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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346PRIMGRP[851]:=
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( 20,101,426)( 21,106,227)( 23,114,336)( 25,122,187)( 26,127,485)
( 27,132,256)( 28,135,503)( 30,144,241)( 31,149,539)( 32,155,559)
( 33,159,466)( 35, 40,192)( 36,173,603)( 37,178,614)( 38,184,267)
( 41,197,224)( 44,212, 47)( 46,222,347)( 48,231,707)( 49,233,612)
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( 80,248,196)( 81,156,346)( 82,359, 99)( 83, 98,418)( 84,363,457)
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(100,272,655)(103,433,328)(104,403,439)(105,440,281)(107,445,664)
(108,399,422)(109,448,462)(110,452,800)(111,353,486)(112,262,724)
(113,435,594)(116,338,317)(117,234,712)(118,326,549)(119,471,527)
(120,475,813)(121,436,694)(123,451,339)(124,483,627)(125,484,780)
(126,286,513)(128,424,552)(130,494,477)(131,294,444)(133,500,826)
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(140,401,165)(143,279,675)(146,529,771)(147,531,685)(148,534,758)
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(181,617,774)(182,620,532)(185,252,671)(186,415,757)(188,324,232)
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(198,646,332)(200,653,369)(201,420,681)(202,443,472)(205,538,843)
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( 56,833,438,304,585,689,153,123,595,784,885,637,350,444,499)
( 59,523,525,344,600,710,606,765,546, 89,489,561,324,185,180)
( 61,417,808,552,726,149,858,745,141,677,357,476,214,251,182)
( 63,720,644,638,401,255,725,323,771,420,703,116,581,295,433)
( 66,658,821,623,664,829,817,232,453,162,354,414,520,147,646)
( 68,188,412,459,145,186,666,124,656,382,100,142, 71,788,402)
( 74,312,603,181,675,144,331,154,486,120,238,335,311,219,792)
( 76,669,155,521,278,753,715,491,392, 97,493,783,506,314,173)
( 77,333,273,197,597,645,651,190,526,351,593,872,813,749,112)
( 78,653,409,198,156,286,200,111,642,787,777,297, 81,616,166)
( 82,126,140,189,757,869,776,674,522,890,860,175,121,349,446)
( 85,213,576,739,573,130,368,740,810,254,818,822,272,540,549)
( 94,837,330,579,529,183,115,248,501,878,591,178,831,607,723)
( 96,468,252,242,127,532,790,641,516,191,471,609,538,871,139)
( 99,290,580,767,209,503,150,485,500,385,148,210,184,310,397)
(105,698,704,261,558,820,611,613,732,596,648,225,122,287,430)
(117,702,655,761,240,849,474,439,560,128,772,551,836,574,135)
(125,319,247,827,519,663,201,299,393,428,443,495,754,355,619)
(133,867,260,668,257,694,870,774,289,589,334,769,857,825,239)
(134,427,884,512,660,816,811,839,236,562,205,316,601,378,716)
(143,877,728,229,575,570,524,482,195,161,246,309,434,259,220)
(169,764,553,632,292,724,203,705,215,681,684,766,759,318,850)
(256,875,306), ( 1,275,490,103,634,585, 11)( 2,577,397,620,857,555,
828)( 3,511,611,587,659,454,623)( 4,547,225,723,106,786,443)
( 5,769,126,889,549,523,863)( 6,281,696,302,884,249,195)
( 7,819,349,719,242,814,838)( 8,678, 42,524,430,603,340)
( 9, 19,434,213,254,528,110)( 10,196,601,485,724,796,270)
( 12,339,482,494,841,535,180)( 13, 27, 29,367,408,101,391)
( 14,580,158,354,610,738, 44)( 15,602,353,492,674,504,487)
( 16,609,495,885,480,111,865)( 17,616,392,323,536,497,628)
( 18,596,630,445,125,579,813)( 20,624,879, 37,509,768,321)
( 21,559,134,853,551,743,529)( 22,573,400,752,749,690,704)
( 23,255, 67,521,852,640,707)( 24,564,207,365,794,164,343)
( 25,721,667,519,739,118,204)( 26, 35, 34,280,293,401,488)
( 28,590,338, 64,500,415,146)( 30,475,231,615, 71,778,761)
( 31,789,153,112,837,733,358)( 32,152,507,211,539,238, 76)
( 33,276,731,887,655,717,754)( 36,327,812,247,584,459, 94)
( 38,627,842,873,711,422,215)( 39,423,314,312,303,324,287)
( 40,575,470,859, 43,822,538)( 41,380,751,832,329,846,116)
( 45,368,880,567,572,517, 85)( 46,735,531,274,843,156,850)
( 47,878,736,193,607,569,576)( 48,150,283,295,464,648,570)
( 49,512,460,439,692,383,426)( 50,140,647,135,776,505,291)
( 51,410,163,404,675,823,781)( 52,725,685,407,888,230,544)
( 53, 84,589,806,762,123,395)( 54,465,181,252,581,764,533)
( 55,335,375,425,810,420,783)( 56,876, 81,662,261,131,619)
( 57,351,334,113,526,119,513)( 58,359,693, 93,702,664,653)
( 59,636,132,220,790,799,214)( 60,129,373,770,326,265,458)
( 61,483,216,562,518,532,729)( 62,208, 86,883,160,226,568)
( 63,406,868,476,670,713,599)( 65,780,871,399,268,560,542)
( 66,886,839, 73,456,239,393)( 68,317,755,361, 69, 79,782)
( 70,388,272,263,802,554,605)( 72,824,332,773,286,566,290)
( 74,170,861,479,546,315,614)( 75,436,872,417,136,631,656)
( 77,635,463,848,797,378,411)( 78,237,701,130,558,250,741)
( 80,801,808,649,520,663,864)( 82,817,278,750,203,477,854)
( 83,316,471,553,437,217,307)( 87,594,144,467, 98,866,809)
( 88,800,604,756,732,381,522)( 89,182,389,478,502,402,253)
( 90,197,561,360,803,390,881)( 91,178,155,473,248,747,597)
( 92,149,341,245,777,145,645)( 95,347,787,591,715,190,171)
( 96,525,831,192,788,194,154)( 97,114,370,818,753,858,308)
( 99,120,882,481,298,728,582)(100,798,301,618,394,345,221)
(102,677,109,740,224,766,233)(104,212,673,613,807,325,847)
(105,241,337,413,510,811,651)(107,176,342,292,429,574,264)
(108,115,836,438,157,269,188)(117,527,174,267,165,350,175)
(121,396,450,451,703,829,418)(122,185,545,534,784,680,282)
(124,705,444,319,416,748,638)(127,501,827,310,643,161,689)
(128,455,251,441,232,183,514)(133,757,322,240,540,357,139)
(137,688,199,671,409,612,229)(138,722,462,870,258,679,440)
(141,260,474,143,277,491,206)(142,449,639,543,632,508,700)
(147,718,159,699,874,716,765)(148,637,168,625,296,652,433)
(151,816,198,821,219,856,744)(162,372,629,834,516,660,552)
(166,167,891,218,720,499,210)(169,815,285,849,851,697,236)
(172,515,550,537,668,875,695)(173,805,200,650,333,384,691)
(177,541,363,362,331,288,586)(179,606,621,657,421,191,598)
(184,682,374,419,432,600,461)(186,271,448,626,646,793,681)
(187,205,306,694,862,244,385)(189,435,727,608,284,840,311)
(201,452,403,256,772,779,222)(202,665,246,592,469,775,356)
(209,730,484,683,666,642,289)(223,431,698,563,379,371,227)
(228,583,763,398,804,453,366)(234,867,687,472,377,644,346)
(235,595,376,578,279,672,352)(243,726,382,661,654,745,622)
(257,496,318,259,344,313,686)(262,593,826,330,771,503,820)
(266,845,669,708,709,530,336)(273,684,758,825,468,446,457)
(294,320,833,348,309,548,557)(297,386,304,355,641,767,830)
(299,760,742,405,869,588,305)(300,835,714,877,428,792,489)
(328,442,633,785,706,774,486)(364,890,844,369,424,617,414)
(387,712,506,493,791,676,466)(412,658,498,860,734,855,447)
(427,556,759,571,737,746,710) ] ],
[ 2, 18393661440, 0, "2", [ [ 336, 1 ], [ 512, 1 ], [ 42, 1 ] ], 1,
"PSigmaU(6, 2)", [ "2A", [ 5, 2 ], 1 ],
[ ( 1,150,678,793,181,594,452,242,421,327)( 2,566,533, 15,169,725,175,314,
251,217)( 3,546,839, 90,778, 88,396,375,821,701)( 4,311,428,439,
607,271,463,625,391,682)( 5,512)( 6,781,620, 47,182,690,484,442,
716,630)( 7,535,165,479,718,567,100,309,658,523)( 8,307, 49,119,
300,774, 93, 12,198,516)( 9,154,834,853,155,740,240,276,163,515)
( 10,158, 99,335,832,616,325,592,118,686)( 11,585,503,859, 33,800,148,
646, 25,374)( 13,596,887,264,475,431,519,233,550,570)
( 14,333,226,186,412,647,400,699,548,684)( 16,574,316,407,101,128,252,
195, 52,424)( 17,884,490, 60, 48,377,529,392,837,705)
( 18,840,629,640,782,615,848,235,389,358)( 19,504,538,539,655,378, 40,
338,299,341)( 20,149,296,348,417,739,208,189,498,808)
( 21, 39,470,147,401,410,557,229,679,745)( 22,362,883,473,527,669, 94,
297,458,784)( 23,561,608,260,292,649,471, 37,273,455)
( 24,536,386,489,291,403,281,863,171,178)( 26,356,140,107, 61,818,227,
336,245,219)( 27,763,802,257,168,720,370,179,830,677)
( 28,433,162,193,290,243,495,545,230,126)( 29,129,672,269,671,381,323,
32,697,141)( 30,638,457,315,373,871,422,321,239,517)( 31,591,122,505,
526,267,578,108,717,635)( 34,648,510,639,525,476,634,674,347,379)
( 35,263,619,180,241,552,430,289,713,806)( 36,722,642,413,581,420,580,
695,650,191)( 38,272,888,777,111,248,689,737,274,322)
( 41,791,733, 69,319,139,255,661,278,656)( 42,576,114,726,103,750,104,
164,864,588)( 43,406,662,279,320,283, 78,359,657,829)
( 44,878, 80,405,624,102,776,614,384,136)( 45,369,549,352,849,270,221,
408,879,846)( 46,308,584,497,135,694,799,121,206, 82)
( 50,432,810,602,486,564,318,874,418,603)( 51,590,265,351,440,744,131,
55,343,174)( 53,873,468,160,305,663,247,838,427,734)( 54,730,425,880,
850,569, 95,123,714,387)( 56,809,577,582,511,236,826,666,462,443)
( 57,212,344,611,472,796,246,399,736,404)( 58,145,732,365,543,478,553,
87,184,869)( 59,610,259,819,858,554,368,633,560, 75)( 62,143,394,518,
885,544,532,813,636,438)( 63,177, 98,234,142,282,502,393,156,411)
( 64,481,836,851,461,112,522,385,617,626)( 65,222,465,445,172,559,398,
872,758,779)( 66,494, 76,700,812,223,710,757,202,268)
( 67,706,712,530,723,253,170,788,792, 72)( 68,326,238,768,703,572,805,
363,157,601)( 70,448,482, 85,331,891,889,815,583,493)
( 71,280,803,735,109,868, 84,127,194,466)( 73,631,667,293,751,501,342,
340,811,651)( 74,563,456,429,715,670,680,645,190,573)
( 77,520,450,105,599,467,653,691,345,306)( 79,367,762,464,197,683,843,
288,402,218)( 81,317,728,441,284,337,173,225,188,814)
( 83,205,513,754,876,298,249,659,302,875)( 86,618,816,192,540)
( 89,886,729,134,704,789,556,555,507,623)( 91,860,397,294,185,761,612,
541,598,709)( 92,285,597,571,435,766,436,641,534,346)
( 96,237,767,828,354,355,301,817,506, 97)(106,568,551,334,395,451,738,
755,857,600)(110,547,586,587,795,673,841,167,220,414)
(113,390,146,804,275,845,460,637,752,835)(115,232,224,724,794,199,719,
708,483,609)(116,312,770,743,357,772,827,176,565,696)
(117,488,480,453,286,660,692,303,693,771)(120,644,187,449,364,562,496,
437,831,203)(124,228,707,133,492,654,446,434,613,514)(125,769)
(130,153,664,579,749,508,491,820,499,589)(132,250,161,409,798,152,382,
419,698,151)(137,310,748,215,823,349,477,447,454,747)
(138,360,844,216,313,790,731,328,415,366)(144,254,444,842,558)
(159,214,665,854,621,786,824,485,847,882)(166,537,531,870,383,210,426,
727,711,196)(183,890,330,856,676,865,606,350,627,852)
(200,353,244,773,881,801,524,604,685,213)(201,753,632,459,304,652,266,
295,760,783)(204,741,787,209,688,595,756,575,877,339)
(207,687,622,474,855,487,509,675,361,528)(211,329,605,866,759,867,332,
681,324,231)(256,822,277,780,593,721,380,833,643,628)
(258,797,287,372,371,785,861,807,416,388)(261,702,862,825,775)
(262,376,764,668,500,542,765,521,423,746)(469,742),
( 1,376,703,569,706,496,160,743,470,541)( 2,715,183,226, 83,829,694,
767,721,337)( 3,887,267,538,806,570,251,514,659, 41)
( 4,731,241, 34,348,549,462,115,400,834)( 5,504,847,167,624,263,154,
779,700,334)( 6,537,151,450,805,506,564,670,629,640)
( 7,539,277,152,485,663,724,627,310,748)( 8,311, 88, 29,368,134,717,
836,221,658)( 9,367, 89,335,150,392,148,710,543,381)
( 10,882,358,288,328,596,324,872, 87,801)( 11,374,548,797,325,265,854,
859,342,563)( 12,889,599,839,280,875,487,888,165,110)
( 13,845,831,505,810,250, 26,619,353,480)( 14,519,544,124,747,443,601,
856,876,786)( 15, 66,298,317,858, 51,723,407,472,567)
( 16,378,388,578,460,820,774,808,815,679)( 17,788,425, 82,868,329,346,
775,691,671)( 18, 69,507,881,862,626,602,662,799,169)
( 19,771,787,248,126,558,320,232,233,373)( 20, 67, 30,851,644,375,164,
57,437,745)( 21,300,501,696,698,216,429,860,255,870)( 22,321,512,708,
676,398,725,454,189,766)( 23,413,645,173, 96,475,137,613,652,654)
( 24,622, 65,594,204,866,447,585,874,469)( 25,823,215,572,191,254,219,
592,279,719)( 27,489,693,811,465,846,138,616,227,891)
( 28,503,814,536,210)( 31,621,473,207,258,764,853,772,484, 50)
( 32,795,211,491,565,474,638,844,540,260)( 33,660,825,123,414,582,312,
763,633,330)( 35,502,409,688,323,636,752,780,284,756)
( 36,370,396,595,393,422,781,238,158,377)( 37,107,421, 91,401, 48,557,
351,495,431)( 38,641, 99,550,816,442,867,246,509,178)
( 39, 46,603, 49,793,818,497,574,420,449)( 40,289,555,359,765,349,885,
760,102,276)( 42,274,850,463, 94,247,639,243,840,576)
( 43,202,873,490,778,185,149,600,690,341)( 44,352,103,508,486,630,245,
553,104,878)( 45,397)( 47,369,729,287,225,155,416,361,174,796)
( 52,828,668,228,212,333, 81,776, 85,753)( 53,162,794,355,214,382,147,
597,607,837)( 54,452,653,383,623,546,804,144,129,727)
( 55, 95,322,722,822,140,208,249,305,628)( 56,657,206,736,886, 92,128,
826,817,735)( 58,744,239,199,296,209,759,119,428,680)
( 59,863,835,773,168,326,559,432,522,832)( 60,612,510,435,166,467,293,
655,821,746)( 61,584,739,515,604, 86,350,242,705,423)
( 62,666,135,871,855,100,316,575,849,545)( 63,269,648,256,677,488,798,
118,116,869)( 64,235,685,674,404,205,478,581,732,244)
( 68,728,141,842,410,385,153,598, 98, 76)( 70,286,701,547,551,262,534,
511,712,184)( 71, 74,587,733,458,127,492,643,615,556)
( 72,614,583,479,699,588,412,213,824,890)( 73,444,163,757,270,159,273,
114,261,120)( 75,634,711,143,366,707,667,702,718,827)
( 77,365,301,268,789,513,554,635,456,339)( 78,525,848,133,275,319,315,
308,448,157)( 79,481,197,482,785,692,883,493,477,520)
( 80,278,542,336,200,292,704,121,451,253)( 84,782,687,665,686,755,445,
172,399,386)( 90,331,803,586,380,177,737,384,741,132)
( 93,791,457,302,314,527,364,313,176,106)( 97,264,864,865,122,591,446,
182,611,533)(101,345,362,580,608,303,632,819,240,500)
(105,726,566,526,560)(108,327,180,683,405,499,234,861,531,402)
(109,455,354,259,131,408,307,224,528,283)(111,285,877,471,343,833,523,
427,117,304)(112,656,517,344,646,395,237,171,647,453)
(113,145,783,669,777,684,784,231,252,573)(125,196,363,661,391,807,187,
389,156,689)(130,734,800,338,195,830,649,618,371,387)
(136,161,340,459,524,740,516,483,535,360)(139,461,750,433,769,792,372,
738,198,610)(142,713,577,494,440,552,220,838,332,852)
(146,306,681,518,605,697,229,439,426,843)(170,762)(175,809,295,192,
438,390,436,203,193,271)(179,568,498,291,562,695,672,297,589,675)
(181,218,617,318,468,841,673,294,201,749)(186,357,236,768,217,257,880,
417,802,716)(188,272,593,532,761,571,299,754,266,561)
(190,714,813,664,857,194,230,879,751,678)(222,290,415,742,709,642,609,
406,770,424)(223,637,682,606,403,394,884,758,530,790)(281,720)
(282,309,419,441,620,521,476,625,379,466)(347,650,590,464,529,430,651,
434,730,418)(356,579,812,411,631) ] ],
[ 3, 27590492160, 0, "2", [ [ 336, 1 ], [ 512, 1 ], [ 42, 1 ] ], 1,
"PGU(6, 2)", [ "2A", [ 5, 2 ], 1 ],
[ ( 1,658,572,692, 72,806,317,569,225, 10,834,618,140,632,553,857,212, 61,
696,781,704,631, 8,456,177,342,505,586,364,640,753,845,848,490,757,
290)( 2,710,208,799,559,715,555,523,784,681,531,671,501,445,788,771,
600,644, 51, 59,258,153,616,635,175,792, 13,431,655,832,790,158,300,
18,224, 9)( 3,603,515,565,643,411,749,720,402,243,718,369,412,447,
168,230,872,534,127,708,204,633,308,843,827,374,419,420,876,443,621,
389,207,588,178,558)( 4,886,508,240, 68,518,350,726,829,722,367,568,
581,425,712, 71,637,714,206,152,727,880,762,381,316,471,264,303,302,
858,291, 64,397,566,329,186)( 5,634,810,422,450,861,416,110,617,525,
183,652,193,542, 66,870,672, 36,803,218,259, 45,778, 27,890,842,636,
7,407,123,285, 67,794,770,642, 92)( 6,495,368, 99,854,199, 53,271,
514,623, 55,622,221,268,229,149,111,606, 74,353,380,614,220,694,423,
678,826,839,630,725,496,815,288,506,641,653)( 11,436,170,434,674,492,
695,139,176,457,611,116, 16,497,828,289,546,330, 35,323,521,547,197,
154,244,143,602,455, 60,594,498,299,249,440,351,337)( 12,609,682,404,
595,194,148,101,325,427,513,417,741,466,306,128,544,138,189,121,583,
833,477,430,363,802, 41,541,237,645,775,180,161,663,219,112)
( 14,341,346,428,825,533,103,639,438,628,460,415,596,701,356,184,453,
424,191,664,613, 75,405,774,783,735,433,891,693,136,201,464,732,665,
126,873)( 15, 31,122,444,612,388,516,626,760, 43,607,866,482,481, 98,
202, 20,624, 33, 97,500,733,723,282,393,102,801,543,242,164, 48,758,
509,551,361,458)( 17,743,511,646,284,190,144,608,298,571,129,311,222,
584, 22,185, 78, 84,452,483,782,179,717,250,118,245,309,836,752,719,
863,378, 62,557,333,326)( 19,241,769, 94,507,474,691,210,476,811,648,
860,883,699,386,217,465, 26,115, 52,780,548,619,157,305,463,487, 42,
354,526,629,688,731,729,137,408)( 21,620,730,142, 54,435,322,479,887,
751,166,421,278,750, 47,510,167,538, 91,280, 37,429,737, 65,776,401,
359,213,318,418,454,162, 93,198,272,738)( 23,106,702,203,451,627,163,
560,535,666,130,679,850,662,598,684,406,292,582,837,697,279,889,807,
227, 40,754,352,494,567,877,587,470,747, 30,449)( 24,296,745,786,570,
109,680,721,491,838, 32,160,371,216,475, 85,768,462,485, 25,520,261,
28,156,808,196,377,307,324,687,713,685,266,539,287,414)
( 29,657,313,275,107,575,293,851,597)( 34,304,728,813, 79,885,578,141,
332,133, 81,649,365,104,382,660,884,273,590,804,698,248,238,881,467,
38,888,689,147,562,226,667,100,647,610,604)( 39,638,442,756,868,773,
585,651,319,172,869,874,328,383,232,677,554,716,765,310,764,413,703,
561,257,777,209,862,871,277,159,812, 70,800,820,265)( 44,376,707,675,
331,461, 82,686,805, 56,530,187,724,269,372,504,469,391,113,875,791,
151,312,340, 76,592,441,400,709,270,472,673,484,399,763,499)
( 46,865,134,488,573,556,853,339,601,205,787,579, 77,390,818,410,357,
478,223,563,821,146,314,370,654,281,252,746,145,493,251,669,847,174,
135,360)( 49,165,155, 58, 63,852,446,711,855,817,593,830,247,659,105,
683,797,615, 88,798,437,286, 89,742,532,755,856,132,432,670,173,668,
253,690,591,398)( 50,816,859,274,345,486,214,459, 57,503,373,536,347,
552,192,236,188,661,181,650,512,524,263,395,358,835,439,502,867,403,
262,131,171,283,706,384)( 69,772, 83,824,549,761,528,228,793,676,448,
125,195,426,301,734,529,182,321,246,744,740,233, 90,739,522,700,767,
392,150,379,256,348,599,344, 96)( 73,574,120,796,295,235,254,789,211,
336,260,124,387, 86,846,705,844,320,519,169,297,589,576,795,385,234,
87,766,114,517,849,748,550,537,540,656)( 80,349,736,375,338,625,108,
119,396,343,809,215,473,822,231,239,366,468,394,117,334,294,327,564,
785,267,814,409,362,759,864,819,831,879,480,355)( 95,823,779,605,527,
489,841,200,335)(255,840,315,545,878,276,577,580,882),
( 1,566,766,631,167,286,207,229,834,813,355,318,658,254,354, 65,301,
484,718,854,103,498,425,304,587,149,661,379,812, 44, 26,295,290)
( 2,570,340, 32,359,169,581,210,747,773,294,886, 58,168,861,657,791,
606,628, 83,749,648,454,632,258, 98,887,555,785,756,165, 82,150)
( 3, 53,478, 22,696,803,128,617,337,817,140, 12,770,394, 47,794,788,
157,133,386,852,516,172,675,228,423,324,596,847,435,663,279,792)
( 4,542,303,343,325,685,797,268,312,392,562,206,739,553,754,438,419,
802,243,672,196, 59,313,270,322,637,514,487,531,499,678,319,594)
( 5,348,372,513,321,426,285,610,588,880,280, 71,328,411, 18,292, 35,
377,621,561,578,275, 78,687,671, 7,666,653,212,822,816,563,620)
( 6,440,883,357,135,719,334,885,398,742,808,767,734,256,783,765,501,
818,278,626, 17,218,771, 62,564,643,838, 76,368,624, 92,189,242)
( 8,668,203,746,613,599,482,175,557,234,725, 20,786,459,329,272,544,
568,284,612,467,882, 9,712,862,674,118,151,462,819,138,891,622)
( 10,758,680,505,281,344,522,530,238,549,879,586,732,848,190,345,567,
691,265,361,475,750, 29,333,183, 54,635,690,468,116,418,558,480)
( 11,529,414,504,424,575, 13,409,867,455,552,142,331,727,823,644,456,
760, 96,827,309,458,850,112,757,399, 21,806,684,465,232,676,450)
( 14,253,244,474,457,598,556, 87,171,200,515,152,219,246,363,525,162,
276,214, 77,153,682,131, 93,199,602,855,839,370,216,591,799,874)
( 15,315,245,604,769, 52,476,130,497,845,208,541,759,247,667,452,745,
38,494,724,159,843,260,215,101,844,835,120,317,545,638,866,181)
( 16,408,113, 64,804,384,307,338, 40, 28,461,360,449,590,296,356,381,
248,302,106,160,832,350,186,249,509,201,825,267,506,662,376,129)
( 19,485,288,776,297,821,251,815,589,417,829,694,793,382, 97,433,402,
173,104,537,416,571,640,565,673,634,114,693,554,472,336,795,123)
( 23,723,375,396,422,868,192,840,784,469,853,864,683,367,710,107,841,
608,362,833,677,439,618,271,697, 84, 45,703, 42,809,810,872,432)
( 24, 27,597,204,814,665,233,144,197,239,831,209,166,510,263,716, 72,
659,636,182,611,471, 36,388,198,807,647,262,528,518, 99,857,777)
( 25,481,393,547,447,448,139,607,585,548,264, 66,300,735, 56,223,615,
161,722,763,446,753,282,781,836, 43,584,700, 55, 85,863,274,226)
( 30, 46,669,573,536,616,532,550, 91,397,434,406,224,349,430,257,559,
654,660,347, 67, 37,255,236,353,688,646,335,869,649,421,534,431)
( 31,751,365,601,269,520,141,655,391,633,849,539,695,639,748,442, 41,
211,811,273,721,837,407,582,774,109,828,427,460,820,299,102,705)
( 33,293, 95,310,154, 75,670,579,366,231,702,241,762,503,420,714,500,
755,772,761, 81,692,826, 68,502,540,787,250,627,473,410,768,488)
( 34,252,387,202, 80,429,796,764,373,689,453,100,890,385,298,163,108,
519,876,790,405, 51,320,436, 73,237, 61,625,560,656,230,346,778)
( 39,220,193,884,323,413,798,327,308,195,383,576, 69, 48,574,136,371,
259,146,572,164, 50,704,492,738,698,775,865,521,125,119,875,752)
( 49,126,630,551,592,451,124,291, 70,225,782,217,191,194, 74,179,577,
369,629,311,341,527,283,881,390,856,800,889,726,877,650,706,511)
( 57,543,378,176,314,595,859,121,699,289,158,609,437,466,736,495,155,
512,708,117,105,222,524,221, 88,731,306,730,779,871,143,870,686)
( 60,517,415,156,122,711,858,717,533,713,404,623,464, 86,645,110,277,
569,728,652,395,805, 90,147,235,741,188,339,491,641,523,789,744)
( 63,538,351,134,374,483,261,145,535,213,496,729,342,546,177,489,605,
187,364,614,493,681,389,508,878,358,720,743,266,352,401,115,740)
( 79,733,412,137,463,801,330,305,679,132,846,873,851,707,479,486,441,
148,316,642,780,326,184,444,111,205,240,170,380,227,185,127,709)
( 89,428,619,526,403, 94,842,583,470,701,400,600,332,507,287,178,593,
737,715,174,860,477,180,664,580,443,445,603,888,830,490,651,824) ] ],
[ 4, 55180984320, 0, "2", [ [ 336, 1 ], [ 512, 1 ], [ 42, 1 ] ], 1,
"PGammaU(6, 2)", [ "2A", [ 5, 2 ], 1 ],
[ ( 1,509,134,536,754,707,236,680, 75, 17,411,829,192,782,681,405,726, 23,
879,465,544,488,612,642,849,159,202,347,442,881)( 2,356,840,111,342,
170,116, 55,195,657,145,269,353,625,212)( 3,372,319,489,504,683,744,
458,772,498, 5,305,702,794,429,607, 81,259,605,123,708, 76,326,460,
560,658,434,325,183,888)( 4,590,436, 50,475,557,790, 30,301,298,550,
223,742, 32,755,177,559,576,515,416,384,233,409,307,620,775,595,542,
175,369)( 6, 91,699, 72, 48, 64,106,688,567,482,283,852,390,279,727,
512,861,507,730,733,783,187,619,327,444,146, 67,351,860, 45)
( 7,583,785, 65,360,627,724,346,292,244,880,165,652,548,838,516,417,
643,712,252,357,456,136,854,703,243,376,399, 88,348)( 8,508,280,318,
430,526,538, 13, 9,669,338,738,459,387,349, 37,422,309,649,117,203,
414,872,710,546,679,462, 14,452,194)( 10,286, 74,723,404,644,695,290,
662,764,295,696,890,155,659,479,869,859,808,795, 59,868,529, 39,511,
323,825,266,345,149)( 11,214,418,566,815,322,766,441,129, 56,875,823,
660,793,132,592,115, 33,198,789,228,208,655,530,749,798,275,432,287,
121)( 12,630,314,107,359,282,143,573,858,285, 78,306,878,568,569)
( 15,502,547,118,650,737,761, 60, 62,545, 24,690,713,570,855,421,300,
691,445,296,572,722,748,256,841,857,603,153,218,735)( 16,503,268,144,
773,801,150,147,164,577,291,770,361,472,604, 40,788,234,158, 97,728,
265,484,392,779,232,156,664,806,628)( 18,715,565,689, 80,213,826,706,
114,394,240,591,500, 57,520,140,797,152,439,217,216,850,278,822,729,
420,635,626,133,845)( 19,168,112,395,561,138,693,336,160,237, 25,687,
856, 66,606,358,863,574,638, 31,169,246,258, 43,523,816,543,639,407,
124)( 20,176,375,403,262,371,736,303,665,419,812,334,862,867,848,341,
556,671,239,171,799,363, 90,162,494,423,148,174,692,253)
( 21,618,264,553,656,777,181,331,185,373,137,453,835,385, 46, 27, 68,
551,105,828,608,204,677,661,631,535,412,191,496,477)( 22,519,633,813,
463,645,332,397,427,468,720,767,352,447,685,426,884,886,853,540,682,
142,435,231,747,391,774,492,839,751)( 26,528,362,379,887,466,481,161,
641,377,119,229,580,564,851)( 28,676,364,328,455,629,581,454,621,844,
497,284,598,199, 47,634,533,186,843,571,224, 70,188,126,210,865, 42,
281,487,518)( 29,532,257,746, 99,333,180,597,705,673,461,820,718,527,
804)( 34,245,780,800,582,750,406,151,103,221,235,562,261,711,367,616,
651,120,312,821,184,343,778,425,254,833,166,190,443,615)
( 35,415,834,786,104,866,889,378,675,211,299,698,396,541,807,686,613,
714,250,413,448,365,251,450,579,563,760,227,831,135)( 36, 49,316,632,
457,877,584,350,277,667,167,524,260,874,141,272, 94,225,745,836,514,
77,505,131,756, 92,247,819,552,473)( 38,810,593,122,871,393, 52,531,
814,476,684,624,740,220,555,864,209,647,102, 58,525,271,805,163,694,
355, 84,433,449,324)( 41,207,811,172,827, 89,293,451,870, 53,802,310,
670, 71,617,697,222,717,410,400,440,313,226,109,383,558,486,311,510,
701)( 44, 95,196,335,230,329,182, 51,201,255,758,388,842, 85,382)
( 54,470,478, 93,101,824,666,640,753, 63,490,274,219, 87,678,704,339,
601,381,534,438,154,762,771,289,485,173,791,493,241)( 61,130,249,431,
297,471,437, 79,401,654,178,846,672,837,389,344,402,320,885,769, 98,
263,646,586,248,784,741,428,270,623)( 69,321,759,113,304,721,446,128,
674,197,267,521,882,594,739)( 73,700,467,374,513,830,781,636,522,469,
308,294, 86,883,575,610,768,743,499,792,719,803,464,776,796,108,832,
611,600,200)( 82,622,125,668,302,609,370,242,238,317,483,368,709,501,
587, 83,380,716,506,398,817,602,127,179,206,578,725,752,549,765)
( 96,663,354,205,386,189,474,539,424,215,340,818,876,588,847)
(100,495,276,757,585,873,809,337,193,596,537,139,330,491,648)
(110,731,288,366,554,734,315,480,637,599,408,157,614,732,787)
(273,589,653,891,763,517), ( 1,266,150,685,498,313,674,190,603,222)
( 2,456,234,774,533,859,780,404,826,454)( 3,669,477,592,847,611,362,
691,379,776)( 4,127,428, 94,863,554,475,880,350,195)
( 5,275,216,506,315,516,106,885,775,425)( 6, 62,169,112,310,815,337,
269,228,508)( 7, 44,680,220,772,233,763,637,478,307)
( 8,125,293,121,545, 87,890,334,398,318)( 9, 90,664,577, 53,101,331,
283,738,679)( 10,263,327,460, 66, 42,488, 38,622,392)
( 11,166,247,546,841,326,837,133,507,383)( 12,544,540,436,157,325,628,
442,767,162)( 13,600,535,185,187,464,589,785,103,271)
( 14,444,807,465,735,357,513,828,591,710)( 15,607,151,287,246,646,297,
870,412,856)( 16,634, 79,716, 75,616,204, 60,182,455)
( 17,373,422,671,188,889,467,410,599,217)( 18, 34,714,426,344,270,751,
406,411, 39)( 19,519,235,658,386,100,186,749,301,164)
( 20, 96,341,609,423)( 21,354, 68,743,375,762,532,294,419,509)
( 22, 71,126,629,434,363,571, 30,727,860)( 23,712,537,698,816,267,632,
259, 70,875)( 24,429,330,793,794, 46,146,693,748,811)
( 25,760,692,476,663,229,777,254,323,201)( 26, 35,567,245,612,236,623,
744,457,239)( 27,542,494,868,258,704, 58,248,156,256)
( 28,615,251,525,240,857, 69,473,279,834)( 29,682,149,211,421,303,888,
432,530,469)( 31,805,549,231,585,564,295,723,608,180)
( 32,420,338,759,522,448,343,771, 61, 43)( 33,575,675,739,199,512, 50,
576,741,173)( 36,102,128,463,486,438,136,835,172,801)
( 37,602,253,224,409,701,866,547, 73,877)( 40,806,129,740,194,779,329,
482,154,161)( 41,212,309,865,598,873,174,153,654,328)
( 45,757,706,524,788,262,876,225, 57,159)( 47,261,348,135,115,783,645,
754,171, 67)( 48,312,644,193,198,605,709,250,335,515)
( 49,631,402,665,288,505,451,461,496, 98)( 51,722,441,430,523,257,696,
833,351,358)( 52,435,277,490, 76,864,227,520,884,823)
( 54,274,766,210,718,676, 92,452,184,491)( 55,659,374,181,613,619,132,
99,848,854)( 56,390,403,625,380,761,353,255,218,790)( 59,849,733,502,
168,142,813,683,707, 89)( 63,814,705,167,782,372,850,202,365,728)
( 64,555,878,214,472,736,839,143,305,499)( 65,527,808,501,694,652,178,
304,882,745)( 72,113,597,871,695,400,800,818,360,391)
( 74, 93,810,529,443,582,730,387,105,192)( 77,306,284,558,587,822,314,
643,570,538)( 78,453, 86,108,148,639,796,223,249,642)
( 80,543,827,243,290,640,641,209,566,731)( 81,720,196,346,715,203,418,
539,332,548)( 82, 83,495,205,408)( 84,152,617,635,656,393,819,855,
514,610)( 85,349,595,630,536,820,688,717,573,560)( 88,750,713,219,
732,252,556,832,681,385)( 91,480,842,853,300,296,726,648,487,844)
( 95,846,416,689,830,553,238,594,500,559)( 97,117,668,116,872,825,580,
746,802,311)(104,725,843,118,345,590,672,791,138,333)
(107,242,200,708,244,445,721,368,413,163)(109,324,758,302,215,484,666,
160,286,273)(110,446,578,371,734,424,189,799,483,340)
(111,702,317,176,440,124,687,268,604,282)(114,291,431,474,541,584,764,
651,596,601)(119,552,574,650,299,264,786,481,355,618)
(120,851,874,742,719,206,752,122,593,489)(123,824,179,276,770,724,881,
466,322,789)(130,177,191,289,684,551,829,155,861,526)
(131,661,511,414,836,137,887,468,165,396)(134,620)(139,817,809,812,321
)(140,852,492,579,662,886,624,756,320,657)(141,660,352,518,755,562,
417,586,503,367)(144,627,401,678,369,517,781,667,649,145)
(147,265,677,405,583,879,361,614,510,869)(158,769,699,308,458,285,183,
840,792,528)(170,729,470,230,221,867,427,581,298,366)
(175,241,278,621,534,803,753,316,838,493)(197,831,768,686,804,550,364,
636,670,407)(207,292,653,690,638,778,447,673,462,359)
(208,272,711,647,795,381,281,382,797,504)(213,479,787,376,747,397,845,
437,232,765)(226,572,450,606,388,497,280,703,697,821)
(237,485,655,389,569,568,449,773,700,883)(260,415,633,370,891,565,433,
378,459,395)(319,384,339,858,531,561,342,394,798,399)
(336,377,471,563,626,356,347,862,737,439)(521,588)(557,784) ] ],
[5, Factorial(891)/2,1,"2",[[890,1]],889, "Alt(891)", ["A",891, 1], "Alt"],
[6, Factorial(891),0,"2",[[890, 1]],891, "Sym(891)", ["A",891, 1], "Sym"]];
PRIMGRP[892]:=
[[1, Factorial(892)/2,1,"2",[[891,1]],890, "Alt(892)", ["A",892, 1], "Alt"],
[2, Factorial(892),0,"2",[[891, 1]],892, "Sym(892)", ["A",892, 1], "Sym"]];
PRIMGRP[893]:=
[[1, Factorial(893)/2,1,"2",[[892,1]],891, "Alt(893)", ["A",893, 1], "Alt"],
[2, Factorial(893),0,"2",[[892, 1]],893, "Sym(893)", ["A",893, 1], "Sym"]];
PRIMGRP[894]:=
[[1, Factorial(894)/2,1,"2",[[893,1]],892, "Alt(894)", ["A",894, 1], "Alt"],
[2, Factorial(894),0,"2",[[893, 1]],894, "Sym(894)", ["A",894, 1], "Sym"]];
PRIMGRP[895]:=
[[1, Factorial(895)/2,1,"2",[[894,1]],893, "Alt(895)", ["A",895, 1], "Alt"],
[2, Factorial(895),0,"2",[[894, 1]],895, "Sym(895)", ["A",895, 1], "Sym"]];
PRIMGRP[896]:=
[[1, Factorial(896)/2,1,"2",[[895,1]],894, "Alt(896)", ["A",896, 1], "Alt"],
[2, Factorial(896),0,"2",[[895, 1]],896, "Sym(896)", ["A",896, 1], "Sym"]];
PRIMGRP[897]:=
[[1, Factorial(897)/2,1,"2",[[896,1]],895, "Alt(897)", ["A",897, 1], "Alt"],
[2, Factorial(897),0,"2",[[896, 1]],897, "Sym(897)", ["A",897, 1], "Sym"]];
PRIMGRP[898]:=
[[1, Factorial(898)/2,1,"2",[[897,1]],896, "Alt(898)", ["A",898, 1], "Alt"],
[2, Factorial(898),0,"2",[[897, 1]],898, "Sym(898)", ["A",898, 1], "Sym"]];
PRIMGRP[899]:=
[[1, Factorial(899)/2,1,"2",[[898,1]],897, "Alt(899)", ["A",899, 1], "Alt"],
[2, Factorial(899),0,"2",[[898, 1]],899, "Sym(899)", ["A",899, 1], "Sym"]];
PRIMGRP[900]:=
[[ 1, 35179539819272941187344623390328059788016080859955200000000000000, 0,
"4c", [ [ 58, 1 ], [ 841, 1 ] ], 1, "Alt(30) wreath Sym(2)",
[ "A", 30, 2 ],
[ ( 1,674,512,865,305,150,361,672,722,864,605,149,481,680,422,866,695,141,
241,687, 32,850, 65,133,391,675, 92,843,755,124,451,678,212,868, 5,
134,511,685,302,870,365,132,721,684,602,869,485,140,421,686,692,861,
245,147, 31,670, 62,853,395,135, 91,663,752,844,455,138,211,688, 2,
854,515,145,301,690,362,852,725,144,601,689,482,860,425,146,691,681,
242,867, 35,130, 61,673,392,855, 95,123,751,664,452,858,215,148)
( 3,764,514,475,318,240,388, 12,734,534,625,329,510,380,432,746,714,
621,269,507, 50,430, 86,703,411,255,117, 33,760, 64,463,408,225,118)
( 4,464,528,235,328, 30,374,522,745,324,630,389,492,740,444,626,719,
501,260,447, 56,700, 81,253,417, 45,100, 63,763,394,465,108,213,778)
( 6,644,517,205,316,900,369,792,728,594,617,299,502,560,439,836,701,
351,246,657, 37,190, 76,883,399,795, 98,573,767,274,472,558,229,838,
11,344,516,655,307,210,376,882,729,804,608,599,497,290,442,566,709,
831,251,357, 36,640, 67,193,406,885, 99,783,758,574,467,288,232,568,
19,824,521,355,306,660,367,192,736,894,609,809,488,590,437,296,712,
561,259,837, 41,340, 66,643,397,195,106,873,759,784,458,588,227,298,
22,554,529,835,311,360,366,642,727,204,616,899,489,800,428,596,707,
291,262,567, 49,820, 71,343,396,645, 97,183,766,874,459,798,218,598,
17,284,532,565,319,840,371,342,726,654,607,209,496,890,429,806,698,
591,257,297, 52,550, 79,823,401,345, 96,633,757,184,466,888,219,808,
8,584,527,295,322,570,379,822,731,354,606,659,487,200,436,896,699,
801,248,597, 47,280, 82,553,409,825,101,333,756,634,457,198,226,898,
9,794,518,595,317,300,382,552,739,834,611,359,486,650,427,206,706,
891,249,807, 38,580, 77,283,412,555,109,813,761,334,456,648,217,208,
16,884,519,805,308,600,377,282,742,564,619,839,491,350,426,656,697,
201,256,897, 39,790, 68,583,407,285,112,543,769,814,461,348,216,658,
7,194,526,895,309,810,368,582,737,294,622,569,499,830,431,356,696,
651,247,207, 46,880, 69,793,398,585,107,273,772,544,469,828,221,358)
( 10, 74,523,415,315,120,363,762,724,474,618,239,508, 20,434,536,715,
321,270,387, 42,730, 84,613,419,495,110,423,776,694,471,258,237, 58)
( 13,404,525,115,303,780,364,462,738,234,628, 29,494,530,445,326,720,
381,252,747, 54,610, 89,493,410,435,116,693,771,244,477, 48,220, 88)
( 14,524,535,325,330,390,372,732,744,624,629,509,500,440,446,716,711,
261,267, 57, 40, 70, 73,403,405,105, 93,753,754,454,468,228,238, 28)
( 15,104,513,775,304,480,378,222,748, 24,614,539,505,320,450,386,702,
741,264,627, 59,490, 80,433,416,705,111,243,777, 34,460, 78,223,418)
( 18,224,538, 25,314,540,385,312,750,384,612,749,504,620,449,506,710,
441,266,717, 51,250, 87, 43,400, 75,103,393,765, 94,453,768,214,478)
( 21,254,537, 55,310, 90,373,402,735,114,603,779,484,470,438,236,718)
( 23,164,533,175,323,180,383,162,743,174,623,179,503,170,443,176,713,
171,263,177, 53,160, 83,163,413,165,113,153,773,154,473,168,233,178)
( 26,704,531,265,327, 60,370, 72,733,414,615,119,483,770,424,476,708,
231,268, 27, 44,520, 85,313,420,375,102,723,774,604,479,498,230,448)
(121,661,662,842,845,125)(122,841,665)(126,631,667,182,856,875,129,
781,668,572,857,275,142,541,679,812,851,335)(127,181,676,872,849,785,
128,571,677,272,862,545,139,811,671,332,846,635)(131,331,666,632,847,
185,136,871,669,782,848,575,137,271,682,542,859,815)(143,151,683,152,
863,155)(156,653,157,203,166,893,159,803,158,593,167,293,172,563,169,
833,161,353)(186,646,877,189,796,878,579,797,278,592,557,289,832,551,
349,816,641,337)(187,196,886,879,789,788,578,587,287,292,562,559,829,
821,341,336,636,637)(188,586,887,279,802,548,589,827,281,352,546,649,
817,191,346,876,639,787)(197,286,892,549,799,818,581,347,276,652,547,
199,826,881,339,786,638,577)(202,556,889,819,791,338,576,647,277),
( 1,644,487,170,413,135, 91,633,727,174,593,137,241,657,457,168,203,
136,841,635, 37,160, 83,133,361,642,697,171,233,148)( 2,884,489,770,
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430, 86,673,362,882,699,771,214,448, 26,674,482,890,399,765, 94,423,
746,684,572,887,249,777,454,438,206,676,842,875, 39,760, 64,433,386,
672,692,891,219,778, 4,434,506,680,392,885, 99,753,724,444,596,677,
242,897,459,768,184,436,866,665, 32,880, 69,763,364,432,716,681,212,
898, 9,764,484,440,416,675, 92,873,729,774,574,437,266,687,452,888,
189,766,844,425, 56,670, 62,883,369,762,694,441,236,688)
( 3,734,504,590,407,255,117,453,738,204,586,857,245, 57,460, 78,193,
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403,375,102,693,741,234,598, 17,254,507,470,408,195,106,843,725, 54,
580, 77,253,387,462,708,201,226,868)( 6,614,509,830,401,315,120,333,
726,624,599,827,251,327,480,348,186,616,869,815, 41,310, 90,343,366,
612,719,831,221,328, 30,344,486,620,419,825,101,303,750,354,576,617,
269,837,461,318,210,346,846,605, 59,820, 71,313,390,342,696,621,239,
838, 11,314,510,350,396,615,119,813,731,324,600,347,246,627,479,828,
191,316,870,335, 36,610, 89,823,371,312,720,351,216,628, 29,824,491,
320,420,345, 96,603,749,834,581,317,270,357,456,618,209,826,851,305,
60,340, 66,613,389,822,701,321,240,358)( 7,164,503,140,391,645, 97,
153,743,144,571,647,247,177,473,138,181,646,847,155, 53,130, 61,643,
367,162,713,141,211,658)( 8,554,499,800,398,555,109,783,728,564,589,
797,248,567,469,798,188,556,859,785, 38,550, 79,793,368,552,709,801,
218,568, 19,794,488,560,409,795, 98,543,739,804,578,557,259,807,458,
558,199,796,848,545, 49,790, 68,553,379,792,698,561,229,808)
( 10, 74,493,380,402,705,111,213,748, 24,584,497,260,417,465,108,183,
736,864,575, 47,250, 87,463,378,192,706,861,215, 58)( 12,704,501,230,
418, 15,104,483,740,414,585,107,243,747,474,588,197,256,867,455, 48,
190, 76,853,365, 42,700, 81,223,388)( 14,494,500,410,405,105, 93,723,
744,594,587,257,267,477,468,198,196,856,845, 35, 40, 70, 73,373,372,
702,711,231,238, 28)( 16,854,485, 50,400, 75,103,363,732,714,591,227,
268, 27,464,498,200,406,855, 95, 33,730, 84,583,377,252,717,471,228,
208)( 18,194,496,860,395, 45,100, 63,733,384,582,707,261,237,478)
( 20,404,495,110,393,735,114,573,737,264,597,467,258,207,466,858,185,
46,850, 65, 43,370, 72,703,381,222,718, 21,224,508)( 22,524,505,290,
412,525,115,273,742,534,595,287,262,537,475,288,202,526,865,275, 52,
520, 85,283,382,522,715,291,232,538, 25,284,502,530,415,285,112,513,
745,294,592,527,265,297,472,528,205,286,862,515, 55,280, 82,523,385,
282,712,531,235,298)( 23,134,481,650,397,165,113,123,721,654,577,167,
263,147,451,648,187,166,863,125, 31,640, 67,163,383,132,691,651,217,
178)(121,631,637,157,173,143)(122,871,639,757,154,443,146,661,632,
877,159,773,124,421,656,667,152,893,129,751,634,427,176,683)
(126,601,659,817,161,323,150,331,636,607,179,833,131,301,660,337,156,
623,149,811,641,307,180,353)(127,151,653)(128,541,649,787,158,563,
139,781,638,547,169,803)(142,511,655,277,172,533,145,271,652,517,175,
293)(272,892,519,775,274,442,536,685)(276,622,539,835,281,322,540,355
)(278,562,529,805)(279,772,514,445,296,682,512,895)(289,802,518,565)
(292,532,535,295)(299,832,521,325,300,352,516,625)(302,900,339,756,
604,449,836,671)(304,450,356,666,602,899,819,761)(306,630,359,816,
611,329,840,341)(308,570,349,786,608,569,829,791)(309,780,334,426,
626,689,812,881)(311,330,360,336,606,629,839,821)(319,810,338,546,
619,809,818,551)(326,690,332,876,609,779,814,431)(422,896,669,752,
874,429,776,664)(424,446,686,662,872,879,759,754)(428,566,679,782,
878,549,769,784)(439,806,668,542,889,789,758,544)(548,559,799,788) ]
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"4c", [ [ 58, 1 ], [ 841, 1 ] ], 1, "Alt(30).2^2", [ "A", 30, 2 ],
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154,780,123,355,597,781,892, 19,158,270,125,655,588,391,891,619,159,
720,133,565,585,181,884,469,160,390,122,295,587,841,896,109,173,450,
131,685,582, 61,894, 49,170,840,124,775,573,331,897,799,172, 30,128,
265,575,631,888,409,171,630,129,715,583,541,885,199,164,480,130,385,
572,271,887,859,176,120,143,445,581,661,882, 79,174, 60,140,835,574,
751,873,349,177,810,142, 25,578,241,875,649,168,420,141,625,579,691,
883,559,165,210,134,475,580,361,872,289,167,870,146,115,593,421,881,
679,162, 90,144, 55,590,811,874,769,153,360,147,805,592)
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823,544,765,183,344,477,790,382)( 3,338,267,785,652, 18,398,261,605,
639,708,403,561,615,189,704,463,550,375,182,284,467,850,386, 92,293,
437,851,686,102, 83,444, 41,680,822, 64,774, 33,350,837,784,772)
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700,373,542,285,197,854,476,100,383,422,281,677,852, 86,114, 53,440,
821,664,762, 63,354, 57,800,832)( 5,638,258,395,651,618,399,711,613,
549,705,193,554,465,190,374,452,280,377,842,296,107,863,446,101,683,
432, 71,684, 42, 80,834, 34,770,813,334,777,783,352, 27,788,262)
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220,389,512,276,227,869,536, 96,233,449,521,666,222, 89,534, 36,230,
839,514,756,213,359,537,786,232, 29,518,246,215,659,528,396,231,629,
519,696,223,569,525,186,224,479,520,366,212,299,527,846,236,119,533,
426,221,689,522, 66,234, 59,530,816,214,779,513,336,237,809,532)
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310,367,302,277,317,847,326, 97,323,427,311,667,312, 67,324, 37,320,
817,304,757,303,337,327,787,322)( 8,248,245,635,648,408,411,621,609,
699,703,553,555,195,194,464,460,370,362,272,287,857,866,116,113,443,
431,671,672, 72, 84, 54, 50,830,814,754,753,333,357,807,802, 22)
( 9,698,253,545,645,198,404,471,610,369,692,283,557,855,206,104,473,
430,371,662,282, 77,864, 56,110,833,424,761,663,342, 87,804, 52, 20,
818,244,755,633,348,417,801,622)( 10,368,242,275,647,858,416,111,623,
429,701,673,552, 75,204, 44,470,820,364,752,273,347,867,806,112, 23,
428,251,665,642, 78,414, 51,620,819,694,763,543,345,207,794,472)
( 11,668,252, 65,654, 48,410,831,604,759,693,343,567,795,202, 14,458,
250,365,632,288,407,861,626, 99,713,433,551,675,192, 74,474, 40,380,
812,274,767,843,356,117,803,442)( 12, 68,264, 35,650,828,394,771,603,
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435,191,674,462, 70,384, 32,290,827,844,776, 93,353,447,791,682)
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670,372, 62,294, 47,860,836, 94,773,423,341,687,792, 82, 24, 38,260,
815,634,768,393,351,627,789,712)( 16,488,256,485,646,498,406,501,616,
489,706,493,556,495,196,494,466,490,376,482,286,497,856,506,106,503,
436,491,676,492, 76,504, 46,500,826,484,766,483,346,507,796,502)
( 17,848,266, 95,653,438,401,681,612, 69,714, 43,560,825,184,764,453,
340,387,782,292)( 28,728,268,725,658,738,418,741,628,729,718,733,568,
735,208,734,478,730,388,722,298,737,868,746,118,743,448,731,688,732,
88,744, 58,740,838,724,778,723,358,747,808,742)(121,895,589,151,900,
139,175,600)(126,235,599,511,876,229,179,540)(127,325,577,301,877,
319,157,330)(136,505,586,481,886,499,166,510)(145,595,571,871,889,
169,180,150)(148,745,598,721,898,739,178,750)(149,535,576,211,899,
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(238,749,538,726)(316,487)(328,727)(508,736),
( 1,201,412,661,141,652,511,171,502,451,261,232,331,591, 22,181,411,
682,121,651,532,151,501,472,241,231,352,571, 21,202,391,681,142,631,
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476,243,220,345,576, 8,189,414,680,122,641,533,167,509,469,244,238,
355,596, 3,190,405,666,128,639,534,170,482,461,263,227,359,589, 4,
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124,658,535,176,483,460,255,216,338,579, 24,200,392,671,143,647,539,
169,484,478,265,236,333,580, 15,186,398,669,144,650,512,161,503,467,
269,229,334,598, 25,206,393,670,135,636,518,159,504,470,242,221,353,
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( 5,187,406,678,134,643,522,155,487,466,258,224,343,582)
( 6,188,399,684,140,632,521,173,497,479,259,214,358,595, 26,183,400,
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453,250,225,336,578, 9,204,410,662,131,653,527,179,499,454,268,235,
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205,416,663,130,645,516,158,489,474,260,212,341,593, 17,209,409,664,
148,655,536,153,490,465,246,218,339,594, 20,182,401,683,137,659,529,
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254,223,342,575)( 12,185,397,676,138,644,523,162,485,457,256,228,344,
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( 14,193,402,665,127,646,528,164,493,462,245,217,346,588)
( 16,198,404,673,132,635,517,166,498,464,253,222,335,577)
( 18,194,403,672,125,637,526,168,494,463,252,215,337,586)
( 27,207,417,687,147,657,537,177,507,477,267,237,357,597)
( 30,210,420,690,150,660,540,180,510,480,270,240,360,600)
( 31,861,622,271,831,112,751, 81,742,871,711,382)( 32,851,623,287,839,
109,754, 88,745,896,693,370, 45,846,608,279,834,110,752, 71,743,887,
719,379, 34,868,625,296,813,100,765, 66,728,879,714,380)
( 33,850,615,276,818, 99,774, 80,722,881,713,377, 59,859,604,298,835,
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715,386)( 35,847,616,288,824,103,762, 65,727,886,708,374, 43,852,605,
277,826,108,764, 73,732,875,697,376, 48,854,613,282,815, 97,766, 78,
734,883,702,365, 37,856,618,284,823,102,755, 67,736,888,704,373, 42,
845,607,286,828,104,763, 72,725,877,706,378, 44,853,612,275,817,106,
768, 74,733,882,695,367, 46,858,614,283,822, 95,757, 76,738,884,703,
372)( 36,848,609,294,830, 92,761, 83,737,899,709,364, 58,865,626,273,
820,105,756, 68,729,894,710,362, 41,863,617,299,829, 94,778, 85,746,
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603,280,825, 96,758, 69,744,890,692,371, 53,857,629,289,814,118,775,
86,723,880,705,366)( 39,864,620,272,821,113,767, 89,739,874,718,385,
56,843,610,285,816, 98,759, 84,740,872,701,383, 47,869,619,274,838,
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293,827,119,769, 64,748,895,716,363)( 51,862,601,291,832, 91,771, 82,
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429,324,800,542,431,323,797,569,439,304,808,565,446,303,790,555,426,
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550,435)(327,807,567,447)(330,810,570,450) ] ],
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319,563,691,608,385,526,234,510, 2,749,255,430,862, 81,573,477,356,
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20,727,249,424,868, 66,587,468,342,275,643,170,877,759,124, 58,396,
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847, 69,574,478,336,287,648,162,875,763,140, 37,399,814,118,666,197,
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339,274,658,156,887,768,132, 35,403,830, 97,669,184,808,306,557,708,
612,365,523,230,487, 9,724,268,426,857, 78,582,455,343,290,637,159,
874,778,126, 47,408,822, 95,673,200,787,309,544,718,606,377,528,222,
485, 13,740,247,429,844, 88,576,467,348,282,635,163,890,757,129, 34,
418,816,107,678,192,785,313,560,697,609,364,538,216,497, 18,732,245,
433,860, 67,579,454,358,276,647,168,882,755,133, 50,397,819, 94,688,
186,797,318,552,695,613,380,517,219,484, 28,726,257,438,852, 65,583,
470,337,279,634,178,876,767,138, 42,395,823,110,667,189,784,328,546,
707,618,372,515,223,500, 7,729,244,448,846, 77,588,462,335,283,650,
157,879,754,148, 36,407,828,102,665,193,800,307,549,694,628,366,527,
228,492, 5,733,260,427,849, 64,598,456,347,288,642,155,883,770,127,
39,394,838, 96,677,198,792,305,553,710,607,369,514,238,486, 17,738,
252,425,853, 80,577,459,334,298,636,167,888,762,125, 43,410,817, 99,
664,208,786,317,558,702,605,373,530,217,489)( 8,745,256,444,870, 62,
599,465,340,292,651,153,897,776,134, 49,413,811, 98,685,196,804,330,
542,719,615,370,532,231,483, 27,746,254,439,863, 61,578,475,346,294,
660,152,899,765,130, 52,411,813,117,686,194,799,323,541,698,625,376,
534,240,482, 29,735,250,442,861, 63,597,476,344,289,653,151,878,775,
136, 54,420,812,119,675,190,802,321,543,717,626,374,529,233,481)
( 10,742,261,423,867, 86,584,469,353,271,638,175,886,774,150, 32,419,
825,100,682,201,783,327,566,704,619,383,511,218,505, 16,744,270,422,
869, 75,580,472,351,273,657,176,884,769,143, 31,398,835,106,684,210,
782,329,555,700,622,381,513,237,506, 14,739,263,421,848, 85,586,474,
360,272,659,165,880,772,141, 33,417,836,104,679,203,781,308,565,706,
624,390,512,239,495)( 11,731,251,431,851, 71,581,461,341,281,641,161,
881,761,131, 41,401,821,101,671,191,791,311,551,701,611,371,521,221,
491)( 15,730,262,441,843, 87,596,464,349,293,631,158,895,766,144, 60,
392,839,105,670,202,801,303,567,716,614,379,533,211,488, 25,736,264,
450,842, 89,585,460,352,291,633,177,896,764,139, 53,391,818,115,676,
204,810,302,569,705,610,382,531,213,507, 26,734,259,443,841, 68,595,
466,354,300,632,179,885,760,142, 51,393,837,116,674,199,803,301,548,
715,616,384,540,212,509)( 19,743,241,428,865, 76,594,480,332,299,645,
160,892,771,123, 57,416,824,109,683,181,788,325,556,714,630,362,539,
225,490, 22,741,243,447,866, 74,589,473,331,278,655,166,894,780,122,
59,405,820,112,681,183,807,326,554,709,623,361,518,235,496, 24,750,
242,449,855, 70,592,471,333,297,656,164,889,773,121, 38,415,826,114,
690,182,809,315,550,712,621,363,537,236,494)( 21,723,267,446,854, 79,
593,451,338,295,646,174,900,752,149, 45,400,832,111,663,207,806,314,
559,713,601,368,535,226,504, 30,722,269,435,850, 82,591,453,357,296,
644,169,893,751,128, 55,406,834,120,662,209,795,310,562,711,603,387,
536,224,499, 23,721,248,445,856, 84,600,452,359,285,640,172,891,753,
147, 56,404,829,113,661,188,805,316,564,720,602,389,525,220,502),
( 1,236,408,359,431,330, 50,195,298,173)( 2,866,394,839,425,390, 49,
615,284,563, 25,476,403,689,428,600, 47,525,279,113, 24,896,417,779,
426,510, 32,855,274,833, 5,386,409,629,434,570, 55,465,283,683, 8,
596,407,539,429,120, 54,885,297,773, 6,506,392,869,424,840, 35,375,
289,623, 14,566,415,479,433,690, 38,585,287,533, 9,116,414,899,447,
780, 36,495,272,863, 4,836,395,389,439,630, 44,555,295,473, 13,686,
398,599,437,540, 39,105,294,893, 27,776,396,509,422,870, 34,825,275,
383, 19,626,404,569,445,480, 43,675,278,593, 17,536,399,119,444,900,
57,765,276,503)( 3,806,402,149,423,810, 42,135,273,803, 12,146,393,
809,432,150, 33,795,282,143)( 7,266,406,749,430,660, 37,255,286,743,
10,656,397,269,436,750, 40,645,277,263, 16,746,400,659,427,270, 46,
735,280,653)( 11,326,410,209,448,180, 31,225,288,353)
( 15,296,413, 29,446,420, 59,435,300, 53)( 18,356,401,329,440,210, 58,
165,271,233)( 20,206,418,179,421,240, 48,345,281,323)
( 21, 86,411, 89,441, 90, 51, 75,291, 83)( 22,716,412,719,442,720, 52,
705,292,713)( 23, 26,416,419,449,450, 60, 45,285,293)
( 28,176,391,239,438,360, 41,315,290,203)( 30, 56,405,299,443)
( 61,231, 78,351, 71,321, 80,201, 88,171)( 62,861, 64,831, 65,381, 79,
621, 74,561, 85,471, 73,681, 68,591, 77,531, 69,111, 84,891, 87,771,
66,501)( 63,801, 72,141)( 67,261, 76,741, 70,651)( 82,711)
( 91,234,888,357,761,306,500,182,868,154,811,215,378,349,611,314,560,
205,478,163,661,218,588,347,521,309,110,204,898,177,751,216,498,332,
851,304,830,185,388,169,601,224,558,355,461,313,680,188,598,167,511,
219,108,354,881,327,770,186,508,152,841,214,828,335,371,319,620,194,
568,175,451,223,678,338,581,317,530,189,118,174,871,237,768,336,491,
302,860,184,838,155,361,229,618,344,551,325,470,193,688,158,571,227,
528,339,101,324,890,207,778,156,481,212,858,334,821,305,380,199,628,
164,541,235,468,343,671,308,590,197,538,159)( 92,864,874,837,755,366,
499,602,854,544,835,455,373,679,608,584,557,535,459,103,684,878,597,
767,516,489)( 93,804,882,147,753,786,492,122,843,784,822,125,363,799,
612,134,543,805,462,133,663,788,582,137,513,789,102,144,873,807,762,
126,483,782,852,124,813,785,372,139,603,794,552,145,453,793,672,128,
573,797,522,129)( 94,834,875,387,769,606,494,542,865,454,823,665,368,
589,617,524,549,115,474,883,687,758,576,497,512,849)( 95,384,889,627,
764,546,505,452,853,664,818,575,377,529,609,104,564,895,477,763,666,
488,572,857,514,819)( 96,504,872,867,754,816,485,362,859,604,824,545,
385,469,613,674,548,595,467,523,669, 98,594,887,537,759)
( 97,264,886,747,760,636,487,242,856,724,820,635,367,259,616,734,550,
655,457,253,676,728,580,647,517,249,106,744,880,657,757,246,496,722,
850,634,817,245,376,739,610,644,547,265,466,733,670,638,577,257,526,
729,100,654,877,267,766,726,490,632,847,244,826,725,370,649,607,254,
556,745,460,643,667,248,586,737,520,639)( 99,114,894,897,777,756,486,
482,842,844,814,815,365,379,619,614,554,565,475,463,673,668,578,587,
527,519)(107,534,879,117,774,876,507,752,846,484,812,845,364,829,605,
374,559,625,464,553,685,458,583,677,518,579)(109,624,884,567,775,456,
493,662,848,574,827,515,369)(112,714,892,717,772,696,502,692,862,694,
832,695,382,709,622,704,562,715,472,703,682,698,592,707,532,699)
(121,213,798,342,131,303,800,192,148,153,781,222,138,333,791,312,140,
183,808,162)(123,783,792,132)(127,243,796,732,130,633,787,252,136,
723,790,642)(142,693,802,702)(151,211,228,348,341,311,320,200,208,178
)(157,241,226,738,340,641,307,260,196,748,160,631,217,258,346,731,
310,650,187,268,166,721,220,648,337,251,316,740,190,658)
(161,301,230,198,358)(168,331,221,318,350,191,328,170,181,238)
(172,691,232,708,352,701,322,710,202,718)(247,256,736,730,640,637)
(250,646,727)(262,706,742,700,652,697) ] ],
[ 4, 140718159277091764749378493561312239152064323439820800000000000000, 0,
"4c", [ [ 58, 1 ], [ 841, 1 ] ], 1, "Sym(30) wreath Sym(2)",
[ "A", 30, 2 ],
[ ( 1,805,113, 44, 84,826, 30,535, 94,314, 68,136, 10,595,102,494, 75,406,
2,205, 91,794, 83, 46, 24,835,120,524, 64,316, 8,145,100,584, 72,
496, 15,415, 92,194, 61,796, 23, 55,114,824, 90,526, 4,325, 98,134,
70,586, 12,505,105,404, 62,196)( 3,625,109,734, 65,376, 20,715, 97,
854, 66,286, 9,565,111,224, 88,166, 13,265,112,674, 89,766, 27,445,
108,884, 77,346)( 5,385,110,704, 67,856, 6,295, 99,554, 81,226, 28,
175,103,254, 82,676, 29,775,117,434, 78,886, 17,355, 93,614, 79,736)
( 7,865, 96,284, 69,556, 21,235,118,164, 73,256, 22,685,119,764, 87,
436, 18,895,107,344, 63,616, 19,745, 95,374, 80,706)( 11,655,116,464,
71,646, 26,475,101,644, 86,466)( 14, 85,106)( 16, 25,115,104, 74, 76)
( 31,804,833, 60,534,814,330,518,124,310,578,132,490,585,402,482,195,
391,782,203)( 32,204,811,810,533, 34,324,818,150,520,574,312,488,135,
400,572,192,481,795,413)( 33,624,829,750,515,364,320,698,127,850,576,
282,489,555,411,212,208,151,793,263, 52,684,839,780,537,424,318,878,
137,340,573,612,499,735,395,362,200,691,787,863, 36,294,819,570,531,
214,328,158,133,250,592,672,509,765,417,422,198,871,797,353)
( 35,384,830,720,517,844,306,278,129,550,591,222,508,165,403,242,202,
661,809,773, 57,444,828,900,527,334,303,608,139,730,575,372,500,705,
397,842,186,271,789,563, 51,234,838,180,523,244,322,668,149,760,597,
432,498,885,407,332,183,601,799,743)( 37,864,816,300,519,544,321,218,
148,160,583,252,502,675,419,752,207,421,798,893, 47,354,813,630,529,
724,305,368,140,700,577,852,486,285,399,542,201,211,808,173, 43,264,
832,690,539,754,327,428,138,880,587,342,483,615,409,722,185,361,800,
713)( 38,144,820,600,522,484,315,398,122,190,571,792,503, 45,414,812,
210,511,784,323)( 39,564,831,240,538,154,313,248,142,670,599,762,507,
435,408,872,197,331,783,623, 49,744,815,390,530,694,307,848,126,280,
579,552,501,225,418,152,193,241,802,683, 59,774,837,450,528,874,317,
338,123,610,589,732,485,375,410,692,187,841,786,293)( 40,594,822,510,
525,394,302,188,121,790,593, 42,504,825,420,512,184,301,788,143)
( 41,654,836,480,521,634,326,458,131,640,596,462,491,645,416,452,191,
631,806,473)( 48,894,827,360,513,604,319,728,125,370,590,702,487,855,
396,272,189,541,801,233, 58,174,823,270,532,664,329,758,147,430,588,
882,497,345,393,602,199,721,785,383, 50,714,817,870,516,274,309,548,
141,220,598,162,493,255,412,662,209,751,807,443)( 53, 54,834,840,540,
514,304,308,128,130,580,582,492,495,405,392,182,181,781,803)
( 56,474,821,660,536,454,311,638,146,460,581,642,506,465,401,632,206,
451,791,653)(153,613,259,742,665,389,770,717,427,858,876,287,339,543,
621,229,748,155,373,260,712,667,869,756,297,429,558,891,227,358)
(156,283,249,562,681,239,778,177,433,258,892,677,359,753,627,439,738,
875,377,350,693,607,859,726,275,369,560,711,217,868)(157,853,246,292,
669,569,771,237,448,168,883,257,352,663,629,769,747,425,378,890,707,
337,843,606,289,729,545,381,230,718)(159,553,261,232,688,179,763,267,
442,678,899,767,357,423,618,889,737,335,363,620,709,727,845,366,290,
699,547,861,216,298)(161,643,266,472,671,659,776,477,431,648,896,467,
341,633,626,469,731,635,386,470,701,637,866,456,281,639,566,471,221,
658,176,463,251,652,686,479,761,657,446,468,881,647,356,453,611,649,
746,455,371,650,716,457,851,636,296,459,551,651,236,478)
(163,253,262,682,689,779,777,447,438,888,887,347,333,603,619,739,725,
365,380,710,697,847,846,276,279,549,561,231,238,178)(167,343,243,622,
679,749,755,387,440,708,877,857,336,273,609,559,741,215,388,170,703,
247,862,666,299,759,567,441,228,898)(169,733,245,382,680,719,757,867,
426,288,879,557,351,213,628)(171,223,268,172,673,269,772,687,449,768,
897,437,348,873,617,349,723,605,379,740,695,367,860,696,277,849,546,
291,219,568)(461,641,656,476),
( 1, 56,445,103,285,400,603,530,755,388,171,251,653,867,487,796, 24,
716,428,133,288,880,619,740,756,238,179,821,631, 57,505,106, 15,416,
423,523,275,370,621,260,773,868,157,791,654,717,488,136, 18,896,439,
733,276,220,629,830,751, 58,175,101,645,417,483,526, 5,386,441,253,
293,850,607,800,774,718,158,131,648,897,499,736, 6,236,449,823,271,
40,625,110,765,418,153,521,635,387,501,256, 23,866,427,793,294,700,
608,140,768,898,169,731,636,237,509,826)( 2,206,422,193,272,190,602,
200,752,208,152,191,632,207,482,196)( 3,536,425,373,291,250,623,860,
757,808,174,701,638,147,498,886, 19,746,426,223,299,820,601, 50,775,
118,165,401,633,537,485,376, 21,266,443,853,277,790,624,710,758,148,
168,881,649,747,486,226, 29,836,421, 43,295,100,615,410,753,538,155,
371,651,267,503,856, 7,806,444,703,278,130,618,890,769,748,156,221,
659,837,481, 46, 25,116,435,403,273,520,605,380,771,268,173,851,637,
807,504,706, 8,146,438,883,289,730,606,230,779,838,151, 41,655,117,
495,406)( 4,326,429,553,292,670,630,590,764, 88,167,341,634,327,489,
556, 22,686,450,583,284, 70,617,350,754,328,159,551,652,687,510,586,
14, 86,437,343,274,310,609,560,772,688,180,581,644, 87,497,346)
( 9,566,442,673,300,580,614, 80,767,358,154,311,639,567,502,676, 30,
596,434, 73,287,340,604,320,759,568,172,671,660,597,494, 76, 17,356,
424,313,279,550,622,680,780,598,164, 71,647,357,484,316)
( 10,626,440,763,298,160,611,650,777,508,166, 11,656,447,493,286)
( 12,476,432,463,282,460,612,470,762,478,162,461,642,477,492,466)
( 13,296,430,613,290,760,628,170,761,658,177,491,646, 27,506,436)
( 16, 26,446,433,283,280,610,620,770,778,178,161,641,657,507,496)
( 20,776,448,163,281,640,627,500,766, 28,176,431,643,297,490,616)
( 31, 55,115,105,405,393,513,515,365,381,261,263,863,847,787,804,714,
698,128,138,888,889,739,726,216,239,839,811)( 32,205, 92,195,392,183,
512,185,362,201,242,203,842,187,782,204,692,188,122,198,872,199,722,
186,212,209,812,181)( 33,535, 95,375,411,243,533,845,367,801,264,713,
848,127,798,894,709,728,126,228,899,829,721, 36,235,119,825,391)
( 34,325, 99,555,412,663,540,575,374, 81,257,353,844,307,789,564,712,
668,150,588,884, 79,737,336,214,329,819,541, 52,685,120,585,404, 63,
527,335,364,321,249,563,862,667,810,594,704, 68,137,348,874,319,729,
546,232,689,840,571, 44, 85,107,345,394,303,519,545,382,681,270,593,
854, 67,797,354,694,308,129,558,892,679,750,576,224, 89,827,331)
( 35,385,111,255,413,843,517,785,384,711,248,143,858,877,799,744,696,
218,149,828,871, 49,745, 96,225,419,813,511)( 37,805,114,705,398,123,
528,875,379,741,246,233,869,817,781, 54,715, 98,135,408,873,529,725,
366,231,269,833,841)( 38,145,108,885,409,723,516,215,389,831,241, 53,
865, 97,795,414,693,518,125,378,891,259,743,846,217,809,834,691)
( 39,565,112,675,420,573,524, 65,377,351,244,323,849,547,802,684,720,
578,134, 78,887,349,724,306,219,569,832,661, 60,595,104, 75,407,333,
514,305,369,561,262,683,870,577,794, 84,707,338,124,318,879,559,742,
666,240,599,824, 61, 47,355, 94,315,399,543,532,665,390,591,254, 83,
857,337,784,324,699,548,142,678,900,589,734, 66,227,359,814,301)
( 42,475,102,465,402,453,522,455,372,471,252,473,852,457,792,474,702,
458,132,468,882,469,732,456,222,479,822,451)( 45,415, 93,525,395,363,
531,245,383,861,247,803,864,697,788,144,708,878,139,738,876,229,749,
816,211, 59,835, 91)( 48,895,109,735,396,213,539,815,361, 51,265,113,
855,397,783,534,695,368,141,258,893,859,727,786,234,719,818,121)
( 62,197,332,184,302,189,542,202,662,210,572,194)( 64,317,339,544,322,
669,570,592,674, 90,587,344)( 69,557,352,664,330,579,554, 82,677,360,
574,314)( 72,467,342,454,312,459,552,472,672,480,582,464)
( 74, 77,347,334,304,309,549,562,682,690,600,584)(192,452) ] ],
[ 5, 296704800, 0, "4c", [ [ 58, 1 ], [ 841, 1 ] ], 1,
"PSL(2, 29) wreath Sym(2)", [ "L", [ 2, 29 ], 2 ],
[ ( 1,728,292,869,826,789,467, 27,744,300,846,813,793,471, 14,721,278,862,
839,796,459, 17,747,294,870,816,783,463, 21,734,271,848,832,809,466,
9,737,297,864,840,786,453, 13,741,284,841,818,802,479, 16,729,287,
867,834,810,456, 3,733,291,854,811,788,472, 29,736,279,857,837,804,
480, 6,723,283,861,824,781,458, 22,749,286,849,827,807,474, 30,726,
273,853,831,794,451, 8,742,299,856,819,797,477, 24,750,276,843,823,
801,464)( 2,740,280,868,836,792,473, 25,739,285,851,815,787,468, 4,
722,290,850,838,806,462, 23,745,289,855,821,785,457, 18,724,272,860,
820,808,476, 12,743,295,859,825,791,455, 7,738,274,842,830,790,478,
26,732,293,865,829,795,461, 5,727,288,844,812,800,460, 28,746,282,
863,835,799,465, 11,725,277,858,814,782,470, 10,748,296,852,833,805,
469, 15,731,275,847,828,784,452, 20,730,298,866,822,803,475, 19,735,
281,845,817,798,454)( 31, 68,382,689,706,489,257, 57, 84,390,666,693,
493,261, 44, 61,368,682,719,496,249, 47, 87,384,690,696,483,253, 51,
74,361,668,712,509,256, 39, 77,387,684,720,486,243, 43, 81,374,661,
698,502,269, 46, 69,377,687,714,510,246, 33, 73,381,674,691,488,262,
59, 76,369,677,717,504,270, 36, 63,373,681,704,481,248, 52, 89,376,
669,707,507,264, 60, 66,363,673,711,494,241, 38, 82,389,676,699,497,
267, 54, 90,366,663,703,501,254)( 32, 80,370,688,716,492,263, 55, 79,
375,671,695,487,258, 34, 62,380,670,718,506,252, 53, 85,379,675,701,
485,247, 48, 64,362,680,700,508,266, 42, 83,385,679,705,491,245, 37,
78,364,662,710,490,268, 56, 72,383,685,709,495,251, 35, 67,378,664,
692,500,250, 58, 86,372,683,715,499,255, 41, 65,367,678,694,482,260,
40, 88,386,672,713,505,259, 45, 71,365,667,708,484,242, 50, 70,388,
686,702,503,265, 49, 75,371,665,697,498,244)( 91, 98,112,119,106, 99,
107,117,114,120, 96, 93,103,111,104)( 92,110,100,118,116,102,113,115,
109,105,101, 95, 97,108, 94)(121,308,562,179,766,339,227,147,324,570,
156,753,343,231,134,301,548,172,779,346,219,137,327,564,180,756,333,
223,141,314,541,158,772,359,226,129,317,567,174,780,336,213,133,321,
554,151,758,352,239,136,309,557,177,774,360,216,123,313,561,164,751,
338,232,149,316,549,167,777,354,240,126,303,553,171,764,331,218,142,
329,556,159,767,357,234,150,306,543,163,771,344,211,128,322,569,166,
759,347,237,144,330,546,153,763,351,224)(122,320,550,178,776,342,233,
145,319,555,161,755,337,228,124,302,560,160,778,356,222,143,325,559,
165,761,335,217,138,304,542,170,760,358,236,132,323,565,169,765,341,
215,127,318,544,152,770,340,238,146,312,563,175,769,345,221,125,307,
558,154,752,350,220,148,326,552,173,775,349,225,131,305,547,168,754,
332,230,130,328,566,162,773,355,229,135,311,545,157,768,334,212,140,
310,568,176,762,353,235,139,315,551,155,757,348,214)(181,428,622,539,
406,879,587,207,444,630,516,393,883,591,194,421,608,532,419,886,579,
197,447,624,540,396,873,583,201,434,601,518,412,899,586,189,437,627,
534,420,876,573,193,441,614,511,398,892,599,196,429,617,537,414,900,
576,183,433,621,524,391,878,592,209,436,609,527,417,894,600,186,423,
613,531,404,871,578,202,449,616,519,407,897,594,210,426,603,523,411,
884,571,188,442,629,526,399,887,597,204,450,606,513,403,891,584)
(182,440,610,538,416,882,593,205,439,615,521,395,877,588,184,422,620,
520,418,896,582,203,445,619,525,401,875,577,198,424,602,530,400,898,
596,192,443,625,529,405,881,575,187,438,604,512,410,880,598,206,432,
623,535,409,885,581,185,427,618,514,392,890,580,208,446,612,533,415,
889,585,191,425,607,528,394,872,590,190,448,626,522,413,895,589,195,
431,605,517,408,874,572,200,430,628,536,402,893,595,199,435,611,515,
397,888,574)(631,638,652,659,646,639,647,657,654,660,636,633,643,651,
644)(632,650,640,658,656,642,653,655,649,645,641,635,637,648,634),
( 1,492,144,216,676,200,613,401,812,360,803,897,517,109)
( 2,342,143,876,667,110,601,491,834,240,796,207,523,409)
( 3,432,134,726,664,320,617, 71,828,180,801,777,518,379)
( 4,312,137, 66,678,170,621,761,818,390,783,447,524,739)
( 5,852,142, 36,685,710,626,281,819,600,809,657,520,259)
( 6,672,140,606,671,830,630,791,837,540,799, 27,522,139)
( 7,102,121,486,684,230,616,191,823,420,782,357,533,889)
( 8,372,123,426,674,740,604,311,827, 90,798,177,531,769)
( 9,582,149,636,670,260,605,851,832, 60,805,717,536,289)
( 10,252,125,846,682, 50,625,701,836,300,789,597,539,649)
( 11,822,150,786,687,530,619)( 12,132,126,666,680,620,611,821,840,810,
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( 15,552,135,546,675,560,615,551,825,570,795,567,525,559)
( 16,192,133,396,662,350,623,881,817,120,781,507,534,229)
( 17, 72,138,156,681,770,608,371,813,450,794,747,514,319)
( 18,162,141,756,668,380,603,431,824,750,784,327,527, 79)
( 20,612,131,816,690,800,627,521,829, 30,792,147,516,679)
( 21,762,128,366,663,440,614,731,814,330,797, 87,528,169)
( 22, 42,145,696,686,290,609,581,839,660,790,267,515,859)
( 23,882,127, 96,661,500,624,221,826,210,793,417,512,349)
( 24,222,136,186,673,410,602,341,833,900,787,117,511,499)
( 25,702,146,276,669,590,629,641,820,270,785,867,532, 49)
( 26,282,129,576,689,650,610,251,815,870,802, 57,535,709)
( 28,462,148,456,688,470,628,461,838,480,808,477,538,469)
( 29,642,130,246,665,860,622, 41,835,720,806,297,519,589)
( 31,505,714,236,286,189,583,419,632,340,263,875,847,112)
( 32,355,713,896,277, 99,571,509,654,220,256,185,853,412)
( 33,445,704,746,274,309,587, 89,648,160,261,755,848,382)
( 34,325,707, 86,288,159,591,779,638,370,243,425,854,742)
( 35,865,712, 56,295,699,596,299,639,580,269,635,850,262)
( 37,115,691,506,294,219,586,209,643,400,242,335,863,892)
( 38,385,693,446,284,729,574,329,647, 70,258,155,861,772)
( 39,595,719,656,280,249,575,869,652, 40,265,695,866,292)
( 43,415,692,356,293,879,577,119,631,490,264,215,856,202)
( 44,745,694,326,287, 69,588,179,651,760,248,365,843,442)
( 45,565,705,566,285,549,585,569,645,550,255,545,855,562)
( 46,205,703,416,272,339,593,899,637,100,241,485,864,232)
( 47, 85,708,176,291,759,578,389,633,430,254,725,844,322)
( 48,175,711,776,278,369,573,449,644,730,244,305,857, 82)
( 51,775,698,386,273,429,584,749,634,310,257, 65,858,172)
( 52, 55,715,716,296,279,579,599,659,640,250,245,845,862)
( 53,895,697,116,271,489,594,239,646,190,253,395,842,352)
( 54,235,706,206,283,399,572,359,653,880,247, 95,841,502)
( 58,475,718,476,298,459,598,479,658,460,268,455,868,472)
( 59,655,700,266,275,849,592)( 61,498,174,231,766,188,373,393,422,344,
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407)( 63,438,164,741,754,308,377)( 64,318,167, 81,768,158,381,753,
428,374,723,424,314,737)( 67,108,151,501,774,218,376,183,433,404,722,
334,323,887)( 68,378,153,441,764,728,364,303,437, 74,738,154,321,767)
( 73,408,152,351,773,878,367, 93,421,494,744,214,316,197)
( 75,558,165,561,765,548,375,543,435,554,735,544,315,557)
( 76,198,163,411,752,338,383,873,427,104,721,484,324,227)
( 77, 78,168,171,771,758,368,363,423,434,734,724,304,317)
( 83,888,157,111,751,488,384,213,436,194,733,394,302,347)
( 84,228,166,201,763,398,362,333,443,884,727, 94,301,497)
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( 91,481,504,234,226,196,193,403,392,332,353,893,877, 97)
( 92,331,503,894,217,106,181,493,414,212,346,203,883,397)
(103,391,482,354,233,886,187)(105,541,495,564,225,556,195,553,405,542,
345,563,885,547)(113,871,487,114,211,496,204,223,406,182,343,413,872,
337)(118,451,508,474,238,466,208,463,418,452,358,473,898,457)
(465,568) ] ],
[ 6, 593409600, 0, "4c", [ [ 58, 1 ], [ 841, 1 ] ], 1, "PSL(2, 29)^2.2^2",
[ "L", [ 2, 29 ], 2 ],
[ ( 1,245,362, 67,677,792,126,878,210,584,628,350,292,556,221, 51,416,743,
537,309,645, 94,835,498,779,700,423,474,853,169)( 2,247,377, 72,666,
788,150,884,208,590,622,346,281,561,236, 53,417,729,525,304,655,108,
839,490,753,714,433,469,841,155)( 3,264,373, 79,661,785,122,877,197,
582,606,338,300,554,238, 50,412,736,521,321,656,113,837,489,765,694,
445,468,869,160)( 4,265,378, 89,670,783,144,883,199,571,605,332,277,
557,222, 36,398,750,524,328,650,112,826,491,771,716,443,477,849,165)
( 5,242,367, 77,672,786,128,900,194,598,620,352,286,551,231, 56,413,
747,519,315,634,115,828,509,760,693,444,463,859,151)( 6,248,390, 74,
688,800,142,886,191,591,626,353,297,549,225, 34,415,738,539,310,633,
114,823,499,751,695,422,457,857,162)( 7,257,372, 66,668,810,134,898,
200,592,616,341,291,566,233, 57,399,735,514,325,648,119,820,483,774,
703,439,451,845,152)( 8,270,374, 88,680,802,136,881,201,596,623,357,
279,555,214, 55,408,749,520,303,654,103,829,481,755,692,427,467,852,
156)( 9,255,364, 85,678,809,130,873,204,583,619,331,275,542,217, 47,
402,726,518,330,644,118,830,502,766,701,441,476,863,177)
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687,789,135,874,205,588,629,340,273,564,223, 49,391,725,512,307,647,
102,816,488,780,704,448,470,862,166)( 12,246,368, 90,674,808,140,892,
196,581,621,356,293,567,219, 45,394,745,528,329,640, 93,834,493,769,
691,425,452,847,167)( 13,259,361, 65,662,787,137,882,186,578,630,344,
298,560,232, 46,401,741,536,323,657, 99,825,484,775,708,449,460,843,
174)( 14,268,380, 82,676,791,141,896,203,597,609,345,274,565,228, 59,
400,723,534,313,649, 91,815,482,757,707,432,456,848,180)
( 15,244,385, 78,689,790,123,894,193,589,601,335,272,547,227, 42,396,
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683,807,129,885,184,595,618,359,280,543,234, 43,409,721,515,302,637,
107,822,486,758,720,434,478,860,172)( 17,252,366, 68,690,794,148,890,
202,586,611,351,296,563,237, 39,405,724,535,318,659,100,813,504,763,
709,421,455,842,157)( 18,269,370, 63,684,793,139,871,185,572,607,347,
282,546,218, 60,404,748,530,322,646,101,831,506,773,717,429,465,844,
175)( 19,241,365, 62,667,797,132,876,188,600,614,358,290,562,226, 41,
411,746,533,327,639,105,814,505,768,719,430,453,864,163)
( 20,262,376, 71,681,806,143,897,189,585,604,355,288,569,220, 33,414,
733,529,301,635, 92,817,497,762,696,428,480,854,178)( 21,266,383, 87,
669,795,124,895,198,599,610,333,294,553,229, 31,395,722,517,317,642,
96,818,510,764,718,440,472,856,161)( 22,256,371, 81,686,803,147,879,
195,574,625,348,299,550,213, 54,403,739,511,305,632, 97,827,492,756,
698,450,464,868,170)( 23,267,369, 75,664,805,138,899,190,573,624,343,
289,541,215, 32,397,737,522,306,638,120,824,508,770,712,436,461,861,
176)( 24,253,379, 61,665,782,127,887,192,576,608,360,284,568,230, 52,
406,731,531,326,653,117,819,495,754,715,438,479,850,153)
( 25,258,389, 70,663,804,133,889,181,575,602,337,287,552,216, 38,420,
734,538,320,652,106,821,501,776,713,447,459,855,154)( 26,263,387, 69,
675,784,145,888,209,580,603,354,283,559,211, 35,392,727,527,312,636,
98,840,494,778,710,442,466,851,171)( 27,249,375, 64,685,798,149,880,
183,594,613,349,271,545,212, 37,407,732,516,308,660,104,838,500,772,
706,431,471,866,173)( 28,260,382, 76,671,801,146,893,207,579,615,334,
295,558,239, 40,393,744,523,319,631, 95,812,487,767,702,426,458,870,
164)( 29,250,363, 84,673,799,121,875,182,577,617,342,276,548,240, 44,
418,740,532,316,641,111,836,503,777,699,435,454,865,168)
( 30,254,388, 80,682,796,131,891,206,593,627,339,285,544,235, 48,419,
730,513,324,643,109,811,485,752,697,437,462,846,158),
( 1,458,404,529,816,506,670,778,299,210,793,727,657,378,166,714,560,
63,222, 51,325,112,611,874,849,425,257,143,345,572)( 2, 8,398,409,
829,836,686,688,298,300,810,787,637,648,168,174,564,543,213,231,321,
322,622,604,844,845,245,263,353,332)( 3,218,411,319,832,626,664,868,
275,270,803,337,632, 18,158,414,559,813,236,681,328,292,630,784,847,
635,258,173,354,542)( 4,848,395,259,833,356,662, 28,278,420,799,817,
656,678,178,294,570,783,217,651,318,172,624,544,843,215,261,323,352,
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547,633,228,171,324,562,603,214,861,305,262,623,334,842)
( 6,488,400,769,839,206,673,748,297,390,796,697,650, 78,162, 54,565,
93,221,891,309,442,617,124,855,575,241,473,344,512)( 7,638,408,169,
834,566,663,238,291,330,802,607,634,858,155,264,563,333,212, 21,308,
412,619,814,866,665,268,293,360,782)( 9,428,407,139,825,596,661,478,
284,540,786,487,640,768,179,204,553,723,237,381,316,712,620, 64,852,
35,265,113,341,872)( 10,758,419,199,823,746,687,388,286,720,800, 67,
642, 48,175,114,551,873,219,441,317,142,615,574,841,455,254,533,336,
482)( 11,878,399,439,827,146,675,598,271,480,794,517,636,498,160,774,
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( 12, 38,415,109,821,896,669,448,287,150,795,577,631,468,164,534,546,
483,220,771,329,202,613,724,867,365,256,713,350, 62)( 13,728,417,379,
826,716,680, 88,282, 60,805, 97,641,888,159,444,557,123,225,591,301,
472,614,514,846,485,250,773,359,182)( 14,518,396,499,820,776,689,208,
283,750,807,367,646,708,170, 84,552, 33,235,111,311,892,609,424,857,
125,255,593,331,452)( 15,578,391,469,824,536,666,508,280,780,809,187,
643,738,177,384,556,693,230, 81,312, 52,625, 94,851,875,249,443,347,
122)( 16,698,410, 79,822, 56,685,118,281,900,789,427,647,138,165,594,
541,453,224,531,306,502,610,754,869,185,253,743,357,362)
( 17,128,405,589,811,476,674,538,276,510,790,757,659,198,163,744,567,
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838,296,690,808,277,660,798,157,654,558,153,234,561,303,232,621,304,
862,605,244,863,335,242, 23,338,392)( 20, 68,402, 49,835,116,671,898,
279,450,797,127,645,588,151,474,554,513,216,501,310,772,629,184,853,
725,267,383,346,692)( 22,608,394,859,815,266,683,358,272, 30,788,397,
649,828,176,684,568,273,240,801,307,652,618,154,864,545,243,233,351,
302)( 24,548,393,229,831,326,682,628,274,870,785,247,653,348,152)
( 25, 98,401,889,819,446,677,148,285,600,781,457,644,528,156,504,550,
753,239,201,313,742,627,364,856,695,260, 83,342, 32)( 27,368,406,709,
830, 86,672, 58,295,120,791,877,639,438,167,144,555,573,211,471,314,
532,606,484,850,755,269,203,343,722)( 29,188,403,739,837,386,676,718,
290, 90,792, 37,655,108,161,894,549,423,227,141,315,592,601,454,854,
515,246,503,340,752)( 31,475,104,521,876,489,430,767,149,195,583,721,
477,374,526,696,500, 70,762, 59,205,103,731,897,369,436,707,140, 75,
582)( 36,505,100,761,899,189,433,737,147,375,586,691,470, 74,522)
( 39,445,107,131,885,579,421,467,134,525,576,481,460,764,539,186,493,
730,777,389,196,703,740, 87,372, 46,715,110, 71,882)( 40,775,119,191,
883,729,447,377,136,705,590, 61,462, 44,535, 96,491,880,759,449,197,
133,735,597,361,466,704,530, 66,492)( 41,895, 99,431,887,129,435,587,
121,465,584,511,456,494,520,756,509,190,763,749,207,373,736,717,380,
76,702, 50, 85,102)( 42, 55,115,101,881,879,429,437,137,135,585,571,
451,464,524,516,486,490,760,779,209,193,733,747,387,376,706,710, 80,
72)( 43,745,117,371,886,699,440, 77,132, 45,595, 91,461,884,519,426,
497,130,765,599,181,463,734,537,366,496,700,770, 89,192)
( 47,145,105,581,871,459,434,527,126,495,580,751,479,194,523,726,507,
370,766,719,200, 73,732, 57,385,106,701,890, 69,432) ] ],
[ 7, 593409600, 0, "4c", [ [ 58, 1 ], [ 841, 1 ] ], 1, "PSL(2, 29)^2.4",
[ "L", [ 2, 29 ], 2 ],
[ ( 1,273,655,675,731,591,798,382,339,847,563,492,118,776,163,467,254,444,
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208,766, 13,453,644,435,740,141,782,412,349, 37,569,522,117,326,155,
227,270,624,878, 70,696,184,826)( 2,393,649, 45,749,531,807,322,335,
217,570,612, 98, 86,156,197,256, 24,873,640,705,724,831,781,292,355,
667,551,582,108,386,159,857,263,504,898,760,703,454,824,421,290,145,
662,401,589, 48,389,519,867,323,485,238,780,613,458, 74,426,200,136)
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894,880,700,694,814,811,271,295,685,671,581,588,378,369,849,863,503,
508,778,763,463,464,434,440,140,122,392,409, 49, 59,539,537,327,305,
215,240,630,608, 68, 66,186,196, 16)( 4,813,631,285,745,681,791,592,
348,367,549,852,113,506,178,767,253,474,884,430,710,124,812,391,289,
55,689,521,597,318,365,219,870,623,488, 88,756,193,466, 14,423,650,
135,722,411,799, 52,359,517,567,312, 95,236,180,617,248, 84,876,190,
706)( 5,213,660,615,728, 81,786,202,346, 7,543,642,105,746,171,797,
262,354,877,550,702, 94,836,151,287,265,684,881,580,708,364,819,841,
293,505,688,761,583,468,374,429,860,143,482,418,769, 43,479,524,447,
320,125,212,420,619, 38, 89,516,207,316)( 6,183,646, 15,723,651,795,
742,351,787,562,342, 97,566,162,107,266,174,887,250,714,874,820,691,
274,835,661,281,595,678,371,579,858,383,489,868,773,493,478,764,433,
470,134,422,410,139, 32,419,529, 57,329,515,237,330,605,218, 90,606,
188, 76)( 8, 63,636,195,736, 21,783,652,345,727,561,792,112,356,157,
557,252,114,896,160,707,244,834,871,280,715,664,821,571,288,385,669,
851,593,498,388,759,853,473,494,448,770,133,452,404,439, 50,149,512,
417,319, 35,239,540,627,308, 65,216,210,616)( 9,843,653,495,748,771,
793,472,344,427,560,132, 92,416,169, 47,269,534,897,310,695,214,840,
601,278, 85,666,191,586, 18,363,639,855,743,501,808,772,343,457,554,
432,110,146,152,407,259, 54,899,520,717,304,815,211,300,625,668, 71,
576,198,376)( 10,693,634,825,721,291,805,682,341,577,558,372, 99,866,
173,497,268,774,883,460,704,424,830,121,272,415,679, 41,599,528,387,
309,845,233,510,628,758, 73,456,194,436, 20,123,632,405,739, 51,809,
532,357,307,545,222,120,626,158, 77,246,204,886)( 11,573,648,375,729,
861,803,502,358,757,553,462,104,446,170,137,242,414,889, 40,719,514,
837,301,275,235,690,611,578, 78,366,189,856, 23,483,658,765,733,471,
794,442,350,127,542,402,109, 56,179,527,267,324,875,220,720,604,818,
61,276,205,676)( 12, 93,656,165,737,261,804,892,340,697,544,822, 91,
296,175,677,251,594,888,370,699,844,833,481,298,775,673,461,584,438,
380,129,842,413,499, 58,779,523,477,314,425,230,150,602,398, 79, 36,
209,526, 27,303,635,225,750,621,788, 82,336,187,556)( 17,243,654,885,
730,711,784,832,331,277,565,672,101,596,168,377,249,864,893,490,718,
754,823,451,284,445,680,131,572,408,379, 39,869,533,507,328,755,223,
480,614,428, 80,126,182,406, 19, 33,659,525,747,321,785,232,360,607,
548, 72, 96,206,166)( 22,333,637,555,732,111,806,172,347,247,564,882,
100,716,154,827,241,294,895,670,701,574,828,361,279,865,683,491,598,
768,373,459,854,443,500,148,752,403,469, 44,449,530,147,302,395,229,
60,629,518, 87,306,185,226, 30,603,638, 75,726,201,796)
( 25,663,641,585,738,381,789,862,353,487,568,762,103,476,164,437,260,
144,872,400,709, 34,839,511,297,325,665,221,600,618,368, 69,846,203,
496, 28,753,643,465,734,441,800,142,332,397,559, 42,119,536,177,317,
245,234,900,610,698, 64,816,181,286)( 26,153,647,255,744,891,790,712,
334,817,541,282,115,686,161,587,258,384,879,850,713,484,838,751,283,
475,674,431,590,138,362,399,859, 53,509,538,777,313,455,224,450,620,
128, 62,396,199, 46, 29,513,657,315,725,231,810,622,338, 67,546,192,
106), ( 1,672,506, 43, 94, 78,208,743,530,594,479,707,273,156,637,
879,766,825,608,254,362,341,400,841,665,446, 55,304, 82,568,741,230,
597,809,720,123,169, 7,882,496,823, 98,258,182,353,520,864,455,437,
295,306,652,549,771,225,627,794,390,131,409)( 2,342,490,853, 95,438,
205,323,532,564,471,227,297,786,660,129,769, 15,612,494,373,101,408,
181,683,536, 54,454, 77,298,726,650,579,779,705,603,164,367,881,406,
811,668,266, 32,334, 70,868,725,440,595,329,712,543,171,217,897,796,
840,128,259)( 3,162,487,883,106,828,188,263,512,354,460,857,275,426,
655,309,772,555,621,224,387,791,420,121,679, 26, 42,484, 73,118,738,
200,593,539,714,453,167,277,876,646,819,758,255,602,344,370,851,395,
421,685,326, 52,544, 81,238,747,800,600,149,709)( 4, 72,508,733,110,
588,209,713,513,174,457,887,286,816,638,249,752,345,610,854,365,431,
415,301,682,566, 51,214, 87,808,750,140,589, 29,702,483,163, 97,888,
196,833,518,264,452,347,280,846,635,429,775,315,622,554,381,221,417,
781,690,146, 49)( 5,432,505,313,112,558,201,233,537,804,480,137,289,
6,642,489,763,105,618,194,383,521,414,451,677,296, 36,634, 69,778,
735,620,584,389,701,393,151,667,896, 46,814, 68,268,722,350,580,869,
695,423,175,307,892,556,831,218,267,782,360,130,859)( 8,252,482,343,
100,858,185,443,535,324,472,557,291,216,657,789,780,135,619, 14,372,
491,403, 91,678,206, 53,514, 84,478,737,290,576,659,699,753,165,607,
884,376,821,398,241,662,356, 40,844, 65,448,745,320,592,569,711,213,
177,787,900,136,829)( 9,762,495,613,104,378,191,413,511,684,476, 47,
274, 66,658,729,770,585,629,704,363,161,397,871,676,836, 38,244, 62,
358,730,860,575,449,715,303,172,547,891,226,837,788,270,122,349, 10,
852,485,433,115,318,202,563,531,234,477,797,300,126,649)
( 11,402,481,673,116, 48,184, 83,538,744,470,587,299,696,633,159,757,
885,616,824,368,251,392,331,670,866, 35,424, 85,328,742,560,591,239,
717,783,180,127,889, 16,822,488,253, 92,348,190,863,515,444,475,317,
292,546,651,219,777,795,630,134,379)( 12,492,493,103,108,198,203,533,
534,474,467,287,276,636,639,759,765,615,614,374,371,401,391,661,686,
56, 34, 64, 88,748,740,590,599,719,693,153,157,877,886,826,818,248,
242,332,340,850,845,425,445,325,322,562,561,231,237,807,810,150,139,
19)( 13,102,498,193,113,528,204,473,527,294,456,647,279,756,645,609,
764,375,611,404,361,671,416, 31,664, 86, 58,724, 80,598,749,710,573,
179,697,873,166,817,878,256,812,338,250,842,335,430,865,305,442,565,
321,232,567,801,240,147,799, 30,132,499)( 17,282,486,643, 99,768,195,
623,524,384,461,407,271,666,656, 39,754, 75,628,734,380,581,419,691,
663,176, 37,874, 76,838,728,260,572,359,700,843,155,427,895,316,832,
548,261,212,357,790,870,125,439, 25,312,502,553,111,228,207,803,540,
144,469)( 18,192,503,523,114,468,197,293,516,654,459,767,285,606,644,
369,761,405,601,674,386, 41,394, 61,688,746, 50,574, 89,718,723,170,
577,899,706,813,158,247,872,346,820,848,245,422,355,310,862,545,441,
235,327,802,570,141,229, 27,792,510,133,109)( 20,582,509,703, 93,168,
187,893,526,834,458,257,272,336,640,849,755,435,625,314,382,551,411,
211,687,806, 60,124, 79, 28,732,500,583,119,708,183,173,517,894,466,
827,278,246,632,339,760,855,605,434,385,311,412,541,681,236, 57,784,
90,148,739)( 21,222,507,793,120,138,199, 23,522,504,463,107,288,186,
653,519,774,465,617,284,366,641,399,751,675,626, 44,364, 71,418,721,
680,596, 59,694, 63,178,727,890,586,839,698,243,152,337,880,856,815,
428,265,302,352,550,861,215,447,805,330,142,559)( 22,552,501,223,117,
798,210,143,529, 24,462,497,283, 96,648,189,773,525,624,464,377,281,
396,631,669,776, 45,604, 74,388,731,410,571,689,716, 33,154, 67,898,
736,830,578,269,692,333,160,847,875,436,835,308,262,542,351,220,867,
785,450,145,319) ] ],
[ 8, 1186819200, 0, "4c", [ [ 58, 1 ], [ 841, 1 ] ], 1,
"PGL(2, 29) wreath Sym(2)", [ "L", [ 2, 29 ], 2 ],
[ ( 1,767,109,651,332,713,860,725,135,221,408,202,625,524,896,444,153,553,
666, 69)( 2,707,110,741,345,233,858,185,145,521,416,442,603,554,876,
84,151,763,679,639)( 3,557, 96, 81,331,773,859,635,122,701,410,742,
615,224,888,204,175,523,686,429)( 4,287,102,321,338,383,867,245,127,
41,419,472,610,584,886,504,178,823,690,789)( 5,137,101,411,352,623,
854,875,144,161,403,682,609, 14,887,114,171,343,683,849)
( 6, 77, 91,771,349,653,842,695,140,731,405,232,618,194,895,534,176,
433,663,549)( 7, 47,119,471,340,593,856,485,148,821,420,802,604,284,
882,324,158,373,687,249)( 8,377,117,261,337, 53,869,455,130,581,406,
502,628,824,900,804,154,283,672,309)( 9, 17,107,111,351,353,863,845,
125,131,401,412,622,614,884,894,174,163,673,669)( 10,587,106,501,358,
833,870,785,124,281,402,322,608,374,897,264,157, 43,689,459)
( 11,407,112,621,344,893,864,155,133,671,399, 22,617,104,891,354,173,
853,665,129)( 12,317, 98,381,357,263,847, 35,149,461,400,592,616,494,
898,834,180,793,664,279)( 13,677, 99, 21,347,113,861,335,143,851,395,
142,611,404,892,624,164,883,684,159)( 15,227,108,201,355,533,866,425,
123,551,396, 82,601,764,889,654,152,703,680,729)( 16,497,118,831,360,
803,844,275,132,311,398,382,627,254,877, 54,179,463,670,579)
( 18,197,115,531,356,443,843,545,126, 71,391,772,619,644,872,714,170,
733,675,219)( 19,647, 92,711,350,743,855,215,138,191,415,532,626,434,
873,564,156, 73,661,759)( 20,737,105,231,348,203,865,515,146,431,393,
562,606, 74,871,774,169,643,662,699)( 23,857, 95,141,341,413,862,605,
134,881,414,172,613,674,879, 24,167,103,681,339)( 25,527,116,441,333,
563,846, 65,121,761,409,652,602,704,890,744,165,223,678,189)
( 26,437, 93,561,336, 83,841,755,139,641,392,712,620,734,885,234,168,
193,685,519)( 27,257, 97, 51,359,473,850,575,136,491,418,832,630,794,
874,294,162,313,668,369)( 28,827,120,801,334,293,852,305,128,371,417,
262,607, 44,899,474,160,583,676,489)( 29,467,100,591,346,503,868,815,
150,791,394,292,612,314,878,384,177,253,667, 39)( 30,797, 94,291,342,
323,848,365,147,251,397, 52,629,464,880,594,166,493,688,819)
( 31,779,469,640,572,706,500,748,825,240,798,184,295,522,326,428,363,
567,246, 67)( 32,719,470,730,585,226,498,208,835,540,806,424,273,552,
306, 68,361,777,259,637)( 33,569,456, 70,571,766,499,658,812,720,800,
724,285,222,318,188,385,537,266,427)( 34,299,462,310,578,376,507,268,
817, 60,809,454,280,582,316,488,388,837,270,787)( 36, 89,451,760,589,
646,482,718,830,750,795,214,288,192,325,518,386,447,243,547)
( 37, 59,479,460,580,586,496,508,838,840,810,784,274,282,312,308,368,
387,267,247)( 38,389,477,250,577, 46,509,478,820,600,796,484,298,822,
330,788,364,297,252,307)( 40,599,466,490,598,826,510,808,814,300,792,
304,278,372,327,248,367, 57,269,457)( 42,329,458,370,597,256,487, 58,
839,480,790,574,286,492,328,818,390,807,244,277)( 45,239,468,190,595,
526,506,448,813,570,786, 64,271,762,319,638,362,717,260,727)
( 48,209,475,520,596,436,483,568,816, 90,781,754,289,642,302,698,380,
747,255,217)( 49,659,452,700,590,736,495,238,828,210,805,514,296,432,
303,548,366, 87,241,757)( 50,749,465,220,588,196,505,538,836,450,783,
544,276, 72,301,758,379,657,242,697)( 55,539,476,430,573,556,486, 88,
811,780,799,634,272,702,320,728,375,237,258,187)( 56,449,453,550,576,
76,481,778,829,660,782,694,290,732,315,218,378,207,265,517)
( 61,751,769,649,632,692,710,740,735,225,228,198,205,535,536,446,423,
543,546, 66)( 62,691,770,739,645,212,708,200,745,525,236,438,183,565,
516, 86,421,753,559,636)( 63,541,756, 79,631,752,709,650,722,705,230,
738,195,235,528,206,445,513,566,426)( 75,211,768,199,655,512,716,440,
723,555,216, 78,181,775,529,656,422,693,560,726)( 80,721,765,229,648,
182,715,530,746,435,213,558,186, 85,511,776,439,633,542,696),
( 1,859,420,712, 51,451,889,240,532, 81)( 2,845,416,699, 48,452,875,
236,519, 78)( 3,865,396,714, 34,453,895,216,534, 64)
( 4,843,415,696, 54,454,873,235,516, 84)( 5,866,399,708, 32,455,896,
219,528, 62)( 6,864,394,693, 55,456,894,214,513, 85)
( 7,856,419,710, 53,457,886,239,530, 83)( 8,867,403,701, 45,458,897,
223,521, 75)( 9,858,392,695, 56,459,888,212,515, 86)
( 10,854,402,718, 47,460,884,222,538, 77)( 11,855,398,717, 43,461,885,
218,537, 73)( 12,868,407,700, 44,462,898,227,520, 74)
( 13,851,405,698, 57,463,881,225,518, 87)( 14,852,418,707, 40,464,882,
238,527, 70)( 15,848,417,703, 41,465,878,237,523, 71)
( 16,869,410,713, 37,466,899,230,533, 67)( 17,850,404,702, 58,467,880,
224,522, 88)( 18,842,395,716, 39,468,872,215,536, 69)
( 19,870,412,711, 31,469,900,232,531, 61)( 20,863,397,706, 59,470,893,
217,526, 89)( 21,841,409,720, 52,471,871,229,540, 82)
( 22,861,391,709, 60,472,891,211,529, 90)( 23,847,406,719, 50,473,877,
226,539, 80)( 24,844,393,715, 36,474,874,213,535, 66)
( 25,846,414,694, 33,475,876,234,514, 63)( 26,849,408,692, 35,476,879,
228,512, 65)( 27,853,401,705, 38,477,883,221,525, 68)
( 28,857,400,704, 42,478,887,220,524, 72)( 29,860,413,697, 46,479,890,
233,517, 76)( 30,862,411,691, 49,480,892,231,511, 79)
( 91,379,450,592,681,151,289,150,742,321)( 92,365,446,579,678,152,275,
146,729,318)( 93,385,426,594,664,153,295,126,744,304)
( 94,363,445,576,684,154,273,145,726,324)( 95,386,429,588,662,155,296,
129,738,302)( 96,384,424,573,685,156,294,124,723,325)
( 97,376,449,590,683,157,286,149,740,323)( 98,387,433,581,675,158,297,
133,731,315)( 99,378,422,575,686,159,288,122,725,326)
(100,374,432,598,677,160,284,132,748,317)(101,375,428,597,673,161,285,
128,747,313)(102,388,437,580,674,162,298,137,730,314)
(103,371,435,578,687,163,281,135,728,327)(104,372,448,587,670,164,282,
148,737,310)(105,368,447,583,671,165,278,147,733,311)
(106,389,440,593,667,166,299,140,743,307)(107,370,434,582,688,167,280,
134,732,328)(108,362,425,596,669,168,272,125,746,309)
(109,390,442,591,661,169,300,142,741,301)(110,383,427,586,689,170,293,
127,736,329)(111,361,439,600,682,171,271,139,750,322)
(112,381,421,589,690,172,291,121,739,330)(113,367,436,599,680,173,277,
136,749,320)(114,364,423,595,666,174,274,123,745,306)
(115,366,444,574,663,175,276,144,724,303)(116,369,438,572,665,176,279,
138,722,305)(117,373,431,585,668,177,283,131,735,308)
(118,377,430,584,672,178,287,130,734,312)(119,380,443,577,676,179,290,
143,727,316)(120,382,441,571,679,180,292,141,721,319)
(181,799,660,772,261,331,499,570,832,621)(182,785,656,759,258,332,485,
566,819,618)(183,805,636,774,244,333,505,546,834,604)
(184,783,655,756,264,334,483,565,816,624)(185,806,639,768,242,335,506,
549,828,602)(186,804,634,753,265,336,504,544,813,625)
(187,796,659,770,263,337,496,569,830,623)(188,807,643,761,255,338,507,
553,821,615)(189,798,632,755,266,339,498,542,815,626)
(190,794,642,778,257,340,494,552,838,617)(191,795,638,777,253,341,495,
548,837,613)(192,808,647,760,254,342,508,557,820,614)
(193,791,645,758,267,343,491,555,818,627)(194,792,658,767,250,344,492,
568,827,610)(195,788,657,763,251,345,488,567,823,611)
(196,809,650,773,247,346,509,560,833,607)(197,790,644,762,268,347,490,
554,822,628)(198,782,635,776,249,348,482,545,836,609)
(199,810,652,771,241,349,510,562,831,601)(200,803,637,766,269,350,503,
547,826,629)(201,781,649,780,262,351,481,559,840,622)
(202,801,631,769,270,352,501,541,829,630)(203,787,646,779,260,353,487,
556,839,620)(204,784,633,775,246,354,484,543,835,606)
(205,786,654,754,243,355,486,564,814,603)(206,789,648,752,245,356,489,
558,812,605)(207,793,641,765,248,357,493,551,825,608)
(208,797,640,764,252,358,497,550,824,612)(209,800,653,757,256,359,500,
563,817,616)(210,802,651,751,259,360,502,561,811,619) ] ],
[9, Factorial(900)/2,1,"2",[[899,1]],898, "Alt(900)", ["A",900, 1], "Alt"],
[10, Factorial(900),0,"2",[[899, 1]],900, "Sym(900)", ["A",900, 1], "Sym"]];
PRIMGRP[901]:=
[[1, Factorial(901)/2,1,"2",[[900,1]],899, "Alt(901)", ["A",901, 1], "Alt"],
[2, Factorial(901),0,"2",[[900, 1]],901, "Sym(901)", ["A",901, 1], "Sym"]];
PRIMGRP[902]:=
[[1, Factorial(902)/2,1,"2",[[901,1]],900, "Alt(902)", ["A",902, 1], "Alt"],
[2, Factorial(902),0,"2",[[901, 1]],902, "Sym(902)", ["A",902, 1], "Sym"]];
PRIMGRP[903]:=
[[ 1, 39732, 1, "2", [ [ 44, 10 ], [ 11, 2 ], [ 22, 20 ] ], 1, "PSL(2, 43)",
[ "L", [ 2, 43 ], 1 ],
[ ( 1,220,370,834,369,499,593,689, 31,160,840, 95,306,328,168, 79, 72,215,
560,738,173,737)( 2,341,147,456,468,122,589,513,584,781,558,264,883,
892,125,699,153,506,530,482,271,354)( 3,203,270,639,603,396,423,541,
848,128,399,246,192,648,741,359,758,773,752,257,882,614)
( 4,405,324,873,670,829,383,671,444,598, 69,794,185,797,636,585,826,
588,329,190,313,538)( 5, 68,312, 44,300,360,596,416,859,441,559,667,
625,467, 91,653,194,654,688,770,316,186)( 6,766,511,483,674,505,707,
839,314,583,258,644,568,680,165,843,242,488,512,552, 59,582)
( 7,824, 58,694,815,693,420,852,660,361,591,195,643,575,394,238,574,
62,366,790,261,599)( 8, 21,428,241,608,465,536,516,267,631,464, 17,
831,611,126,252, 38,244,565,543,647, 70)( 9,323,393,301,325,846, 34,
717,240,493,406,729,155,702,245,642,527, 96,243,169,434,305)
( 10,417,872,675,293,728,669,375,566,748, 37, 84,823,474,462,158,832,
45,903,704,510,303)( 11,495,509,377,222,337,782,167,218,454,779)
( 12,170,556,751, 35,504,520,221,880, 61,901,130,389,658,362,157,275,
726,876,109,116,645)( 13,352,529,526,309, 74, 99,304,171,817,672, 39,
828,857,433,431,714,345,712,372,746,437)( 14,902,426,864,295,398,384,
187, 73,551,615,604,630,205,448,802,154,886,102,756,787, 66)
( 15,885,331,666,207,739,634,866,898, 40,107,146,743,736,816,657, 51,
435,900,139,249,230)( 16,334,248,145,753,805,813,757,179,120,368)
( 18,265,421, 20,814,347, 19,649,796,607,390,254,812,272,863,227,542,
502, 94,799,374, 98)( 22,322,854,280,162, 92, 77,788,638,484,291,111,
60,446,391,317,503,115,682,105,801,868)( 23,778,800,174,783,609,750,
473,458,273,720,253,338,189,268,181,535,332,477,127,471,175)
( 24,722,490,239, 65, 26,767,710,836,206,532,709,819,274,199,881,684,
452,807,447,208,110)( 25,277, 85,478,572,339,595,624,260,486,619,508,
698,201,385,550,661,701,851, 43,867,224)( 27,449,403,518,651,833,470,
894,211,795,784,730,235,683,524,592,492,422,184,656,830,378)
( 28,860,236,870,837,895,838,626,616,888,250,285,350,899,855,681,142,
76, 56,414,461,121)( 29,610,455,594,166,256, 47,546,476,528,119,263,
198,410,315,862,219,214,308,759,149,711)( 30,439,768,703, 64,376,716,
487,279,765,586,606,879,861,296,288,283,578,734,853,804,191)
( 32,786, 90,562,442,355,415,659,188,294,282,713,281, 48,365,148,140,
371,557,525, 81,234)( 33,382,225,637,233,307,387,228,553,438,754,114,
732,419,124,402, 53,733,425,223,466,445)( 36,144,640,182,450,485,613,
646,695,358,178,858,845,357,809, 41,319,135,251,172,515,517)
( 42,507,821,472,877, 67,605,755,841,152,367,342,573,745,744,299,106,
80,820,451,531,202)( 46,652,457,544,411,196,533,590,180,731,481,576,
612,889,343,718,101,822,686,785,496,655)( 49,548,321,151,344,791,336,
217, 97,842,884,351,134,792,326,780,844,561,897, 71,287,298)
( 50,429,687,163,292,424,330,602,775,427, 75,356,697,798,409,764,193,
266, 55,401,677,209)( 52,276,540,793,395, 93,676,408,247,407,806,662,
537,878,104,869,297,896,489,749,632,100)( 54,665,123, 78,469,161,318,
571,641,216,893,522,501,136,742,286,453,825, 89,340,460,810)
( 57,226,302,723,117,664,735,725,691,210,131,480,668,397,523,418,500,
432,696,491,519,622)( 63,850,237,747,579,534,891,545,827,310,463,113,
388,430,183,554,143,620,159,635,629,459)( 82,776,381,849,443,692,708,
118,789,327,475,133,547,581,563, 88,762,715,727,284,156,597)
( 83,231,627,138,255,392,663,333,724,112,760,587,349,278,348,628,570,
865,176,555,229,564)( 86,497,373,685,772,514,289,774,164,137,705,521,
141,679,364,617,335,856,413,577, 87,232)(103,380,623,200,129,108,601,
875,262,621,567,650,494,706,887,618,890,678,539,835,412,150)
(132,212,690,847,633,400,871,761,353,290,436,771,269,498,440,811,580,
197,311,379,719,386)(177,259,569,363,404,479,763,673,769,777,721,600,
700,320,874,808,803,549,204,818,213,346),
( 1, 57, 33,546,338,545,289,408,308,616, 85,593,786,120,283,366,475,
700,605,368,282)( 2,609,716,629,617,106,104,482,291,445,422,640,501,
62,779,320,469,182,151,888,391)( 3,567,488,292,407,748,555,647,337,
765,589,364,493,502,763,124,665,250,134,483,863)( 4,850,244,755,438,
294,698,237, 36,119,154,578,170,568,833,417,777,174, 47,849,798)
( 5,684,867,251,412,883,631,544,730,225, 21,453,538,890,145,473,703,
257,872,789,143)( 6,259,830,264,287,171,727,743,213,620,148, 20,334,
275,823,439,576,761,209,685,178)( 7,362,886,194,635, 72,539,492,113,
373,344,706,306,335,625,726,787,769,114,649,414)( 8,687,669,720,865,
512,150,710, 18,258,211,466,286,142, 58,799,155,459,892,745,222)
( 9,144,376,220,448,116,499, 80,450,305,535,563,827,349,844,740,651,
427,514,708,793)( 10,689,548,386,327,536,263,128,115, 55,478,534,198,
95,866,394,600,690,190,835,314)( 11,800,550, 64,627,738,871,734,592,
75,549,667,814,122,157,446,204,388,881,806,736)( 12,878,824,887,637,
205,201,341,265,581,340,118,272,530,480,645,895,678,673,750,630)
( 13,404,821,688, 52, 94,127,559,804,815,746,644,848,173,705,387,236,
747, 31,110,511)( 14,479,652,377,245, 60,717,782,533,694,389,356,573,
419,383,770,441,598, 76,586,760)( 15,232,707,664,642,343, 26,270,718,
34, 43,839,183, 51,506,902,882,898,206,130,147)( 16,776,193,465,252,
392,284,179,379,583,868, 99,819,247, 44,253,773,433,280,674,498)
( 17,513,650,358,117,648,596,577,547,474,532,451,537,805,618,826, 54,
543,838,842,411)( 19,540,470,189, 30,671,856,561,672,518,159,444, 42,
676,326,332,796,697,277,226,112)( 22,336,739,496, 89,165,169,610,517,
751,233,843,749,108,565,758,691,420,486,879,531)( 23, 59,837,551,613,
455,393,582,460,731,146,524,854,768,367,418,569,661,274,428,129)
( 24,541,319,361,214,602,695,471,857,293,382,168,626, 84,304,100,172,
348,476,346,858)( 25,191,659,325, 96,442,507,302,218, 45,611,855,579,
623,400,875,137, 53,516,510,495)( 27,584, 49,852,680,135,463, 83,847,
686,202,675,102,757,254,557,413,591,207,381,828)( 28,261,231, 46,500,
435, 78,679,662, 69, 48, 97,184, 37,416,762,519,813,638,175,901)
( 29,509, 35,406,397,276,217, 56,153,415,333,607,900,467,101,733,562,
359,351,636,372)( 32,398,682,212,646,423,774,318,893,891,722,515,290,
77,221,713,345,634,597,107,526)( 38,369,166,216,378,560,783,323,330,
105,525,816,161,778,845,801,339,350,384,818,447)( 39,203,322,767,817,
360,812, 86,301,163,894,831,385,131,267,792,176,243,430,421, 68)
( 40,215,410,164,622,138,788,208,315,126,133,771,656,737,158,505,494,
329,353,790,803)( 41,489,522,331,365, 92,628,434,869,840,298,571,711,
370,608,399,195,520,425,491,162)( 50,797,240,601,196,704,429, 91,229,
903,457,200,702,324,564,558,452,342,606,192,781)( 61, 93,403,316,809,
357,859,897,268,864,246,566,658, 98,185,580,873,227, 66,375,807)
( 63,136,230,260,590,677,721,553,426,632,503,248,572,443,186,728,321,
235, 81,829,458)( 65,312,725,363,588,285,885,719,307,870,269,657,223,
313,693,701,300,639,552,464,242)( 67,876,862,485,521,668, 90,121,288,
241,141,585,724,715,759,297,599,462,780,766,604)( 70,615,279,310,299,
655,374,149,424,449,317,484, 71,570,256,542,180,487,772,744,556)
( 73,167,594,352,405,795,199,188,899,889,653,249,347,409,355,456,732,
683,477,508,729)( 74,764,836,140,371,614,663,431,554,354,785,402,523,
574,753,874,619,681,481,271, 87)( 79,754,699,670,794,468,461,328,504,
692,181,853,109,775,641,278,802,472,395, 88,187)( 82,156,624,311,152,
696,752,436,234,266,810,834,825,255,281,132,709,595,861,440,432)
(103,660,880,437,295,177,621,528,197,228,712,612,123,841,296,742,822,
529,860,811,219)(111,756,125,390,654,575,587,791,877,633,160,401,820,
210,896,454,666,273,741,497,643)(139,714,735,380,527,808,784,490,603,
723,303,832,224,239,396,884,238,846,262,851,309) ] ],
[ 2, 79464, 0, "2", [ [ 44, 20 ], [ 22, 1 ] ], 1, "PGL(2, 43)",
[ "L", [ 2, 43 ], 1 ],
[ ( 1, 2, 4, 8, 15, 28, 51, 93,166,283,449,416,615,799,833,501,580,771,
810,884,812,109,194,326,507,219,273,435,637,146,252, 69,125,220,361,
552, 91,163,278,441,644,803)( 3, 6, 12, 22, 41, 75,136,236,382,460,
663,646,105,187,314,490,693,841,889,353,543,737,347,535,277,377,115,
203,339,523,722,854,495,696,632,814,370,565,379,576,765,213)
( 5, 10, 19, 35, 64,116,204,341,526,723,137,237,304,479,681,776,738,
860,881,900,657,128,225,369,563,754,261,171,289,459,661,828,892,852,
551,745,864, 20, 37, 68,123,216)( 7, 14, 26, 29, 53, 97,173,207,345,
531,337,520,567,758, 74,135,234, 46, 84,101,180,303,457,659,485,672,
836,890,902,779,853,746,866,834,894,888,149,257,221,363,297,471)
( 9, 17, 32, 58,106,189,317,493,134,183,307,482,687,619,805,880, 36,
66,120,210,348,506,461,335,518,717,162,276,439,259,415,608,527,725,
606,792,424,623,587,403,605,698)( 11, 21, 39, 71,129,226,371,494,695,
809,887,713,851,103,184,309,126,222,364, 31, 57,104,185,311,483,155,
215,356,231,376,573,764,392,593,325,505,290,313, 23, 43, 79,143)
( 13, 24, 45, 82,148,255,411,613,797,368,562,753,190,319,496,697, 48,
88,158,270,431,284,451,650,824,891,542,329,322,500,701,843,302,478,
682,636,227,373,569,618,804,727)( 16, 30, 55,100,178,300,475,589,664,
721,139,241,389,590,744,863,807,796,761,875,835,719,265,423,502,703,
822,886,831,816,238,385,584,692,770,845,181,229, 80,145,250,402)
( 18, 34, 62, 42, 77,140,242,391,570,710,848,224,327,509,708,519,684,
773, 50, 92,165,281,446,578,769,406,607,564,755,871,559,751,869,344,
530,730,175,295,467,386,586,266)( 25, 47, 86,154,264,422,169,287,456,
658,827,315,491,458,660,625,465,669,662, 78,142,205,342,144,248,399,
410,612,546,199,334,517,716,275,438,641,174,293,464,667,549,676)
( 27, 49, 90,161,274,436,638,649,691,706,508,421,111,197,246,318,442,
592,780,775,878,445,629,179,301, 67,122,214,354,545,740,497,699,594,
781,879,702,813,705,837,778,724)( 33, 60,110,195,328,511,634,655,826,
544,739,707,840,874,639,788,870,390,591,668,626,516,715,463,666,470,
622,332,398,365,556,749,867,842,898, 87,156,267,425,624,808, 98)
( 38, 70,127,223,366,558, 96,172,130,228,375,571,472,677,817,522,700,
844,310,400,602,787, 61,112,132,232,378,575, 54, 99,176,296,469,675,
56,102,182,305,468,673,838,896)( 40, 73,133,152,260,417,515,714,601,
786,355,412,437,640,748,480,279,443,645,331,514, 76,138,239,177,298,
44, 81,147,253,407,609,793,883,188,316,492,694,614,798,553,747)
( 52, 95,170,288,320,498,642,819,473,678,772,581,151,141,244,394,595,
397,600,647,159,235,381,579,621,408,192,323,440,643,821,384,306,268,
427,476,680,186,312,488,198,333)( 59,108,193,324,503, 63,114,201,336,
428,627,374,453,652,825,254,409,611,795,735,855,164,280,444, 83,150,
258,413, 65,118,208,346,533,732,858,899,686,815,603,789,882,388)
( 72,131,230,117,206,167,285,452,651,783,679,818,528,726,856,729,299,
474,426,504,704,768,846,430,630,263,420,620,806,351,541,124,218,359,
550,743,486,689,583,670,383,582)( 85,153,262,419,217,357,548,742,862,
901,774,832,850,756,256,340,524,358,211,350,539,271,432,631,251,404,
597,196,330,512,532,731,674,718,741,568,760,785,762,599,450,536)
( 89,160,272,433,633,233,380,577,767,830,547,711,849,561,752,113,200,
121,212,352, 94,168,286,454,654,720,510,709,477,574,585,414,240,387,
588,777,489,648,823,395,596,782)(107,191,321,499,487,690,801,247,282,
245,396,598,784,873,895,525,534,343,529,728,857,481,685,294,466,671,
791,405,447,393,557,750,868,847,367,560,683,820,885,865,119,209)
(157,269,429,628,811,448,434,635,540,734,794,759,566,757,872,610,538,
202,338,521,243)(249,401,604,790,418,617,802,372,513,712,362,554,572,
763,876,555,736,859,861,839,897,308,484,688,616,800,292,462,665,829,
893,903,349,537,733,360,291,455,656,766,877,653),
( 1, 3, 7)( 2, 5, 11)( 4, 9, 18)( 6, 13, 25)( 8, 16, 31)
( 10, 20, 38)( 12, 23, 44)( 14, 27, 50)( 15, 29, 54)( 17, 33, 61)
( 19, 36, 67)( 21, 40, 74)( 22, 42, 78)( 24, 46, 85)( 26, 48, 89)
( 28, 52, 96)( 30, 56,103)( 32, 59,109)( 34, 63,115)( 35, 65,119)
( 37, 69,126)( 39, 72,132)( 41, 76,139)( 43, 80,146)( 45, 83,151)
( 47, 87,157)( 49, 91,164)( 51, 94,169)( 53, 98,175)( 55,101,181)
( 57,105,188)( 58,107,192)( 60,111,198)( 62,113,178)( 64,117,207)
( 66,121,213)( 68,124,219)( 70,128, 81)( 71,130,229)( 73,134,233)
( 75,137,238)( 77,141,245)( 79,144,249)( 82,149,168)( 84,152,261)
( 86,155,266)( 88,159,108)( 90,162,277)( 92,122,215)( 93,167,216)
( 95,171,290)( 97,174,294)( 99,177,299)(100,179,302)(102,183,308)
(104,186,313)(106,190,320)(110,196,331)(112,199,118)(114,202,262)
(116,205,343)(120,211,351)(123,217,358)(125,221,314)(127,224,368)
(129,227,374)(131,231,377)(133,163,279)(135,235,136)(138,240,388)
(140,243,393)(142,246,397)(143,247,398)(145,251,405)(147,254,410)
(148,256,412)(150,259,416)(153,263,421)(154,265,424)(156,268,428)
(158,271,303)(160,273,422)(161,275,394)(165,282,448)(166,284,328)
(170,232,379)(172,291,461)(173,292,463)(176,297,472)(180,304,480)
(182,306,435)(184,310,486)(185,237,384)(187,315,270)(189,318,495)
(191,322,501)(193,325,506)(194,327,510)(195,329,204)(197,332,515)
(200,335,443)(201,337,401)(203,340,525)(206,344,484)(208,347,536)
(209,220,362)(210,349,538)(212,353,544)(214,355,546)(218,360,530)
(222,365,557)(223,367,561)(225,370,566)(226,372,568)(228,301,477)
(230,323,502)(234,264,348)(236,383,583)(239,386,587)(241,390,462)
(242,392,594)(244,395,597)(248,400,603)(250,403,606)(252,406,608)
(253,408,610)(255,341,527)(257,391,592)(258,414,614)(260,418,618)
(267,426,626)(269,430,615)(272,434,636)(274,437,556)(276,440,613)
(278,442,503)(280,445,474)(281,447,647)(283,450,649)(285,453,653)
(286,455,657)(287,457,482)(288,458,524)(289,460,664)(293,465,670)
(295,468,674)(296,470,404)(298,473,679)(300,476,681)(305,481,686)
(307,483,444)(309,485,645)(311,487,691)(312,489,604)(316,420,621)
(317,494,591)(319,497,700)(321,407,560)(324,504,705)(326,508,631)
(330,513,713)(333,516,409)(334,364,555)(336,519,719)(338,522,721)
(339,441,552)(342,528,727)(345,532,493)(346,534,558)(350,540,735)
(352,542,521)(354,411,378)(356,547,741)(357,549,643)(359,551,746)
(361,553,389)(363,471,595)(366,559,731)(369,564,756)(371,567,759)
(373,570,689)(375,572,491)(376,574,588)(380,578,770)(381,580,772)
(382,581,659)(385,585,775)(387,589,778)(396,599,402)(399,601,699)
(413,520,720)(415,602,788)(417,616,801)(419,619,452)(423,622,533)
(425,625,810)(427,436,639)(429,629,813)(431,630,517)(432,632,815)
(433,634,565)(438,446,646)(439,642,820)(449,648,509)(451,554,748)
(454,655,620)(456,623,807)(459,662,830)(464,668,833)(466,672,837)
(467,656,579)(469,676,790)(475,667,832)(478,683,771)(479,684,739)
(488,692,563)(490,633,805)(492,677,704)(496,698,828)(498,550,744)
(499,673,767)(500,702,845)(505,706,847)(507,707,804)(511,710,754)
(512,711,764)(514,644,822)(518,718,853)(523,685,548)(526,724,665)
(529,729,752)(531,703,846)(535,733,701)(537,640,750)(539,638,818)
(541,736,652)(543,738,757)(545,576,766)(562,708,838)(569,761,784)
(571,762,867)(573,743,854)(575,635,816)(577,768,728)(582,773,824)
(584,774,660)(586,776,862)(590,779,856)(593,658,607)(596,783,826)
(598,725,651)(600,785,654)(605,791,806)(609,794,819)(611,796,848)
(612,627,793)(617,803,885)(624,809,717)(628,812,726)(637,817,888)
(641,723,849)(650,671,835)(661,829,780)(663,831,798)(666,765,868)
(669,834,895)(675,777,879)(678,839,871)(680,763,709)(682,840,892)
(687,734,800)(688,696,843)(690,693,842)(694,792,755)(695,753,797)
(697,714,742)(712,850,799)(715,827,811)(716,852,857)(722,855,769)
(730,786,869)(732,858,900)(737,814,787)(740,861,841)(745,865,789)
(747,760,874)(749,863,899)(751,870,894)(758,873,878)(781,880,864)
(782,881,897)(795,876,902)(802,884,901)(808,886,893)(821,889,844)
(823,890,882)(825,891,851)(836,887,872)(859,877,875)(860,896,883)
(866,898,903) ] ],
[ 3, 30207631531686917818677566034256998753632256000000000, 1, "2",
[ [ 82, 1 ], [ 820, 1 ] ], 1, "Alt(43)", [ "A", 43, 1 ],
[ ( 2, 3, 5, 8, 12, 17, 23, 30, 38, 47, 57, 68, 80, 93,107,122,138,155,
173,192,212,233,255,278,302,327,353,380,408,437,467,498,530,563,597,
632,668,705,743,782,822)( 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79,
92,106,121,137,154,172,191,211,232,254,277,301,326,352,379,407,436,
466,497,529,562,596,631,667,704,742,781,821,862,903)( 6, 10, 15, 21,
28, 36, 45, 55, 66, 78, 91,105,120,136,153,171,190,210,231,253,276,
300,325,351,378,406,435,465,496,528,561,595,630,666,703,741,780,820,
861,902,863)( 9, 14, 20, 27, 35, 44, 54, 65, 77, 90,104,119,135,152,
170,189,209,230,252,275,299,324,350,377,405,434,464,495,527,560,594,
629,665,702,740,779,819,860,901,823,864)( 13, 19, 26, 34, 43, 53, 64,
76, 89,103,118,134,151,169,188,208,229,251,274,298,323,349,376,404,
433,463,494,526,559,593,628,664,701,739,778,818,859,900,783,824,865)
( 18, 25, 33, 42, 52, 63, 75, 88,102,117,133,150,168,187,207,228,250,
273,297,322,348,375,403,432,462,493,525,558,592,627,663,700,738,777,
817,858,899,744,784,825,866)( 24, 32, 41, 51, 62, 74, 87,101,116,132,
149,167,186,206,227,249,272,296,321,347,374,402,431,461,492,524,557,
591,626,662,699,737,776,816,857,898,706,745,785,826,867)
( 31, 40, 50, 61, 73, 86,100,115,131,148,166,185,205,226,248,271,295,
320,346,373,401,430,460,491,523,556,590,625,661,698,736,775,815,856,
897,669,707,746,786,827,868)( 39, 49, 60, 72, 85, 99,114,130,147,165,
184,204,225,247,270,294,319,345,372,400,429,459,490,522,555,589,624,
660,697,735,774,814,855,896,633,670,708,747,787,828,869)
( 48, 59, 71, 84, 98,113,129,146,164,183,203,224,246,269,293,318,344,
371,399,428,458,489,521,554,588,623,659,696,734,773,813,854,895,598,
634,671,709,748,788,829,870)( 58, 70, 83, 97,112,128,145,163,182,202,
223,245,268,292,317,343,370,398,427,457,488,520,553,587,622,658,695,
733,772,812,853,894,564,599,635,672,710,749,789,830,871)
( 69, 82, 96,111,127,144,162,181,201,222,244,267,291,316,342,369,397,
426,456,487,519,552,586,621,657,694,732,771,811,852,893,531,565,600,
636,673,711,750,790,831,872)( 81, 95,110,126,143,161,180,200,221,243,
266,290,315,341,368,396,425,455,486,518,551,585,620,656,693,731,770,
810,851,892,499,532,566,601,637,674,712,751,791,832,873)
( 94,109,125,142,160,179,199,220,242,265,289,314,340,367,395,424,454,
485,517,550,584,619,655,692,730,769,809,850,891,468,500,533,567,602,
638,675,713,752,792,833,874)(108,124,141,159,178,198,219,241,264,288,
313,339,366,394,423,453,484,516,549,583,618,654,691,729,768,808,849,
890,438,469,501,534,568,603,639,676,714,753,793,834,875)
(123,140,158,177,197,218,240,263,287,312,338,365,393,422,452,483,515,
548,582,617,653,690,728,767,807,848,889,409,439,470,502,535,569,604,
640,677,715,754,794,835,876)(139,157,176,196,217,239,262,286,311,337,
364,392,421,451,482,514,547,581,616,652,689,727,766,806,847,888,381,
410,440,471,503,536,570,605,641,678,716,755,795,836,877)
(156,175,195,216,238,261,285,310,336,363,391,420,450,481,513,546,580,
615,651,688,726,765,805,846,887,354,382,411,441,472,504,537,571,606,
642,679,717,756,796,837,878)(174,194,215,237,260,284,309,335,362,390,
419,449,480,512,545,579,614,650,687,725,764,804,845,886,328,355,383,
412,442,473,505,538,572,607,643,680,718,757,797,838,879)
(193,214,236,259,283,308,334,361,389,418,448,479,511,544,578,613,649,
686,724,763,803,844,885,303,329,356,384,413,443,474,506,539,573,608,
644,681,719,758,798,839,880)(213,235,258,282,307,333,360,388,417,447,
478,510,543,577,612,648,685,723,762,802,843,884,279,304,330,357,385,
414,444,475,507,540,574,609,645,682,720,759,799,840,881)
(234,257,281,306,332,359,387,416,446,477,509,542,576,611,647,684,722,
761,801,842,883,256,280,305,331,358,386,415,445,476,508,541,575,610,
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( 8, 13, 16)( 12, 18, 22)( 17, 24, 29)( 23, 31, 37)( 30, 39, 46)
( 38, 48, 56)( 47, 58, 67)( 57, 69, 79)( 68, 81, 92)( 80, 94,106)
( 93,108,121)(107,123,137)(122,139,154)(138,156,172)(155,174,191)
(173,193,211)(192,213,232)(212,234,254)(233,256,277)(255,279,301)
(278,303,326)(302,328,352)(327,354,379)(353,381,407)(380,409,436)
(408,438,466)(437,468,497)(467,499,529)(498,531,562)(530,564,596)
(563,598,631)(597,633,667)(632,669,704)(668,706,742)(705,744,781)
(743,783,821)(782,823,862)(822,863,903) ] ],
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[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
91,101,111,122,133,145,157,170,183,197,211,226,241,257,273,290,307,
325,343,362,381,401,421,442,463)( 4, 6, 8, 11, 14, 18, 22, 27, 32,
38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,184,198,
212,227,242,258,274,291,308,326,344,363,382,402,422,443,464,486,485)
( 9, 12, 15, 19, 23, 28, 33, 39, 45, 52, 59, 67, 75, 84, 93,103,113,
124,135,147,159,172,185,199,213,228,243,259,275,292,309,327,345,364,
383,403,423,444,465,487,508,507,529)( 16, 20, 24, 29, 34, 40, 46, 53,
60, 68, 76, 85, 94,104,114,125,136,148,160,173,186,200,214,229,244,
260,276,293,310,328,346,365,384,404,424,445,466,488,509,531,530,551,
573)( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,
161,174,187,201,215,230,245,261,277,294,311,329,347,366,385,405,425,
446,467,489,510,532,553,552,574,595,617)( 36, 42, 48, 55, 62, 70, 78,
87, 96,106,116,127,138,150,162,175,188,202,216,231,246,262,278,295,
312,330,348,367,386,406,426,447,468,490,511,533,554,576,575,596,618,
639,661)( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,189,
203,217,232,247,263,279,296,313,331,349,368,387,407,427,448,469,491,
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118,129,140,152,164,177,190,204,218,233,248,264,280,297,314,332,350,
369,388,408,428,449,470,492,513,535,556,578,599,621,620,641,663,684,
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249,265,281,298,315,333,351,370,389,409,429,450,471,493,514,536,557,
579,600,622,643,642,664,685,707,728,750,771,790)(100,110,120,131,142,
154,166,179,192,206,220,235,250,266,282,299,316,334,352,371,390,410,
430,451,472,494,515,537,558,580,601,623,644,666,665,686,708,729,751,
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300,317,335,353,372,391,411,431,452,473,495,516,538,559,581,602,624,
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194,208,222,237,252,268,284,301,318,336,354,373,392,412,432,453,474,
496,517,539,560,582,603,625,646,668,689,711,710,731,753,774,793,810,
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355,374,393,413,433,454,475,497,518,540,561,583,604,626,647,669,690,
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564,586,607,629,650,672,693,715,736,758,777,704,726,747,769,788,806,
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417,437,458,479,501,522,544,565,587,608,630,651,673,694,716,737,759,
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481,503,524,546,567,589,610,632,653,675,696,718,739,761,780,798,814,
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700,722,743,765,784,802,818,833,846,858,868,877)(441,462,483,505,526,
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676,464)( 2,360,284,215,207,803,573,347,304, 30,481,467,825,719,130,
896,775,271,674,455)( 3, 6,286,282,206,205,578,576,307,303,489,483,
828,821,126,128,780,771,671,677)( 4,663,281,160,201,150,577,190,305,
414,486,664,827,152,127,142,776,189,675,415)( 5,647,290,618,208, 90,
575, 68,310,631,482,517,823,428,129,116,778,846,678,840)
( 7,889,289,252,203,788,571,791,308,508,488,853,826,879,121,741,774,
603,679,389)( 8,364,287,582,209,500,574,726,302,131,485,659,829,864,
122,817,773,449,680, 94)( 9,444,285, 97,204,367,572,587,309,499,490,
721,830,137,124,653,777,861,673,816)( 10,112,288,848,202,838,579,649,
306,616,484, 88,824, 67,125,638,772,512,672,425)( 11,446,409, 99,570,
365,595,589,318,491,475,723,222,139,708,658,766,870,621,814)
( 12,480,403,221,564,710,598,761,315,626,471, 18,224,410,709,563,768,
596,630,312)( 13,239,405,699,568,557,600,910,319,434,472,738,227,338,
701, 41,767,545,624,754)( 14,165,402,522,562,250,597,174,314,379,474,
109,230,534,704, 39,765,396,629,269)( 15,470,404,713,566,898,592,278,
316,454,477,354,225,211,703,802,763,341,622, 26)( 16,155,406,141,565,
185,591,417,313,667,476,151,226,145,702,183,764,420,627,666)
( 17, 44,407,549,569,752,593,238,311,691,478,559,229,905,707,437,770,
734,628,339)( 19,348,408, 24,567,462,594,720,317,900,473,276,228,460,
705,353,762,217,623,804)( 20,496,401,728,561,140,599,655,320,865,479,
815,223,443,706, 93,769,361,625,581)( 21,349,468, 23,715,469,895,711,
277,897,457,274,358,458,219,351,805,213,346,810)( 22,751,466,234,714,
698,891,558,275,904,451,436,356,731,216,331,806, 43,345,546)
( 25,254,461,785,716,793,893,507,279,857,459,873,355,747,214,606,801,
383,342,881)( 28,322,463,299,718, 58,899, 72,280,684,456,328,357,294,
218, 60,808, 73,344,682)( 29,790,465,795,712,501,894,858,273,877,452,
750,352,607,212,388,807,883,343,257)( 31,781,399,799,268,503,163,852,
523,874,246,749,176,609,371,390,101,888,539,258)( 32, 62,392,637,270,
518,168,429,530,115,248,841,172,835,377,648,105,620,540, 86)
( 33,447,394, 92,264,369,164,585,524,492,249,722,180,136,380,657,108,
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378,844,110,832,531,641)( 35,820,393,448,265, 91,166,368,527,586,244,
494,175,729,372,138,106,652,537,867)( 36,548,391,758,261,233,167,694,
526,551,245,902,178,438,375,737,107,335,532, 47)( 37,439,398,739,262,
332,161, 42,529,542,241,756,179,236,376,693,102,555,538,901)
( 38,854,400,880,263,744,170,601,528,387,243,887,173,253,373,787,104,
792,535,509)( 40, 52,397, 76,266,686,169,326,521,300,242, 56,177, 77,
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636,908,520,440,422,733,117,336,847)( 46,502,543,851,753,878,240,748,
695,602,560,381,903,886,431,260,732,789,337,797)( 48,875,547,742,760,
605,235,382,696,885,553,255,906,783,435,798,740,504,333,856)
( 49,661,544,159,757,144,237,187,700,418,554,670,907,158,433,147,735,
181,340,413)( 50,842,550,837,755,645,231,613,697, 82,556, 64,909,639,
432,516,736,423,334,119)( 51,321, 78,296,689)( 53,442, 74, 95,685,
363,327,590,291,493, 54,724, 75,134,683,651,330,863,293,811)
( 55,386, 79,884,681,251,329,786,297,796, 57,506, 80,855,688,872,324,
743,292,604)( 59,197, 71,198,690,193,323,200,295,196)
( 61,668,634,157,514,148,430,188,118,412,843,669,833,154,642,149,612,
186, 84,411)( 63,782,632,800,519,510,421,860,120,876,845,746,839,610,
650,384,617,882, 81,259)( 65,608,633,385,513,890,424,256,113,784,850,
794,831,505,646,859,611,871, 89,745)( 66,100,635,366,511,588,426,495,
114,730,849,132,834,654,643,869,614,818, 83,450)( 96,725,362,135,584,
656,497,866,727,813,133,445,660, 98,868,370,812,583,441,498)
(143,662,182,156,416)(146,195,184,194,419,192,665,199,153,191),
( 1,157,415,795,153, 3,800,419)( 2,270,414,404,152,840,796,146)
( 4,432,411, 23,151,425,792,690)( 5,385,413,299,154,389,797,295)
( 6,366,420,594,156,677,794,665)( 7,772,418,234,158, 94,793,184)
( 8,482,416,825,159,816,798,323)( 9,525,417,785,160,464,791, 71)
( 10,908,412,895,155,455,799, 59)( 11,524,655,787,848,465,576, 73)
( 12,441,651,737,841,337,580, 43)( 13,309,660,138,842,716,578,213)
( 14,318,658,693,846,104,577,883)( 15,209,659,648,849,399,572,763)
( 16,244,653,474,845,632,574,123)( 17,291,654,390,847,297,579,383)
( 18,426,652,687,843,435,575, 21)( 19, 20,656,657,844,850,571,573)
( 22,815,422,325,685,486,433,824)( 24,276,423,620,682, 61,438, 32)
( 25,559,424,555,681,554,431,556)( 26,354,429,862,683,192,440,745)
( 27,109,430,888,686,313,437,692)( 28,738,427,335,684, 49,434,450)
( 29,723,421,230,688,627,439,259)( 30,403,428,832,689,143,436,267)
( 31,728,279,227,611,622, 62,253)( 33,522,278,789,618,468, 68, 77)
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[ 2, 84913920, 0, "2", [ [ 729, 1 ], [ 18, 1 ], [ 162, 1 ] ], 1,
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( 66,106)( 67,108)( 69,111)( 70,113)( 72,116)( 74,119)( 76,121)
( 77,123)( 79,126)( 81,128)( 82,130)( 84,102)( 86,135)( 87,137)
( 89,140)( 90,142)( 92,145)( 94,148)( 95,150)( 97,152)( 99,155)
(100,157)(104,160)(105,149)(107,163)(109,165)(110,167)(112,170)
(114,173)(115,175)(117,178)(118,180)(120,183)(122,185)(124,187)
(125,188)(127,191)(129,193)(131,195)(132,179)(133,198)(134,159)
(136,201)(138,204)(139,206)(141,209)(144,169)(146,214)(147,216)
(151,220)(153,222)(154,224)(156,227)(158,166)(161,229)(162,231)
(164,233)(168,237)(171,240)(172,242)(174,245)(176,247)(177,248)
(181,251)(182,252)(184,255)(186,257)(189,261)(190,263)(192,266)
(194,268)(196,271)(197,250)(199,236)(200,275)(202,278)(203,280)
(205,282)(207,285)(208,287)(210,289)(211,291)(212,293)(213,239)
(215,241)(217,297)(218,298)(219,300)(221,303)(223,305)(225,307)
(226,299)(228,309)(230,311)(232,314)(234,317)(235,319)(238,322)
(244,328)(246,330)(249,333)(253,336)(254,337)(256,340)(259,342)
(260,344)(262,347)(264,350)(265,351)(267,354)(270,356)(272,359)
(273,361)(274,362)(276,365)(277,367)(279,370)(281,373)(283,375)
(284,376)(286,379)(288,382)(290,385)(292,387)(294,390)(295,392)
(296,326)(301,346)(302,396)(304,399)(306,401)(308,395)(310,404)
(313,406)(315,409)(316,411)(318,413)(320,416)(321,417)(323,420)
(324,422)(325,424)(327,426)(329,429)(331,432)(332,433)(334,436)
(335,438)(339,441)(341,444)(343,447)(348,451)(349,453)(353,456)
(355,459)(357,460)(358,461)(360,463)(363,466)(364,467)(366,386)
(368,471)(369,472)(371,475)(372,476)(374,479)(378,482)(380,485)
(381,487)(383,490)(384,492)(388,496)(389,498)(391,500)(394,503)
(397,452)(398,504)(400,450)(403,507)(405,510)(408,511)(410,513)
(415,516)(419,519)(421,522)(423,524)(425,527)(428,529)(430,532)
(431,534)(435,537)(437,540)(439,543)(440,545)(442,548)(443,550)
(445,553)(446,465)(448,556)(449,557)(455,563)(458,566)(462,568)
(469,497)(470,495)(473,574)(474,575)(478,578)(480,581)(481,583)
(483,584)(484,585)(486,587)(488,590)(489,591)(491,593)(493,596)
(494,597)(499,600)(502,602)(506,561)(509,606)(512,608)(515,610)
(518,612)(521,613)(526,616)(528,619)(531,620)(533,622)(536,611)
(539,625)(542,628)(544,630)(546,633)(547,635)(549,638)(551,641)
(552,643)(554,624)(555,572)(558,647)(559,649)(560,571)(562,650)
(564,655)(565,646)(569,659)(573,662)(577,664)(580,599)(582,667)
(588,670)(589,671)(594,674)(595,675)(598,677)(601,680)(605,682)
(607,684)(609,686)(615,689)(618,679)(621,692)(627,695)(632,697)
(634,699)(637,701)(639,704)(640,706)(642,708)(644,693)(648,712)
(651,687)(652,665)(653,717)(654,688)(656,669)(657,721)(658,714)
(663,724)(666,727)(673,731)(678,733)(681,735)(683,738)(685,740)
(690,744)(691,745)(694,698)(703,750)(705,752)(711,756)(713,739)
(715,748)(716,760)(718,762)(719,749)(720,743)(722,732)(725,768)
(728,770)(730,772)(734,776)(737,778)(746,785)(747,754)(751,787)
(755,791)(758,794)(759,796)(761,799)(763,802)(764,804)(765,789)
(766,805)(773,811)(775,781)(777,814)(780,817)(783,821)(784,822)
(786,824)(788,815)(790,827)(792,830)(793,816)(795,834)(798,837)
(800,839)(801,841)(803,843)(806,846)(807,847)(808,848)(809,849)
(813,854)(818,858)(819,860)(825,865)(826,867)(828,855)(829,868)
(831,870)(832,872)(833,873)(835,876)(836,878)(838,880)(840,881)
(842,884)(844,886)(845,863)(850,891)(851,892)(852,857)(859,897)
(861,899)(862,900)(864,902)(866,904)(871,895)(874,907)(875,908)
(877,910)(879,912)(882,898)(883,914)(885,917)(887,920)(888,922)
(889,924)(893,926)(894,927)(911,930)(916,932)(919,929)(921,936)
(923,939)(935,942)(938,944) ] ],
[3, Factorial(945)/2,1,"2",[[944,1]],943, "Alt(945)", ["A",945, 1], "Alt"],
[4, Factorial(945),0,"2",[[944, 1]],945, "Sym(945)", ["A",945, 1], "Sym"]];
PRIMGRP[946]:=
[[ 1, 39732, 1, "2", [ [ 42, 12 ], [ 21, 21 ] ], 1, "PSL(2, 43)",
[ "L", [ 2, 43 ], 1 ],
[ ( 1,830,528,377,613,863, 13,143,896,774,156)( 2,396,632,680,264,213, 81,
89,636,258,450)( 3, 33,350, 24,486,447,479,584,411, 50,473)
( 4,165,600,873,868,344,471, 26,475,652, 36)( 5,368,185,594,741,492,
304,323,919,333,245)( 6,943,199,214,422,527,535, 9,205,490,489)
( 7,145,119,829,758,114,438,700,260,932,823)( 8,683,128,692,817,107,
834,639, 37,742,872)( 10,598,190,500,541,902,318,801,170,531, 72)
( 11,905,585,677,364,802,507,407, 82, 74,172)( 12,629,525,339,557,891,
474,174,789,612,644)( 14, 92,828,570, 77, 60,434,324,874,436,703)
( 15,300,195,222,568,132,207,532,917, 49,371)( 16,748,708,820,270,295,
83,203,729,856, 41)( 17,620,265,372,684,803,409,577,476,946,702)
( 18, 76,871,259,732,315,420, 93,303,914,901)( 19,391,798,942,867,395,
360,784,383,111, 84)( 20,206,521,910,922,682,463,103,607,375,824)
( 21,297,524,231,385,398,327,530,887,740, 70)( 22,663,697,446,379,425,
693,552,116,179,797)( 23,317,897,790,565,340,649,394,154,421,730)
( 25,915,290,769,261,622,898,937,433,366,229)( 27,860,292,196,578,676,
266,168, 55,462,537)( 28,924,488,389,244,560,516,406, 39,367,794)
( 29,404,783,562,595,831,298,175,738,410,164)( 30,369,686,536,348,913,
862,472,419,615,161)( 31,779,117,666,502,288,444, 61,822,857, 78)
( 32,735,753,108, 97,918,284,137,464,392, 91)( 34,906,645, 98,341,263,
440,550,526,122,819)( 35,160,417,118,725,134,877,146,846,592,149)
( 38,283,497,230,285,895,840,216,843,378,554)( 40,851,342,670,310,370,
325, 95, 68,180,664)( 42,511,923,182,426, 65,445,883,501,704,291)
( 43,150,768,105,643,424,314,275,312,616,696)( 44,487,498,443,123,709,
191,294,588,243,427)( 45,100,274,659,854,316,361, 62,886,796,478)
( 46,576,452,110,635,335,293,448,701,125,859)( 47,249,553,212,879,605,
459,467,416,332,545)( 48,631,331,435,202,712,309,556,457,432,767)
( 51,236,625,503,234,158,289,305,927,566,336)( 52,428,224,279,642,776,
357,759,609,786,836)( 53,547,326,651,495,667,166,429,278,131,188)
( 54,806,319,718,810,169,838,124,739,247,882)( 56,159,580,320, 90,306,
362,813,731,308,940)( 57,847,811,773,608,687,412,255,455,766,694)
( 58,778,815,240,153,711,841,920,596,130,771)( 59,138,388,930,241,171,
481,878,414,805,186)( 63,821,193,626,714,727,228,302,374,106,354)
( 64,832,658,941,113,248,893,200,770,641,669)( 66,755,373,848,539,744,
286,343,334,618,194)( 67,912,152, 88,136,698,176,512,648,858,281)
( 69,723,571,715,623,668,223,493,299,866,135)( 71,272,591,329,745,653,
508,393,363,655,567)( 73,903,505,945,637,338,583,477,460,453,504)
( 75,850,671,227,534,925,634,926,181,678,217)( 79,548,869,280,728,337,
849,401,638,590,837)( 80,397,621,852,587,387,252,614,938,861,597)
( 85,921,572,413,483,827,807,147,885,400,720)( 86,519,935,167,611,494,
581,148,454,482,603)( 87,772,225,673,543,881,757,242,458,313,183)
( 94,782,688,747,198,151,589,187,928,120,235)( 96,628,514,726,627,855,
402,220,569,908,144)( 99,129,142,640,894,617,656,533,825,690,754)
(101,282,752,724,707,586,555,737,254,575,660)(102,900,816,750,253,112,
804,936,889,376,356)(104,239,515,791,381,215,800,359,814,466,864)
(109,262,267,470,520,451,764,870,710,899,890)(115,934,785,775,328,197,
909,509,601,685,461)(121,593,681,695,749,491,743,610,793,157,751)
(126,808,469,944,301,347,795,201,273,763,399)(127,736,880,287,155,237,
163,788,208,706,480)(133,184,833,633,582,558,246,517,439,211,650)
(139,140,721,311,250,465,931,733,192,430,654)(141,349,657,665,624,346,
672,551,484,689,485)(162,384,418,177,510,271,844,390,544,746,523)
(173,542,604,189,647,853,382,415,441,546,573)(178,232,296,876,276,564,
321,210,675,549,839)(204,865,722,403,380,892,734,221,661,792,717)
(209,405,233,716,933,513,218,761,606,251,916)(219,787,904,713,518,809,
563,322,599,256,630)(226,352,437,888,602,277,358,875,679,268,449)
(238,929,351,442,330,699,799,499,307,468,646)(257,386,674,691,408,845,
705,529,818,579,719)(269,365,574,777,559,939,760,540,842,826,765)
(345,662,538,456,619,756,884,522,812,353,762)(355,781,496,835,907,561,
780,431,423,506,911),
( 1, 4,493,126,246, 12,756, 20,109,491,108,904,293,105,429,289,428,
492, 19,297,427)( 2,525,508, 85,905,361,543,405,392,819,657, 89,558,
862,728,521,609, 28,539,123,815)( 3,420,353, 25,938,738,875,381,221,
303,180, 87,506,202,165,621,437,212,631,308,478)( 5,651, 57,328,273,
937, 17,186,720,160,734,762,846, 91,810,620,814,421,482,455,637)
( 6,796,554,430,798,245,406, 24,215,282,535,527,354,229,325,463,368,
144,675,887,772)( 7, 58,706,448,944, 95, 79,861,921,111,320,715,894,
139,896,247,442,193,198,386,259)( 8,370,562,612,636, 60, 45,497,512,
576,592,721,857,614,195,413,279,380,255,377,344)( 9, 70,363, 41,184,
462,917,318,825,909,218,522,552,419,559,547,196,339,208, 65,194)
( 10,619,220,331,599,119,888, 86,854,403,287,131,835,899,177,863,776,
141,310,489,931)( 11,567,769,716,805,824,107,356,678,302, 27,265,681,
333,897,600,192,913,638,587,903)( 13,625,575,635,171,719,321,142,826,
907,726,464,358,334,350,790,238, 42,517,932, 18)( 14,623,945,490,375,
484,151,852,322,605,595,885,170,585,390,671,920,235,471,886,134)
( 15,844,209,902,735,404, 36,563,352,236,174,244,199,495,842, 61,725,
225,332,305,133)( 16,432,746,466,906, 78,867,823,569,874,745,898,510,
556,203,639,130,705,830,211,793)( 21,417,597, 62,103,415, 63,294,438,
104,439,412, 99,227,100, 64,414, 98,603,731,296)( 22, 49, 68,588,791,
295,336,691,869,454,197,286,613,187,708,915,686, 33,534,314,281)
( 23,456,347,760,714,307,507,205,781,645,179,767,326,200,895,849,607,
676,162,424,692)( 26,285,827, 43,713, 56,866,257,765,923,682,622,837,
167,780,544,500,114,499,270,360)( 29,306,330,541,263,754,283,750,327,
533, 71,531,110,496,831,243,711,817,121,833,369)( 30,840,628,304,642,
94, 73,446,929,219,807,872,520,488,204,624,778,649,939,879,529)
( 31,856,324,150,140,504,157,118,812,755,540,501,736,668,401,661,877,
834,278,564,425)( 32,687,561,610,604,189, 37,580,773,400,213,918,730,
366,768,248,379,800,201,483,632)( 34,149,653,469,518, 38,116,723,451,
355,803,164,298,577,813,890,269,616,530,256,565)( 35,799,152,398,183,
117,450,672,783,486,749,545,408,847,662,224,284, 75,679,436,276)
( 39,788,571,143,777,431,630,693, 97,231,416,402,820, 46,758, 72,271,
159,461,618,864)( 40,548,480,382,924,858,274,910,845,606,383,733,106,
519,855,113, 47,181,351,154,684)( 44,766, 48,364,459,258,652,251,712,
694,161,900,808,919, 74, 88,176,933,594,340,112)( 50,476,763,335,132,
868,893,784,934,752,839,627,802,528,794,458, 67,206,573,291,343)
( 51,514,468,311,384,876,125, 84,589,901,474,582,423,851,922,367,411,
940,240,689,732)( 52,674,523,764, 90,453,445,538,757,785,397,700,809,
435,395,865,190,178,943,447,557)( 53,207,914,946,608,372,315,926,477,
928,660,300,629,942,102,804,908,665,850,821,566)( 54,127,727,787,555,
704,930,581,646,644,647,467,122,659,242,393,475,542,346,701,509)
( 55,217,145,241,770,551,789,658,882,260,222,168,818,611,394, 81,598,
396,399,685,156)( 59,234,342,376,550,853,883,880,173,655,889,584,688,
718,742,748,391,640, 96, 83,743)( 66,709,549,553,301,185,128,702,578,
707,568,936,751,389,169,172,239,440,233,166,226)( 69,230,697,444,832,
935,253, 93,816,115,641, 92,643,385,365,698,280,739,481,744,136)
( 76,884,873,288,695,163,677,316,319,457,138,881,916,182,683,828,249,
717,871,262,470)( 77,779,848,254,272,158,129,188,345,252,120,175,740,
724,426,650,472,449,513,357,147)( 80,634,648,479,774,680,667,137,797,
275,572,505,264,579,670,912,532,602,574,441,135)( 82,387,443,596,237,
374,378,410,927,268,892,460,617,782,341,626,337,434,666,753,836)
(101,546,516,673,277,146,216,250,911,775,591,838,669,313,371,656,811,
771,261,829,536)(124,409,878,654,502,494,191,615,473,633,870,290,515,
710,153,664,487,348,601,570,210)(148,690,801,925,266,841,729,526,843,
422,590,155,511,349,860,583,299,498,696,792,407)(214,761,859,737,223,
317,722,795,593,663,418,537,560,373,524,941,338,309,312,329,362)
(228,359,741,806,503,759,452,267,699,786,747,388,323,433,586,822,891,
465,232,485,703) ] ],
[ 2, 79464, 0, "2", [ [ 42, 20 ], [ 21, 1 ], [ 84, 1 ] ], 1, "PGL(2, 43)",
[ "L", [ 2, 43 ], 1 ],
[ ( 1, 2, 5, 22,110,440,142,293,802,366, 7, 34,134,519,828,220,720,357,
318,120,340,331,368,855,885,874,861,641,868,811,719,172,278,787,652,
53,250,759, 83,239,124,221)( 3, 11, 55,257,672,205,691,492,728,189,
661,306,812,243,481,926,838,542,849,224,622,912,107,433,764,364, 50,
238,352,103,426,586,928,558,478,650,649,842, 42,206,328,453)
( 4, 17, 85,230,294, 56,260,718,614,125,487,199,663,404,751,806,242,
197,180,226,225,722,174,376,311,512,191,667,167,204,687,850, 44,216,
627, 76,341,846, 88,337,535,893)( 6, 28,140,538,932,518,898,584,666,
617,473,256, 78,350,674,754,608,138,446,560,858,886,760,590, 48,232,
709,336,775,496,834,297,346,568,437,273,498,424,170,548,737,100)
( 8, 40, 95,141, 62,287, 54,254,185,427,469,689,532, 32,133,515,721,
251,480,248,699,244,738,816,924,637,592,880,209,697,156,582,867,911,
128,158,588,776,939,403,706,274)( 9, 46,175,575,680,933,921,835,739,
946,746,665, 66,302,677,562,869,753,466,550,929,733, 68,308,329,736,
288,190,474,479,902,476, 25,126,490, 23,115,148, 59,276,258,324)
( 10, 51, 89, 57,265,777,363,552, 39,192,459,660,901,119, 41,201,457,
878,938, 45,219,333,628,713,782,534, 15, 77,345,844,930,434,780,731,
897, 99,413,786,640,796,935,522)( 12, 61,283,794,825,564,131,506,767,
359,863,531,917,335,150,563,516,378,444,743, 58,270,696,837,392,698,
354,735,823,292,653,332,262,773,942,866,422,360, 79,210,632,596)
( 13, 65,298,461,109,104,430,419,537,854,231,193,670,390,727,580,565,
423,401,545,711,240,745,280, 49,235,217,715,271,310,223, 70,316,520,
536,693,830,196,358,253,291,800)( 14, 71,320,804,654,730,881,108,436,
458,408,887,566,525,916,749,763,398,261,772, 92,391,543,198,425,595,
678,212,703,581,797, 98,411,160,594,922,642,658, 33,165,465,587)
( 16, 81,228,207,603,541,841,428,789,809,725,839,314,263,464,445,646,
347,418,615,484,688,317,692,686,523,625,504,704,784, 36,178,275,669,
690,157,304,815,202, 80,355,571)( 18, 91,387,343,507,399,853, 20,101,
153,574,607,573,927, 74,334,494,395,620,657,319,289,561, 38, 87,374,
873,279,788,143, 60,215,237,741,906, 69,313,554,300,808,865,742)
( 19, 97,406,249, 75,339,521, 31,155,577,322, 63,290,799,639,647,941,
578,264,176,272,762,241,553,214,708,890, 35,173,624,945,705,299,533,
315,208,117,463,695,159,591,367)( 21,106,113, 30,149,135,524,147,556,
233,611,675,792,943,511,497,412,442,907,908,630,188,659,286,779,618,
361,635,894,807,195,583,700,843,182,648,169,616,252,761,598,569)
( 24,121,309,822,127, 47,227,664,116,460,475,377,798,638,936,905,723,
539, 37,177,259,734,222,726,513,820,559,750,651,152,570,729,768,456,
852,277,747, 67,305,818,732,435)( 26,132,509,505,864,774,877,371,870,
112,448,605,619,234,714,656,679,384,876,183,105,162,601,599,623,944,
186,655,429,831,168,431,770,791,528,499,268,781,526,407,895, 82)
( 27,137,529,862,380,832,351,856, 96,405,530,420,164,544, 52,246,321,
673,757, 43,211,323,510,102,409,327,606,483,636,477,417,882,913,915,
383,470,610, 90,136,527,181,644)( 29,145,342,848,229,472,904,702,765,
130,503,910,925,684,303,813,682,301,771,724,871,129,348,579,755,370,
847,356,819,447,307,491,482,899,694,829,676,397,629,903,486,344)
( 64,218,338,468,633,634,918,783,187,296,388,393,285,171,621,455,707,
683,500,312,827,144,549,712,485,826,114,454,353,840,467,662,643,394,
889, 84,362,184, 73,330,716,118)( 72,326,589,508,931,572,493,785,817,
200,681,626,600,645,668,557,146,551,888,821,514,179,416,154,576,432,
769,502,462,756,213,449,382,740,385,546,909,748,805,451,857,845)
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(233,833,796,770,693,503)(237,689,742,359,708,605)(239,771,948,364,
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(260,561,923,499,936,399)(262,735,542,851,530,949)(275,432,477,358,
446,504)(277,924,405,767,658,780)(278,412,880,321,574,870)
(284,630,728,747,349,713)(285,687,899,401,920,637)(289,701,594,911,
690,950)(291,890,484,347,802,631)(296,392,361,816,878,620)
(313,645,704,490,449,510)(319,420,614,329,670,730)(325,891,819,612,
947,595)(330,533,578,346,705,667)(333,623,907,691,380,509)
(338,440,810,481,497,932)(339,710,428,715,486,596)(345,903,376,772,
919,826)(350,817,435,457,639,567)(421,543,765,523,651,839)
(423,460,680,884,935,633)(430,927,562,606,655,773)(465,734,666,593,
720,791)(467,582,679,825,507,626)(473,937,684,801,879,871)
(480,559,529,838,818,959)(495,807,958,806,508,769)(550,753,902)
(570,641,827,938,746,617),
( 1, 61,502,630,710,862)( 2,271,349,650,339,647)( 3,283,620,208,703,
512)( 4,164,853,476, 98,905)( 5,775,744, 46,943,695)
( 6,205,544,662, 18,162)( 7,403,371,578,218,659)( 8, 40,656,409,
139,323)( 9,150,551, 15, 14,946)( 10,125,588,574,604,261)
( 11, 52,742,438,151,573)( 12,786,856,635,516, 26)( 13,394,582,209,
525,196)( 16, 85,599,726,388,165)( 17,549,379,426,822,671)
( 19,132,590,122,956,780)( 20,623,790,781,308,286)( 21, 68,625,568,
367,906)( 22,844,118,252,358,334)( 23,346,908,708, 53,142)
( 24,478,720,771,584,469)( 25,242,126,280,661,269)( 27, 39,537,293,
129,847)( 28,523,296,314, 56,589)( 29,808,813, 66,328,338)
( 30,195, 43,501,949,421)( 31,222,456,547,511,168)( 32,668,467,310,
157,719)( 33,519,330,239,666,642)( 34,556, 75,235,665,354)
( 35,133,826,492,484,345)( 36,926,240,481,391,767)( 37,414,464,357,
181,325)( 38,673,674, 82,341,700)( 41,300, 63,429,717,213)
( 42,833,692,842,441,120)( 44, 94,183,532,832,128)( 45,678,702,486,
840,649)( 47,952,203,433,140,676)( 48,152,100,163,688,740)
( 49,477,521,153,594,880)( 50,737,939,473,224,626)( 51,950,725,614,
941,555)( 54,423,281,453,917,760)( 55,250,875,457,158,329)
( 57,369,285,854,274,111)( 58,677,380,420,428,559)( 59,593,565,531,
234,372)( 60,546,765,321,166,202)( 62,928,757,365,479,390)
( 64, 81,360,311,141,867)( 65,807,756,575,922,138)( 67,818,897,110,
731,405)( 69,298,955,944,172,498)( 70,402,211,215,493,608)
( 71,868,835,602,406,598)( 72,262,495,597,751, 83)( 73,154,171,691,
803,882)( 74,472, 76,616,741,878)( 77,347,192,454,834,149)
( 78,585,490,401,579,885)( 79,622,509,637,644,739)( 80,275,945,778,
687,831)( 84,289,190,557,520,607)( 86,449,548,746,841, 92)
( 87,872,134,680,899,288)( 88,363,617,670,837,655)( 89,356,861,170,
97,407)( 90,542,173,416,643,241)( 91,268,947,350,615,342)
( 93,108,657,272,434,444)( 95,675,243,553,399,174)( 96,470,465,460,
694,487)( 99,722,927,102,322,291)(101,383,877,381,393,787)
(103,699,387,783,187,907)(104,795,693,412,229,704)(105,613,951,352,
913,292)(106,846,865,896,714,306)(107,713,474,333,336,566)
(109,572,759,392,898,874)(112,560,228,883,959,284)(113,809,452,639,
802,870)(114,415,522,238,206,592)(115,282,960,777,396,611)
(116,890,237,432,303,232)(117,776,361,471,937,621)(119,636,749,721,
735,276)(121,938,513,595,610,439)(123,915,686,260,266,249)
(124,540,255,933,567,745)(127,446,130,743,295,277)(131,424,893,871,
930,804)(135,219,690,631,443,931)(136,576,413,924,925,838)
(137,425,359,251,827,900)(143,823,514,529,530,942)(144,792,679,828,
248,299)(145,609,940,435,258,645)(146,506,810,879,755,612)
(147,204,169,297,629,794)(148,672,892,580,475,386)(155,398,902,669,
587,564)(156,307,570,185,821,724)(159,335,231,212,785,581)
(160,351,410,569,459,440)(161,337,779,267,317,904)(167,193,497,796,
197,326)(175,718,230,730,343,373)(176,858,653,773,797,886)
(177,400,270,458,711,318)(178,430,641,903,384,819)(179,395,733,932,
958,812)(180,447,658,466,419,934)(182,528,538,491,561,864)
(184,919,663,450,772,389)(186,294,800,638,535,355)(188,543,855,554,
805,709)(189,353,377,324,340,364)(191,422,763,850,873,748)
(194,485,534,936,784,889)(198,507,888,634,935,344)(199,442,914,782,
640,320)(200,881,483,207,633,545)(201,236,754,223,313,683)
(210,953,583,836,603,887)(214,764,628,233,732,463)(216,768,226,911,
712,577)(217,894,526,948,265,287)(220,770,385,462,312,591)
(221,253,788,752,654,852)(225,319,264,571,508,761)(227,884,408,801,
696,304)(244,727,824,667,920,859)(245,496,263,619,259,705)
(246,806,829,817,815,863)(247,651,558,302,869,682)(254,376,789,762,
849,375)(256,362,912,664,957,510)(257,533,701,327,552,397)
(273,550,706,728,301,451)(278,606,716,517,455,411)(279,734,499,825,
769,417)(290,505,332,910,488,798)(305,921,820,814,468,632)
(309,418,404,891,618,382)(315,845,366,697,316,791)(331,857,729,723,
774,374)(348,830,918,480,685,503)(368,378,766,539,518,839)
(370,427,848,596,605,652)(431,793,753,563,923,515)(436,901,586,461,
929,876)(437,954,866,445,681,715)(448,504,747,627,524,738)
(482,758,601,527,624,494)(489,689,541,648,600,660)(500,707,799,895,
860,698)(536,646,909,736,851,916)(562,811,816,750,684,843) ] ],
[ 3, 120960, 0, "2", [ [ 21, 1 ], [ 126, 3 ], [ 42, 4 ], [ 63, 6 ], [ 14, 1 ]
], 1, "PSL(3, 2^2).Sym(3)", [ "L", [ 3, 4 ], 1 ],
[ ( 1,869,726,316,499, 19)( 2, 60,850,646,844,455)( 3,472,147,346,622,247
)( 4,927,650,951,198,166)( 5,641,449,216,324,252)( 6,177, 56,519,
855,714)( 7, 26,904, 21, 76,837)( 8,249,476,716,219,498)
( 9,889,300,734,168,416)( 10,872,440,728,174,504)( 11,335,240,722,
434,676)( 12,411,580,493,890,677)( 13,909,381,606,158,464)
( 14,105,534,282,871,706)( 15,341,104,936,541,800)( 16,113,547,665,
885,562)( 17,682,705,719,287,546)( 18,609,494,120,849,437)
( 20,635,731,579,510,570)( 22,537,891,796,435,699)( 23,666,615,536,
99,912)( 24,408,224,554,223,931)( 25,864,893,400, 98,361)
( 27,773,552,229, 96,784)( 28,136,486,447, 89,262)( 29,929,593,916,
764,941)( 30,747,338,275,496,525)( 31,847, 69,777,887, 77)
( 32,661, 79,360,167,514)( 33,308,836,911,724,117)( 34,884,386,394,
302, 46)( 35,151,149,801,121,888)( 36,559,288,141,725,799)
( 37,944,685,420, 51,549)( 38,413,707,246,619,565)( 39,678,205,194,
613,359)( 40,186, 57,137,450,866)( 41,368,715,735,782,259)
( 42,283,529,443,755,269)( 43,926,192,930, 67,760)( 44,454,819,172,
457,833)( 45,444,260,125,163,501)( 47,644,532,438,698,330)
( 48,160,328,430,608,845)( 49,718,852,426,721,162)( 50,375,256,591,
112,794)( 52,459,791, 86,830,326)( 53,456,840,114, 62,802)
( 54,908,130,222,542,428)( 55,237,241,230,323,395)( 58,155,630,202,
446,810)( 59,680,602,832,110,848)( 61,921,119,556,733,279)
( 63,146,460,783,768,729)( 64,366,250,922,465,445)( 65,245,452,191,
379,681)( 66,535,956,362,178,232)( 68,829, 84,584,107,925)
( 70,919, 90,462,258,495)( 71,526,238,711,816,388)( 72,575,461,942,
808,291)( 73,419,231,812,949,596)( 74,101,485,138,179,164)
( 75,524,317,189,234,684)( 78,675,803,253,697,289)( 80,371,369,284,
481,358)( 81,686,585,506,484,664)( 82,827,587,795,490,539)
( 83,483,185,605,357,712)( 85,564,466,767,780,774)( 87,196,896,540,
176, 91)( 88,867,319,521,500,653)( 92,278,336,582,123,421)
( 93,387,478,717,144,406)( 94,914,616,672,109,906)( 95,648,312,604,
200,655)( 97,320,638,811,854,628)(100,543,374,412,756,679)
(102,603,601,853,937,569)(103,560,436,745,280,425)(106,337,442,913,
636,670)(108,762,857,917,297,148)(111,152,305,818,322,475)
(115,321,611,507,727,523)(116,576,213,348,690,694)(118,822,878,761,
181,228)(122,934,820,263,620,643)(124,509,511,274,637,771)
(126,824,236,632,295,834)(127,377,332,423,610,309)(128,221,281,132,
730,618)(129,345,861,344,140,958)(131,409,161,689,373,954)
(133,960,491,881,431,561)(134,399,505,785,390,424)(135,286,299,502,
809,489)(139,649,356,392,301,797)(142,659,633,860,187,583)
(143,296,298,393,518,180)(145,469,607,842,173,340)(150,879,957,577,
220,211)(153,553,589,448,538,188)(154,201,704,938,918,451)
(156,877,294,807,227,826)(157,598,463)(159,793,244)(165,516,769,389,
772,418)(169,835,558,841,397,572)(170,487,226,804,513,594)
(171,208,277,405,370,642)(175,595,203,350,693,581)(182,692,303,599,
193,614)(183,623,401,197,892,364)(184,738,429,667,251,736)
(190,668,254,846,210,688)(195,862,342,959,660,813)(199,334)
(204,765,627,880,821,825)(206,748,737)(207,311,480,548,875,404)
(209,789,233,612,566,639)(212,242,422,551,781,468)(214,652,382,624,
314,586)(215,307,787,329,267,272)(217,477,218,597,497,713)
(225,943,882,544,788,590)(235,631,940,531,391,928)(239,900,380,285,
656,520)(243,770,325,527,817,265)(248,703,700,417,798,271)
(255,349,723,432,932,629)(257,720,268,310,663,441)(261,657,470,640,
894,876)(264,758,313,702,634,617)(266,427,479,482,492,304)
(270,856,352,578,674,414)(273,433,923,563,696,471)(276,385,592,744,
742,766)(290,754,946,669,671,701)(292,859,886,935,683,901)
(293,709,647,347,828,384)(306,870,588,467,545,839)(315,743,355,415,
741,403)(318,757,557)(327,952,508,573,376,776)(331,708,790,522,858,
752)(333,883,792,378,948,920)(339,530,398,363,600,515)
(343,863,751,865,453,533)(351,779,763,823,778,568)(353,651,955,574,
933,626)(354,528,815,402,407,473)(365,367,654,746,645,555)
(372,874,851,383,945,710)(396,474,488,439,739,740)(410,662,512,905,
950,831)(458,805,898,915,687,691)(503,567,814,868,673,947)
(517,899,843,625,907,873)(550,753)(571,658,621)(695,838,750,953,910,
939)(732,903,895,749,786,806)(759,775,924),
( 1,207,459,142,390,699)( 2, 11,852,499,763,634)( 3,659,923,223, 31,
536)( 4,476,684,159,212,811)( 5,818,795,672,600, 49)
( 6,772,695,427,717,241)( 7,326,661,798,135,899)( 8,741,488, 99,
835,868)( 9,508,376,110,183,325)( 10,949,660,500,595,299)
( 12,294,535,635,629,204)( 13,394,889,248,553, 54)( 14,915,436,399,
888,921)( 15,464,128, 67,849,319)( 16,463,780,590,628,726)
( 17,400,885,624, 87,157)( 18,803,639,418,613,166)( 19,178,669,160,
861,653)( 20,732,415,927, 58, 21)( 22,516,437,440,314,870)
( 23,292,945,940,825,941)( 24,381,496,597,897,450)( 25,610,348,147,
465,177)( 26,677,573,131,342,893)( 27,813,698,737,163,710)
( 28,410,445,786,252,452)( 29,540,522,316, 59,840)( 30,682,583,926,
666,354)( 32,822,158,217,716,616)( 33,875,423,193,373, 41)
( 34,126,837,320,389, 80)( 35,109,181,127,936,270)( 36,469,862,211,
636, 97)( 37,143,213, 63,529,357)( 38,644,846,343,105,524)
( 39,167,118,783,651,734)( 40, 70,380,210,470,550)( 42,775,138,674,
533,848)( 43,111,285,421,815,806)( 44,565,685,946,865,800)
( 45,723,791,767,611,538)( 46,153,689,475,229,731)( 47,692,353,638,
483,727)( 48,224,799,338,293, 61)( 50,942, 64,691,826,752)
( 51,810,124, 76,220,838)( 52,385,471,823,599,901)( 53,860)
( 55,782,222,911,308,633)( 56,637,753,484,387,958)( 57,586,460,858,
498,625)( 60,247,276,937,615,855)( 62,706,140,617, 91,619)
( 65,910,386,750,839,601)( 66,678,531,845,592,567)( 68,609,827,439,
658,454)( 69,489,759,841,262,705)( 71,724,507,441,853,112)
( 72,259,101,771,184,405)( 73,311,514,473,221,345)( 74,411,948,250,
549,310)( 75,519,391,887,558,501)( 77,934,513,425,258,367)
( 78,478,543,922,174,144)( 79,523,395,907,133,515)( 81,164,364)
( 82,504,352,718,714,622)( 83,867,729,359,431,765)( 84, 86,191,434,
857,130)( 85,256,287,647,396,309)( 88,190,820,226,939,777)
( 90,843,254,278,265,794)( 92,370,506,745,579,358)( 93,466,561,509,
641,369)( 94,931,924,137,273,362)( 95,792,534,525,209,453)
( 96,876,854,906,955,797)( 98,141,377)(100,145,260)(102,505,472,409,
406,598)(103,334,796,129,769,869)(104,188,671,185,834,713)
(106,214,383,866,330,227)(107,847,171,527,339,770)(108,850,746,557,
277,774)(113,154,205,546,913,618)(114,317,337,238,676,203)
(115,626,577,632,607,670)(116,467,307,581,404,512)(117,591,151,929,
165,530)(119,560,912,571,733,738)(120,433,920,545,186,340)
(121,895,541,195,574,679)(122,886,407,569,155,903)(123,435,740)
(125,315,228,430,587,253)(132,455,520,289,606,956)(134,918,873,904,
784,930)(136,690,832,957,728,251)(139,301,694,836,559,215)
(146,419,768,657,261,403)(148,621,298,643,448,681)(149,267,802,877,
281,576)(150,468,344,675,461,266)(152,402,564,863,649,808)
(156,379,554,412,336,347)(161,192,925,760,787,809)(162,264,761,544,
696,884)(168,275,556,725,673,189)(169,894,517,762,816,416)
(172,361,580,954,627,542)(173,300,605,744,919,662)(175,667,375,539,
322,898)(176,824,236,246,286,335)(179,704,442,909,703,953)
(180,272,274,819,739,528)(182,323,594)(187,757,908,351,200,630)
(194,743,414,392,492,318)(196,474,754,408,701,890)(197,917,329,239,
429,230)(198,748,417,788,438,650)(199,457,881,623,216,511)
(201,793,371,208,736,547)(202,563,900,374,360,495)(206,764,781,568,
420,291)(218,588,444,712,447,879)(219,446,295,443,296,589)
(225,510,959,721,747,812)(231,821,719,432,620,382)(232,646,378,880,
686,479)(233,896,801,642,715,393)(234,327,305,814,257,593)
(235,778,663,914,363,269)(237,928,249,521,518,851)(240,366,331,486,
864,960)(242,497,578,872,631,332)(243,807,805,584,401,828)
(244,730,572,722,368,789)(245,350,655,952,451,365)(255,755,596,548,
844,585)(263,751,449,874,648,944)(268,776,749,302,321,709)
(271,482,882,537,333,312)(279,645,831,951,708,950)(280,458,487,297,
480,938)(282,349,526,664,388,891)(283,916,640,693,932,603)
(284,697,604,654,398,384)(288,424,485,779,422,503)(290,575,494,766,
562,892)(303,397,304,683,566,582)(306,551,830,372,532,355)
(313,859,773,785,790,817)(324,341,555,665,687,456)(328,702,829,902,
493,688)(346,707)(356,735,608,502,720,481)(413,462,878,933,612,614)
(426,668,680,758,490,711)(428,856,804,947,871,742)(477,656,491)
(552,700,756,943,842,652)(570,602,883,905,833,935) ] ],
[ 4, 120960, 0, "2", [ [ 21, 1 ], [ 126, 6 ], [ 42, 4 ], [ 14, 1 ] ], 1,
"PGammaL(3, 2^2)", [ "L", [ 3, 4 ], 1 ],
[ ( 1,788,406,143,356,255,369,849,320,631,573,943,291, 63, 41,303,739,772,
20,270,732)( 2,223,553,208,820,672,765,793,523,317,612,947,538,836,
577,182,441,932,151,245,862)( 3,433,564, 74,483,542,891,548,222, 27,
479,755,469,532,135,734,718,489,587,110, 53)( 4, 17, 80, 73,212,136,
94,543,659,694,551,347,690,875,141,121, 83,608,176,318,319)
( 5,637,424,868,322,518,921,521,954,890,430, 79,408,935,536,605,428,
859,344, 85,352)( 6,822,668, 90,413,456,628,762,809,419,944,156,166,
67,339,813,459,447,487,842,254)( 7,362,164,617,514,519,724, 87,403,
82,667,558,281,902,817,357,429,396, 24,178,796)( 8,911,941,444,233,
887,423,678,948,293,488,917,504,586,490,421,472,955,565,827,651)
( 9,167,874,165,271,531,476,550,417, 33, 34,768,533, 10,670,840,384,
381,190,196,126)( 11,876,124,183,611,194, 51,335,205,355,950,789, 93,
382,299,806,128,781,831,749,100)( 12,775,274,294,864, 84,445,851,885,
68,834,923, 22,810,832,655,657,844,706,467,475)( 13,767,309,731,563,
918,778,665,177,882,168,170, 97,145,405,919,340,434,227,865,556)
( 14,578,132,200,292,539,695,707,857,769,118, 38,804,440,123,400,215,
138,160,298,936)( 15,714,899,522,391,253, 42,372, 60,900,821, 35,958,
386, 29,203,653,353,711,462,713)( 16,585,847,924, 59,520,588,720,496,
23,257, 26,812,308,931,879,249, 65,592,619,754)( 18,584,904,201,511,
275,942,730,116,698,104,906,833,375,528,883,279,102,473,642,959)
( 19,221,394,224,652,880,493,450,641,477,703,861,776,567,763,674,757,
297,296,712,378)( 21,761,377,342,589,146,432,195,508, 78,198, 44,379,
545,438,133,261,427,747,895,234)( 25, 48,700,397,811,137,597,559,927,
219,188,540,512,524,435,162,431,740,383,105,729)( 28,901,848, 86,922,
49,750,284,662,684,180,131,266,390,393,797,506,272,633,246,268)
( 30,300,898,575,889,240,481,688,321,250,199,758,230,598,717,726,574,
534, 76,795,881)( 31,656,634,392, 99,760,544,661, 37,823,125,387,345,
330,743,129,461,343,239,525,117)( 32,621,557,956,111,503,114,646,727,
453, 55,307,173,256,872, 52,341, 46,163,238,682)( 36,269,360,770,130,
373,399,639,460,197,737,127,815,158,119,109,752,814,153,380,248)
( 39,499,773,620,175,537,184,202,925,892,232,929,134,738,888,856,263,
348,439,554,155)( 40,746, 70,313,325,926,115,799,367,616,324,368,603,
458,225,354,529,530,333,278,826)( 43,280,112,702,853,860,866,482,301,
214,480, 77,474,945,764,527,721,148,654,103,779)( 45,302,691,675,792,
81,723,457,510,484,704,374,785,437,468,451,649,286,610,705,443)
( 47,852,218,260,644,580,498)( 50,715,191,161,365,398,824,742,590,909,
89,414,807,515,376,677,541,120, 61,485,960)( 54,497,237,886,841,850,
615,741,803,915,946,501,491,681,326,494,289, 62,306,843,535)
( 56,871,845,938,287,288,172,310,638,571,267,629,526,560,957,863,426,
231,315,411,854)( 57,579,470,206,464,446,566,748,581,159,186,780,323,
920,751,366,777, 71,650,412,312)( 58,725,910,295,647,463,632,305,334,
756,193,210, 69,220,645,290,673, 92,552,252,174)( 64,139,766,877,304,
555,502,873,846,209,363,486,908,452,358,839,663, 72,951,719,235)
( 66,228,350,630,897,140,213,181,185,816,903,273,595,389,265,316,939,
835,241,728,442)( 75,247,546,838,331,282,604,606,478,388,636,549,576,
207,364,338,735,736,561,101,242)( 88,666,582,884,870,436,753,609,329,
798,407,276,940,680,928,371,686,855,867,687,179)( 91,144,759,801,264,
562,346,837,829,782,869,465,404,570,683,422,664,328,251,349,893)
( 95,878,805,699,607,216,896,784,449,828,568,627,142,635,171,640,692,
733,648,448,722)( 96,916,244,122,593,934,106,107,229,783,370,701,689,
594,187,794,685,591,351,108,395)( 98,517,516,226,492,416,660,601,547,
569,914,669,327,596,415,217,625,420,626,697,513)(113,285,336,385,858,
283,787,800,790,507,600,454,894,907,952,583,949,937,671,912,745)
(147,262,614,314,744,152,624,150,658,905,696,819,716,466,708,418,802,
622,259,830,149)(154,455,930,505,602,572,243,402,361,471,401,933,211,
623,157,599,676,953,808,277,791)(169,337,709,192,643,332,495,359,189,
825,613,204,710,771,258,311,774,500,913,693,818)(236,509,786,409,679,
618,410), ( 1,945,781,578,463,174,388,709)( 2,869,643,661,159,905,
332,247)( 3,456,288,546, 17,927,707,838)( 4,512,505, 21,748,455,
119,845)( 5,221,442,347,488,717,105,903)( 6,420,516,872,407,549,
517,876)( 7,604,834,780,192,705,317,519)( 8,926,743,113,775,855,
147,941)( 9,885, 18,822,831,827,363,396)( 10,476,744,326,268,245,
942,858)( 11,196,284,803, 61,279,914,878)( 12,117, 14,144,720,465,
362,431)( 13,165,925,306,252,638,303, 64)( 15,330,418, 46,683,179,
741,700)( 16, 56,262,291,757,820,687,840)( 19,409,479,555,300,689,
205,502)( 20,861,536,104,217,691,790,160)( 22,461,532,167,854,402,
579,478)( 23,525,753,745,397,417,900,850)( 24,613,658,626,798,645,
31,359)( 25,911,819,863,692,588, 72,957)( 26, 87,111,726,541, 49,
467, 30)( 27,462,477,804,535,301,185,605)( 28,209,210,432,460,310,
457,614)( 29,318,302, 54,935,539,281,400)( 32,647,871,115, 57,435,
309,829)( 33, 51,474,211,879, 70,267,204)( 34,681,387,475,880,797,
949,490)( 35,219,732, 74,410,392,234,526)( 36,913,398,929,751,389,
218,350)( 37,550,698,584,101,404,608,172)( 38,660,667,468,383,789,
177,824)( 39,874,612,223, 71,725,693,264)( 40,156,755,482,491, 45,
685, 50)( 41,450,922,260,756, 93,448,131)( 42,349,408,686,164,893,
353,782)( 43,622,168,795,750,655,814,848)( 44,635,715,807,473, 48,
877,374)( 47,724,411,527,801,280,955,585)( 52,554,329,480,120,323,
513,599)( 53,331,837,763,110,544,292,718)( 55,641,783,294,933,416,
729,187)( 58,673,572,169,571,316,297,565)( 59,236,154,152,766,538,
406,481)( 60,630,155,189,121,887,514,636)( 62,127,615,171,385,589,
573,640)( 63,239,471,436,894,249,441,577)( 65,343,149,586,592,619,
391,496)( 66,703,203,367,118,333,653,426)( 67,706,639,176,464,684,
521,201)( 68,531,737,520,818,853,758,285)( 69,129,274,870,735,522,
358,194)( 73,902,950,721,918,944,235,674)( 75,873,921,596,242,860,
901,857)( 76,107,805,812,909, 82,708,835)( 77,256,495,529,364,173,
796, 90)( 78,959,646,208,582,206,940,731)( 79,445,576,141,133,716,
483,609)( 80,530,438,601,587,675,711,719)( 81,439,298,769,429,842,
83,828)( 84,178,736, 88,369,697,723,360)( 85,424,954,936,738,752,
897,372)( 86,722,649,662,590,742,759,503)( 89,380, 97,493,395,188,
293,931)( 91,841,956,394,859,444,421,224)( 92,148,433,356,537,734,
566,699)( 94,181,510,815,844,278,600,620)( 95,344,427,677,437,251,
145,241)( 96,170,197,866,534,637,533,304)( 98,713,633,307,875,960,
373,124)( 99,625,816,228,413,542,492,449)(100,559,116,469,664,791,
511,908)(102,403,543,792,953,648,849,668)(103,808,112,200,627,190,
186,799)(106,414,628,319,882,946,277,346)(108,354,616,701,501,760,
560,376)(109,305,710,299,244,678,453,939)(114,451,568,125,569,852,
327,419)(122,788,342,621,930,524,175,259)(123,193,768,227,919,454,
230,161)(126,928,564,915,263,951,324,785)(128,650,749,466,825,617,
856,255)(130,257,862,195,583,341,702,867)(132,287,817,371,231,415,
823,696)(134,540,153,916,784,593,934,868)(135,443,651,813,682,458,
839,198)(136,952,422,937,180,246,485,809)(137,889,563,770,607,158,
580,345)(138,215,261,694,258,222,237,594)(139,184,847,740,336,265,
865,428)(140,906,500,283,399,771,202,393)(142,545,308,518,163,214,
382,881)(143,199,890,312,597,146,233,830)(150,629,611,958,777,207,
182,484)(151,314,213,623,570,250,272,220)(157,401,509,632,338,183,
273,895)(162,810,296,947,286,472,898,595)(166,864,375,938,603,659,
276,270)(191,386,688,843,924,507,275,355)(212,671,778,567,644,384,
489,665)(216,712,690,888,917,378,226,328)(225,337,767,904,282,315,
761,695)(229,851,368,802,733,663,446,631)(232,528,548,787,423,254,
311,340)(238,642,779,912,654,339,669,943)(240,266,948,290,773,365,
747,806)(243,832,574,811,754,557,322,504)(248,334,680,562,634,892,
547,581)(253,896,575,923,412,352,602,672)(269,786,405,618,447,551,
497,704)(271,907,361,591,846,670,899,335)(289,652,440,774,494,598,
800,739)(295,523,624,556,610,765,499,764)(313,676,728,515,884,379,
370,679)(320,776,434,430,657,558,390,886)(321,351,910,793,730,746,
606,425)(325,459,452,714,508,666,794,932)(348,727,377,486,883,833,
552,470)(357,656,891,826,561,366,772,506)(381,498,487,836,762,553,
920,821) ] ],
[ 5, 241920, 0, "2",
[ [ 14, 1 ], [ 126, 4 ], [ 84, 2 ], [ 21, 1 ], [ 252, 1 ] ], 1,
"PSL(3, 2^2).D_12", [ "L", [ 3, 4 ], 1 ],
[ ( 1,204,187,834,662,310, 63,822,772,156)( 2,423,302,947,348,446,470, 29,
311,792)( 3, 13,925,849,282,846,658,517,595,819)( 4,629,399,786,
594,475,239,374,345,435)( 5,358, 23,679,130,812,148,455,845,438)
( 6,766,395,444,555,532,913,929,552,472)( 7,641, 43,734,877, 20,737,
522,413,843)( 8,735,442, 90,943,350,854,315,695,879)
( 9,731,906,407,798,574,680,251,546,927)( 10,950,585,153,852, 59,956,
954,738,774)( 11,137,672,853,686,659,393,959,637,612)
( 12,684,260,752,359,875,600,656,437,461)( 14,234,468,785,704,202,132,
83,932,176)( 15,607,696,502,554,317,507,874,597,719)( 16,917, 19,941,
308,295,216,279,886,193)( 17, 95,305,651,944,449,924,205,226,624)
( 18,273,157,949,242,653, 57,795,464,206)( 21,356,168,297, 74,269, 24,
899, 72, 42)( 22,689,287,791,111,591,711,561,827,531)
( 25,810,935, 50,357,152,151,378,573,353)( 26,908,730,881, 38,783,333,
873,911,463)( 27,113,765,524,960,466,903,890,223,934)
( 28,246,569,411,159,514,703,178,745, 46)( 30,412,547, 77,247,952,605,
923,481,325)( 31,405,500,958,116,763,715,540,342,243)
( 32,465,324, 36,420,652,897,631,184,837)( 33,666, 81,225,603,782,175,
491,751,286)( 34,387,191, 79,185,134,724,748,856,921)
( 35,721,682,155,121,332,648,539,945,660)( 37, 78,608,439,760,535,576,
425,636,828)( 39,304,842,630,123,131,467,388,482, 89)
( 40,758,910,559,749)( 41,354,147,267,898, 70,781,863,915,341)
( 44,544,665,779,654,900, 69,497,392,790)( 45,281,727,487,657,383,888,
213,394,293)( 47,327,340,525, 88,633,613,199,362,167)
( 48,436,543,106,172,370,104,821,957,596)( 49,452,840,258,180,885,471,
421,331,664)( 51,567,799,568,809,869,815,739,872,416)
( 52,166,565,673,261, 56,601,173,488,848)( 53,740,401,681,215,228,364,
306,770,433)( 54,668,490,632,803,690,262,489,103,257)
( 55,667,390,804,726,511,503,847,334,504)( 58,599,409,224,788,558,878,
235,146,219)( 60,839, 86,857,426)( 61,454,793,397,669,272,538,352,
563,418)( 62,716,805,319,182,887,351,161,776,164)( 64,811,616,861,
313,870,818,755,122,916)( 65,292,537,476,171,708,494,361,761,298)
( 66,330,417,620,907,541,450,201,144,871)( 67,303,288,610,702,676,816,
194,381,486)( 68,536,188, 75,128,469,371,717,617,321)
( 71,316,375,767,102,249,268,687,227,914)( 73,744,577,797,403,232,865,
410,720,312)( 76,609,729,832,165,796,248,754, 96,440)
( 80,512,408,430,621,764,713,794,236,891)( 82,300,275,880,509,434,762,
868,473,699)( 84,109,290,190,384,718, 91,154,516,283)
( 85,859,894,347,415,580,284,683,382,663)( 87,301,937,210,575)
( 92,158,635,814,294,549,844,373,289,197)( 93,768,451,117,706,459,882,
99,515,936)( 94,581,336,548,643,801,584,266,710,506)( 97,406,419,919,
604,586,619,138,169,693)( 98,697,380,627,478,145,707,692,271,800)
(100,207,775,701,769,170,339,256,432,742)(101,646,904,579,520,896,462,
320,338,831)(105,587,670,386,492,277,953,252,639,655)
(107,862,314,551,928,588,498,939,427,826)(108,557,562,709,400)
(110,149,453,736,369,895,265,513,622,309)(112,493,217,526,830,626,240,
756,448,867)(114,808,280,918,196,183,723,771,270,254)
(115,889,638,593,920,129,728,222,618,623)(118,901,931,360,367,933,445,
858,566,534)(119,829,346,174,892,510,876,398,685,825)
(120,428,851,385,328,143,221,441,614,458)(124,523,912,866,208,521,833,
229,136,650)(125,784,725,264,355,335,181,661,263,431)
(126,220,583,499,163,741,530,291,296,218)(127,326,773,590,824,578,414,
909,589,640)(133,778,344,677,634,602,424,379,753,746)
(135,299,160,501,560,318,195,951,789,759)(139,722,192,480,519,230,189,
150,902,732)(140,447,274,743,484,505,527,200,365,823)
(141,615,802,142,926,477,376,922,948,245)(162,820,508,307,259,841,570,
238,671,211)(177,545,787,864,813,209,529,675,233,712)
(179,733,377,391,429,817,705,323,572,457)(186,212,483,688,625,694,884,
550,955,402)(198,553,691,678,836,443,938,893,276,329)
(203,533,322,930,349,285,396,485,368,700)(214,606,255,422,237,496,940,
698,363,838)(231,806,404,628,714,474,337,582,343,780)
(241,644,757,942,598,278,850,528,518,456)(244,592,883,389,642,556,855,
479,835,366)(250,564,905,495,542,674,611,777,946,647)
(253,460,571,750,807,860,649,747,645,372),
( 1,675,319,824, 87,317)( 2, 99,286,565,742,803)( 3,920,257,934,927,
276)( 4,278,734,915,731,685)( 5,254,707,870,144,316)
( 6,540,130,770,289,287)( 7,448,370,564, 71, 21)( 8,164, 39,669,
560,534)( 9,193,807,409,536,772)( 10,119,697,828,393,809)
( 11, 88,562,710,354,637)( 12,520,190,714,166,422)( 13,810,654,364,
53,880)( 14,583,835,161,725,501)( 15,831,648,436,887,511)
( 16,373,324,843,801,679)( 17, 34,888,136,342,205)( 18,344,327)
( 19,288,513,167,386,502)( 20,646,427,825,295,471)( 22,696, 37, 58,
468,764)( 23,862,817,395, 42,728)( 24,832,805,469,460, 96)
( 25,866, 40,719,466,571)( 26, 76,231,208,780,863)( 27,657,414,623,
503,447)( 28,718,816,778,902,811)( 29,180,214,787,857,210)
( 30,499,802,840, 68,672)( 31,830,586,946,132,163)( 32,855,264,390,
814,412)( 33,125,371, 77,304,243)( 35,958,189,549,919,241)
( 36,639, 92,146,713,702)( 38,576,664,491,299,496)( 41,480,911,589,
141,219)( 43,883,476,314,784,410)( 44,841,113,872,433,183)
( 45,542,727,717,578,746)( 46,293,815,377,255,337)( 47,334, 57,298,
49,405)( 48,467,175,239,918,379)( 50,804,610, 60,176,322)
( 51,781,283, 52,179,332)( 54,102,563,438,357,103)( 55,879)
( 56,349,207,172,457,939)( 59,488,829,311,203,403)( 61,221,110,400,
889,111)( 62,729,408,217,195,134)( 63,470,174,859,580,493)
( 64,329,806,442,105,826)( 65,874,891,796,538,477)( 66,749,165)
( 67,568,548,478,118,683)( 69,423,751,836,768,139)( 70,867,766,227,
250,577)( 72,147,399,218,356,375)( 73,945,763,472,865,339)
( 74,117,384, 93,249,271)( 75,519,142,692,709,848)( 78,695,155,748,
659,461)( 79,638,401,431,715,430)( 80,417,150,940,928,500)
( 81,601,169,191,131,846)( 82,440,112,582,391,743)( 83,200,739,871,
948,699)( 84,312,875,881,907,959)( 85,921,392,544,600,188)
( 86,609,156,954,535,861)( 89,924,171,556,137,450)( 90,912,786,895,
106,140)( 91,607,537,213,126,616)( 94,275,224,693,595,850)
( 95,864,235,656,779,723)( 97,340,612,419,246,446)( 98,667,897,352,
949,721)(100,942,127,795,439,404)(101,884,844,397,901,661)
(104,750,363,482,783,856)(107,670,451,785,957,336)(108,641,432,361,
123,325)(109,634,613,566,507,937)(114,458,305,245,665,886)
(115,348,237,539,737,268)(116,353,407,318,758,614)(120,300,121,362,
712,307)(122,759,698,320,943,822)(124,555,602,160,306,443)
(128,929,508,706,689,345)(129,323,303,389,528,441)(133,382,876,554,
485,454)(135,579,842,170,545,514)(138,938,823,479,955,296)
(143,893,649,682,532,628)(145,285,251,256,606,301)(148,774,162,222,
186,753)(149,521,916,730,310,483)(151,575,308,185,914,157)
(152,752,640,799,663,265)(153,931,220,596,869,599)(154,700,212,321,
527,192)(158,515,896,691,644,690)(159,629,845,671,868,898)
(168,272,402,359,853,744)(173,677,444,925,932,280)(177,530,341,631,
705,551)(178,473,385,956,790,684)(181,328,694,297,517,489)(182,465)
(184,681,632,526,291,561)(187,449,429,935,523,263)(194,769,420,459,
903,569)(196,794,627,487,960,216)(197,930,413,650,425,315)
(198,594,833,509,557,798)(199,346,658,852,851,837)(201,378,860,204,
464,660)(202,474,343,506,484,643)(206,792,411,226,547,369)
(209,269,757,452,292,253)(211,495,326,858,376,605)(215,686,771,791,
497,552)(223,756,922,355,367,708)(225,797,518,642,335,270)
(228,882,735,546,277,533)(229,933,435,900,252,747)(230,455,711,366,
584,453)(232,282,516,437,944,258)(233,360,782,396,741,434)
(234,619,655,913,505,687)(236,615,899,415,522,773)(238,761,553,676,
674,820)(240,701,421,812,716,645)(242,726,475,260,591,838)
(244,525,267,724,789,416)(247,767,908,368,590,351)(248,592,567,673,
445,284)(259,486,428,738,917,279)(261,570,330,347,374,262)
(266,512,456,926,498,740)(273,827,703,624,588,890)(274,309,492,381,
633,688)(281,678,732,603,941,573)(290,622,704,777,388,543)
(294,418,331,952,776,524)(302,873,350,910,951,630)(313,394,662,839,
680,793)(333,923,755,608,387,559)(338,593,574,808,618,587)
(358,617,668,819,821,745)(365,541,647,626,572,481)(372,398,788,736,
762,621)(380,424,652,885,834,936)(383,651,953,854,510,529)
(406,597,847,800,581,905)(426,775,722,550,904,620)(463,625,531,754,
909,894)(490,598,813,765,950,818)(494,666,636,849,653,720)
(504,558,733,947,760,878)(585,611,604,906,635,892) ] ],
[ 6, 1451520, 1, "2",
[ [ 56, 1 ], [ 84, 1 ], [ 63, 1 ], [ 504, 1 ], [ 252, 1 ] ], 1,
"PSp(6, 2)", [ "B", [ 3, 2 ], 1 ],
[ ( 1, 2, 4, 7, 12, 20, 33, 53, 85,133,206,312,458,630,324)
( 3, 6, 10, 17, 28, 46, 74,116,181,275, 67,107,167,258,386)
( 5, 9, 15, 25, 41, 66,105,164,253,378,541,713,852,827,473)
( 8, 14, 23, 38, 61, 97,151,234,308,453,624,787,496,666,820)
( 11, 19, 31, 51, 82,128,199,301,444,611,774,742,165,255,381)
( 13, 22, 36, 58, 54, 87,136,211,320,468,590,760,586,754,634)
( 16, 27, 44, 71,113,176,270,401,570,722,623,786,245,366,526)
( 18, 30, 49, 79,123,191,288,426,202,306,451,620,781,821,674)
( 21, 35, 56, 90,141,219,332,482,654,809,316,464, 47, 76,119)
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[ 7, 174182400, 1, "2", [ [ 84, 1 ], [ 315, 1 ], [ 560, 1 ] ], 1,
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(156,886,621,507,758,469,166)(159,472,199,465,353,407,543)
(161,229,921,851,680,248,581)(164,254,555,593,167,572,819)
(171,516,358,590,765,943,803)(173,893,380,729,726,485,783)
(178,191,484,620,418,255,302)(180,643,304,314,312,951,888)
(181,832,496,290,810,467,915)(183,664,661,703,283,400,196)
(186,872,570,220,924,509,342)(188,282,355,471,958,861,267)
(192,309,427,497,743,432,762)(200,487,802,944,217,495,335)
(213,757,820,732,891,748,952)(221,836,824,438,895,658,571)
(223,667,306,681,769,385,849)(226,263,549,522,585,700,917)
(236,679,250,702,582,387,899)(241,560,707,669,350,684,243)
(249,597,414,544,640,393,928)(273,736,706,838,377,583,586)
(274,933,468,505,701,919,665)(280,629,477,366,442,709,674)
(286,587,922,383,926,908,534)(289,343,542,545,515,871,953)
(295,349,589,433,577,322,777)(300,415,411,561,778,524,389)
(319,945,591,479,462,786,466)(337,937,959,925,834,745,839)
(376,894,501,882,670,806,614)(446,935,749,789,845,447,814)
(691,878,751,865,860,950,708) ] ],
[ 8, 348364800, 0, "2", [ [ 84, 1 ], [ 315, 1 ], [ 560, 1 ] ], 1,
"PSO+(8, 2)", [ "D", [ 4, 2 ], 1 ],
[ ( 1,441, 77,284, 37,446,438,258)( 2,397,180,711,557,895,291,527)
( 3, 87,238,720,430,208, 39,410)( 4,560,268,862,327,882,708,809)
( 5,852,516,816,182,572,679,941)( 6, 11,714,111,345,920,280,339)
( 7,849,117,892,451,875,287,274)( 8,678,317,819, 33,933,120,896)
( 9,841,735,522, 94,928, 92,632)( 10,219,442,123,521,385,285, 84)
( 12,900,739,755,576,814,115,733)( 13,563,370,101,388,328,775,518)
( 14,528,512,406,303,398,176,530)( 15,292, 88,914,459,894, 93,252)
( 16,454,789,549,179,601, 55,893)( 17,830,170,374, 30,850,197,656)
( 18, 63,721,793,879,812,304,551)( 19,511,504,579,615, 72,380,152)
( 20,137, 99,702,450,555, 51,278)( 21,792,124,899,577,301,654,803)
( 22,384,960,103,164,399,901,218)( 23,842,191,692,642,724,150,751)
( 24, 81,151,300, 96,427,402,473)( 25, 46,700,799,105,146,461,835)
( 26,602,181,265,462,729,863,564)( 27,468,463,695,156,501,606,946)
( 28,800,236,467,457,547,871,570)( 29,626,784,750,844,246,661,845)
( 31,477,651,646,897,127,947,262)( 32,747, 43,539,114,838,548,545)
( 34,723, 44,257,367,890,520,118)( 35,279,688,448,885,524,699,297)
( 36,469,464,762,126,332,444,389)( 38,509,439, 74,333,876,907,492)
( 40,141,348,372,183,346,159,906)( 41,163,503,322,776,712,505,904)
( 42,199,140,476, 76,129,753,693)( 45,357,409,206,709,413,785,362)
( 47,637,710,102,566,797,355,676)( 48,562,382,243,731,605,470,796)
( 49,311,677,936,353,122,607,923)( 50,371,215,513,795,125,608,329)
( 52,817,465,418,771,428,379,366)( 53,638,264,956,342,321,193,668)
( 54,728,851,161,248,286,957,641)( 56,178,221,804,561,544,314,912)
( 57,559,326,910,209,358, 73,898)( 58,919,498,954,635,234,479,628)
( 59,760,823,780,878,104,514,599)( 60,359,216,412,224,631,675,886)
( 61,587,820,325,538,798,487,921)( 62,617,227,350,567,496,705, 65)
( 64,689,434,610,431,758,658,584)( 66,230,113,763, 79,347,299,186)
( 67,848,313,266,212,395,148,669)( 68,435,134,598,870,625,749,404)
( 69,805,194,942,128,932,423,331)( 70,940,905,649,338,250,165,269)
( 71, 83,160,133,865,779,772,592)( 75,255,574,640,781,593,648,935)
( 78,433,202,825,671,934,171,872)( 80,449,210,330,237,393,211,471)
( 82,390,318,136,718,361,308,782)( 85,293,356,697,826,142,154,408)
( 86,903,704,590,392,853,108,713)( 89,927,341,644,681,832,767,307)
( 90,840,204,924,616,786,716,948)( 91,665,175,806,188,484,596,738)
( 95,790,298,400,715,636,130,155)( 97,680,624,959,324,229,110,944)
( 98,620,173,381,296,858,741,623)(100,828,486,887,239,573,655,652)
(106,597,918,169,281,259,440,831)(107,578,235,407,310,205,231,889)
(109,888,198,717,774,829,112,670)(116,854,305,541,481,556,540,706)
(119,837,519,727,703,938,591,612)(121,241,811,245,447,233,813,507)
(131,609,424,687,437,883,500,594)(132,553,213,200,884,426,452,158)
(135,684,634,222,674,474,315,254)(138,411,485,913,846,149,698,943)
(139,172,603,373,263,168,460,843)(143,822,859,309,375,953,939,510)
(144,276,542,396,543,166,147,558)(145,323,185,478,586,403,177,707)
(153,621,251,376,260,867,916,244)(157,256,552,247,794,187,746,861)
(162,416,672,777,489,589,691,690)(167,864,604,744,189,950,765,419)
(174,585,483,639,480,429,220,600)(184,873,369,824,488,633,289,196)
(190,783,611,240,696,694,736,415)(192,667,595,386,343,880,494,226)
(195,821,377,827,364,955,497,756)(201,583,764,443,917,857,613,387)
(203,815,365,725,743,368,877,902)(207,754,657,650,277,569,517,685)
(214,619,472,866,525,614,334,622)(217,660,730,834,952,926,335,937)
(223,391,737,554,493,344,945,778)(225,354,455,810,306,249,847,664)
(228,453,909,349,833,319,874,275)(232,666,290,432,271,340,272,588)
(242,270,529,770,475,294,701,378)(253,856,740,267,645,414,302,490)
(261,801,523,405,571,580,320,662)(273,458,360,808,582,818,288,881)
(282,436,787,515,911,550,618,456)(283,958,352,951,363,536,316,868)
(295,421,508,752,537,394,565,742)(312,683,759,526,949,531,686,546)
(336,535,719,466,491,682,769,807)(337,417,732,929,534,925,839,908)
(351,855,653,722,791,420,533,663)(383,495,757,673,869,630,745,891)
(401,502,748,802,581,568,922,482)(422,761,915,629,659,773,930,726)
(425,766,788,499,860,734,445,575)(506,643,627,647,532,931,768,836),
( 1,183,814, 38,543,863,522,285,576, 51,706,432)( 2,599,908,107,406,
465,764,741,534, 82,947,151)( 3,808,550,217,789,567)
( 4,275,926, 65,615,185,329,616,200,746,822,220)( 5,711,871,891, 56,
699)( 6,155,671,697,747,867,480,710,331,593,492,237)
( 7,502,324, 89,511,453,923,487,728,516,210, 44)( 8, 31,812, 19,385,
666,456,715,423,322,821, 86)( 9,570,261,834,382,875,221,546,604,325,
157,621)( 10,702,256,661, 81,954,510,955,202,773,169,405)
( 11,410,824,344,842,551,866,101,823,847,801,769)( 12,162,365,944,337,
294)( 13,536,712,483,739,354,811,444,521,589,927,209)
( 14,277,643,225,907,912,688,520,542,656,684, 94)( 15,560,447,141,683,
168,104,513,795,838,583,610)( 16, 42,877,132, 69,163, 92,310,236,660,
554,450)( 17,436,745,491, 79,148,861,497,581,582,267, 85)
( 18,902,334,798, 30,623,194,645,463,748,119,434)( 20,596,549,527,530,
71,309, 27,681,291,855,250)( 21, 84,727,404,284,230,696,803,709,949,
804,815)( 22,471,840,288,674,441,270,708,121,358,960,179)
( 23,219,805,829,158,216,435,787,519,461,383,419)( 24,518, 48,391,407,
569,165, 36,239,910,898,372)( 25, 90,624,538,608,283,317,517,959,161,
279,462)( 26,565,592,928, 72,430,321,142,363,438,274,389)
( 28,790,265,375,648,214,788,897,940,672,241,894)( 29,694,887, 80,300,
818,629,555,830,222,752,703)( 32,431,208,642,177,948,428,295,342,414,
678,524)( 33,653,369,680,130,779,364,768,714, 54,355,588)
( 34,663,111,186,242,229, 49, 95,272,913,835,286)( 35,473,668,120,332,
934,315,826,352,670,131,879)( 37, 57,765,568,426,392)
( 39,379,916,258,759,287,836,266,512,314,299,809)( 40,862,349,673,459,
755, 99,330,371,335,525,832)( 41,154,794,857,626,778,691,415, 45,763,
136,872)( 43,377,820,839,686,144)( 46,204,532,783,535,439,914,882,
611,123,919,244)( 47,160,387,799,732,347,813,685,318,399,417,467)
( 50,602,153,618, 58,429,460,650,378,278,631,105)( 52,859,173,641,203,
931, 74,116,472,482,499,556)( 53,776,774, 97,734,603,464,323,384,248,
320,786)( 55,223,420, 63,895,918,816, 76,297,433,485, 75)
( 59,547,259,751,725,357,868,253,756,552,134,845)( 60,201,930,328, 73,
792,682,664,782,853,846,356)( 61,716,437, 70,737,780,851,327,238,865,
870,606)( 62,319,636,545,953,735,191,738,722,402,579,572)
( 64,909,326,172,243,932,408,729,917,574,206,187)( 66,488,307,166,566,
771,598,896,679,540,263,346)( 67,825,856,446,718,351,226,205,227,852,
493,646)( 68,827,675,143,915,744,235,667,662,403,199,628)
( 77,276,571,495,693,956)( 78,888,110,922,479,695)( 83,946,108,620)
( 87,231,440,723,484,147,958,302,758,103,122,424)( 88,457,936,401,193,
634,198,575,449,937,878,176)( 91,775,181,600,393,630,218,400,704,515,
607,952)( 93,398,881,381,290,254,146,215,197,640,633,849)
( 96,950,848,455,637,304,269,724,649,889,126,719)( 98,298,366,658,338,
705,118,370,548,501,564,625)(100,906,920,833,731,496,409,228,514,509,
807,580)(102,770,416,445,533,212,903,135,933,743,883,831)
(106,529,644,892,207,609,595,890,893,504,806,477)(109,553,171,255,306,
810,475,452,591,537,360,138)(112,341,707,651,339,312,252,733,489,448,
713,490)(113,900,249,190,843,544)(114,784,280,925,303,762)
(115,333,117,594,777,802,767,442,268,736,145,957)(124,899,619,152,257,
167,687,137,951,904,156,766)(125,869,563,348,184,860,657,884,232,474,
174,523)(127,386,692,885,345,311,627,427,938,251,819,367)
(128,740,750,470,558,597,578,945,562,612,939,911)(129,837,613,282,271,
411,246,350,397,880,676,308)(133,585,654,373,292,528,638,717,506,245,
760,924)(139,559,140,233,178,526,388,374,149,584,561,368)
(150,454,305,577,586,929)(159,313,412,639,854,772,376,742,498,195,500,
874)(164,541,942,761,494,941)(170,726,690,587,316,293)
(175,665,451,921,224,260,296,353,677,757,655,901)(180,262,289,213,635,
841)(182,380,601,211)(188,189,647,873,396,343,701,425,469,590,505,781
)(192,390,247,468,539,749,689,476,458,935,669,800)(196,617,622,864)
(234,443,421,264,698,659,486,753,240,614,557,605)(273,503,422,336,531,
301,652,481,413,850,943,394)(281,361,886,632,478,791)
(340,858,418,844,507,796)(359,508,817,700,730,362)(395,876,828,573,
466,797,905,754,721,793,785,720) ] ],
[9, Factorial(960)/2,1,"2",[[959,1]],958, "Alt(960)", ["A",960, 1], "Alt"],
[10, Factorial(960),0,"2",[[959, 1]],960, "Sym(960)", ["A",960, 1], "Sym"]];
PRIMGRP[961]:=
[[ 1, 276768000000, 0, "4c", [ [ 60, 1 ], [ 900, 1 ] ], 1,
"PSL(3, 5) wreath Sym(2)", [ "L", [ 3, 5 ], 2 ],
[ ( 1,341,266,436,957,866,790,193,645,380,484, 30,930,262, 64,953,153,796,
100,632,504,469,712,915,355, 65,550,130,176,102,756,518,283,710,822,
358,716,528,316,173,443,771,859,294,214,831,389,732)( 2,961,277,777,
937,649,783,472,650,907,479, 92,922,138, 83,116,136,517, 97,694,512,
345,685,543,347,158,536,750,177,288,772,828,296,741,807,327,731,435,
337,855,449,213,862,387,205, 25,403,267)( 3,558,254,157,939,773,797,
286,648,814,482,743,900,324, 80,457,151,858,108,198,521,376,701, 16,
372,251,529,936,184,784,751,642,287,493,836,916,727, 63,333,142,455,
120,849,511,190,707,388,360)( 4,713,264,343,933,556,781,162,629,752,
487,309,927,820, 79,736,125,331,111,446,523,841,697,202,366,375,546,
6,186,257,746,952,308,803,813,637,721,466,340,917,448, 89,860,139,
207,118,384,515)( 5,620,261, 33,950,432,786,875,630,659,489,588,904,
603, 75, 54,144,424,104,880,506,655,706,574,346,592,540, 37,175,412,
755,890,289,679,830,575,718,590,323, 49,454,430,848,883,196,676,396,
577)( 7,651,256,467,960,928,789, 69,643,132,486,123,911,510, 66,705,
140,362, 96,539,502,159,691,760,363,282,555,812,172,722,745,332,297,
462,833,854,728,187,335,390,453, 27,868,263,188,955,401,794)
( 8,496,278,901,944, 91,798,131,641,101,477,526,903,696, 78,364,127,
548, 99,167,505,748,704,295,369,809,544,719,156,319,762,456,306,865,
821,203,738,373,329, 18,465,275,839,945,215,800,379,639)
( 9,775,270,281,958,835,792,720,621,318,483,464,926,851, 77,209,149,
393,112, 12,527,252,684,946,370,778,534,626,163,474,774,921,293, 90,
829,141,734, 94,322,514,438,709,853,356,189,552,378,174)
( 10,682,272,560,935,618,788, 38,640,411,476,898,909,665, 86,581,129,
610,106, 43,516,407,693,884,351,654,551,564,160,598,757, 53,299,431,
817,885,723,652,334,576,439,616,850, 46,206,428,383,887)
( 11,899,258,653,954,587,780,596,633, 39,485,433,910,882, 72,674,148,
579, 98,601,509, 35,702,419,352,871,537,657,179,567,749,611,292, 59,
826,420,724,869,320,669,458,585,842,604,199, 56,392,422)
( 13, 62,268,405,941,897,785,658,644,566,470,619,912, 45, 82,426,135,
889,103,663,520,562,687,605,354, 34,547,409,166,877,754,673,303,586,
811,606,726, 32,330,421,445,895,847,666,210,583,377,608)
( 14, 93,271,126,951,122,787,503,624,690,481,371,902,541, 68,178,133,
765,115,291,524,810,699,729,342,313,545,440,182,846,759,208,304,400,
825, 17,744,249,312,948,463,802,844,635,194,490,402,918)
( 15,217,273,374,949, 29,806,255,622,938,494,805,906,634, 70,488,154,
920,107, 74,519,128,703,109,353,499,531,688,171,350,747,549,285,183,
815,761,735,280,338,824,451,740,838,325,204,459,399,856)
( 19, 31,279,250,932,959,804,782,627,628,473,495,929,913, 76, 85,147,
145,114,105,508,500,686,698,357,344,530,533,161,164,753,766,301,307,
834,823,730,714,311,328,452,461,864,852,201,211,397,391)
( 20,434,259,870,940,680,799,565,625,597,478, 61,919,417, 73,891,134,
672,117,570,501,593,695, 47,361,406,538,874,165,660,768,580,284,617,
819, 48,733,404,321,886,444,678,861,573,191,614,385, 50)
( 21,124,260,498,934,711,791,348,623,535,471,185,908,758, 84,302,152,
827,110,725,497,314,700,450,368,840,542,192,180,381,763, 22,310,276,
808,947,742,776,317,638,442,492,867,914,200, 87,395,143)
( 23,155,269, 95,942,525,779,689,636,349,468,557,905,169, 71,767,146,
300,121,818,513,717,683,326,359,437,554,843,170,195,769,394,298, 28,
837,265,715,931,339,793,441,647,845,480,216,924,386, 81)
( 24,589,253,591,943, 60,795,410,631,876,475,681,923,572, 67,612,137,
52,113,415,507,872,692,667,365,561,532,595,168, 40,764,425,290,896,
816,668,737,559,315,607,447, 58,857,418,197,893,382,670)
( 26,248,274,219,956,246,801,224,646,225,491,247,925,231, 88,240,150,
238,119,229,522,221,708,233,367,220,553,223,181,226,770,239,305,245,
832,234,739,218,336,235,460,244,863,232,212,242,398,236)
( 36,609,416, 42,888,413,662,892,568,656,613,571)( 41,671,427,569,873,
599,664, 55,578,408,600,881)( 44, 51,423,414,879,878,661,675,582,563,
594,602)( 57,237,429,228,894,227,677,241,584,222,615,230),
( 1,656,409,544, 42,747,744,102, 78,273,882,494,782,239,579,292,178,
607,810,684,504,201,154,391,909,646,950,311,663,440,555,848,768,372,
120, 16,253,417,482, 38,220,734,288, 85,614,872,711,783,208,588,385,
165,638,826,312,508,449,152,856,923,367,957)( 2,501,418,141, 50,902,
739,939, 63,676,874,556,786,766,589,106,171,266,820,467,503,232,145,
298,922,615,934,683,659,192,557,383,754,651,113,326,260,448,493,844,
241,362,306, 23,594,407,699, 39,189,743,381, 72,645,888,339,787,456,
586,850,179,359,833)( 3,718,412, 79, 56,871,742,784, 84,583,881,184,
793,828,560,509,170,142,825,901,522,945,125,670,905,553,941,745,682,
99,543,259,758,496,100,233,269,293,488,596,221,703,287,209,619,376,
692,628,206,340,384,444,648,857,334,353,461, 28,842,427,358, 58)
( 4,687,411,203, 61,375,723,629, 82,335,880,463,803,859,582,354,182,
18,811,405,513, 46,127,732,908, 88,955,869,680,781,549,569,757,186,
111,822,250,510,480,131,236,920,305,953,590,655,688,535,197,774,403,
103,636,268,324,477,441,245,858,303,364,616)( 5,408,420, 48, 34,716,
722, 71, 87,893,897,804,797,580,571,168,173,824,808,498,511,139,143,
918,925,956,931,652,657,533,538,755,775,124,109,264,262,479,472,224,
238,300,302,612,593,686,690,194,216,402,382,630,640,330,322,446,462,
865,861,365,368, 27)( 6,532,414,761, 62, 96,729,257, 76,490,875,246,
796,301,581,602,159,700,814,188,526,387,134,639,919,336,942,435,679,
843,551,352,771, 31, 98,419,265, 45,468,720,226, 83,304,891,618,779,
704,566,199,185,390,816,622,516,325,136,453,927,863,954,342,678)
( 7,222,424,296, 54,592,717,691, 70,211,898,401,785,642,578,323,167,
452,834,839,520,356,151, 19,904,429,947, 32,654,719,536, 73,769,899,
122,791,270,572,478,162,235,827,281,519,604,128,701,907,212,960,373,
661,626,547,321,756,465,121,853,272,355,492)( 8,191,433,389, 41,623,
733,319, 74,459,896,866,799,363,585, 13,160,421,823, 33,499,728,133,
81,924,894,959,776,673,564,540,166,762,837, 95,512,263,138,484,906,
243,951,280,674,595,531,693,752,217,123,388,258,634,485,317,229,455,
307,860,613,345,709)( 9, 67,428,885, 60,778,735,567, 75,180,886,835,
777,518,573,137,174,917,832,932,497,666,130,546,910,770,961, 94,667,
254,541,476,751,248,114,295,271,603,469,689,225,207,309,395,599,624,
702,318,198,464,400,847,644,361,337, 12,439,431,854, 55,344,740)
( 10,625,423,327, 43,437,741,846, 86,366,895, 29,780,425,575, 44,158,
731,815, 64,521,883,153,794,921,584,943,156,669,812,529,507,759,155,
112,915,274,944,466,658,223,548,290,767,620, 97,698,256,200,495,379,
227,641,299,333,601,438,710,845,210,371,399)( 11,749,434,110, 47,251,
727,474, 69,242,889,308,798,611,562,695,163,204,836,374,506,635,144,
329,911,460,958,838,675,347,554)( 14,470,410,234, 52,282,736,598, 66,
707,876,215,805,394,568,633,175,328,818,436,524,852,148,360,926, 26,
935,404,668, 37,530,724,753, 93,118,884,277,789,487,565,230,176,297,
829,591,500,697,132,205,929,398,940,621,671,316,539,445,772,868,117,
357,275)( 15,129,422,916, 57,933,714,660, 68,552,879,773,806,115,574,
261,169,483,813,219,517,294,147,608,903,708,938,187,681,378,537,631,
764,341,105,450,276,851,489,348,244, 21,284,426,606, 35,685,721,195,
92,397,878,649,795,332,570,447,183,855,830,343,523)( 17, 36,406,730,
40, 65,738,877, 91,800,890,587,788,177,576,819,157,514,821,126,515,
914,150,949,900,677,936,528,662,750,558,104,760,279,107,481,255,231,
486,286,240,610,283,705,597,190,712,380,196,650,392,320,632,454,338,
849,458,369,864, 24,346,430)( 20,315,415,451, 59,840,737,350, 89, 25,
873,432,792, 53,561,726,164, 80,831,870,525,790,146,577,912,181,948,
807,653,502,542,135,763,930,119,946,249,665,471,534,228,765,310,116,
605,252,696,473,193,247,393,289,643,609,314,694,442,214,867,396,351,
647)( 22,563,416,172, 49,809,715,505, 77,149,887,928,801,952,559,664,
161,545,817,746,527,108,140,267,913,491,937,218,672,285,550,600,748,
713,101,202,278,386,475,627,237,331,291,457,617,841,706,349,213, 30,
377,413,637, 51,313,725,443, 90,862,892,370,802) ] ],
[ 2, 199974400819200, 0, "4c", [ [ 60, 1 ], [ 900, 1 ] ], 1,
"PSL(5, 2) wreath 2", [ "L", [ 5, 2 ], 2 ],
[ ( 1,591,291,437)( 2,601,282,435)( 3,590,281,446)( 4,597,294,462, 11,
614,292,465, 17,598,306,456)( 5,603,309,463, 10,613,284,448, 30,618,
289,458)( 6,608,285,453)( 7,607,305,441, 18,615,286,452, 26,596,
297,460)( 8,604,307,445, 25,602,310,451, 9,616,301,438)
( 12,592,280,436)( 13,620,296,443, 27,611,283,442, 15,617,290,459)
( 14,619,308,444, 24,594,293,464, 29,599,303,439)( 16,610,302,450, 21,
612,295,455, 23,605,300,457)( 19,595,298,440)( 20,609,299,454)
( 22,593,287,449, 28,600,304,447, 31,606,288,461)( 32,622,725,158,125,
95,787,809,218,746,849,530)( 33,632,716,156,126,105,778,807,219,756,
840,528)( 34,621,715,167,127, 94,777,818,220,745,839,539)
( 35,628,728,183,135,118,788,837,234,753,864,549)( 36,634,743,184,134,
117,780,820,247,773,847,551)( 37,639,719,174,130,112,781,825,223,763,
843,546)( 38,638,739,162,142,119,782,824,243,751,855,553)
( 39,635,741,166,149,106,806,823,226,771,859,531)( 40,647,735,159,132,
108,803,817,242,757,868,544)( 41,644,718,169,154,122,785,830,222,758,
867,556)( 42,645,726,186,141,102,802,828,221,752,852,555)
( 43,623,714,157,136, 96,776,808,229,747,838,529)( 44,651,730,164,151,
115,779,814,232,772,848,552)( 45,650,742,165,148, 98,789,836,246,754,
861,532)( 46,648,724,180,137,124,792,815,244,766,841,535)
( 47,641,736,171,145,116,791,827,240,760,858,550)( 48,629,740,177,128,
101,790,834,228,769,850,558)( 49,646,720,173,150,100,793,832,224,762,
863,534)( 50,626,732,161,143, 99,794,812,236,750,856,533)
( 51,640,733,175,144,113,795,826,237,764,857,547)( 52,643,729,176,147,
109,796,829,233,765,860,543)( 53,624,721,170,152,104,800,819,248,761,
846,554)( 54,636,734,178,140,114,798,822,238,767,853,548)
( 55,625,727,185,153,103,799,811,231,774,866,537)( 56,633,744,172,133,
120,797,810,225,759,865,538)( 57,627,731,181,131,111,801,813,235,770,
844,545)( 58,642,717,163,139,121,786,831,230,775,854,536)
( 59,631,738,168,155,110,784,833,239,748,845,542)( 60,630,737,160,138,
123,804,816,241,749,851,557)( 61,649,723,179,129,107,805,835,227,768,
842,541)( 62,637,722,182,146, 97,783,821,245,755,862,540)
( 63,870,942, 65,869,932, 74,871,931, 64,880,933)( 66,876,945, 90,879,
955, 75,899,947, 71,895,952)( 67,882,960, 91,878,954)
( 68,887,936, 81,874,949)( 69,886,956)( 70,883,958, 73,893,943, 93,
885,939, 89,890,934)( 72,892,935, 76,898,959)( 77,896,941, 87,881,
961, 79,877,957, 84,872,938)( 78,889,953)( 80,894,937)( 82,888,950)
( 83,891,946)( 85,884,951)( 86,873,944, 92,897,940)( 88,875,948)
(187,684,663,313,373,560,198,685,652,312,384,561)(188,694,654,311,374,
570,189,683,653,322,375,559)(190,690,666,338,383,583,199,713,668,319,
399,580)(191,696,681,339,382,582)(192,701,657,329,378,577)
(193,700,677,317,390,584)(194,697,679,321,397,571,217,699,660,337,394,
562)(195,709,673,314,380,573,214,693,676,323,403,575)
(196,706,656,324,402,587)(197,707,664,341,389,567,213,704,655,318,387,
586)(200,712,680,320,396,563)(201,710,662,335,385,589,203,691,678,
332,376,566)(202,703,674,326,393,581)(204,708,658,328,398,565)
(205,688,670,316,391,564)(206,702,671,330,392,578)(207,705,667,331,
395,574)(208,686,659,325,400,569,211,695,682,327,381,585)
(209,698,672,333,388,579)(210,687,665,340,401,568)(212,689,669,336,
379,576)(215,692,675,315,386,588)(216,711,661,334,377,572)
(249,901,477,251,900,467,260,902,466,250,911,468)(252,907,480,276,910,
490,261,930,482,257,926,487)(253,913,495,277,909,489)
(254,918,471,267,905,484)(255,917,491)(256,914,493,259,924,478,279,
916,474,275,921,469)(258,923,470,262,929,494)(263,927,476,273,912,
496,265,908,492,270,903,473)(264,920,488)(266,925,472)(268,919,485)
(269,922,481)(271,915,486)(272,904,479,278,928,475)(274,906,483)
(342,405,353,406)(343,415,344,404)(345,411,356,431,352,428,354,434,
358,412,368,425)(346,417,371,432,351,427)(347,422)(348,421,367,410,
359,429)(349,418,369,414,366,416,372,420,350,430,363,407)
(355,433,370,413,365,408)(357,424,364,419,362,426)(360,409)(361,423)
(497,498,508,499)(500,504,511,524,507,521,509,527,513,505,523,518)
(501,510,526,525,506,520)(502,515)(503,514,522)(512,517,519),
( 1,639,213,940,684,610,846,367,478,277,752,674,239,551)
( 2,608,195,351,695,269,845,677,487,556,745,643,244,954)
( 3, 50,206, 72,710,579,843,398,476,897,774,178,221,923, 16,515,201,
444,687,300,862,832,472,742,775,426,235,148)( 4,918,202,506,697,455,
842,305,490,835,751,736,248,427, 18,143,189, 41,702, 83,865,584,471,
401,755,891,247,179)( 5,298,211,816,689,734,868,429,483,153,747, 54,
237, 86, 28,577,192,382,693,889,867,181,469,928,760,519,232,458)
( 6,391,197,878,712,176,841,925,481,525,759,457,222,303, 25,825,193,
723,713,424,855,150,468, 60,764, 85,245,582)( 7,732,217,413,700,145,
840, 57,485, 91,772,581,223,396, 11,887,216,165,686,920,853,522,480,
463,749,302,242,830)( 8,670,208,537,683,641,864,956,467,618,753,364,
230,272)( 9,360,199,258,690,672,859,553,466,649,771,953,219,613)
( 10,701,207,847,708,486,866,770,488,246,768, 23,236,210)
( 12,112,200,320,694,114,851,336,477,122,758,333,229,117, 14,329,198,
103,696,331,849,119,479,339,756,116,231,334)( 13,267,194,661,704,548,
838,646,492,959,746,612,226,365)( 15,453,191,289,707,827,844,739,496,
432,762,147,220, 55, 20, 81,214,568,688,393,848,894,495,184,748,922,
233,520)( 17,794,203,785,699,796,854,801,482,804,761,798,234,799)
( 19,205,196,692,703,858,863,491,494,773,767,240,241, 24)
( 21,856,212,475,711,765,860,243,489, 29,763,209,227,706)
( 22,546,187,630,709,951,839,615,474,370,757,271,225,675)
( 26,484,215,754,705,238,861)( 27,949,188,599,691,362,850,274,473,680,
766,550,218,644)( 30,174,190,909,698,517,852,460,470,308,769,829,224,
737, 31,422,204,134,685, 52,857, 88,493,587,750,395,228,892)
( 32,640, 89,958,560,595,381,352,881,278,163,655,921,543,497,635,461,
935,281,614,815,348,726,279,411,669,146,530)( 33,609, 71,369,571,254,
380,662,890,557,156,624,926,946,498,604,443,346,292,273,814,658,735,
558,404,638,151,933)( 34, 51, 82, 90,586,564,378,383,879,898,185,159,
903,915,512,511,449,439,284,304,831,813,720,744,434,421,142,127)
( 35,919, 78,524,573,440,377,290,893,836,162,717,930,419,514,139,437,
36,299, 87,834,565,719,403,414,886,154,158)( 37,392, 73,896,588,161,
376,910,884,526,170,438,904,295,521,821,441,718,310,428,824,131,716,
62,423, 80,152,561)( 38,733, 93,431,576,130,375, 42,888, 92,183,562,
905,388,507,883,464,160,283,924,822,503,728,465,408,297,149,809)
( 39,671, 84,555,559,626,399,941,870,619,164,345,912,264,504,666,456,
532,280,645,833,937,715,620,412,359,137,251)( 40,361, 75,276,566,657,
394,538,869,650,182,934,901,605,505,356,447,253,287,676,828,534,714,
651,430,948,126,592)( 43,113, 76,338,570, 99,386,321,880,123,169,314,
911,109,510,325,446, 98,293,335,818,100,727,341,415,111,138,313)
( 44,268, 70,679,580,533,373,631,895,960,157,593,908,357,509,263,442,
656,301,552,807,627,740,961,405,607,133,344)( 45,330, 74,121,572,316,
384,104,882,340,167, 97,913,326,508,108,448,315,291,118,820,317,725,
124,417,328,136, 96)( 46,454, 67,307,583,812,379,724,899,433,173,128,
902, 47,516, 77,462,563,285,397,817,875,743,186,407,917,140,499)
( 48,795, 79,803,575,781,389,786,885,805,172,779,916,791,513,790,451,
780,296,800,823,782,730,806,420,793,141,778)( 49,144, 65, 59,578, 68,
400,569,874,402,166,872,929,171,500,914,450,501,294,459,811,286,738,
837,410,731,155,406)( 53,547, 63,648,585,936,374,600,877,371,168,252,
907,667,518,542,435,625,306,955,808,596,722,372,416,266,132,654)
( 56,826, 69,741,589,409,390,135,871, 61,175, 66,927,574,502,387,445,
873,309,180,810,906,729,527,418,452,129,282)( 58,950, 64,617,567,347,
385,259,876,681,177,531,900,636,523,945,436,594,288,366,819,255,721,
682,425,545,125,623)( 94,634,337,942, 95,603,319,353,106,262,318,663,
115,541,311,632,120,944,312,601,102,355,323,260,101,665,332,539)
(105,107,324,322)(110,789,327,787)(249,628,678,952,529,590,629,368,
943,250,597,660,363,540)(256,659,673,549,528,621,647,957,932,591,598,
350,354,261)(257,349,664,270,535,652,642,554,931,622,616,939,343,602)
(265,783,668,797,544,776,637,802,947,777,606,784,358,788)
(275,938,653,611,536,342,633) ] ],
[ 3, 33807537766321296481038183078105265456283453706416947200000000000000, 0,
"4c", [ [ 60, 1 ], [ 900, 1 ] ], 1, "Alt(31) wreath 2", [ "A", 31, 2 ],
[ ( 1,735, 59,692,819,184,515,898,658,624,552,364,566,421,451,935,758,229,
188, 68,403,114,600,492,900,301,338,134,850,277,794, 30,720, 35,707,
829,163,514,885,656,634,539,343,564,434,455,941,771,218,208, 90,382,
106,618,484,929,286,314,149,860,256,793, 17,718, 45,694,808,161,527,
889,662,647,528,363,586,413,447,959,763,247,193, 66,397,116,597,483,
916,284,324,136,839,254,806, 21,724, 58,683,828,183,506,881,680,639,
557,348,562,428,457,938,762,234,191, 76,384, 95,595,496,920,290,337,
125,859,276,785, 13,742, 50,712,813,159,521,891,659,638,544,346,572,
415,436,936,775,238,197, 89,373,115,617,475,912,308,329,154,844,252,
800, 23,721, 49,699,811,169,508,870,657,651,548,352,585,404,456,958,
754,230,215, 81,402,100,593,490,922,287,328,141,842,262,787, 2,719,
62,703,817,182,497,890,679,630,540,370,577,433,441,934,769,240,194,
80,389, 98,603,477,901,285,341,145,848,275,776, 22,741, 41,695,835,
174,526,875,655,645,550,349,576,420,439,944,756,219,192, 93,393,104,
616,466,921,307,320,137,866,267,805, 7,717, 56,705,814,173,513,873,
665,632,529,347,589,424,445,957,745,239,214, 72,385,122,608,495,906,
283,335,147,845,266,792, 5,727, 43,684,812,186,517,879,678,621,549,
369,568,416,463,949,774,224,190, 87,395,101,607,482,904,293,322,126,
843,279,796, 11,740, 32,704,834,165,509,897,670,650,534,345,583,426,
442,948,761,222,200, 74,374, 99,620,486,910,306,311,146,865,258,788,
29,732, 61,689,810,180,519,876,669,637,532,355,570,405,440,961,765,
228,213, 63,394,121,599,478,928,298,340,131,841,273,798, 8,731, 48,
687,820,167,498,874,682,641,538,368,559,425,462,940,757,246,205, 92,
379, 97,614,488,907,297,327,129,851,260,777, 6,744, 52,693,833,156,
518,896,661,633,556,360,588,410,438,955,767,225,204, 79,377,107,601,
467,905,310,331,135,864,249,797, 28,723, 44,711,825,185,503,872,676,
643,535,359,575,408,448,942,746,223,217, 83,383,120,590,487,927,289,
323,153,856,278,782, 4,738, 54,690,824,172,501,882,663,622,533,372,
579,414,461,931,766,245,196, 75,401,112,619,472,903,304,333,132,855,
265,780, 14,725, 33,688,837,176,507,895,652,642,555,351,571,432,453,
960,751,221,211, 85,380,111,606,470,913,291,312,130,868,269,786, 27,
714, 53,710,816,168,525,887,681,627,531,366,581,411,452,947,749,231,
198, 64,378,124,610,476,926,280,332,152,847,261,804, 19,743, 38,686,
831,178,504,886,668,625,541,353,560,409,465,951,755,244,187, 84,400,
103,602,494,918,309,317,128,862,271,783, 18,730, 36,696,818,157,502,
899,672,631,554,342,580,431,444,943,773,236,216, 69,376,118,612,473,
917,296,315,138,849,250,781, 31,734, 42,709,807,177,524,878,664,649,
546,371,565,407,459,953,752,235,203, 67,386,105,591,471,930,300,321,
151,838,270,803, 10,726, 60,701,836,162,500,893,674,628,545,358,563,
417,446,932,750,248,207, 73,399, 94,611,493,909,292,339,143,867,255,
779, 25,736, 39,700,823,160,510,880,653,626,558,362,569,430,435,952,
772,227,199, 91,391,123,596,469,924,302,318,142,854,253,789, 12,715,
37,713,827,166,523,869,673,648,537,354,587,422,464,937,748,242,209,
70,390,110,594,479,911,281,316,155,858,259,802)( 3,728, 51,708,815,
171,499,883,671,646,536,357,561,418,454,956,753,233,189, 77,392,119,
598,481,902,294,330,150,846,264,778, 15,733, 57,691,822,158,511,888,
677,629,543,344,573,423,460,939,760,220,201, 82,398,102,605,468,914,
299,336,133,853,251,790, 20,739, 40,698,809,170,516,894,660,636,530,
356,578,429,443,946,747,232,206, 88,381,109,592,480,919,305,319,140,
840,263,795, 26,722, 47,685,821,175,522,877,667,623,542,361,584,412,
450,933,759,237,212, 71,388, 96,604,485,925,288,326,127,852,268,801,
9,729, 34,697,826,181,505,884,654,635,547,367,567,419,437,945,764,
243,195, 78,375,108,609,491,908,295,313,139,857,274,784, 16,716, 46,
702,832,164,512,871,666,640,553,350,574,406,449,950,770,226,202, 65,
387,113,615,474,915,282,325,144,863,257,791)( 24,737, 55,706,830,179,
520,892,675,644,551,365,582,427,458,954,768,241,210, 86,396,117,613,
489,923,303,334,148,861,272,799),
( 1,656,345,644,738,684,905, 15,532,360,954,720, 33,930,604,544,112,
953,162, 58,837,602,761,107,302,175,802,807,664,748,634,304,702,781)
( 2,904,356,551,732,932,906, 46,558,608,947,100, 54,186,616,823,106,
767,169,306,826,788,745,665,283,640,800,683,657, 4,625,366,706,719)
( 3,377,350,458,723,312,907,418,549,887,941,565, 52,279,615,203, 96,
395,164,461,816,323,752,417,301,888,786,559,672,252,646,211,685,378,
9,439,351,334,721,405,921,883,538,577,951,255, 57,217,592,389,102,
457,165,337,814,416,766,882,290,578,796,249,677,190,623,397,691,440,
10,315,349,427,735,870,910,573,548,267,956,193, 34,403,598,451,103,
333,163,430,828,881,755,572,300,268,801,187,654,376,629,459,692,316,
8,408,363,892,724,560,920,263,553,205,933,379, 40,465,599,327,101,
426,177,895,817,571,765,262,305,206,778,373,660,438,630,335,690,409,
22,873,352,582,734,250,925,201,530,391,939,441, 41,341,597,420,115,
891,166,585,827,261,770,200,282,392,784,435,661,314,628,428,704,874,
11,563,362,272,739,188,902,387,536,453,940,317, 39,434,611,885,104,
581,176,275,832,199,747,386,288,454,785,311,659,407,642,893,693,564,
21,253,367,210,716,374,908,449,537,329,938,410, 53,899,600,575,114,
271,181,213,809,385,753,448,289,330,783,404,673,872,631,583,703,254,
26,191,344,396,722,436,909,325,535,422,952,875, 42,589,610,265,119,
209,158,399,815,447,754,324,287,423,797,869,662,562,641,273,708,192)
( 5,346,365,737,715,901,914,542,546,949,937, 38, 62,620,606,110,116,
178,182,833,819,757,758,293,299,795,776,652,655,624,645,707,688, 6)
( 7, 36,372,613,730, 95,922,170,554,825,943,751, 45,310,609,792, 94,
674,159,647,831,695,750, 14,284,361,799,714,653,903,635,552,701,936)
( 12, 67,359,489,743,126,927,232,539, 81,948,472, 61,155,617,234,105,
85,173,492,836,137,772,231,291, 82,793,466,681,128,648,242,694, 68,
18,470,371,148,741,219,911, 77,545,484,960,131, 59,248,601, 79,111,
488,185,151,834,230,756, 76,297,485,805,125,679,221,632, 87,700,471,
30,129,369,241,725, 64,917,480,557,143,958,224, 43, 93,607,482,123,
147,183,244,818, 75,762,479,309,144,803,218,663, 66,638,490,712,130,
28,222,353, 86,731,467,929,139,555,236,942, 69, 49,496,619,141,121,
240,167, 89,824,478,774,138,307,237,787, 63,669,469,650,149,710,223)
( 13,749,355,303,733,777,900,666,531,639,955,689, 37, 31,594,358,117,
736,157,926,821,540,763,944,286, 51,806,590,668, 97,643,180,709,812)
( 16,842,357,861,729,839,915,852,543,856,946,844, 47,868,605,854,109,
860,171,864,822,850,760,851,295,857,791,838,667,841,636,862,698,843)
( 17, 98,364,179,740,808,912,759,541,298,950,782, 32,682,593,637,118,
705,161, 27,811,354,768,727,281,919,790,528,670,934,627, 56,713,595)
( 19,935,348, 55,744,591,916,108,550,174,957,813, 44,775,603,296,113,
798,156,678,810,633,769,696,285, 20,780,342,675,717,622,924,697,533)
( 23,160,368,830,726,746,913,294,547,794,931,658, 35,651,614,699, 99)
( 24,718,343,923,728,529,918,945,534, 50,961,596, 48,124,612,172,120,
829,168,771,820,292,764,789,280,671,779,621,676,686,626, 25,687,347)
( 29,501,370,520,742,498,928,511,556,515,959,503, 60,527,618,513,122,
519,184,523,835,509,773,510,308,516,804,497,680,500,649,521,711,502)
( 65,390,474,464,134,338,225,415, 84,886,476,588,145,276,243,198)
( 70,421,487,898,135,586,238,260, 88,204,468,402,133,462,227,322)
( 71,452,475,340,132,431,239,880, 73,576,486,278,150,214,220,384)
( 72,328,473,433,146,896,228,570, 83,266,491,216,127,400,226,446)
( 74, 80,483,495,154,152,245,229)( 78,855,481,867,140,865,233,849)
( 90,235,477, 92,142,493,247,136)( 91,514,494,526,153,524,246,508)
(189,375,381,443,444,320,318,411,425,890,879,569,579,269,274,212)
(194,406,394,877,445,568,331,256,429,208,871,383,567,455,258,336)
(195,437,382,319,442,413,332,876,414,580,889,259,584,207,251,398)
(196,313,380,412,456,878,321,566,424,270,894,197,561,393,257,460)
(202,840,388,846,450,847,326,845,419,859,884,848,574,858,264,863)
(215,499,401,505,463,506,339,504,432,518,897,507,587,517,277,522)
(512,866) ] ],
[ 4, 67615075532642592962076366156210530912566907412833894400000000000000, 0,
"4c", [ [ 60, 1 ], [ 900, 1 ] ], 1, "Alt(31)^2.2^2", [ "A", 31, 2 ],
[ ( 1,232,395,780,337,354,262,869,108,953,594,709,416,851,559,294, 23,222,
399,788,324,342,263,891, 98,957,602,696,404,852,581,284, 27,230,386,
776,325,364,253,895,106,944,590,697,426,842,585,292, 14,218,387,798,
315,368,261,882, 94,945,612,687,430,850,572,280, 15,240,377,802,323,
355,249,883,116,935,616,695,417,838,573,302, 5,244,385,789,311,356,
271,873,120,943,603,683,418,860,563,306, 13,231,373,790,333,346,275,
881,107,931,604,705,408,864,571,293)( 2,243,397,799,320,343,274,893,
117,940,591,708,428,861,568,281, 26,242,396,785,312,367,273,892,103,
932,615,707,427,847,560,305, 25,241,382,777,336,366,272,878, 95,956,
614,706,413,839,584,304, 24,227,374,801,335,365,258,870,119,955,613,
692,405,863,583,303, 10,219,398,800,334,351,250,894,118,954,599,684,
429,862,582,289)( 3,233,380,778,326,349,251,884,101,933,605,690,406,
853,566,282, 16,225,375,791,318,344,264,876, 96,946,597,685,419,845,
561,295, 8,220,388,783,313,357,256,871,109,938,592,698,411,840,574,
287)( 4,247,389,794,322,361,255,896, 97,960,606,701,415,857,565,307)
( 6,239,393,781,332,362,254,890,114,936,611,703,409,859,579,285, 22,
238,378,797,331,347,270,889, 99,952,610,688,425,858,564,301, 21,223,
394,796,316,363,269,874,115,951,595,704,424,843,580,300)
( 7,245,376,805,327,360,260,888,100,958,593,712,420,856,570,299)
( 9,226,381,784,319,350,257,877,102,939,598,691,412,846,567,288)
( 11,235,403,786,328,372,259,886,124,941,607,713,414,855,589,290, 18,
248,383,793,341,352,266,899,104,948,620,693,421,868,569,297, 31,228,
390,806,321,359,279,879,111,961,600,700,434,848,576,310)
( 12,237,379,803,314,371,265,887,105,950,596,710,407,867,575,298)
( 17,236,384,795,317,369,252,898,110,949,601,702,410,865,562,309)
( 19,229,392,782,338,345,278,885,112,942,609,689,431,841,588,296)
( 20,224,400,779,340,358,267,880,113,937,617,686,433,854,577,291)
( 28,221,402,792,329,353,268,875,121,934,619,699,422,849,578,286)
( 29,246,401,804,339,370,277,897,122,959,618,711,432,866,587,308)
( 30,234,391,787,330,348,276,872,123,947,608,694,423,844,586,283)
( 32, 77,209,470,740, 44, 76,187,480,736, 36, 89,199,479,714, 46, 85,
191,492,726, 45, 63,201,488,718, 58, 75,200,466,728, 54, 67,213,478,
727)( 33, 88,211,489,723)( 34, 78,194,468,729, 39, 65,202,473,716,
47, 70,189,481,721)( 35, 92,203,484,725, 51, 69,214,469,743, 48, 81,
198,485,720, 59, 66,216,482,732, 43, 82,193,493,717, 61, 79,205,477,
733, 38, 90,190,495,730, 50, 74,206,472,741)( 37, 84,207,471,735, 52,
68,208,486,719, 53, 83,192,487,734)( 40, 71,195,474,722)
( 41, 64,212,490,737)( 42, 80,217,476,731, 62, 73,204,496,724, 49, 93,
197,483,744)( 55, 72,188,491,738)( 56, 86,196,467,739)
( 57, 87,210,475,715)( 60, 91,215,494,742)(125,170,147,160,151,168,
138,156,139,178,129,182,137,169)(126,181,149,179,134,157,150,180,148,
165)(127,171,132,158,140,163)(128,185,141,174,136,175,131,183)
(130,177,145,161,146,176)(133,164)(135,173,155,166,142,186)
(143,167,144,162,152,159,154,172)(153,184)(435,449,457,439,461,447,448
)(436,460,459,458,444)(437,450,442)(438,464,451,453,446,454,441,462)
(440,456,455)(445,452,465)(497,759,519,749,523,757,510,745,511,767,
501,771,509,758)(498,770,521,768,506,746,522,769,520,754)
(499,760,504,747,512,752)(500,774,513,763,508,764,503,772)
(502,766,517,750,518,765)(505,753)(507,762,527,755,514,775)
(515,756,516,751,524,748,526,761)(525,773)(528,914,829,625,678,540,
913,807,635,674,532,926,819,634,652,542,922,811,647,664,541,900,821,
643,656,554,912,820,621,666,550,904,833,633,665)(529,925,831,644,661)
(530,915,814,623,667,535,902,822,628,654,543,907,809,636,659)
(531,929,823,639,663,547,906,834,624,681,544,918,818,640,658,555,903,
836,637,670,539,919,813,648,655,557,916,825,632,671,534,927,810,650,
668,546,911,826,627,679)(533,921,827,626,673,548,905,828,641,657,549,
920,812,642,672)(536,908,815,629,660)(537,901,832,645,675)
(538,917,837,631,669,558,910,824,651,662,545,930,817,638,682)
(551,909,808,646,676)(552,923,816,622,677)(553,924,830,630,653)
(556,928,835,649,680),
( 1,442, 77,689,851, 19,349, 71,255,866,887,345,908,275,401,894,748,
916,585,382, 57,747,482,582,289, 62,313,477,613,302,961,330,198,605,
240,943,423,214,140,223,664,421,121,125,440,666,700,107)
( 2,783, 73,534,839,794,352,536,250,804,879,531,901,802,383,553,746,
792,569,537, 33,778,476,551,281,806,321,539,591,798,941,547,188,791,
228,540,405,803,135,533,653,793,104,528,436,790,693,541)
( 3,473, 86,286,868,329,353,598,271,959,888,190,915,244,385,429,772,
141,564,661, 49, 96,466,458,294,713,324, 12,597, 85,937,857,205,357,
226,261,432,896,128,905,678,390,119,745,451,573,692, 45)
( 4,907, 89,379,863,763,358,567,258, 60,871,469,923,306,403,336,756,
606,581,940, 51,189,481,241,292,434,338,136,595,674,948,113,187,450,
232,695,417, 28,132, 68,658,855,112,342,443,263,711,882)
( 5,814, 83,162,842,825,362,164,253,835,889,159,904,833,393,181,749,
823,579,165, 36,809,486,179,284,837,331,167,594,829,951,175,191,822,
238,168,408,834,145,161,656,824,114,156,439,821,703,169)
( 6,659, 80,100,838,453,356,691,262, 29,876, 66,906,864,391,367,753,
265,587,878, 35,902,492,396,305,775,327,570,599, 54,933,485,210,295,
248,323,415,617,147,936,671,204,109,218,447,418,710,138)
( 7,845, 81,348,846,267,370,877,252,928,895,376,925,771,389,584,754,
48,561,475, 55,282,496,334,291,620,333,942,609,209,946,237,199,419,
245,137,409,679,142, 99,652,452,108,683,448, 15,690, 76)
( 8, 70, 69,844,856,360,350,257,277,897,872,903,926,399,398,770,761,
575,568, 41, 34,468,489,303,310,341,322,601,612,953,950,206,202,233,
230,416,431,152,130,657,669,111, 94,435,449,697,696, 14)
( 9,256, 91,875,841,918,368,381,274,773,885,562,909, 58,375,491,768,
296,589,320, 43,592,488,954,299,217,326,229,602,426,958,144,192,667,
235,106,404,462,139,688,665, 18,101, 63,441,852,701,355)
( 10, 39, 65,472,861,298,372,319,260,618,891,934,919,213,388,243,757,
420,586,134, 37,654,483,117,280,465,325,694,603, 23,938, 82,193,853,
236,354,412,276,153,874,655,917,120,373,460,759,699,572)
( 11,535, 64,782,848,546,343,784,259,556,870,779,910,554,374,801,755,
544,560,785, 42,530,467,799,290,558,312,787,600,550,932,795,197,543,
219,788,414,555,126,781,662,545, 95,776,445,542,684,789)
( 13,411, 90,131,843,670,359,102,249,463,883,686,913, 27,380, 88,751,
854,577,351, 40,251,494,892,283,930,337,384,615,767,947,578,196, 47,
220,478,427,307,155,316,663,607,116,931,454,201,698,231)
( 16,225, 75,410,865,143,347,660,266,122,869,438,914,709,386, 26,752,
79,565,847, 50,344,474,272,308,899,314,911,616,395,956,764,203,574,
227, 44,406,493,148,285,682,328,105,590,457,945,702,200)
( 17,566, 72, 38,840,484,365,288,279,339,880,593,922,957,392,212,760,
234,571,413, 59,127,471,675,297,124,311,446,604,705,944, 20,194, 78,
224,850,422,369,133,254,680,886, 97,900,461,387,708,758)
( 21,163, 67,813,858,174,346,815,269,184,873,810,920,182,377,832,765,
172,563,816, 52,158,470,830,300,186,315,818,610,178,935,826,207,171,
222,819,424,183,129,812,672,173, 98,807,455,170,687,820)
( 22,628, 84,627,859,639,363,629,270,649,890,624,921,647,394,646,766,
637,580,630, 53,623,487,644,301,651,332,632,611,643,952,640,208,636,
239,633,425,648,146,626,673,638,115,621,456,635,704,634)
( 24,287, 93,317,849,608,364,939,268,215,884,221,912,430,400,150,750,
668,576,103, 32,437,480,706,293, 31,318, 74,596,860,949,361,195,264,
246,881,407,927,151,378,677,762,110,559,444, 46,685,479)
( 25,721, 92,503,862,732,371,505,273,742,898,500,924,740,402,522,769,
730,588,506, 56,716,495,520,304,744,340,508,614,736,960,516,211,729,
247,509,428,741,154,502,676,731,123,497,459,728,712,510)
( 30,504, 87,720,867,515,366,722,278,525,893,717,929,523,397,739,774,
513,583,723, 61,499,490,737,309,527,335,725,619,519,955,733,216,512,
242,726,433,524,149,719,681,514,118,714,464,511,707,727)
(157,780,817,548)(160,811,827,176)(166,532,808,796)(177,625,828,641)
(180,718,836,517)(185,501,831,734)(498,800,724,557)(507,552,715,805)
(518,645,735,650)(521,738,743,526)(529,777,786,538)(549,622,797,631)
] ],
[ 5, 67615075532642592962076366156210530912566907412833894400000000000000, 0,
"4c", [ [ 60, 1 ], [ 900, 1 ] ], 1, "Alt(31)^2.4", [ "A", 31, 2 ],
[ ( 1,437,298,831,389,612,913,894,268, 10, 65,291,180,393,116,915,677,255,
785, 86,477,168,734,108,512,657,937,797,706,473,416,741,635,505,223,
941,580,683,442,422,834,637,598,231,879,578)( 2,530,309,862,377,767,
928, 57,250,537, 92,849,160,765,122, 47,653,534,805,861,470,757,742,
46,498,533,960,859,687,752,432, 59,622,536,247,848,563,745,463, 50,
808,544,619,851,873,764, 29, 34,281,552,402,860,904,770,277, 41, 64,
539,185,858, 98,760,680, 38,777,551,495,850,718,759,525, 37,932,549,
712,845,408,772,649, 40,219,538,588,838,439,763,835, 48,591,541,898,
857, 5,747,308, 56,374,550,929,863,253,754, 91, 43,157,548,123,853,
656,751,804, 55,467,540,743,852,501,750,959, 53,684,535,433,865,625,
753,246, 42,560,528,464,856,811,761,618, 45,870,547, 30,840,284,769,
401, 54,901,553,278,847, 67,756,184, 52, 95,543,681,844,780,768,494,
44,715,542,526,843,935,766,711, 39,405,555,650,846,222,755,587, 32,
436,546,836,854,594,758,897, 51)( 3,282,304,397,395,922,925,274,258,
72, 74,167,176,114,109,667,658,782,799,489,478,726,728,511,502,936,
952,704,690,411,431,648,629,226,228,569,559,435,453,825,823,606,603,
882,888, 20)( 4,127,306,335,390,364,903,150,275,320, 80,353,159,145,
120,326,669,348,779,148,492,323,731,356,500,130,957,332,700,349,407,
152,647,319,235,352,562,125,461,329,824,358,593,138,895,330, 18,344,
283,149,399,333,917,367,252,134, 89,322,173,362, 97,140,678,317,793,
365,469,137,740,325,514,347,934,146,709,318,421,369,624,133,244,321,
576,342,438,143,833,327,607,355,872,144, 27,313,297,366,376,147,926,
336,266,351, 66,136,182,331,111,357,655,131,802,334,483,354,717,139,
523,316,948,363,686,132,430,338,638,350,221,135,585,311,452,360,810,
141,616,324,886,361)( 6,933,301,707,380,426,927,646,257,227, 73,570,
156,455,112,822,668,596,789,892,485, 13,716,294,521,378,953,921,708,
256,413, 90,632,164,238,104,574,652,441,794,830,482,602,727,883,516)
( 7,778,303,490,385,736,914,522,254,940, 84,694,163,424,121,636,660,
224,786,582,466,447,732,821,513,595,944,890,702, 8,406,307,645,381,
240,910,584,249,444, 81,818,172,610,107,884,671)( 9,220,290,583,373,
457,918,832,265,599, 76,880,175, 21, 96,295,676,379,798,923,491,261,
723, 77,508,161,951,115,698,659,410,803,644,474,230,724,573,497,440,
949,828,699,597,417,896,640)( 11,561,280,459,391,829,916,615,262,878,
82, 12,158,300,118,388,674,906,801,272,475, 75,725,170,517, 99,946,
673,689,783,427,493,633,722,232,507,564,931,456,701,814,420,617,634,
877,237)( 14,871,299, 25,375,302,924,398,271,909, 88,260,165, 83,105,
171,672,100,791,675,472,788,737,480,509,719,945,518,688,938,425,710,
628,412,245,631,567,218,445,577,807,451,608,820,885,609)
( 15,499,285,955,394,705,907,429,276,630, 71,229,166,579, 94,450,670,
813,792,613,479,881,733)( 16,654,286,800,396,488,912,739,263,506, 68,
942,177,703,101,419,679,627,784,241,476,571,714,449,515,812,947,611,
696,876,423, 28,623,288,242,383,581,900,460,267,816, 79,601,169,889,
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663,162,796,117,481,664,720,790,520,471,943,735,697,504,409,958,642,
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106,729,666,503,781,954,487,695,721,418,524,626,939,239,693,566,404,
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336,268, 12,158,302,926,338,640, 11,561,283,151,339, 51, 5,747,310,
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102,160,574,165, 56,661,532,614,457,502,409,671,307,290,184)
( 5,508,330,813,698,525,634, 22,916,917,587,575,707,582, 36,494,840,
216,905,858,353,177,794,576,677,314,815,785,200,652,679,910)
( 6,607,629, 46,258,451,476,358, 67,764,357,894,832,365,338,826, 89,
924,438,348,829,650,331,220, 10,690,734,686, 34,339,662,245)
( 9,312,328,950,232,390,477,612,889,202,923,567, 14,395,195,377,366,
754, 92,683, 29,799,375, 38,416,172,474,443, 27,892,209, 76)
( 11,171,150,203,725,161,425,269,668,706,810,526,257,630,385,951,117,
187,453,213,911,356,305,296, 69,363, 78,611,105,883, 18,224)
( 13,127,554,778,722,415,119,207,579,938,130,681,800, 17,228,568,405,
685,479,144,293,860,235,641,470,219,571,283,463, 57,491,882)
( 15,468,397, 93, 24,715,199,436,928,204,263,558,101,484,464,488,748,
753,498,859,516,937,138,347,605,237,851,689,394,814,555,454)
( 16,672,471,618,522,396,903,739, 50,530,550,391,802,844,850,824,362,
452,675,852,524,206,279,572,756,133,687,702, 21,922,699,635)
( 19,243,670,784,877,306,740,334,514,226,578,327,156,562,899,504,653,
318,112,392,229,569,780,959,116,667,821,218,590,678,382, 75)
( 20,866,196,256,609,250,691, 73,853,733,244,771,838,941,624,427,369,
131,304,952,510,700,726,729,736,925,596,521,480,762,537,731)
( 25, 74,902,939, 28, 60,417,404,640,266,461,561,828,606,408,460,682,
349,648,855,827,386, 48,433,301,727,884,252,298,871,880,278)
( 26,553, 64,906,724,106,547,188,541,601,893,777, 66,260, 35,317,276,
201,834, 61, 68, 71, 97,287,807,493,666,428,370,173,818,921)
( 30,152,285,801,193,881,169,684,374,473,673,535,368,284,302,615,713,
80,261,743,868,758,703,943, 86,658,170,132,732,322,424,548)
( 32,511,341,355,211,421,297,103,874,316,755, 40,797,720,121,570,280,
352,948,154,529,384,839, 62,291,600,277,646,248,478,335,592)
( 33,730,439,321,346,539,751,168,190,791,552,135,458,763,111, 63,107,
787,577,466,147,930,449,359,835,708,933,459,432,927,865,440)
( 37,674,455,104,803,153, 51,701,351,642,543,310,399,308,109,750,180,
580,929,544,546,274,863,898,817,745,953,311,503,887,918,212)
( 39,891, 54,536,717, 84,182,495,513,429,262,124,324,423,113,628,878,
604,958,512,645,767,249,373,475, 65,665,627,139,711,816, 94)
( 41,225,518,591,273,907,122,345,435,935,909,915,957,406,247,267,747,
58,856,401,275,179,326,125,781,162, 98,837,776, 95,110,664)
( 42,481,885,694,500,376,586,442,456,286,765,205,462,319,549,151,520,
197,506,735,920,413,268,643,811,445,517,227,676, 77,962,757)
( 43,431,420,602,402,783,230,836,595,870,185,320,407,565,809,469,485,
788,721,588,867,770,354,323,625,381,759,422,960,768,114,705)
( 44, 49,309,333,313,696,239,534,593,831,361,598, 82,773,704,400,329,
782,343,242,945,403,108,908,560,192,450,659,822,281,900,299)
( 47,688,489,398,487,254,155,446, 96,746,644,956,693,342,123,760,585,
841,872,294,486,806, 52,942,861,896,523,251,253,830,217,617)
( 59,926,752,742,246,315,583, 85,655,241,819,563,914,538,793,613,507,
490,126,388,295,340,183,265,136,741,632,223,637,695,371,137)
( 70,496,364,749,411,932,904,149,448,115,337,389,191,931,236,336,531,
157,393,380,737,769,820,857,723,772,519,879,888,499,545,875)
( 72,594,647,626,786,573,779,876,692,186,719,434,728,501,492,441,848,
584,344,610,680,808,412,167,540,271,949, 91,129,528,372,636)
( 81,231,669,847,100,796,657,379,292,189,649,744,622,599,447,862,805,
240,766,414,955,936,589,174,387,270,890,437,367,146,238,798)
( 88,533,178,603,790,332,515,300,633,795,134,542,233,825,325,718,639,
710,378,913,895,166,812,886,616,141,638,714,789,288,654,774),
( 1,656,935, 56, 97,263,259,794,483,172,707,703,869,910, 31,310, 3,
453,464,780,308,848,105,338,890,528,943,243,267,442, 38,626,769,378,
533,474, 85,952,451, 78,224,519,285,807,365,863,954,774,781,583,925,
393,607,738,641,873,476,944,880, 63,958,575,549,621,302,234,211,857,
77,212,156,684,360,798,429,426,523,466,709,837, 72,545,629,710,797,
247,690,550,236, 99,132,518,206,920,357, 28,279,150,287,843,826,467,
200,767,752,777,722, 82,918,288,680,506,682,505, 15, 6,209,555,424,
560,665,850,957,625,891,120,472,580,651,714,508,817,892,700,622,908,
926,649,602, 13,142,504,909,645,202,828,942,245,887,852, 7,126,143,
956,749,314,800,265,940,815,332,736,619,296,525,655,141,147,326,137,
269,784,233,163,720,541,456,642,558,354,838,167,512,409,385,432,413,
250,176,551,522, 37,352,479,564,223,303,727,765, 59,213,170,686,718,
435,320,139,295,644,131,526,904,389,637, 30,734,659,122,179,117, 19,
900,102,616,647,480,740,748,388,115,392, 84,501,367,380,158,495,565,
362,770,762,618,822,934,133,643, 81,693,694,654,215, 43,543,962,821,
596,164,893,104,108,613,775,630,216,785,669,832,712,410,219,569,624,
831,225,706,662,394, 60, 90,896,708,255, 27,897,809,300,382,316,902,
162,379, 89, 50,521,917,210,698,130, 88,633,729,449,717,773,313,879,
792,778,600,758,327,450,165,772,334,183,459,611,713,941,667,872,281,
592,527,585,883, 61,371,615,404,177,546,452, 68,431,668,605,100,520,
468,473,235,571,779,660,127,691,119,820,566,457,171,776,638,470,434,
403,865,786,901, 16,283, 34,860,529, 18,568,207,318,812,930,294,203,
475, 5, 45,855,478,136,955,657,623,221,912,728,635,485,241,724,675,
856,124,489,482,530, 53,414,594,229,373, 98,220,579,538,705,399,673,
113,339,875,548, 51,554,704,768, 44,744,407,631,195,688,422,591,561,
419, 39, 42,818,608, 20,597,377,841,178,270,715,107,346,356,539,463,
676,726,874,511,791,121,390,937,782,227,330,570,497,919, 52,854,870,
55, 35,949,692,271,805,376,349,289,814,160,899,582,895,674, 80,231,
793,871, 33,205,430,661,603,264,945,277,598,153,811, 2,155,813,368,
689, 21,702,363,305,536,761,933, 95,173,735,886,292, 71,384, 67,806,
152,677,617,590,161,695,274, 17,931,911, 96,112,914, 47,469,396,636,
739,184, 29,576,845,175,455, 92,240,290,503,427,610,620,859,251,696,
788,125,589,369,946,358,148,924,927,547,405,375,544,278,771,335,559,
222,922,198,262,412,915,418, 91,627,853,293,567,261,428,387,746,868,
593,737,372,552,913,436,484,477,842,110,291,242,725,481,331,238, 54,
745,343,309, 11,830,488,111,921,961,491,763,672, 36,154,648,759,398,
948,437,106,932,683,950, 65,180,101,563,532,496,328,190,795,509,400,
146,847,275,839,306,187,395,731,493,498,446,866,361,298,535,898,514,
420,789,562,351,595,905, 83,381,439,374,685, 94,299, 25,253,355,507,
783,632,194,801,516,639,208,366,188,174, 87,653,193,249,517,237,333,
878,836,268,756, 49,445,916,877,587,804, 64,650,584,666,157, 69,939,
711,258, 70,876,906,572,304,260,741,135,342,397,747,556,254,134,297,
181,750,336,191,353,858,862, 73,802,370,145, 4,423,923,751,312,272,
273,885,323,833, 32,144,348,204,196,604,401,471,808,586,599,465,882,
574,851,578,218,226,486,319,350,864, 66,947,849,787,844,307,232,936,
329,577, 62,440,835,322,671,827,646,531,248,280,796,753,907,201,239,
663,743,402,487,614,929,444,415,790,716,553,534,581,557,454,799,128,
612,408,324,510,425,246,803,733,182,697,829,640,819,825,311,441,670,
347,230,634,151, 26,701,166,652,217, 10,823,840,959,114, 79,721, 24,
138,764,321, 57,462,824,953,364,317, 40, 58,344,266, 74,149,458,252,
315,386,494,846, 75,341, 9,116,301,406,542,411,757,960,951,461,284,
460,286,678, 48,884,244,189,214,199,766,499,140,123,679,816,687,938,
609, 46,760,448,834,867,730,416,276,719,169,256,337,421,894,129,257,
500,443,540,537,168,606,282,810,754,889,109,755,732,664,345,417,391,
8,903, 86, 22,490, 93,325,228,359,573, 41,383,185,192, 12,103,601,
159,681,447,742,888,515, 14,881,492,433,588,197,340,928,524,699,723,
23,438, 76,628,861,118,658,186,502,513) ] ],
[ 3, 887502720, 0, "2", [ [ 961, 1 ] ], 2, "PSigmaL(2, 31^2)",
[ "L", [ 2, 961 ], 1 ],
[ ( 1,820,844,577,127,163, 62,376)( 2,949,426,637,331,291, 95,836)
( 3,269,648, 73,179,877,787,515)( 4,420,587,819,788,834,940,196)
( 5,186,243, 60,824,123,735,110)( 6,103,568,817,818,270,507, 69)
( 7,624,920,928, 58,529,692,226)( 8, 87,852,526,888,760, 24,310)
( 9,825,472,644,695,893,450,359)( 10,477,707,725,934,925,717,136)
( 11,749,314, 59,596,241,316,435)( 12,180,443,612,201,464,442,140)
( 13,313,864,101,436,230,904,962)( 14,810,653,261,250,422,868,429)
( 15,527,724,954,462,206,398,704)( 16,738,883,639,345,358,252,509)
( 17,723,114,317,172,400,130, 51)( 18,335,821,867,300,146,173,866)
( 19,105,611, 80,438,658,144,315)( 20,120,935,474,350,403,947,579)
( 21,755,932,603,100,726,865,829)( 22, 78, 55,794,301,432,869,274)
( 23,563,155,857,107,736,547,590)( 25,672,797,360,271,473,558, 56)
( 26,543,378,879,364,550,138,216)( 27,761,622,921,654,259,696,383)
( 28,210,498,643,280,575,379,215)( 29,562,809,425,551, 66,133,702)
( 30,801,586,546,296, 90,909,944)( 31,465,713,346, 33,285,336,220)
( 32,349,651,290,267,669,242,831)( 34,623,347,790,117,894,246,902)
( 35,309,952,885,743,390,853,511)( 36,714,392,542,745,411,690,372)
( 37,118,549,191,783,486,260,608)( 38,255,798,453,919,860,424,496)
( 39,516,812,158,190,778, 48,382)( 40,266,187,487,248,463, 74,171)
( 41,898,386,767,910,595,265,937)( 42,685,222,121,570,780,447,381)
( 43,676,955,875,649,256,668,785)( 44,777,481,234,593,616,293,683)
( 45,164,631,134,177, 61,861,200)( 46, 99,292,160,325,307,440,273)
( 47,842,488,245,329,139,174,356)( 49,405,807,873,235,445,753,334)
( 50,461,715,458,559,279,264,680)( 52,431,591,408,534,428,538,958)
( 53,548,402,926,757, 88,808,388)( 54,901,716,878,828,351,303,881)
( 57,129,960,805,478,565,640,433)( 63,512,645,322,659,751,700, 76)
( 64,771,896,775,582,718,145,295)( 65,732,943,489,628,933,863,184)
( 67,789,811,720,319,149,930,533)( 68,663,851,914,848,494,629,671)
( 70,178,479,396,691,770,957,204)( 71,796,108,627,418,412,185,731)
( 72,889,152,151,142,475,503,490)( 75,948,610,553,814,455,657,597)
( 77,905,492, 84,244,510,278,841)( 79,170,122,678,466,302,839,448)
( 81,415,176,519,846,686,822,407)( 82,734,399,666,923,137,306,132)
( 83,106,750,288,594,560,297,874)( 85,688,541,872,373,249,647,166)
( 86,763,499,508,880,365,887,257)( 89,802,460,491,370,741,916,341)
( 91,239,434,276,633,162,524,891)( 92,768,813,262,449,662,856,936)
( 93,721,540,148,709,924, 94,667)( 96,613,581,655,840,687,615,320)
( 97,635,656,128,333,781,441,711)( 98,353,437,380,621,786,181,708)
(102,339,467,323,953,421,208,457)(104,754,342,525,574,223,485,710)
(109,263,476,404,536,468,938,799)(111,391,684,518,946,506,387,454)
(112,199,502,588,298,642,556,385)(113,906,532,835,626,227,693,730)
(115,907,193,294,870,501,892,552)(116,915,908,150,423,483,482,795)
(119,961,748,679,471,545,567,410)(124,838,784,561,555,228,599,742)
(125,922,305,363,862,625,739,236)(126,859,772,614,451,837,900,338)
(131,366,759,282,430,446,766,681)(135,850,182,634,804,517,544,942)
(141,752,355,530,782,397,605,569)(143,384,539,584,913,832,169,211)
(147,493,286,406,213,159,183,427)(153,371,606,773,636,833,535,238)
(154,791,232,918,417,855,439,803)(156,903,229,816,701,882,823,188)
(157,728,497,251,308,694,299,469)(161,189,237,793,224,927,287,531)
(165,272,212,652,765,495,505,699)(167,258,207,393,845,939,697,849)
(168,367,661,792,344,675,522,459)(175,950,233,416,330,665,217,484)
(192,897,324,682,762,513,240,578)(194,727,774,413,673,283,703,202)
(195,729,275,689,806,737,205,895)(197,452,394,746,514,719,826,573)
(198,219,589,674,520,598,776,528)(203,326,871,444,698,247,328,377)
(209,585,945,332,931,911,321,847)(214,409,758,858,500,537,318,221)
(218,959,876,374,744,327,504,362)(225,554,268,480,470,583,843,706)
(231,619,827,564,886,917,401,311)(253,956,600,601,769,523,254,929)
(277,677,352,705,618,941,830,733)(281,951,884,670,747,571,607,800)
(284,304,609,641,650,660,664,354)(289,912,389,779,340,557,617,740)
(312,632,456,576,566,368,357,604)(337,414,592,572,375,620,602,580)
(343,361,369,712,521,854,722,756)(348,395,899,646,764,638,630,815)
(419,890), ( 1,621, 21,702,612,473,333,144,361,105,956,308,305,270,
79,115,357,457,163,497,918,786,625, 80, 86,799,317,579,738,719,462,
314,343,431,703,135, 38,669,791,615,381, 20,685,955,855,231,677,643,
491,179,863,188,760,489,581,408, 71,567,761,122,655,682,218,775, 37,
460,521,549,843,326,322,785,792,436,161,548, 33,159,316,554, 76,203,
196,773,358,743,732,845,633,246,240,622,715,278,740,644,959, 14,334,
889,769,894,795, 53, 30,911,755, 4,946,834,829,394,886, 64,768, 66,
7,157,706,107,449,925,807,505, 26,140,571,596,818,926,514, 8,171,
915, 77,486,395,166,665,842,939,835,451,495,929,371,403,710,695, 9,
320,927, 56,251,885,805,238,882,873,492,564,718,348,641,312, 28,476,
272,242,901, 46,500,709,949,716,661, 95,430,130,296,440,106,455,736,
373,237,201,816,187,952,764,289,597,402,779, 85,594,271,228,156,267,
890,336,862,802,396,728,154,315,847,475, 35,721,572,570,613,637,711,
917, 15,307,604,650,463,934,757,504,552,762,694,404,258,659,798,756,
261,194,767, 2,225, 45,421,170,525,700,248, 54,354,832,819, 59,347,
566,474,397,417,723,741,652,134,321,675,887,529,962,465,230,484,857,
771,388,452,670,765,127,876,351, 63,191,116,864,617,291,936,129,584,
800,186,693,366,207,216,208,794,577,673,900,279,896,165, 62,821,266,
903,874,523, 51,243,848,602,671,748,112,197,951,104, 10,914,281,158,
742,922,441,213,392,448,250,708,124,177,433,948,961,879,902,589,265,
65,478,568,461,520,789,691,635,770,916, 57,193,562,300,252,701,627,
937,535,292,645,543,547,957,678,639,690,429,820,229,824,638,811,269,
447,784,236,190,508,538,264, 92,409,542,908,255,214,883,618, 55,139,
790,866,878,524,189, 29,653,587,470, 11,468, 41,479,667,941,147,426,
137,172,912,164, 42,198,464,938,359,488,221, 12,471,445,867,380,356,
556,406,910,574,420,133,117,184,931,249,450,746,432,933, 94,788,303,
40,919,576,519,377,744,443,605,226,369,750,220, 52,808,413,672,803,
239,442, 82,410,647,128,923,681,783,609, 98,341,120, 83,588,774, 44,
49,877,687,323,575,751,698,814)( 3,411, 72,183,111, 68,707,254,522,
899,704, 50,537,349,152,485,138,102,928,565,846,233,861, 43,209,871,
244,640,585,352,592,801,293,400, 97, 67,825,311, 27,660,953,583,737,
809,428,419,101,496,416, 88,283,374, 19,330,606,591,898,930,372,806,
850,466,362,459,636,173,906,815,262,386,168,331,787,375,483,705,730,
199,313,796,494,376,852,232,595,182,332,273,533,275,415,907,472,467,
355,335,546,390,309,286,506,407,532,412, 5,325,342,657,561, 61,586,
679, 99, 93,668,456,569,558,943,528,143,136,263,747, 23,180,306,753,
178,865,509,516, 17, 13,458,752,780,841,302,526,121,619,646,217,540,
734,268,893,720,812,541,151,438,160,810,658,624,108,446,346,616,319,
920,686,510,632,301,204,598,870,958, 25,839,582,563,722, 22,502,253,
259,676,515,383,804,176,844,944,224,260, 69, 34, 31,345,234,940,195,
6,828,689,599,318,680,338,487,603,550,726, 16,614,424,290,295,527,
713,256,219,960,241,692,518,620,378,211,654,891,257,859,100,498,629,
888,493,287,119,551,932,113,696,858,557,924,782,725,382,299, 36,513,
245,368,869,555,851, 90,370,155,222,206,881,727,391,895,745,945,921,
434,856,830,327,118,813,942,363,837,141,297,175,389,167,202,875,192,
360,634,822,298,833,328,831,714,648,310,150,777,423,435,511,200,284,
683,418,125, 84,393,759,892,247, 75,763,793,149,103,517,854, 70,490,
663,477,110,481,872,611,662,623,344,754,758,656, 47,766,364,674,600,
87, 39,739,146,282,385,531,666,610,512,781,840,733,823,274, 74,712,
399,422,340,353,868,162,215,593, 89,853,909,126,860,379,559,181, 58,
387,329,235,350,142,227,553,630,699,453, 96,288,778,427,398, 73,480,
277,174,405, 60,401,628,724,507,131,123,132,935,608,153,501,717,210,
365, 48,684,437,223,148,276,950,425,212,536,631,849,913,530,444,817,
109,836,339,772,414,626, 18,205,649,560,578,884,904,827,735,954,280,
482,469,947,285, 91,601,776,169,880,294,114,337,534,145, 78,545,503,
642, 81,897,607,539,749,797,544,367,838,651,697, 32,324,384,590,664,
688,731,729,580,304,826,454, 24,185,573,905,499,439) ] ],
[ 4, 887502720, 0, "2", [ [ 961, 1 ] ], 3, "PSL(2, 31^2).2_3",
[ "L", [ 2, 961 ], 1 ],
[ ( 1,282,850,828,179,679,379,181,546,302,240,171,770, 57,157,259,314,242,
236,498,376, 98,522,266,474,193,444,105,869, 62,851,680,757,938,200,
646,558,932, 26,122,601,616,843,388,870, 5,877,394,732,359,284,183,
579, 82,212,647,518,577,860,749,950,307,382,710)( 2,716,890,700,935,
565,151,529, 28, 60,517,214,767,251, 13,721,493,542,318,821,401,839,
905,636,312,258, 71,441,425,738,364,751,138,644,705,304,656,468,213,
459,534,159,847,104,384,640,606,580,600, 14,402,812,262,226,780,559,
916,715,945,564,554, 67,516, 92)( 3, 37,655,502,417,351,166,507,337,
840,247,254,467, 90,442,486,604,426,229,962,158,907,280,607,188,598,
510,762,423,422,461,315,772,328,112,625,637,808,696,430,403,227,718,
245, 38,524,481,345,923,815,478,852,374, 44,881,537,726,501,406,366,
846,350,547, 12)( 4,874,654, 70,793,902,435,135,249,567,418,137,195,
378, 95,253,884,943,437,360,578,856,744,291,117, 51,829,617,863, 19,
144,431,892,198, 25,202,234,221,453,667,470,473,148,136,771, 74,155,
414,740,867, 59,332,958,820,733,761,451,367,310,458,693,803,639,776)
( 6,650,568,758,824,760,807,736, 47,722,895,338,764,172,885,714,387,
385,238,787,784,691,356,483,759, 27,317,750,489,255,419,342, 22,781,
883,142,707,343,672, 18, 99,168,678,288,450,125,944,492,134,368,420,
822,128,503,386,685, 42,167,961,712,873, 7,800,222)( 8,889,141,126,
408,479,533,669,658,283,925,264, 96,727,146,959,383,560,393,124,834,
704,765, 72,432,737,201,175,504,947,917,528, 73,912,936,677, 17,190,
52,879, 87,657,130,436, 31,939,149,582,562, 94,865,390,634,521,301,
464,232,530,673,371,683,218,920,133)( 9,495,871,814,648,511,817,446,
631,591,273,809,412,893,100,628,427,448,373,256,756,651,615,349,333,
407,108,614, 45,457,326,747,911,346,295,731,918,785,596,211,613, 69,
832, 24, 79,428,174,433,922,621,203,140,237,835,949,896,322,794,488,
380,629,862,182,796)( 10,321,484,365,127,165,630,494,409, 48,187,297,
876,398,389,703,154,490,538,539,119, 36,891,209,329,207, 32, 61,362,
818,942, 40,506,476,107, 54,339,789,802,612,783,323,397, 39,587,233,
940,746,177,482,933,953,848,674,695,265,536,469,602,880,545,132,676,
491)( 11,909,160,296,413,826,827,520,243,687, 41,887,836,216,145,103,
551,684,235,116,194,206, 88,548,300,854,278,487,377,782,274,334,347,
189,228,196,841,223,153,465,937, 78,514,508,611,866,739,309,675,215,
114,197,523,622,268,592,110,544,509,690,120,830,799,752)
( 15,811,697,316,779, 77,955,583,440,375,241,279,795,681,661,352, 55,
894,861,728,753,344,156,330,513,306,849,308,805,416,816,844,355, 97,
541,354,610,899,742,381,670,563, 83,244,897,698,603,574,709,941,948,
778,763,898,298, 86,888,723,336,924,581,285,260,724)( 16,185,872,692,
831,588,515,143,921,585,230, 66, 63,348,823,663,239,370,653,429,906,
954, 93,294,267,605,946,643,557,556,956,878,798,786,543,908,952,837,
391,462,327,624,455,599,552,819,129,729,913,900,225,649,838,411,719,
101,792,519,689,220,788,660,766,340)( 20,777,275,353,882, 75,903,570,
311,708,115,472,477,443,106,569,540,325,293,269,139,372,424,858, 81,
535,566,531,439,208,109,694,447,797,162,741,774,497, 46,623,666,594,
505,358,886,496,434, 29,395,713,480,289,152,276,147,331,645,842,471,
224,662,735,191,790)( 21, 68,396,527,324,576,456,363,525,668,711,769,
250, 56,261,572,217,901,553,701,910,745,313,575,205,934, 49,186,405,
597,271,801,825,392,626,113,111,584,287,320,369,833, 89, 65,806,743,
485,454,730,277,178, 50,768,590,303, 64,118,248,357, 43,463,859,169,
857)( 23,652,642, 30,927,930,773,593,526,399,960,845,589,864,951,868,
755,635,163, 85,184,449,791, 53, 84,775,875,210,404,706,595,123,421,
813,919,688,914,929,586,499,671,931,632,164,180, 34,561,192,400,290,
58,263,292,608,904,699,619,305,957,246,627,734,500,199)
( 33,720,754,319,161,609,665,452,748,659,573,717, 91,415,299,810,549,
618, 76,438,915,173,131,257,176,475,102,620,550,555,512,252,121,571,
150,270,286,204,804,686,664,272,466,170,460,231,682,926,219,445,532,
633,853,638,410, 80,361, 35,928,855,702,281,641,335)(341,725),
( 1,632,272,537,911,722, 44,536,207,383,180,523,182,592,152,929, 74,
402,334,918,916,395,284,785,351,742,854,426, 65,766,365,103,659,645,
225,845,682,584,904,933, 46,897,161,271,837,321,529,773,283,446,823,
235,506,576, 19,239,905,323,545,847,643,631,277,250)( 2,554,197,423,
638,628,418,135,772,126,196,658,140, 12,376,596,169, 49,122,624, 37,
875, 85, 57,726,913,564,557,591,718,144,253,297,648, 14,614,563,397,
746,765,950,676,607,364,384,359,153,849,675,507,616,298,758,908,342,
175,723,261,463,184, 34,644,620,715)( 3,803,926,755,805,445,565,393,
779,784,280,223,106,264,836,332,556,774,528,101,404, 52,811,495,959,
241,702,373, 7,939,238,729,468,606,340,157,885,744,919,686,934,829,
252,544,570,952,851,439,844,872,732,355,666,151, 29,619,142,356,243,
814,801,240, 76,203)( 4, 97,543,621,118,705,798,368,162,709,615,498,
120,171, 30,623,807,673,279, 47,750, 11,336,360,813, 99,287,299, 6,
841,924,178,795,518,471,202, 62,159,799,549,677, 26,288,542, 94, 15,
586,352,891,421,409,561,266,408,500,222,195,407,273,312,291,694,820,
313)( 5,961,571, 87,703,480,449,435,892,494,843, 32,170,874,612,848,
680,394,721,831,160,502,551,878,499,713,189,466,141,566,741,928,704,
236,130,873,588,458,325,456,793,733,589,531, 72,129,505,525,954,724,
400,247,115,227,258, 86,200,112,787,504,338,429,215, 82)
( 8,636, 80,193,496, 84,501,362,611,532,687,219,946,263,921,674,441,
731,839,889,234,167,210,617,634,311,569,230,410,209,625,156,341,459,
931,275,138,917,555,302,684,816,546,123,668,177,493, 75,259,957,770,
17,590,431,249,369,512,111,679,712,739, 24,109,391)( 9,296,757,691,
461,226, 73,387,255, 31, 92,887, 51, 69,517,320,433,895,497,348, 78,
932,163,286,428,818,414,809,510,316,890,521,711,390,343,229,192,300,
289,760,958,683,217,769,562, 36,290,646, 45,437,251, 95,314,585,455,
580,216,268,951,179,578,547,906,330)( 10,527, 25,877, 59, 21,604,740,
476,819,706,424,937,331,242,436,947, 42,133,371,540,474,416,567,388,
79,108,743,838,492,664,406,165,462,379,158,139,794, 18,730,941, 22,
868,104,143, 81,701,168,802,856,915,559,278,876,212,199,100,817, 93,
339,374,699,692,155)( 13,427,603,893,319,852,534,689,375,871,310,483,
734,187,710,935,105, 38,503,366, 23,955,960,728,257,489,333,630,443,
693,448,899,864,654,936,382,835,727,205,948,265,655,432,752,695,601,
354,233,174, 54,685,434,451,530,276,516,398,781,260,866,389,447,806,
511)( 16,401,378,940,478,124,231,653, 66,671,442,749,113,444,550,678,
96,535, 70, 53,912,358,450,850,509,656,464,267,857,145,945,882,862,
473,515,149,440, 20,832,938,858,657,717,131,697,608,220,194,419,665,
815,137,413,914,211,824,488,329,486,782, 71,146,708,826)
( 27,707,669,457,485,256,788,797,735,541,714,587,633,309,327,176,777,
472, 55,768,213,635,270,357,681,403,725,147,412,688,582,487,860,237,
751,484,308,335,553,637,920,181,232,524,833, 64,575,629,513,953,927,
315,949,880,869,420,767,763,821,307,128,609,642,460)( 28,572,610,303,
870,649,792,370,762,808,764, 89,737,114,900,736, 33,696,672,188,943,
41,667,853,301,183,399,754, 39, 58,925,650,438,759,121,206,661,246,
415,293,107,884,783,344,898,465, 40,828,262,164,719,477,285,778,579,
292,879,598, 90,134,593,901,660,639)( 35,218,663,859,834,907,282,822,
812,775,154,568,594,804,345,748,597,172,626,526,228,306,753,747,363,
942,842,324,533,910,962,481, 77,221,304,602,453,186,396,328,522,269,
583,791,577,560,771,337,720,956,119,198,519,381,539,930,274,647,888,
800,558,353,490,380)( 43,861,810, 50,346,326,652,690,166, 61,467,883,
780,254,116,618,479,894,600, 83, 60,627,651,700,698,881,738, 98,185,
322,294,827,886,148,190,430,761,475, 91,349,903,392,756,552,248,595,
208,469,830,514,855,796,136,117,574,622,295,846,641, 63,372,244,305,
317)( 48,896)( 56,573,670,902,405,508,425,613,825,520,224,125,173,
204,367,923,361, 67,422,417,548,789,491,245,640,605,867,127,944,745,
411, 68,102,385,581, 88,191,776,716,863,318,840,347,922,599,214,350,
150,790,786,132,482,662,538,110,452,281,201,909,865,454,377,386,470)
] ],
[ 5, 1775005440, 0, "2", [ [ 961, 1 ] ], 3, "PGammaL(2, 31^2)",
[ "L", [ 2, 961 ], 1 ],
[ ( 1,491,713,419, 26,141,322,241,435, 91,378,664,454,893,401,325,606,421,
809,308)( 2,236,620,728, 23,548, 49,515,353,614,337, 4,152,863,819,
855,461,900,739,405)( 3,943,886,479,906,273, 22,374,592,842, 83,716,
801,905,912,958,424,935,533,500)( 5,489,565,147,579,194, 74,298,843,
197,359,358,754,316,951,786,550,651,340,254)( 6,475,721, 87,942,845,
346,706,228,252,650,483,717,517,741,441, 44,295,452,243)
( 7,202,191,494, 80,955, 90,936,211,351,658,471,953,566, 14,503,555,
306,556,120)( 8, 48,930,234,735,859, 45,558,383,460,882,369, 9,610,
580,895,607,114,639,442)( 10,763,543,656,873,736,637, 86,430,756,361,
43,205,618,926,746,144,330,323,200)( 11,382,826,350,478,411,166,182,
701,332,363,681,139,524,464,410,352,135,210,111)( 12,338, 77,493,830,
81,702,153,837,217,158, 76,598,157,164,638,417,232, 72,583)
( 13,868,497,758,373, 73, 71,827,910,833,253, 53,375,782,626,218,165,
529,585,696)( 15,648,173,742,629,468,909,559,535, 66,695,897,372,669,
513,167,542,499,192,745)( 16, 93,698,204,313,922,177,413,867, 21,208,
99,451,119,279, 40,688,472,392,581)( 17,445,292,880, 42,781,196,593,
399,473,604,602,551, 88,627,685,570,727,683,829)( 18, 19,509,577,128,
507,397, 84,103,615,776,117,747,660,878,807,724,248,694,302)
( 20,245,385,456, 41,704,266,237,544,792,186,574,853,834,668,591,652,
616,956,671)( 24,589,703,216,757,151,198,102,345,619,888,486,390,297,
921,876,498,525,428, 92)( 25,914,311,764,281,864,127,586,258,514,229,
697,902,584,608,680,877,112,496,341)( 27,887,613,820,317,711,726,674,
554,230,797,287,138,641,828,793,692,748,307,949)( 28,645,813,597,463,
879,492,250,633,743,310,561,470,131, 96,835,376,362,832,518)
( 29,705, 52,161,347,546,794, 46,915,947,925,730,814,571, 36,238,449,
693,450,233)( 30,261,420,640,840,950,379,785,630,624,752,578, 95,433,
934,582,632,348,508,327)( 31,901,933,130,588,770,841,759,407,899,847,
193,168,672,303,576,175,722,928,225)( 32,852,795,924,653,512,541,667,
866,422,642,773,304,367,839,848,527,929,179,788)( 33,342,682,709,861,
609, 79,821,800,290,644,231,575,872,368,315,132,766,462,904)
( 34,434,123,275,622, 58,960,959,270,459, 75,844, 35,300,366,772,398,
312,425,767)( 37,293,553,567,961,945,264,319,288,190,355,684,777,226,
659,485, 63,116,284,725)( 38,247,665,137,455,309, 54,476,251,787,646,
223,162,952,931,172,426,178,440,932)( 39,136,391,562,490,221,457,857,
277,719,769,113,600,662,105,825,150,822,142,871)( 47, 69,100, 50,289,
511,163,803,631,885,732,699,526,502, 62,439,505,534, 70,654)
( 51,487,528,643,272,170,291,874,448,444,831,262,206,755,121,126,484,
408, 89,360)( 55,394,365,215,744,536,678,282,657,418,423,778,572,107,
427,531,381,738,220,328)( 56,601,257,573,212,156,364,883,718,740,775,
940,331,540,294,169,185,276,118,907)( 57,875, 94,104,896,780,860,283,
605,429,285,333,691,812,666,106,189,246,700,235)( 59,416,783,913, 97,
480, 82,129,255,708,920,519,329,386,539,903,356,854,938,789)
( 60,199,438,791,712,467,280,817,889,941,520,201,779,209,321,621,815,
274,686,617)( 61,522,603,753,318,299,568,160,865,918,504,530,798,762,
159,710,115,564, 68,488)( 64,850,188,862,538,380,214,856,806,569,388,
377,731,415,384,802,796,181,804,482)( 65,501,265,140,122,437,849,687,
432,402,404,944, 98,937,729,890,836,846,465,207)( 67,587,649,723,466,
469,676,790, 85,611,750,677,923,267,908,474,222,898,946,227)
( 78,948,453,305,761,816,612,339,749,314,818,720,734,400,458,145,634,
109,195,911)(101,516,239,751,690,354,133,219,774,689,715,647,184,808,
396,707,296,811,663,858)(108,371,939,547,446,271,537,187,263,256,357,
393,260,244,506,552,838,927,336,810)(110,628,395,436,636,149,545,625,
447,143,146,155,771,523,957,824,563,203,891,590)(124,389,344,414,596,
171,510,431,406,213,154,768,370,301,335,549,240,760,679,334)
(125,675,560,259,176,387,278,962,320,249,917,919,403,269,532,349,412,
242,224,805)(134,916,183,521,180,884,343,799,892,174,286,557,148,714,
784,733,443,477,869,954)(324,661,673,881,823,326,594,765,655,670,623,
635,894,851,870,599,595,495,481,409),
( 1,832,518,705,610,482,185, 80,423,717,946, 51,803,769,497,854,637,
163,742,729,170,882,944,933,109,580,415,501,688,392)( 2,438,891,605,
535, 25,326,499,779,810,192,532,414, 12,320,859,640,656,646,219,498,
572,248,672,774,162,598,942,468,117)( 3,375,573,173,116,848,597, 78,
33, 26,575,385,619,165,683,153, 29,633,583,722,246,829,841,435,149,
455, 28,200,229,443)( 4,179,750,596,486,798,662,731,367,704,253,384,
227,638,382,961,417,606,439,740,150,198,814,356,259,141,333,820,690,
888)( 5,719, 15,601,670,111,263, 8,306,773,182,634,609,870,459,156,
524, 49,618,807,214, 55,792,607,221,545,278,899,616,305)
( 6,469,125,402,138,604,466, 59,425,312,463,380,381, 97, 95,844,279,
40, 67,460,491,594,420,239,889,562,433,816,297,496)( 7,949,131,442,
855,782,120,399,624,801, 42,418,663,758,494,251,910,339,383,553,398,
592,136,119,523,608,291,647,824,861)( 9,733,210,542, 89,698,359,875,
954,713,617,746,209,864,517,366,581,447,625,897,205,877,603,327,122,
470,627,474,235,174)( 10, 90,477,440,900,743,451,137,636,206,857,569,
630,332,215, 61,828,328,519,548,766,674, 72,105,645,146,475,790,286,
939)( 11,570,947,343,833,564,538,749,714,300,450,723,234,228,510,914,
867,725,941,555,386,166, 88,434,761,681,783,372,818, 23)
( 13,860,516,659,180,103,413,585,374,504,249,446,878,424,653,540,299,
692,284,283,938,453,292,513, 18,622,407,791,114, 84)( 14,664,559,800,
289,151,711,525,612,335,272,342,876,626,806,923,840,176,270,720,898,
188,925,799,936,643,473,822,929,724)( 16,207,827,506,217,488,445,639,
778,669,527,770,175,168,274,429,152,533,161, 54,240,348,285,362,293,
759, 47,821, 99,764)( 17,203,408, 83, 24,364,582,204,676,850,741,611,
591,642, 56,199,894,948,937,621,530,546,223,353,233,830,584,511,922,
344)( 19, 94,544,890,341,657,226,957,668,416,390,304,701,140,213,365,
595,812,762,551,121,295,258,587, 76,395,528,902,628,472)
( 20,276,651,520,883,884,195,449,493,241, 79,296,886,123,795,843,920,
614,444, 52,181,377,128,331,391,307,265,739,691,650)( 21,661,373,600,
222,539,139,863,191,913,907,934,915,738,960,945, 77,411, 86,789,926,
255, 63,462,673,266,422,287,755,337)( 22,371,748,478,351,567,104, 85,
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393,308,683,798)( 54,418,590,499,715,141,629,478)( 57, 61,965,207)
( 59, 76,643,896,739,669,483,196)( 60,762,541,661,599,527,529,778)
( 64,176,273,812,224,560,213,409)( 65,134,906,143, 73,360,400,153)
( 67,766,802,380,556,492,182,685)( 68,127,951,793,519,445,797,865)
( 69,223,509,675,121,942,152,114)( 74,744,633,725,873,612,978,117)
( 75,558,515,376,631,198,468,472)( 77,120,254,817,288,321,674,570)
( 80,469,480,680,751,271,190,611)( 81,194,567,677,703,303,653,219)
( 82,539,163,450,523,642,443,866)( 84,847,372,769,662,437,362,485)
( 85,860,592,810)( 87,249,727,844,547,439,275,107)( 89,300,214,815,
533,972,630,914)( 90,103,284,512,973,250,647,139)( 91,821,747,464,
958,212,404,936)( 92,164,495,672,759,622, 95,486)( 93,651,374,395,
299,385,709,696)( 94,232,805,105,788,534,453,897)( 96,497,222,619,
976,248,723,381)( 98,816,916,880,698,175,535,420)( 99,910,774,314,
243,551,259,156)(100,566,822,657,980,755,457,934)(102,833,282,525,
676,621,511,298)(104,706,157,451,878,500,741,544)(113,764,452,136,
419,353,780,767)(115,386,597,673,719,875,296,773)(116,576,306,574,
794,614,536,429)(122,424,947,656,128,350,562,925)(124,323,227,807,
578,186,408,608)(125,899,791,313,792,904,390,423)(126,724,229,253,
666,332,320,444)(131,417,863,458,264,688,743,217)(133,316,427,835,
708,255,890,520)(137,781,405,346,378,588,396,883)(138,954,746,233,
918,731,733,968)(142,484,748,879,589,628,670,667)(146,635,318,808,
221,236,326,354)(149,700,668,293,848,884,867,241)(154,206,489,349,
953,170,949,960)(162,267,565,963,330,787,334,658)(165,654,582,768,
728,604,834,304)(166,893,210,191,777,795,757,742)(168,463,532,712,
818,270,220,581)(169,201,891,548,462,908,618,772)(173,467,440,465,
430,252,251,237)(174,505,626,394,872,919,295,697)(177,939,637,752,
454,681,946,412)(178,543,602,840,502,563,493,852)(179,868,829,902,
603,796,644,257)(180,287,402,391,713,269,370,246)(183,790,347,707,
678,466,888,636)(185,689,652,850,240,616,297,842)(187,280,623,516,
639,197,356,870)(189,357,473,930,809,806,413,272)(199,422,203,552,
425,871,823,830)(204,503,336,765,718,943,328,364)(205,448,671,335,
389,245,646,967)(218,461,827,945,482,383,935,442)(225,341,542,962,
538,343,238,274)(231,705,407,591,832,276,717,436)(234,783,247,595,
701,640,491,803)(239,782,361,470,513,377,605,932)(242,481,969,475,
366,281,684,392)(261,609,504,580,365,638,920,540)(278,348,655,632,
517,479,745,861)(279,363,514,494,487,974,447,789)(283,506,290,460,
501,761,663,342)(285,959,931,975,903,843,496,851)(311,352,738,758,
964,379,915,401)(327,387,456,841,428,734,720,449)(399,775,874,690,
522,924,811,898), ( 1, 51, 20,139, 59,216,695,243, 29, 69, 10,720,
401,147,146,438,232,114,100,613,397, 16,191,890, 61)( 2, 67,651,576,
7,544,582,167, 36,435,881,241, 78,206,956,781,183,161,120,615,434,
57,200,442,437)( 3,436,422,229,928,359,285,731, 15,165,915,872,719,
512,899,221,135,209,175,740,676,455,906,580,709)( 4,971,979,700, 76,
813,763,322, 55,853,940,400,250,472, 31,464,383, 40,758,801,892, 25,
248,478,105)( 5,104,737,624,537,259,585,288, 22, 54,618,293,270,269,
304,665,185,252, 30,242,671,815,303,566,821)( 6,642,903,967,722,685,
466,177, 70,698,629,253,187,866,492,807,451,294,450,900,822,855,219,
545, 21)( 8,334,908,299,838,126,396, 93, 32,755,410,715,249, 24,137,
296,257,369,772,562,626,195,568,784,529)( 9,574,302,860,863,835,489,
225, 34,587,565,452,392,597,883,106,142,387,528, 95,691,592,944,598,
68)( 11,156,567,765,132,523,635,634, 42,750,262,362,233,736,701,958,
315,443,876,792,406,543,933,358,511)( 12,133,261, 44,129,858,145,617,
112,352,428,325,690,787, 26,975,623, 80,411,913,234, 38,207,694,399)
( 13,398,290,497,965,467, 91,318, 47,111,370,289,212,266,356, 19,344,
88,907,666,441,664,947,155,101)( 14,350,684,555,600,639,841,868,128,
901,449,454,969,445,674,123,591,501,641,131,374,837,255,371,886)
( 17,896, 60,300,752,662,884,771,143,805,199,937,268,742,945,590, 48,
102,485,934,278,417,121,846,163)( 18,343,125,166, 39,769,124,851, 62,
235,675,473,164,845,280,376,413,572,227,375,469,785,470,514,342)
( 23,509,802, 66,169,331,673,723, 82,305,515,440,174,203,836,960,385,
677,780,424,151, 50,107,873,575)( 27,170,150,148, 89,507,319, 33, 92,
176,741, 84,486,594,778,116,388,432,571,522,583,154,654,646,729)
( 28,962,534,834,586,186,880,224,223, 83,941,926,306,516,218, 73,770,
190,931, 87,487,483, 79,240,721)( 35, 71,363,138, 58,888,938,686,122,
236,526,407,394,348,474,153,663,819,184,766,180,378,377,444,744)
( 37,930,754,298,640,877,871,558,281,361,889,433,688,976,605,604,927,
197,547,210,530,948,658,775,208)( 41,349,660,957,549,493,491,682,309,
776,381,643,935,762,561,625,569,774,292,551,849,202,620,966,897)
( 43,895,628,633,313,887, 75, 64, 85,924,955,954,456,498,482,430,272,
276,978,974,340,118,811,355,317)( 45,260,632,809,563,893,251,669,152,
644,680,920,910,420,630,814,279,291,230,879,795, 94,546,843,616)
( 46,339,619,508,316,904,222,584,336,391,973,905,733,162, 49,710,839,
519,806,246,182,157,353,554,283)( 52,599,968,693,725,402,739,875,367,
761,463,382,977,844,909,333,738,231,856,950,419,672,412,894,861)
( 53,832,593,689,115,867,457,946,179,631, 63,850,637,683,332,119,614,
548,211,980,970,453,439,314,650)( 56,321,108,559,728,324,953,286,188,
462,607,606,172,263,794,215,779,570,521,226,488,657,829,803, 90)
( 65,168,247,228, 98, 97,134,468,217,502,753,560,311,141,703,109,505,
826,458,789,788,414,274,611,612)( 72,668,667,341,480,538,552,951,159,
929,891,310,681,408,525,827,602,345,777,423,113,854,603,395,712)
( 74,711,912,588,117,949,659,539,479,368,237,267,357,645,379,911,919,
812,601,636,687,533,446,804,239)( 77,386,959,914,448,748,922,964,496,
828,475,747,798,656,312,859,517,323,810,638,917,380,726,943,756)
( 81,431,786,471,136,220, 86,704,140,864,621,201,404,764,373,477,647,
653,495,173,535,284,553,149,320)( 96,793,301,878,540,791,595,476,503,
655,874,277,287,925,799,205,204,679,870,557,699,335,952,384,767)
( 99,564,808,823,160,347,842,532,416,282,460,608,178,465,932,426,425,
692,429,365,499,490,939,589,751)(103,510,144,447,494,848,847,389,308,
916,346,649,705,735,550,852,273,730,578,372,254,194,697,696,130)
(110,824,936,718,192,256,716,541,338,610,857,942,831,865,581,258,556,
366,923,421,461,678,706,648,782)(127,351,652,869,622,918,297,295,328,
327,790,800,577,714,337,627,749,732,702,882,609,459,708,862,898)
(158,181,244,418,796)(171,265,198,354,330,536,500,364,797,820,484,768,
271,214,825,390,405,403,817,245,481,520,196,833,409)(189,542,818,307,
329,760,921,596,524,213,885,264,506,757,759,504,840,513,783,734,773,
518,275,527,670)(193,717,707,963,746,745,573,579,531,830,816,902,661,
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173,192,212,233,255,278,302,327,353,380,408,437,467,498,530,563,597,
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407,436,466,497,529,562,596,631,667,704,742,781,821,862,904,947,990)
( 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91,105,120,136,153,171,190,
210,231,253,276,300,325,351,378,406,435,465,496,528,561,595,630,666,
703,741,780,820,861,903,946,989,948)( 9, 14, 20, 27, 35, 44, 54, 65,
77, 90,104,119,135,152,170,189,209,230,252,275,299,324,350,377,405,
434,464,495,527,560,594,629,665,702,740,779,819,860,902,945,988,906,
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229,251,274,298,323,349,376,404,433,463,494,526,559,593,628,664,701,
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88,102,117,133,150,168,187,207,228,250,273,297,322,348,375,403,432,
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249,272,296,321,347,374,402,431,461,492,524,557,591,626,662,699,737,
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100,115,131,148,166,185,205,226,248,271,295,320,346,373,401,430,460,
491,523,556,590,625,661,698,736,775,815,856,898,941,984,744,784,825,
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270,294,319,345,372,400,429,459,490,522,555,589,624,660,697,735,774,
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113,129,146,164,183,203,224,246,269,293,318,344,371,399,428,458,489,
521,554,588,623,659,696,734,773,813,854,896,939,982,669,707,746,786,
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292,317,343,370,398,427,457,488,520,553,587,622,658,695,733,772,812,
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127,144,162,181,201,222,244,267,291,316,342,369,397,426,456,487,519,
552,586,621,657,694,732,771,811,852,894,937,980,598,634,671,709,748,
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315,341,368,396,425,455,486,518,551,585,620,656,693,731,770,810,851,
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636,673,711,750,790,831,873,916,959)(108,124,141,159,178,198,219,241,
264,288,313,339,366,394,423,453,484,516,549,583,618,654,691,729,768,
808,849,891,934,977,499,532,566,601,637,674,712,751,791,832,874,917,
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286,311,337,364,392,421,451,482,514,547,581,616,652,689,727,766,806,
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309,335,362,390,419,449,480,512,545,579,614,650,687,725,764,804,845,
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578,613,649,686,724,763,803,844,886,929,972,354,382,411,441,472,504,
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611,647,684,722,761,801,842,884,927,970,303,329,356,384,413,443,474,
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( 93,108,121)(107,123,137)(122,139,154)(138,156,172)(155,174,191)
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(563,598,631)(597,633,667)(632,669,704)(668,706,742)(705,744,781)
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[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 43, 50, 57, 65, 73, 82,
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27, 32, 38, 44, 51, 58, 66, 74, 83, 92,102,112,123,134,146,158,171,
184,198,212,227,242,258,274,291,308,326,344,363,382,402,422,443,464,
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84, 93,103,113,124,135,147,159,172,185,199,213,228,243,259,275,292,
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219,234,249,265,281,298,315,333,351,370,389,409,429,450,471,493,515,
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334,352,371,390,410,430,451,472,494,516,539,561,584,606,629,651,674,
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193,207,221,236,251,267,283,300,317,335,353,372,391,411,431,452,473,
495,517,540,562,585,607,630,652,675,697,720,742,741,764,786,809,831,
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318,336,354,373,392,412,432,453,474,496,518,541,563,586,608,631,653,
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286,303,320,338,356,375,394,414,434,455,476,498,520,543,565,588,610,
633,655,678,700,723,745,768,790,813,812,834,856,875,893,909,924,937,
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435,456,477,499,521,544,566,589,611,634,656,679,701,724,746,769,791,
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397,417,437,458,479,501,523,546,568,591,613,636,658,681,703,726,748,
771,793,816,838,858,759,782,804,827,849,869,887,904,919,933,945,956,
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569,592,614,637,659,682,704,727,749,772,794,817,839,859,877,713,736,
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367,381,271, 94, 23,335,546,231,793,944,791,917, 32,717,790,292,891,
553,415,153,959)( 8,562,863,449,248,679, 53,372,246,258,815,414,829,
852,542,783,455,245,601,899,719,399,346,834,534,471,504,172,740,723)
( 9,296,468,708, 68,461,705,207,282,964,513,859,706,330,250,806,146,
190,915, 29,874,632,718,186,940,366,909,832,931,301)( 10,270,769,131,
524,895,531,869,253,695,382,771,313,393,345,937, 34,364,249,209,576,
72, 92,359,972,429,768, 64,978,781)( 11,991,747,257,587,493,652,616,
918,152, 99,536,224,605,754,202,472,992,354,167,582,799,315,295,432,
568,125,233,208,287)( 12,925,646,150,957,388,195,597,861,704,684,514,
541,314,743,622,821,390,676,865,976,387,488,971,556,143,882, 48,613,
400)( 13,801,204,356,654,920,297,226,210,618,756,127,478,101,235,169,
154,317,749,474,607,434,584,570,259,993,495,538,589,289)
( 16,941, 51, 73,325,648,136,603,164,843,840, 57,106,281,465,596,967,
82,431,853,203,342,767,417,454,144,321,841,385,501)( 17, 26,797, 50,
147,785,938,108,329,375,380,445, 80,409,547,787,361,988,286,269,265,
88,784,225,911,885,953,711,592,398)( 18, 93,517,112,519,872,529,141,
990,272,324,177,443,643,805,813,279,720,617,775,670,130, 61,685,950,
107,516,726,742,833)( 19, 66,702,694,631,640,406,405,574,332,408,559,
975,213,664,900,168,879,615,839,506,883,943,418,761,161,722, 30,989,
532)( 20,232,858,962,713,578,180,683,659,741,919,551,424,634,902, 49,
628,437,351,427,425,187,593,525,721,780,650, 38, 85,898)
( 21,932,798,923,178,182,907,851,624,956,901,293,138, 60,242,199,274,
460,824,505,288,697,700,311,698,866,453,322,986,710)( 22,647,689,145,
523,817,181,283,954, 65,520,521,111,674,134,447,533,276,730,837,809,
116,779,746,876,724,755, 97,621,328)( 25,122,200,515,420, 83,760,759,
963,860,886,772,686,522, 55,304,969,928,762,336, 63,350,240,985,913,
384,244,373,355,567)( 27,896,518,135,894,378,110,395,507,554,820,217,
893,484,159,470,334, 54,126,104,906,189,701,489,197,649,374,256,438,
69)( 28,133,868,230,880,794,369,492,528,463,163,458, 78,481,100,630,
412, 43,867,623,348,968, 84,308,352,191,109,870,444,675)
( 31,945,662,736,498,738,904,220,176,543,748,836,889, 59,312,862,491,
326,970,735, 39,331,939,360,280, 98,396,961,349,216)( 33,715,890, 47,
745,691,457,682,456,583,930,219,753,625,557,812, 52,773,934,660,469,
81,383,951,117, 70,666,459,264,610)( 36,826,825,926,121, 58,421, 91,
188,633,266,979,752,838,439,581,370,402, 67,416, 42,327,828,306,486,
952,310,450,588,149)( 37,139,389,732,854,914,503,635,965,376,132,530,
810,379,377,871,184,665,960,850,946,673,983,303,611,693,602,477,545,
580)( 40,846,158,678,118,831,680,433,268,338,440,179,677,778,604,887,
974,903,302,912,254,273,690,485,966,881,936,162,804,222)
( 41,661,729,563,316,819,174,487,323,151,764,137,687, 45,714,916,786,
770, 62,877,105,185,795,849,560,368,561,221,857,573)( 44,124,703, 95,
796,499,734, 90,255,626, 76,816,653,600,512,307,933,977,668,502,262,
500,426,709,788,973,113,725,160,855)( 46,238,239,527,339,716,392,535,
473,442,845,827,987,822,672,165,241,856,594,251,712,365,776,448,555,
733,464,808,407,892)( 74,201, 77,552,875,548,430,644,284,508,612,309,
300,333, 87,175,663,823,278,681,692, 75,830,569,658,728,371,243,391,
363)( 79,639,641,792,765,739,252,215,119,935,229,864,234,638,565,927,
183,401,848,842,123,263,651,807,446,394,873,955,897,140)
( 89,577,142,277,198,984,192,642,214,115,157,737,595,982,223,558,285,
247,606,344,981,422,908,744,483,466,305,789,526,462)( 96,629,910,148,
696,814,818,657,947,353,566,575,599,878,544,340,467,441,774,509,835,
494,341,637,267,924,958,550,343,929)(120,419,452,688,397,777,193,847,
667,549,347,800,510,949,403,294,196,194,942,763,627,428,320,362,782,
671,731,490,811,482),
( 1,756,818,103,102,654,277,599,203,894,411, 78,751,750,607,146,353,
851, 67,671,432,396,511,323,631,698,506, 30,934,577,852,213, 64,407,
362,278,806,152,355,701,418,736,758,757,618,747,340,858, 25,794,321,
151, 32,788,333,193,513,466,889,369,336,853, 65,815, 37,842,349, 21,
912,243,615,100,484,859,162,206,205,101,182,947,306,468,303,592, 56,
535,520,472,724,954,663,703,347,447,613,813,781,273,918,840,397,816,
22,694,439,636,581, 58,945, 51,612,828,962,626,769,172,986,339, 17,
961,416,941,745,296,438,881,798,228,227,570,112,835,328,215,330,644,
605,445,311,897,766,976,688,567,732, 62, 11,542,553,872, 91,223,409,
949,867,168,649,280,257,620,619,589,955,509,720,647,386,836,965,930,
545,983,832,375,948,611,270,175, 83,498,351,527,915,149,693,443,902,
989,728, 43,641,194, 41,286,190,905,796,759,305,716,695,667, 34,382,
431,141, 48, 72,528,180,938,562,762,510,379, 71,249,779, 50,433,110,
824,670,171,170,226,284,958,271,372,177,160,564,860,666,266,823,919,
554,136,727,476,475,538,675,774,576,376,830,837,933,883,917,515,598,
231,453,368,144,292, 26,165,735,981,492,426,966,926,275,574,913, 88,
272,843,676,178,224,186,384,253,646, 28,645,130,123,238,262,241,845,
868,923,245,555, 24,325,616,942,862,959,477,374,251,264,591,590,749,
725,910,691,108,493,199, 9,276, 73,455,360,346,679,787,244, 93,863,
653,197,316,126,656,655, 3, 2)( 4,356,448,550,105,699,532, 53,869,
710,744,451,807,753,927,234,378,952, 92,299,298, 13, 23,696,399,552,
179,839,873,754,313,973,258, 54,809,628,156,155,154,648,494,256,157,
760,497,496,289, 66,566,597,904,380,450,621, 84,464,274,953,252, 49,
717,713,659, 61,559,366,898,400,876,685,546,825,702, 35,449,721,208,
660,485,888,911,389,153,507,782,504,129,128,259,521,267,229,516,473,
69,890,502,237,236,801,877,657,337,892,465,427,984,486,784,181,222,
985,931,359,761,442,850,420,786, 75,529,700,870,601,908,900,674, 36,
230,821,884,800,896,246, 97,586,585,474,780,878,686,992,189,140,979,
480,479,584,524,341,580,133,402, 12,395,865,514,212,211,235,622,343,
312,332,977,381,692,771,928,971,600,960,454,722,440,864,116,718,767,
348,916,457, 10,469,625,161,247,283,459,242,551,635, 40,855,370,901,
320,773,808,388,791,967,265,429,185,121,764,819,530,125,483, 45,789,
285,517,354,503,192,866,404,221,734,683,895,173,817,462,383, 8,841,
939,300,861,822,415,145,748,518,582,935,922,921,478,838,467, 29,505,
746,937,398,573,964,733,188,677,114,422,638,854,331,682,324,772,723,
811,752,568,987,879,665,490,537,906,463,705,803,802,920,690,629,903,
254,783,849,684,846,437,970,856,558,209,489,944,428,291,290,210,534,
148,391,891,345,461,408,593,569,104,914, 46,261,260,297,117,441,361,
124,925,132,829,565,880,294,405, 16,887,392,617, 27,658,602, 5)
( 6,929,672,487,765,963,158,632,627,595, 38,327, 44, 60,499,512,352,
268,946, 95,417,792, 57,342,139,406,452,281,307,119,988,525,834,315,
793,387,164,138,969,624,288,334, 18,309,358,357,495,810,637,458,393,
650,413,322, 39,118,131, 99,113,991,287,681,147,951,233,804,385,239,
578,874,150,183, 19,202,775,673,425,604,220,768,326, 59, 79,907,844,
491,563,533,120,488,350,500,982,282,738,909,250,719, 33,596,708,623,
94,652,390,588,470,972,790,319,318,169,731,575,419,482,932, 47, 20,
403,848,561,886, 74,216,882,797,214,777,634,401,367,219,481,523,776,
799,664,643,207,687,827,739,255, 80,704, 89,508,410,548, 87,603,633,
81,363,729,107, 31,196, 86,974,642,541,201,365,471,166, 85,697,184,
314,248,706,583,217,668,857, 15, 14,993,135, 96,115,436,435,317,522,
814,536,187,610,763,712,430,899,778,174,191,456,134,460,978,606,820,
200,975,540,539,204, 98,924,640,195,714,338,630,377,310,726,142,295,
770,740,143, 68,446, 77,198,579,678,225,159,269,711,609,608,434,329,
544,709, 52,176,990,549,279,805,547, 82,364,742,302, 70,614,335,218,
423,940, 76,519,980,639,957,943,795,293,106,373,111,669,526,936,556,
741,689,560,847,885,109,371,263,344,871,956,743,587,421,594,831,833,
715,304, 42, 63,122,651,680,730, 55,707,557, 7,444,167,412,968,662,
240,424,163,785,875,812,661,531,826,394,414,308,737, 90,301,950,137,
543,755,893,232,501,572,571,127) ] ],
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