":[162,562,962],"clock_positions":[162,562,962],"native_values":[56,231,481],"rotation_degrees":48.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,231,481],"beta":{"interval_sums":[158044,159794,157394],"interval_residues":[444,594,594],"display_cycle":[444,594,594],"intervals":[{"from_index":162,"to_index":562,"sum":158044,"residue":444},{"from_index":562,"to_index":962,"sum":159794,"residue":594},{"from_index":962,"to_index":162,"sum":157394,"residue":594}],"minimal_cycle":[444,594,594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[162,562],"circle_positions":800,"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":[163,563,963],"clock_positions":[163,563,963],"native_values":[117,617,642],"rotation_degrees":48.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,617,642],"beta":{"interval_sums":[158158,159658,156808],"interval_residues":[558,458,8],"display_cycle":[558,458,8],"intervals":[{"from_index":163,"to_index":563,"sum":158158,"residue":558},{"from_index":563,"to_index":963,"sum":159658,"residue":458},{"from_index":963,"to_index":163,"sum":156808,"residue":8}],"minimal_cycle":[558,458,8],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":558,"start_interval_clock_positions":[163,563],"circle_positions":800,"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":[164,564,964],"clock_positions":[164,564,964],"native_values":[173,48,323],"rotation_degrees":49.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,48,323],"beta":{"interval_sums":[158602,160252,156602],"interval_residues":[202,252,602],"display_cycle":[202,252,602],"intervals":[{"from_index":164,"to_index":564,"sum":158602,"residue":202},{"from_index":564,"to_index":964,"sum":160252,"residue":252},{"from_index":964,"to_index":164,"sum":156602,"residue":602}],"minimal_cycle":[202,252,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[164,564],"circle_positions":800,"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":[165,565,965],"clock_positions":[165,565,965],"native_values":[290,665,165],"rotation_degrees":49.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,665,165],"beta":{"interval_sums":[158360,159910,156610],"interval_residues":[760,710,610],"display_cycle":[760,710,610],"intervals":[{"from_index":165,"to_index":565,"sum":158360,"residue":760},{"from_index":565,"to_index":965,"sum":159910,"residue":710},{"from_index":965,"to_index":165,"sum":156610,"residue":610}],"minimal_cycle":[760,710,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":760,"start_interval_clock_positions":[165,565],"circle_positions":800,"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":[166,566,966],"clock_positions":[166,566,966],"native_values":[463,713,488],"rotation_degrees":49.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,713,488],"beta":{"interval_sums":[158562,159362,156412],"interval_residues":[162,162,412],"display_cycle":[162,162,412],"intervals":[{"from_index":166,"to_index":566,"sum":158562,"residue":162},{"from_index":566,"to_index":966,"sum":159362,"residue":162},{"from_index":966,"to_index":166,"sum":156412,"residue":412}],"minimal_cycle":[162,162,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[166,566],"circle_positions":800,"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":[167,567,967],"clock_positions":[167,567,967],"native_values":[753,578,653],"rotation_degrees":50.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,578,653],"beta":{"interval_sums":[158522,159272,156222],"interval_residues":[122,72,222],"display_cycle":[122,72,222],"intervals":[{"from_index":167,"to_index":567,"sum":158522,"residue":122},{"from_index":567,"to_index":967,"sum":159272,"residue":72},{"from_index":967,"to_index":167,"sum":156222,"residue":222}],"minimal_cycle":[122,72,222],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":122,"start_interval_clock_positions":[167,567],"circle_positions":800,"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":[168,568,968],"clock_positions":[168,568,968],"native_values":[416,491,341],"rotation_degrees":50.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,491,341],"beta":{"interval_sums":[158684,159434,156634],"interval_residues":[284,234,634],"display_cycle":[284,234,634],"intervals":[{"from_index":168,"to_index":568,"sum":158684,"residue":284},{"from_index":568,"to_index":968,"sum":159434,"residue":234},{"from_index":968,"to_index":168,"sum":156634,"residue":634}],"minimal_cycle":[284,234,634],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[168,568],"circle_positions":800,"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":[169,569,969],"clock_positions":[169,569,969],"native_values":[369,269,194],"rotation_degrees":50.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,269,194],"beta":{"interval_sums":[158806,159506,156856],"interval_residues":[406,306,56],"display_cycle":[406,306,56],"intervals":[{"from_index":169,"to_index":569,"sum":158806,"residue":406},{"from_index":569,"to_index":969,"sum":159506,"residue":306},{"from_index":969,"to_index":169,"sum":156856,"residue":56}],"minimal_cycle":[406,306,56],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[169,569],"circle_positions":800,"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":[170,570,970],"clock_positions":[170,570,970],"native_values":[785,760,535],"rotation_degrees":51.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[785,760,535],"beta":{"interval_sums":[158290,158940,156690],"interval_residues":[690,540,690],"display_cycle":[690,540,690],"intervals":[{"from_index":170,"to_index":570,"sum":158290,"residue":690},{"from_index":570,"to_index":970,"sum":158940,"residue":540},{"from_index":970,"to_index":170,"sum":156690,"residue":690}],"minimal_cycle":[690,540,690],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[170,570],"circle_positions":800,"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":[171,571,971],"clock_positions":[171,571,971],"native_values":[354,229,729],"rotation_degrees":51.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,229,729],"beta":{"interval_sums":[158696,159246,156746],"interval_residues":[296,46,746],"display_cycle":[296,46,746],"intervals":[{"from_index":171,"to_index":571,"sum":158696,"residue":296},{"from_index":571,"to_index":971,"sum":159246,"residue":46},{"from_index":971,"to_index":171,"sum":156746,"residue":746}],"minimal_cycle":[296,46,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":296,"start_interval_clock_positions":[171,571],"circle_positions":800,"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":[172,572,972],"clock_positions":[172,572,972],"native_values":[339,189,464],"rotation_degrees":51.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,189,464],"beta":{"interval_sums":[158586,159786,156636],"interval_residues":[186,586,636],"display_cycle":[186,586,636],"intervals":[{"from_index":172,"to_index":572,"sum":158586,"residue":186},{"from_index":572,"to_index":972,"sum":159786,"residue":586},{"from_index":972,"to_index":172,"sum":156636,"residue":636}],"minimal_cycle":[186,586,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[172,572],"circle_positions":800,"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":[173,573,973],"clock_positions":[173,573,973],"native_values":[693,418,393],"rotation_degrees":51.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,418,393],"beta":{"interval_sums":[158082,159832,156582],"interval_residues":[482,632,582],"display_cycle":[482,632,582],"intervals":[{"from_index":173,"to_index":573,"sum":158082,"residue":482},{"from_index":573,"to_index":973,"sum":159832,"residue":632},{"from_index":973,"to_index":173,"sum":156582,"residue":582}],"minimal_cycle":[482,632,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[173,573],"circle_positions":800,"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":[174,574,974],"clock_positions":[174,574,974],"native_values":[232,607,57],"rotation_degrees":52.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,607,57],"beta":{"interval_sums":[158268,159618,157218],"interval_residues":[668,418,418],"display_cycle":[668,418,418],"intervals":[{"from_index":174,"to_index":574,"sum":158268,"residue":668},{"from_index":574,"to_index":974,"sum":159618,"residue":418},{"from_index":974,"to_index":174,"sum":157218,"residue":418}],"minimal_cycle":[668,418,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":668,"start_interval_clock_positions":[174,574],"circle_positions":800,"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":[175,575,975],"clock_positions":[175,575,975],"native_values":[125,225,450],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,225,450],"beta":{"interval_sums":[158750,159450,157000],"interval_residues":[350,250,200],"display_cycle":[350,250,200],"intervals":[{"from_index":175,"to_index":575,"sum":158750,"residue":350},{"from_index":575,"to_index":975,"sum":159450,"residue":250},{"from_index":975,"to_index":175,"sum":157000,"residue":200}],"minimal_cycle":[350,250,200],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":350,"start_interval_clock_positions":[175,575],"circle_positions":800,"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":[176,576,976],"clock_positions":[176,576,976],"native_values":[357,32,507],"rotation_degrees":52.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,32,507],"beta":{"interval_sums":[158618,159868,156618],"interval_residues":[218,668,618],"display_cycle":[218,668,618],"intervals":[{"from_index":176,"to_index":576,"sum":158618,"residue":218},{"from_index":576,"to_index":976,"sum":159868,"residue":668},{"from_index":976,"to_index":176,"sum":156618,"residue":618}],"minimal_cycle":[218,668,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":218,"start_interval_clock_positions":[176,576],"circle_positions":800,"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":[177,577,977],"clock_positions":[177,577,977],"native_values":[482,257,157],"rotation_degrees":53.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,257,157],"beta":{"interval_sums":[158168,160118,156818],"interval_residues":[568,118,18],"display_cycle":[568,118,18],"intervals":[{"from_index":177,"to_index":577,"sum":158168,"residue":568},{"from_index":577,"to_index":977,"sum":160118,"residue":118},{"from_index":977,"to_index":177,"sum":156818,"residue":18}],"minimal_cycle":[568,118,18],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":568,"start_interval_clock_positions":[177,577],"circle_positions":800,"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":[178,578,978],"clock_positions":[178,578,978],"native_values":[39,289,664],"rotation_degrees":53.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,289,664],"beta":{"interval_sums":[158386,159986,156636],"interval_residues":[786,786,636],"display_cycle":[786,786,636],"intervals":[{"from_index":178,"to_index":578,"sum":158386,"residue":786},{"from_index":578,"to_index":978,"sum":159986,"residue":786},{"from_index":978,"to_index":178,"sum":156636,"residue":636}],"minimal_cycle":[786,786,636],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":786,"start_interval_clock_positions":[178,578],"circle_positions":800,"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":[179,579,979],"clock_positions":[179,579,979],"native_values":[521,546,21],"rotation_degrees":53.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,546,21],"beta":{"interval_sums":[158154,160104,156654],"interval_residues":[554,104,654],"display_cycle":[554,104,654],"intervals":[{"from_index":179,"to_index":579,"sum":158154,"residue":554},{"from_index":579,"to_index":979,"sum":160104,"residue":104},{"from_index":979,"to_index":179,"sum":156654,"residue":654}],"minimal_cycle":[554,104,654],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[179,579],"circle_positions":800,"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":[180,580,980],"clock_positions":[180,580,980],"native_values":[560,35,685],"rotation_degrees":54.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,35,685],"beta":{"interval_sums":[158140,160090,156490],"interval_residues":[540,90,490],"display_cycle":[540,90,490],"intervals":[{"from_index":180,"to_index":580,"sum":158140,"residue":540},{"from_index":580,"to_index":980,"sum":160090,"residue":90},{"from_index":980,"to_index":180,"sum":156490,"residue":490}],"minimal_cycle":[540,90,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[180,580],"circle_positions":800,"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":[181,581,981],"clock_positions":[181,581,981],"native_values":[281,581,706],"rotation_degrees":54.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,581,706],"beta":{"interval_sums":[157894,160194,156344],"interval_residues":[294,194,344],"display_cycle":[294,194,344],"intervals":[{"from_index":181,"to_index":581,"sum":157894,"residue":294},{"from_index":581,"to_index":981,"sum":160194,"residue":194},{"from_index":981,"to_index":181,"sum":156344,"residue":344}],"minimal_cycle":[294,194,344],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[181,581],"circle_positions":800,"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":[182,582,982],"clock_positions":[182,582,982],"native_values":[41,616,591],"rotation_degrees":54.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,616,591],"beta":{"interval_sums":[158434,160284,156034],"interval_residues":[34,284,34],"display_cycle":[34,284,34],"intervals":[{"from_index":182,"to_index":582,"sum":158434,"residue":34},{"from_index":582,"to_index":982,"sum":160284,"residue":284},{"from_index":982,"to_index":182,"sum":156034,"residue":34}],"minimal_cycle":[34,284,34],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[182,582],"circle_positions":800,"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":[183,583,983],"clock_positions":[183,583,983],"native_values":[322,397,497],"rotation_degrees":54.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,397,497],"beta":{"interval_sums":[158728,160478,155578],"interval_residues":[328,478,378],"display_cycle":[328,478,378],"intervals":[{"from_index":183,"to_index":583,"sum":158728,"residue":328},{"from_index":583,"to_index":983,"sum":160478,"residue":478},{"from_index":983,"to_index":183,"sum":155578,"residue":378}],"minimal_cycle":[328,478,378],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":328,"start_interval_clock_positions":[183,583],"circle_positions":800,"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":[184,584,984],"clock_positions":[184,584,984],"native_values":[363,213,288],"rotation_degrees":55.2,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[363,213,288],"beta":{"interval_sums":[158762,160762,155612],"interval_residues":[362,762,412],"display_cycle":[362,762,412],"intervals":[{"from_index":184,"to_index":584,"sum":158762,"residue":362},{"from_index":584,"to_index":984,"sum":160762,"residue":762},{"from_index":984,"to_index":184,"sum":155612,"residue":412}],"minimal_cycle":[362,762,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[184,584],"circle_positions":800,"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":[185,585,985],"clock_positions":[185,585,985],"native_values":[685,610,785],"rotation_degrees":55.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,610,785],"beta":{"interval_sums":[158290,160440,155190],"interval_residues":[690,440,790],"display_cycle":[690,440,790],"intervals":[{"from_index":185,"to_index":585,"sum":158290,"residue":690},{"from_index":585,"to_index":985,"sum":160440,"residue":440},{"from_index":985,"to_index":185,"sum":155190,"residue":790}],"minimal_cycle":[690,440,790],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[185,585],"circle_positions":800,"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":[186,586,986],"clock_positions":[186,586,986],"native_values":[248,23,273],"rotation_degrees":55.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,23,273],"beta":{"interval_sums":[158652,161202,155602],"interval_residues":[252,402,402],"display_cycle":[252,402,402],"intervals":[{"from_index":186,"to_index":586,"sum":158652,"residue":252},{"from_index":586,"to_index":986,"sum":161202,"residue":402},{"from_index":986,"to_index":186,"sum":155602,"residue":402}],"minimal_cycle":[252,402,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[186,586],"circle_positions":800,"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":[187,587,987],"clock_positions":[187,587,987],"native_values":[133,633,258],"rotation_degrees":56.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,633,258],"beta":{"interval_sums":[158542,160842,155592],"interval_residues":[142,42,392],"display_cycle":[142,42,392],"intervals":[{"from_index":187,"to_index":587,"sum":158542,"residue":142},{"from_index":587,"to_index":987,"sum":160842,"residue":42},{"from_index":987,"to_index":187,"sum":155592,"residue":392}],"minimal_cycle":[142,42,392],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":142,"start_interval_clock_positions":[187,587],"circle_positions":800,"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":[188,588,988],"clock_positions":[188,588,988],"native_values":[381,656,531],"rotation_degrees":56.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,656,531],"beta":{"interval_sums":[158794,160444,155194],"interval_residues":[394,444,794],"display_cycle":[394,444,794],"intervals":[{"from_index":188,"to_index":588,"sum":158794,"residue":394},{"from_index":588,"to_index":988,"sum":160444,"residue":444},{"from_index":988,"to_index":188,"sum":155194,"residue":794}],"minimal_cycle":[394,444,794],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":394,"start_interval_clock_positions":[188,588],"circle_positions":800,"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":[189,589,989],"clock_positions":[189,589,989],"native_values":[514,489,789],"rotation_degrees":56.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,489,789],"beta":{"interval_sums":[158936,160486,154786],"interval_residues":[536,486,386],"display_cycle":[536,486,386],"intervals":[{"from_index":189,"to_index":589,"sum":158936,"residue":536},{"from_index":589,"to_index":989,"sum":160486,"residue":486},{"from_index":989,"to_index":189,"sum":154786,"residue":386}],"minimal_cycle":[536,486,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":536,"start_interval_clock_positions":[189,589],"circle_positions":800,"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":[190,590,990],"clock_positions":[190,590,990],"native_values":[95,345,520],"rotation_degrees":57.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,345,520],"beta":{"interval_sums":[159330,160930,154780],"interval_residues":[130,130,380],"display_cycle":[130,130,380],"intervals":[{"from_index":190,"to_index":590,"sum":159330,"residue":130},{"from_index":590,"to_index":990,"sum":160930,"residue":130},{"from_index":990,"to_index":190,"sum":154780,"residue":380}],"minimal_cycle":[130,130,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[190,590],"circle_positions":800,"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":[191,591,991],"clock_positions":[191,591,991],"native_values":[609,34,509],"rotation_degrees":57.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,34,509],"beta":{"interval_sums":[159066,161416,154366],"interval_residues":[666,616,766],"display_cycle":[666,616,766],"intervals":[{"from_index":191,"to_index":591,"sum":159066,"residue":666},{"from_index":591,"to_index":991,"sum":161416,"residue":616},{"from_index":991,"to_index":191,"sum":154366,"residue":766}],"minimal_cycle":[666,616,766],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":666,"start_interval_clock_positions":[191,591],"circle_positions":800,"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":[192,592,992],"clock_positions":[192,592,992],"native_values":[704,379,229],"rotation_degrees":57.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,379,229],"beta":{"interval_sums":[158396,161546,154746],"interval_residues":[796,746,346],"display_cycle":[796,746,346],"intervals":[{"from_index":192,"to_index":592,"sum":158396,"residue":796},{"from_index":592,"to_index":992,"sum":161546,"residue":746},{"from_index":992,"to_index":192,"sum":154746,"residue":346}],"minimal_cycle":[796,746,346],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[192,592],"circle_positions":800,"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":[193,593,993],"clock_positions":[193,593,993],"native_values":[513,413,738],"rotation_degrees":57.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,413,738],"beta":{"interval_sums":[158262,161362,154712],"interval_residues":[662,562,312],"display_cycle":[662,562,312],"intervals":[{"from_index":193,"to_index":593,"sum":158262,"residue":662},{"from_index":593,"to_index":993,"sum":161362,"residue":562},{"from_index":993,"to_index":193,"sum":154712,"residue":312}],"minimal_cycle":[662,562,312],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":662,"start_interval_clock_positions":[193,593],"circle_positions":800,"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":[194,594,994],"clock_positions":[194,594,994],"native_values":[417,792,167],"rotation_degrees":58.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,792,167],"beta":{"interval_sums":[158258,161308,155058],"interval_residues":[658,508,658],"display_cycle":[658,508,658],"intervals":[{"from_index":194,"to_index":594,"sum":158258,"residue":658},{"from_index":594,"to_index":994,"sum":161308,"residue":508},{"from_index":994,"to_index":194,"sum":155058,"residue":658}],"minimal_cycle":[658,508,658],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[194,594],"circle_positions":800,"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":[195,595,995],"clock_positions":[195,595,995],"native_values":[130,405,105],"rotation_degrees":58.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,405,105],"beta":{"interval_sums":[158920,161070,155370],"interval_residues":[520,270,170],"display_cycle":[520,270,170],"intervals":[{"from_index":195,"to_index":595,"sum":158920,"residue":520},{"from_index":595,"to_index":995,"sum":161070,"residue":270},{"from_index":995,"to_index":195,"sum":155370,"residue":170}],"minimal_cycle":[520,270,170],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":520,"start_interval_clock_positions":[195,595],"circle_positions":800,"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":[196,596,996],"clock_positions":[196,596,996],"native_values":[547,397,272],"rotation_degrees":58.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,397,272],"beta":{"interval_sums":[158778,160778,155228],"interval_residues":[378,778,28],"display_cycle":[378,778,28],"intervals":[{"from_index":196,"to_index":596,"sum":158778,"residue":378},{"from_index":596,"to_index":996,"sum":160778,"residue":778},{"from_index":996,"to_index":196,"sum":155228,"residue":28}],"minimal_cycle":[378,778,28],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[196,596],"circle_positions":800,"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":[197,597,997],"clock_positions":[197,597,997],"native_values":[677,2,377],"rotation_degrees":59.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,2,377],"beta":{"interval_sums":[158498,161048,155398],"interval_residues":[98,248,198],"display_cycle":[98,248,198],"intervals":[{"from_index":197,"to_index":597,"sum":158498,"residue":98},{"from_index":597,"to_index":997,"sum":161048,"residue":248},{"from_index":997,"to_index":197,"sum":155398,"residue":198}],"minimal_cycle":[98,248,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[197,597],"circle_positions":800,"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":[198,598,998],"clock_positions":[198,598,998],"native_values":[424,399,649],"rotation_degrees":59.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,399,649],"beta":{"interval_sums":[158076,161026,155426],"interval_residues":[476,226,226],"display_cycle":[476,226,226],"intervals":[{"from_index":198,"to_index":598,"sum":158076,"residue":476},{"from_index":598,"to_index":998,"sum":161026,"residue":226},{"from_index":998,"to_index":198,"sum":155426,"residue":226}],"minimal_cycle":[476,226,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[198,598],"circle_positions":800,"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":[199,599,999],"clock_positions":[199,599,999],"native_values":[301,401,226],"rotation_degrees":59.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,401,226],"beta":{"interval_sums":[158174,161274,155624],"interval_residues":[574,474,424],"display_cycle":[574,474,424],"intervals":[{"from_index":199,"to_index":599,"sum":158174,"residue":574},{"from_index":599,"to_index":999,"sum":161274,"residue":474},{"from_index":999,"to_index":199,"sum":155624,"residue":424}],"minimal_cycle":[574,474,424],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":574,"start_interval_clock_positions":[199,599],"circle_positions":800,"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":[200,600,1000],"clock_positions":[200,600,1000],"native_values":[725,800,75],"rotation_degrees":60.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,800,75],"beta":{"interval_sums":[157850,161500,155850],"interval_residues":[250,700,650],"display_cycle":[250,700,650],"intervals":[{"from_index":200,"to_index":600,"sum":157850,"residue":250},{"from_index":600,"to_index":1000,"sum":161500,"residue":700},{"from_index":1000,"to_index":200,"sum":155850,"residue":650}],"minimal_cycle":[250,700,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":250,"start_interval_clock_positions":[200,600],"circle_positions":800,"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":[201,601,1001],"clock_positions":[201,601,1001],"native_values":[226,401,301],"rotation_degrees":60.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,401,301],"beta":{"interval_sums":[157624,161174,156274],"interval_residues":[24,374,274],"display_cycle":[24,374,274],"intervals":[{"from_index":201,"to_index":601,"sum":157624,"residue":24},{"from_index":601,"to_index":1001,"sum":161174,"residue":374},{"from_index":1001,"to_index":201,"sum":156274,"residue":274}],"minimal_cycle":[24,374,274],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":24,"start_interval_clock_positions":[201,601],"circle_positions":800,"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":[202,602,1002],"clock_positions":[202,602,1002],"native_values":[151,401,376],"rotation_degrees":60.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[151,401,376],"beta":{"interval_sums":[157874,161074,156124],"interval_residues":[274,274,124],"display_cycle":[274,274,124],"intervals":[{"from_index":202,"to_index":602,"sum":157874,"residue":274},{"from_index":602,"to_index":1002,"sum":161074,"residue":274},{"from_index":1002,"to_index":202,"sum":156124,"residue":124}],"minimal_cycle":[274,274,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":274,"start_interval_clock_positions":[202,602],"circle_positions":800,"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":[203,603,1003],"clock_positions":[203,603,1003],"native_values":[377,2,677],"rotation_degrees":60.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,2,677],"beta":{"interval_sums":[157898,161448,155598],"interval_residues":[298,648,398],"display_cycle":[298,648,398],"intervals":[{"from_index":203,"to_index":603,"sum":157898,"residue":298},{"from_index":603,"to_index":1003,"sum":161448,"residue":648},{"from_index":1003,"to_index":203,"sum":155598,"residue":398}],"minimal_cycle":[298,648,398],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[203,603],"circle_positions":800,"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":[204,604,1004],"clock_positions":[204,604,1004],"native_values":[528,403,253],"rotation_degrees":61.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[528,403,253],"beta":{"interval_sums":[157372,161722,155722],"interval_residues":[572,122,522],"display_cycle":[572,122,522],"intervals":[{"from_index":204,"to_index":604,"sum":157372,"residue":572},{"from_index":604,"to_index":1004,"sum":161722,"residue":122},{"from_index":1004,"to_index":204,"sum":155722,"residue":522}],"minimal_cycle":[572,122,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[204,604],"circle_positions":800,"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":[205,605,1005],"clock_positions":[205,605,1005],"native_values":[105,405,130],"rotation_degrees":61.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[105,405,130],"beta":{"interval_sums":[157670,161570,156120],"interval_residues":[70,770,120],"display_cycle":[70,770,120],"intervals":[{"from_index":205,"to_index":605,"sum":157670,"residue":70},{"from_index":605,"to_index":1005,"sum":161570,"residue":770},{"from_index":1005,"to_index":205,"sum":156120,"residue":120}],"minimal_cycle":[70,770,120],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[205,605],"circle_positions":800,"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":[206,606,1006],"clock_positions":[206,606,1006],"native_values":[633,8,383],"rotation_degrees":61.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[633,8,383],"beta":{"interval_sums":[157442,161692,155842],"interval_residues":[642,92,642],"display_cycle":[642,92,642],"intervals":[{"from_index":206,"to_index":606,"sum":157442,"residue":642},{"from_index":606,"to_index":1006,"sum":161692,"residue":92},{"from_index":1006,"to_index":206,"sum":155842,"residue":642}],"minimal_cycle":[642,92,642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":642,"start_interval_clock_positions":[206,606],"circle_positions":800,"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":[207,607,1007],"clock_positions":[207,607,1007],"native_values":[738,413,513],"rotation_degrees":62.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,413,513],"beta":{"interval_sums":[156712,161662,155962],"interval_residues":[712,62,762],"display_cycle":[712,62,762],"intervals":[{"from_index":207,"to_index":607,"sum":156712,"residue":712},{"from_index":607,"to_index":1007,"sum":161662,"residue":62},{"from_index":1007,"to_index":207,"sum":155962,"residue":762}],"minimal_cycle":[712,62,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":712,"start_interval_clock_positions":[207,607],"circle_positions":800,"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":[208,608,1008],"clock_positions":[208,608,1008],"native_values":[571,421,96],"rotation_degrees":62.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[571,421,96],"beta":{"interval_sums":[156554,161754,156604],"interval_residues":[554,154,604],"display_cycle":[554,154,604],"intervals":[{"from_index":208,"to_index":608,"sum":156554,"residue":554},{"from_index":608,"to_index":1008,"sum":161754,"residue":154},{"from_index":1008,"to_index":208,"sum":156604,"residue":604}],"minimal_cycle":[554,154,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[208,608],"circle_positions":800,"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":[209,609,1009],"clock_positions":[209,609,1009],"native_values":[509,34,609],"rotation_degrees":62.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,34,609],"beta":{"interval_sums":[156466,161816,156566],"interval_residues":[466,216,566],"display_cycle":[466,216,566],"intervals":[{"from_index":209,"to_index":609,"sum":156466,"residue":466},{"from_index":609,"to_index":1009,"sum":161816,"residue":216},{"from_index":1009,"to_index":209,"sum":156566,"residue":566}],"minimal_cycle":[466,216,566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[209,609],"circle_positions":800,"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":[210,610,1010],"clock_positions":[210,610,1010],"native_values":[280,455,705],"rotation_degrees":63.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[280,455,705],"beta":{"interval_sums":[156220,161970,156370],"interval_residues":[220,370,370],"display_cycle":[220,370,370],"intervals":[{"from_index":210,"to_index":610,"sum":156220,"residue":220},{"from_index":610,"to_index":1010,"sum":161970,"residue":370},{"from_index":1010,"to_index":210,"sum":156370,"residue":370}],"minimal_cycle":[220,370,370],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[210,610],"circle_positions":800,"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":[211,611,1011],"clock_positions":[211,611,1011],"native_values":[789,489,514],"rotation_degrees":63.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[789,489,514],"beta":{"interval_sums":[155886,162186,156136],"interval_residues":[686,586,136],"display_cycle":[686,586,136],"intervals":[{"from_index":211,"to_index":611,"sum":155886,"residue":686},{"from_index":611,"to_index":1011,"sum":162186,"residue":586},{"from_index":1011,"to_index":211,"sum":156136,"residue":136}],"minimal_cycle":[686,586,136],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":686,"start_interval_clock_positions":[211,611],"circle_positions":800,"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":[212,612,1012],"clock_positions":[212,612,1012],"native_values":[269,144,419],"rotation_degrees":63.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[269,144,419],"beta":{"interval_sums":[156106,162556,156506],"interval_residues":[106,156,506],"display_cycle":[106,156,506],"intervals":[{"from_index":212,"to_index":612,"sum":156106,"residue":106},{"from_index":612,"to_index":1012,"sum":162556,"residue":156},{"from_index":1012,"to_index":212,"sum":156506,"residue":506}],"minimal_cycle":[106,156,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":106,"start_interval_clock_positions":[212,612],"circle_positions":800,"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":[213,613,1013],"clock_positions":[213,613,1013],"native_values":[258,633,133],"rotation_degrees":63.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,633,133],"beta":{"interval_sums":[155992,162342,156642],"interval_residues":[792,742,642],"display_cycle":[792,742,642],"intervals":[{"from_index":213,"to_index":613,"sum":155992,"residue":792},{"from_index":613,"to_index":1013,"sum":162342,"residue":742},{"from_index":1013,"to_index":213,"sum":156642,"residue":642}],"minimal_cycle":[792,742,642],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":792,"start_interval_clock_positions":[213,613],"circle_positions":800,"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":[214,614,1014],"clock_positions":[214,614,1014],"native_values":[527,777,552],"rotation_degrees":64.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[527,777,552],"beta":{"interval_sums":[156098,161698,156348],"interval_residues":[98,98,348],"display_cycle":[98,98,348],"intervals":[{"from_index":214,"to_index":614,"sum":156098,"residue":98},{"from_index":614,"to_index":1014,"sum":161698,"residue":98},{"from_index":1014,"to_index":214,"sum":156348,"residue":348}],"minimal_cycle":[98,98,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":98,"start_interval_clock_positions":[214,614],"circle_positions":800,"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":[215,615,1015],"clock_positions":[215,615,1015],"native_values":[785,610,685],"rotation_degrees":64.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[785,610,685],"beta":{"interval_sums":[156090,161640,156190],"interval_residues":[90,40,190],"display_cycle":[90,40,190],"intervals":[{"from_index":215,"to_index":615,"sum":156090,"residue":90},{"from_index":615,"to_index":1015,"sum":161640,"residue":40},{"from_index":1015,"to_index":215,"sum":156190,"residue":190}],"minimal_cycle":[90,40,190],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":90,"start_interval_clock_positions":[215,615],"circle_positions":800,"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":[216,616,1016],"clock_positions":[216,616,1016],"native_values":[512,587,437],"rotation_degrees":64.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[512,587,437],"beta":{"interval_sums":[156188,161738,156538],"interval_residues":[188,138,538],"display_cycle":[188,138,538],"intervals":[{"from_index":216,"to_index":616,"sum":156188,"residue":188},{"from_index":616,"to_index":1016,"sum":161738,"residue":138},{"from_index":1016,"to_index":216,"sum":156538,"residue":538}],"minimal_cycle":[188,138,538],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[216,616],"circle_positions":800,"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":[217,617,1017],"clock_positions":[217,617,1017],"native_values":[497,397,322],"rotation_degrees":65.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[497,397,322],"beta":{"interval_sums":[156278,161778,156728],"interval_residues":[278,178,728],"display_cycle":[278,178,728],"intervals":[{"from_index":217,"to_index":617,"sum":156278,"residue":278},{"from_index":617,"to_index":1017,"sum":161778,"residue":178},{"from_index":1017,"to_index":217,"sum":156728,"residue":728}],"minimal_cycle":[278,178,728],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":278,"start_interval_clock_positions":[217,617],"circle_positions":800,"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":[218,618,1018],"clock_positions":[218,618,1018],"native_values":[209,184,759],"rotation_degrees":65.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[209,184,759],"beta":{"interval_sums":[156466,161916,156466],"interval_residues":[466,316,466],"display_cycle":[466,316,466],"intervals":[{"from_index":218,"to_index":618,"sum":156466,"residue":466},{"from_index":618,"to_index":1018,"sum":161916,"residue":316},{"from_index":1018,"to_index":218,"sum":156466,"residue":466}],"minimal_cycle":[466,316,466],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":466,"start_interval_clock_positions":[218,618],"circle_positions":800,"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":[219,619,1019],"clock_positions":[219,619,1019],"native_values":[706,581,281],"rotation_degrees":65.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,581,281],"beta":{"interval_sums":[155944,162094,156394],"interval_residues":[744,494,394],"display_cycle":[744,494,394],"intervals":[{"from_index":219,"to_index":619,"sum":155944,"residue":744},{"from_index":619,"to_index":1019,"sum":162094,"residue":494},{"from_index":1019,"to_index":219,"sum":156394,"residue":394}],"minimal_cycle":[744,494,394],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":744,"start_interval_clock_positions":[219,619],"circle_positions":800,"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":[220,620,1020],"clock_positions":[220,620,1020],"native_values":[115,765,240],"rotation_degrees":66.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[115,765,240],"beta":{"interval_sums":[156410,161610,156860],"interval_residues":[410,10,60],"display_cycle":[410,10,60],"intervals":[{"from_index":220,"to_index":620,"sum":156410,"residue":410},{"from_index":620,"to_index":1020,"sum":161610,"residue":10},{"from_index":1020,"to_index":220,"sum":156860,"residue":60}],"minimal_cycle":[410,10,60],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[220,620],"circle_positions":800,"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":[221,621,1021],"clock_positions":[221,621,1021],"native_values":[21,546,521],"rotation_degrees":66.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,546,521],"beta":{"interval_sums":[157154,161304,156454],"interval_residues":[354,504,454],"display_cycle":[354,504,454],"intervals":[{"from_index":221,"to_index":621,"sum":157154,"residue":354},{"from_index":621,"to_index":1021,"sum":161304,"residue":504},{"from_index":1021,"to_index":221,"sum":156454,"residue":454}],"minimal_cycle":[354,504,454],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":354,"start_interval_clock_positions":[221,621],"circle_positions":800,"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":[222,622,1022],"clock_positions":[222,622,1022],"native_values":[136,511,761],"rotation_degrees":66.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[136,511,761],"beta":{"interval_sums":[157564,161314,155714],"interval_residues":[764,514,514],"display_cycle":[764,514,514],"intervals":[{"from_index":222,"to_index":622,"sum":157564,"residue":764},{"from_index":622,"to_index":1022,"sum":161314,"residue":514},{"from_index":1022,"to_index":222,"sum":155714,"residue":514}],"minimal_cycle":[764,514,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[222,622],"circle_positions":800,"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":[223,623,1023],"clock_positions":[223,623,1023],"native_values":[157,257,482],"rotation_degrees":66.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[157,257,482],"beta":{"interval_sums":[157918,161818,155368],"interval_residues":[318,218,168],"display_cycle":[318,218,168],"intervals":[{"from_index":223,"to_index":623,"sum":157918,"residue":318},{"from_index":623,"to_index":1023,"sum":161818,"residue":218},{"from_index":1023,"to_index":223,"sum":155368,"residue":168}],"minimal_cycle":[318,218,168],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":318,"start_interval_clock_positions":[223,623],"circle_positions":800,"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":[224,624,1024],"clock_positions":[224,624,1024],"native_values":[293,768,443],"rotation_degrees":67.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[293,768,443],"beta":{"interval_sums":[157882,161532,155082],"interval_residues":[282,732,682],"display_cycle":[282,732,682],"intervals":[{"from_index":224,"to_index":624,"sum":157882,"residue":282},{"from_index":624,"to_index":1024,"sum":161532,"residue":732},{"from_index":1024,"to_index":224,"sum":155082,"residue":682}],"minimal_cycle":[282,732,682],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":282,"start_interval_clock_positions":[224,624],"circle_positions":800,"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":[225,625,1025],"clock_positions":[225,625,1025],"native_values":[450,225,125],"rotation_degrees":67.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,225,125],"beta":{"interval_sums":[158200,161750,155250],"interval_residues":[600,150,50],"display_cycle":[600,150,50],"intervals":[{"from_index":225,"to_index":625,"sum":158200,"residue":600},{"from_index":625,"to_index":1025,"sum":161750,"residue":150},{"from_index":1025,"to_index":225,"sum":155250,"residue":50}],"minimal_cycle":[600,150,50],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":600,"start_interval_clock_positions":[225,625],"circle_positions":800,"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":[226,626,1026],"clock_positions":[226,626,1026],"native_values":[743,193,568],"rotation_degrees":67.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[743,193,568],"beta":{"interval_sums":[157682,161682,155132],"interval_residues":[82,82,732],"display_cycle":[82,82,732],"intervals":[{"from_index":226,"to_index":626,"sum":157682,"residue":82},{"from_index":626,"to_index":1026,"sum":161682,"residue":82},{"from_index":1026,"to_index":226,"sum":155132,"residue":732}],"minimal_cycle":[82,82,732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":82,"start_interval_clock_positions":[226,626],"circle_positions":800,"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":[227,627,1027],"clock_positions":[227,627,1027],"native_values":[393,418,693],"rotation_degrees":68.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,418,693],"beta":{"interval_sums":[157482,161832,155182],"interval_residues":[682,232,782],"display_cycle":[682,232,782],"intervals":[{"from_index":227,"to_index":627,"sum":157482,"residue":682},{"from_index":627,"to_index":1027,"sum":161832,"residue":232},{"from_index":1027,"to_index":227,"sum":155182,"residue":782}],"minimal_cycle":[682,232,782],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":682,"start_interval_clock_positions":[227,627],"circle_positions":800,"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":[228,628,1028],"clock_positions":[228,628,1028],"native_values":[336,611,461],"rotation_degrees":68.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[336,611,461],"beta":{"interval_sums":[157564,161914,155114],"interval_residues":[764,314,714],"display_cycle":[764,314,714],"intervals":[{"from_index":228,"to_index":628,"sum":157564,"residue":764},{"from_index":628,"to_index":1028,"sum":161914,"residue":314},{"from_index":1028,"to_index":228,"sum":155114,"residue":714}],"minimal_cycle":[764,314,714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[228,628],"circle_positions":800,"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":[229,629,1029],"clock_positions":[229,629,1029],"native_values":[729,229,354],"rotation_degrees":68.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,229,354],"beta":{"interval_sums":[157446,162146,155096],"interval_residues":[646,546,696],"display_cycle":[646,546,696],"intervals":[{"from_index":229,"to_index":629,"sum":157446,"residue":646},{"from_index":629,"to_index":1029,"sum":162146,"residue":546},{"from_index":1029,"to_index":229,"sum":155096,"residue":696}],"minimal_cycle":[646,546,696],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[229,629],"circle_positions":800,"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":[230,630,1030],"clock_positions":[230,630,1030],"native_values":[265,40,15],"rotation_degrees":69.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,40,15],"beta":{"interval_sums":[157410,162460,155810],"interval_residues":[610,60,610],"display_cycle":[610,60,610],"intervals":[{"from_index":230,"to_index":630,"sum":157410,"residue":610},{"from_index":630,"to_index":1030,"sum":162460,"residue":60},{"from_index":1030,"to_index":230,"sum":155810,"residue":610}],"minimal_cycle":[610,60,610],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[230,630],"circle_positions":800,"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":[231,631,1031],"clock_positions":[231,631,1031],"native_values":[194,269,369],"rotation_degrees":69.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,269,369],"beta":{"interval_sums":[157256,162206,155706],"interval_residues":[456,606,506],"display_cycle":[456,606,506],"intervals":[{"from_index":231,"to_index":631,"sum":157256,"residue":456},{"from_index":631,"to_index":1031,"sum":162206,"residue":606},{"from_index":1031,"to_index":231,"sum":155706,"residue":506}],"minimal_cycle":[456,606,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":456,"start_interval_clock_positions":[231,631],"circle_positions":800,"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":[232,632,1032],"clock_positions":[232,632,1032],"native_values":[459,309,384],"rotation_degrees":69.6,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[459,309,384],"beta":{"interval_sums":[157066,162266,155516],"interval_residues":[266,666,316],"display_cycle":[266,666,316],"intervals":[{"from_index":232,"to_index":632,"sum":157066,"residue":266},{"from_index":632,"to_index":1032,"sum":162266,"residue":666},{"from_index":1032,"to_index":232,"sum":155516,"residue":316}],"minimal_cycle":[266,666,316],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[232,632],"circle_positions":800,"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":[233,633,1033],"clock_positions":[233,633,1033],"native_values":[653,578,753],"rotation_degrees":69.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[653,578,753],"beta":{"interval_sums":[156722,162072,155222],"interval_residues":[722,472,22],"display_cycle":[722,472,22],"intervals":[{"from_index":233,"to_index":633,"sum":156722,"residue":722},{"from_index":633,"to_index":1033,"sum":162072,"residue":472},{"from_index":1033,"to_index":233,"sum":155222,"residue":22}],"minimal_cycle":[722,472,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[233,633],"circle_positions":800,"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":[234,634,1034],"clock_positions":[234,634,1034],"native_values":[312,87,337],"rotation_degrees":70.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[312,87,337],"beta":{"interval_sums":[156988,162738,155538],"interval_residues":[188,338,338],"display_cycle":[188,338,338],"intervals":[{"from_index":234,"to_index":634,"sum":156988,"residue":188},{"from_index":634,"to_index":1034,"sum":162738,"residue":338},{"from_index":1034,"to_index":234,"sum":155538,"residue":338}],"minimal_cycle":[188,338,338],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":188,"start_interval_clock_positions":[234,634],"circle_positions":800,"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":[235,635,1035],"clock_positions":[235,635,1035],"native_values":[165,665,290],"rotation_degrees":70.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,665,290],"beta":{"interval_sums":[156910,162410,155560],"interval_residues":[110,10,360],"display_cycle":[110,10,360],"intervals":[{"from_index":235,"to_index":635,"sum":156910,"residue":110},{"from_index":635,"to_index":1035,"sum":162410,"residue":10},{"from_index":1035,"to_index":235,"sum":155560,"residue":360}],"minimal_cycle":[110,10,360],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":110,"start_interval_clock_positions":[235,635],"circle_positions":800,"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":[236,636,1036],"clock_positions":[236,636,1036],"native_values":[477,752,627],"rotation_degrees":70.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[477,752,627],"beta":{"interval_sums":[157098,161948,155098],"interval_residues":[298,348,698],"display_cycle":[298,348,698],"intervals":[{"from_index":236,"to_index":636,"sum":157098,"residue":298},{"from_index":636,"to_index":1036,"sum":161948,"residue":348},{"from_index":1036,"to_index":236,"sum":155098,"residue":698}],"minimal_cycle":[298,348,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":298,"start_interval_clock_positions":[236,636],"circle_positions":800,"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":[237,637,1037],"clock_positions":[237,637,1037],"native_values":[642,617,117],"rotation_degrees":71.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,617,117],"beta":{"interval_sums":[157208,161958,155458],"interval_residues":[408,358,258],"display_cycle":[408,358,258],"intervals":[{"from_index":237,"to_index":637,"sum":157208,"residue":408},{"from_index":637,"to_index":1037,"sum":161958,"residue":358},{"from_index":1037,"to_index":237,"sum":155458,"residue":258}],"minimal_cycle":[408,358,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":408,"start_interval_clock_positions":[237,637],"circle_positions":800,"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":[238,638,1038],"clock_positions":[238,638,1038],"native_values":[319,569,744],"rotation_degrees":71.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[319,569,744],"beta":{"interval_sums":[157506,161506,155356],"interval_residues":[706,706,156],"display_cycle":[706,706,156],"intervals":[{"from_index":238,"to_index":638,"sum":157506,"residue":706},{"from_index":638,"to_index":1038,"sum":161506,"residue":706},{"from_index":1038,"to_index":238,"sum":155356,"residue":156}],"minimal_cycle":[706,706,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[238,638],"circle_positions":800,"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":[239,639,1039],"clock_positions":[239,639,1039],"native_values":[161,386,61],"rotation_degrees":71.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[161,386,61],"beta":{"interval_sums":[157914,161864,155614],"interval_residues":[314,264,414],"display_cycle":[314,264,414],"intervals":[{"from_index":239,"to_index":639,"sum":157914,"residue":314},{"from_index":639,"to_index":1039,"sum":161864,"residue":264},{"from_index":1039,"to_index":239,"sum":155614,"residue":414}],"minimal_cycle":[314,264,414],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":314,"start_interval_clock_positions":[239,639],"circle_positions":800,"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":[240,640,1040],"clock_positions":[240,640,1040],"native_values":[480,155,5],"rotation_degrees":72.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[480,155,5],"beta":{"interval_sums":[157820,161770,155770],"interval_residues":[220,170,570],"display_cycle":[220,170,570],"intervals":[{"from_index":240,"to_index":640,"sum":157820,"residue":220},{"from_index":640,"to_index":1040,"sum":161770,"residue":170},{"from_index":1040,"to_index":240,"sum":155770,"residue":570}],"minimal_cycle":[220,170,570],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":220,"start_interval_clock_positions":[240,640],"circle_positions":800,"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":[241,641,1041],"clock_positions":[241,641,1041],"native_values":[641,541,66],"rotation_degrees":72.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[641,541,66],"beta":{"interval_sums":[157334,161234,156184],"interval_residues":[534,434,184],"display_cycle":[534,434,184],"intervals":[{"from_index":241,"to_index":641,"sum":157334,"residue":534},{"from_index":641,"to_index":1041,"sum":161234,"residue":434},{"from_index":1041,"to_index":241,"sum":156184,"residue":184}],"minimal_cycle":[534,434,184],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[241,641],"circle_positions":800,"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":[242,642,1042],"clock_positions":[242,642,1042],"native_values":[321,696,71],"rotation_degrees":72.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[321,696,71],"beta":{"interval_sums":[157554,160604,156754],"interval_residues":[754,604,754],"display_cycle":[754,604,754],"intervals":[{"from_index":242,"to_index":642,"sum":157554,"residue":754},{"from_index":642,"to_index":1042,"sum":160604,"residue":604},{"from_index":1042,"to_index":242,"sum":156754,"residue":754}],"minimal_cycle":[754,604,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":754,"start_interval_clock_positions":[242,642],"circle_positions":800,"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":[243,643,1043],"clock_positions":[243,643,1043],"native_values":[162,437,137],"rotation_degrees":72.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,437,137],"beta":{"interval_sums":[158088,160238,156938],"interval_residues":[488,238,138],"display_cycle":[488,238,138],"intervals":[{"from_index":243,"to_index":643,"sum":158088,"residue":488},{"from_index":643,"to_index":1043,"sum":160238,"residue":238},{"from_index":1043,"to_index":243,"sum":156938,"residue":138}],"minimal_cycle":[488,238,138],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":488,"start_interval_clock_positions":[243,643],"circle_positions":800,"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":[244,644,1044],"clock_positions":[244,644,1044],"native_values":[483,333,208],"rotation_degrees":73.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[483,333,208],"beta":{"interval_sums":[158042,160042,156892],"interval_residues":[442,42,92],"display_cycle":[442,42,92],"intervals":[{"from_index":244,"to_index":644,"sum":158042,"residue":442},{"from_index":644,"to_index":1044,"sum":160042,"residue":42},{"from_index":1044,"to_index":244,"sum":156892,"residue":92}],"minimal_cycle":[442,42,92],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[244,644],"circle_positions":800,"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":[245,645,1045],"clock_positions":[245,645,1045],"native_values":[645,770,345],"rotation_degrees":73.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[645,770,345],"beta":{"interval_sums":[157730,159480,157030],"interval_residues":[130,280,230],"display_cycle":[130,280,230],"intervals":[{"from_index":245,"to_index":645,"sum":157730,"residue":130},{"from_index":645,"to_index":1045,"sum":159480,"residue":280},{"from_index":1045,"to_index":245,"sum":157030,"residue":230}],"minimal_cycle":[130,280,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":130,"start_interval_clock_positions":[245,645],"circle_positions":800,"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":[246,646,1046],"clock_positions":[246,646,1046],"native_values":[328,303,553],"rotation_degrees":73.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[328,303,553],"beta":{"interval_sums":[158172,159522,157122],"interval_residues":[572,322,322],"display_cycle":[572,322,322],"intervals":[{"from_index":246,"to_index":646,"sum":158172,"residue":572},{"from_index":646,"to_index":1046,"sum":159522,"residue":322},{"from_index":1046,"to_index":246,"sum":157122,"residue":322}],"minimal_cycle":[572,322,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":572,"start_interval_clock_positions":[246,646],"circle_positions":800,"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":[247,647,1047],"clock_positions":[247,647,1047],"native_values":[173,273,98],"rotation_degrees":74.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,273,98],"beta":{"interval_sums":[158302,159802,157352],"interval_residues":[702,602,552],"display_cycle":[702,602,552],"intervals":[{"from_index":247,"to_index":647,"sum":158302,"residue":702},{"from_index":647,"to_index":1047,"sum":159802,"residue":602},{"from_index":1047,"to_index":247,"sum":157352,"residue":552}],"minimal_cycle":[702,602,552],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":702,"start_interval_clock_positions":[247,647],"circle_positions":800,"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":[248,648,1048],"clock_positions":[248,648,1048],"native_values":[501,576,651],"rotation_degrees":74.4,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[501,576,651],"beta":{"interval_sums":[158074,159324,156874],"interval_residues":[474,124,74],"display_cycle":[474,124,74],"intervals":[{"from_index":248,"to_index":648,"sum":158074,"residue":474},{"from_index":648,"to_index":1048,"sum":159324,"residue":124},{"from_index":1048,"to_index":248,"sum":156874,"residue":74}],"minimal_cycle":[474,124,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":474,"start_interval_clock_positions":[248,648],"circle_positions":800,"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":[249,649,1049],"clock_positions":[249,649,1049],"native_values":[674,49,749],"rotation_degrees":74.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[674,49,749],"beta":{"interval_sums":[157976,159926,156626],"interval_residues":[376,726,626],"display_cycle":[376,726,626],"intervals":[{"from_index":249,"to_index":649,"sum":157976,"residue":376},{"from_index":649,"to_index":1049,"sum":159926,"residue":726},{"from_index":1049,"to_index":249,"sum":156626,"residue":626}],"minimal_cycle":[376,726,626],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":376,"start_interval_clock_positions":[249,649],"circle_positions":800,"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":[250,650,1050],"clock_positions":[250,650,1050],"native_values":[375,625,600],"rotation_degrees":75.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[375,625,600],"beta":{"interval_sums":[157650,160050,156700],"interval_residues":[50,50,700],"display_cycle":[50,50,700],"intervals":[{"from_index":250,"to_index":650,"sum":157650,"residue":50},{"from_index":650,"to_index":1050,"sum":160050,"residue":50},{"from_index":1050,"to_index":250,"sum":156700,"residue":700}],"minimal_cycle":[50,50,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":50,"start_interval_clock_positions":[250,650],"circle_positions":800,"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":[251,651,1051],"clock_positions":[251,651,1051],"native_values":[249,674,549],"rotation_degrees":75.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,674,549],"beta":{"interval_sums":[158026,159976,156526],"interval_residues":[426,776,526],"display_cycle":[426,776,526],"intervals":[{"from_index":251,"to_index":651,"sum":158026,"residue":426},{"from_index":651,"to_index":1051,"sum":159976,"residue":776},{"from_index":1051,"to_index":251,"sum":156526,"residue":526}],"minimal_cycle":[426,776,526],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[251,651],"circle_positions":800,"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":[252,652,1052],"clock_positions":[252,652,1052],"native_values":[624,499,349],"rotation_degrees":75.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[624,499,349],"beta":{"interval_sums":[158076,160026,156426],"interval_residues":[476,26,426],"display_cycle":[476,26,426],"intervals":[{"from_index":252,"to_index":652,"sum":158076,"residue":476},{"from_index":652,"to_index":1052,"sum":160026,"residue":26},{"from_index":1052,"to_index":252,"sum":156426,"residue":426}],"minimal_cycle":[476,26,426],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":476,"start_interval_clock_positions":[252,652],"circle_positions":800,"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":[253,653,1053],"clock_positions":[253,653,1053],"native_values":[73,373,98],"rotation_degrees":75.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,373,98],"beta":{"interval_sums":[158502,160002,156952],"interval_residues":[102,2,152],"display_cycle":[102,2,152],"intervals":[{"from_index":253,"to_index":653,"sum":158502,"residue":102},{"from_index":653,"to_index":1053,"sum":160002,"residue":2},{"from_index":1053,"to_index":253,"sum":156952,"residue":152}],"minimal_cycle":[102,2,152],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[253,653],"circle_positions":800,"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":[254,654,1054],"clock_positions":[254,654,1054],"native_values":[697,72,447],"rotation_degrees":76.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[697,72,447],"beta":{"interval_sums":[158178,160028,156578],"interval_residues":[578,28,578],"display_cycle":[578,28,578],"intervals":[{"from_index":254,"to_index":654,"sum":158178,"residue":578},{"from_index":654,"to_index":1054,"sum":160028,"residue":28},{"from_index":1054,"to_index":254,"sum":156578,"residue":578}],"minimal_cycle":[578,28,578],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[254,654],"circle_positions":800,"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":[255,655,1055],"clock_positions":[255,655,1055],"native_values":[770,445,545],"rotation_degrees":76.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[770,445,545],"beta":{"interval_sums":[157480,160030,156730],"interval_residues":[680,30,730],"display_cycle":[680,30,730],"intervals":[{"from_index":255,"to_index":655,"sum":157480,"residue":680},{"from_index":655,"to_index":1055,"sum":160030,"residue":30},{"from_index":1055,"to_index":255,"sum":156730,"residue":730}],"minimal_cycle":[680,30,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":680,"start_interval_clock_positions":[255,655],"circle_positions":800,"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":[256,656,1056],"clock_positions":[256,656,1056],"native_values":[667,517,192],"rotation_degrees":76.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[667,517,192],"beta":{"interval_sums":[157258,160058,157308],"interval_residues":[458,58,508],"display_cycle":[458,58,508],"intervals":[{"from_index":256,"to_index":656,"sum":157258,"residue":458},{"from_index":656,"to_index":1056,"sum":160058,"residue":58},{"from_index":1056,"to_index":256,"sum":157308,"residue":508}],"minimal_cycle":[458,58,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[256,656],"circle_positions":800,"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":[257,657,1057],"clock_positions":[257,657,1057],"native_values":[637,162,737],"rotation_degrees":77.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[637,162,737],"beta":{"interval_sums":[157138,160088,157238],"interval_residues":[338,88,438],"display_cycle":[338,88,438],"intervals":[{"from_index":257,"to_index":657,"sum":157138,"residue":338},{"from_index":657,"to_index":1057,"sum":160088,"residue":88},{"from_index":1057,"to_index":257,"sum":157238,"residue":438}],"minimal_cycle":[338,88,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":338,"start_interval_clock_positions":[257,657],"circle_positions":800,"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":[258,658,1058],"clock_positions":[258,658,1058],"native_values":[504,679,129],"rotation_degrees":77.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[504,679,129],"beta":{"interval_sums":[156796,160146,157746],"interval_residues":[796,146,146],"display_cycle":[796,146,146],"intervals":[{"from_index":258,"to_index":658,"sum":156796,"residue":796},{"from_index":658,"to_index":1058,"sum":160146,"residue":146},{"from_index":1058,"to_index":258,"sum":157746,"residue":146}],"minimal_cycle":[796,146,146],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":796,"start_interval_clock_positions":[258,658],"circle_positions":800,"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":[259,659,1059],"clock_positions":[259,659,1059],"native_values":[341,41,66],"rotation_degrees":77.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[341,41,66],"beta":{"interval_sums":[157134,160234,158184],"interval_residues":[334,234,584],"display_cycle":[334,234,584],"intervals":[{"from_index":259,"to_index":659,"sum":157134,"residue":334},{"from_index":659,"to_index":1059,"sum":160234,"residue":234},{"from_index":1059,"to_index":259,"sum":158184,"residue":584}],"minimal_cycle":[334,234,584],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":334,"start_interval_clock_positions":[259,659],"circle_positions":800,"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":[260,660,1060],"clock_positions":[260,660,1060],"native_values":[45,720,195],"rotation_degrees":78.0,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[45,720,195],"beta":{"interval_sums":[157130,159580,158330],"interval_residues":[330,380,730],"display_cycle":[330,380,730],"intervals":[{"from_index":260,"to_index":660,"sum":157130,"residue":330},{"from_index":660,"to_index":1060,"sum":159580,"residue":380},{"from_index":1060,"to_index":260,"sum":158330,"residue":730}],"minimal_cycle":[330,380,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":330,"start_interval_clock_positions":[260,660],"circle_positions":800,"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":[261,661,1061],"clock_positions":[261,661,1061],"native_values":[386,761,261],"rotation_degrees":78.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,761,261],"beta":{"interval_sums":[157464,159014,158114],"interval_residues":[664,614,514],"display_cycle":[664,614,514],"intervals":[{"from_index":261,"to_index":661,"sum":157464,"residue":664},{"from_index":661,"to_index":1061,"sum":159014,"residue":614},{"from_index":1061,"to_index":261,"sum":158114,"residue":514}],"minimal_cycle":[664,614,514],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":664,"start_interval_clock_positions":[261,661],"circle_positions":800,"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":[262,662,1062],"clock_positions":[262,662,1062],"native_values":[431,681,456],"rotation_degrees":78.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[431,681,456],"beta":{"interval_sums":[157794,158594,158044],"interval_residues":[194,194,444],"display_cycle":[194,194,444],"intervals":[{"from_index":262,"to_index":662,"sum":157794,"residue":194},{"from_index":662,"to_index":1062,"sum":158594,"residue":194},{"from_index":1062,"to_index":262,"sum":158044,"residue":444}],"minimal_cycle":[194,194,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":194,"start_interval_clock_positions":[262,662],"circle_positions":800,"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":[263,663,1063],"clock_positions":[263,663,1063],"native_values":[17,642,717],"rotation_degrees":78.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[17,642,717],"beta":{"interval_sums":[158458,158408,157758],"interval_residues":[58,8,158],"display_cycle":[58,8,158],"intervals":[{"from_index":263,"to_index":663,"sum":158458,"residue":58},{"from_index":663,"to_index":1063,"sum":158408,"residue":8},{"from_index":1063,"to_index":263,"sum":157758,"residue":158}],"minimal_cycle":[58,8,158],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":58,"start_interval_clock_positions":[263,663],"circle_positions":800,"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":[264,664,1064],"clock_positions":[264,664,1064],"native_values":[448,523,373],"rotation_degrees":79.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[448,523,373],"beta":{"interval_sums":[158652,158602,157402],"interval_residues":[252,202,602],"display_cycle":[252,202,602],"intervals":[{"from_index":264,"to_index":664,"sum":158652,"residue":252},{"from_index":664,"to_index":1064,"sum":158602,"residue":202},{"from_index":1064,"to_index":264,"sum":157402,"residue":602}],"minimal_cycle":[252,202,602],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":252,"start_interval_clock_positions":[264,664],"circle_positions":800,"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":[265,665,1065],"clock_positions":[265,665,1065],"native_values":[465,365,290],"rotation_degrees":79.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[465,365,290],"beta":{"interval_sums":[158710,158610,157560],"interval_residues":[310,210,760],"display_cycle":[310,210,760],"intervals":[{"from_index":265,"to_index":665,"sum":158710,"residue":310},{"from_index":665,"to_index":1065,"sum":158610,"residue":210},{"from_index":1065,"to_index":265,"sum":157560,"residue":760}],"minimal_cycle":[310,210,760],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":310,"start_interval_clock_positions":[265,665],"circle_positions":800,"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":[266,666,1066],"clock_positions":[266,666,1066],"native_values":[113,88,663],"rotation_degrees":79.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[113,88,663],"beta":{"interval_sums":[158962,158812,157362],"interval_residues":[562,412,562],"display_cycle":[562,412,562],"intervals":[{"from_index":266,"to_index":666,"sum":158962,"residue":562},{"from_index":666,"to_index":1066,"sum":158812,"residue":412},{"from_index":1066,"to_index":266,"sum":157362,"residue":562}],"minimal_cycle":[562,412,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":562,"start_interval_clock_positions":[266,666],"circle_positions":800,"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":[267,667,1067],"clock_positions":[267,667,1067],"native_values":[578,453,153],"rotation_degrees":80.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,453,153],"beta":{"interval_sums":[158472,159022,157322],"interval_residues":[72,622,522],"display_cycle":[72,622,522],"intervals":[{"from_index":267,"to_index":667,"sum":158472,"residue":72},{"from_index":667,"to_index":1067,"sum":159022,"residue":622},{"from_index":1067,"to_index":267,"sum":157322,"residue":522}],"minimal_cycle":[72,622,522],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":72,"start_interval_clock_positions":[267,667],"circle_positions":800,"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":[268,668,1068],"clock_positions":[268,668,1068],"native_values":[691,541,16],"rotation_degrees":80.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[691,541,16],"beta":{"interval_sums":[158234,158634,157884],"interval_residues":[634,234,284],"display_cycle":[634,234,284],"intervals":[{"from_index":268,"to_index":668,"sum":158234,"residue":634},{"from_index":668,"to_index":1068,"sum":158634,"residue":234},{"from_index":1068,"to_index":268,"sum":157884,"residue":284}],"minimal_cycle":[634,234,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[268,668],"circle_positions":800,"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":[269,669,1069],"clock_positions":[269,669,1069],"native_values":[469,194,169],"rotation_degrees":80.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[469,194,169],"beta":{"interval_sums":[158306,158456,158406],"interval_residues":[706,56,6],"display_cycle":[706,56,6],"intervals":[{"from_index":269,"to_index":669,"sum":158306,"residue":706},{"from_index":669,"to_index":1069,"sum":158456,"residue":56},{"from_index":1069,"to_index":269,"sum":158406,"residue":6}],"minimal_cycle":[706,56,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":706,"start_interval_clock_positions":[269,669],"circle_positions":800,"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":[270,670,1070],"clock_positions":[270,670,1070],"native_values":[360,735,185],"rotation_degrees":81.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[360,735,185],"beta":{"interval_sums":[158140,157890,158690],"interval_residues":[540,290,290],"display_cycle":[540,290,290],"intervals":[{"from_index":270,"to_index":670,"sum":158140,"residue":540},{"from_index":670,"to_index":1070,"sum":157890,"residue":290},{"from_index":1070,"to_index":270,"sum":158690,"residue":290}],"minimal_cycle":[540,290,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[270,670],"circle_positions":800,"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":[271,671,1071],"clock_positions":[271,671,1071],"native_values":[29,129,354],"rotation_degrees":81.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,129,354],"beta":{"interval_sums":[158846,157946,158696],"interval_residues":[446,346,296],"display_cycle":[446,346,296],"intervals":[{"from_index":271,"to_index":671,"sum":158846,"residue":446},{"from_index":671,"to_index":1071,"sum":157946,"residue":346},{"from_index":1071,"to_index":271,"sum":158696,"residue":296}],"minimal_cycle":[446,346,296],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":446,"start_interval_clock_positions":[271,671],"circle_positions":800,"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":[272,672,1072],"clock_positions":[272,672,1072],"native_values":[389,64,539],"rotation_degrees":81.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,64,539],"beta":{"interval_sums":[158586,158236,158186],"interval_residues":[186,636,586],"display_cycle":[186,636,586],"intervals":[{"from_index":272,"to_index":672,"sum":158586,"residue":186},{"from_index":672,"to_index":1072,"sum":158236,"residue":636},{"from_index":1072,"to_index":272,"sum":158186,"residue":586}],"minimal_cycle":[186,636,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[272,672],"circle_positions":800,"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":[273,673,1073],"clock_positions":[273,673,1073],"native_values":[418,193,93],"rotation_degrees":81.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,193,93],"beta":{"interval_sums":[158232,158582,158482],"interval_residues":[632,182,82],"display_cycle":[632,182,82],"intervals":[{"from_index":273,"to_index":673,"sum":158232,"residue":632},{"from_index":673,"to_index":1073,"sum":158582,"residue":182},{"from_index":1073,"to_index":273,"sum":158482,"residue":82}],"minimal_cycle":[632,182,82],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":632,"start_interval_clock_positions":[273,673],"circle_positions":800,"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":[274,674,1074],"clock_positions":[274,674,1074],"native_values":[7,257,632],"rotation_degrees":82.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[7,257,632],"beta":{"interval_sums":[158418,158418,158268],"interval_residues":[18,18,668],"display_cycle":[18,18,668],"intervals":[{"from_index":274,"to_index":674,"sum":158418,"residue":18},{"from_index":674,"to_index":1074,"sum":158418,"residue":18},{"from_index":1074,"to_index":274,"sum":158268,"residue":668}],"minimal_cycle":[18,18,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[274,674],"circle_positions":800,"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":[275,675,1075],"clock_positions":[275,675,1075],"native_values":[425,450,725],"rotation_degrees":82.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[425,450,725],"beta":{"interval_sums":[158250,158600,157550],"interval_residues":[650,200,750],"display_cycle":[650,200,750],"intervals":[{"from_index":275,"to_index":675,"sum":158250,"residue":650},{"from_index":675,"to_index":1075,"sum":158600,"residue":200},{"from_index":1075,"to_index":275,"sum":157550,"residue":750}],"minimal_cycle":[650,200,750],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":650,"start_interval_clock_positions":[275,675],"circle_positions":800,"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":[276,676,1076],"clock_positions":[276,676,1076],"native_values":[432,707,557],"rotation_degrees":82.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[432,707,557],"beta":{"interval_sums":[158268,158618,157418],"interval_residues":[668,218,618],"display_cycle":[668,218,618],"intervals":[{"from_index":276,"to_index":676,"sum":158268,"residue":668},{"from_index":676,"to_index":1076,"sum":158618,"residue":218},{"from_index":1076,"to_index":276,"sum":157418,"residue":618}],"minimal_cycle":[668,218,618],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":668,"start_interval_clock_positions":[276,676],"circle_positions":800,"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":[277,677,1077],"clock_positions":[277,677,1077],"native_values":[57,357,482],"rotation_degrees":83.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[57,357,482],"beta":{"interval_sums":[158918,158818,157368],"interval_residues":[518,418,568],"display_cycle":[518,418,568],"intervals":[{"from_index":277,"to_index":677,"sum":158918,"residue":518},{"from_index":677,"to_index":1077,"sum":158818,"residue":418},{"from_index":1077,"to_index":277,"sum":157368,"residue":568}],"minimal_cycle":[518,418,568],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[277,677],"circle_positions":800,"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":[278,678,1078],"clock_positions":[278,678,1078],"native_values":[489,264,239],"rotation_degrees":83.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[489,264,239],"beta":{"interval_sums":[158786,159036,157186],"interval_residues":[386,636,386],"display_cycle":[386,636,386],"intervals":[{"from_index":278,"to_index":678,"sum":158786,"residue":386},{"from_index":678,"to_index":1078,"sum":159036,"residue":636},{"from_index":1078,"to_index":278,"sum":157186,"residue":386}],"minimal_cycle":[386,636,386],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[278,678],"circle_positions":800,"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":[279,679,1079],"clock_positions":[279,679,1079],"native_values":[546,621,721],"rotation_degrees":83.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,621,721],"beta":{"interval_sums":[158504,158654,156954],"interval_residues":[104,254,154],"display_cycle":[104,254,154],"intervals":[{"from_index":279,"to_index":679,"sum":158504,"residue":104},{"from_index":679,"to_index":1079,"sum":158654,"residue":254},{"from_index":1079,"to_index":279,"sum":156954,"residue":154}],"minimal_cycle":[104,254,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":104,"start_interval_clock_positions":[279,679],"circle_positions":800,"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":[280,680,1080],"clock_positions":[280,680,1080],"native_values":[235,85,160],"rotation_degrees":84.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[235,85,160],"beta":{"interval_sums":[158890,159290,157340],"interval_residues":[490,90,540],"display_cycle":[490,90,540],"intervals":[{"from_index":280,"to_index":680,"sum":158890,"residue":490},{"from_index":680,"to_index":1080,"sum":159290,"residue":90},{"from_index":1080,"to_index":280,"sum":157340,"residue":540}],"minimal_cycle":[490,90,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[280,680],"circle_positions":800,"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":[281,681,1081],"clock_positions":[281,681,1081],"native_values":[781,706,81],"rotation_degrees":84.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[781,706,81],"beta":{"interval_sums":[158194,158744,157494],"interval_residues":[594,344,694],"display_cycle":[594,344,694],"intervals":[{"from_index":281,"to_index":681,"sum":158194,"residue":594},{"from_index":681,"to_index":1081,"sum":158744,"residue":344},{"from_index":1081,"to_index":281,"sum":157494,"residue":694}],"minimal_cycle":[594,344,694],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[281,681],"circle_positions":800,"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":[282,682,1082],"clock_positions":[282,682,1082],"native_values":[216,791,241],"rotation_degrees":84.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[216,791,241],"beta":{"interval_sums":[158684,158034,158034],"interval_residues":[284,434,434],"display_cycle":[284,434,434],"intervals":[{"from_index":282,"to_index":682,"sum":158684,"residue":284},{"from_index":682,"to_index":1082,"sum":158034,"residue":434},{"from_index":1082,"to_index":282,"sum":158034,"residue":434}],"minimal_cycle":[284,434,434],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[282,682],"circle_positions":800,"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":[283,683,1083],"clock_positions":[283,683,1083],"native_values":[197,697,322],"rotation_degrees":84.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[197,697,322],"beta":{"interval_sums":[159278,157578,157928],"interval_residues":[78,778,328],"display_cycle":[78,778,328],"intervals":[{"from_index":283,"to_index":683,"sum":159278,"residue":78},{"from_index":683,"to_index":1083,"sum":157578,"residue":778},{"from_index":1083,"to_index":283,"sum":157928,"residue":328}],"minimal_cycle":[78,778,328],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":78,"start_interval_clock_positions":[283,683],"circle_positions":800,"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":[284,684,1084],"clock_positions":[284,684,1084],"native_values":[413,688,563],"rotation_degrees":85.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[413,688,563],"beta":{"interval_sums":[159562,157212,157562],"interval_residues":[362,412,762],"display_cycle":[362,412,762],"intervals":[{"from_index":284,"to_index":684,"sum":159562,"residue":362},{"from_index":684,"to_index":1084,"sum":157212,"residue":412},{"from_index":1084,"to_index":284,"sum":157562,"residue":762}],"minimal_cycle":[362,412,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":362,"start_interval_clock_positions":[284,684],"circle_positions":800,"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":[285,685,1085],"clock_positions":[285,685,1085],"native_values":[610,585,85],"rotation_degrees":85.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,585,85],"beta":{"interval_sums":[159640,157190,157890],"interval_residues":[440,390,290],"display_cycle":[440,390,290],"intervals":[{"from_index":285,"to_index":685,"sum":159640,"residue":440},{"from_index":685,"to_index":1085,"sum":157190,"residue":390},{"from_index":1085,"to_index":285,"sum":157890,"residue":290}],"minimal_cycle":[440,390,290],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":440,"start_interval_clock_positions":[285,685],"circle_positions":800,"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":[286,686,1086],"clock_positions":[286,686,1086],"native_values":[223,473,648],"rotation_degrees":85.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[223,473,648],"beta":{"interval_sums":[160002,156802,157852],"interval_residues":[2,2,252],"display_cycle":[2,2,252],"intervals":[{"from_index":286,"to_index":686,"sum":160002,"residue":2},{"from_index":686,"to_index":1086,"sum":156802,"residue":2},{"from_index":1086,"to_index":286,"sum":157852,"residue":252}],"minimal_cycle":[2,2,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":2,"start_interval_clock_positions":[286,686],"circle_positions":800,"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":[287,687,1087],"clock_positions":[287,687,1087],"native_values":[33,258,733],"rotation_degrees":86.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[33,258,733],"beta":{"interval_sums":[160442,157192,157342],"interval_residues":[442,392,542],"display_cycle":[442,392,542],"intervals":[{"from_index":287,"to_index":687,"sum":160442,"residue":442},{"from_index":687,"to_index":1087,"sum":157192,"residue":392},{"from_index":1087,"to_index":287,"sum":157342,"residue":542}],"minimal_cycle":[442,392,542],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[287,687],"circle_positions":800,"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":[288,688,1088],"clock_positions":[288,688,1088],"native_values":[256,731,581],"rotation_degrees":86.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[256,731,581],"beta":{"interval_sums":[160444,157194,156794],"interval_residues":[444,394,794],"display_cycle":[444,394,794],"intervals":[{"from_index":288,"to_index":688,"sum":160444,"residue":444},{"from_index":688,"to_index":1088,"sum":157194,"residue":394},{"from_index":1088,"to_index":288,"sum":156794,"residue":794}],"minimal_cycle":[444,394,794],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":444,"start_interval_clock_positions":[288,688],"circle_positions":800,"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":[289,689,1089],"clock_positions":[289,689,1089],"native_values":[289,189,514],"rotation_degrees":86.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[289,189,514],"beta":{"interval_sums":[160886,157586,156536],"interval_residues":[86,786,536],"display_cycle":[86,786,536],"intervals":[{"from_index":289,"to_index":689,"sum":160886,"residue":86},{"from_index":689,"to_index":1089,"sum":157586,"residue":786},{"from_index":1089,"to_index":289,"sum":156536,"residue":536}],"minimal_cycle":[86,786,536],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":86,"start_interval_clock_positions":[289,689],"circle_positions":800,"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":[290,690,1090],"clock_positions":[290,690,1090],"native_values":[545,120,295],"rotation_degrees":87.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,120,295],"beta":{"interval_sums":[160530,157980,156530],"interval_residues":[530,380,530],"display_cycle":[530,380,530],"intervals":[{"from_index":290,"to_index":690,"sum":160530,"residue":530},{"from_index":690,"to_index":1090,"sum":157980,"residue":380},{"from_index":1090,"to_index":290,"sum":156530,"residue":530}],"minimal_cycle":[530,380,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":530,"start_interval_clock_positions":[290,690],"circle_positions":800,"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":[291,691,1091],"clock_positions":[291,691,1091],"native_values":[34,309,9],"rotation_degrees":87.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,309,9],"beta":{"interval_sums":[160616,157966,157066],"interval_residues":[616,366,266],"display_cycle":[616,366,266],"intervals":[{"from_index":291,"to_index":691,"sum":160616,"residue":616},{"from_index":691,"to_index":1091,"sum":157966,"residue":366},{"from_index":1091,"to_index":291,"sum":157066,"residue":266}],"minimal_cycle":[616,366,266],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":616,"start_interval_clock_positions":[291,691],"circle_positions":800,"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":[292,692,1092],"clock_positions":[292,692,1092],"native_values":[579,429,304],"rotation_degrees":87.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[579,429,304],"beta":{"interval_sums":[160346,157546,156796],"interval_residues":[346,746,796],"display_cycle":[346,746,796],"intervals":[{"from_index":292,"to_index":692,"sum":160346,"residue":346},{"from_index":692,"to_index":1092,"sum":157546,"residue":746},{"from_index":1092,"to_index":292,"sum":156796,"residue":796}],"minimal_cycle":[346,746,796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[292,692],"circle_positions":800,"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":[293,693,1093],"clock_positions":[293,693,1093],"native_values":[613,738,313],"rotation_degrees":87.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[613,738,313],"beta":{"interval_sums":[160162,157112,157062],"interval_residues":[162,312,262],"display_cycle":[162,312,262],"intervals":[{"from_index":293,"to_index":693,"sum":160162,"residue":162},{"from_index":693,"to_index":1093,"sum":157112,"residue":312},{"from_index":1093,"to_index":293,"sum":157062,"residue":262}],"minimal_cycle":[162,312,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":162,"start_interval_clock_positions":[293,693],"circle_positions":800,"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":[294,694,1094],"clock_positions":[294,694,1094],"native_values":[392,367,617],"rotation_degrees":88.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[392,367,617],"beta":{"interval_sums":[160508,157058,157058],"interval_residues":[508,258,258],"display_cycle":[508,258,258],"intervals":[{"from_index":294,"to_index":694,"sum":160508,"residue":508},{"from_index":694,"to_index":1094,"sum":157058,"residue":258},{"from_index":1094,"to_index":294,"sum":157058,"residue":258}],"minimal_cycle":[508,258,258],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[294,694],"circle_positions":800,"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":[295,695,1095],"clock_positions":[295,695,1095],"native_values":[205,305,130],"rotation_degrees":88.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[205,305,130],"beta":{"interval_sums":[160670,157370,157320],"interval_residues":[670,570,520],"display_cycle":[670,570,520],"intervals":[{"from_index":295,"to_index":695,"sum":160670,"residue":670},{"from_index":695,"to_index":1095,"sum":157370,"residue":570},{"from_index":1095,"to_index":295,"sum":157320,"residue":520}],"minimal_cycle":[670,570,520],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":670,"start_interval_clock_positions":[295,695],"circle_positions":800,"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":[296,696,1096],"clock_positions":[296,696,1096],"native_values":[597,672,747],"rotation_degrees":88.8,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[597,672,747],"beta":{"interval_sums":[160378,156828,156778],"interval_residues":[378,28,778],"display_cycle":[378,28,778],"intervals":[{"from_index":296,"to_index":696,"sum":160378,"residue":378},{"from_index":696,"to_index":1096,"sum":156828,"residue":28},{"from_index":1096,"to_index":296,"sum":156778,"residue":778}],"minimal_cycle":[378,28,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[296,696],"circle_positions":800,"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":[297,697,1097],"clock_positions":[297,697,1097],"native_values":[2,177,77],"rotation_degrees":89.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,177,77],"beta":{"interval_sums":[161048,157398,157298],"interval_residues":[248,598,498],"display_cycle":[248,598,498],"intervals":[{"from_index":297,"to_index":697,"sum":161048,"residue":248},{"from_index":697,"to_index":1097,"sum":157398,"residue":598},{"from_index":1097,"to_index":297,"sum":157298,"residue":498}],"minimal_cycle":[248,598,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":248,"start_interval_clock_positions":[297,697],"circle_positions":800,"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":[298,698,1098],"clock_positions":[298,698,1098],"native_values":[599,49,24],"rotation_degrees":89.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[599,49,24],"beta":{"interval_sums":[160626,157426,157276],"interval_residues":[626,626,476],"display_cycle":[626,626,476],"intervals":[{"from_index":298,"to_index":698,"sum":160626,"residue":626},{"from_index":698,"to_index":1098,"sum":157426,"residue":626},{"from_index":1098,"to_index":298,"sum":157276,"residue":476}],"minimal_cycle":[626,626,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":626,"start_interval_clock_positions":[298,698],"circle_positions":800,"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":[299,699,1099],"clock_positions":[299,699,1099],"native_values":[601,226,101],"rotation_degrees":89.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,226,101],"beta":{"interval_sums":[160074,157224,157774],"interval_residues":[74,424,174],"display_cycle":[74,424,174],"intervals":[{"from_index":299,"to_index":699,"sum":160074,"residue":74},{"from_index":699,"to_index":1099,"sum":157224,"residue":424},{"from_index":1099,"to_index":299,"sum":157774,"residue":174}],"minimal_cycle":[74,424,174],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":74,"start_interval_clock_positions":[299,699],"circle_positions":800,"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":[300,700,1100],"clock_positions":[300,700,1100],"native_values":[400,275,125],"rotation_degrees":90.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[400,275,125],"beta":{"interval_sums":[159900,157050,158250],"interval_residues":[700,250,650],"display_cycle":[700,250,650],"intervals":[{"from_index":300,"to_index":700,"sum":159900,"residue":700},{"from_index":700,"to_index":1100,"sum":157050,"residue":250},{"from_index":1100,"to_index":300,"sum":158250,"residue":650}],"minimal_cycle":[700,250,650],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":700,"start_interval_clock_positions":[300,700],"circle_positions":800,"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":[301,701,1101],"clock_positions":[301,701,1101],"native_values":[201,501,226],"rotation_degrees":90.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[201,501,226],"beta":{"interval_sums":[159974,156674,158424],"interval_residues":[774,674,24],"display_cycle":[774,674,24],"intervals":[{"from_index":301,"to_index":701,"sum":159974,"residue":774},{"from_index":701,"to_index":1101,"sum":156674,"residue":674},{"from_index":1101,"to_index":301,"sum":158424,"residue":24}],"minimal_cycle":[774,674,24],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":774,"start_interval_clock_positions":[301,701],"circle_positions":800,"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":[302,702,1102],"clock_positions":[302,702,1102],"native_values":[601,776,351],"rotation_degrees":90.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[601,776,351],"beta":{"interval_sums":[159874,156124,158274],"interval_residues":[674,124,674],"display_cycle":[674,124,674],"intervals":[{"from_index":302,"to_index":702,"sum":159874,"residue":674},{"from_index":702,"to_index":1102,"sum":156124,"residue":124},{"from_index":1102,"to_index":302,"sum":158274,"residue":674}],"minimal_cycle":[674,124,674],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":674,"start_interval_clock_positions":[302,702],"circle_positions":800,"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":[303,703,1103],"clock_positions":[303,703,1103],"native_values":[2,477,577],"rotation_degrees":90.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,477,577],"beta":{"interval_sums":[160648,155998,158298],"interval_residues":[648,798,698],"display_cycle":[648,798,698],"intervals":[{"from_index":303,"to_index":703,"sum":160648,"residue":648},{"from_index":703,"to_index":1103,"sum":155998,"residue":798},{"from_index":1103,"to_index":303,"sum":158298,"residue":698}],"minimal_cycle":[648,798,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":648,"start_interval_clock_positions":[303,703],"circle_positions":800,"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":[304,704,1104],"clock_positions":[304,704,1104],"native_values":[603,453,128],"rotation_degrees":91.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[603,453,128],"beta":{"interval_sums":[160522,156122,158172],"interval_residues":[522,122,572],"display_cycle":[522,122,572],"intervals":[{"from_index":304,"to_index":704,"sum":160522,"residue":522},{"from_index":704,"to_index":1104,"sum":156122,"residue":122},{"from_index":1104,"to_index":304,"sum":158172,"residue":572}],"minimal_cycle":[522,122,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":522,"start_interval_clock_positions":[304,704],"circle_positions":800,"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":[305,705,1105],"clock_positions":[305,705,1105],"native_values":[605,130,705],"rotation_degrees":91.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,130,705],"beta":{"interval_sums":[160370,156120,158070],"interval_residues":[370,120,470],"display_cycle":[370,120,470],"intervals":[{"from_index":305,"to_index":705,"sum":160370,"residue":370},{"from_index":705,"to_index":1105,"sum":156120,"residue":120},{"from_index":1105,"to_index":305,"sum":158070,"residue":470}],"minimal_cycle":[370,120,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":370,"start_interval_clock_positions":[305,705],"circle_positions":800,"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":[306,706,1106],"clock_positions":[306,706,1106],"native_values":[408,583,33],"rotation_degrees":91.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[408,583,33],"beta":{"interval_sums":[160092,156242,158642],"interval_residues":[92,242,242],"display_cycle":[92,242,242],"intervals":[{"from_index":306,"to_index":706,"sum":160092,"residue":92},{"from_index":706,"to_index":1106,"sum":156242,"residue":242},{"from_index":1106,"to_index":306,"sum":158642,"residue":242}],"minimal_cycle":[92,242,242],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[306,706],"circle_positions":800,"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":[307,707,1107],"clock_positions":[307,707,1107],"native_values":[213,713,738],"rotation_degrees":92.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[213,713,738],"beta":{"interval_sums":[160462,155562,158312],"interval_residues":[462,362,712],"display_cycle":[462,362,712],"intervals":[{"from_index":307,"to_index":707,"sum":160462,"residue":462},{"from_index":707,"to_index":1107,"sum":155562,"residue":362},{"from_index":1107,"to_index":307,"sum":158312,"residue":712}],"minimal_cycle":[462,362,712],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":462,"start_interval_clock_positions":[307,707],"circle_positions":800,"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":[308,708,1108],"clock_positions":[308,708,1108],"native_values":[621,496,771],"rotation_degrees":92.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[621,496,771],"beta":{"interval_sums":[160554,155804,157754],"interval_residues":[554,604,154],"display_cycle":[554,604,154],"intervals":[{"from_index":308,"to_index":708,"sum":160554,"residue":554},{"from_index":708,"to_index":1108,"sum":155804,"residue":604},{"from_index":1108,"to_index":308,"sum":157754,"residue":154}],"minimal_cycle":[554,604,154],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":554,"start_interval_clock_positions":[308,708],"circle_positions":800,"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":[309,709,1109],"clock_positions":[309,709,1109],"native_values":[34,409,709],"rotation_degrees":92.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,409,709],"beta":{"interval_sums":[161016,156166,157666],"interval_residues":[216,166,66],"display_cycle":[216,166,66],"intervals":[{"from_index":309,"to_index":709,"sum":161016,"residue":216},{"from_index":709,"to_index":1109,"sum":156166,"residue":166},{"from_index":1109,"to_index":309,"sum":157666,"residue":66}],"minimal_cycle":[216,166,66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":216,"start_interval_clock_positions":[309,709],"circle_positions":800,"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":[310,710,1110],"clock_positions":[310,710,1110],"native_values":[655,105,680],"rotation_degrees":93.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[655,105,680],"beta":{"interval_sums":[160770,156770,157020],"interval_residues":[770,770,220],"display_cycle":[770,770,220],"intervals":[{"from_index":310,"to_index":710,"sum":160770,"residue":770},{"from_index":710,"to_index":1110,"sum":156770,"residue":770},{"from_index":1110,"to_index":310,"sum":157020,"residue":220}],"minimal_cycle":[770,770,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":770,"start_interval_clock_positions":[310,710],"circle_positions":800,"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":[311,711,1111],"clock_positions":[311,711,1111],"native_values":[689,514,589],"rotation_degrees":93.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[689,514,589],"beta":{"interval_sums":[160186,156936,157086],"interval_residues":[186,136,286],"display_cycle":[186,136,286],"intervals":[{"from_index":311,"to_index":711,"sum":160186,"residue":186},{"from_index":711,"to_index":1111,"sum":156936,"residue":136},{"from_index":1111,"to_index":311,"sum":157086,"residue":286}],"minimal_cycle":[186,136,286],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":186,"start_interval_clock_positions":[311,711],"circle_positions":800,"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":[312,712,1112],"clock_positions":[312,712,1112],"native_values":[544,619,469],"rotation_degrees":93.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[544,619,469],"beta":{"interval_sums":[160156,156906,157306],"interval_residues":[156,106,506],"display_cycle":[156,106,506],"intervals":[{"from_index":312,"to_index":712,"sum":160156,"residue":156},{"from_index":712,"to_index":1112,"sum":156906,"residue":106},{"from_index":1112,"to_index":312,"sum":157306,"residue":506}],"minimal_cycle":[156,106,506],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":156,"start_interval_clock_positions":[312,712],"circle_positions":800,"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":[313,713,1113],"clock_positions":[313,713,1113],"native_values":[433,333,258],"rotation_degrees":93.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[433,333,258],"beta":{"interval_sums":[160342,157042,157592],"interval_residues":[342,242,792],"display_cycle":[342,242,792],"intervals":[{"from_index":313,"to_index":713,"sum":160342,"residue":342},{"from_index":713,"to_index":1113,"sum":157042,"residue":242},{"from_index":1113,"to_index":313,"sum":157592,"residue":792}],"minimal_cycle":[342,242,792],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":342,"start_interval_clock_positions":[313,713],"circle_positions":800,"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":[314,714,1114],"clock_positions":[314,714,1114],"native_values":[177,152,727],"rotation_degrees":94.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[177,152,727],"beta":{"interval_sums":[160498,157148,157298],"interval_residues":[498,348,498],"display_cycle":[498,348,498],"intervals":[{"from_index":314,"to_index":714,"sum":160498,"residue":498},{"from_index":714,"to_index":1114,"sum":157148,"residue":348},{"from_index":1114,"to_index":314,"sum":157298,"residue":498}],"minimal_cycle":[498,348,498],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":498,"start_interval_clock_positions":[314,714],"circle_positions":800,"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":[315,715,1115],"clock_positions":[315,715,1115],"native_values":[610,485,185],"rotation_degrees":94.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,485,185],"beta":{"interval_sums":[160040,157390,157290],"interval_residues":[40,590,490],"display_cycle":[40,590,490],"intervals":[{"from_index":315,"to_index":715,"sum":160040,"residue":40},{"from_index":715,"to_index":1115,"sum":157390,"residue":590},{"from_index":1115,"to_index":315,"sum":157290,"residue":490}],"minimal_cycle":[40,590,490],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":40,"start_interval_clock_positions":[315,715],"circle_positions":800,"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":[316,716,1116],"clock_positions":[316,716,1116],"native_values":[787,637,112],"rotation_degrees":94.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[787,637,112],"beta":{"interval_sums":[159738,156938,157788],"interval_residues":[538,138,188],"display_cycle":[538,138,188],"intervals":[{"from_index":316,"to_index":716,"sum":159738,"residue":538},{"from_index":716,"to_index":1116,"sum":156938,"residue":138},{"from_index":1116,"to_index":316,"sum":157788,"residue":188}],"minimal_cycle":[538,138,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":538,"start_interval_clock_positions":[316,716],"circle_positions":800,"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":[317,717,1117],"clock_positions":[317,717,1117],"native_values":[597,322,297],"rotation_degrees":95.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[597,322,297],"beta":{"interval_sums":[159778,156728,158278],"interval_residues":[578,728,678],"display_cycle":[578,728,678],"intervals":[{"from_index":317,"to_index":717,"sum":159778,"residue":578},{"from_index":717,"to_index":1117,"sum":156728,"residue":728},{"from_index":1117,"to_index":317,"sum":158278,"residue":678}],"minimal_cycle":[578,728,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":578,"start_interval_clock_positions":[317,717],"circle_positions":800,"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":[318,718,1118],"clock_positions":[318,718,1118],"native_values":[584,159,409],"rotation_degrees":95.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[584,159,409],"beta":{"interval_sums":[159516,156866,158466],"interval_residues":[316,66,66],"display_cycle":[316,66,66],"intervals":[{"from_index":318,"to_index":718,"sum":159516,"residue":316},{"from_index":718,"to_index":1118,"sum":156866,"residue":66},{"from_index":1118,"to_index":318,"sum":158466,"residue":66}],"minimal_cycle":[316,66,66],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":316,"start_interval_clock_positions":[318,718],"circle_positions":800,"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":[319,719,1119],"clock_positions":[319,719,1119],"native_values":[381,481,706],"rotation_degrees":95.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,481,706],"beta":{"interval_sums":[159294,156794,158344],"interval_residues":[94,794,744],"display_cycle":[94,794,744],"intervals":[{"from_index":319,"to_index":719,"sum":159294,"residue":94},{"from_index":719,"to_index":1119,"sum":156794,"residue":794},{"from_index":1119,"to_index":319,"sum":158344,"residue":744}],"minimal_cycle":[94,794,744],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":94,"start_interval_clock_positions":[319,719],"circle_positions":800,"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":[320,720,1120],"clock_positions":[320,720,1120],"native_values":[165,640,315],"rotation_degrees":96.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[165,640,315],"beta":{"interval_sums":[159610,156860,158410],"interval_residues":[410,60,10],"display_cycle":[410,60,10],"intervals":[{"from_index":320,"to_index":720,"sum":159610,"residue":410},{"from_index":720,"to_index":1120,"sum":156860,"residue":60},{"from_index":1120,"to_index":320,"sum":158410,"residue":10}],"minimal_cycle":[410,60,10],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[320,720],"circle_positions":800,"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":[321,721,1121],"clock_positions":[321,721,1121],"native_values":[546,321,221],"rotation_degrees":96.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,321,221],"beta":{"interval_sums":[159704,156854,158354],"interval_residues":[504,54,754],"display_cycle":[504,54,754],"intervals":[{"from_index":321,"to_index":721,"sum":159704,"residue":504},{"from_index":721,"to_index":1121,"sum":156854,"residue":54},{"from_index":1121,"to_index":321,"sum":158354,"residue":754}],"minimal_cycle":[504,54,754],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":504,"start_interval_clock_positions":[321,721],"circle_positions":800,"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":[322,722,1122],"clock_positions":[322,722,1122],"native_values":[711,161,536],"rotation_degrees":96.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[711,161,536],"beta":{"interval_sums":[159314,156914,158364],"interval_residues":[114,114,764],"display_cycle":[114,114,764],"intervals":[{"from_index":322,"to_index":722,"sum":159314,"residue":114},{"from_index":722,"to_index":1122,"sum":156914,"residue":114},{"from_index":1122,"to_index":322,"sum":158364,"residue":764}],"minimal_cycle":[114,114,764],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":114,"start_interval_clock_positions":[322,722],"circle_positions":800,"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":[323,723,1123],"clock_positions":[323,723,1123],"native_values":[457,482,757],"rotation_degrees":96.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,482,757],"beta":{"interval_sums":[159018,156968,158318],"interval_residues":[618,168,718],"display_cycle":[618,168,718],"intervals":[{"from_index":323,"to_index":723,"sum":159018,"residue":618},{"from_index":723,"to_index":1123,"sum":156968,"residue":168},{"from_index":1123,"to_index":323,"sum":158318,"residue":718}],"minimal_cycle":[618,168,718],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[323,723],"circle_positions":800,"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":[324,724,1124],"clock_positions":[324,724,1124],"native_values":[368,643,493],"rotation_degrees":97.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[368,643,493],"beta":{"interval_sums":[159132,157082,158282],"interval_residues":[732,282,682],"display_cycle":[732,282,682],"intervals":[{"from_index":324,"to_index":724,"sum":159132,"residue":732},{"from_index":724,"to_index":1124,"sum":157082,"residue":282},{"from_index":1124,"to_index":324,"sum":158282,"residue":682}],"minimal_cycle":[732,282,682],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":732,"start_interval_clock_positions":[324,724],"circle_positions":800,"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":[325,725,1125],"clock_positions":[325,725,1125],"native_values":[25,325,450],"rotation_degrees":97.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,325,450],"beta":{"interval_sums":[159750,157250,158200],"interval_residues":[550,450,600],"display_cycle":[550,450,600],"intervals":[{"from_index":325,"to_index":725,"sum":159750,"residue":550},{"from_index":725,"to_index":1125,"sum":157250,"residue":450},{"from_index":1125,"to_index":325,"sum":158200,"residue":600}],"minimal_cycle":[550,450,600],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":550,"start_interval_clock_positions":[325,725],"circle_positions":800,"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":[326,726,1126],"clock_positions":[326,726,1126],"native_values":[393,168,143],"rotation_degrees":97.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[393,168,143],"beta":{"interval_sums":[159682,157532,158082],"interval_residues":[482,732,482],"display_cycle":[482,732,482],"intervals":[{"from_index":326,"to_index":726,"sum":159682,"residue":482},{"from_index":726,"to_index":1126,"sum":157532,"residue":732},{"from_index":1126,"to_index":326,"sum":158082,"residue":482}],"minimal_cycle":[482,732,482],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":482,"start_interval_clock_positions":[326,726],"circle_positions":800,"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":[327,727,1127],"clock_positions":[327,727,1127],"native_values":[418,493,593],"rotation_degrees":98.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,493,593],"beta":{"interval_sums":[159432,157182,157882],"interval_residues":[232,382,282],"display_cycle":[232,382,282],"intervals":[{"from_index":327,"to_index":727,"sum":159432,"residue":232},{"from_index":727,"to_index":1127,"sum":157182,"residue":382},{"from_index":1127,"to_index":327,"sum":157882,"residue":282}],"minimal_cycle":[232,382,282],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":232,"start_interval_clock_positions":[327,727],"circle_positions":800,"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":[328,728,1128],"clock_positions":[328,728,1128],"native_values":[11,661,736],"rotation_degrees":98.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[11,661,736],"beta":{"interval_sums":[159914,157114,157564],"interval_residues":[714,314,764],"display_cycle":[714,314,764],"intervals":[{"from_index":328,"to_index":728,"sum":159914,"residue":714},{"from_index":728,"to_index":1128,"sum":157114,"residue":314},{"from_index":1128,"to_index":328,"sum":157564,"residue":764}],"minimal_cycle":[714,314,764],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":714,"start_interval_clock_positions":[328,728],"circle_positions":800,"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":[329,729,1129],"clock_positions":[329,729,1129],"native_values":[429,354,529],"rotation_degrees":98.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[429,354,529],"beta":{"interval_sums":[160146,157496,157046],"interval_residues":[146,696,246],"display_cycle":[146,696,246],"intervals":[{"from_index":329,"to_index":729,"sum":160146,"residue":146},{"from_index":729,"to_index":1129,"sum":157496,"residue":696},{"from_index":1129,"to_index":329,"sum":157046,"residue":246}],"minimal_cycle":[146,696,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":146,"start_interval_clock_positions":[329,729],"circle_positions":800,"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":[330,730,1130],"clock_positions":[330,730,1130],"native_values":[440,215,465],"rotation_degrees":99.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[440,215,465],"beta":{"interval_sums":[160060,157810,157010],"interval_residues":[60,210,210],"display_cycle":[60,210,210],"intervals":[{"from_index":330,"to_index":730,"sum":160060,"residue":60},{"from_index":730,"to_index":1130,"sum":157810,"residue":210},{"from_index":1130,"to_index":330,"sum":157010,"residue":210}],"minimal_cycle":[60,210,210],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[330,730],"circle_positions":800,"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":[331,731,1131],"clock_positions":[331,731,1131],"native_values":[69,569,194],"rotation_degrees":99.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[69,569,194],"beta":{"interval_sums":[160206,157706,157256],"interval_residues":[206,106,456],"display_cycle":[206,106,456],"intervals":[{"from_index":331,"to_index":731,"sum":160206,"residue":206},{"from_index":731,"to_index":1131,"sum":157706,"residue":106},{"from_index":1131,"to_index":331,"sum":157256,"residue":456}],"minimal_cycle":[206,106,456],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":206,"start_interval_clock_positions":[331,731],"circle_positions":800,"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":[332,732,1132],"clock_positions":[332,732,1132],"native_values":[509,784,659],"rotation_degrees":99.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[509,784,659],"beta":{"interval_sums":[160266,157116,156666],"interval_residues":[266,316,666],"display_cycle":[266,316,666],"intervals":[{"from_index":332,"to_index":732,"sum":160266,"residue":266},{"from_index":732,"to_index":1132,"sum":157116,"residue":316},{"from_index":1132,"to_index":332,"sum":156666,"residue":666}],"minimal_cycle":[266,316,666],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":266,"start_interval_clock_positions":[332,732],"circle_positions":800,"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":[333,733,1133],"clock_positions":[333,733,1133],"native_values":[578,553,53],"rotation_degrees":99.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,553,53],"beta":{"interval_sums":[160472,157222,157122],"interval_residues":[472,422,322],"display_cycle":[472,422,322],"intervals":[{"from_index":333,"to_index":733,"sum":160472,"residue":472},{"from_index":733,"to_index":1133,"sum":157222,"residue":422},{"from_index":1133,"to_index":333,"sum":157122,"residue":322}],"minimal_cycle":[472,422,322],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":472,"start_interval_clock_positions":[333,733],"circle_positions":800,"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":[334,734,1134],"clock_positions":[334,734,1134],"native_values":[287,537,712],"rotation_degrees":100.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[287,537,712],"beta":{"interval_sums":[160738,156738,156988],"interval_residues":[738,738,188],"display_cycle":[738,738,188],"intervals":[{"from_index":334,"to_index":734,"sum":160738,"residue":738},{"from_index":734,"to_index":1134,"sum":156738,"residue":738},{"from_index":1134,"to_index":334,"sum":156988,"residue":188}],"minimal_cycle":[738,738,188],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":738,"start_interval_clock_positions":[334,734],"circle_positions":800,"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":[335,735,1135],"clock_positions":[335,735,1135],"native_values":[65,290,765],"rotation_degrees":100.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[65,290,765],"beta":{"interval_sums":[161210,157160,156510],"interval_residues":[410,360,510],"display_cycle":[410,360,510],"intervals":[{"from_index":335,"to_index":735,"sum":161210,"residue":410},{"from_index":735,"to_index":1135,"sum":157160,"residue":360},{"from_index":1135,"to_index":335,"sum":156510,"residue":510}],"minimal_cycle":[410,360,510],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":410,"start_interval_clock_positions":[335,735],"circle_positions":800,"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":[336,736,1136],"clock_positions":[336,736,1136],"native_values":[352,27,677],"rotation_degrees":100.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[352,27,677],"beta":{"interval_sums":[161148,157898,155898],"interval_residues":[348,298,698],"display_cycle":[348,298,698],"intervals":[{"from_index":336,"to_index":736,"sum":161148,"residue":348},{"from_index":736,"to_index":1136,"sum":157898,"residue":298},{"from_index":1136,"to_index":336,"sum":155898,"residue":698}],"minimal_cycle":[348,298,698],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":348,"start_interval_clock_positions":[336,736],"circle_positions":800,"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":[337,737,1137],"clock_positions":[337,737,1137],"native_values":[417,317,642],"rotation_degrees":101.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,317,642],"beta":{"interval_sums":[160758,158258,155608],"interval_residues":[758,658,408],"display_cycle":[758,658,408],"intervals":[{"from_index":337,"to_index":737,"sum":160758,"residue":758},{"from_index":737,"to_index":1137,"sum":158258,"residue":658},{"from_index":1137,"to_index":337,"sum":155608,"residue":408}],"minimal_cycle":[758,658,408],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":758,"start_interval_clock_positions":[337,737],"circle_positions":800,"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":[338,738,1138],"clock_positions":[338,738,1138],"native_values":[769,344,519],"rotation_degrees":101.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[769,344,519],"beta":{"interval_sums":[160306,158556,155506],"interval_residues":[306,156,306],"display_cycle":[306,156,306],"intervals":[{"from_index":338,"to_index":738,"sum":160306,"residue":306},{"from_index":738,"to_index":1138,"sum":158556,"residue":156},{"from_index":1138,"to_index":338,"sum":155506,"residue":306}],"minimal_cycle":[306,156,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":306,"start_interval_clock_positions":[338,738],"circle_positions":800,"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":[339,739,1139],"clock_positions":[339,739,1139],"native_values":[386,661,361],"rotation_degrees":101.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,661,361],"beta":{"interval_sums":[160264,158414,155914],"interval_residues":[264,14,714],"display_cycle":[264,14,714],"intervals":[{"from_index":339,"to_index":739,"sum":160264,"residue":264},{"from_index":739,"to_index":1139,"sum":158414,"residue":14},{"from_index":1139,"to_index":339,"sum":155914,"residue":714}],"minimal_cycle":[264,14,714],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":264,"start_interval_clock_positions":[339,739],"circle_positions":800,"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":[340,740,1140],"clock_positions":[340,740,1140],"native_values":[355,205,80],"rotation_degrees":102.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[355,205,80],"beta":{"interval_sums":[160570,158570,156220],"interval_residues":[570,170,220],"display_cycle":[570,170,220],"intervals":[{"from_index":340,"to_index":740,"sum":160570,"residue":570},{"from_index":740,"to_index":1140,"sum":158570,"residue":170},{"from_index":1140,"to_index":340,"sum":156220,"residue":220}],"minimal_cycle":[570,170,220],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":570,"start_interval_clock_positions":[340,740],"circle_positions":800,"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":[341,741,1141],"clock_positions":[341,741,1141],"native_values":[741,66,441],"rotation_degrees":102.3,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[741,66,441],"beta":{"interval_sums":[160034,158584,156134],"interval_residues":[34,184,134],"display_cycle":[34,184,134],"intervals":[{"from_index":341,"to_index":741,"sum":160034,"residue":34},{"from_index":741,"to_index":1141,"sum":158584,"residue":184},{"from_index":1141,"to_index":341,"sum":156134,"residue":134}],"minimal_cycle":[34,184,134],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[341,741],"circle_positions":800,"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":[342,742,1142],"clock_positions":[342,742,1142],"native_values":[296,271,521],"rotation_degrees":102.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[296,271,521],"beta":{"interval_sums":[159804,158754,156354],"interval_residues":[604,354,354],"display_cycle":[604,354,354],"intervals":[{"from_index":342,"to_index":742,"sum":159804,"residue":604},{"from_index":742,"to_index":1142,"sum":158754,"residue":354},{"from_index":1142,"to_index":342,"sum":156354,"residue":354}],"minimal_cycle":[604,354,354],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":604,"start_interval_clock_positions":[342,742],"circle_positions":800,"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":[343,743,1143],"clock_positions":[343,743,1143],"native_values":[237,337,162],"rotation_degrees":102.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,337,162],"beta":{"interval_sums":[159838,158938,156488],"interval_residues":[638,538,488],"display_cycle":[638,538,488],"intervals":[{"from_index":343,"to_index":743,"sum":159838,"residue":638},{"from_index":743,"to_index":1143,"sum":158938,"residue":538},{"from_index":1143,"to_index":343,"sum":156488,"residue":488}],"minimal_cycle":[638,538,488],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":638,"start_interval_clock_positions":[343,743],"circle_positions":800,"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":[344,744,1144],"clock_positions":[344,744,1144],"native_values":[533,608,683],"rotation_degrees":103.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[533,608,683],"beta":{"interval_sums":[159642,158492,156042],"interval_residues":[442,92,42],"display_cycle":[442,92,42],"intervals":[{"from_index":344,"to_index":744,"sum":159642,"residue":442},{"from_index":744,"to_index":1144,"sum":158492,"residue":92},{"from_index":1144,"to_index":344,"sum":156042,"residue":42}],"minimal_cycle":[442,92,42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":442,"start_interval_clock_positions":[344,744],"circle_positions":800,"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":[345,745,1145],"clock_positions":[345,745,1145],"native_values":[770,145,45],"rotation_degrees":103.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[770,145,45],"beta":{"interval_sums":[159480,159030,156530],"interval_residues":[280,630,530],"display_cycle":[280,630,530],"intervals":[{"from_index":345,"to_index":745,"sum":159480,"residue":280},{"from_index":745,"to_index":1145,"sum":159030,"residue":630},{"from_index":1145,"to_index":345,"sum":156530,"residue":530}],"minimal_cycle":[280,630,530],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":280,"start_interval_clock_positions":[345,745],"circle_positions":800,"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":[346,746,1146],"clock_positions":[346,746,1146],"native_values":[503,753,728],"rotation_degrees":103.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[503,753,728],"beta":{"interval_sums":[159122,158322,156572],"interval_residues":[722,722,572],"display_cycle":[722,722,572],"intervals":[{"from_index":346,"to_index":746,"sum":159122,"residue":722},{"from_index":746,"to_index":1146,"sum":158322,"residue":722},{"from_index":1146,"to_index":346,"sum":156572,"residue":572}],"minimal_cycle":[722,722,572],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":722,"start_interval_clock_positions":[346,746],"circle_positions":800,"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":[347,747,1147],"clock_positions":[347,747,1147],"native_values":[473,98,773],"rotation_degrees":104.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[473,98,773],"beta":{"interval_sums":[159402,158952,156302],"interval_residues":[202,552,302],"display_cycle":[202,552,302],"intervals":[{"from_index":347,"to_index":747,"sum":159402,"residue":202},{"from_index":747,"to_index":1147,"sum":158952,"residue":552},{"from_index":1147,"to_index":347,"sum":156302,"residue":302}],"minimal_cycle":[202,552,302],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":202,"start_interval_clock_positions":[347,747],"circle_positions":800,"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":[348,748,1148],"clock_positions":[348,748,1148],"native_values":[176,51,701],"rotation_degrees":104.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[176,51,701],"beta":{"interval_sums":[159324,159674,156074],"interval_residues":[124,474,74],"display_cycle":[124,474,74],"intervals":[{"from_index":348,"to_index":748,"sum":159324,"residue":124},{"from_index":748,"to_index":1148,"sum":159674,"residue":474},{"from_index":1148,"to_index":348,"sum":156074,"residue":74}],"minimal_cycle":[124,474,74],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":124,"start_interval_clock_positions":[348,748],"circle_positions":800,"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":[349,749,1149],"clock_positions":[349,749,1149],"native_values":[649,149,674],"rotation_degrees":104.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[649,149,674],"beta":{"interval_sums":[158726,160226,155576],"interval_residues":[326,226,376],"display_cycle":[326,226,376],"intervals":[{"from_index":349,"to_index":749,"sum":158726,"residue":326},{"from_index":749,"to_index":1149,"sum":160226,"residue":226},{"from_index":1149,"to_index":349,"sum":155576,"residue":376}],"minimal_cycle":[326,226,376],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[349,749],"circle_positions":800,"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":[350,750,1150],"clock_positions":[350,750,1150],"native_values":[25,200,575],"rotation_degrees":105.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[25,200,575],"beta":{"interval_sums":[158850,160700,155650],"interval_residues":[450,700,450],"display_cycle":[450,700,450],"intervals":[{"from_index":350,"to_index":750,"sum":158850,"residue":450},{"from_index":750,"to_index":1150,"sum":160700,"residue":700},{"from_index":1150,"to_index":350,"sum":155650,"residue":450}],"minimal_cycle":[450,700,450],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":450,"start_interval_clock_positions":[350,750],"circle_positions":800,"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":[351,751,1151],"clock_positions":[351,751,1151],"native_values":[674,349,449],"rotation_degrees":105.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[674,349,449],"beta":{"interval_sums":[158376,160926,155226],"interval_residues":[776,126,26],"display_cycle":[776,126,26],"intervals":[{"from_index":351,"to_index":751,"sum":158376,"residue":776},{"from_index":751,"to_index":1151,"sum":160926,"residue":126},{"from_index":1151,"to_index":351,"sum":155226,"residue":26}],"minimal_cycle":[776,126,26],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":776,"start_interval_clock_positions":[351,751],"circle_positions":800,"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":[352,752,1152],"clock_positions":[352,752,1152],"native_values":[699,549,224],"rotation_degrees":105.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[699,549,224],"beta":{"interval_sums":[158026,160826,155676],"interval_residues":[426,26,476],"display_cycle":[426,26,476],"intervals":[{"from_index":352,"to_index":752,"sum":158026,"residue":426},{"from_index":752,"to_index":1152,"sum":160826,"residue":26},{"from_index":1152,"to_index":352,"sum":155676,"residue":476}],"minimal_cycle":[426,26,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":426,"start_interval_clock_positions":[352,752],"circle_positions":800,"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":[353,753,1153],"clock_positions":[353,753,1153],"native_values":[573,98,673],"rotation_degrees":105.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[573,98,673],"beta":{"interval_sums":[158002,160952,155702],"interval_residues":[402,152,502],"display_cycle":[402,152,502],"intervals":[{"from_index":353,"to_index":753,"sum":158002,"residue":402},{"from_index":753,"to_index":1153,"sum":160952,"residue":152},{"from_index":1153,"to_index":353,"sum":155702,"residue":502}],"minimal_cycle":[402,152,502],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[353,753],"circle_positions":800,"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":[354,754,1154],"clock_positions":[354,754,1154],"native_values":[472,647,97],"rotation_degrees":106.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[472,647,97],"beta":{"interval_sums":[157628,160978,156178],"interval_residues":[28,178,178],"display_cycle":[28,178,178],"intervals":[{"from_index":354,"to_index":754,"sum":157628,"residue":28},{"from_index":754,"to_index":1154,"sum":160978,"residue":178},{"from_index":1154,"to_index":354,"sum":156178,"residue":178}],"minimal_cycle":[28,178,178],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[354,754],"circle_positions":800,"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":[355,755,1155],"clock_positions":[355,755,1155],"native_values":[245,745,770],"rotation_degrees":106.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[245,745,770],"beta":{"interval_sums":[158030,160330,155880],"interval_residues":[430,330,680],"display_cycle":[430,330,680],"intervals":[{"from_index":355,"to_index":755,"sum":158030,"residue":430},{"from_index":755,"to_index":1155,"sum":160330,"residue":330},{"from_index":1155,"to_index":355,"sum":155880,"residue":680}],"minimal_cycle":[430,330,680],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":430,"start_interval_clock_positions":[355,755],"circle_positions":800,"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":[356,756,1156],"clock_positions":[356,756,1156],"native_values":[717,592,67],"rotation_degrees":106.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,592,67],"beta":{"interval_sums":[158058,160508,156058],"interval_residues":[458,508,58],"display_cycle":[458,508,58],"intervals":[{"from_index":356,"to_index":756,"sum":158058,"residue":458},{"from_index":756,"to_index":1156,"sum":160508,"residue":508},{"from_index":1156,"to_index":356,"sum":156058,"residue":58}],"minimal_cycle":[458,508,58],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":458,"start_interval_clock_positions":[356,756],"circle_positions":800,"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":[357,757,1157],"clock_positions":[357,757,1157],"native_values":[162,537,37],"rotation_degrees":107.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,537,37],"beta":{"interval_sums":[158488,160038,156738],"interval_residues":[88,38,738],"display_cycle":[88,38,738],"intervals":[{"from_index":357,"to_index":757,"sum":158488,"residue":88},{"from_index":757,"to_index":1157,"sum":160038,"residue":38},{"from_index":1157,"to_index":357,"sum":156738,"residue":738}],"minimal_cycle":[88,38,738],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":88,"start_interval_clock_positions":[357,757],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-358","shape":"Equilateral triangle","alpha_indices":[358,758,1158],"clock_positions":[358,758,1158],"native_values":[79,329,104],"rotation_degrees":107.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[79,329,104],"beta":{"interval_sums":[158946,159746,156796],"interval_residues":[546,546,796],"display_cycle":[546,546,796],"intervals":[{"from_index":358,"to_index":758,"sum":158946,"residue":546},{"from_index":758,"to_index":1158,"sum":159746,"residue":546},{"from_index":1158,"to_index":358,"sum":156796,"residue":796}],"minimal_cycle":[546,546,796],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":546,"start_interval_clock_positions":[358,758],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-359","shape":"Equilateral triangle","alpha_indices":[359,759,1159],"clock_positions":[359,759,1159],"native_values":[241,66,141],"rotation_degrees":107.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[241,66,141],"beta":{"interval_sums":[159034,159784,156734],"interval_residues":[634,584,734],"display_cycle":[634,584,734],"intervals":[{"from_index":359,"to_index":759,"sum":159034,"residue":634},{"from_index":759,"to_index":1159,"sum":159784,"residue":584},{"from_index":1159,"to_index":359,"sum":156734,"residue":734}],"minimal_cycle":[634,584,734],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[359,759],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-360","shape":"Equilateral triangle","alpha_indices":[360,760,1160],"clock_positions":[360,760,1160],"native_values":[320,395,245],"rotation_degrees":108.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[320,395,245],"beta":{"interval_sums":[158780,159530,156730],"interval_residues":[380,330,730],"display_cycle":[380,330,730],"intervals":[{"from_index":360,"to_index":760,"sum":158780,"residue":380},{"from_index":760,"to_index":1160,"sum":159530,"residue":330},{"from_index":1160,"to_index":360,"sum":156730,"residue":730}],"minimal_cycle":[380,330,730],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[360,760],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-361","shape":"Equilateral triangle","alpha_indices":[361,761,1161],"clock_positions":[361,761,1161],"native_values":[561,461,386],"rotation_degrees":108.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,461,386],"beta":{"interval_sums":[158614,159314,156664],"interval_residues":[214,114,664],"display_cycle":[214,114,664],"intervals":[{"from_index":361,"to_index":761,"sum":158614,"residue":214},{"from_index":761,"to_index":1161,"sum":159314,"residue":114},{"from_index":1161,"to_index":361,"sum":156664,"residue":664}],"minimal_cycle":[214,114,664],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[361,761],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-362","shape":"Equilateral triangle","alpha_indices":[362,762,1162],"clock_positions":[362,762,1162],"native_values":[81,56,631],"rotation_degrees":108.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,56,631],"beta":{"interval_sums":[158994,159644,156594],"interval_residues":[594,444,594],"display_cycle":[594,444,594],"intervals":[{"from_index":362,"to_index":762,"sum":158994,"residue":594},{"from_index":762,"to_index":1162,"sum":159644,"residue":444},{"from_index":1162,"to_index":362,"sum":156594,"residue":594}],"minimal_cycle":[594,444,594],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":594,"start_interval_clock_positions":[362,762],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-363","shape":"Equilateral triangle","alpha_indices":[363,763,1163],"clock_positions":[363,763,1163],"native_values":[642,517,217],"rotation_degrees":108.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,517,217],"beta":{"interval_sums":[158408,159758,156458],"interval_residues":[8,558,458],"display_cycle":[8,558,458],"intervals":[{"from_index":363,"to_index":763,"sum":158408,"residue":8},{"from_index":763,"to_index":1163,"sum":159758,"residue":558},{"from_index":1163,"to_index":363,"sum":156458,"residue":458}],"minimal_cycle":[8,558,458],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":8,"start_interval_clock_positions":[363,763],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-364","shape":"Equilateral triangle","alpha_indices":[364,764,1164],"clock_positions":[364,764,1164],"native_values":[723,573,48],"rotation_degrees":109.2,"north_south":false,"in_primary_gamma":true,"uniform_values":false,"minimal_value_cycle":[723,573,48],"beta":{"interval_sums":[158202,159402,157052],"interval_residues":[602,202,252],"display_cycle":[602,202,252],"intervals":[{"from_index":364,"to_index":764,"sum":158202,"residue":602},{"from_index":764,"to_index":1164,"sum":159402,"residue":202},{"from_index":1164,"to_index":364,"sum":157052,"residue":252}],"minimal_cycle":[602,202,252],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":602,"start_interval_clock_positions":[364,764],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-365","shape":"Equilateral triangle","alpha_indices":[365,765,1165],"clock_positions":[365,765,1165],"native_values":[565,290,265],"rotation_degrees":109.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[565,290,265],"beta":{"interval_sums":[158210,159160,157510],"interval_residues":[610,760,710],"display_cycle":[610,760,710],"intervals":[{"from_index":365,"to_index":765,"sum":158210,"residue":610},{"from_index":765,"to_index":1165,"sum":159160,"residue":760},{"from_index":1165,"to_index":365,"sum":157510,"residue":710}],"minimal_cycle":[610,760,710],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":610,"start_interval_clock_positions":[365,765],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-366","shape":"Equilateral triangle","alpha_indices":[366,766,1166],"clock_positions":[366,766,1166],"native_values":[488,63,313],"rotation_degrees":109.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[488,63,313],"beta":{"interval_sums":[158012,159362,157762],"interval_residues":[412,162,162],"display_cycle":[412,162,162],"intervals":[{"from_index":366,"to_index":766,"sum":158012,"residue":412},{"from_index":766,"to_index":1166,"sum":159362,"residue":162},{"from_index":1166,"to_index":366,"sum":157762,"residue":162}],"minimal_cycle":[412,162,162],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[366,766],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-367","shape":"Equilateral triangle","alpha_indices":[367,767,1167],"clock_positions":[367,767,1167],"native_values":[253,353,578],"rotation_degrees":110.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[253,353,578],"beta":{"interval_sums":[157822,159322,157672],"interval_residues":[222,122,72],"display_cycle":[222,122,72],"intervals":[{"from_index":367,"to_index":767,"sum":157822,"residue":222},{"from_index":767,"to_index":1167,"sum":159322,"residue":122},{"from_index":1167,"to_index":367,"sum":157672,"residue":72}],"minimal_cycle":[222,122,72],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":222,"start_interval_clock_positions":[367,767],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-368","shape":"Equilateral triangle","alpha_indices":[368,768,1168],"clock_positions":[368,768,1168],"native_values":[741,416,91],"rotation_degrees":110.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[741,416,91],"beta":{"interval_sums":[157434,159484,157834],"interval_residues":[634,284,234],"display_cycle":[634,284,234],"intervals":[{"from_index":368,"to_index":768,"sum":157434,"residue":634},{"from_index":768,"to_index":1168,"sum":159484,"residue":284},{"from_index":1168,"to_index":368,"sum":157834,"residue":234}],"minimal_cycle":[634,284,234],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":634,"start_interval_clock_positions":[368,768],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-369","shape":"Equilateral triangle","alpha_indices":[369,769,1169],"clock_positions":[369,769,1169],"native_values":[194,769,669],"rotation_degrees":110.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,769,669],"beta":{"interval_sums":[157656,158806,157906],"interval_residues":[56,406,306],"display_cycle":[56,406,306],"intervals":[{"from_index":369,"to_index":769,"sum":157656,"residue":56},{"from_index":769,"to_index":1169,"sum":158806,"residue":406},{"from_index":1169,"to_index":369,"sum":157906,"residue":306}],"minimal_cycle":[56,406,306],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":56,"start_interval_clock_positions":[369,769],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-370","shape":"Equilateral triangle","alpha_indices":[370,770,1170],"clock_positions":[370,770,1170],"native_values":[135,385,760],"rotation_degrees":111.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[135,385,760],"beta":{"interval_sums":[158290,159090,157340],"interval_residues":[690,690,540],"display_cycle":[690,690,540],"intervals":[{"from_index":370,"to_index":770,"sum":158290,"residue":690},{"from_index":770,"to_index":1170,"sum":159090,"residue":690},{"from_index":1170,"to_index":370,"sum":157340,"residue":540}],"minimal_cycle":[690,690,540],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":690,"start_interval_clock_positions":[370,770],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-371","shape":"Equilateral triangle","alpha_indices":[371,771,1171],"clock_positions":[371,771,1171],"native_values":[329,354,629],"rotation_degrees":111.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[329,354,629],"beta":{"interval_sums":[158346,159496,156846],"interval_residues":[746,296,46],"display_cycle":[746,296,46],"intervals":[{"from_index":371,"to_index":771,"sum":158346,"residue":746},{"from_index":771,"to_index":1171,"sum":159496,"residue":296},{"from_index":1171,"to_index":371,"sum":156846,"residue":46}],"minimal_cycle":[746,296,46],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":746,"start_interval_clock_positions":[371,771],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-372","shape":"Equilateral triangle","alpha_indices":[372,772,1172],"clock_positions":[372,772,1172],"native_values":[464,739,589],"rotation_degrees":111.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[464,739,589],"beta":{"interval_sums":[158236,159386,156586],"interval_residues":[636,186,586],"display_cycle":[636,186,586],"intervals":[{"from_index":372,"to_index":772,"sum":158236,"residue":636},{"from_index":772,"to_index":1172,"sum":159386,"residue":186},{"from_index":1172,"to_index":372,"sum":156586,"residue":586}],"minimal_cycle":[636,186,586],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[372,772],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-373","shape":"Equilateral triangle","alpha_indices":[373,773,1173],"clock_positions":[373,773,1173],"native_values":[793,293,418],"rotation_degrees":111.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[793,293,418],"beta":{"interval_sums":[158182,159682,156632],"interval_residues":[582,482,632],"display_cycle":[582,482,632],"intervals":[{"from_index":373,"to_index":773,"sum":158182,"residue":582},{"from_index":773,"to_index":1173,"sum":159682,"residue":482},{"from_index":1173,"to_index":373,"sum":156632,"residue":632}],"minimal_cycle":[582,482,632],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":582,"start_interval_clock_positions":[373,773],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-374","shape":"Equilateral triangle","alpha_indices":[374,774,1174],"clock_positions":[374,774,1174],"native_values":[457,232,207],"rotation_degrees":112.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[457,232,207],"beta":{"interval_sums":[158018,159868,157218],"interval_residues":[418,668,418],"display_cycle":[418,668,418],"intervals":[{"from_index":374,"to_index":774,"sum":158018,"residue":418},{"from_index":774,"to_index":1174,"sum":159868,"residue":668},{"from_index":1174,"to_index":374,"sum":157218,"residue":418}],"minimal_cycle":[418,668,418],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":418,"start_interval_clock_positions":[374,774],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-375","shape":"Equilateral triangle","alpha_indices":[375,775,1175],"clock_positions":[375,775,1175],"native_values":[450,525,625],"rotation_degrees":112.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,525,625],"beta":{"interval_sums":[157800,159550,157050],"interval_residues":[200,350,250],"display_cycle":[200,350,250],"intervals":[{"from_index":375,"to_index":775,"sum":157800,"residue":200},{"from_index":775,"to_index":1175,"sum":159550,"residue":350},{"from_index":1175,"to_index":375,"sum":157050,"residue":250}],"minimal_cycle":[200,350,250],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":200,"start_interval_clock_positions":[375,775],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-376","shape":"Equilateral triangle","alpha_indices":[376,776,1176],"clock_positions":[376,776,1176],"native_values":[107,757,32],"rotation_degrees":112.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[107,757,32],"beta":{"interval_sums":[158218,159418,157468],"interval_residues":[618,218,668],"display_cycle":[618,218,668],"intervals":[{"from_index":376,"to_index":776,"sum":158218,"residue":618},{"from_index":776,"to_index":1176,"sum":159418,"residue":218},{"from_index":1176,"to_index":376,"sum":157468,"residue":668}],"minimal_cycle":[618,218,668],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":618,"start_interval_clock_positions":[376,776],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-377","shape":"Equilateral triangle","alpha_indices":[377,777,1177],"clock_positions":[377,777,1177],"native_values":[557,482,657],"rotation_degrees":113.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[557,482,657],"beta":{"interval_sums":[158418,158968,156918],"interval_residues":[18,568,118],"display_cycle":[18,568,118],"intervals":[{"from_index":377,"to_index":777,"sum":158418,"residue":18},{"from_index":777,"to_index":1177,"sum":158968,"residue":568},{"from_index":1177,"to_index":377,"sum":156918,"residue":118}],"minimal_cycle":[18,568,118],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":18,"start_interval_clock_positions":[377,777],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-378","shape":"Equilateral triangle","alpha_indices":[378,778,1178],"clock_positions":[378,778,1178],"native_values":[664,439,689],"rotation_degrees":113.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[664,439,689],"beta":{"interval_sums":[158236,159186,156786],"interval_residues":[636,786,786],"display_cycle":[636,786,786],"intervals":[{"from_index":378,"to_index":778,"sum":158236,"residue":636},{"from_index":778,"to_index":1178,"sum":159186,"residue":786},{"from_index":1178,"to_index":378,"sum":156786,"residue":786}],"minimal_cycle":[636,786,786],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[378,778],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-379","shape":"Equilateral triangle","alpha_indices":[379,779,1179],"clock_positions":[379,779,1179],"native_values":[421,121,546],"rotation_degrees":113.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[421,121,546],"beta":{"interval_sums":[158254,159754,156904],"interval_residues":[654,554,104],"display_cycle":[654,554,104],"intervals":[{"from_index":379,"to_index":779,"sum":158254,"residue":654},{"from_index":779,"to_index":1179,"sum":159754,"residue":554},{"from_index":1179,"to_index":379,"sum":156904,"residue":104}],"minimal_cycle":[654,554,104],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":654,"start_interval_clock_positions":[379,779],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-380","shape":"Equilateral triangle","alpha_indices":[380,780,1180],"clock_positions":[380,780,1180],"native_values":[285,560,435],"rotation_degrees":114.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[285,560,435],"beta":{"interval_sums":[158090,159740,156890],"interval_residues":[490,540,90],"display_cycle":[490,540,90],"intervals":[{"from_index":380,"to_index":780,"sum":158090,"residue":490},{"from_index":780,"to_index":1180,"sum":159740,"residue":540},{"from_index":1180,"to_index":380,"sum":156890,"residue":90}],"minimal_cycle":[490,540,90],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":490,"start_interval_clock_positions":[380,780],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-381","shape":"Equilateral triangle","alpha_indices":[381,781,1181],"clock_positions":[381,781,1181],"native_values":[706,681,181],"rotation_degrees":114.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,681,181],"beta":{"interval_sums":[157944,159494,156994],"interval_residues":[344,294,194],"display_cycle":[344,294,194],"intervals":[{"from_index":381,"to_index":781,"sum":157944,"residue":344},{"from_index":781,"to_index":1181,"sum":159494,"residue":294},{"from_index":1181,"to_index":381,"sum":156994,"residue":194}],"minimal_cycle":[344,294,194],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":344,"start_interval_clock_positions":[381,781],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-382","shape":"Equilateral triangle","alpha_indices":[382,782,1182],"clock_positions":[382,782,1182],"native_values":[191,441,616],"rotation_degrees":114.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[191,441,616],"beta":{"interval_sums":[158434,159234,157084],"interval_residues":[34,34,284],"display_cycle":[34,34,284],"intervals":[{"from_index":382,"to_index":782,"sum":158434,"residue":34},{"from_index":782,"to_index":1182,"sum":159234,"residue":34},{"from_index":1182,"to_index":382,"sum":157084,"residue":284}],"minimal_cycle":[34,34,284],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":34,"start_interval_clock_positions":[382,782],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-383","shape":"Equilateral triangle","alpha_indices":[383,783,1183],"clock_positions":[383,783,1183],"native_values":[97,322,797],"rotation_degrees":114.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[97,322,797],"beta":{"interval_sums":[158778,159528,156478],"interval_residues":[378,328,478],"display_cycle":[378,328,478],"intervals":[{"from_index":383,"to_index":783,"sum":158778,"residue":378},{"from_index":783,"to_index":1183,"sum":159528,"residue":328},{"from_index":1183,"to_index":383,"sum":156478,"residue":478}],"minimal_cycle":[378,328,478],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":378,"start_interval_clock_positions":[383,783],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-384","shape":"Equilateral triangle","alpha_indices":[384,784,1184],"clock_positions":[384,784,1184],"native_values":[288,763,613],"rotation_degrees":115.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[288,763,613],"beta":{"interval_sums":[158812,159562,155962],"interval_residues":[412,362,762],"display_cycle":[412,362,762],"intervals":[{"from_index":384,"to_index":784,"sum":158812,"residue":412},{"from_index":784,"to_index":1184,"sum":159562,"residue":362},{"from_index":1184,"to_index":384,"sum":155962,"residue":762}],"minimal_cycle":[412,362,762],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":412,"start_interval_clock_positions":[384,784],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-385","shape":"Equilateral triangle","alpha_indices":[385,785,1185],"clock_positions":[385,785,1185],"native_values":[385,285,610],"rotation_degrees":115.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[385,285,610],"beta":{"interval_sums":[159190,159890,155640],"interval_residues":[790,690,440],"display_cycle":[790,690,440],"intervals":[{"from_index":385,"to_index":785,"sum":159190,"residue":790},{"from_index":785,"to_index":1185,"sum":159890,"residue":690},{"from_index":1185,"to_index":385,"sum":155640,"residue":440}],"minimal_cycle":[790,690,440],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[385,785],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-386","shape":"Equilateral triangle","alpha_indices":[386,786,1186],"clock_positions":[386,786,1186],"native_values":[673,248,423],"rotation_degrees":115.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,248,423],"beta":{"interval_sums":[158802,160252,155602],"interval_residues":[402,252,402],"display_cycle":[402,252,402],"intervals":[{"from_index":386,"to_index":786,"sum":158802,"residue":402},{"from_index":786,"to_index":1186,"sum":160252,"residue":252},{"from_index":1186,"to_index":386,"sum":155602,"residue":402}],"minimal_cycle":[402,252,402],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":402,"start_interval_clock_positions":[386,786],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-387","shape":"Equilateral triangle","alpha_indices":[387,787,1187],"clock_positions":[387,787,1187],"native_values":[258,533,233],"rotation_degrees":116.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,533,233],"beta":{"interval_sums":[158792,160142,156042],"interval_residues":[392,142,42],"display_cycle":[392,142,42],"intervals":[{"from_index":387,"to_index":787,"sum":158792,"residue":392},{"from_index":787,"to_index":1187,"sum":160142,"residue":142},{"from_index":1187,"to_index":387,"sum":156042,"residue":42}],"minimal_cycle":[392,142,42],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":392,"start_interval_clock_positions":[387,787],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-388","shape":"Equilateral triangle","alpha_indices":[388,788,1188],"clock_positions":[388,788,1188],"native_values":[131,781,656],"rotation_degrees":116.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[131,781,656],"beta":{"interval_sums":[159194,159594,155644],"interval_residues":[794,394,444],"display_cycle":[794,394,444],"intervals":[{"from_index":388,"to_index":788,"sum":159194,"residue":794},{"from_index":788,"to_index":1188,"sum":159594,"residue":394},{"from_index":1188,"to_index":388,"sum":155644,"residue":444}],"minimal_cycle":[794,394,444],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":794,"start_interval_clock_positions":[388,788],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-389","shape":"Equilateral triangle","alpha_indices":[389,789,1189],"clock_positions":[389,789,1189],"native_values":[389,514,89],"rotation_degrees":116.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[389,514,89],"beta":{"interval_sums":[159586,159736,155686],"interval_residues":[386,536,486],"display_cycle":[386,536,486],"intervals":[{"from_index":389,"to_index":789,"sum":159586,"residue":386},{"from_index":789,"to_index":1189,"sum":159736,"residue":536},{"from_index":1189,"to_index":389,"sum":155686,"residue":486}],"minimal_cycle":[386,536,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":386,"start_interval_clock_positions":[389,789],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-390","shape":"Equilateral triangle","alpha_indices":[390,790,1190],"clock_positions":[390,790,1190],"native_values":[520,495,745],"rotation_degrees":117.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[520,495,745],"beta":{"interval_sums":[159580,159330,155330],"interval_residues":[380,130,130],"display_cycle":[380,130,130],"intervals":[{"from_index":390,"to_index":790,"sum":159580,"residue":380},{"from_index":790,"to_index":1190,"sum":159330,"residue":130},{"from_index":1190,"to_index":390,"sum":155330,"residue":130}],"minimal_cycle":[380,130,130],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":380,"start_interval_clock_positions":[390,790],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-391","shape":"Equilateral triangle","alpha_indices":[391,791,1191],"clock_positions":[391,791,1191],"native_values":[109,209,34],"rotation_degrees":117.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[109,209,34],"beta":{"interval_sums":[159966,159866,155816],"interval_residues":[766,666,616],"display_cycle":[766,666,616],"intervals":[{"from_index":391,"to_index":791,"sum":159966,"residue":766},{"from_index":791,"to_index":1191,"sum":159866,"residue":666},{"from_index":1191,"to_index":391,"sum":155816,"residue":616}],"minimal_cycle":[766,666,616],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":766,"start_interval_clock_positions":[391,791],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-392","shape":"Equilateral triangle","alpha_indices":[392,792,1192],"clock_positions":[392,792,1192],"native_values":[629,704,779],"rotation_degrees":117.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,704,779],"beta":{"interval_sums":[159546,159196,155146],"interval_residues":[346,796,746],"display_cycle":[346,796,746],"intervals":[{"from_index":392,"to_index":792,"sum":159546,"residue":346},{"from_index":792,"to_index":1192,"sum":159196,"residue":796},{"from_index":1192,"to_index":392,"sum":155146,"residue":746}],"minimal_cycle":[346,796,746],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":346,"start_interval_clock_positions":[392,792],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-393","shape":"Equilateral triangle","alpha_indices":[393,793,1193],"clock_positions":[393,793,1193],"native_values":[738,113,13],"rotation_degrees":117.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,113,13],"beta":{"interval_sums":[159512,159862,155762],"interval_residues":[312,662,562],"display_cycle":[312,662,562],"intervals":[{"from_index":393,"to_index":793,"sum":159512,"residue":312},{"from_index":793,"to_index":1193,"sum":159862,"residue":662},{"from_index":1193,"to_index":393,"sum":155762,"residue":562}],"minimal_cycle":[312,662,562],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":312,"start_interval_clock_positions":[393,793],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-394","shape":"Equilateral triangle","alpha_indices":[394,794,1194],"clock_positions":[394,794,1194],"native_values":[567,17,792],"rotation_degrees":118.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[567,17,792],"beta":{"interval_sums":[159058,159858,155708],"interval_residues":[658,658,508],"display_cycle":[658,658,508],"intervals":[{"from_index":394,"to_index":794,"sum":159058,"residue":658},{"from_index":794,"to_index":1194,"sum":159858,"residue":658},{"from_index":1194,"to_index":394,"sum":155708,"residue":508}],"minimal_cycle":[658,658,508],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":658,"start_interval_clock_positions":[394,794],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-395","shape":"Equilateral triangle","alpha_indices":[395,795,1195],"clock_positions":[395,795,1195],"native_values":[505,130,5],"rotation_degrees":118.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,130,5],"beta":{"interval_sums":[158570,160520,156270],"interval_residues":[170,520,270],"display_cycle":[170,520,270],"intervals":[{"from_index":395,"to_index":795,"sum":158570,"residue":170},{"from_index":795,"to_index":1195,"sum":160520,"residue":520},{"from_index":1195,"to_index":395,"sum":156270,"residue":270}],"minimal_cycle":[170,520,270],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":170,"start_interval_clock_positions":[395,795],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-396","shape":"Equilateral triangle","alpha_indices":[396,796,1196],"clock_positions":[396,796,1196],"native_values":[272,147,797],"rotation_degrees":118.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[272,147,797],"beta":{"interval_sums":[158428,160378,155978],"interval_residues":[28,378,778],"display_cycle":[28,378,778],"intervals":[{"from_index":396,"to_index":796,"sum":158428,"residue":28},{"from_index":796,"to_index":1196,"sum":160378,"residue":378},{"from_index":1196,"to_index":396,"sum":155978,"residue":778}],"minimal_cycle":[28,378,778],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[396,796],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-397","shape":"Equilateral triangle","alpha_indices":[397,797,1197],"clock_positions":[397,797,1197],"native_values":[777,277,2],"rotation_degrees":119.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[777,277,2],"beta":{"interval_sums":[157798,160898,156248],"interval_residues":[198,98,248],"display_cycle":[198,98,248],"intervals":[{"from_index":397,"to_index":797,"sum":157798,"residue":198},{"from_index":797,"to_index":1197,"sum":160898,"residue":98},{"from_index":1197,"to_index":397,"sum":156248,"residue":248}],"minimal_cycle":[198,98,248],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":198,"start_interval_clock_positions":[397,797],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-398","shape":"Equilateral triangle","alpha_indices":[398,798,1198],"clock_positions":[398,798,1198],"native_values":[249,424,799],"rotation_degrees":119.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[249,424,799],"beta":{"interval_sums":[157826,160476,156226],"interval_residues":[226,476,226],"display_cycle":[226,476,226],"intervals":[{"from_index":398,"to_index":798,"sum":157826,"residue":226},{"from_index":798,"to_index":1198,"sum":160476,"residue":476},{"from_index":1198,"to_index":398,"sum":156226,"residue":226}],"minimal_cycle":[226,476,226],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":226,"start_interval_clock_positions":[398,798],"circle_positions":800,"cycle_length":3,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."}},{"id":"3-nodes-offset-399","shape":"Equilateral triangle","alpha_indices":[399,799,1199],"clock_positions":[399,799,1199],"native_values":[226,701,1],"rotation_degrees":119.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,701,1],"beta":{"interval_sums":[158024,160574,156474],"interval_residues":[424,574,474],"display_cycle":[424,574,474],"intervals":[{"from_index":399,"to_index":799,"sum":158024,"residue":424},{"from_index":799,"to_index":1199,"sum":160574,"residue":574},{"from_index":1199,"to_index":399,"sum":156474,"residue":474}],"minimal_cycle":[424,574,474],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":424,"start_interval_clock_positions":[399,799],"circle_positions":800,"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":[0,200,400,600,800,1000],"clock_positions":[1200,200,400,600,800,1000],"native_values":[800,725,475,800,325,75],"rotation_degrees":0.0,"north_south":true,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[800,725,475,800,325,75],"beta":{"interval_sums":[74625,81350,76025,82225,78950,81225],"interval_residues":[225,550,25,625,550,425],"display_cycle":[225,550,25,625,550,425],"intervals":[{"from_index":0,"to_index":200,"sum":74625,"residue":225},{"from_index":200,"to_index":400,"sum":81350,"residue":550},{"from_index":400,"to_index":600,"sum":76025,"residue":25},{"from_index":600,"to_index":800,"sum":82225,"residue":625},{"from_index":800,"to_index":1000,"sum":78950,"residue":550},{"from_index":1000,"to_index":0,"sum":81225,"residue":425}],"minimal_cycle":[225,550,25,625,550,425],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[1200,200],"circle_positions":800,"cycle_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":[1,201,401,601,801,1001],"clock_positions":[1,201,401,601,801,1001],"native_values":[1,226,701,401,226,301],"rotation_degrees":0.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,226,701,401,226,301],"beta":{"interval_sums":[75349,81599,75324,82149,78799,80924],"interval_residues":[149,799,124,549,399,124],"display_cycle":[149,799,124,549,399,124],"intervals":[{"from_index":1,"to_index":201,"sum":75349,"residue":149},{"from_index":201,"to_index":401,"sum":81599,"residue":799},{"from_index":401,"to_index":601,"sum":75324,"residue":124},{"from_index":601,"to_index":801,"sum":82149,"residue":549},{"from_index":801,"to_index":1001,"sum":78799,"residue":399},{"from_index":1001,"to_index":1,"sum":80924,"residue":124}],"minimal_cycle":[149,799,124,549,399,124],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":149,"start_interval_clock_positions":[1,201],"circle_positions":800,"cycle_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":[2,202,402,602,802,1002],"clock_positions":[2,202,402,602,802,1002],"native_values":[1,151,376,401,551,376],"rotation_degrees":0.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[1,151,376,401,551,376],"beta":{"interval_sums":[75574,82149,75349,81974,78549,80549],"interval_residues":[374,549,149,374,149,549],"display_cycle":[374,549,149,374,149,549],"intervals":[{"from_index":2,"to_index":202,"sum":75574,"residue":374},{"from_index":202,"to_index":402,"sum":82149,"residue":549},{"from_index":402,"to_index":602,"sum":75349,"residue":149},{"from_index":602,"to_index":802,"sum":81974,"residue":374},{"from_index":802,"to_index":1002,"sum":78549,"residue":149},{"from_index":1002,"to_index":2,"sum":80549,"residue":549}],"minimal_cycle":[374,549,149,374,149,549],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":374,"start_interval_clock_positions":[2,202],"circle_positions":800,"cycle_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":[3,203,403,603,803,1003],"clock_positions":[3,203,403,603,803,1003],"native_values":[2,377,277,2,777,677],"rotation_degrees":0.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[2,377,277,2,777,677],"beta":{"interval_sums":[75723,82148,75473,82523,78148,79873],"interval_residues":[523,548,273,123,548,673],"display_cycle":[523,548,273,123,548,673],"intervals":[{"from_index":3,"to_index":203,"sum":75723,"residue":523},{"from_index":203,"to_index":403,"sum":82148,"residue":548},{"from_index":403,"to_index":603,"sum":75473,"residue":273},{"from_index":603,"to_index":803,"sum":82523,"residue":123},{"from_index":803,"to_index":1003,"sum":78148,"residue":548},{"from_index":1003,"to_index":3,"sum":79873,"residue":673}],"minimal_cycle":[523,548,273,123,548,673],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":523,"start_interval_clock_positions":[3,203],"circle_positions":800,"cycle_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":[4,204,404,604,804,1004],"clock_positions":[4,204,404,604,804,1004],"native_values":[3,528,653,403,528,253],"rotation_degrees":1.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[3,528,653,403,528,253],"beta":{"interval_sums":[76097,81897,74822,82897,78297,79622],"interval_residues":[97,297,422,497,697,422],"display_cycle":[97,297,422,497,697,422],"intervals":[{"from_index":4,"to_index":204,"sum":76097,"residue":97},{"from_index":204,"to_index":404,"sum":81897,"residue":297},{"from_index":404,"to_index":604,"sum":74822,"residue":422},{"from_index":604,"to_index":804,"sum":82897,"residue":497},{"from_index":804,"to_index":1004,"sum":78297,"residue":697},{"from_index":1004,"to_index":4,"sum":79622,"residue":422}],"minimal_cycle":[97,297,422,497,697,422],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":97,"start_interval_clock_positions":[4,204],"circle_positions":800,"cycle_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":[5,205,405,605,805,1005],"clock_positions":[5,205,405,605,805,1005],"native_values":[5,105,130,405,505,130],"rotation_degrees":1.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[5,105,130,405,505,130],"beta":{"interval_sums":[76620,82445,75095,83020,78045,79495],"interval_residues":[620,45,695,620,445,295],"display_cycle":[620,45,695,620,445,295],"intervals":[{"from_index":5,"to_index":205,"sum":76620,"residue":620},{"from_index":205,"to_index":405,"sum":82445,"residue":45},{"from_index":405,"to_index":605,"sum":75095,"residue":695},{"from_index":605,"to_index":805,"sum":83020,"residue":620},{"from_index":805,"to_index":1005,"sum":78045,"residue":445},{"from_index":1005,"to_index":5,"sum":79495,"residue":295}],"minimal_cycle":[620,45,695,620,445,295],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":620,"start_interval_clock_positions":[5,205],"circle_positions":800,"cycle_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":[6,206,406,606,806,1006],"clock_positions":[6,206,406,606,806,1006],"native_values":[8,633,783,8,233,383],"rotation_degrees":1.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[8,633,783,8,233,383],"beta":{"interval_sums":[76717,81942,74717,83517,77942,79117],"interval_residues":[717,342,317,317,342,717],"display_cycle":[717,342,317,317,342,717],"intervals":[{"from_index":6,"to_index":206,"sum":76717,"residue":717},{"from_index":206,"to_index":406,"sum":81942,"residue":342},{"from_index":406,"to_index":606,"sum":74717,"residue":317},{"from_index":606,"to_index":806,"sum":83517,"residue":317},{"from_index":806,"to_index":1006,"sum":77942,"residue":342},{"from_index":1006,"to_index":6,"sum":79117,"residue":717}],"minimal_cycle":[717,342,317,317,342,717],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[6,206],"circle_positions":800,"cycle_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":[7,207,407,607,807,1007],"clock_positions":[7,207,407,607,807,1007],"native_values":[13,738,113,413,738,513],"rotation_degrees":2.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[13,738,113,413,738,513],"beta":{"interval_sums":[77337,81987,74612,83337,77587,78612],"interval_residues":[537,387,212,137,787,212],"display_cycle":[537,387,212,137,787,212],"intervals":[{"from_index":7,"to_index":207,"sum":77337,"residue":537},{"from_index":207,"to_index":407,"sum":81987,"residue":387},{"from_index":407,"to_index":607,"sum":74612,"residue":212},{"from_index":607,"to_index":807,"sum":83337,"residue":137},{"from_index":807,"to_index":1007,"sum":77587,"residue":787},{"from_index":1007,"to_index":7,"sum":78612,"residue":212}],"minimal_cycle":[537,387,212,137,787,212],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[7,207],"circle_positions":800,"cycle_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":[8,208,408,608,808,1008],"clock_positions":[8,208,408,608,808,1008],"native_values":[21,571,96,421,171,96],"rotation_degrees":2.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[21,571,96,421,171,96],"beta":{"interval_sums":[78054,81529,74929,83654,77929,78529],"interval_residues":[454,729,529,454,329,129],"display_cycle":[454,729,529,454,329,129],"intervals":[{"from_index":8,"to_index":208,"sum":78054,"residue":454},{"from_index":208,"to_index":408,"sum":81529,"residue":729},{"from_index":408,"to_index":608,"sum":74929,"residue":529},{"from_index":608,"to_index":808,"sum":83654,"residue":454},{"from_index":808,"to_index":1008,"sum":77929,"residue":329},{"from_index":1008,"to_index":8,"sum":78529,"residue":129}],"minimal_cycle":[454,729,529,454,329,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":454,"start_interval_clock_positions":[8,208],"circle_positions":800,"cycle_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":[9,209,409,609,809,1009],"clock_positions":[9,209,409,609,809,1009],"native_values":[34,509,209,34,109,609],"rotation_degrees":2.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[34,509,209,34,109,609],"beta":{"interval_sums":[78591,81116,75141,83791,77916,77941],"interval_residues":[191,316,741,591,316,341],"display_cycle":[191,316,741,591,316,341],"intervals":[{"from_index":9,"to_index":209,"sum":78591,"residue":191},{"from_index":209,"to_index":409,"sum":81116,"residue":316},{"from_index":409,"to_index":609,"sum":75141,"residue":741},{"from_index":609,"to_index":809,"sum":83791,"residue":591},{"from_index":809,"to_index":1009,"sum":77916,"residue":316},{"from_index":1009,"to_index":9,"sum":77941,"residue":341}],"minimal_cycle":[191,316,741,591,316,341],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":191,"start_interval_clock_positions":[9,209],"circle_positions":800,"cycle_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":[10,210,410,610,810,1010],"clock_positions":[10,210,410,610,810,1010],"native_values":[55,280,305,455,280,705],"rotation_degrees":3.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[55,280,305,455,280,705],"beta":{"interval_sums":[79045,81045,74870,83445,78245,77270],"interval_residues":[645,245,470,245,645,470],"display_cycle":[645,245,470,245,645,470],"intervals":[{"from_index":10,"to_index":210,"sum":79045,"residue":645},{"from_index":210,"to_index":410,"sum":81045,"residue":245},{"from_index":410,"to_index":610,"sum":74870,"residue":470},{"from_index":610,"to_index":810,"sum":83445,"residue":245},{"from_index":810,"to_index":1010,"sum":78245,"residue":645},{"from_index":1010,"to_index":10,"sum":77270,"residue":470}],"minimal_cycle":[645,245,470,245,645,470],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":645,"start_interval_clock_positions":[10,210],"circle_positions":800,"cycle_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":[11,211,411,611,811,1011],"clock_positions":[11,211,411,611,811,1011],"native_values":[89,789,514,489,389,514],"rotation_degrees":3.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[89,789,514,489,389,514],"beta":{"interval_sums":[79236,80561,74811,83236,78561,76811],"interval_residues":[36,561,411,36,161,11],"display_cycle":[36,561,411,36,161,11],"intervals":[{"from_index":11,"to_index":211,"sum":79236,"residue":36},{"from_index":211,"to_index":411,"sum":80561,"residue":561},{"from_index":411,"to_index":611,"sum":74811,"residue":411},{"from_index":611,"to_index":811,"sum":83236,"residue":36},{"from_index":811,"to_index":1011,"sum":78561,"residue":161},{"from_index":1011,"to_index":11,"sum":76811,"residue":11}],"minimal_cycle":[36,561,411,36,161,11],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":36,"start_interval_clock_positions":[11,211],"circle_positions":800,"cycle_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":[12,212,412,612,812,1012],"clock_positions":[12,212,412,612,812,1012],"native_values":[144,269,19,144,669,419],"rotation_degrees":3.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[144,269,19,144,669,419],"beta":{"interval_sums":[79881,80806,75281,83481,78406,76481],"interval_residues":[681,6,81,281,6,481],"display_cycle":[681,6,81,281,6,481],"intervals":[{"from_index":12,"to_index":212,"sum":79881,"residue":681},{"from_index":212,"to_index":412,"sum":80806,"residue":6},{"from_index":412,"to_index":612,"sum":75281,"residue":81},{"from_index":612,"to_index":812,"sum":83481,"residue":281},{"from_index":812,"to_index":1012,"sum":78406,"residue":6},{"from_index":1012,"to_index":12,"sum":76481,"residue":481}],"minimal_cycle":[681,6,81,281,6,481],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[12,212],"circle_positions":800,"cycle_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":[13,213,413,613,813,1013],"clock_positions":[13,213,413,613,813,1013],"native_values":[233,258,533,633,258,133],"rotation_degrees":3.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[233,258,533,633,258,133],"beta":{"interval_sums":[79917,80567,74892,83517,78567,76492],"interval_residues":[717,567,492,317,167,492],"display_cycle":[717,567,492,317,167,492],"intervals":[{"from_index":13,"to_index":213,"sum":79917,"residue":717},{"from_index":213,"to_index":413,"sum":80567,"residue":567},{"from_index":413,"to_index":613,"sum":74892,"residue":492},{"from_index":613,"to_index":813,"sum":83517,"residue":317},{"from_index":813,"to_index":1013,"sum":78567,"residue":167},{"from_index":1013,"to_index":13,"sum":76492,"residue":492}],"minimal_cycle":[717,567,492,317,167,492],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":717,"start_interval_clock_positions":[13,213],"circle_positions":800,"cycle_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":[14,214,414,614,814,1014],"clock_positions":[14,214,414,614,814,1014],"native_values":[377,527,552,777,127,552],"rotation_degrees":4.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[377,527,552,777,127,552],"beta":{"interval_sums":[79798,80573,74973,82998,78573,76173],"interval_residues":[598,573,573,598,173,173],"display_cycle":[598,573,573,598,173,173],"intervals":[{"from_index":14,"to_index":214,"sum":79798,"residue":598},{"from_index":214,"to_index":414,"sum":80573,"residue":573},{"from_index":414,"to_index":614,"sum":74973,"residue":573},{"from_index":614,"to_index":814,"sum":82998,"residue":598},{"from_index":814,"to_index":1014,"sum":78573,"residue":173},{"from_index":1014,"to_index":14,"sum":76173,"residue":173}],"minimal_cycle":[598,573,573,598,173,173],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":598,"start_interval_clock_positions":[14,214],"circle_positions":800,"cycle_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":[15,215,415,615,815,1015],"clock_positions":[15,215,415,615,815,1015],"native_values":[610,785,285,610,385,685],"rotation_degrees":4.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[610,785,285,610,385,685],"beta":{"interval_sums":[79715,80340,75465,82515,78740,75865],"interval_residues":[515,340,265,115,340,665],"display_cycle":[515,340,265,115,340,665],"intervals":[{"from_index":15,"to_index":215,"sum":79715,"residue":515},{"from_index":215,"to_index":415,"sum":80340,"residue":340},{"from_index":415,"to_index":615,"sum":75465,"residue":265},{"from_index":615,"to_index":815,"sum":82515,"residue":115},{"from_index":815,"to_index":1015,"sum":78740,"residue":340},{"from_index":1015,"to_index":15,"sum":75865,"residue":665}],"minimal_cycle":[515,340,265,115,340,665],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":515,"start_interval_clock_positions":[15,215],"circle_positions":800,"cycle_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":[16,216,416,616,816,1016],"clock_positions":[16,216,416,616,816,1016],"native_values":[187,512,37,587,512,437],"rotation_degrees":4.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[187,512,37,587,512,437],"beta":{"interval_sums":[80313,80113,76038,82313,78913,76038],"interval_residues":[313,113,38,713,513,38],"display_cycle":[313,113,38,713,513,38],"intervals":[{"from_index":16,"to_index":216,"sum":80313,"residue":313},{"from_index":216,"to_index":416,"sum":80113,"residue":113},{"from_index":416,"to_index":616,"sum":76038,"residue":38},{"from_index":616,"to_index":816,"sum":82313,"residue":713},{"from_index":816,"to_index":1016,"sum":78913,"residue":513},{"from_index":1016,"to_index":16,"sum":76038,"residue":38}],"minimal_cycle":[313,113,38,713,513,38],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":313,"start_interval_clock_positions":[16,216],"circle_positions":800,"cycle_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":[17,217,417,617,817,1017],"clock_positions":[17,217,417,617,817,1017],"native_values":[797,497,322,397,97,322],"rotation_degrees":5.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[797,497,322,397,97,322],"beta":{"interval_sums":[80028,79653,76303,82428,79253,75903],"interval_residues":[28,453,303,28,53,703],"display_cycle":[28,453,303,28,53,703],"intervals":[{"from_index":17,"to_index":217,"sum":80028,"residue":28},{"from_index":217,"to_index":417,"sum":79653,"residue":453},{"from_index":417,"to_index":617,"sum":76303,"residue":303},{"from_index":617,"to_index":817,"sum":82428,"residue":28},{"from_index":817,"to_index":1017,"sum":79253,"residue":53},{"from_index":1017,"to_index":17,"sum":75903,"residue":703}],"minimal_cycle":[28,453,303,28,53,703],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":28,"start_interval_clock_positions":[17,217],"circle_positions":800,"cycle_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":[18,218,418,618,818,1018],"clock_positions":[18,218,418,618,818,1018],"native_values":[184,209,359,184,609,759],"rotation_degrees":5.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[184,209,359,184,609,759],"beta":{"interval_sums":[80341,79766,76341,82341,78966,75941],"interval_residues":[341,566,341,741,566,741],"display_cycle":[341,566,341,741,566,741],"intervals":[{"from_index":18,"to_index":218,"sum":80341,"residue":341},{"from_index":218,"to_index":418,"sum":79766,"residue":566},{"from_index":418,"to_index":618,"sum":76341,"residue":341},{"from_index":618,"to_index":818,"sum":82341,"residue":741},{"from_index":818,"to_index":1018,"sum":78966,"residue":566},{"from_index":1018,"to_index":18,"sum":75941,"residue":741}],"minimal_cycle":[341,566,341,741,566,741],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":341,"start_interval_clock_positions":[18,218],"circle_positions":800,"cycle_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":[19,219,419,619,819,1019],"clock_positions":[19,219,419,619,819,1019],"native_values":[181,706,681,581,706,281],"rotation_degrees":5.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[181,706,681,581,706,281],"beta":{"interval_sums":[80369,79419,75844,82369,79019,75844],"interval_residues":[369,219,644,769,619,644],"display_cycle":[369,219,644,769,619,644],"intervals":[{"from_index":19,"to_index":219,"sum":80369,"residue":369},{"from_index":219,"to_index":419,"sum":79419,"residue":219},{"from_index":419,"to_index":619,"sum":75844,"residue":644},{"from_index":619,"to_index":819,"sum":82369,"residue":769},{"from_index":819,"to_index":1019,"sum":79019,"residue":619},{"from_index":1019,"to_index":19,"sum":75844,"residue":644}],"minimal_cycle":[369,219,644,769,619,644],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":369,"start_interval_clock_positions":[19,219],"circle_positions":800,"cycle_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":[20,220,420,620,820,1020],"clock_positions":[20,220,420,620,820,1020],"native_values":[365,115,240,765,515,240],"rotation_degrees":6.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[365,115,240,765,515,240],"beta":{"interval_sums":[80710,79985,76185,82310,78785,75785],"interval_residues":[710,785,185,710,385,585],"display_cycle":[710,785,185,710,385,585],"intervals":[{"from_index":20,"to_index":220,"sum":80710,"residue":710},{"from_index":220,"to_index":420,"sum":79985,"residue":785},{"from_index":420,"to_index":620,"sum":76185,"residue":185},{"from_index":620,"to_index":820,"sum":82310,"residue":710},{"from_index":820,"to_index":1020,"sum":78785,"residue":385},{"from_index":1020,"to_index":20,"sum":75785,"residue":585}],"minimal_cycle":[710,785,185,710,385,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":710,"start_interval_clock_positions":[20,220],"circle_positions":800,"cycle_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":[21,221,421,621,821,1021],"clock_positions":[21,221,421,621,821,1021],"native_values":[546,21,121,546,421,521],"rotation_degrees":6.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[546,21,121,546,421,521],"beta":{"interval_sums":[80279,80204,76829,82279,78604,75629],"interval_residues":[279,204,29,679,204,429],"display_cycle":[279,204,29,679,204,429],"intervals":[{"from_index":21,"to_index":221,"sum":80279,"residue":279},{"from_index":221,"to_index":421,"sum":80204,"residue":204},{"from_index":421,"to_index":621,"sum":76829,"residue":29},{"from_index":621,"to_index":821,"sum":82279,"residue":679},{"from_index":821,"to_index":1021,"sum":78604,"residue":204},{"from_index":1021,"to_index":21,"sum":75629,"residue":429}],"minimal_cycle":[279,204,29,679,204,429],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":279,"start_interval_clock_positions":[21,221],"circle_positions":800,"cycle_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":[22,222,422,622,822,1022],"clock_positions":[22,222,422,622,822,1022],"native_values":[111,136,361,511,136,761],"rotation_degrees":6.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[111,136,361,511,136,761],"beta":{"interval_sums":[80189,80189,77014,82189,78989,75414],"interval_residues":[189,189,214,589,589,214],"display_cycle":[189,189,214,589,589,214],"intervals":[{"from_index":22,"to_index":222,"sum":80189,"residue":189},{"from_index":222,"to_index":422,"sum":80189,"residue":189},{"from_index":422,"to_index":622,"sum":77014,"residue":214},{"from_index":622,"to_index":822,"sum":82189,"residue":589},{"from_index":822,"to_index":1022,"sum":78989,"residue":589},{"from_index":1022,"to_index":22,"sum":75414,"residue":214}],"minimal_cycle":[189,189,214,589,589,214],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":189,"start_interval_clock_positions":[22,222],"circle_positions":800,"cycle_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":[23,223,423,623,823,1023],"clock_positions":[23,223,423,623,823,1023],"native_values":[657,157,482,257,557,482],"rotation_degrees":6.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,157,482,257,557,482],"beta":{"interval_sums":[79668,80393,77043,82068,79193,75043],"interval_residues":[468,393,243,468,793,643],"display_cycle":[468,393,243,468,793,643],"intervals":[{"from_index":23,"to_index":223,"sum":79668,"residue":468},{"from_index":223,"to_index":423,"sum":80393,"residue":393},{"from_index":423,"to_index":623,"sum":77043,"residue":243},{"from_index":623,"to_index":823,"sum":82068,"residue":468},{"from_index":823,"to_index":1023,"sum":79193,"residue":793},{"from_index":1023,"to_index":23,"sum":75043,"residue":643}],"minimal_cycle":[468,393,243,468,793,643],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":468,"start_interval_clock_positions":[23,223],"circle_positions":800,"cycle_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":[24,224,424,624,824,1024],"clock_positions":[24,224,424,624,824,1024],"native_values":[768,293,43,768,693,443],"rotation_degrees":7.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[768,293,43,768,693,443],"beta":{"interval_sums":[79057,80582,77257,81857,78982,75257],"interval_residues":[657,582,457,257,582,57],"display_cycle":[657,582,457,257,582,57],"intervals":[{"from_index":24,"to_index":224,"sum":79057,"residue":657},{"from_index":224,"to_index":424,"sum":80582,"residue":582},{"from_index":424,"to_index":624,"sum":77257,"residue":457},{"from_index":624,"to_index":824,"sum":81857,"residue":257},{"from_index":824,"to_index":1024,"sum":78982,"residue":582},{"from_index":1024,"to_index":24,"sum":75257,"residue":57}],"minimal_cycle":[657,582,457,257,582,57],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[24,224],"circle_positions":800,"cycle_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":[25,225,425,625,825,1025],"clock_positions":[25,225,425,625,825,1025],"native_values":[625,450,525,225,450,125],"rotation_degrees":7.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[625,450,525,225,450,125],"beta":{"interval_sums":[78725,80175,77500,82325,78975,75900],"interval_residues":[325,175,700,725,575,700],"display_cycle":[325,175,700,725,575,700],"intervals":[{"from_index":25,"to_index":225,"sum":78725,"residue":325},{"from_index":225,"to_index":425,"sum":80175,"residue":175},{"from_index":425,"to_index":625,"sum":77500,"residue":700},{"from_index":625,"to_index":825,"sum":82325,"residue":725},{"from_index":825,"to_index":1025,"sum":78975,"residue":575},{"from_index":1025,"to_index":25,"sum":75900,"residue":700}],"minimal_cycle":[325,175,700,725,575,700],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":325,"start_interval_clock_positions":[25,225],"circle_positions":800,"cycle_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":[26,226,426,626,826,1026],"clock_positions":[26,226,426,626,826,1026],"native_values":[593,743,568,193,343,568],"rotation_degrees":7.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,743,568,193,343,568],"beta":{"interval_sums":[78582,79957,77157,82582,78757,75957],"interval_residues":[182,757,357,182,357,757],"display_cycle":[182,757,357,182,357,757],"intervals":[{"from_index":26,"to_index":226,"sum":78582,"residue":182},{"from_index":226,"to_index":426,"sum":79957,"residue":757},{"from_index":426,"to_index":626,"sum":77157,"residue":357},{"from_index":626,"to_index":826,"sum":82582,"residue":182},{"from_index":826,"to_index":1026,"sum":78757,"residue":357},{"from_index":1026,"to_index":26,"sum":75957,"residue":757}],"minimal_cycle":[182,757,357,182,357,757],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":182,"start_interval_clock_positions":[26,226],"circle_positions":800,"cycle_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":[27,227,427,627,827,1027],"clock_positions":[27,227,427,627,827,1027],"native_values":[418,393,293,418,793,693],"rotation_degrees":8.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[418,393,293,418,793,693],"beta":{"interval_sums":[78907,80132,77057,82507,78532,75857],"interval_residues":[507,132,257,107,132,657],"display_cycle":[507,132,257,107,132,657],"intervals":[{"from_index":27,"to_index":227,"sum":78907,"residue":507},{"from_index":227,"to_index":427,"sum":80132,"residue":132},{"from_index":427,"to_index":627,"sum":77057,"residue":257},{"from_index":627,"to_index":827,"sum":82507,"residue":107},{"from_index":827,"to_index":1027,"sum":78532,"residue":132},{"from_index":1027,"to_index":27,"sum":75857,"residue":657}],"minimal_cycle":[507,132,257,107,132,657],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":507,"start_interval_clock_positions":[27,227],"circle_positions":800,"cycle_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":[28,228,428,628,828,1028],"clock_positions":[28,228,428,628,828,1028],"native_values":[211,336,61,611,336,461],"rotation_degrees":8.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[211,336,61,611,336,461],"beta":{"interval_sums":[79089,80089,77414,82689,78889,75814],"interval_residues":[689,89,614,289,489,614],"display_cycle":[689,89,614,289,489,614],"intervals":[{"from_index":28,"to_index":228,"sum":79089,"residue":689},{"from_index":228,"to_index":428,"sum":80089,"residue":89},{"from_index":428,"to_index":628,"sum":77414,"residue":614},{"from_index":628,"to_index":828,"sum":82689,"residue":289},{"from_index":828,"to_index":1028,"sum":78889,"residue":489},{"from_index":1028,"to_index":28,"sum":75814,"residue":614}],"minimal_cycle":[689,89,614,289,489,614],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":689,"start_interval_clock_positions":[28,228],"circle_positions":800,"cycle_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":[29,229,429,629,829,1029],"clock_positions":[29,229,429,629,829,1029],"native_values":[629,729,354,229,329,354],"rotation_degrees":8.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[629,729,354,229,329,354],"beta":{"interval_sums":[78796,79421,77671,82796,79021,75671],"interval_residues":[396,221,71,396,621,471],"display_cycle":[396,221,71,396,621,471],"intervals":[{"from_index":29,"to_index":229,"sum":78796,"residue":396},{"from_index":229,"to_index":429,"sum":79421,"residue":221},{"from_index":429,"to_index":629,"sum":77671,"residue":71},{"from_index":629,"to_index":829,"sum":82796,"residue":396},{"from_index":829,"to_index":1029,"sum":79021,"residue":621},{"from_index":1029,"to_index":29,"sum":75671,"residue":471}],"minimal_cycle":[396,221,71,396,621,471],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":396,"start_interval_clock_positions":[29,229],"circle_positions":800,"cycle_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":[30,230,430,630,830,1030],"clock_positions":[30,230,430,630,830,1030],"native_values":[40,265,415,40,665,15],"rotation_degrees":9.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[40,265,415,40,665,15],"beta":{"interval_sums":[79485,79510,77485,83085,78710,76285],"interval_residues":[285,310,685,685,310,285],"display_cycle":[285,310,685,685,310,285],"intervals":[{"from_index":30,"to_index":230,"sum":79485,"residue":285},{"from_index":230,"to_index":430,"sum":79510,"residue":310},{"from_index":430,"to_index":630,"sum":77485,"residue":685},{"from_index":630,"to_index":830,"sum":83085,"residue":685},{"from_index":830,"to_index":1030,"sum":78710,"residue":310},{"from_index":1030,"to_index":30,"sum":76285,"residue":285}],"minimal_cycle":[285,310,685,685,310,285],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":285,"start_interval_clock_positions":[30,230],"circle_positions":800,"cycle_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":[31,231,431,631,831,1031],"clock_positions":[31,231,431,631,831,1031],"native_values":[669,194,769,269,194,369],"rotation_degrees":9.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[669,194,769,269,194,369],"beta":{"interval_sums":[79081,79731,76756,83481,78531,75956],"interval_residues":[681,531,756,281,131,756],"display_cycle":[681,531,756,281,131,756],"intervals":[{"from_index":31,"to_index":231,"sum":79081,"residue":681},{"from_index":231,"to_index":431,"sum":79731,"residue":531},{"from_index":431,"to_index":631,"sum":76756,"residue":756},{"from_index":631,"to_index":831,"sum":83481,"residue":281},{"from_index":831,"to_index":1031,"sum":78531,"residue":131},{"from_index":1031,"to_index":31,"sum":75956,"residue":756}],"minimal_cycle":[681,531,756,281,131,756],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":681,"start_interval_clock_positions":[31,231],"circle_positions":800,"cycle_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":[32,232,432,632,832,1032],"clock_positions":[32,232,432,632,832,1032],"native_values":[709,459,384,309,59,384],"rotation_degrees":9.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,459,384,309,59,384],"beta":{"interval_sums":[78566,80041,76641,83366,78841,76241],"interval_residues":[166,41,641,166,441,241],"display_cycle":[166,41,641,166,441,241],"intervals":[{"from_index":32,"to_index":232,"sum":78566,"residue":166},{"from_index":232,"to_index":432,"sum":80041,"residue":41},{"from_index":432,"to_index":632,"sum":76641,"residue":641},{"from_index":632,"to_index":832,"sum":83366,"residue":166},{"from_index":832,"to_index":1032,"sum":78841,"residue":441},{"from_index":1032,"to_index":32,"sum":76241,"residue":241}],"minimal_cycle":[166,41,641,166,441,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":166,"start_interval_clock_positions":[32,232],"circle_positions":800,"cycle_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":[33,233,433,633,833,1033],"clock_positions":[33,233,433,633,833,1033],"native_values":[578,653,353,578,253,753],"rotation_degrees":9.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[578,653,353,578,253,753],"beta":{"interval_sums":[78447,79772,76597,82847,78972,76197],"interval_residues":[47,572,597,447,572,197],"display_cycle":[47,572,597,447,572,197],"intervals":[{"from_index":33,"to_index":233,"sum":78447,"residue":47},{"from_index":233,"to_index":433,"sum":79772,"residue":572},{"from_index":433,"to_index":633,"sum":76597,"residue":597},{"from_index":633,"to_index":833,"sum":82847,"residue":447},{"from_index":833,"to_index":1033,"sum":78972,"residue":572},{"from_index":1033,"to_index":33,"sum":76197,"residue":197}],"minimal_cycle":[47,572,597,447,572,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":47,"start_interval_clock_positions":[33,233],"circle_positions":800,"cycle_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":[34,234,434,634,834,1034],"clock_positions":[34,234,434,634,834,1034],"native_values":[487,312,737,87,312,337],"rotation_degrees":10.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[487,312,737,87,312,337],"beta":{"interval_sums":[78613,79813,76438,83013,79413,76438],"interval_residues":[213,613,438,613,213,438],"display_cycle":[213,613,438,613,213,438],"intervals":[{"from_index":34,"to_index":234,"sum":78613,"residue":213},{"from_index":234,"to_index":434,"sum":79813,"residue":613},{"from_index":434,"to_index":634,"sum":76438,"residue":438},{"from_index":634,"to_index":834,"sum":83013,"residue":613},{"from_index":834,"to_index":1034,"sum":79413,"residue":213},{"from_index":1034,"to_index":34,"sum":76438,"residue":438}],"minimal_cycle":[213,613,438,613,213,438],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":213,"start_interval_clock_positions":[34,234],"circle_positions":800,"cycle_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":[35,235,435,635,835,1035],"clock_positions":[35,235,435,635,835,1035],"native_values":[265,165,290,665,565,290],"rotation_degrees":10.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[265,165,290,665,565,290],"beta":{"interval_sums":[78660,80385,76235,82660,79185,76635],"interval_residues":[260,385,235,260,785,635],"display_cycle":[260,385,235,260,785,635],"intervals":[{"from_index":35,"to_index":235,"sum":78660,"residue":260},{"from_index":235,"to_index":435,"sum":80385,"residue":385},{"from_index":435,"to_index":635,"sum":76235,"residue":235},{"from_index":635,"to_index":835,"sum":82660,"residue":260},{"from_index":835,"to_index":1035,"sum":79185,"residue":785},{"from_index":1035,"to_index":35,"sum":76635,"residue":635}],"minimal_cycle":[260,385,235,260,785,635],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":260,"start_interval_clock_positions":[35,235],"circle_positions":800,"cycle_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":[36,236,436,636,836,1036],"clock_positions":[36,236,436,636,836,1036],"native_values":[752,477,227,752,77,627],"rotation_degrees":10.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[752,477,227,752,77,627],"beta":{"interval_sums":[78073,80198,76673,82473,79398,76273],"interval_residues":[473,198,673,73,198,273],"display_cycle":[473,198,673,73,198,273],"intervals":[{"from_index":36,"to_index":236,"sum":78073,"residue":473},{"from_index":236,"to_index":436,"sum":80198,"residue":198},{"from_index":436,"to_index":636,"sum":76673,"residue":673},{"from_index":636,"to_index":836,"sum":82473,"residue":73},{"from_index":836,"to_index":1036,"sum":79398,"residue":198},{"from_index":1036,"to_index":36,"sum":76273,"residue":273}],"minimal_cycle":[473,198,673,73,198,273],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[36,236],"circle_positions":800,"cycle_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":[37,237,437,637,837,1037],"clock_positions":[37,237,437,637,837,1037],"native_values":[217,642,517,617,642,117],"rotation_degrees":11.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[217,642,517,617,642,117],"beta":{"interval_sums":[78333,79783,76908,81933,79383,76908],"interval_residues":[733,583,108,333,183,108],"display_cycle":[733,583,108,333,183,108],"intervals":[{"from_index":37,"to_index":237,"sum":78333,"residue":733},{"from_index":237,"to_index":437,"sum":79783,"residue":583},{"from_index":437,"to_index":637,"sum":76908,"residue":108},{"from_index":637,"to_index":837,"sum":81933,"residue":333},{"from_index":837,"to_index":1037,"sum":79383,"residue":183},{"from_index":1037,"to_index":37,"sum":76908,"residue":108}],"minimal_cycle":[733,583,108,333,183,108],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":733,"start_interval_clock_positions":[37,237],"circle_positions":800,"cycle_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":[38,238,438,638,838,1038],"clock_positions":[38,238,438,638,838,1038],"native_values":[169,319,744,569,719,744],"rotation_degrees":11.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,319,744,569,719,744],"beta":{"interval_sums":[78806,79981,76781,82006,78781,76381],"interval_residues":[406,781,781,406,381,381],"display_cycle":[406,781,781,406,381,381],"intervals":[{"from_index":38,"to_index":238,"sum":78806,"residue":406},{"from_index":238,"to_index":438,"sum":79981,"residue":781},{"from_index":438,"to_index":638,"sum":76781,"residue":781},{"from_index":638,"to_index":838,"sum":82006,"residue":406},{"from_index":838,"to_index":1038,"sum":78781,"residue":381},{"from_index":1038,"to_index":38,"sum":76381,"residue":381}],"minimal_cycle":[406,781,781,406,381,381],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":406,"start_interval_clock_positions":[38,238],"circle_positions":800,"cycle_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":[39,239,439,639,839,1039],"clock_positions":[39,239,439,639,839,1039],"native_values":[386,161,461,386,561,61],"rotation_degrees":11.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[386,161,461,386,561,61],"beta":{"interval_sums":[78739,80564,76889,82339,78964,76489],"interval_residues":[339,564,89,739,564,489],"display_cycle":[339,564,89,739,564,489],"intervals":[{"from_index":39,"to_index":239,"sum":78739,"residue":339},{"from_index":239,"to_index":439,"sum":80564,"residue":564},{"from_index":439,"to_index":639,"sum":76889,"residue":89},{"from_index":639,"to_index":839,"sum":82339,"residue":739},{"from_index":839,"to_index":1039,"sum":78964,"residue":564},{"from_index":1039,"to_index":39,"sum":76489,"residue":489}],"minimal_cycle":[339,564,89,739,564,489],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":339,"start_interval_clock_positions":[39,239],"circle_positions":800,"cycle_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":[40,240,440,640,840,1040],"clock_positions":[40,240,440,640,840,1040],"native_values":[555,480,405,155,480,5],"rotation_degrees":12.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[555,480,405,155,480,5],"beta":{"interval_sums":[78345,80545,76870,82745,78545,76870],"interval_residues":[745,545,70,345,145,70],"display_cycle":[745,545,70,345,145,70],"intervals":[{"from_index":40,"to_index":240,"sum":78345,"residue":745},{"from_index":240,"to_index":440,"sum":80545,"residue":545},{"from_index":440,"to_index":640,"sum":76870,"residue":70},{"from_index":640,"to_index":840,"sum":82745,"residue":345},{"from_index":840,"to_index":1040,"sum":78545,"residue":145},{"from_index":1040,"to_index":40,"sum":76870,"residue":70}],"minimal_cycle":[745,545,70,345,145,70],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":745,"start_interval_clock_positions":[40,240],"circle_positions":800,"cycle_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":[41,241,441,641,841,1041],"clock_positions":[41,241,441,641,841,1041],"native_values":[141,641,66,541,241,66],"rotation_degrees":12.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,641,66,541,241,66],"beta":{"interval_sums":[78684,80309,76959,82684,78309,77359],"interval_residues":[284,309,159,284,709,559],"display_cycle":[284,309,159,284,709,559],"intervals":[{"from_index":41,"to_index":241,"sum":78684,"residue":284},{"from_index":241,"to_index":441,"sum":80309,"residue":309},{"from_index":441,"to_index":641,"sum":76959,"residue":159},{"from_index":641,"to_index":841,"sum":82684,"residue":284},{"from_index":841,"to_index":1041,"sum":78309,"residue":709},{"from_index":1041,"to_index":41,"sum":77359,"residue":559}],"minimal_cycle":[284,309,159,284,709,559],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":284,"start_interval_clock_positions":[41,241],"circle_positions":800,"cycle_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":[42,242,442,642,842,1042],"clock_positions":[42,242,442,642,842,1042],"native_values":[696,321,471,696,721,71],"rotation_degrees":12.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[696,321,471,696,721,71],"beta":{"interval_sums":[78629,80054,77029,82229,77654,77429],"interval_residues":[229,54,229,629,54,629],"display_cycle":[229,54,229,629,54,629],"intervals":[{"from_index":42,"to_index":242,"sum":78629,"residue":229},{"from_index":242,"to_index":442,"sum":80054,"residue":54},{"from_index":442,"to_index":642,"sum":77029,"residue":229},{"from_index":642,"to_index":842,"sum":82229,"residue":629},{"from_index":842,"to_index":1042,"sum":77654,"residue":54},{"from_index":1042,"to_index":42,"sum":77429,"residue":629}],"minimal_cycle":[229,54,229,629,54,629],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[42,242],"circle_positions":800,"cycle_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":[43,243,443,643,843,1043],"clock_positions":[43,243,443,643,843,1043],"native_values":[37,162,537,437,162,137],"rotation_degrees":12.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[37,162,537,437,162,137],"beta":{"interval_sums":[78913,80363,77188,82513,77563,77988],"interval_residues":[513,363,388,113,763,388],"display_cycle":[513,363,388,113,763,388],"intervals":[{"from_index":43,"to_index":243,"sum":78913,"residue":513},{"from_index":243,"to_index":443,"sum":80363,"residue":363},{"from_index":443,"to_index":643,"sum":77188,"residue":388},{"from_index":643,"to_index":843,"sum":82513,"residue":113},{"from_index":843,"to_index":1043,"sum":77563,"residue":763},{"from_index":1043,"to_index":43,"sum":77988,"residue":388}],"minimal_cycle":[513,363,388,113,763,388],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":513,"start_interval_clock_positions":[43,243],"circle_positions":800,"cycle_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":[44,244,444,644,844,1044],"clock_positions":[44,244,444,644,844,1044],"native_values":[733,483,208,333,83,208],"rotation_degrees":13.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,483,208,333,83,208],"beta":{"interval_sums":[78342,80417,77417,82342,77617,77817],"interval_residues":[742,417,617,742,17,217],"display_cycle":[742,417,617,742,17,217],"intervals":[{"from_index":44,"to_index":244,"sum":78342,"residue":742},{"from_index":244,"to_index":444,"sum":80417,"residue":417},{"from_index":444,"to_index":644,"sum":77417,"residue":617},{"from_index":644,"to_index":844,"sum":82342,"residue":742},{"from_index":844,"to_index":1044,"sum":77617,"residue":17},{"from_index":1044,"to_index":44,"sum":77817,"residue":217}],"minimal_cycle":[742,417,617,742,17,217],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":742,"start_interval_clock_positions":[44,244],"circle_positions":800,"cycle_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":[45,245,445,645,845,1045],"clock_positions":[45,245,445,645,845,1045],"native_values":[770,645,745,770,245,345],"rotation_degrees":13.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[770,645,745,770,245,345],"beta":{"interval_sums":[78055,79980,77005,81655,77580,78205],"interval_residues":[455,780,205,55,780,605],"display_cycle":[455,780,205,55,780,605],"intervals":[{"from_index":45,"to_index":245,"sum":78055,"residue":455},{"from_index":245,"to_index":445,"sum":79980,"residue":780},{"from_index":445,"to_index":645,"sum":77005,"residue":205},{"from_index":645,"to_index":845,"sum":81655,"residue":55},{"from_index":845,"to_index":1045,"sum":77580,"residue":780},{"from_index":1045,"to_index":45,"sum":78205,"residue":605}],"minimal_cycle":[455,780,205,55,780,605],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":455,"start_interval_clock_positions":[45,245],"circle_positions":800,"cycle_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":[46,246,446,646,846,1046],"clock_positions":[46,246,446,646,846,1046],"native_values":[703,328,153,303,328,553],"rotation_degrees":13.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[703,328,153,303,328,553],"beta":{"interval_sums":[77997,80397,77622,81597,77597,78422],"interval_residues":[397,397,22,797,797,22],"display_cycle":[397,397,22,797,797,22],"intervals":[{"from_index":46,"to_index":246,"sum":77997,"residue":397},{"from_index":246,"to_index":446,"sum":80397,"residue":397},{"from_index":446,"to_index":646,"sum":77622,"residue":22},{"from_index":646,"to_index":846,"sum":81597,"residue":797},{"from_index":846,"to_index":1046,"sum":77597,"residue":797},{"from_index":1046,"to_index":46,"sum":78422,"residue":22}],"minimal_cycle":[397,397,22,797,797,22],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":397,"start_interval_clock_positions":[46,246],"circle_positions":800,"cycle_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":[47,247,447,647,847,1047],"clock_positions":[47,247,447,647,847,1047],"native_values":[673,173,98,273,573,98],"rotation_degrees":14.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[673,173,98,273,573,98],"beta":{"interval_sums":[77652,80377,77827,81652,77577,79027],"interval_residues":[52,377,227,52,777,627],"display_cycle":[52,377,227,52,777,627],"intervals":[{"from_index":47,"to_index":247,"sum":77652,"residue":52},{"from_index":247,"to_index":447,"sum":80377,"residue":377},{"from_index":447,"to_index":647,"sum":77827,"residue":227},{"from_index":647,"to_index":847,"sum":81652,"residue":52},{"from_index":847,"to_index":1047,"sum":77577,"residue":777},{"from_index":1047,"to_index":47,"sum":79027,"residue":627}],"minimal_cycle":[52,377,227,52,777,627],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":52,"start_interval_clock_positions":[47,247],"circle_positions":800,"cycle_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":[48,248,448,648,848,1048],"clock_positions":[48,248,448,648,848,1048],"native_values":[576,501,251,576,101,651],"rotation_degrees":14.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[576,501,251,576,101,651],"beta":{"interval_sums":[77249,79974,77849,81649,77574,79049],"interval_residues":[449,774,249,49,774,649],"display_cycle":[449,774,249,49,774,649],"intervals":[{"from_index":48,"to_index":248,"sum":77249,"residue":449},{"from_index":248,"to_index":448,"sum":79974,"residue":774},{"from_index":448,"to_index":648,"sum":77849,"residue":249},{"from_index":648,"to_index":848,"sum":81649,"residue":49},{"from_index":848,"to_index":1048,"sum":77574,"residue":774},{"from_index":1048,"to_index":48,"sum":79049,"residue":649}],"minimal_cycle":[449,774,249,49,774,649],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[48,248],"circle_positions":800,"cycle_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":[49,249,449,649,849,1049],"clock_positions":[49,249,449,649,849,1049],"native_values":[449,674,349,49,674,749],"rotation_degrees":14.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,674,349,49,674,749],"beta":{"interval_sums":[77301,79551,78076,81701,77551,78876],"interval_residues":[501,351,476,101,751,476],"display_cycle":[501,351,476,101,751,476],"intervals":[{"from_index":49,"to_index":249,"sum":77301,"residue":501},{"from_index":249,"to_index":449,"sum":79551,"residue":351},{"from_index":449,"to_index":649,"sum":78076,"residue":476},{"from_index":649,"to_index":849,"sum":81701,"residue":101},{"from_index":849,"to_index":1049,"sum":77551,"residue":751},{"from_index":1049,"to_index":49,"sum":78876,"residue":476}],"minimal_cycle":[501,351,476,101,751,476],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":501,"start_interval_clock_positions":[49,249],"circle_positions":800,"cycle_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":[50,250,450,650,850,1050],"clock_positions":[50,250,450,650,850,1050],"native_values":[225,375,600,625,775,600],"rotation_degrees":15.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[225,375,600,625,775,600],"beta":{"interval_sums":[77750,79525,77525,81750,77525,78725],"interval_residues":[150,325,725,150,725,325],"display_cycle":[150,325,725,150,725,325],"intervals":[{"from_index":50,"to_index":250,"sum":77750,"residue":150},{"from_index":250,"to_index":450,"sum":79525,"residue":325},{"from_index":450,"to_index":650,"sum":77525,"residue":725},{"from_index":650,"to_index":850,"sum":81750,"residue":150},{"from_index":850,"to_index":1050,"sum":77525,"residue":725},{"from_index":1050,"to_index":50,"sum":78725,"residue":325}],"minimal_cycle":[150,325,725,150,725,325],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":150,"start_interval_clock_positions":[50,250],"circle_positions":800,"cycle_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":[51,251,451,651,851,1051],"clock_positions":[51,251,451,651,851,1051],"native_values":[674,249,149,674,649,549],"rotation_degrees":15.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[674,249,149,674,649,549],"beta":{"interval_sums":[77451,79876,78001,81851,77476,78401],"interval_residues":[651,676,401,251,676,1],"display_cycle":[651,676,401,251,676,1],"intervals":[{"from_index":51,"to_index":251,"sum":77451,"residue":651},{"from_index":251,"to_index":451,"sum":79876,"residue":676},{"from_index":451,"to_index":651,"sum":78001,"residue":401},{"from_index":651,"to_index":851,"sum":81851,"residue":251},{"from_index":851,"to_index":1051,"sum":77476,"residue":676},{"from_index":1051,"to_index":51,"sum":78401,"residue":1}],"minimal_cycle":[651,676,401,251,676,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":651,"start_interval_clock_positions":[51,251],"circle_positions":800,"cycle_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":[52,252,452,652,852,1052],"clock_positions":[52,252,452,652,852,1052],"native_values":[99,624,749,499,624,349],"rotation_degrees":15.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[99,624,749,499,624,349],"beta":{"interval_sums":[77601,79401,77926,82001,77401,78726],"interval_residues":[1,201,326,401,601,326],"display_cycle":[1,201,326,401,601,326],"intervals":[{"from_index":52,"to_index":252,"sum":77601,"residue":1},{"from_index":252,"to_index":452,"sum":79401,"residue":201},{"from_index":452,"to_index":652,"sum":77926,"residue":326},{"from_index":652,"to_index":852,"sum":82001,"residue":401},{"from_index":852,"to_index":1052,"sum":77401,"residue":601},{"from_index":1052,"to_index":52,"sum":78726,"residue":326}],"minimal_cycle":[1,201,326,401,601,326],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":1,"start_interval_clock_positions":[52,252],"circle_positions":800,"cycle_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":[53,253,453,653,853,1053],"clock_positions":[53,253,453,653,853,1053],"native_values":[773,73,98,373,473,98],"rotation_degrees":15.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[773,73,98,373,473,98],"beta":{"interval_sums":[77452,80077,78327,82252,77277,78727],"interval_residues":[652,77,727,652,477,327],"display_cycle":[652,77,727,652,477,327],"intervals":[{"from_index":53,"to_index":253,"sum":77452,"residue":652},{"from_index":253,"to_index":453,"sum":80077,"residue":77},{"from_index":453,"to_index":653,"sum":78327,"residue":727},{"from_index":653,"to_index":853,"sum":82252,"residue":652},{"from_index":853,"to_index":1053,"sum":77277,"residue":477},{"from_index":1053,"to_index":53,"sum":78727,"residue":327}],"minimal_cycle":[652,77,727,652,477,327],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":652,"start_interval_clock_positions":[53,253],"circle_positions":800,"cycle_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":[54,254,454,654,854,1054],"clock_positions":[54,254,454,654,854,1054],"native_values":[72,697,47,72,297,447],"rotation_degrees":16.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[72,697,47,72,297,447],"beta":{"interval_sums":[77453,79478,78653,82653,77078,79053],"interval_residues":[653,278,253,253,278,653],"display_cycle":[653,278,253,253,278,653],"intervals":[{"from_index":54,"to_index":254,"sum":77453,"residue":653},{"from_index":254,"to_index":454,"sum":79478,"residue":278},{"from_index":454,"to_index":654,"sum":78653,"residue":253},{"from_index":654,"to_index":854,"sum":82653,"residue":253},{"from_index":854,"to_index":1054,"sum":77078,"residue":278},{"from_index":1054,"to_index":54,"sum":79053,"residue":653}],"minimal_cycle":[653,278,253,253,278,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":653,"start_interval_clock_positions":[54,254],"circle_positions":800,"cycle_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":[55,255,455,655,855,1055],"clock_positions":[55,255,455,655,855,1055],"native_values":[45,770,145,445,770,545],"rotation_degrees":16.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[45,770,145,445,770,545],"beta":{"interval_sums":[78105,78755,78580,82505,76755,78580],"interval_residues":[505,355,180,105,755,180],"display_cycle":[505,355,180,105,755,180],"intervals":[{"from_index":55,"to_index":255,"sum":78105,"residue":505},{"from_index":255,"to_index":455,"sum":78755,"residue":355},{"from_index":455,"to_index":655,"sum":78580,"residue":180},{"from_index":655,"to_index":855,"sum":82505,"residue":105},{"from_index":855,"to_index":1055,"sum":76755,"residue":755},{"from_index":1055,"to_index":55,"sum":78580,"residue":180}],"minimal_cycle":[505,355,180,105,755,180],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[55,255],"circle_positions":800,"cycle_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":[56,256,456,656,856,1056],"clock_positions":[56,256,456,656,856,1056],"native_values":[117,667,192,517,267,192],"rotation_degrees":16.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,667,192,517,267,192],"beta":{"interval_sums":[78758,78233,78833,82758,77033,78433],"interval_residues":[358,633,433,358,233,33],"display_cycle":[358,633,433,358,233,33],"intervals":[{"from_index":56,"to_index":256,"sum":78758,"residue":358},{"from_index":256,"to_index":456,"sum":78233,"residue":633},{"from_index":456,"to_index":656,"sum":78833,"residue":433},{"from_index":656,"to_index":856,"sum":82758,"residue":358},{"from_index":856,"to_index":1056,"sum":77033,"residue":233},{"from_index":1056,"to_index":56,"sum":78433,"residue":33}],"minimal_cycle":[358,633,433,358,233,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":358,"start_interval_clock_positions":[56,256],"circle_positions":800,"cycle_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":[57,257,457,657,857,1057],"clock_positions":[57,257,457,657,857,1057],"native_values":[162,637,337,162,237,737],"rotation_degrees":17.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[162,637,337,162,237,737],"beta":{"interval_sums":[79263,77788,79013,82863,76988,77813],"interval_residues":[63,188,613,463,188,213],"display_cycle":[63,188,613,463,188,213],"intervals":[{"from_index":57,"to_index":257,"sum":79263,"residue":63},{"from_index":257,"to_index":457,"sum":77788,"residue":188},{"from_index":457,"to_index":657,"sum":79013,"residue":613},{"from_index":657,"to_index":857,"sum":82863,"residue":463},{"from_index":857,"to_index":1057,"sum":76988,"residue":188},{"from_index":1057,"to_index":57,"sum":77813,"residue":213}],"minimal_cycle":[63,188,613,463,188,213],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":63,"start_interval_clock_positions":[57,257],"circle_positions":800,"cycle_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":[58,258,458,658,858,1058],"clock_positions":[58,258,458,658,858,1058],"native_values":[279,504,529,679,504,129],"rotation_degrees":17.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[279,504,529,679,504,129],"beta":{"interval_sums":[79621,77621,78646,82421,77221,77846],"interval_residues":[421,21,246,21,421,246],"display_cycle":[421,21,246,21,421,246],"intervals":[{"from_index":58,"to_index":258,"sum":79621,"residue":421},{"from_index":258,"to_index":458,"sum":77621,"residue":21},{"from_index":458,"to_index":658,"sum":78646,"residue":246},{"from_index":658,"to_index":858,"sum":82421,"residue":21},{"from_index":858,"to_index":1058,"sum":77221,"residue":421},{"from_index":1058,"to_index":58,"sum":77846,"residue":246}],"minimal_cycle":[421,21,246,21,421,246],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":421,"start_interval_clock_positions":[58,258],"circle_positions":800,"cycle_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":[59,259,459,659,859,1059],"clock_positions":[59,259,459,659,859,1059],"native_values":[441,341,66,41,741,66],"rotation_degrees":17.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[441,341,66,41,741,66],"beta":{"interval_sums":[79684,77809,79259,82884,76609,78059],"interval_residues":[484,209,59,484,609,459],"display_cycle":[484,209,59,484,609,459],"intervals":[{"from_index":59,"to_index":259,"sum":79684,"residue":484},{"from_index":259,"to_index":459,"sum":77809,"residue":209},{"from_index":459,"to_index":659,"sum":79259,"residue":59},{"from_index":659,"to_index":859,"sum":82884,"residue":484},{"from_index":859,"to_index":1059,"sum":76609,"residue":609},{"from_index":1059,"to_index":59,"sum":78059,"residue":459}],"minimal_cycle":[484,209,59,484,609,459],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":484,"start_interval_clock_positions":[59,259],"circle_positions":800,"cycle_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":[60,260,460,660,860,1060],"clock_positions":[60,260,460,660,860,1060],"native_values":[720,45,595,720,445,195],"rotation_degrees":18.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[720,45,595,720,445,195],"beta":{"interval_sums":[79305,77830,78705,82905,76230,78305],"interval_residues":[105,230,305,505,230,705],"display_cycle":[105,230,305,505,230,705],"intervals":[{"from_index":60,"to_index":260,"sum":79305,"residue":105},{"from_index":260,"to_index":460,"sum":77830,"residue":230},{"from_index":460,"to_index":660,"sum":78705,"residue":305},{"from_index":660,"to_index":860,"sum":82905,"residue":505},{"from_index":860,"to_index":1060,"sum":76230,"residue":230},{"from_index":1060,"to_index":60,"sum":78305,"residue":705}],"minimal_cycle":[105,230,305,505,230,705],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":105,"start_interval_clock_positions":[60,260],"circle_positions":800,"cycle_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":[61,261,461,661,861,1061],"clock_positions":[61,261,461,661,861,1061],"native_values":[361,386,661,761,386,261],"rotation_degrees":18.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[361,386,661,761,386,261],"beta":{"interval_sums":[78989,78039,78764,82589,76039,78764],"interval_residues":[589,439,364,189,39,364],"display_cycle":[589,439,364,189,39,364],"intervals":[{"from_index":61,"to_index":261,"sum":78989,"residue":589},{"from_index":261,"to_index":461,"sum":78039,"residue":439},{"from_index":461,"to_index":661,"sum":78764,"residue":364},{"from_index":661,"to_index":861,"sum":82589,"residue":189},{"from_index":861,"to_index":1061,"sum":76039,"residue":39},{"from_index":1061,"to_index":61,"sum":78764,"residue":364}],"minimal_cycle":[589,439,364,189,39,364],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":589,"start_interval_clock_positions":[61,261],"circle_positions":800,"cycle_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":[62,262,462,662,862,1062],"clock_positions":[62,262,462,662,862,1062],"native_values":[281,431,456,681,31,456],"rotation_degrees":18.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,431,456,681,31,456],"beta":{"interval_sums":[79094,78269,79069,82294,76269,78669],"interval_residues":[694,669,669,694,269,269],"display_cycle":[694,669,669,694,269,269],"intervals":[{"from_index":62,"to_index":262,"sum":79094,"residue":694},{"from_index":262,"to_index":462,"sum":78269,"residue":669},{"from_index":462,"to_index":662,"sum":79069,"residue":669},{"from_index":662,"to_index":862,"sum":82294,"residue":694},{"from_index":862,"to_index":1062,"sum":76269,"residue":269},{"from_index":1062,"to_index":62,"sum":78669,"residue":269}],"minimal_cycle":[694,669,669,694,269,269],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":694,"start_interval_clock_positions":[62,262],"circle_positions":800,"cycle_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":[63,263,463,663,863,1063],"clock_positions":[63,263,463,663,863,1063],"native_values":[642,17,317,642,417,717],"rotation_degrees":18.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[642,17,317,642,417,717],"beta":{"interval_sums":[78883,78708,79433,81683,76308,78233],"interval_residues":[483,308,233,83,308,633],"display_cycle":[483,308,233,83,308,633],"intervals":[{"from_index":63,"to_index":263,"sum":78883,"residue":483},{"from_index":263,"to_index":463,"sum":78708,"residue":308},{"from_index":463,"to_index":663,"sum":79433,"residue":233},{"from_index":663,"to_index":863,"sum":81683,"residue":83},{"from_index":863,"to_index":1063,"sum":76308,"residue":308},{"from_index":1063,"to_index":63,"sum":78233,"residue":633}],"minimal_cycle":[483,308,233,83,308,633],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":483,"start_interval_clock_positions":[63,263],"circle_positions":800,"cycle_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":[64,264,464,664,864,1064],"clock_positions":[64,264,464,664,864,1064],"native_values":[123,448,773,523,448,373],"rotation_degrees":19.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[123,448,773,523,448,373],"beta":{"interval_sums":[78777,78577,79302,81577,76577,78502],"interval_residues":[377,177,102,777,577,102],"display_cycle":[377,177,102,777,577,102],"intervals":[{"from_index":64,"to_index":264,"sum":78777,"residue":377},{"from_index":264,"to_index":464,"sum":78577,"residue":177},{"from_index":464,"to_index":664,"sum":79302,"residue":102},{"from_index":664,"to_index":864,"sum":81577,"residue":777},{"from_index":864,"to_index":1064,"sum":76577,"residue":577},{"from_index":1064,"to_index":64,"sum":78502,"residue":102}],"minimal_cycle":[377,177,102,777,577,102],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":377,"start_interval_clock_positions":[64,264],"circle_positions":800,"cycle_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":[65,265,465,665,865,1065],"clock_positions":[65,265,465,665,865,1065],"native_values":[765,465,290,365,65,290],"rotation_degrees":19.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[765,465,290,365,65,290],"beta":{"interval_sums":[78460,78885,79535,81660,76885,78335],"interval_residues":[60,485,335,60,85,735],"display_cycle":[60,485,335,60,85,735],"intervals":[{"from_index":65,"to_index":265,"sum":78460,"residue":60},{"from_index":265,"to_index":465,"sum":78885,"residue":485},{"from_index":465,"to_index":665,"sum":79535,"residue":335},{"from_index":665,"to_index":865,"sum":81660,"residue":60},{"from_index":865,"to_index":1065,"sum":76885,"residue":85},{"from_index":1065,"to_index":65,"sum":78335,"residue":735}],"minimal_cycle":[60,485,335,60,85,735],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":60,"start_interval_clock_positions":[65,265],"circle_positions":800,"cycle_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":[66,266,466,666,866,1066],"clock_positions":[66,266,466,666,866,1066],"native_values":[88,113,263,88,513,663],"rotation_degrees":19.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[88,113,263,88,513,663],"beta":{"interval_sums":[78837,79062,79637,81637,76662,78437],"interval_residues":[437,662,437,37,662,37],"display_cycle":[437,662,437,37,662,37],"intervals":[{"from_index":66,"to_index":266,"sum":78837,"residue":437},{"from_index":266,"to_index":466,"sum":79062,"residue":662},{"from_index":466,"to_index":666,"sum":79637,"residue":437},{"from_index":666,"to_index":866,"sum":81637,"residue":37},{"from_index":866,"to_index":1066,"sum":76662,"residue":662},{"from_index":1066,"to_index":66,"sum":78437,"residue":37}],"minimal_cycle":[437,662,437,37,662,37],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":437,"start_interval_clock_positions":[66,266],"circle_positions":800,"cycle_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":[67,267,467,667,867,1067],"clock_positions":[67,267,467,667,867,1067],"native_values":[53,578,553,453,578,153],"rotation_degrees":20.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,578,553,453,578,153],"beta":{"interval_sums":[78897,78747,79172,81697,76747,78372],"interval_residues":[497,347,772,97,747,772],"display_cycle":[497,347,772,97,747,772],"intervals":[{"from_index":67,"to_index":267,"sum":78897,"residue":497},{"from_index":267,"to_index":467,"sum":78747,"residue":347},{"from_index":467,"to_index":667,"sum":79172,"residue":772},{"from_index":667,"to_index":867,"sum":81697,"residue":97},{"from_index":867,"to_index":1067,"sum":76747,"residue":747},{"from_index":1067,"to_index":67,"sum":78372,"residue":772}],"minimal_cycle":[497,347,772,97,747,772],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":497,"start_interval_clock_positions":[67,267],"circle_positions":800,"cycle_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":[68,268,468,668,868,1068],"clock_positions":[68,268,468,668,868,1068],"native_values":[141,691,16,541,291,16],"rotation_degrees":20.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[141,691,16,541,291,16],"beta":{"interval_sums":[79334,78609,79609,81734,76609,78409],"interval_residues":[134,209,409,134,609,9],"display_cycle":[134,209,409,134,609,9],"intervals":[{"from_index":68,"to_index":268,"sum":79334,"residue":134},{"from_index":268,"to_index":468,"sum":78609,"residue":209},{"from_index":468,"to_index":668,"sum":79609,"residue":409},{"from_index":668,"to_index":868,"sum":81734,"residue":134},{"from_index":868,"to_index":1068,"sum":76609,"residue":609},{"from_index":1068,"to_index":68,"sum":78409,"residue":9}],"minimal_cycle":[134,209,409,134,609,9],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":134,"start_interval_clock_positions":[68,268],"circle_positions":800,"cycle_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":[69,269,469,669,869,1069],"clock_positions":[69,269,469,669,869,1069],"native_values":[194,469,569,194,69,169],"rotation_degrees":20.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[194,469,569,194,69,169],"beta":{"interval_sums":[79831,78156,79581,81831,76556,78381],"interval_residues":[631,556,381,231,556,781],"display_cycle":[631,556,381,231,556,781],"intervals":[{"from_index":69,"to_index":269,"sum":79831,"residue":631},{"from_index":269,"to_index":469,"sum":78156,"residue":556},{"from_index":469,"to_index":669,"sum":79581,"residue":381},{"from_index":669,"to_index":869,"sum":81831,"residue":231},{"from_index":869,"to_index":1069,"sum":76556,"residue":556},{"from_index":1069,"to_index":69,"sum":78381,"residue":781}],"minimal_cycle":[631,556,381,231,556,781],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":631,"start_interval_clock_positions":[69,269],"circle_positions":800,"cycle_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":[70,270,470,670,870,1070],"clock_positions":[70,270,470,670,870,1070],"native_values":[335,360,585,735,360,185],"rotation_degrees":21.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[335,360,585,735,360,185],"beta":{"interval_sums":[79965,78365,79190,81165,76365,78390],"interval_residues":[765,765,790,365,365,790],"display_cycle":[765,765,790,365,365,790],"intervals":[{"from_index":70,"to_index":270,"sum":79965,"residue":765},{"from_index":270,"to_index":470,"sum":78365,"residue":765},{"from_index":470,"to_index":670,"sum":79190,"residue":790},{"from_index":670,"to_index":870,"sum":81165,"residue":365},{"from_index":870,"to_index":1070,"sum":76365,"residue":365},{"from_index":1070,"to_index":70,"sum":78390,"residue":790}],"minimal_cycle":[765,765,790,365,365,790],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":765,"start_interval_clock_positions":[70,270],"circle_positions":800,"cycle_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":[71,271,471,671,871,1071],"clock_positions":[71,271,471,671,871,1071],"native_values":[529,29,354,129,429,354],"rotation_degrees":21.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[529,29,354,129,429,354],"beta":{"interval_sums":[79796,78921,79571,81396,76121,78371],"interval_residues":[596,521,371,596,121,771],"display_cycle":[596,521,371,596,121,771],"intervals":[{"from_index":71,"to_index":271,"sum":79796,"residue":596},{"from_index":271,"to_index":471,"sum":78921,"residue":521},{"from_index":471,"to_index":671,"sum":79571,"residue":371},{"from_index":671,"to_index":871,"sum":81396,"residue":596},{"from_index":871,"to_index":1071,"sum":76121,"residue":121},{"from_index":1071,"to_index":71,"sum":78371,"residue":771}],"minimal_cycle":[596,521,371,596,121,771],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":596,"start_interval_clock_positions":[71,271],"circle_positions":800,"cycle_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":[72,272,472,672,872,1072],"clock_positions":[72,272,472,672,872,1072],"native_values":[64,389,139,64,789,539],"rotation_degrees":21.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[64,389,139,64,789,539],"beta":{"interval_sums":[79761,78886,79561,81761,75686,78361],"interval_residues":[561,486,361,161,486,761],"display_cycle":[561,486,361,161,486,761],"intervals":[{"from_index":72,"to_index":272,"sum":79761,"residue":561},{"from_index":272,"to_index":472,"sum":78886,"residue":486},{"from_index":472,"to_index":672,"sum":79561,"residue":361},{"from_index":672,"to_index":872,"sum":81761,"residue":161},{"from_index":872,"to_index":1072,"sum":75686,"residue":486},{"from_index":1072,"to_index":72,"sum":78361,"residue":761}],"minimal_cycle":[561,486,361,161,486,761],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[72,272],"circle_positions":800,"cycle_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":[73,273,473,673,873,1073],"clock_positions":[73,273,473,673,873,1073],"native_values":[593,418,493,193,418,93],"rotation_degrees":21.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[593,418,493,193,418,93],"beta":{"interval_sums":[79557,78607,79132,82357,75807,78332],"interval_residues":[357,207,732,757,607,732],"display_cycle":[357,207,732,757,607,732],"intervals":[{"from_index":73,"to_index":273,"sum":79557,"residue":357},{"from_index":273,"to_index":473,"sum":78607,"residue":207},{"from_index":473,"to_index":673,"sum":79132,"residue":732},{"from_index":673,"to_index":873,"sum":82357,"residue":757},{"from_index":873,"to_index":1073,"sum":75807,"residue":607},{"from_index":1073,"to_index":73,"sum":78332,"residue":732}],"minimal_cycle":[357,207,732,757,607,732],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":357,"start_interval_clock_positions":[73,273],"circle_positions":800,"cycle_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":[74,274,474,674,874,1074],"clock_positions":[74,274,474,674,874,1074],"native_values":[657,7,632,257,407,632],"rotation_degrees":22.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[657,7,632,257,407,632],"beta":{"interval_sums":[79318,79093,78693,82518,75493,78293],"interval_residues":[118,693,293,118,293,693],"display_cycle":[118,693,293,118,293,693],"intervals":[{"from_index":74,"to_index":274,"sum":79318,"residue":118},{"from_index":274,"to_index":474,"sum":79093,"residue":693},{"from_index":474,"to_index":674,"sum":78693,"residue":293},{"from_index":674,"to_index":874,"sum":82518,"residue":118},{"from_index":874,"to_index":1074,"sum":75493,"residue":293},{"from_index":1074,"to_index":74,"sum":78293,"residue":693}],"minimal_cycle":[118,693,293,118,293,693],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":118,"start_interval_clock_positions":[74,274],"circle_positions":800,"cycle_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":[75,275,475,675,875,1075],"clock_positions":[75,275,475,675,875,1075],"native_values":[450,425,325,450,25,725],"rotation_degrees":22.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[450,425,325,450,25,725],"beta":{"interval_sums":[78875,79300,78625,82475,76100,78225],"interval_residues":[475,100,225,75,100,625],"display_cycle":[475,100,225,75,100,625],"intervals":[{"from_index":75,"to_index":275,"sum":78875,"residue":475},{"from_index":275,"to_index":475,"sum":79300,"residue":100},{"from_index":475,"to_index":675,"sum":78625,"residue":225},{"from_index":675,"to_index":875,"sum":82475,"residue":75},{"from_index":875,"to_index":1075,"sum":76100,"residue":100},{"from_index":1075,"to_index":75,"sum":78225,"residue":625}],"minimal_cycle":[475,100,225,75,100,625],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":475,"start_interval_clock_positions":[75,275],"circle_positions":800,"cycle_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":[76,276,476,676,876,1076],"clock_positions":[76,276,476,676,876,1076],"native_values":[307,432,157,707,432,557],"rotation_degrees":22.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[307,432,157,707,432,557],"beta":{"interval_sums":[78993,79193,78918,81793,76393,78118],"interval_residues":[593,793,518,193,393,518],"display_cycle":[593,793,518,193,393,518],"intervals":[{"from_index":76,"to_index":276,"sum":78993,"residue":593},{"from_index":276,"to_index":476,"sum":79193,"residue":793},{"from_index":476,"to_index":676,"sum":78918,"residue":518},{"from_index":676,"to_index":876,"sum":81793,"residue":193},{"from_index":876,"to_index":1076,"sum":76393,"residue":393},{"from_index":1076,"to_index":76,"sum":78118,"residue":518}],"minimal_cycle":[593,793,518,193,393,518],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":593,"start_interval_clock_positions":[76,276],"circle_positions":800,"cycle_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":[77,277,477,677,877,1077],"clock_positions":[77,277,477,677,877,1077],"native_values":[757,57,482,357,457,482],"rotation_degrees":23.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[757,57,482,357,457,482],"beta":{"interval_sums":[78668,79293,79143,81868,76493,77943],"interval_residues":[268,93,743,268,493,343],"display_cycle":[268,93,743,268,493,343],"intervals":[{"from_index":77,"to_index":277,"sum":78668,"residue":268},{"from_index":277,"to_index":477,"sum":79293,"residue":93},{"from_index":477,"to_index":677,"sum":79143,"residue":743},{"from_index":677,"to_index":877,"sum":81868,"residue":268},{"from_index":877,"to_index":1077,"sum":76493,"residue":493},{"from_index":1077,"to_index":77,"sum":77943,"residue":343}],"minimal_cycle":[268,93,743,268,493,343],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":268,"start_interval_clock_positions":[77,277],"circle_positions":800,"cycle_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":[78,278,478,678,878,1078],"clock_positions":[78,278,478,678,878,1078],"native_values":[264,489,639,264,89,239],"rotation_degrees":23.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[264,489,639,264,89,239],"beta":{"interval_sums":[78461,79286,78861,82061,76886,78461],"interval_residues":[61,86,461,461,86,61],"display_cycle":[61,86,461,461,86,61],"intervals":[{"from_index":78,"to_index":278,"sum":78461,"residue":61},{"from_index":278,"to_index":478,"sum":79286,"residue":86},{"from_index":478,"to_index":678,"sum":78861,"residue":461},{"from_index":678,"to_index":878,"sum":82061,"residue":461},{"from_index":878,"to_index":1078,"sum":76886,"residue":86},{"from_index":1078,"to_index":78,"sum":78461,"residue":61}],"minimal_cycle":[61,86,461,461,86,61],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":61,"start_interval_clock_positions":[78,278],"circle_positions":800,"cycle_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":[79,279,479,679,879,1079],"clock_positions":[79,279,479,679,879,1079],"native_values":[221,546,321,621,546,721],"rotation_degrees":23.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[221,546,321,621,546,721],"beta":{"interval_sums":[78729,79379,78804,81529,76579,78004],"interval_residues":[329,179,404,729,579,404],"display_cycle":[329,179,404,729,579,404],"intervals":[{"from_index":79,"to_index":279,"sum":78729,"residue":329},{"from_index":279,"to_index":479,"sum":79379,"residue":179},{"from_index":479,"to_index":679,"sum":78804,"residue":404},{"from_index":679,"to_index":879,"sum":81529,"residue":729},{"from_index":879,"to_index":1079,"sum":76579,"residue":579},{"from_index":1079,"to_index":79,"sum":78004,"residue":404}],"minimal_cycle":[329,179,404,729,579,404],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":329,"start_interval_clock_positions":[79,279],"circle_positions":800,"cycle_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":[80,280,480,680,880,1080],"clock_positions":[80,280,480,680,880,1080],"native_values":[485,235,160,85,635,160],"rotation_degrees":24.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[485,235,160,85,635,160],"beta":{"interval_sums":[78790,79465,79265,81990,76665,78065],"interval_residues":[390,265,65,390,665,465],"display_cycle":[390,265,65,390,665,465],"intervals":[{"from_index":80,"to_index":280,"sum":78790,"residue":390},{"from_index":280,"to_index":480,"sum":79465,"residue":265},{"from_index":480,"to_index":680,"sum":79265,"residue":65},{"from_index":680,"to_index":880,"sum":81990,"residue":390},{"from_index":880,"to_index":1080,"sum":76665,"residue":665},{"from_index":1080,"to_index":80,"sum":78065,"residue":465}],"minimal_cycle":[390,265,65,390,665,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":390,"start_interval_clock_positions":[80,280],"circle_positions":800,"cycle_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":[81,281,481,681,881,1081],"clock_positions":[81,281,481,681,881,1081],"native_values":[706,781,481,706,381,81],"rotation_degrees":24.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[706,781,481,706,381,81],"beta":{"interval_sums":[78319,78844,78869,81919,76444,78469],"interval_residues":[719,444,469,319,444,69],"display_cycle":[719,444,469,319,444,69],"intervals":[{"from_index":81,"to_index":281,"sum":78319,"residue":719},{"from_index":281,"to_index":481,"sum":78844,"residue":444},{"from_index":481,"to_index":681,"sum":78869,"residue":469},{"from_index":681,"to_index":881,"sum":81919,"residue":319},{"from_index":881,"to_index":1081,"sum":76444,"residue":444},{"from_index":1081,"to_index":81,"sum":78469,"residue":69}],"minimal_cycle":[719,444,469,319,444,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":719,"start_interval_clock_positions":[81,281],"circle_positions":800,"cycle_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":[82,282,482,682,882,1082],"clock_positions":[82,282,482,682,882,1082],"native_values":[391,216,641,791,216,241],"rotation_degrees":24.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[391,216,641,791,216,241],"beta":{"interval_sums":[78709,79109,78934,81509,76309,78934],"interval_residues":[309,709,534,709,309,534],"display_cycle":[309,709,534,709,309,534],"intervals":[{"from_index":82,"to_index":282,"sum":78709,"residue":309},{"from_index":282,"to_index":482,"sum":79109,"residue":709},{"from_index":482,"to_index":682,"sum":78934,"residue":534},{"from_index":682,"to_index":882,"sum":81509,"residue":709},{"from_index":882,"to_index":1082,"sum":76309,"residue":309},{"from_index":1082,"to_index":82,"sum":78934,"residue":534}],"minimal_cycle":[309,709,534,709,309,534],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":309,"start_interval_clock_positions":[82,282],"circle_positions":800,"cycle_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":[83,283,483,683,883,1083],"clock_positions":[83,283,483,683,883,1083],"native_values":[297,197,322,697,597,322],"rotation_degrees":24.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[297,197,322,697,597,322],"beta":{"interval_sums":[78628,79553,79403,81028,75953,79003],"interval_residues":[228,353,203,228,753,603],"display_cycle":[228,353,203,228,753,603],"intervals":[{"from_index":83,"to_index":283,"sum":78628,"residue":228},{"from_index":283,"to_index":483,"sum":79553,"residue":353},{"from_index":483,"to_index":683,"sum":79403,"residue":203},{"from_index":683,"to_index":883,"sum":81028,"residue":228},{"from_index":883,"to_index":1083,"sum":75953,"residue":753},{"from_index":1083,"to_index":83,"sum":79003,"residue":603}],"minimal_cycle":[228,353,203,228,753,603],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":228,"start_interval_clock_positions":[83,283],"circle_positions":800,"cycle_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":[84,284,484,684,884,1084],"clock_positions":[84,284,484,684,884,1084],"native_values":[688,413,163,688,13,563],"rotation_degrees":25.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[688,413,163,688,13,563],"beta":{"interval_sums":[78137,79462,79937,80937,76262,78737],"interval_residues":[537,262,737,137,262,337],"display_cycle":[537,262,737,137,262,337],"intervals":[{"from_index":84,"to_index":284,"sum":78137,"residue":537},{"from_index":284,"to_index":484,"sum":79462,"residue":262},{"from_index":484,"to_index":684,"sum":79937,"residue":737},{"from_index":684,"to_index":884,"sum":80937,"residue":137},{"from_index":884,"to_index":1084,"sum":76262,"residue":262},{"from_index":1084,"to_index":84,"sum":78737,"residue":337}],"minimal_cycle":[537,262,737,137,262,337],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":537,"start_interval_clock_positions":[84,284],"circle_positions":800,"cycle_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":[85,285,485,685,885,1085],"clock_positions":[85,285,485,685,885,1085],"native_values":[185,610,485,585,610,85],"rotation_degrees":25.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[185,610,485,585,610,85],"beta":{"interval_sums":[78365,79015,80140,80365,76215,79340],"interval_residues":[765,615,140,365,215,140],"display_cycle":[765,615,140,365,215,140],"intervals":[{"from_index":85,"to_index":285,"sum":78365,"residue":765},{"from_index":285,"to_index":485,"sum":79015,"residue":615},{"from_index":485,"to_index":685,"sum":80140,"residue":140},{"from_index":685,"to_index":885,"sum":80365,"residue":365},{"from_index":885,"to_index":1085,"sum":76215,"residue":215},{"from_index":1085,"to_index":85,"sum":79340,"residue":140}],"minimal_cycle":[765,615,140,365,215,140],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":765,"start_interval_clock_positions":[85,285],"circle_positions":800,"cycle_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":[86,286,486,686,886,1086],"clock_positions":[86,286,486,686,886,1086],"native_values":[73,223,648,473,623,648],"rotation_degrees":25.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[73,223,648,473,623,648],"beta":{"interval_sums":[78902,79277,80077,80502,75677,78877],"interval_residues":[502,77,77,502,477,477],"display_cycle":[502,77,77,502,477,477],"intervals":[{"from_index":86,"to_index":286,"sum":78902,"residue":502},{"from_index":286,"to_index":486,"sum":79277,"residue":77},{"from_index":486,"to_index":686,"sum":80077,"residue":77},{"from_index":686,"to_index":886,"sum":80502,"residue":502},{"from_index":886,"to_index":1086,"sum":75677,"residue":477},{"from_index":1086,"to_index":86,"sum":78877,"residue":477}],"minimal_cycle":[502,77,77,502,477,477],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":502,"start_interval_clock_positions":[86,286],"circle_positions":800,"cycle_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":[87,287,487,687,887,1087],"clock_positions":[87,287,487,687,887,1087],"native_values":[258,33,333,258,433,733],"rotation_degrees":26.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[258,33,333,258,433,733],"beta":{"interval_sums":[78867,79892,80217,80867,75892,78217],"interval_residues":[467,692,217,67,692,617],"display_cycle":[467,692,217,67,692,617],"intervals":[{"from_index":87,"to_index":287,"sum":78867,"residue":467},{"from_index":287,"to_index":487,"sum":79892,"residue":692},{"from_index":487,"to_index":687,"sum":80217,"residue":217},{"from_index":687,"to_index":887,"sum":80867,"residue":67},{"from_index":887,"to_index":1087,"sum":75892,"residue":692},{"from_index":1087,"to_index":87,"sum":78217,"residue":617}],"minimal_cycle":[467,692,217,67,692,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":467,"start_interval_clock_positions":[87,287],"circle_positions":800,"cycle_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":[88,288,488,688,888,1088],"clock_positions":[88,288,488,688,888,1088],"native_values":[331,256,181,731,256,581],"rotation_degrees":26.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[331,256,181,731,256,581],"beta":{"interval_sums":[78569,79969,80294,80569,76369,77894],"interval_residues":[169,769,294,569,369,294],"display_cycle":[169,769,294,569,369,294],"intervals":[{"from_index":88,"to_index":288,"sum":78569,"residue":169},{"from_index":288,"to_index":488,"sum":79969,"residue":769},{"from_index":488,"to_index":688,"sum":80294,"residue":294},{"from_index":688,"to_index":888,"sum":80569,"residue":569},{"from_index":888,"to_index":1088,"sum":76369,"residue":369},{"from_index":1088,"to_index":88,"sum":77894,"residue":294}],"minimal_cycle":[169,769,294,569,369,294],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":169,"start_interval_clock_positions":[88,288],"circle_positions":800,"cycle_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":[89,289,489,689,889,1089],"clock_positions":[89,289,489,689,889,1089],"native_values":[589,289,514,189,689,514],"rotation_degrees":26.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[589,289,514,189,689,514],"beta":{"interval_sums":[78236,79861,80511,80636,76261,77711],"interval_residues":[636,661,511,636,261,111],"display_cycle":[636,661,511,636,261,111],"intervals":[{"from_index":89,"to_index":289,"sum":78236,"residue":636},{"from_index":289,"to_index":489,"sum":79861,"residue":661},{"from_index":489,"to_index":689,"sum":80511,"residue":511},{"from_index":689,"to_index":889,"sum":80636,"residue":636},{"from_index":889,"to_index":1089,"sum":76261,"residue":261},{"from_index":1089,"to_index":89,"sum":77711,"residue":111}],"minimal_cycle":[636,661,511,636,261,111],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":636,"start_interval_clock_positions":[89,289],"circle_positions":800,"cycle_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":[90,290,490,690,890,1090],"clock_positions":[90,290,490,690,890,1090],"native_values":[120,545,695,120,145,295],"rotation_degrees":27.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[120,545,695,120,145,295],"beta":{"interval_sums":[78405,79830,80005,81205,76630,78005],"interval_residues":[5,630,5,405,630,405],"display_cycle":[5,630,5,405,630,405],"intervals":[{"from_index":90,"to_index":290,"sum":78405,"residue":5},{"from_index":290,"to_index":490,"sum":79830,"residue":630},{"from_index":490,"to_index":690,"sum":80005,"residue":5},{"from_index":690,"to_index":890,"sum":81205,"residue":405},{"from_index":890,"to_index":1090,"sum":76630,"residue":630},{"from_index":1090,"to_index":90,"sum":78005,"residue":405}],"minimal_cycle":[5,630,5,405,630,405],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":5,"start_interval_clock_positions":[90,290],"circle_positions":800,"cycle_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":[91,291,491,691,891,1091],"clock_positions":[91,291,491,691,891,1091],"native_values":[709,34,409,309,34,9],"rotation_degrees":27.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[709,34,409,309,34,9],"beta":{"interval_sums":[78241,80491,79716,81041,76891,78116],"interval_residues":[641,491,516,241,91,516],"display_cycle":[641,491,516,241,91,516],"intervals":[{"from_index":91,"to_index":291,"sum":78241,"residue":641},{"from_index":291,"to_index":491,"sum":80491,"residue":491},{"from_index":491,"to_index":691,"sum":79716,"residue":516},{"from_index":691,"to_index":891,"sum":81041,"residue":241},{"from_index":891,"to_index":1091,"sum":76891,"residue":91},{"from_index":1091,"to_index":91,"sum":78116,"residue":516}],"minimal_cycle":[641,491,516,241,91,516],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":641,"start_interval_clock_positions":[91,291],"circle_positions":800,"cycle_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":[92,292,492,692,892,1092],"clock_positions":[92,292,492,692,892,1092],"native_values":[29,579,304,429,179,304],"rotation_degrees":27.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[29,579,304,429,179,304],"beta":{"interval_sums":[78246,80321,79721,80646,76721,78521],"interval_residues":[646,321,521,646,721,121],"display_cycle":[646,321,521,646,721,121],"intervals":[{"from_index":92,"to_index":292,"sum":78246,"residue":646},{"from_index":292,"to_index":492,"sum":80321,"residue":321},{"from_index":492,"to_index":692,"sum":79721,"residue":521},{"from_index":692,"to_index":892,"sum":80646,"residue":646},{"from_index":892,"to_index":1092,"sum":76721,"residue":721},{"from_index":1092,"to_index":92,"sum":78521,"residue":121}],"minimal_cycle":[646,321,521,646,721,121],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":646,"start_interval_clock_positions":[92,292],"circle_positions":800,"cycle_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":[93,293,493,693,893,1093],"clock_positions":[93,293,493,693,893,1093],"native_values":[738,613,713,738,213,313],"rotation_degrees":27.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[738,613,713,738,213,313],"beta":{"interval_sums":[78087,80012,79437,80087,76812,78237],"interval_residues":[487,12,237,87,12,637],"display_cycle":[487,12,237,87,12,637],"intervals":[{"from_index":93,"to_index":293,"sum":78087,"residue":487},{"from_index":293,"to_index":493,"sum":80012,"residue":12},{"from_index":493,"to_index":693,"sum":79437,"residue":237},{"from_index":693,"to_index":893,"sum":80087,"residue":87},{"from_index":893,"to_index":1093,"sum":76812,"residue":12},{"from_index":1093,"to_index":93,"sum":78237,"residue":637}],"minimal_cycle":[487,12,237,87,12,637],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":487,"start_interval_clock_positions":[93,293],"circle_positions":800,"cycle_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":[94,294,494,694,894,1094],"clock_positions":[94,294,494,694,894,1094],"native_values":[767,392,217,367,392,617],"rotation_degrees":28.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[767,392,217,367,392,617],"beta":{"interval_sums":[77933,80333,79958,79933,76733,78358],"interval_residues":[333,333,758,733,733,758],"display_cycle":[333,333,758,733,733,758],"intervals":[{"from_index":94,"to_index":294,"sum":77933,"residue":333},{"from_index":294,"to_index":494,"sum":80333,"residue":333},{"from_index":494,"to_index":694,"sum":79958,"residue":758},{"from_index":694,"to_index":894,"sum":79933,"residue":733},{"from_index":894,"to_index":1094,"sum":76733,"residue":733},{"from_index":1094,"to_index":94,"sum":78358,"residue":758}],"minimal_cycle":[333,333,758,733,733,758],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":333,"start_interval_clock_positions":[94,294],"circle_positions":800,"cycle_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":[95,295,495,695,895,1095],"clock_positions":[95,295,495,695,895,1095],"native_values":[705,205,130,305,605,130],"rotation_degrees":28.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[705,205,130,305,605,130],"beta":{"interval_sums":[77620,80345,80195,80020,76745,78995],"interval_residues":[20,345,195,20,745,595],"display_cycle":[20,345,195,20,745,595],"intervals":[{"from_index":95,"to_index":295,"sum":77620,"residue":20},{"from_index":295,"to_index":495,"sum":80345,"residue":345},{"from_index":495,"to_index":695,"sum":80195,"residue":195},{"from_index":695,"to_index":895,"sum":80020,"residue":20},{"from_index":895,"to_index":1095,"sum":76745,"residue":745},{"from_index":1095,"to_index":95,"sum":78995,"residue":595}],"minimal_cycle":[20,345,195,20,745,595],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":20,"start_interval_clock_positions":[95,295],"circle_positions":800,"cycle_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":[96,296,496,696,896,1096],"clock_positions":[96,296,496,696,896,1096],"native_values":[672,597,347,672,197,747],"rotation_degrees":28.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[672,597,347,672,197,747],"beta":{"interval_sums":[77153,79878,80153,79953,76678,78953],"interval_residues":[353,678,153,753,678,553],"display_cycle":[353,678,153,753,678,553],"intervals":[{"from_index":96,"to_index":296,"sum":77153,"residue":353},{"from_index":296,"to_index":496,"sum":79878,"residue":678},{"from_index":496,"to_index":696,"sum":80153,"residue":153},{"from_index":696,"to_index":896,"sum":79953,"residue":753},{"from_index":896,"to_index":1096,"sum":76678,"residue":678},{"from_index":1096,"to_index":96,"sum":78953,"residue":553}],"minimal_cycle":[353,678,153,753,678,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[96,296],"circle_positions":800,"cycle_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":[97,297,497,697,897,1097],"clock_positions":[97,297,497,697,897,1097],"native_values":[577,2,477,177,2,77],"rotation_degrees":29.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[577,2,477,177,2,77],"beta":{"interval_sums":[77173,80223,80348,79973,77423,79548],"interval_residues":[373,223,348,773,623,348],"display_cycle":[373,223,348,773,623,348],"intervals":[{"from_index":97,"to_index":297,"sum":77173,"residue":373},{"from_index":297,"to_index":497,"sum":80223,"residue":223},{"from_index":497,"to_index":697,"sum":80348,"residue":348},{"from_index":697,"to_index":897,"sum":79973,"residue":773},{"from_index":897,"to_index":1097,"sum":77423,"residue":623},{"from_index":1097,"to_index":97,"sum":79548,"residue":348}],"minimal_cycle":[373,223,348,773,623,348],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":373,"start_interval_clock_positions":[97,297],"circle_positions":800,"cycle_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":[98,298,498,698,898,1098],"clock_positions":[98,298,498,698,898,1098],"native_values":[449,599,24,49,199,24],"rotation_degrees":29.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[449,599,24,49,199,24],"beta":{"interval_sums":[76726,80101,80501,79926,77301,80101],"interval_residues":[726,101,501,726,501,101],"display_cycle":[726,101,501,726,501,101],"intervals":[{"from_index":98,"to_index":298,"sum":76726,"residue":726},{"from_index":298,"to_index":498,"sum":80101,"residue":101},{"from_index":498,"to_index":698,"sum":80501,"residue":501},{"from_index":698,"to_index":898,"sum":79926,"residue":726},{"from_index":898,"to_index":1098,"sum":77301,"residue":501},{"from_index":1098,"to_index":98,"sum":80101,"residue":101}],"minimal_cycle":[726,101,501,726,501,101],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":726,"start_interval_clock_positions":[98,298],"circle_positions":800,"cycle_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":[99,299,499,699,899,1099],"clock_positions":[99,299,499,699,899,1099],"native_values":[226,601,501,226,201,101],"rotation_degrees":29.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[226,601,501,226,201,101],"beta":{"interval_sums":[77099,79524,80049,79899,77124,80449],"interval_residues":[299,324,49,699,324,449],"display_cycle":[299,324,49,699,324,449],"intervals":[{"from_index":99,"to_index":299,"sum":77099,"residue":299},{"from_index":299,"to_index":499,"sum":79524,"residue":324},{"from_index":499,"to_index":699,"sum":80049,"residue":49},{"from_index":699,"to_index":899,"sum":79899,"residue":699},{"from_index":899,"to_index":1099,"sum":77124,"residue":324},{"from_index":1099,"to_index":99,"sum":80449,"residue":449}],"minimal_cycle":[299,324,49,699,324,449],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":299,"start_interval_clock_positions":[99,299],"circle_positions":800,"cycle_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":[100,300,500,700,900,1100],"clock_positions":[100,300,500,700,900,1100],"native_values":[675,400,525,275,400,125],"rotation_degrees":30.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[675,400,525,275,400,125],"beta":{"interval_sums":[77025,79625,79750,79825,76825,80550],"interval_residues":[225,425,550,625,25,550],"display_cycle":[225,425,550,625,25,550],"intervals":[{"from_index":100,"to_index":300,"sum":77025,"residue":225},{"from_index":300,"to_index":500,"sum":79625,"residue":425},{"from_index":500,"to_index":700,"sum":79750,"residue":550},{"from_index":700,"to_index":900,"sum":79825,"residue":625},{"from_index":900,"to_index":1100,"sum":76825,"residue":25},{"from_index":1100,"to_index":100,"sum":80550,"residue":550}],"minimal_cycle":[225,425,550,625,25,550],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":225,"start_interval_clock_positions":[100,300],"circle_positions":800,"cycle_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":[101,301,501,701,901,1101],"clock_positions":[101,301,501,701,901,1101],"native_values":[101,201,226,501,601,226],"rotation_degrees":30.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[101,201,226,501,601,226],"beta":{"interval_sums":[77324,79949,79799,79724,76349,80999],"interval_residues":[524,749,599,524,349,199],"display_cycle":[524,749,599,524,349,199],"intervals":[{"from_index":101,"to_index":301,"sum":77324,"residue":524},{"from_index":301,"to_index":501,"sum":79949,"residue":749},{"from_index":501,"to_index":701,"sum":79799,"residue":599},{"from_index":701,"to_index":901,"sum":79724,"residue":524},{"from_index":901,"to_index":1101,"sum":76349,"residue":349},{"from_index":1101,"to_index":101,"sum":80999,"residue":199}],"minimal_cycle":[524,749,599,524,349,199],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":524,"start_interval_clock_positions":[101,301],"circle_positions":800,"cycle_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":[102,302,502,702,902,1102],"clock_positions":[102,302,502,702,902,1102],"native_values":[776,601,751,776,201,351],"rotation_degrees":30.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[776,601,751,776,201,351],"beta":{"interval_sums":[76749,79574,79549,79549,76374,80749],"interval_residues":[749,374,349,349,374,749],"display_cycle":[749,374,349,349,374,749],"intervals":[{"from_index":102,"to_index":302,"sum":76749,"residue":749},{"from_index":302,"to_index":502,"sum":79574,"residue":374},{"from_index":502,"to_index":702,"sum":79549,"residue":349},{"from_index":702,"to_index":902,"sum":79549,"residue":349},{"from_index":902,"to_index":1102,"sum":76374,"residue":374},{"from_index":1102,"to_index":102,"sum":80749,"residue":749}],"minimal_cycle":[749,374,349,349,374,749],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":749,"start_interval_clock_positions":[102,302],"circle_positions":800,"cycle_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":[103,303,503,703,903,1103],"clock_positions":[103,303,503,703,903,1103],"native_values":[77,2,177,477,2,577],"rotation_degrees":30.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[77,2,177,477,2,577],"beta":{"interval_sums":[77273,80323,80148,79273,76723,80948],"interval_residues":[473,323,148,73,723,148],"display_cycle":[473,323,148,73,723,148],"intervals":[{"from_index":103,"to_index":303,"sum":77273,"residue":473},{"from_index":303,"to_index":503,"sum":80323,"residue":323},{"from_index":503,"to_index":703,"sum":80148,"residue":148},{"from_index":703,"to_index":903,"sum":79273,"residue":73},{"from_index":903,"to_index":1103,"sum":76723,"residue":723},{"from_index":1103,"to_index":103,"sum":80948,"residue":148}],"minimal_cycle":[473,323,148,73,723,148],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":473,"start_interval_clock_positions":[103,303],"circle_positions":800,"cycle_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":[104,304,504,704,904,1104],"clock_positions":[104,304,504,704,904,1104],"native_values":[53,603,128,453,203,128],"rotation_degrees":31.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[53,603,128,453,203,128],"beta":{"interval_sums":[77222,79897,80497,78822,77097,80897],"interval_residues":[422,697,497,422,297,97],"display_cycle":[422,697,497,422,297,97],"intervals":[{"from_index":104,"to_index":304,"sum":77222,"residue":422},{"from_index":304,"to_index":504,"sum":79897,"residue":697},{"from_index":504,"to_index":704,"sum":80497,"residue":497},{"from_index":704,"to_index":904,"sum":78822,"residue":422},{"from_index":904,"to_index":1104,"sum":77097,"residue":297},{"from_index":1104,"to_index":104,"sum":80897,"residue":97}],"minimal_cycle":[422,697,497,422,297,97],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":422,"start_interval_clock_positions":[104,304],"circle_positions":800,"cycle_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":[105,305,505,705,905,1105],"clock_positions":[105,305,505,705,905,1105],"native_values":[130,605,305,130,205,705],"rotation_degrees":31.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,605,305,130,205,705],"beta":{"interval_sums":[77695,79420,80645,78895,77020,80245],"interval_residues":[95,220,645,495,220,245],"display_cycle":[95,220,645,495,220,245],"intervals":[{"from_index":105,"to_index":305,"sum":77695,"residue":95},{"from_index":305,"to_index":505,"sum":79420,"residue":220},{"from_index":505,"to_index":705,"sum":80645,"residue":645},{"from_index":705,"to_index":905,"sum":78895,"residue":495},{"from_index":905,"to_index":1105,"sum":77020,"residue":220},{"from_index":1105,"to_index":105,"sum":80245,"residue":245}],"minimal_cycle":[95,220,645,495,220,245],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":95,"start_interval_clock_positions":[105,305],"circle_positions":800,"cycle_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":[106,306,506,706,906,1106],"clock_positions":[106,306,506,706,906,1106],"native_values":[183,408,433,583,408,33],"rotation_degrees":31.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[183,408,433,583,408,33],"beta":{"interval_sums":[78117,79317,80342,78517,77317,80342],"interval_residues":[517,117,342,117,517,342],"display_cycle":[517,117,342,117,517,342],"intervals":[{"from_index":106,"to_index":306,"sum":78117,"residue":517},{"from_index":306,"to_index":506,"sum":79317,"residue":117},{"from_index":506,"to_index":706,"sum":80342,"residue":342},{"from_index":706,"to_index":906,"sum":78517,"residue":117},{"from_index":906,"to_index":1106,"sum":77317,"residue":517},{"from_index":1106,"to_index":106,"sum":80342,"residue":342}],"minimal_cycle":[517,117,342,117,517,342],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":517,"start_interval_clock_positions":[106,306],"circle_positions":800,"cycle_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":[107,307,507,707,907,1107],"clock_positions":[107,307,507,707,907,1107],"native_values":[313,213,738,713,613,738],"rotation_degrees":32.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[313,213,738,713,613,738],"beta":{"interval_sums":[78212,79537,80187,78212,76737,79787],"interval_residues":[612,337,187,612,737,587],"display_cycle":[612,337,187,612,737,587],"intervals":[{"from_index":107,"to_index":307,"sum":78212,"residue":612},{"from_index":307,"to_index":507,"sum":79537,"residue":337},{"from_index":507,"to_index":707,"sum":80187,"residue":187},{"from_index":707,"to_index":907,"sum":78212,"residue":612},{"from_index":907,"to_index":1107,"sum":76737,"residue":737},{"from_index":1107,"to_index":107,"sum":79787,"residue":587}],"minimal_cycle":[612,337,187,612,737,587],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":612,"start_interval_clock_positions":[107,307],"circle_positions":800,"cycle_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":[108,308,508,708,908,1108],"clock_positions":[108,308,508,708,908,1108],"native_values":[496,621,371,496,221,771],"rotation_degrees":32.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[496,621,371,496,221,771],"beta":{"interval_sums":[77929,79654,80529,78329,77254,79329],"interval_residues":[329,454,529,729,454,129],"display_cycle":[329,454,529,729,454,129],"intervals":[{"from_index":108,"to_index":308,"sum":77929,"residue":329},{"from_index":308,"to_index":508,"sum":79654,"residue":454},{"from_index":508,"to_index":708,"sum":80529,"residue":529},{"from_index":708,"to_index":908,"sum":78329,"residue":729},{"from_index":908,"to_index":1108,"sum":77254,"residue":454},{"from_index":1108,"to_index":108,"sum":79329,"residue":129}],"minimal_cycle":[329,454,529,729,454,129],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":329,"start_interval_clock_positions":[108,308],"circle_positions":800,"cycle_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":[109,309,509,709,909,1109],"clock_positions":[109,309,509,709,909,1109],"native_values":[9,34,309,409,34,709],"rotation_degrees":32.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[9,34,309,409,34,709],"beta":{"interval_sums":[78541,79991,80716,78141,77991,79116],"interval_residues":[141,791,716,541,391,716],"display_cycle":[141,791,716,541,391,716],"intervals":[{"from_index":109,"to_index":309,"sum":78541,"residue":141},{"from_index":309,"to_index":509,"sum":79991,"residue":791},{"from_index":509,"to_index":709,"sum":80716,"residue":716},{"from_index":709,"to_index":909,"sum":78141,"residue":541},{"from_index":909,"to_index":1109,"sum":77991,"residue":391},{"from_index":1109,"to_index":109,"sum":79116,"residue":716}],"minimal_cycle":[141,791,716,541,391,716],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":141,"start_interval_clock_positions":[109,309],"circle_positions":800,"cycle_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":[110,310,510,710,910,1110],"clock_positions":[110,310,510,710,910,1110],"native_values":[505,655,680,105,255,680],"rotation_degrees":33.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[505,655,680,105,255,680],"beta":{"interval_sums":[78070,79645,80445,78070,78445,78445],"interval_residues":[470,445,445,470,45,45],"display_cycle":[470,445,445,470,45,45],"intervals":[{"from_index":110,"to_index":310,"sum":78070,"residue":470},{"from_index":310,"to_index":510,"sum":79645,"residue":445},{"from_index":510,"to_index":710,"sum":80445,"residue":445},{"from_index":710,"to_index":910,"sum":78070,"residue":470},{"from_index":910,"to_index":1110,"sum":78445,"residue":45},{"from_index":1110,"to_index":110,"sum":78445,"residue":45}],"minimal_cycle":[470,445,445,470,45,45],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":470,"start_interval_clock_positions":[110,310],"circle_positions":800,"cycle_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":[111,311,511,711,911,1111],"clock_positions":[111,311,511,711,911,1111],"native_values":[514,689,189,514,289,589],"rotation_degrees":33.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,689,189,514,289,589],"beta":{"interval_sums":[78211,79636,80361,77811,78836,78361],"interval_residues":[611,436,361,211,436,761],"display_cycle":[611,436,361,211,436,761],"intervals":[{"from_index":111,"to_index":311,"sum":78211,"residue":611},{"from_index":311,"to_index":511,"sum":79636,"residue":436},{"from_index":511,"to_index":711,"sum":80361,"residue":361},{"from_index":711,"to_index":911,"sum":77811,"residue":211},{"from_index":911,"to_index":1111,"sum":78836,"residue":436},{"from_index":1111,"to_index":111,"sum":78361,"residue":761}],"minimal_cycle":[611,436,361,211,436,761],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":611,"start_interval_clock_positions":[111,311],"circle_positions":800,"cycle_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":[112,312,512,712,912,1112],"clock_positions":[112,312,512,712,912,1112],"native_values":[219,544,69,619,544,469],"rotation_degrees":33.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[219,544,69,619,544,469],"beta":{"interval_sums":[78681,79281,80806,77481,78881,78406],"interval_residues":[281,81,6,681,481,6],"display_cycle":[281,81,6,681,481,6],"intervals":[{"from_index":112,"to_index":312,"sum":78681,"residue":281},{"from_index":312,"to_index":512,"sum":79281,"residue":81},{"from_index":512,"to_index":712,"sum":80806,"residue":6},{"from_index":712,"to_index":912,"sum":77481,"residue":681},{"from_index":912,"to_index":1112,"sum":78881,"residue":481},{"from_index":1112,"to_index":112,"sum":78406,"residue":6}],"minimal_cycle":[281,81,6,681,481,6],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":281,"start_interval_clock_positions":[112,312],"circle_positions":800,"cycle_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":[113,313,513,713,913,1113],"clock_positions":[113,313,513,713,913,1113],"native_values":[733,433,258,333,33,258],"rotation_degrees":33.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[733,433,258,333,33,258],"beta":{"interval_sums":[78492,78917,81167,77692,79317,78367],"interval_residues":[92,517,367,92,117,767],"display_cycle":[92,517,367,92,117,767],"intervals":[{"from_index":113,"to_index":313,"sum":78492,"residue":92},{"from_index":313,"to_index":513,"sum":78917,"residue":517},{"from_index":513,"to_index":713,"sum":81167,"residue":367},{"from_index":713,"to_index":913,"sum":77692,"residue":92},{"from_index":913,"to_index":1113,"sum":79317,"residue":117},{"from_index":1113,"to_index":113,"sum":78367,"residue":767}],"minimal_cycle":[92,517,367,92,117,767],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":92,"start_interval_clock_positions":[113,313],"circle_positions":800,"cycle_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":[114,314,514,714,914,1114],"clock_positions":[114,314,514,714,914,1114],"native_values":[152,177,327,152,577,727],"rotation_degrees":34.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[152,177,327,152,577,727],"beta":{"interval_sums":[78773,78998,81173,77573,78998,78373],"interval_residues":[373,598,373,773,598,773],"display_cycle":[373,598,373,773,598,773],"intervals":[{"from_index":114,"to_index":314,"sum":78773,"residue":373},{"from_index":314,"to_index":514,"sum":78998,"residue":598},{"from_index":514,"to_index":714,"sum":81173,"residue":373},{"from_index":714,"to_index":914,"sum":77573,"residue":773},{"from_index":914,"to_index":1114,"sum":78998,"residue":598},{"from_index":1114,"to_index":114,"sum":78373,"residue":773}],"minimal_cycle":[373,598,373,773,598,773],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":373,"start_interval_clock_positions":[114,314],"circle_positions":800,"cycle_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":[115,315,515,715,915,1115],"clock_positions":[115,315,515,715,915,1115],"native_values":[85,610,585,485,610,185],"rotation_degrees":34.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[85,610,585,485,610,185],"beta":{"interval_sums":[78865,78715,80740,77665,79115,78340],"interval_residues":[465,315,740,65,715,740],"display_cycle":[465,315,740,65,715,740],"intervals":[{"from_index":115,"to_index":315,"sum":78865,"residue":465},{"from_index":315,"to_index":515,"sum":78715,"residue":315},{"from_index":515,"to_index":715,"sum":80740,"residue":740},{"from_index":715,"to_index":915,"sum":77665,"residue":65},{"from_index":915,"to_index":1115,"sum":79115,"residue":715},{"from_index":1115,"to_index":115,"sum":78340,"residue":740}],"minimal_cycle":[465,315,740,65,715,740],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":465,"start_interval_clock_positions":[115,315],"circle_positions":800,"cycle_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":[116,316,516,716,916,1116],"clock_positions":[116,316,516,716,916,1116],"native_values":[237,787,112,637,387,112],"rotation_degrees":34.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[237,787,112,637,387,112],"beta":{"interval_sums":[79238,78513,81113,77638,78913,78313],"interval_residues":[38,113,313,38,513,713],"display_cycle":[38,113,313,38,513,713],"intervals":[{"from_index":116,"to_index":316,"sum":79238,"residue":38},{"from_index":316,"to_index":516,"sum":78513,"residue":113},{"from_index":516,"to_index":716,"sum":81113,"residue":313},{"from_index":716,"to_index":916,"sum":77638,"residue":38},{"from_index":916,"to_index":1116,"sum":78913,"residue":513},{"from_index":1116,"to_index":116,"sum":78313,"residue":713}],"minimal_cycle":[38,113,313,38,513,713],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":38,"start_interval_clock_positions":[116,316],"circle_positions":800,"cycle_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":[117,317,517,717,917,1117],"clock_positions":[117,317,517,717,917,1117],"native_values":[322,597,697,322,197,297],"rotation_degrees":35.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,597,697,322,197,297],"beta":{"interval_sums":[79703,78028,81053,77703,78828,78253],"interval_residues":[503,428,253,103,428,653],"display_cycle":[503,428,253,103,428,653],"intervals":[{"from_index":117,"to_index":317,"sum":79703,"residue":503},{"from_index":317,"to_index":517,"sum":78028,"residue":428},{"from_index":517,"to_index":717,"sum":81053,"residue":253},{"from_index":717,"to_index":917,"sum":77703,"residue":103},{"from_index":917,"to_index":1117,"sum":78828,"residue":428},{"from_index":1117,"to_index":117,"sum":78253,"residue":653}],"minimal_cycle":[503,428,253,103,428,653],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":503,"start_interval_clock_positions":[117,317],"circle_positions":800,"cycle_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":[118,318,518,718,918,1118],"clock_positions":[118,318,518,718,918,1118],"native_values":[559,584,9,159,584,409],"rotation_degrees":35.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[559,584,9,159,584,409],"beta":{"interval_sums":[79741,78141,81366,77741,78541,78166],"interval_residues":[541,541,566,141,141,566],"display_cycle":[541,541,566,141,141,566],"intervals":[{"from_index":118,"to_index":318,"sum":79741,"residue":541},{"from_index":318,"to_index":518,"sum":78141,"residue":541},{"from_index":518,"to_index":718,"sum":81366,"residue":566},{"from_index":718,"to_index":918,"sum":77741,"residue":141},{"from_index":918,"to_index":1118,"sum":78541,"residue":141},{"from_index":1118,"to_index":118,"sum":78166,"residue":566}],"minimal_cycle":[541,541,566,141,141,566],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":541,"start_interval_clock_positions":[118,318],"circle_positions":800,"cycle_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":[119,319,519,719,919,1119],"clock_positions":[119,319,519,719,919,1119],"native_values":[81,381,706,481,781,706],"rotation_degrees":35.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[81,381,706,481,781,706],"beta":{"interval_sums":[80244,77769,80819,77844,78169,78019],"interval_residues":[244,169,19,244,569,419],"display_cycle":[244,169,19,244,569,419],"intervals":[{"from_index":119,"to_index":319,"sum":80244,"residue":244},{"from_index":319,"to_index":519,"sum":77769,"residue":169},{"from_index":519,"to_index":719,"sum":80819,"residue":19},{"from_index":719,"to_index":919,"sum":77844,"residue":244},{"from_index":919,"to_index":1119,"sum":78169,"residue":569},{"from_index":1119,"to_index":119,"sum":78019,"residue":419}],"minimal_cycle":[244,169,19,244,569,419],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":244,"start_interval_clock_positions":[119,319],"circle_positions":800,"cycle_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":[120,320,520,720,920,1120],"clock_positions":[120,320,520,720,920,1120],"native_values":[640,165,715,640,565,315],"rotation_degrees":36.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[640,165,715,640,565,315],"beta":{"interval_sums":[79985,78310,80585,77985,78310,77785],"interval_residues":[785,710,585,385,710,185],"display_cycle":[785,710,585,385,710,185],"intervals":[{"from_index":120,"to_index":320,"sum":79985,"residue":785},{"from_index":320,"to_index":520,"sum":78310,"residue":710},{"from_index":520,"to_index":720,"sum":80585,"residue":585},{"from_index":720,"to_index":920,"sum":77985,"residue":385},{"from_index":920,"to_index":1120,"sum":78310,"residue":710},{"from_index":1120,"to_index":120,"sum":77785,"residue":185}],"minimal_cycle":[785,710,585,385,710,185],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":785,"start_interval_clock_positions":[120,320],"circle_positions":800,"cycle_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":[121,321,521,721,921,1121],"clock_positions":[121,321,521,721,921,1121],"native_values":[721,546,621,321,546,221],"rotation_degrees":36.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[721,546,621,321,546,221],"beta":{"interval_sums":[79429,78479,80604,78229,78079,78204],"interval_residues":[229,79,604,629,479,604],"display_cycle":[229,79,604,629,479,604],"intervals":[{"from_index":121,"to_index":321,"sum":79429,"residue":229},{"from_index":321,"to_index":521,"sum":78479,"residue":79},{"from_index":521,"to_index":721,"sum":80604,"residue":604},{"from_index":721,"to_index":921,"sum":78229,"residue":629},{"from_index":921,"to_index":1121,"sum":78079,"residue":479},{"from_index":1121,"to_index":121,"sum":78204,"residue":604}],"minimal_cycle":[229,79,604,629,479,604],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":229,"start_interval_clock_positions":[121,321],"circle_positions":800,"cycle_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":[122,322,522,722,922,1122],"clock_positions":[122,322,522,722,922,1122],"native_values":[561,711,536,161,311,536],"rotation_degrees":36.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[561,711,536,161,311,536],"beta":{"interval_sums":[79414,78389,80389,78614,77989,78389],"interval_residues":[214,789,389,214,389,789],"display_cycle":[214,789,389,214,389,789],"intervals":[{"from_index":122,"to_index":322,"sum":79414,"residue":214},{"from_index":322,"to_index":522,"sum":78389,"residue":789},{"from_index":522,"to_index":722,"sum":80389,"residue":389},{"from_index":722,"to_index":922,"sum":78614,"residue":214},{"from_index":922,"to_index":1122,"sum":77989,"residue":389},{"from_index":1122,"to_index":122,"sum":78389,"residue":789}],"minimal_cycle":[214,789,389,214,389,789],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":214,"start_interval_clock_positions":[122,322],"circle_positions":800,"cycle_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":[123,323,523,723,923,1123],"clock_positions":[123,323,523,723,923,1123],"native_values":[482,457,357,482,57,757],"rotation_degrees":36.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,457,357,482,57,757],"beta":{"interval_sums":[79643,78468,80193,78443,78468,78193],"interval_residues":[443,68,193,43,68,593],"display_cycle":[443,68,193,43,68,593],"intervals":[{"from_index":123,"to_index":323,"sum":79643,"residue":443},{"from_index":323,"to_index":523,"sum":78468,"residue":68},{"from_index":523,"to_index":723,"sum":80193,"residue":193},{"from_index":723,"to_index":923,"sum":78443,"residue":43},{"from_index":923,"to_index":1123,"sum":78468,"residue":68},{"from_index":1123,"to_index":123,"sum":78193,"residue":593}],"minimal_cycle":[443,68,193,43,68,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":443,"start_interval_clock_positions":[123,323],"circle_positions":800,"cycle_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":[124,324,524,724,924,1124],"clock_positions":[124,324,524,724,924,1124],"native_values":[243,368,93,643,368,493],"rotation_degrees":37.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[243,368,93,643,368,493],"beta":{"interval_sums":[79857,78457,80582,77857,78857,78182],"interval_residues":[657,57,582,257,457,582],"display_cycle":[657,57,582,257,457,582],"intervals":[{"from_index":124,"to_index":324,"sum":79857,"residue":657},{"from_index":324,"to_index":524,"sum":78457,"residue":57},{"from_index":524,"to_index":724,"sum":80582,"residue":582},{"from_index":724,"to_index":924,"sum":77857,"residue":257},{"from_index":924,"to_index":1124,"sum":78857,"residue":457},{"from_index":1124,"to_index":124,"sum":78182,"residue":582}],"minimal_cycle":[657,57,582,257,457,582],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":657,"start_interval_clock_positions":[124,324],"circle_positions":800,"cycle_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":[125,325,525,725,925,1125],"clock_positions":[125,325,525,725,925,1125],"native_values":[725,25,450,325,425,450],"rotation_degrees":37.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[725,25,450,325,425,450],"beta":{"interval_sums":[79500,78525,80775,77900,78925,77975],"interval_residues":[300,125,775,300,525,375],"display_cycle":[300,125,775,300,525,375],"intervals":[{"from_index":125,"to_index":325,"sum":79500,"residue":300},{"from_index":325,"to_index":525,"sum":78525,"residue":125},{"from_index":525,"to_index":725,"sum":80775,"residue":775},{"from_index":725,"to_index":925,"sum":77900,"residue":300},{"from_index":925,"to_index":1125,"sum":78925,"residue":525},{"from_index":1125,"to_index":125,"sum":77975,"residue":375}],"minimal_cycle":[300,125,775,300,525,375],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":300,"start_interval_clock_positions":[125,325],"circle_positions":800,"cycle_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":[126,326,526,726,926,1126],"clock_positions":[126,326,526,726,926,1126],"native_values":[168,393,543,168,793,143],"rotation_degrees":37.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[168,393,543,168,793,143],"beta":{"interval_sums":[79357,78582,80557,78157,78582,78557],"interval_residues":[157,182,557,557,182,157],"display_cycle":[157,182,557,557,182,157],"intervals":[{"from_index":126,"to_index":326,"sum":79357,"residue":157},{"from_index":326,"to_index":526,"sum":78582,"residue":182},{"from_index":526,"to_index":726,"sum":80557,"residue":557},{"from_index":726,"to_index":926,"sum":78157,"residue":557},{"from_index":926,"to_index":1126,"sum":78582,"residue":182},{"from_index":1126,"to_index":126,"sum":78557,"residue":157}],"minimal_cycle":[157,182,557,557,182,157],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":157,"start_interval_clock_positions":[126,326],"circle_positions":800,"cycle_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":[127,327,527,727,927,1127],"clock_positions":[127,327,527,727,927,1127],"native_values":[93,418,193,493,418,593],"rotation_degrees":38.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[93,418,193,493,418,593],"beta":{"interval_sums":[79657,78707,80532,78457,78307,78132],"interval_residues":[457,307,532,57,707,532],"display_cycle":[457,307,532,57,707,532],"intervals":[{"from_index":127,"to_index":327,"sum":79657,"residue":457},{"from_index":327,"to_index":527,"sum":78707,"residue":307},{"from_index":527,"to_index":727,"sum":80532,"residue":532},{"from_index":727,"to_index":927,"sum":78457,"residue":57},{"from_index":927,"to_index":1127,"sum":78307,"residue":707},{"from_index":1127,"to_index":127,"sum":78132,"residue":532}],"minimal_cycle":[457,307,532,57,707,532],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":457,"start_interval_clock_positions":[127,327],"circle_positions":800,"cycle_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":[128,328,528,728,928,1128],"clock_positions":[128,328,528,728,928,1128],"native_values":[261,11,736,661,411,736],"rotation_degrees":38.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,11,736,661,411,736],"beta":{"interval_sums":[79814,78889,80289,78214,78489,77489],"interval_residues":[614,489,289,614,89,689],"display_cycle":[614,489,289,614,89,689],"intervals":[{"from_index":128,"to_index":328,"sum":79814,"residue":614},{"from_index":328,"to_index":528,"sum":78889,"residue":489},{"from_index":528,"to_index":728,"sum":80289,"residue":289},{"from_index":728,"to_index":928,"sum":78214,"residue":614},{"from_index":928,"to_index":1128,"sum":78489,"residue":89},{"from_index":1128,"to_index":128,"sum":77489,"residue":689}],"minimal_cycle":[614,489,289,614,89,689],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":614,"start_interval_clock_positions":[128,328],"circle_positions":800,"cycle_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":[129,329,529,729,929,1129],"clock_positions":[129,329,529,729,929,1129],"native_values":[354,429,129,354,29,529],"rotation_degrees":38.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,429,129,354,29,529],"beta":{"interval_sums":[79471,79196,80821,78271,79196,77221],"interval_residues":[271,796,21,671,796,421],"display_cycle":[271,796,21,671,796,421],"intervals":[{"from_index":129,"to_index":329,"sum":79471,"residue":271},{"from_index":329,"to_index":529,"sum":79196,"residue":796},{"from_index":529,"to_index":729,"sum":80821,"residue":21},{"from_index":729,"to_index":929,"sum":78271,"residue":671},{"from_index":929,"to_index":1129,"sum":79196,"residue":796},{"from_index":1129,"to_index":129,"sum":77221,"residue":421}],"minimal_cycle":[271,796,21,671,796,421],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":271,"start_interval_clock_positions":[129,329],"circle_positions":800,"cycle_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":[130,330,530,730,930,1130],"clock_positions":[130,330,530,730,930,1130],"native_values":[615,440,65,215,440,465],"rotation_degrees":39.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[615,440,65,215,440,465],"beta":{"interval_sums":[79285,78885,81110,78085,79285,77110],"interval_residues":[85,485,310,485,85,310],"display_cycle":[85,485,310,485,85,310],"intervals":[{"from_index":130,"to_index":330,"sum":79285,"residue":85},{"from_index":330,"to_index":530,"sum":78885,"residue":485},{"from_index":530,"to_index":730,"sum":81110,"residue":310},{"from_index":730,"to_index":930,"sum":78085,"residue":485},{"from_index":930,"to_index":1130,"sum":79285,"residue":85},{"from_index":1130,"to_index":130,"sum":77110,"residue":310}],"minimal_cycle":[85,485,310,485,85,310],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":85,"start_interval_clock_positions":[130,330],"circle_positions":800,"cycle_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":[131,331,531,731,931,1131],"clock_positions":[131,331,531,731,931,1131],"native_values":[169,69,194,569,469,194],"rotation_degrees":39.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[169,69,194,569,469,194],"beta":{"interval_sums":[79556,78881,81131,77956,79281,77531],"interval_residues":[356,481,331,356,81,731],"display_cycle":[356,481,331,356,81,731],"intervals":[{"from_index":131,"to_index":331,"sum":79556,"residue":356},{"from_index":331,"to_index":531,"sum":78881,"residue":481},{"from_index":531,"to_index":731,"sum":81131,"residue":331},{"from_index":731,"to_index":931,"sum":77956,"residue":356},{"from_index":931,"to_index":1131,"sum":79281,"residue":81},{"from_index":1131,"to_index":131,"sum":77531,"residue":731}],"minimal_cycle":[356,481,331,356,81,731],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":356,"start_interval_clock_positions":[131,331],"circle_positions":800,"cycle_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":[132,332,532,732,932,1132],"clock_positions":[132,332,532,732,932,1132],"native_values":[784,509,259,784,109,659],"rotation_degrees":39.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[784,509,259,784,109,659],"beta":{"interval_sums":[78841,78566,81441,77641,79366,77041],"interval_residues":[441,166,641,41,166,241],"display_cycle":[441,166,641,41,166,241],"intervals":[{"from_index":132,"to_index":332,"sum":78841,"residue":441},{"from_index":332,"to_index":532,"sum":78566,"residue":166},{"from_index":532,"to_index":732,"sum":81441,"residue":641},{"from_index":732,"to_index":932,"sum":77641,"residue":41},{"from_index":932,"to_index":1132,"sum":79366,"residue":166},{"from_index":1132,"to_index":132,"sum":77041,"residue":241}],"minimal_cycle":[441,166,641,41,166,241],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":441,"start_interval_clock_positions":[132,332],"circle_positions":800,"cycle_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":[133,333,533,733,933,1133],"clock_positions":[133,333,533,733,933,1133],"native_values":[153,578,453,553,578,53],"rotation_degrees":39.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[153,578,453,553,578,53],"beta":{"interval_sums":[79197,78247,81772,77197,79447,77772],"interval_residues":[797,647,172,397,247,172],"display_cycle":[797,647,172,397,247,172],"intervals":[{"from_index":133,"to_index":333,"sum":79197,"residue":797},{"from_index":333,"to_index":533,"sum":78247,"residue":647},{"from_index":533,"to_index":733,"sum":81772,"residue":172},{"from_index":733,"to_index":933,"sum":77197,"residue":397},{"from_index":933,"to_index":1133,"sum":79447,"residue":247},{"from_index":1133,"to_index":133,"sum":77772,"residue":172}],"minimal_cycle":[797,647,172,397,247,172],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":797,"start_interval_clock_positions":[133,333],"circle_positions":800,"cycle_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":[134,334,534,734,934,1134],"clock_positions":[134,334,534,734,934,1134],"native_values":[137,287,712,537,687,712],"rotation_degrees":40.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,287,712,537,687,712],"beta":{"interval_sums":[79638,78413,81613,77238,78813,77213],"interval_residues":[438,13,13,438,413,413],"display_cycle":[438,13,13,438,413,413],"intervals":[{"from_index":134,"to_index":334,"sum":79638,"residue":438},{"from_index":334,"to_index":534,"sum":78413,"residue":13},{"from_index":534,"to_index":734,"sum":81613,"residue":13},{"from_index":734,"to_index":934,"sum":77238,"residue":438},{"from_index":934,"to_index":1134,"sum":78813,"residue":413},{"from_index":1134,"to_index":134,"sum":77213,"residue":413}],"minimal_cycle":[438,13,13,438,413,413],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":438,"start_interval_clock_positions":[134,334],"circle_positions":800,"cycle_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":[135,335,535,735,935,1135],"clock_positions":[135,335,535,735,935,1135],"native_values":[290,65,365,290,465,765],"rotation_degrees":40.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,65,365,290,465,765],"beta":{"interval_sums":[79635,79060,81785,77635,79060,76585],"interval_residues":[435,660,185,35,660,585],"display_cycle":[435,660,185,35,660,585],"intervals":[{"from_index":135,"to_index":335,"sum":79635,"residue":435},{"from_index":335,"to_index":535,"sum":79060,"residue":660},{"from_index":535,"to_index":735,"sum":81785,"residue":185},{"from_index":735,"to_index":935,"sum":77635,"residue":35},{"from_index":935,"to_index":1135,"sum":79060,"residue":660},{"from_index":1135,"to_index":135,"sum":76585,"residue":585}],"minimal_cycle":[435,660,185,35,660,585],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":435,"start_interval_clock_positions":[135,335],"circle_positions":800,"cycle_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":[136,336,536,736,936,1136],"clock_positions":[136,336,536,736,936,1136],"native_values":[427,352,277,27,352,677],"rotation_degrees":40.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[427,352,277,27,352,677],"beta":{"interval_sums":[79273,79073,81798,78073,79473,76198],"interval_residues":[73,673,198,473,273,198],"display_cycle":[73,673,198,473,273,198],"intervals":[{"from_index":136,"to_index":336,"sum":79273,"residue":73},{"from_index":336,"to_index":536,"sum":79073,"residue":673},{"from_index":536,"to_index":736,"sum":81798,"residue":198},{"from_index":736,"to_index":936,"sum":78073,"residue":473},{"from_index":936,"to_index":1136,"sum":79473,"residue":273},{"from_index":1136,"to_index":136,"sum":76198,"residue":198}],"minimal_cycle":[73,673,198,473,273,198],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":73,"start_interval_clock_positions":[136,336],"circle_positions":800,"cycle_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":[137,337,537,737,937,1137],"clock_positions":[137,337,537,737,937,1137],"native_values":[717,417,642,317,17,642],"rotation_degrees":41.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[717,417,642,317,17,642],"beta":{"interval_sums":[78908,78933,81183,78108,80133,75983],"interval_residues":[508,533,383,508,133,783],"display_cycle":[508,533,383,508,133,783],"intervals":[{"from_index":137,"to_index":337,"sum":78908,"residue":508},{"from_index":337,"to_index":537,"sum":78933,"residue":533},{"from_index":537,"to_index":737,"sum":81183,"residue":383},{"from_index":737,"to_index":937,"sum":78108,"residue":508},{"from_index":937,"to_index":1137,"sum":80133,"residue":133},{"from_index":1137,"to_index":137,"sum":75983,"residue":783}],"minimal_cycle":[508,533,383,508,133,783],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":508,"start_interval_clock_positions":[137,337],"circle_positions":800,"cycle_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":[138,338,538,738,938,1138],"clock_positions":[138,338,538,738,938,1138],"native_values":[344,769,119,344,369,519],"rotation_degrees":41.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[344,769,119,344,369,519],"beta":{"interval_sums":[78981,78806,81381,77781,80406,76181],"interval_residues":[581,406,581,181,406,181],"display_cycle":[581,406,581,181,406,181],"intervals":[{"from_index":138,"to_index":338,"sum":78981,"residue":581},{"from_index":338,"to_index":538,"sum":78806,"residue":406},{"from_index":538,"to_index":738,"sum":81381,"residue":581},{"from_index":738,"to_index":938,"sum":77781,"residue":181},{"from_index":938,"to_index":1138,"sum":80406,"residue":406},{"from_index":1138,"to_index":138,"sum":76181,"residue":181}],"minimal_cycle":[581,406,581,181,406,181],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[138,338],"circle_positions":800,"cycle_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":[139,339,539,739,939,1139],"clock_positions":[139,339,539,739,939,1139],"native_values":[261,386,761,661,386,361],"rotation_degrees":41.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[261,386,761,661,386,361],"beta":{"interval_sums":[79489,78539,80964,77489,80539,76164],"interval_residues":[289,139,164,689,539,164],"display_cycle":[289,139,164,689,539,164],"intervals":[{"from_index":139,"to_index":339,"sum":79489,"residue":289},{"from_index":339,"to_index":539,"sum":78539,"residue":139},{"from_index":539,"to_index":739,"sum":80964,"residue":164},{"from_index":739,"to_index":939,"sum":77489,"residue":689},{"from_index":939,"to_index":1139,"sum":80539,"residue":539},{"from_index":1139,"to_index":139,"sum":76164,"residue":164}],"minimal_cycle":[289,139,164,689,539,164],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":289,"start_interval_clock_positions":[139,339],"circle_positions":800,"cycle_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":[140,340,540,740,940,1140],"clock_positions":[140,340,540,740,940,1140],"native_values":[605,355,80,205,755,80],"rotation_degrees":42.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[605,355,80,205,755,80],"beta":{"interval_sums":[79270,78945,81545,77670,80145,76345],"interval_residues":[70,545,745,70,145,345],"display_cycle":[70,545,745,70,145,345],"intervals":[{"from_index":140,"to_index":340,"sum":79270,"residue":70},{"from_index":340,"to_index":540,"sum":78945,"residue":545},{"from_index":540,"to_index":740,"sum":81545,"residue":745},{"from_index":740,"to_index":940,"sum":77670,"residue":70},{"from_index":940,"to_index":1140,"sum":80145,"residue":145},{"from_index":1140,"to_index":140,"sum":76345,"residue":345}],"minimal_cycle":[70,545,745,70,145,345],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":70,"start_interval_clock_positions":[140,340],"circle_positions":800,"cycle_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":[141,341,541,741,941,1141],"clock_positions":[141,341,541,741,941,1141],"native_values":[66,741,41,66,341,441],"rotation_degrees":42.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,741,41,66,341,441],"beta":{"interval_sums":[79559,78284,81709,78359,79884,76509],"interval_residues":[359,684,109,759,684,509],"display_cycle":[359,684,109,759,684,509],"intervals":[{"from_index":141,"to_index":341,"sum":79559,"residue":359},{"from_index":341,"to_index":541,"sum":78284,"residue":684},{"from_index":541,"to_index":741,"sum":81709,"residue":109},{"from_index":741,"to_index":941,"sum":78359,"residue":759},{"from_index":941,"to_index":1141,"sum":79884,"residue":684},{"from_index":1141,"to_index":141,"sum":76509,"residue":509}],"minimal_cycle":[359,684,109,759,684,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":359,"start_interval_clock_positions":[141,341],"circle_positions":800,"cycle_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":[142,342,542,742,942,1142],"clock_positions":[142,342,542,742,942,1142],"native_values":[671,296,121,271,296,521],"rotation_degrees":42.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[671,296,121,271,296,521],"beta":{"interval_sums":[79629,78029,81654,78429,80029,76054],"interval_residues":[429,429,54,29,29,54],"display_cycle":[429,429,54,29,29,54],"intervals":[{"from_index":142,"to_index":342,"sum":79629,"residue":429},{"from_index":342,"to_index":542,"sum":78029,"residue":429},{"from_index":542,"to_index":742,"sum":81654,"residue":54},{"from_index":742,"to_index":942,"sum":78429,"residue":29},{"from_index":942,"to_index":1142,"sum":80029,"residue":29},{"from_index":1142,"to_index":142,"sum":76054,"residue":54}],"minimal_cycle":[429,429,54,29,29,54],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":429,"start_interval_clock_positions":[142,342],"circle_positions":800,"cycle_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":[143,343,543,743,943,1143],"clock_positions":[143,343,543,743,943,1143],"native_values":[737,237,162,337,637,162],"rotation_degrees":42.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[737,237,162,337,637,162],"beta":{"interval_sums":[79188,77913,81763,78388,79913,76563],"interval_residues":[788,313,163,788,713,563],"display_cycle":[788,313,163,788,713,563],"intervals":[{"from_index":143,"to_index":343,"sum":79188,"residue":788},{"from_index":343,"to_index":543,"sum":77913,"residue":313},{"from_index":543,"to_index":743,"sum":81763,"residue":163},{"from_index":743,"to_index":943,"sum":78388,"residue":788},{"from_index":943,"to_index":1143,"sum":79913,"residue":713},{"from_index":1143,"to_index":143,"sum":76563,"residue":563}],"minimal_cycle":[788,313,163,788,713,563],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":788,"start_interval_clock_positions":[143,343],"circle_positions":800,"cycle_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":[144,344,544,744,944,1144],"clock_positions":[144,344,544,744,944,1144],"native_values":[608,533,283,608,133,683],"rotation_degrees":43.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[608,533,283,608,133,683],"beta":{"interval_sums":[78817,77542,81817,78417,79942,76617],"interval_residues":[417,742,217,17,742,617],"display_cycle":[417,742,217,17,742,617],"intervals":[{"from_index":144,"to_index":344,"sum":78817,"residue":417},{"from_index":344,"to_index":544,"sum":77542,"residue":742},{"from_index":544,"to_index":744,"sum":81817,"residue":217},{"from_index":744,"to_index":944,"sum":78417,"residue":17},{"from_index":944,"to_index":1144,"sum":79942,"residue":742},{"from_index":1144,"to_index":144,"sum":76617,"residue":617}],"minimal_cycle":[417,742,217,17,742,617],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[144,344],"circle_positions":800,"cycle_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":[145,345,545,745,945,1145],"clock_positions":[145,345,545,745,945,1145],"native_values":[545,770,445,145,770,45],"rotation_degrees":43.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[545,770,445,145,770,45],"beta":{"interval_sums":[78805,77055,81980,78405,79855,77180],"interval_residues":[405,255,380,5,655,380],"display_cycle":[405,255,380,5,655,380],"intervals":[{"from_index":145,"to_index":345,"sum":78805,"residue":405},{"from_index":345,"to_index":545,"sum":77055,"residue":255},{"from_index":545,"to_index":745,"sum":81980,"residue":380},{"from_index":745,"to_index":945,"sum":78405,"residue":5},{"from_index":945,"to_index":1145,"sum":79855,"residue":655},{"from_index":1145,"to_index":145,"sum":77180,"residue":380}],"minimal_cycle":[405,255,380,5,655,380],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":405,"start_interval_clock_positions":[145,345],"circle_positions":800,"cycle_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":[146,346,546,746,946,1146],"clock_positions":[146,346,546,746,946,1146],"native_values":[353,503,728,753,103,728],"rotation_degrees":43.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[353,503,728,753,103,728],"beta":{"interval_sums":[79222,76997,81397,78422,79797,76997],"interval_residues":[22,197,597,22,597,197],"display_cycle":[22,197,597,22,597,197],"intervals":[{"from_index":146,"to_index":346,"sum":79222,"residue":22},{"from_index":346,"to_index":546,"sum":76997,"residue":197},{"from_index":546,"to_index":746,"sum":81397,"residue":597},{"from_index":746,"to_index":946,"sum":78422,"residue":22},{"from_index":946,"to_index":1146,"sum":79797,"residue":597},{"from_index":1146,"to_index":146,"sum":76997,"residue":197}],"minimal_cycle":[22,197,597,22,597,197],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":22,"start_interval_clock_positions":[146,346],"circle_positions":800,"cycle_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":[147,347,547,747,947,1147],"clock_positions":[147,347,547,747,947,1147],"native_values":[98,473,373,98,73,773],"rotation_degrees":44.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,473,373,98,73,773],"beta":{"interval_sums":[79627,77252,81777,78427,80452,76577],"interval_residues":[427,452,177,27,452,577],"display_cycle":[427,452,177,27,452,577],"intervals":[{"from_index":147,"to_index":347,"sum":79627,"residue":427},{"from_index":347,"to_index":547,"sum":77252,"residue":452},{"from_index":547,"to_index":747,"sum":81777,"residue":177},{"from_index":747,"to_index":947,"sum":78427,"residue":27},{"from_index":947,"to_index":1147,"sum":80452,"residue":452},{"from_index":1147,"to_index":147,"sum":76577,"residue":577}],"minimal_cycle":[427,452,177,27,452,577],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":427,"start_interval_clock_positions":[147,347],"circle_positions":800,"cycle_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":[148,348,548,748,948,1148],"clock_positions":[148,348,548,748,948,1148],"native_values":[451,176,301,51,176,701],"rotation_degrees":44.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[451,176,301,51,176,701],"beta":{"interval_sums":[79649,77449,81574,78449,81049,75974],"interval_residues":[449,649,774,49,249,774],"display_cycle":[449,649,774,49,249,774],"intervals":[{"from_index":148,"to_index":348,"sum":79649,"residue":449},{"from_index":348,"to_index":548,"sum":77449,"residue":649},{"from_index":548,"to_index":748,"sum":81574,"residue":774},{"from_index":748,"to_index":948,"sum":78449,"residue":49},{"from_index":948,"to_index":1148,"sum":81049,"residue":249},{"from_index":1148,"to_index":148,"sum":75974,"residue":774}],"minimal_cycle":[449,649,774,49,249,774],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":449,"start_interval_clock_positions":[148,348],"circle_positions":800,"cycle_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":[149,349,549,749,949,1149],"clock_positions":[149,349,549,749,949,1149],"native_values":[549,649,674,149,249,674],"rotation_degrees":44.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[549,649,674,149,249,674],"beta":{"interval_sums":[79276,77101,80951,78476,81501,75751],"interval_residues":[76,301,151,76,701,551],"display_cycle":[76,301,151,76,701,551],"intervals":[{"from_index":149,"to_index":349,"sum":79276,"residue":76},{"from_index":349,"to_index":549,"sum":77101,"residue":301},{"from_index":549,"to_index":749,"sum":80951,"residue":151},{"from_index":749,"to_index":949,"sum":78476,"residue":76},{"from_index":949,"to_index":1149,"sum":81501,"residue":701},{"from_index":1149,"to_index":149,"sum":75751,"residue":551}],"minimal_cycle":[76,301,151,76,701,551],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":76,"start_interval_clock_positions":[149,349],"circle_positions":800,"cycle_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":[150,350,550,750,950,1150],"clock_positions":[150,350,550,750,950,1150],"native_values":[200,25,175,200,425,575],"rotation_degrees":45.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[200,25,175,200,425,575],"beta":{"interval_sums":[79725,77750,80925,78525,81750,75725],"interval_residues":[525,150,125,125,150,525],"display_cycle":[525,150,125,125,150,525],"intervals":[{"from_index":150,"to_index":350,"sum":79725,"residue":525},{"from_index":350,"to_index":550,"sum":77750,"residue":150},{"from_index":550,"to_index":750,"sum":80925,"residue":125},{"from_index":750,"to_index":950,"sum":78525,"residue":125},{"from_index":950,"to_index":1150,"sum":81750,"residue":150},{"from_index":1150,"to_index":150,"sum":75725,"residue":525}],"minimal_cycle":[525,150,125,125,150,525],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":525,"start_interval_clock_positions":[150,350],"circle_positions":800,"cycle_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":[151,351,551,751,951,1151],"clock_positions":[151,351,551,751,951,1151],"native_values":[749,674,49,349,674,449],"rotation_degrees":45.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[749,674,49,349,674,449],"beta":{"interval_sums":[79001,77251,81076,78601,81651,75476],"interval_residues":[601,451,276,201,51,276],"display_cycle":[601,451,276,201,51,276],"intervals":[{"from_index":151,"to_index":351,"sum":79001,"residue":601},{"from_index":351,"to_index":551,"sum":77251,"residue":451},{"from_index":551,"to_index":751,"sum":81076,"residue":276},{"from_index":751,"to_index":951,"sum":78601,"residue":201},{"from_index":951,"to_index":1151,"sum":81651,"residue":51},{"from_index":1151,"to_index":151,"sum":75476,"residue":276}],"minimal_cycle":[601,451,276,201,51,276],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":601,"start_interval_clock_positions":[151,351],"circle_positions":800,"cycle_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":[152,352,552,752,952,1152],"clock_positions":[152,352,552,752,952,1152],"native_values":[149,699,224,549,299,224],"rotation_degrees":45.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[149,699,224,549,299,224],"beta":{"interval_sums":[79526,76601,81201,78726,81801,76001],"interval_residues":[326,601,401,326,201,1],"display_cycle":[326,601,401,326,201,1],"intervals":[{"from_index":152,"to_index":352,"sum":79526,"residue":326},{"from_index":352,"to_index":552,"sum":76601,"residue":601},{"from_index":552,"to_index":752,"sum":81201,"residue":401},{"from_index":752,"to_index":952,"sum":78726,"residue":326},{"from_index":952,"to_index":1152,"sum":81801,"residue":201},{"from_index":1152,"to_index":152,"sum":76001,"residue":1}],"minimal_cycle":[326,601,401,326,201,1],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":326,"start_interval_clock_positions":[152,352],"circle_positions":800,"cycle_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":[153,353,553,753,953,1153],"clock_positions":[153,353,553,753,953,1153],"native_values":[98,573,273,98,173,673],"rotation_degrees":45.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[98,573,273,98,173,673],"beta":{"interval_sums":[80127,76252,81477,78927,81852,75477],"interval_residues":[127,252,677,527,252,277],"display_cycle":[127,252,677,527,252,277],"intervals":[{"from_index":153,"to_index":353,"sum":80127,"residue":127},{"from_index":353,"to_index":553,"sum":76252,"residue":252},{"from_index":553,"to_index":753,"sum":81477,"residue":677},{"from_index":753,"to_index":953,"sum":78927,"residue":527},{"from_index":953,"to_index":1153,"sum":81852,"residue":252},{"from_index":1153,"to_index":153,"sum":75477,"residue":277}],"minimal_cycle":[127,252,677,527,252,277],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":127,"start_interval_clock_positions":[153,353],"circle_positions":800,"cycle_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":[154,354,554,754,954,1154],"clock_positions":[154,354,554,754,954,1154],"native_values":[247,472,497,647,472,97],"rotation_degrees":46.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[247,472,497,647,472,97],"beta":{"interval_sums":[80453,76053,81078,78453,82053,75478],"interval_residues":[453,53,278,53,453,278],"display_cycle":[453,53,278,53,453,278],"intervals":[{"from_index":154,"to_index":354,"sum":80453,"residue":453},{"from_index":354,"to_index":554,"sum":76053,"residue":53},{"from_index":554,"to_index":754,"sum":81078,"residue":278},{"from_index":754,"to_index":954,"sum":78453,"residue":53},{"from_index":954,"to_index":1154,"sum":82053,"residue":453},{"from_index":1154,"to_index":154,"sum":75478,"residue":278}],"minimal_cycle":[453,53,278,53,453,278],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":453,"start_interval_clock_positions":[154,354],"circle_positions":800,"cycle_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":[155,355,555,755,955,1155],"clock_positions":[155,355,555,755,955,1155],"native_values":[345,245,770,745,645,770],"rotation_degrees":46.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[345,245,770,745,645,770],"beta":{"interval_sums":[80580,76305,80955,78180,81505,74955],"interval_residues":[580,305,155,580,705,555],"display_cycle":[580,305,155,580,705,555],"intervals":[{"from_index":155,"to_index":355,"sum":80580,"residue":580},{"from_index":355,"to_index":555,"sum":76305,"residue":305},{"from_index":555,"to_index":755,"sum":80955,"residue":155},{"from_index":755,"to_index":955,"sum":78180,"residue":580},{"from_index":955,"to_index":1155,"sum":81505,"residue":705},{"from_index":1155,"to_index":155,"sum":74955,"residue":555}],"minimal_cycle":[580,305,155,580,705,555],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":580,"start_interval_clock_positions":[155,355],"circle_positions":800,"cycle_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":[156,356,556,756,956,1156],"clock_positions":[156,356,556,756,956,1156],"native_values":[592,717,467,592,317,67],"rotation_degrees":46.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[592,717,467,592,317,67],"beta":{"interval_sums":[80233,76358,81233,78233,81958,75233],"interval_residues":[233,358,433,633,358,33],"display_cycle":[233,358,433,633,358,33],"intervals":[{"from_index":156,"to_index":356,"sum":80233,"residue":233},{"from_index":356,"to_index":556,"sum":76358,"residue":358},{"from_index":556,"to_index":756,"sum":81233,"residue":433},{"from_index":756,"to_index":956,"sum":78233,"residue":633},{"from_index":956,"to_index":1156,"sum":81958,"residue":358},{"from_index":1156,"to_index":156,"sum":75233,"residue":33}],"minimal_cycle":[233,358,433,633,358,33],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":233,"start_interval_clock_positions":[156,356],"circle_positions":800,"cycle_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":[157,357,557,757,957,1157],"clock_positions":[157,357,557,757,957,1157],"native_values":[137,162,437,537,162,37],"rotation_degrees":47.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[137,162,437,537,162,37],"beta":{"interval_sums":[80813,76663,81388,78013,81863,75788],"interval_residues":[13,663,588,413,263,588],"display_cycle":[13,663,588,413,263,588],"intervals":[{"from_index":157,"to_index":357,"sum":80813,"residue":13},{"from_index":357,"to_index":557,"sum":76663,"residue":663},{"from_index":557,"to_index":757,"sum":81388,"residue":588},{"from_index":757,"to_index":957,"sum":78013,"residue":413},{"from_index":957,"to_index":1157,"sum":81863,"residue":263},{"from_index":1157,"to_index":157,"sum":75788,"residue":588}],"minimal_cycle":[13,663,588,413,263,588],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":13,"start_interval_clock_positions":[157,357],"circle_positions":800,"cycle_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":[158,358,558,758,958,1158],"clock_positions":[158,358,558,758,958,1158],"native_values":[729,79,104,329,479,104],"rotation_degrees":47.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[729,79,104,329,479,104],"beta":{"interval_sums":[80246,77021,81821,77846,81421,75821],"interval_residues":[246,221,221,246,621,621],"display_cycle":[246,221,221,246,621,621],"intervals":[{"from_index":158,"to_index":358,"sum":80246,"residue":246},{"from_index":358,"to_index":558,"sum":77021,"residue":221},{"from_index":558,"to_index":758,"sum":81821,"residue":221},{"from_index":758,"to_index":958,"sum":77846,"residue":246},{"from_index":958,"to_index":1158,"sum":81421,"residue":621},{"from_index":1158,"to_index":158,"sum":75821,"residue":621}],"minimal_cycle":[246,221,221,246,621,621],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":246,"start_interval_clock_positions":[158,358],"circle_positions":800,"cycle_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":[159,359,559,759,959,1159],"clock_positions":[159,359,559,759,959,1159],"native_values":[66,241,541,66,641,141],"rotation_degrees":47.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[66,241,541,66,641,141],"beta":{"interval_sums":[80259,76884,81609,78259,80884,76409],"interval_residues":[259,84,9,659,84,409],"display_cycle":[259,84,9,659,84,409],"intervals":[{"from_index":159,"to_index":359,"sum":80259,"residue":259},{"from_index":359,"to_index":559,"sum":76884,"residue":84},{"from_index":559,"to_index":759,"sum":81609,"residue":9},{"from_index":759,"to_index":959,"sum":78259,"residue":659},{"from_index":959,"to_index":1159,"sum":80884,"residue":84},{"from_index":1159,"to_index":159,"sum":76409,"residue":409}],"minimal_cycle":[259,84,9,659,84,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":259,"start_interval_clock_positions":[159,359],"circle_positions":800,"cycle_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":[160,360,560,760,960,1160],"clock_positions":[160,360,560,760,960,1160],"native_values":[795,320,645,395,320,245],"rotation_degrees":48.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[795,320,645,395,320,245],"beta":{"interval_sums":[79705,77105,81030,78505,80705,76230],"interval_residues":[505,305,230,105,705,230],"display_cycle":[505,305,230,105,705,230],"intervals":[{"from_index":160,"to_index":360,"sum":79705,"residue":505},{"from_index":360,"to_index":560,"sum":77105,"residue":305},{"from_index":560,"to_index":760,"sum":81030,"residue":230},{"from_index":760,"to_index":960,"sum":78505,"residue":105},{"from_index":960,"to_index":1160,"sum":80705,"residue":705},{"from_index":1160,"to_index":160,"sum":76230,"residue":230}],"minimal_cycle":[505,305,230,105,705,230],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":505,"start_interval_clock_positions":[160,360],"circle_positions":800,"cycle_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":[161,361,561,761,961,1161],"clock_positions":[161,361,561,761,961,1161],"native_values":[61,561,386,461,161,386],"rotation_degrees":48.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[61,561,386,461,161,386],"beta":{"interval_sums":[79964,77189,81039,78364,80789,76639],"interval_residues":[764,389,239,764,789,639],"display_cycle":[764,389,239,764,789,639],"intervals":[{"from_index":161,"to_index":361,"sum":79964,"residue":764},{"from_index":361,"to_index":561,"sum":77189,"residue":389},{"from_index":561,"to_index":761,"sum":81039,"residue":239},{"from_index":761,"to_index":961,"sum":78364,"residue":764},{"from_index":961,"to_index":1161,"sum":80789,"residue":789},{"from_index":1161,"to_index":161,"sum":76639,"residue":639}],"minimal_cycle":[764,389,239,764,789,639],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":764,"start_interval_clock_positions":[161,361],"circle_positions":800,"cycle_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":[162,362,562,762,962,1162],"clock_positions":[162,362,562,762,962,1162],"native_values":[56,81,231,56,481,631],"rotation_degrees":48.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[56,81,231,56,481,631],"beta":{"interval_sums":[80469,77494,81269,78469,80694,76069],"interval_residues":[469,694,469,69,694,69],"display_cycle":[469,694,469,69,694,69],"intervals":[{"from_index":162,"to_index":362,"sum":80469,"residue":469},{"from_index":362,"to_index":562,"sum":77494,"residue":694},{"from_index":562,"to_index":762,"sum":81269,"residue":469},{"from_index":762,"to_index":962,"sum":78469,"residue":69},{"from_index":962,"to_index":1162,"sum":80694,"residue":694},{"from_index":1162,"to_index":162,"sum":76069,"residue":69}],"minimal_cycle":[469,694,469,69,694,69],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":469,"start_interval_clock_positions":[162,362],"circle_positions":800,"cycle_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":[163,363,563,763,963,1163],"clock_positions":[163,363,563,763,963,1163],"native_values":[117,642,617,517,642,217],"rotation_degrees":48.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[117,642,617,517,642,217],"beta":{"interval_sums":[80433,77083,80708,78433,80683,75908],"interval_residues":[433,283,708,33,683,708],"display_cycle":[433,283,708,33,683,708],"intervals":[{"from_index":163,"to_index":363,"sum":80433,"residue":433},{"from_index":363,"to_index":563,"sum":77083,"residue":283},{"from_index":563,"to_index":763,"sum":80708,"residue":708},{"from_index":763,"to_index":963,"sum":78433,"residue":33},{"from_index":963,"to_index":1163,"sum":80683,"residue":683},{"from_index":1163,"to_index":163,"sum":75908,"residue":708}],"minimal_cycle":[433,283,708,33,683,708],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":433,"start_interval_clock_positions":[163,363],"circle_positions":800,"cycle_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":[164,364,564,764,964,1164],"clock_positions":[164,364,564,764,964,1164],"native_values":[173,723,48,573,323,48],"rotation_degrees":49.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[173,723,48,573,323,48],"beta":{"interval_sums":[80902,76977,81177,78502,80577,75977],"interval_residues":[102,177,377,102,577,777],"display_cycle":[102,177,377,102,577,777],"intervals":[{"from_index":164,"to_index":364,"sum":80902,"residue":102},{"from_index":364,"to_index":564,"sum":76977,"residue":177},{"from_index":564,"to_index":764,"sum":81177,"residue":377},{"from_index":764,"to_index":964,"sum":78502,"residue":102},{"from_index":964,"to_index":1164,"sum":80577,"residue":577},{"from_index":1164,"to_index":164,"sum":75977,"residue":777}],"minimal_cycle":[102,177,377,102,577,777],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":102,"start_interval_clock_positions":[164,364],"circle_positions":800,"cycle_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":[165,365,565,765,965,1165],"clock_positions":[165,365,565,765,965,1165],"native_values":[290,565,665,290,165,265],"rotation_degrees":49.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[290,565,665,290,165,265],"beta":{"interval_sums":[81335,76460,81085,78535,80460,75885],"interval_residues":[535,460,285,135,460,685],"display_cycle":[535,460,285,135,460,685],"intervals":[{"from_index":165,"to_index":365,"sum":81335,"residue":535},{"from_index":365,"to_index":565,"sum":76460,"residue":460},{"from_index":565,"to_index":765,"sum":81085,"residue":285},{"from_index":765,"to_index":965,"sum":78535,"residue":135},{"from_index":965,"to_index":1165,"sum":80460,"residue":460},{"from_index":1165,"to_index":165,"sum":75885,"residue":685}],"minimal_cycle":[535,460,285,135,460,685],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":535,"start_interval_clock_positions":[165,365],"circle_positions":800,"cycle_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":[166,366,566,766,966,1166],"clock_positions":[166,366,566,766,966,1166],"native_values":[463,488,713,63,488,313],"rotation_degrees":49.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[463,488,713,63,488,313],"beta":{"interval_sums":[81437,76637,80662,78637,80237,75862],"interval_residues":[637,637,662,237,237,662],"display_cycle":[637,637,662,237,237,662],"intervals":[{"from_index":166,"to_index":366,"sum":81437,"residue":637},{"from_index":366,"to_index":566,"sum":76637,"residue":637},{"from_index":566,"to_index":766,"sum":80662,"residue":662},{"from_index":766,"to_index":966,"sum":78637,"residue":237},{"from_index":966,"to_index":1166,"sum":80237,"residue":237},{"from_index":1166,"to_index":166,"sum":75862,"residue":662}],"minimal_cycle":[637,637,662,237,237,662],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":637,"start_interval_clock_positions":[166,366],"circle_positions":800,"cycle_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":[167,367,567,767,967,1167],"clock_positions":[167,367,567,767,967,1167],"native_values":[753,253,578,353,653,578],"rotation_degrees":50.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[753,253,578,353,653,578],"beta":{"interval_sums":[81172,77097,80147,78772,79897,75747],"interval_residues":[372,297,147,372,697,547],"display_cycle":[372,297,147,372,697,547],"intervals":[{"from_index":167,"to_index":367,"sum":81172,"residue":372},{"from_index":367,"to_index":567,"sum":77097,"residue":297},{"from_index":567,"to_index":767,"sum":80147,"residue":147},{"from_index":767,"to_index":967,"sum":78772,"residue":372},{"from_index":967,"to_index":1167,"sum":79897,"residue":697},{"from_index":1167,"to_index":167,"sum":75747,"residue":547}],"minimal_cycle":[372,297,147,372,697,547],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":372,"start_interval_clock_positions":[167,367],"circle_positions":800,"cycle_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":[168,368,568,768,968,1168],"clock_positions":[168,368,568,768,968,1168],"native_values":[416,741,491,416,341,91],"rotation_degrees":50.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[416,741,491,416,341,91],"beta":{"interval_sums":[81009,76934,80009,79009,80134,76409],"interval_residues":[209,134,9,609,134,409],"display_cycle":[209,134,9,609,134,409],"intervals":[{"from_index":168,"to_index":368,"sum":81009,"residue":209},{"from_index":368,"to_index":568,"sum":76934,"residue":134},{"from_index":568,"to_index":768,"sum":80009,"residue":9},{"from_index":768,"to_index":968,"sum":79009,"residue":609},{"from_index":968,"to_index":1168,"sum":80134,"residue":134},{"from_index":1168,"to_index":168,"sum":76409,"residue":409}],"minimal_cycle":[209,134,9,609,134,409],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":209,"start_interval_clock_positions":[168,368],"circle_positions":800,"cycle_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":[169,369,569,769,969,1169],"clock_positions":[169,369,569,769,969,1169],"native_values":[369,194,269,769,194,669],"rotation_degrees":50.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[369,194,269,769,194,669],"beta":{"interval_sums":[81381,77231,80156,78581,80031,76156],"interval_residues":[581,431,156,181,31,156],"display_cycle":[581,431,156,181,31,156],"intervals":[{"from_index":169,"to_index":369,"sum":81381,"residue":581},{"from_index":369,"to_index":569,"sum":77231,"residue":431},{"from_index":569,"to_index":769,"sum":80156,"residue":156},{"from_index":769,"to_index":969,"sum":78581,"residue":181},{"from_index":969,"to_index":1169,"sum":80031,"residue":31},{"from_index":1169,"to_index":169,"sum":76156,"residue":156}],"minimal_cycle":[581,431,156,181,31,156],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":581,"start_interval_clock_positions":[169,369],"circle_positions":800,"cycle_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":[170,370,570,770,970,1170],"clock_positions":[170,370,570,770,970,1170],"native_values":[785,135,760,385,535,760],"rotation_degrees":51.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[785,135,760,385,535,760],"beta":{"interval_sums":[80790,77365,80165,78390,80165,75765],"interval_residues":[790,565,165,790,165,565],"display_cycle":[790,565,165,790,165,565],"intervals":[{"from_index":170,"to_index":370,"sum":80790,"residue":790},{"from_index":370,"to_index":570,"sum":77365,"residue":565},{"from_index":570,"to_index":770,"sum":80165,"residue":165},{"from_index":770,"to_index":970,"sum":78390,"residue":790},{"from_index":970,"to_index":1170,"sum":80165,"residue":165},{"from_index":1170,"to_index":170,"sum":75765,"residue":565}],"minimal_cycle":[790,565,165,790,165,565],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":790,"start_interval_clock_positions":[170,370],"circle_positions":800,"cycle_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":[171,371,571,771,971,1171],"clock_positions":[171,371,571,771,971,1171],"native_values":[354,329,229,354,729,629],"rotation_degrees":51.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[354,329,229,354,729,629],"beta":{"interval_sums":[80571,77796,80321,78571,80196,75921],"interval_residues":[571,196,321,171,196,721],"display_cycle":[571,196,321,171,196,721],"intervals":[{"from_index":171,"to_index":371,"sum":80571,"residue":571},{"from_index":371,"to_index":571,"sum":77796,"residue":196},{"from_index":571,"to_index":771,"sum":80321,"residue":321},{"from_index":771,"to_index":971,"sum":78571,"residue":171},{"from_index":971,"to_index":1171,"sum":80196,"residue":196},{"from_index":1171,"to_index":171,"sum":75921,"residue":721}],"minimal_cycle":[571,196,321,171,196,721],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":571,"start_interval_clock_positions":[171,371],"circle_positions":800,"cycle_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":[172,372,572,772,972,1172],"clock_positions":[172,372,572,772,972,1172],"native_values":[339,464,189,739,464,589],"rotation_degrees":51.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[339,464,189,739,464,589],"beta":{"interval_sums":[80561,77561,80486,78561,80361,75686],"interval_residues":[561,761,486,161,361,486],"display_cycle":[561,761,486,161,361,486],"intervals":[{"from_index":172,"to_index":372,"sum":80561,"residue":561},{"from_index":372,"to_index":572,"sum":77561,"residue":761},{"from_index":572,"to_index":772,"sum":80486,"residue":486},{"from_index":772,"to_index":972,"sum":78561,"residue":161},{"from_index":972,"to_index":1172,"sum":80361,"residue":361},{"from_index":1172,"to_index":172,"sum":75686,"residue":486}],"minimal_cycle":[561,761,486,161,361,486],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":561,"start_interval_clock_positions":[172,372],"circle_positions":800,"cycle_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":[173,373,573,773,973,1173],"clock_positions":[173,373,573,773,973,1173],"native_values":[693,793,418,293,393,418],"rotation_degrees":51.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[693,793,418,293,393,418],"beta":{"interval_sums":[80332,76957,80807,78732,80557,75607],"interval_residues":[332,157,7,332,557,407],"display_cycle":[332,157,7,332,557,407],"intervals":[{"from_index":173,"to_index":373,"sum":80332,"residue":332},{"from_index":373,"to_index":573,"sum":76957,"residue":157},{"from_index":573,"to_index":773,"sum":80807,"residue":7},{"from_index":773,"to_index":973,"sum":78732,"residue":332},{"from_index":973,"to_index":1173,"sum":80557,"residue":557},{"from_index":1173,"to_index":173,"sum":75607,"residue":407}],"minimal_cycle":[332,157,7,332,557,407],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":332,"start_interval_clock_positions":[173,373],"circle_positions":800,"cycle_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":[174,374,574,774,974,1174],"clock_positions":[174,374,574,774,974,1174],"native_values":[232,457,607,232,57,207],"rotation_degrees":52.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[232,457,607,232,57,207],"beta":{"interval_sums":[80893,76918,80493,78893,80918,76093],"interval_residues":[93,118,493,493,118,93],"display_cycle":[93,118,493,493,118,93],"intervals":[{"from_index":174,"to_index":374,"sum":80893,"residue":93},{"from_index":374,"to_index":574,"sum":76918,"residue":118},{"from_index":574,"to_index":774,"sum":80493,"residue":493},{"from_index":774,"to_index":974,"sum":78893,"residue":493},{"from_index":974,"to_index":1174,"sum":80918,"residue":118},{"from_index":1174,"to_index":174,"sum":76093,"residue":93}],"minimal_cycle":[93,118,493,493,118,93],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":93,"start_interval_clock_positions":[174,374],"circle_positions":800,"cycle_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":[175,375,575,775,975,1175],"clock_positions":[175,375,575,775,975,1175],"native_values":[125,450,225,525,450,625],"rotation_degrees":52.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[125,450,225,525,450,625],"beta":{"interval_sums":[81225,77075,80500,78425,80675,75700],"interval_residues":[425,275,500,25,675,500],"display_cycle":[425,275,500,25,675,500],"intervals":[{"from_index":175,"to_index":375,"sum":81225,"residue":425},{"from_index":375,"to_index":575,"sum":77075,"residue":275},{"from_index":575,"to_index":775,"sum":80500,"residue":500},{"from_index":775,"to_index":975,"sum":78425,"residue":25},{"from_index":975,"to_index":1175,"sum":80675,"residue":675},{"from_index":1175,"to_index":175,"sum":75700,"residue":500}],"minimal_cycle":[425,275,500,25,675,500],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":425,"start_interval_clock_positions":[175,375],"circle_positions":800,"cycle_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":[176,376,576,776,976,1176],"clock_positions":[176,376,576,776,976,1176],"native_values":[357,107,32,757,507,32],"rotation_degrees":52.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[357,107,32,757,507,32],"beta":{"interval_sums":[81318,77193,80993,78118,80793,75793],"interval_residues":[518,393,193,518,793,593],"display_cycle":[518,393,193,518,793,593],"intervals":[{"from_index":176,"to_index":376,"sum":81318,"residue":518},{"from_index":376,"to_index":576,"sum":77193,"residue":393},{"from_index":576,"to_index":776,"sum":80993,"residue":193},{"from_index":776,"to_index":976,"sum":78118,"residue":518},{"from_index":976,"to_index":1176,"sum":80793,"residue":793},{"from_index":1176,"to_index":176,"sum":75793,"residue":593}],"minimal_cycle":[518,393,193,518,793,593],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":518,"start_interval_clock_positions":[176,376],"circle_positions":800,"cycle_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":[177,377,577,777,977,1177],"clock_positions":[177,377,577,777,977,1177],"native_values":[482,557,257,482,157,657],"rotation_degrees":53.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[482,557,257,482,157,657],"beta":{"interval_sums":[80943,76668,81493,78143,80668,75493],"interval_residues":[143,668,693,543,668,293],"display_cycle":[143,668,693,543,668,293],"intervals":[{"from_index":177,"to_index":377,"sum":80943,"residue":143},{"from_index":377,"to_index":577,"sum":76668,"residue":668},{"from_index":577,"to_index":777,"sum":81493,"residue":693},{"from_index":777,"to_index":977,"sum":78143,"residue":543},{"from_index":977,"to_index":1177,"sum":80668,"residue":668},{"from_index":1177,"to_index":177,"sum":75493,"residue":293}],"minimal_cycle":[143,668,693,543,668,293],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":143,"start_interval_clock_positions":[177,377],"circle_positions":800,"cycle_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":[178,378,578,778,978,1178],"clock_positions":[178,378,578,778,978,1178],"native_values":[39,664,289,439,664,689],"rotation_degrees":53.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[39,664,289,439,664,689],"beta":{"interval_sums":[81461,76261,81686,77861,80661,75286],"interval_residues":[661,261,86,261,661,86],"display_cycle":[661,261,86,261,661,86],"intervals":[{"from_index":178,"to_index":378,"sum":81461,"residue":661},{"from_index":378,"to_index":578,"sum":76261,"residue":261},{"from_index":578,"to_index":778,"sum":81686,"residue":86},{"from_index":778,"to_index":978,"sum":77861,"residue":261},{"from_index":978,"to_index":1178,"sum":80661,"residue":661},{"from_index":1178,"to_index":178,"sum":75286,"residue":86}],"minimal_cycle":[661,261,86,261,661,86],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":661,"start_interval_clock_positions":[178,378],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-179","shape":"Hexagon","alpha_indices":[179,379,579,779,979,1179],"clock_positions":[179,379,579,779,979,1179],"native_values":[521,421,546,121,21,546],"rotation_degrees":53.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[521,421,546,121,21,546],"beta":{"interval_sums":[81604,76129,81579,78404,81329,74779],"interval_residues":[4,129,779,4,529,379],"display_cycle":[4,129,779,4,529,379],"intervals":[{"from_index":179,"to_index":379,"sum":81604,"residue":4},{"from_index":379,"to_index":579,"sum":76129,"residue":129},{"from_index":579,"to_index":779,"sum":81579,"residue":779},{"from_index":779,"to_index":979,"sum":78404,"residue":4},{"from_index":979,"to_index":1179,"sum":81329,"residue":529},{"from_index":1179,"to_index":179,"sum":74779,"residue":379}],"minimal_cycle":[4,129,779,4,529,379],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":4,"start_interval_clock_positions":[179,379],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-180","shape":"Hexagon","alpha_indices":[180,380,580,780,980,1180],"clock_positions":[180,380,580,780,980,1180],"native_values":[560,285,35,560,685,435],"rotation_degrees":54.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[560,285,35,560,685,435],"beta":{"interval_sums":[81465,76390,81665,77865,81190,74865],"interval_residues":[665,390,65,265,390,465],"display_cycle":[665,390,65,265,390,465],"intervals":[{"from_index":180,"to_index":380,"sum":81465,"residue":665},{"from_index":380,"to_index":580,"sum":76390,"residue":390},{"from_index":580,"to_index":780,"sum":81665,"residue":65},{"from_index":780,"to_index":980,"sum":77865,"residue":265},{"from_index":980,"to_index":1180,"sum":81190,"residue":390},{"from_index":1180,"to_index":180,"sum":74865,"residue":465}],"minimal_cycle":[665,390,65,265,390,465],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":665,"start_interval_clock_positions":[180,380],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-181","shape":"Hexagon","alpha_indices":[181,381,581,781,981,1181],"clock_positions":[181,381,581,781,981,1181],"native_values":[281,706,581,681,706,181],"rotation_degrees":54.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[281,706,581,681,706,181],"beta":{"interval_sums":[81469,75719,81644,77869,80919,75244],"interval_residues":[669,519,44,269,119,44],"display_cycle":[669,519,44,269,119,44],"intervals":[{"from_index":181,"to_index":381,"sum":81469,"residue":669},{"from_index":381,"to_index":581,"sum":75719,"residue":519},{"from_index":581,"to_index":781,"sum":81644,"residue":44},{"from_index":781,"to_index":981,"sum":77869,"residue":269},{"from_index":981,"to_index":1181,"sum":80919,"residue":119},{"from_index":1181,"to_index":181,"sum":75244,"residue":44}],"minimal_cycle":[669,519,44,269,119,44],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":669,"start_interval_clock_positions":[181,381],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-182","shape":"Hexagon","alpha_indices":[182,382,582,782,982,1182],"clock_positions":[182,382,582,782,982,1182],"native_values":[41,191,616,441,591,616],"rotation_degrees":54.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[41,191,616,441,591,616],"beta":{"interval_sums":[82134,76109,81709,78134,80509,74909],"interval_residues":[534,109,109,534,509,509],"display_cycle":[534,109,109,534,509,509],"intervals":[{"from_index":182,"to_index":382,"sum":82134,"residue":534},{"from_index":382,"to_index":582,"sum":76109,"residue":109},{"from_index":582,"to_index":782,"sum":81709,"residue":109},{"from_index":782,"to_index":982,"sum":78134,"residue":534},{"from_index":982,"to_index":1182,"sum":80509,"residue":509},{"from_index":1182,"to_index":182,"sum":74909,"residue":509}],"minimal_cycle":[534,109,109,534,509,509],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":534,"start_interval_clock_positions":[182,382],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-183","shape":"Hexagon","alpha_indices":[183,383,583,783,983,1183],"clock_positions":[183,383,583,783,983,1183],"native_values":[322,97,397,322,497,797],"rotation_degrees":54.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[322,97,397,322,497,797],"beta":{"interval_sums":[82003,76628,81753,78403,80628,74153],"interval_residues":[403,628,153,3,628,553],"display_cycle":[403,628,153,3,628,553],"intervals":[{"from_index":183,"to_index":383,"sum":82003,"residue":403},{"from_index":383,"to_index":583,"sum":76628,"residue":628},{"from_index":583,"to_index":783,"sum":81753,"residue":153},{"from_index":783,"to_index":983,"sum":78403,"residue":3},{"from_index":983,"to_index":1183,"sum":80628,"residue":628},{"from_index":1183,"to_index":183,"sum":74153,"residue":553}],"minimal_cycle":[403,628,153,3,628,553],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":403,"start_interval_clock_positions":[183,383],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-184","shape":"Hexagon","alpha_indices":[184,384,584,784,984,1184],"clock_positions":[184,384,584,784,984,1184],"native_values":[363,288,213,763,288,613],"rotation_degrees":55.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[363,288,213,763,288,613],"beta":{"interval_sums":[81737,76737,81862,78137,81137,73862],"interval_residues":[137,737,262,537,337,262],"display_cycle":[137,737,262,537,337,262],"intervals":[{"from_index":184,"to_index":384,"sum":81737,"residue":137},{"from_index":384,"to_index":584,"sum":76737,"residue":737},{"from_index":584,"to_index":784,"sum":81862,"residue":262},{"from_index":784,"to_index":984,"sum":78137,"residue":537},{"from_index":984,"to_index":1184,"sum":81137,"residue":337},{"from_index":1184,"to_index":184,"sum":73862,"residue":262}],"minimal_cycle":[137,737,262,537,337,262],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":137,"start_interval_clock_positions":[184,384],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-185","shape":"Hexagon","alpha_indices":[185,385,585,785,985,1185],"clock_positions":[185,385,585,785,985,1185],"native_values":[685,385,610,285,785,610],"rotation_degrees":55.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[685,385,610,285,785,610],"beta":{"interval_sums":[81340,76565,82015,78140,80965,73615],"interval_residues":[540,565,415,540,165,15],"display_cycle":[540,565,415,540,165,15],"intervals":[{"from_index":185,"to_index":385,"sum":81340,"residue":540},{"from_index":385,"to_index":585,"sum":76565,"residue":565},{"from_index":585,"to_index":785,"sum":82015,"residue":415},{"from_index":785,"to_index":985,"sum":78140,"residue":540},{"from_index":985,"to_index":1185,"sum":80965,"residue":165},{"from_index":1185,"to_index":185,"sum":73615,"residue":15}],"minimal_cycle":[540,565,415,540,165,15],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":540,"start_interval_clock_positions":[185,385],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-186","shape":"Hexagon","alpha_indices":[186,386,586,786,986,1186],"clock_positions":[186,386,586,786,986,1186],"native_values":[248,673,23,248,273,423],"rotation_degrees":55.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[248,673,23,248,273,423],"beta":{"interval_sums":[81477,76502,82277,78677,81302,73877],"interval_residues":[677,502,677,277,502,277],"display_cycle":[677,502,677,277,502,277],"intervals":[{"from_index":186,"to_index":386,"sum":81477,"residue":677},{"from_index":386,"to_index":586,"sum":76502,"residue":502},{"from_index":586,"to_index":786,"sum":82277,"residue":677},{"from_index":786,"to_index":986,"sum":78677,"residue":277},{"from_index":986,"to_index":1186,"sum":81302,"residue":502},{"from_index":1186,"to_index":186,"sum":73877,"residue":277}],"minimal_cycle":[677,502,677,277,502,277],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":677,"start_interval_clock_positions":[186,386],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-187","shape":"Hexagon","alpha_indices":[187,387,587,787,987,1187],"clock_positions":[187,387,587,787,987,1187],"native_values":[133,258,633,533,258,233],"rotation_degrees":56.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[133,258,633,533,258,233],"beta":{"interval_sums":[82017,76267,81892,78417,81467,73892],"interval_residues":[417,267,292,17,667,292],"display_cycle":[417,267,292,17,667,292],"intervals":[{"from_index":187,"to_index":387,"sum":82017,"residue":417},{"from_index":387,"to_index":587,"sum":76267,"residue":267},{"from_index":587,"to_index":787,"sum":81892,"residue":292},{"from_index":787,"to_index":987,"sum":78417,"residue":17},{"from_index":987,"to_index":1187,"sum":81467,"residue":667},{"from_index":1187,"to_index":187,"sum":73892,"residue":292}],"minimal_cycle":[417,267,292,17,667,292],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":417,"start_interval_clock_positions":[187,387],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-188","shape":"Hexagon","alpha_indices":[188,388,588,788,988,1188],"clock_positions":[188,388,588,788,988,1188],"native_values":[381,131,656,781,531,656],"rotation_degrees":56.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[381,131,656,781,531,656],"beta":{"interval_sums":[81894,76769,81769,77894,81169,73369],"interval_residues":[294,769,169,294,369,569],"display_cycle":[294,769,169,294,369,569],"intervals":[{"from_index":188,"to_index":388,"sum":81894,"residue":294},{"from_index":388,"to_index":588,"sum":76769,"residue":769},{"from_index":588,"to_index":788,"sum":81769,"residue":169},{"from_index":788,"to_index":988,"sum":77894,"residue":294},{"from_index":988,"to_index":1188,"sum":81169,"residue":369},{"from_index":1188,"to_index":188,"sum":73369,"residue":569}],"minimal_cycle":[294,769,169,294,369,569],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":294,"start_interval_clock_positions":[188,388],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-189","shape":"Hexagon","alpha_indices":[189,389,589,789,989,1189],"clock_positions":[189,389,589,789,989,1189],"native_values":[514,389,489,514,789,89],"rotation_degrees":56.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[514,389,489,514,789,89],"beta":{"interval_sums":[81511,77036,82061,77911,81036,73661],"interval_residues":[711,236,461,311,236,61],"display_cycle":[711,236,461,311,236,61],"intervals":[{"from_index":189,"to_index":389,"sum":81511,"residue":711},{"from_index":389,"to_index":589,"sum":77036,"residue":236},{"from_index":589,"to_index":789,"sum":82061,"residue":461},{"from_index":789,"to_index":989,"sum":77911,"residue":311},{"from_index":989,"to_index":1189,"sum":81036,"residue":236},{"from_index":1189,"to_index":189,"sum":73661,"residue":61}],"minimal_cycle":[711,236,461,311,236,61],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":711,"start_interval_clock_positions":[189,389],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-190","shape":"Hexagon","alpha_indices":[190,390,590,790,990,1190],"clock_positions":[190,390,590,790,990,1190],"native_values":[95,520,345,495,520,745],"rotation_degrees":57.0,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[95,520,345,495,520,745],"beta":{"interval_sums":[81805,77005,82230,78205,80605,73430],"interval_residues":[205,205,630,605,605,630],"display_cycle":[205,205,630,605,605,630],"intervals":[{"from_index":190,"to_index":390,"sum":81805,"residue":205},{"from_index":390,"to_index":590,"sum":77005,"residue":205},{"from_index":590,"to_index":790,"sum":82230,"residue":630},{"from_index":790,"to_index":990,"sum":78205,"residue":605},{"from_index":990,"to_index":1190,"sum":80605,"residue":605},{"from_index":1190,"to_index":190,"sum":73430,"residue":630}],"minimal_cycle":[205,205,630,605,605,630],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":205,"start_interval_clock_positions":[190,390],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-191","shape":"Hexagon","alpha_indices":[191,391,591,791,991,1191],"clock_positions":[191,391,591,791,991,1191],"native_values":[609,109,34,209,509,34],"rotation_degrees":57.3,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[609,109,34,209,509,34],"beta":{"interval_sums":[81716,77241,82691,78516,80841,73491],"interval_residues":[116,441,291,116,41,691],"display_cycle":[116,441,291,116,41,691],"intervals":[{"from_index":191,"to_index":391,"sum":81716,"residue":116},{"from_index":391,"to_index":591,"sum":77241,"residue":441},{"from_index":591,"to_index":791,"sum":82691,"residue":291},{"from_index":791,"to_index":991,"sum":78516,"residue":116},{"from_index":991,"to_index":1191,"sum":80841,"residue":41},{"from_index":1191,"to_index":191,"sum":73491,"residue":691}],"minimal_cycle":[116,441,291,116,41,691],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":116,"start_interval_clock_positions":[191,391],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-192","shape":"Hexagon","alpha_indices":[192,392,592,792,992,1192],"clock_positions":[192,392,592,792,992,1192],"native_values":[704,629,379,704,229,779],"rotation_degrees":57.6,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[704,629,379,704,229,779],"beta":{"interval_sums":[81121,76646,82521,78321,80646,73321],"interval_residues":[321,646,121,721,646,521],"display_cycle":[321,646,121,721,646,521],"intervals":[{"from_index":192,"to_index":392,"sum":81121,"residue":321},{"from_index":392,"to_index":592,"sum":76646,"residue":646},{"from_index":592,"to_index":792,"sum":82521,"residue":121},{"from_index":792,"to_index":992,"sum":78321,"residue":721},{"from_index":992,"to_index":1192,"sum":80646,"residue":646},{"from_index":1192,"to_index":192,"sum":73321,"residue":521}],"minimal_cycle":[321,646,121,721,646,521],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":321,"start_interval_clock_positions":[192,392],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-193","shape":"Hexagon","alpha_indices":[193,393,593,793,993,1193],"clock_positions":[193,393,593,793,993,1193],"native_values":[513,738,413,113,738,13],"rotation_degrees":57.9,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[513,738,413,113,738,13],"beta":{"interval_sums":[81237,76287,82812,78437,80687,74012],"interval_residues":[437,287,412,37,687,412],"display_cycle":[437,287,412,37,687,412],"intervals":[{"from_index":193,"to_index":393,"sum":81237,"residue":437},{"from_index":393,"to_index":593,"sum":76287,"residue":287},{"from_index":593,"to_index":793,"sum":82812,"residue":412},{"from_index":793,"to_index":993,"sum":78437,"residue":37},{"from_index":993,"to_index":1193,"sum":80687,"residue":687},{"from_index":1193,"to_index":193,"sum":74012,"residue":412}],"minimal_cycle":[437,287,412,37,687,412],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":437,"start_interval_clock_positions":[193,393],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-194","shape":"Hexagon","alpha_indices":[194,394,594,794,994,1194],"clock_positions":[194,394,594,794,994,1194],"native_values":[417,567,792,17,167,792],"rotation_degrees":58.2,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[417,567,792,17,167,792],"beta":{"interval_sums":[81558,76133,82133,79158,80533,73733],"interval_residues":[758,133,533,758,533,133],"display_cycle":[758,133,533,758,533,133],"intervals":[{"from_index":194,"to_index":394,"sum":81558,"residue":758},{"from_index":394,"to_index":594,"sum":76133,"residue":133},{"from_index":594,"to_index":794,"sum":82133,"residue":533},{"from_index":794,"to_index":994,"sum":79158,"residue":758},{"from_index":994,"to_index":1194,"sum":80533,"residue":533},{"from_index":1194,"to_index":194,"sum":73733,"residue":133}],"minimal_cycle":[758,133,533,758,533,133],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":758,"start_interval_clock_positions":[194,394],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-195","shape":"Hexagon","alpha_indices":[195,395,595,795,995,1195],"clock_positions":[195,395,595,795,995,1195],"native_values":[130,505,405,130,105,5],"rotation_degrees":58.5,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[130,505,405,130,105,5],"beta":{"interval_sums":[81995,76420,81745,79195,81220,74145],"interval_residues":[395,420,145,795,420,545],"display_cycle":[395,420,145,795,420,545],"intervals":[{"from_index":195,"to_index":395,"sum":81995,"residue":395},{"from_index":395,"to_index":595,"sum":76420,"residue":420},{"from_index":595,"to_index":795,"sum":81745,"residue":145},{"from_index":795,"to_index":995,"sum":79195,"residue":795},{"from_index":995,"to_index":1195,"sum":81220,"residue":420},{"from_index":1195,"to_index":195,"sum":74145,"residue":545}],"minimal_cycle":[395,420,145,795,420,545],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":395,"start_interval_clock_positions":[195,395],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-196","shape":"Hexagon","alpha_indices":[196,396,596,796,996,1196],"clock_positions":[196,396,596,796,996,1196],"native_values":[547,272,397,147,272,797],"rotation_degrees":58.8,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[547,272,397,147,272,797],"beta":{"interval_sums":[81953,76553,81478,79153,80953,73478],"interval_residues":[353,553,678,753,153,678],"display_cycle":[353,553,678,753,153,678],"intervals":[{"from_index":196,"to_index":396,"sum":81953,"residue":353},{"from_index":396,"to_index":596,"sum":76553,"residue":553},{"from_index":596,"to_index":796,"sum":81478,"residue":678},{"from_index":796,"to_index":996,"sum":79153,"residue":753},{"from_index":996,"to_index":1196,"sum":80953,"residue":153},{"from_index":1196,"to_index":196,"sum":73478,"residue":678}],"minimal_cycle":[353,553,678,753,153,678],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":353,"start_interval_clock_positions":[196,396],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-197","shape":"Hexagon","alpha_indices":[197,397,597,797,997,1197],"clock_positions":[197,397,597,797,997,1197],"native_values":[677,777,2,277,377,2],"rotation_degrees":59.1,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[677,777,2,277,377,2],"beta":{"interval_sums":[81548,76173,81623,79148,81373,74023],"interval_residues":[748,173,23,748,573,423],"display_cycle":[748,173,23,748,573,423],"intervals":[{"from_index":197,"to_index":397,"sum":81548,"residue":748},{"from_index":397,"to_index":597,"sum":76173,"residue":173},{"from_index":597,"to_index":797,"sum":81623,"residue":23},{"from_index":797,"to_index":997,"sum":79148,"residue":748},{"from_index":997,"to_index":1197,"sum":81373,"residue":573},{"from_index":1197,"to_index":197,"sum":74023,"residue":423}],"minimal_cycle":[748,173,23,748,573,423],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":748,"start_interval_clock_positions":[197,397],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-198","shape":"Hexagon","alpha_indices":[198,398,598,798,998,1198],"clock_positions":[198,398,598,798,998,1198],"native_values":[424,249,399,424,649,799],"rotation_degrees":59.4,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[424,249,399,424,649,799],"beta":{"interval_sums":[81901,75926,81501,79101,80726,73901],"interval_residues":[301,726,701,701,726,301],"display_cycle":[301,726,701,701,726,301],"intervals":[{"from_index":198,"to_index":398,"sum":81901,"residue":301},{"from_index":398,"to_index":598,"sum":75926,"residue":726},{"from_index":598,"to_index":798,"sum":81501,"residue":701},{"from_index":798,"to_index":998,"sum":79101,"residue":701},{"from_index":998,"to_index":1198,"sum":80726,"residue":726},{"from_index":1198,"to_index":198,"sum":73901,"residue":301}],"minimal_cycle":[301,726,701,701,726,301],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":301,"start_interval_clock_positions":[198,398],"circle_positions":800,"cycle_length":6,"endpoint_rule":"Exclude endpoints, include wraparound; raw residues used for sums. Empty interiors sum to zero."},"epsilon_routes":[]},{"id":"6-nodes-offset-199","shape":"Hexagon","alpha_indices":[199,399,599,799,999,1199],"clock_positions":[199,399,599,799,999,1199],"native_values":[301,226,401,701,226,1],"rotation_degrees":59.7,"north_south":false,"in_primary_gamma":false,"uniform_values":false,"minimal_value_cycle":[301,226,401,701,226,1],"beta":{"interval_sums":[81849,76099,81524,79049,81299,74324],"interval_residues":[249,99,724,649,499,724],"display_cycle":[249,99,724,649,499,724],"intervals":[{"from_index":199,"to_index":399,"sum":81849,"residue":249},{"from_index":399,"to_index":599,"sum":76099,"residue":99},{"from_index":599,"to_index":799,"sum":81524,"residue":724},{"from_index":799,"to_index":999,"sum":79049,"residue":649},{"from_index":999,"to_index":1199,"sum":81299,"residue":499},{"from_index":1199,"to_index":199,"sum":74324,"residue":724}],"minimal_cycle":[249,99,724,649,499,724],"native_doubling":false,"recognised_doubling_cycle":null,"rotation_to_recognised":null,"m9_doubling_cycle_present":false,"start_value":249,"start_interval_clock_positions":[199,399],"circle_positions":800,"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":[0,400,1000,600,200,800,0],"clock_positions":[1200,400,1000,600,200,800,1200],"native_values":[800,475,75,800,725,325,800],"reduced_m9_values":[9,7,3,9,5,1,9],"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":200,"candidates":[{"formation_id":"6-nodes-offset-0","alpha_indices":[0,200,400,600,800,1000],"clock_positions":[1200,200,400,600,800,1000],"native_values":[800,725,475,800,325,75],"rotation_degrees":0.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":0,"clock_position":1200,"value":800},{"alpha_index":200,"clock_position":200,"value":725},{"alpha_index":400,"clock_position":400,"value":475},{"alpha_index":600,"clock_position":600,"value":800},{"alpha_index":800,"clock_position":800,"value":325},{"alpha_index":1000,"clock_position":1000,"value":75}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-1","alpha_indices":[1,201,401,601,801,1001],"clock_positions":[1,201,401,601,801,1001],"native_values":[1,226,701,401,226,301],"rotation_degrees":0.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":1,"clock_position":1,"value":1},{"alpha_index":201,"clock_position":201,"value":226},{"alpha_index":401,"clock_position":401,"value":701},{"alpha_index":601,"clock_position":601,"value":401},{"alpha_index":801,"clock_position":801,"value":226},{"alpha_index":1001,"clock_position":1001,"value":301}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-2","alpha_indices":[2,202,402,602,802,1002],"clock_positions":[2,202,402,602,802,1002],"native_values":[1,151,376,401,551,376],"rotation_degrees":0.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":2,"clock_position":2,"value":1},{"alpha_index":202,"clock_position":202,"value":151},{"alpha_index":402,"clock_position":402,"value":376},{"alpha_index":602,"clock_position":602,"value":401},{"alpha_index":802,"clock_position":802,"value":551},{"alpha_index":1002,"clock_position":1002,"value":376}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-3","alpha_indices":[3,203,403,603,803,1003],"clock_positions":[3,203,403,603,803,1003],"native_values":[2,377,277,2,777,677],"rotation_degrees":0.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":3,"clock_position":3,"value":2},{"alpha_index":203,"clock_position":203,"value":377},{"alpha_index":403,"clock_position":403,"value":277},{"alpha_index":603,"clock_position":603,"value":2},{"alpha_index":803,"clock_position":803,"value":777},{"alpha_index":1003,"clock_position":1003,"value":677}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-4","alpha_indices":[4,204,404,604,804,1004],"clock_positions":[4,204,404,604,804,1004],"native_values":[3,528,653,403,528,253],"rotation_degrees":1.2,"missing_required_values":[6,9],"failing_nodes":[{"alpha_index":204,"clock_position":204,"value":528},{"alpha_index":404,"clock_position":404,"value":653},{"alpha_index":604,"clock_position":604,"value":403},{"alpha_index":804,"clock_position":804,"value":528},{"alpha_index":1004,"clock_position":1004,"value":253}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-5","alpha_indices":[5,205,405,605,805,1005],"clock_positions":[5,205,405,605,805,1005],"native_values":[5,105,130,405,505,130],"rotation_degrees":1.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":5,"clock_position":5,"value":5},{"alpha_index":205,"clock_position":205,"value":105},{"alpha_index":405,"clock_position":405,"value":130},{"alpha_index":605,"clock_position":605,"value":405},{"alpha_index":805,"clock_position":805,"value":505},{"alpha_index":1005,"clock_position":1005,"value":130}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-6","alpha_indices":[6,206,406,606,806,1006],"clock_positions":[6,206,406,606,806,1006],"native_values":[8,633,783,8,233,383],"rotation_degrees":1.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":6,"clock_position":6,"value":8},{"alpha_index":206,"clock_position":206,"value":633},{"alpha_index":406,"clock_position":406,"value":783},{"alpha_index":606,"clock_position":606,"value":8},{"alpha_index":806,"clock_position":806,"value":233},{"alpha_index":1006,"clock_position":1006,"value":383}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-7","alpha_indices":[7,207,407,607,807,1007],"clock_positions":[7,207,407,607,807,1007],"native_values":[13,738,113,413,738,513],"rotation_degrees":2.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":7,"clock_position":7,"value":13},{"alpha_index":207,"clock_position":207,"value":738},{"alpha_index":407,"clock_position":407,"value":113},{"alpha_index":607,"clock_position":607,"value":413},{"alpha_index":807,"clock_position":807,"value":738},{"alpha_index":1007,"clock_position":1007,"value":513}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-8","alpha_indices":[8,208,408,608,808,1008],"clock_positions":[8,208,408,608,808,1008],"native_values":[21,571,96,421,171,96],"rotation_degrees":2.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":8,"clock_position":8,"value":21},{"alpha_index":208,"clock_position":208,"value":571},{"alpha_index":408,"clock_position":408,"value":96},{"alpha_index":608,"clock_position":608,"value":421},{"alpha_index":808,"clock_position":808,"value":171},{"alpha_index":1008,"clock_position":1008,"value":96}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-9","alpha_indices":[9,209,409,609,809,1009],"clock_positions":[9,209,409,609,809,1009],"native_values":[34,509,209,34,109,609],"rotation_degrees":2.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":9,"clock_position":9,"value":34},{"alpha_index":209,"clock_position":209,"value":509},{"alpha_index":409,"clock_position":409,"value":209},{"alpha_index":609,"clock_position":609,"value":34},{"alpha_index":809,"clock_position":809,"value":109},{"alpha_index":1009,"clock_position":1009,"value":609}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-10","alpha_indices":[10,210,410,610,810,1010],"clock_positions":[10,210,410,610,810,1010],"native_values":[55,280,305,455,280,705],"rotation_degrees":3.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":10,"clock_position":10,"value":55},{"alpha_index":210,"clock_position":210,"value":280},{"alpha_index":410,"clock_position":410,"value":305},{"alpha_index":610,"clock_position":610,"value":455},{"alpha_index":810,"clock_position":810,"value":280},{"alpha_index":1010,"clock_position":1010,"value":705}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-11","alpha_indices":[11,211,411,611,811,1011],"clock_positions":[11,211,411,611,811,1011],"native_values":[89,789,514,489,389,514],"rotation_degrees":3.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":11,"clock_position":11,"value":89},{"alpha_index":211,"clock_position":211,"value":789},{"alpha_index":411,"clock_position":411,"value":514},{"alpha_index":611,"clock_position":611,"value":489},{"alpha_index":811,"clock_position":811,"value":389},{"alpha_index":1011,"clock_position":1011,"value":514}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-12","alpha_indices":[12,212,412,612,812,1012],"clock_positions":[12,212,412,612,812,1012],"native_values":[144,269,19,144,669,419],"rotation_degrees":3.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":12,"clock_position":12,"value":144},{"alpha_index":212,"clock_position":212,"value":269},{"alpha_index":412,"clock_position":412,"value":19},{"alpha_index":612,"clock_position":612,"value":144},{"alpha_index":812,"clock_position":812,"value":669},{"alpha_index":1012,"clock_position":1012,"value":419}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-13","alpha_indices":[13,213,413,613,813,1013],"clock_positions":[13,213,413,613,813,1013],"native_values":[233,258,533,633,258,133],"rotation_degrees":3.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":13,"clock_position":13,"value":233},{"alpha_index":213,"clock_position":213,"value":258},{"alpha_index":413,"clock_position":413,"value":533},{"alpha_index":613,"clock_position":613,"value":633},{"alpha_index":813,"clock_position":813,"value":258},{"alpha_index":1013,"clock_position":1013,"value":133}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-14","alpha_indices":[14,214,414,614,814,1014],"clock_positions":[14,214,414,614,814,1014],"native_values":[377,527,552,777,127,552],"rotation_degrees":4.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":14,"clock_position":14,"value":377},{"alpha_index":214,"clock_position":214,"value":527},{"alpha_index":414,"clock_position":414,"value":552},{"alpha_index":614,"clock_position":614,"value":777},{"alpha_index":814,"clock_position":814,"value":127},{"alpha_index":1014,"clock_position":1014,"value":552}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-15","alpha_indices":[15,215,415,615,815,1015],"clock_positions":[15,215,415,615,815,1015],"native_values":[610,785,285,610,385,685],"rotation_degrees":4.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":15,"clock_position":15,"value":610},{"alpha_index":215,"clock_position":215,"value":785},{"alpha_index":415,"clock_position":415,"value":285},{"alpha_index":615,"clock_position":615,"value":610},{"alpha_index":815,"clock_position":815,"value":385},{"alpha_index":1015,"clock_position":1015,"value":685}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-16","alpha_indices":[16,216,416,616,816,1016],"clock_positions":[16,216,416,616,816,1016],"native_values":[187,512,37,587,512,437],"rotation_degrees":4.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":16,"clock_position":16,"value":187},{"alpha_index":216,"clock_position":216,"value":512},{"alpha_index":416,"clock_position":416,"value":37},{"alpha_index":616,"clock_position":616,"value":587},{"alpha_index":816,"clock_position":816,"value":512},{"alpha_index":1016,"clock_position":1016,"value":437}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-17","alpha_indices":[17,217,417,617,817,1017],"clock_positions":[17,217,417,617,817,1017],"native_values":[797,497,322,397,97,322],"rotation_degrees":5.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":17,"clock_position":17,"value":797},{"alpha_index":217,"clock_position":217,"value":497},{"alpha_index":417,"clock_position":417,"value":322},{"alpha_index":617,"clock_position":617,"value":397},{"alpha_index":817,"clock_position":817,"value":97},{"alpha_index":1017,"clock_position":1017,"value":322}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-18","alpha_indices":[18,218,418,618,818,1018],"clock_positions":[18,218,418,618,818,1018],"native_values":[184,209,359,184,609,759],"rotation_degrees":5.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":18,"clock_position":18,"value":184},{"alpha_index":218,"clock_position":218,"value":209},{"alpha_index":418,"clock_position":418,"value":359},{"alpha_index":618,"clock_position":618,"value":184},{"alpha_index":818,"clock_position":818,"value":609},{"alpha_index":1018,"clock_position":1018,"value":759}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-19","alpha_indices":[19,219,419,619,819,1019],"clock_positions":[19,219,419,619,819,1019],"native_values":[181,706,681,581,706,281],"rotation_degrees":5.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":19,"clock_position":19,"value":181},{"alpha_index":219,"clock_position":219,"value":706},{"alpha_index":419,"clock_position":419,"value":681},{"alpha_index":619,"clock_position":619,"value":581},{"alpha_index":819,"clock_position":819,"value":706},{"alpha_index":1019,"clock_position":1019,"value":281}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-20","alpha_indices":[20,220,420,620,820,1020],"clock_positions":[20,220,420,620,820,1020],"native_values":[365,115,240,765,515,240],"rotation_degrees":6.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":20,"clock_position":20,"value":365},{"alpha_index":220,"clock_position":220,"value":115},{"alpha_index":420,"clock_position":420,"value":240},{"alpha_index":620,"clock_position":620,"value":765},{"alpha_index":820,"clock_position":820,"value":515},{"alpha_index":1020,"clock_position":1020,"value":240}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-21","alpha_indices":[21,221,421,621,821,1021],"clock_positions":[21,221,421,621,821,1021],"native_values":[546,21,121,546,421,521],"rotation_degrees":6.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":21,"clock_position":21,"value":546},{"alpha_index":221,"clock_position":221,"value":21},{"alpha_index":421,"clock_position":421,"value":121},{"alpha_index":621,"clock_position":621,"value":546},{"alpha_index":821,"clock_position":821,"value":421},{"alpha_index":1021,"clock_position":1021,"value":521}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-22","alpha_indices":[22,222,422,622,822,1022],"clock_positions":[22,222,422,622,822,1022],"native_values":[111,136,361,511,136,761],"rotation_degrees":6.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":22,"clock_position":22,"value":111},{"alpha_index":222,"clock_position":222,"value":136},{"alpha_index":422,"clock_position":422,"value":361},{"alpha_index":622,"clock_position":622,"value":511},{"alpha_index":822,"clock_position":822,"value":136},{"alpha_index":1022,"clock_position":1022,"value":761}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-23","alpha_indices":[23,223,423,623,823,1023],"clock_positions":[23,223,423,623,823,1023],"native_values":[657,157,482,257,557,482],"rotation_degrees":6.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":23,"clock_position":23,"value":657},{"alpha_index":223,"clock_position":223,"value":157},{"alpha_index":423,"clock_position":423,"value":482},{"alpha_index":623,"clock_position":623,"value":257},{"alpha_index":823,"clock_position":823,"value":557},{"alpha_index":1023,"clock_position":1023,"value":482}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-24","alpha_indices":[24,224,424,624,824,1024],"clock_positions":[24,224,424,624,824,1024],"native_values":[768,293,43,768,693,443],"rotation_degrees":7.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":24,"clock_position":24,"value":768},{"alpha_index":224,"clock_position":224,"value":293},{"alpha_index":424,"clock_position":424,"value":43},{"alpha_index":624,"clock_position":624,"value":768},{"alpha_index":824,"clock_position":824,"value":693},{"alpha_index":1024,"clock_position":1024,"value":443}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-25","alpha_indices":[25,225,425,625,825,1025],"clock_positions":[25,225,425,625,825,1025],"native_values":[625,450,525,225,450,125],"rotation_degrees":7.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":25,"clock_position":25,"value":625},{"alpha_index":225,"clock_position":225,"value":450},{"alpha_index":425,"clock_position":425,"value":525},{"alpha_index":625,"clock_position":625,"value":225},{"alpha_index":825,"clock_position":825,"value":450},{"alpha_index":1025,"clock_position":1025,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-26","alpha_indices":[26,226,426,626,826,1026],"clock_positions":[26,226,426,626,826,1026],"native_values":[593,743,568,193,343,568],"rotation_degrees":7.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":26,"clock_position":26,"value":593},{"alpha_index":226,"clock_position":226,"value":743},{"alpha_index":426,"clock_position":426,"value":568},{"alpha_index":626,"clock_position":626,"value":193},{"alpha_index":826,"clock_position":826,"value":343},{"alpha_index":1026,"clock_position":1026,"value":568}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-27","alpha_indices":[27,227,427,627,827,1027],"clock_positions":[27,227,427,627,827,1027],"native_values":[418,393,293,418,793,693],"rotation_degrees":8.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":27,"clock_position":27,"value":418},{"alpha_index":227,"clock_position":227,"value":393},{"alpha_index":427,"clock_position":427,"value":293},{"alpha_index":627,"clock_position":627,"value":418},{"alpha_index":827,"clock_position":827,"value":793},{"alpha_index":1027,"clock_position":1027,"value":693}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-28","alpha_indices":[28,228,428,628,828,1028],"clock_positions":[28,228,428,628,828,1028],"native_values":[211,336,61,611,336,461],"rotation_degrees":8.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":28,"clock_position":28,"value":211},{"alpha_index":228,"clock_position":228,"value":336},{"alpha_index":428,"clock_position":428,"value":61},{"alpha_index":628,"clock_position":628,"value":611},{"alpha_index":828,"clock_position":828,"value":336},{"alpha_index":1028,"clock_position":1028,"value":461}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-29","alpha_indices":[29,229,429,629,829,1029],"clock_positions":[29,229,429,629,829,1029],"native_values":[629,729,354,229,329,354],"rotation_degrees":8.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":29,"clock_position":29,"value":629},{"alpha_index":229,"clock_position":229,"value":729},{"alpha_index":429,"clock_position":429,"value":354},{"alpha_index":629,"clock_position":629,"value":229},{"alpha_index":829,"clock_position":829,"value":329},{"alpha_index":1029,"clock_position":1029,"value":354}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-30","alpha_indices":[30,230,430,630,830,1030],"clock_positions":[30,230,430,630,830,1030],"native_values":[40,265,415,40,665,15],"rotation_degrees":9.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":30,"clock_position":30,"value":40},{"alpha_index":230,"clock_position":230,"value":265},{"alpha_index":430,"clock_position":430,"value":415},{"alpha_index":630,"clock_position":630,"value":40},{"alpha_index":830,"clock_position":830,"value":665},{"alpha_index":1030,"clock_position":1030,"value":15}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-31","alpha_indices":[31,231,431,631,831,1031],"clock_positions":[31,231,431,631,831,1031],"native_values":[669,194,769,269,194,369],"rotation_degrees":9.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":31,"clock_position":31,"value":669},{"alpha_index":231,"clock_position":231,"value":194},{"alpha_index":431,"clock_position":431,"value":769},{"alpha_index":631,"clock_position":631,"value":269},{"alpha_index":831,"clock_position":831,"value":194},{"alpha_index":1031,"clock_position":1031,"value":369}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-32","alpha_indices":[32,232,432,632,832,1032],"clock_positions":[32,232,432,632,832,1032],"native_values":[709,459,384,309,59,384],"rotation_degrees":9.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":32,"clock_position":32,"value":709},{"alpha_index":232,"clock_position":232,"value":459},{"alpha_index":432,"clock_position":432,"value":384},{"alpha_index":632,"clock_position":632,"value":309},{"alpha_index":832,"clock_position":832,"value":59},{"alpha_index":1032,"clock_position":1032,"value":384}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-33","alpha_indices":[33,233,433,633,833,1033],"clock_positions":[33,233,433,633,833,1033],"native_values":[578,653,353,578,253,753],"rotation_degrees":9.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":33,"clock_position":33,"value":578},{"alpha_index":233,"clock_position":233,"value":653},{"alpha_index":433,"clock_position":433,"value":353},{"alpha_index":633,"clock_position":633,"value":578},{"alpha_index":833,"clock_position":833,"value":253},{"alpha_index":1033,"clock_position":1033,"value":753}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-34","alpha_indices":[34,234,434,634,834,1034],"clock_positions":[34,234,434,634,834,1034],"native_values":[487,312,737,87,312,337],"rotation_degrees":10.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":34,"clock_position":34,"value":487},{"alpha_index":234,"clock_position":234,"value":312},{"alpha_index":434,"clock_position":434,"value":737},{"alpha_index":634,"clock_position":634,"value":87},{"alpha_index":834,"clock_position":834,"value":312},{"alpha_index":1034,"clock_position":1034,"value":337}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-35","alpha_indices":[35,235,435,635,835,1035],"clock_positions":[35,235,435,635,835,1035],"native_values":[265,165,290,665,565,290],"rotation_degrees":10.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":35,"clock_position":35,"value":265},{"alpha_index":235,"clock_position":235,"value":165},{"alpha_index":435,"clock_position":435,"value":290},{"alpha_index":635,"clock_position":635,"value":665},{"alpha_index":835,"clock_position":835,"value":565},{"alpha_index":1035,"clock_position":1035,"value":290}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-36","alpha_indices":[36,236,436,636,836,1036],"clock_positions":[36,236,436,636,836,1036],"native_values":[752,477,227,752,77,627],"rotation_degrees":10.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":36,"clock_position":36,"value":752},{"alpha_index":236,"clock_position":236,"value":477},{"alpha_index":436,"clock_position":436,"value":227},{"alpha_index":636,"clock_position":636,"value":752},{"alpha_index":836,"clock_position":836,"value":77},{"alpha_index":1036,"clock_position":1036,"value":627}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-37","alpha_indices":[37,237,437,637,837,1037],"clock_positions":[37,237,437,637,837,1037],"native_values":[217,642,517,617,642,117],"rotation_degrees":11.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":37,"clock_position":37,"value":217},{"alpha_index":237,"clock_position":237,"value":642},{"alpha_index":437,"clock_position":437,"value":517},{"alpha_index":637,"clock_position":637,"value":617},{"alpha_index":837,"clock_position":837,"value":642},{"alpha_index":1037,"clock_position":1037,"value":117}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-38","alpha_indices":[38,238,438,638,838,1038],"clock_positions":[38,238,438,638,838,1038],"native_values":[169,319,744,569,719,744],"rotation_degrees":11.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":38,"clock_position":38,"value":169},{"alpha_index":238,"clock_position":238,"value":319},{"alpha_index":438,"clock_position":438,"value":744},{"alpha_index":638,"clock_position":638,"value":569},{"alpha_index":838,"clock_position":838,"value":719},{"alpha_index":1038,"clock_position":1038,"value":744}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-39","alpha_indices":[39,239,439,639,839,1039],"clock_positions":[39,239,439,639,839,1039],"native_values":[386,161,461,386,561,61],"rotation_degrees":11.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":39,"clock_position":39,"value":386},{"alpha_index":239,"clock_position":239,"value":161},{"alpha_index":439,"clock_position":439,"value":461},{"alpha_index":639,"clock_position":639,"value":386},{"alpha_index":839,"clock_position":839,"value":561},{"alpha_index":1039,"clock_position":1039,"value":61}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-40","alpha_indices":[40,240,440,640,840,1040],"clock_positions":[40,240,440,640,840,1040],"native_values":[555,480,405,155,480,5],"rotation_degrees":12.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":40,"clock_position":40,"value":555},{"alpha_index":240,"clock_position":240,"value":480},{"alpha_index":440,"clock_position":440,"value":405},{"alpha_index":640,"clock_position":640,"value":155},{"alpha_index":840,"clock_position":840,"value":480},{"alpha_index":1040,"clock_position":1040,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-41","alpha_indices":[41,241,441,641,841,1041],"clock_positions":[41,241,441,641,841,1041],"native_values":[141,641,66,541,241,66],"rotation_degrees":12.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":41,"clock_position":41,"value":141},{"alpha_index":241,"clock_position":241,"value":641},{"alpha_index":441,"clock_position":441,"value":66},{"alpha_index":641,"clock_position":641,"value":541},{"alpha_index":841,"clock_position":841,"value":241},{"alpha_index":1041,"clock_position":1041,"value":66}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-42","alpha_indices":[42,242,442,642,842,1042],"clock_positions":[42,242,442,642,842,1042],"native_values":[696,321,471,696,721,71],"rotation_degrees":12.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":42,"clock_position":42,"value":696},{"alpha_index":242,"clock_position":242,"value":321},{"alpha_index":442,"clock_position":442,"value":471},{"alpha_index":642,"clock_position":642,"value":696},{"alpha_index":842,"clock_position":842,"value":721},{"alpha_index":1042,"clock_position":1042,"value":71}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-43","alpha_indices":[43,243,443,643,843,1043],"clock_positions":[43,243,443,643,843,1043],"native_values":[37,162,537,437,162,137],"rotation_degrees":12.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":43,"clock_position":43,"value":37},{"alpha_index":243,"clock_position":243,"value":162},{"alpha_index":443,"clock_position":443,"value":537},{"alpha_index":643,"clock_position":643,"value":437},{"alpha_index":843,"clock_position":843,"value":162},{"alpha_index":1043,"clock_position":1043,"value":137}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-44","alpha_indices":[44,244,444,644,844,1044],"clock_positions":[44,244,444,644,844,1044],"native_values":[733,483,208,333,83,208],"rotation_degrees":13.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":44,"clock_position":44,"value":733},{"alpha_index":244,"clock_position":244,"value":483},{"alpha_index":444,"clock_position":444,"value":208},{"alpha_index":644,"clock_position":644,"value":333},{"alpha_index":844,"clock_position":844,"value":83},{"alpha_index":1044,"clock_position":1044,"value":208}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-45","alpha_indices":[45,245,445,645,845,1045],"clock_positions":[45,245,445,645,845,1045],"native_values":[770,645,745,770,245,345],"rotation_degrees":13.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":45,"clock_position":45,"value":770},{"alpha_index":245,"clock_position":245,"value":645},{"alpha_index":445,"clock_position":445,"value":745},{"alpha_index":645,"clock_position":645,"value":770},{"alpha_index":845,"clock_position":845,"value":245},{"alpha_index":1045,"clock_position":1045,"value":345}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-46","alpha_indices":[46,246,446,646,846,1046],"clock_positions":[46,246,446,646,846,1046],"native_values":[703,328,153,303,328,553],"rotation_degrees":13.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":46,"clock_position":46,"value":703},{"alpha_index":246,"clock_position":246,"value":328},{"alpha_index":446,"clock_position":446,"value":153},{"alpha_index":646,"clock_position":646,"value":303},{"alpha_index":846,"clock_position":846,"value":328},{"alpha_index":1046,"clock_position":1046,"value":553}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-47","alpha_indices":[47,247,447,647,847,1047],"clock_positions":[47,247,447,647,847,1047],"native_values":[673,173,98,273,573,98],"rotation_degrees":14.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":47,"clock_position":47,"value":673},{"alpha_index":247,"clock_position":247,"value":173},{"alpha_index":447,"clock_position":447,"value":98},{"alpha_index":647,"clock_position":647,"value":273},{"alpha_index":847,"clock_position":847,"value":573},{"alpha_index":1047,"clock_position":1047,"value":98}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-48","alpha_indices":[48,248,448,648,848,1048],"clock_positions":[48,248,448,648,848,1048],"native_values":[576,501,251,576,101,651],"rotation_degrees":14.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":48,"clock_position":48,"value":576},{"alpha_index":248,"clock_position":248,"value":501},{"alpha_index":448,"clock_position":448,"value":251},{"alpha_index":648,"clock_position":648,"value":576},{"alpha_index":848,"clock_position":848,"value":101},{"alpha_index":1048,"clock_position":1048,"value":651}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-49","alpha_indices":[49,249,449,649,849,1049],"clock_positions":[49,249,449,649,849,1049],"native_values":[449,674,349,49,674,749],"rotation_degrees":14.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":49,"clock_position":49,"value":449},{"alpha_index":249,"clock_position":249,"value":674},{"alpha_index":449,"clock_position":449,"value":349},{"alpha_index":649,"clock_position":649,"value":49},{"alpha_index":849,"clock_position":849,"value":674},{"alpha_index":1049,"clock_position":1049,"value":749}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-50","alpha_indices":[50,250,450,650,850,1050],"clock_positions":[50,250,450,650,850,1050],"native_values":[225,375,600,625,775,600],"rotation_degrees":15.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":50,"clock_position":50,"value":225},{"alpha_index":250,"clock_position":250,"value":375},{"alpha_index":450,"clock_position":450,"value":600},{"alpha_index":650,"clock_position":650,"value":625},{"alpha_index":850,"clock_position":850,"value":775},{"alpha_index":1050,"clock_position":1050,"value":600}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-51","alpha_indices":[51,251,451,651,851,1051],"clock_positions":[51,251,451,651,851,1051],"native_values":[674,249,149,674,649,549],"rotation_degrees":15.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":51,"clock_position":51,"value":674},{"alpha_index":251,"clock_position":251,"value":249},{"alpha_index":451,"clock_position":451,"value":149},{"alpha_index":651,"clock_position":651,"value":674},{"alpha_index":851,"clock_position":851,"value":649},{"alpha_index":1051,"clock_position":1051,"value":549}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-52","alpha_indices":[52,252,452,652,852,1052],"clock_positions":[52,252,452,652,852,1052],"native_values":[99,624,749,499,624,349],"rotation_degrees":15.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":52,"clock_position":52,"value":99},{"alpha_index":252,"clock_position":252,"value":624},{"alpha_index":452,"clock_position":452,"value":749},{"alpha_index":652,"clock_position":652,"value":499},{"alpha_index":852,"clock_position":852,"value":624},{"alpha_index":1052,"clock_position":1052,"value":349}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-53","alpha_indices":[53,253,453,653,853,1053],"clock_positions":[53,253,453,653,853,1053],"native_values":[773,73,98,373,473,98],"rotation_degrees":15.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":53,"clock_position":53,"value":773},{"alpha_index":253,"clock_position":253,"value":73},{"alpha_index":453,"clock_position":453,"value":98},{"alpha_index":653,"clock_position":653,"value":373},{"alpha_index":853,"clock_position":853,"value":473},{"alpha_index":1053,"clock_position":1053,"value":98}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-54","alpha_indices":[54,254,454,654,854,1054],"clock_positions":[54,254,454,654,854,1054],"native_values":[72,697,47,72,297,447],"rotation_degrees":16.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":54,"clock_position":54,"value":72},{"alpha_index":254,"clock_position":254,"value":697},{"alpha_index":454,"clock_position":454,"value":47},{"alpha_index":654,"clock_position":654,"value":72},{"alpha_index":854,"clock_position":854,"value":297},{"alpha_index":1054,"clock_position":1054,"value":447}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-55","alpha_indices":[55,255,455,655,855,1055],"clock_positions":[55,255,455,655,855,1055],"native_values":[45,770,145,445,770,545],"rotation_degrees":16.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":55,"clock_position":55,"value":45},{"alpha_index":255,"clock_position":255,"value":770},{"alpha_index":455,"clock_position":455,"value":145},{"alpha_index":655,"clock_position":655,"value":445},{"alpha_index":855,"clock_position":855,"value":770},{"alpha_index":1055,"clock_position":1055,"value":545}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-56","alpha_indices":[56,256,456,656,856,1056],"clock_positions":[56,256,456,656,856,1056],"native_values":[117,667,192,517,267,192],"rotation_degrees":16.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":56,"clock_position":56,"value":117},{"alpha_index":256,"clock_position":256,"value":667},{"alpha_index":456,"clock_position":456,"value":192},{"alpha_index":656,"clock_position":656,"value":517},{"alpha_index":856,"clock_position":856,"value":267},{"alpha_index":1056,"clock_position":1056,"value":192}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-57","alpha_indices":[57,257,457,657,857,1057],"clock_positions":[57,257,457,657,857,1057],"native_values":[162,637,337,162,237,737],"rotation_degrees":17.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":57,"clock_position":57,"value":162},{"alpha_index":257,"clock_position":257,"value":637},{"alpha_index":457,"clock_position":457,"value":337},{"alpha_index":657,"clock_position":657,"value":162},{"alpha_index":857,"clock_position":857,"value":237},{"alpha_index":1057,"clock_position":1057,"value":737}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-58","alpha_indices":[58,258,458,658,858,1058],"clock_positions":[58,258,458,658,858,1058],"native_values":[279,504,529,679,504,129],"rotation_degrees":17.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":58,"clock_position":58,"value":279},{"alpha_index":258,"clock_position":258,"value":504},{"alpha_index":458,"clock_position":458,"value":529},{"alpha_index":658,"clock_position":658,"value":679},{"alpha_index":858,"clock_position":858,"value":504},{"alpha_index":1058,"clock_position":1058,"value":129}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-59","alpha_indices":[59,259,459,659,859,1059],"clock_positions":[59,259,459,659,859,1059],"native_values":[441,341,66,41,741,66],"rotation_degrees":17.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":59,"clock_position":59,"value":441},{"alpha_index":259,"clock_position":259,"value":341},{"alpha_index":459,"clock_position":459,"value":66},{"alpha_index":659,"clock_position":659,"value":41},{"alpha_index":859,"clock_position":859,"value":741},{"alpha_index":1059,"clock_position":1059,"value":66}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-60","alpha_indices":[60,260,460,660,860,1060],"clock_positions":[60,260,460,660,860,1060],"native_values":[720,45,595,720,445,195],"rotation_degrees":18.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":60,"clock_position":60,"value":720},{"alpha_index":260,"clock_position":260,"value":45},{"alpha_index":460,"clock_position":460,"value":595},{"alpha_index":660,"clock_position":660,"value":720},{"alpha_index":860,"clock_position":860,"value":445},{"alpha_index":1060,"clock_position":1060,"value":195}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-61","alpha_indices":[61,261,461,661,861,1061],"clock_positions":[61,261,461,661,861,1061],"native_values":[361,386,661,761,386,261],"rotation_degrees":18.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":61,"clock_position":61,"value":361},{"alpha_index":261,"clock_position":261,"value":386},{"alpha_index":461,"clock_position":461,"value":661},{"alpha_index":661,"clock_position":661,"value":761},{"alpha_index":861,"clock_position":861,"value":386},{"alpha_index":1061,"clock_position":1061,"value":261}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-62","alpha_indices":[62,262,462,662,862,1062],"clock_positions":[62,262,462,662,862,1062],"native_values":[281,431,456,681,31,456],"rotation_degrees":18.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":62,"clock_position":62,"value":281},{"alpha_index":262,"clock_position":262,"value":431},{"alpha_index":462,"clock_position":462,"value":456},{"alpha_index":662,"clock_position":662,"value":681},{"alpha_index":862,"clock_position":862,"value":31},{"alpha_index":1062,"clock_position":1062,"value":456}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-63","alpha_indices":[63,263,463,663,863,1063],"clock_positions":[63,263,463,663,863,1063],"native_values":[642,17,317,642,417,717],"rotation_degrees":18.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":63,"clock_position":63,"value":642},{"alpha_index":263,"clock_position":263,"value":17},{"alpha_index":463,"clock_position":463,"value":317},{"alpha_index":663,"clock_position":663,"value":642},{"alpha_index":863,"clock_position":863,"value":417},{"alpha_index":1063,"clock_position":1063,"value":717}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-64","alpha_indices":[64,264,464,664,864,1064],"clock_positions":[64,264,464,664,864,1064],"native_values":[123,448,773,523,448,373],"rotation_degrees":19.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":64,"clock_position":64,"value":123},{"alpha_index":264,"clock_position":264,"value":448},{"alpha_index":464,"clock_position":464,"value":773},{"alpha_index":664,"clock_position":664,"value":523},{"alpha_index":864,"clock_position":864,"value":448},{"alpha_index":1064,"clock_position":1064,"value":373}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-65","alpha_indices":[65,265,465,665,865,1065],"clock_positions":[65,265,465,665,865,1065],"native_values":[765,465,290,365,65,290],"rotation_degrees":19.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":65,"clock_position":65,"value":765},{"alpha_index":265,"clock_position":265,"value":465},{"alpha_index":465,"clock_position":465,"value":290},{"alpha_index":665,"clock_position":665,"value":365},{"alpha_index":865,"clock_position":865,"value":65},{"alpha_index":1065,"clock_position":1065,"value":290}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-66","alpha_indices":[66,266,466,666,866,1066],"clock_positions":[66,266,466,666,866,1066],"native_values":[88,113,263,88,513,663],"rotation_degrees":19.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":66,"clock_position":66,"value":88},{"alpha_index":266,"clock_position":266,"value":113},{"alpha_index":466,"clock_position":466,"value":263},{"alpha_index":666,"clock_position":666,"value":88},{"alpha_index":866,"clock_position":866,"value":513},{"alpha_index":1066,"clock_position":1066,"value":663}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-67","alpha_indices":[67,267,467,667,867,1067],"clock_positions":[67,267,467,667,867,1067],"native_values":[53,578,553,453,578,153],"rotation_degrees":20.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":67,"clock_position":67,"value":53},{"alpha_index":267,"clock_position":267,"value":578},{"alpha_index":467,"clock_position":467,"value":553},{"alpha_index":667,"clock_position":667,"value":453},{"alpha_index":867,"clock_position":867,"value":578},{"alpha_index":1067,"clock_position":1067,"value":153}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-68","alpha_indices":[68,268,468,668,868,1068],"clock_positions":[68,268,468,668,868,1068],"native_values":[141,691,16,541,291,16],"rotation_degrees":20.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":68,"clock_position":68,"value":141},{"alpha_index":268,"clock_position":268,"value":691},{"alpha_index":468,"clock_position":468,"value":16},{"alpha_index":668,"clock_position":668,"value":541},{"alpha_index":868,"clock_position":868,"value":291},{"alpha_index":1068,"clock_position":1068,"value":16}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-69","alpha_indices":[69,269,469,669,869,1069],"clock_positions":[69,269,469,669,869,1069],"native_values":[194,469,569,194,69,169],"rotation_degrees":20.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":69,"clock_position":69,"value":194},{"alpha_index":269,"clock_position":269,"value":469},{"alpha_index":469,"clock_position":469,"value":569},{"alpha_index":669,"clock_position":669,"value":194},{"alpha_index":869,"clock_position":869,"value":69},{"alpha_index":1069,"clock_position":1069,"value":169}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-70","alpha_indices":[70,270,470,670,870,1070],"clock_positions":[70,270,470,670,870,1070],"native_values":[335,360,585,735,360,185],"rotation_degrees":21.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":70,"clock_position":70,"value":335},{"alpha_index":270,"clock_position":270,"value":360},{"alpha_index":470,"clock_position":470,"value":585},{"alpha_index":670,"clock_position":670,"value":735},{"alpha_index":870,"clock_position":870,"value":360},{"alpha_index":1070,"clock_position":1070,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-71","alpha_indices":[71,271,471,671,871,1071],"clock_positions":[71,271,471,671,871,1071],"native_values":[529,29,354,129,429,354],"rotation_degrees":21.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":71,"clock_position":71,"value":529},{"alpha_index":271,"clock_position":271,"value":29},{"alpha_index":471,"clock_position":471,"value":354},{"alpha_index":671,"clock_position":671,"value":129},{"alpha_index":871,"clock_position":871,"value":429},{"alpha_index":1071,"clock_position":1071,"value":354}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-72","alpha_indices":[72,272,472,672,872,1072],"clock_positions":[72,272,472,672,872,1072],"native_values":[64,389,139,64,789,539],"rotation_degrees":21.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":72,"clock_position":72,"value":64},{"alpha_index":272,"clock_position":272,"value":389},{"alpha_index":472,"clock_position":472,"value":139},{"alpha_index":672,"clock_position":672,"value":64},{"alpha_index":872,"clock_position":872,"value":789},{"alpha_index":1072,"clock_position":1072,"value":539}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-73","alpha_indices":[73,273,473,673,873,1073],"clock_positions":[73,273,473,673,873,1073],"native_values":[593,418,493,193,418,93],"rotation_degrees":21.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":73,"clock_position":73,"value":593},{"alpha_index":273,"clock_position":273,"value":418},{"alpha_index":473,"clock_position":473,"value":493},{"alpha_index":673,"clock_position":673,"value":193},{"alpha_index":873,"clock_position":873,"value":418},{"alpha_index":1073,"clock_position":1073,"value":93}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-74","alpha_indices":[74,274,474,674,874,1074],"clock_positions":[74,274,474,674,874,1074],"native_values":[657,7,632,257,407,632],"rotation_degrees":22.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":74,"clock_position":74,"value":657},{"alpha_index":274,"clock_position":274,"value":7},{"alpha_index":474,"clock_position":474,"value":632},{"alpha_index":674,"clock_position":674,"value":257},{"alpha_index":874,"clock_position":874,"value":407},{"alpha_index":1074,"clock_position":1074,"value":632}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-75","alpha_indices":[75,275,475,675,875,1075],"clock_positions":[75,275,475,675,875,1075],"native_values":[450,425,325,450,25,725],"rotation_degrees":22.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":75,"clock_position":75,"value":450},{"alpha_index":275,"clock_position":275,"value":425},{"alpha_index":475,"clock_position":475,"value":325},{"alpha_index":675,"clock_position":675,"value":450},{"alpha_index":875,"clock_position":875,"value":25},{"alpha_index":1075,"clock_position":1075,"value":725}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-76","alpha_indices":[76,276,476,676,876,1076],"clock_positions":[76,276,476,676,876,1076],"native_values":[307,432,157,707,432,557],"rotation_degrees":22.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":76,"clock_position":76,"value":307},{"alpha_index":276,"clock_position":276,"value":432},{"alpha_index":476,"clock_position":476,"value":157},{"alpha_index":676,"clock_position":676,"value":707},{"alpha_index":876,"clock_position":876,"value":432},{"alpha_index":1076,"clock_position":1076,"value":557}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-77","alpha_indices":[77,277,477,677,877,1077],"clock_positions":[77,277,477,677,877,1077],"native_values":[757,57,482,357,457,482],"rotation_degrees":23.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":77,"clock_position":77,"value":757},{"alpha_index":277,"clock_position":277,"value":57},{"alpha_index":477,"clock_position":477,"value":482},{"alpha_index":677,"clock_position":677,"value":357},{"alpha_index":877,"clock_position":877,"value":457},{"alpha_index":1077,"clock_position":1077,"value":482}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-78","alpha_indices":[78,278,478,678,878,1078],"clock_positions":[78,278,478,678,878,1078],"native_values":[264,489,639,264,89,239],"rotation_degrees":23.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":78,"clock_position":78,"value":264},{"alpha_index":278,"clock_position":278,"value":489},{"alpha_index":478,"clock_position":478,"value":639},{"alpha_index":678,"clock_position":678,"value":264},{"alpha_index":878,"clock_position":878,"value":89},{"alpha_index":1078,"clock_position":1078,"value":239}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-79","alpha_indices":[79,279,479,679,879,1079],"clock_positions":[79,279,479,679,879,1079],"native_values":[221,546,321,621,546,721],"rotation_degrees":23.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":79,"clock_position":79,"value":221},{"alpha_index":279,"clock_position":279,"value":546},{"alpha_index":479,"clock_position":479,"value":321},{"alpha_index":679,"clock_position":679,"value":621},{"alpha_index":879,"clock_position":879,"value":546},{"alpha_index":1079,"clock_position":1079,"value":721}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-80","alpha_indices":[80,280,480,680,880,1080],"clock_positions":[80,280,480,680,880,1080],"native_values":[485,235,160,85,635,160],"rotation_degrees":24.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":80,"clock_position":80,"value":485},{"alpha_index":280,"clock_position":280,"value":235},{"alpha_index":480,"clock_position":480,"value":160},{"alpha_index":680,"clock_position":680,"value":85},{"alpha_index":880,"clock_position":880,"value":635},{"alpha_index":1080,"clock_position":1080,"value":160}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-81","alpha_indices":[81,281,481,681,881,1081],"clock_positions":[81,281,481,681,881,1081],"native_values":[706,781,481,706,381,81],"rotation_degrees":24.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":81,"clock_position":81,"value":706},{"alpha_index":281,"clock_position":281,"value":781},{"alpha_index":481,"clock_position":481,"value":481},{"alpha_index":681,"clock_position":681,"value":706},{"alpha_index":881,"clock_position":881,"value":381},{"alpha_index":1081,"clock_position":1081,"value":81}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-82","alpha_indices":[82,282,482,682,882,1082],"clock_positions":[82,282,482,682,882,1082],"native_values":[391,216,641,791,216,241],"rotation_degrees":24.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":82,"clock_position":82,"value":391},{"alpha_index":282,"clock_position":282,"value":216},{"alpha_index":482,"clock_position":482,"value":641},{"alpha_index":682,"clock_position":682,"value":791},{"alpha_index":882,"clock_position":882,"value":216},{"alpha_index":1082,"clock_position":1082,"value":241}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-83","alpha_indices":[83,283,483,683,883,1083],"clock_positions":[83,283,483,683,883,1083],"native_values":[297,197,322,697,597,322],"rotation_degrees":24.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":83,"clock_position":83,"value":297},{"alpha_index":283,"clock_position":283,"value":197},{"alpha_index":483,"clock_position":483,"value":322},{"alpha_index":683,"clock_position":683,"value":697},{"alpha_index":883,"clock_position":883,"value":597},{"alpha_index":1083,"clock_position":1083,"value":322}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-84","alpha_indices":[84,284,484,684,884,1084],"clock_positions":[84,284,484,684,884,1084],"native_values":[688,413,163,688,13,563],"rotation_degrees":25.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":84,"clock_position":84,"value":688},{"alpha_index":284,"clock_position":284,"value":413},{"alpha_index":484,"clock_position":484,"value":163},{"alpha_index":684,"clock_position":684,"value":688},{"alpha_index":884,"clock_position":884,"value":13},{"alpha_index":1084,"clock_position":1084,"value":563}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-85","alpha_indices":[85,285,485,685,885,1085],"clock_positions":[85,285,485,685,885,1085],"native_values":[185,610,485,585,610,85],"rotation_degrees":25.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":85,"clock_position":85,"value":185},{"alpha_index":285,"clock_position":285,"value":610},{"alpha_index":485,"clock_position":485,"value":485},{"alpha_index":685,"clock_position":685,"value":585},{"alpha_index":885,"clock_position":885,"value":610},{"alpha_index":1085,"clock_position":1085,"value":85}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-86","alpha_indices":[86,286,486,686,886,1086],"clock_positions":[86,286,486,686,886,1086],"native_values":[73,223,648,473,623,648],"rotation_degrees":25.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":86,"clock_position":86,"value":73},{"alpha_index":286,"clock_position":286,"value":223},{"alpha_index":486,"clock_position":486,"value":648},{"alpha_index":686,"clock_position":686,"value":473},{"alpha_index":886,"clock_position":886,"value":623},{"alpha_index":1086,"clock_position":1086,"value":648}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-87","alpha_indices":[87,287,487,687,887,1087],"clock_positions":[87,287,487,687,887,1087],"native_values":[258,33,333,258,433,733],"rotation_degrees":26.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":87,"clock_position":87,"value":258},{"alpha_index":287,"clock_position":287,"value":33},{"alpha_index":487,"clock_position":487,"value":333},{"alpha_index":687,"clock_position":687,"value":258},{"alpha_index":887,"clock_position":887,"value":433},{"alpha_index":1087,"clock_position":1087,"value":733}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-88","alpha_indices":[88,288,488,688,888,1088],"clock_positions":[88,288,488,688,888,1088],"native_values":[331,256,181,731,256,581],"rotation_degrees":26.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":88,"clock_position":88,"value":331},{"alpha_index":288,"clock_position":288,"value":256},{"alpha_index":488,"clock_position":488,"value":181},{"alpha_index":688,"clock_position":688,"value":731},{"alpha_index":888,"clock_position":888,"value":256},{"alpha_index":1088,"clock_position":1088,"value":581}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-89","alpha_indices":[89,289,489,689,889,1089],"clock_positions":[89,289,489,689,889,1089],"native_values":[589,289,514,189,689,514],"rotation_degrees":26.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":89,"clock_position":89,"value":589},{"alpha_index":289,"clock_position":289,"value":289},{"alpha_index":489,"clock_position":489,"value":514},{"alpha_index":689,"clock_position":689,"value":189},{"alpha_index":889,"clock_position":889,"value":689},{"alpha_index":1089,"clock_position":1089,"value":514}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-90","alpha_indices":[90,290,490,690,890,1090],"clock_positions":[90,290,490,690,890,1090],"native_values":[120,545,695,120,145,295],"rotation_degrees":27.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":90,"clock_position":90,"value":120},{"alpha_index":290,"clock_position":290,"value":545},{"alpha_index":490,"clock_position":490,"value":695},{"alpha_index":690,"clock_position":690,"value":120},{"alpha_index":890,"clock_position":890,"value":145},{"alpha_index":1090,"clock_position":1090,"value":295}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-91","alpha_indices":[91,291,491,691,891,1091],"clock_positions":[91,291,491,691,891,1091],"native_values":[709,34,409,309,34,9],"rotation_degrees":27.3,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":91,"clock_position":91,"value":709},{"alpha_index":291,"clock_position":291,"value":34},{"alpha_index":491,"clock_position":491,"value":409},{"alpha_index":691,"clock_position":691,"value":309},{"alpha_index":891,"clock_position":891,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-92","alpha_indices":[92,292,492,692,892,1092],"clock_positions":[92,292,492,692,892,1092],"native_values":[29,579,304,429,179,304],"rotation_degrees":27.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":92,"clock_position":92,"value":29},{"alpha_index":292,"clock_position":292,"value":579},{"alpha_index":492,"clock_position":492,"value":304},{"alpha_index":692,"clock_position":692,"value":429},{"alpha_index":892,"clock_position":892,"value":179},{"alpha_index":1092,"clock_position":1092,"value":304}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-93","alpha_indices":[93,293,493,693,893,1093],"clock_positions":[93,293,493,693,893,1093],"native_values":[738,613,713,738,213,313],"rotation_degrees":27.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":93,"clock_position":93,"value":738},{"alpha_index":293,"clock_position":293,"value":613},{"alpha_index":493,"clock_position":493,"value":713},{"alpha_index":693,"clock_position":693,"value":738},{"alpha_index":893,"clock_position":893,"value":213},{"alpha_index":1093,"clock_position":1093,"value":313}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-94","alpha_indices":[94,294,494,694,894,1094],"clock_positions":[94,294,494,694,894,1094],"native_values":[767,392,217,367,392,617],"rotation_degrees":28.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":94,"clock_position":94,"value":767},{"alpha_index":294,"clock_position":294,"value":392},{"alpha_index":494,"clock_position":494,"value":217},{"alpha_index":694,"clock_position":694,"value":367},{"alpha_index":894,"clock_position":894,"value":392},{"alpha_index":1094,"clock_position":1094,"value":617}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-95","alpha_indices":[95,295,495,695,895,1095],"clock_positions":[95,295,495,695,895,1095],"native_values":[705,205,130,305,605,130],"rotation_degrees":28.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":95,"clock_position":95,"value":705},{"alpha_index":295,"clock_position":295,"value":205},{"alpha_index":495,"clock_position":495,"value":130},{"alpha_index":695,"clock_position":695,"value":305},{"alpha_index":895,"clock_position":895,"value":605},{"alpha_index":1095,"clock_position":1095,"value":130}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-96","alpha_indices":[96,296,496,696,896,1096],"clock_positions":[96,296,496,696,896,1096],"native_values":[672,597,347,672,197,747],"rotation_degrees":28.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":96,"clock_position":96,"value":672},{"alpha_index":296,"clock_position":296,"value":597},{"alpha_index":496,"clock_position":496,"value":347},{"alpha_index":696,"clock_position":696,"value":672},{"alpha_index":896,"clock_position":896,"value":197},{"alpha_index":1096,"clock_position":1096,"value":747}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-97","alpha_indices":[97,297,497,697,897,1097],"clock_positions":[97,297,497,697,897,1097],"native_values":[577,2,477,177,2,77],"rotation_degrees":29.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":97,"clock_position":97,"value":577},{"alpha_index":297,"clock_position":297,"value":2},{"alpha_index":497,"clock_position":497,"value":477},{"alpha_index":697,"clock_position":697,"value":177},{"alpha_index":897,"clock_position":897,"value":2},{"alpha_index":1097,"clock_position":1097,"value":77}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-98","alpha_indices":[98,298,498,698,898,1098],"clock_positions":[98,298,498,698,898,1098],"native_values":[449,599,24,49,199,24],"rotation_degrees":29.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":98,"clock_position":98,"value":449},{"alpha_index":298,"clock_position":298,"value":599},{"alpha_index":498,"clock_position":498,"value":24},{"alpha_index":698,"clock_position":698,"value":49},{"alpha_index":898,"clock_position":898,"value":199},{"alpha_index":1098,"clock_position":1098,"value":24}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-99","alpha_indices":[99,299,499,699,899,1099],"clock_positions":[99,299,499,699,899,1099],"native_values":[226,601,501,226,201,101],"rotation_degrees":29.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":99,"clock_position":99,"value":226},{"alpha_index":299,"clock_position":299,"value":601},{"alpha_index":499,"clock_position":499,"value":501},{"alpha_index":699,"clock_position":699,"value":226},{"alpha_index":899,"clock_position":899,"value":201},{"alpha_index":1099,"clock_position":1099,"value":101}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-100","alpha_indices":[100,300,500,700,900,1100],"clock_positions":[100,300,500,700,900,1100],"native_values":[675,400,525,275,400,125],"rotation_degrees":30.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":100,"clock_position":100,"value":675},{"alpha_index":300,"clock_position":300,"value":400},{"alpha_index":500,"clock_position":500,"value":525},{"alpha_index":700,"clock_position":700,"value":275},{"alpha_index":900,"clock_position":900,"value":400},{"alpha_index":1100,"clock_position":1100,"value":125}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-101","alpha_indices":[101,301,501,701,901,1101],"clock_positions":[101,301,501,701,901,1101],"native_values":[101,201,226,501,601,226],"rotation_degrees":30.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":101,"clock_position":101,"value":101},{"alpha_index":301,"clock_position":301,"value":201},{"alpha_index":501,"clock_position":501,"value":226},{"alpha_index":701,"clock_position":701,"value":501},{"alpha_index":901,"clock_position":901,"value":601},{"alpha_index":1101,"clock_position":1101,"value":226}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-102","alpha_indices":[102,302,502,702,902,1102],"clock_positions":[102,302,502,702,902,1102],"native_values":[776,601,751,776,201,351],"rotation_degrees":30.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":102,"clock_position":102,"value":776},{"alpha_index":302,"clock_position":302,"value":601},{"alpha_index":502,"clock_position":502,"value":751},{"alpha_index":702,"clock_position":702,"value":776},{"alpha_index":902,"clock_position":902,"value":201},{"alpha_index":1102,"clock_position":1102,"value":351}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-103","alpha_indices":[103,303,503,703,903,1103],"clock_positions":[103,303,503,703,903,1103],"native_values":[77,2,177,477,2,577],"rotation_degrees":30.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":103,"clock_position":103,"value":77},{"alpha_index":303,"clock_position":303,"value":2},{"alpha_index":503,"clock_position":503,"value":177},{"alpha_index":703,"clock_position":703,"value":477},{"alpha_index":903,"clock_position":903,"value":2},{"alpha_index":1103,"clock_position":1103,"value":577}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-104","alpha_indices":[104,304,504,704,904,1104],"clock_positions":[104,304,504,704,904,1104],"native_values":[53,603,128,453,203,128],"rotation_degrees":31.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":104,"clock_position":104,"value":53},{"alpha_index":304,"clock_position":304,"value":603},{"alpha_index":504,"clock_position":504,"value":128},{"alpha_index":704,"clock_position":704,"value":453},{"alpha_index":904,"clock_position":904,"value":203},{"alpha_index":1104,"clock_position":1104,"value":128}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-105","alpha_indices":[105,305,505,705,905,1105],"clock_positions":[105,305,505,705,905,1105],"native_values":[130,605,305,130,205,705],"rotation_degrees":31.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":105,"clock_position":105,"value":130},{"alpha_index":305,"clock_position":305,"value":605},{"alpha_index":505,"clock_position":505,"value":305},{"alpha_index":705,"clock_position":705,"value":130},{"alpha_index":905,"clock_position":905,"value":205},{"alpha_index":1105,"clock_position":1105,"value":705}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-106","alpha_indices":[106,306,506,706,906,1106],"clock_positions":[106,306,506,706,906,1106],"native_values":[183,408,433,583,408,33],"rotation_degrees":31.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":106,"clock_position":106,"value":183},{"alpha_index":306,"clock_position":306,"value":408},{"alpha_index":506,"clock_position":506,"value":433},{"alpha_index":706,"clock_position":706,"value":583},{"alpha_index":906,"clock_position":906,"value":408},{"alpha_index":1106,"clock_position":1106,"value":33}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-107","alpha_indices":[107,307,507,707,907,1107],"clock_positions":[107,307,507,707,907,1107],"native_values":[313,213,738,713,613,738],"rotation_degrees":32.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":107,"clock_position":107,"value":313},{"alpha_index":307,"clock_position":307,"value":213},{"alpha_index":507,"clock_position":507,"value":738},{"alpha_index":707,"clock_position":707,"value":713},{"alpha_index":907,"clock_position":907,"value":613},{"alpha_index":1107,"clock_position":1107,"value":738}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-108","alpha_indices":[108,308,508,708,908,1108],"clock_positions":[108,308,508,708,908,1108],"native_values":[496,621,371,496,221,771],"rotation_degrees":32.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":108,"clock_position":108,"value":496},{"alpha_index":308,"clock_position":308,"value":621},{"alpha_index":508,"clock_position":508,"value":371},{"alpha_index":708,"clock_position":708,"value":496},{"alpha_index":908,"clock_position":908,"value":221},{"alpha_index":1108,"clock_position":1108,"value":771}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-109","alpha_indices":[109,309,509,709,909,1109],"clock_positions":[109,309,509,709,909,1109],"native_values":[9,34,309,409,34,709],"rotation_degrees":32.7,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":309,"clock_position":309,"value":34},{"alpha_index":509,"clock_position":509,"value":309},{"alpha_index":709,"clock_position":709,"value":409},{"alpha_index":909,"clock_position":909,"value":34},{"alpha_index":1109,"clock_position":1109,"value":709}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-110","alpha_indices":[110,310,510,710,910,1110],"clock_positions":[110,310,510,710,910,1110],"native_values":[505,655,680,105,255,680],"rotation_degrees":33.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":110,"clock_position":110,"value":505},{"alpha_index":310,"clock_position":310,"value":655},{"alpha_index":510,"clock_position":510,"value":680},{"alpha_index":710,"clock_position":710,"value":105},{"alpha_index":910,"clock_position":910,"value":255},{"alpha_index":1110,"clock_position":1110,"value":680}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-111","alpha_indices":[111,311,511,711,911,1111],"clock_positions":[111,311,511,711,911,1111],"native_values":[514,689,189,514,289,589],"rotation_degrees":33.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":111,"clock_position":111,"value":514},{"alpha_index":311,"clock_position":311,"value":689},{"alpha_index":511,"clock_position":511,"value":189},{"alpha_index":711,"clock_position":711,"value":514},{"alpha_index":911,"clock_position":911,"value":289},{"alpha_index":1111,"clock_position":1111,"value":589}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-112","alpha_indices":[112,312,512,712,912,1112],"clock_positions":[112,312,512,712,912,1112],"native_values":[219,544,69,619,544,469],"rotation_degrees":33.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":112,"clock_position":112,"value":219},{"alpha_index":312,"clock_position":312,"value":544},{"alpha_index":512,"clock_position":512,"value":69},{"alpha_index":712,"clock_position":712,"value":619},{"alpha_index":912,"clock_position":912,"value":544},{"alpha_index":1112,"clock_position":1112,"value":469}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-113","alpha_indices":[113,313,513,713,913,1113],"clock_positions":[113,313,513,713,913,1113],"native_values":[733,433,258,333,33,258],"rotation_degrees":33.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":113,"clock_position":113,"value":733},{"alpha_index":313,"clock_position":313,"value":433},{"alpha_index":513,"clock_position":513,"value":258},{"alpha_index":713,"clock_position":713,"value":333},{"alpha_index":913,"clock_position":913,"value":33},{"alpha_index":1113,"clock_position":1113,"value":258}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-114","alpha_indices":[114,314,514,714,914,1114],"clock_positions":[114,314,514,714,914,1114],"native_values":[152,177,327,152,577,727],"rotation_degrees":34.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":114,"clock_position":114,"value":152},{"alpha_index":314,"clock_position":314,"value":177},{"alpha_index":514,"clock_position":514,"value":327},{"alpha_index":714,"clock_position":714,"value":152},{"alpha_index":914,"clock_position":914,"value":577},{"alpha_index":1114,"clock_position":1114,"value":727}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-115","alpha_indices":[115,315,515,715,915,1115],"clock_positions":[115,315,515,715,915,1115],"native_values":[85,610,585,485,610,185],"rotation_degrees":34.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":115,"clock_position":115,"value":85},{"alpha_index":315,"clock_position":315,"value":610},{"alpha_index":515,"clock_position":515,"value":585},{"alpha_index":715,"clock_position":715,"value":485},{"alpha_index":915,"clock_position":915,"value":610},{"alpha_index":1115,"clock_position":1115,"value":185}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-116","alpha_indices":[116,316,516,716,916,1116],"clock_positions":[116,316,516,716,916,1116],"native_values":[237,787,112,637,387,112],"rotation_degrees":34.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":116,"clock_position":116,"value":237},{"alpha_index":316,"clock_position":316,"value":787},{"alpha_index":516,"clock_position":516,"value":112},{"alpha_index":716,"clock_position":716,"value":637},{"alpha_index":916,"clock_position":916,"value":387},{"alpha_index":1116,"clock_position":1116,"value":112}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-117","alpha_indices":[117,317,517,717,917,1117],"clock_positions":[117,317,517,717,917,1117],"native_values":[322,597,697,322,197,297],"rotation_degrees":35.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":117,"clock_position":117,"value":322},{"alpha_index":317,"clock_position":317,"value":597},{"alpha_index":517,"clock_position":517,"value":697},{"alpha_index":717,"clock_position":717,"value":322},{"alpha_index":917,"clock_position":917,"value":197},{"alpha_index":1117,"clock_position":1117,"value":297}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-118","alpha_indices":[118,318,518,718,918,1118],"clock_positions":[118,318,518,718,918,1118],"native_values":[559,584,9,159,584,409],"rotation_degrees":35.4,"missing_required_values":[3,6],"failing_nodes":[{"alpha_index":118,"clock_position":118,"value":559},{"alpha_index":318,"clock_position":318,"value":584},{"alpha_index":718,"clock_position":718,"value":159},{"alpha_index":918,"clock_position":918,"value":584},{"alpha_index":1118,"clock_position":1118,"value":409}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-119","alpha_indices":[119,319,519,719,919,1119],"clock_positions":[119,319,519,719,919,1119],"native_values":[81,381,706,481,781,706],"rotation_degrees":35.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":119,"clock_position":119,"value":81},{"alpha_index":319,"clock_position":319,"value":381},{"alpha_index":519,"clock_position":519,"value":706},{"alpha_index":719,"clock_position":719,"value":481},{"alpha_index":919,"clock_position":919,"value":781},{"alpha_index":1119,"clock_position":1119,"value":706}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-120","alpha_indices":[120,320,520,720,920,1120],"clock_positions":[120,320,520,720,920,1120],"native_values":[640,165,715,640,565,315],"rotation_degrees":36.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":120,"clock_position":120,"value":640},{"alpha_index":320,"clock_position":320,"value":165},{"alpha_index":520,"clock_position":520,"value":715},{"alpha_index":720,"clock_position":720,"value":640},{"alpha_index":920,"clock_position":920,"value":565},{"alpha_index":1120,"clock_position":1120,"value":315}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-121","alpha_indices":[121,321,521,721,921,1121],"clock_positions":[121,321,521,721,921,1121],"native_values":[721,546,621,321,546,221],"rotation_degrees":36.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":121,"clock_position":121,"value":721},{"alpha_index":321,"clock_position":321,"value":546},{"alpha_index":521,"clock_position":521,"value":621},{"alpha_index":721,"clock_position":721,"value":321},{"alpha_index":921,"clock_position":921,"value":546},{"alpha_index":1121,"clock_position":1121,"value":221}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-122","alpha_indices":[122,322,522,722,922,1122],"clock_positions":[122,322,522,722,922,1122],"native_values":[561,711,536,161,311,536],"rotation_degrees":36.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":122,"clock_position":122,"value":561},{"alpha_index":322,"clock_position":322,"value":711},{"alpha_index":522,"clock_position":522,"value":536},{"alpha_index":722,"clock_position":722,"value":161},{"alpha_index":922,"clock_position":922,"value":311},{"alpha_index":1122,"clock_position":1122,"value":536}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-123","alpha_indices":[123,323,523,723,923,1123],"clock_positions":[123,323,523,723,923,1123],"native_values":[482,457,357,482,57,757],"rotation_degrees":36.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":123,"clock_position":123,"value":482},{"alpha_index":323,"clock_position":323,"value":457},{"alpha_index":523,"clock_position":523,"value":357},{"alpha_index":723,"clock_position":723,"value":482},{"alpha_index":923,"clock_position":923,"value":57},{"alpha_index":1123,"clock_position":1123,"value":757}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-124","alpha_indices":[124,324,524,724,924,1124],"clock_positions":[124,324,524,724,924,1124],"native_values":[243,368,93,643,368,493],"rotation_degrees":37.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":124,"clock_position":124,"value":243},{"alpha_index":324,"clock_position":324,"value":368},{"alpha_index":524,"clock_position":524,"value":93},{"alpha_index":724,"clock_position":724,"value":643},{"alpha_index":924,"clock_position":924,"value":368},{"alpha_index":1124,"clock_position":1124,"value":493}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-125","alpha_indices":[125,325,525,725,925,1125],"clock_positions":[125,325,525,725,925,1125],"native_values":[725,25,450,325,425,450],"rotation_degrees":37.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":125,"clock_position":125,"value":725},{"alpha_index":325,"clock_position":325,"value":25},{"alpha_index":525,"clock_position":525,"value":450},{"alpha_index":725,"clock_position":725,"value":325},{"alpha_index":925,"clock_position":925,"value":425},{"alpha_index":1125,"clock_position":1125,"value":450}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-126","alpha_indices":[126,326,526,726,926,1126],"clock_positions":[126,326,526,726,926,1126],"native_values":[168,393,543,168,793,143],"rotation_degrees":37.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":126,"clock_position":126,"value":168},{"alpha_index":326,"clock_position":326,"value":393},{"alpha_index":526,"clock_position":526,"value":543},{"alpha_index":726,"clock_position":726,"value":168},{"alpha_index":926,"clock_position":926,"value":793},{"alpha_index":1126,"clock_position":1126,"value":143}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-127","alpha_indices":[127,327,527,727,927,1127],"clock_positions":[127,327,527,727,927,1127],"native_values":[93,418,193,493,418,593],"rotation_degrees":38.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":127,"clock_position":127,"value":93},{"alpha_index":327,"clock_position":327,"value":418},{"alpha_index":527,"clock_position":527,"value":193},{"alpha_index":727,"clock_position":727,"value":493},{"alpha_index":927,"clock_position":927,"value":418},{"alpha_index":1127,"clock_position":1127,"value":593}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-128","alpha_indices":[128,328,528,728,928,1128],"clock_positions":[128,328,528,728,928,1128],"native_values":[261,11,736,661,411,736],"rotation_degrees":38.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":128,"clock_position":128,"value":261},{"alpha_index":328,"clock_position":328,"value":11},{"alpha_index":528,"clock_position":528,"value":736},{"alpha_index":728,"clock_position":728,"value":661},{"alpha_index":928,"clock_position":928,"value":411},{"alpha_index":1128,"clock_position":1128,"value":736}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-129","alpha_indices":[129,329,529,729,929,1129],"clock_positions":[129,329,529,729,929,1129],"native_values":[354,429,129,354,29,529],"rotation_degrees":38.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":129,"clock_position":129,"value":354},{"alpha_index":329,"clock_position":329,"value":429},{"alpha_index":529,"clock_position":529,"value":129},{"alpha_index":729,"clock_position":729,"value":354},{"alpha_index":929,"clock_position":929,"value":29},{"alpha_index":1129,"clock_position":1129,"value":529}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-130","alpha_indices":[130,330,530,730,930,1130],"clock_positions":[130,330,530,730,930,1130],"native_values":[615,440,65,215,440,465],"rotation_degrees":39.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":130,"clock_position":130,"value":615},{"alpha_index":330,"clock_position":330,"value":440},{"alpha_index":530,"clock_position":530,"value":65},{"alpha_index":730,"clock_position":730,"value":215},{"alpha_index":930,"clock_position":930,"value":440},{"alpha_index":1130,"clock_position":1130,"value":465}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-131","alpha_indices":[131,331,531,731,931,1131],"clock_positions":[131,331,531,731,931,1131],"native_values":[169,69,194,569,469,194],"rotation_degrees":39.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":131,"clock_position":131,"value":169},{"alpha_index":331,"clock_position":331,"value":69},{"alpha_index":531,"clock_position":531,"value":194},{"alpha_index":731,"clock_position":731,"value":569},{"alpha_index":931,"clock_position":931,"value":469},{"alpha_index":1131,"clock_position":1131,"value":194}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-132","alpha_indices":[132,332,532,732,932,1132],"clock_positions":[132,332,532,732,932,1132],"native_values":[784,509,259,784,109,659],"rotation_degrees":39.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":132,"clock_position":132,"value":784},{"alpha_index":332,"clock_position":332,"value":509},{"alpha_index":532,"clock_position":532,"value":259},{"alpha_index":732,"clock_position":732,"value":784},{"alpha_index":932,"clock_position":932,"value":109},{"alpha_index":1132,"clock_position":1132,"value":659}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-133","alpha_indices":[133,333,533,733,933,1133],"clock_positions":[133,333,533,733,933,1133],"native_values":[153,578,453,553,578,53],"rotation_degrees":39.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":133,"clock_position":133,"value":153},{"alpha_index":333,"clock_position":333,"value":578},{"alpha_index":533,"clock_position":533,"value":453},{"alpha_index":733,"clock_position":733,"value":553},{"alpha_index":933,"clock_position":933,"value":578},{"alpha_index":1133,"clock_position":1133,"value":53}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-134","alpha_indices":[134,334,534,734,934,1134],"clock_positions":[134,334,534,734,934,1134],"native_values":[137,287,712,537,687,712],"rotation_degrees":40.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":134,"clock_position":134,"value":137},{"alpha_index":334,"clock_position":334,"value":287},{"alpha_index":534,"clock_position":534,"value":712},{"alpha_index":734,"clock_position":734,"value":537},{"alpha_index":934,"clock_position":934,"value":687},{"alpha_index":1134,"clock_position":1134,"value":712}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-135","alpha_indices":[135,335,535,735,935,1135],"clock_positions":[135,335,535,735,935,1135],"native_values":[290,65,365,290,465,765],"rotation_degrees":40.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":135,"clock_position":135,"value":290},{"alpha_index":335,"clock_position":335,"value":65},{"alpha_index":535,"clock_position":535,"value":365},{"alpha_index":735,"clock_position":735,"value":290},{"alpha_index":935,"clock_position":935,"value":465},{"alpha_index":1135,"clock_position":1135,"value":765}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-136","alpha_indices":[136,336,536,736,936,1136],"clock_positions":[136,336,536,736,936,1136],"native_values":[427,352,277,27,352,677],"rotation_degrees":40.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":136,"clock_position":136,"value":427},{"alpha_index":336,"clock_position":336,"value":352},{"alpha_index":536,"clock_position":536,"value":277},{"alpha_index":736,"clock_position":736,"value":27},{"alpha_index":936,"clock_position":936,"value":352},{"alpha_index":1136,"clock_position":1136,"value":677}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-137","alpha_indices":[137,337,537,737,937,1137],"clock_positions":[137,337,537,737,937,1137],"native_values":[717,417,642,317,17,642],"rotation_degrees":41.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":137,"clock_position":137,"value":717},{"alpha_index":337,"clock_position":337,"value":417},{"alpha_index":537,"clock_position":537,"value":642},{"alpha_index":737,"clock_position":737,"value":317},{"alpha_index":937,"clock_position":937,"value":17},{"alpha_index":1137,"clock_position":1137,"value":642}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-138","alpha_indices":[138,338,538,738,938,1138],"clock_positions":[138,338,538,738,938,1138],"native_values":[344,769,119,344,369,519],"rotation_degrees":41.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":138,"clock_position":138,"value":344},{"alpha_index":338,"clock_position":338,"value":769},{"alpha_index":538,"clock_position":538,"value":119},{"alpha_index":738,"clock_position":738,"value":344},{"alpha_index":938,"clock_position":938,"value":369},{"alpha_index":1138,"clock_position":1138,"value":519}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-139","alpha_indices":[139,339,539,739,939,1139],"clock_positions":[139,339,539,739,939,1139],"native_values":[261,386,761,661,386,361],"rotation_degrees":41.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":139,"clock_position":139,"value":261},{"alpha_index":339,"clock_position":339,"value":386},{"alpha_index":539,"clock_position":539,"value":761},{"alpha_index":739,"clock_position":739,"value":661},{"alpha_index":939,"clock_position":939,"value":386},{"alpha_index":1139,"clock_position":1139,"value":361}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-140","alpha_indices":[140,340,540,740,940,1140],"clock_positions":[140,340,540,740,940,1140],"native_values":[605,355,80,205,755,80],"rotation_degrees":42.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":140,"clock_position":140,"value":605},{"alpha_index":340,"clock_position":340,"value":355},{"alpha_index":540,"clock_position":540,"value":80},{"alpha_index":740,"clock_position":740,"value":205},{"alpha_index":940,"clock_position":940,"value":755},{"alpha_index":1140,"clock_position":1140,"value":80}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-141","alpha_indices":[141,341,541,741,941,1141],"clock_positions":[141,341,541,741,941,1141],"native_values":[66,741,41,66,341,441],"rotation_degrees":42.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":141,"clock_position":141,"value":66},{"alpha_index":341,"clock_position":341,"value":741},{"alpha_index":541,"clock_position":541,"value":41},{"alpha_index":741,"clock_position":741,"value":66},{"alpha_index":941,"clock_position":941,"value":341},{"alpha_index":1141,"clock_position":1141,"value":441}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-142","alpha_indices":[142,342,542,742,942,1142],"clock_positions":[142,342,542,742,942,1142],"native_values":[671,296,121,271,296,521],"rotation_degrees":42.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":142,"clock_position":142,"value":671},{"alpha_index":342,"clock_position":342,"value":296},{"alpha_index":542,"clock_position":542,"value":121},{"alpha_index":742,"clock_position":742,"value":271},{"alpha_index":942,"clock_position":942,"value":296},{"alpha_index":1142,"clock_position":1142,"value":521}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-143","alpha_indices":[143,343,543,743,943,1143],"clock_positions":[143,343,543,743,943,1143],"native_values":[737,237,162,337,637,162],"rotation_degrees":42.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":143,"clock_position":143,"value":737},{"alpha_index":343,"clock_position":343,"value":237},{"alpha_index":543,"clock_position":543,"value":162},{"alpha_index":743,"clock_position":743,"value":337},{"alpha_index":943,"clock_position":943,"value":637},{"alpha_index":1143,"clock_position":1143,"value":162}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-144","alpha_indices":[144,344,544,744,944,1144],"clock_positions":[144,344,544,744,944,1144],"native_values":[608,533,283,608,133,683],"rotation_degrees":43.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":144,"clock_position":144,"value":608},{"alpha_index":344,"clock_position":344,"value":533},{"alpha_index":544,"clock_position":544,"value":283},{"alpha_index":744,"clock_position":744,"value":608},{"alpha_index":944,"clock_position":944,"value":133},{"alpha_index":1144,"clock_position":1144,"value":683}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-145","alpha_indices":[145,345,545,745,945,1145],"clock_positions":[145,345,545,745,945,1145],"native_values":[545,770,445,145,770,45],"rotation_degrees":43.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":145,"clock_position":145,"value":545},{"alpha_index":345,"clock_position":345,"value":770},{"alpha_index":545,"clock_position":545,"value":445},{"alpha_index":745,"clock_position":745,"value":145},{"alpha_index":945,"clock_position":945,"value":770},{"alpha_index":1145,"clock_position":1145,"value":45}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-146","alpha_indices":[146,346,546,746,946,1146],"clock_positions":[146,346,546,746,946,1146],"native_values":[353,503,728,753,103,728],"rotation_degrees":43.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":146,"clock_position":146,"value":353},{"alpha_index":346,"clock_position":346,"value":503},{"alpha_index":546,"clock_position":546,"value":728},{"alpha_index":746,"clock_position":746,"value":753},{"alpha_index":946,"clock_position":946,"value":103},{"alpha_index":1146,"clock_position":1146,"value":728}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-147","alpha_indices":[147,347,547,747,947,1147],"clock_positions":[147,347,547,747,947,1147],"native_values":[98,473,373,98,73,773],"rotation_degrees":44.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":147,"clock_position":147,"value":98},{"alpha_index":347,"clock_position":347,"value":473},{"alpha_index":547,"clock_position":547,"value":373},{"alpha_index":747,"clock_position":747,"value":98},{"alpha_index":947,"clock_position":947,"value":73},{"alpha_index":1147,"clock_position":1147,"value":773}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-148","alpha_indices":[148,348,548,748,948,1148],"clock_positions":[148,348,548,748,948,1148],"native_values":[451,176,301,51,176,701],"rotation_degrees":44.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":148,"clock_position":148,"value":451},{"alpha_index":348,"clock_position":348,"value":176},{"alpha_index":548,"clock_position":548,"value":301},{"alpha_index":748,"clock_position":748,"value":51},{"alpha_index":948,"clock_position":948,"value":176},{"alpha_index":1148,"clock_position":1148,"value":701}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-149","alpha_indices":[149,349,549,749,949,1149],"clock_positions":[149,349,549,749,949,1149],"native_values":[549,649,674,149,249,674],"rotation_degrees":44.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":149,"clock_position":149,"value":549},{"alpha_index":349,"clock_position":349,"value":649},{"alpha_index":549,"clock_position":549,"value":674},{"alpha_index":749,"clock_position":749,"value":149},{"alpha_index":949,"clock_position":949,"value":249},{"alpha_index":1149,"clock_position":1149,"value":674}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-150","alpha_indices":[150,350,550,750,950,1150],"clock_positions":[150,350,550,750,950,1150],"native_values":[200,25,175,200,425,575],"rotation_degrees":45.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":150,"clock_position":150,"value":200},{"alpha_index":350,"clock_position":350,"value":25},{"alpha_index":550,"clock_position":550,"value":175},{"alpha_index":750,"clock_position":750,"value":200},{"alpha_index":950,"clock_position":950,"value":425},{"alpha_index":1150,"clock_position":1150,"value":575}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-151","alpha_indices":[151,351,551,751,951,1151],"clock_positions":[151,351,551,751,951,1151],"native_values":[749,674,49,349,674,449],"rotation_degrees":45.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":151,"clock_position":151,"value":749},{"alpha_index":351,"clock_position":351,"value":674},{"alpha_index":551,"clock_position":551,"value":49},{"alpha_index":751,"clock_position":751,"value":349},{"alpha_index":951,"clock_position":951,"value":674},{"alpha_index":1151,"clock_position":1151,"value":449}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-152","alpha_indices":[152,352,552,752,952,1152],"clock_positions":[152,352,552,752,952,1152],"native_values":[149,699,224,549,299,224],"rotation_degrees":45.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":152,"clock_position":152,"value":149},{"alpha_index":352,"clock_position":352,"value":699},{"alpha_index":552,"clock_position":552,"value":224},{"alpha_index":752,"clock_position":752,"value":549},{"alpha_index":952,"clock_position":952,"value":299},{"alpha_index":1152,"clock_position":1152,"value":224}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-153","alpha_indices":[153,353,553,753,953,1153],"clock_positions":[153,353,553,753,953,1153],"native_values":[98,573,273,98,173,673],"rotation_degrees":45.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":153,"clock_position":153,"value":98},{"alpha_index":353,"clock_position":353,"value":573},{"alpha_index":553,"clock_position":553,"value":273},{"alpha_index":753,"clock_position":753,"value":98},{"alpha_index":953,"clock_position":953,"value":173},{"alpha_index":1153,"clock_position":1153,"value":673}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-154","alpha_indices":[154,354,554,754,954,1154],"clock_positions":[154,354,554,754,954,1154],"native_values":[247,472,497,647,472,97],"rotation_degrees":46.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":154,"clock_position":154,"value":247},{"alpha_index":354,"clock_position":354,"value":472},{"alpha_index":554,"clock_position":554,"value":497},{"alpha_index":754,"clock_position":754,"value":647},{"alpha_index":954,"clock_position":954,"value":472},{"alpha_index":1154,"clock_position":1154,"value":97}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-155","alpha_indices":[155,355,555,755,955,1155],"clock_positions":[155,355,555,755,955,1155],"native_values":[345,245,770,745,645,770],"rotation_degrees":46.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":155,"clock_position":155,"value":345},{"alpha_index":355,"clock_position":355,"value":245},{"alpha_index":555,"clock_position":555,"value":770},{"alpha_index":755,"clock_position":755,"value":745},{"alpha_index":955,"clock_position":955,"value":645},{"alpha_index":1155,"clock_position":1155,"value":770}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-156","alpha_indices":[156,356,556,756,956,1156],"clock_positions":[156,356,556,756,956,1156],"native_values":[592,717,467,592,317,67],"rotation_degrees":46.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":156,"clock_position":156,"value":592},{"alpha_index":356,"clock_position":356,"value":717},{"alpha_index":556,"clock_position":556,"value":467},{"alpha_index":756,"clock_position":756,"value":592},{"alpha_index":956,"clock_position":956,"value":317},{"alpha_index":1156,"clock_position":1156,"value":67}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-157","alpha_indices":[157,357,557,757,957,1157],"clock_positions":[157,357,557,757,957,1157],"native_values":[137,162,437,537,162,37],"rotation_degrees":47.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":157,"clock_position":157,"value":137},{"alpha_index":357,"clock_position":357,"value":162},{"alpha_index":557,"clock_position":557,"value":437},{"alpha_index":757,"clock_position":757,"value":537},{"alpha_index":957,"clock_position":957,"value":162},{"alpha_index":1157,"clock_position":1157,"value":37}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-158","alpha_indices":[158,358,558,758,958,1158],"clock_positions":[158,358,558,758,958,1158],"native_values":[729,79,104,329,479,104],"rotation_degrees":47.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":158,"clock_position":158,"value":729},{"alpha_index":358,"clock_position":358,"value":79},{"alpha_index":558,"clock_position":558,"value":104},{"alpha_index":758,"clock_position":758,"value":329},{"alpha_index":958,"clock_position":958,"value":479},{"alpha_index":1158,"clock_position":1158,"value":104}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-159","alpha_indices":[159,359,559,759,959,1159],"clock_positions":[159,359,559,759,959,1159],"native_values":[66,241,541,66,641,141],"rotation_degrees":47.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":159,"clock_position":159,"value":66},{"alpha_index":359,"clock_position":359,"value":241},{"alpha_index":559,"clock_position":559,"value":541},{"alpha_index":759,"clock_position":759,"value":66},{"alpha_index":959,"clock_position":959,"value":641},{"alpha_index":1159,"clock_position":1159,"value":141}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-160","alpha_indices":[160,360,560,760,960,1160],"clock_positions":[160,360,560,760,960,1160],"native_values":[795,320,645,395,320,245],"rotation_degrees":48.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":160,"clock_position":160,"value":795},{"alpha_index":360,"clock_position":360,"value":320},{"alpha_index":560,"clock_position":560,"value":645},{"alpha_index":760,"clock_position":760,"value":395},{"alpha_index":960,"clock_position":960,"value":320},{"alpha_index":1160,"clock_position":1160,"value":245}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-161","alpha_indices":[161,361,561,761,961,1161],"clock_positions":[161,361,561,761,961,1161],"native_values":[61,561,386,461,161,386],"rotation_degrees":48.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":161,"clock_position":161,"value":61},{"alpha_index":361,"clock_position":361,"value":561},{"alpha_index":561,"clock_position":561,"value":386},{"alpha_index":761,"clock_position":761,"value":461},{"alpha_index":961,"clock_position":961,"value":161},{"alpha_index":1161,"clock_position":1161,"value":386}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-162","alpha_indices":[162,362,562,762,962,1162],"clock_positions":[162,362,562,762,962,1162],"native_values":[56,81,231,56,481,631],"rotation_degrees":48.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":162,"clock_position":162,"value":56},{"alpha_index":362,"clock_position":362,"value":81},{"alpha_index":562,"clock_position":562,"value":231},{"alpha_index":762,"clock_position":762,"value":56},{"alpha_index":962,"clock_position":962,"value":481},{"alpha_index":1162,"clock_position":1162,"value":631}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-163","alpha_indices":[163,363,563,763,963,1163],"clock_positions":[163,363,563,763,963,1163],"native_values":[117,642,617,517,642,217],"rotation_degrees":48.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":163,"clock_position":163,"value":117},{"alpha_index":363,"clock_position":363,"value":642},{"alpha_index":563,"clock_position":563,"value":617},{"alpha_index":763,"clock_position":763,"value":517},{"alpha_index":963,"clock_position":963,"value":642},{"alpha_index":1163,"clock_position":1163,"value":217}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-164","alpha_indices":[164,364,564,764,964,1164],"clock_positions":[164,364,564,764,964,1164],"native_values":[173,723,48,573,323,48],"rotation_degrees":49.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":164,"clock_position":164,"value":173},{"alpha_index":364,"clock_position":364,"value":723},{"alpha_index":564,"clock_position":564,"value":48},{"alpha_index":764,"clock_position":764,"value":573},{"alpha_index":964,"clock_position":964,"value":323},{"alpha_index":1164,"clock_position":1164,"value":48}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-165","alpha_indices":[165,365,565,765,965,1165],"clock_positions":[165,365,565,765,965,1165],"native_values":[290,565,665,290,165,265],"rotation_degrees":49.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":165,"clock_position":165,"value":290},{"alpha_index":365,"clock_position":365,"value":565},{"alpha_index":565,"clock_position":565,"value":665},{"alpha_index":765,"clock_position":765,"value":290},{"alpha_index":965,"clock_position":965,"value":165},{"alpha_index":1165,"clock_position":1165,"value":265}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-166","alpha_indices":[166,366,566,766,966,1166],"clock_positions":[166,366,566,766,966,1166],"native_values":[463,488,713,63,488,313],"rotation_degrees":49.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":166,"clock_position":166,"value":463},{"alpha_index":366,"clock_position":366,"value":488},{"alpha_index":566,"clock_position":566,"value":713},{"alpha_index":766,"clock_position":766,"value":63},{"alpha_index":966,"clock_position":966,"value":488},{"alpha_index":1166,"clock_position":1166,"value":313}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-167","alpha_indices":[167,367,567,767,967,1167],"clock_positions":[167,367,567,767,967,1167],"native_values":[753,253,578,353,653,578],"rotation_degrees":50.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":167,"clock_position":167,"value":753},{"alpha_index":367,"clock_position":367,"value":253},{"alpha_index":567,"clock_position":567,"value":578},{"alpha_index":767,"clock_position":767,"value":353},{"alpha_index":967,"clock_position":967,"value":653},{"alpha_index":1167,"clock_position":1167,"value":578}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-168","alpha_indices":[168,368,568,768,968,1168],"clock_positions":[168,368,568,768,968,1168],"native_values":[416,741,491,416,341,91],"rotation_degrees":50.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":168,"clock_position":168,"value":416},{"alpha_index":368,"clock_position":368,"value":741},{"alpha_index":568,"clock_position":568,"value":491},{"alpha_index":768,"clock_position":768,"value":416},{"alpha_index":968,"clock_position":968,"value":341},{"alpha_index":1168,"clock_position":1168,"value":91}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-169","alpha_indices":[169,369,569,769,969,1169],"clock_positions":[169,369,569,769,969,1169],"native_values":[369,194,269,769,194,669],"rotation_degrees":50.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":169,"clock_position":169,"value":369},{"alpha_index":369,"clock_position":369,"value":194},{"alpha_index":569,"clock_position":569,"value":269},{"alpha_index":769,"clock_position":769,"value":769},{"alpha_index":969,"clock_position":969,"value":194},{"alpha_index":1169,"clock_position":1169,"value":669}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-170","alpha_indices":[170,370,570,770,970,1170],"clock_positions":[170,370,570,770,970,1170],"native_values":[785,135,760,385,535,760],"rotation_degrees":51.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":170,"clock_position":170,"value":785},{"alpha_index":370,"clock_position":370,"value":135},{"alpha_index":570,"clock_position":570,"value":760},{"alpha_index":770,"clock_position":770,"value":385},{"alpha_index":970,"clock_position":970,"value":535},{"alpha_index":1170,"clock_position":1170,"value":760}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-171","alpha_indices":[171,371,571,771,971,1171],"clock_positions":[171,371,571,771,971,1171],"native_values":[354,329,229,354,729,629],"rotation_degrees":51.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":171,"clock_position":171,"value":354},{"alpha_index":371,"clock_position":371,"value":329},{"alpha_index":571,"clock_position":571,"value":229},{"alpha_index":771,"clock_position":771,"value":354},{"alpha_index":971,"clock_position":971,"value":729},{"alpha_index":1171,"clock_position":1171,"value":629}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-172","alpha_indices":[172,372,572,772,972,1172],"clock_positions":[172,372,572,772,972,1172],"native_values":[339,464,189,739,464,589],"rotation_degrees":51.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":172,"clock_position":172,"value":339},{"alpha_index":372,"clock_position":372,"value":464},{"alpha_index":572,"clock_position":572,"value":189},{"alpha_index":772,"clock_position":772,"value":739},{"alpha_index":972,"clock_position":972,"value":464},{"alpha_index":1172,"clock_position":1172,"value":589}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-173","alpha_indices":[173,373,573,773,973,1173],"clock_positions":[173,373,573,773,973,1173],"native_values":[693,793,418,293,393,418],"rotation_degrees":51.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":173,"clock_position":173,"value":693},{"alpha_index":373,"clock_position":373,"value":793},{"alpha_index":573,"clock_position":573,"value":418},{"alpha_index":773,"clock_position":773,"value":293},{"alpha_index":973,"clock_position":973,"value":393},{"alpha_index":1173,"clock_position":1173,"value":418}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-174","alpha_indices":[174,374,574,774,974,1174],"clock_positions":[174,374,574,774,974,1174],"native_values":[232,457,607,232,57,207],"rotation_degrees":52.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":174,"clock_position":174,"value":232},{"alpha_index":374,"clock_position":374,"value":457},{"alpha_index":574,"clock_position":574,"value":607},{"alpha_index":774,"clock_position":774,"value":232},{"alpha_index":974,"clock_position":974,"value":57},{"alpha_index":1174,"clock_position":1174,"value":207}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-175","alpha_indices":[175,375,575,775,975,1175],"clock_positions":[175,375,575,775,975,1175],"native_values":[125,450,225,525,450,625],"rotation_degrees":52.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":175,"clock_position":175,"value":125},{"alpha_index":375,"clock_position":375,"value":450},{"alpha_index":575,"clock_position":575,"value":225},{"alpha_index":775,"clock_position":775,"value":525},{"alpha_index":975,"clock_position":975,"value":450},{"alpha_index":1175,"clock_position":1175,"value":625}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-176","alpha_indices":[176,376,576,776,976,1176],"clock_positions":[176,376,576,776,976,1176],"native_values":[357,107,32,757,507,32],"rotation_degrees":52.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":176,"clock_position":176,"value":357},{"alpha_index":376,"clock_position":376,"value":107},{"alpha_index":576,"clock_position":576,"value":32},{"alpha_index":776,"clock_position":776,"value":757},{"alpha_index":976,"clock_position":976,"value":507},{"alpha_index":1176,"clock_position":1176,"value":32}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-177","alpha_indices":[177,377,577,777,977,1177],"clock_positions":[177,377,577,777,977,1177],"native_values":[482,557,257,482,157,657],"rotation_degrees":53.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":177,"clock_position":177,"value":482},{"alpha_index":377,"clock_position":377,"value":557},{"alpha_index":577,"clock_position":577,"value":257},{"alpha_index":777,"clock_position":777,"value":482},{"alpha_index":977,"clock_position":977,"value":157},{"alpha_index":1177,"clock_position":1177,"value":657}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-178","alpha_indices":[178,378,578,778,978,1178],"clock_positions":[178,378,578,778,978,1178],"native_values":[39,664,289,439,664,689],"rotation_degrees":53.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":178,"clock_position":178,"value":39},{"alpha_index":378,"clock_position":378,"value":664},{"alpha_index":578,"clock_position":578,"value":289},{"alpha_index":778,"clock_position":778,"value":439},{"alpha_index":978,"clock_position":978,"value":664},{"alpha_index":1178,"clock_position":1178,"value":689}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-179","alpha_indices":[179,379,579,779,979,1179],"clock_positions":[179,379,579,779,979,1179],"native_values":[521,421,546,121,21,546],"rotation_degrees":53.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":179,"clock_position":179,"value":521},{"alpha_index":379,"clock_position":379,"value":421},{"alpha_index":579,"clock_position":579,"value":546},{"alpha_index":779,"clock_position":779,"value":121},{"alpha_index":979,"clock_position":979,"value":21},{"alpha_index":1179,"clock_position":1179,"value":546}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-180","alpha_indices":[180,380,580,780,980,1180],"clock_positions":[180,380,580,780,980,1180],"native_values":[560,285,35,560,685,435],"rotation_degrees":54.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":180,"clock_position":180,"value":560},{"alpha_index":380,"clock_position":380,"value":285},{"alpha_index":580,"clock_position":580,"value":35},{"alpha_index":780,"clock_position":780,"value":560},{"alpha_index":980,"clock_position":980,"value":685},{"alpha_index":1180,"clock_position":1180,"value":435}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-181","alpha_indices":[181,381,581,781,981,1181],"clock_positions":[181,381,581,781,981,1181],"native_values":[281,706,581,681,706,181],"rotation_degrees":54.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":181,"clock_position":181,"value":281},{"alpha_index":381,"clock_position":381,"value":706},{"alpha_index":581,"clock_position":581,"value":581},{"alpha_index":781,"clock_position":781,"value":681},{"alpha_index":981,"clock_position":981,"value":706},{"alpha_index":1181,"clock_position":1181,"value":181}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-182","alpha_indices":[182,382,582,782,982,1182],"clock_positions":[182,382,582,782,982,1182],"native_values":[41,191,616,441,591,616],"rotation_degrees":54.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":182,"clock_position":182,"value":41},{"alpha_index":382,"clock_position":382,"value":191},{"alpha_index":582,"clock_position":582,"value":616},{"alpha_index":782,"clock_position":782,"value":441},{"alpha_index":982,"clock_position":982,"value":591},{"alpha_index":1182,"clock_position":1182,"value":616}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-183","alpha_indices":[183,383,583,783,983,1183],"clock_positions":[183,383,583,783,983,1183],"native_values":[322,97,397,322,497,797],"rotation_degrees":54.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":183,"clock_position":183,"value":322},{"alpha_index":383,"clock_position":383,"value":97},{"alpha_index":583,"clock_position":583,"value":397},{"alpha_index":783,"clock_position":783,"value":322},{"alpha_index":983,"clock_position":983,"value":497},{"alpha_index":1183,"clock_position":1183,"value":797}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-184","alpha_indices":[184,384,584,784,984,1184],"clock_positions":[184,384,584,784,984,1184],"native_values":[363,288,213,763,288,613],"rotation_degrees":55.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":184,"clock_position":184,"value":363},{"alpha_index":384,"clock_position":384,"value":288},{"alpha_index":584,"clock_position":584,"value":213},{"alpha_index":784,"clock_position":784,"value":763},{"alpha_index":984,"clock_position":984,"value":288},{"alpha_index":1184,"clock_position":1184,"value":613}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-185","alpha_indices":[185,385,585,785,985,1185],"clock_positions":[185,385,585,785,985,1185],"native_values":[685,385,610,285,785,610],"rotation_degrees":55.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":185,"clock_position":185,"value":685},{"alpha_index":385,"clock_position":385,"value":385},{"alpha_index":585,"clock_position":585,"value":610},{"alpha_index":785,"clock_position":785,"value":285},{"alpha_index":985,"clock_position":985,"value":785},{"alpha_index":1185,"clock_position":1185,"value":610}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-186","alpha_indices":[186,386,586,786,986,1186],"clock_positions":[186,386,586,786,986,1186],"native_values":[248,673,23,248,273,423],"rotation_degrees":55.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":186,"clock_position":186,"value":248},{"alpha_index":386,"clock_position":386,"value":673},{"alpha_index":586,"clock_position":586,"value":23},{"alpha_index":786,"clock_position":786,"value":248},{"alpha_index":986,"clock_position":986,"value":273},{"alpha_index":1186,"clock_position":1186,"value":423}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-187","alpha_indices":[187,387,587,787,987,1187],"clock_positions":[187,387,587,787,987,1187],"native_values":[133,258,633,533,258,233],"rotation_degrees":56.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":187,"clock_position":187,"value":133},{"alpha_index":387,"clock_position":387,"value":258},{"alpha_index":587,"clock_position":587,"value":633},{"alpha_index":787,"clock_position":787,"value":533},{"alpha_index":987,"clock_position":987,"value":258},{"alpha_index":1187,"clock_position":1187,"value":233}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-188","alpha_indices":[188,388,588,788,988,1188],"clock_positions":[188,388,588,788,988,1188],"native_values":[381,131,656,781,531,656],"rotation_degrees":56.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":188,"clock_position":188,"value":381},{"alpha_index":388,"clock_position":388,"value":131},{"alpha_index":588,"clock_position":588,"value":656},{"alpha_index":788,"clock_position":788,"value":781},{"alpha_index":988,"clock_position":988,"value":531},{"alpha_index":1188,"clock_position":1188,"value":656}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-189","alpha_indices":[189,389,589,789,989,1189],"clock_positions":[189,389,589,789,989,1189],"native_values":[514,389,489,514,789,89],"rotation_degrees":56.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":189,"clock_position":189,"value":514},{"alpha_index":389,"clock_position":389,"value":389},{"alpha_index":589,"clock_position":589,"value":489},{"alpha_index":789,"clock_position":789,"value":514},{"alpha_index":989,"clock_position":989,"value":789},{"alpha_index":1189,"clock_position":1189,"value":89}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-190","alpha_indices":[190,390,590,790,990,1190],"clock_positions":[190,390,590,790,990,1190],"native_values":[95,520,345,495,520,745],"rotation_degrees":57.0,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":190,"clock_position":190,"value":95},{"alpha_index":390,"clock_position":390,"value":520},{"alpha_index":590,"clock_position":590,"value":345},{"alpha_index":790,"clock_position":790,"value":495},{"alpha_index":990,"clock_position":990,"value":520},{"alpha_index":1190,"clock_position":1190,"value":745}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-191","alpha_indices":[191,391,591,791,991,1191],"clock_positions":[191,391,591,791,991,1191],"native_values":[609,109,34,209,509,34],"rotation_degrees":57.3,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":191,"clock_position":191,"value":609},{"alpha_index":391,"clock_position":391,"value":109},{"alpha_index":591,"clock_position":591,"value":34},{"alpha_index":791,"clock_position":791,"value":209},{"alpha_index":991,"clock_position":991,"value":509},{"alpha_index":1191,"clock_position":1191,"value":34}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-192","alpha_indices":[192,392,592,792,992,1192],"clock_positions":[192,392,592,792,992,1192],"native_values":[704,629,379,704,229,779],"rotation_degrees":57.6,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":192,"clock_position":192,"value":704},{"alpha_index":392,"clock_position":392,"value":629},{"alpha_index":592,"clock_position":592,"value":379},{"alpha_index":792,"clock_position":792,"value":704},{"alpha_index":992,"clock_position":992,"value":229},{"alpha_index":1192,"clock_position":1192,"value":779}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-193","alpha_indices":[193,393,593,793,993,1193],"clock_positions":[193,393,593,793,993,1193],"native_values":[513,738,413,113,738,13],"rotation_degrees":57.9,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":193,"clock_position":193,"value":513},{"alpha_index":393,"clock_position":393,"value":738},{"alpha_index":593,"clock_position":593,"value":413},{"alpha_index":793,"clock_position":793,"value":113},{"alpha_index":993,"clock_position":993,"value":738},{"alpha_index":1193,"clock_position":1193,"value":13}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-194","alpha_indices":[194,394,594,794,994,1194],"clock_positions":[194,394,594,794,994,1194],"native_values":[417,567,792,17,167,792],"rotation_degrees":58.2,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":194,"clock_position":194,"value":417},{"alpha_index":394,"clock_position":394,"value":567},{"alpha_index":594,"clock_position":594,"value":792},{"alpha_index":794,"clock_position":794,"value":17},{"alpha_index":994,"clock_position":994,"value":167},{"alpha_index":1194,"clock_position":1194,"value":792}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-195","alpha_indices":[195,395,595,795,995,1195],"clock_positions":[195,395,595,795,995,1195],"native_values":[130,505,405,130,105,5],"rotation_degrees":58.5,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":195,"clock_position":195,"value":130},{"alpha_index":395,"clock_position":395,"value":505},{"alpha_index":595,"clock_position":595,"value":405},{"alpha_index":795,"clock_position":795,"value":130},{"alpha_index":995,"clock_position":995,"value":105},{"alpha_index":1195,"clock_position":1195,"value":5}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-196","alpha_indices":[196,396,596,796,996,1196],"clock_positions":[196,396,596,796,996,1196],"native_values":[547,272,397,147,272,797],"rotation_degrees":58.8,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":196,"clock_position":196,"value":547},{"alpha_index":396,"clock_position":396,"value":272},{"alpha_index":596,"clock_position":596,"value":397},{"alpha_index":796,"clock_position":796,"value":147},{"alpha_index":996,"clock_position":996,"value":272},{"alpha_index":1196,"clock_position":1196,"value":797}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-197","alpha_indices":[197,397,597,797,997,1197],"clock_positions":[197,397,597,797,997,1197],"native_values":[677,777,2,277,377,2],"rotation_degrees":59.1,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":197,"clock_position":197,"value":677},{"alpha_index":397,"clock_position":397,"value":777},{"alpha_index":597,"clock_position":597,"value":2},{"alpha_index":797,"clock_position":797,"value":277},{"alpha_index":997,"clock_position":997,"value":377},{"alpha_index":1197,"clock_position":1197,"value":2}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-198","alpha_indices":[198,398,598,798,998,1198],"clock_positions":[198,398,598,798,998,1198],"native_values":[424,249,399,424,649,799],"rotation_degrees":59.4,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":198,"clock_position":198,"value":424},{"alpha_index":398,"clock_position":398,"value":249},{"alpha_index":598,"clock_position":598,"value":399},{"alpha_index":798,"clock_position":798,"value":424},{"alpha_index":998,"clock_position":998,"value":649},{"alpha_index":1198,"clock_position":1198,"value":799}],"native_369_qualifies":false},{"formation_id":"6-nodes-offset-199","alpha_indices":[199,399,599,799,999,1199],"clock_positions":[199,399,599,799,999,1199],"native_values":[301,226,401,701,226,1],"rotation_degrees":59.7,"missing_required_values":[3,6,9],"failing_nodes":[{"alpha_index":199,"clock_position":199,"value":301},{"alpha_index":399,"clock_position":399,"value":226},{"alpha_index":599,"clock_position":599,"value":401},{"alpha_index":799,"clock_position":799,"value":701},{"alpha_index":999,"clock_position":999,"value":226},{"alpha_index":1199,"clock_position":1199,"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/m800/alpha.svg","png":"pilot-v1/views/m800/alpha.png"},{"id":"beta","name":"Beta","svg":"pilot-v1/views/m800/beta.svg","png":"pilot-v1/views/m800/beta.png"},{"id":"gamma","name":"Gamma","svg":"pilot-v1/views/m800/gamma.svg","png":"pilot-v1/views/m800/gamma.png"},{"id":"fibonacci-m800p1200","name":"Fibonacci M800P1200","svg":"pilot-v1/views/m800/fibonacci-m800p1200.svg","png":"pilot-v1/views/m800/fibonacci-m800p1200.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}}