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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[651]:=
[[ 1, 20158709760, 1, "2", [ [ 90, 1 ], [ 560, 1 ] ], 1, "PSL(6, 2)",
[ "L", [ 6, 2 ], 1 ],
[ ( 2, 3)( 5, 7)( 10, 13)( 16, 19)( 18, 22)( 21, 25)( 24, 29)( 26, 32)
( 27, 33)( 28, 35)( 30, 38)( 31, 40)( 34, 41)( 36, 46)( 37, 48)
( 39, 51)( 43, 55)( 45, 58)( 47, 61)( 49, 64)( 52, 68)( 53, 65)
( 54, 66)( 59, 76)( 62, 80)( 63, 81)( 69, 82)( 72, 91)( 75, 94)
( 77, 97)( 78, 99)( 84, 98)( 85,100)( 86,101)( 87,109)( 95,116)
(103,125)(104,117)(105,118)(112,134)(115,136)(120,142)(126,137)
(129,151)(130,150)(131,153)(133,155)(139,161)(140,163)(141,165)
(144,169)(145,164)(146,166)(147,172)(149,175)(152,178)(156,181)
(157,183)(158,184)(159,186)(160,188)(162,191)(167,196)(168,198)
(170,201)(171,199)(174,203)(176,206)(177,207)(179,210)(180,211)
(185,215)(187,218)(189,221)(190,223)(192,226)(193,228)(194,229)
(195,222)(197,224)(200,236)(202,239)(204,241)(205,242)(212,250)
(213,246)(214,249)(216,255)(217,257)(219,260)(220,261)(225,267)
(227,270)(230,262)(231,253)(233,271)(234,277)(240,283)(243,284)
(244,287)(245,289)(248,293)(251,290)(254,299)(256,301)(258,303)
(259,305)(263,310)(264,311)(266,304)(268,306)(272,318)(274,295)
(275,315)(276,321)(279,326)(280,325)(282,330)(285,333)(286,334)
(291,328)(292,329)(294,335)(300,347)(307,352)(309,355)(312,349)
(313,356)(314,361)(316,364)(320,369)(322,370)(323,373)(324,374)
(327,375)(331,381)(332,357)(336,385)(337,368)(338,388)(339,378)
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(382,383)(384,412)(386,418)(389,427)(391,441)(394,442)(395,443)
(400,444)(402,449)(406,454)(410,458)(413,461)(414,463)(415,464)
(419,465)(426,474)(428,475)(430,477)(432,450)(433,445)(435,482)
(437,485)(438,486)(440,481)(446,491)(447,492)(451,493)(452,496)
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(478,494)(484,522)(488,521)(489,528)(490,530)(495,533)(498,535)
(499,525)(503,536)(506,541)(507,539)(512,538)(514,547)(515,537)
(517,549)(518,552)(520,526)(523,555)(524,558)(527,561)(532,565)
(534,567)(540,573)(542,574)(543,577)(545,576)(546,568)(548,580)
(554,586)(556,557)(559,587)(560,589)(564,592)(566,571)(578,594)
(579,598)(584,600)(591,603)(597,609)(601,611)(602,614)(605,616)
(613,620)(615,623)(625,630)(628,631)(629,632)(636,639)(640,643)
(644,647), ( 1, 2, 4, 6, 9, 12)( 3, 5, 8, 11, 15, 18)
( 7, 10, 14, 17, 21, 26)( 13, 16, 20, 24, 30, 39)( 19, 23, 28, 36,
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( 29, 37, 49, 65, 84,106)( 32, 42, 54, 71, 90,112)( 33, 43, 56, 73,
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( 40, 52, 69, 88,111,133)( 46, 60, 78,100,122,144)( 48, 63, 82,104,
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(142,167,197,233,276,323)(151,177,208,246,291,340)(153,179,191,225,
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(165,194,230,274,321,371)(169,200,237,280,328,379)(178,209,247,292,
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(186,217,258,304,305,351)(188,220,262,309,356,407)(196,232,275,322,
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(203,240,284,332,299,346)(206,244,288,337,387,437)(207,245,290,339,
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(215,254,300,218,259,306)(223,265,312,359,410,459)(226,269,315,363,
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(236,279,327,378,428,293)(239,282,310,357,408,456)(241,285,311,358,
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(257,302,349,283,331,374)(260,307,353,403,451,495)(261,308,354,405,
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(287,336,386,436,484,523)(289,338,389,439,488,527)(301,348,398)
(303,350,400,447,493,482)(318,367,418,463,399,446)(326,377,427)
(333,382,432,479,520,555)(334,383,433,480,521,556)(347,396,444,361,
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(369,420,469,510,530,563)(373,424,472,512,545,579)(381,431,478,519,
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(416,466,507,542,576,596)(422,471,511,544,578,597)(429,476,517,551,
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528)(461,504,539,572,594,608)(464,505,540,574,541,575)
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(485,524,559,588,592,607)(486,525,508)(492,531,564,565,509,543)
(502,537,570,513,546,580)(516,550,583,601,613,621)(535,568,593)
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(620,627,631,634,637,640)(632,635,638,641,644,648)(639,642,645,649,
647,651)(643,646,650) ] ],
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62,567,142,312, 35,604,303,555,190,305,292,165,128,107)
( 20,637,490,334,337,345, 27, 78,314,554,168,118,467,389, 31,488,576,
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( 22,464,465,278,417, 77,327,154,249,585,179,180,181, 69,228,371,150,
362,441,315,640,295, 86,621)( 24,634,241,370,340, 34,414,373,497,189,
445,595,121,354, 29,265,504,329,480,313,635,159,645,237)
( 28,448,503,629,579,446,273,593,486,391,147,436,258,639,217,234, 63,
290,429,591,255,594,348,341)( 30,571,347,426,647,624,599,174,630,400,
202,185,463,333,493,416,425,326,573,129,167, 49,622,210)
( 36,376,304,368,648,496,442,277,435,132,135,195,545,469,289, 89,137,
342,462,285, 91,568,460, 38)( 40,155, 42,536,382,643,351, 68,487,556,
149,415,440,607,522,393, 80,291,430,489,475,146,192,136)
( 41,328,428, 72,116,581,141,491,618, 84, 55,601,625,482,263,626,119,
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161,531,175,169,500, 64,214,268,453,251,505,471,551,421)
( 46,236, 47,495,240,410,339,166,199,296,509,390,474,113,256,279,321,
248,549,187,514,642,350,139)( 51, 99,282,612,106,570, 88,320,550,366,
238,307,117,582,229,356,317,363,293,316,218, 96,369,125)
( 54,543,380,438,616,198,111,413,574,458,452,615,197,299,357,605,384,
584,619,381,608,602,597,483)( 60,231,508,542,226,205,250,207,143,638,
225,598,419,535,399,306,184,617,547,108,361,123,613,632)
( 65,532,422,552, 93,162,587,516,539,269,176,310)( 67,484,492,148,561,
439,102,126,232,200,122,610,589,402,344,257,478,153,385,650,115,580,
138,182), ( 1,268,380,177,176,421,430,440,351,326,608, 17,517,516,
531,210,603, 40,185,357, 94, 93, 3, 2)( 4,515,611,561,179,281,244,
640,224,198,339,405,522,519,521,291, 27,406,320, 31,247, 96,347, 5)
( 6,581,512,137,231,286,284,570,368,394,375,491,331,514,151,423,422,
169,227,218,597,617,449,463)( 7,389,329,301,537,106, 33,124,479,595,
125,618,153,592,338,385,172,104, 88,194, 35, 49,492,167)
( 8,129,604,324,556,549,282,165,148,187,354, 53,621,426,131,366,146,
217, 21,145,395,591,524,314)( 9,147,601,117, 77,166,342, 75, 74,527,
545,495,249,612,625,579,235,383,288,138,470,589,325,243)
( 10, 41,199,317,328,164,434,407,484,264,367,121, 85,466,632, 38,156,
290,265,411, 68,195,322,213)( 11,502,501, 64,355,436, 25,565,159,321,
118,401,303,388,544,365, 19,101,271,350,504,246,377,593)
( 12,206,511,562,582, 39,229,186, 34,547,158,250,188,615,255,222,262,
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28,585,588,587,471, 51,330,111,627,211,425,349,445,315)
( 14,299,417,294, 62,638,136,263, 45, 44,586,474,460,219,643,257,234,
509, 91,442,140,548,559,191)( 15,576,248, 99,439,590,438,318, 16,525,
107,530, 98,343,279,546,496,455,454,453,613,362,629,273)
( 18, 26,487,448,142,384,260,274,353,254,238,163,162,538, 32,305,337,
639,360,476,599, 22,600,642)( 20,261,267,205,458,379,513,578,477,489,
373,398,397,500,486,563,572,155,127,139,348,457,614,306)
( 23, 78, 63,112,526,452,523,181,259, 72,488,403,554,429,207,465,441,
433,550,631,566,540,539,214)( 24,178,580,230,256,628,332,242,225,569,
157,295, 66, 65,175,490,409,240,115,221,619,283,239,209)
( 29,372,266,276,203,371,154,626, 67,623,223,272,226,296,141,431,415,
103,245,648,114,189,258,499)( 30,287,571,193,168,468,293, 37, 81,370,
602,356, 71,622,316,182,364,598,313,507,506,309,510,633)
( 36,341,307,110,216,215,551,134,160,390, 47,233,100,391,481,374,298,
413, 79, 89,126,280, 48,289)( 42,408,596,149,535,419)
( 43,610, 84,427,650,358, 86,228,461, 97,201,555,116, 59,232, 83,275,
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430,170,274,233,329,553,432, 63, 16,265,388,242,569)( 2, 5,447,326,
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276,540,586,216, 24,300,406,365,149,630)( 3,146,519,509,245, 8,613,
544,625,609,215,280,234,190,209,341,349, 22, 72, 64,143,567,528,414,
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433, 41,350,628,442,422,620)( 6,102, 81,342,201,491,184,289, 57,581,
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383,270,385, 46,355,135,466,454,148,168,202, 51,404,543, 61,192,574,
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438,589,182)( 34,296,187,557,358,247,514,600,551,411,481,439,145,482,
351,205,461,157,478,196,476,293,488,147,624,273,379,568, 75,647,615,
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327,131,348,285,217, 72, 74,627,117,243, 39, 86, 27,472,542, 28, 78,
342,396,310,604, 98,469,578,193,413,643,263,360,253,219,146,536, 6,
388,441, 75,513, 57,651,236, 69,423,107,223,129,504,416,621,614,494,
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326,163,349,554,138,136,633,622, 50,356,527,526,280, 15,206,404,202,
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222,115,143,373,539,357,496,372, 71,425,212,249,371, 7,151,431, 32,
448, 60, 41,628,281,198,353, 82,287,355,473,492, 54,374,545,144,238,
154,166,561, 91,419,332,289,119,427,354,379,341,389,528,153,611, 53,
156,463, 10,199,401,491, 81,500,314,375,319,465,257,304,347, 96,362,
562,386,529,610, 55,518,405,126,501,181,421,477,537,577,453,283,130,
232,247,403, 9,626,101,547,377,271,558,433,358)( 65, 90,200,184,169,
321,571,174,489,495,629,412,320,255,323,196,122,481,220,534,140,207,
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84,345,142,111,236,311, 77,418,549,333,219,586,408,523, 14,561,301,
497,113,366,409, 81,198,506,346,329,622, 11, 69,446, 12,542,318,264,
394,233,434,518,118,178,594,207,284, 8,177,226, 67,637,401,126, 55,
108,393,300,522, 74,332,417,155,488, 62,334,140,463,316, 38,617,138,
486,261,613,121,273,277,181,304,427,464,127,636, 4, 35,431,544,367,
185,525,197,115,583,317,137,475,632,208, 75,644,588,296,168,645, 56,
372,147,253,223,620,411,559,605,526, 32,503,494,234,432, 86,521,152,
297,504,188,288,100,309,243,383,228,535,587,480,132,596,387,255,421,
275,217,529,103,638, 93,567,120,606,551, 36, 68,282,557,179,272,461,
639,150,585,148,440,283,365,324,286,444,415,498,406,621,107,380, 44,
171,110,342,363,274,478,570,310,624,524, 92,648,635,552,244,256,164,
104,450,576,249,547,250,146,319,455,532, 47, 76,252,422, 58, 26,487,
351,117,556,438, 85,195,574,575,377,633,139,590,419,268,373,101,485,
30,248, 49,571, 37,534,595,258, 23,457,267,237,184,589, 7,238,391,
206, 59, 95,458,212,187,270,437,170,340,143,260,560,357,186,271,211,
358, 3,474, 16,519,298,602,230,511,472, 51,348,629,307,182, 28,459,
203,407,630,577,429,402, 48,528,263,299, 91,145, 2, 25,259,134,490,
603, 98,395, 45,315,167,376,462, 24,216,384,240,221,247,456,364,572,
623,515,516,214,565, 94, 87, 31,540,398, 43,476,278, 15,451,508,443,
626,196,420, 80,442,548, 52,640,643,154,193,430,604,312,448,245,292,
70,554,414,361,124,279,469,601,370,447,251,322,610,467, 33, 88,116,
308, 9,303,144,553,392,102,352,399,112,128,166,141,543,350,173,220,
190,403, 61,520, 79,517,619,231,651,218,482,323,581,558,109,201,599,
382,607,313,163,158,210,479,649,502,224,328,477,612,347,119,125, 64,
327,149,410,426, 22,321,493,460,335,631,378, 29, 27, 65, 20,507,266,
336,246,200,165,593,388,499,454,439,156,562,289,225,239, 53,495,484,
176,174,320,512, 50,343,276,295,513,135,371,647,192,290,500,546, 34,
189,205,130,229, 40,445, 96,294,242,505,131,465,514,616,614,129,291,
159,397,172,470,359,374, 82, 89,564, 42,566,608,344,424,481,222, 10,
627, 19,204,161,360, 63,541,339,160,650,209,531,353,389,265,122,355,
538,349,114, 57,501,592,105,591,341,433,611,646,569,169,634,428,175,
73, 90, 78,545,483,625, 83,254,597,533,123,381,325,285,466,582,362,
368,386,615, 66, 72, 21, 39,441,489,269, 71,425,305, 5,491,563,330,
573,202,641,509,510,452,598,326,449,492, 6,157,527,337,375, 17,199,
151,302, 41,213,413,241,180,369,550,314, 97,280, 13,453,473,287,435,
568,262,404,555, 18,133,331,227,405,162,235)( 46,194,609,628, 60,412,
423, 99, 54,356,471,537,306,600,281,338,390,436,416,536,153,539,385,
136,400,579), ( 1, 91, 93,405,344,105,160, 62,121, 57,375,222,309,
523, 53, 87,322, 36,547,376, 59,295,463,622)( 2, 67,166,392,531,533,
446,272, 31,596,176, 11,157, 23,156, 63,214,604,521,290,238, 8,172,
26)( 3, 18,565,470,213,113,457,337,258,103,345,486, 64,414,142,534,
511,495,510,615, 27, 5,189,557)( 4, 71,262,354,134, 65,255, 28,385,
167,223,461,208,291,462,438, 81,576,554,328,356,343, 22,487)
( 6,572,294,540,428, 54,590,120,650,634,646,333)( 7,279,282,412,602,
616,409,411,544,252,587,644,307,548,589,600, 10, 84,456, 32,535,559,
184,574)( 9,617,419,217,362,493, 30,437, 58,504,481,127,618,552,234,
620,275,180,135,497,517, 39,141,466)( 12,450,380,315,338, 76,395,427,
467,632,649,519,614,152,630,292,536,575, 69,507,526,216,490,460)
( 13,335,398,627,571,410, 37,363,390,139,389,117,249,563,285,102,635,
568,199,520,436,118,529, 48)( 14,161,545,225,324,355,595, 98,205,418,
79,303, 35,453,327,123,334,560,638,297,235,349,378,182)
( 15, 25,458,342,422, 45,136,250,100,483,115, 88,401,448,447,177,243,
198,153,496,155,170,191,514)( 16,321,364,178,509, 92,269,264,631, 68,
449,231, 38,300,138,151,625,169,110,550, 33,348,530,388)
( 17, 41, 49,257,267,305, 44,500,489,359,215,126,598,369,323,330,417,
72,522,538,549, 51,128,332)( 19,211,370,288,119,183,162,192,624,122,
280,515)( 20,491,358,247,433,391,621,124, 86, 60,289,263,607,478,320,
168,464,373,227,233,431,537,148,220)( 21,301, 70,403,482,145,430,137,
206,302,623,175, 61,318,319, 85,415,465,558,432, 83,611,239, 43)
( 24,314,230, 99, 75,284,610,591,472,612, 94,506,283,593,597,281,613,
107,377,594,351,274,404,188)( 29,455,371,399,108,341,287,228,429,400,
528, 40,608,440,129,567,484, 95,408,379,642,539, 78, 96)
( 34, 56,329,420,256,452,277,423,626,488,207,445,273,573,201,171,480,
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365,339,165,566,246,104,132,651,286,503,357,368,212,299)
( 46,384,312,125,109,347,218,242,425,499,382,603,306,580,293,265,336,
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106,204,570,498,586,193,219,645,541,253,150,331,525,599)
( 50,562,532,459,564,163,144,276,477,476,421,187,588,513,469,444,196,
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97,426, 90,553,502,396,439,114,639,643,340,605,413,111)
( 55,402,578,353,313,197,383,524,174,374,479,311,561,245,190,159,112,
80,186,130,210,485,164,310)( 66,226,260,454,366,185,505, 82,577,473,
629,397,360,254,508,372,237,367,251,179,555,543,317,195)
( 74,352,361,325,441,648,451,209,266,501,194,546,381,494,154,640,143,
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( 2,568,471,204,230,157,585,429,447,453,201,412,211,497,147,234)
( 3,469, 16,194,324,109,113,334,400,416,538,293,602,104,467,421)
( 4,639,549,243,270,301,331,216,461, 42,608,635,122,245,573,368)
( 5,120, 11,275, 60,397,321,193,198,623,502,551,376,554,118, 24)
( 6,614,406,151,587, 96, 18,482,648,375,389,636,329,582,138,250)
( 7,599,511,408,206,442,628,178,105,507,154,583, 85,309,265,284)
( 8, 92,510,543,481,278,124,133,409,248,356,259,272,366,407, 90)
( 9,172,218,106,320,642,209,624,237,332,645,422,145,439, 32, 47)
( 10,139,513,433,557,313,196,464,322,141,403,354,330,181,520,242)
( 12,349,381,292,125,264,401,555,596,526,565,420,128,316,504,445)
( 13,155,646,576,417,564, 44,117,545,190,127,563,241,258,166, 28)
( 14,634,627, 48,559, 74,584, 61,534,291,386, 15,307,378,519, 37)
( 17,595,288,140,394,590,472, 54,327, 93,228,269,580, 91,500, 81)
( 20,598, 51,148, 58,616,174,566,171, 45,235,413,340,314, 71,541)
( 21,567,396,244, 80, 35,359,263,306,592,650,385,188,480,454,214)
( 22,440,612,305,522,459, 34,517,475,254,432,360, 86,231,212,498)
( 23,618,466,289,418,137,492,428,290,410,512,170,553,187,615,227)
( 26,649,347,490,239,620,256,203,525,318,328,606, 68,213, 75,373)
( 27,217,282,355)( 29,319,348,611,150,135,405,446,192,119,603,530,310,
506,604,556)( 30,402, 99,144,390,173,398,180,337,515, 77,531,597,516,
474, 82)( 31,561,210,456,387,251,622, 59,252,304,569,297,107,399,153,
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( 36,298,479,540,149,430,220,552,222,523,121,478,363,255,483,186)
( 38,509,460,225, 73, 55,108,470,638,435,484,632,299, 46, 94,164)
( 39,266,156,111,317,315,100,345,588,392,323,240,395,223,134,647)
( 41,352,233,438,253,609,633,404,336,643,143,184,161,202,487,448)
( 43, 50,177,364,226,160,629,391,491,281,485, 78,296,548,444,369)
( 49,142,503, 98,570,651,452, 89,458,424,261,276,152, 57,423,200)
( 52,285,158,283)( 53,489,560,536,499, 83, 95,221,382,312,527,370,547,
594,273,528)( 56,518, 72,441,572,607,384,455,176,558,110,280, 76,379,
123,215)( 63,335,644,167,268,415,437,494,427,260, 87,589,219,579,224,
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( 65,267,414,425,114,542,476,279,537,367,229,468,183,581,130,586)
( 66,514,165,341,262,473, 70,163,343,205,383,621,295,601,371,641)
( 67,393,326,365,477,630,342,246,199,578,535,159,562,546,207,271)
( 84,131,457,496)( 97,189,463,436,575,625,462,377,238,640,505,101,185,
339,311,303)(102,162,591,533)(112,488,195,236,247,613,600,493,302,
357,426,197,431,175,274,191)(136,325,443,169)(146,346)
(182,451,374,550)(208,508,486,308,419,571,605,257,626,277,358,411,380,
361,617,577), ( 1,130,445,105,465,373,609,286, 52,478,540,360,441,
169, 43,477, 88,561, 9,390,136,603,221,168,425,594,174,196,302, 47,
503,344,578,114,109,544,457,502,376, 70,634,513,299,530,541,355,422,
651,155,562, 51,162,165,356,577,448, 8,459,170,626,207,313,366,232,
295,452,414, 5, 20,191,188,547,318,486, 74,391,621,589,270, 59,282,
347,134,269, 79, 11,371, 61, 23,215,444,354, 63,358,612,244,218,304,
574,565, 40,248,631,357,262, 82,204,447, 29, 34,329,379,307,635,167,
133,243,210,472,230,353,483,650,630,646,592,434,150,208,264,369,287,
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455, 14, 66, 96,351,647,542,102, 15,278,311,496,404,549,203,161,546,
185,491,484,297,338,493,590,545,454,498,173, 65, 84,202,330,132,410,
259,147,192,619,597, 78,582,127,143,300,464, 4,322, 98,613,506, 94,
396,458, 97,580,395,283,537,340,144, 71,222,301,216,588,499,611,310,
106,229,515,261,555, 12,137,336,281,145, 55,460,129,312,348,384,640,
104,591,466,296, 38,124, 81,362,380,397,110,417,533,372, 39,271, 85,
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308,392,214,385,610,552, 50,123,600, 73,320,275,375,279, 22,412,587,
303,522,648,289,334,140,326,151,175,187, 67,368,435,186,416,164,213,
538,205, 25,342,393,518,471,599,116,258,606,195, 60,323,361,182,605,
325,482,363,429,178,317,152,584,131,260,568,148,331,508, 68,389,509,
119, 92,554,238,337,327, 57,400,247,638,558,407,245, 37,321,595,166,
433,128,501, 32,528,231,240,223,197,159,398,497, 44,405,217,126,411,
13,564,183,607,408,615,442,432,377,614,158,451,645,519,437,461,100,
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227,176,481,426,237,200,427,570,284,421,285, 24,352,268, 2,539,233,
567,593, 46,468, 53,534,469,305,644,255, 26,394, 30,413,309,449,333,
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158,382,181,513,653,135,176,283,206,242)( 85,240, 98,390,196,255,365,
257,156,377,183,522,523,138,179,333,274,282)( 95,231,570,468,367,525,
236,571,469,276,285,202,239,102,278,280,203,238)(104,590,308,309,295,
294,448,447,474,324,326,594,479,476,416,411,637,108),
( 1,563,195,490,441,133)( 2,567,628,615,542,129)( 3,564,342,467,544,
134)( 4,566,631,499,470,132)( 5,401,588, 43,413,130)
( 6,565,509,366,384,128)( 7,208,449, 45,543,127)( 8, 46,651,654,
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( 11,518,640,169,213,431)( 12, 95,522,173,211,432)( 13,426,337,172,
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( 16,657,558,171,209,100)( 17,525,513,168,216,429)( 18,404,587, 40,
210,435)( 19,324,427,341,308,248)( 20,321,275,637,289,249)
( 21,327, 39,411,309, 87)( 22,325,166, 76,311,247)( 23, 70,122,465,
313,115)( 24,230,106,541,189,246)( 25,322,547,557, 89,244)
( 26,326,607,220,312,245)( 27,323,331,407,310,243)( 28, 32, 74,126,
464,116)( 29, 75,123,460,305,114)( 30, 72,119,462,609,113)
( 33, 71,121,137,612,118)( 35, 73,124,461,597,117)( 36,412,418, 88,
398,359)( 37,415,295, 84,399,589)( 38, 65,533, 68,403, 60)
( 41,414,535, 86,400,330)( 42,416,436, 85,405, 47)( 44,402,534)
( 48,486,646,439,202,447)( 49,652,508,370,206,445)( 50,630,375,397,
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( 53,258,576,139,205,446)( 54,260,526,138,555,572)( 55,261,265,135,
621,152)( 56,262,186,142,144,224)( 57,259,146,140,110,540)
( 58,264,532,136,648,574)( 59,263,354,141,362,573)( 61,529, 67,586,
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( 78,514,374,396,484,159)( 79,629,373,393,527,161)( 80,537,328,394,
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( 83,624,371,390,456,167)( 90,103,329,192,548,150)( 91,271,333,409,
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( 94,538,283,406,545,379)( 96,367,389,559,178,297)( 97,276,636,292,
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(101,382,237,560,286,299)(102,520,153,254,452,266)(104,539,191,530,
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(109,368,188,580,151,225)(155,253,492,267,469,623)(156,256,495,272,
458,180)(157,255,494,268,618,481)(158,251,496,269,635,343)
(174,608,510,369,274,577)(175,641,380,238,385,284)(176,638,287,365,
386,579)(177,184,235,364,388,578)(179,303,507,200,387,443)
(181,236,553,655,483,457)(182,234,599,583,278,459)(183,233,625,504,
596,348)(185,231,455)(196,491,442,571,301,549)(197,281,444,639,300,
242)(198,489,361,653,304,422)(199,345,440,642,306,505)
(201,488,383,239,307,282)(217,316,613,602,617,475)(218,319,627,591,
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(223,314,291,604,601,581)(240,645,285,511,554,378)(241,552,280,519,
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(334,590,593,502,473,423)(335,633,498,472,428,339)(338,644,524,500,
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(347,421,351,649,360,634)(349,363,358,515,417,353)(355,485,357,523,
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[ ( 1,371,111, 41,349, 53, 26,645,506,243,652,496,572, 34,292,359,598,147)
( 2,375,413,407,350, 56,591,644,310,535,297,494,446,168,290,327,601,
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169,182,587,600,136)( 7,372,544,192,353, 14,603,159,545,556,225,452,
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105,574,172,289,534,296,551)( 9,376,441,409,354, 59,462,457,547,487,
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657,235, 61,340,318,439,511,642,187,273)( 12,616,163,554,471,230,453,
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415,541,636,109, 62,335,312,436,299,614,190,419)( 15,381,167,640,634,
140,178,329,389,507, 68,338,317,397,201,251,193,263)( 16,527,161,639,
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114, 44,485, 52)( 23,560,360,246,145,306,655, 28, 37,363, 51, 24,307,
504,115, 42,649, 48)( 25,385,505, 87,486,650,396, 29,254,356,259,148,
300,185,112, 36,141, 49)( 27,431,269,245,651,625,425, 32,562,361,622,
146,304,461,117, 39,489, 46)( 69,217,443,621,532,516,464,454,607,490,
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609,585,475,654,402)( 77,498,537,129,214,222,128,212,218,579,612,529,
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158,382,181,513,653,135,176,283,206,242)( 85,240, 98,390,196,255,365,
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134,526,326)( 4,512,113,566,419, 30,631,355, 72,499,485,119,470,357,
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457,591,130,181,594)( 6,511,298,565,554, 99,509,378,318,366,240,626,
384,645,561,128,285,453)( 7,161,475,208, 79,217,449,629,316, 45,373,
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( 4,632, 40,633,357)( 5,324,638, 36,165)( 6,423, 18,458,312)
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( 10,620,467,183,643)( 11,627, 80,123,533)( 12,152,127,416,471)
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( 42,316,241, 64,378)( 43,212,240,594,330)( 44,538,561,575,574)
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(442,497,552,580,527)(472,600,564,558,631) ] ],
[ 2, 871200, 0, "3a", [ [ 55, 1 ], [ 110, 2 ], [ 132, 2 ], [ 120, 1 ] ], 1,
"PSL(2, 11)^2.2", [ "L", [ 2, 11 ], 2 ],
[ ( 1,235,308,513,352,133,503,186,337,403,198, 87,363,489,140)
( 2,408,632,562,607, 25,166,620,478,488, 99, 52,447,346,568)
( 3,147,134,213,611,209,557,144,125,499,315,609,393,259,129)
( 4,247,317,301,224,462,276,216,567,288,438,253,641,630, 22)
( 5,158,376,342, 81,171,636,141,471,188,256,518,634, 59,472)
( 6,127,105,258,574, 80,642,580,241,206, 49,264,401,150,377)
( 7,184,576,591,194,394,155,495,204,269,182, 54,606,530,180)
( 8, 28,443,529,174,463,517,647,157,356, 89,278,571,272,484)
( 9,479,457,284,656,251,569,130,604,649,573,643,221, 70,353)
( 10, 74,382,531,441, 46,327, 34, 84,314,645,319,600,397,305)
( 11,191,149,597,398,121, 17,358,388,418,325,254,262,651,285)
( 12,433,283,270,423,126, 77,590,177,323,374,560,658,357,605)
( 13,304,497,412,395,183,494,167,468,481, 83,324,211,469,161)
( 14,173,589,458,444,132,502,164,406,544,379, 41,622,339,486)
( 15,527,290,350,561, 97, 73,367, 85,243,340,646,162,498,306)
( 16,452, 53,227,375,535,148,208,255,122,102,655,386,362,581)
( 18,492,487,542, 27,101,156,490,446,615, 31,250,477,584,309)
( 19,506,547, 42, 96,335,218,587,361,383,117,417,330,246,146)
( 20, 69, 26,602,349,236,106,321,196,534,603,281,384,326,551)
( 21,459,510, 62,370,450,577,652,464, 71,626,415,470,280,226)
( 23,550,169,344,120,430,582,572,159, 67,118,426,545,627,437)
( 24,435, 55,504,110,466,404,139,501,453,523,624,392,381,644)
( 29,617,601,460,454,522,202,187, 43,558,293,546,389, 79,192)
( 30,282,181,619,659, 60,451,378,424, 56,232,593,373,515,193)
( 32,341,233,385,212,312,564,480, 98,223,242,228,496,387,493)
( 33,328, 40,260,585, 72,554,570,222,449,414, 93,220, 82,614)
( 35, 58,214,294,563,277,410,625,456,225,153,252,516,201,179)
( 36,413,268,351,579,347,275,578,238,137,131,638,189,421,116)
( 37,217,300, 51,548,103,429,318,119,455,289,271,536,231,109)
( 38,465,440,420,207,320,428,660, 44,608,215,537,476,588, 57)
( 39,432,402,176, 94,354,200,265,240, 75,210, 65,248,297,526)
( 45,124,533,559,556,205, 92,474,509,507,355,618,332,396,197)
( 47,613,345,273, 90,316,143,565,508, 63,165,520,436,635,322)
( 48,291,583,234,136,108,422,637,168, 68,505,123,616,485,439)
( 50,654,400,598,307,333,190,566,178,303, 76,229,525,631,128)
( 61,391,390,175,425, 66,482,599,610,138,336, 95,653,371,628)
( 64, 86,112,445,419,431,111,372,399,633,639, 91,555,592,296)
( 78,512,203,299,295,380,405,338,640,366,648,261,552,553,528)
( 88,237,230,369,113,500,287,594,249,257,365,540,104,475,313)
(100,442,575,142,311,360,152,586,244,434,154,539,467,612,115)
(107,514,170,266,483,623,519,199,172,298,334,114,524,239,343)
(135,427,411,163,245,195,331,473,302,491,151,549,541,274,657)
(145,416,621,263,359,595,596,521,267,348,461,160,219,329,407)
(185,543,292,364,511,279,532,650,629,409,538,310,368,448,286),
( 1,124,167, 37,534, 72,205,177,299,142,575, 75)( 2,568,305,361,214,
430,387, 28,511,410,173,136)( 3,498,386,199,656,431,111, 31,267,181,
243,427)( 4,524,617,345,343,567,318,383,163,101, 65, 48)
( 5,334,224, 53,237,584,411,619,398,245,156, 86)( 6,317,574,454,578,
309,482,289,599,519,392,526)( 7,168,254,357,259, 8,369,192,416, 47,
178, 94)( 9,510,390,577,530, 98,189,531,348,441,381, 14)
( 10,188,127,295,622,365,175,236, 62,651,453,476)( 11,322,327,366,566,
218,458,503,158,616, 71, 20)( 12,621,606,451,300,499,315,419,202, 70,
329,535)( 13,166,206,520,220,456,413, 42,559,538,391, 68)
( 15,164,514,352,227, 46, 27,203,555,212,151,320)( 16,291,483,120,633,
335,490,292,162,272,274,153)( 17,457,590,417,631,125, 43,174,141,394,
297,637)( 18,466,197,251,630,116,539,609,549,105,304,204)
( 19,634,551,301,422,475,428,170,508,191,553,331)( 21,600,544)
( 22,193,115,660,250,340,395,603,266,112,533, 87)( 23,368,373, 56,607,
67,639,372,364,346,655,255)( 24,341, 59,632,580,444,262,159,138,382,
307,225)( 25, 93,110,571,426,434,610,436,516,474,351,108)
( 26,273,154,260,608,123,570,507,512,529,183,494)( 29,216,569,161,323,
195,194,311,271,615,145,328)( 30,377,130,338,592, 55,160,196,581,638,
213, 38)( 32,421,129,157,370,371, 54,117,406,642,604,635)
( 33,480,404,147, 92,379,150,359,412, 84, 61,591)( 34,279,587,509,450,
201,165,360,228,572,463, 83)( 35, 91, 41,349,478,424,385,133,437,561,
652,465)( 36,384,281,658,435,405,420,109, 66,513,648,460)
( 39,211, 49, 81,429,449,653,597,605, 45,504, 76)( 40,657,554,146,100,
542,332,647,396,247,481,505)( 44, 95,268,563,186,275, 80,627,380,139,
501,310)( 50,184,425,149,500,219,401,257,472,284,579,128)
( 51,623,464,496,560,491,493,459,248,276,645,132)( 52,269,325,187,169,
144,636,231,294,461,594,402)( 57,432,217,233,489,374,354,397,261,546,
293,415)( 58,469,388,235,118,618, 88,528,629,244,333,440)
( 60,393,492, 64,527,479,473,350,399,595,239,148)( 63,487,654,442,583,
298,256, 82,356,462,418,324)( 69,326,378,290,308,140,452,282,588,215,
85,102)( 73, 79,337,353,122,548,207,209,445,240,321,576)
( 74,443,249,517,226, 96,376,143,312,565,598,439)( 77,471,641,455,119,
303,114,283,389,313,135,176)( 78,547,242,521,363, 89,339,155,106,485,
319,611)( 90,625,230,624,484,550,518,347,506,286,525,241)
( 97,104,407,562,659,400,557,277,362,121,573,650)( 99,288,232,330,409,
172,375,234,582,541,646,316)(103,246,302,314,558,613,477,502,270,278,
438,470)(107,448,229,564,253,488,285,626,446,252,287,486)
(113,467,537,190,358,355,198,540,342,614,640,171)(126,644,522,543,200,
238,210,447,536,264,423,179)(131,336,258)(134,589,585,596,180,223,
497,221,643,280,586,182)(137,408,403,296,523,185,602,593,628,545,552,
367)(152,265,222,601,556,433)(208,414,532,495,306,468,344,263,515,
612,620,649) ] ],
[ 3, 871200, 0, "3b", [ [ 55, 1 ], [ 110, 2 ], [ 132, 2 ], [ 120, 1 ] ], 1,
"PSL(2, 11) wreath Sym(2)", [ "L", [ 2, 11 ], 2 ],
[ ( 1,184,654,566,144,186)( 2,438,462,570, 40, 25)( 3,119,108,247,280,561
)( 4, 99,220)( 5, 10,479,267,299,443)( 6,148,153, 90,485,262)
( 7,316,524,599,176, 67)( 8,201,268,102,346,435)( 9,531, 21,615,
193,225)( 11,334,648,515,611,187)( 12,374,264,642,115,434)
( 13,598,286,634,487,475)( 14,377,514,270,344, 41)( 15,565,609,589,
544,606)( 16,189,404,478,294, 89)( 17,191,254)( 18,109,455,457,221,
101)( 19,540,423,269,288,551)( 20,430,448,138,401,295)
( 22,194,335,534,323,287)( 23,105,425,236,528,364)( 24,449,235,355,
488,497)( 26,384,539,152,122,375)( 27,251,563,450,397,659)
( 28,244,142,338,203,517)( 29,530,492,564,635,555)( 30,602,512, 42,
494,124)( 31,130,548)( 32,226,327)( 33, 73,320, 57,613, 82)
( 34,106,227,284,407,636)( 35,452,234,322, 80,358)( 36,313,545, 85,
633,356)( 37,656,441,383,413,212)( 38,260,520,646,414,207)
( 39,433,266,657,529,208)( 43,342,160,639,567,637)( 44,510,621, 55,
230, 94)( 45, 87,167,607,614,523)( 46,256,329,643,647,553)
( 47,240,390,394,120,170)( 48,243,464,231,315,276)( 49, 63,277,149,
168,655)( 50,300,597,371,472,332)( 51, 62,253,209,306,505)
( 52,451,282, 61,336,408)( 53,172,560,157,491,354)( 54,393,400,133,
308,190)( 56, 84,573,309,626,179)( 58,440,116)( 59,630,431, 79,583,
416)( 60,618,405,326,324,246)( 64,596,616,301,471,460)( 65,161,421)
( 66,593,166)( 68,352,469)( 69,359, 70,600,158,255)( 71,370,242,312,
74,319)( 72,222,215,527,143,608)( 75,104,652,420,139,219)
( 76,175,651,533,188,318)( 77,210,245,239,386,272)( 78,623,499,424,
121,601)( 81,610,333,474,388,536)( 83,376,409,369,477,178)
( 86,459,402,216,542,310)( 88,365,500)( 91,641,248,543,584,577)
( 92,304,196,232,361,261)( 93,554,617,546,644,453)( 95,271,192,541,
387,123)( 96,103,493,314,353,275)( 97,495,147,345,486,622)
( 98,217,482,411,558,291)(100,426,582,298,483,360)(107,325,619,380,
389,129)(110,202,328)(111,532,265,415,446,317)(112,508,591,293,228,
250)(113,131,498,572,484,419)(114,173,627,574,379,177)
(117,180,605,349,224,237)(118,603,628,629,366,580)(125,241,549,185,
590,290)(126,311,127)(128,303,181,373,218,506)(132,502,519,206,159,
357)(134,155,198,525,229,363)(135,428,632,285,233,595)
(136,439,468,412,140,403)(137,579,476,660,252,410)(141,183,249,511,
631,490)(145,620,465,480,418,195)(146,305,223,638,649,289)
(150,213,279,331,367,283)(151,398,447,461,496,537)(154,343,550)
(156,204,273,341,522,372)(162,427,258,658,538,259)(163,214,509)
(164,557,576,444,436,340)(165,182,653,199,437,297)(169,257,296,350,
347,174)(171,571,569,645,640,263)(197,592,399,489,337,556)
(200,432,238,351,481,395)(205,466,211,503,585,568)(274,302,559,396,
516,625)(278,552,612)(281,382,604,362,518,348)(292,501,587)
(307,417,378)(321,581,442)(330,504,381,368,650,547)(385,473,391,422,
454,429)(392,588,526,521,470,594)(406,458)(445,507,513)
(456,562,535,463,624,578)(467,575),
( 1,299,108,236,444,626)( 2,597,480, 63, 77,183)( 3,517,377,621,112,
313)( 4,267,449,548,557,227)( 5,596,170,453,650,572)
( 6,593,421,209, 21,240)( 7,585,429,347,228,178)( 8,134,515, 91,
401,425)( 9,398,343, 72,216,120)( 10,514,541,489, 23,141)
( 11,245,492,270,364, 87)( 12,127,144,262,655,457)( 13,266,309, 46,
248,568)( 14,148,119,272,220,275)( 15,418,508,171,658,142)
( 16, 93,420,554,569,464)( 17,558,651,323,512,247)( 18,200, 33,463,
524,122)( 19,150,140,254,255, 27)( 20,500, 82,433, 80,312)
( 22,623,607,361,118, 70)( 24,518,168,636, 73,280)( 25,612, 88,101,
204,277)( 26,243,327,363,472,352)( 28, 57,217,458,657,641)
( 29,579,260,338,526,386)( 30,501,495,565, 79,304)( 31,334,510,133,
67,476)( 32,615,632,261,484,487)( 34,602,534,290,423,374)
( 35, 42, 41, 48,285,539)( 36,181,509,300,577,587)( 37,239,505,400,
545,594)( 38,293, 56,450,466,613)( 39, 40,538,519,221,348)
( 43,192,452,610,628,307)( 44,560,320,302,527,195)( 45,344,616,359,
483,516)( 47,271,498,166,137,177)( 49,234,611,535,294,353)
( 50,244,583,292,406,652)( 51,550,226,333,114,608)( 52,448,182,250,
219,395)( 53,581,106,580,574,590)( 54,660,276,442,349,289)
( 55,614,646,187,649, 74)( 58,422, 62,139,410,193)( 59,591,143,163,
238,447)( 60,513,138, 71,196,159)( 61,256,242,437,135,468)
( 64,342,588, 94,392,603)( 65,126,391,413,340,232)( 66,640,369,522,
496,456)( 68,319,354,225,494,131)( 69,397,176,207, 85,298)
( 75,110,351,107,201,103)( 76,316,251,208,100,315)( 78,470,194,173,
424,469)( 81,521,601,491,559,390)( 83,125,310,184,258,303)
( 84,199,435,412,582,153)( 86,155,606,556,638,268)( 89,488,419,622,
273,474)( 90,145,490,373,543,308)( 92,318,654,461,301,362)
( 95,451,619,546,635,165)( 96,426,408,205,653,573)( 97,311,105,645,
180,230)( 98,158,287,328,331,252)( 99,659,620,656,336,479)
(102,321,123,631,215,459)(104,231,589,214,288,575)(109,253,378,189,
335,371)(111,465,157,210,326,542)(113,531,394,637,235,154)
(115,440,332,486,411,416)(116,432,297,269,555,633)(117,441,547,618,
306,567)(121,278,161,383,156,341)(124,455,314,592,229,186)
(128,399,551,536,571,403)(129,202,471,206,553,350)(130,387,528,346,
324,385)(132,404,417,360,634,317)(136,478,264,237,446,540)
(146,384,257,462,357,179)(147,523,396,643,563,639)(149,467,439,218,
345,370)(151,241,530,409,249,167)(152,222,160,520,284,499)
(162,407,576,376,393,586)(164,532,525,405,473,286)(169,259,198,175,
604,600)(172,570,533,627,493,506)(174,414,274,502,233,368)
(185,562,537,427,436,549)(188,279,609,504,598,642)(190,629)
(191,434,497,224,322,212)(197,544,454,246,647,644)(203,503,282,564,
281,599)(211,443,402,382,477,578)(213,329,605,595,507,561)
(223,375,430,380,566,482)(263,265,330,511,445,388)(283,460,296,367,
648,529)(291,356,485,475,431,365)(295,415,358,389,428,438)(305,481)
(325,630)(337,366,625,584,379,381)(339,617,355,552,624,372) ] ],
[ 4, 871200, 0, "3b", [ [ 55, 1 ], [ 110, 2 ], [ 132, 2 ], [ 60, 2 ] ], 1,
"PSL(2, 11) wreath Sym(2)", [ "L", [ 2, 11 ], 2 ],
[ ( 1,591,510,540,389,454)( 2,363,652,226,431,558)( 3,626,160,399,607,562
)( 4,412,421,183,501,366)( 5,492,655,349,169,588)( 6,565,586,124,
611,574)( 7,255,249,437,617,634)( 8,271,470,563,605,192)
( 9,209,508,402,592,282)( 10,434, 32,149,657,516)( 11,583,351,539,
512,528)( 12,570,452, 97,163,420)( 13,637,497,438,405,392)
( 14,554,475,297,253,376)( 15,236,629,374,264,444)( 16, 75,416,335,
305,478)( 17,519,137,178,338,561)( 18,138,509, 68,619,487)
( 19,323,456,102,429,541)( 20,315,390,642,445,612)( 21,296,283,488,
529,459)( 22,133,458,185,237,582)( 23,327,140,564,409,195)
( 24,520,505, 86,630,284)( 25,447,200,370,547,112)( 26,177,590,356,
173,577)( 27,398,321,320,465,484)( 28,151, 60,199,352,656)
( 29,568,513, 39,450,417)( 30,638,477,353,205,559)( 31,453,326,136,
660,216)( 33,507,265,268,518,251)( 34,254,599,410,631,142)
( 35,442,467,259,121,206)( 36,645,553,336,262,654)( 37,312,383,387,
214, 54)( 38,422,585,309,290,482)( 40,130,395,274,650,334)
( 41,331,495,270,246,375)( 42,496,252,549,455,600)( 43,411,103,531,
201,385)( 44, 46,443,148,358,521)( 45,597,238,275,643,295)
( 47,231,369,627,348,141)( 48,347,446,604, 61,332)( 49,542,635,618,
474,451)( 50,154,435,144,343,258)( 51,213,330,407,277,620)
( 52,427,248,239,361,573)( 53,556,159,580,636,165)( 55, 72,288,167,
578,538)( 56,158,156,318,197,572)( 57,569,157,322,651,419)
( 58,359,546,382,119,227)( 59,394,548,493,120,480)( 62,524,126,128,
517,340)( 63,646,104,608,263, 82)( 64,424,384,186,628,174)
( 65,345,232,372,129,649)( 66,641,111,131,602,466)( 67,486,337,182,
364,506)( 69,533,215,373,584,615)( 70,203,245,108,514,115)
( 71,621,560, 99,571,557)( 73,386,286,329,105,319)( 74,304,391,511,
566,614)( 76,515,441,134,425,526)( 77,311,208,147,491,401)
( 78,400,481,498,324,107)( 79,461,606, 84,500,122)( 80,457,243, 92,
292,116)( 81,341,289,180,118, 98)( 83,594,448,462,222,544)
( 85,189,428,648,414,418)( 87,250,532,175,545,234)( 88,499,596,595,
436,346)( 89,218,193,179,489,536)( 90,603,396,207,127,490)
( 91,303,166,523,280,172)( 93,485,469,247,543,504)( 94,302,471,314,
220,223)( 95,171,555,449,534,432)( 96,187,589,155,530,313)
(100,473,388,483,294,479)(101,261,653,439,616,244)(106,272,610,181,
633,235)(109,204,625,233,601,242)(110,191,170,440,598,278)
(113,357,317,164,502,196)(114,468,525,552,381,494)(117,188,406,535,
194,426)(123,229,360,367,640,298)(125,300,354,153,659,522)
(132,632,184,176,587,146)(135,202,658,403,362,415)(139,299,623,211,
190,161)(143,365,257,567,145,622)(150,413,613,624,355,301)
(152,463,285,325,225,537)(162,404,279,291,241,224)(168,350,575,310,
380,377)(198,273,647,287,593,219)(210,230,472,293,260,269)
(212,430,576,342,228,581)(217,551,550,423,256,339)(221,308,316,368,
639,344)(240,433,378,379,609,281)(266,267,333,408,527,393)
(276,476,579,328,644,306)(307,503,397,464,371,460),
( 1, 7,177,332, 88,422,419, 69,631,303,323, 66)( 2,387,423,520,639,
24,266,413,327,460, 25,137)( 3, 13,169,297,513,349,214,466,416, 90,
91,630)( 4,179,308,560,629, 54,321,490,216,425,608,557)
( 5,134,183,129, 99,388,287,329,601,298,203,622)( 6, 28,193,300,558,
141,175,325,353,578,634,206)( 8,633,532,245,486,420,336,147,462, 35,
540,519)( 9,410,567,427,185, 34,521,337,407,553,394,265)
( 10,377,484,306,295,454,226,586,415,632,267, 37)( 11,195,165,181,579,
426,330,232,397,236,360,649)( 12,616,386,184,239,453,223,658, 26,274,
253,244)( 14,549,140,583,561,180,218,243,276,480,219,492)
( 15,113,305,507,114,556,263,434,385, 47,122,565)( 16, 87, 36,487,576,
404,448,338,246,535,595,136)( 17,531,643,103,278,659,575,273,373, 98,
222,196)( 18, 67,421, 83, 38, 51,430,269,189,570,542,237)
( 19, 97,505,452,152,650,455,411, 43,511,485,372)( 20,254, 92,459,120,
544,437,392, 93,234,362,341)( 21,209,458,469,240,259,220,235,589, 65,
361, 73)( 22,418,159,326,100,524,479,187,163,366,119,198)
( 23,528,161,217,174,515,225,368,262,188,548, 57)( 27,472,358,105,489,
364,294, 33,264,389,477,301)( 29,319,257,628,221,645,610,268,370,398,
186,554)( 30,124,508,375,307, 82, 52,126,104,281, 74, 48)
( 31,620,514,210, 77,359,530, 58,641, 76,444,447)( 32,638,559,310,660,
501,390,270,248,488,277,546)( 39,328,442,627,408,355,374,381,322,111,
317,441)( 40,461,624,551,516, 41,138,541,108,367,215,192)
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478,123,498,587,655,168,340)( 80,241,251,640,224,536,395,547,290,499,
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( 85,429,636,320,481,304,144,406,335,112,468,647)( 89,399,171,491,351,
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471,197)(106,396)(110,435,348,252,495,493,128,316,451,199,603,242)
(115,116,286,293,509,562,142,229,602,312,564,569)(117,255,275,598,436,
555,132,315,249,614,176,250)(125,376,450,615,470,401)
(127,311,651,202,154,135,605,280,618,414,382,279)(139,433,534,625,365,
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637,619)(155,160,599,402,428,512,465,182,474,523,384,483)(166,654) ]
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333,121,650, 70,452,139, 21,134,554,511)( 12,598, 24,138, 81,183,123,
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( 13,392,449,132,617, 93,596,576,443, 73,257,534,269,356,400,604,378,
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( 23,503,445,335, 40,544,292,514,466,510,199,409,434,457,216,137,314,
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302,108,431,496,486,602,441, 87,162,311)( 26,636,440,498,444,329, 59,
488,145,613,625,249,494,615,365,136,405,178, 98,215, 76,115)
( 27,324,521, 30,469,133,338,470, 69,590,127,372,347,105,423,306,523,
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348,128,198,495,600,284, 85,146,659,616)( 29,424)( 37,606, 45,300,
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589,147,658,471,430,572)( 39,386,217, 86,116,463,220, 96,646,379,244,
349,567,130,155,592,638,124,557, 65, 61,628)( 42,288,538,169,562,368,
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346,267,642,399,398,603, 97,191,579,401)( 51,459,480,383,535,289,552,
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( 57, 80,462,418,185,310,254,587,150,188,103,153,308,175,451, 68,214,
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( 15,313, 50,177, 87,626,252,478, 25,538,608,272)( 16,529, 85,631,421,
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( 17,403,571)( 18, 55,100)( 19,110,172)( 20,623,625)( 21,572,180)
( 22,430,196)( 23,606,182)( 24,474,253)( 26,293,222)( 27,211,252)
( 28,171,276)( 29,188,594)( 30,300,643)( 32, 98, 41)( 33,577,123)
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( 39,204,309)( 40,337,147)( 42,635,422)( 43,356,283)( 44,186,193)
( 46,473,312)( 47,629,355)( 48,360, 78)( 49,282,268)( 50,576,260)
( 51,317,183)( 52,329,590)( 54,537,330)( 56, 65,390)( 57,333,407)
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( 64, 99,426)( 66,591,221)( 67,387,130)( 69,320,295)( 70,464,397)
( 71,607,512)( 72,491,166)( 74,436,492)( 76,610,521)( 77,628,548)
( 79,524,666)( 80,274,478)( 81, 85,148)( 82,156,501)( 83,169,423)
( 84,437,457)( 86, 88,220)( 87,500,368)( 90,432,445)( 91,232,120)
( 92,652,633)( 93,199,191)( 95,525,248)( 96,579,442)( 97,541,494)
(101,381,490)(102,481,595)(103,661,656)(104,117,586)(106,231,418)
(108,505,443)(109,410,497)(111,225,538)(112,339,526)(113,374,465)
(114,495,151)(115,589,139)(116,185,642)(118,603,259)(119,528,654)
(122,659,609)(124,660,522)(125,137,297)(126,532,405)(127,291,179)
(128,549,261)(129,592,450)(131,244,535)(132,404,227)(133,460,243)
(134,496,546)(135,547,190)(136,138,632)(140,393,441)(141,486,365)
(143,440,638)(144,189,400)(145,565,462)(149,173,454)(150,553,239)
(153,396,164)(154,203,265)(155,376,275)(157,336,516)(158,615,459)
(159,416,467)(160,217,558)(161,326,267)(162,251,233)(163,340,566)
(165,334,429)(167,502,361)(168,427,348)(170,456,433)(174,438,514)
(175,488,395)(176,392,412)(177,646,616)(178,664,353)(184,408,663)
(192,364,602)(195,398,557)(197,236,489)(198,605,401)(200,362,551)
(201,651,238)(202,270,448)(205,604,235)(206,581,584)(207,264,650)
(208,325,255)(209,310,358)(210,331,402)(212,292,378)(213,359,435)
(214,389,453)(215,658,240)(216,424,561)(219,223,332)(224,281,613)
(226,597,349)(228,321,382)(229,463,258)(230,411,582)(234,299,562)
(237,315,452)(241,513,585)(242,477,277)(245,543,639)(246,468,318)
(247,444,324)(249,503,458)(250,533,531)(256,417,372)(257,301,311)
(262,657,653)(263,313,461)(269,369,662)(271,510,346)(273,472,574)
(278,434,439)(279,630,367)(280,527,345)(284,327,520)(285,608,493)
(286,583,523)(287,338,550)(289,539,573)(290,421,601)(294,556,618)
(296,373,568)(302,470,517)(303,498,375)(304,322,621)(306,508,350)
(307,379,377)(316,580,399)(319,425,596)(323,370,612)(328,344,506)
(335,640,343)(342,600,451)(347,617,567)(351,386,352)(354,540,476)
(357,446,648)(366,599,622)(371,431,598)(380,385,620)(383,645,507)
(384,637,624)(388,655,614)(391,564,555)(394,641,475)(406,487,484)
(409,529,428)(413,509,634)(415,542,483)(420,518,485)(447,649,554)
(479,534,627)(499,536,636)(511,515,665)(530,570,647)(552,569,593)
(560,619,578)(563,626,575) ] ],
[ 2, 50616, 0, "2", [ [ 19, 1 ], [ 38, 17 ] ], 1, "PGL(2, 37)",
[ "L", [ 2, 37 ], 1 ],
[ ( 1, 2, 4, 8, 15, 28, 51, 91,156,254,385,532,488,607,304,440,569, 27,
49, 88,151, 58, 64,112,191,305,441,570,453,577,648,493,475,382,529,
139)( 3, 6, 12, 22, 23, 42, 75,130,218,341,484,604,597,656,659,556,
274,409, 36, 65,114,193,187,300, 38, 69,120,203,318,123,208,326,465,
189,303,249)( 5, 10, 19, 35, 63,110,188,301,436,238,240,365,511,622,
540,636,666,639, 33, 59,105, 60,107,183,292,428,562,520,514, 85, 87,
150,244,373,485,165)( 7, 14, 26, 47, 84,145, 92,158,258,360,419,557,
406, 55, 98,170,118,200,225,350,495,611,476,599,500, 81,140,232,204,
289,425,531,472,595,601, 68)( 9, 17, 32, 57,102,176,282,416,374,522,
226,351,496,612,327,279,413,551,640,548, 99,172,276,332,473,596,580,
497, 79,136,227,352,498,581,609,101)( 11, 21, 39, 70,122,206,322,462,
585,652, 71,124,113,192,306,443,224,348,313,455,466,590,654,661,369,
516,624,655,657,400,119,202,317,142,197,106)( 13, 24, 44, 78,134,132,
222,295, 40, 29, 52, 93,160,260,247,330,471,448)( 16, 30, 54, 96,166,
163, 41, 73,127,213,334,367,512,623,600,621,109, 74,129,216,339,481,
560,287,423,558,643,606,649,534,633,665,553,565,646, 62)
( 18, 34, 61,108,185,296,155,252,383,404,546,507,620,128,215,104,180,
121,181,290,426,561,644,251,356,135,137,229,355,280,415,510,610,182,
291,171)( 20, 37, 67,117,198, 66,116,196,310,451,576,567,504,411,536,
261,392, 83,143,236,363,508,480,195,309,449,263,395,442,571,376,174,
277,268,347,444)( 25, 46, 82,141,233,359,505,572,450, 76,131,220,343,
487,605,651,410,285,149,243,186,298,427,494,573,538,391,231,358,320,
460,583,641,630,420,221)( 31, 56,100,173,278,144,237,147,241,368,515,
209,328,467,275,219, 89,153,248,379,526,628,549,490,517,146,239,366,
513,474,598,103,178,286,421,265)( 43, 77,133,223,346,491,371, 45, 80,
138,230,354,501,293,408,167,269,175,281,179,288,424,559,638,653,626,
663, 48, 86,148,242,370,325,311,452,338)( 50, 90,154,250,381,528,159,
259,390,207,324,417,361,429,564,634,161,262,342,486,414,125,211,331,
380,527,393,535,625,662,618,399,541,492,575,372)( 53, 95,164,266,398,
539,586,545,502,255,386,478,563,554,642,111,152,246,377,525,199,314,
364,509,518,616,614,589,645,214,336,479,201,316,397,378)
( 72,126,212,270,402,542,533,631,523,335,477,437,459,582,312,454,482,
603,190,210,329,469,593,550,344,489,357,503,524,627,177,284,205,321,
461,470)( 94,162,264,396,537,635,592,245,375,323,463,587,617,647,629,
632,349,299,435,422,217,307,445,521,613,228,353,499,615,157,256,388,
457,438,434,446)( 97,168,271,403,544,637,337,430,387,253,384,530,412,
283,418,555,234,235,362,506,619,574,345,115,194,308,447,257,389,297,
433,566,302,319,458,543)(169,273,407,519,464,588,602,594,333,456,579,
650,658,664,660,394,401,272,405,547,578,315,267,184,294,431,340,483,
552,468,591,608,584,439,568,432),
( 1, 3, 7)( 2, 5, 11)( 4, 9, 18)( 6, 13, 25)( 8, 16, 31)
( 10, 20, 38)( 12, 23, 43)( 14, 27, 50)( 15, 29, 53)( 17, 33, 60)
( 19, 36, 66)( 21, 40, 72)( 22, 41, 74)( 24, 45, 81)( 26, 48, 87)
( 28, 49, 89)( 30, 55, 99)( 32, 58,104)( 34, 62, 77)( 35, 64,113)
( 37, 68,119)( 39, 71,125)( 42, 76,132)( 44, 79,137)( 46, 83,144)
( 47, 85,147)( 51, 92,159)( 52, 94,163)( 54, 97,169)( 56,101,175)
( 57,103,179)( 59,106,182)( 61,109,187)( 63,111,190)( 65,115,195)
( 67,118,201)( 69,121,205)( 70,123,209)( 73,128,114)( 75,112,158)
( 78,135,226)( 80,139,231)( 82,142,235)( 84,146,240)( 86,149,191)
( 88,152,247)( 90,155,253)( 91,157,257)( 93,161,263)( 95,165,126)
( 96,167,270)( 98,171,275)(100,174,280)(102,177,285)(105,181,192)
(107,184,295)(108,186,299)(110,189,304)(116,197,312)(117,199,232)
(120,204,320)(122,207,325)(124,210,330)(127,214,337)(129,217,260)
(130,219,342)(131,221,281)(133,224,349)(134,225,148)(136,228,354)
(138,145,238)(140,200,315)(141,234,361)(143,194,300)(150,245,376)
(151,178,287)(153,249,380)(154,251,382)(156,255,387)(160,261,393)
(162,265,397)(164,267,400)(166,268,401)(168,272,406)(170,274,410)
(172,277,389)(173,279,414)(176,283,419)(180,289,248)(183,293,430)
(185,297,269)(188,302,438)(193,307,446)(196,311,453)(198,313,258)
(202,290,427)(203,319,459)(206,323,386)(208,327,466)(211,332,474)
(212,333,475)(213,335,478)(215,338,423)(216,340,310)(218,316,456)
(220,344,467)(222,345,490)(223,347,493)(227,301,437)(229,356,502)
(230,357,504)(233,360,314)(236,364,510)(237,365,512)(239,367,514)
(241,369,517)(242,371,519)(243,372,520)(244,374,523)(246,378,421)
(250,329,470)(252,353,500)(254,341,485)(256,383,350)(259,391,511)
(262,394,264)(266,399,498)(271,404,528)(273,408,549)(276,411,529)
(278,412,454)(282,417,554)(284,420,379)(286,422,377)(288,362,507)
(291,409,550)(292,429,565)(294,405,548)(296,432,461)(298,434,558)
(303,439,525)(305,442,413)(306,444,542)(308,448,368)(309,450,366)
(317,452,537)(318,457,580)(321,331,472)(322,447,574)(324,464,326)
(328,468,592)(334,476,516)(336,480,426)(339,482,424)(343,488,608)
(346,492,585)(348,494,610)(351,497,614)(352,487,606)(355,381,441)
(358,489,609)(359,479,601)(363,460,584)(370,518,625)(373,521,555)
(375,524,599)(384,531,431)(385,533,632)(388,522,626)(390,392,534)
(395,536,615)(396,538,620)(398,540,605)(402,543,513)(403,545,440)
(407,541,604)(415,552,562)(416,553,641)(418,556,631)(425,560,640)
(428,563,583)(433,443,572)(435,483,527)(436,567,647)(445,573,646)
(449,575,633)(451,551,506)(455,578,642)(458,581,595)(462,586,587)
(463,535,634)(465,589,653)(469,594,546)(471,547,639)(473,597,657)
(477,600,539)(481,602,530)(484,501,616)(486,593,557)(491,564,645)
(495,503,617)(496,613,659)(499,569,619)(505,618,566)(508,579,651)
(509,621,637)(515,559,588)(526,629,664)(532,630,650)(544,638,666)
(561,622,660)(568,603,570)(571,627,663)(576,598,644)(577,649,624)
(582,607,635)(590,612,658)(591,596,655)(611,623,661)(628,656,652)
(636,643,662)(648,654,665) ] ],
[ 3, 6881876545613172523157989790790451200000000, 1, "2",
[ [ 595, 1 ], [ 70, 1 ] ], 1, "Alt(37)", [ "A", 37, 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)
( 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,
666)( 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,
665,632)( 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,
664,598,633)( 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,
663,564,599,634)( 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,
662,531,565,600,635)( 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,
661,499,532,566,601,636)( 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,
660,468,500,533,567,602,637)( 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,
659,438,469,501,534,568,603,638)( 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,
658,409,439,470,502,535,569,604,639)( 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,
657,381,410,440,471,503,536,570,605,640)( 69, 82, 96,111,127,144,162,
181,201,222,244,267,291,316,342,369,397,426,456,487,519,552,586,621,
656,354,382,411,441,472,504,537,571,606,641)( 81, 95,110,126,143,161,
180,200,221,243,266,290,315,341,368,396,425,455,486,518,551,585,620,
655,328,355,383,412,442,473,505,538,572,607,642)( 94,109,125,142,160,
179,199,220,242,265,289,314,340,367,395,424,454,485,517,550,584,619,
654,303,329,356,384,413,443,474,506,539,573,608,643)(108,124,141,159,
178,198,219,241,264,288,313,339,366,394,423,453,484,516,549,583,618,
653,279,304,330,357,385,414,444,475,507,540,574,609,644)
(123,140,158,177,197,218,240,263,287,312,338,365,393,422,452,483,515,
548,582,617,652,256,280,305,331,358,386,415,445,476,508,541,575,610,
645)(139,157,176,196,217,239,262,286,311,337,364,392,421,451,482,514,
547,581,616,651,234,257,281,306,332,359,387,416,446,477,509,542,576,
611,646)(156,175,195,216,238,261,285,310,336,363,391,420,450,481,513,
546,580,615,650,213,235,258,282,307,333,360,388,417,447,478,510,543,
577,612,647)(174,194,215,237,260,284,309,335,362,390,419,449,480,512,
545,579,614,649,193,214,236,259,283,308,334,361,389,418,448,479,511,
544,578,613,648), ( 1, 2, 4)( 3, 6, 7)( 5, 9, 11)
( 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)(597,632,666) ] ],
[ 4, 13763753091226345046315979581580902400000000, 0, "2",
[ [ 595, 1 ], [ 70, 1 ] ], 1, "Sym(37)", [ "A", 37, 1 ],
[ ( 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)( 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,
308,326,344,363,362)( 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,
292,309,327,345,364,382,381,400)( 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,
276,293,310,328,346,365,383,402,401,419,438)( 25, 30, 35, 41, 47, 54,
61, 69, 77, 86, 95,105,115,126,137,149,161,174,187,201,215,230,245,
261,277,294,311,329,347,366,384,403,421,420,439,457,476)
( 36, 42, 48, 55, 62, 70, 78, 87, 96,106,116,127,138,150,162,175,188,
202,216,231,246,262,278,295,312,330,348,367,385,404,422,441,440,458,
477,495,514)( 49, 56, 63, 71, 79, 88, 97,107,117,128,139,151,163,176,
189,203,217,232,247,263,279,296,313,331,349,368,386,405,423,442,460,
459,478,496,515,533,552)( 64, 72, 80, 89, 98,108,118,129,140,152,164,
177,190,204,218,233,248,264,280,297,314,332,350,369,387,406,424,443,
461,480,479,497,516,534,553,571,587)( 81, 90, 99,109,119,130,141,153,
165,178,191,205,219,234,249,265,281,298,315,333,351,370,388,407,425,
444,462,481,499,498,517,535,554,572,588,602,615)(100,110,120,131,142,
154,166,179,192,206,220,235,250,266,282,299,316,334,352,371,389,408,
426,445,463,482,500,519,518,536,555,573,589,603,616,627,637)
(121,132,143,155,167,180,193,207,221,236,251,267,283,300,317,335,353,
372,390,409,427,446,464,483,501,520,538,537,556,574,590,604,617,628,
638,646,653)(144,156,168,181,194,208,222,237,252,268,284,301,318,336,
354,373,391,410,428,447,465,484,502,521,539,558,557,575,591,605,618,
629,639,647,654,659,663)(169,182,195,209,223,238,253,269,285,302,319,
337,355,374,392,411,429,448,466,485,503,522,540,559,551,570,586,601,
614,626,636,645,652,658,662,665,666)(196,210,224,239,254,270,286,303,
320,338,356,375,393,412,430,449,467,486,504,523,541,560,576,513,532,
550,569,585,600,613,625,635,644,651,657,661,664)(225,240,255,271,287,
304,321,339,357,376,394,413,431,450,468,487,505,524,542,561,577,592,
475,494,512,531,549,568,584,599,612,624,634,643,650,656,660)
(256,272,288,305,322,340,358,377,395,414,432,451,469,488,506,525,543,
562,578,593,606,437,456,474,493,511,530,548,567,583,598,611,623,633,
642,649,655)(289,306,323,341,359,378,396,415,433,452,470,489,507,526,
544,563,579,594,607,619,399,418,436,455,473,492,510,529,547,566,582,
597,610,622,632,641,648)(324,342,360,379,397,416,434,453,471,490,508,
527,545,564,580,595,608,620,630,361,380,398,417,435,454,472,491,509,
528,546,565,581,596,609,621,631,640),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
( 90,100)(110,121)(132,144)(156,169)(182,196)(210,225)(240,256)
(272,289)(306,324)(342,361)(343,362)(363,381)(380,399)(382,401)
(402,420)(418,437)(421,440)(441,459)(456,475)(460,479)(480,498)
(494,513)(499,518)(519,537)(532,551)(538,557)(558,570) ] ],
[5, Factorial(666)/2,1,"2",[[665,1]],664, "Alt(666)", ["A",666, 1], "Alt"],
[6, Factorial(666),0,"2",[[665, 1]],666, "Sym(666)", ["A",666, 1], "Sym"]];
PRIMGRP[667]:=
[[1, Factorial(667)/2,1,"2",[[666,1]],665, "Alt(667)", ["A",667, 1], "Alt"],
[2, Factorial(667),0,"2",[[666, 1]],667, "Sym(667)", ["A",667, 1], "Sym"]];
PRIMGRP[668]:=
[[1, Factorial(668)/2,1,"2",[[667,1]],666, "Alt(668)", ["A",668, 1], "Alt"],
[2, Factorial(668),0,"2",[[667, 1]],668, "Sym(668)", ["A",668, 1], "Sym"]];
PRIMGRP[669]:=
[[1, Factorial(669)/2,1,"2",[[668,1]],667, "Alt(669)", ["A",669, 1], "Alt"],
[2, Factorial(669),0,"2",[[668, 1]],669, "Sym(669)", ["A",669, 1], "Sym"]];
PRIMGRP[670]:=
[[1, Factorial(670)/2,1,"2",[[669,1]],668, "Alt(670)", ["A",670, 1], "Alt"],
[2, Factorial(670),0,"2",[[669, 1]],670, "Sym(670)", ["A",670, 1], "Sym"]];
PRIMGRP[671]:=
[[ 1, 885720, 1, "2", [ [ 66, 1 ], [ 110, 2 ], [ 132, 2 ], [ 120, 1 ] ], 1,
"PSL(2, 11^2)", [ "L", [ 2, 121 ], 1 ],
[ ( 1,520,376,618, 96,121,239,451,157,357,551,570,164,109,542,641,165,444,
505, 50, 30,386,406,356,351,374,598,667,136,558, 16,255,347,481,473,
651, 83,421,265, 40,522,322, 32,595, 90,346,511,507,202,514,547,281,
350,437, 78,581, 69,280,235,559,146)( 2, 6,625,100,665, 24,446,302,
327,504,185,259,173,498,355, 37,279,156,331,613,656, 95,110,233,143,
76, 7,315,103,448,168,272,153,203,600,538,151,276,494,354,189,283,
649,230,483,282,298,134, 71,404,368,526,669,425,564,192, 15,237,470,
442, 77)( 3,503,620,616,521,420,277,236,194,366,160,256,289,307, 91,
228,135,572,636,159,545,174,252,324,524,612,544,611,377,118, 45,211,
402,633, 43,486,122,183,336, 29, 72,393,554,664,576,364,334,104,316,
637,454,132,441,397,654,602,198,413,111, 86,163)( 4,660,492,474,431,
22,226,243,512,120,244,652,484,411, 73,528, 64, 26,391,496,479,571,
638,369, 89,344,630,417,640,412,407, 27,599,225,251,392,455,485,286,
557,345,361, 49,297,432,464,405,383,338,419,590,426,375,527,508,152,
385,434,499,187,422)( 5,155,317, 66,550,410,604,657,561,360,390,137,
150,114,497, 9,250,439,304,205,467,175,241,102,490,468, 53,403,471,
529,469,614,182,670,108,274,227,443,549, 18,617,190,466,223,593,401,
627,548,348,449,209,116,180,592,663,560,394,335,423, 98, 34)
( 8, 93, 23,430,339, 70,653,123,594,311,248,668,534, 79,326,567,299,
133,553,258,275, 39, 87,438,622,224,292,659,271,615,414,378,362,213,
341,242,501,666, 28,340,487,138,477,650,509,580,596,416,172,191,221,
363,171,396,206,270,418,588,314, 65,629)( 10, 17,200,328,229,379,518,
268,429,254,608,115,591,519,450,184,188,658,510,648,303,642,263,321,
632,540,245, 67,128,428, 21,447,323,586,465,308,238,169,606, 94, 92,
145,488, 85,318, 25,626, 48, 42, 88,144,562,582, 19,218,329, 74,647,
47,643,167)( 11, 81,573,387,162,462,296, 33,216,267, 55,565,388,645,
170, 62,140,457,287,365,253,166,577, 44,460,342,193,619,147,395,489,
384, 54, 57,523,266,601,148,456,398,624,409,352, 82,177,260,212,575,
585,264, 36,543,220,631,217,293,436, 99,389,319,506)( 12,569,294, 58,
240, 68,579,195, 46,583,536,130,478,126, 61,445,491,273,480,149,370,
459,300,141,367,566,107,142,158,381,113,313,661,325,574,587,234,291,
621,400,305,476,309, 31,535,517,320,208,408,458,513,424,117,196,129,
35,359,125,179, 20,306)( 13,215,222,261,525, 84,232,530,247,475, 51,
139,472,332, 59,495,380,556,210,290,371,568,628,197,288, 52,639,127,
533,176,634, 60,597,589,399,285,207,186,310, 41,546,154,671,610,124,
201,214,358,453,531,516,112,435,330,343,219,101,537,452,555,119)
( 14,178,578, 63,603,415,131,552,433,333,461,301,635,539, 38,515,440,
463,106,662,584,427,500,269, 56,532,563,493,644,204,349,262,646, 75,
353,502,295,541,372, 80,605,382,246,623,655,482,257,607,337,199,312,
609,105,284,373,278,161,249,181,231, 97),
( 1,359, 87, 34,105, 28,514,270,314, 93,394,305,507,168,132,407,117,
537,637,476,589,237,408,630,375,130,504, 84,480,616,671,195,338,503,
151,473,149,335,224,615,362,347,191,433,592,339, 58, 30, 27,357,555,
462,622,316,203,521, 23,260,546,570,383)( 2,496,202,194,256,506, 16,
104,150,628,417,654,519, 94,575,588,621,441,646,455,562,604,645,568,
306,556,148,627,582, 49,644, 3,459,414,387,328,428, 86,426,380,617,
420,281,543,393,576,481,187, 24,341,664,398, 18,457,326,534, 57,114,
565,366,396)( 4,342, 26,220, 63,131,376,269,348,411,452,134,265,139,
209,301,527,429,446, 61,614, 48, 50,416,263,331,160,355,649,285,118,
468,403,324,261,143,669,554, 71,303,487,520, 74,175,517, 77,465,344,
199,317,127,595,613,154,431,550,541,505,373,249,319)( 5, 10,296,162,
483, 13,544,310,110,212,177,488,180,381,447,625,660,124,405,166,670,
456,581,499, 81,267,558,242,278,167,533, 88,449, 25,126, 69,656,298,
374,320, 47, 66,218, 51, 85,415,171,350,409,264,479,598,388,205,395,
599,219, 64,100,115,113)( 6, 32,430, 15, 80,607,239,251,578,626, 60,
361, 14,293,206, 36,189,439,179, 37,540,667,573,215, 29,192,642,259,
307,186,585, 78,658,526,569,274, 7, 11,213,436, 97,485,530,647,181,
432,542,539,427,185,438, 40,665, 17,299,497,230,233,549,248,145)
( 8,346,638,169,142,450,280,561,639,435,392,182,240,201,482, 90, 31,
136,489,567, 21,477,313,475,516,109,524,377,451,531,176,158,580,591,
668,253,437,491,421,515,343, 35,467,297,358,472,593,351,128,661,379,
385, 83,292,271,600,214,551,330,153, 65)( 9,445,247,322,337,566,597,
282,364,659,367, 92,332,508,204,602, 19, 96,211,400,577,474,363,389,
448,101,164,422,287,419,412, 54,391,157,610,276,631,501, 73,147,370,
174,165,144,111,262, 89, 52,200,587,629,236, 95,232,574,635,522,634,
535,443,290)( 12,123,190,495,633,603,619,255,354,156,559,650,623,648,
221,289,295,442,318,108,208, 55,360,454,129,655,246,453,112,106,440,
68,620,223,624,478,304,643,302, 56, 72,666,321,463,509,406,404,315,
547, 44,161,159,197,137,258, 20,564,207,349,222,173)( 22,311,133,484,
528,266,227,352, 70,461,444,579,636,141, 67,553,284,193,241,402,163,
46,152,235,590, 38,245,518,608,413,486,606, 79,229,572,198,323,238,
188,257,640,356,369,424,397,545,469,460,552,594,184,234, 43,196,618,
312, 39,216,250, 62,492)( 33,513,183,493, 41,277,170,466,401,563,434,
641,605,596,651,368,500,120,275,498,382,125,288,410,146,333,291, 98,
53,663,300,609,386,548, 59,294,662,425,653,512,372,279,511,138,584,
121,571,353,657,390,601,334,119, 75,228,583, 82, 76,612,611,283)
( 42,557,329,458,225,502,652,340,586,308,336,217,244,116,529,286,399,
135,231,423,325,510,470,418,538,523,371,252,103,365,309,490,471,273,
384,494, 45,210,140,272,378,327,632,107,560,178,122,525,345,102,155,
243, 99, 91,268,254,172,226,532,464,536) ] ],
[ 2, 1771440, 0, "2", [ [ 66, 1 ], [ 110, 2 ], [ 132, 2 ], [ 120, 1 ] ], 1,
"PSigmaL(2, 11^2)", [ "L", [ 2, 121 ], 1 ],
[ ( 1,439,628,243,449, 45,535, 52,113,109,117,344)( 2,124,266,635,578,471,
342, 25, 60,468,588,651)( 3,424,137,579,508,197,390,600,174,552,393,
649)( 4,659,383,451,313, 66,246,134,337,327,179,640)
( 5,566,481, 47,154,295,587, 29,353, 64,497,296)( 6,288,201,641,300,
335,621, 67,564,663,500,463)( 7,581, 57,665,299,443,126,401,647,272,
359, 69)( 8, 35,531,634,352,671,425,173,182,341,138,461)
( 9,253,105, 30,180,286,262, 22,533,467,513,128)( 10,601,667,312,196,
135,103,548,151, 93, 36,334)( 11, 95,495,227,226,466,523,580,609,336,
305, 78)( 12,248,297, 50,218,377,406,442,490,257,339,392)
( 13, 27,306,664,363,373,518,450,375, 58,275,645)( 14,423,187,136, 61,
510,419,431,204,158,238,171)( 15,598,562,354, 65,194,314,221,642,364,
189,195)( 16,483,506,606,318,480,155,402, 49,147,120,282)
( 17, 77, 21,302,488,234,608,356,133,115,340,489)( 18,267, 99,622, 82,
71,153,362,492, 55, 32,374)( 19,543,511,408,311,382, 83,618,259,188,
422,239)( 20,328,517,503,670,106,214,242,547,386,291,224)
( 23,378, 46,558,491, 39,557,301, 92,545,436,429)( 24,164,130, 72,285,
437, 88,247,347,217,241,577)( 26, 59,650,116,397,332,388,110,541,170,
250,251)( 31, 81,108,561,544, 56,514,435,568, 73,163,630)
( 33,165,118,376, 79,586,407,191,410,432,284,178)( 34,369,505,661,321,
453,589,398,273,289,168,309)( 37,559, 38,636,349,593,167,303,279,584,
509,244)( 40,637,213,316,258,331,470,263,131,278,414,162)
( 41,175,528,657,207,161, 53,129,368,127,455,444)( 42,245,256,626,185,
555,357,611,149,602,101,475)( 43,324,633, 51, 62,391,502,150,144,215,
156,317)( 44,132,223,585,157,261,464, 75,100,229,148,417)
( 48,287,152,571,428,225,203,380,405,415,277,114)( 54,420,211,605,479,
177,268,122,249,270,525,274)( 63,575,281,504,210,325,592,184,522,445,
91,487)( 68, 85,457,527,477,540,181,228,532,660,658,625)
( 70,594,381,572,530,433,501,111,385,384,379,142)( 74,563,507,236,199,
551,476,529,395,516, 90,146)( 76,462,160,498,632,219,472,614,583,343,
322,411)( 80,265,212,389,361,193,330,119,365,235,458,554)
( 84,123,565, 94,271,202,216,473,222,644,624,474)( 86,567,205,209,232,
230,360,456,412,290,452,418)( 87,269,233,494,639,666,310,438,574,570,
662,292)( 89,280,208,576,366,668,409,617,371,627,125,355)
( 96,107,648,190,338,294,143,440,542,482,416,539)( 97,454,515,536,656,
465,534,669,613,526,591,220)( 98,646,446,326,308,573,159,141,403,329,
387,603)(102,348,140,320,560,252,620,358,169,520,448,198)
(104,237,499,351,283,459,631,183,319,653,240,307)(112,610,426,441,612,
345,121,550,447,638,430,421)(139,623,607,537,254,200)
(145,323,346,512,413,478,434,370,556,206,396,460)(166,596,619,484,192,
655,590,276,486,654,367,255)(172,652,569,298,264,394,524,597,427,599,
521,176)(186,315,293,404,493,304,260,595,538,615,629,496)
(231,333,469,582,372,549,604,616,400,350,546,485)(399,643)(519,553),
( 1,455)( 2,126)( 3,493)( 4,665)( 5, 32)( 6,121)( 7,315)( 8,204)
( 9,402)( 10,605)( 11,169)( 12,667)( 13,633)( 14,505)( 15,381)
( 16, 99)( 17,470)( 18,568)( 19,631)( 20,290)( 21,193)( 22,274)
( 23,368)( 24,650)( 26, 55)( 27,138)( 28,589)( 29, 91)( 30, 69)
( 31,244)( 33,139)( 34,597)( 35,183)( 36,107)( 37,630)( 38,108)
( 39,267)( 40,629)( 41,612)( 42,604)( 43,512)( 44,147)( 45,370)
( 46,378)( 47,302)( 48,659)( 49,445)( 50,340)( 51,397)( 52,639)
( 53,415)( 54,653)( 56,437)( 57,436)( 58,279)( 59,390)( 60,247)
( 61,475)( 62,635)( 63,467)( 64,439)( 65,558)( 66,372)( 67,317)
( 68,426)( 70,618)( 71,591)( 72,316)( 73,533)( 74,111)( 75,442)
( 76,473)( 77,485)( 78,145)( 79,164)( 80,221)( 81,285)( 82,189)
( 83,582)( 84,195)( 85,362)( 87,161)( 89,383)( 90,389)( 92,230)
( 93,208)( 94,530)( 95,245)( 96,457)( 97,277)( 98,420)(100,529)
(101,388)(102,123)(103,203)(104,105)(106,476)(109,281)(110,238)
(112,272)(113,166)(114,449)(115,518)(116,573)(117,296)(118,321)
(119,242)(120,377)(122,408)(124,465)(125,332)(127,615)(128,353)
(129,194)(130,392)(131,338)(132,552)(133,179)(134,219)(135,463)
(136,201)(137,507)(140,180)(141,488)(142,149)(143,508)(144,251)
(148,414)(150,566)(151,598)(152,360)(153,334)(154,395)(155,396)
(156,561)(157,632)(158,228)(159,416)(160,557)(162,644)(163,170)
(165,351)(167,186)(168,563)(171,205)(172,191)(173,668)(174,444)
(175,309)(176,356)(177,399)(178,491)(181,500)(182,310)(184,294)
(185,572)(187,311)(188,347)(190,513)(196,264)(197,586)(198,657)
(199,419)(200,669)(202,330)(206,364)(207,313)(209,602)(210,596)
(212,385)(213,636)(215,537)(216,546)(217,231)(218,363)(220,556)
(222,502)(223,344)(224,670)(225,499)(226,400)(227,460)(229,291)
(232,456)(233,652)(235,371)(236,535)(237,554)(239,335)(240,306)
(241,331)(243,280)(246,619)(248,450)(249,671)(250,525)(252,324)
(253,642)(254,270)(255,614)(256,658)(257,367)(258,527)(259,574)
(260,337)(261,584)(262,664)(263,649)(265,517)(266,303)(268,641)
(269,515)(271,430)(273,301)(275,656)(276,503)(278,487)(282,286)
(283,534)(284,483)(287,545)(288,616)(289,606)(292,454)(293,307)
(295,406)(297,327)(298,550)(299,305)(300,531)(304,489)(308,578)
(312,376)(314,486)(318,462)(319,478)(320,532)(322,403)(323,640)
(325,494)(326,471)(328,553)(329,464)(333,438)(336,543)(339,477)
(341,404)(342,422)(343,490)(345,466)(346,521)(348,622)(349,581)
(350,480)(352,613)(354,623)(355,645)(357,447)(358,625)(359,660)
(361,516)(365,551)(366,469)(369,418)(374,575)(375,387)(379,412)
(380,540)(382,484)(384,519)(386,624)(391,496)(393,522)(394,661)
(398,571)(401,425)(405,654)(407,592)(409,651)(410,542)(411,481)
(413,646)(417,587)(421,626)(423,655)(424,666)(427,441)(428,453)
(429,637)(431,434)(432,440)(433,565)(435,498)(443,459)(446,621)
(448,549)(451,536)(452,590)(458,548)(461,560)(468,544)(472,504)
(474,555)(479,526)(482,608)(492,580)(495,520)(497,538)(501,528)
(506,579)(509,514)(510,627)(511,647)(523,600)(524,567)(539,577)
(541,663)(547,638)(559,564)(562,617)(569,662)(570,611)(576,594)
(585,595)(588,607)(599,620)(601,603)(609,610)(628,648)(634,643) ] ],
[3, Factorial(671)/2,1,"2",[[670,1]],669, "Alt(671)", ["A",671, 1], "Alt"],
[4, Factorial(671),0,"2",[[670, 1]],671, "Sym(671)", ["A",671, 1], "Sym"]];
PRIMGRP[672]:=
[[ 1, 9196830720, 1, "2", [ [ 176, 1 ], [ 495, 1 ] ], 1, "PSU(6, 2)",
[ "2A", [ 5, 2 ], 1 ],
[ ( 1,656,491,138,101, 29,183)( 2,162,244,110,630,176, 28)
( 3,473,423,152,406,293,253)( 4,657, 77,100,444,209,118)
( 5,334,508,145,288,601,206)( 6,308,300,108,107, 40, 89)
( 7,172, 59,134,567,477,229)( 8,504,667,123,384,221,131)
( 9,659,435,164,531,230,650)( 10,478,328,460,422,365,433)
( 11,165, 58,268,120,194,610)( 12,651,589,486,547, 22,482)
( 13,502,536,192,605,166,602)( 14,174,186,436,296,457,506)
( 15,305,501,242,368, 57,561)( 16,330,129,512, 99,549,458)
( 17, 34, 62,505,392,575,495)( 18,326,537,565,124,586,629)
( 19, 31,487,461,614,114,416)( 20,647,349,609,344,287,669)
( 21,109,522,437,105,358,455)( 23, 73,411,483,452,442,535)
( 24,178,271,607,523,142,590)( 25,642,447,603,654,321,158)
( 26,157,106,266,336,126,263)( 27,323,449,563,312,637, 80)
( 30,156,632,189,499,438,223)( 32,154,370,167,670,306,215)
( 33, 97,385,280,115,571,325)( 35,625, 41,198,418,273,539)
( 36,295,116,470,197,130,612)( 37,401,581,361,533,421,274)
( 38,582,469,474,169,588,291)( 39, 79,146,195,322,446,304)
( 42,516,564,514,267,394,652)( 43,591,319,282,121,619,234)
( 44,424,472,431,161,141,379)( 45,256,490,645,559,498,503)
( 46,546,338,517,261,137,147)( 47,340,617,390,111,208,286)
( 48,441,241,278,450,545,272)( 49,140,343,425,203,239,219)
( 50,103,248,570,104,434,404)( 51,636,245,363,396, 70,622)
( 52,302,621,620,310,529, 60)( 53,430, 69,199,125,347,102)
( 54,593, 98,600,527, 55,462)( 56,360, 71,466,235,412,127)
( 61,191,671,285,640,666,597)( 63,604,578,275,354,560, 78)
( 64,439,313,644,342,196,510)( 65,260,643,456,346,232,320)
( 66,554,532,327,348,417,471)( 67,587,405,402,626,661, 90)
( 68,226,290,553,243,279,251)( 72,364,500,301,599,317,520)
( 74,375,220,579,277,270,179)( 75,627,227,369,410,204,518)
( 76,201,476,658,211,541,356)( 81,459,171,660,181,556, 87)
( 82,353,544,259,595,488,255)( 83,608,149,350,664,672,426)
( 84,246,151,222,414,526,398)( 85,190,395,415,314,596,202)
( 86,615,252,173,382,408,132)( 88, 96,212,558,213,448,635)
( 91,249, 95,634,177,453,117)( 92,543,113,217,128,144,231)
( 93,428,371,376,316,389,465)( 94,387,276,264,284,400,318)
(112,289,551,160,362,143,419)(119,283,497,122,519,345,148)
(133,355,357,341,388,468,624)(135,299,311,665,618,479,377)
(136,216,464,378,485,562,238)(139,540,555,332,616,159,574)
(150,557,399,528,668,475,592)(153,583,576,381,292,566,386)
(155,524,333,228,207,427,484)(163,331,585,584,572,225,407)
(168,639,638,393,628,507,236)(170,611,538,550,254,662,534)
(175,496,432,403,655,187,329)(180,337,240,315,480,494,307)
(182,568,200,380,649,420,366)(184,552,351,188,247,573,185)
(193,663,606,409,372,481,262)(205,648,250,324,269,297,237)
(210,265,530,613,445,440,525)(214,258,309,335,489,623,281)
(218,374,653,509,594,413,224)(233,631,383,521,303,641,257)
(294,352,492,391,569,511,429)(298,513,339,598,580,367,633)
(359,463,493,515,548,454,451)(373,577,467,646,542,443,397),
( 1,212,271,604,525,210,459,651,249,473,138)( 2,155,539,129, 78,293,
646,242,594,524,514)( 3,329,262, 50, 5,471,250,545,417,603, 21)
( 4, 86, 71,379,398,171,621,410,657,553,369)( 6, 30,359,511,215,564,
63,380,563,247,665)( 7,606, 33,623,447,334,352,633,123,294, 89)
( 8, 41,454,278,570,430,597, 73, 45,310,266)( 9,642,319,423,436,337,
113,428,502,543,273)( 10,605,201,128,192,219,142,177,284,593,282)
( 11,255,412, 16,472,222,446,389,344,529,505)( 12,330, 62,243,555,478,
248,349,216,484,183)( 13,507,626,366,534,616,261,236,228,320,658)
( 14,211,165,288,136,609,332, 24,508,304,565)( 15,374, 84,191, 57,475,
358,110, 26,238,378)( 17,106,437,371,455,147,276,103,591,190,308)
( 18,373,498, 46,537,470,402,279,280,174,195)( 19,124,638,134,426,135,
154,486,667,367,203)( 20,256,143,596,207,335, 98,145,406,382,460)
( 22,641,607,631,381,602,292,480,317,467,579)( 23,117,121,535,510,160,
361,298, 64,660,452)( 25,360,615,235, 42,425,558,343,289,375,431)
( 27,628,326,122,517,290,552,125,205,184,301)( 28,627,102,407,126, 32,
490,662,350,200,104)( 29,489,419,462,464,567,561,167,527,620,546)
( 31,237,140,296,403,176, 37,536,153,457,164)( 34,206,259,598,532,189,
442,666,277,492, 81)( 35,193,274,585,512,208,456,663,264,501,120)
( 36,295,339,196,587,509,283,451,493,469,340)( 39,226,568,483,233,368,
197,496,169,156,309)( 40,327,251, 58, 55,444,263,559,415,586,151)
( 43,393,573,234,664, 61, 93,342,526,198,574)( 44, 65,258,671,494, 68,
540,588,611, 91,133)( 47,223,549,495,229,353,187,477,166,115,328)
( 48,144,347,531,188,541, 54,392,542,230,652)( 49,439,548,363,286,390,
414,130,341,635,246)( 51,139,158,391,370,181,625,424,653,551,384)
( 52,362, 76,179,634,487,497,253,448, 69,458)( 53,257,351,281,333,149,
315,173,214,650,401)( 56,408,571,346,303,395,420, 99,348,618,218)
( 59,180,116, 96,148,659, 97,316,231,161,629)( 60,127,111,394,383,168,
640,433,644,566,397)( 66,670,324,409,421,356,152,438,474,562,272)
( 67, 88,427,386,441, 92,269, 94,577,209,318)( 70,440, 79,114,503,647,
354,186,141, 83,610)( 72,275,422,146,443,239,465,376,345,516,520)
( 74,405,491,576,260,131,655,305,434,411,365)( 75,595,199,418,314,572,
668, 95,225,482,599)( 77,637,313, 82,521,285,554, 80,194,170,291)
( 85,624,583,630,175,202,388,220,404,232,267)( 87,504,413,468,445,556,
544,172,530,613,560)( 90,453,227,463,396,364,528,533,109,270,435)
(100,178,523,299,268,399,322,584,300,241,132)(101,476,108,538,321,311,
488,387,254,312,400)(105,485,432,449,466,550,575,182,515,632,569)
(107,224,479,601,118,578,204,429,331,557,648)(112,656,580,619,372,600,
302,481,336,450,589)(119,522,639,355,506,617,252,217,221,306,654)
(137,518,622,338,519,636,265,245,240,323,643)(150,244,499,582,159,592,
185,416,325,547,661)(157,669,590,614,385,581,287,500,307,461,608)
(162,297,163,513,213,357,612,672,377,649,645) ] ],
[ 2, 18393661440, 0, "2", [ [ 176, 1 ], [ 495, 1 ] ], 1, "PSigmaU(6, 2)",
[ "2A", [ 5, 2 ], 1 ],
[ ( 1, 37,529,277,280,370,379,659,644, 26)( 2,259,385,531, 66,369, 67,395,
254,535)( 3,163,622,404,287,617, 62,344,431,629)( 4, 60,558,545,
64,457,162,540,503,161)( 5,176,291,627,480,458,305, 92,361,497)
( 6,248, 24,234,138,147,428,495,586, 23)( 7,178,118,136,599, 95,358,
433,199,231)( 8,205,501, 96,112,618,543,135,292,593)
( 9,250, 25,276,645,279,100,652,522,668)( 10,253,376,534,520,526,519,
388,513,265)( 11,186,450,410,365,246,554,351,227, 93)
( 12,220,119,539,311,592,157,570,574,454)( 13, 45,332,625,197,211,172,
144,333,204)( 14,191,479,236,575)( 15,217,598, 84,429, 47,411,418,
551,424)( 16, 57,552, 29,240,340,632, 86,310, 73)( 17,261,271,274,
514,525,256,643,262,528)( 18,273,398,536,642,651,268,372, 69, 98)
( 19,243,167,407,306,339,600,367,577,184)( 20,193,484,550,362,309,478,
563, 77,621)( 21,207, 51,630,572,591,487,108,299,124)
( 22, 63,561,239,194, 76,106,504, 71,490)( 27, 39,142,413, 40,496,612,
360,156,446)( 28,181,196,544,281,212,326,553,215,141)
( 30,165,213,237,477, 58,347,488,409,187)( 31,198,403,127,154)
( 32,169,201,103,597,245, 52,120,346,406)( 33,374,648,397,264,389,384,
523,378,521)( 34,667,510,400,101,380,657,275, 38,641)
( 35,654,527,530,377,390,512,508,653,391)( 36, 99, 65,666,533,399,505,
260,524,507)( 41,499,286,542,442,611,208,639,185,301)
( 42,288,605,493,221,143,619,232,548,579)( 43,585,228,415,634,445,222,
426,151,349)( 44,473,206,160,568, 90,546,555,414,557)
( 46,624,329,491,149,638,308,453,486,331)( 48, 82, 85,128,356,456,549,
190,571,615)( 49,137,578,314,547,637,502,419,623,483)
( 50,440,474,354,609,171,430,562,463,285)( 53,417, 61,452,126,455,608,
631,302,569)( 54,633,241,104,293,170,355,224,322,441)
( 55, 75,304,588,405,164,604,462,420,607)( 56,469,596, 72, 87,468,353,
589,603,289)( 59,366,444,317,230,467, 89,352,465,235)
( 68,509,255,669,655,661,263,267,257,658)( 70,382,392,665,258,662,375,
371,518,663)( 74,583,223,492,438)( 78,335,296,489,180,475,174,461,
188,338)( 79,140,590,538,115)( 80,408,500, 83,323,189,587,214,122,466
)( 81,435,439,318,139,476,109,402,447,200)( 88,158,155,116,628,320,
416,582,434,343)( 91,556,145,316,114,319,216,359,183,436)
( 94,573,218,626,337,290,567,427,327,168)( 97,515,266,396,131,506,134,
532,373,672)(102,132,394,670,671,249,516,387,251,129)
(105,282,350,537,166,345,146,616,566,357)(107,150,423,412,148,321,283,
401,247,284)(110,125,341,494,451,225,482,470,564,294)
(111,330,152,541,244,159,459,581,195,606)(113,613,238,315,481,226,334,
425,175,121)(117,307,298,449,209,594,636,640,363,192)
(123,443,179,313,601,202,364,368,635,584)(130,517,664,393,649,269,647,
252,381,272)(133,646,511,278,383,270,656,660,650,386)
(153,471,173,233,297,219,295,325,580,610)(177,182,342,324,422,348,336,
464,448,437)(203,242,421,210,565)(300,303,614,460,559,620,472,328,
312,576)(432,595,498,560,602), ( 1, 12, 5,149,169,179)( 2,523)
( 3, 40,213,387,165,305)( 4,394,229,195,161,461)( 6,262,243,297,
177,428)( 7,120,263,452,181,654)( 8,647,239,155,173, 48)
( 9,524,404,324,184, 87)( 10, 75,522, 95,174,484)( 11,393,151,423,
34,600)( 13,261,578,275,166,271)( 14, 91,570,467,164,478)
( 15,648,370, 81,171,294)( 16, 80,313,379, 36,498)( 17,215,456,515,
167,635)( 18,617,512,307,162, 49)( 19,316,303,115,172,100)
( 20,360,309,251, 33,447)( 21,598,137,212,182,349)( 22,501,142,119,
175,519)( 23,441,659,291, 38,218)( 24,220,542,405,180,440)
( 25,618,492,543, 35,396)( 26,216,516,557,178,408)( 27,359,637,580,
183,198)( 28,315,566, 61,176,449)( 29,502,352, 45,170,537)
( 30,597,335,667, 37, 52)( 31,219,134,643,168,135)( 32,442,148,595,
163,533)( 39,209,327,481,152,150)( 41,521,365,631,669,193)
( 42,622,331,411,159,572)( 43,158,317)( 44,619,285,376,488,270)
( 46,221,579,545,653,536)( 47,257,613,529,325,584)( 50,446,651,563,
153,358)( 51,418,657,326,160,121)( 53,574,601,226,663,513)
( 54,399,639,518,329,361)( 55,571,505,382,655,640)( 56,500,413)
( 57,397,475,287,156,264)( 58, 78,445,345,321,328)( 59,130,497,186,
154,641)( 60,593,471,608,311,233)( 62, 63,421,425,496,486)
( 64,642,493, 72,157, 67)( 65,644,560)( 66,105,624,605,474,491)
( 68,260,552,671,666,147)( 69,395,564,378,662,244)( 70, 79,596,282,
334,652)( 71,528, 94,357,480,373)( 73,114, 77,101,320,312)
( 74,525, 88,594,490,279)( 82,222,385,509,476,554)( 83,573,375,514,
494,247)( 84,504,341, 89,318,463)( 85,420,367,238,332,429)
( 86,355,298,538,658,278)( 90,444,431,630,650,589)( 92,499,435,110,
646,124)( 93,422,407,296,672,344)( 96,223,453,583,482,586)
( 97,217,322,609,112,356)( 98,259,292,437,306,508)( 99,353,384,343,
670,347)(102,448,338,664,487,127)(103,620,555,616,310,626)
(104,526,656,265,109,417)(106,113,575,118,314,111)(107,211,547,197,
336,207)(108,210,610,585,660,550)(116,258,125,569,495,454)
(117,129,122,224,485,479)(123,424,438,272,308,281)(126,398,458,591,
668,402)(128,443,410,390,330,191)(131,319,268)(132,599,234,466,489,
612)(133,354,228,414,483,300)(136,621,249,189,473,511)
(138,214,241,383,665,366)(139,623,237,250,661,577)(140,527,204,430,
333,346)(141,576,236,556,323,548)(143,503,205)(144,400,266,230,649,
381)(145,419,187,568,477,632)(146,645,256)(185,380,401,274,470,625)
(188,304,581,388,558,539)(190,532,549,339,436,377)(192,633,611,299,
295,202)(194,507,561,588,432,253)(196,283,629)(199,607,267,562,231,
206)(200,371,289,427,506,590)(201,362,465,472,372,551)
(203,409,245,530,277,255)(208,337,363,286,602,592)(225,364,553,273,
510,457)(227,433,587,412,582,242)(232,342,351,517,627,434)(235,288)
(240,374,391)(246,460,301)(248,269,535,451,546,350)(252,403,615,638,
386,469)(254,348,541,426,468,284)(276,559,293,340,416,450)
(280,603,565,462,464,634)(290,406,540,368,606,531)(302,389,628,415,
520,604)(369,614,459,567,534,392)(439,636,544) ] ],
[ 3, 27590492160, 0, "2", [ [ 176, 1 ], [ 495, 1 ] ], 1, "PGU(6, 2)",
[ "2A", [ 5, 2 ], 1 ],
[ ( 1,327,110,520,123, 12,498,171,426,555,112,150,236, 78,557, 68, 66,279,
391,355,320, 79,147,564, 46,225, 44,127,300,462,662,228, 45)
( 2,539,617,546,568,216,655,135,390,288,633,149,220,453,506,323,433,
197, 3,627,259,178,148,509,384,307,240,670,424,157,464,585,469)
( 4,158,654,488,631,204,406, 94,109,322,643,130,136,417,283,460,431,
648,104, 80,524,415,159, 6,347,588,386,657,189, 30, 47,237,342)
( 5,121,350,354, 69,289,138,484,152,599,230)( 7,427,449,581, 31,639,
541,668,387,612,377,129,661,168,255, 65,182,310,210,458,447,451,160,
208,379,474,128,467,217,437,175,373,164)( 8,471, 56,211,595, 37,361,
102,429,396,565)( 9,332, 76,410,510,516,547,344,174,535,203, 86,529,
59,642,311,229,224,641,629,242,360,115,248,100,187,538,313,505,411,
388,334,432)( 10,103,301,636,653,284,368,603,528,597,188,117, 19,274,
472,199,257,212,503,233,490,343, 52, 93,604,397,420,587,665,302,326,
292,409)( 11,413,337,266,476,287, 85,576,356,421,441,125,186,405,495,
583,586,116,246,428,345,371, 39,341,190,596,253,486, 18,531,207,656,
614)( 13,618,459,331,448,153,381,456,122,473,333)( 14,285,402,319,
619,519,403,423,353,671,466, 62,485,646,556,455,317,340,198,206,362,
395, 72,260,191,517,382,560,645,346,664,214,638)( 15,140,277,624,401,
621,502,272,521,461, 17, 33,155,500,163,192,380,602,290,324,626, 54,
96,132,608,452,339,165,275,489,567,172, 83)( 16,580,134,254,592,620,
651,372,169,609,325)( 20,647,480,445,644,525,650,570,143,534,264, 34,
407,579,375,185,328,351,335,141,336,481, 95,338,249,610,414,563,195,
243,144,569,589)( 21,263,256,374,196,205,540,418, 89,282,548)
( 22,378,399,298,549,297,364,450,491,419,487,126,161,180,605,306,280,
669,622,600,200,258, 40,623,634,497,221,606,436,167,270,348,281)
( 23,251,359,562,231, 35,124,369,271,393,667, 97,478,658,235,315,107,
67,616,598,184,440, 64,577,430,526,514, 92, 43,443,291,640,366)
( 24, 70, 81,234,578,615,105,265,293,463, 87)( 25,305, 36,457,357,304,
27, 84,566,222,296,118,550,108,630,202,504, 61, 26,239,507,593, 51,
508, 91,176,660,273, 71, 53,522,551,494)( 28,170,329,532, 60,295,365,
312, 48,223,394, 98,625,245,330, 99,267,438,219,111,545,468, 63,392,
574,573, 75,594,209,537, 77,308,181)( 29,422,571,286,321,527,499, 57,
55,276,145)( 32,201,106,166, 38,637,412,672,561,162,238)
( 41,439,213,408,303,416,465,183,628,261,194)( 42,154, 74,649,113,544,
389,590,492,119,632)( 49,536,247,659,250,425,151,404,120,101,376)
( 50, 88,442,435, 58,179,475, 90,663,173,133)( 73,137,611,513,501,278,
316,582,358,496,299)( 82,232,269,454,666,146,554,558,523,635,383)
(114,515,367,479,575,446,398,314,385,370,252)(131,434,227,193,244,591,
318,470,268,309,218,139,215,518,652,533,262,226,177,294,542,511,156,
363,553,349,572,483,559,400,493,512,543)(241,444,607,352,613,552,584,
482,601,477,530), ( 1,356,482,639)( 2,340,245, 97,133,476,502, 68,
132,219,637, 37)( 3,279, 94,587,541,265,434,144,593,251,192,288)
( 4,263,650,112,300,377,516,285,306,652,264,196)( 5,548,271,641,561,
461,505,396,607,117,395,528)( 6,567,463,127,403,213)
( 7,449,606,565,573,111, 63,469,579,560,566,159)( 8,466, 86,105,174,
84,416,408,212,291,323,201)( 9,610,360,621, 34,337,631,350, 70,218,
496,229)( 10,633,359,483, 65,241,240,228,101,498,632,347)
( 11,296, 64,550,542,467,169,596,458,135,209, 60)( 12,286,398,525,299,
315,661,254,185, 48,253,669)( 13,211,397,602,564, 71,390,128,216,294,
373,172)( 14,187,313,401,402,108,122,207,328,440,421, 30)
( 15,517,314,659,575,261,143,511,307,654,557,274)( 16,526, 52,471,176,
509,290, 40,468,533,329,426)( 17,246,612, 35, 38,365,220, 66, 67,501,
475, 25)( 18,237,481,223,100,629,345,615, 33,358,618,344)
( 19,583,151, 39,543,158,284,293,321,435,198,332)( 20,592,272,204,298,
57,250,150,578,554,275,415)( 21,385,507, 53,562,252,672,547,472,536,
386,598)( 22,394,605,273,404,660,115,388,600,256,430,647)
( 23,424,188, 58,576,450)( 24,405,146,162,175,594,569,453,603, 73,312,
141)( 26,129,611,366)( 27,149,124,670,544,545,551,270,202,326,203,374
)( 28, 87,508,295,297,281,399,604,441,589,266,103)( 29, 82,649,555,
563,570,259,199,335,191,384,121)( 31, 47,464,599,574,559, 74, 42,444,
586,539,540)( 32, 43,109,372,173,179,163,535,331,186,318,658)
( 36,362,495,620)( 41,155, 54,278,406,411,413,662,457,597,460,510)
( 44,558,443, 79,438,193)( 45,571,553,446,164,584,455, 81,197, 50,153,
303)( 46, 72, 62,257,417,425,436,651,456,608,448,520)
( 49,556,118,289,302,320,414,210,309, 89,595,116)( 51,537,470,138,429,
208)( 55,462,183,519,283, 59,445,514,317,412, 93,515)
( 56,160,391,182,165,170,506,310,195,330,668,157)( 61,454,126,142,181,
119,433,419,189,282,311,200)( 69,494,226,480)( 75,319,664,459,180,
78,642,156,305,420,667,549)( 76,381,585,267,437,653,154,375,580,262,
423,666)( 77,205,301,383,161, 85,190,378,590,546,113,379)
( 80,148,527,304,287,292,370,581,452,601,276,145)( 83,214,308,422,432,
147,140,194,333,431,439, 90)( 88,178,513,380,167,577,260,656,451,139,
655,258)( 91,531,392,136,410,663,249,427,206,369,532,336)
( 92,171,184,591,552,465,582,110,324, 96,125,418)( 95,524,327,648,568,
255,106,530,334,665,538,268)( 98,638,339,102)( 99,473,239,486)
(104,521,371,123,428,644,280,409,215,400,522,325)(107,168,534,389,177,
588,269,646,442,120,645,277)(114,316,407,657,572,152,322,643,447,166,
137,671)(130,235,225,247,131,492,617,368,134,627,346,504)
(217,224,634,367)(221,490,623,341,478,233,231,477,613,354,488,222)
(227,630,349,236,484,493,622,355,619,357,485,491)(230,628,348,238)
(232,244,500,626,351,499,243,234,487,636,364,489)(242,503,474,616,361,
640,338,479,497,248,609,343)(342,625,352,614)(353,624,363,635)
(376,529,387,512,393,523)(382,518) ] ],
[ 4, 55180984320, 0, "2", [ [ 176, 1 ], [ 495, 1 ] ], 1, "PGammaU(6, 2)",
[ "2A", [ 5, 2 ], 1 ],
[ ( 1,194,377,243,572,128)( 2,340,309,130,335,233)( 3,589,635,349, 42,231
)( 4,221,642,348,261, 86)( 5,451, 19,473,591,458)( 6,480,111,241,
428,285)( 7,320,462, 18,661,300)( 8,609,475,478,136,468)
( 9,437,303,420,539, 37)( 10,435,353,141,327,663)( 11,298,564,252,
57,649)( 12,573,588,463,278, 38)( 13,184, 97,334,583,659)
( 14,304, 24,392,419,651)( 15,571,421,124,646,672)( 16,178,533,174,
126,666)( 17,341,359,390,562,140)( 20,524,565,569,269,127)
( 21,616, 83,172,608,294)( 22,265,131,581,434,229)( 23,220,536, 90,
653,242)( 25,660,308,584,553, 85)( 26,200,383,137,312,290)
( 27,272,645,576, 50,281)( 28,314,640,253,254,139)( 29,385,152,656,
600,237)( 30,587, 91,423,401,449)( 31,525,474, 61,670,470)
( 32,453,464,330, 78,248)( 33,234,628,165,138,530)( 34,510,189,157,
347,407)( 35,292,492,372, 72,631)( 36,486,257,538,627, 95)
( 39,630,394,471,436, 70)( 40,370, 47,520,499,185)( 41,561,317, 92,
215,557)( 43,100,295,188,277,612)( 44, 81,288,548,397,389)
( 45,244,606,122,404,170)( 46,547,143,541,455,638)( 48,321,274,373,
491,108)( 49,601,657,592,381,117)( 51,399,620,515, 74,307)
( 52,442,506,427,191,101)( 53,112,550,162,599,483)( 54,135,168,323,
339,417)( 55,365,521,270,311, 75)( 56,405,611,585,106,566)
( 58,207,197,105,227,362)( 59,214,484,551,104,161)( 60,418,598, 77,
540,617)( 62,187, 79,326,509,523)( 63, 87,414,467,556,328)
( 64,148,175,429,219,216)( 65,511,570,305,121,368)( 66,235,180,154,
364,256)( 67,279,447,440,110,324)( 68,578,239,456,636,134)
( 69, 80,516,203,433,476)( 71,371,282,262,403,107)( 73,534,376,125,
192,481)( 76,116,395,452,382,208)( 82,604,129,559,654,502)
( 84,622,504,607,199,149)( 88,361,669,396,146,495)( 89,204,120,206,
555,415)( 93,425,527,109,517,543)( 94,351,155,647,526,357)
( 96,145,251,603,236,398)( 98,554,263,156,355,610)( 99,482,518,594,
158,430)(102,119,652,412,448,336)(103,465,344,563,426,159)
(113,494,623,402,374,133)(114,250,115,445,662,210)(118,132,275,183,
356,619)(123,354,472,276,142,513)(144,245,224,228,500,160)
(147,618,537,614,153,411)(150,151,201,487,363,319)(163,655,552,443,
338,532)(164,549,386,531,444,238)(166,258,597,439,212,280)(167,410)
(169,575,641,218,306,273)(171,671,454,384,406,626)(173,315,461,342,
232,544)(176,249,287,650,202,240)(177,297,590,633,528,535)
(179,209,505,318,379,545)(181,477,266,230,514,413)(182,225,416,393,
400,629)(186,579,198,457,658,648)(190,293,522,422,259,247)
(193,459,296,284,322,331)(195,634,286,596,558,593)(196,637,665,388,
360,441)(205,582,333,664,226,264)(211,438,529,613,301,268)(213,337)
(217,424,325,291,346,497)(222,568,605,329,332,289)(223,358,369,602,
580,507)(246,496,469,508,352,519)(255,490,446,560,542,375)
(260,503,574,567,667,624)(267,302,310,485,409,391)(271,586,378,498,
493,615)(283,408,621,367,345,366)(299,644,432,489,387,479)(313,639)
(316,380,595,577,343,643)(350,546,466,488,501,431)(450,460,512,668,
632,625), ( 1,102,621,326,519, 28, 2,276,642,668,155,469,305, 15)
( 3,264,671,540, 33,228,372,559,604,370,200,589, 78,113)
( 4,391, 46,427,198,227,356,165,544,373, 72,190,661, 50)
( 5,524, 41,248,530,658,390,339,632, 18,528,325,414, 62)
( 6,518,615,189,613,139, 7,397,564,516,507,470,394,157)
( 8,100,546,352,304,657,303,609,576,665,201,590, 69,108)
( 9,669,458,448,565,640,571,449,464,132,121,127,118,192)
( 10, 97,116,104,122,474,246, 77,234,651,607, 45,602,306)
( 11,659,336,393,141,117,494,445, 12,381,245, 93,359,579)
( 13,655,197,170,237,207,187,471,338,531,466, 55,554,446)
( 14,272,392, 37,172,253,595,236, 19, 99,504, 83,106,580)
( 16,532,418,143,594,144,403,292,508,510,279,145,285,191)
( 17,520, 29, 98,220,254,543,357, 24,262, 26,653,483,358)
( 20,395,209,361,404,396,250,502,522,379, 27,534,151,490)
( 21,278,266, 43,319, 88,498,563,500,249,412,389,298,489)
( 22,101,455,204,472,314,670,402,308,645,454,654,443,235)
( 23,387,283,153,570,473,205,154,186,275,556,533,147,631)
( 25,268,371,603,329,313,567,551,300,505, 96,222,672,650)
( 30,667,149,216,378,639,610,592,536,274,426,221,624,380)
( 31,383,405,287,232, 40,476,156,176, 65,598,622,382,261)
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133,534, 10,473,344,435,373,625,159,533, 62,483,552,433,581,650,601,
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244,503,458,551,651,479,143,285,618,361, 59,336,298,424,590, 14,175,
107,229,260,633,448,395,672,193,132,103,602, 49, 62,518,302,554,573,
482,169,263,228,364,631,318,402,438,200)( 3,227,130,645,240,399,464,
187,652, 89,134, 51,608,517, 68,570,287,476,585,274,176,341,215,338,
636,422,408, 22,201,106, 99,238, 35,452,499,666,557,131,493,611,283,
72,362,293,320,584,430,174)( 4, 45,114,515,250,555,443,473,663,271,
150,363,605,335, 64,440,304, 8,591,118,177,237,217,468,629,656,401,
152,207,600,101, 56, 50,296,502,588,560,157,471,221,286,644,344,397,
334,194,418, 96)( 5,669,115,151,259,607,465, 57,674,297,138,597,612,
179, 55,232,312,632,578,404,178,185,210,104,628, 32,400,516,198,548,
79,472, 39,270,514,354,553,313,480,429,278, 20,357,111,333,246,425,
460)( 6,409,126,203,236, 87,446, 31,660,505,146,571,599,491, 65,284,
306,346,579,326,168,419,226, 26,643,110,411,256,191,444, 83,654, 37,
140,519,614,569, 53,492,299,268,592,352,163,315,220,442,642)
( 7,331,116,437,252, 9,461,109,671,245,139,467,603,673, 63,154,311,
606,595, 66,180,289,216,598,638,162,393,230,208,626, 84,394, 48,192,
496, 94,550, 27,478,507,276,566,339,475,325,272,436,356)
( 10,513,120,567,235,477,455,265,670,349,137,337,610,439, 70, 24,305,
112,593,248,165,445,213,676,635,136,415,620,205, 54,102,290, 34,582,
508,172,549,209,494,637,266,410,360,189,314, 90,420, 44)
( 11,149,129,619,257, 61,466,291,658,583,144,181,601,231, 78,648,292,
398,594,196,158, 81,212, 52,634,500,406,568,183,470, 91,264, 46,348,
501,328,558,417,486, 13,279,124,359,241,321,454,421,668)
( 12,435,122, 21,253,113,463,239,659,453,135,675,609,153, 77,622,309,
60,596,300,164,575,222,182,627,214,416,646,188,392,100,186, 28, 88,
498, 42,556,495,484,559,261,488,351,267,332,350,423,330)
( 15,383,119,385,249,373,457,369,665,375,145,389,613,387, 67,388,301,
372,587,378,171,367,223,390,639,370,405,386,197,366, 93,368, 41,374,
509,380,561,365,483,377,275,384,353,371,327,376,431,382)
( 16,565,105,489,247,269,462,343,657,323,142,441,616, 23, 71,128,307,
242,581,456,161,653,219,156,649,604,413, 74,206,288, 86,576, 40,166,
497,224,572,625,474,403,282,202,340, 85,316, 38,426,512)
( 17,539,121,541,251,529,459,525,667,531,147,545,615,543, 69,544,303,
528,589,534,173,523,225,546,641,526,407,542,199,522, 95,524, 43,530,
511,536,563,521,485,533,277,540,355,527,329,532,433,538)
( 18, 19,123,125,255,243,451,447,655,661,141,155,623,621, 75, 76,310,
294,580,586,170,159,211,234,650,630,396,412,204,184, 80, 82, 30, 36,
504,510,562,547,469,481,273,280,358,345,319,324,428,434)(381,535),
( 1,519,614,569, 62,345,325,278)( 2,103,609,153, 60,579,327,382, 20,
493,617,127, 74,189,314, 96, 11,155,606,595, 67,371,332,486, 19,129,
620,205, 54, 85,323,148, 8,597,613,387, 72,475,331,122, 22,207,600,
101, 63,137,320,590, 15,389,618,491, 71,111,334,200)( 3,233,607,465,
56, 33,333,252, 14,181,601,231, 61,449,316, 44, 21,259,612,179, 55,
215,321,460, 4, 51,619,257, 66,163,315,226, 9,467,602, 49, 73,241,
326,174)( 5,675,615,543, 57,657,329,538)( 6,415,604,413, 58,397,
318,408)( 7,337,616, 23, 77,605,335, 70)( 10,363,611,283, 53,501,
328,564)( 12,441,622,309, 78,631,324,434, 24,311,624,647, 64,423,336,
304, 26,649,610,439, 76,293,338,642)( 13,285,599,517, 68,553,322,356)
( 16,571,608,361, 65,267,313,512)( 17,545,603,673, 69,527,317,668)
( 18, 25,623,621, 75, 59,319,330)( 27,515,250,560,166,341,221,269,443,
498, 42,567,244,352,169,263,209,503,458,550, 36,359,247,274,157,497,
224,555,452,342, 39,281,235,508,172,549,218,347,455,264)
( 28, 99,245,144,164,575,223,373,462,472, 45,125,256,196,158, 81,219,
139,450,576, 41,385,254,482,175,107,230,191,444, 82, 37,151,242,586,
171,367,228,477,461,108, 48,203,236, 92,167,133,216,581,457,368, 46,
489,253,118,178,185,210, 87,453,134, 34,593,249,378,176,471,227,113,
464,186)( 29,229,243,456,160)( 30, 47,255,248,170,159,211,217,451,446
)( 31,671,251,534,161,653,225,529,447,654, 43,541,239,664,173,523,
213,659,459,524)( 32,411,240,404,162,393,214,399,448,394)
( 35,463,238, 40,177,237,222,165,445,212)( 38,437,258,300,182,627,220,
425,466,290, 52,645,246,430,180,289,234,633,454,420, 50,307,260,638,
168,419,232,295,468,628)( 79,505,146,554,582,353,377,280,469,513,120,
568,192,340, 91,271,131,502,588,561,374,358,481,279,105,516,198,548,
88,349,143,268,573,509,380,566,478,357,117,282,183,496, 94,557,140,
346,585,275,365,514,484,565,114,360,195,262)( 80, 89,141,138,580,587,
379,384,488,487,123,126,204,184)( 83,661,147,528,577,665,381,540,473,
669,121,542,187,652, 95,531,135,658,589,535,369,670,485,539,109,672,
199,522)( 84,401,136,398,578,405,370,410,474,409,110,412,188,392)
( 86,583,145,372,592,483,383,124,490,201,106,100,193,132)
( 90,427,154,294,598,639,376,436,492,305,130,646,194,418,102,297,156,
632,584,431,388,306,494,643,116,438,206,288,104,635,142,424,596,301,
390,644,480,435,128,308,208,626)( 93,375,150,476,591,119,386,202,470,
97,115,152,190,574)( 98,479,149,112,594,197,366)(261,495,510,562,556,
348,351,273)(265,651,511,536,551,660,355,533)(266,391,500,406,552,
400,344,403)(270,339,507,276,547,504,354,559)(272,417,518,302,572,
634,350,429,284,287,520,640,558,426,362,299,286,625,506,432,570,296,
364,637)(277,521,499,666,563,530,343,663)(291,676,641,532,421,674,
303,546,629,662,433,544)(292,416,630,402,422,414)(298,442,648)
(310,312,650,636,428,440)(395,656,407,526)(525,655,667,537) ] ],
[ 4, 325288005235264929014077766819257214042112000000000000, 0, "4c",
[ [ 50, 1 ], [ 625, 1 ] ], 1, "Sym(26) wreath Sym(2)", [ "A", 26, 2 ],
[ ( 1,105,125, 47, 41,379,388, 76, 64,194,185,315,322,218,227,175,162, 84,
94,432,425,659,667,277,271,349,364,572,564,252,256,152,143,533,545,
25)( 2,625,124,619, 31,301,387,518, 66,454,184,627,332,608,213,305,
179,500, 92,458,418,633,670,615,265,297,361,520,560,460,236,646,150,
611,525,311, 23,495,118,463, 28,639,384,622, 57,298,205,497,326,452,
210,643,176,604, 83,302,439,503,664,459,262,635,358,624,551,304,257,
516,144,455,522,649, 20,599,109,307, 49,509,378,466, 54,636,202,601,
317,296,231,513,170,448, 80,640,436,607,655,303,283,505,352,468,548,
642,254,620,135,299,543,519, 14,443,106,645, 46,613,369,310, 75,506,
196,445,314,634,228,617,161,292,101,510,430,451,652,641,280,609,343,
312,569,512,248,464,132,637,540,623, 5,287,127,515, 40,457,366,648,
72,610,187,289,335,504,222,461,158,630, 98,614,421,295,673,511,274,
453,340,650,566,616,239,308,153,507,534,467)( 3,313,114,229, 45,171,
370,102, 68,428,191,653,329,270,219,357,182,552, 96,250,438,139,663,
537,285, 11,339,130,567, 44,249,386,154, 65,532,207)( 4,573,108,593,
30,587,368,596, 56,584,186,575,316,582,212,591,160,578, 82,588,420,
581,654,589,264,583,342,598,550,590,238,594,134,585,524,597)
( 6, 79,120,437, 35,665,381,284, 63,350,208,549,330,244,230,149,169,
526,103, 16,417,113,671, 43,275,375,362, 78,558,200,237,334,140,221,
539,181)( 7,469,112,411, 33,483,372,414, 59,480,190,393,319,478,216,
409,163,474, 86,406,423,477,658,407,267,479,346,416,553,486,242,412,
137,481,528,415)( 8,391,111,489, 34,405,371,492, 60,402,189,471,320,
400,215,487,164,396, 85,484,424,399,657,485,268,401,345,494,554,408,
241,490,138,403,527,493)( 9,651,121,281, 37,353,390,570, 70,246,204,
133,325,530,233, 19,157,110, 99, 42,431,373,674, 69,272,193,341,338,
556,226,253,178,136, 91,536,441)( 10,209,123,177, 32, 93,380,440, 61,
662,199,263,323,348,234,565,174,240,100,146,429,529,675, 17,261,115,
359, 52,561,382,258, 74,142,195,523,337)( 12,183,107,333, 36,223,383,
180, 58, 90,198,419,321,660,225,279,167,344,104,562,434,243,672,147,
273,531,363, 26,547,122,255, 48,145,377,544, 77)( 13,521,129, 21, 27,
119,385, 50, 67,376,206, 55,324,192,211,331,166,214, 97,172,422, 87,
666,433,269,661,355,286,557,356,260,568,148,247,542,155)
( 15,365,128, 73, 38,197,367,336, 62,220,201,159,318, 88,224,435,165,
656, 95,276,427,347,676,563,278,245,360,156,559,538,259, 22,131,117,
541, 51)( 18,235,126,151, 39,535,389, 24, 53,116,203, 29,327,374,232,
71,168,188, 81,328,426,217,669,173,266, 89,354,442,555,668,251,282,
141,351,546,571)(288,647,514,612,447)(290,595,498,586,446,574,628,
592,602,577)(291,309,517,508,456,444,626,644,618,603)
(293,491,502,404,449,470,632,410,605,473,294,413,501,482,450,392,631,
488,606,395)(300,465,496,638,462,600,629,306,621,499)(394,579,472,580
)(397,475,476,398), ( 1,106,542,634,229, 46, 94,485,269,662,200,238,
595,500,613,371,155, 14,418,525,296,232, 72, 91,459,263,324,193,342,
573,110,620,631,151, 40,432,473,295,674, 70,247,465,497,327,375,363)
( 2,522,530,218,228, 98, 95,277,272,194,186,576,578,604,605,137,144,
430,421,291,310, 76, 65,455,445,315,323,349,339,105,126,646,645, 47,
42,484,477,659,668,252,257,517,509,379,389, 25)( 3,314,531,348,209,
124,100,641,281, 38,198,472,581,656,616,241,153,508,431,369,311, 24,
54,533,452,211,332, 89,355,261,116,204,628,593, 32,614,475,139,664,
434,239,309,518, 67,377,467)( 4,574,526,608,215,150, 92,433,265,298,
206, 56,585,448,601,319,141,352,417,109,308,648, 73, 39,458,471,321,
661,356,235,127,516,639,385, 51, 16,470,529,660,226,254,101,511,275,
376,207)( 5,288,544, 62,221,462, 81,329,271,350,183,108,594,630,619,
33,146,482,425,655,304,258, 75,507,457,367,337, 11,340,521,114,230,
644, 99, 43,276,480,191,654,590,240,621,501,145,378,441)
( 6,600,527,140,222,436, 83,303,284, 64,195,446,575,318,609,345,131,
118,438,629,307, 50, 68,481,451,653,330,245,361,495,119,386,649, 21,
28,536,478,217,670, 96,251,283,506,197,368,597)( 7,132,534,426,213,
306,102, 69,273,454,185,316,583,344,599,111,152,638,437, 31,302,492,
61,663,460,237,335,505,353,365,129, 22,626,541, 36,224,488, 87,667,
278,246,205,498,587,370,623)( 8,392,528,400,216,410, 86,407,268,402,
190,394,580,396,606,397,138,404,424,395,294,414, 60,403,450,393,320,
401,346,391,112,412,632,411, 34,406,476,399,658,408,242,413,502,405,
372,415)( 9,652,538,244,231,514, 93,381,285, 12,184,524,582,214,618,
85,147,274,428,187,290,596, 58,611,449,133,326,427,343,287,128, 74,
637,463, 29,328,479,347,651,122,256,647,515, 41,380,493)
( 10,210,540, 88,225,280, 90,199,264,584,188,602,579,136,612,423,135,
300,440, 57,299,466, 55,325,453,341,313,115,360,625,125, 48,640,489,
35,666,486,243,673,512,249,387,519, 15,366,545)( 13,444,523,322,219,
358, 79,121,282,636,203, 30,588,474,607,657,148,248,439,499,301,388,
77)( 17,262,532,192,212,592, 84,615,267,142,196,420,577,292,622, 59,
143,456,419,317,297,362, 53,117,464,627,333, 37,354,469,113,672,642,
255, 49,510,483,373,675, 18,236,543,504,223,384,103)( 19,158,546,556,
227,176,104,563,279,168,208,550,591,162,624,553,149,170,442,551,305,
180, 78,559,461,159,338,557,357,157,130,568,643,177, 52,562,487,165,
676,564,253,179,520,561,383,181, 26,548,539,166,234,566, 97,173,286,
558,201,160,598,552,617,163,156,560,435,161,312,570, 71,169,468,549,
331,167,364,547,123,178,650,567, 45,172,494,555,669,174,260,569,513,
171,390,571)( 20, 80,537,270,220,202, 82,589,266,610,189,134,586,422,
603,293,154, 66,429,447,289,336, 63,351,443,107,334,635,359, 27,120,
490,633,671, 44,250,491,503,665,382,259, 23,496,535,374,233)
(164,416,554,409)(175,182,572,565) ] ],
[ 5, 121680000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PSL(2, 25) wreath Sym(2)", [ "L", [ 2, 25 ], 2 ],
[ ( 1,600,468, 65,563, 99,502,396,163,198,316, 44)( 2,624,455, 69,567, 86,
500,397,172,186,330, 27)( 3,603,464, 71,555, 92,518,400,176,207,327,
38)( 4,616,443, 54,572, 91,511,411,164,188,319, 42)( 5,620,461, 61,
560,102,504,410,181,197,324, 29)( 6,605,458, 56,564, 79,496,416,169,
199,333, 34)( 7,614,446, 70,547, 80,520,403,173,203,320, 32)
( 8,604,449, 68,550, 96,495,392,182,195,329, 47)( 9,612,466, 62,566,
103,509,402,159,187,334, 45)( 10,618,467, 67,558, 81,499,412,175,191,
326, 50)( 11,609,453, 63,557, 89,505,401,167,193,323, 37)
( 12,601,447, 74,565, 87,508,414,166,202,337, 41)( 13,615,463, 60,552,
85,510,394,174,183,314, 52)( 14,622,452, 72,571, 93,506,393,161,204,
331, 35)( 15,610,445, 57,568, 97,503,404,180,192,332, 51)
( 16,602,460, 53,548,104,507,407,177,190,318, 33)( 17,619,450, 58,553,
94,498,408,157,184,338, 39)( 18,599,444, 78,559, 95,515,398,162,189,
328, 30)( 19,607,456, 76,556, 98,519,405,168,185,317, 48)
( 20,623,457, 64,549, 83,516,409,165,196,336, 36)( 21,606,448, 59,562,
82,512,391,158,208,325, 43)( 22,617,451, 66,570, 88,514,415,171,194,
315, 31)( 23,621,465, 75,569,101,517,413,179,205,335, 49)
( 24,608,462, 77,561, 90,497,395,178,201,321, 40)( 25,613,454, 55,551,
100,513,399,170,206,322, 46)( 26,611,459, 73,554, 84,501,406,160,200,
313, 28)(105,132,598,481,225,437,242,526,371,302,264,668)
(106,156,585,485,229,424,240,527,380,290,278,651)(107,135,594,487,217,
430,258,530,384,311,275,662)(108,148,573,470,234,429,251,541,372,292,
267,666)(109,152,591,477,222,440,244,540,389,301,272,653)
(110,137,588,472,226,417,236,546,377,303,281,658)(111,146,576,486,209,
418,260,533,381,307,268,656)(112,136,579,484,212,434,235,522,390,299,
277,671)(113,144,596,478,228,441,249,532,367,291,282,669)
(114,150,597,483,220,419,239,542,383,295,274,674)(115,141,583,479,219,
427,245,531,375,297,271,661)(116,133,577,490,227,425,248,544,374,306,
285,665)(117,147,593,476,214,423,250,524,382,287,262,676)
(118,154,582,488,233,431,246,523,369,308,279,659)(119,142,575,473,230,
435,243,534,388,296,280,675)(120,134,590,469,210,442,247,537,385,294,
266,657)(121,151,580,474,215,432,238,538,365,288,286,663)
(122,131,574,494,221,433,255,528,370,293,276,654)(123,139,586,492,218,
436,259,535,376,289,265,672)(124,155,587,480,211,421,256,539,373,300,
284,660)(125,138,578,475,224,420,252,521,366,312,273,667)
(126,149,581,482,232,426,254,545,379,298,263,655)(127,153,595,491,231,
439,257,543,387,309,283,673)(128,140,592,493,223,428,237,525,386,305,
269,664)(129,145,584,471,213,438,253,529,378,310,270,670)
(130,143,589,489,216,422,241,536,368,304,261,652)(339,340,364,351,355,
359,346,344,345,354,342,356)(341,343,360,357,347,352,362,348,358,363,
353,350)(625,626,650,637,641,645,632,630,631,640,628,642)
(627,629,646,643,633,638,648,634,644,649,639,636),
( 1,213,125,270,517,564)( 2,447,106,452,496,460)( 3,655,124,608,513,
70)( 4,291,110,426,520,382)( 5,109,114,504,512, 18)
( 6,421,130,374,498,304)( 7,629,128,322,502,200)( 8,187,111,634,
518,330)( 9, 31,121,400,516,174)( 10,499,122)( 11, 83,118,140,509,
486)( 12,525,117,244,510,356)( 13,239,120,348,506,538)
( 14,135,119,478,505, 96)( 15,473,115, 88,508,148)( 16,343,116,530,
507,252)( 17,395,126,166,503, 44)( 19, 57,107,660,514,616)
( 20,603,123, 62,497,668)( 21,265,127,556,495,226)( 22,161,113, 36,
511,408)( 23,551,105,218,515,278)( 24,317,112,192,501,642)
( 25,577,129,582,519,590)( 26,369,108,296,500,434)( 27,225,411,282,
179,555)( 28,459,392,464,158,451)( 29,667,410,620,175, 61)
( 30,303,396,438,182,373)( 32,433,416,386,160,295)( 33,641,414,334,
164,191)( 34,199,397,646,180,321)( 35, 43,407,412,178,165)
( 37, 95,404,152,171,477)( 38,537,403,256,172,347)( 39,251,406,360,
168,529)( 40,147,405,490,167, 87)( 41,485,401,100,170,139)
( 42,355,402,542,169,243)( 45, 69,393,672,176,607)( 46,615,409, 74,
159,659)( 47,277,413,568,157,217)( 48,173,399)( 49,563,391,230,177,
269)( 50,329,398,204,163,633)( 51,589,415,594,181,581)
( 52,381,394,308,162,425)( 53,211,671,280,621,565)( 54,445,652,462,
600,461)( 55,653,670,618,617, 71)( 56,289,656,436,624,383)
( 58,419,676,384,602,305)( 59,627,674,332,606,201)( 60,185,657,644,
622,331)( 63, 81,664,150,613,487)( 64,523,663,254,614,357)
( 65,237,666,358,610,539)( 66,133,665,488,609, 97)( 67,471,661, 98,
612,149)( 68,341,662,540,611,253)( 72,601,669)( 73,263,673,566,599,
227)( 75,549,651,228,619,279)( 76,315,658,202,605,643)
( 77,575,675,592,623,591)( 78,367,654,306,604,435)( 79,222,151,275,
491,557)( 80,456,132,457,470,453)( 82,300,136,431,494,375)
( 84,430,156,379,472,297)( 85,638,154,327,476,193)( 86,196,137,639,
492,323)( 89, 92,144,145,483,479)( 90,534,143,249,484,349)
( 91,248,146,353,480,531)( 93,482,141)( 94,352,142,535,481,245)
( 99,274,153,561,469,219)(101,560,131,223,489,271)(102,326,138,197,
475,635)(103,586,155,587,493,583)(104,378,134,301,474,427)
(183,215,645,284,335,554)(184,449,626,466,314,450)(186,293,630,440,
338,372)(188,423,650,388,316,294)(189,631,648,336,320,190)
(194,527,637,258,328,346)(195,241,640,362,324,528)(198,345,636,544,
325,242)(203,267,647,570,313,216)(205,553,625,232,333,268)
(206,319,632)(207,579,649,596,337,580)(208,371,628,310,318,424)
(209,229,281,283,569,547)(210,463,262,465,548,443)(212,307,266,439,
572,365)(214,437,286,387,550,287)(220,541,273,257,562,339)
(221,255,276,361,558,521)(224,359,272,543,559,235)(231,567,261)
(233,593,285,595,571,573)(234,385,264,309,552,417)(236,458,340,454,
522,455)(238,302,344,428,546,377)(240,432,364,376,524,299)
(246,536,351)(247,250,354,350,532,533)(259,588,363,584,545,585)
(260,380,342,298,526,429)(288,448,418,468,366,446)(290,292,422,442,
390,368)(311,578,441,598,389,576)(312,370,420)(467,574) ] ],
[ 6, 243360000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.4",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,152,185,101, 63,171,358,541,642,600,508,563, 8,131,204, 81, 75,167,
353,540,645,616,496,560, 17,138,183,100, 55,179,349,535,644,619,512,
548, 14,147,190, 79, 74,159,361,531,639,618,515,564, 2,144,199, 86,
53,178,341,543,635,613,514,567, 18,132,196, 95, 60,157,360,523,647,
609,509,566, 21,148,184, 92, 69,164,339,542,627,621,505,561, 20,151,
200, 80, 66,173,346,521,646,601,517,557, 15,150,203, 96, 54,170,355,
528,625,620,497,569, 11,145,202, 99, 70,158,352,537,632,599,516,549,
23,141,197, 98, 73,174,340,534,641,606,495,568, 3,153,193, 93, 72,
177,356,522,638,615,502,547, 22,133,205, 89, 67,176,359,538,626,612,
511,554)( 4,154,187,104, 71,166,351,545,633,604,501,558, 16,134,206,
83, 78,175,348,533,649,607,500,553, 12,146,186,102, 57,182,357,530,
637,623,503,552, 7,142,198, 82, 76,161,364,539,634,611,519,555, 6,
137,194, 94, 56,180,343,546,643,608,507,571, 9,136,189, 90, 68,160,
362,525,650,617,504,559, 25,139,188, 85, 64,172,342,544,629,624,513,
556, 13,155,191, 84, 59,168,354,524,648,603,520,565, 10,143,207, 87,
58,163,350,536,628,622,499,572, 19,140,195,103, 61,162,345,532,640,
602,518,551, 26,149,192, 91, 77,165,344,527,636,614,498,570, 5,156,
201, 88, 65,181,347,526,631,610,510,550, 24,135,208, 97, 62,169,363,
529,630,605,506,562)( 27,256,471,413,271,431,306,229,460,652,378,329,
34,235,490,393,283,427,301,228,463,668,366,326, 43,242,469,412,263,
439,297,223,462,671,382,314, 40,251,476,391,282,419,309,219,457,670,
385,330, 28,248,485,398,261,438,289,231,453,665,384,333, 44,236,482,
407,268,417,308,211,465,661,379,332, 47,252,470,404,277,424,287,230,
445,673,375,327, 46,255,486,392,274,433,294,209,464,653,387,323, 41,
254,489,408,262,430,303,216,443,672,367,335, 37,249,488,411,278,418,
300,225,450,651,386,315, 49,245,483,410,281,434,288,222,459,658,365,
334, 29,257,479,405,280,437,304,210,456,667,372,313, 48,237,491,401,
275,436,307,226,444,664,381,320)( 30,258,473,416,279,426,299,233,451,
656,371,324, 42,238,492,395,286,435,296,221,467,659,370,319, 38,250,
472,414,265,442,305,218,455,675,373,318, 33,246,484,394,284,421,312,
227,452,663,389,321, 32,241,480,406,264,440,291,234,461,660,377,337,
35,240,475,402,276,420,310,213,468,669,374,325, 51,243,474,397,272,
432,290,232,447,676,383,322, 39,259,477,396,267,428,302,212,466,655,
390,331, 36,247,493,399,266,423,298,224,446,674,369,338, 45,244,481,
415,269,422,293,220,458,654,388,317, 52,253,478,403,285,425,292,215,
454,666,368,336, 31,260,487,400,273,441,295,214,449,662,380,316, 50,
239,494,409,270,429,311,217,448,657,376,328)(105,126,107,127,115,119,
124,125,122,106,118,121,112)(108,128,109,130,123,114,117,129,113,110,
111,116,120)(573,594,575,595,583,587,592,593,590,574,586,589,580)
(576,596,577,598,591,582,585,597,581,578,579,584,588),
( 1,581,653,180,637,548, 5,503,672,414,650,262)( 2, 9,659,674,648,
626)( 3,165,663,570,629,496, 22,399,676,284,625,574)
( 4,217,675,362,640,600, 23, 35,671,310,634,418)( 6,191,661,466,630,
184, 11,451,656,206,635,444)( 7,373,658,258,644,132, 19, 87,668,492,
639, 54)( 8,243,670,154,643, 80, 18,477,665, 76,631,366)
( 10,425,654,232,649,340, 16,607,673, 50,645,288)( 12,529,667,128,638,
314)( 13,555,655,518,646,392, 26,269,651,596,627,158)
( 14,321,662,544,641,106)( 15, 61,657,388,632,236, 20,139,669,102,642,
470)( 17,113,664,336,636,522)( 21,295,660,440,628,210, 25,347,666,
622,647, 28)( 24,633,652)( 27,593,289,166,429,550,213,519,360,406,
624,283)( 29,177,299,556,421,498,230,415,364,276,599,595)
( 30,229,311,348,432,602,231, 51,359,302,608,439)( 31,515,308,400,442,
264,209,597,341,172,611,569)( 32,203,297,452,422,186,219,467,344,198,
609,465)( 33,385,294,244,436,134,227,103,356,484,613, 75)
( 34,255,306,140,435, 82,226,493,353, 68,605,387)( 36,437,290,218,441,
342,224,623,361, 42,619,309)( 37,463,292,192,427,446,214,207,349,458,
604,205)( 38,541,303,114,430,316,220,545,355,120,612,335)
( 39,567,291,504,438,394,234,285,339,588,601,179)( 40,333,298,530,433,
108,222,337,350,536,615,127)( 41, 73,293,374,424,238,228,155,357, 94,
616,491)( 43,125,300,322,428,524,225,129,352,328,610,543)
( 44,489,301, 62,423,368,216,259,358,146,617,101)( 45, 99,304,478,431,
56,215,389,346,250,618,153)( 46,151,305, 88,434,472,223, 77,345,380,
606,257)( 47,307,296,426,420,212,233,363,354,614,621, 49)
( 48,411,312,270,417,576,211,181,351,562,603,517)( 52,281,287,582,419,
160,221,571,343,510,620,413)( 53,579,367,164,247,566,135,513,100,408,
494,275)( 55,163,377,554,239,514,152,409,104,278,469,587)
( 57,501,386,398,260,280,131,591, 81,174,481,561)( 58,189,375,450,240,
202,141,461, 84,200,479,457)( 59,371,372,242,254,150,149, 97, 96,486,
483, 67)( 60,241,384,138,253, 98,148,487, 93, 70,475,379)
( 63,449,370,190,245,462,136,201, 89,460,474,197)( 64,527,381,112,248,
332,142,539, 95,122,482,327)( 65,553,369,502,256,410,156,279, 79,590,
471,171)( 66,319,376,528,251,124,144,331, 90,538,485,119)
( 69,111,378,320,246,540,147,123, 92,330,480,535)( 71, 85,382,476,249,
72,137,383, 86,252,488,145)( 74,397,390,268,235,592,133,175, 91,564,
473,509)( 78,267,365,580,237,176,143,565, 83,512,490,405)
(105,586,315,168,533,563,109,508,334,402,546,277)(107,170,325,558,525,
511,126,404,338,272,521,589)(110,196,323,454,526,199,115,456,318,194,
531,459)(116,534,329)(117,560,317,506,542,407,130,274,313,584,523,173
)(118,326,324,532,537,121)(157,585,549,161,507,568,395,520,282,391,
598,263)(159,169,559,551,499,516,412,416,286,261,573,575)
(162,195,557,447,500,204,401,468,266,183,583,445)(167,455,552,187,505,
464,396,208,271,443,578,185)(178,403,572,265,495,594,393,182,273,547,
577,497)(188,193,453,448) ] ],
[ 7, 243360000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.2^2",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,196,541,232,122,273,345,660,433,446,308,153,161,613,246,315,493,375,
72,396,574, 45, 94,650,502,555)( 2,201,536,234,112,269,339,664,437,
466,304,143,163,608,251,316,490,387, 57,405,584, 29,103,635,514,552)
( 3,207,531,228,110,262,357,666,442,450,295,131,170,619,258,330,481,
371, 62,407,576, 48,101,629,509,558)( 4,204,543,213,119,272,341,675,
427,462,292,132,175,614,260,320,477,365, 66,411,596, 44, 91,631,504,
563)( 5,197,532,211,129,271,358,656,418,461,302,156,164,607,235,326,
489,388, 70,403,579, 36, 95,628,516,569)( 6,184,539,224,130,268,347,
651,430,463,310,148,169,605,244,329,472,386, 75,395,587, 38, 81,649,
505,566)( 7,192,537,212,126,283,343,665,428,445,311,141,176,604,236,
331,484,390, 60,399,573, 40, 99,648,512,559)( 8,191,521,222,125,284,
356,663,423,452,303,134,178,621,239,327,480,367, 77,401,592, 32, 80,
643,510,572)( 9,183,534,229,128,278,351,657,426,459,290,152,179,603,
249,324,471,389, 63,410,578, 28, 97,640,520,554)( 10,199,524,230,127,
265,353,662,419,467,297,150,162,600,253,328,494,372, 61,391,586, 47,
102,642,507,553)( 11,202,526,210,123,276,364,658,425,443,300,151,180,
616,247,319,478,381, 56,412,595, 31, 93,636,497,571)( 12,185,545,219,
124,266,340,669,432,468,294,139,157,612,255,336,486,377, 59,400,589,
30,100,647,499,561)( 13,189,530,225,108,282,361,655,431,454,289,155,
167,618,240,314,487,380, 78,398,581, 27, 92,645,518,564)
( 14,203,544,226,117,267,348,667,420,464,309,135,171,610,237,337,479,
384, 58,392,591, 42,104,632,503,547)( 15,194,523,233,115,280,344,652,
435,458,312,138,165,599,248,333,492,382, 65,397,582, 43, 82,646,517,
551)( 16,208,528,217,105,274,359,674,434,455,293,140,173,602,256,335,
473,379, 64,393,597, 37, 98,630,496,565)( 17,186,542,231,109,275,350,
653,441,453,306,136,158,617,250,338,476,373, 53,404,593, 50, 96,637,
501,556)( 18,195,527,218,121,264,360,673,421,457,298,133,181,609,254,
318,470,383, 68,416,580, 35, 79,638,515,570)( 19,198,546,216,113,261,
352,671,440,460,299,137,166,615,238,334,491,369, 67,402,575, 51, 89,
644,500,548)( 20,188,522,227,120,286,346,659,417,456,307,154,174,611,
241,322,485,368, 74,413,577, 41, 90,627,519,557)( 21,206,538,221,111,
270,355,654,438,465,291,145,168,601,259,323,488,370, 54,409,588, 52,
86,633,495,560)( 22,205,525,223,116,263,363,661,436,448,288,149,172,
624,242,321,469,378, 73,414,590, 39, 85,634,511,550)( 23,187,535,220,
107,285,349,670,422,444,305,146,182,606,243,313,482,385, 76,408,585,
33, 88,641,498,568)( 24,200,533,215,114,277,342,672,439,447,301,142,
159,623,245,332,474,366, 71,406,598, 34, 87,625,508,567)
( 25,193,540,214,106,279,354,676,424,451,287,144,177,622,252,325,475,
374, 69,394,594, 49, 83,639,506,549)( 26,190,529,209,118,281,362,668,
429,449,296,147,160,620,257,317,483,376, 55,415,583, 46, 84,626,513,
562), ( 1,652,381,104,196, 61,354,219,337, 34,439,414,148,576,161,
636,308,487,530,561,604,107,455,254,515,267)( 2,366,390,208,191,347,
349,323,320,424,440,154,134,160,168,298,305,539,535,613,601,445,462,
514,501, 7)( 3,444,384,520,189, 9,340,375,338,190,425,362,141,316,
164,428,310,149,524,171,610,289,461,540,509,605)( 4,158,376,312,201,
529,353,609,315,450,436,518,137)( 5,626,386,494,192,555,344,115,325,
242,437,284,131,654,173, 90,300, 71,536,223,623, 29,465,410,512,579)
( 6,106,377,260,203,269,339,661,329, 86,430, 76,146,212,181, 38,309,
409,538,587,603,627,464,488,504,553)( 8,418,388,156,186,165,350,297,
331,528,431,622,133,446,176,506,293, 19,522,379,624,185,451,358,505,
319)( 10,548,370,130,195,243,359,271,313,658,433,102,144, 56,172,220,
311, 45,543,405,616,575,447,644,516,475)( 11,314,372,442,206,139,342,
167,324,294,435,544,145,602,159,454,306,513,527, 15,600,367,468,202,
503,345)( 12,288,383,546,197,607,341,453,332,502,423, 24,132,368,182,
194,295,357,531,327,606,419,466,150,498,163)( 13,236,385,286,183,659,
355, 89,326, 60,432,232,155, 30,179,402,304,591,525,639,620,471,452,
566,500,111)( 14, 54,380,234,207, 35,361,401,330,580,421,648,152,472,
166,558,292,123,533,249,619,263,443,670,511, 85)( 16,210,389, 52,205,
399,356,583,317,632,438,492,140,550,162,116,299,253,541,275,599,653,
459, 98,508, 59)( 17, 80,378, 78,198,217,363, 37,335,398,434,596,135,
628,178,480,296,565,526,119,611,237,463,280,495,657)( 18,574,369,650,
204,477,348,557,318,112,429,258,151,264,157,662,303, 97,534, 67,614,
211,467, 46,517,397)( 20,496,371, 26,184,373,364,193,321,346,427,336,
138,420,180,142,290,175,532,301,617,523,457,618,497,449)
( 21,262,365,676,199, 87,352, 63,328,216,441, 50,153,394,174,584,291,
643,542,483,608,549,448,124,507,241)( 22,470,374,572,188,113,351,245,
333,268,417,674,147, 82,170, 64,302,227,545, 41,621,393,460,592,499,
631)( 23,392,382,598,187,633,360,479,322,554,422,128,143,238,177,272,
287,669,537, 93,612, 55,458,228,519, 33)( 25, 28,387,416,200,581,343,
635,334,476,426,570,136,108,169,246,307,279,521,665,615, 81,456, 72,
510,215)( 27,673,407, 96,586, 57,640,230,493, 36,569,396,122,585,239,
645,282,469,660,563, 84,118, 65,250,229,285)( 31,647,412,486,582,551,
630,126,481,244,567,266,105,663,251, 99,274, 53,666,225,103, 40, 75,
406,226,597)( 32,127,403,252,593,265,625,672,485, 88,560, 58,120,221,
259, 47,283,391,668,589, 83,638, 74,484,218,571)( 39,257,411,278,573,
655,641,100,482, 62,562,214,129)( 42,231,415, 44,595,395,642,594,473,
634,568,474,114,559,240,125,273,235,671,277, 79,664, 69, 94,222, 77)
( 43,101,404, 70,588,213,649, 48,491,400,564,578,109,637,256,489,270,
547,656,121, 91,248, 73,276,209,675)( 49,413,408,590,577,629,646,490,
478,556,552,110,117,247,255,281,261,651,667, 95, 92, 66, 68,224,233,
51) ] ],
[ 8, 243360000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.4",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,299,150,164, 89,396,350, 73,649, 49,613,319,265,581,512,544,383,672,
452,199,549,120,494,210, 4,300,131,169, 98,398,349, 58,636, 47,623,
335,275,579,499,529,382,674,461,204,556,121,471,224, 26,288,134,170,
79,403,358, 60,635, 32,610,333,285,595,509,527,369,659,460,206,565,
126,478,225, 3,302,156,158, 82,404,339, 65,644, 34,609,318,272,593,
519,543,379,657,447,191,564,128,487,230, 10,303,133,172,104,392,342,
66,625, 39,618,320,271,578,506,541,389,673,457,189,551,113,486,232,
19,308,140,173, 81,406,364, 54,628, 40,599,325,280,580,505,526,376,
671,467,205,561,111,473,217, 18,310,149,178, 88,407,341, 68,650, 28,
602,326,261,585,514,528,375,656,454,203,571,127,483,215, 5,295,148,
180, 97,412,348, 69,627, 42,624,314,264,586,495,533,384,658,453,188,
558,125,493,231, 15,293,135,165, 96,414,357, 74,634, 43,601,328,286,
574,498,534,365,663,462,190,557,110,480,229, 25,309,145,163, 83,399,
356, 76,643, 48,608,329,263,588,520,522,368,664,443,195,566,112,479,
214, 12,307,155,179, 93,397,343, 61,642, 50,617,334,270,589,497,536,
390,652,446,196,547,117,488,216, 11,292,142,177,103,413,353, 59,629,
35,616,336,279,594,504,537,367,666,468,184,550,118,469,221, 20,294,
141,162, 90,411,363, 75,639, 33,603,321,278,596,513,542,374,667,445,
198,572,106,472,222)( 2,290,144,157, 91,410,346, 63,630, 38,619,337,
283,587,501,525,373,668,466,201,568,114,485,211, 16,312,132,160, 92,
391,351, 72,632, 37,604,324,281,597,517,535,371,655,451,200,570,123,
490,218, 17,289,146,182, 80,394,352, 53,637, 46,606,323,266,584,515,
545,387,665,449,187,555,122,492,227, 22,296,147,159, 94,416,340, 56,
638, 27,611,332,268,583,500,532,385,675,465,197,553,109,477,226, 24,
305,152,166, 95,393,354, 78,626, 30,612,313,273,592,502,531,370,662,
463,207,569,119,475,213, 9,304,154,175,100,400,355, 55,640, 52,600,
316,274,573,507,540,372,661,448,194,567,129,491,223, 7,291,139,174,
102,409,360, 62,641, 29,614,338,262,576,508,521,377,670,450,193,552,
116,489,233, 23,301,137,161, 87,408,362, 71,646, 36,615,315,276,598,
496,524,378,651,455,202,554,115,474,220, 21,311,153,171, 85,395,347,
70,648, 45,620,322,277,575,510,546,366,654,456,183,559,124,476,219,
6,298,151,181,101,405,345, 57,633, 44,622,331,282,582,511,523,380,
676,444,186,560,105,481,228, 8,297,136,168, 99,415,361, 67,631, 31,
607,330,284,591,516,530,381,653,458,208,548,108,482,209, 13,306,138,
167, 84,402,359, 77,647, 41,605,317,269,590,518,539,386,660,459,185,
562,130,470,212, 14,287,143,176, 86,401,344, 64,645, 51,621,327,267,
577,503,538,388,669,464,192,563,107,484,234)(235,247,254,242,245,240,
246,255,259,257,249,241,239,243,252,258,253,256,244,251,237,250,260,
236,238,248)(417,429,436,424,427,422,428,437,441,439,431,423,421,425,
434,440,435,438,426,433,419,432,442,418,420,430),
( 1,490,366,593,640, 15,204,388,619,634,327,207,674,609, 62,332,285,
664,401, 65,462,279,248,397, 39,450, 97,239,215, 38,424, 95,499,217,
168,442,563,512,295,179,546,550,122,287,491,522,576,120)
( 2,594,380, 21,646,379,203,648,613,192,336,623,660,323, 77,670,271,
66,410,273,456,409,247,449, 45,242, 85, 31,216, 90,421,225,506,425,
173,520,555,174,312,569,538,290,127,521,472,106,573,484)
( 3,360,367,359,627,353,185,362,601,348,315,363,653,349, 55,358,263,
352,393,351,445,357,237,345, 29,346, 81,343,211,350,419,355,497,347,
159,364,549,356,289,361,523,342,107,339,471,340,575,354)
( 4,126,365,489,626,587,198, 24,620,374,333,649,665,193, 76,618,270,
326,415,663,453, 71,254,267, 40,398, 91,447,227,246,423, 43,502, 87,
161,234,558,434,303,517,529,160,130,547,486,288,595,536)
( 5,230,376,437,641,509,191,180,624,556,330,311,673,531, 56,124,261,
482,392,585,458, 19,256,371, 47,632, 93,187,232,610,426,329,519,659,
167, 78,566,278,300,413,533,446,123,235,475, 28,580, 94)
( 6,152,370,151,630,145,188,154,604,140,318,155,656,141, 58,150,266,
144,396,143,448,149,240,137, 32,138, 84,135,214,142,422,147,500,139,
162,156,552,148,292,153,526,134,110,131,474,132,578,146)
( 7, 48,372, 99,629,223,194,440,615,504,321,181,676,557, 70,306,283,
534,394,117,443,487,236,579, 42, 8,100,369,229,636,431,199,518,607,
166,338,571,668,297, 75,540,264,118,391,481,444,591,250)
( 9,178,390,567,642,301,205,544,602,114,313,493,652,583, 68, 20,282,
378,411,637,457,201,258,605, 36,320,103,655,219, 64,436,277,508,399,
169,468,565,252,293, 49,528, 82,109,209,480,418,589,510)
( 10,334,389,671,635, 67,202,284,612,400,325,467,669,245, 59, 46,268,
92,395,221,454,435,251,501, 35,164,104,551,226,298,439,537,498,113,
157,494,548,590,302, 23,542,368,125,625,483,184,596,614)
( 11, 74,384,281,638,405,195,466,617,244,319, 51,658, 89, 57,228,272,
430,407,507,451,175,260,553, 44,294,101,525,212,116,417,485,496,581,
172, 26,568,382,307,647,535,186,128,599,478,314,597,666)
( 12,438,381,515,633,171,208,570,616,296,335,545,654,115, 53,488,262,
586,406, 13,464,383,255,631, 41,190,102,603,218,324,441,667,505, 61,
176,286,560,408,299,465,539,238,111, 27,476, 80,577,224)
( 14,412,377,463,643,249,189, 50,606, 88,317,233,662,427, 69,514,269,
170,416,559,460,305,257,527, 30,112, 79,473,210,584,432, 17,516,373,
177,650,561,200,310,621,530,316,129,651,479, 54,592,276)
( 16, 22,386,385,645,639,197,206,622,608,322,337,675,661, 63, 72,280,
274,404,403,455,461,253,241, 33, 34, 86, 83,213,220,428,433,511,503,
165,182,572,564,304,309,543,524,108,105,469,470,574,588)
( 18,308,387,541,628,119,183,492,600,582,328, 25,672,375, 73,644,275,
196,414,611,452,331,259,657, 37, 60, 98,265,222,402,429,459,513,243,
163, 52,554, 96,291,231,532,420,121,495,477,158,598,562)(133,344) ]
],
[ 9, 243360000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.2^2",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,475,536, 28,566,437,355,119,338,611,142,597,504,372,212,395,465,243,
642,674,175, 81,282,292)( 2,553,541,340,561,333,351,145,337,507,138,
233,499,450,217,629,466,165,627,284,162, 3,267,526)( 4,397,543,236,
564,671,357, 93,334,299,131,493,510, 34,228,421,459,113,650,622,168,
575,270,370)( 5,449,529,626,570,177,341,275,318, 13,137,545,496,554,
229,343,457,321,637,154,181,497,268,214)( 6, 7,527,522,548,567,359,
353,327,325,143,155,519,502,216,213,447,451,633,648,180,159,263,266)
( 8,215,525,444,555,645,362,171,315,273,136, 25,501,528,210,551,463,
347,639,336,169,133,285,500)( 9,631,544,158,549,281,344, 15,319,533,
132,571,515,346,223,317,455,139,649,518,164,211,265,448)
( 10,371,524,392,569,255,356,665,331, 91,152,311,495,476,224, 31,462,
425,641,128,182,601,272,578)( 11, 59,531, 54,557, 73,349, 67,323, 65,
141, 77,505, 60,219, 57,453, 61,635, 76,167, 55,271, 58)
( 12,579,530,366,550,411,361,249,330,663,149,103,516,294,209,473,458,
35,644,440,173,107,286,604)( 14,189,534,184,560,203,352,197,326,195,
144,207,508,190,222,187,456,191,638,206,170,185,274,188)
( 16, 33,540,418,563,125,364,613,324,585,140,389,498,398,231,239,460,
659,643,102,178,289,261,474)( 17,111,546,600,558,593,348,379,316,403,
153,259,512,658,227, 83,464,295,625,492,172, 29,280,422)
( 18,657,539, 80,568,307,339,483,328, 39,150,441,511,112,234,603,454,
581,634,388,160,393,283,240)( 19, 85,542,288,547,489,354, 41,332,429,
147,129,520,606,220,577,452,373,628,414,179,237,278,656)
( 20,423,537,106,572,619,350,587,322,377,134,415,517,242,226,655,461,
87,646,310,157,471,276, 32)( 21,345,535,314,559,151,363,509,320,221,
135,467,503,632,232,161,445,269,630, 24,163,523,262,552)
( 22,293,521,470,562, 47,358,431,329,117,156,623,506,580,218,369,446,
399,647,258,174,653,279, 84)( 23,241,538,652,565, 99,360,301,313,481,
146, 51,514,424,225,109,468,607,636,596,166,367,264,396)
( 26,605,532,574,556,385,342,405,335,247,148,675,513, 86,230,291,443,
477,640, 50,176,419,277,110)( 27,488,432, 43,124,442,615,116,598,608,
376,576,400,387,238,408,673,253, 96,672,305, 79,490,302)
( 30,410,439,251,122,676,617, 90,594,296,365,472,406, 49,254,434,667,
123,104,620,298,573,478,380)( 36,384,420,407,127,260,616,662,591, 88,
386,290,391,491,250, 44,670,435, 95,126,312,599,480,588)
( 37, 72,427, 69,115, 78,609, 64,583, 62,375, 56,401, 75,245, 70,661,
71, 89, 74,297, 53,479, 68)( 38,592,426,381,108,416,621,246,590,660,
383, 82,412,309,235,486,666, 45, 98,438,303,105,494,614)
( 40,202,430,199,118,208,612,194,586,192,378,186,404,205,248,200,664,
201, 92,204,300,183,482,198)( 42, 46,436,433,121,130,624,610,584,582,
374,368,394,413,257,252,668,669, 97,100,308,287,469,484)
( 48,306,417,485,120, 52,618,428,589,114,390,602,402,595,244,382,654,
409,101,256,304,651,487, 94)( 66,193),
( 1,320, 49,578, 15,332, 29,584)( 2,314, 28,574)( 3,324, 27,580, 23,
318, 41,592)( 4,317, 40,589, 25,322, 44,593)( 5,326, 43,597, 10,
330, 47,576)( 6,327, 46,575, 12,313, 34,595)( 7,319, 33,579)
( 8,335, 32,587, 20,315, 38,573)( 9,331, 37,596, 16,338, 48,585)
( 11,336, 42,598, 22,325, 35,591)( 13,321, 45,583, 24,328, 52,594)
( 14,329, 51,582, 18,333, 30,577)( 17,337, 36,590, 21,316, 31,586)
( 19,323, 50,588, 26,334, 39,581)( 53,398,257,214, 67,410,237,220)
( 54,392,236,210)( 55,402,235,216, 75,396,249,228)( 56,395,248,225,
77,400,252,229)( 57,404,251,233, 62,408,255,212)( 58,405,254,211,
64,391,242,231)( 59,397,241,215)( 60,413,240,223, 72,393,246,209)
( 61,409,245,232, 68,416,256,221)( 63,414,250,234, 74,403,243,227)
( 65,399,253,219, 76,406,260,230)( 66,407,259,218, 70,411,238,213)
( 69,415,244,226, 73,394,239,222)( 71,401,258,224, 78,412,247,217)
( 79,632,179,188, 93,644,159,194)( 80,626,158,184)( 81,636,157,190,
101,630,171,202)( 82,629,170,199,103,634,174,203)( 83,638,173,207,
88,642,177,186)( 84,639,176,185, 90,625,164,205)( 85,631,163,189)
( 86,647,162,197, 98,627,168,183)( 87,643,167,206, 94,650,178,195)
( 89,648,172,208,100,637,165,201)( 91,633,175,193,102,640,182,204)
( 92,641,181,192, 96,645,160,187)( 95,649,166,200, 99,628,161,196)
( 97,635,180,198,104,646,169,191)(105,658,491,344,119,670,471,350)
(106,652,470,340)(107,662,469,346,127,656,483,358)(108,655,482,355,
129,660,486,359)(109,664,485,363,114,668,489,342)(110,665,488,341,
116,651,476,361)(111,657,475,345)(112,673,474,353,124,653,480,339)
(113,669,479,362,120,676,490,351)(115,674,484,364,126,663,477,357)
(117,659,487,349,128,666,494,360)(118,667,493,348,122,671,472,343)
(121,675,478,356,125,654,473,352)(123,661,492,354,130,672,481,347)
(131,450,569,422,145,462,549,428)(132,444,548,418)(133,454,547,424,
153,448,561,436)(134,447,560,433,155,452,564,437)(135,456,563,441,
140,460,567,420)(136,457,566,419,142,443,554,439)(137,449,553,423)
(138,465,552,431,150,445,558,417)(139,461,557,440,146,468,568,429)
(141,466,562,442,152,455,555,435)(143,451,565,427,154,458,572,438)
(144,459,571,426,148,463,550,421)(147,467,556,434,151,446,551,430)
(149,453,570,432,156,464,559,425)(261,294,517,370,275,306,497,376)
(262,288,496,366)(263,298,495,372,283,292,509,384)(264,291,508,381,
285,296,512,385)(265,300,511,389,270,304,515,368)(266,301,514,367,
272,287,502,387)(267,293,501,371)(268,309,500,379,280,289,506,365)
(269,305,505,388,276,312,516,377)(271,310,510,390,282,299,503,383)
(273,295,513,375,284,302,520,386)(274,303,519,374,278,307,498,369)
(277,311,504,382,281,290,499,378)(279,297,518,380,286,308,507,373)
(521,606,543,604,535,618,523,610)(522,600)(524,603,534,615,545,608,
538,619)(525,612,537,623,530,616,541,602)(526,613,540,601,532,599,
528,621)(527,605)(529,617,531,622,536,624,542,611)(533,607,539,609,
544,614,546,620) ] ],
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520, 56,593,616,659,490,116, 29,136, 97,196,441,388)( 3,146,305,190,
467,371,340,647,530,313,213,572, 67,281,618,165,481,506, 30,578, 96,
664,438,128)( 4,588,304,658,464,111,341,153,539,183,233,390, 54,645,
608,321,473,558, 41,266, 98,170,429,518)( 5,562,301,268,462,163,351,
517,524,573,226,676, 74,125,601,139,487,194, 51,370, 80,638,426,336)
( 6, 94,300,424,466, 7,354,309,528,443,215,364, 75,541,599,217,494,
64, 47,604, 87,482,428, 50)( 8,458,293,346,465,527,339,231,546, 53,
229,624, 61,489,610, 35,474, 90, 40,422,102, 14,432,310)
( 10,328,291,554,457,267,358,179,533,495,212,598, 70,671,620,113,471,
142, 45,188,103,378,418,648)( 11,250,303,398,453,241,355,413,531,235,
225,416, 63,255,615,399,479,246, 43,396, 89,248,433,414)
( 12, 42,292, 86,456,423,362, 23,536,287,216,468, 59,359,621,529,469,
220, 52, 58, 99,612,425,492)( 13,510,290,580,460,657,360,127,523,131,
227,208, 77,385,600,633,478,324, 31,552, 93,274,436,180)
( 15,276,306,164,455,501,342,595,538,651,230,130, 55,151,617,191,493,
376, 28,630, 88,326,421,570)( 16,302,294,450,449,345,361,543,521,209,
234, 78, 73,619,607,477,480, 38, 32, 84, 92,430,440, 24)
( 17,406,297,242,459,397,349,257,537,391,219,260, 69,411,609,243,485,
402, 37,240, 95,404,427,258)( 18,666,308,112,445,137,357,205,545,365,
210,650, 62,333,603,555,483,272, 46,162, 91,508,420,596)
( 19,198,311,372,444,631,348,335,525,547,223,286, 72,177,611,503,472,
584, 44,656,100,118,419,154)( 20,172,299,502,446,579,356,673,542,105,
211,156, 71,203,623,373,470,636, 36,318, 83,560,431,284)
( 21,614,295,476,454, 33,344,101,534,417,232, 26, 68,307,606,451,475,
350, 49,526, 79,222,442, 76)( 22,120,289,138,461,189,363,387,522,625,
218,338, 57,567,613,269,488,168, 39,500, 82,586,434,674)
( 25,380,288,632,452,319,343,569,535,261,228,182, 65,515,602,581,486,
662, 48,110, 81,144,435,206)(106,627,140,331,187,571,379,262,644,166,
325,499,550,587,278,670,178,117,497,134,591,200,675,386)
(107,133,149,201,207,389,366,626,634,322,317,551,561,275,280,176,169,
507,498,576,590,668,672,126)(108,575,148,669,204,129,367,132,643,192,
337,369,548,639,270,332,161,559,509,264,592,174,663,516)
(109,549,145,279,202,181,377,496,628,582,330,655,568,119,263,150,175,
195,519,368,574,642,660,334)(114,315,135,565,197,285,384,158,637,504,
316,577,564,665,282,124,159,143,513,186,597,382,652,646)
(115,237,147,409,193,259,381,392,635,244,329,395,557,249,277,410,167,
247,511,394,583,252,667,412)(121,393,141,253,199,415,375,236,641,400,
323,239,563,405,271,254,173,403,505,238,589,408,661,256)
(122,653,152,123,185,155,383,184,649,374,314,629,556,327,265,566,171,
273,514,160,585,512,654,594)(245,251,407,401),
( 1,567,226,282,502,446, 45,167,107,403,344,647,389, 95,622,324)
( 2,151,215,594,509,472, 35, 63,120,533,343,205,374,667,624,246)
( 3,411,214,646,519, 82, 50,323,105,559,356,283,372,459,617,168)
( 4, 47,219,126,507,342, 49,375,121,611,350, 23,385,225,620,506)
( 5,203,218,672,520,238, 28,141,111,585,353,491,373, 69,614,532)
( 6,645,233,100,518,316, 27,557,122,273,346,465,383,173,601,402)
( 7,593,223,490,503, 56, 42,531,109,195,348,673,390,251,600,142)
( 8,463,227,178,497,394, 32,635,129, 91,362,335,365,563,616,272)
( 9, 73,224,542,499,186, 36,661,130,247,340,153,371,589,613,480)
( 10,671,234,256,496,134, 33,583,119,481,347, 75,380,537,603,194)
( 11,125,221,360,517,368, 43,609,116, 13,359,231,386,511,602, 38)
( 12, 21,229,230,516,498, 30, 37,115,117,351,361,387,381,615,610)
( 14,437,222,438,508,420, 40,427,118,429,352,439,378,433,612,428)
( 15,489,217, 74,510,524, 31,193,114,663,364,257,366,147,605,584)
( 16,541,213,204,504,654, 52,245,106,143,345,595,379,485,607, 64)
( 17,619,220, 22,515,212, 48,505,108, 39,349,127,377,355,621,376)
( 18,281,216,464,513,160, 29,401,110,637,363,101,388,329,599,558)
( 19,177,211,412,500,628, 51, 89,128,325,339,569,382,277,606,454)
( 20,307,228,308,514,290, 46,297,124,299,358,309,384,303,618,298)
( 24,333,209,568,512,264, 34,453,123,169,341,413,370,641,623, 90)
( 25, 99,232,334,495,550, 44,271,112,455,357,179,367,407,604,636)
( 26,255,210,152,501,576, 41,479,113, 65,354,543,369,199,608,662)
( 53,562,538,265,190,452,669,182,237,392,136,631,597, 93,492,321)
( 54,146,527,577,197,478,659, 78,250,522,135,189,582,665,494,243)
( 55,406,526,629,207, 88,674,338,235,548,148,267,580,457,487,165)
( 57,198,530,655,208,244,652,156,241,574,145,475,581, 67,484,529)
( 58,640,545, 83,206,322,651,572,252,262,138,449,591,171,471,399)
( 59,588,535,473,191, 62,666,546,239,184,140,657,598,249,470,139)
( 60,458,539,161,185,400,656,650,259, 80,154,319,573,561,486,269)
( 61, 68,536,525,187,192,660,676,260,236,132,137,579,587,483,477)
( 66,432,534,421,196,426,664,442,248,418,144,423,586,431,482,425)
( 70,276,528,447,201,166,653,416,240,626,155, 85,596,327,469,555)
( 71,172,523,395,188,634,675,104,258,314,131,553,590,275,476,451)
( 72,302,540,291,202,296,670,312,254,288,150,293,592,301,488,295)
( 76,328,521,551,200,270,658,468,253,158,133,397,578,639,493, 87)
( 77, 94,544,317,183,556,668,286,242,444,149,163,575,405,474,633)
( 79,570,330,261,554,460,279,164,445,409,162,627,415, 84,648,337)
( 81,414,318,625,571, 96,284,320,443,565,174,263,398,448,643,181)
( 86,466,331,157,549,408,266,632,467, 97,180,315,391,552,642,285)
( 92,440,326,417,560,434,274,424,456,435,170,419,404,422,638,441)
( 98,310,332,287,566,304,280,294,462,305,176,289,410,292,644,311)
(102,336,313,547,564,278,268,450,461,175,159,393,396,630,649,103)
(300,436) ] ],
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[ "L", [ 2, 25 ], 2 ],
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568, 21,481,602,188,288,558, 15,473,624,204,307,559, 4,474,600,194,
301,551, 26,490,619,195,290,552)( 3,492,614,192,300,571, 23,475,616,
183,289,570, 16,478,612,207,309,553, 18,469,601,206,302,556, 14,493,
621,189,304,547)( 5,494,620,203,299,550, 6,470,610,197,291,572, 22,
489,611,186,292,548, 12,483,603,208,308,567, 13,472,604,184,298,561)
( 8,479,618,201,303,554, 11,488,617,199,294,557, 20,487,615,190,297,
566, 19,485,606,193,306,565, 17,476,609,202,305,563)( 9,477,607,191,
295,555)( 27,445, 50,458, 36,456, 51,465, 33,460)( 28,454, 41,447,
52,464, 47,455, 30,448)( 29,466, 42,452, 40,467, 49,449, 44,443)
( 31,468, 48,463, 39,446, 32,444, 38,457)( 34,453, 46,461, 43,450, 37,
462, 45,459)( 35,451)( 53,315,648,510,400,352, 77,335,631,512,391,
341, 76,328,634,508,415,361, 59,330,625,497,414,354, 62,326,649,517,
397,356)( 54,324,639,499,416,360, 73,325,628,500,392,350, 67,317,650,
516,411,351, 56,318,626,506,405,343, 78,334,645,507,394,344)
( 55,336,640,504,404,363, 75,319,642,495,393,362, 68,322,638,519,413,
345, 70,313,627,518,406,348, 66,337,647,501,408,339)( 57,338,646,515,
403,342, 58,314,636,509,395,364, 74,333,637,498,396,340, 64,327,629,
520,412,359, 65,316,630,496,402,353)( 60,323,644,513,407,346, 63,332,
643,511,398,349, 72,331,641,502,401,358, 71,329,632,505,410,357, 69,
320,635,514,409,355)( 61,321,633,503,399,347)( 79,653,544,172,426,
144,103,673,527,174,417,133,102,666,530,170,441,153, 85,668,521,159,
440,146, 88,664,545,179,423,148)( 80,662,535,161,442,152, 99,663,524,
162,418,142, 93,655,546,178,437,143, 82,656,522,168,431,135,104,672,
541,169,420,136)( 81,674,536,166,430,155,101,657,538,157,419,154, 94,
660,534,181,439,137, 96,651,523,180,432,140, 92,675,543,163,434,131)
( 83,676,542,177,429,134, 84,652,532,171,421,156,100,671,533,160,422,
132, 90,665,525,182,438,151, 91,654,526,158,428,145)( 86,661,540,175,
433,138, 89,670,539,173,424,141, 98,669,537,164,427,150, 97,667,528,
167,436,149, 95,658,531,176,435,147)( 87,659,529,165,425,139)
(105,367,596,120,374,586,129,387,579,122,365,575,128,380,582,118,389,
595,111,382,573,107,388,588,114,378,597,127,371,590)(106,376,587,109,
390,594,125,377,576,110,366,584,119,369,598,126,385,585,108,370,574,
116,379,577,130,386,593,117,368,578)(112,375,592,123,381,580,115,384,
591,121,372,583,124,383,589)(113,373,581)(209,263,258,224,270,248,
233,283,241,226,261,237,232,276,244,222,285,257,215,278,235,211,284,
250,218,274,259,231,267,252)(210,272,249,213,286,256,229,273,238,214,
262,246,223,265,260,230,281,247,212,266,236,220,275,239,234,282,255,
221,264,240)(216,271,254,227,277,242,219,280,253,225,268,245,228,279,
251)(217,269,243), ( 1,538,645,266,586,324,247, 69,107,132,623,405,
182,371,570,514, 48,291,439, 88,669,224,477,186,346,453)
( 2,616,639,162,579,558,254, 43,109,418,608,665,172,475,550,358, 37,
5,434,634,656,588,480,238,355,115)( 3,148,649,396,598,376,258,511,
126,288,621, 93,175,215,555,202, 34,447,417,530,671,276,482,316,351,
63)( 4,356,635, 6,590,636,240,589,116,236,615,119,158,605,561,176,
33,551,436, 36,655,432,478,654,354,479)( 7,564,644, 32,577,428,244,
667,120,470,602,353,167)( 8,460,625,526,593,272,248,329,117, 54,601,
145,181,397,572,384, 50,499,438,296,673, 94,487,212,347,193)
( 9,200,632,448,573,532,255,277,118,314,611, 67,159,137,571,410, 52,
369,440,504,672,302,491, 82,357,219)( 10,668,640,474,576,350,245, 17,
122,626,604,587,168,241,563,124, 28,603,431,166,657,562,488, 30,343,
427)( 11, 18,642,630,578,584,246,251,121,106,600,613,171,163,553,566,
46, 31,421,426,660,666,484,472,342,349)( 12,252,641,110,574,610,249,
173,111,548,618, 41,161,423,556,670, 42,473,420,348,661, 16,486,628,
344,583)( 13, 70,627,136,597,402,260,381,128,496,620,301,179, 85,565,
228, 35,187,424,452,651,536,489,264,352,323)( 14,330,637, 58,575,142,
259,407,130,366,622,509,178,293,569, 98, 45,213,425,192,658,458,469,
524,359,271)( 15,174,631,552,592, 38,239,433,114,652,614,483,160,345,
557, 20, 44,629,422,582,662,250,485,108,340,609)( 19,226,633,188,580,
454,235,537,125,262,612,327,169, 59,549,150, 51,395,442,374,674,510,
490,290,361, 89)( 21,278,638,318,585, 64,237,147,129,392,624,379,180,
501,568,306, 49, 83,435,218,659,198,476,446,339,531)( 22,304,647, 84,
591,220,243,199,112,444,599,535,177,267,560,332, 39, 57,419,140,675,
406,494,368,362,505)( 23, 96,643,214,581,194,242,459,105,522,619,275,
170,319,559, 72, 29,135,441,400,676,380,492,498,360,297)
( 24,512,646,292,595, 90,253,225,113,184,606,457,157,527,567,280, 40,
317,429, 62,653,146,493,394,364,375)( 25,408,650,370,596,506,256,303,
127, 80,617,223,165,189,554,462, 27,525,437,270,664,328,481, 56,341,
141)( 26,382,648,500,594,298,257, 95,123,210,607,197,164,449,547,540,
47,265,430,322,663, 68,471,134,363,401)( 53,523,151,285,404,338,377,
76,497,152,311,413,104,383,232,503,204,294,465, 79,539,229,269,196,
320,455)( 55,133,155,415,416,390,388,518,516,308,309,101, 97,227,217,
191,190,450,443,521,541,281,274,326,325, 65)( 60,445,131,545,411,286,
378,336,507, 74,289,153,103,409,234,373,206,502,464,287,543, 99,279,
222,321,195)( 61,185,138,467,391,546,385,284,508,334,299, 75, 81,149,
233,399,208,372,466,495,542,307,283, 92,331,221)( 66,315,143, 77,393,
156,389,414,520,386,310,517,100,305,231, 87,201,216,451,183,528,463,
261,534,333,273)( 71,211,139,207,398,468,365,544,515,282,300,335, 91)
( 73,263,144,337,403, 78,367,154,519,412,312,387,102,513,230,295,205,
86,461,209,529,203,268,456,313,533) ] ],
[ 12, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.D_8",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,295,548,658,250,524, 69,438,409,144,129,478)( 2,659,562,528,251,420,
71,152,415,482,105,296)( 3,347,558,268,241,186, 57,178,414,612,122,
374)( 4, 61,568,398,248,108, 62, 22,399,560,112,244)
( 5,165,570,606,252,368, 55,360,402,274,111,192)( 6, 35,561,320,260,
576, 72,646,403,222,115,504)( 7,191,551,164,258,602, 70,386,393,352,
116,270)( 8,243,550, 60,256,394, 66,126,400, 14,113,556)
( 9,555,554,242,238, 56, 74,412,404,118,114, 10)( 11,503,552, 34,249,
316, 78,594,410,638,117,218)( 12,269,553,190,239,160, 76,620,408,378,
107,348)( 13,217,557,502,240, 30, 67,334,416,586,124,634)
( 15,321,572,580,254,628, 65,230,401,508,110, 36)( 16,529,563,424,253,
134, 77,490,391,300,106,660)( 17,425,565,138,259,472, 53,308,392,664,
120,530)( 18,373,549,346,246,264, 59,204,395,170,128,608)
( 19,139,571,476,235,290, 54,672,406,534,121,426)( 20,633,559,216,245,
498, 58, 48,405,326,130,582)( 21, 87,567, 86,255, 82, 73,100,411, 92,
125, 88)( 23,451,569,450,257,446, 75,464,413,456,127,452)
( 24,607,564,372,237,342, 64,282,397,196,109,166)( 25,477,547,294,236,
654, 68,542,407,430,123,140)( 26,581,566,632,247,212, 63,516,396, 40,
119,322)( 27,301,314,676,588,540,641,429,227,141,519,474)
( 28,665,328,546,589,436,643,143,233,479,495,292)( 29,353,324,286,579,
202,629,169,232,609,512,370)( 31,171,336,624,590,384,627,351,220,271,
501,188)( 32, 41,327,338,598,592,644,637,221,219,505,500)
( 33,197,317,182,596,618,642,377,211,349,506,266)( 37,509,318, 52,587,
332,650,585,228,635,507,214)( 38,275,319,208,577,176,648,611,226,375,
497,344)( 39,223,323,520,578, 46,639,325,234,583,514,630)
( 42,535,329,442,591,150,649,481,209,297,496,656)( 43,431,331,156,597,
488,625,299,210,661,510,526)( 44,379,315,364,584,280,631,195,213,167,
518,604)( 45,145,337,494,573,306,626,663,224,531,511,422)
( 47, 93,333,104,593, 98,645, 91,229, 89,515, 84)( 49,457,335,468,595,
462,647,455,231,453,517,448)( 50,613,330,390,575,358,636,273,215,193,
499,162)( 51,483,313,312,574,670,640,533,225,427,513,136)
( 79,307, 80,671, 94,541, 95,437, 97,151,103,489)( 81,359, 90,281, 85,
203, 83,177,102,619, 96,385)(101,463)(131,311,470,651,302,522,667,
432,539,147,441,487)(132,675,484,521,303,418,669,146,545,485,417,305)
(133,363,480,261,293,184,655,172,544,615,434,383)(135,181,492,599,304,
366,653,354,532,277,423,201)(137,207,473,157,310,600,668,380,523,355,
428,279)(142,285,475,183,291,158,674,614,538,381,419,357)
(148,389,471,339,298,262,657,198,525,173,440,617)(149,155,493,469,287,
288,652,666,536,537,433,435)(153,467,491,443,309,444,673,458,543,459,
439,461)(154,623,486,365,289,340,662,276,527,199,421,175)
(159,362,610,278,371,185,343,168,284,605,200,369)(161,180,622,616,382,
367,341,350,272,267,189,187)(163,206,603,174,388,601,356,376,263,345,
194,265)(179,466,621,460,387,445,361,454,283,449,205,447),
( 1,350, 28,638,501,254,275,115,601,308,521,480, 2,352, 33,644,509,
245,263,126,599,298,522,482, 7,358, 41,635,497,256,261,116,600,300,
527,488, 15,349, 29,646,495,246,262,118,605,306,535,479, 3,360, 27,
636,496,248,267,124,613,297,523,490)( 4,347, 51,650,515,240,276,112,
608,310,524,477, 25,364, 47,630,510,242,270,128,602,295,545,494, 21,
344, 42,632,504,258,264,113,623,312,541,474, 16,346, 36,648,498,243,
285,130,619,292,536,476, 10,362, 30,633,519,260,281,110,614,294,530,
492)( 5,357, 39,641,512,239,279,117,615,304,525,487, 13,355, 44,629,
513,247,277,122,603,305,533,485, 18,343, 45,637,511,252,265,123,611,
303,538,473, 19,351, 43,642,499,253,273,121,616,291,539,481, 17,356,
31,643,507,251,278,109,617,299,537,486)( 6,354, 34,634,518,238,269,
129,624,307,526,484, 8,348, 50,628,503,259,286,125,604,302,528,478,
24,342, 35,649,520,255,266,120,606,296,544,472, 9,363, 52,645,500,
250,268,114,622,290,529,493, 26,359, 32,640,502,244,284,108,607,311,
546,489)( 11,341, 48,625,506,236,274,111,618,301,531,471, 22,339, 38,
626,508,241,280,119,609,289,542,469, 12,340, 40,631,514,249,271,107,
620,287,532,470, 14,345, 46,639,505,237,282,105,610,288,534,475, 20,
353, 37,627,516,235,272,106,612,293,540,483)( 23,361, 49,647,517,257,
283,127,621,309,543,491)( 53,376,652,456,319,150, 93,219,549,178,573,
428, 54,378,657,462,327,141, 81,230,547,168,574,430, 59,384,665,453,
315,152, 79,220,548,170,579,436, 67,375,653,464,313,142, 80,222,553,
176,587,427, 55,386,651,454,314,144, 85,228,561,167,575,438)
( 56,373,675,468,333,136, 94,216,556,180,576,425, 77,390,671,448,328,
138, 88,232,550,165,597,442, 73,370,666,450,322,154, 82,217,571,182,
593,422, 68,372,660,466,316,139,103,234,567,162,588,424, 62,388,654,
451,337,156, 99,214,562,164,582,440)( 57,383,663,459,330,135, 97,221,
563,174,577,435, 65,381,668,447,331,143, 95,226,551,175,585,433, 70,
369,669,455,329,148, 83,227,559,173,590,421, 71,377,667,460,317,149,
91,225,564,161,591,429, 69,382,655,461,325,147, 96,213,565,169,589,
434)( 58,380,658,452,336,134, 87,233,572,177,578,432, 60,374,674,446,
321,155,104,229,552,172,580,426, 76,368,659,467,338,151, 84,224,554,
166,596,420, 61,389,676,463,318,146, 86,218,570,160,581,441, 78,385,
656,458,320,140,102,212,555,181,598,437)( 63,367,672,443,324,132, 92,
215,566,171,583,419, 74,365,662,444,326,137, 98,223,557,159,594,417,
64,366,664,449,332,145, 89,211,568,157,584,418, 66,371,670,457,323,
133,100,209,558,158,586,423, 72,379,661,445,334,131, 90,210,560,163,
592,431)( 75,387,673,465,335,153,101,231,569,179,595,439)
(183,402,184,404,189,410,197,401,185,412)(186,399,207,416,203,396,198,
398,192,414)(187,409,195,407,200,395,201,403,199,408)
(188,406,190,400,206,394,191,415,208,411)(193,393,204,391,194,392,196,
397,202,405)(205,413) ] ],
[ 13, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.2^3",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,607,481,173,505, 80)( 2, 9,477,485,511,496)( 3,425,471,433,497,418
)( 4,217,486,303,504,626)( 5,191,494,381,500,392)( 6,399,473,199,
520,366)( 7, 61,489,355,509,314)( 8,555,484,537,517,132)
( 10,633,472,225,512,288)( 11, 87,469,615,507,158)( 12,243,492,589,
508,652)( 13,165,479, 95,495,600)( 14,659,480,251,518,574)
( 15,321,475, 69,515,340)( 16,529,491,147,502,548)( 17,503,470)
( 18,295,478,641,498,210)( 19, 35,493,277,514,106)( 20,113,487, 43,
519,262)( 21,347,483,329,501, 54)( 22,451,490,459,516,444)
( 23,139,476,563,510,522)( 24,581,482,667,506,236)( 25,269,488,121,
513, 28)( 26,373,474,407,499,184)( 27,623,273,176,115, 97)
( 29,441,263,436,107,435)( 30,233,278,306,114,643)( 31,207,286,384,
110,409)( 32,415,265,202,130,383)( 33, 77,281,358,119,331)
( 34,571,276,540,127,149)( 36,649,264,228,122,305)( 37,103,261,618,
117,175)( 38,259,284,592,118,669)( 39,181,271, 98,105,617)
( 40,675,272,254,128,591)( 41,337,267, 72,125,357)( 42,545,283,150,
112,565)( 44,311,270,644,108,227)( 45, 51,285,280,124,123)
( 46,129,279)( 47,363,275,332,111, 71)( 48,467,282,462,126,461)
( 49,155,268,566,120,539)( 50,597,274,670,116,253)( 52,389,266,410,
109,201)( 53,619,351,171,323, 85)( 55,437,341,431,315,423)
( 56,229,356,301,322,631)( 57,203,364,379,318,397)( 58,411,343,197,
338,371)( 59, 73,359,353,327,319)( 60,567,354,535,335,137)
( 62,645,342,223,330,293)( 63, 99,339,613,325,163)( 64,255,362,587,
326,657)( 65,177,349, 93,313,605)( 66,671,350,249,336,579)
( 67,333,345)( 68,541,361,145,320,553)( 70,307,348,639,316,215)
( 74,463,360,457,334,449)( 75,151,346,561,328,527)( 76,593,352,665,
324,241)( 78,385,344,405,317,189)( 79,599,611,169,167, 89)
( 81,417,601,429,159,427)( 82,209,616,299,166,635)( 83,183,624,377,
162,401)( 84,391,603,195,182,375)( 86,547,614,533,179,141)
( 88,625,602,221,174,297)( 90,235,622,585,170,661)( 91,157,609)
( 92,651,610,247,180,583)( 94,521,621,143,164,557)( 96,287,608,637,
160,219)(100,443,620,455,178,453)(101,131,606,559,172,531)
(102,573,612,663,168,245)(104,365,604,403,161,193)(133,424,549,432,
523,439)(134,216,564,302,530,647)(135,190,572,380,526,413)
(136,398,551,198,546,387)(138,554,562,536,543,153)(140,632,550,224,
538,309)(142,242,570,588,534,673)(144,658,558,250,544,595)
(146,528,569)(148,294,556,640,524,231)(152,450,568,458,542,465)
(154,580,560,666,532,257)(156,372,552,406,525,205)(185,442,367,422,
393,421)(186,234,382,292,400,629)(187,208,390,370,396,395)
(188,416,369)(192,650,368,214,408,291)(194,260,388,578,404,655)
(196,676,376,240,414,577)(200,312,374,630,394,213)(204,468,386,448,
412,447)(206,598,378,656,402,239)(211,434,289,426,627,420)
(212,226,304,296,634,628)(218,642,290)(220,252,310,582,638,654)
(222,668,298,244,648,576)(230,460,308,452,646,446)(232,590,300,660,
636,238)(237,440,575,430,653,428)(246,258,596,586,664,662)
(248,674,584)(256,466,594,456,672,454)(438,445),
( 1, 9,425,426,478,493,415,414, 50, 33,631,625)( 2,295,438,270,473,
129,394,206, 45,527,644, 79)( 3,139,433,348,483,597,411,258, 37,319,
640,157)( 4,191,435,530,488,103,392,310, 48,267,629,105)
( 5,113,420,192,487,545,410,102, 28,293,646,261)( 6,659,422,660,474,
675,396,674, 32,657,630,651)( 7,633,417, 10,477,441,400,492, 51,397,
648, 27)( 8,503,430,218,480,623,416, 76, 39,553,642,365)
( 11,321,432,166,471,155,407,362, 41,579,645,235)( 12,607,442, 62,481,
571,408,388, 34,501,638,209)( 13,555,434,374,476,519,404,232, 38,605,
650, 53)( 14,217,428,608,494, 77,403,570, 44,371,632,495)
( 15,581,437,244,479,337,406,180, 29,137,641,339)( 16,165,419,140,485,
363,405,596, 47,241,635,313)( 17,347,431,582,489,259,401,336, 42,163,
627,131)( 18,373,424,504,482,233,402,622, 52, 59,637,547)
( 19,529,436, 88,470,311,412,284, 31,111,628,183)( 20, 87,418,296,490,
285,395,128, 30,189,643,521)( 21,243,427,322,484,181,393,154, 43,345,
639,573)( 22,269,421,114,472,207,409,544, 46, 85,626,287)
( 23,451,439,452,491,467,413,466, 49,449,647,443)( 24, 35,423,634,469,
25,399,440, 36,475,649,391)( 26, 61,429,556,486,389,398,518, 40,215,
636,599)( 54,299,568,278,369,112,498,196,227,532,618,104)
( 55,143,563,356,379,580,515,248,219,324,614,182)( 56,195,565,538,384,
86,496,300,230,272,603,130)( 57,117,550,200,383,528,514, 92,210,298,
620,286)( 58,663,552,668,370,658,500,664,214,662,604,676)
( 60,507,560,226,376,606,520, 66,221,558,616,390)( 63,325,562,174,367,
138,511,352,223,584,619,260)( 64,611,572, 70,377,554,512,378,216,506,
612,234)( 65,559,564,382,372,502,508,222,220,610,624, 78)
( 67,585,567,252,375,320,510,170,211,142,615,364)( 68,169,549,148,381,
346,509,586,229,246,609,338)( 69,351,561,590,385,242,505,326,224,168,
601,156)( 71,533,566, 96,366,294,516,274,213,116,602,208)
( 72, 91,548,304,386,268,499,118,212,194,617,546)( 73,247,557,330,380,
164,497,144,225,350,613,598)( 74,273,551,122,368,190,513,534,228, 90,
600,312)( 75,455,569,460,387,450,517,456,231,454,621,468)
( 80,288,308,282,265,109,108,186,201,539,540, 98)( 81,132,303,360,275,
577,125,238,193,331,536,176)( 82,184,305,542,280, 83,106,290,204,279,
525,124)( 84,652,292,672,266,655,110,654,188,669,526,670)
( 89,314,302,178,263,135,121,342,197,591,541,254)( 93,574,307,256,271,
317,120,160,185,149,537,358)( 94,158,289,152,277,343,119,576,203,253,
531,332)( 95,340,301,594,281,239,115,316,198,175,523,150)
( 97,522,306,100,262,291,126,264,187,123,524,202)( 99,236,297,334,276,
161,107,134,199,357,535,592)(101,444,309,464,283,447,127,446,205,461,
543,462)(133,147,355,353,587,593,255,245,323,328,172,159)
(136,667,344,665,578,671,240,661,318,666,162,653)(141,329,354,171,575,
151,251,349,327,588,177,237)(145,589,359,249,583,333,250,167,315,146,
173,341)(153,459,361,457,595,463,257,453,335,458,179,445)(448,673),
( 1,353,285,532, 48,218,158, 82,647,489,370,206,306, 63,149,419,658,
616,598,563,325,447,120,508,241,399)( 2, 93,283,480, 32,192,176, 56,
643,437,372,622,312,557,143,445,666,512,579,407,313,343,129,534,256,
217)( 3,665,278,584, 43,322,161,108,638,255,373, 24,301,271,142, 29,
660,174,576,641,333,369,128,300,245,139)( 4,639,281,376, 50,296,167,
134,627,671,382,596,303,323,135,107,664,252,581, 17,327,265,116, 40,
244,165)( 5,119,274,246, 35, 10,171,264,636, 47,374,180,290,635,151,
367,674,304,583,147,315,655,122,586,251,321)( 6,197,280, 64, 45,426,
164,602,650,567,377,466,302,505,137,393,651,356,597,537,334,213,106,
92,257,477)( 7,405,261,350, 51,530,178,212,626, 99,387,492,292,193,
150, 55,669,434,580,615,338,551,117,456,250,503)( 8,613,286,558, 39,
452,172,498,631,411,365,362,311,531,152,211,652, 96,595,485,318,187,
124, 66,253,425)( 9, 15,275,272, 38, 36,166,160,628,645,385,388,310,
297,141,133,653,668,590,589,329,317,109,118,248,243)( 11,145,263,662,
44,582,173,316,629,125,378,258,295)( 12, 41,270,168, 30,634,177,368,
648,307,375,154,289,661,148,575,667,330,577,121,326,239,113, 14,249,
269)( 13,457,276,506, 33,400,157,342,649,541,386,232,288, 89,153,471,
656,200,592, 69,331,421,112,612,260,555)( 16,509,267,402, 27,348,181,
524,646,229,366,102,309,479,136,185,670, 70,591,433,320,603,130,560,
247,451)( 18,587,277,324, 31,114,170,238,633, 21,379,284,298, 37,140,
159,654,642,593,381,336,291,115,144,237,659)( 19,431,268,610, 52,556,
169,446,640,515,371,414,287,349,155,523,672,226,574, 95,335,473,110,
196,254, 61)( 20, 67,279,428, 34,608,182,550,637,463,380,518,293,401,
131,341,675,538,594,225,314, 83,127,482,240,191)( 22,223,262, 90, 49,
478,162,186,644, 73,383,440,294,609,156,549,663,460,588,511,319,395,
105,352,259,529)( 23,483,266,194, 46, 62,175,420,632,619,390,570,299,
453,146,497,657,408,573,355,337,525,126,222,236, 87)( 25,535,282,220,
28, 88,179,472,630,203,384, 76,305,427,138,601,676,564,585,459,328,
499,111,404,235,347)( 26,561,273,454, 42,504,163,394,625,359,389,544,
308,219,132, 81,673,486,578,199,332, 57,123,430,242,607)
( 53,357,441,528,620,234,548, 91,465,484,500,189,410)( 54, 97,439,476,
604,208,566, 65,461,432,502,605,416,547,351,467,536,516,215,392, 79,
361,493,526,204,228)( 58,201,436, 60,617,442,554,611,468,562,507,449,
406,495,345,415,521,360,233,522,100,231,470, 84,205,488)
( 59,409,417,346,623,546,568,221,444, 94,517,475,396,183,358, 77,539,
438,216,600,104,569,481,448,198,514)( 68,513,423,398,599,364,571,533,
464,224,496, 85,413,469,344,207,540, 74,227,418, 86,621,494,552,195,
462)( 71,435,424,606,624,572,559,455,458,510,501,397,391,339,363,545,
542,230,210, 80,101,491,474,188,202, 72)( 75,487,422,190,618, 78,565,
429,450,614,520,553,403,443,354,519,527,412,209,340,103,543,490,214,
184, 98) ] ],
[ 14, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PSigmaL(2, 25) wreath Sym(2)", [ "L", [ 2, 25 ], 2 ],
[ ( 1,445,437,318,547,393,255,474,365,341,125,188,599, 3,463,422,313,549,
411,240,469,367,359,110,183,601, 21,448,417,315,567,396,235,471,385,
344,105,185,619, 6,443,419,333,552,391,237,489,370,339,107,203,604)
( 2,451,438,323,548,399,256,479,366,347,126,193,600, 9,464,427,314,
555,412,245,470,373,360,115,184,607, 22,453,418,321,568,401,236,477,
386,349,106,191,620, 11,444,425,334,557,392,243,490,375,340,113,204,
609)( 4,447,431,325,550,395,249,481,368,343,119,195,602, 5,457,429,
316,551,405,247,472,369,353,117,186,603, 15,455,420,317,561,403,238,
473,379,351,108,187,613, 13,446,421,327,559,394,239,483,377,342,109,
197,611)( 7,449,423,319,553,397,241,475,371,345,111,189,605)
( 8,466,435,335,554,414,253,491,372,362,123,205,606, 24,461,439,320,
570,409,257,476,388,357,127,190,622, 19,465,424,336,565,413,242,492,
383,361,112,206,617, 23,450,440,331,569,398,258,487,387,346,128,201,
621)( 10,459,434,332,556,407,252,488,374,355,122,202,608, 17,460,436,
322,563,408,254,478,381,356,124,192,615, 18,462,426,329,564,410,244,
485,382,358,114,199,616, 20,452,433,330,566,400,251,486,384,348,121,
200,618)( 12,467,430,338,558,415,248,494,376,363,118,208,610, 25,456,
442,324,571,404,260,480,389,352,130,194,623, 14,468,428,337,560,416,
246,493,378,364,116,207,612, 26,454,441,326,572,402,259,482,390,350,
129,196,624)( 16,458,432,328,562,406,250,484,380,354,120,198,614)
( 27,627, 73,162, 79,211,541,136,495,289,671,266,573, 29,645, 58,157,
81,229,526,131,497,307,656,261,575, 47,630, 53,159, 99,214,521,133,
515,292,651,263,593, 32,625, 55,177, 84,209,523,151,500,287,653,281,
578)( 28,633, 74,167, 80,217,542,141,496,295,672,271,574, 35,646, 63,
158, 87,230,531,132,503,308,661,262,581, 48,635, 54,165,100,219,522,
139,516,297,652,269,594, 37,626, 61,178, 89,210,529,152,505,288,659,
282,583)( 30,629, 67,169, 82,213,535,143,498,291,665,273,576, 31,639,
65,160, 83,223,533,134,499,301,663,264,577, 41,637, 56,161, 93,221,
524,135,509,299,654,265,587, 39,628, 57,171, 91,212,525,145,507,290,
655,275,585)( 33,631, 59,163, 85,215,527,137,501,293,657,267,579)
( 34,648, 71,179, 86,232,539,153,502,310,669,283,580, 50,643, 75,164,
102,227,543,138,518,305,673,268,596, 45,647, 60,180, 97,231,528,154,
513,309,658,284,591, 49,632, 76,175,101,216,544,149,517,294,674,279,
595)( 36,641, 70,176, 88,225,538,150,504,303,668,280,582, 43,642, 72,
166, 95,226,540,140,511,304,670,270,589, 44,644, 62,173, 96,228,530,
147,512,306,660,277,590, 46,634, 69,174, 98,218,537,148,514,296,667,
278,592)( 38,649, 66,182, 90,233,534,156,506,311,664,286,584, 51,638,
78,168,103,222,546,142,519,300,676,272,597, 40,650, 64,181, 92,234,
532,155,508,312,662,285,586, 52,636, 77,170,104,220,545,144,520,298,
675,274,598)( 42,640, 68,172, 94,224,536,146,510,302,666,276,588),
( 1,133,652,190,378,507,405,215,621,593,461, 87)( 2,185,664,502,379,
221,413,579,617, 99,443,139)( 3,653,658,372,377,403,397,605,619,463,
451, 9)( 4,107,668,242,369,533,401,553,622, 73,454,347)
( 5,523,661,554,388, 65,402,345,602,125,460,243)( 6,159,670,268,381,
637,396,163,618,281,459,633)( 7,601,671,450,373, 13,393,657,606,385,
455,399)( 8,367,663,398,371,611,411,449,607, 21,445,659)
( 10,419,675,320,386,299,400,423,623,333,464,295)( 11,549,674, 60,376,
351,394,111,616,255,447,529)( 12,341,654,112,382,247,395,527,609,567,
466, 61)( 14,497,665,216,387,585,409, 85,599,151,444,191)
( 15,211,673,580,383, 91,391,137,600,203,456,503)( 16,471,676, 34,380,
481,416, 33,614,489,468, 35)( 17,627,656,164,384,273,407,631,604,177,
462,269)( 18,237,655,528,375,559,414, 59,610,359,446,113)
( 19, 81,651,138,366,195,404,501,613,229,465,581)( 20,263,667,632,370,
169,410,267,615,645,448,165)( 22,289,660,424,389,325,412,293,608,437,
467,321)( 23,575,669, 86,365,143,392,189,612,515,457,217)
( 24, 55,662,346,368,117,408,241,603,541,453,555)( 25,315,672,294,374,
429,415,319,620,307,452,425)( 26, 29,666,476,390, 39,406,475,624, 47,
458,477)( 27,146,470,208, 40,510,483,234, 49,588,487,104)
( 28,198,482,520, 41,224,491,598, 45, 94,469,156)( 30,120,486,260, 31,
536,479,572, 50, 68,480,364)( 32,172,488,286, 43,640,474,182, 46,276,
485,650)( 36,432,493,338, 48,302,478,442, 51,328,490,312)
( 37,562,492, 78, 38,354,472,130, 44,250,473,546)( 42,484,494, 52)
( 53,142,340,186,118,512,249,213,543,583,565,102)( 54,194,352,498,119,
226,257,577,539, 89,547,154)( 56,116,356,238,109,538,245,551,544, 63,
558,362)( 57,532,349,550,128, 70,246,343,524,115,564,258)
( 58,168,358,264,121,642,240,161,540,271,563,648)( 62,428,363,316,126,
304,244,421,545,323,568,310)( 64,350,342,108,122,252,239,525,531,557,
570, 76)( 66,506,353,212,127,590,253, 83,521,141,548,206)
( 67,220,361,576,123, 96,235,135,522,193,560,518)( 69,636,344,160,124,
278,251,629,526,167,566,284)( 71, 90,339,134,106,200,248,499,535,219,
569,596)( 72,272,355,628,110,174,254,265,537,635,552,180)
( 74,298,348,420,129,330,256,291,530,427,571,336)( 75,584,357, 82,105,
148,236,187,534,505,561,232)( 77,324,360,290,114,434,259,317,542,297,
556,440)( 79,131,132,184,196,508,509,223,231,595,591, 97)
( 80,183,144,496,197,222,517,587,227,101,573,149)( 84,157,150,262,199,
638,500,171,228,283,589,643)( 88,417,155,314,204,300,504,431,233,335,
594,305)( 92,495,145,210,205,586,513, 93,209,153,574,201)
( 95,625,136,158,202,274,511,639,214,179,592,279)( 98,261,147,626,188,
170,514,275,225,647,578,175)(100,287,140,418,207,326,516,301,218,439,
597,331)(103,313,152,288,192,430,519,327,230,309,582,435)
(162,176,280,277,641,630)(166,436,285,329,646,292)(173,644,266)
(178,306,270,433,649,318)(181,332,282,303,634,422)(296,426,441,337,
334,308)(311,322,438) ] ],
[ 15, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PGL(2, 25) wreath Sym(2)", [ "L", [ 2, 25 ], 2 ],
[ ( 1, 28,381,544,159,428,634,605,332, 67,560,513, 96,273,130,413,203,576,
139,484,213,292,256,346,467,661)( 2,366,388,180,168,636,631,319,327,
561,565, 97, 91,117,127,205,186,134,146,224,214,240,242,450,453, 11)
( 3,418,374,622,176, 64,638,501,330,275,572,409, 99,585,113,491,187,
290,152,354,233,656,235, 34,459,531)( 4,132,380,232,162,246,632,449,
323, 15,548,383,102,169,116,647,189,316,145,562,227, 84,247,112,465,
193)( 5,288,386,362,181,662,625, 33,329,535,549,435, 88,611,124, 75,
196,498,148,276,234,396,255,580,451,479)( 6,236,372,466,167, 12,626,
371,336,171,558,643, 85,325,119,569,201, 82,143,120,231,188,238,138,
458,219)( 7,314,379,570,175, 90,637,111,335,197,550,149, 94,221,110,
257,190,446,141, 16,210,370,258,164,454,635)( 8,444,375, 24,158,376,
648,163,324,639,553,331, 93,559,123,101,195,108,153,198,212,136,250,
216,448,245)( 9,470,369,310,178,350,649,657,313, 41,563,539, 81,429,
114,621,202, 56,144,510,226,266,260,398,463,583)( 10,600,384, 76,170,
506,642,267,338,405,567,591, 87,481,109,309,204,342,155,666,209, 32,
251,528,445,427)( 13,106,387,206,160,142,640,215,318,249,554,461, 89)
( 14,496,382,284,182,402,645,579,321,483,551,305,100,351,129,673,183,
30,147,536,211,422,244,606,462, 63)( 17,522,367,440,166,610,644, 59,
326,509,564,279,104,403,125,595,191,472,135,302,230,344,259,658,443,
37)( 18,262,390,414,177,584,633,475,317,301,568,357,103,663,105, 49,
199,524,133,432,218,604,254, 60,456,505)( 19, 80,377,128,179,194,628,
137,328,223,552,253, 86,455,115, 23,184,368,154,172,220,630,241,320,
457,557)( 20, 54,378,518,174,272,650,397,333,587,555,487, 83,299,126,
361,207,654,131, 42,225,526,237,424,452,609)( 21,574,373,492,161,298,
646,345,337,665,547, 45, 95,533,107,439,192,602,150, 68,222,500,252,
268,468,401)( 22,340,389,674,157, 38,641,527,315,431,556,617, 98, 65,
118,517,200,264,156,406,229,578,243,476,447,297)( 25,652,365, 50,173,
532,627,423,322,613,566, 71, 92,507,122,283,208,394,151,588,217,474,
239,294,464,349)( 26,392,385,596,165,480,629,293,334,353,571,669, 79,
39,121,543,185,420,140,614,228, 58,248,502,460,271)( 27, 43,537,523,
419,426,608,618, 72, 66,508,512,278,286,416,411,593,581,477,473,291,
308,360,363,675,651)( 29,433,530,601,436, 62,612,514, 70,274,520,408,
281,598,399,489,577,295,490,343,311,672,339, 51,667,521)
( 31,303,542,341,441,660,599, 46, 69,534,497,434,270,624,410, 73,586,
503,486,265,312,412,359,597,659,469)( 35,485,525,289,438,348,623,670,
53, 40,511,538,263,442,400,619,592, 61,482,499,304,282,364,415,671,
573)( 36,615,540, 55,430,504,616,280, 78,404,515,590,269,494,395,307,
594,347,493,655,287, 48,355,545,653,417)( 44,277,546,393,437,582,607,
488, 57,300,516,356,285,676,391, 47,589,529,471,421,296,620,358, 77,
664,495)( 52,407,541,575,425,478,603,306, 74,352,519,668,261),
( 1,426,675,549,513,354, 61,130,387,576, 83, 41,396,228,638,147,470,
178,460,527,610, 11,296,671,315,502,250, 53,442,389,550, 97,353,399,
124,647,589,473, 48,448,215,612,141,288,177,330,528,246)
( 2,166,668,523,506, 16, 62,676,367,498, 94, 67,416,384,628, 95,483,
412,462,631,615,479,308,463,319,606,245,287,437,337,554,253,339,425,
129,569,591,343, 35,110,231,586,135, 28,162,226,534,142)
( 3,504,666, 55,520,380, 56,104,379,394, 98,639,407,488,646,459,475,
620,453,293,619,323,294,255,313,424,259,547,435,363,555,123,361,581,
109, 49,578,213, 40,136,210,170,148,522,168, 18,530,662)
( 4, 88,665,393,514,640, 69,494,386,446, 85,613,401,306,645,329,476,
256,443,423,623,557,305,359,321,112,257,573,421, 51,552,227,352,139,
106,179,590,525, 38, 6,218,664,133,496,172, 70,546,376)
( 5, 36,656,211,508,146, 54,182,382,524, 90, 15,400,670,627,511,484,
74,468,371,602, 89,301,411,332,632,251,469,438,467,553,617,349,295,
125,335,580,239, 27,422,233,560,149,340,165,122,543,584)
( 7,608,661,289,515,328, 60,260,365,420,103,561,409,358,633,121,491,
594,447, 33,604,219,300,151,314,164,252,521,428, 25,556,669,341,503,
120, 75,598,369, 30, 84,223,404,150,626,173,486,542,454)
( 8,244,651,419,519,562, 71,364,373,108,101,587,395, 46,630,225,482,
152,444,163,616,531,298, 21,322,658,237,495,432, 77,572,383,342, 87,
119,413,592,629, 43,474,230,456,137,600,167,304,541,324)
( 9,114,673,575,499, 42, 58,234,378,134, 80,171,408,540,636, 17,478,
672,445,501,614, 63,312,385,316, 86,249,391,436,649,563,487,360,451,
111,621,583,291, 47,318,216,248,131,418,181,564,539,350)
( 10,660,653,497,510, 68, 78,390,368, 82, 93,405,410,644,641,485,490,
464,449,605,609,297,307,333,320,242,235,417,441,571,565,357,347,113,
127,595,577, 31, 32,214,222,144,132,158,174,538,532, 12)
( 13,192,663,185,507,198, 65,208,377,186, 91,197,403,202,637,199,481,
204,455,189,611,193,299,203,325,190,247,183,429,207,559,201,351,191,
117,205,585,187, 39,188,221,196,143,184,169,200,533,194)
( 14,140,652,159,512,536, 64, 26,374,654, 81,509,406, 72,650,381,472,
100,457,397,618,635,303,489,334,450,241,599,427,311,567,331,346,243,
105,439,597,551, 45,344,217,118,153,574,161, 44,526,220)
( 19,348,659,107,517,588, 57, 52,370,212, 92,145,392,176,642,537,480,
22,452,657,601,505,302, 73,338,372,238, 79,431,415,566,643,355,477,
126,465,579,603, 37,292,229,326,138,236,157,434,545,558)
( 20,634,667,471,516,458, 59,624,375,290, 99,327,398,254,625,433,493,
568,461,345,607,115,309,593,317, 34,240,209,430,155,548,175,356,529,
116, 23,582,655, 29,500,224, 66,156,366,160, 96,535,402)
( 24,270,674,263,518,276, 76,286,388,264,102,275,414,280,648,277,492,
282,466,267,622,271,310,281,336,268,258,261,440,285,570,279,362,269,
128,283,596,265, 50,266,232,274,154,262,180,278,544,272)(206,273) ]
],
[ 16, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.D_8",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,253,484,115, 76, 28,104,428,443,175, 16,245,492,106, 78, 38, 79,435,
458,167, 24,236,494,116, 53, 45, 94,427,466,158, 26,246,469,123, 68,
37,102,418,468,168)( 2,260,480,105, 71, 42, 89,440,444,182, 12,235,
487,120, 63, 50, 80,442,454,157, 19,250,479,128, 54, 52, 90,417,461,
172, 11,258,470,130, 64, 27, 97,432,453,180)( 3,242,493,108, 62, 46,
91,439,445,164, 25,238,478,124, 65, 49, 81,424,467,160, 10,254,481,
127, 55, 34,103,420,452,176, 13,257,471,112, 77, 30, 88,436,455,179)
( 4,244,488,117, 75, 29, 86,441,446,166, 20,247,491,107, 60, 51, 82,
426,462,169, 23,237,476,129, 56, 36, 98,429,465,159, 8,259,472,114,
72, 39,101,419,450,181)( 5,243,490,121, 66, 32, 99,423,447,165, 22,
251,482,110, 73, 33, 83,425,464,173, 14,240,489,111, 57, 35,100,433,
456,162, 21,241,473,113, 74, 43, 92,422,463,163)( 6,255,475,109, 61,
48, 95,430,448,177, 7,239,477,126, 69, 40, 84,437,449,161, 9,256,
485,118, 58, 47, 85,421,451,178, 17,248,474,125, 59, 31, 87,438,459,
170)( 15,249,483,119, 67, 41, 93,431,457,171)( 18,252,486,122, 70,
44, 96,434,460,174)(131,565,224,505,648,652,364,194,261,409,146,557,
232,496,650,662,339,201,276,401,154,548,234,506,625,669,354,193,284,
392,156,558,209,513,640,661,362,184,286,402)(132,572,220,495,643,666,
349,206,262,416,142,547,227,510,635,674,340,208,272,391,149,562,219,
518,626,676,350,183,279,406,141,570,210,520,636,651,357,198,271,414)
(133,554,233,498,634,670,351,205,263,398,155,550,218,514,637,673,341,
190,285,394,140,566,221,517,627,658,363,186,270,410,143,569,211,502,
649,654,348,202,273,413)(134,556,228,507,647,653,346,207,264,400,150,
559,231,497,632,675,342,192,280,403,153,549,216,519,628,660,358,195,
283,393,138,571,212,504,644,663,361,185,268,415)(135,555,230,511,638,
656,359,189,265,399,152,563,222,500,645,657,343,191,282,407,144,552,
229,501,629,659,360,199,274,396,151,553,213,503,646,667,352,188,281,
397)(136,567,215,499,633,672,355,196,266,411,137,551,217,516,641,664,
344,203,267,395,139,568,225,508,630,671,345,187,269,412,147,560,214,
515,631,655,347,204,277,404)(145,561,223,509,639,665,353,197,275,405)
(148,564,226,512,642,668,356,200,278,408)(287,383,328,609,596,288,390,
324,599,591,302,375,336,600,598,298,365,331,614,583,310,366,338,610,
573,305,380,323,622,574,312,376,313,617,588,297,388,314,624,584)
(289,372,337,602,582,306,377,335,601,580,311,368,322,618,585,309,367,
320,623,576,296,384,325,621,575,294,389,316,608,592,299,387,315,606,
597,290,374,332,611,595)(291,373,334,615,586,292,385,319,603,581,308,
381,326,604,593,293,369,321,620,589,300,370,333,605,577,295,386,329,
612,578,307,371,317,607,594,303,378,318,619,579)(301,379,327,613,587)
(304,382,330,616,590)(521,539,536,531,544,522,546,532)
(523,528,545,524,530,540,533,543)(525,529,542,537,534,526,541,527),
( 1,304, 38, 97,184, 60,541,162)( 2, 70, 47,175,183,294,532, 84)
( 3,512, 50,123,189,476,533,370)( 4,148, 48,279,202,450,536,578)
( 5,564, 52,669,191,632,537,422)( 6, 18, 44, 45,201,190,528,526)
( 7,486, 39,383,185,502,544,110)( 8,538, 32, 19,200, 34,539,188)
( 9,642, 43,435,187,554,546,656)( 10,356, 51,253,193,606,534,214)
( 11,616, 40,227,192,346,545,240)( 12, 96, 28, 71,203,164,521,292)
( 13,382, 29,513,206,112,527,474)( 14,226, 36,357,207,242,531,604)
( 15,408, 49,331,197,398,543,318)( 16,590, 30,149,204,268,540,448)
( 17,434, 31,565,208,658,529,630)( 20,460, 42,591,186,138,542,266)
( 21,174, 27,305,194, 86,522, 58)( 22,278, 46,461,198,580,524,136)
( 23,330, 41,409,205,320,535,396)( 24,122, 33,487,195,372,523,500)
( 25,252, 37,617,196,216,530,344)( 26,668, 35,643,199,424,525,552)
( 53,307,168, 79,288, 64, 99,158)( 54, 73,177,157,287,298, 90, 80)
( 55,515,180,105,293,480, 91,366)( 56,151,178,261,306,454, 94,574)
( 57,567,182,651,295,636, 95,418)( 59,489,169,365,289,506,102,106)
( 61,645,173,417,291,558,104,652)( 62,359,181,235,297,610, 92,210)
( 63,619,170,209,296,350,103,236)( 65,385,159,495,310,116, 85,470)
( 66,229,166,339,311,246, 89,600)( 67,411,179,313,301,402,101,314)
( 68,593,160,131,308,272, 98,444)( 69,437,161,547,312,662, 87,626)
( 72,463,172,573,290,142,100,262)( 74,281,176,443,302,584, 82,132)
( 75,333,171,391,309,324, 93,392)( 76,125,163,469,299,376, 81,496)
( 77,255,167,599,300,220, 88,340)( 78,671,165,625,303,428, 83,548)
(107,501,492,117,371,471,507,388)(108,137,490,273,384,445,510,596)
(109,553,494,663,373,627,511,440)(111,475,481,377,367,497,518,128)
(113,631,485,429,369,549,520,674)(114,345,493,247,375,601,508,232)
(115,605,482,221,374,341,519,258)(118,215,478,351,389,237,505,622)
(119,397,491,325,379,393,517,336)(120,579,472,143,386,263,514,466)
(121,423,473,559,390,653,503,648)(124,449,484,585,368,133,516,284)
(126,267,488,455,380,575,498,154)(127,319,483,403,387,315,509,414)
(129,241,479,611,378,211,504,362)(130,657,477,637,381,419,499,570)
(134,152,282,280,462,458,588,576)(135,568,286,670,451,640,589,420)
(139,646,277,436,447,562,598,654)(140,360,285,254,453,614,586,212)
(141,620,274,228,452,354,597,238)(144,230,270,358,467,250,583,602)
(145,412,283,332,457,406,595,316)(146,594,264,150,464,276,592,446)
(147,438,265,566,468,666,581,628)(153,334,275,410,465,328,587,394)
(155,256,271,618,456,224,582,342)(156,672,269,644,459,432,577,550)
(213,556,364,675,243,635,615,430)(217,634,355,441,239,557,624,664)
(218,348,363,259,245,609,612,222)(219,608,352,233,244,349,623,248)
(223,400,361,337,249,401,621,326)(225,426,343,571,260,661,607,638)
(231,322,353,415,257,323,613,404)(234,660,347,649,251,427,603,560)
(317,561,416,673,321,639,407,439)(327,405,413,335)(329,431,395,569,
338,665,399,647)(421,551,572,676,659,633,641,433)(425,629,563,442,
655,555,650,667) ] ],
[ 17, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.D_8",
[ "L", [ 2, 25 ], 2 ],
[ ( 1, 2, 17, 13, 10, 5, 18, 3)( 4, 7, 19, 15, 16, 8, 26, 24)
( 6, 12, 21, 23, 25, 22, 9, 20)( 27,184,147, 39,192,135, 44,185,131,
28,199,143, 36,187,148, 29,183,132, 43,195,140, 31,200,133)
( 30,189,149, 41,198,138, 52,206,134, 33,201,145, 42,190,156, 50,186,
137, 45,197,146, 34,208,154)( 32,194,151, 49,207,152, 35,202,136, 38,
203,153, 51,204,139, 46,188,142, 47,205,155, 48,191,150)( 37,193,141)
( 40,196,144)( 53,626,589, 65,634,577, 70,627,573, 54,641,585, 62,629,
590, 55,625,574, 69,637,582, 57,642,575)( 56,631,591, 67,640,580, 78,
648,576, 59,643,587, 68,632,598, 76,628,579, 71,639,588, 60,650,596)
( 58,636,593, 75,649,594, 61,644,578, 64,645,595, 77,646,581, 72,630,
584, 73,647,597, 74,633,592)( 63,635,583)( 66,638,586)
( 79, 80, 95, 91, 88, 83, 96, 81)( 82, 85, 97, 93, 94, 86,104,102)
( 84, 90, 99,101,103,100, 87, 98)(105,522,563,117,530,551,122,523,547,
106,537,559,114,525,564,107,521,548,121,533,556,109,538,549)
(108,527,565,119,536,554,130,544,550,111,539,561,120,528,572,128,524,
553,123,535,562,112,546,570)(110,532,567,127,545,568,113,540,552,116,
541,569,129,542,555,124,526,558,125,543,571,126,529,566)(115,531,557)
(118,534,560)(157,496,303,169,504,291,174,497,287,158,511,299,166,499,
304,159,495,288,173,507,296,161,512,289)(160,501,305,171,510,294,182,
518,290,163,513,301,172,502,312,180,498,293,175,509,302,164,520,310)
(162,506,307,179,519,308,165,514,292,168,515,309,181,516,295,176,500,
298,177,517,311,178,503,306)(167,505,297)(170,508,300)
(209,236,667,221,244,655,226,237,651,210,251,663,218,239,668,211,235,
652,225,247,660,213,252,653)(212,241,669,223,250,658,234,258,654,215,
253,665,224,242,676,232,238,657,227,249,666,216,260,674)
(214,246,671,231,259,672,217,254,656,220,255,673,233,256,659,228,240,
662,229,257,675,230,243,670)(219,245,661)(222,248,664)
(261,600,485,273,608,473,278,601,469,262,615,481,270,603,486,263,599,
470,277,611,478,265,616,471)(264,605,487,275,614,476,286,622,472,267,
617,483,276,606,494,284,602,475,279,613,484,268,624,492)
(266,610,489,283,623,490,269,618,474,272,619,491,285,620,477,280,604,
480,281,621,493,282,607,488)(271,609,479)(274,612,482)
(313,418,407,325,426,395,330,419,391,314,433,403,322,421,408,315,417,
392,329,429,400,317,434,393)(316,423,409,327,432,398,338,440,394,319,
435,405,328,424,416,336,420,397,331,431,406,320,442,414)
(318,428,411,335,441,412,321,436,396,324,437,413,337,438,399,332,422,
402,333,439,415,334,425,410)(323,427,401)(326,430,404)
(339,444,381,351,452,369,356,445,365,340,459,377,348,447,382,341,443,
366,355,455,374,343,460,367)(342,449,383,353,458,372,364,466,368,345,
461,379,354,450,390,362,446,371,357,457,380,346,468,388)
(344,454,385,361,467,386,347,462,370,350,463,387,363,464,373,358,448,
376,359,465,389,360,451,384)(349,453,375)(352,456,378),
( 1,235,245, 37, 48,594,579,475,487,227,229,645,648,284,286,442,428,
116,127,413,398,372,382, 18)( 2,183,251, 89, 41,464,581,527,482,305,
233,567,640,362,263,182,436,662,109,153,400,320,368,616)
( 3,157,254,661, 31,152,582,319,472,617,210,203,641,102,275,468,425,
532,118,309,415,554,380,356)( 4,599,236,193, 43,100,587,449,477,539,
222,307,649,570,276,364,419,168,124,673,395,138,374,330)
( 5,131,244,323, 30,620,574,189,485, 97,223,463,633,544,274,312,441,
558,120,361,393,164,384,668)( 6, 53,247,505, 32, 74,585,501,474, 71,
221,515,630, 76,273,520,422, 64,117,517,396, 60,377,512)
( 7,469,253,219, 47,646,596,267,494,435,220,125,647,414,268,390,434,
12,105,257,401, 34,386,590)( 8,365,252, 11, 27,256,583, 33,490,591,
215,489,643,232,281,650,440,272,130,439,402,112,387,408)
( 9,521,248,297, 51,568,588,345,471,175,228,671,629,154,270,338,420,
610,106,205,407, 86,379,460)( 10,313,238,609, 28,204,589, 85,483,461,
217,541,638,310,285,572,432,350,107,179,410,658,369,148)
( 13,495,240, 63, 39,516,578, 59,481,513,214, 73,637,518,266, 78,429,
506,110, 75,403,502,370, 70)( 14,287,259,557, 42,360,575,163,488,669,
213,151,634,336,264,624,418,194,121,101,405,450,373,538)
( 15,443,243,531, 40,308,597,553,484,357,211,177,644,674,265,156,426,
324,108,621,392,190,381, 96)( 16,339,237,167, 46,672,577,137,478,331,
212,619,626,206,277,104,431,454,113,543,404,294,389,564)
( 17, 79,249,453, 35,542,586,293,493,565,224,359,627,180,280,676,421,
142,114,335,394,606,366,200)( 19,209,255,635, 50,282,598,423,480,123,
231,411,632,388,278, 26,417,246,115, 49,412,580,371,486)
( 20,651,239,141, 36,334,576,605,470,201,225, 99,639,466,269,546,430,
298,129,569,406,346,367,174)( 21,625,258,271, 52,438,584,111,491,409,
216,385,642, 24,261,260,427, 38,126,595,397,476,383,226)
( 22,573,241,479, 45,230,593,631,492,279,234,437,636,128,283,416,424,
376,122, 23,391,242,375, 44)( 25,547,250,349, 29,178,592,657,473,149,
218,333,628,622,262,208,433, 90,119,465,399,528,378,304)
( 54,195,511, 84, 67,455,503,526, 66,299,519,552, 68,351,497,162, 72,
663,499,136, 62,325,498,604)( 55,169,514,656, 57,143,504,318, 56,611,
496,188, 69, 91,509,448, 61,533,508,292, 77,559,510,344)
( 58, 65,507,500)( 80,197,459, 87,535,456,295,545,560,302,363,549,172,
358,653,161,150,660,317,134,608,314,186,615)( 81,171,462,659,525,144,
296,337,550,614,340,185,173, 98,665,447,139,530,326,290,623,548,198,
355)( 82,613,444,191,537, 92,301,467,555,536,352,289,181,566,666,343,
133,166,332,654,603,132,192,329)( 83,145,452,321,524,612,288,207,563,
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( 88,327,446,607,522,196,303,103,561,458,347,523,170,306,675,551,146,
348,315,160,618,652,187,147)( 93,457,451,529,534,300,311,571,562,354,
341,159,176,670,655,135,140,322,316,602,600,184,199, 95) ] ],
[ 18, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PSL(2, 25)^2.(2 x 4)", [ "L", [ 2, 25 ], 2 ],
[ ( 1,380,477,317,643,184, 56, 3,536,469,369,633,314, 71,185,524)
( 2, 68,471,525,625,366, 61,315,539,183,368, 9,328,487,187,628)
( 4, 16,484,473,629,626, 54, 55,523,521,365,373,321,331,201,186)
( 5,640,470, 57,627,522, 53,367,529,313,383,191,316, 19,198,472)
( 6,224,489,135,644,340, 76, 81,542,495,372,451,322,175,200,238)
( 7,406,494,603,637, 28, 75,263,531,287,379,425,324,591,196,550)
( 8,458,478,161,642,236, 58,211,541,131,384,347,336, 97,204,498)
( 10,172,486,239,630,210, 73,133,540,339,388, 87,334,513,190,446)
( 11,302,483,421,636,574, 66,549,527,391,390,607,325, 45,205,264)
( 12,588,482,551,631,392, 78,601,533, 27,387,269,323,305,197,420)
( 13, 42,491,265,635,288, 67,419,532,573,378,555,319,409,208,602)
( 14,562,475,395,650,600, 65, 29,543,261,375,295,327,435,194,576)
( 15,432,480,577,638,548, 59,393,546,599,377, 35,335,279,193,290)
( 17,666,485,655,641,652, 69,653,537,651,381,659,329,669,199,654)
( 18,250,474,213,645,132, 72,341,544, 79,386,503,320,461,192,160)
( 20,354,492, 83,646,496, 60,445,530,157,382,243,318,227,203,134)
( 21,146,488,343,648, 80, 74,497,528,443,374,165,330,253,188,212)
( 22,510,476,447,634,158, 70,237,526,209,385,139,332,357,206, 82)
( 23,276,479,291,639,418, 64,575,534,547,371,399,338,617,195, 30)
( 24, 94,490,499,632,444, 62,159,538,235,370,217,333,149,202,342)
( 25,120,493,109,649,106, 77,107,545,105,389,113,337,123,207,108)
( 26,614,481, 31,647,262, 63,289,535,417,376,581,326,565,189,394)
( 32,231,281,141,306,353,440, 90,594,508,554,449,400,182,616,247)
( 33,413,286,609,299, 41,439,272,583,300,561,423,402,598,612,559)
( 34,465,270,167,304,249,422,220,593,144,566,345,414,104,620,507)
( 36,179,278,245,292,223,437,142,592,352,570, 85,412,520,606,455)
( 37,309,275,427,298,587,430,558,579,404,572,605,403, 52,621,273)
( 38,595,274,557,293,405,442,610,585, 40,569,267,401,312,613,429)
( 39, 49,283,271,297,301,431,428,584,586,560,553,397,416,624,611)
( 43,673,277,661,303,665,433,662,589,664,563,657,407,676,615,663)
( 44,257,266,219,307,145,436,350,596, 92,568,501,398,468,608,169)
( 46,361,284, 89,308,509,424,454,582,170,564,241,396,234,619,143)
( 47,153,280,349,310, 93,438,506,580,456,556,163,408,260,604,221)
( 48,517,268,453,296,171,434,246,578,222,567,137,410,364,622, 91)
( 50,101,282,505,294,457,426,168,590,248,552,215,411,156,618,351)
( 51,127,285,115,311,119,441,116,597,118,571,111,415,130,623,117)
( 84,230,515,138,462,348,180, 96,256,500,216,463,140,176,356,258)
( 86,464,504,164,460,244,162,226,255,136,228,359,154, 98,360,518)
( 88,178,512,242,448,218,177,148,254,344,232, 99,152,514,346,466)
( 95,672,511,658,459,660,173,668,251,656,225,671,147,670,355,674)
(100,516,502,450,452,166,174,252,240,214,229,151,150,358,362,102)
(103,126,519,112,467,114,181,122,259,110,233,125,155,124,363,128)
(121,675), ( 1, 73,465,105, 63,205,124,271,201,358,263,409,345, 3,
411,449)( 2,567,468, 27, 76,153,114,323,207,436,264,591,353,237,408,
215)( 4,593,457,235, 70,231,106,557,208, 46,284,149,348,315,415,423)
( 5,515,447,495, 57,517,109,505,187,514,265,513,343,497,395,501)
( 6,645,448,625, 58,647,110,635,188,644,266,643,344,627,396,631)
( 7, 21,463,443, 53, 75,127,115,193,202,280,279,357,341,393,397)
( 8,385,454, 79, 69,179,117,661,196,540,269,617,354,471,412,293)
( 9,619,458,469, 74,309,112,375,194, 98,277,175,351,653,404,527)
( 10,333,467,417, 56,595,119,245,200,228,262,565,364, 29,414,137)
( 11,203,462,261, 71,361,107,401,189, 20,281,461,339, 55,413,111)
( 12, 99,459,157, 65,673,118,531,191,618,276,487,360,289,398,371)
( 13,671,456,521, 61,621,120,479,204,306,268,383,350, 81,407,163)
( 14,541,451,599, 68,491,126,297,190,384,272, 97,355,159,403,657)
( 15,255,460,209, 54,569,130, 37,206,150,270,331,363,419,394,579)
( 16,489,464,287, 60,387,116, 89,199,176,273,669,352,523,399,605)
( 17,177,455,651, 66,543,113,609,198,488,282,305,346,367,402, 85)
( 18,229,444,547, 78, 49,128,141,192,332,285,435,342,575,405,241)
( 19,359,445,391, 59, 23,125,453,183, 72,283,123,349,185,410,267)
( 22,307,450,365, 64,101,121,167,195,670,274,539,347,601,406,475)
( 24,151,452,313, 77,439,108,583,197,254,278,227,340,549,416, 33)
( 25,437,446,573, 67,257,122,219,184,566,286, 45,362,133,400,319)
( 26, 47,466,131, 62,335,129,427,186,592,275,253,356,211,392,553)
( 28,570,156, 36,336,155,426,316,597,431,238,590,223,236,564,234)
( 30,596,145,244,330,233,418,550,598, 41,258,148,218,314,571,442)
( 31,518,135,504,317,519,421,498,577,509,239,512,213,496,551,520)
( 32,648,136,634,318,649,422,628,578,639,240,642,214,626,552,650)
( 34,388,142, 88,329,181,429,654,586,535,243,616,224,470,568,312)
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( 38,102,147,166,325,675,430,524,581,613,250,486,230,288,554,390)
( 39,674,144,530,321,623,432,472,594,301,242,382,220, 80,563,182)
( 40,544,139,608,328,493,438,290,580,379,246, 96,225,158,559,676)
( 42,492,152,296,320,389,428, 82,589,171,247,668,222,522,555,624)
( 43,180,143,660,326,545,425,602,588,483,256,304,216,366,558,104)
( 44,232,132,556,338, 51,440,134,582,327,259,434,212,574,561,260)
( 48,310,138,374,324,103,433,160,585,665,248,538,217,600,562,494)
( 50,154,140,322,337,441,420,576,587,249,252,226,210,548,572, 52)
( 83,511,161,507,655,508,525,503,603,510,473,516,291,502,369,506)
( 84,641,162,637,656,638,526,633,604,640,474,646,292,632,370,636)
( 86,381,168, 91,667,170,533,659,612,536,477,620,302,476,386,298)
( 87,615,172,481,672,300,528,373,610, 94,485,178,299,658,378,532)
( 90, 95,173,169,663,664,534,529,607,614,484,490,308,294,372,376)
( 92,537,165,611,666,482,542,295,606,380,480,100,303,164,377,662)
(500,629) ] ],
[ 19, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.D_8",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,321,123,384,264, 51, 21,555,107,202,278,441)( 2,477,127,150,273,181)
( 3,191,122,436,261,337, 19,373,108, 46,281,571)( 4, 35,125,566,263,
207, 18,425,105,332,279,389)( 5,451,114,670,268,597, 26,503,110, 72,
275,103)( 6, 61,119, 98,265,467, 10,659,112,592,286,519)
( 7,633,121,228,272,623, 14,399,126,306,276,363)( 8,581,130,514,266,
77, 15, 87,109,462,270,675)( 9,113,124,280,285, 25)( 11,243,128,540,
271,259, 24,529,115,254,284,545)( 12,607,118,410,282,311, 16,347,111,
644,277,233)( 13,165,106,488,283,155)( 17,217,116,618,274,415, 22,
295,120,358,267,649)( 20,269,129)( 23,139,117,176,262,493)
( 27,333,565,367,186, 44,437,547,315,201,382,420)( 28,489,569,133,195,
174,418,469,335,149,377,160)( 29,203,564,419,183,330,435,365,316, 45,
385,550)( 30, 47,567,549,185,200,434,417,313,331,383,368)
( 31,463,556,653,190,590,442,495,318, 71,379, 82)( 32, 73,561, 81,187,
460,426,651,320,591,390,498)( 33,645,563,211,194,616,430,391,334,305,
380,342)( 34,593,572,497,188, 70,431, 79,317,461,374,654)
( 36,671,554,575,208,512,422, 53,327, 97,369,446)( 37,255,570,523,193,
252,440,521,323,253,388,524)( 38,619,560,393,204,304,432,339,319,643,
381,212)( 39,177,548,471,205,148,429,157,314,487,387,134)
( 40,411,568,289,198,356,423,625,329,227,376,602)( 41, 99,551,445,192,
668,424,573,338,513,370, 56)( 42,359,553,627,199,226,428,599,326,409,
386,290)( 43,229,558,601,196,408,438,287,328,357,371,628)
( 48,307,562,341,189,642,433,209,324,617,378,394)( 49,151,559,159,184,
486,439,131,325,175,366,472)( 50,541,557,237,206,538,427,235,336,539,
375,238)( 52,515,552, 55,197, 96,421,443,322,669,372,576)
( 54,483,101,135,455,166,652,476,595,156,507,162)( 57,457, 88,655,450,
582,676,502,578, 78,509, 84)( 58, 67, 93, 83,447,452,660,658,580,598,
520,500)( 59,639, 95,213,454,608,664,398,594,312,510,344)
( 60,587,104,499,448, 62,665, 86,577,468,504,656)( 63,249,102,525,453,
244,674,528,583,260,518,526)( 64,613, 92,395,464,296,666,346,579,650,
511,214)( 65,171, 80,473,465,140,663,164,574,494,517,136)
( 66,405,100,291,458,348,657,632,589,234,506,604)( 68,353, 85,629,459,
218,662,606,586,416,516,292)( 69,223, 90,603,456,400,672,294,588,364,
501,630)( 74,301, 94,343,449,634,667,216,584,624,508,396)
( 75,145, 91,161,444,478,673,138,585,182,496,474)( 76,535, 89,239,466,
530,661,242,596,546,505,240)(132,481,179)(137,637,173,210,480,621,
144,403,178,288,484,361)(141,247,180,522,479,257,154,533,167,236,492,
543)(142,611,170,392,490,309,146,351,163,626,485,231)
(143,169,158,470,491,153)(147,221,168,600,482,413,152,299,172,340,475,
647)(215,636,615,222,402,620,300,406,360,293,640,355)
(219,246,622,534,401,256,310,536,349,241,648,537)(220,610,612,404,412,
308,302,354,345,631,641,225)(224,350,605,638,407,230,298,614,352,397,
646,303)(232,532,609,248,414,542,297,250,362,527,635,251)
(245,258,544,531), ( 1,171,476, 39,120,236,518,411,603,297,442,446,
348,669,283,537, 81,382,191,150,594,558,214,326)( 2,509,489,611,115,
418,498,359,617,271,433, 82,356,201,280,589, 90,226,196, 20,587,480,
221,118)( 3,379,477,143,126,548,500,333,599,167,424, 30,354,253,284,
407, 83,304,208,462,582,662,231,534)( 4,353,487,273,121, 80,512,203,
618,583,428,212,352, 19,275,485, 91,122,184,514,593,610,219,430)
( 5,301,494,455,114,652,517,541,601,375,425,134,360,565,266,329, 79,
174,190, 46,588,246,232,404)( 6,327,469,169,112, 28,510,255,622,401,
421,290,364,461,270,667,101,538,185,384,581,142,230,560)
( 7,639,475,637,111,626,501,645,605,635,423,628,345,643,267,641, 85,
642,189,644,579,636,215,638)( 8, 41,484,247,128,392,499,307,624,453,
426,654,361,539,263,381, 87,148,204,566,578,324,209,170)
( 9,145,490,559,110,314,495,177,606, 37,432,238,362,409,265,303,104,
460,192,670,595,532,211,378)( 10,665,491,533,107,366,503,151,620,557,
422,316,339,175,268, 43, 94,252,206,410,577,298,234,456)
( 11,431,472,351,123,262,511, 99,616,193,436,576,350,227,274, 17, 93,
486,195,124,574,506,229,612)( 12,223,482, 13,119,470,507,125,600,505,
437,602,349,435,264,355, 97,278,199, 98,590,194,228,586)
( 14, 15,483,481,117,106,496,515,619,609,427,420,342,357,279,277, 95,
96,200,202,592,584,220,222)( 16,249,492,403,109,288,520,463,608,661,
439,524,341,383,269,147,100,564,188,332,573,168,216, 40)
( 18,197,488,585,116,210,508, 21,613,479,429,108,340,513,281,615, 89,
434,186,358,591,272,225, 92)( 22,561,474,325,105,158,502, 47,614,245,
440,394,343,305,286,459, 88,668,205,540,575,376,217,144)
( 23,535,471,377,113,132,516,567,604,323,417,160,346, 45,276,251,102,
408,187,306,598,454,218,664)( 24,405,473,299,130,444,504,671,621,531,
419,368,347,149,282,563, 84,330,183,176,580, 38,224,248)
( 25, 67,493, 65,129, 54,519, 73,623, 63,441, 56,363, 71,285, 69,103,
70,207, 72,597, 64,233, 66)( 26,457,478,663,127,522,497,385,607,141,
438,550,344,331,261,173, 86, 44,198,254,596,402,213,300)
( 27,172,242, 50,406,239,310,416,447,296,676,465,530,653,387,529,133,
386,555,136,334,547,162,320)( 29,380,243,154,412,551,292,338,443,166,
658, 49,536,237,388,399,135,308,572,448,322,651,179,528)
( 31,302,260,466,400,655,309,546,445,374,659,153,542,549,370,321,131,
178,554, 32,328,235,180,398)( 33,640,241,648,397,629,293,650,449,634,
657,647,527,627,371,633,137,646,553,630,319,625,163,632)
( 34, 42,250,258,414,395,291,312,468,452,660,673,543,523,367,373,139,
152,568,552,318,313,157,164)( 35,146,256,570,396,317,287,182,450, 36,
666,257,544,393,369,295,156,464,556,656,335,521,159,372)
( 48,562,240,336,391,161,294, 52,458,244,674,413,525,289,390,451,140,
672,569,526,315,365,165,138)( 51, 68,259, 76,415, 57,311, 78,467, 62,
675, 75,545, 55,389, 61,155, 74,571, 58,337, 53,181, 60)( 59,649) ]
],
[ 20, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PSL(2, 25)^2.(2 x 4)", [ "L", [ 2, 25 ], 2 ],
[ ( 1,372,626,123,468,576,656,211)( 2,112,650,591,448,212,651,367)
( 3, 8,632,643,461,446,654,653)( 4,658,627, 19,450,628,669,445)
( 5,138,637,487,460,602,674,315)( 6,216,625,383,444,108,676,575)
( 7,424,634,201,459,342,659, 29)( 9, 34,631,435,452,186,667,341)
( 10,190,641,357,451, 30,657,419)( 11,164,636, 71,462, 82,673,497)
( 12, 60,644, 97,465,498,661,159)( 13,476,642,617,466,316,655,133)
( 14,268,638,279,456,264,664,263)( 15,294,649,565,463,394,666,523)
( 16,528,639,305,467,550,671,393)( 17,346,633, 45,449,420,660,185)
( 18,606,648,331,447,134,663,471)( 20, 86,647,513,453,160,662, 55)
( 21,398,640,539,457,290,675,549)( 22,242,646,253,464,238,672,237)
( 23,502,635,175,454, 56,670, 81)( 24,320,629,149,455,472,668,601)
( 25,554,645,409,458,524,665,289)( 26,580,630,227,443,368,652,107)
( 27,371,418,114,208,589,344,217)( 28,111,442,582,188,225,339,373)
( 31,137,429,478,200,615,362,321)( 32,215,417,374,184,121,364,581)
( 33,423,426,192,199,355,347, 35)( 36,189,433,348,191, 43,345,425)
( 37,163,428, 62,202, 95,361,503)( 38, 59,436, 88,205,511,349,165)
( 39,475,434,608,206,329,343,139)( 40,267,430,270,196,277,352,269)
( 41,293,441,556,203,407,354,529)( 42,527,431,296,207,563,359,399)
( 44,605,440,322,187,147,351,477)( 46, 85,439,504,193,173,350, 61)
( 47,397,432,530,197,303,363,555)( 48,241,438,244,204,251,360,243)
( 49,501,427,166,194, 69,358, 87)( 50,319,421,140,195,485,356,607)
( 51,553,437,400,198,537,353,295)( 52,579,422,218,183,381,340,113)
( 53,384, 80,127,520,583,162,220)( 54,124,104,595,500,219,157,376)
( 57,150, 91,491,512,609,180,324)( 58,228, 79,387,496,115,182,584)
( 63,176, 90, 75,514, 89,179,506)( 64, 72, 98,101,517,505,167,168)
( 65,488, 96,621,518,323,161,142)( 66,280, 92,283,508,271,170,272)
( 67,306,103,569,515,401,172,532)( 68,540, 93,309,519,557,177,402)
( 70,618,102,335,499,141,169,480)( 73,410, 94,543,509,297,181,558)
( 74,254,100,257,516,245,178,246)( 76,332, 83,153,507,479,174,610)
( 77,566, 99,413,510,531,171,298)( 78,592, 84,231,495,375,158,116)
(105,390,574,110,234,573,370,210)(106,130,598,578,214,209,365,366)
(109,156,585,474,226,599,388,314)(117,494,590,604,232,313,369,132)
(118,286,586,266,222,261,378,262)(119,312,597,552,229,391,380,522)
(120,546,587,292,233,547,385,392)(122,624,596,318,213,131,377,470)
(125,416,588,526,223,287,389,548)(126,260,594,240,230,235,386,236)
(128,338,577,136,221,469,382,600)(129,572,593,396,224,521,379,288)
(135,143,481,486,616,622,336,317)(144,273,482,278,612,284,326,265)
(145,299,493,564,619,414,328,525)(146,533,483,304,623,570,333,395)
(148,611,492,330,603,154,325,473)(151,403,484,538,613,310,337,551)
(152,247,490,252,620,258,334,239)(155,559,489,408,614,544,327,291)
(248,282)(249,308,259,568,255,412,250,542)(275,300,285,560,281,404,
276,534)(301,311,571,567,411,406,536,535)(302,545,561,307,415,562,
541,405), ( 1,129,568,588,520,246,193,351,489,600, 87, 43,461,382,
394,170,268,655,315,215,530,136,431, 76,644,309)( 2,113,563,591,512,
238,196,346,473,601, 85, 36,448,379,414,176,283,651,337,230,536,156,
428, 63,637,307)( 3,111,556,578,509,258,202,361,469,623,100, 42,468,
376,401,169,281,652,321,225,539,148,420, 66,632,291)( 4,118,554,577,
497,241,192,344,483,622, 98, 49,443,389,412,172,286,662,323,221,541,
132,425, 69,643,304)( 5,107,553,582,500,249,206,358,491,599,103, 48,
458,390,402,167,273,671,314,217,537,149,434, 56,638,294)
( 6,119,570,592,517,235,207,360,484,624, 90, 37,455,385,392,165,277,
669,330,212,534,138,421, 55,631,296)( 7,114,552,587,518,254,205,339,
493,620, 94, 52,454,375,403,177,262,659,329,227,538,134,430, 60,629,
289)( 8,109,549,579,504,240,197,362,488,621, 79, 51,464,380,416,168,
271,663,333,210,529,147,435, 70,628,300)( 9,121,565,590,498,248,190,
343,471,605, 88, 32,457,388,410,179,261,675,334,224,546,142,427, 65,
645,288)( 10,110,561,596,514,257,183,363,490,614,104, 38,453,377,411,
158,269,667,331,226,524,144,424, 57,627,293)( 11,117,567,574,503,251,
201,356,472,612, 86, 31,445,371,400,162,275,674,332,231,521,155,438,
68,650,298)( 12,115,559,593,496,243,199,357,486,602, 92, 34,447,367,
397,166,266,665,336,228,543,131,441, 74,640,312)( 13,125,548,581,511,
253,200,342,482,606, 83, 29,449,374,396,171,284,670,335,209,545,152,
432, 78,636,297)( 14,112,551,575,501,244,188,353,492,618,101, 27,467,
386,406,182,272,661,325,229,522,139,433, 71,642,290)( 15,128,566,595,
495,259,204,354,494,610, 89, 39,463,366,399,173,279,668,316,222,528,
135,419, 59,634,292)( 16,130,558,583,507,255,184,347,485,617, 96, 30,
456,372,395,159,267,660,318,223,544,150,439, 53,649,308)
( 17,123,564,576,508,242,187,341,475,608, 84, 41,466,384,413,157,285,
672,328,234,532,141,429, 73,626,295)( 18,108,560,580,499,237,189,348,
474,613,102, 46,465,365,415,178,276,676,324,219,533,151,418, 61,641,
305)( 19,122,550,586,502,239,185,345,478,604, 93, 50,462,387,391,181,
282,666,338,220,531,143,437, 54,633,303)( 20,127,547,597,516,250,208,
350,479,611, 99, 28,451,381,409,174,264,664,320,213,523,137,426, 58,
639,310)( 21,106,555,589,513,252,186,352,476,603, 81, 33,452,370,405,
180,280,673,313,233,542,146,442, 64,635,299)( 22,120,572,584,505,247,
203,340,477,615, 97, 44,446,378,398,161,263,657,322,214,535,154,436,
75,625,311)( 23,105,571,594,510,260,194,349,481,619, 80, 35,459,383,
408,160,274,658,317,211,527,140,422, 67,648,306)( 24,124,569,573,519,
256,198,364,480,609, 91, 47,444,373,407,175,278,654,326,216,525,133,
423, 62,630,301)( 25,126,562,598,506,245,195,359,470,607, 95, 45,460,
368,404,164,265,653,319,218,526,145,440, 72,647,287)( 26,116,557,585,
515,236,191,355,487,616, 82, 40,450,369,393,163,270,656,327,232,540,
153,417, 77,646,302) ] ],
[ 21, 486720000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PSL(2, 25)^2.(2 x 4)", [ "L", [ 2, 25 ], 2 ],
[ ( 1,429,675,462,316,178,231,348, 97,529,304,239, 58,284,554,575,119,131,
432,649,449,394,173,621,352,487,531,382,255, 32,272, 8,585,665,150,
328,646,215,400, 95,607,300,473, 63,388,567, 29,116)( 2,195,652,202,
314,204,210,192, 80,191,288,187, 54,206,548,185,106,183,418,207,444,
186,158,205,340,201,522,200,236,188,262,190,574,197,132,198,626,189,
392,199,600,196,470,193,366,203, 28,194)( 3,117,651,436,337,464,212,
166,101,347,305,525, 70,258,552,263,112,573,431,155,458,628,163,413,
355,617,534,486,245,370,281, 34,584, 15,143,666,644,319,412,225,608,
92,477,297,369, 73, 50,558)( 4,169,673,358,331,542,226,244, 84,269,
294,577, 67,154,562,627,111,391,433,623,456,472,167,387,359, 45,532,
18,247,656,280,320,594,223,140, 94,633,293,395, 69,622,560,471,115,
365,437, 51,454)( 5, 65,674,566,315,126,209,426,103,451,290,161, 75,
362,565,523,122,235,422,285,450,576,171,153,354,643,527,408,251,604,
274,476,583,379,151, 42,636, 7,403,667,618,326,490,219,374, 99, 35,
298)( 6,273,658,592,327,152,224,634, 85,399,303,603, 66,492,557,367,
125, 27,428, 25,455,654,176,335,360,227,530, 96,243,292,265, 60,596,
561,133,120,625,423,415,459,602,170,491,349,383,541, 44,246)
( 9,299,655, 72,336,568,211,114, 79,425,311,447, 56,180,569,341,123,
521,434,259,448,264,164,595,353,149,536,642,241,396,277,606,586,483,
141,380,645, 33,402, 17,611,664,488,323,386,229, 36, 90)
( 10, 91,659,306,317, 74,232,556, 81,113,287,421, 77,466,550,159,127,
339,435,545,460,238,162,283,346,591,535,148,250,630,267,398,589,613,
144,484,635,371,411, 43,610, 14,481,661,384,333, 48,220)
( 11,377,671, 46,324, 22,221,660, 98,321,308,213, 62,102,555,289,109,
53,440,571,445,108,157,439,363,461,524,174,257,344,279,528,590,249,
136,276,632,579,405,147,614,638,475,401,381,619, 40,480)
( 12, 13,663,670,332,334,230,218, 88, 87,295,291, 57, 76,570,549,107,
105,417,441,467,446,160,179,361,357,539,538,252,240,266,268,580,587,
145,146,640,631,397,407,615,612,482,479,375,385, 47, 38)
( 16,637,657,410,329,620,222,478, 89,373,307, 31, 64, 24,559,653,124,
313,438,233,452, 82,165,309,343, 71,544,564,237,110,261,424,597,457,
134,172,647,345,409,537,616,248,474,271,372,593, 41,142)
( 19,533,668,254,318,282,216,582, 93,139,302,629, 59,414,563,601,118,
469,427,389,463, 30,168, 23,351,669,540,330,256,214,270, 86,581,301,
135, 68,648,553,393,121,599,430,493,453,368,177, 49,350)
( 20,325,672,228,322,100,217,296, 83, 61,310,551, 55,128,547,419,129,
443,420,181,465,342,175,543,356,253,526,278,242,578,275,138,588,639,
137,406,641,605,404,485,609,378,489, 37,376, 21, 39,662)
( 26,507,676,514,338,516,234,504,104,503,312,499, 78,518,572,497,130,
495,442,519,468,498,182,517,364,513,546,512,260,500,286,502,598,509,
156,510,650,501,416,511,624,508,494,505,390,515, 52,506)(208,496),
( 1, 62,320,434,553, 43,665,154,279,384,630, 22,530,314,486,572,459,
661,596,281,618,640,204,529,340,472,520,456, 89,597,125,621,250,185,
217,343,160,495, 66, 86,441,111, 49,249,133,227,369,162)
( 2,478,338,460,557,589,671,622,276,202,633,360,524,496,482,104,467,
115,595,255,601,224,187,165,339, 56,502,430, 85, 51,119,153,253,367,
214, 5,166,313, 70,554,433,657, 50,275,150,643,386,526)
( 3,218,317,174,547, 69,658,440,267, 46,639,152,539,366,474, 26,452,
323,590,567,615,666,206,269,358,628,516,534, 80,493,130,465,245,575,
229,603,172,183, 61,346,420,501, 40, 93,155,123,387,240)
( 4,504,326, 96,571,121,673,258,263,228,629,178,521, 54,476,442,449,
37,587,151,617,380,188, 9,348,316,512,560, 95,675,128,283,254,627,
230,525,158,469, 78,450,427,579, 47,613,146,201,373,344)
( 6, 10,322,330,564,563,667,674,284,280,644,646,542,522,470,494,468,
453,583,593,619,614,198,191,347,342,498,508, 92,103,129,127,257,237,
211,213,161,157, 53, 60,424,423, 33, 41,145,149,383,370)
( 7, 36,327,148,565,381,656, 24,270,332,642,568,537,652,492,286,462,
635,594,541,600,484,208,451,349,576,515,612, 94,207,113,361,238,497,
222, 83,181,105, 75,242,419,215, 31,171,131, 71,372,422)
( 8,426,319, 44,561,147,669,388,266, 20,634,334,538,548,485,676,466,
271,592,645,620,536,184,477,364,446,505,586, 99,623,120,205,243,341,
212,499,170, 79, 77,112,439,241, 29,223,135,175,365, 58)
( 11,582,333,616,562,199,659,362,264,514,638,100,545,106,491,260,445,
219,577,177,599, 68,190,425,345, 30,509,144, 97,389,110, 23,244,315,
226,551,173,651, 76,268,436,631, 48,535,132,487,390,448)
( 12,400,324,408,558,407,662,414,272,410,636,412,532,392,480,416,454,
401,584,411,610,406,194,399,350,394,506,404, 90,415,116,413,246,393,
220,395,168,391, 64,398,428,397, 38,405,142,409,376,396)
( 13,296,325,304,559,303,663,310,273,306,637,308,533,288,481,312,455,
297,585,307,611,302,195,295,351,290,507,300, 91,311,117,309,247,289,
221,291,169,287, 65,294,429,293, 39,301,143,305,377,292)
( 14, 88,337,122,569,251,653,232,265,176,625, 74,528,418,475, 52,457,
141,591,385,604, 16,192,321,356,550,511,664,102,285,124,647,256,523,
210,473,182,443, 63,580,437,605, 42,197,139,357,368,500)
( 15,140,331,382,552, 17,660,336,278,566,641,672,544,262,488,650,464,
531,574,489,624,458,193,581,359,602,510,196, 87,363,108,517,248, 81,
233,109,179,235, 55,216,421,163, 27, 67,138,435,371, 32)
( 18,556,329,668,570,277,670,648,282,540,626,490,546,444,479,598,463,
609,588,203,607,354,186,503,352, 82,519,118,101,259,107,231,239,159,
209, 57,164,417, 59, 34,431,137, 45,379,136, 19,374,318)
( 21,608,328,200,555,355,654,518,274, 98,649,126,543,236,471,234,447,
167,573, 73,606,432,189, 35,353,134,513,378, 84, 25,114,335,252,549,
225,655,180,261, 72,632,438,527, 28,483,156,461,375,578)(298,403) ]
],
[ 22, 973440000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.2^2:4",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,382, 50,230,151,549,193,499)( 2, 70, 28, 74,132, 55,184, 57)
( 3,200, 31, 22,148, 29,204,135)( 4,330, 43,412,149,419,208, 83)
( 5, 18, 44, 48,152,133,185,187)( 6,304, 42,542,137,107,197,655)
( 7,122, 41,672,136,289,198,525)( 8,174, 36,256,142,445,196,343)
( 9,590, 49,490,155,263,195,629)( 10,252, 38,464,144,341,190,161)
( 11,512, 27,386,154,211,203,551)( 12,460, 40,360,138,159,192,239)
( 13,642, 35,594,153,471,207,265)( 14,356, 34,178,140,237,194,447)
( 15,668, 32,308,146,523,189,109)( 16,538, 33,126,145,653,188,291)
( 17,408, 45,438,156, 81,186,317)( 19,434, 52,100,134,315,199,395)
( 20,616, 46,620,150,601,202,603)( 21,564, 37,516,131,367,206,213)
( 23,486, 51,282,143,627,191,577)( 24,226, 47,568,141,497,183,369)
( 25,278, 39,646,139,575,205,473)( 26, 96, 30,334,147,393,201,421)
( 53,366, 76,210, 73,548, 63,496)( 56,314, 69,392, 71,418, 78, 80)
( 58,288, 68,522, 59,106, 67,652)( 60,158, 62,236, 64,444, 66,340)
( 61,574, 75,470, 77,262, 65,626)( 72,600)( 79,368,336,225,411,565,
427,520)( 82,316,329,407,409,435,442,104)( 84,290,328,537,397,123,
431,676)( 85,108,327,667,396,305,432,546)( 86,160,322,251,402,461,
430,364)( 87,576,335,485,415,279,429,650)( 88,238,324,459,404,357,
424,182)( 89,498,313,381,414,227,437,572)( 90,446,326,355,398,175,
426,260)( 91,628,321,589,413,487,441,286)( 92,342,320,173,400,253,
428,468)( 93,654,318,303,406,539,423,130)( 94,524,319,121,405,669,
422,312)( 95,394,331,433,416, 97,420,338)( 98,602,332,615,410,617,
436,624)( 99,550,323,511,391,383,440,234)(101,472,337,277,403,643,
425,598)(102,212,333,563,401,513,417,390)(103,264,325,641,399,591,
439,494)(105,379,674,214,307,562,531,501)(110,301,666,526,293,120,
535,657)(111,119,665,656,292,302,536,527)(112,171,660,240,298,458,
534,345)(113,587,673,474,311,276,533,631)(114,249,662,448,300,354,
528,163)(115,509,651,370,310,224,541,553)(116,457,664,344,294,172,
530,241)(117,639,659,578,309,484,545,267)(118,353,658,162,296,250,
532,449)(124,613,670,604,306,614,540,605)(125,561,661,500,287,380,
544,215)(127,483,675,266,299,640,529,579)(128,223,671,552,297,510,
521,371)(129,275,663,630,295,588,543,475)(157,374,258,220,463,560,
349,502)(164,166,244,246,454,456,352,346)(165,582,257,480,467,274,
351,632)(167,504,235,376,466,222,359,554)(168,452,248,350,450,170,
348,242)(169,634,243,584,465,482,363,268)(176,608,254,610,462,612,
358,606)(177,556,245,506,443,378,362,216)(179,478,259,272,455,638,
347,580)(180,218,255,558,453,508,339,372)(181,270,247,636,451,586,
361,476)(209,385,570,219,515,547,375,518)(217,593,569,479,519,261,
377,648)(221,645,555,583,517,469,389,284)(228,619,566,609,514,599,
384,622)(229,567,557,505,495,365,388,232)(231,489,571,271,507,625,
373,596)(233,281,559,635,503,573,387,492)(269,585,647,477,597,283,
481,649)(273,637,633,581,595,491,493,285)(280,611,644,607,592,621,
488,623), ( 1,126,314,635, 15,117,317,647, 21,129,320,638, 9,116,
338,631, 19,110,328,642, 20,108,329,627, 10,128,313,646, 2,115,327,
637, 5,127,333,649, 8,118,321,636, 26,111,331,630, 16,122,332,628,
17,107,322,648)( 3,114,336,625, 22,106,323,639, 13,109,335,645, 25,
112,326,633, 12,130,319,643, 6,120,330,644, 4,121,315,634, 24,105,
334,626, 11,119,325,629, 23,125,337,632, 14,113,324,650, 7,123,318,
640, 18,124,316,641)( 27,100,210,375, 41, 91,213,387, 47,103,216,378,
35, 90,234,371, 45, 84,224,382, 46, 82,225,367, 36,102,209,386, 28,
89,223,377, 31,101,229,389, 34, 92,217,376, 52, 85,227,370, 42, 96,
228,368, 43, 81,218,388)( 29, 88,232,365, 48, 80,219,379, 39, 83,231,
385, 51, 86,222,373, 38,104,215,383, 32, 94,226,384, 30, 95,211,374,
50, 79,230,366, 37, 93,221,369, 49, 99,233,372, 40, 87,220,390, 33,
97,214,380, 44, 98,212,381)( 53,490,600,297, 67,481,603,309, 73,493,
606,300, 61,480,624,293, 71,474,614,304, 72,472,615,289, 62,492,599,
308, 54,479,613,299, 57,491,619,311, 60,482,607,298, 78,475,617,292,
68,486,618,290, 69,471,608,310)( 55,478,622,287, 74,470,609,301, 65,
473,621,307, 77,476,612,295, 64,494,605,305, 58,484,616,306, 56,485,
601,296, 76,469,620,288, 63,483,611,291, 75,489,623,294, 66,477,610,
312, 59,487,604,302, 70,488,602,303)(131,256,418,349,145,247,421,361,
151,259,424,352,139,246,442,345,149,240,432,356,150,238,433,341,140,
258,417,360,132,245,431,351,135,257,437,363,138,248,425,350,156,241,
435,344,146,252,436,342,147,237,426,362)(133,244,440,339,152,236,427,
353,143,239,439,359,155,242,430,347,142,260,423,357,136,250,434,358,
134,251,419,348,154,235,438,340,141,249,429,343,153,255,441,346,144,
243,428,364,137,253,422,354,148,254,420,355)(157,516,262,193,171,507,
265,205,177,519,268,196,165,506,286,189,175,500,276,200,176,498,277,
185,166,518,261,204,158,505,275,195,161,517,281,207,164,508,269,194,
182,501,279,188,172,512,280,186,173,497,270,206)(159,504,284,183,178,
496,271,197,169,499,283,203,181,502,274,191,168,520,267,201,162,510,
278,202,160,511,263,192,180,495,282,184,167,509,273,187,179,515,285,
190,170,503,272,208,163,513,266,198,174,514,264,199)(391,594,548,453,
405,585,551,465,411,597,554,456,399,584,572,449,409,578,562,460,410,
576,563,445,400,596,547,464,392,583,561,455,395,595,567,467,398,586,
555,454,416,579,565,448,406,590,566,446,407,575,556,466)
(393,582,570,443,412,574,557,457,403,577,569,463,415,580,560,451,402,
598,553,461,396,588,564,462,394,589,549,452,414,573,568,444,401,587,
559,447,413,593,571,450,404,581,558,468,397,591,552,458,408,592,550,
459)(521,542,522,531,535,533,525,543,541,545,528,534,529,532,546,527,
539,526,536,538,540,524,537,523,530,544)(651,672,652,661,665,663,655,
673,671,675,658,664,659,662,676,657,669,656,666,668,670,654,667,653,
660,674) ] ],
[ 23, 973440000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PSL(2, 25)^2.(2 x D_8)", [ "L", [ 2, 25 ], 2 ],
[ ( 1, 8,242,240,318,316,576,583,453,462,202,187,551,561,301,305,175,179,
439,423,501,512, 70, 53)( 2,112,244, 84,337,134,589,479,445,384,198,
265,558,613,312,669,178,647,425,397,515, 44, 65,339)( 3,372,250,266,
324,602,598,661,464,644,191,395,567, 41,299,357,158,127,426, 85,519,
148, 69,469)( 4,580,245,448,332,186,577,557,457,306,201,161,569,431,
293,513,174, 75,417, 7,502,252, 58,313)( 5,554,249,292,331,160,595,
427,449,514,200, 57,547, 15,294,253,162,335,420,579,505,460, 72,183)
( 6,320,238,578,323,446,592,193,447,566,197,291,565,171,309,435,163,
517,434, 59,495, 18, 60,235)( 9,398,255, 32,325,342,574,115,452, 98,
207,135,563,483,289,383,172,283,428,605,520,668, 74,625)
( 10, 86,259,136,329,472,575,375,458,280,194,603,572,665,308,643,165,
413,437, 33,507,356, 54,105)( 11,450,254,188,317,550,587,297,461,176,
205,421,553,509,304, 71,157, 23,424,241,500,330, 56,573)
( 12,606,260,656,334,628,581,401,463, 46,195,343,548,119,296, 97,181,
153,433,475,497,382, 68,261)( 13,346,236,110,322, 82,597,141,459,488,
185,369,562,275,298,617,182,673,438,631,503,408, 73, 27)
( 14,528,248,526,326,524,586,531,456,540,196,525,560,535,300,539,170,
543,430,527,508,538, 66,521)( 16,268,246,604,338,654,594,635,451,410,
203, 31,559,353,288,123,166,101,441,137,511,486, 55,365)
( 17,476,237,370,328,264,584,609,468,670,204,629,555,405,307, 45,169,
361,418,111,504, 96, 77,131)( 19,164,257,422,319,498,590, 63,443, 20,
190,239,552,327,290,591,167,465,436,189,499,564, 67,287)
( 21, 34,247,344,314,108,582, 89,467,150,199,473,549,379,302,279,168,
621,442,657,516,642, 61,391)( 22,632,243,396,333, 30,585,349,444,124,
192, 83,571,145,303,487,159,387,432,267,506,616, 78,651)
( 24,216,258,214,336,212,596,219,466,228,206,213,570,223,310,227,180,
231,440,215,518,226, 76,209)( 25,138,251,474,315,368,588,271,454,618,
208,655,568,639,295,409,177, 49,429,345,496,122, 62, 79)
( 26,658,256,630,321,394,593, 37,455,358,184,109,556, 93,311,149,173,
491,419,371,510,278, 64,599)( 28,117,348, 80,129,140, 95,493,133,381,
484,263,376,614,286,662,620,650,659,412,645, 35,403,359)
( 29,377,354,262,116,608,104,675,152,641,477,393,385, 42,273,350,600,
130,660,100,649,139,407,489)( 36, 91,363,132,121,478, 81,389,146,277,
480,601,390,666,282,636,607,416,671, 48,637,347,392,125)
( 38,611,364,652,126,634, 87,415,151, 43,481,341,366,120,270, 90,623,
156,667,490,627,373,406,281)( 39,351,340,106,114, 88,103,155,147,485,
471,367,380,276,272,610,624,676,672,646,633,399,411, 47)
( 40,533,352,522,118,530, 92,545,144,537,482,523,378,536,274,532,612,
546,664,542,638,529,404,541)( 50,221,362,210,128,218,102,233,154,225,
492,211,388,224,284,220,622,234,674,230,648,217,414,229)
( 51,143,355,470,107,374, 94,285,142,615,494,653,386,640,269,402,619,
52,663,360,626,113,400, 99)(222,544),
( 1,321,536, 65)( 2,373,538,585)( 3,503,532,351)( 4,217,543,143)
( 5,295,541, 39)( 6,165,528,611)( 7,269,542,403)( 8,607,526,169)
( 9,529,533, 13)( 10,477,534,117)( 11,425,540,195)( 12,347,523,507)
( 14,113,530,481)( 15,659,537,455)( 16, 61,521,325)( 17,451,535,663)
( 18,581,522,377)( 19,633,546, 91)( 20,191,531,429)( 21, 35,525,299)
( 22,399,527,273)( 23,139,524,221)( 24,555,545,247)( 25,243,544,559)
( 26, 87,539,637)( 27,317,302, 73)( 28,369,304,593)( 29,499,298,359)
( 30,213,309,151)( 31,291,307, 47)( 32,161,294,619)( 33,265,308,411)
( 34,603,292,177)( 36,473,300,125)( 37,421,306,203)( 38,343,289,515)
( 40,109,296,489)( 41,655,303,463)( 42, 57,287,333)( 43,447,301,671)
( 44,577,288,385)( 45,629,312, 99)( 46,187,297,437)( 48,395,293,281)
( 49,135,290,229)( 50,551,311,255)( 51,239,310,567)( 52, 83,305,645)
( 53,313,328, 68)( 54,365,330,588)( 55,495,324,354)( 56,209,335,146)
( 58,157,320,614)( 59,261,334,406)( 60,599,318,172)( 62,469,326,120)
( 63,417,332,198)( 64,339,315,510)( 66,105,322,484)( 67,651,329,458)
( 69,443,327,666)( 70,573,314,380)( 71,625,338, 94)( 72,183,323,432)
( 74,391,319,276)( 75,131,316,224)( 76,547,337,250)( 77,235,336,562)
( 78, 79,331,640)( 80,383,642,598)( 81,513,636,364)( 82,227,647,156)
( 84,175,632,624)( 85,279,646,416)( 86,617,630,182)( 88,487,638,130)
( 89,435,644,208)( 90,357,627,520)( 92,123,634,494)( 93,669,641,468)
( 95,461,639,676)( 96,591,626,390)( 97,643,650,104)( 98,201,635,442)
(100,409,631,286)(101,149,628,234)(102,565,649,260)(103,253,648,572)
(106,374,486,586)(107,504,480,352)(108,218,491,144)(110,166,476,612)
(111,270,490,404)(112,608,474,170)(114,478,482,118)(115,426,488,196)
(116,348,471,508)(119,660,485,456)(121,452,483,664)(122,582,470,378)
(124,192,479,430)(126,400,475,274)(127,140,472,222)(128,556,493,248)
(129,244,492,560)(132,368,226,595)(133,498,220,361)(134,212,231,153)
(136,160,216,621)(137,264,230,413)(138,602,214,179)(141,420,228,205)
(142,342,211,517)(145,654,225,465)(147,446,223,673)(148,576,210,387)
(150,186,219,439)(152,394,215,283)(154,550,233,257)(155,238,232,569)
(158,372,616,578)(159,502,610,344)(162,164,606,604)(163,268,620,396)
(167,424,618,188)(168,346,601,500)(171,658,615,448)(173,450,613,656)
(174,580,600,370)(176,190,609,422)(178,398,605,266)(180,554,623,240)
(181,242,622,552)(184,375,434,592)(185,505,428,358)(189,271,438,410)
(193,427,436,202)(194,349,419,514)(197,661,433,462)(199,453,431,670)
(200,583,418,384)(204,401,423,280)(206,557,441,254)(207,245,440,566)
(236,388,564,597)(237,518,558,363)(241,284,568,415)(246,362,549,519)
(249,674,563,467)(251,466,561,675)(252,596,548,389)(256,414,553,285)
(258,570,571,259)(262,386,408,579)(263,516,402,345)(267,282,412,397)
(272,360,393,501)(275,672,407,449)(277,464,405,657)(278,594,392,371)
(340,367,512,584)(341,497,506,350)(353,653,511,454)(355,445,509,662)
(356,575,496,376)(366,382,590,574)(379,668,589,444)(381,460,587,652)
(457,665,667,459), ( 1,200,337,527,673,177,476,273,352,124,312, 41,
425,414,550,634,505,614,367, 79,199,259,526,231,178,450,279,144,116,
78, 31,581,392, 4,642,323,605,653, 99,485,247,344,228,308,457,435,
154,558, 62,499,588,366)( 2, 18,330,319,657,671,489,481,351,358,306,
301,431,440,570,556,504,510,380,365,183,207,545,543,179,164,268,274,
118,130, 52, 35,399,394,628,635,609,601, 81, 95,251,240,214,230,464,
461,149,142, 64, 57,577,574)( 3, 96,329,241,656,229,490,455,357,150,
298, 67,421,596,548, 10,512,328,371,651,203,493,533,361,176,294,275,
430,128,572, 36,503,406,368,625,193,623,523,101,173,242,266,222,126,
468, 45,139,402, 56,629,583,600)( 5,590,314, 7,668,333,475,663,359,
488,299,353,436,310,561,426,518,562,374,495,198,389,521,205,181,528,
283,170,112,286, 40,113,416, 30,633,401,602,627, 89,615,237, 84,225,
256,448,227,152,454, 71,135,584, 54)( 6,226,334,449,669,151,480, 65,
343,592,288, 15,434,336,553,660,515,484,377,339,202,311,535,439,180,
554,270,508,120,390, 27,191,415,524,647,167,606,263, 92,121,260, 32,
217,412,446,643,141,610, 55, 83,589,236)( 8,278,326,111,676, 47,477,
403,342,644,297,613,419,102,563,244,500,224,386,443,201,155,532, 75,
161,580,262, 14,122,338, 33,659,411,472,637,349,618,289, 93,433,258,
552,218,516,458,383,131,194, 77,525,595,158)( 9,408,316,631,661,619,
471, 91,355,254,292,223,438,466,565,140,506, 68,369,573,184, 25,538,
335,163,658,281,482,117,364, 46,295,405,420,648,557,608,497, 94,381,
235,188,233,542,465,175,138,272, 66,109,598, 28)( 11,616,315, 85,667,
255,474,221,360,462,305,145,428, 76,551,582,496, 16,382,313,189,675,
541,491,169,346,280,300,119,442, 50,555,400,498,640,375,599,185,103,
537,257,162,216,282,456,123,156, 38, 61,395,576,626)( 12, 70,317,579,
652, 21,486,325,345,670,307,483,429,362,566,296,509,432,388,547,192,
519,536,387,157,190,285,534,127,182, 34,269,404,108,650, 37,607,393,
82,641,245,604,211,100,459,253,136,220, 74,447,591,132)
( 13,356,332,293,665,437,492,559,348,514,302,379,417,206,571,530,517,
172,372,261,196,129,546, 49,165,398,264,638,115,624, 29, 87,407,238,
630,219,620,445, 97,147,246, 58,213,594,444, 19,148,324, 59,655,593,
470)( 17,252,318,215,672,463,487,143,350, 72,291,587,418, 24,564,322,
501,666,385,469,195,363,540,309,171,424,284,560,114,520, 42,373,391,
186,649,531,621,159, 86,277,248,110,234, 48,451,409,134,636, 63,603,
575, 80)( 20,304,327,423,674,567,478,507,354,384,287,197,441,544,569,
166,502,276,378,105,208, 51,529,413,160,632,271,612,107,104, 43,243,
396,212,646,453,617,133, 90, 69,239,578,210, 22,460,331,137,662, 73,
473,585,340)( 23,174,320,267,664,125,494, 39,347,410,290,639,427,622,
549, 88,511,250,370,209,204,467,539,153,168, 60,265,586,106, 26, 44,
321,397,654,645,479,611,341, 98,303,249,422,232,568,452,513,146,376,
53,187,597,522) ] ],
[ 24, 973440000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.2^2:4",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,561,585,482,617, 27,353,507, 14,565,573,483,611, 40,357,495, 15,559,
586,487,599, 41,351,508, 19,547,587,481,612, 45,339,509, 13,560,591,
469,613, 39,352,513)( 2,552,588,476,605, 52,360,517, 11,570,574,474,
614, 34,345,520, 22,569,583,492,600, 32,354,502, 7,572,594,491,609,
50,340,500, 16,554,579,494,620, 49,349,518)( 3,566,597,489,603, 44,
355,504, 4,558,575,488,623, 47,343,512, 17,556,576,480,601, 46,363,
515, 5,564,589,478,602, 38,341,514, 25,567,577,486,615, 36,342,506)
( 6,562,580,475,624, 48,361,505, 24,548,578,484,606, 33,364,516, 23,
557,596,470,604, 42,346,501, 26,568,595,479,622, 28,344,510, 8,553,
598,490,621, 37,362,496)( 9,555,581,477,607, 35,347,503)
( 10,550,584,471,618, 51,359,499, 18,563,582,472,610, 29,358,519, 21,
551,590,485,608, 30,350,497, 20,571,593,473,616, 43,348,498, 12,549,
592,493,619, 31,356,511)( 53,171,429,404,643,313,223,377, 66,175,417,
405,637,326,227,365, 67,169,430,409,625,327,221,378, 71,157,431,403,
638,331,209,379, 65,170,435,391,639,325,222,383)( 54,162,432,398,631,
338,230,387, 63,180,418,396,640,320,215,390, 74,179,427,414,626,318,
224,372, 59,182,438,413,635,336,210,370, 68,164,423,416,646,335,219,
388)( 55,176,441,411,629,330,225,374, 56,168,419,410,649,333,213,382,
69,166,420,402,627,332,233,385, 57,174,433,400,628,324,211,384, 77,
177,421,408,641,322,212,376)( 58,172,424,397,650,334,231,375, 76,158,
422,406,632,319,234,386, 75,167,440,392,630,328,216,371, 78,178,439,
401,648,314,214,380, 60,163,442,412,647,323,232,366)( 61,165,425,399,
633,321,217,373)( 62,160,428,393,644,337,229,369, 70,173,426,394,636,
315,228,389, 73,161,434,407,634,316,220,367, 72,181,437,395,642,329,
218,368, 64,159,436,415,645,317,226,381)( 79, 93, 91, 92, 97)
( 80, 84, 94, 86, 85,104,100,101, 89,102)( 81, 98,103, 99, 83, 96, 95,
88, 82, 90)(105,119,117,118,123)(106,110,120,112,111,130,126,127,115,
128)(107,124,129,125,109,122,121,114,108,116)(131,275,663,300,253,
183,457,533,144,279,651,301,247,196,461,521,145,273,664,305,235,197,
455,534,149,261,665,299,248,201,443,535,143,274,669,287,249,195,456,
539)(132,266,666,294,241,208,464,543,141,284,652,292,250,190,449,546,
152,283,661,310,236,188,458,528,137,286,672,309,245,206,444,526,146,
268,657,312,256,205,453,544)(133,280,675,307,239,200,459,530,134,272,
653,306,259,203,447,538,147,270,654,298,237,202,467,541,135,278,667,
296,238,194,445,540,155,281,655,304,251,192,446,532)(136,276,658,293,
260,204,465,531,154,262,656,302,242,189,468,542,153,271,674,288,240,
198,450,527,156,282,673,297,258,184,448,536,138,267,676,308,257,193,
466,522)(139,269,659,295,243,191,451,529)(140,264,662,289,254,207,
463,525,148,277,660,290,246,185,462,545,151,265,668,303,244,186,454,
523,150,285,671,291,252,199,452,524,142,263,670,311,255,187,460,537),
( 1,152,157,147,261,151,105,139)( 2, 48,162,303,263,255,122,659)
( 3,256,174,667,262, 47,110,295)( 4,464,161,355,274,515,128,607)
( 5,360,170,511,284,619,108,451)( 6,308,159,251,278,671,106, 35)
( 7, 74,181,433,275,229,116,529)( 8,568,182,199,273,411,123, 87)
( 9, 22,178,173,277,281,125,113)( 10,334,167,381,280,645,120,581)
( 11,386,176,641,276,593,114,321)( 12,542,163, 69,285,437,119,217)
( 13,412,175, 95,268,567,130,191)( 14,516,180,615,264,463,109,347)
( 15,230,168,537,267, 73,129,425)( 16,594,166,329,271,385,124,633)
( 17,282,177,121,269, 21,126,165)( 18,672,158, 43,266,307,107,243)
( 19,100,164,563,286,203,117,399)( 20,646,172,589,270,333,115,373)
( 23,490,179,485,283,489,127,477)( 24,620,160,459,265,359,118,503)
( 25,438,171,225,272,541,111, 61)( 26,204,169,407,279, 99,112,555)
( 27,136,287,133,235,148,651,132)( 28, 32,292,289,237,252,668,652)
( 29,240,304,653,236, 44,656,288)( 30,448,291,341,248,512,674,600)
( 31,344,300,497,258,616,654,444)( 33, 58,311,419,249,226,662,522)
( 34,552,312,185,247,408,669, 80)( 36,318,297,367,254,642,666,574)
( 37,370,306,627,250,590,660,314)( 38,526,293, 55,259,434,665,210)
( 39,396,305, 81,242,564,676,184)( 40,500,310,601,238,460,655,340)
( 41,214,298,523,241, 70,675,418)( 42,578,296,315,245,382,670,626)
( 45, 84,294,549,260,200,663,392)( 46,630,302,575,244,330,661,366)
( 49,474,309,471,257,486,673,470)( 50,604,290,445,239,356,664,496)
( 51,422,301,211,246,538,657, 54)( 52,188,299,393,253, 96,658,548)
( 53,155,417,145,209,142,521,137)( 56,467,421,353,222,506,544,605)
( 57,363,430,509,232,610,524,449)( 59, 77,441,431,223,220,532,527)
( 60,571,442,197,221,402,539, 85)( 62,337,427,379,228,636,536,579)
( 63,389,436,639,224,584,530,319)( 64,545,423, 67,233,428,535,215)
( 65,415,435, 93,216,558,546,189)( 66,519,440,613,212,454,525,345)
( 68,597,426,327,219,376,540,631)( 71,103,424,561,234,194,533,397)
( 72,649,432,587,218,324,531,371)( 75,493,439,483,231,480,543,475)
( 76,623,420,457,213,350,534,501)( 78,207,429,405,227, 90,528,553)
( 79,138,547,156,183,143,391,149)( 82,450,551,364,196,507,414,617)
( 83,346,560,520,206,611,394,461)( 86,554,572,208,195,403,409, 97)
( 88,320,557,390,202,637,406,591)( 89,372,566,650,198,585,400,331)
( 91,398,565,104,190,559,416,201)( 92,502,570,624,186,455,395,357)
( 94,580,556,338,193,377,410,643)( 98,632,562,598,192,325,401,383)
(101,476,569,494,205,481,413,487)(102,606,550,468,187,351,404,513)
(134,443,135,339,144,495,154,599)(140,313,141,365,150,625,146,573)
(153,469)(316,453,369,358,638,510,596,608)(317,349,378,514,648,614,
576,452)(322,323,375,384,644,640,588,582)(326,505,388,618,628,458,
577,348)(328,583,374,332,635,380,592,634)(335,479,387,488,647,484,
595,478)(336,609,368,462,629,354,586,504)(342,456,499,362,612,498,
466,603)(343,352,508,518,622,602,446,447)(361,482,517,492,621,472,
465,473) ] ],
[ 25, 973440000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PSL(2, 25)^2.(2 x D_8)", [ "L", [ 2, 25 ], 2 ],
[ ( 1, 94,619,212,503,674,579,335,390,351,244, 72,297,490, 43,528,419,404,
447,197,116,285,548,174)( 2,172,599, 82,515,232,581,673,371,325,260,
358,296, 74, 37,476,433,534,445,405,109,207,558,278)( 3,406,603,186,
506,284,574,179,365, 91,255,228,295,672, 33,320,442,352,452, 67,115,
493,563,538)( 4,510,622,576,517,388,585,257,384,299,256, 46,294,438,
40,450,431,118,467,561,122, 25,562,616)( 5,198,610,264,496,180,573,
101,385,221,243,670,293,334, 52,346,426, 66,453,483,121,545,549,408)
( 6,640,604,628,500,648,578,647,370,637,240,644,292,646, 32,632,422,
638,448,639,110,649,552,642)( 7,328,624,342,504, 76,583,491,381,533,
237,410,291,204, 38,268,418,170,443, 93,125,233,555,668)
( 8,432,612,446,509,128,597,569,382, 13,250,618,290,516, 50,580,439,
378,455,249,124,311,568, 44)( 9,666,605,316,520,362,582, 75,375,481,
251,540,289,412, 31,190,428,274,444,171,105,103,567,226)
( 10, 68,609,472,511,544,575,413,369,195,246,280,288,178, 27, 86,437,
222,451,665,111,337,572,356)( 11,484,615,524,497,414,577,205,376,273,
236,176,287,100, 47,216,425,664,449,327,130,363,556, 70)
( 12,276,600,160,495,102,593,231,373,663,241,332,312,360, 36, 60,427,
482,459,535,107,415,551,200)( 14,458,613,108,519,570,590, 23,380,611,
238,514,310,594, 49,372,429,248,462,301,126, 51,554,434)
( 15,120,623,550,512, 24,588,621,368,507,258,592,309,386, 39,242,436,
300,464, 41,112,441,560,460)( 16,614,602,498,518,596,595,387,377,247,
254,306,308, 48, 34,424,430,456,457,119,129,571,564, 18)
( 17,536,601,394,499,206,584,283,366,169,235, 98,307,230, 35,658,423,
326,468,353,114, 77,557,486)( 19,146,617,134,513,154,591,153,383,143,
253,150,305,152, 45,138,435,144,461,145,123,155,565,148)
( 20,302,620, 30,502,440,586,465,379,117,259,566,304, 22, 42,606,420,
508,466,587,127,389,559,252)( 21,224,607,654,501,336,598,361,374, 65,
245,488,303,542, 29,398,421,196,454,275,106,181,547, 96)
( 26,354,608, 56,505,492,589,543,367,403,239,202,298,282, 28,164,417,
92,463,223,113,675,553,330)( 53, 89,489,225,529,653,397,317,208,350,
270, 54,167,469, 95,541,211,399,655,189,324,286,340,166)
( 55,401,473,199,532,263,392,161,183, 90,281,210,165,651, 85,333,234,
347,660, 59,323,494,355,530)( 57,193,480,277,522,159,391, 83,203,220,
269,652,163,313,104,359,218, 61,661,475,329,546,341,400)
( 58,635,474,641,526,627,396,629,188,636,266,626,162,625, 84,645,214,
633,656,631,318,650,344,634)( 62, 63,479,485,537,523,393,395,187,194,
272,262,158,157, 79, 99,229,217,659,657,319,338,364,348)
( 64,271,470,173,521, 81,411,213,191,662,267,314,182,339, 88, 73,219,
477,667,527,315,416,343,192)( 69,531,471,407,525,185,402,265,184,168,
261, 80,177,209, 87,671,215,321,676,345,322, 78,349,478)
( 71,141,487,147,539,133,409,135,201,142,279,132,175,131, 97,151,227,
139,669,137,331,156,357,140)(136,643),
( 1,307,389,457,210,105,306,441,449,132,107,566,430, 85,148,653,572,
274, 83, 44,674, 26,281,369, 41,232)( 2,125,384,431,215,131,289,571,
456, 80,122,670,442,267,135, 29,570, 14, 99,382,665,234,261,291, 51,
466)( 3,567,378, 93,226,651,312,285,447, 28,128, 20,437,371,145,211,
547,300,103,460,652,130,280,421, 33,154)( 4,255,381,613,217,573,298,
363,452,626,126,540,432, 59,143,471,552,196, 89,512,669,182,283,317,
34,414)( 5, 47,388, 15,229,365,301,233,443,288,129,462,418,111,150,
419,553,144, 81,564,664,104,278,655, 52,284)( 6,203,375,509,227,157,
309,337,450,392,108,254,433,605,139,575,558,352, 88,642,672,546,276,
57, 39,492)( 7,151,367,561,222, 79,304,675,468,262,109, 46,440)
( 8,411,368,249,225,599,295,597,454,340,114,644,438,527,146, 55,559,
482, 84,200,661,520,279,161, 49,336)( 9,593,376,353,218,625,308,545,
458, 54,117,488,422,189,141,497,565,170,101,330,658,416,264,239, 43,
622)( 10,645,386,535,224, 53,299,493,448,184,115,514,435,163,153,315,
554,404, 82,252,667,624,269,577, 38,362)( 11,515,383,171,231,313,294,
415,446,236,121,618,425,579,142,341,556,638,100,538,666, 78,273,473,
32,206)( 12,359,374,639,230,521,302, 77,455,470,110,202,427,501,149,
159,569,326, 86,408,654,260,277,603, 35,596)( 13,489,370,197,219,495,
305,181,465,314,112,410,420,241,147,601,555,586, 90,356,660,650,282,
525, 42, 76)( 16, 73,377,483,214,183,297,519,461,158,127,332,424,397,
134,237,563,612, 87,590,662,364,270,629, 48,544)( 17,619,373,587,220,
339,296,649,464,522,120, 72,429,475,136,185,557,508, 97,174,673,338,
268,395, 30,258)( 18,671,390,275,213, 27,310, 25,463,366,119,228,417,
293,155,445,548,118, 98,434,657,156,263,551, 40,102)( 19,177,387,327,
216,391,290,259,459,600,113,592,428,345,140,627,568,534, 94, 70,663,
494,266,187, 37,518)( 21,385,379,223,209,287,311,467,444,106,124,436,
423,137,133,549,560, 92, 96,668,676,286,265, 31, 50, 24)
( 22,541,380, 67,221,469,292,207,453,496,123,176,439,319,138,393,550,
248, 95,616,659,598,272,343, 36,648)( 23,333,372,405,212,235,303,623,
451,574,116,358,426,631,152,523,562, 66, 91,486,656,208,271,499, 45,
180)( 56,247,485,604,191,583,506,357,166,647,334,528,406)
( 58,195,479,500,201,167,517,331,164,413,316,242,407,602,243,589,610,
347,582,636,360,530,640, 74,533,484)( 60,403,472,240,199,609,503,591,
168,361,322,632,412,524,250, 69,611,477,578,194,349,504,643,178,543,
328)( 61,585,480,344,192,635,516,539,172, 75,325,476,396,186,245,511,
617,165,595,324,346,400,628,256,537,614)( 62,637,490,526,198, 63,507,
487,162,205,323,502,409,160,257,329,606,399,576,246,355,608,633,594,
532,354)( 64,351,478,630,204,531,510, 71,169,491,318,190,401,498,253,
173,621,321,580,402,342,244,641,620,529,588)( 65,481,474,188,193,505,
513,175,179,335,320,398,394,238,251,615,607,581,584,350,348,634,646,
542,536, 68), ( 1,508,313,499,131,505,573,506,391,504, 27,509, 79,
512,625,514)( 2,248,333,473,146,297,594,194,415,452, 49,275, 97,538,
633,436)( 3,170,316,369,136,115,598,610,403,348, 34,561,102,668,631,
72)( 4,378,318,109,156,609,585,350,398,556, 50,665, 85, 70,627,176)
( 5,144,323,577,142,401,582, 38,405, 88, 44,639, 98, 18,638,332)
( 6,118,338,603,143,349,580,558,414,660, 33, 67, 81,174,628,384)
( 7, 66,315,161,134,375,578,116,416,608, 39,353, 86,564,648,670)
( 8,560,336,655,137, 63,575,168,394,374, 32,119,104,616,637,358)
( 9,430,314,239,151,479,588,298,412,192, 51,457,101,278,643,540)
( 10, 40,327, 83,148,635,592, 12,404,322, 31,145, 89,590,636,410)
( 11,586,324,395,140, 37,587, 90,408,634, 46, 15, 92,330,629,150)
( 13,352,320,551,154,661,579, 64,393,166, 30,379, 84,122,650,618)
( 14,326,317,135,141,583,584,402,400, 36, 41, 93, 96,642,644, 20)
( 16,300,334,187,155,453,595,272,409,530, 35,431, 80,252,645,488)
( 17,222,329,213,147,219,589,220,407,218, 43,223, 95,226,641,228)
( 19,534,321,421,132,245,593,480,406,296, 48,197,103,460,647,280)
( 21,482,328,291,152,193,597,454,413,270, 45,535, 87,434,626,254)
( 22,196,337,447,153,271,591,532,399,426, 28,249, 99,486,640,306)
( 23,274,331,525,139,427,574,246,411,478, 42,301,100,200,649,462)
( 24,664,319, 57,133,167,576,376,396,114, 52,613, 91,356,632,566)
( 25,456,335,265,149,531,581,428,392,244, 47,483, 94,304,646,202)
( 26,612,325,343,138,557,596,662,397, 62, 29,171, 82,382,630,124)
( 53,497,157,498,365,500,105,520,599,507,339,502,547,518,651,501)
( 54,237,177,472,380,292,126,208,623,455,361,268,565,544,659,423)
( 55,159,160,368,370,110,130,624,611,351,346,554,570,674,657, 59)
( 56,367,162,108,390,604,117,364,606,559,362,658,553, 76,653,163)
( 58,107,182,602,377,344,112,572,622,663,345, 60,549,180,654,371)
( 61,419,158,238,385,474,120,312,620,195,363,450,569,284,669,527)
( 65,341,164,550,388,656,111, 78,601,169,342,372,552,128,676,605)
( 68,289,178,186,389,448,127,286,617,533,347,424,548,258,671,475)
( 69,211,173,212,381,214,121,234,615,221,355,216,563,232,667,215)
( 71,523,165,420,366,240,125,494,614,299,360,190,571,466,673,267)
( 73,471,172,290,386,188,129,468,621,273,357,528,555,440,652,241)
( 74,185,181,446,387,266,123,546,607,429,340,242,567,492,666,293)
( 75,263,175,524,373,422,106,260,619,481,354,294,568,206,675,449)
( 77,445,179,264,383,526,113,442,600,247,359,476,562,310,672,189)
(183,519,443,517,261,513,521,503,417,496,235,515,469,510,287,516)
(184,259,463,491,276,305,542,191,441,444,257,281,487,536,295,438)
(198,311,464,205,285,461,543,269,435,522,243,437,470,250,307,490)
(199,233,459,231,277,227,537,217,433,210,251,229,485,224,303,230)
(201,545,451,439,262,253,541,477,432,288,256,203,493,458,309,282)
(204,207,467,465,283,279,539,529,425,418,236,255,489,484,302,308)
(209,511) ] ],
[ 26, 973440000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PSL(2, 25)^2.(2 x D_8)", [ "L", [ 2, 25 ], 2 ],
[ ( 1,602,438,411, 37,164,539,222,384,337,596,481,558,121,205, 96,341,312,
458,145,501,634,265,243, 54,656)( 2,654,417,619, 48,398,531,170,383,
233,592,325,570,485,194,122,361,104,445,301,510,140,267,633, 57,240)
( 3,290,432,151, 33,632,525,248,366,675,573,611,568,407,193,174,357,
234,462,327,518,478,272,113, 75, 84)( 4,420,437, 47, 34,528,534,378,
389,597,585,559,563,199,200,356,364,468,457,509,504,270,269, 61, 58,
6)( 5,238,418,671, 27,606,542,404,375,181,591,221,566,329,206,486,
350,130,465, 93,497,296,276,139, 59,630)( 7,628,421,255, 28,658,521,
612,386,415,583,169,565,225,202,330,362,494,454,119,517, 88,263,295,
68,136)( 8,524,430,385, 51,580,533,560,381,207,590,351,572,459,197,
512,348,286,451, 67,500, 10,264,425, 73, 32)( 9, 56,422, 21, 30,424,
541, 40,372,545,586,377,571,589,195,564,355,208,460,353,520,452,275,
503, 62,266)( 11,160,435,229, 46,320,544,482,376,129,595, 91,549,303,
198,148,345,650,447,249,496,660,261,607, 74,396)( 12,108,439, 99, 29,
294,536,144,371,649,577,247,548,667,183,616,360,416,453,171,513,218,
280,321, 76,474)( 13,550,433,203, 44,346,546,456,379,519,582,273,555,
69,188, 18,342,442,463, 41,502,530,274,373, 77,578)( 14,368,441,593,
39,554,537,196,382,363,598,455,561,511,192,278,347, 78,448, 15,498,
426,281, 35, 60,526)( 16,134,423,645, 31,242,522,664,365,623,594,403,
557,173,201,226,358,338,466,483,506,114,283, 87, 55,292)
( 17,186,434,359, 52,450,535,508,374,285,581, 65,552)( 19,212,436,333,
50,476,532,118,387,103,575,299,562,147,189,642,343,260,444,665,495,
608,282,399, 63,162)( 20,316,440,489, 38,112,543, 92,367,311,588,143,
553,641,187,252,340,676,443,613,516,400,271,165, 71,214)
( 22,394,427,177, 45,216,540,326,388,493,584,117,569, 95,185,304,354,
156,449,639,499,244,262,659, 53,604)( 23, 82,419,307, 42,138,527,638,
369,259,574,663,547,615,204,408,349,182,461,223,514,322,284,477, 64,
110)( 24,472,428,125, 49, 86,523,300,380,155,579,637,551,251,184,668,
339,624,464,405,505,166,279,217, 72,318)( 25,576,429,567, 43,190,538,
352,390,467,587,507,556,277,191, 70,344, 26,446,431,515, 36,268,529,
66,370)( 79,601,308,406,141,163,643,213,254,314,674,469,610,126,413,
89,159,305,224,150,319,648,473,246,106,673)( 80,653,287,614,152,397,
635,161,253,210,670,313,622,490,402,115,179, 97,211,306,328,154,475,
636,109,257)( 81,289,302,146,137,631,629,239,236,652,651,599,620,412,
401,167,175,227,228,332,336,492,480,116,127,101)( 83,237,288,666,131,
605,646,395,245,158,669,209,618,334,414,479,168,123,231, 98,315,310,
484,142,111,647)( 85,627,291,250,132,657,625,603,256,392,661,157,617,
230,410,323,180,487,220,124,335,102,471,298,120,153)( 90,107,309, 94,
133,293,640,135,241,626,655,235,600,672,391,609,178,409,219,176,331,
232,488,324,128,491)(100,393,297,172,149,215,644,317,258,470,662,105,
621), ( 1,186,648,114, 25,446,636,504, 19,316,647,582)
( 2,342,639,530, 16,290,637, 62, 17,654,645,140)( 3,472,642, 88, 22,
602,635,426, 6,368,632,244)( 4,628,634, 10)( 5,550,633,218, 20,
394,629,556, 9,212,644,400)( 7, 30,650,270, 14,160,631, 36, 26,264,
638,166)( 8,238,627,478, 18, 82,646,608, 11,420,630,374)
( 12,498,643,322, 23,576,625,192, 24,108,649,452)( 13, 56,641,660, 21,
134,626,348, 15,524,640,296)( 27,208,284,118,181,449, 38,520,279,326,
179,579)( 28,364,275,534,172,293, 39, 78,277,664,177,137)
( 29,494,278, 92,178,605, 37,442,266,378,164,241)( 31,572,269,222,176,
397)( 32,390,268,248,159,475, 44,104,282,612,167,423)
( 33, 52,286,274,170,163)( 34,260,263,482,174, 85, 48,624,271,430,162,
371)( 35,234,280,404,161,553)( 40,182,267)( 41,546,276,300,169, 59,
43,676,281,144,158,345)( 42,312,273, 66,173,657, 47,156,262,352,171,
527)( 45,338,283,586,157,189, 50,130,285,456,168,501)
( 46,416,265,560,165,215)( 49,598,261,196,180,111, 51,468,272,508,175,
319)( 53,199,674,125,155,444,350,509,539,328,309,585)
( 54,355,665,541,146,288,351, 67,537,666,307,143)( 55,485,668, 99,152,
600,349,431,526,380,294,247)( 57,563,659,229,150,392,343,561,529,224,
306,403)( 58,381,658,255,133,470,356, 93,542,614,297,429)
( 60,251,653,489,148, 80,360,613,531,432,292,377)( 61,225,670,411,135,
548,347,223,540,406,291,559)( 63,433,656,385,138,236,341,483,538, 94,
308,611)( 64,511,669,333,153,574,339,197,544,120,311,455)
( 65, 69,667,671,151,132,340,353,535,536,302,299)( 68,303,663, 73,147,
652,359,145,522,354,301,533)( 70, 95,672,619,141,418,344,379,528,250,
289,481)( 71,329,673,593,131,184,362,119,545,458,298,507)
( 72,407,655,567,139,210,358,405,525,562,295,221)( 74,615,661,437,136,
366,346,249,523,484,304, 91)( 75,589,651,203,154,106,363,457,532,510,
305,325)( 76,121,675,463,142,496,357,327,543,588,287,195)
( 77,459,662,515,149,314,361,587,521,198,310,117)( 79,204,622,115,441,
448,376,502,253,315,491,590)( 81,490,616, 89,438,604,375,424,240,367,
476,252)( 83,568,607,219,436,396,369,554,243,211,488,408)
( 84,386,606,245,419,474,382, 86,256,601,479,434)( 87,230,618,401,421,
552,373,216,254,393,473,564)( 90,516,617,323,439,578,365,190,258,107,
493,460)( 96,100,620,609,427,422,370,372,242,237,471,486)
( 97,334,621,583,417,188,388,112,259,445,480,512)( 98,412,603,557,425,
214,384,398,239,549,477,226)(101,594,599,193,440,110,389,450,246,497,
487,330)(102,126,623,453,428,500,383,320,257,575,469,200)
(103,464,610,505,435,318,387,580,235,185,492,122)(105,207,466,116,519,
461,324,517,591,313,205,596)(109,571,451,220,514,409,317,569,581,209,
202,414)(113,233,462,402,499,565,321,231,592,391,187,570)
(123,337,465,584,495,201,336,127,597,443,194,518)(124,415,447,558,503,
227,332,413,577,547,191,232)(128,129,467,454,506,513,331,335,595,573,
183,206)(213,566,399)(217,228,410,395,551,555),
( 1,382,286, 22,387,280, 7,385,268, 5,370,262, 10,365,278, 26,386,
283, 20,371,281, 8,369,266, 2,374,261, 18,390,282, 23,384,267, 21,
372,265, 6,366,270)( 3,376,277, 15,373,264, 14,388,279, 13,375,276,
25,367,272, 17,379,269, 4,378,284, 19,377,271, 16,389,263, 12,381,
275, 9,368,274, 24,383,273, 11,380,285)( 27,330,442,178,673,254, 33,
333,424,161,656,236, 36,313,434,182,672,257, 46,319,437,164,655,240,
28,322,417,174,676,256, 49,332,423,177,658,239, 32,314,426,157,668,
260, 48,335,436,163,671,242, 31,318,418,166,651,252, 52,334,439,176,
657,255, 34,317,422,158,660,235, 44,338,438,179,670,241, 47,320,421,
162,652,244)( 29,324,433,171,659,238, 40,336,435,169,661,250, 51,315,
428,173,665,243, 30,326,440,175,663,245, 42,337,419,168,667,249, 35,
316,430,180,669,247, 37,328,441,159,662,251, 41,321,420,170,674,253,
39,323,432,181,653,246, 43,327,425,160,664,258, 45,325,427,172,675,
237, 38,329,431,165,654,248, 50,331,429,167,666,259)( 53,148,468,594,
517,358, 59,151,450,577,500,340, 62,131,460,598,516,361, 72,137,463,
580,499,344, 54,140,443,590,520,360, 75,150,449,593,502,343, 58,132,
452,573,512,364, 74,153,462,579,515,346, 57,136,444,582,495,356, 78,
152,465,592,501,359, 60,135,448,574,504,339, 70,156,464,595,514,345,
73,138,447,578,496,348)( 55,142,459,587,503,342, 66,154,461,585,505,
354, 77,133,454,589,509,347, 56,144,466,591,507,349, 68,155,445,584,
511,353, 61,134,456,596,513,351, 63,146,467,575,506,355, 67,139,446,
586,518,357, 65,141,458,597,497,350, 69,145,451,576,508,362, 71,143,
453,588,519,341, 64,147,457,581,498,352, 76,149,455,583,510,363)
( 79,564,650,100,569,644, 85,567,632, 83,552,626, 88,547,642,104,568,
647, 98,553,645, 86,551,630, 80,556,625, 96,572,646,101,566,631, 99,
554,629, 84,548,634)( 81,558,641, 93,555,628, 92,570,643, 91,557,640,
103,549,636, 95,561,633, 82,560,648, 97,559,635, 94,571,627, 90,563,
639, 87,550,638,102,565,637, 89,562,649)(105,616,234,542,491,410,111,
619,216,525,474,392,114,599,226,546,490,413,124,605,229,528,473,396,
106,608,209,538,494,412,127,618,215,541,476,395,110,600,218,521,486,
416,126,621,228,527,489,398,109,604,210,530,469,408,130,620,231,540,
475,411,112,603,214,522,478,391,122,624,230,543,488,397,125,606,213,
526,470,400)(107,610,225,535,477,394,118,622,227,533,479,406,129,601,
220,537,483,399,108,612,232,539,481,401,120,623,211,532,485,405,113,
602,222,544,487,403,115,614,233,523,480,407,119,607,212,534,492,409,
117,609,224,545,471,402,121,613,217,524,482,414,123,611,219,536,493,
393,116,615,223,529,472,404,128,617,221,531,484,415)(183,304,208,308,
205,306,189,307,190,291,188,288,192,287,200,312,204,309,202,293,203,
294,187,292,184,296)(185,298,199,301,191,290,196,310,201,299,193,302,
207,289,194,303,197,295,186,300,206,305,195,297,198,311) ] ],
[ 27, 973440000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1, "PSL(2, 25)^2.2^2:4",
[ "L", [ 2, 25 ], 2 ],
[ ( 1,274,575,463,349,290, 9,280,598,459,350,299)( 2,279,597,452,353,294,
24,276,577,460,344,293)( 3,281,583,446,347,306, 26,277,584,455,339,
300)( 4,269,592,468,355,298, 13,261,586,445,359,297)
( 5,278,578,449,340,305, 25,270,587,450,362,302)( 6,267,574,461,363,
296, 15,268,596,458,343,304)( 7,262,591,467,348,301, 8,284,588,447,
356,292)( 10,275,580,466,354,291, 18,266,579,444,357,311)
( 11,264,581,462,364,303, 12,273,573,456,341,307)( 14,263,593,453,342,
295, 20,286,589,454,351,287)( 16,265,590,448,345,288, 19,285,582,457,
346,310)( 17,272,585,443,352,289, 21,271,576,451,358,312)
( 22,282,594,464,360,308)( 23,283,595,465,361,309)( 27,612,471,125,
375, 82, 35,618,494,121,376, 91)( 28,617,493,114,379, 86, 50,614,473,
122,370, 85)( 29,619,479,108,373, 98, 52,615,480,117,365, 92)
( 30,607,488,130,381, 90, 39,599,482,107,385, 89)( 31,616,474,111,366,
97, 51,608,483,112,388, 94)( 32,605,470,123,389, 88, 41,606,492,120,
369, 96)( 33,600,487,129,374, 93, 34,622,484,109,382, 84)
( 36,613,476,128,380, 83, 44,604,475,106,383,103)( 37,602,477,124,390,
95, 38,611,469,118,367, 99)( 40,601,489,115,368, 87, 46,624,485,116,
377, 79)( 42,603,486,110,371, 80, 45,623,478,119,372,102)
( 43,610,481,105,378, 81, 47,609,472,113,384,104)( 48,620,490,126,386,
100)( 49,621,491,127,387,101)( 53,326,523, 73,323,524, 61,332,546,
69,324,533)( 54,331,545, 62,327,528, 76,328,525, 70,318,527)
( 55,333,531, 56,321,540, 78,329,532, 65,313,534)( 57,330,526, 59,314,
539, 77,322,535, 60,336,536)( 58,319,522, 71,337,530, 67,320,544, 68,
317,538)( 63,316,529, 72,338,537, 64,325,521, 66,315,541)
( 74,334,542)( 75,335,543)(131,248,497,645,427,550,139,254,520,641,
428,559)(132,253,519,634,431,554,154,250,499,642,422,553)
(133,255,505,628,425,566,156,251,506,637,417,560)(134,243,514,650,433,
558,143,235,508,627,437,557)(135,252,500,631,418,565,155,244,509,632,
440,562)(136,241,496,643,441,556,145,242,518,640,421,564)
(137,236,513,649,426,561,138,258,510,629,434,552)(140,249,502,648,432,
551,148,240,501,626,435,571)(141,238,503,644,442,563,142,247,495,638,
419,567)(144,237,515,635,420,555,150,260,511,636,429,547)
(146,239,512,630,423,548,149,259,504,639,424,570)(147,246,507,625,430,
549,151,245,498,633,436,572)(152,256,516,646,438,568)
(153,257,517,647,439,569)(157,222,185,177,219,186,165,228,208,173,220,
195)(158,227,207,166,223,190,180,224,187,174,214,189)
(159,229,193,160,217,202,182,225,194,169,209,196)(161,226,188,163,210,
201,181,218,197,164,232,198)(162,215,184,175,233,192,171,216,206,172,
213,200)(167,212,191,176,234,199,168,221,183,170,211,203)
(178,230,204)(179,231,205)(391,664,393,671,401,654,399,670,416,667,
402,663)(392,669,415,660,405,658,414,666,395,668,396,657)
(394,659,410,676,407,662,403,651,404,653,411,661)(397,652,409,675,400,
665,398,674,406,655,408,656)(412,672)(413,673),
( 1,184,310,374,477,673,268,323,410,209,207, 76,390,503,669,424,315,
540,220,571, 74, 52,509, 97,432,575,541,636,553,126, 32,145, 95,250,
586,177,628,605,122,448,135,355,247, 14,158,290,608,486,465,265,349,
403)( 2,288,296,478,491,283,271,401,391,183,206,388,373,659,658,320,
332,228,233, 77, 78,520,513,435,419,523,532,558,568, 48, 41, 93, 94,
588,593,645,631,111,110,136,147,251,248,170,160,602,616,460,447,343,
351, 13)( 3,522,298,556,490, 49,275, 89,406,573,203,648,371,113,656,
138,329,254,222,181, 56,624,512,461,421,341,533, 12,548,308, 36,483,
101,276,583,411,625,189,128,370,139,667,242,326,176,212,623, 70,468,
499,357,429)( 4,600,304,452,473,361,273, 11,392,287,192,492,387,269,
661,398,313,202,232,389, 61,676,502,331,436,211,545, 64,572,516, 45,
431, 81,536,584,567,646, 33,119, 84,146,589,255,638,163,108,604,148,
459,239,352,169)( 5,340,299, 10,470,309,270,479,413,261,193,414,365,
191,674,372,321,670,216,337, 72,234,519, 71,442,497,539,428,549,542,
38,561,100, 42,587, 99,640,579,125,630,137,121,240,144,173,238,612,
174,446,603,356,455)( 6,132,303,244,482,179,264,609,408,443,187,362,
377, 9,652,294,322,488,231,285, 63,416,495,201,440,367,529,662,554,
334, 46,223,103, 68,598,515,643,423,107,526,142,563,256, 40,171, 82,
614,590,463,629,345,117)( 7,106,292,140,485,257,274,167,394,599,200,
466,369,347,663, 8,314,306,218,493, 75,286,505,409,417,185,544,376,
555,672, 34,327, 98,224,597, 73,650,501,123,422,133,537,246,560,178,
30,613, 96,458,577,359,637)( 15, 80,302,582,489,647,267,115,396,131,
199,258,378,165,654,606,330,462,213,363, 65, 26,496,305,426,471,543,
272,557,412, 27,197,102,380,581,671,632,319,124,214,155, 69,260,508,
175,420,601,538,454,551,360, 39)( 16,574,307,634,475,127,266,141,407,
235,196,180,368,607,668,450,317,358,221, 25, 54,312,504,487,439,263,
531,402,547,204, 50,379, 87,666,580,333,644,215,129, 58,156,511,253,
430,159,524,610,564,464, 31,353, 91)( 17,236,300,166,472,621,278,453,
395,339,195, 24,366,295,660,476,335,280,219,415, 53,208,518,383,425,
653,528,324,566,230, 51, 67,104,510,591,437,627,527,116,552,152, 43,
249, 92,172,576,619,642,449,109,344,143)( 18,444,291,348,481, 23,262,
297,400,469,205,284,375,399,651,190,336,384,217,675, 60,338,514,227,
441, 55,546,506,565,438, 29,535, 90,562,594, 47,639, 85,120,578,151,
641,241,118,162,134,615,252,456,161,342,611)( 19,418,289,530,480,569,
282, 37,405, 79,198,596,385,633,657,112,318,150,225,259, 66,182,498,
617,434,445,525,350,559, 22, 28,301, 88,484,595,281,635,397,105,188,
154,381,243,664,164,316,618,226,467, 57,364,507)( 20,210,311, 62,494,
517,279,427,393,521,194,570,386, 35,665, 86,328,592,229,649, 59,130,
500,149,433,237,534,168,550,620, 44,457, 83,354,585, 21,626,293,114,
474,153,277,245,404,157,186,622,382,451,655,346,325) ] ],
[ 28, 1946880000, 0, "4c", [ [ 50, 1 ], [ 625, 1 ] ], 1,
"PGammaL(2, 25) wreath Sym(2)", [ "L", [ 2, 25 ], 2 ],
[ ( 1, 68,629,289,417,510, 31,315)( 2, 56,647,295,418,498, 49,321)
( 3, 53,640,291,419,495, 42,317)( 4, 75,633,288,420,517, 35,314)
( 5, 55,625,302,421,497, 27,328)( 6, 64,649,301,422,506, 51,327)
( 7, 72,650,303,423,514, 52,329)( 8, 76,638,304,424,518, 40,330)
( 9, 54,628,309,425,496, 30,335)( 10, 62,634,296,426,504, 36,322)
( 11, 71,637,307,427,513, 39,333)( 12, 77,639,292,428,519, 41,318)
( 13, 73,635,305,429,515, 37,331)( 14, 70,632,310,430,512, 34,336)
( 15, 58,636,311,431,500, 38,337)( 16, 57,627,287,432,499, 29,313)
( 17, 59,644,312,433,501, 46,338)( 18, 60,648,300,434,502, 50,326)
( 19, 65,645,297,435,507, 47,323)( 20, 78,641,293,436,520, 43,319)
( 21, 63,643,299,437,505, 45,325)( 22, 74,646,308,438,516, 48,334)
( 23, 61,626,290,439,503, 28,316)( 24, 66,642,294,440,508, 44,320)
( 25, 67,630,298,441,509, 32,324)( 26, 69,631,306,442,511, 33,332)
( 79,614,343,523,261,120,655,211)( 80,602,361,529,262,108,673,217)
( 81,599,354,525,263,105,666,213)( 82,621,347,522,264,127,659,210)
( 83,601,339,536,265,107,651,224)( 84,610,363,535,266,116,675,223)
( 85,618,364,537,267,124,676,225)( 86,622,352,538,268,128,664,226)
( 87,600,342,543,269,106,654,231)( 88,608,348,530,270,114,660,218)
( 89,617,351,541,271,123,663,229)( 90,623,353,526,272,129,665,214)
( 91,619,349,539,273,125,661,227)( 92,616,346,544,274,122,658,232)
( 93,604,350,545,275,110,662,233)( 94,603,341,521,276,109,653,209)
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(139,184,550,179,373,444,576,257)(140,192,556,166,374,452,582,244)
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( 32,141,389,363,216,281,609,116,223,164,286, 71,660,113)
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( 36,242,345,354,446,495,235,687,684,672,590,170,146,456)
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( 7,152,655,234,124)( 8,426,367,224,134)( 9,430,161,118, 43)
( 10,572, 35,104,283)( 11,437, 42,330,360)( 13,308,131,149,386)
( 14,270, 91, 56,671)( 15, 30, 73,606,536)( 16,218,493,113,505)
( 17,646,147,632,680)( 18,516,333,446,289)( 19,180,555, 57,604)
( 20,469,185,416,556)( 21,478, 67,121,447)( 22,209, 45, 88,244)
( 23,181,520,334,623)( 24,267,145, 25,423)( 26,200,473,221,356)
( 27,419,348,102,641)( 28,540,220,530,682)( 29,137,617,589,132)
( 31,690, 60,471,494)( 32,290,541, 61,622)( 33,202,191,280,335)
( 34,496,653, 51, 97)( 36,544, 89,607,528)( 37,424,472,599,547)
( 38,300,568, 81,619)( 39,508,428,681,291)( 40,559,279,142,312)
( 41,298,657,557,165)( 44,554,141,452,583)( 46,150, 83,240,128)
( 47,255,229,271,353)( 49, 79,344,644,329)( 50,401,374,164,410)
( 52,275,366,483, 55)( 53,497,172,432,684)( 54,420,600,492,293)
( 58,297,111,166,342)( 59,216,563,396,230)( 62,413,274,328,645)
( 63,485, 70,193,162)( 65,387,319,434,204)( 66,108,388,350,581)
( 68,337,511,262,179)( 69,605,281,363, 80)( 71,323,168,355,418)
( 72,151, 82,383,615)( 74,594, 94,357,449)( 75,597,584,133,491)
( 76,381,672,531,183)( 77,201,612,341,400)( 78,115,551,475,364)
( 84,585,468,488,414)( 85,268,143,631,282)( 86,154,635,103,284)
( 87,265,500,415,661)( 90,340,182,393,425)( 92,237,198,514,112)
( 93,603,324,517,321)( 95,539,370,109,476)( 96,515,450,153,346)
( 99,524,588,129,377)(100,136,311,310,349)(101,110,160,443,534)
(105,373,548,519,650)(106,513,582,238,336)(107,602,243,228,676)
(114,144,411,210,343)(116,376,436,569,448)(117,545,578,178,227)
(119,457,643,253,277)(123,140,573,658,444)(125,507,171,266,175)
(126,395,433,489,668)(127,667,458,285,199)(135,299,403,222,546)
(138,233,306,685,339)(139,674,239,586,375)(146,390,362,456,412)
(148,630,352,256,580)(155,417,537,186,669)(156,666,208,576,371)
(157,264,479,398,484)(158,205,250,351,481)(159,504,438,246,467)
(163,566,461,590,560)(167,213,442,187,480)(169,506,378,570,465)
(170,677,294,638,231)(173,249,634,532,184)(174,431,365,621,263)
(176,526,608,272,665)(177,673,649,460,404)(188,486,196,498,502)
(190,309,693,518,625)(192,670,194,451,215)(195,627,259,409,474)
(197,252,624,562,327)(203,380,295,384,245)(206,529,482,440,242)
(207,226,549,579,459)(211,490,609,454,521)(212,276,320,422,616)
(217,463,633,288,550)(219,302,397,601,477)(223,307,535,248,575)
(225,614,318,258,314)(232,522,316,487,345)(235,305,464,361,651)
(236,325,331,462,332)(251,587,543,692,301)(254,663,689,354,574)
(257,358,636,591,382)(260,538,626,385,564)(261,402,407,338,662)
(269,561,405,510,652)(273,637,441,640,686)(278,379,628,533,389)
(286,596,523,406,359)(287,292,394,391,503)(303,470,408,347,372)
(304,326,439,542,613)(313,565,654,399,466)(317,659,610,525,429)
(322,552,595,647,656)(369,618,453,499,648)(392,553,611,678,445)
(435,679,495,683,598)(501,675,660,642,527)(593,688,691,620,629) ] ],
[ 3, 27590492160, 0, "2", [ [ 180, 1 ], [ 512, 1 ] ], 1, "PGU(6, 2)",
[ "2A", [ 5, 2 ], 1 ],
[ ( 2, 3, 5)( 4, 7, 12)( 6, 10, 18)( 8, 14, 26)( 9, 16, 20)
( 11, 21, 37)( 13, 24, 44)( 15, 28, 52)( 17, 31, 39)( 19, 34, 62)
( 22, 40, 73)( 23, 42, 46)( 25, 47, 84)( 27, 50, 90)( 29, 53, 94)
( 30, 55, 98)( 32, 58, 75)( 33, 60,100)( 35, 65,115)( 36, 68, 64)
( 38, 70,125)( 41, 76,135)( 43, 51, 86)( 45, 81,145)( 48, 87,156)
( 49, 89, 92)( 54, 96,138)( 56,101,173)( 57,103, 91)( 59,106,136)
( 61,109,174)( 63,112,189)( 66,118,200)( 67,121,117)( 69,123,178)
( 71,128,130)( 72,131,127)( 74,133,219)( 77,137,223)( 78,139,227)
( 79,141,158)( 80,143,229)( 82,148,150)( 83,151,147)( 85,153,190)
( 88,159,247)( 93,163,126)( 95,166,260)( 99,171,266)(102,175,220)
(104,179,124)(105,181,278)(107,183,225)(108,184,284)(110,185,270)
(111,187,289)(113,192,194)(114,195,191)(116,197,146)(119,203,305)
(120,205,202)(122,207,291)(129,214,293)(132,217,280)(134,222,221)
(140,230,329)(142,233,248)(144,234,201)(149,239,236)(152,213,255)
(154,155,243)(157,245,343)(160,249,345)(161,251,347)(162,253,352)
(164,256,242)(165,258,224)(167,259,360)(168,226,325)(170,265,285)
(172,268,267)(176,271,370)(177,206,308)(180,276,299)(182,281,384)
(186,287,372)(188,292,232)(193,295,254)(196,274,376)(198,275,302)
(199,238,300)(204,290,306)(208,244,342)(209,273,353)(210,311,379)
(211,313,341)(212,314,316)(215,298,318)(216,294,396)(218,320,304)
(228,327,317)(231,330,279)(235,333,432)(237,335,337)(240,241,339)
(246,344,310)(250,348,453)(252,350,269)(257,357,340)(261,324,425)
(262,364,361)(272,373,288)(277,380,334)(282,386,321)(283,323,423)
(286,389,499)(296,400,402)(297,355,399)(301,405,496)(303,408,403)
(307,395,506)(309,410,459)(312,331,433)(315,414,398)(319,411,521)
(322,421,477)(328,417,429)(332,435,541)(336,440,431)(338,397,508)
(346,450,558)(349,455,351)(354,460,462)(358,465,461)(359,424,484)
(362,469,388)(363,471,467)(365,474,584)(366,475,428)(367,394,505)
(368,476,447)(369,478,559)(371,481,594)(375,485,393)(377,385,409)
(378,488,597)(381,487,413)(382,492,504)(383,494,437)(390,422,532)
(391,502,613)(401,463,513)(404,515,596)(406,516,441)(407,419,518)
(412,522,624)(416,510,525)(418,528,631)(426,470,534)(430,486,543)
(434,497,607)(436,439,537)(438,544,520)(442,539,548)(443,448,555)
(444,552,446)(445,553,509)(449,551,641)(451,561,531)(452,564,560)
(454,566,589)(456,569,653)(457,570,644)(458,572,482)(464,524,628)
(466,575,554)(468,579,578)(473,581,634)(479,590,533)(480,592,615)
(490,601,599)(493,602,542)(495,605,603)(500,609,662)(501,611,567)
(503,616,610)(507,514,621)(512,574,656)(517,625,623)(519,549,523)
(526,630,655)(529,632,545)(530,598,638)(535,580,595)(538,637,606)
(550,640,679)(556,557,645)(563,608,612)(565,646,591)(582,636,681)
(587,659,672)(588,661,633)(593,660,678)(604,670,669)(614,676,692)
(617,643,683)(620,629,642)(622,649,682)(626,680,668)(647,685,673)
(648,674,666)(651,663,686)(654,687,665)(664,675,688)(677,693,684),
( 1, 2, 4, 8, 15, 29, 54, 97,169,264)( 3, 6, 11, 22, 41, 77,138,
226,326,428)( 5, 9, 17, 32, 59,107, 96,168,263,366)
( 7, 13, 25, 48, 88, 94,165,259,361,468)( 10, 19, 35, 66,119,183,283,
388,471,581)( 12, 23, 43, 79,142, 53, 95,167,262,365)
( 14, 27, 51, 93,164,257,358,466,313,203)( 16, 30, 56,102,176,272,374,
484,595,584)( 18, 33, 61,110,186,288,392,469,580,579)
( 20, 36, 67,120,204,223,323,424,534,634)( 21, 38, 71,129,106)
( 24, 45, 82,149,233)( 26, 49, 84,152,242,340,445,554,396,306)
( 28, 34, 63,113,193,296,401,512, 87,157)( 31, 57,104,180,277,381,253,
76, 60,108)( 37, 69,124,210,312,413,353,136, 98,170)( 39, 72,130,215,
135)( 40, 74,127,213,316,416,527,630,518,626)( 42, 78,140,231,331,
434,376,205,307,285)( 44, 80,144,235,334,438,308,200,303,184)
( 46, 83,150,240,247)( 47, 85,154,141,232)( 50, 91,162,245,266,367,
389,500,610,506)( 52, 64,114,194,297,402,513,620,158,246)
( 55, 99,121,206,300,311,412,523,143,159)( 58,105,182,282,387,414,524,
629,318,417)( 62,111,188,291,305)( 65,116,198,301,406)
( 68,122,208,187,290)( 70,126,212,315,415,526,405,517, 75,134)
( 73,132,218,321,420,525,628,656,214,317)( 81,146,237,336,441,251,271,
371,482,109)( 86,155,153,156,244)( 89,160,250,349,456)
( 90,161,252,351,458)( 92,123,209,310,268,368,477,587,660,408)
(100,172,115,196,197,299,404,516,227,248)(101,112,190,294,397)
(103,177,273,375,486,596,667,330,431,538)(117,199,302,407,519)
(118,201,304,409,520)(125,211,133,220,322,422,533,561,648,171)
(131,216,221,185,286,390,501,612,674,267)(137,224,324,426,536,636,592,
665,552,265)(139,228,249,346,451,562,649,686,693,219)
(145,236,181,279,383,495,602,669,624,680)(147,238,337,442,549,345,372,
481,569,173)(148,179,275,377,487)(151,241,280,333,437,545,631,670,
515,623)(163,254,354,461,574)(166,261,363,472,582,613,675,508,284,225
)(174,191,243,341,446)(175,269,369,479,591,664,485,384,496,606)
(178,274,352,459,541,522,627,432,539,638)(189,293,395,507,617,589,661,
659,687,429)(192,256,356,463,575)(195,298,403,514,622,478,588,662,
688,327)(202,230,281,385,497)(207,309,411,488,598)(217,319,418,529,
601,625,476,564,651,678)(222,229,328,347,452,563,650,683,685,692)
(234,332,436,544,239,338,443,550,615,677)(255,355,462,553,642)
(258,359,467,578,657)(260,362,470,474,585)(270,348,454,567,570,654,
410,320,419,530)(276,378,489,521,433,540,295,398,509,618)
(278,382,493,603,597,668,505,558,647,616)(287,391,503,292,394)
(289,393,504,599,637)(314,400,511,619,357,464,576,335,439,546)
(325,427,475,586,658)(329,430,537,607,339,444,551,640,502,614)
(342,447,370,480,593)(343,448,556,644,684)(344,449,557,646,676)
(350,457,571,421,531,572,555,643,672,690)(360,364,473,583,423)
(373,483,425,535,635,681,594,666,621,679)(379,490,600,492,380,491,399,
510,465,577)(386,498,460,573,655)(435,542,632,548,639)
(440,547,543,528,605)(450,559,611,673,691)(453,565,652,499,608,653,
641,682,609,671)(455,568,645,532,633)(494,604)(560,566,590,663,689)
] ],
[ 4, 55180984320, 0, "2", [ [ 180, 1 ], [ 512, 1 ] ], 1, "PGammaU(6, 2)",
[ "2A", [ 5, 2 ], 1 ],
[ ( 1,565,514,662,305,169,371,667,482,228,231,455,326,302,624, 48,488,259,
88,152,131,675,494,419, 69,586,387,647,553,205,287,297,223)
( 2,211,276,454,412,558,209,201,572, 89,609)( 3, 47,684,457,521,453,
574,295,650,549,122,425,236,337,467, 90, 75,396,429,218, 42,280,515,
298,104,478, 36,620, 40,158, 35,184,604)( 4, 67,101,266,582,550,410,
27,463,258,349,289,456,374,102,621,157,379,411,451,143,437,278, 93,
195,154,408,113,118, 76,418,109,464)( 5,103,142,340,491,389,200,493,
458, 54, 16,659,506,311,490,271,107,598,401,444,123,171,460,658,638,
422,397,208,166,400, 60,648,342)( 6,645,692,335,352,470,610,286,562,
344,324,330,217,237,505,190,431, 72,243,338,151,385,292, 12,447,466,
688,312,643,665,370,619,672)( 7,682, 61,132,197,556,127,522,569, 41,
185,207,678,299,517, 32, 94,603,500,182, 68, 85,314,141,637, 71, 46,
623,160,427, 98, 50,279)( 8,405,373, 9,369,403,660,105,421,294,634,
630,474,587,175,398,275,254,668,585,441,663,343,484,580,499,301,674,
204,557,267,238,357)( 10,213,210,629,438,471,114,136,655,168,333)
( 11,547, 92,220, 51,508,382, 34, 58,407,685)( 13,607,497, 52,262,644,
423, 95, 31,281,608,618,121,443,394,599,424,554,139,616,126,321,350,
196,384,677,439,380,219,233,355,274,445)( 14,661,332,375,626, 56,414,
594,111,167,336, 81, 15,341,174,291,191,584,631, 29,465,566,164,368,
489,501, 53,627,570,366,670,531,416)( 17,348,308,235, 38,544,377, 74,
347,128,226,345,519,552,689, 37,551,595,124,622,181,537,683,146,255,
273,571,446,596,614,306,669,686)( 18, 63,159,329,134,428,230,145,513,
625,636,270,393,392,543,283,561,170,526,563,187,178,253,180,120,512,
693,386,216,192,360,316,148)( 19,442,654,671,448,409,334,617,450, 82,
502)( 20,257,198, 59,649,252, 87,666,653,268,583)( 21,469,161,362,
548,496,172,589, 23,130, 64, 70,440, 79,331,472,277,691,480,642,212,
135,420,579,545,615,613,363,322,426,234,680,319)( 22,479,376,507,108,
140,541,573,229, 65,125)( 24,241,194,244, 62,434,251,202,433,188,165)
( 25, 78,179, 91, 28,183,657,461,628,449,381,452,533,588,568,323, 99,
432,402,356,100, 45,149, 66,221,395,676,687,353,282,383,186,679)
( 26, 77,516,315, 55,473,293,346,288,530,354)( 30,144,536,133,239,673,
162,269,404,542,578,117,284,591,367,560,597,137,600,272,358,592,555,
250,518,633,318,635,232, 44,462,481,525)( 33,176,559,193,567,606,485,
468,225,605,264)( 39,263,546,156,222,245,435,224,199, 84,303,317,539,
83,119,476,413,577,112, 73,215,138,495,391,310,652,575,256,313,538,
486,564,150)( 43,365,364,261,390,106,399,492,527,639,147)
( 49,153,247,498,359,523,300,110,304,664,534)( 57,681,129,483,203,309,
96,415,510,511,265)( 80,372,361,581,459,417,524,430,296,540,602,611,
206,532,325,248,529,351,285,528,115,475,189,520,651,601,590,290, 97,
406,509,320,612)( 86,227,477,177,339,503,328,641,576,214,504)
(116,646,260,173,246,163,327,249,487,307,378)(155,242,640,632,388,240,
436,690,535,593,656),
( 1,597,237, 57,126,493,225,617, 55,377,158, 59)( 2,119,632,460, 35,
528,353, 60,184,217,283,523)( 3,310,469,266,553,264,351, 74,263, 91,
419,388)( 4,204,669,268, 86,437, 96,683,103,243,532, 71)
( 5, 37,286,223,640,383,389,472,207,654,607, 82)( 6,473,603,183,340,
511,404,133, 34,535,485,338)( 7,487,450,609,538,386, 77,387,458,275,
147, 76)( 8,633,504, 68,516,508,392,509,548,222,410,146)
( 9, 29,169, 69,175,167,111,691,362,172,514,484)( 10,494,421,292)
( 11,274,323,195)( 12,280,452,333,662,415,288,356, 81,190,517,466)
( 13,177,354,448,174,403,442,281,132,428,390,455)( 14,285,673,451,519,
414,641,214, 88,655,297,199)( 15,262,309,653, 30,541,224,505,554,343,
445,518)( 16,245,379, 54,420,631,162,100,693,666,135,381)
( 17,591,296,151,315,497, 95,294,618,328,667,365)( 18,601,359,672,216,
360,291,380,168,500,642,226)( 19,293,384,347, 56,444,312,660,461,467,
483, 93)( 20,503,299,148,394,321,506,277, 70,314,471,205)
( 21,476,255,578,545,468,249,121,510,370,634,306)( 22,567,409,131,422,
547,258,298,330,656, 39,150)( 23,185,304, 72, 53,550, 83,621,479, 36,
568,332)( 24,587,612,441,585,357,186,604,215,418,648,540)
( 25,246, 67, 89,375, 42,423,570,260,637,525,544)( 26,412,456,492,595,
118,589,122,236,396,107,619)( 27,366,490,671)( 28, 38, 45,584,251,
443,449,358,336,335,475,361)( 31,348,342,457,527,624,690,112,278,287,
79,681)( 32,374, 65,143,149,502,165, 43,345,313,265,495)
( 33,425,235, 49,427,582,593,324,279,114, 97,556)( 40,369,128,685,159,
680,551, 84,316,453,430,267)( 41,364,501,431,482,200,197,571,496,320,
378,163)( 44,560,331,647,250,638,684,311,465,531,337,206)
( 46,650,368,406,350,210,196, 58, 51,355,480,481)( 47,663,233,651,400,
242,652,530,229,180,152,446)( 48,533,577,436)( 50,664,596,552,636,
181,252,373,645,542,303,188)( 52,105,470,590,432, 78,536,130,161,629,
628,301)( 61, 75,352,676,218,212,166,566,289,248,344,244)
( 62,376,522,579,157,273)( 63,254,677,367, 92,555,407,397,463,426,134,
534)( 64,363,191,141,108,156,438,562,574,164,439,193)
( 66,658,679,630,668,549,602,675,334,616,123,627)( 73,208,657,682,198,
464,454,573,580,219,171, 99)( 80,102,588,170, 94,649,569,270,543,614,
689,382)( 85,125,203,524,563,221)( 87,586,498,271,625,178,282,687,
232,139,231,155)( 90,489,440,644,140,241, 98,329,513,371,576,327)
(101,173,462,608,435,153,160,478,639,558,240,659)(104,417,499)
(106,127,256,429)(109,564,447,646)(110,611,424)(113,539,565,201,247,
610,179,537,581,194,434,189)(115,477,120,661,688,401,559,349,116,228,
137,622)(117,307,339,319,665,238,635,187,592,598,138,257)
(124,546,234,230)(129,385,686,512,623,227)(136,305,678,433,399,202,
491,692,211,411,575,295)(142,670,600,239,302,192)(144,520,322)
(145,372,488,615,269,318,284,529,405,474,526,290)(154,626)
(176,605,346,276)(182,325,220,521,326,507)(209,272,557,674)
(213,393,459,613,594,486,398,402,413,308,620,599)(259,583,643)
(300,317,416,561)(341,408,572,606,515,391) ] ],
[5, Factorial(693)/2,1,"2",[[692,1]],691, "Alt(693)", ["A",693, 1], "Alt"],
[6, Factorial(693),0,"2",[[692, 1]],693, "Sym(693)", ["A",693, 1], "Sym"]];
PRIMGRP[694]:=
[[1, Factorial(694)/2,1,"2",[[693,1]],692, "Alt(694)", ["A",694, 1], "Alt"],
[2, Factorial(694),0,"2",[[693, 1]],694, "Sym(694)", ["A",694, 1], "Sym"]];
PRIMGRP[695]:=
[[1, Factorial(695)/2,1,"2",[[694,1]],693, "Alt(695)", ["A",695, 1], "Alt"],
[2, Factorial(695),0,"2",[[694, 1]],695, "Sym(695)", ["A",695, 1], "Sym"]];
PRIMGRP[696]:=
[[1, Factorial(696)/2,1,"2",[[695,1]],694, "Alt(696)", ["A",696, 1], "Alt"],
[2, Factorial(696),0,"2",[[695, 1]],696, "Sym(696)", ["A",696, 1], "Sym"]];
PRIMGRP[697]:=
[[1, Factorial(697)/2,1,"2",[[696,1]],695, "Alt(697)", ["A",697, 1], "Alt"],
[2, Factorial(697),0,"2",[[696, 1]],697, "Sym(697)", ["A",697, 1], "Sym"]];
PRIMGRP[698]:=
[[1, Factorial(698)/2,1,"2",[[697,1]],696, "Alt(698)", ["A",698, 1], "Alt"],
[2, Factorial(698),0,"2",[[697, 1]],698, "Sym(698)", ["A",698, 1], "Sym"]];
PRIMGRP[699]:=
[[1, Factorial(699)/2,1,"2",[[698,1]],697, "Alt(699)", ["A",699, 1], "Alt"],
[2, Factorial(699),0,"2",[[698, 1]],699, "Sym(699)", ["A",699, 1], "Sym"]];
PRIMGRP[700]:=
[[1, Factorial(700)/2,1,"2",[[699,1]],698, "Alt(700)", ["A",700, 1], "Alt"],
[2, Factorial(700),0,"2",[[699, 1]],700, "Sym(700)", ["A",700, 1], "Sym"]];
PRIMGRP[701]:=
[[1, Factorial(701)/2,1,"2",[[700,1]],699, "Alt(701)", ["A",701, 1], "Alt"],
[2, Factorial(701),0,"2",[[700, 1]],701, "Sym(701)", ["A",701, 1], "Sym"],
[ 3, 701, 3, "1", [ [ 1, 700 ] ], 1, "C(701)", [ "Z", 701, 1 ], [ ] ],
[ 4, 1402, 2, "1", [ [ 2, 350 ] ], 1, "D(2*701)", [ "Z", 701, 1 ],
[ [ [ Z(701)^350 ] ] ] ],
[ 5, 2804, 2, "1", [ [ 4, 175 ] ], 1, "701:4", [ "Z", 701, 1 ],
[ [ [ Z(701)^175 ] ] ] ],
[ 6, 3505, 2, "1", [ [ 5, 140 ] ], 1, "701:5", [ "Z", 701, 1 ],
[ [ [ Z(701)^140 ] ] ] ],
[ 7, 4907, 2, "1", [ [ 7, 100 ] ], 1, "701:7", [ "Z", 701, 1 ],
[ [ [ Z(701)^100 ] ] ] ],
[ 8, 7010, 2, "1", [ [ 10, 70 ] ], 1, "701:10", [ "Z", 701, 1 ],
[ [ [ Z(701)^70 ] ] ] ],
[ 9, 9814, 2, "1", [ [ 14, 50 ] ], 1, "701:14", [ "Z", 701, 1 ],
[ [ [ Z(701)^50 ] ] ] ],
[ 10, 14020, 2, "1", [ [ 20, 35 ] ], 1, "701:20", [ "Z", 701, 1 ],
[ [ [ Z(701)^35 ] ] ] ],
[ 11, 17525, 2, "1", [ [ 25, 28 ] ], 1, "701:25", [ "Z", 701, 1 ],
[ [ [ Z(701)^28 ] ] ] ],
[ 12, 19628, 2, "1", [ [ 28, 25 ] ], 1, "701:28", [ "Z", 701, 1 ],
[ [ [ Z(701)^25 ] ] ] ],
[ 13, 24535, 2, "1", [ [ 35, 20 ] ], 1, "701:35", [ "Z", 701, 1 ],
[ [ [ Z(701)^20 ] ] ] ],
[ 14, 35050, 2, "1", [ [ 50, 14 ] ], 1, "701:50", [ "Z", 701, 1 ],
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[ 15, 49070, 2, "1", [ [ 70, 10 ] ], 1, "701:70", [ "Z", 701, 1 ],
[ [ [ Z(701)^10 ] ] ] ],
[ 16, 70100, 2, "1", [ [ 100, 7 ] ], 1, "701:100", [ "Z", 701, 1 ],
[ [ [ Z(701)^7 ] ] ] ],
[ 17, 98140, 2, "1", [ [ 140, 5 ] ], 1, "701:140", [ "Z", 701, 1 ],
[ [ [ Z(701)^5 ] ] ] ],
[ 18, 122675, 2, "1", [ [ 175, 4 ] ], 1, "701:175", [ "Z", 701, 1 ],
[ [ [ Z(701)^4 ] ] ] ],
[ 19, 245350, 2, "1", [ [ 350, 2 ] ], 1, "701:350", [ "Z", 701, 1 ],
[ [ [ Z(701)^2 ] ] ] ],
[ 20, 490700, 2, "1", [ [ 700, 1 ] ], 2, "AGL(1, 701)", [ "Z", 701, 1 ],
[ [ [ Z(701) ] ] ] ]];
PRIMGRP[702]:=
[[ 1, 172235700, 1, "2", [ [ 701, 1 ] ], 2, "PSL(2, 701)",
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[ 2, 344471400, 0, "2", [ [ 701, 1 ] ], 3, "PGL(2, 701)",
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[3, Factorial(702)/2,1,"2",[[701,1]],700, "Alt(702)", ["A",702, 1], "Alt"],
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PRIMGRP[703]:=
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( 3,118,117, 98, 75,125, 14, 73, 24)( 6,662,590,457,247, 11,449,563,
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( 13,598, 31,338,526,183,413,513,586)( 16,331,351,120,330,121, 83, 99,
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( 26,647,639,170, 51,245,114,193,165)( 27, 88,458,570, 84,173,506, 80,
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168,152,171)( 32,309,540, 50,484,259,209,403,478)( 33,505,439,514,
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700,267,327)( 40,488,142,415,690,604,683,241,425)( 41,126,160,298,
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( 43,627,314,680,155,325,231,191,578)( 44,101,187,445,467,641,663,201,
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( 55,679,636,543, 92,199,518,432,248)( 56,490,347,602,396,475,215,162,
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324,252,528)( 62,311,472,156,303,608,568,305, 76)( 65,534,340,631,
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( 67,456,674,140,150,660,617,242,554)( 68,172,312,393,519,522, 94,492,
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668,108,175)( 71,364,541,220,378,234,423,372,318)( 77,671,362, 86,
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( 85,275,286,673,227,244,185,491,461)( 89,407,412,297,129,292,272,630,
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437,353,652)( 96,386,291,113,587,615,224,198,270)( 97,560,387,584,
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(109,464,450,599,148,249,531,664,651)(110,281,418,687,637,322,145,557,
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638,416,459,549,676)(133,237,702,529,363,675,233,607,216)
(136,436,499,640,377,243,223,446,466)(137,588,429,253,421,287,301,276,
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274,530,346)(158,434,628,616,455,420,523,408,655)(161,257,371,685,
544,382,344,677,179)(166,426,300,401,424,483,479,202,508)
(186,289,250,263,623,504,341,283,414)(192,293,562,610,438,533,594,613,
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( 1, 56,187,328,183,529,275,498,331,689,398,491,627,634,152,559,375,
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199,662,289,312,212,217)( 4,482,192,305,214,461, 72,252,540,440,609,
296,262,300,171,653,270,393,621)( 5,369, 46,392,572,455,366,290,584,
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105, 14, 45,628, 65, 59,602,631,158,573,203,643)( 15,229,576,566,368,
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30,191,509,157)( 21,565,351,188,651,656,102,698,241,272,535,113,301,
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557,647,205,395,701,500, 43,425,554, 31,116,598)( 27,295, 90,525,562,
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635,125,184, 79,702, 74,402,544)( 34,415,198, 82, 42,145,639,567,666,
283,416,551,178,446,302,434,447,612,423)( 37,420, 84,591,517,677,268,
456,594,360,389,547, 63, 71,459,581,353,230,377)( 38,355,511,588,324,
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322,284,478,174,615,200,287,684,571,222,354,586,664,220)
(117,632,546,680,397,645,127,613,193,413,281,237,149,379,317,585,695,
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520,493,417,189) ] ],
[ 2, 50616, 0, "2", [ [ 72, 1 ], [ 36, 17 ], [ 18, 1 ] ], 1, "PGL(2, 37)",
[ "L", [ 2, 37 ], 1 ],
[ ( 1, 2, 6, 26,126,483,369,679,261,555, 35,175,572,526, 86,374,663, 80,
355,518,597,698,277,637,457,460,674,688,461, 99,190,552,473,651,591,
217)( 3, 12, 59,286,546,293,643,111,449,366,327,529,304,252,373,490,
521, 77,198, 74,335,533, 93,398,377, 63,302,440,131, 9, 44,216,234,
617,263,211)( 4, 17, 84, 95,406,326,365, 68,319,168,381,695,649,242,
284,568,334,116,466,233,187,489,225,394,384, 10, 49,240,269,405,613,
485,520,140,510,266)( 5, 21,104, 16, 79, 89,387,576,616,283,608,305,
241, 56, 8, 38,188,427,259,567, 18, 90,388,696,459,112,271,113,455,
396,430,589,163,531,367,208)( 7, 32,159,543,547, 42,207,330,650,684,
564,697,390,541,470,209,127,484,583,178,402,294,537,303,339,450,146,
519,118, 92,395,309,243,180,428,296)( 11, 55, 13, 65,311,313,164, 47,
229,404,527,586,432,563,323,300,219,423,599,588,108, 24, 94,403,612,
640, 50,246,356,452,231,120,474,525,482,255)( 14, 70,322,279,429, 64,
307,325, 33,165,221,493,513,636, 98,415,268, 22,110,445,693,376,347,
523,434,682,444,689,264, 51,251,360,538,569,199,598)( 15, 76,340,443,
204,280,660,701,702, 72,329,166,134,494,676,703,530,476,652,627,239,
248,177,301,672,479, 71,205,604, 62,299,174,570,664,562,691)
( 19, 96,408,670,431, 27,132,491,245,262,142,135,139,378, 37,185,468,
336,665,368,678,654,699,297,507,282,288,539,343,278,158,289,554,456,
536,124)( 20,101,418,228,424,437,409,321,639,273,657,258,172, 75,338,
161,425, 46,223,603, 91,392, 36,179,575,577,285,614,196,107,416,677,
183,579,571,471)( 23,115,462,350,626,345,117,393,629,152,247, 34,169,
558,106,181,133,469,641,545,447,147,348,438,630,397,316,358,496, 60,
290,354,574,203,602,105)( 25,122,477,622,596,253,287,501,690,560,250,
270,130,128,410,314,155, 97,412,267, 30,150,372,508, 78,141,511,472,
561, 87,380,694, 53,260,308,157)( 28,138,504,420,291, 43,213, 67,153,
41, 81,359,391,114,439,557,448,532,624,620,621,332, 57,276,414,628,
615,362,202,453,675,542,254,556,681, 88)( 29,144,516,182,497,331,578,
197,171,540,236,162, 40, 52,256,265,375,156,186,584,647,573,206,486,
673,700,551,686,582,238,344,535,607, 39,193,590)( 31,154,385, 48,235,
312,119,458,463,151,389,123,480,401,298,671,413,534,685,272,451,653,
666,218,498,351,509,148,317,512,100,417,201,328,544,465)
( 45,220,237,487,475,149,522,492,503,226,625,605,611,610,481,634,341,
137,502,528,464,318,349, 83,363,436,692,192,109,442,346,121,275,619,
191,587)( 54,222,454,324,517,210,441,687,667,386,194,383,136,499,407,
638,644,659,478,306,658,585,249,173,565,103,426,633,662,145,292,594,
606,257,631,500)( 58,281,661,224,623,524,170, 85,370,646,342,200,580,
189,352,214,379,215)( 61,295,669,102,422,618, 66,315,310,446,399,467,
645,683,371,411,559,600,195,593, 73,333, 82,361,129,382,549,668,656,
176,566,642,244,184,581,648)( 69,143,514,167,433,680,435,515,550,274,
632,592,553,601,364,357,609,320,421,230,595,505,353,506,227,495,419,
232,488,125,212,400,635,337,160,548),
( 1, 3, 13)( 2, 7, 33)( 4, 18, 91)( 5, 22,111)( 6, 27,133)
( 8, 39,194)( 9, 32,160)( 10, 50,247)( 11, 56,273)( 12, 60,291)
( 14, 71,154)( 15, 77,346)( 16, 80,356)( 17, 85,371)( 19, 97,321)
( 20,102,202)( 21,105,430)( 23,116,325)( 24,119,470)( 25,123,302)
( 26,127,109)( 28,139,423)( 29,145, 88)( 30,151,526)( 31,155,533)
( 34,170,560)( 35,176,100)( 36,180,244)( 37,186,585)( 38,177,574)
( 40,103,427)( 41,203,317)( 42,208,314)( 43,187,298)( 44, 76,341)
( 45,221,181)( 46,224,351)( 47,230,444)( 48,236,500)( 49,241,293)
( 51,252,509)( 52,257,106)( 53,261,385)( 54,264,551)( 55,268,548)
( 57,277,506)( 58,282,216)( 59,287,663)( 61,197,594)( 62,300,335)
( 63,303,129)( 64,308,231)( 65,209,453)( 66,316,492)( 67,228,130)
( 68, 73,189)( 69, 78,140)( 70,323,412)( 72,253,608)( 74,336,394)
( 75,339,237)( 79,353,158)( 81,360,576)( 82,362,530)( 83,364,433)
( 84,365,274)( 86,375,659)( 87,381,275)( 89,167,555)( 90,270,604)
( 92,396,370)( 93,399,547)( 94,218,498)( 95,401,450)( 96,409,251)
( 98,206,606)( 99,416,393)(101,419,443)(104,428,580)(107,436,417)
(108,227,626)(110,446,267)(112,451,587)(113,456,635)(114,459,493)
(115,439,272)(117,468,201)(118,469,296)(120,475,668)(121,476,491)
(122,163,537)(124,432,701)(125,295,558)(126,455,219)(128,289,628)
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(137,359,304)(138,400,217)(141,411,640)(143,449,639)(144,517,378)
(146,198,595)(147,184,495)(148,387,605)(149,523,445)(150,191,505)
(152,377,657)(153,266,205)(156,383,410)(157,539,571)(159,544,326)
(161,369,520)(162,210,477)(164,529,698)(165,431,484)(166,307,389)
(168,557,329)(169,348,511)(171,499,617)(172,413,318)(173,207,607)
(174,429,577)(175,534,618)(178,372,691)(179,311,223)(182,565,614)
(183,259,229)(185,276,246)(188,462,703)(190,363,278)(192,527,646)
(193,306,338)(195,568,689)(196,503,543)(199,519,597)(200,482,528)
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(215,575,666)(220,573,633)(222,226,535)(225,586,525)(232,333,683)
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(240,602,598)(242,473,672)(245,616,566)(248,254,645)(250,366,483)
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(263,636,653)(265,631,676)(269,654,583)(271,572,357)(279,457,651)
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(305,319,392)(309,664,350)(312,403,541)(313,675,390)(315,522,563)
(322,660,425)(324,584,655)(327,620,345)(328,384,624)(330,632,532)
(331,441,679)(332,504,376)(337,611,694)(340,380,650)(342,647,454)
(347,623,680)(349,688,536)(352,438,501)(355,502,697)(361,685,531)
(367,512,467)(368,422,696)(373,540,407)(379,693,601)(386,447,700)
(388,610,556)(395,603,669)(397,677,398)(404,516,662)(405,559,415)
(406,464,692)(408,661,521)(418,448,596)(421,695,561)(424,562,488)
(437,542,642)(440,452,702)(458,570,553)(460,485,494)(466,643,567)
(472,588,593)(478,613,578)(479,552,549)(480,609,665)(481,510,508)
(487,629,656)(507,600,670)(518,641,699)(524,591,621)(538,625,545)
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149,166,185,204,225,246,269,292,317,342,369,396,425,454,485,516,549,
582,617,651)( 8, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99,113,129,145,
163,181,201,221,243,265,289,313,339,365,393,421,451,481,513,545,579,
613,649,684,616,652)( 10, 14, 20, 26, 34, 42, 52, 62, 74, 86,100,114,
130,146,164,182,202,222,244,266,290,314,340,366,394,422,452,482,514,
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127,143,161,179,199,219,241,263,287,311,337,363,391,419,449,479,511,
543,577,611,647,682,548,583,619,654)( 18, 24, 32, 40, 50, 60, 72, 84,
98,112,128,144,162,180,200,220,242,264,288,312,338,364,392,420,450,
480,512,544,578,612,648,683,702,618,653,687)( 28, 37, 47, 57, 69, 81,
95,109,125,141,159,177,197,217,239,261,285,309,335,361,389,417,447,
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70, 82, 96,110,126,142,160,178,198,218,240,262,286,310,336,362,390,
418,448,478,510,542,576,610,646,681,701,550,584,620,655,688)
( 44, 55, 67, 79, 93,107,123,139,157,175,195,215,237,259,283,307,333,
359,387,415,445,475,507,539,573,607,643,678,424,455,487,519,553,587,
623,658)( 46, 56, 68, 80, 94,108,124,140,158,176,196,216,238,260,284,
308,334,360,388,416,446,476,508,540,574,608,644,679,700,486,518,552,
586,622,657,689)( 64, 77, 91,105,121,137,155,173,193,213,235,257,281,
305,331,357,385,413,443,473,505,537,571,605,641,676,368,397,427,457,
489,521,555,589,625,660)( 66, 78, 92,106,122,138,156,174,194,214,236,
258,282,306,332,358,386,414,444,474,506,538,572,606,642,677,699,426,
456,488,520,554,588,624,659,690)( 88,103,119,135,153,171,191,211,233,
255,279,303,329,355,383,411,441,471,503,535,569,603,639,674,316,343,
371,399,429,459,491,523,557,591,627,662)( 90,104,120,136,154,172,192,
212,234,256,280,304,330,356,384,412,442,472,504,536,570,604,640,675,
698,370,398,428,458,490,522,556,590,626,661,691)(116,133,151,169,189,
209,231,253,277,301,327,353,381,409,439,469,501,533,567,601,637,672,
268,293,319,345,373,401,431,461,493,525,559,593,629,664)
(118,134,152,170,190,210,232,254,278,302,328,354,382,410,440,470,502,
534,568,602,638,673,697,318,344,372,400,430,460,492,524,558,592,628,
663,692)(148,167,187,207,229,251,275,299,325,351,379,407,437,467,499,
531,565,599,635,670,224,247,271,295,321,347,375,403,433,463,495,527,
561,595,631,666)(150,168,188,208,230,252,276,300,326,352,380,408,438,
468,500,532,566,600,636,671,696,270,294,320,346,374,402,432,462,494,
526,560,594,630,665,693)(184,205,227,249,273,297,323,349,377,405,435,
465,497,529,563,597,633,668)(186,206,228,250,274,298,324,350,378,406,
436,466,498,530,564,598,634,669,695,226,248,272,296,322,348,376,404,
434,464,496,528,562,596,632,667,694),
( 1, 2, 4)( 3, 6, 10)( 5, 8, 9)( 7, 12, 18)( 11, 16, 17)
( 15, 22, 30)( 21, 28, 29)( 27, 36, 46)( 35, 44, 45)( 43, 54, 66)
( 53, 64, 65)( 63, 76, 90)( 75, 88, 89)( 87,102,118)(101,116,117)
(115,132,150)(131,148,149)(147,166,186)(165,184,185)(183,204,226)
(203,224,225)(223,246,270)(245,268,269)(267,292,318)(291,316,317)
(315,342,370)(341,368,369)(367,396,426)(395,424,425)(423,454,486)
(453,484,485)(483,516,550)(515,548,549)(547,582,618)(581,616,617)
(615,651,686) ] ],
[ 4, 523022617466601111760007224100074291200000000, 0, "2",
[ [ 630, 1 ], [ 72, 1 ] ], 1, "Sym(38)", [ "A", 38, 1 ],
[ ( 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)( 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,
291,308,326,344,363,382,381)( 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,
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46, 53, 60, 68, 76, 85, 94,104,114,125,136,148,160,173,186,200,214,
229,244,260,276,293,310,328,346,365,384,403,422,421,440,459)
( 25, 30, 35, 41, 47, 54, 61, 69, 77, 86, 95,105,115,126,137,149,161,
174,187,201,215,230,245,261,277,294,311,329,347,366,385,404,423,442,
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150,162,175,188,202,216,231,246,262,278,295,312,330,348,367,386,405,
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128,139,151,163,176,189,203,217,232,247,263,279,296,313,331,349,368,
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108,118,129,140,152,164,177,190,204,218,233,248,264,280,297,314,332,
350,369,388,407,426,445,464,483,502,501,520,539,558,577,596,613)
( 81, 90, 99,109,119,130,141,153,165,178,191,205,219,234,249,265,281,
298,315,333,351,370,389,408,427,446,465,484,503,522,521,540,559,578,
597,614,629,643)(100,110,120,131,142,154,166,179,192,206,220,235,250,
266,282,299,316,334,352,371,390,409,428,447,466,485,504,523,542,541,
560,579,598,615,630,644,656,667)(121,132,143,155,167,180,193,207,221,
236,251,267,283,300,317,335,353,372,391,410,429,448,467,486,505,524,
543,562,561,580,599,616,631,645,657,668,677,685)(144,156,168,181,194,
208,222,237,252,268,284,301,318,336,354,373,392,411,430,449,468,487,
506,525,544,563,582,581,600,617,632,646,658,669,678,686,692,697)
(169,182,195,209,223,238,253,269,285,302,319,337,355,374,393,412,431,
450,469,488,507,526,545,564,583,595,601,618,633,647,659,670,679,687,
693,698,701,703)(196,210,224,239,254,270,286,303,320,338,356,375,394,
413,432,451,470,489,508,527,546,565,584,602,556,575,594,612,628,642,
655,666,676,684,691,696,700,702)(225,240,255,271,287,304,321,339,357,
376,395,414,433,452,471,490,509,528,547,566,585,603,619,517,536,555,
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340,358,377,396,415,434,453,472,491,510,529,548,567,586,604,620,634,
478,497,516,535,554,573,592,610,626,640,653,664,674,682,689,694)
(289,306,323,341,359,378,397,416,435,454,473,492,511,530,549,568,587,
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663,673,681,688)(324,342,360,379,398,417,436,455,474,493,512,531,550,
569,588,606,622,636,649,660,400,419,438,457,476,495,514,533,552,571,
590,608,624,638,651,662,672,680)(361,380,399,418,437,456,475,494,513,
532,551,570,589,607,623,637,650,661,671),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 42, 49)( 56, 64)( 72, 81)
( 90,100)(110,121)(132,144)(156,169)(182,196)(210,225)(240,256)
(272,289)(306,324)(342,361)(362,381)(380,400)(382,401)(402,421)
(419,439)(422,441)(442,461)(458,478)(462,481)(482,501)(497,517)
(502,521)(522,541)(536,556)(542,561)(562,581)(575,595)(582,601) ] ],
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[6, Factorial(703),0,"2",[[702, 1]],703, "Sym(703)", ["A",703, 1], "Sym"]];
PRIMGRP[704]:=
[[1, Factorial(704)/2,1,"2",[[703,1]],702, "Alt(704)", ["A",704, 1], "Alt"],
[2, Factorial(704),0,"2",[[703, 1]],704, "Sym(704)", ["A",704, 1], "Sym"]];
PRIMGRP[705]:=
[[1, Factorial(705)/2,1,"2",[[704,1]],703, "Alt(705)", ["A",705, 1], "Alt"],
[2, Factorial(705),0,"2",[[704, 1]],705, "Sym(705)", ["A",705, 1], "Sym"]];
PRIMGRP[706]:=
[[1, Factorial(706)/2,1,"2",[[705,1]],704, "Alt(706)", ["A",706, 1], "Alt"],
[2, Factorial(706),0,"2",[[705, 1]],706, "Sym(706)", ["A",706, 1], "Sym"]];
PRIMGRP[707]:=
[[1, Factorial(707)/2,1,"2",[[706,1]],705, "Alt(707)", ["A",707, 1], "Alt"],
[2, Factorial(707),0,"2",[[706, 1]],707, "Sym(707)", ["A",707, 1], "Sym"]];
PRIMGRP[708]:=
[[1, Factorial(708)/2,1,"2",[[707,1]],706, "Alt(708)", ["A",708, 1], "Alt"],
[2, Factorial(708),0,"2",[[707, 1]],708, "Sym(708)", ["A",708, 1], "Sym"]];
PRIMGRP[709]:=
[[1, Factorial(709)/2,1,"2",[[708,1]],707, "Alt(709)", ["A",709, 1], "Alt"],
[2, Factorial(709),0,"2",[[708, 1]],709, "Sym(709)", ["A",709, 1], "Sym"],
[ 3, 709, 3, "1", [ [ 1, 708 ] ], 1, "C(709)", [ "Z", 709, 1 ], [ ] ],
[ 4, 1418, 2, "1", [ [ 2, 354 ] ], 1, "D(2*709)", [ "Z", 709, 1 ],
[ [ [ Z(709)^354 ] ] ] ],
[ 5, 2127, 2, "1", [ [ 3, 236 ] ], 1, "709:3", [ "Z", 709, 1 ],
[ [ [ Z(709)^236 ] ] ] ],
[ 6, 2836, 2, "1", [ [ 4, 177 ] ], 1, "709:4", [ "Z", 709, 1 ],
[ [ [ Z(709)^177 ] ] ] ],
[ 7, 4254, 2, "1", [ [ 6, 118 ] ], 1, "709:6", [ "Z", 709, 1 ],
[ [ [ Z(709)^118 ] ] ] ],
[ 8, 8508, 2, "1", [ [ 12, 59 ] ], 1, "709:12", [ "Z", 709, 1 ],
[ [ [ Z(709)^59 ] ] ] ],
[ 9, 41831, 2, "1", [ [ 59, 12 ] ], 1, "709:59", [ "Z", 709, 1 ],
[ [ [ Z(709)^12 ] ] ] ],
[ 10, 83662, 2, "1", [ [ 118, 6 ] ], 1, "709:118", [ "Z", 709, 1 ],
[ [ [ Z(709)^6 ] ] ] ],
[ 11, 125493, 2, "1", [ [ 177, 4 ] ], 1, "709:177", [ "Z", 709, 1 ],
[ [ [ Z(709)^4 ] ] ] ],
[ 12, 167324, 2, "1", [ [ 236, 3 ] ], 1, "709:236", [ "Z", 709, 1 ],
[ [ [ Z(709)^3 ] ] ] ],
[ 13, 250986, 2, "1", [ [ 354, 2 ] ], 1, "709:354", [ "Z", 709, 1 ],
[ [ [ Z(709)^2 ] ] ] ],
[ 14, 501972, 2, "1", [ [ 708, 1 ] ], 2, "AGL(1, 709)", [ "Z", 709, 1 ],
[ [ [ Z(709) ] ] ] ]];
PRIMGRP[710]:=
[[ 1, 178200060, 1, "2", [ [ 709, 1 ] ], 2, "PSL(2, 709)",
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[ 2, 356400120, 0, "2", [ [ 709, 1 ] ], 3, "PGL(2, 709)",
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[3, Factorial(710)/2,1,"2",[[709,1]],708, "Alt(710)", ["A",710, 1], "Alt"],
[4, Factorial(710),0,"2",[[709, 1]],710, "Sym(710)", ["A",710, 1], "Sym"]];
PRIMGRP[711]:=
[[1, Factorial(711)/2,1,"2",[[710,1]],709, "Alt(711)", ["A",711, 1], "Alt"],
[2, Factorial(711),0,"2",[[710, 1]],711, "Sym(711)", ["A",711, 1], "Sym"]];
PRIMGRP[712]:=
[[1, Factorial(712)/2,1,"2",[[711,1]],710, "Alt(712)", ["A",712, 1], "Alt"],
[2, Factorial(712),0,"2",[[711, 1]],712, "Sym(712)", ["A",712, 1], "Sym"]];
PRIMGRP[713]:=
[[1, Factorial(713)/2,1,"2",[[712,1]],711, "Alt(713)", ["A",713, 1], "Alt"],
[2, Factorial(713),0,"2",[[712, 1]],713, "Sym(713)", ["A",713, 1], "Sym"]];
PRIMGRP[714]:=
[[1, Factorial(714)/2,1,"2",[[713,1]],712, "Alt(714)", ["A",714, 1], "Alt"],
[2, Factorial(714),0,"2",[[713, 1]],714, "Sym(714)", ["A",714, 1], "Sym"]];
PRIMGRP[715]:=
[[ 1, 3113510400, 1, "2", [ [ 36, 1 ], [ 126, 1 ], [ 336, 1 ], [ 216, 1 ] ],
1, "Alt(13)", [ "A", 13, 1 ],
[ ( 1, 2, 3, 5, 9, 16, 27, 43, 65, 94,131)( 4, 7, 13, 23, 38, 59, 87,
123,168,132,177)( 6, 11, 20, 34, 54, 81,116,160,212,264,328)
( 8, 15, 26, 42, 64, 93,130,176,229,178,230)( 10, 18, 31, 50, 76,110,
153,204,256,314,356)( 12, 22, 37, 58, 86,122,167,220,265,329,277)
( 14, 25, 41, 63, 92,129,175,228,221,180,233)( 17, 29, 47, 72,105,147,
197,249,302,385,368)( 19, 33, 53, 80,115,159,211,257,315,405,283)
( 21, 36, 57, 85,121,166,219,272,136,184,237)( 24, 40, 62, 91,128,174,
227,213,266,331,430)( 28, 45, 69,101,142,191,243,292,369,475,384)
( 30, 49, 75,109,152,203,250,303,386,492,291)( 32, 52, 79,114,158,210,
263, 99,140,189,242)( 35, 56, 84,120,165,218,271,341,449,491,577)
( 39, 61, 90,127,173,226,205,258,317,408,512)( 44, 67, 98,138,186,238,
284,357,464,559,404)( 46, 71,104,146,196,244,293,370,477,569,301)
( 48, 74,108,151,202,255, 70,103,145,195,248)( 51, 78,113,157,209,262,
325,423,529,567,612)( 55, 83,119,164,217,270,339,445,476,568,613)
( 60, 89,126,172,225,198,251,305,389,494,578)( 66, 96,135,182,234,278,
349,458,554,597,427)( 68,100,141,190,239,285,358,466,562,606,313)
( 73,107,150,201,254,311,400,506,585,603,645)( 77,112,156,208,261,323,
419,524,560,604,646)( 82,118,163,216,269,337,441,465,561,605,647)
( 88,125,171,224,192,245,295,373,479,570,614)( 95,133,179,231,274,345,
454,550,592,633,453)( 97,137,185,235,279,350,460,557,601,643,327)
(102,144,194,247,299,380,486,574,619,639,676)(106,149,200,253,309,396,
501,582,598,640,677)(111,155,207,260,321,415,519,555,599,641,678)
(117,162,215,268,335,437,459,556,600,642,679)(124,170,223,187,240,287,
361,468,563,607,648)(134,181,232,275,346,456,553,596,638,675,343)
(139,188,241,289,364,470,564,608,649,670,697)(143,193,246,297,376,481,
571,615,634,671,698)(148,199,252,307,392,496,579,593,635,672,699)
(154,206,259,319,411,514,551,594,636,673,700)(161,214,267,333,433,455,
552,595,637,674,701)(169,222,183,236,281,353,462,558,602,644,680)
(273,344,347,457,473,489,509,532,548,330,429)(276,348,351,461,484,504,
527,545,316,407,428)(280,352,359,467,499,522,542,304,388,406,511)
(282,354,365,471,565,609,650,342,451,332,431)(286,360,371,478,517,539,
294,372,387,493,536)(288,362,377,482,572,616,326,425,450,334,435)
(290,366,381,487,575,620,340,447,318,409,434)(296,374,393,497,580,312,
402,424,530,336,439)(298,378,397,502,583,324,421,446,320,413,438)
(300,382,401,507,586,338,443,306,390,412,515)(308,394,416,520,310,398,
420,525,322,417,442)(355,463,472,566,610,651,681,452,549,432,534)
(363,469,483,573,617,654,426,533,547,436,537)(367,474,488,576,621,657,
448,546,410,513,535)(375,480,498,581,623,403,510,531,591,440,540)
(379,485,503,584,625,422,528,544,414,518,538)(383,490,508,587,627,444,
543,391,495,516,588)(395,500,521,589,399,505,526,590,418,523,541)
(611,653,684,705,715,702,712,632,669,629,666)(618,656,687,708,682,703,
713,664,695,630,667)(622,659,690,711,685,706,628,665,696,660,691)
(624,661,692,652,683,704,714,688,709,631,668)(626,663,694,655,686,707,
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( 7, 14, 15)( 9, 17, 30)( 11, 21, 22)( 13, 24, 26)( 16, 28, 46)
( 18, 32, 33)( 20, 35, 37)( 23, 39, 42)( 27, 44, 68)( 29, 48, 49)
( 31, 51, 53)( 34, 55, 58)( 38, 60, 64)( 43, 66, 97)( 45, 70, 71)
( 47, 73, 75)( 50, 77, 80)( 54, 82, 86)( 59, 88, 93)( 65, 95,134)
( 67, 99,100)( 69,102,104)( 72,106,109)( 76,111,115)( 81,117,122)
( 87,124,130)( 94,132,178)( 96,136,137)( 98,139,141)(101,143,146)
(105,148,152)(110,154,159)(116,161,167)(123,169,176)(133,180,181)
(135,183,185)(138,187,190)(142,192,196)(147,198,203)(153,205,211)
(160,213,220)(168,221,229)(177,230,273)(179,232,276)(182,235,280)
(186,239,286)(191,244,294)(197,250,304)(204,257,316)(212,265,330)
(231,275,347)(233,277,328)(234,279,351)(236,282,355)(237,283,356)
(238,285,359)(240,288,363)(241,290,367)(242,291,368)(243,293,371)
(245,296,375)(246,298,379)(247,300,383)(248,301,384)(249,303,387)
(251,306,391)(252,308,395)(253,310,399)(254,312,403)(255,313,404)
(256,315,406)(258,318,410)(259,320,414)(260,322,418)(261,324,422)
(262,326,426)(263,327,427)(264,329,428)(266,332,432)(267,334,436)
(268,336,440)(269,338,444)(270,340,448)(271,342,452)(272,343,453)
(274,281,346)(278,287,350)(284,295,358)(289,365,472)(292,305,370)
(297,377,483)(299,381,488)(302,317,386)(307,393,498)(309,397,503)
(311,401,508)(314,331,405)(319,412,516)(321,416,521)(323,420,526)
(325,424,531)(333,434,535)(335,438,538)(337,442,541)(339,446,544)
(341,450,547)(345,455,456)(349,459,460)(354,457,463)(357,465,466)
(362,461,469)(366,473,474)(369,476,477)(374,467,480)(378,484,485)
(382,489,490)(385,491,492)(390,478,495)(394,499,500)(398,504,505)
(402,509,510)(409,493,513)(413,517,518)(417,522,523)(421,527,528)
(425,532,533)(431,511,534)(435,536,537)(439,539,540)(443,542,543)
(447,545,546)(451,548,549)(454,551,553)(458,555,557)(464,560,562)
(471,566,611)(475,567,569)(482,573,618)(487,576,622)(497,581,624)
(502,584,626)(507,587,628)(515,588,629)(520,589,630)(525,590,631)
(530,591,632)(550,593,596)(554,598,601)(559,603,606)(565,610,652)
(572,617,655)(575,621,658)(580,623,660)(583,625,662)(586,627,664)
(592,634,638)(597,639,643)(609,651,682)(616,654,685)(620,657,688)
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[ ( 1, 2, 3, 5, 7, 10, 13, 17, 21, 26, 31, 37, 44)( 4, 6, 8, 11, 14,
18, 22, 27, 32, 39, 46, 55, 65)( 9, 12, 15, 19, 23, 28, 33, 40, 48,
57, 68, 80, 95)( 16, 20, 24, 29, 34, 41, 49, 59, 70, 83, 98,117,138)
( 25, 30, 35, 42, 50, 60, 72, 85,101,120,142,167,195)( 36, 43, 51, 61,
73, 87,103,123,145,171,200,231,266)( 38, 45, 53, 63, 76, 90,108,128,
152,178,208,241,107)( 47, 56, 66, 78, 91,109,129,153,179,209,242,278,
317)( 52, 62, 74, 88,105,125,148,174,204,236,272,310,351)
( 54, 64, 77, 92,110,131,155,182,212,246,282,322,364)( 58, 69, 81, 96,
114,130,154,180,210,243,279,318,360)( 67, 79, 94,111,132,156,183,213,
247,283,323,366,411)( 71, 84, 99,118,139,163,181,211,244,280,319,361,
406)( 75, 89,106,127,150,177,207,240,277,316,358,403,451)
( 82, 97,116,136,157,184,214,248,284,324,367,413,459)( 86,102,121,143,
168,196,226,245,281,320,362,407,455)( 93,112,133,158,185,216,250,287,
327,371,365,410,151)(100,119,141,165,193,215,249,285,325,368,414,461,
510)(104,124,146,172,201,232,267,304,321,363,408,456,506)
(113,134,160,187,219,253,291,331,376,422,471,457,507)(115,135,159,186,
217,251,288,328,372,418,412,458,502)(122,144,170,198,229,263,286,326,
369,415,462,512,559)(126,149,175,205,237,273,311,352,396,409,417,465,
514)(137,162,188,220,254,292,332,377,423,473,520,508,556)
(140,164,191,218,252,289,329,373,419,467,460,509,552)(147,173,203,234,
270,307,348,370,416,463,513,561,601)(161,189,221,256,294,335,380,427,
477,472,519,562,603)(166,194,224,255,293,333,378,424,474,522,569,557,
598)(169,197,227,261,290,330,374,420,468,517,511,558,595)
(176,206,239,275,314,355,400,447,464,359,404,452,501)(190,222,258,296,
338,383,431,481,531,576,567,608,641)(192,223,257,295,336,381,428,478,
527,521,568,604,636)(199,230,264,302,334,379,425,475,523,571,611,599,
634)(202,233,268,305,345,375,421,469,518,566,560,600,632)
(225,260,297,339,384,432,482,532,544,590,609,642,666)(228,262,300,337,
382,429,479,528,574,570,610,638,662)(235,271,308,349,393,426,476,524,
572,613,645,635,661)(238,274,312,353,397,444,470,466,515,563,602,629,
656)(259,298,340,386,434,485,535,494,545,589,627,655,675)
(265,303,343,385,433,483,533,577,617,648,643,667,683)(269,306,346,391,
430,480,529,575,616,612,644,664,681)(276,315,356,401,448,498,525,405,
453,503,551,593,628)(299,341,388,436,488,538,583,439,491,543,588,626,
654)(301,342,387,435,486,536,580,441,492,542,587,624,653)
(309,350,394,442,484,534,578,618,650,672,668,684,695)(313,354,398,445,
495,530,516,564,605,637,658,677,690)(344,390,437,489,539,584,620,389,
438,490,541,586,623)(347,392,440,487,537,581,619,651,649,671,685,696,
703)(357,402,449,499,548,579,454,504,553,594,630,657,676)
(395,443,493,540,585,621,652,674,689,687,697,704,709)(399,446,496,546,
582,565,606,639,663,679,692,700,706)(450,500,549,592,622,505,554,596,
631,659,678,691,699)(497,547,591,625,607,640,665,682,694,702,708,713,
715)(526,573,614,555,597,633,660,680,693,701,707,712,550)
(615,646,669,647,670,686,673,688,698,705,710,714,711),
( 2, 4)( 6, 9)( 12, 16)( 20, 25)( 30, 36)( 31, 38)( 39, 47)( 43, 52)
( 45, 54)( 48, 58)( 56, 67)( 59, 71)( 62, 75)( 64, 65)( 69, 82)
( 72, 86)( 76, 91)( 78, 93)( 79, 80)( 84,100)( 87,104)( 89,107)
( 92,111)( 94,113)( 96,115)( 97, 98)(102,122)(105,126)(109,130)
(116,137)(118,140)(119,120)(124,147)(127,151)(132,157)(133,159)
(135,161)(141,166)(143,169)(144,145)(149,176)(154,181)(160,188)
(162,190)(164,192)(170,199)(172,202)(173,174)(184,215)(186,218)
(194,225)(197,228)(203,235)(205,238)(206,207)(211,245)(220,255)
(221,257)(223,259)(230,265)(233,269)(239,276)(249,286)(252,290)
(258,297)(260,299)(262,301)(271,309)(274,313)(281,321)(293,334)
(295,337)(303,344)(306,347)(315,357)(317,359)(322,365)(326,370)
(330,375)(339,385)(340,387)(342,389)(350,395)(354,399)(360,405)
(363,409)(366,412)(371,417)(379,426)(382,430)(388,437)(390,439)
(392,441)(402,450)(406,454)(410,457)(413,460)(416,464)(418,466)
(421,470)(422,472)(433,484)(435,487)(443,494)(446,497)(452,502)
(455,505)(458,508)(461,511)(467,516)(473,521)(476,525)(477,526)
(480,530)(489,540)(490,542)(492,544)(500,550)(503,552)(506,555)
(509,557)(512,560)(514,562)(517,565)(519,567)(522,570)(527,547)
(531,545)(534,579)(537,582)(543,589)(553,595)(558,599)(561,602)
(563,604)(566,607)(568,609)(571,612)(574,615)(585,622)(587,625)
(593,629)(596,632)(600,635)(605,638)(610,643)(613,637)(614,627)
(616,647)(617,649)(630,658)(633,656)(639,664)(644,668)(650,663)
(651,673)(659,679)(665,677)(669,685)(671,687)(674,682)(680,694)
(686,692)(698,702)(705,711) ] ],
[3, Factorial(715)/2,1,"2",[[714,1]],713, "Alt(715)", ["A",715, 1], "Alt"],
[4, Factorial(715),0,"2",[[714, 1]],715, "Sym(715)", ["A",715, 1], "Sym"]];
PRIMGRP[716]:=
[[1, Factorial(716)/2,1,"2",[[715,1]],714, "Alt(716)", ["A",716, 1], "Alt"],
[2, Factorial(716),0,"2",[[715, 1]],716, "Sym(716)", ["A",716, 1], "Sym"]];
PRIMGRP[717]:=
[[1, Factorial(717)/2,1,"2",[[716,1]],715, "Alt(717)", ["A",717, 1], "Alt"],
[2, Factorial(717),0,"2",[[716, 1]],717, "Sym(717)", ["A",717, 1], "Sym"]];
PRIMGRP[718]:=
[[1, Factorial(718)/2,1,"2",[[717,1]],716, "Alt(718)", ["A",718, 1], "Alt"],
[2, Factorial(718),0,"2",[[717, 1]],718, "Sym(718)", ["A",718, 1], "Sym"]];
PRIMGRP[719]:=
[[1, Factorial(719)/2,1,"2",[[718,1]],717, "Alt(719)", ["A",719, 1], "Alt"],
[2, Factorial(719),0,"2",[[718, 1]],719, "Sym(719)", ["A",719, 1], "Sym"],
[ 3, 719, 3, "1", [ [ 1, 718 ] ], 1, "C(719)", [ "Z", 719, 1 ], [ ] ],
[ 4, 1438, 2, "1", [ [ 2, 359 ] ], 1, "D(2*719)", [ "Z", 719, 1 ],
[ [ [ Z(719)^359 ] ] ] ],
[ 5, 258121, 2, "1", [ [ 359, 2 ] ], 1, "719:359", [ "Z", 719, 1 ],
[ [ [ Z(719)^2 ] ] ] ],
[ 6, 516242, 2, "1", [ [ 718, 1 ] ], 2, "AGL(1, 719)", [ "Z", 719, 1 ],
[ [ [ Z(719) ] ] ] ]];
PRIMGRP[720]:=
[[ 1, 185847120, 1, "2", [ [ 719, 1 ] ], 2, "PSL(2, 719)",
[ "L", [ 2, 719 ], 1 ], "psl" ],
[ 2, 371694240, 0, "2", [ [ 719, 1 ] ], 3, "PGL(2, 719)",
[ "L", [ 2, 719 ], 1 ], "pgl" ],
[3, Factorial(720)/2,1,"2",[[719,1]],718, "Alt(720)", ["A",720, 1], "Alt"],
[4, Factorial(720),0,"2",[[719, 1]],720, "Sym(720)", ["A",720, 1], "Sym"]];